Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(76,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.by (of order \(12\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 202.3 | ||
Character | \(\chi\) | \(=\) | 273.202 |
Dual form | 273.2.by.d.223.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38083 | + | 0.369991i | −0.976392 | + | 0.261623i | −0.711524 | − | 0.702661i | \(-0.751995\pi\) |
−0.264867 | + | 0.964285i | \(0.585328\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | 0.0377371 | − | 0.0217876i | 0.0188686 | − | 0.0108938i | ||||
\(5\) | 0.512287 | − | 0.512287i | 0.229102 | − | 0.229102i | −0.583216 | − | 0.812317i | \(-0.698206\pi\) |
0.812317 | + | 0.583216i | \(0.198206\pi\) | |||||||
\(6\) | −1.38083 | − | 0.369991i | −0.563720 | − | 0.151048i | ||||
\(7\) | −2.41005 | + | 1.09162i | −0.910915 | + | 0.412595i | ||||
\(8\) | 1.97762 | − | 1.97762i | 0.699195 | − | 0.699195i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −0.517838 | + | 0.896921i | −0.163755 | + | 0.283631i | ||||
\(11\) | 1.38992 | + | 5.18727i | 0.419078 | + | 1.56402i | 0.776525 | + | 0.630086i | \(0.216981\pi\) |
−0.357447 | + | 0.933933i | \(0.616353\pi\) | |||||||
\(12\) | 0.0435751 | 0.0125790 | ||||||||
\(13\) | −0.0545462 | + | 3.60514i | −0.0151284 | + | 0.999886i | ||||
\(14\) | 2.92397 | − | 2.39904i | 0.781465 | − | 0.641171i | ||||
\(15\) | 0.699797 | − | 0.187510i | 0.180687 | − | 0.0484149i | ||||
\(16\) | −2.04263 | + | 3.53793i | −0.510656 | + | 0.884483i | ||||
\(17\) | −1.31681 | − | 2.28077i | −0.319372 | − | 0.553169i | 0.660985 | − | 0.750399i | \(-0.270139\pi\) |
−0.980357 | + | 0.197230i | \(0.936805\pi\) | |||||||
\(18\) | −1.01084 | − | 1.01084i | −0.238256 | − | 0.238256i | ||||
\(19\) | −5.26328 | − | 1.41029i | −1.20748 | − | 0.323543i | −0.401707 | − | 0.915768i | \(-0.631583\pi\) |
−0.805773 | + | 0.592225i | \(0.798250\pi\) | |||||||
\(20\) | 0.00817077 | − | 0.0304937i | 0.00182704 | − | 0.00681861i | ||||
\(21\) | −2.63298 | − | 0.259652i | −0.574563 | − | 0.0566608i | ||||
\(22\) | −3.83849 | − | 6.64846i | −0.818368 | − | 1.41746i | ||||
\(23\) | 5.51236 | + | 3.18256i | 1.14941 | + | 0.663610i | 0.948742 | − | 0.316051i | \(-0.102357\pi\) |
0.200663 | + | 0.979660i | \(0.435690\pi\) | |||||||
\(24\) | 2.70148 | − | 0.723860i | 0.551438 | − | 0.147757i | ||||
\(25\) | 4.47512i | 0.895025i | ||||||||
\(26\) | −1.25855 | − | 4.99825i | −0.246822 | − | 0.980238i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −0.0671647 | + | 0.0937039i | −0.0126929 | + | 0.0177084i | ||||
\(29\) | 0.300703 | − | 0.520832i | 0.0558391 | − | 0.0967161i | −0.836755 | − | 0.547578i | \(-0.815550\pi\) |
0.892594 | + | 0.450862i | \(0.148883\pi\) | |||||||
\(30\) | −0.896921 | + | 0.517838i | −0.163755 | + | 0.0945438i | ||||
\(31\) | −6.22737 | + | 6.22737i | −1.11847 | + | 1.11847i | −0.126503 | + | 0.991966i | \(0.540375\pi\) |
−0.991966 | + | 0.126503i | \(0.959625\pi\) | |||||||
\(32\) | 0.0637871 | − | 0.238057i | 0.0112761 | − | 0.0420829i | ||||
\(33\) | −1.38992 | + | 5.18727i | −0.241955 | + | 0.902987i | ||||
\(34\) | 2.66215 | + | 2.66215i | 0.456554 | + | 0.456554i | ||||
\(35\) | −0.675414 | + | 1.79386i | −0.114166 | + | 0.303218i | ||||
\(36\) | 0.0377371 | + | 0.0217876i | 0.00628952 | + | 0.00363126i | ||||
\(37\) | 0.172749 | + | 0.644708i | 0.0283998 | + | 0.105989i | 0.978671 | − | 0.205435i | \(-0.0658608\pi\) |
−0.950271 | + | 0.311424i | \(0.899194\pi\) | |||||||
\(38\) | 7.78948 | 1.26362 | ||||||||
\(39\) | −1.84981 | + | 3.09487i | −0.296206 | + | 0.495576i | ||||
\(40\) | − | 2.02622i | − | 0.320374i | ||||||
\(41\) | −2.11401 | − | 7.88960i | −0.330153 | − | 1.23215i | −0.909029 | − | 0.416733i | \(-0.863175\pi\) |
0.578876 | − | 0.815416i | \(-0.303492\pi\) | |||||||
\(42\) | 3.73176 | − | 0.615645i | 0.575823 | − | 0.0949960i | ||||
\(43\) | 4.10340 | − | 2.36910i | 0.625762 | − | 0.361284i | −0.153347 | − | 0.988172i | \(-0.549005\pi\) |
0.779109 | + | 0.626888i | \(0.215672\pi\) | |||||||
\(44\) | 0.165470 | + | 0.165470i | 0.0249455 | + | 0.0249455i | ||||
\(45\) | 0.699797 | + | 0.187510i | 0.104320 | + | 0.0279524i | ||||
\(46\) | −8.78913 | − | 2.35504i | −1.29589 | − | 0.347232i | ||||
\(47\) | 4.25821 | + | 4.25821i | 0.621123 | + | 0.621123i | 0.945819 | − | 0.324695i | \(-0.105262\pi\) |
−0.324695 | + | 0.945819i | \(0.605262\pi\) | |||||||
\(48\) | −3.53793 | + | 2.04263i | −0.510656 | + | 0.294828i | ||||
\(49\) | 4.61671 | − | 5.26174i | 0.659530 | − | 0.751678i | ||||
\(50\) | −1.65576 | − | 6.17937i | −0.234159 | − | 0.873895i | ||||
\(51\) | − | 2.63361i | − | 0.368779i | ||||||
\(52\) | 0.0764887 | + | 0.137236i | 0.0106071 | + | 0.0190312i | ||||
\(53\) | 0.282101 | 0.0387495 | 0.0193748 | − | 0.999812i | \(-0.493832\pi\) | ||||
0.0193748 | + | 0.999812i | \(0.493832\pi\) | |||||||
\(54\) | −0.369991 | − | 1.38083i | −0.0503494 | − | 0.187907i | ||||
\(55\) | 3.36941 | + | 1.94533i | 0.454331 | + | 0.262308i | ||||
\(56\) | −2.60736 | + | 6.92500i | −0.348423 | + | 0.925392i | ||||
\(57\) | −3.85299 | − | 3.85299i | −0.510341 | − | 0.510341i | ||||
\(58\) | −0.222515 | + | 0.830436i | −0.0292176 | + | 0.109042i | ||||
\(59\) | −1.21690 | + | 4.54153i | −0.158427 | + | 0.591257i | 0.840361 | + | 0.542028i | \(0.182343\pi\) |
−0.998787 | + | 0.0492295i | \(0.984323\pi\) | |||||||
\(60\) | 0.0223230 | − | 0.0223230i | 0.00288188 | − | 0.00288188i | ||||
\(61\) | 13.0884 | − | 7.55656i | 1.67579 | − | 0.967519i | 0.711497 | − | 0.702690i | \(-0.248018\pi\) |
0.964295 | − | 0.264829i | \(-0.0853156\pi\) | |||||||
\(62\) | 6.29485 | − | 10.9030i | 0.799446 | − | 1.38468i | ||||
\(63\) | −2.15040 | − | 1.54136i | −0.270925 | − | 0.194193i | ||||
\(64\) | − | 7.81819i | − | 0.977273i | ||||||
\(65\) | 1.81892 | + | 1.87481i | 0.225610 | + | 0.232541i | ||||
\(66\) | − | 7.67698i | − | 0.944970i | ||||||
\(67\) | 4.48192 | − | 1.20093i | 0.547553 | − | 0.146716i | 0.0255714 | − | 0.999673i | \(-0.491859\pi\) |
0.521982 | + | 0.852957i | \(0.325193\pi\) | |||||||
\(68\) | −0.0993850 | − | 0.0573799i | −0.0120522 | − | 0.00695834i | ||||
\(69\) | 3.18256 | + | 5.51236i | 0.383135 | + | 0.663610i | ||||
\(70\) | 0.268916 | − | 2.72691i | 0.0321416 | − | 0.325928i | ||||
\(71\) | 4.11194 | − | 15.3460i | 0.487998 | − | 1.82123i | −0.0781668 | − | 0.996940i | \(-0.524907\pi\) |
0.566165 | − | 0.824292i | \(-0.308427\pi\) | |||||||
\(72\) | 2.70148 | + | 0.723860i | 0.318373 | + | 0.0853077i | ||||
\(73\) | 3.04327 | + | 3.04327i | 0.356188 | + | 0.356188i | 0.862406 | − | 0.506218i | \(-0.168957\pi\) |
−0.506218 | + | 0.862406i | \(0.668957\pi\) | |||||||
\(74\) | −0.477073 | − | 0.826314i | −0.0554586 | − | 0.0960571i | ||||
\(75\) | −2.23756 | + | 3.87557i | −0.258371 | + | 0.447512i | ||||
\(76\) | −0.229348 | + | 0.0614536i | −0.0263080 | + | 0.00704922i | ||||
\(77\) | −9.01234 | − | 10.9843i | −1.02705 | − | 1.25178i | ||||
\(78\) | 1.40919 | − | 4.95789i | 0.159559 | − | 0.561370i | ||||
\(79\) | 4.77147 | 0.536832 | 0.268416 | − | 0.963303i | \(-0.413500\pi\) | ||||
0.268416 | + | 0.963303i | \(0.413500\pi\) | |||||||
