Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(106,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.106");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.n (of order \(5\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 211.6 | ||
Character | \(\chi\) | \(=\) | 525.211 |
Dual form | 525.2.n.c.316.6 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.74122 | − | 1.26507i | 1.23123 | − | 0.894542i | 0.234250 | − | 0.972176i | \(-0.424737\pi\) |
0.996982 | + | 0.0776340i | \(0.0247366\pi\) | |||||||
\(3\) | 0.309017 | − | 0.951057i | 0.178411 | − | 0.549093i | ||||
\(4\) | 0.813418 | − | 2.50344i | 0.406709 | − | 1.25172i | ||||
\(5\) | −0.783736 | − | 2.09422i | −0.350497 | − | 0.936564i | ||||
\(6\) | −0.665089 | − | 2.04693i | −0.271521 | − | 0.835657i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | −0.420520 | − | 1.29423i | −0.148676 | − | 0.457578i | ||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | −4.01400 | − | 2.65502i | −1.26934 | − | 0.839593i | ||||
\(11\) | −0.101817 | + | 0.0739744i | −0.0306990 | + | 0.0223041i | −0.603029 | − | 0.797719i | \(-0.706040\pi\) |
0.572330 | + | 0.820023i | \(0.306040\pi\) | |||||||
\(12\) | −2.12956 | − | 1.54721i | −0.614750 | − | 0.446642i | ||||
\(13\) | 0.0107405 | + | 0.00780342i | 0.00297887 | + | 0.00216428i | 0.589274 | − | 0.807933i | \(-0.299414\pi\) |
−0.586295 | + | 0.810098i | \(0.699414\pi\) | |||||||
\(14\) | 1.74122 | − | 1.26507i | 0.465362 | − | 0.338105i | ||||
\(15\) | −2.23391 | + | 0.0982272i | −0.576793 | + | 0.0253622i | ||||
\(16\) | 1.88960 | + | 1.37287i | 0.472400 | + | 0.343219i | ||||
\(17\) | −0.670192 | − | 2.06264i | −0.162545 | − | 0.500263i | 0.836302 | − | 0.548270i | \(-0.184713\pi\) |
−0.998847 | + | 0.0480064i | \(0.984713\pi\) | |||||||
\(18\) | −2.15227 | −0.507295 | ||||||||
\(19\) | −0.494144 | − | 1.52082i | −0.113365 | − | 0.348900i | 0.878238 | − | 0.478224i | \(-0.158719\pi\) |
−0.991602 | + | 0.129324i | \(0.958719\pi\) | |||||||
\(20\) | −5.88027 | + | 0.258561i | −1.31487 | + | 0.0578160i | ||||
\(21\) | 0.309017 | − | 0.951057i | 0.0674330 | − | 0.207538i | ||||
\(22\) | −0.0837033 | + | 0.257612i | −0.0178456 | + | 0.0549231i | ||||
\(23\) | 0.0892177 | − | 0.0648204i | 0.0186032 | − | 0.0135160i | −0.578445 | − | 0.815722i | \(-0.696340\pi\) |
0.597048 | + | 0.802206i | \(0.296340\pi\) | |||||||
\(24\) | −1.36083 | −0.277778 | ||||||||
\(25\) | −3.77152 | + | 3.28263i | −0.754303 | + | 0.656526i | ||||
\(26\) | 0.0285735 | 0.00560372 | ||||||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 0.813418 | − | 2.50344i | 0.153722 | − | 0.473106i | ||||
\(29\) | −1.01997 | + | 3.13914i | −0.189403 | + | 0.582923i | −0.999996 | − | 0.00268645i | \(-0.999145\pi\) |
0.810593 | + | 0.585610i | \(0.199145\pi\) | |||||||
\(30\) | −3.76547 | + | 2.99710i | −0.687478 | + | 0.547192i | ||||
\(31\) | 1.50888 | + | 4.64386i | 0.271003 | + | 0.834063i | 0.990249 | + | 0.139307i | \(0.0444875\pi\) |
−0.719246 | + | 0.694756i | \(0.755513\pi\) | |||||||
\(32\) | 7.74867 | 1.36978 | ||||||||
\(33\) | 0.0388906 | + | 0.119693i | 0.00676999 | + | 0.0208359i | ||||
\(34\) | −3.77634 | − | 2.74367i | −0.647638 | − | 0.470536i | ||||
\(35\) | −0.783736 | − | 2.09422i | −0.132476 | − | 0.353988i | ||||
\(36\) | −2.12956 | + | 1.54721i | −0.354926 | + | 0.257869i | ||||
\(37\) | 7.39723 | + | 5.37440i | 1.21610 | + | 0.883546i | 0.995770 | − | 0.0918798i | \(-0.0292876\pi\) |
0.220327 | + | 0.975426i | \(0.429288\pi\) | |||||||
\(38\) | −2.78437 | − | 2.02296i | −0.451684 | − | 0.328168i | ||||
\(39\) | 0.0107405 | − | 0.00780342i | 0.00171985 | − | 0.00124955i | ||||
\(40\) | −2.38082 | + | 1.89499i | −0.376441 | + | 0.299625i | ||||
\(41\) | 3.54267 | + | 2.57390i | 0.553272 | + | 0.401976i | 0.828991 | − | 0.559263i | \(-0.188916\pi\) |
−0.275718 | + | 0.961239i | \(0.588916\pi\) | |||||||
\(42\) | −0.665089 | − | 2.04693i | −0.102625 | − | 0.315849i | ||||
\(43\) | −3.94017 | −0.600870 | −0.300435 | − | 0.953802i | \(-0.597132\pi\) | ||||
−0.300435 | + | 0.953802i | \(0.597132\pi\) | |||||||
\(44\) | 0.102371 | + | 0.315065i | 0.0154330 | + | 0.0474979i | ||||
\(45\) | −0.596896 | + | 2.15493i | −0.0889801 | + | 0.321238i | ||||
\(46\) | 0.0733454 | − | 0.225734i | 0.0108142 | − | 0.0332826i | ||||
\(47\) | 2.71568 | − | 8.35799i | 0.396122 | − | 1.21914i | −0.531962 | − | 0.846768i | \(-0.678545\pi\) |
0.928084 | − | 0.372370i | \(-0.121455\pi\) | |||||||
\(48\) | 1.88960 | − | 1.37287i | 0.272740 | − | 0.198157i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −2.41429 | + | 10.4870i | −0.341432 | + | 1.48309i | ||||
\(51\) | −2.16879 | −0.303691 | ||||||||
\(52\) | 0.0282719 | − | 0.0205408i | 0.00392061 | − | 0.00284849i | ||||
\(53\) | 1.64638 | − | 5.06703i | 0.226147 | − | 0.696010i | −0.772026 | − | 0.635591i | \(-0.780756\pi\) |
0.998173 | − | 0.0604188i | \(-0.0192436\pi\) | |||||||
\(54\) | −0.665089 | + | 2.04693i | −0.0905071 | + | 0.278552i | ||||
\(55\) | 0.234716 | + | 0.155251i | 0.0316491 | + | 0.0209340i | ||||
\(56\) | −0.420520 | − | 1.29423i | −0.0561943 | − | 0.172948i | ||||
\(57\) | −1.59909 | −0.211804 | ||||||||
\(58\) | 2.19525 | + | 6.75628i | 0.288250 | + | 0.887143i | ||||
\(59\) | −6.59335 | − | 4.79035i | −0.858381 | − | 0.623651i | 0.0690627 | − | 0.997612i | \(-0.477999\pi\) |
−0.927444 | + | 0.373962i | \(0.877999\pi\) | |||||||
\(60\) | −1.57120 | + | 5.67237i | −0.202841 | + | 0.732299i | ||||
\(61\) | 7.37464 | − | 5.35799i | 0.944226 | − | 0.686020i | −0.00520857 | − | 0.999986i | \(-0.501658\pi\) |
0.949434 | + | 0.313966i | \(0.101658\pi\) | |||||||
\(62\) | 8.50214 | + | 6.17716i | 1.07977 | + | 0.784501i | ||||
\(63\) | −0.809017 | − | 0.587785i | −0.101927 | − | 0.0740540i | ||||
\(64\) | 9.71297 | − | 7.05689i | 1.21412 | − | 0.882111i | ||||
\(65\) | 0.00792438 | − | 0.0286088i | 0.000982898 | − | 0.00354848i | ||||
\(66\) | 0.219138 | + | 0.159213i | 0.0269740 | + | 0.0195978i | ||||
\(67\) | 4.16811 | + | 12.8281i | 0.509215 | + | 1.56720i | 0.793567 | + | 0.608483i | \(0.208222\pi\) |
−0.284351 | + | 0.958720i | \(0.591778\pi\) | |||||||
\(68\) | −5.70884 | −0.692299 | ||||||||
\(69\) | −0.0340781 | − | 0.104882i | −0.00410252 | − | 0.0126263i | ||||
\(70\) | −4.01400 | − | 2.65502i | −0.479765 | − | 0.317336i | ||||
\(71\) | −1.60605 | + | 4.94290i | −0.190603 | + | 0.586614i | −1.00000 | 0.000647173i | \(-0.999794\pi\) | |
0.809397 | + | 0.587262i | \(0.199794\pi\) | |||||||
\(72\) | −0.420520 | + | 1.29423i | −0.0495587 | + | 0.152526i | ||||
\(73\) | 4.51194 | − | 3.27812i | 0.528083 | − | 0.383675i | −0.291557 | − | 0.956553i | \(-0.594173\pi\) |
0.819640 | + | 0.572879i | \(0.194173\pi\) | |||||||
\(74\) | 19.6793 | 2.28767 | ||||||||
\(75\) | 1.95650 | + | 4.60131i | 0.225918 | + | 0.531314i | ||||
\(76\) | −4.20923 | −0.482832 | ||||||||
\(77\) | −0.101817 | + | 0.0739744i | −0.0116031 | + | 0.00843016i | ||||
\(78\) | 0.00882970 | − | 0.0271750i | 0.000999766 | − | 0.00307696i | ||||
\(79\) | −0.519206 | + | 1.59795i | −0.0584153 | + | 0.179784i | −0.976006 | − | 0.217742i | \(-0.930131\pi\) |
0.917591 | + | 0.397525i | \(0.130131\pi\) | |||||||
\(80\) | 1.39416 | − | 5.03321i | 0.155871 | − | 0.562730i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 9.42477 | 1.04079 | ||||||||
\(83\) | 0.521981 | + | 1.60649i | 0.0572949 | + | 0.176335i | 0.975608 | − | 0.219519i | \(-0.0704486\pi\) |
−0.918313 | + | 0.395854i | \(0.870449\pi\) | |||||||
\(84\) | −2.12956 | − | 1.54721i | −0.232354 | − | 0.168815i | ||||
\(85\) | −3.79436 | + | 3.02009i | −0.411557 | + | 0.327575i | ||||
\(86\) | −6.86072 | + | 4.98460i | −0.739810 | + | 0.537504i | ||||
\(87\) | 2.67031 | + | 1.94009i | 0.286287 | + | 0.208000i | ||||
\(88\) | 0.138556 | + | 0.100667i | 0.0147701 | + | 0.0107311i | ||||
\(89\) | 0.143290 | − | 0.104106i | 0.0151887 | − | 0.0110352i | −0.580165 | − | 0.814499i | \(-0.697012\pi\) |
0.595354 | + | 0.803464i | \(0.297012\pi\) | |||||||
\(90\) | 1.68681 | + | 4.50733i | 0.177806 | + | 0.475115i | ||||
\(91\) | 0.0107405 | + | 0.00780342i | 0.00112591 | + | 0.000818021i | ||||
\(92\) | −0.0897030 | − | 0.276078i | −0.00935219 | − | 0.0287831i | ||||
\(93\) | 4.88285 | 0.506328 | ||||||||
\(94\) | −5.84487 | − | 17.9887i | −0.602853 | − | 1.85539i | ||||
\(95\) | −2.79765 | + | 2.22677i | −0.287033 | + | 0.228462i | ||||
\(96\) | 2.39447 | − | 7.36942i | 0.244385 | − | 0.752138i | ||||
\(97\) | −3.79281 | + | 11.6731i | −0.385101 | + | 1.18522i | 0.551306 | + | 0.834303i | \(0.314130\pi\) |
−0.936407 | + | 0.350916i | \(0.885870\pi\) | |||||||
\(98\) | 1.74122 | − | 1.26507i | 0.175890 | − | 0.127792i | ||||
\(99\) | 0.125853 | 0.0126487 | ||||||||
\(100\) | 5.15006 | + | 12.1119i | 0.515006 | + | 1.21119i | ||||
\(101\) | −10.1988 | −1.01482 | −0.507410 | − | 0.861705i | \(-0.669397\pi\) | ||||
−0.507410 | + | 0.861705i | \(0.669397\pi\) | |||||||
\(102\) | −3.77634 | + | 2.74367i | −0.373914 | + | 0.271664i | ||||
\(103\) | −2.55055 | + | 7.84979i | −0.251313 | + | 0.773463i | 0.743220 | + | 0.669047i | \(0.233297\pi\) |
−0.994534 | + | 0.104416i | \(0.966703\pi\) | |||||||
\(104\) | 0.00558281 | − | 0.0171821i | 0.000547439 | − | 0.00168485i | ||||
\(105\) | −2.23391 | + | 0.0982272i | −0.218007 | + | 0.00958600i | ||||
\(106\) | −3.54345 | − | 10.9056i | −0.344171 | − | 1.05925i | ||||
\(107\) | 15.2913 | 1.47827 | 0.739133 | − | 0.673560i | \(-0.235236\pi\) | ||||
0.739133 | + | 0.673560i | \(0.235236\pi\) | |||||||
\(108\) | 0.813418 | + | 2.50344i | 0.0782712 | + | 0.240894i | ||||
\(109\) | −12.8553 | − | 9.33989i | −1.23131 | − | 0.894599i | −0.234323 | − | 0.972159i | \(-0.575287\pi\) |
−0.996988 | + | 0.0775595i | \(0.975287\pi\) | |||||||
\(110\) | 0.605098 | − | 0.0266068i | 0.0576938 | − | 0.00253685i | ||||
\(111\) | 7.39723 | − | 5.37440i | 0.702114 | − | 0.510116i | ||||
\(112\) | 1.88960 | + | 1.37287i | 0.178550 | + | 0.129724i | ||||
\(113\) | −12.7294 | − | 9.24848i | −1.19748 | − | 0.870023i | −0.203449 | − | 0.979085i | \(-0.565215\pi\) |
−0.994035 | + | 0.109062i | \(0.965215\pi\) | |||||||
\(114\) | −2.78437 | + | 2.02296i | −0.260780 | + | 0.189468i | ||||