\(80\) | 0.766026 | + | 2.85885i | 0.0856443 | + | 0.319629i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 5.83817 | + | 10.1120i | 0.644718 | + | 1.11668i | ||||
\(83\) | 2.42351 | − | 2.42351i | 0.266015 | − | 0.266015i | −0.561477 | − | 0.827492i | \(-0.689767\pi\) |
0.827492 | + | 0.561477i | \(0.189767\pi\) | |||||||
\(84\) | −0.105018 | + | 0.0475676i | −0.0114584 | + | 0.00519005i | ||||
\(85\) | −1.84299 | − | 0.493829i | −0.199901 | − | 0.0535632i | ||||
\(86\) | −4.78954 | + | 4.78954i | −0.516469 | + | 0.516469i | ||||
\(87\) | 0.520832 | − | 0.300703i | 0.0558391 | − | 0.0322387i | ||||
\(88\) | 13.0072 | + | 7.50971i | 1.38657 | + | 0.800538i | ||||
\(89\) | −5.75969 | + | 1.54330i | −0.610526 | + | 0.163590i | −0.550817 | − | 0.834626i | \(-0.685684\pi\) |
−0.0597085 | + | 0.998216i | \(0.519017\pi\) | |||||||
\(90\) | −1.03568 | −0.109170 | ||||||||
\(91\) | −3.80400 | − | 8.74812i | −0.398767 | − | 0.917052i | ||||
\(92\) | 0.277361 | 0.0289169 | ||||||||
\(93\) | −8.50675 | + | 2.27938i | −0.882109 | + | 0.236360i | ||||
\(94\) | −7.45535 | − | 4.30435i | −0.768960 | − | 0.443959i | ||||
\(95\) | −3.41879 | + | 1.97384i | −0.350760 | + | 0.202511i | ||||
\(96\) | 0.174270 | − | 0.174270i | 0.0177863 | − | 0.0177863i | ||||
\(97\) | −15.7347 | − | 4.21610i | −1.59762 | − | 0.428080i | −0.653296 | − | 0.757103i | \(-0.726614\pi\) |
−0.944322 | + | 0.329022i | \(0.893281\pi\) | |||||||
\(98\) | −4.42808 | + | 8.97370i | −0.447304 | + | 0.906481i | ||||
\(99\) | −3.79734 | + | 3.79734i | −0.381647 | + | 0.381647i | ||||
\(100\) | 0.0975020 | + | 0.168878i | 0.00975020 | + | 0.0168878i | ||||
\(101\) | 8.39661 | − | 14.5434i | 0.835494 | − | 1.44712i | −0.0581328 | − | 0.998309i | \(-0.518515\pi\) |
0.893627 | − | 0.448810i | \(-0.148152\pi\) | |||||||
\(102\) | 0.974413 | + | 3.63656i | 0.0964813 | + | 0.360073i | ||||
\(103\) | 0.962454 | 0.0948334 | 0.0474167 | − | 0.998875i | \(-0.484901\pi\) | ||||
0.0474167 | + | 0.998875i | \(0.484901\pi\) | |||||||
\(104\) | 7.02173 | + | 7.23748i | 0.688538 | + | 0.709693i | ||||
\(105\) | −1.48186 | + | 1.21582i | −0.144615 | + | 0.118652i | ||||
\(106\) | −0.389532 | + | 0.104375i | −0.0378347 | + | 0.0101378i | ||||
\(107\) | −5.96703 | + | 10.3352i | −0.576854 | + | 0.999141i | 0.418983 | + | 0.907994i | \(0.362387\pi\) |
−0.995837 | + | 0.0911468i | \(0.970947\pi\) | |||||||
\(108\) | 0.0217876 | + | 0.0377371i | 0.00209651 | + | 0.00363126i | ||||
\(109\) | 3.42240 | + | 3.42240i | 0.327807 | + | 0.327807i | 0.851752 | − | 0.523945i | \(-0.175540\pi\) |
−0.523945 | + | 0.851752i | \(0.675540\pi\) | |||||||
\(110\) | −5.37233 | − | 1.43951i | −0.512231 | − | 0.137252i | ||||
\(111\) | −0.172749 | + | 0.644708i | −0.0163966 | + | 0.0611930i | ||||
\(112\) | 1.06075 | − | 10.7564i | 0.100231 | − | 1.01638i | ||||
\(113\) | 6.78443 | + | 11.7510i | 0.638226 | + | 1.10544i | 0.985822 | + | 0.167795i | \(0.0536647\pi\) |
−0.347596 | + | 0.937644i | \(0.613002\pi\) | |||||||
\(114\) | 6.74588 | + | 3.89474i | 0.631810 | + | 0.364776i | ||||
\(115\) | 4.45429 | − | 1.19352i | 0.415365 | − | 0.111297i | ||||
\(116\) | − | 0.0262063i | − | 0.00243319i | ||||||
\(117\) | −3.14941 | + | 1.75533i | −0.291163 | + | 0.162280i | ||||
\(118\) | − | 6.72131i | − | 0.618747i | ||||||
\(119\) | 5.66332 | + | 4.05933i | 0.519156 | + | 0.372118i | ||||
\(120\) | 1.01311 | − | 1.75476i | 0.0924839 | − | 0.160187i | ||||
\(121\) | −15.4496 | + | 8.91981i | −1.40451 | + | 0.810892i | ||||
\(122\) | −15.2769 | + | 15.2769i | −1.38310 | + | 1.38310i | ||||
\(123\) | 2.11401 | − | 7.88960i | 0.190614 | − | 0.711381i | ||||
\(124\) | −0.0993241 | + | 0.370682i | −0.00891956 | + | 0.0332883i | ||||
\(125\) | 4.85398 | + | 4.85398i | 0.434153 | + | 0.434153i | ||||
\(126\) | 3.53962 | + | 1.33271i | 0.315334 | + | 0.118728i | ||||
\(127\) | 11.3554 | + | 6.55606i | 1.00763 | + | 0.581757i | 0.910497 | − | 0.413515i | \(-0.135699\pi\) |
0.0971344 | + | 0.995271i | \(0.469032\pi\) | |||||||
\(128\) | 3.02024 | + | 11.2717i | 0.266954 | + | 0.996285i | ||||
\(129\) | 4.73820 | 0.417175 | ||||||||
\(130\) | −3.20528 | − | 1.91580i | −0.281122 | − | 0.168027i | ||||
\(131\) | − | 6.96325i | − | 0.608382i | −0.952611 | − | 0.304191i | \(-0.901614\pi\) | ||
0.952611 | − | 0.304191i | \(-0.0983861\pi\) | |||||||
\(132\) | 0.0605661 | + | 0.226036i | 0.00527160 | + | 0.0196739i | ||||
\(133\) | 14.2243 | − | 2.34665i | 1.23340 | − | 0.203480i | ||||
\(134\) | −5.74442 | + | 3.31654i | −0.496242 | + | 0.286506i | ||||
\(135\) | 0.512287 | + | 0.512287i | 0.0440906 | + | 0.0440906i | ||||
\(136\) | −7.11466 | − | 1.90637i | −0.610077 | − | 0.163470i | ||||
\(137\) | −0.989826 | − | 0.265223i | −0.0845665 | − | 0.0226595i | 0.216288 | − | 0.976330i | \(-0.430605\pi\) |
−0.300854 | + | 0.953670i | \(0.597272\pi\) | |||||||
\(138\) | −6.43409 | − | 6.43409i | −0.547706 | − | 0.547706i | ||||
\(139\) | −13.5680 | + | 7.83346i | −1.15082 | + | 0.664426i | −0.949087 | − | 0.315015i | \(-0.897990\pi\) |
−0.201732 | + | 0.979441i | \(0.564657\pi\) | |||||||
\(140\) | 0.0135957 | + | 0.0824109i | 0.00114905 | + | 0.00696499i | ||||
\(141\) | 1.55861 | + | 5.81682i | 0.131259 | + | 0.489865i | ||||
\(142\) | 22.7115i | 1.90591i | ||||||||
\(143\) | −18.7766 | + | 4.72792i | −1.57018 | + | 0.395369i | ||||
\(144\) | −4.08525 | −0.340438 | ||||||||
\(145\) | −0.112770 | − | 0.420862i | −0.00936500 | − | 0.0349507i | ||||
\(146\) | −5.32821 | − | 3.07624i | −0.440966 | − | 0.254592i | ||||
\(147\) | 6.62906 | − | 2.24845i | 0.546756 | − | 0.185449i | ||||
\(148\) | 0.0205657 | + | 0.0205657i | 0.00169049 | + | 0.00169049i | ||||
\(149\) | 3.05630 | − | 11.4063i | 0.250382 | − | 0.934438i | −0.720220 | − | 0.693746i | \(-0.755959\pi\) |
0.970602 | − | 0.240692i | \(-0.0773743\pi\) | |||||||
\(150\) | 1.65576 | − | 6.17937i | 0.135192 | − | 0.504543i | ||||
\(151\) | −8.50103 | + | 8.50103i | −0.691804 | + | 0.691804i | −0.962629 | − | 0.270825i | \(-0.912704\pi\) |
0.270825 | + | 0.962629i | \(0.412704\pi\) | |||||||
\(152\) | −13.1978 | + | 7.61976i | −1.07048 | + | 0.618044i | ||||
\(153\) | 1.31681 | − | 2.28077i | 0.106457 | − | 0.184390i | ||||
\(154\) | 16.5086 | + | 11.8329i | 1.33030 | + | 0.953526i | ||||
\(155\) | 6.38040i | 0.512486i | ||||||||
\(156\) | −0.00237685 | + | 0.157094i | −0.000190301 | + | 0.0125776i | ||||
\(157\) | 0.627679i | 0.0500942i | 0.999686 | + | 0.0250471i | \(0.00797357\pi\) | ||||
−0.999686 | + | 0.0250471i | \(0.992026\pi\) | |||||||
\(158\) | −6.58857 | + | 1.76540i | −0.524158 | + | 0.140448i | ||||
\(159\) | 0.244307 | + | 0.141050i | 0.0193748 | + | 0.0111860i | ||||
\(160\) | −0.0892761 | − | 0.154631i | −0.00705789 | − | 0.0122246i | ||||
\(161\) | −16.7592 | − | 1.65272i | −1.32081 | − | 0.130252i | ||||
\(162\) | 0.369991 | − | 1.38083i | 0.0290693 | − | 0.108488i | ||||
\(163\) | 12.2260 | + | 3.27594i | 0.957613 | + | 0.256592i | 0.703590 | − | 0.710607i | \(-0.251579\pi\) |
0.254023 | + | 0.967198i | \(0.418246\pi\) | |||||||
\(164\) | −0.251672 | − | 0.251672i | −0.0196523 | − | 0.0196523i | ||||
\(165\) | 1.94533 | + | 3.36941i | 0.151444 | + | 0.262308i | ||||
\(166\) | −2.44977 | + | 4.24312i | −0.190139 | + | 0.329330i | ||||
\(167\) | 14.4241 | − | 3.86492i | 1.11617 | − | 0.299076i | 0.346837 | − | 0.937926i | \(-0.387256\pi\) |
0.769332 | + | 0.638849i | \(0.220589\pi\) | |||||||
\(168\) | −5.72053 | + | 4.69355i | −0.441349 | + | 0.362115i | ||||
\(169\) | −12.9940 | − | 0.393293i | −0.999542 | − | 0.0302533i | ||||
\(170\) | 2.72757 | 0.209195 | ||||||||
\(171\) | −1.41029 | − | 5.26328i | −0.107848 | − | 0.402493i | ||||
\(172\) | 0.103234 | − | 0.178806i | 0.00787150 | − | 0.0136338i | ||||
\(173\) | 6.31043 | + | 10.9300i | 0.479773 | + | 0.830991i | 0.999731 | − | 0.0232010i | \(-0.00738576\pi\) |
−0.519958 | + | 0.854192i | \(0.674052\pi\) | |||||||
\(174\) | −0.607922 | + | 0.607922i | −0.0460864 | + | 0.0460864i | ||||
\(175\) | −4.88515 | − | 10.7853i | −0.369283 | − | 0.815291i | ||||
\(176\) | −21.1913 | − | 5.67819i | −1.59735 | − | 0.428010i | ||||
\(177\) | −3.32463 | + | 3.32463i | −0.249895 | + | 0.249895i | ||||
\(178\) | 7.38212 | − | 4.26207i | 0.553313 | − | 0.319456i | ||||
\(179\) | −9.45522 | − | 5.45897i | −0.706716 | − | 0.408023i | 0.103128 | − | 0.994668i | \(-0.467115\pi\) |
−0.809844 | + | 0.586645i | \(0.800448\pi\) | |||||||
\(180\) | 0.0304937 | − | 0.00817077i | 0.00227287 | − | 0.000609013i | ||||
\(181\) | −5.94105 | −0.441595 | −0.220797 | − | 0.975320i | \(-0.570866\pi\) | ||||
−0.220797 | + | 0.975320i | \(0.570866\pi\) | |||||||
\(182\) | 8.48939 | + | 10.6722i | 0.629275 | + | 0.791075i | ||||
\(183\) | 15.1131 | 1.11719 | ||||||||
\(184\) | 17.1953 | − | 4.60746i | 1.26765 | − | 0.339666i | ||||
\(185\) | 0.418773 | + | 0.241779i | 0.0307888 | + | 0.0177759i | ||||
\(186\) | 10.9030 | − | 6.29485i | 0.799446 | − | 0.461560i | ||||
\(187\) | 10.0007 | − | 10.0007i | 0.731326 | − | 0.731326i | ||||
\(188\) | 0.253469 | + | 0.0679167i | 0.0184861 | + | 0.00495333i | ||||
\(189\) | −1.09162 | − | 2.41005i | −0.0794040 | − | 0.175306i | ||||
\(190\) | 3.99045 | − | 3.99045i | 0.289498 | − | 0.289498i | ||||
\(191\) | −0.805155 | − | 1.39457i | −0.0582590 | − | 0.100907i | 0.835425 | − | 0.549604i | \(-0.185222\pi\) |
−0.893684 | + | 0.448697i | \(0.851888\pi\) | |||||||
\(192\) | 3.90909 | − | 6.77075i | 0.282115 | − | 0.488637i | ||||
\(193\) | −6.36607 | − | 23.7585i | −0.458240 | − | 1.71017i | −0.678384 | − | 0.734707i | \(-0.737319\pi\) |
0.220144 | − | 0.975467i | \(-0.429347\pi\) | |||||||
\(194\) | 23.2868 | 1.67190 | ||||||||
\(195\) | 0.637829 | + | 2.53309i | 0.0456759 | + | 0.181399i | ||||
\(196\) | 0.0595811 | − | 0.299150i | 0.00425579 | − | 0.0213679i | ||||
\(197\) | −4.77159 | + | 1.27854i | −0.339962 | + | 0.0910925i | −0.424761 | − | 0.905306i | \(-0.639642\pi\) |
0.0847991 | + | 0.996398i | \(0.472975\pi\) | |||||||
\(198\) | 3.83849 | − | 6.64846i | 0.272789 | − | 0.472485i | ||||
\(199\) | −2.30866 | − | 3.99871i | −0.163656 | − | 0.283461i | 0.772521 | − | 0.634989i | \(-0.218995\pi\) |
−0.936177 | + | 0.351528i | \(0.885662\pi\) | |||||||
\(200\) | 8.85011 | + | 8.85011i | 0.625797 | + | 0.625797i | ||||
\(201\) | 4.48192 | + | 1.20093i | 0.316130 | + | 0.0847068i | ||||
\(202\) | −6.21335 | + | 23.1885i | −0.437170 | + | 1.63154i | ||||
\(203\) | −0.156156 | + | 1.58349i | −0.0109600 | + | 0.111139i | ||||
\(204\) | −0.0573799 | − | 0.0993850i | −0.00401740 | − | 0.00695834i | ||||
\(205\) | −5.12472 | − | 2.95876i | −0.357926 | − | 0.206649i | ||||
\(206\) | −1.32898 | + | 0.356100i | −0.0925946 | + | 0.0248106i | ||||
\(207\) | 6.36512i | 0.442406i | ||||||||
\(208\) | −12.6433 | − | 7.55693i | −0.876656 | − | 0.523979i | ||||
\(209\) | − | 29.2623i | − | 2.02411i | ||||||
\(210\) | 1.59634 | − | 2.22712i | 0.110158 | − | 0.153686i | ||||
\(211\) | −3.39083 | + | 5.87308i | −0.233434 | + | 0.404320i | −0.958816 | − | 0.284026i | \(-0.908330\pi\) |
0.725382 | + | 0.688346i | \(0.241663\pi\) | |||||||
\(212\) | 0.0106457 | − | 0.00614629i | 0.000731149 | − | 0.000422129i | ||||
\(213\) | 11.2340 | − | 11.2340i | 0.769743 | − | 0.769743i | ||||
\(214\) | 4.41550 | − | 16.4789i | 0.301837 | − | 1.12647i | ||||
\(215\) | 0.888460 | − | 3.31578i | 0.0605924 | − | 0.226134i | ||||
\(216\) | 1.97762 | + | 1.97762i | 0.134560 | + | 0.134560i | ||||
\(217\) | 8.21035 | − | 21.8062i | 0.557355 | − | 1.48030i | ||||
\(218\) | −5.99200 | − | 3.45948i | −0.405830 | − | 0.234306i | ||||
\(219\) | 1.11391 | + | 4.15718i | 0.0752713 | + | 0.280916i | ||||
\(220\) | 0.169536 | 0.0114301 | ||||||||
\(221\) | 8.29434 | − | 4.62286i | 0.557937 | − | 0.310967i | ||||
\(222\) | − | 0.954146i | − | 0.0640381i | ||||||
\(223\) | 5.00651 | + | 18.6845i | 0.335260 | + | 1.25121i | 0.903587 | + | 0.428406i | \(0.140925\pi\) |
−0.568326 | + | 0.822803i | \(0.692409\pi\) | |||||||
\(224\) | 0.106138 | + | 0.643361i | 0.00709165 | + | 0.0429864i | ||||
\(225\) | −3.87557 | + | 2.23756i | −0.258371 | + | 0.149171i | ||||
\(226\) | −13.7159 | − | 13.7159i | −0.912367 | − | 0.912367i | ||||
\(227\) | 11.5655 | + | 3.09897i | 0.767631 | + | 0.205686i | 0.621324 | − | 0.783553i | \(-0.286595\pi\) |
0.146306 | + | 0.989239i | \(0.453262\pi\) | |||||||
\(228\) | −0.229348 | − | 0.0614536i | −0.0151889 | − | 0.00406987i | ||||
\(229\) | −0.755536 | − | 0.755536i | −0.0499272 | − | 0.0499272i | 0.681702 | − | 0.731630i | \(-0.261240\pi\) |
−0.731630 | + | 0.681702i | \(0.761240\pi\) | |||||||
\(230\) | −5.70901 | + | 3.29610i | −0.376441 | + | 0.217338i | ||||
\(231\) | −2.31276 | − | 14.0189i | −0.152168 | − | 0.922374i | ||||
\(232\) | −0.435333 | − | 1.62469i | −0.0285810 | − | 0.106666i | ||||
\(233\) | − | 16.2619i | − | 1.06535i | −0.846318 | − | 0.532677i | \(-0.821186\pi\) | ||
0.846318 | − | 0.532677i | \(-0.178814\pi\) | |||||||
\(234\) | 3.69934 | − | 3.58906i | 0.241833 | − | 0.234624i | ||||
\(235\) | 4.36285 | 0.284601 | ||||||||
\(236\) | 0.0530266 | + | 0.197898i | 0.00345173 | + | 0.0128820i | ||||
\(237\) | 4.13221 | + | 2.38573i | 0.268416 | + | 0.154970i | ||||
\(238\) | −9.32198 | − | 3.50985i | −0.604254 | − | 0.227510i | ||||
\(239\) | 15.1795 | + | 15.1795i | 0.981878 | + | 0.981878i | 0.999839 | − | 0.0179604i | \(-0.00571728\pi\) |
−0.0179604 | + | 0.999839i | \(0.505717\pi\) | |||||||
\(240\) | −0.766026 | + | 2.85885i | −0.0494468 | + | 0.184538i | ||||
\(241\) | −3.31373 | + | 12.3670i | −0.213456 | + | 0.796630i | 0.773248 | + | 0.634104i | \(0.218631\pi\) |
−0.986704 | + | 0.162526i | \(0.948036\pi\) | |||||||
\(242\) | 18.0329 | − | 18.0329i | 1.15920 | − | 1.15920i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 0.329278 | − | 0.570326i | 0.0210799 | − | 0.0365114i | ||||
\(245\) | −0.330441 | − | 5.06061i | −0.0211111 | − | 0.323310i | ||||
\(246\) | 11.6763i | 0.744456i | ||||||||
\(247\) | 5.37139 | − | 18.8979i | 0.341773 | − | 1.20245i | ||||
\(248\) | 24.6308i | 1.56406i | ||||||||
\(249\) | 3.31057 | − | 0.887065i | 0.209799 | − | 0.0562155i | ||||
\(250\) | −8.49844 | − | 4.90658i | −0.537489 | − | 0.310319i | ||||
\(251\) | −3.61972 | − | 6.26954i | −0.228475 | − | 0.395730i | 0.728881 | − | 0.684640i | \(-0.240041\pi\) |
−0.957356 | + | 0.288910i | \(0.906707\pi\) | |||||||
\(252\) | −0.114732 | − | 0.0113144i | −0.00722746 | − | 0.000712739i | ||||
\(253\) | −8.84703 | + | 33.0176i | −0.556208 | + | 2.07580i | ||||