\(115\) | −0.205671 | − | 0.136039i | −0.0191790 | − | 0.0126857i | ||||
\(116\) | 7.02899 | + | 5.10686i | 0.652626 | + | 0.474160i | ||||
\(117\) | −0.00410250 | − | 0.0126262i | −0.000379276 | − | 0.00116729i | ||||
\(118\) | −17.5407 | −1.61475 | ||||||||
\(119\) | −0.670192 | − | 2.06264i | −0.0614364 | − | 0.189082i | ||||
\(120\) | 1.06653 | + | 2.84988i | 0.0973606 | + | 0.260157i | ||||
\(121\) | −3.39429 | + | 10.4466i | −0.308572 | + | 0.949687i | ||||
\(122\) | 6.06265 | − | 18.6589i | 0.548887 | − | 1.68930i | ||||
\(123\) | 3.54267 | − | 2.57390i | 0.319432 | − | 0.232081i | ||||
\(124\) | 12.8530 | 1.15423 | ||||||||
\(125\) | 9.83042 | + | 5.32567i | 0.879260 | + | 0.476343i | ||||
\(126\) | −2.15227 | −0.191740 | ||||||||
\(127\) | −11.8368 | + | 8.59991i | −1.05034 | + | 0.763118i | −0.972277 | − | 0.233830i | \(-0.924874\pi\) |
−0.0780646 | + | 0.996948i | \(0.524874\pi\) | |||||||
\(128\) | 3.19605 | − | 9.83642i | 0.282493 | − | 0.869425i | ||||
\(129\) | −1.21758 | + | 3.74732i | −0.107202 | + | 0.329933i | ||||
\(130\) | −0.0223941 | − | 0.0598392i | −0.00196409 | − | 0.00524825i | ||||
\(131\) | −4.37429 | − | 13.4627i | −0.382184 | − | 1.17624i | −0.938503 | − | 0.345272i | \(-0.887787\pi\) |
0.556319 | − | 0.830969i | \(-0.312213\pi\) | |||||||
\(132\) | 0.331279 | 0.0288342 | ||||||||
\(133\) | −0.494144 | − | 1.52082i | −0.0428478 | − | 0.131872i | ||||
\(134\) | 23.4861 | + | 17.0637i | 2.02889 | + | 1.47408i | ||||
\(135\) | 1.86501 | + | 1.23359i | 0.160514 | + | 0.106171i | ||||
\(136\) | −2.38769 | + | 1.73476i | −0.204743 | + | 0.148754i | ||||
\(137\) | 12.0667 | + | 8.76695i | 1.03092 | + | 0.749011i | 0.968494 | − | 0.249038i | \(-0.0801146\pi\) |
0.0624314 | + | 0.998049i | \(0.480115\pi\) | |||||||
\(138\) | −0.192021 | − | 0.139511i | −0.0163459 | − | 0.0118760i | ||||
\(139\) | −13.4880 | + | 9.79961i | −1.14404 | + | 0.831192i | −0.987677 | − | 0.156508i | \(-0.949976\pi\) |
−0.156361 | + | 0.987700i | \(0.549976\pi\) | |||||||
\(140\) | −5.88027 | + | 0.258561i | −0.496973 | + | 0.0218524i | ||||
\(141\) | −7.10973 | − | 5.16552i | −0.598747 | − | 0.435015i | ||||
\(142\) | 3.45665 | + | 10.6385i | 0.290075 | + | 0.892760i | ||||
\(143\) | −0.00167082 | −0.000139721 | ||||||||
\(144\) | −0.721763 | − | 2.22136i | −0.0601469 | − | 0.185113i | ||||
\(145\) | 7.37343 | − | 0.324217i | 0.612330 | − | 0.0269248i | ||||
\(146\) | 3.70924 | − | 11.4159i | 0.306979 | − | 0.944785i | ||||
\(147\) | 0.309017 | − | 0.951057i | 0.0254873 | − | 0.0784418i | ||||
\(148\) | 19.4716 | − | 14.1469i | 1.60055 | − | 1.16287i | ||||
\(149\) | −1.90723 | −0.156246 | −0.0781232 | − | 0.996944i | \(-0.524893\pi\) | ||||
−0.0781232 | + | 0.996944i | \(0.524893\pi\) | |||||||
\(150\) | 9.22772 | + | 5.53680i | 0.753440 | + | 0.452078i | ||||
\(151\) | −5.90754 | −0.480749 | −0.240375 | − | 0.970680i | \(-0.577270\pi\) | ||||
−0.240375 | + | 0.970680i | \(0.577270\pi\) | |||||||
\(152\) | −1.76049 | + | 1.27907i | −0.142795 | + | 0.103746i | ||||
\(153\) | −0.670192 | + | 2.06264i | −0.0541818 | + | 0.166754i | ||||
\(154\) | −0.0837033 | + | 0.257612i | −0.00674500 | + | 0.0207590i | ||||
\(155\) | 8.54271 | − | 6.79949i | 0.686167 | − | 0.546149i | ||||
\(156\) | −0.0107989 | − | 0.0332356i | −0.000864605 | − | 0.00266098i | ||||
\(157\) | −3.49281 | −0.278756 | −0.139378 | − | 0.990239i | \(-0.544510\pi\) | ||||
−0.139378 | + | 0.990239i | \(0.544510\pi\) | |||||||
\(158\) | 1.11747 | + | 3.43923i | 0.0889014 | + | 0.273610i | ||||
\(159\) | −4.31027 | − | 3.13160i | −0.341827 | − | 0.248352i | ||||
\(160\) | −6.07291 | − | 16.2274i | −0.480106 | − | 1.28289i | ||||
\(161\) | 0.0892177 | − | 0.0648204i | 0.00703134 | − | 0.00510857i | ||||
\(162\) | 1.74122 | + | 1.26507i | 0.136804 | + | 0.0993936i | ||||
\(163\) | 6.68916 | + | 4.85996i | 0.523936 | + | 0.380661i | 0.818084 | − | 0.575098i | \(-0.195036\pi\) |
−0.294149 | + | 0.955760i | \(0.595036\pi\) | |||||||
\(164\) | 9.32529 | − | 6.77522i | 0.728183 | − | 0.529056i | ||||
\(165\) | 0.220184 | − | 0.175253i | 0.0171413 | − | 0.0136435i | ||||
\(166\) | 2.94122 | + | 2.13692i | 0.228283 | + | 0.165857i | ||||
\(167\) | 2.23746 | + | 6.88619i | 0.173140 | + | 0.532869i | 0.999544 | − | 0.0302085i | \(-0.00961712\pi\) |
−0.826404 | + | 0.563078i | \(0.809617\pi\) | |||||||
\(168\) | −1.36083 | −0.104990 | ||||||||
\(169\) | −4.01717 | − | 12.3636i | −0.309013 | − | 0.951044i | ||||
\(170\) | −2.78620 | + | 10.0588i | −0.213692 | + | 0.771476i | ||||
\(171\) | −0.494144 | + | 1.52082i | −0.0377882 | + | 0.116300i | ||||
\(172\) | −3.20500 | + | 9.86399i | −0.244379 | + | 0.752122i | ||||
\(173\) | −7.45561 | + | 5.41682i | −0.566840 | + | 0.411833i | −0.833956 | − | 0.551831i | \(-0.813929\pi\) |
0.267116 | + | 0.963664i | \(0.413929\pi\) | |||||||
\(174\) | 7.10397 | 0.538551 | ||||||||
\(175\) | −3.77152 | + | 3.28263i | −0.285100 | + | 0.248144i | ||||
\(176\) | −0.293951 | −0.0221574 | ||||||||
\(177\) | −6.59335 | + | 4.79035i | −0.495587 | + | 0.360065i | ||||
\(178\) | 0.117798 | − | 0.362544i | 0.00882931 | − | 0.0271738i | ||||
\(179\) | −2.73743 | + | 8.42494i | −0.204605 | + | 0.629709i | 0.795124 | + | 0.606446i | \(0.207405\pi\) |
−0.999729 | + | 0.0232630i | \(0.992595\pi\) | |||||||
\(180\) | 4.90921 | + | 3.24715i | 0.365911 | + | 0.242029i | ||||
\(181\) | −7.44723 | − | 22.9202i | −0.553548 | − | 1.70365i | −0.699747 | − | 0.714391i | \(-0.746704\pi\) |
0.146199 | − | 0.989255i | \(-0.453296\pi\) | |||||||
\(182\) | 0.0285735 | 0.00211801 | ||||||||
\(183\) | −2.81686 | − | 8.66941i | −0.208228 | − | 0.640861i | ||||
\(184\) | −0.121410 | − | 0.0882096i | −0.00895047 | − | 0.00650290i | ||||
\(185\) | 5.45771 | − | 19.7035i | 0.401259 | − | 1.44863i | ||||
\(186\) | 8.50214 | − | 6.17716i | 0.623407 | − | 0.452932i | ||||
\(187\) | 0.220819 | + | 0.160435i | 0.0161479 | + | 0.0117321i | ||||
\(188\) | −18.7148 | − | 13.5971i | −1.36492 | − | 0.991669i | ||||
\(189\) | −0.809017 | + | 0.587785i | −0.0588473 | + | 0.0427551i | ||||
\(190\) | −2.05432 | + | 7.41654i | −0.149036 | + | 0.538053i | ||||
\(191\) | 5.65247 | + | 4.10676i | 0.408998 | + | 0.297155i | 0.773196 | − | 0.634167i | \(-0.218657\pi\) |
−0.364198 | + | 0.931322i | \(0.618657\pi\) | |||||||
\(192\) | −3.71003 | − | 11.4183i | −0.267748 | − | 0.824044i | ||||
\(193\) | −10.4169 | −0.749822 | −0.374911 | − | 0.927061i | \(-0.622327\pi\) | ||||
−0.374911 | + | 0.927061i | \(0.622327\pi\) | |||||||
\(194\) | 8.16315 | + | 25.1236i | 0.586080 | + | 1.80377i | ||||
\(195\) | −0.0247598 | − | 0.0163771i | −0.00177308 | − | 0.00117279i | ||||
\(196\) | 0.813418 | − | 2.50344i | 0.0581013 | − | 0.178817i | ||||
\(197\) | 2.62448 | − | 8.07731i | 0.186986 | − | 0.575485i | −0.812991 | − | 0.582277i | \(-0.802162\pi\) |
0.999977 | + | 0.00679201i | \(0.00216198\pi\) | |||||||
\(198\) | 0.219138 | − | 0.159213i | 0.0155735 | − | 0.0113148i | ||||
\(199\) | −17.0147 | −1.20614 | −0.603069 | − | 0.797689i | \(-0.706056\pi\) | ||||
−0.603069 | + | 0.797689i | \(0.706056\pi\) | |||||||
\(200\) | 5.83447 | + | 3.50079i | 0.412559 | + | 0.247543i | ||||
\(201\) | 13.4883 | 0.951390 | ||||||||
\(202\) | −17.7584 | + | 12.9022i | −1.24948 | + | 0.907799i | ||||
\(203\) | −1.01997 | + | 3.13914i | −0.0715877 | + | 0.220324i | ||||
\(204\) | −1.76413 | + | 5.42943i | −0.123514 | + | 0.380136i | ||||
\(205\) | 2.61380 | − | 9.43640i | 0.182556 | − | 0.659066i | ||||
\(206\) | 5.48948 | + | 16.8949i | 0.382470 | + | 1.17712i | ||||
\(207\) | −0.110279 | −0.00766493 | ||||||||
\(208\) | 0.00958210 | + | 0.0294907i | 0.000664399 | + | 0.00204481i | ||||
\(209\) | 0.162814 | + | 0.118291i | 0.0112621 | + | 0.00818238i | ||||
\(210\) | −3.76547 | + | 2.99710i | −0.259842 | + | 0.206819i | ||||
\(211\) | 17.9487 | − | 13.0405i | 1.23564 | − | 0.897745i | 0.238340 | − | 0.971182i | \(-0.423397\pi\) |
0.997300 | + | 0.0734372i | \(0.0233969\pi\) | |||||||
\(212\) | −11.3458 | − | 8.24323i | −0.779235 | − | 0.566147i | ||||
\(213\) | 4.20468 | + | 3.05488i | 0.288100 | + | 0.209317i | ||||
\(214\) | 26.6256 | − | 19.3446i | 1.82009 | − | 1.32237i | ||||
\(215\) | 3.08805 | + | 8.25158i | 0.210603 | + | 0.562753i | ||||
\(216\) | 1.10094 | + | 0.799876i | 0.0749091 | + | 0.0544247i | ||||
\(217\) | 1.50888 | + | 4.64386i | 0.102430 | + | 0.315246i | ||||
\(218\) | −34.1995 | −2.31629 | ||||||||
\(219\) | −1.72341 | − | 5.30411i | −0.116457 | − | 0.358418i | ||||
\(220\) | 0.579584 | − | 0.461315i | 0.0390756 | − | 0.0311019i | ||||
\(221\) | 0.00889744 | − | 0.0273835i | 0.000598507 | − | 0.00184201i | ||||
\(222\) | 6.08122 | − | 18.7161i | 0.408145 | − | 1.25614i | ||||
\(223\) | −2.09371 | + | 1.52117i | −0.140205 | + | 0.101865i | −0.655677 | − | 0.755042i | \(-0.727617\pi\) |
0.515472 | + | 0.856906i | \(0.327617\pi\) | |||||||
\(224\) | 7.74867 | 0.517730 | ||||||||
\(225\) | 4.98070 | − | 0.438862i | 0.332047 | − | 0.0292574i | ||||
\(226\) | −33.8648 | −2.25265 | ||||||||
\(227\) | −3.41380 | + | 2.48027i | −0.226582 | + | 0.164622i | −0.695285 | − | 0.718735i | \(-0.744722\pi\) |
0.468702 | + | 0.883356i | \(0.344722\pi\) | |||||||
\(228\) | −1.30072 | + | 4.00322i | −0.0861426 | + | 0.265120i | ||||
\(229\) | −6.43748 | + | 19.8125i | −0.425401 | + | 1.30925i | 0.477209 | + | 0.878790i | \(0.341648\pi\) |
−0.902610 | + | 0.430459i | \(0.858352\pi\) | |||||||
\(230\) | −0.530220 | + | 0.0233143i | −0.0349617 | + | 0.00153730i | ||||
\(231\) | 0.0388906 | + | 0.119693i | 0.00255882 | + | 0.00787523i | ||||
\(232\) | 4.49167 | 0.294893 | ||||||||
\(233\) | 0.592618 | + | 1.82389i | 0.0388237 | + | 0.119487i | 0.968590 | − | 0.248663i | \(-0.0799912\pi\) |
−0.929766 | + | 0.368150i | \(0.879991\pi\) | |||||||
\(234\) | −0.0231164 | − | 0.0167951i | −0.00151117 | − | 0.00109793i | ||||
\(235\) | −19.6318 | + | 0.863232i | −1.28064 | + | 0.0563110i | ||||
\(236\) | −17.3555 | + | 12.6095i | −1.12975 | + | 0.820810i | ||||
\(237\) | 1.35930 | + | 0.987589i | 0.0882960 | + | 0.0641508i | ||||
\(238\) | −3.77634 | − | 2.74367i | −0.244784 | − | 0.177846i | ||||
\(239\) | −3.24014 | + | 2.35410i | −0.209587 | + | 0.152274i | −0.687627 | − | 0.726064i | \(-0.741347\pi\) |
0.478040 | + | 0.878338i | \(0.341347\pi\) | |||||||
\(240\) | −4.35605 | − | 2.88127i | −0.281182 | − | 0.185985i | ||||
\(241\) | −2.42920 | − | 1.76492i | −0.156479 | − | 0.113688i | 0.506791 | − | 0.862069i | \(-0.330832\pi\) |
−0.663269 | + | 0.748381i | \(0.730832\pi\) | |||||||
\(242\) | 7.30544 | + | 22.4838i | 0.469612 | + | 1.44532i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −7.41476 | − | 22.8203i | −0.474681 | − | 1.46092i | ||||
\(245\) | −0.783736 | − | 2.09422i | −0.0500710 | − | 0.133795i | ||||
\(246\) | 2.91241 | − | 8.96349i | 0.185689 | − | 0.571491i | ||||
\(247\) | 0.00656025 | − | 0.0201904i | 0.000417419 | − | 0.00128468i | ||||
\(248\) | 5.37570 | − | 3.90567i | 0.341357 | − | 0.248011i | ||||
\(249\) | 1.68917 | 0.107047 | ||||||||
\(250\) | 23.8543 | − | 3.16302i | 1.50868 | − | 0.200047i | ||||
\(251\) | 24.9606 | 1.57550 | 0.787748 | − | 0.615997i | \(-0.211247\pi\) | ||||
0.787748 | + | 0.615997i | \(0.211247\pi\) | |||||||
\(252\) | −2.12956 | + | 1.54721i | −0.134149 | + | 0.0974653i | ||||
\(253\) | −0.00428883 | + | 0.0131996i | −0.000269636 | + | 0.000829855i | ||||
\(254\) | −9.73094 | + | 29.9487i | −0.610573 | + | 1.87915i | ||||
\(255\) | 1.69975 | + | 4.54191i | 0.106443 | + | 0.284426i | ||||
\(256\) | 0.541291 | + | 1.66592i | 0.0338307 | + | 0.104120i | ||||
\(257\) | −18.8415 | −1.17530 | −0.587651 | − | 0.809114i | \(-0.699947\pi\) | ||||
−0.587651 | + | 0.809114i | \(0.699947\pi\) | |||||||
\(258\) | 2.62056 | + | 8.06526i | 0.163149 | + | 0.502121i | ||||
\(259\) | 7.39723 | + | 5.37440i | 0.459641 | + | 0.333949i | ||||
\(260\) | −0.0651746 | − | 0.0431091i | −0.00404196 | − | 0.00267351i | ||||
\(261\) | 2.67031 | − | 1.94009i | 0.165288 | − | 0.120089i | ||||
\(262\) | −24.6479 | − | 17.9078i | −1.52275 | − | 1.10635i | ||||
\(263\) | 3.15912 | + | 2.29524i | 0.194800 | + | 0.141530i | 0.680910 | − | 0.732367i | \(-0.261585\pi\) |
−0.486110 | + | 0.873898i | \(0.661585\pi\) | |||||||
\(264\) | 0.138556 | − | 0.100667i | 0.00852751 | − | 0.00619560i | ||||
\(265\) | −11.9018 | + | 0.523334i | −0.731122 | + | 0.0321482i | ||||
\(266\) | −2.78437 | − | 2.02296i | −0.170720 | − | 0.124036i | ||||
\(267\) | −0.0547318 | − | 0.168447i | −0.00334953 | − | 0.0103088i | ||||
\(268\) | 35.5049 | 2.16881 | ||||||||
\(269\) | −4.80497 | − | 14.7882i | −0.292964 | − | 0.901652i | −0.983898 | − | 0.178733i | \(-0.942800\pi\) |
0.690933 | − | 0.722919i | \(-0.257200\pi\) | |||||||
\(270\) | 4.80798 | − | 0.211412i | 0.292604 | − | 0.0128661i | ||||
\(271\) | −1.91707 | + | 5.90015i | −0.116454 | + | 0.358409i | −0.992248 | − | 0.124277i | \(-0.960339\pi\) |
0.875794 | + | 0.482686i | \(0.160339\pi\) | |||||||
\(272\) | 1.56535 | − | 4.81765i | 0.0949133 | − | 0.292113i | ||||
\(273\) | 0.0107405 | − | 0.00780342i | 0.000650044 | − | 0.000472284i | ||||
\(274\) | 32.1016 | 1.93933 | ||||||||
\(275\) | 0.141174 | − | 0.613223i | 0.00851311 | − | 0.0369788i | ||||
\(276\) | −0.290285 | −0.0174731 | ||||||||
\(277\) | −8.91777 | + | 6.47914i | −0.535817 | + | 0.389294i | −0.822529 | − | 0.568723i | \(-0.807438\pi\) |
0.286712 | + | 0.958017i | \(0.407438\pi\) | |||||||
\(278\) | −11.0884 | + | 34.1266i | −0.665039 | + | 2.04678i | ||||
\(279\) | 1.50888 | − | 4.64386i | 0.0903345 | − | 0.278021i | ||||
\(280\) | −2.38082 | + | 1.89499i | −0.142281 | + | 0.113247i | ||||
\(281\) | −10.3087 | − | 31.7269i | −0.614965 | − | 1.89267i | −0.402146 | − | 0.915576i | \(-0.631735\pi\) |
−0.212819 | − | 0.977092i | \(-0.568265\pi\) | |||||||
\(282\) | −18.9144 | −1.12634 | ||||||||
\(283\) | 7.09613 | + | 21.8397i | 0.421821 | + | 1.29823i | 0.906005 | + | 0.423266i | \(0.139117\pi\) |
−0.484184 | + | 0.874966i | \(0.660883\pi\) | |||||||
\(284\) | 11.0679 | + | 8.04129i | 0.656758 | + | 0.477163i | ||||
\(285\) | 1.25326 | + | 3.34884i | 0.0742367 | + | 0.198368i | ||||
\(286\) | −0.00290927 | + | 0.00211371i | −0.000172029 | + | 0.000124986i | ||||
\(287\) | 3.54267 | + | 2.57390i | 0.209117 | + | 0.151933i | ||||
\(288\) | −6.26880 | − | 4.55455i | −0.369393 | − | 0.268380i | ||||
\(289\) | 9.94797 | − | 7.22762i | 0.585175 | − | 0.425154i | ||||
\(290\) | 12.4286 | − | 9.89247i | 0.729835 | − | 0.580906i | ||||
\(291\) | 9.92970 | + | 7.21435i | 0.582089 | + | 0.422913i | ||||
\(292\) | −4.53649 | − | 13.9619i | −0.265478 | − | 0.817057i | ||||
\(293\) | −18.1404 | −1.05977 | −0.529887 | − | 0.848069i | \(-0.677766\pi\) | ||||
−0.529887 | + | 0.848069i | \(0.677766\pi\) | |||||||
\(294\) | −0.665089 | − | 2.04693i | −0.0387888 | − | 0.119380i | ||||
\(295\) | −4.86460 | + | 17.5623i | −0.283228 | + | 1.02252i | ||||
\(296\) | 3.84501 | − | 11.8337i | 0.223487 | − | 0.687822i | ||||
\(297\) | 0.0388906 | − | 0.119693i | 0.00225666 | − | 0.00694530i | ||||
\(298\) | −3.32092 | + | 2.41279i | −0.192376 | + | 0.139769i | ||||
\(299\) | 0.00146406 | 8.46689e−5 | ||||||||
\(300\) | 13.1106 | − | 1.15520i | 0.756940 | − | 0.0666958i | ||||
\(301\) | −3.94017 | −0.227108 | ||||||||
\(302\) | −10.2864 | + | 7.47348i | −0.591914 | + | 0.430050i | ||||
\(303\) | −3.15161 | + | 9.69965i | −0.181055 | + | 0.557230i | ||||
\(304\) | 1.15416 | − | 3.55214i | 0.0661957 | − | 0.203729i | ||||
\(305\) | −17.0006 | − | 11.2449i | −0.973450 | − | 0.643879i | ||||
\(306\) | 1.44243 | + | 4.43936i | 0.0824585 | + | 0.253781i | ||||
\(307\) | 9.69836 | 0.553514 | 0.276757 | − | 0.960940i | \(-0.410740\pi\) | ||||
0.276757 | + | 0.960940i | \(0.410740\pi\) | |||||||
\(308\) | 0.102371 | + | 0.315065i | 0.00583312 | + | 0.0179525i | ||||
\(309\) | 6.67743 | + | 4.85144i | 0.379866 | + | 0.275989i | ||||
\(310\) | 6.27291 | − | 22.6466i | 0.356278 | − | 1.28624i | ||||
\(311\) | −23.9841 | + | 17.4255i | −1.36001 | + | 0.988108i | −0.361570 | + | 0.932345i | \(0.617759\pi\) |
−0.998444 | + | 0.0557626i | \(0.982241\pi\) | |||||||
\(312\) | −0.0146160 | − | 0.0106191i | −0.000827467 | − | 0.000601190i | ||||
\(313\) | 7.46378 | + | 5.42275i | 0.421878 | + | 0.306512i | 0.778393 | − | 0.627777i | \(-0.216035\pi\) |
−0.356515 | + | 0.934290i | \(0.616035\pi\) | |||||||
\(314\) | −6.08176 | + | 4.41866i | −0.343214 | + | 0.249359i | ||||
\(315\) | −0.596896 | + | 2.15493i | −0.0336313 | + | 0.121416i | ||||
\(316\) | 3.57805 | + | 2.59961i | 0.201281 | + | 0.146239i | ||||
\(317\) | −7.35842 | − | 22.6469i | −0.413290 | − | 1.27198i | −0.913772 | − | 0.406228i | \(-0.866844\pi\) |
0.500482 | − | 0.865747i | \(-0.333156\pi\) | |||||||
\(318\) | −11.4669 | −0.643029 | ||||||||
\(319\) | −0.128366 | − | 0.395069i | −0.00718710 | − | 0.0221196i | ||||
\(320\) | −22.3911 | − | 14.8104i | −1.25170 | − | 0.827925i | ||||
\(321\) | 4.72527 | − | 14.5429i | 0.263739 | − | 0.811705i | ||||
\(322\) | 0.0733454 | − | 0.225734i | 0.00408738 | − | 0.0125797i | ||||
\(323\) | −2.80573 | + | 2.03848i | −0.156115 | + | 0.113424i | ||||
\(324\) | 2.63228 | 0.146238 | ||||||||
\(325\) | −0.0661237 | + | 0.00582631i | −0.00366788 | + | 0.000323186i | ||||
\(326\) | 17.7955 | 0.985604 | ||||||||
\(327\) | −12.8553 | + | 9.33989i | −0.710897 | + | 0.516497i | ||||
\(328\) | 1.84145 | − | 5.66740i | 0.101677 | − | 0.312930i | ||||
\(329\) | 2.71568 | − | 8.35799i | 0.149720 | − | 0.460791i | ||||
\(330\) | 0.161681 | − | 0.583704i | 0.00890024 | − | 0.0321319i | ||||
\(331\) | −3.97532 | − | 12.2348i | −0.218503 | − | 0.672484i | −0.998886 | − | 0.0471822i | \(-0.984976\pi\) |
0.780383 | − | 0.625302i | \(-0.215024\pi\) | |||||||
\(332\) | 4.44635 | 0.244025 | ||||||||
\(333\) | −2.82549 | − | 8.69597i | −0.154836 | − | 0.476536i | ||||
\(334\) | 12.6075 | + | 9.15985i | 0.689849 | + | 0.501205i | ||||
\(335\) | 23.5982 | − | 18.7828i | 1.28931 | − | 1.02621i | ||||
\(336\) | 1.88960 | − | 1.37287i | 0.103086 | − | 0.0748965i | ||||
\(337\) | −17.1788 | − | 12.4812i | −0.935791 | − | 0.679892i | 0.0116125 | − | 0.999933i | \(-0.496304\pi\) |
−0.947404 | + | 0.320040i | \(0.896304\pi\) | |||||||
\(338\) | −22.6356 | − | 16.4457i | −1.23122 | − | 0.894530i | ||||
\(339\) | −12.7294 | + | 9.24848i | −0.691368 | + | 0.502308i | ||||
\(340\) | 4.47422 | + | 11.9556i | 0.242649 | + | 0.648382i | ||||
\(341\) | −0.497157 | − | 0.361206i | −0.0269226 | − | 0.0195604i | ||||
\(342\) | 1.06353 | + | 3.27322i | 0.0575093 | + | 0.176995i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 1.65692 | + | 5.09947i | 0.0893351 | + | 0.274945i | ||||
\(345\) | −0.192937 | + | 0.153567i | −0.0103874 | + | 0.00826775i | ||||
\(346\) | −6.12922 | + | 18.8638i | −0.329509 | + | 1.01412i | ||||
\(347\) | 6.10456 | − | 18.7879i | 0.327710 | − | 1.00859i | −0.642492 | − | 0.766292i | \(-0.722100\pi\) |
0.970202 | − | 0.242296i | \(-0.0779004\pi\) | |||||||
\(348\) | 7.02899 | − | 5.10686i | 0.376794 | − | 0.273757i | ||||
\(349\) | 29.4592 | 1.57691 | 0.788457 | − | 0.615089i | \(-0.210880\pi\) | ||||
0.788457 | + | 0.615089i | \(0.210880\pi\) | |||||||
\(350\) | −2.41429 | + | 10.4870i | −0.129049 | + | 0.560556i | ||||
\(351\) | −0.0132760 | −0.000708619 | ||||||||
\(352\) | −0.788946 | + | 0.573203i | −0.0420510 | + | 0.0305518i | ||||
\(353\) | −7.54038 | + | 23.2069i | −0.401334 | + | 1.23518i | 0.522583 | + | 0.852588i | \(0.324968\pi\) |
−0.923918 | + | 0.382591i | \(0.875032\pi\) | |||||||
\(354\) | −5.42036 | + | 16.6822i | −0.288089 | + | 0.886647i | ||||
\(355\) | 11.6102 | − | 0.510514i | 0.616207 | − | 0.0270953i | ||||
\(356\) | −0.144069 | − | 0.443399i | −0.00763565 | − | 0.0235001i | ||||
\(357\) | −2.16879 | −0.114784 | ||||||||
\(358\) | 5.89169 | + | 18.1328i | 0.311385 | + | 0.958346i | ||||
\(359\) | −20.0988 | − | 14.6027i | −1.06078 | − | 0.770699i | −0.0865439 | − | 0.996248i | \(-0.527582\pi\) |
−0.974232 | + | 0.225549i | \(0.927582\pi\) | |||||||
\(360\) | 3.03997 | − | 0.133671i | 0.160221 | − | 0.00704506i | ||||
\(361\) | 13.3026 | − | 9.66491i | 0.700137 | − | 0.508679i | ||||
\(362\) | −41.9631 | − | 30.4879i | −2.20553 | − | 1.60241i | ||||
\(363\) | 8.88637 | + | 6.45633i | 0.466414 | + | 0.338869i | ||||
\(364\) | 0.0282719 | − | 0.0205408i | 0.00148185 | − | 0.00107663i | ||||