\(254\) | −18.1056 | − | 4.85137i | −1.13604 | − | 0.304402i | ||||
\(255\) | −1.34917 | − | 1.34917i | −0.0844880 | − | 0.0844880i | ||||
\(256\) | −0.522655 | − | 0.905265i | −0.0326659 | − | 0.0565790i | ||||
\(257\) | −1.90293 | + | 3.29597i | −0.118701 | + | 0.205597i | −0.919253 | − | 0.393667i | \(-0.871206\pi\) |
0.800552 | + | 0.599263i | \(0.204540\pi\) | |||||||
\(258\) | −6.54263 | + | 1.75309i | −0.407326 | + | 0.109143i | ||||
\(259\) | −1.12011 | − | 1.36520i | −0.0696005 | − | 0.0848296i | ||||
\(260\) | 0.109488 | + | 0.0311201i | 0.00679019 | + | 0.00192999i | ||||
\(261\) | 0.601405 | 0.0372261 | ||||||||
\(262\) | 2.57634 | + | 9.61504i | 0.159167 | + | 0.594019i | ||||
\(263\) | 2.01647 | − | 3.49263i | 0.124341 | − | 0.215365i | −0.797134 | − | 0.603802i | \(-0.793652\pi\) |
0.921475 | + | 0.388437i | \(0.126985\pi\) | |||||||
\(264\) | 7.50971 | + | 13.0072i | 0.462191 | + | 0.800538i | ||||
\(265\) | 0.144517 | − | 0.144517i | 0.00887759 | − | 0.00887759i | ||||
\(266\) | −18.7731 | + | 8.50318i | −1.15105 | + | 0.521363i | ||||
\(267\) | −5.75969 | − | 1.54330i | −0.352487 | − | 0.0944486i | ||||
\(268\) | 0.142970 | − | 0.142970i | 0.00873325 | − | 0.00873325i | ||||
\(269\) | 6.03395 | − | 3.48370i | 0.367897 | − | 0.212405i | −0.304643 | − | 0.952467i | \(-0.598537\pi\) |
0.672539 | + | 0.740062i | \(0.265204\pi\) | |||||||
\(270\) | −0.896921 | − | 0.517838i | −0.0545849 | − | 0.0315146i | ||||
\(271\) | 8.12317 | − | 2.17660i | 0.493447 | − | 0.132219i | −0.00350987 | − | 0.999994i | \(-0.501117\pi\) |
0.496957 | + | 0.867775i | \(0.334451\pi\) | |||||||
\(272\) | 10.7590 | 0.652358 | ||||||||
\(273\) | 1.07970 | − | 9.47809i | 0.0653465 | − | 0.573640i | ||||
\(274\) | 1.46491 | 0.0884983 | ||||||||
\(275\) | −23.2137 | + | 6.22008i | −1.39984 | + | 0.375085i | ||||
\(276\) | 0.240202 | + | 0.138680i | 0.0144584 | + | 0.00834758i | ||||
\(277\) | −8.34222 | + | 4.81638i | −0.501236 | + | 0.289388i | −0.729224 | − | 0.684275i | \(-0.760119\pi\) |
0.227988 | + | 0.973664i | \(0.426785\pi\) | |||||||
\(278\) | 15.8367 | − | 15.8367i | 0.949821 | − | 0.949821i | ||||
\(279\) | −8.50675 | − | 2.27938i | −0.509286 | − | 0.136463i | ||||
\(280\) | 2.21187 | + | 4.88330i | 0.132185 | + | 0.291833i | ||||
\(281\) | −9.81783 | + | 9.81783i | −0.585683 | + | 0.585683i | −0.936459 | − | 0.350777i | \(-0.885918\pi\) |
0.350777 | + | 0.936459i | \(0.385918\pi\) | |||||||
\(282\) | −4.30435 | − | 7.45535i | −0.256320 | − | 0.443959i | ||||
\(283\) | 0.916453 | − | 1.58734i | 0.0544775 | − | 0.0943578i | −0.837501 | − | 0.546436i | \(-0.815984\pi\) |
0.891978 | + | 0.452079i | \(0.149317\pi\) | |||||||
\(284\) | −0.179178 | − | 0.668703i | −0.0106323 | − | 0.0396802i | ||||
\(285\) | −3.94767 | −0.233840 | ||||||||
\(286\) | 24.1780 | − | 13.4756i | 1.42967 | − | 0.796831i | ||||
\(287\) | 13.7074 | + | 16.7067i | 0.809120 | + | 0.986163i | ||||
\(288\) | 0.238057 | − | 0.0637871i | 0.0140276 | − | 0.00375869i | ||||
\(289\) | 5.03204 | − | 8.71576i | 0.296003 | − | 0.512692i | ||||
\(290\) | 0.311430 | + | 0.539413i | 0.0182878 | + | 0.0316754i | ||||
\(291\) | −11.5186 | − | 11.5186i | −0.675233 | − | 0.675233i | ||||
\(292\) | 0.181150 | + | 0.0485389i | 0.0106010 | + | 0.00284052i | ||||
\(293\) | 7.17194 | − | 26.7660i | 0.418989 | − | 1.56369i | −0.357719 | − | 0.933829i | \(-0.616446\pi\) |
0.776709 | − | 0.629860i | \(-0.216888\pi\) | |||||||
\(294\) | −8.32168 | + | 5.55741i | −0.485330 | + | 0.324115i | ||||
\(295\) | 1.70317 | + | 2.94997i | 0.0991622 | + | 0.171754i | ||||
\(296\) | 1.61662 | + | 0.933357i | 0.0939642 | + | 0.0542503i | ||||
\(297\) | −5.18727 | + | 1.38992i | −0.300996 | + | 0.0806516i | ||||
\(298\) | 16.8809i | 0.977883i | ||||||||
\(299\) | −11.7742 | + | 19.6992i | −0.680922 | + | 1.13923i | ||||
\(300\) | 0.195004i | 0.0112586i | ||||||||
\(301\) | −7.30324 | + | 10.1890i | −0.420952 | + | 0.587285i | ||||
\(302\) | 8.59314 | − | 14.8838i | 0.494480 | − | 0.856464i | ||||
\(303\) | 14.5434 | − | 8.39661i | 0.835494 | − | 0.482373i | ||||
\(304\) | 15.7404 | − | 15.7404i | 0.902776 | − | 0.902776i | ||||
\(305\) | 2.83386 | − | 10.5761i | 0.162267 | − | 0.605587i | ||||
\(306\) | −0.974413 | + | 3.63656i | −0.0557035 | + | 0.207888i | ||||
\(307\) | 16.7091 | + | 16.7091i | 0.953641 | + | 0.953641i | 0.998972 | − | 0.0453311i | \(-0.0144343\pi\) |
−0.0453311 | + | 0.998972i | \(0.514434\pi\) | |||||||
\(308\) | −0.579421 | − | 0.218160i | −0.0330156 | − | 0.0124308i | ||||
\(309\) | 0.833510 | + | 0.481227i | 0.0474167 | + | 0.0273761i | ||||
\(310\) | −2.36069 | − | 8.81023i | −0.134078 | − | 0.500387i | ||||
\(311\) | −1.88740 | −0.107025 | −0.0535124 | − | 0.998567i | \(-0.517042\pi\) | ||||
−0.0535124 | + | 0.998567i | \(0.517042\pi\) | |||||||
\(312\) | 2.46226 | + | 9.77871i | 0.139398 | + | 0.553610i | ||||
\(313\) | 4.73972i | 0.267905i | 0.990988 | + | 0.133953i | \(0.0427670\pi\) | ||||
−0.990988 | + | 0.133953i | \(0.957233\pi\) | |||||||
\(314\) | −0.232236 | − | 0.866715i | −0.0131058 | − | 0.0489116i | ||||
\(315\) | −1.89124 | + | 0.312006i | −0.106559 | + | 0.0175796i | ||||
\(316\) | 0.180062 | − | 0.103959i | 0.0101293 | − | 0.00584813i | ||||
\(317\) | 12.0340 | + | 12.0340i | 0.675897 | + | 0.675897i | 0.959069 | − | 0.283172i | \(-0.0913868\pi\) |
−0.283172 | + | 0.959069i | \(0.591387\pi\) | |||||||
\(318\) | −0.389532 | − | 0.104375i | −0.0218439 | − | 0.00585305i | ||||
\(319\) | 3.11965 | + | 0.835908i | 0.174667 | + | 0.0468019i | ||||
\(320\) | −4.00516 | − | 4.00516i | −0.223895 | − | 0.223895i | ||||
\(321\) | −10.3352 | + | 5.96703i | −0.576854 | + | 0.333047i | ||||
\(322\) | 23.7531 | − | 3.91865i | 1.32371 | − | 0.218378i | ||||
\(323\) | 3.71416 | + | 13.8614i | 0.206662 | + | 0.771271i | ||||
\(324\) | 0.0435751i | 0.00242084i | ||||||||
\(325\) | −16.1334 | − | 0.244101i | −0.894922 | − | 0.0135403i | ||||
\(326\) | −18.0940 | −1.00214 | ||||||||
\(327\) | 1.25269 | + | 4.67509i | 0.0692737 | + | 0.258533i | ||||
\(328\) | −19.7834 | − | 11.4219i | −1.09235 | − | 0.630671i | ||||
\(329\) | −14.9109 | − | 5.61414i | −0.822063 | − | 0.309518i | ||||
\(330\) | −3.93281 | − | 3.93281i | −0.216494 | − | 0.216494i | ||||
\(331\) | −4.49452 | + | 16.7738i | −0.247041 | + | 0.921969i | 0.725306 | + | 0.688427i | \(0.241698\pi\) |
−0.972347 | + | 0.233542i | \(0.924968\pi\) | |||||||
\(332\) | 0.0386540 | − | 0.144259i | 0.00212141 | − | 0.00791722i | ||||
\(333\) | −0.471959 | + | 0.471959i | −0.0258632 | + | 0.0258632i | ||||
\(334\) | −18.4872 | + | 10.6736i | −1.01157 | + | 0.584032i | ||||
\(335\) | 1.68081 | − | 2.91125i | 0.0918324 | − | 0.159058i | ||||
\(336\) | 6.29682 | − | 8.78493i | 0.343520 | − | 0.479257i | ||||
\(337\) | − | 10.9597i | − | 0.597011i | −0.954408 | − | 0.298506i | \(-0.903512\pi\) | ||
0.954408 | − | 0.298506i | \(-0.0964882\pi\) | |||||||
\(338\) | 18.0880 | − | 4.26462i | 0.983860 | − | 0.231965i | ||||
\(339\) | 13.5689i | 0.736960i | ||||||||
\(340\) | −0.0803086 | + | 0.0215186i | −0.00435535 | + | 0.00116701i | ||||
\(341\) | −40.9586 | − | 23.6475i | −2.21803 | − | 1.28058i | ||||
\(342\) | 3.89474 | + | 6.74588i | 0.210603 | + | 0.364776i | ||||
\(343\) | −5.38268 | + | 17.7208i | −0.290637 | + | 0.956833i | ||||
\(344\) | 3.42979 | − | 12.8002i | 0.184922 | − | 0.690138i | ||||
\(345\) | 4.45429 | + | 1.19352i | 0.239811 | + | 0.0642572i | ||||
\(346\) | −12.7576 | − | 12.7576i | −0.685853 | − | 0.685853i | ||||
\(347\) | −1.04935 | − | 1.81754i | −0.0563323 | − | 0.0975704i | 0.836484 | − | 0.547991i | \(-0.184607\pi\) |
−0.892816 | + | 0.450421i | \(0.851274\pi\) | |||||||
\(348\) | 0.0131032 | − | 0.0226953i | 0.000702403 | − | 0.00121660i | ||||
\(349\) | −4.33364 | + | 1.16119i | −0.231974 | + | 0.0621573i | −0.372933 | − | 0.927858i | \(-0.621648\pi\) |
0.140959 | + | 0.990015i | \(0.454981\pi\) | |||||||
\(350\) | 10.7360 | + | 13.0851i | 0.573864 | + | 0.699430i | ||||
\(351\) | −3.60514 | − | 0.0545462i | −0.192428 | − | 0.00291146i | ||||
\(352\) | 1.32352 | 0.0705440 | ||||||||
\(353\) | 3.60851 | + | 13.4671i | 0.192061 | + | 0.716783i | 0.993008 | + | 0.118047i | \(0.0376634\pi\) |
−0.800946 | + | 0.598736i | \(0.795670\pi\) | |||||||
\(354\) | 3.36066 | − | 5.82083i | 0.178617 | − | 0.309373i | ||||
\(355\) | −5.75505 | − | 9.96804i | −0.305446 | − | 0.529049i | ||||
\(356\) | −0.183729 | + | 0.183729i | −0.00973764 | + | 0.00973764i | ||||
\(357\) | 2.87491 | + | 6.34714i | 0.152157 | + | 0.335926i | ||||
\(358\) | 15.0758 | + | 4.03954i | 0.796780 | + | 0.213497i | ||||
\(359\) | 14.5777 | − | 14.5777i | 0.769383 | − | 0.769383i | −0.208615 | − | 0.977998i | \(-0.566896\pi\) |
0.977998 | + | 0.208615i | \(0.0668956\pi\) | |||||||
\(360\) | 1.75476 | − | 1.01311i | 0.0924839 | − | 0.0533956i | ||||
\(361\) | 9.25874 | + | 5.34554i | 0.487302 | + | 0.281344i | ||||
\(362\) | 8.20356 | − | 2.19814i | 0.431169 | − | 0.115531i | ||||
\(363\) | −17.8396 | −0.936338 | ||||||||
\(364\) | −0.334152 | − | 0.247249i | −0.0175143 | − | 0.0129594i | ||||
\(365\) | 3.11805 | 0.163206 | ||||||||
\(366\) | −20.8686 | + | 5.59173i | −1.09082 | + | 0.292284i | ||||
\(367\) | 6.13097 | + | 3.53972i | 0.320034 | + | 0.184772i | 0.651408 | − | 0.758728i | \(-0.274179\pi\) |
−0.331374 | + | 0.943500i | \(0.607512\pi\) | |||||||
\(368\) | −22.5194 | + | 13.0016i | −1.17390 | + | 0.677753i | ||||
\(369\) | 5.77559 | − | 5.77559i | 0.300665 | − | 0.300665i | ||||
\(370\) | −0.667708 | − | 0.178912i | −0.0347125 | − | 0.00930119i | ||||
\(371\) | −0.679878 | + | 0.307948i | −0.0352975 | + | 0.0159879i | ||||
\(372\) | −0.271358 | + | 0.271358i | −0.0140693 | + | 0.0140693i | ||||
\(373\) | −8.61866 | − | 14.9280i | −0.446257 | − | 0.772941i | 0.551881 | − | 0.833923i | \(-0.313910\pi\) |
−0.998139 | + | 0.0609820i | \(0.980577\pi\) | |||||||
\(374\) | −10.1091 | + | 17.5094i | −0.522728 | + | 0.905392i | ||||
\(375\) | 1.77668 | + | 6.63066i | 0.0917474 | + | 0.342406i | ||||
\(376\) | 16.8423 | 0.868573 | ||||||||
\(377\) | 1.86127 | + | 1.11248i | 0.0958603 | + | 0.0572959i | ||||
\(378\) | 2.39904 | + | 2.92397i | 0.123393 | + | 0.150393i | ||||
\(379\) | 4.36936 | − | 1.17077i | 0.224439 | − | 0.0601382i | −0.144847 | − | 0.989454i | \(-0.546269\pi\) |
0.369286 | + | 0.929316i | \(0.379602\pi\) | |||||||
\(380\) | −0.0860102 | + | 0.148974i | −0.00441223 | + | 0.00764220i | ||||
\(381\) | 6.55606 | + | 11.3554i | 0.335877 | + | 0.581757i | ||||
\(382\) | 1.62776 | + | 1.62776i | 0.0832833 | + | 0.0832833i | ||||
\(383\) | 27.6971 | + | 7.42141i | 1.41525 | + | 0.379216i | 0.883798 | − | 0.467870i | \(-0.154978\pi\) |
0.531456 | + | 0.847086i | \(0.321645\pi\) | |||||||
\(384\) | −3.02024 | + | 11.2717i | −0.154126 | + | 0.575205i | ||||
\(385\) | −10.2440 | − | 1.01022i | −0.522084 | − | 0.0514855i | ||||
\(386\) | 17.5809 | + | 30.4510i | 0.894843 | + | 1.54991i | ||||
\(387\) | 4.10340 | + | 2.36910i | 0.208587 | + | 0.120428i | ||||
\(388\) | −0.685642 | + | 0.183717i | −0.0348082 | + | 0.00932682i | ||||
\(389\) | 6.44786i | 0.326919i | 0.986550 | + | 0.163460i | \(0.0522654\pi\) | ||||
−0.986550 | + | 0.163460i | \(0.947735\pi\) | |||||||
\(390\) | −1.81795 | − | 3.26177i | −0.0920556 | − | 0.165166i | ||||
\(391\) | − | 16.7633i | − | 0.847754i | ||||||
\(392\) | −1.27563 | − | 19.5359i | −0.0644290 | − | 0.986710i | ||||
\(393\) | 3.48162 | − | 6.03035i | 0.175625 | − | 0.304191i | ||||
\(394\) | 6.11569 | − | 3.53089i | 0.308104 | − | 0.177884i | ||||
\(395\) | 2.44436 | − | 2.44436i | 0.122989 | − | 0.122989i | ||||
\(396\) | −0.0605661 | + | 0.226036i | −0.00304356 | + | 0.0113587i | ||||
\(397\) | 7.70578 | − | 28.7583i | 0.386742 | − | 1.44334i | −0.448661 | − | 0.893702i | \(-0.648099\pi\) |
0.835403 | − | 0.549638i | \(-0.185234\pi\) | |||||||
\(398\) | 4.66734 | + | 4.66734i | 0.233953 | + | 0.233953i | ||||
\(399\) | 13.4919 | + | 5.07990i | 0.675441 | + | 0.254313i | ||||
\(400\) | −15.8327 | − | 9.14100i | −0.791634 | − | 0.457050i | ||||
\(401\) | −5.89581 | − | 22.0035i | −0.294423 | − | 1.09880i | −0.941675 | − | 0.336524i | \(-0.890749\pi\) |
0.647252 | − | 0.762276i | \(-0.275918\pi\) | |||||||
\(402\) | −6.63308 | −0.330828 | ||||||||
\(403\) | −22.1109 | − | 22.7902i | −1.10142 | − | 1.13526i | ||||
\(404\) | − | 0.731767i | − | 0.0364068i | ||||||
\(405\) | 0.187510 | + | 0.699797i | 0.00931745 | + | 0.0347732i | ||||
\(406\) | −0.370252 | − | 2.24430i | −0.0183753 | − | 0.111383i | ||||
\(407\) | −3.10417 | + | 1.79219i | −0.153868 | + | 0.0888356i | ||||
\(408\) | −5.20829 | − | 5.20829i | −0.257849 | − | 0.257849i | ||||
\(409\) | −2.36322 | − | 0.633222i | −0.116854 | − | 0.0313108i | 0.199918 | − | 0.979813i | \(-0.435932\pi\) |
−0.316772 | + | 0.948502i | \(0.602599\pi\) | |||||||
\(410\) | 8.17107 | + | 2.18943i | 0.403540 | + | 0.108128i | ||||
\(411\) | −0.724603 | − | 0.724603i | −0.0357420 | − | 0.0357420i | ||||
\(412\) | 0.0363203 | − | 0.0209695i | 0.00178937 | − | 0.00103309i | ||||
\(413\) | −2.02485 | − | 12.2737i | −0.0996365 | − | 0.603951i | ||||
\(414\) | −2.35504 | − | 8.78913i | −0.115744 | − | 0.431962i | ||||
\(415\) | − | 2.48306i | − | 0.121889i | ||||||
\(416\) | 0.854748 | + | 0.242946i | 0.0419075 | + | 0.0119114i | ||||
\(417\) | −15.6669 | −0.767213 | ||||||||
\(418\) | 10.8268 | + | 40.4061i | 0.529555 | + | 1.97633i | ||||
\(419\) | 16.9152 | + | 9.76598i | 0.826361 | + | 0.477100i | 0.852605 | − | 0.522556i | \(-0.175021\pi\) |
−0.0262443 | + | 0.999656i | \(0.508355\pi\) | |||||||
\(420\) | −0.0294312 | + | 0.0781678i | −0.00143610 | + | 0.00381420i | ||||
\(421\) | 14.8560 | + | 14.8560i | 0.724035 | + | 0.724035i | 0.969425 | − | 0.245389i | \(-0.0789158\pi\) |
−0.245389 | + | 0.969425i | \(0.578916\pi\) | |||||||
\(422\) | 2.50915 | − | 9.36428i | 0.122144 | − | 0.455846i | ||||
\(423\) | −1.55861 | + | 5.81682i | −0.0757823 | + | 0.282823i | ||||
\(424\) | 0.557889 | − | 0.557889i | 0.0270935 | − | 0.0270935i | ||||
\(425\) | 10.2067 | − | 5.89287i | 0.495100 | − | 0.285846i | ||||
\(426\) | −11.3558 | + | 19.6687i | −0.550188 | + | 0.952954i | ||||
\(427\) | −23.2947 | + | 32.4993i | −1.12731 | + | 1.57275i | ||||
\(428\) | 0.520028i | 0.0251365i | ||||||||
\(429\) | −18.6250 | − | 5.29381i | −0.899224 | − | 0.255588i | ||||
\(430\) | 4.90723i | 0.236648i | ||||||||
\(431\) | 13.8720 | − | 3.71698i | 0.668188 | − | 0.179041i | 0.0912498 | − | 0.995828i | \(-0.470914\pi\) |