\(365\) | −10.4013 | − | 6.87982i | −0.544427 | − | 0.360106i | ||||
\(366\) | −15.8722 | − | 11.5318i | −0.829655 | − | 0.602779i | ||||
\(367\) | −2.25726 | − | 6.94712i | −0.117828 | − | 0.362637i | 0.874698 | − | 0.484667i | \(-0.161059\pi\) |
−0.992526 | + | 0.122031i | \(0.961059\pi\) | |||||||
\(368\) | 0.257576 | 0.0134271 | ||||||||
\(369\) | −1.35318 | − | 4.16466i | −0.0704438 | − | 0.216804i | ||||
\(370\) | −15.4233 | − | 41.2127i | −0.801821 | − | 2.14255i | ||||
\(371\) | 1.64638 | − | 5.06703i | 0.0854757 | − | 0.263067i | ||||
\(372\) | 3.97180 | − | 12.2239i | 0.205928 | − | 0.633781i | ||||
\(373\) | 29.3324 | − | 21.3112i | 1.51877 | − | 1.10345i | 0.556685 | − | 0.830724i | \(-0.312073\pi\) |
0.962090 | − | 0.272731i | \(-0.0879268\pi\) | |||||||
\(374\) | 0.587458 | 0.0303767 | ||||||||
\(375\) | 8.10278 | − | 7.70356i | 0.418426 | − | 0.397810i | ||||
\(376\) | −11.9591 | −0.616745 | ||||||||
\(377\) | −0.0354510 | + | 0.0257566i | −0.00182582 | + | 0.00132653i | ||||
\(378\) | −0.665089 | + | 2.04693i | −0.0342085 | + | 0.105283i | ||||
\(379\) | −4.26481 | + | 13.1257i | −0.219068 | + | 0.674223i | 0.779771 | + | 0.626065i | \(0.215335\pi\) |
−0.998840 | + | 0.0481588i | \(0.984665\pi\) | |||||||
\(380\) | 3.29893 | + | 8.81506i | 0.169231 | + | 0.452203i | ||||
\(381\) | 4.52124 | + | 13.9149i | 0.231630 | + | 0.712884i | ||||
\(382\) | 15.0376 | 0.769390 | ||||||||
\(383\) | 4.18027 | + | 12.8655i | 0.213602 | + | 0.657399i | 0.999250 | + | 0.0387250i | \(0.0123296\pi\) |
−0.785648 | + | 0.618674i | \(0.787670\pi\) | |||||||
\(384\) | −8.36736 | − | 6.07924i | −0.426995 | − | 0.310230i | ||||
\(385\) | 0.234716 | + | 0.155251i | 0.0119623 | + | 0.00791232i | ||||
\(386\) | −18.1381 | + | 13.1781i | −0.923204 | + | 0.670747i | ||||
\(387\) | 3.18766 | + | 2.31597i | 0.162038 | + | 0.117728i | ||||
\(388\) | 26.1377 | + | 18.9902i | 1.32694 | + | 0.964079i | ||||
\(389\) | 15.8616 | − | 11.5241i | 0.804214 | − | 0.584296i | −0.107933 | − | 0.994158i | \(-0.534423\pi\) |
0.912147 | + | 0.409862i | \(0.134423\pi\) | |||||||
\(390\) | −0.0638306 | + | 0.00280670i | −0.00323219 | + | 0.000142123i | ||||
\(391\) | −0.193494 | − | 0.140582i | −0.00978541 | − | 0.00710952i | ||||
\(392\) | −0.420520 | − | 1.29423i | −0.0212395 | − | 0.0653683i | ||||
\(393\) | −14.1555 | −0.714051 | ||||||||
\(394\) | −5.64859 | − | 17.3846i | −0.284572 | − | 0.875823i | ||||
\(395\) | 3.75339 | − | 0.165040i | 0.188853 | − | 0.00830407i | ||||
\(396\) | 0.102371 | − | 0.315065i | 0.00514433 | − | 0.0158326i | ||||
\(397\) | 0.0613325 | − | 0.188762i | 0.00307819 | − | 0.00947370i | −0.949506 | − | 0.313750i | \(-0.898415\pi\) |
0.952584 | + | 0.304276i | \(0.0984146\pi\) | |||||||
\(398\) | −29.6264 | + | 21.5248i | −1.48504 | + | 1.07894i | ||||
\(399\) | −1.59909 | −0.0800544 | ||||||||
\(400\) | −11.6333 | + | 1.02504i | −0.581665 | + | 0.0512519i | ||||
\(401\) | 16.8671 | 0.842302 | 0.421151 | − | 0.906990i | \(-0.361626\pi\) | ||||
0.421151 | + | 0.906990i | \(0.361626\pi\) | |||||||
\(402\) | 23.4861 | − | 17.0637i | 1.17138 | − | 0.851058i | ||||
\(403\) | −0.0200319 | + | 0.0616518i | −0.000997859 | + | 0.00307109i | ||||
\(404\) | −8.29590 | + | 25.5321i | −0.412736 | + | 1.27027i | ||||
\(405\) | 1.74953 | − | 1.39253i | 0.0869351 | − | 0.0691952i | ||||
\(406\) | 2.19525 | + | 6.75628i | 0.108948 | + | 0.335309i | ||||
\(407\) | −1.15073 | −0.0570397 | ||||||||
\(408\) | 0.912017 | + | 2.80690i | 0.0451516 | + | 0.138962i | ||||
\(409\) | 3.95652 | + | 2.87458i | 0.195637 | + | 0.142139i | 0.681291 | − | 0.732012i | \(-0.261419\pi\) |
−0.485654 | + | 0.874151i | \(0.661419\pi\) | |||||||
\(410\) | −7.38653 | − | 19.7375i | −0.364794 | − | 0.974767i | ||||
\(411\) | 12.0667 | − | 8.76695i | 0.595205 | − | 0.432442i | ||||
\(412\) | 17.5769 | + | 12.7703i | 0.865949 | + | 0.629149i | ||||
\(413\) | −6.59335 | − | 4.79035i | −0.324438 | − | 0.235718i | ||||
\(414\) | −0.192021 | + | 0.139511i | −0.00943730 | + | 0.00685660i | ||||
\(415\) | 2.95525 | − | 2.35221i | 0.145068 | − | 0.115465i | ||||
\(416\) | 0.0832245 | + | 0.0604661i | 0.00408041 | + | 0.00296459i | ||||
\(417\) | 5.15196 | + | 15.8561i | 0.252293 | + | 0.776476i | ||||
\(418\) | 0.433143 | 0.0211857 | ||||||||
\(419\) | −5.77622 | − | 17.7774i | −0.282187 | − | 0.868482i | −0.987228 | − | 0.159315i | \(-0.949071\pi\) |
0.705041 | − | 0.709167i | \(-0.250929\pi\) | |||||||
\(420\) | −1.57120 | + | 5.67237i | −0.0766665 | + | 0.276783i | ||||
\(421\) | 4.99663 | − | 15.3780i | 0.243521 | − | 0.749480i | −0.752355 | − | 0.658757i | \(-0.771082\pi\) |
0.995876 | − | 0.0907226i | \(-0.0289177\pi\) | |||||||
\(422\) | 14.7555 | − | 45.4129i | 0.718288 | − | 2.21066i | ||||
\(423\) | −7.10973 | + | 5.16552i | −0.345687 | + | 0.251156i | ||||
\(424\) | −7.25022 | −0.352102 | ||||||||
\(425\) | 9.29852 | + | 5.57928i | 0.451044 | + | 0.270635i | ||||
\(426\) | 11.1859 | 0.541961 | ||||||||
\(427\) | 7.37464 | − | 5.35799i | 0.356884 | − | 0.259291i | ||||
\(428\) | 12.4382 | − | 38.2809i | 0.601224 | − | 1.85038i | ||||
\(429\) | −0.000516311 | 0.00158904i | −2.49277e−5 | 7.67197e-5i | ||||||
\(430\) | 15.8158 | + | 10.4612i | 0.762708 | + | 0.504486i | ||||
\(431\) | 2.81709 | + | 8.67010i | 0.135694 | + | 0.417624i | 0.995697 | − | 0.0926649i | \(-0.0295385\pi\) |
−0.860003 | + | 0.510289i | \(0.829539\pi\) | |||||||
\(432\) | −2.33567 | −0.112375 | ||||||||
\(433\) | −6.55368 | − | 20.1702i | −0.314950 | − | 0.969316i | −0.975775 | − | 0.218776i | \(-0.929794\pi\) |
0.660825 | − | 0.750540i | \(-0.270206\pi\) | |||||||
\(434\) | 8.50214 | + | 6.17716i | 0.408116 | + | 0.296513i | ||||
\(435\) | 1.97017 | − | 7.11274i | 0.0944623 | − | 0.341030i | ||||
\(436\) | −33.8386 | + | 24.5852i | −1.62057 | + | 1.17742i | ||||
\(437\) | −0.142667 | − | 0.103653i | −0.00682467 | − | 0.00495841i | ||||
\(438\) | −9.71093 | − | 7.05540i | −0.464006 | − | 0.337120i | ||||
\(439\) | 6.89982 | − | 5.01301i | 0.329310 | − | 0.239258i | −0.410828 | − | 0.911713i | \(-0.634760\pi\) |
0.740138 | + | 0.672455i | \(0.234760\pi\) | |||||||
\(440\) | 0.102227 | − | 0.369062i | 0.00487348 | − | 0.0175944i | ||||
\(441\) | −0.809017 | − | 0.587785i | −0.0385246 | − | 0.0279898i | ||||
\(442\) | −0.0191497 | − | 0.0589368i | −0.000910859 | − | 0.00280334i | ||||
\(443\) | 19.2440 | 0.914311 | 0.457155 | − | 0.889387i | \(-0.348868\pi\) | ||||
0.457155 | + | 0.889387i | \(0.348868\pi\) | |||||||
\(444\) | −7.43747 | − | 22.8902i | −0.352967 | − | 1.08632i | ||||
\(445\) | −0.330322 | − | 0.218489i | −0.0156588 | − | 0.0103573i | ||||
\(446\) | −1.72122 | + | 5.29738i | −0.0815023 | + | 0.250838i | ||||
\(447\) | −0.589366 | + | 1.81388i | −0.0278761 | + | 0.0857937i | ||||
\(448\) | 9.71297 | − | 7.05689i | 0.458895 | − | 0.333407i | ||||
\(449\) | −34.0935 | −1.60897 | −0.804486 | − | 0.593972i | \(-0.797559\pi\) | ||||
−0.804486 | + | 0.593972i | \(0.797559\pi\) | |||||||
\(450\) | 8.11733 | − | 7.06511i | 0.382655 | − | 0.333053i | ||||
\(451\) | −0.551107 | −0.0259506 | ||||||||
\(452\) | −33.5074 | + | 24.3445i | −1.57605 | + | 1.14507i | ||||
\(453\) | −1.82553 | + | 5.61841i | −0.0857709 | + | 0.263976i | ||||
\(454\) | −2.80647 | + | 8.63743i | −0.131714 | + | 0.405375i | ||||
\(455\) | 0.00792438 | − | 0.0286088i | 0.000371501 | − | 0.00134120i | ||||
\(456\) | 0.672447 | + | 2.06958i | 0.0314902 | + | 0.0969169i | ||||
\(457\) | 36.4541 | 1.70525 | 0.852626 | − | 0.522522i | \(-0.175009\pi\) | ||||
0.852626 | + | 0.522522i | \(0.175009\pi\) | |||||||
\(458\) | 13.8552 | + | 42.6420i | 0.647412 | + | 1.99253i | ||||
\(459\) | 1.75458 | + | 1.27478i | 0.0818970 | + | 0.0595016i | ||||
\(460\) | −0.507864 | + | 0.404230i | −0.0236793 | + | 0.0188473i | ||||
\(461\) | 10.2369 | − | 7.43753i | 0.476779 | − | 0.346400i | −0.323298 | − | 0.946297i | \(-0.604792\pi\) |
0.800077 | + | 0.599897i | \(0.204792\pi\) | |||||||
\(462\) | 0.219138 | + | 0.159213i | 0.0101952 | + | 0.00740726i | ||||
\(463\) | 31.4196 | + | 22.8277i | 1.46019 | + | 1.06089i | 0.983312 | + | 0.181927i | \(0.0582334\pi\) |
0.476883 | + | 0.878967i | \(0.341767\pi\) | |||||||
\(464\) | −6.23698 | + | 4.53143i | −0.289544 | + | 0.210366i | ||||
\(465\) | −3.82686 | − | 10.2258i | −0.177466 | − | 0.474208i | ||||
\(466\) | 3.33924 | + | 2.42610i | 0.154687 | + | 0.112387i | ||||
\(467\) | 8.88760 | + | 27.3532i | 0.411269 | + | 1.26576i | 0.915546 | + | 0.402214i | \(0.131759\pi\) |
−0.504276 | + | 0.863542i | \(0.668241\pi\) | |||||||
\(468\) | −0.0349460 | −0.00161538 | ||||||||
\(469\) | 4.16811 | + | 12.8281i | 0.192465 | + | 0.592347i | ||||
\(470\) | −33.0914 | + | 26.3388i | −1.52639 | + | 1.21492i | ||||
\(471\) | −1.07934 | + | 3.32186i | −0.0497332 | + | 0.153063i | ||||
\(472\) | −3.42717 | + | 10.5477i | −0.157748 | + | 0.485499i | ||||
\(473\) | 0.401176 | − | 0.291472i | 0.0184461 | − | 0.0134019i | ||||
\(474\) | 3.61622 | 0.166098 | ||||||||
\(475\) | 6.85596 | + | 4.11371i | 0.314573 | + | 0.188750i | ||||
\(476\) | −5.70884 | −0.261664 | ||||||||
\(477\) | −4.31027 | + | 3.13160i | −0.197354 | + | 0.143386i | ||||
\(478\) | −2.66370 | + | 8.19803i | −0.121835 | + | 0.374969i | ||||
\(479\) | −5.98813 | + | 18.4296i | −0.273605 | + | 0.842068i | 0.715981 | + | 0.698120i | \(0.245980\pi\) |
−0.989585 | + | 0.143948i | \(0.954020\pi\) | |||||||
\(480\) | −17.3098 | + | 0.761130i | −0.790082 | + | 0.0347407i | ||||
\(481\) | 0.0375111 | + | 0.115447i | 0.00171036 | + | 0.00526395i | ||||
\(482\) | −6.46254 | −0.294360 | ||||||||
\(483\) | −0.0340781 | − | 0.104882i | −0.00155061 | − | 0.00477228i | ||||
\(484\) | 23.3914 | + | 16.9948i | 1.06324 | + | 0.772493i | ||||
\(485\) | 27.4185 | − | 1.20562i | 1.24501 | − | 0.0547444i | ||||
\(486\) | 1.74122 | − | 1.26507i | 0.0789836 | − | 0.0573849i | ||||
\(487\) | −8.90891 | − | 6.47270i | −0.403701 | − | 0.293306i | 0.367346 | − | 0.930085i | \(-0.380267\pi\) |
−0.771047 | + | 0.636778i | \(0.780267\pi\) | |||||||
\(488\) | −10.0356 | − | 7.29131i | −0.454292 | − | 0.330062i | ||||
\(489\) | 6.68916 | − | 4.85996i | 0.302494 | − | 0.219775i | ||||