0.576939 | + | 0.816788i | \(0.304247\pi\) | |||||||
\(432\) | −3.53793 | − | 2.04263i | −0.170219 | − | 0.0982759i | ||||
\(433\) | 18.2103 | + | 31.5412i | 0.875131 | + | 1.51577i | 0.856623 | + | 0.515943i | \(0.172558\pi\) |
0.0185084 | + | 0.999829i | \(0.494108\pi\) | |||||||
\(434\) | −3.26894 | + | 33.1484i | −0.156914 | + | 1.59117i | ||||
\(435\) | 0.112770 | − | 0.420862i | 0.00540689 | − | 0.0201788i | ||||
\(436\) | 0.203717 | + | 0.0545859i | 0.00975630 | + | 0.00261419i | ||||
\(437\) | −24.5248 | − | 24.5248i | −1.17318 | − | 1.17318i | ||||
\(438\) | −3.07624 | − | 5.32821i | −0.146989 | − | 0.254592i | ||||
\(439\) | −16.0130 | + | 27.7354i | −0.764259 | + | 1.32374i | 0.176378 | + | 0.984323i | \(0.443562\pi\) |
−0.940637 | + | 0.339414i | \(0.889771\pi\) | |||||||
\(440\) | 10.5106 | − | 2.81629i | 0.501071 | − | 0.134262i | ||||
\(441\) | 6.86516 | + | 1.36732i | 0.326912 | + | 0.0651104i | ||||
\(442\) | −9.74262 | + | 9.45220i | −0.463409 | + | 0.449595i | ||||
\(443\) | 13.4249 | 0.637834 | 0.318917 | − | 0.947783i | \(-0.396681\pi\) | ||||
0.318917 | + | 0.947783i | \(0.396681\pi\) | |||||||
\(444\) | 0.00752756 | + | 0.0280932i | 0.000357242 | + | 0.00133325i | ||||
\(445\) | −2.16000 | + | 3.74123i | −0.102394 | + | 0.177351i | ||||
\(446\) | −13.8262 | − | 23.9477i | −0.654691 | − | 1.13396i | ||||
\(447\) | 8.34997 | − | 8.34997i | 0.394940 | − | 0.394940i | ||||
\(448\) | 8.53452 | + | 18.8422i | 0.403218 | + | 0.890213i | ||||
\(449\) | 18.5886 | + | 4.98079i | 0.877248 | + | 0.235058i | 0.669220 | − | 0.743065i | \(-0.266629\pi\) |
0.208029 | + | 0.978123i | \(0.433295\pi\) | |||||||
\(450\) | 4.52361 | − | 4.52361i | 0.213245 | − | 0.213245i | ||||
\(451\) | 37.9872 | − | 21.9319i | 1.78875 | − | 1.03273i | ||||
\(452\) | 0.512050 | + | 0.295632i | 0.0240848 | + | 0.0139054i | ||||
\(453\) | −11.6126 | + | 3.11159i | −0.545609 | + | 0.146195i | ||||
\(454\) | −17.1166 | −0.803320 | ||||||||
\(455\) | −6.43029 | − | 2.53281i | −0.301457 | − | 0.118740i | ||||
\(456\) | −15.2395 | −0.713656 | ||||||||
\(457\) | 24.5036 | − | 6.56571i | 1.14623 | − | 0.307131i | 0.364776 | − | 0.931095i | \(-0.381146\pi\) |
0.781453 | + | 0.623964i | \(0.214479\pi\) | |||||||
\(458\) | 1.32281 | + | 0.763722i | 0.0618107 | + | 0.0356864i | ||||
\(459\) | 2.28077 | − | 1.31681i | 0.106457 | − | 0.0614632i | ||||
\(460\) | 0.142088 | − | 0.142088i | 0.00662490 | − | 0.00662490i | ||||
\(461\) | −23.2002 | − | 6.21648i | −1.08054 | − | 0.289530i | −0.325724 | − | 0.945465i | \(-0.605608\pi\) |
−0.754818 | + | 0.655935i | \(0.772275\pi\) | |||||||
\(462\) | 8.38037 | + | 18.5019i | 0.389890 | + | 0.860787i | ||||
\(463\) | 1.96489 | − | 1.96489i | 0.0913160 | − | 0.0913160i | −0.659973 | − | 0.751289i | \(-0.729432\pi\) |
0.751289 | + | 0.659973i | \(0.229432\pi\) | |||||||
\(464\) | 1.22845 | + | 2.12773i | 0.0570292 | + | 0.0987774i | ||||
\(465\) | −3.19020 | + | 5.52559i | −0.147942 | + | 0.256243i | ||||
\(466\) | 6.01678 | + | 22.4549i | 0.278722 | + | 1.04020i | ||||
\(467\) | 1.05748 | 0.0489341 | 0.0244671 | − | 0.999701i | \(-0.492211\pi\) | ||||
0.0244671 | + | 0.999701i | \(0.492211\pi\) | |||||||
\(468\) | −0.0806056 | + | 0.134859i | −0.00372599 | + | 0.00623387i | ||||
\(469\) | −9.49070 | + | 7.78687i | −0.438240 | + | 0.359564i | ||||
\(470\) | −6.02434 | + | 1.61422i | −0.277882 | + | 0.0744582i | ||||
\(471\) | −0.313839 | + | 0.543586i | −0.0144610 | + | 0.0250471i | ||||
\(472\) | 6.57487 | + | 11.3880i | 0.302633 | + | 0.524176i | ||||
\(473\) | 17.9926 | + | 17.9926i | 0.827299 | + | 0.827299i | ||||
\(474\) | −6.58857 | − | 1.76540i | −0.302623 | − | 0.0810876i | ||||
\(475\) | 6.31123 | − | 23.5538i | 0.289579 | − | 1.08072i | ||||
\(476\) | 0.302160 | + | 0.0297977i | 0.0138495 | + | 0.00136577i | ||||
\(477\) | 0.141050 | + | 0.244307i | 0.00645826 | + | 0.0111860i | ||||
\(478\) | −26.5765 | − | 15.3439i | −1.21558 | − | 0.701816i | ||||
\(479\) | −4.87277 | + | 1.30565i | −0.222643 | + | 0.0596569i | −0.368416 | − | 0.929661i | \(-0.620100\pi\) |
0.145773 | + | 0.989318i | \(0.453433\pi\) | |||||||
\(480\) | − | 0.178552i | − | 0.00814975i | ||||||
\(481\) | −2.33369 | + | 0.587618i | −0.106407 | + | 0.0267931i | ||||
\(482\) | − | 18.3028i | − | 0.833668i | ||||||
\(483\) | −13.6876 | − | 9.81091i | −0.622806 | − | 0.446412i | ||||
\(484\) | −0.388682 | + | 0.673217i | −0.0176674 | + | 0.0306008i | ||||
\(485\) | −10.2205 | + | 5.90083i | −0.464091 | + | 0.267943i | ||||
\(486\) | 1.01084 | − | 1.01084i | 0.0458524 | − | 0.0458524i | ||||
\(487\) | 0.725342 | − | 2.70701i | 0.0328684 | − | 0.122666i | −0.947542 | − | 0.319630i | \(-0.896441\pi\) |
0.980411 | + | 0.196964i | \(0.0631081\pi\) | |||||||
\(488\) | 10.9398 | − | 40.8279i | 0.495221 | − | 1.84819i | ||||
\(489\) | 8.95004 | + | 8.95004i | 0.404735 | + | 0.404735i | ||||
\(490\) | 2.32866 | + | 6.86556i | 0.105198 | + | 0.310154i | ||||
\(491\) | −10.7778 | − | 6.22255i | −0.486394 | − | 0.280820i | 0.236683 | − | 0.971587i | \(-0.423940\pi\) |
−0.723077 | + | 0.690767i | \(0.757273\pi\) | |||||||
\(492\) | −0.0921183 | − | 0.343790i | −0.00415301 | − | 0.0154993i | ||||
\(493\) | −1.58387 | −0.0713338 | ||||||||
\(494\) | −0.424886 | + | 28.0821i | −0.0191165 | + | 1.26348i | ||||
\(495\) | 3.89066i | 0.174872i | ||||||||
\(496\) | −9.31182 | − | 34.7522i | −0.418113 | − | 1.56042i | ||||
\(497\) | 6.84204 | + | 41.4733i | 0.306907 | + | 1.86033i | ||||
\(498\) | −4.24312 | + | 2.44977i | −0.190139 | + | 0.109777i | ||||
\(499\) | −6.23994 | − | 6.23994i | −0.279338 | − | 0.279338i | 0.553507 | − | 0.832845i | \(-0.313289\pi\) |
−0.832845 | + | 0.553507i | \(0.813289\pi\) | |||||||
\(500\) | 0.288932 | + | 0.0774191i | 0.0129214 | + | 0.00346229i | ||||
\(501\) | 14.4241 | + | 3.86492i | 0.644420 | + | 0.172672i | ||||
\(502\) | 7.31788 | + | 7.31788i | 0.326613 | + | 0.326613i | ||||
\(503\) | −13.6723 | + | 7.89370i | −0.609617 | + | 0.351963i | −0.772816 | − | 0.634631i | \(-0.781152\pi\) |
0.163198 | + | 0.986593i | \(0.447819\pi\) | |||||||
\(504\) | −7.30090 | + | 1.20446i | −0.325208 | + | 0.0536510i | ||||
\(505\) | −3.14890 | − | 11.7519i | −0.140124 | − | 0.522951i | ||||
\(506\) | − | 48.8649i | − | 2.17231i | ||||||
\(507\) | −11.0565 | − | 6.83763i | −0.491038 | − | 0.303670i | ||||
\(508\) | 0.571362 | 0.0253501 | ||||||||
\(509\) | 6.32401 | + | 23.6015i | 0.280307 | + | 1.04612i | 0.952201 | + | 0.305472i | \(0.0988142\pi\) |
−0.671894 | + | 0.740647i | \(0.734519\pi\) | |||||||
\(510\) | 2.36214 | + | 1.36378i | 0.104597 | + | 0.0603893i | ||||
\(511\) | −10.6565 | − | 4.01233i | −0.471418 | − | 0.177495i | ||||
\(512\) | −15.4462 | − | 15.4462i | −0.682634 | − | 0.682634i | ||||
\(513\) | 1.41029 | − | 5.26328i | 0.0622659 | − | 0.232380i | ||||
\(514\) | 1.40813 | − | 5.25523i | 0.0621101 | − | 0.231798i | ||||
\(515\) | 0.493053 | − | 0.493053i | 0.0217265 | − | 0.0217265i | ||||
\(516\) | 0.178806 | − | 0.103234i | 0.00787150 | − | 0.00454461i | ||||
\(517\) | −16.1699 | + | 28.0070i | −0.711150 | + | 1.23175i | ||||
\(518\) | 2.05180 | + | 1.47068i | 0.0901507 | + | 0.0646179i | ||||
\(519\) | 12.6209i | 0.553994i | ||||||||