\(490\) | −4.01400 | − | 2.65502i | −0.181334 | − | 0.119942i | ||||
\(491\) | −5.43546 | − | 3.94909i | −0.245299 | − | 0.178220i | 0.458342 | − | 0.888776i | \(-0.348444\pi\) |
−0.703641 | + | 0.710556i | \(0.748444\pi\) | |||||||
\(492\) | −3.56194 | − | 10.9625i | −0.160585 | − | 0.494229i | ||||
\(493\) | 7.15848 | 0.322402 | ||||||||
\(494\) | −0.0141194 | − | 0.0434552i | −0.000635264 | − | 0.00195514i | ||||
\(495\) | −0.0986353 | − | 0.263563i | −0.00443333 | − | 0.0118463i | ||||
\(496\) | −3.52426 | + | 10.8466i | −0.158244 | + | 0.487025i | ||||
\(497\) | −1.60605 | + | 4.94290i | −0.0720410 | + | 0.221719i | ||||
\(498\) | 2.94122 | − | 2.13692i | 0.131799 | − | 0.0957577i | ||||
\(499\) | 6.36993 | 0.285157 | 0.142579 | − | 0.989783i | \(-0.454461\pi\) | ||||
0.142579 | + | 0.989783i | \(0.454461\pi\) | |||||||
\(500\) | 21.3288 | − | 20.2779i | 0.953851 | − | 0.906856i | ||||
\(501\) | 7.24057 | 0.323485 | ||||||||
\(502\) | 43.4620 | − | 31.5770i | 1.93980 | − | 1.40935i | ||||
\(503\) | −1.13411 | + | 3.49043i | −0.0505674 | + | 0.155631i | −0.973151 | − | 0.230166i | \(-0.926073\pi\) |
0.922584 | + | 0.385796i | \(0.126073\pi\) | |||||||
\(504\) | −0.420520 | + | 1.29423i | −0.0187314 | + | 0.0576494i | ||||
\(505\) | 7.99317 | + | 21.3586i | 0.355691 | + | 0.950443i | ||||
\(506\) | 0.00923072 | + | 0.0284092i | 0.000410356 | + | 0.00126294i | ||||
\(507\) | −12.9998 | −0.577342 | ||||||||
\(508\) | 11.9011 | + | 36.6280i | 0.528028 | + | 1.62510i | ||||
\(509\) | −28.1955 | − | 20.4852i | −1.24974 | − | 0.907991i | −0.251535 | − | 0.967848i | \(-0.580935\pi\) |
−0.998207 | + | 0.0598572i | \(0.980935\pi\) | |||||||
\(510\) | 8.70551 | + | 5.75818i | 0.385487 | + | 0.254977i | ||||
\(511\) | 4.51194 | − | 3.27812i | 0.199597 | − | 0.145015i | ||||
\(512\) | 19.7847 | + | 14.3745i | 0.874370 | + | 0.635267i | ||||
\(513\) | 1.29369 | + | 0.939919i | 0.0571177 | + | 0.0414984i | ||||
\(514\) | −32.8073 | + | 23.8359i | −1.44707 | + | 1.05136i | ||||
\(515\) | 18.4382 | − | 0.810744i | 0.812482 | − | 0.0357257i | ||||
\(516\) | 8.39081 | + | 6.09628i | 0.369385 | + | 0.268374i | ||||
\(517\) | 0.341775 | + | 1.05188i | 0.0150313 | + | 0.0462615i | ||||
\(518\) | 19.6793 | 0.864657 | ||||||||
\(519\) | 2.84779 | + | 8.76460i | 0.125004 | + | 0.384723i | ||||
\(520\) | −0.0403586 | + | 0.00177461i | −0.00176984 | + | 7.78217e-5i | ||||
\(521\) | −7.35881 | + | 22.6481i | −0.322395 | + | 0.992231i | 0.650207 | + | 0.759757i | \(0.274682\pi\) |
−0.972603 | + | 0.232474i | \(0.925318\pi\) | |||||||
\(522\) | 2.19525 | − | 6.75628i | 0.0960834 | − | 0.295714i | ||||
\(523\) | 34.2257 | − | 24.8664i | 1.49659 | − | 1.08733i | 0.524869 | − | 0.851183i | \(-0.324114\pi\) |
0.971717 | − | 0.236150i | \(-0.0758858\pi\) | |||||||
\(524\) | −37.2612 | −1.62776 | ||||||||
\(525\) | 1.95650 | + | 4.60131i | 0.0853888 | + | 0.200818i | ||||
\(526\) | 8.40438 | 0.366449 | ||||||||
\(527\) | 8.56737 | − | 6.22456i | 0.373200 | − | 0.271146i | ||||
\(528\) | −0.0908359 | + | 0.279564i | −0.00395312 | + | 0.0121665i | ||||
\(529\) | −7.10363 | + | 21.8627i | −0.308854 | + | 0.950554i | ||||
\(530\) | −20.0617 | + | 15.9679i | −0.871423 | + | 0.693601i | ||||
\(531\) | 2.51844 | + | 7.75095i | 0.109291 | + | 0.336363i | ||||
\(532\) | −4.20923 | −0.182493 | ||||||||
\(533\) | 0.0179648 | + | 0.0552899i | 0.000778141 | + | 0.00239487i | ||||
\(534\) | −0.308398 | − | 0.224065i | −0.0133457 | − | 0.00969622i | ||||
\(535\) | −11.9843 | − | 32.0233i | −0.518128 | − | 1.38449i | ||||
\(536\) | 14.8497 | − | 10.7890i | 0.641410 | − | 0.466012i | ||||
\(537\) | 7.16668 | + | 5.20690i | 0.309265 | + | 0.224694i | ||||
\(538\) | −27.0747 | − | 19.6709i | −1.16727 | − | 0.848073i | ||||
\(539\) | −0.101817 | + | 0.0739744i | −0.00438557 | + | 0.00318630i | ||||
\(540\) | 4.60526 | − | 3.66551i | 0.198179 | − | 0.157739i | ||||
\(541\) | −5.69164 | − | 4.13522i | −0.244703 | − | 0.177787i | 0.458673 | − | 0.888605i | \(-0.348325\pi\) |
−0.703376 | + | 0.710818i | \(0.748325\pi\) | |||||||
\(542\) | 4.12607 | + | 12.6987i | 0.177230 | + | 0.545457i | ||||
\(543\) | −24.0997 | −1.03422 | ||||||||
\(544\) | −5.19309 | − | 15.9827i | −0.222652 | − | 0.685252i | ||||
\(545\) | −9.48467 | + | 34.2417i | −0.406278 | + | 1.46676i | ||||
\(546\) | 0.00882970 | − | 0.0271750i | 0.000377876 | − | 0.00116298i | ||||
\(547\) | −13.0502 | + | 40.1644i | −0.557986 | + | 1.71730i | 0.129939 | + | 0.991522i | \(0.458522\pi\) |
−0.687925 | + | 0.725782i | \(0.741478\pi\) | |||||||
\(548\) | 31.7628 | − | 23.0770i | 1.35684 | − | 0.985802i | ||||
\(549\) | −9.11555 | −0.389042 | ||||||||
\(550\) | −0.529957 | − | 1.24636i | −0.0225974 | − | 0.0531448i | ||||
\(551\) | 5.27808 | 0.224854 | ||||||||
\(552\) | −0.121410 | + | 0.0882096i | −0.00516756 | + | 0.00375445i | ||||
\(553\) | −0.519206 | + | 1.59795i | −0.0220789 | + | 0.0679519i | ||||
\(554\) | −7.33125 | + | 22.5633i | −0.311475 | + | 0.958622i | ||||
\(555\) | −17.0527 | − | 11.2793i | −0.723845 | − | 0.478780i | ||||
\(556\) | 13.5614 | + | 41.7376i | 0.575131 | + | 1.77007i | ||||
\(557\) | 19.1036 | 0.809444 | 0.404722 | − | 0.914440i | \(-0.367368\pi\) | ||||
0.404722 | + | 0.914440i | \(0.367368\pi\) | |||||||
\(558\) | −3.24753 | − | 9.99486i | −0.137479 | − | 0.423116i | ||||
\(559\) | −0.0423193 | − | 0.0307468i | −0.00178992 | − | 0.00130045i | ||||
\(560\) | 1.39416 | − | 5.03321i | 0.0589138 | − | 0.212692i | ||||
\(561\) | 0.220819 | − | 0.160435i | 0.00932300 | − | 0.00677355i | ||||
\(562\) | −58.0866 | − | 42.2024i | −2.45024 | − | 1.78020i | ||||
\(563\) | 33.9289 | + | 24.6508i | 1.42993 | + | 1.03891i | 0.990029 | + | 0.140861i | \(0.0449871\pi\) |
0.439903 | + | 0.898045i | \(0.355013\pi\) | |||||||
\(564\) | −18.7148 | + | 13.5971i | −0.788034 | + | 0.572540i | ||||
\(565\) | −9.39183 | + | 33.9066i | −0.395117 | + | 1.42646i | ||||
\(566\) | 39.9847 | + | 29.0506i | 1.68068 | + | 1.22109i | ||||
\(567\) | 0.309017 | + | 0.951057i | 0.0129775 | + | 0.0399406i | ||||
\(568\) | 7.07261 | 0.296760 | ||||||||
\(569\) | 2.68086 | + | 8.25085i | 0.112388 | + | 0.345894i | 0.991393 | − | 0.130918i | \(-0.0417924\pi\) |
−0.879006 | + | 0.476812i | \(0.841792\pi\) | |||||||
\(570\) | 6.41873 | + | 4.24561i | 0.268851 | + | 0.177829i | ||||
\(571\) | −6.51699 | + | 20.0572i | −0.272728 | + | 0.839369i | 0.717084 | + | 0.696987i | \(0.245476\pi\) |
−0.989812 | + | 0.142382i | \(0.954524\pi\) | |||||||
\(572\) | −0.00135907 | + | 0.00418280i | −5.68257e−5 | + | 0.000174892i | ||||
\(573\) | 5.65247 | − | 4.10676i | 0.236135 | − | 0.171562i | ||||
\(574\) | 9.42477 | 0.393382 | ||||||||
\(575\) | −0.123704 | + | 0.537340i | −0.00515883 | + | 0.0224086i | ||||
\(576\) | −12.0059 | −0.500246 | ||||||||
\(577\) | 21.9622 | − | 15.9564i | 0.914297 | − | 0.664275i | −0.0278012 | − | 0.999613i | \(-0.508851\pi\) |
0.942098 | + | 0.335338i | \(0.108851\pi\) | |||||||
\(578\) | 8.17818 | − | 25.1698i | 0.340167 | − | 1.04693i | ||||
\(579\) | −3.21899 | + | 9.90702i | −0.133776 | + | 0.411722i | ||||
\(580\) | 5.18602 | − | 18.7227i | 0.215338 | − | 0.777418i | ||||
\(581\) | 0.521981 | + | 1.60649i | 0.0216554 | + | 0.0666485i | ||||
\(582\) | 26.4165 | 1.09500 | ||||||||
\(583\) | 0.207201 | + | 0.637700i | 0.00858140 | + | 0.0264108i | ||||
\(584\) | −6.13999 | − | 4.46096i | −0.254075 | − | 0.184596i | ||||
\(585\) | −0.0232268 | + | 0.0184871i | −0.000960308 | + | 0.000764349i | ||||
\(586\) | −31.5865 | + | 22.9489i | −1.30483 | + | 0.948012i | ||||
\(587\) | −3.41483 | − | 2.48102i | −0.140945 | − | 0.102403i | 0.515078 | − | 0.857143i | \(-0.327763\pi\) |
−0.656023 | + | 0.754741i | \(0.727763\pi\) | |||||||
\(588\) | −2.12956 | − | 1.54721i | −0.0878214 | − | 0.0638060i | ||||
\(589\) | 6.31688 | − | 4.58948i | 0.260282 | − | 0.189106i | ||||
\(590\) | 13.7472 | + | 36.7340i | 0.565965 | + | 1.51231i | ||||
\(591\) | −6.87097 | − | 4.99205i | −0.282634 | − | 0.205346i | ||||
\(592\) | 6.59943 | + | 20.3109i | 0.271235 | + | 0.834775i | ||||
\(593\) | 42.3129 | 1.73758 | 0.868791 | − | 0.495180i | \(-0.164898\pi\) | ||||
0.868791 | + | 0.495180i | \(0.164898\pi\) | |||||||
\(594\) | −0.0837033 | − | 0.257612i | −0.00343439 | − | 0.0105700i | ||||
\(595\) | −3.79436 | + | 3.02009i | −0.155554 | + | 0.123812i | ||||
\(596\) | −1.55138 | + | 4.77464i | −0.0635468 | + | 0.195577i | ||||
\(597\) | −5.25783 | + | 16.1819i | −0.215188 | + | 0.662282i | ||||
\(598\) | 0.00254926 | − | 0.00185215i | 0.000104247 | − | 7.57399e-5i | ||||
\(599\) | −19.4630 | −0.795236 | −0.397618 | − | 0.917551i | \(-0.630163\pi\) | ||||
−0.397618 | + | 0.917551i | \(0.630163\pi\) | |||||||
\(600\) | 5.13240 | − | 4.46710i | 0.209529 | − | 0.182369i | ||||
\(601\) | 8.80231 | 0.359054 | 0.179527 | − | 0.983753i | \(-0.442543\pi\) | ||||
0.179527 | + | 0.983753i | \(0.442543\pi\) | |||||||
\(602\) | −6.86072 | + | 4.98460i | −0.279622 | + | 0.203157i | ||||
\(603\) | 4.16811 | − | 12.8281i | 0.169738 | − | 0.522401i | ||||
\(604\) | −4.80530 | + | 14.7892i | −0.195525 | + | 0.601764i | ||||
\(605\) | 24.5376 | − | 1.07894i | 0.997596 | − | 0.0438653i | ||||
\(606\) | 6.78311 | + | 20.8763i | 0.275545 | + | 0.848041i | ||||
\(607\) | 10.2483 | 0.415966 | 0.207983 | − | 0.978132i | \(-0.433310\pi\) | ||||
0.207983 | + | 0.978132i | \(0.433310\pi\) | |||||||
\(608\) | −3.82896 | − | 11.7843i | −0.155285 | − | 0.477918i | ||||
\(609\) | 2.67031 | + | 1.94009i | 0.108206 | + | 0.0786166i | ||||
\(610\) | −43.8274 | + | 1.92714i | −1.77452 | + | 0.0780274i | ||||
\(611\) | 0.0943886 | − | 0.0685773i | 0.00381855 | − | 0.00277434i | ||||
\(612\) | 4.61855 | + | 3.35557i | 0.186694 | + | 0.135641i | ||||
\(613\) | −24.9576 | − | 18.1327i | −1.00803 | − | 0.732375i | −0.0442329 | − | 0.999021i | \(-0.514084\pi\) |
−0.963794 | + | 0.266647i | \(0.914084\pi\) | |||||||
\(614\) | 16.8870 | − | 12.2691i | 0.681505 | − | 0.495142i | ||||
\(615\) | −8.16684 | − | 5.40188i | −0.329319 | − | 0.217825i | ||||
\(616\) | 0.138556 | + | 0.100667i | 0.00558257 | + | 0.00405597i | ||||
\(617\) | −0.792966 | − | 2.44050i | −0.0319236 | − | 0.0982507i | 0.933825 | − | 0.357730i | \(-0.116449\pi\) |
−0.965749 | + | 0.259479i | \(0.916449\pi\) | |||||||
\(618\) | 17.7643 | 0.714587 | ||||||||
\(619\) | −5.43461 | − | 16.7260i | −0.218436 | − | 0.672276i | −0.998892 | − | 0.0470652i | \(-0.985013\pi\) |
0.780456 | − | 0.625210i | \(-0.214987\pi\) | |||||||
\(620\) | −10.0734 | − | 26.9170i | −0.404556 | − | 1.08101i | ||||
\(621\) | −0.0340781 | + | 0.104882i | −0.00136751 | + | 0.00420876i | ||||
\(622\) | −19.7172 | + | 60.6833i | −0.790588 | + | 2.43318i | ||||
\(623\) | 0.143290 | − | 0.104106i | 0.00574078 | − | 0.00417092i | ||||
\(624\) | 0.0310083 | 0.00124133 | ||||||||
\(625\) | 3.44868 | − | 24.7610i | 0.137947 | − | 0.990440i | ||||
\(626\) | 19.8563 | 0.793617 | ||||||||
\(627\) | 0.162814 | − | 0.118291i | 0.00650217 | − | 0.00472410i | ||||
\(628\) | −2.84111 | + | 8.74405i | −0.113373 | + | 0.348926i | ||||
\(629\) | 6.12788 | − | 18.8597i | 0.244335 | − | 0.751985i | ||||
\(630\) | 1.68681 | + | 4.50733i | 0.0672042 | + | 0.179576i | ||||
\(631\) | −0.766383 | − | 2.35868i | −0.0305092 | − | 0.0938978i | 0.934642 | − | 0.355589i | \(-0.115720\pi\) |
−0.965152 | + | 0.261691i | \(0.915720\pi\) | |||||||
\(632\) | 2.28645 | 0.0909501 | ||||||||
\(633\) | −6.85579 | − | 21.1000i | −0.272493 | − | 0.838648i | ||||
\(634\) | −41.4626 | − | 30.1244i | −1.64669 | − | 1.19639i | ||||
\(635\) | 27.2870 | + | 18.0487i | 1.08285 | + | 0.716242i | ||||
\(636\) | −11.3458 | + | 8.24323i | −0.449891 | + | 0.326865i | ||||
\(637\) | 0.0107405 | + | 0.00780342i | 0.000425554 | + | 0.000309183i | ||||
\(638\) | −0.723305 | − | 0.525512i | −0.0286359 | − | 0.0208052i | ||||
\(639\) | 4.20468 | − | 3.05488i | 0.166335 | − | 0.120849i | ||||
\(640\) | −23.1045 | + | 1.01593i | −0.913285 | + | 0.0401580i | ||||
\(641\) | −20.1620 | − | 14.6486i | −0.796353 | − | 0.578584i | 0.113489 | − | 0.993539i | \(-0.463797\pi\) |
−0.909842 | + | 0.414955i | \(0.863797\pi\) | |||||||
\(642\) | −10.1701 | − | 31.3002i | −0.401380 | − | 1.23532i | ||||
\(643\) | 26.1096 | 1.02966 | 0.514832 | − | 0.857291i | \(-0.327854\pi\) | ||||
0.514832 | + | 0.857291i | \(0.327854\pi\) | |||||||
\(644\) | −0.0897030 | − | 0.276078i | −0.00353479 | − | 0.0108790i | ||||
\(645\) | 8.80198 | − | 0.387032i | 0.346578 | − | 0.0152394i | ||||
\(646\) | −2.30658 | + | 7.09891i | −0.0907510 | + | 0.279303i | ||||
\(647\) | −5.12213 | + | 15.7643i | −0.201372 | + | 0.619758i | 0.798471 | + | 0.602033i | \(0.205642\pi\) |
−0.999843 | + | 0.0177252i | \(0.994358\pi\) | |||||||
\(648\) | 1.10094 | − | 0.799876i | 0.0432488 | − | 0.0314221i | ||||
\(649\) | 1.02568 | 0.0402614 | ||||||||
\(650\) | −0.107765 | + | 0.0937962i | −0.00422691 | + | 0.00367899i | ||||
\(651\) | 4.88285 | 0.191374 | ||||||||
\(652\) | 17.6077 | − | 12.7928i | 0.689572 | − | 0.501003i | ||||
\(653\) | 8.88204 | − | 27.3361i | 0.347581 | − | 1.06974i | −0.612606 | − | 0.790388i | \(-0.709879\pi\) |
0.960187 | − | 0.279357i | \(-0.0901211\pi\) | |||||||
\(654\) | −10.5682 | + | 32.5257i | −0.413251 | + | 1.27186i | ||||
\(655\) | −24.7656 | + | 19.7119i | −0.967670 | + | 0.770209i | ||||
\(656\) | 3.16059 | + | 9.72729i | 0.123400 | + | 0.379787i | ||||
\(657\) | −5.57707 | −0.217582 | ||||||||
\(658\) | −5.84487 | − | 17.9887i | −0.227857 | − | 0.701271i | ||||
\(659\) | 5.72898 | + | 4.16235i | 0.223169 | + | 0.162142i | 0.693752 | − | 0.720214i | \(-0.255956\pi\) |
−0.470583 | + | 0.882356i | \(0.655956\pi\) | |||||||
\(660\) | −0.259635 | − | 0.693772i | −0.0101063 | − | 0.0270050i | ||||
\(661\) | 15.2267 | − | 11.0629i | 0.592251 | − | 0.430295i | −0.250869 | − | 0.968021i | \(-0.580716\pi\) |
0.843120 | + | 0.537726i | \(0.180716\pi\) | |||||||
\(662\) | −22.3998 | − | 16.2744i | −0.870594 | − | 0.632523i | ||||
\(663\) | −0.0232938 | − | 0.0169239i | −0.000904657 | − | 0.000657272i | ||||
\(664\) | 1.85966 | − | 1.35112i | 0.0721689 | − | 0.0524338i | ||||
\(665\) | −2.79765 | + | 2.22677i | −0.108488 | + | 0.0863504i | ||||
\(666\) | −15.9209 | − | 11.5672i | −0.616921 | − | 0.448219i | ||||
\(667\) | 0.112481 | + | 0.346181i | 0.00435529 | + | 0.0134042i | ||||
\(668\) | 19.0592 | 0.737422 | ||||||||
\(669\) | 0.799724 | + | 2.46130i | 0.0309191 | + | 0.0951593i | ||||
\(670\) | 17.3282 | − | 62.5585i | 0.669446 | − | 2.41685i | ||||
\(671\) | −0.354510 | + | 1.09107i | −0.0136857 | + | 0.0421202i | ||||
\(672\) | 2.39447 | − | 7.36942i | 0.0923687 | − | 0.284282i | ||||
\(673\) | 30.4634 | − | 22.1329i | 1.17428 | − | 0.853161i | 0.182761 | − | 0.983157i | \(-0.441496\pi\) |
0.991515 | + | 0.129996i | \(0.0414964\pi\) | |||||||
\(674\) | −45.7018 | −1.76037 | ||||||||
\(675\) | 1.12174 | − | 4.87255i | 0.0431758 | − | 0.187544i | ||||
\(676\) | −34.2191 | −1.31612 | ||||||||
\(677\) | −28.0611 | + | 20.3876i | −1.07848 | + | 0.783559i | −0.977417 | − | 0.211321i | \(-0.932223\pi\) |
−0.101060 | + | 0.994880i | \(0.532223\pi\) | |||||||
\(678\) | −10.4648 | + | 32.2074i | −0.401898 | + | 1.23692i | ||||
\(679\) | −3.79281 | + | 11.6731i | −0.145555 | + | 0.447971i | ||||
\(680\) | 5.50429 | + | 3.64076i | 0.211080 | + | 0.139617i | ||||
\(681\) | 1.30396 | + | 4.01317i | 0.0499677 | + | 0.153785i | ||||
\(682\) | −1.32261 | −0.0506455 | ||||||||
\(683\) | 0.726964 | + | 2.23737i | 0.0278165 | + | 0.0856104i | 0.964001 | − | 0.265899i | \(-0.0856686\pi\) |
−0.936184 | + | 0.351509i | \(0.885669\pi\) | |||||||
\(684\) | 3.40534 | + | 2.47413i | 0.130206 | + | 0.0946006i | ||||
\(685\) | 8.90284 | − | 32.1412i | 0.340160 | − | 1.22805i | ||||
\(686\) | 1.74122 | − | 1.26507i | 0.0664803 | − | 0.0483007i | ||||
\(687\) | 16.8535 | + | 12.2448i | 0.643003 | + | 0.467169i | ||||
\(688\) | −7.44534 | − | 5.40936i | −0.283851 | − | 0.206230i | ||||
\(689\) | 0.0572231 | − | 0.0415750i | 0.00218002 | − | 0.00158388i | ||||
\(690\) | −0.141674 | + | 0.511474i | −0.00539343 | + | 0.0194715i | ||||
\(691\) | −22.7536 | − | 16.5315i | −0.865588 | − | 0.628887i | 0.0638111 | − | 0.997962i | \(-0.479674\pi\) |
−0.929400 | + | 0.369075i | \(0.879674\pi\) | |||||||
\(692\) | 7.49617 | + | 23.0708i | 0.284962 | + | 0.877022i | ||||
\(693\) | 0.125853 | 0.00478075 | ||||||||
\(694\) | −13.1387 | − | 40.4367i | −0.498737 | − | 1.53496i | ||||
\(695\) | 31.0936 | + | 20.5665i | 1.17945 | + | 0.780134i | ||||
\(696\) | 1.38800 | − | 4.27184i | 0.0526121 | − | 0.161923i | ||||
\(697\) | 2.93476 | − | 9.03226i | 0.111162 | − | 0.342121i | ||||
\(698\) | 51.2951 | − | 37.2681i | 1.94155 | − | 1.41062i | ||||
\(699\) | 1.91775 | 0.0725361 | ||||||||
\(700\) | 5.15006 | + | 12.1119i | 0.194654 | + | 0.457788i | ||||
\(701\) | 14.0281 | 0.529835 | 0.264917 | − | 0.964271i | \(-0.414655\pi\) | ||||
0.264917 | + | 0.964271i | \(0.414655\pi\) | |||||||
\(702\) | −0.0231164 | + | 0.0167951i | −0.000872474 | + | 0.000633890i | ||||
\(703\) | 4.51820 | − | 13.9056i | 0.170407 | − | 0.524459i | ||||
\(704\) | −0.466917 | + | 1.43702i | −0.0175976 | + | 0.0541598i | ||||
\(705\) | −5.24559 | + | 18.9377i | −0.197560 | + | 0.713237i | ||||
\(706\) | 16.2290 | + | 49.9476i | 0.610785 | + | 1.87980i | ||||
\(707\) | −10.1988 | −0.383566 | ||||||||
\(708\) | 6.62922 | + | 20.4026i | 0.249141 | + | 0.766778i | ||||
\(709\) | 15.8181 | + | 11.4925i | 0.594062 | + | 0.431611i | 0.843766 | − | 0.536711i | \(-0.180333\pi\) |
−0.249704 | + | 0.968322i | \(0.580333\pi\) | |||||||
\(710\) | 19.5702 | − | 15.5767i | 0.734456 | − | 0.584584i | ||||
\(711\) | 1.35930 | − | 0.987589i | 0.0509777 | − | 0.0370375i | ||||
\(712\) | −0.194993 | − | 0.141671i | −0.00730767 | − | 0.00530933i | ||||
\(713\) | 0.435636 | + | 0.316508i | 0.0163147 | + | 0.0118533i | ||||
\(714\) | −3.77634 | + | 2.74367i | −0.141326 | + | 0.102679i | ||||
\(715\) | 0.00130948 | + | 0.00349906i | 4.89717e−5 | + | 0.000130857i | ||||
\(716\) | 18.8647 | + | 13.7060i | 0.705006 | + | 0.512217i | ||||
\(717\) | 1.23762 | + | 3.80901i | 0.0462198 | + | 0.142250i | ||||
\(718\) | −53.4700 | −1.99548 | ||||||||
\(719\) | −8.74342 | − | 26.9095i | −0.326075 | − | 1.00355i | −0.970953 | − | 0.239269i | \(-0.923092\pi\) |
0.644879 | − | 0.764285i | \(-0.276908\pi\) | |||||||
\(720\) | −4.08634 | + | 3.25249i | −0.152289 | + | 0.121213i | ||||
\(721\) | −2.55055 | + | 7.84979i | −0.0949875 | + | 0.292342i | ||||
\(722\) | 10.9360 | − | 33.6576i | 0.406996 | − | 1.25260i | ||||
\(723\) | −2.42920 | + | 1.76492i | −0.0903429 | + | 0.0656380i | ||||
\(724\) | −63.4372 | −2.35762 | ||||||||
\(725\) | −6.45780 | − | 15.1875i | −0.239837 | − | 0.564049i | ||||
\(726\) | 23.6409 | 0.877396 | ||||||||
\(727\) | 11.3645 | − | 8.25676i | 0.421484 | − | 0.306226i | −0.356750 | − | 0.934200i | \(-0.616115\pi\) |
0.778235 | + | 0.627973i | \(0.216115\pi\) | |||||||
\(728\) | 0.00558281 | − | 0.0171821i | 0.000206913 | − | 0.000636812i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −26.8144 | + | 1.17906i | −0.992447 | + | 0.0436389i | ||||
\(731\) | 2.64067 | + | 8.12714i | 0.0976686 | + | 0.300593i | ||||
\(732\) | −23.9947 | −0.886868 | ||||||||
\(733\) | −12.9879 | − | 39.9727i | −0.479720 | − | 1.47643i | −0.839485 | − | 0.543383i | \(-0.817143\pi\) |
0.359765 | − | 0.933043i | \(-0.382857\pi\) | |||||||
\(734\) | −12.7190 | − | 9.24091i | −0.469467 | − | 0.341088i | ||||
\(735\) | −2.23391 | + | 0.0982272i | −0.0823990 | + | 0.00362317i | ||||
\(736\) | 0.691318 | − | 0.502272i | 0.0254823 | − | 0.0185140i | ||||
\(737\) | −1.37334 | − | 0.997787i | −0.0505875 | − | 0.0367540i | ||||
\(738\) | −7.62480 | − | 5.53974i | −0.280673 | − | 0.203921i | ||||
\(739\) | 17.2014 | − | 12.4975i | 0.632762 | − | 0.459729i | −0.224594 | − | 0.974452i | \(-0.572106\pi\) |
0.857356 | + | 0.514724i | \(0.172106\pi\) | |||||||
\(740\) | −44.8873 | − | 29.6903i | −1.65009 | − | 1.09144i | ||||
\(741\) | −0.0171750 | − | 0.0124783i | −0.000630938 | − | 0.000458403i | ||||
\(742\) | −3.54345 | − | 10.9056i | −0.130084 | − | 0.400358i | ||||
\(743\) | −10.8259 | −0.397164 | −0.198582 | − | 0.980084i | \(-0.563634\pi\) | ||||
−0.198582 | + | 0.980084i | \(0.563634\pi\) | |||||||
\(744\) | −2.05333 | − | 6.31951i | −0.0752789 | − | 0.231685i | ||||