\(520\) | 7.30481 | + | 0.110523i | 0.320337 | + | 0.00484674i | ||||
\(521\) | 2.98806i | 0.130909i | 0.997856 | + | 0.0654547i | \(0.0208498\pi\) | ||||
−0.997856 | + | 0.0654547i | \(0.979150\pi\) | |||||||
\(522\) | −0.830436 | + | 0.222515i | −0.0363472 | + | 0.00973921i | ||||
\(523\) | −23.5900 | − | 13.6197i | −1.03152 | − | 0.595547i | −0.114099 | − | 0.993469i | \(-0.536398\pi\) |
−0.917419 | + | 0.397922i | \(0.869731\pi\) | |||||||
\(524\) | −0.151712 | − | 0.262773i | −0.00662757 | − | 0.0114793i | ||||
\(525\) | 1.16198 | − | 11.7829i | 0.0507128 | − | 0.514248i | ||||
\(526\) | −1.49215 | + | 5.56879i | −0.0650610 | + | 0.242811i | ||||
\(527\) | 22.4035 | + | 6.00299i | 0.975910 | + | 0.261494i | ||||
\(528\) | −15.5131 | − | 15.5131i | −0.675121 | − | 0.675121i | ||||
\(529\) | 8.75738 | + | 15.1682i | 0.380756 | + | 0.659488i | ||||
\(530\) | −0.146083 | + | 0.253022i | −0.00634542 | + | 0.0109906i | ||||
\(531\) | −4.54153 | + | 1.21690i | −0.197086 | + | 0.0528090i | ||||
\(532\) | 0.485657 | − | 0.398468i | 0.0210559 | − | 0.0172758i | ||||
\(533\) | 28.5584 | − | 7.19096i | 1.23700 | − | 0.311475i | ||||
\(534\) | 8.52414 | 0.368875 | ||||||||
\(535\) | 2.23776 | + | 8.35142i | 0.0967466 | + | 0.361063i | ||||
\(536\) | 6.48856 | − | 11.2385i | 0.280263 | − | 0.485430i | ||||
\(537\) | −5.45897 | − | 9.45522i | −0.235572 | − | 0.408023i | ||||
\(538\) | −7.04290 | + | 7.04290i | −0.303641 | + | 0.303641i | ||||
\(539\) | 33.7110 | + | 16.6347i | 1.45203 | + | 0.716507i | ||||
\(540\) | 0.0304937 | + | 0.00817077i | 0.00131224 | + | 0.000351614i | ||||
\(541\) | −5.00068 | + | 5.00068i | −0.214996 | + | 0.214996i | −0.806386 | − | 0.591390i | \(-0.798579\pi\) |
0.591390 | + | 0.806386i | \(0.298579\pi\) | |||||||
\(542\) | −10.4114 | + | 6.01100i | −0.447206 | + | 0.258195i | ||||
\(543\) | −5.14510 | − | 2.97052i | −0.220797 | − | 0.127477i | ||||
\(544\) | −0.626949 | + | 0.167990i | −0.0268802 | + | 0.00720253i | ||||
\(545\) | 3.50650 | 0.150202 | ||||||||
\(546\) | 2.01593 | + | 13.4871i | 0.0862739 | + | 0.577194i | ||||
\(547\) | −23.2544 | −0.994288 | −0.497144 | − | 0.867668i | \(-0.665618\pi\) | ||||
−0.497144 | + | 0.867668i | \(0.665618\pi\) | |||||||
\(548\) | −0.0431318 | + | 0.0115571i | −0.00184250 | + | 0.000493696i | ||||
\(549\) | 13.0884 | + | 7.55656i | 0.558597 | + | 0.322506i | ||||
\(550\) | 29.7527 | − | 17.1777i | 1.26866 | − | 0.732460i | ||||
\(551\) | −2.31721 | + | 2.31721i | −0.0987164 | + | 0.0987164i | ||||
\(552\) | 17.1953 | + | 4.60746i | 0.731879 | + | 0.196106i | ||||
\(553\) | −11.4995 | + | 5.20865i | −0.489008 | + | 0.221494i | ||||
\(554\) | 9.73714 | − | 9.73714i | 0.413691 | − | 0.413691i | ||||
\(555\) | 0.241779 | + | 0.418773i | 0.0102629 | + | 0.0177759i | ||||
\(556\) | −0.341344 | + | 0.591225i | −0.0144762 | + | 0.0250735i | ||||
\(557\) | −4.49356 | − | 16.7702i | −0.190398 | − | 0.710576i | −0.993410 | − | 0.114613i | \(-0.963437\pi\) |
0.803012 | − | 0.595963i | \(-0.203230\pi\) | |||||||
\(558\) | 12.5897 | 0.532964 | ||||||||
\(559\) | 8.31710 | + | 14.9225i | 0.351776 | + | 0.631156i | ||||
\(560\) | −4.96695 | − | 6.05376i | −0.209892 | − | 0.255818i | ||||
\(561\) | 13.6612 | − | 3.66052i | 0.576778 | − | 0.154547i | ||||
\(562\) | 9.92421 | − | 17.1892i | 0.418627 | − | 0.725084i | ||||
\(563\) | −9.17267 | − | 15.8875i | −0.386582 | − | 0.669579i | 0.605405 | − | 0.795917i | \(-0.293011\pi\) |
−0.991987 | + | 0.126338i | \(0.959678\pi\) | |||||||
\(564\) | 0.185552 | + | 0.185552i | 0.00781314 | + | 0.00781314i | ||||
\(565\) | 9.49545 | + | 2.54430i | 0.399477 | + | 0.107039i | ||||
\(566\) | −0.678159 | + | 2.53093i | −0.0285052 | + | 0.106383i | ||||
\(567\) | 0.259652 | − | 2.63298i | 0.0109044 | − | 0.110575i | ||||
\(568\) | −22.2167 | − | 38.4804i | −0.932191 | − | 1.61460i | ||||
\(569\) | −12.1394 | − | 7.00867i | −0.508909 | − | 0.293819i | 0.223476 | − | 0.974709i | \(-0.428260\pi\) |
−0.732385 | + | 0.680891i | \(0.761593\pi\) | |||||||
\(570\) | 5.45105 | − | 1.46061i | 0.228319 | − | 0.0611780i | ||||
\(571\) | − | 10.4239i | − | 0.436226i | −0.975924 | − | 0.218113i | \(-0.930010\pi\) | ||
0.975924 | − | 0.218113i | \(-0.0699901\pi\) | |||||||
\(572\) | −0.605567 | + | 0.587515i | −0.0253200 | + | 0.0245652i | ||||
\(573\) | − | 1.61031i | − | 0.0672716i | ||||||
\(574\) | −25.1088 | − | 17.9974i | −1.04802 | − | 0.751196i | ||||
\(575\) | −14.2424 | + | 24.6685i | −0.593947 | + | 1.02875i | ||||
\(576\) | 6.77075 | − | 3.90909i | 0.282115 | − | 0.162879i | ||||
\(577\) | 11.2444 | − | 11.2444i | 0.468111 | − | 0.468111i | −0.433191 | − | 0.901302i | \(-0.642612\pi\) |
0.901302 | + | 0.433191i | \(0.142612\pi\) | |||||||
\(578\) | −3.72363 | + | 13.8968i | −0.154882 | + | 0.578029i | ||||
\(579\) | 6.36607 | − | 23.7585i | 0.264565 | − | 0.987370i | ||||
\(580\) | −0.0134252 | − | 0.0134252i | −0.000557449 | − | 0.000557449i | ||||
\(581\) | −3.19522 | + | 8.48634i | −0.132560 | + | 0.352073i | ||||
\(582\) | 20.1670 | + | 11.6434i | 0.835948 | + | 0.482635i | ||||
\(583\) | 0.392099 | + | 1.46333i | 0.0162391 | + | 0.0606051i | ||||
\(584\) | 12.0369 | 0.498090 | ||||||||
\(585\) | −0.714171 | + | 2.51264i | −0.0295273 | + | 0.103885i | ||||
\(586\) | 39.6128i | 1.63639i | ||||||||
\(587\) | −10.3083 | − | 38.4710i | −0.425468 | − | 1.58787i | −0.762900 | − | 0.646517i | \(-0.776225\pi\) |
0.337432 | − | 0.941350i | \(-0.390442\pi\) | |||||||
\(588\) | 0.201174 | − | 0.229281i | 0.00829627 | − | 0.00945539i | ||||
\(589\) | 41.5588 | − | 23.9940i | 1.71240 | − | 0.988656i | ||||
\(590\) | −3.44324 | − | 3.44324i | −0.141756 | − | 0.141756i | ||||
\(591\) | −4.77159 | − | 1.27854i | −0.196277 | − | 0.0525923i | ||||
\(592\) | −2.63379 | − | 0.705723i | −0.108248 | − | 0.0290050i | ||||
\(593\) | 23.4934 | + | 23.4934i | 0.964759 | + | 0.964759i | 0.999400 | − | 0.0346408i | \(-0.0110287\pi\) |
−0.0346408 | + | 0.999400i | \(0.511029\pi\) | |||||||
\(594\) | 6.64846 | − | 3.83849i | 0.272789 | − | 0.157495i | ||||
\(595\) | 4.98079 | − | 0.821703i | 0.204192 | − | 0.0336865i | ||||
\(596\) | −0.133179 | − | 0.497029i | −0.00545521 | − | 0.0203591i | ||||
\(597\) | − | 4.61731i | − | 0.188974i | ||||||
\(598\) | 8.96966 | − | 31.5576i | 0.366797 | − | 1.29048i | ||||
\(599\) | −45.3452 | −1.85276 | −0.926378 | − | 0.376594i | \(-0.877095\pi\) | ||||
−0.926378 | + | 0.376594i | \(0.877095\pi\) | |||||||
\(600\) | 3.23936 | + | 12.0895i | 0.132246 | + | 0.493551i | ||||
\(601\) | 24.8361 | + | 14.3392i | 1.01309 | + | 0.584906i | 0.912094 | − | 0.409981i | \(-0.134465\pi\) |
0.100993 | + | 0.994887i | \(0.467798\pi\) | |||||||
\(602\) | 6.31466 | − | 16.7714i | 0.257366 | − | 0.683552i | ||||
\(603\) | 3.28099 | + | 3.28099i | 0.133612 | + | 0.133612i | ||||
\(604\) | −0.135588 | + | 0.506021i | −0.00551700 | + | 0.0205897i | ||||
\(605\) | −3.34511 | + | 12.4841i | −0.135998 | + | 0.507552i | ||||
\(606\) | −16.9752 | + | 16.9752i | −0.689570 | + | 0.689570i | ||||
\(607\) | −8.50843 | + | 4.91234i | −0.345347 | + | 0.199386i | −0.662634 | − | 0.748944i | \(-0.730561\pi\) |
0.317287 | + | 0.948329i | \(0.397228\pi\) | |||||||