\(745\) | 1.49476 | + | 3.99416i | 0.0547639 | + | 0.146335i | ||||
\(746\) | 24.1140 | − | 74.2154i | 0.882877 | − | 2.71722i | ||||
\(747\) | 0.521981 | − | 1.60649i | 0.0190983 | − | 0.0587785i | ||||
\(748\) | 0.581257 | − | 0.422308i | 0.0212529 | − | 0.0154411i | ||||
\(749\) | 15.2913 | 0.558732 | ||||||||
\(750\) | 4.36319 | − | 23.6643i | 0.159321 | − | 0.864097i | ||||
\(751\) | −51.1600 | −1.86686 | −0.933428 | − | 0.358764i | \(-0.883198\pi\) | ||||
−0.933428 | + | 0.358764i | \(0.883198\pi\) | |||||||
\(752\) | 16.6060 | − | 12.0650i | 0.605559 | − | 0.439964i | ||||
\(753\) | 7.71324 | − | 23.7389i | 0.281086 | − | 0.865094i | ||||
\(754\) | −0.0291441 | + | 0.0896962i | −0.00106136 | + | 0.00326654i | ||||
\(755\) | 4.62995 | + | 12.3717i | 0.168501 | + | 0.450252i | ||||
\(756\) | 0.813418 | + | 2.50344i | 0.0295837 | + | 0.0910494i | ||||
\(757\) | −29.0520 | −1.05591 | −0.527957 | − | 0.849271i | \(-0.677042\pi\) | ||||
−0.527957 | + | 0.849271i | \(0.677042\pi\) | |||||||
\(758\) | 9.17903 | + | 28.2501i | 0.333397 | + | 1.02609i | ||||
\(759\) | 0.0112283 | + | 0.00815783i | 0.000407561 | + | 0.000296110i | ||||
\(760\) | 4.05841 | + | 2.68440i | 0.147214 | + | 0.0973734i | ||||
\(761\) | −23.9720 | + | 17.4167i | −0.868984 | + | 0.631354i | −0.930314 | − | 0.366764i | \(-0.880466\pi\) |
0.0613302 | + | 0.998118i | \(0.480466\pi\) | |||||||
\(762\) | 25.4759 | + | 18.5093i | 0.922895 | + | 0.670523i | ||||
\(763\) | −12.8553 | − | 9.33989i | −0.465392 | − | 0.338127i | ||||
\(764\) | 14.8789 | − | 10.8101i | 0.538298 | − | 0.391097i | ||||
\(765\) | 4.84487 | − | 0.213034i | 0.175167 | − | 0.00770225i | ||||
\(766\) | 23.5546 | + | 17.1135i | 0.851064 | + | 0.618334i | ||||
\(767\) | −0.0334347 | − | 0.102901i | −0.00120726 | − | 0.00371555i | ||||
\(768\) | 1.75165 | 0.0632074 | ||||||||
\(769\) | 7.59125 | + | 23.3635i | 0.273747 | + | 0.842508i | 0.989548 | + | 0.144203i | \(0.0460619\pi\) |
−0.715801 | + | 0.698305i | \(0.753938\pi\) | |||||||
\(770\) | 0.605098 | − | 0.0266068i | 0.0218062 | − | 0.000958841i | ||||
\(771\) | −5.82235 | + | 17.9194i | −0.209687 | + | 0.645350i | ||||
\(772\) | −8.47326 | + | 26.0780i | −0.304959 | + | 0.938568i | ||||
\(773\) | 6.73928 | − | 4.89637i | 0.242395 | − | 0.176110i | −0.459955 | − | 0.887942i | \(-0.652134\pi\) |
0.702350 | + | 0.711832i | \(0.252134\pi\) | |||||||
\(774\) | 8.48031 | 0.304819 | ||||||||
\(775\) | −20.9349 | − | 12.5613i | −0.752003 | − | 0.451215i | ||||
\(776\) | 16.7025 | 0.599586 | ||||||||
\(777\) | 7.39723 | − | 5.37440i | 0.265374 | − | 0.192806i | ||||
\(778\) | 13.0397 | − | 40.1321i | 0.467497 | − | 1.43881i | ||||
\(779\) | 2.16385 | − | 6.65965i | 0.0775280 | − | 0.238607i | ||||
\(780\) | −0.0611393 | + | 0.0486633i | −0.00218914 | + | 0.00174242i | ||||
\(781\) | −0.202125 | − | 0.622078i | −0.00723261 | − | 0.0222597i | ||||
\(782\) | −0.514763 | −0.0184079 | ||||||||
\(783\) | −1.01997 | − | 3.13914i | −0.0364507 | − | 0.112184i | ||||
\(784\) | 1.88960 | + | 1.37287i | 0.0674857 | + | 0.0490312i | ||||
\(785\) | 2.73744 | + | 7.31471i | 0.0977034 | + | 0.261073i | ||||
\(786\) | −24.6479 | + | 17.9078i | −0.879163 | + | 0.638749i | ||||
\(787\) | −40.6502 | − | 29.5341i | −1.44902 | − | 1.05278i | −0.986059 | − | 0.166398i | \(-0.946786\pi\) |
−0.462963 | − | 0.886378i | \(-0.653214\pi\) | |||||||
\(788\) | −18.0863 | − | 13.1405i | −0.644298 | − | 0.468110i | ||||
\(789\) | 3.15912 | − | 2.29524i | 0.112468 | − | 0.0817126i | ||||
\(790\) | 6.32670 | − | 5.03568i | 0.225094 | − | 0.179162i | ||||
\(791\) | −12.7294 | − | 9.24848i | −0.452607 | − | 0.328838i | ||||
\(792\) | −0.0529236 | − | 0.162882i | −0.00188056 | − | 0.00578776i | ||||
\(793\) | 0.121018 | 0.00429747 | ||||||||
\(794\) | −0.132004 | − | 0.406267i | −0.00468466 | − | 0.0144179i | ||||
\(795\) | −3.18014 | + | 11.4810i | −0.112788 | + | 0.407189i | ||||
\(796\) | −13.8401 | + | 42.5953i | −0.490548 | + | 1.50975i | ||||
\(797\) | −7.45615 | + | 22.9477i | −0.264110 | + | 0.812848i | 0.727787 | + | 0.685804i | \(0.240549\pi\) |
−0.991897 | + | 0.127044i | \(0.959451\pi\) | |||||||
\(798\) | −2.78437 | + | 2.02296i | −0.0985655 | + | 0.0716120i | ||||
\(799\) | −19.0595 | −0.674278 | ||||||||
\(800\) | −29.2242 | + | 25.4360i | −1.03323 | + | 0.899299i | ||||
\(801\) | −0.177116 | −0.00625808 | ||||||||
\(802\) | 29.3694 | − | 21.3381i | 1.03707 | − | 0.753475i | ||||
\(803\) | −0.216896 | + | 0.667536i | −0.00765408 | + | 0.0235568i | ||||
\(804\) | 10.9716 | − | 33.7671i | 0.386939 | − | 1.19088i | ||||
\(805\) | −0.205671 | − | 0.136039i | −0.00724896 | − | 0.00479476i | ||||
\(806\) | 0.0431141 | + | 0.132691i | 0.00151863 | + | 0.00467386i | ||||
\(807\) | −15.5492 | −0.547359 | ||||||||
\(808\) | 4.28880 | + | 13.1996i | 0.150880 | + | 0.464359i | ||||
\(809\) | −13.8901 | − | 10.0917i | −0.488349 | − | 0.354806i | 0.316200 | − | 0.948693i | \(-0.397593\pi\) |
−0.804549 | + | 0.593886i | \(0.797593\pi\) | |||||||
\(810\) | 1.28468 | − | 4.63799i | 0.0451392 | − | 0.162962i | ||||
\(811\) | 8.01259 | − | 5.82148i | 0.281360 | − | 0.204420i | −0.438150 | − | 0.898902i | \(-0.644366\pi\) |
0.719510 | + | 0.694482i | \(0.244366\pi\) | |||||||
\(812\) | 7.02899 | + | 5.10686i | 0.246669 | + | 0.179216i | ||||
\(813\) | 5.01897 | + | 3.64649i | 0.176023 | + | 0.127888i | ||||
\(814\) | −2.00368 | + | 1.45576i | −0.0702291 | + | 0.0510244i | ||||
\(815\) | 4.93529 | − | 17.8175i | 0.172876 | − | 0.624120i | ||||
\(816\) | −4.09814 | − | 2.97747i | −0.143464 | − | 0.104232i | ||||
\(817\) | 1.94701 | + | 5.99229i | 0.0681173 | + | 0.209644i | ||||
\(818\) | 10.5257 | 0.368024 | ||||||||
\(819\) | −0.00410250 | − | 0.0126262i | −0.000143353 | − | 0.000441195i | ||||
\(820\) | −21.4974 | − | 14.2192i | −0.750721 | − | 0.496557i | ||||
\(821\) | −2.86014 | + | 8.80260i | −0.0998195 | + | 0.307213i | −0.988480 | − | 0.151353i | \(-0.951637\pi\) |
0.888660 | + | 0.458566i | \(0.151637\pi\) | |||||||
\(822\) | 9.91995 | − | 30.5305i | 0.345998 | − | 1.06487i | ||||
\(823\) | −9.27827 | + | 6.74106i | −0.323420 | + | 0.234978i | −0.737633 | − | 0.675201i | \(-0.764057\pi\) |
0.414213 | + | 0.910180i | \(0.364057\pi\) | |||||||
\(824\) | 11.2320 | 0.391284 | ||||||||
\(825\) | −0.539585 | − | 0.323761i | −0.0187859 | − | 0.0112719i | ||||
\(826\) | −17.5407 | −0.610318 | ||||||||
\(827\) | 21.6959 | − | 15.7630i | 0.754442 | − | 0.548134i | −0.142759 | − | 0.989758i | \(-0.545597\pi\) |
0.897200 | + | 0.441624i | \(0.145597\pi\) | |||||||
\(828\) | −0.0897030 | + | 0.276078i | −0.00311740 | + | 0.00959436i | ||||
\(829\) | 13.8662 | − | 42.6757i | 0.481592 | − | 1.48219i | −0.355265 | − | 0.934765i | \(-0.615609\pi\) |
0.836857 | − | 0.547421i | \(-0.184391\pi\) | |||||||
\(830\) | 2.17004 | − | 7.83434i | 0.0753233 | − | 0.271934i | ||||
\(831\) | 3.40629 | + | 10.4835i | 0.118163 | + | 0.363668i | ||||
\(832\) | 0.159390 | 0.00552585 | ||||||||
\(833\) | −0.670192 | − | 2.06264i | −0.0232208 | − | 0.0714662i | ||||
\(834\) | 29.0299 | + | 21.0914i | 1.00522 | + | 0.730336i | ||||
\(835\) | 12.6676 | − | 10.0827i | 0.438381 | − | 0.348926i | ||||
\(836\) | 0.428572 | − | 0.311376i | 0.0148225 | − | 0.0107691i | ||||
\(837\) | −3.95031 | − | 2.87007i | −0.136543 | − | 0.0992040i | ||||
\(838\) | −32.5474 | − | 23.6471i | −1.12433 | − | 0.816874i | ||||
\(839\) | −22.7435 | + | 16.5241i | −0.785192 | + | 0.570475i | −0.906533 | − | 0.422136i | \(-0.861281\pi\) |
0.121341 | + | 0.992611i | \(0.461281\pi\) | |||||||
\(840\) | 1.06653 | + | 2.84988i | 0.0367988 | + | 0.0983302i | ||||
\(841\) | 14.6476 | + | 10.6421i | 0.505091 | + | 0.366970i | ||||
\(842\) | −10.7541 | − | 33.0977i | −0.370611 | − | 1.14062i | ||||
\(843\) | −33.3596 | −1.14897 | ||||||||
\(844\) | −18.0463 | − | 55.5409i | −0.621181 | − | 1.91180i | ||||
\(845\) | −22.7436 | + | 18.1026i | −0.782405 | + | 0.622748i | ||||
\(846\) | −5.84487 | + | 17.9887i | −0.200951 | + | 0.618463i | ||||
\(847\) | −3.39429 | + | 10.4466i | −0.116629 | + | 0.358948i | ||||
\(848\) | 10.0674 | − | 7.31439i | 0.345716 | − | 0.251177i | ||||
\(849\) | 22.9636 | 0.788108 | ||||||||
\(850\) | 23.2490 | − | 2.04853i | 0.797435 | − | 0.0702638i | ||||
\(851\) | 1.00833 | 0.0345653 | ||||||||
\(852\) | 11.0679 | − | 8.04129i | 0.379180 | − | 0.275490i | ||||
\(853\) | −7.98374 | + | 24.5714i | −0.273358 | + | 0.841310i | 0.716291 | + | 0.697802i | \(0.245838\pi\) |
−0.989649 | + | 0.143508i | \(0.954162\pi\) | |||||||
\(854\) | 6.06265 | − | 18.6589i | 0.207460 | − | 0.638495i | ||||
\(855\) | 3.57221 | − | 0.157074i | 0.122167 | − | 0.00537181i | ||||
\(856\) | −6.43029 | − | 19.7904i | −0.219783 | − | 0.676422i | ||||
\(857\) | −11.2285 | −0.383559 | −0.191780 | − | 0.981438i | \(-0.561426\pi\) | ||||
−0.191780 | + | 0.981438i | \(0.561426\pi\) | |||||||
\(858\) | 0.00111124 | + | 0.00342005i | 3.79372e−5 | + | 0.000116759i | ||||
\(859\) | −42.4969 | − | 30.8758i | −1.44998 | − | 1.05347i | −0.985837 | − | 0.167707i | \(-0.946364\pi\) |
−0.464139 | − | 0.885762i | \(-0.653636\pi\) | |||||||
\(860\) | 23.1692 | − | 1.01877i | 0.790064 | − | 0.0347399i | ||||
\(861\) | 3.54267 | − | 2.57390i | 0.120734 | − | 0.0877184i | ||||
\(862\) | 15.8735 | + | 11.5328i | 0.540653 | + | 0.392808i | ||||
\(863\) | −26.9706 | − | 19.5953i | −0.918091 | − | 0.667032i | 0.0249568 | − | 0.999689i | \(-0.492055\pi\) |
−0.943048 | + | 0.332656i | \(0.892055\pi\) | |||||||
\(864\) | −6.26880 | + | 4.55455i | −0.213269 | + | 0.154949i | ||||
\(865\) | 17.1872 | + | 11.3683i | 0.584384 | + | 0.386535i | ||||
\(866\) | −36.9282 | − | 26.8299i | −1.25487 | − | 0.911717i | ||||
\(867\) | −3.79979 | − | 11.6945i | −0.129048 | − | 0.397167i | ||||
\(868\) | 12.8530 | 0.436259 | ||||||||
\(869\) | −0.0653436 | − | 0.201107i | −0.00221663 | − | 0.00682208i | ||||
\(870\) | −5.56764 | − | 14.8773i | −0.188761 | − | 0.504387i | ||||
\(871\) | −0.0553357 | + | 0.170306i | −0.00187498 | + | 0.00577059i | ||||
\(872\) | −6.68205 | + | 20.5652i | −0.226283 | + | 0.696427i | ||||
\(873\) | 9.92970 | − | 7.21435i | 0.336069 | − | 0.244169i | ||||
\(874\) | −0.379544 | −0.0128383 | ||||||||
\(875\) | 9.83042 | + | 5.32567i | 0.332329 | + | 0.180041i | ||||
\(876\) | −14.6804 | −0.496004 | ||||||||
\(877\) | 6.63376 | − | 4.81971i | 0.224006 | − | 0.162750i | −0.470122 | − | 0.882601i | \(-0.655790\pi\) |
0.694128 | + | 0.719852i | \(0.255790\pi\) | |||||||
\(878\) | 5.67230 | − | 17.4576i | 0.191431 | − | 0.589164i | ||||
\(879\) | −5.60569 | + | 17.2525i | −0.189075 | + | 0.581914i | ||||
\(880\) | 0.230380 | + | 0.615598i | 0.00776611 | + | 0.0207518i | ||||
\(881\) | −4.59982 | − | 14.1568i | −0.154972 | − | 0.476954i | 0.843186 | − | 0.537622i | \(-0.180677\pi\) |
−0.998158 | + | 0.0606673i | \(0.980677\pi\) | |||||||
\(882\) | −2.15227 | −0.0724708 | ||||||||
\(883\) | 11.8582 | + | 36.4957i | 0.399059 | + | 1.22818i | 0.925755 | + | 0.378124i | \(0.123431\pi\) |
−0.526696 | + | 0.850054i | \(0.676569\pi\) | |||||||
\(884\) | −0.0613157 | − | 0.0445485i | −0.00206227 | − | 0.00149833i | ||||
\(885\) | 15.1995 | + | 10.0536i | 0.510925 | + | 0.337947i | ||||
\(886\) | 33.5082 | − | 24.3451i | 1.12573 | − | 0.817890i | ||||
\(887\) | −17.8071 | − | 12.9376i | −0.597903 | − | 0.434402i | 0.247231 | − | 0.968957i | \(-0.420479\pi\) |
−0.845134 | + | 0.534554i | \(0.820479\pi\) | |||||||
\(888\) | −10.0664 | − | 7.31365i | −0.337805 | − | 0.245430i | ||||
\(889\) | −11.8368 | + | 8.59991i | −0.396992 | + | 0.288432i | ||||
\(890\) | −0.851569 | + | 0.0374444i | −0.0285447 | + | 0.00125514i | ||||
\(891\) | −0.101817 | − | 0.0739744i | −0.00341100 | − | 0.00247824i | ||||
\(892\) | 2.10510 | + | 6.47882i | 0.0704838 | + | 0.216927i | ||||
\(893\) | −14.0529 | −0.470264 | ||||||||
\(894\) | 1.26848 | + | 3.90397i | 0.0424242 | + | 0.130568i | ||||
\(895\) | 19.7891 | − | 0.870146i | 0.661476 | − | 0.0290858i | ||||
\(896\) | 3.19605 | − | 9.83642i | 0.106772 | − | 0.328612i | ||||
\(897\) | 0.000452420 | − | 0.00139241i | 1.51059e−5 | − | 4.64911e-5i | ||||
\(898\) | −59.3644 | + | 43.1308i | −1.98102 | + | 1.43929i | ||||
\(899\) | −16.1167 | −0.537523 | ||||||||
\(900\) | 2.95273 | − | 12.8259i | 0.0984243 | − | 0.427530i | ||||
\(901\) | −11.5548 | −0.384947 | ||||||||
\(902\) | −0.959602 | + | 0.697191i | −0.0319512 | + | 0.0232139i | ||||
\(903\) | −1.21758 | + | 3.74732i | −0.0405185 | + | 0.124703i | ||||
\(904\) | −6.61665 | + | 20.3639i | −0.220066 | + | 0.677295i | ||||
\(905\) | −42.1633 | + | 33.5595i | −1.40156 | + | 1.11556i | ||||
\(906\) | 3.92904 | + | 12.0923i | 0.130534 | + | 0.401741i | ||||
\(907\) | 28.3503 | 0.941358 | 0.470679 | − | 0.882305i | \(-0.344009\pi\) | ||||
0.470679 | + | 0.882305i | \(0.344009\pi\) | |||||||
\(908\) | 3.43238 | + | 10.5638i | 0.113907 | + | 0.350571i | ||||
\(909\) | 8.25101 | + | 5.99471i | 0.273669 | + | 0.198832i | ||||
\(910\) | −0.0223941 | − | 0.0598392i | −0.000742356 | − | 0.00198365i | ||||
\(911\) | 21.8318 | − | 15.8618i | 0.723321 | − | 0.525524i | −0.164122 | − | 0.986440i | \(-0.552479\pi\) |
0.887444 | + | 0.460916i | \(0.152479\pi\) | |||||||
\(912\) | −3.02163 | − | 2.19534i | −0.100056 | − | 0.0726951i | ||||
\(913\) | −0.171986 | − | 0.124955i | −0.00569190 | − | 0.00413541i | ||||
\(914\) | 63.4748 | − | 46.1172i | 2.09956 | − | 1.52542i | ||||
\(915\) | −15.9480 | + | 12.6936i | −0.527224 | + | 0.419639i | ||||
\(916\) | 44.3632 | + | 32.2317i | 1.46580 | + | 1.06497i | ||||
\(917\) | −4.37429 | − | 13.4627i | −0.144452 | − | 0.444577i | ||||
\(918\) | 4.66782 | 0.154061 | ||||||||
\(919\) | 17.4398 | + | 53.6742i | 0.575286 | + | 1.77055i | 0.635205 | + | 0.772344i | \(0.280916\pi\) |
−0.0599189 | + | 0.998203i | \(0.519084\pi\) | |||||||
\(920\) | −0.0895769 | + | 0.323393i | −0.00295326 | + | 0.0106619i | ||||
\(921\) | 2.99696 | − | 9.22368i | 0.0987531 | − | 0.303931i | ||||
\(922\) | 8.41569 | − | 25.9008i | 0.277156 | − | 0.852998i | ||||
\(923\) | −0.0558212 | + | 0.0405565i | −0.00183738 | + | 0.00133493i | ||||
\(924\) | 0.331279 | 0.0108983 | ||||||||
\(925\) | −45.5410 | + | 4.01272i | −1.49738 | + | 0.131937i | ||||
\(926\) | 83.5874 | 2.74685 | ||||||||
\(927\) | 6.67743 | − | 4.85144i | 0.219316 | − | 0.159342i | ||||
\(928\) | −7.90339 | + | 24.3241i | −0.259442 | + | 0.798479i | ||||
\(929\) | 17.2497 | − | 53.0893i | 0.565946 | − | 1.74180i | −0.0991787 | − | 0.995070i | \(-0.531622\pi\) |
0.665125 | − | 0.746732i | \(-0.268378\pi\) | |||||||
\(930\) | −19.5998 | − | 12.9641i | −0.642702 | − | 0.425109i | ||||
\(931\) | −0.494144 | − | 1.52082i | −0.0161949 | − | 0.0498429i | ||||
\(932\) | 5.04806 | 0.165355 | ||||||||
\(933\) | 9.16111 | + | 28.1950i | 0.299921 | + | 0.923063i | ||||
\(934\) | 50.0792 | + | 36.3847i | 1.63864 | + | 1.19054i | ||||
\(935\) | 0.162921 | − | 0.588183i | 0.00532810 | − | 0.0192356i | ||||
\(936\) | −0.0146160 | + | 0.0106191i | −0.000477738 | + | 0.000347097i | ||||
\(937\) | 22.4308 | + | 16.2970i | 0.732784 | + | 0.532398i | 0.890443 | − | 0.455095i | \(-0.150395\pi\) |
−0.157659 | + | 0.987494i | \(0.550395\pi\) | |||||||
\(938\) | 23.4861 | + | 17.0637i | 0.766849 | + | 0.557149i | ||||
\(939\) | 7.46378 | − | 5.42275i | 0.243571 | − | 0.176965i | ||||
\(940\) | −13.8078 | + | 49.8494i | −0.450362 | + | 1.62591i | ||||
\(941\) | −43.2552 | − | 31.4267i | −1.41008 | − | 1.02448i | −0.993311 | − | 0.115468i | \(-0.963163\pi\) |
−0.416767 | − | 0.909013i | \(-0.636837\pi\) | |||||||
\(942\) | 2.32303 | + | 7.14954i | 0.0756883 | + | 0.232945i | ||||
\(943\) | 0.482910 | 0.0157257 | ||||||||
\(944\) | −5.88225 | − | 18.1037i | −0.191451 | − | 0.589225i | ||||
\(945\) | 1.86501 | + | 1.23359i | 0.0606687 | + | 0.0401287i | ||||
\(946\) | 0.329805 | − | 1.01504i | 0.0107229 | − | 0.0330016i | ||||
\(947\) | 12.4652 | − | 38.3639i | 0.405064 | − | 1.24666i | −0.515778 | − | 0.856722i | \(-0.672497\pi\) |
0.920842 | − | 0.389936i | \(-0.127503\pi\) | |||||||
\(948\) | 3.57805 | − | 2.59961i | 0.116210 | − | 0.0844313i | ||||
\(949\) | 0.0740410 | 0.00240347 | ||||||||
\(950\) | 17.1419 | − | 1.51042i | 0.556157 | − | 0.0490043i | ||||
\(951\) | −23.8123 | −0.772168 | ||||||||
\(952\) | −2.38769 | + | 1.73476i | −0.0773856 | + | 0.0562239i | ||||
\(953\) | 11.9158 | − | 36.6730i | 0.385990 | − | 1.18795i | −0.549770 | − | 0.835316i | \(-0.685285\pi\) |
0.935760 | − | 0.352638i | \(-0.114715\pi\) | |||||||
\(954\) | −3.54345 | + | 10.9056i | −0.114724 | + | 0.353083i | ||||
\(955\) | 4.17042 | − | 15.0561i | 0.134952 | − | 0.487205i | ||||
\(956\) | 3.25776 | + | 10.0264i | 0.105364 | + | 0.324276i | ||||
\(957\) | −0.415400 | −0.0134280 | ||||||||
\(958\) | 12.8881 | + | 39.6654i | 0.416395 | + | 1.28153i | ||||
\(959\) | 12.0667 | + | 8.76695i | 0.389653 | + | 0.283099i | ||||
\(960\) | −21.0047 | + | 16.7185i | −0.677925 | + | 0.539588i | ||||
\(961\) | 5.79078 | − | 4.20725i | 0.186799 | − | 0.135718i | ||||
\(962\) | 0.211365 | + | 0.153565i | 0.00681467 | + | 0.00495115i | ||||
\(963\) | −12.3709 | − | 8.98800i | −0.398647 | − | 0.289634i | ||||
\(964\) | −6.39433 | + | 4.64575i | −0.205947 | + | 0.149630i | ||||
\(965\) | 8.16406 | + | 21.8152i | 0.262810 | + | 0.702256i | ||||
\(966\) | −0.192021 | − | 0.139511i | −0.00617817 | − | 0.00448870i | ||||
\(967\) | −11.3076 | − | 34.8012i | −0.363628 | − | 1.11913i | −0.950836 | − | 0.309696i | \(-0.899773\pi\) |
0.587207 | − | 0.809437i | \(-0.300227\pi\) | |||||||
\(968\) | 14.9476 | 0.480434 | ||||||||
\(969\) | 1.07169 | + | 3.29833i | 0.0344278 | + | 0.105958i | ||||
\(970\) | 46.2166 | − | 36.7857i | 1.48393 | − | 1.18112i | ||||
\(971\) | −12.0174 | + | 36.9858i | −0.385657 | + | 1.18693i | 0.550346 | + | 0.834937i | \(0.314496\pi\) |
−0.936003 | + | 0.351993i | \(0.885504\pi\) | |||||||
\(972\) | 0.813418 | − | 2.50344i | 0.0260904 | − | 0.0802980i | ||||
\(973\) | −13.4880 | + | 9.79961i | −0.432406 | + | 0.314161i | ||||
\(974\) | −23.7009 | −0.759425 | ||||||||
\(975\) | −0.0148922 | + | 0.0646878i | −0.000476932 | + | 0.00207167i | ||||
\(976\) | 21.2910 | 0.681507 | ||||||||
\(977\) | −43.9133 | + | 31.9049i | −1.40491 | + | 1.02073i | −0.410874 | + | 0.911692i | \(0.634776\pi\) |
−0.994038 | + | 0.109036i | \(0.965224\pi\) | |||||||
\(978\) | 5.49913 | − | 16.9246i | 0.175843 | − | 0.541188i | ||||
\(979\) | −0.00688815 | + | 0.0211995i | −0.000220146 | + | 0.000677540i | ||||
\(980\) | −5.88027 | + | 0.258561i | −0.187838 | + | 0.00825944i | ||||
\(981\) | 4.91027 | + | 15.1123i | 0.156773 | + | 0.482497i | ||||
\(982\) | −14.4603 | −0.461445 | ||||||||
\(983\) | 9.49397 | + | 29.2194i | 0.302811 | + | 0.931956i | 0.980485 | + | 0.196594i | \(0.0629879\pi\) |
−0.677674 | + | 0.735362i | \(0.737012\pi\) | |||||||
\(984\) | −4.82098 | − | 3.50264i | −0.153687 | − | 0.111660i | ||||
\(985\) | −18.9726 | + | 0.834243i | −0.604516 | + | 0.0265812i | ||||
\(986\) | 12.4645 | − | 9.05600i | 0.396951 | − | 0.288402i | ||||
\(987\) | −7.10973 | − | 5.16552i | −0.226305 | − | 0.164420i | ||||
\(988\) | −0.0452092 | − | 0.0328464i | −0.00143830 | − | 0.00104498i | ||||
\(989\) | −0.351533 | + | 0.255403i | −0.0111781 | + | 0.00812136i | ||||
\(990\) | −0.505173 | − | 0.334142i | −0.0160555 | − | 0.0106197i | ||||
\(991\) | −22.5729 | − | 16.4002i | −0.717052 | − | 0.520968i | 0.168389 | − | 0.985721i | \(-0.446143\pi\) |
−0.885441 | + | 0.464752i | \(0.846143\pi\) | |||||||
\(992\) | 11.6918 | + | 35.9838i | 0.371216 | + | 1.14249i | ||||
\(993\) | −12.8644 | −0.408239 | ||||||||
\(994\) | 3.45665 | + | 10.6385i | 0.109638 | + | 0.337432i | ||||
\(995\) | 13.3350 | + | 35.6325i | 0.422748 | + | 1.12963i | ||||
\(996\) | 1.37400 | − | 4.22873i | 0.0435368 | − | 0.133992i | ||||
\(997\) | −5.31683 | + | 16.3635i | −0.168386 | + | 0.518238i | −0.999270 | − | 0.0382077i | \(-0.987835\pi\) |
0.830884 | + | 0.556445i | \(0.187835\pi\) | |||||||
\(998\) | 11.0915 | − | 8.05844i | 0.351095 | − | 0.255085i | ||||
\(999\) | −9.14348 | −0.289287 |
(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 | 525.2.n.c.211.6 | ✓ | 24 | |
25.16 | even | 5 | inner | 525.2.n.c.316.6 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.n.c.211.6 | ✓ | 24 | 1.1 | even | 1 | trivial | |
525.2.n.c.316.6 | yes | 24 | 25.16 | even | 5 | inner |