\(608\) | −0.671459 | + | 1.16300i | −0.0272313 | + | 0.0471659i | ||||
\(609\) | −0.926979 | + | 1.29326i | −0.0375631 | + | 0.0524057i | ||||
\(610\) | 15.6523i | 0.633743i | ||||||||
\(611\) | −15.5837 | + | 15.1192i | −0.630449 | + | 0.611656i | ||||
\(612\) | − | 0.114760i | − | 0.00463889i | ||||||
\(613\) | −24.7029 | + | 6.61912i | −0.997741 | + | 0.267344i | −0.720499 | − | 0.693456i | \(-0.756087\pi\) |
−0.277242 | + | 0.960800i | \(0.589420\pi\) | |||||||
\(614\) | −29.2547 | − | 16.8902i | −1.18062 | − | 0.681632i | ||||
\(615\) | −2.95876 | − | 5.12472i | −0.119309 | − | 0.206649i | ||||
\(616\) | −39.5458 | − | 3.89983i | −1.59335 | − | 0.157129i | ||||
\(617\) | 1.62469 | − | 6.06341i | 0.0654074 | − | 0.244104i | −0.925480 | − | 0.378796i | \(-0.876338\pi\) |
0.990887 | + | 0.134693i | \(0.0430047\pi\) | |||||||
\(618\) | −1.32898 | − | 0.356100i | −0.0534595 | − | 0.0143244i | ||||
\(619\) | −28.4665 | − | 28.4665i | −1.14416 | − | 1.14416i | −0.987680 | − | 0.156484i | \(-0.949984\pi\) |
−0.156484 | − | 0.987680i | \(-0.550016\pi\) | |||||||
\(620\) | 0.139013 | + | 0.240778i | 0.00558291 | + | 0.00966989i | ||||
\(621\) | −3.18256 | + | 5.51236i | −0.127712 | + | 0.221203i | ||||
\(622\) | 2.60617 | − | 0.698322i | 0.104498 | − | 0.0280002i | ||||
\(623\) | 12.1964 | − | 10.0069i | 0.488640 | − | 0.400916i | ||||
\(624\) | −7.17097 | − | 12.8662i | −0.287068 | − | 0.515058i | ||||
\(625\) | −17.4024 | −0.696094 | ||||||||
\(626\) | −1.75366 | − | 6.54474i | −0.0700902 | − | 0.261580i | ||||
\(627\) | 14.6311 | − | 25.3419i | 0.584311 | − | 1.01206i | ||||
\(628\) | 0.0136756 | + | 0.0236868i | 0.000545715 | + | 0.000945206i | ||||
\(629\) | 1.24296 | − | 1.24296i | 0.0495599 | − | 0.0495599i | ||||
\(630\) | 2.49603 | − | 1.13057i | 0.0994443 | − | 0.0450429i | ||||
\(631\) | 12.2380 | + | 3.27917i | 0.487188 | + | 0.130542i | 0.494048 | − | 0.869435i | \(-0.335517\pi\) |
−0.00685968 | + | 0.999976i | \(0.502184\pi\) | |||||||
\(632\) | 9.43616 | − | 9.43616i | 0.375350 | − | 0.375350i | ||||
\(633\) | −5.87308 | + | 3.39083i | −0.233434 | + | 0.134773i | ||||
\(634\) | −21.0693 | − | 12.1644i | −0.836771 | − | 0.483110i | ||||
\(635\) | 9.17583 | − | 2.45866i | 0.364132 | − | 0.0975688i | ||||
\(636\) | 0.0122926 | 0.000487432 | ||||||||
\(637\) | 18.7175 | + | 16.9309i | 0.741614 | + | 0.670827i | ||||
\(638\) | −4.61697 | −0.182788 | ||||||||
\(639\) | 15.3460 | − | 4.11194i | 0.607078 | − | 0.162666i | ||||
\(640\) | 7.32156 | + | 4.22710i | 0.289410 | + | 0.167091i | ||||
\(641\) | 24.0436 | − | 13.8816i | 0.949666 | − | 0.548290i | 0.0566885 | − | 0.998392i | \(-0.481946\pi\) |
0.892977 | + | 0.450102i | \(0.148612\pi\) | |||||||
\(642\) | 12.0634 | − | 12.0634i | 0.476103 | − | 0.476103i | ||||
\(643\) | −17.1125 | − | 4.58528i | −0.674851 | − | 0.180826i | −0.0949121 | − | 0.995486i | \(-0.530257\pi\) |
−0.579939 | + | 0.814660i | \(0.696924\pi\) | |||||||
\(644\) | −0.668454 | + | 0.302774i | −0.0263408 | + | 0.0119310i | ||||
\(645\) | 2.42732 | − | 2.42732i | 0.0955755 | − | 0.0955755i | ||||
\(646\) | −10.2572 | − | 17.7660i | −0.403565 | − | 0.698995i | ||||
\(647\) | −3.33450 | + | 5.77553i | −0.131093 | + | 0.227059i | −0.924098 | − | 0.382155i | \(-0.875182\pi\) |
0.793005 | + | 0.609215i | \(0.208515\pi\) | |||||||
\(648\) | 0.723860 | + | 2.70148i | 0.0284359 | + | 0.106124i | ||||
\(649\) | −25.2495 | −0.991131 | ||||||||
\(650\) | 22.3678 | − | 5.63217i | 0.877337 | − | 0.220912i | ||||
\(651\) | 18.0135 | − | 14.7796i | 0.706004 | − | 0.579258i | ||||
\(652\) | 0.532748 | − | 0.142749i | 0.0208640 | − | 0.00559050i | ||||
\(653\) | −0.491840 | + | 0.851891i | −0.0192472 | + | 0.0333371i | −0.875489 | − | 0.483239i | \(-0.839460\pi\) |
0.856241 | + | 0.516576i | \(0.172794\pi\) | |||||||
\(654\) | −3.45948 | − | 5.99200i | −0.135277 | − | 0.234306i | ||||
\(655\) | −3.56718 | − | 3.56718i | −0.139381 | − | 0.139381i | ||||
\(656\) | 32.2310 | + | 8.63627i | 1.25841 | + | 0.337190i | ||||
\(657\) | −1.11391 | + | 4.15718i | −0.0434579 | + | 0.162187i | ||||
\(658\) | 22.6665 | + | 2.23527i | 0.883632 | + | 0.0871398i | ||||
\(659\) | −10.5833 | − | 18.3308i | −0.412267 | − | 0.714067i | 0.582871 | − | 0.812565i | \(-0.301929\pi\) |
−0.995137 | + | 0.0984983i | \(0.968596\pi\) | |||||||
\(660\) | 0.146822 | + | 0.0847679i | 0.00571505 | + | 0.00329959i | ||||
\(661\) | 16.8983 | − | 4.52790i | 0.657270 | − | 0.176115i | 0.0852561 | − | 0.996359i | \(-0.472829\pi\) |
0.572013 | + | 0.820244i | \(0.306163\pi\) | |||||||
\(662\) | − | 24.8246i | − | 0.964835i | ||||||
\(663\) | 9.49454 | + | 0.143653i | 0.368737 | + | 0.00557904i | ||||
\(664\) | − | 9.58557i | − | 0.371992i | ||||||
\(665\) | 6.08477 | − | 8.48908i | 0.235957 | − | 0.329193i | ||||
\(666\) | 0.477073 | − | 0.826314i | 0.0184862 | − | 0.0320190i | ||||
\(667\) | 3.31516 | − | 1.91401i | 0.128364 | − | 0.0741107i | ||||
\(668\) | 0.460116 | − | 0.460116i | 0.0178024 | − | 0.0178024i | ||||
\(669\) | −5.00651 | + | 18.6845i | −0.193563 | + | 0.722386i | ||||
\(670\) | −1.24377 | + | 4.64181i | −0.0480510 | + | 0.179329i | ||||
\(671\) | 57.3897 | + | 57.3897i | 2.21551 | + | 2.21551i | ||||
\(672\) | −0.229762 | + | 0.610236i | −0.00886327 | + | 0.0235404i | ||||
\(673\) | 21.4934 | + | 12.4092i | 0.828511 | + | 0.478341i | 0.853343 | − | 0.521351i | \(-0.174572\pi\) |
−0.0248316 | + | 0.999692i | \(0.507905\pi\) | |||||||
\(674\) | 4.05498 | + | 15.1334i | 0.156192 | + | 0.582917i | ||||
\(675\) | −4.47512 | −0.172248 | ||||||||
\(676\) | −0.498927 | + | 0.268267i | −0.0191895 | + | 0.0103180i | ||||
\(677\) | 18.0191i | 0.692531i | 0.938137 | + | 0.346266i | \(0.112550\pi\) | ||||
−0.938137 | + | 0.346266i | \(0.887450\pi\) | |||||||
\(678\) | −5.02036 | − | 18.7362i | −0.192806 | − | 0.719561i | ||||
\(679\) | 42.5239 | − | 7.01536i | 1.63192 | − | 0.269225i | ||||
\(680\) | −4.62135 | + | 2.66814i | −0.177221 | + | 0.102318i | ||||
\(681\) | 8.46655 | + | 8.46655i | 0.324439 | + | 0.324439i | ||||
\(682\) | 65.3061 | + | 17.4987i | 2.50070 | + | 0.670060i | ||||
\(683\) | −31.7978 | − | 8.52018i | −1.21671 | − | 0.326016i | −0.407317 | − | 0.913287i | \(-0.633536\pi\) |
−0.809390 | + | 0.587271i | \(0.800202\pi\) | |||||||
\(684\) | −0.167894 | − | 0.167894i | −0.00641961 | − | 0.00641961i | ||||
\(685\) | −0.642945 | + | 0.371205i | −0.0245657 | + | 0.0141830i | ||||
\(686\) | 0.876001 | − | 26.4609i | 0.0334459 | − | 1.01028i | ||||
\(687\) | −0.276545 | − | 1.03208i | −0.0105509 | − | 0.0393764i | ||||
\(688\) | 19.3567i | 0.737968i | ||||||||
\(689\) | −0.0153875 | + | 1.01701i | −0.000586218 | + | 0.0387451i | ||||
\(690\) | −6.59220 | −0.250961 | ||||||||
\(691\) | 4.58957 | + | 17.1285i | 0.174595 | + | 0.651599i | 0.996620 | + | 0.0821472i | \(0.0261778\pi\) |
−0.822025 | + | 0.569452i | \(0.807156\pi\) | |||||||
\(692\) | 0.476275 | + | 0.274977i | 0.0181053 | + | 0.0104531i | ||||
\(693\) | 5.00653 | − | 13.2971i | 0.190182 | − | 0.505114i | ||||
\(694\) | 2.12145 | + | 2.12145i | 0.0805291 | + | 0.0805291i | ||||
\(695\) | −2.93771 | + | 10.9637i | −0.111434 | + | 0.415876i | ||||
\(696\) | 0.435333 | − | 1.62469i | 0.0165013 | − | 0.0615836i | ||||
\(697\) | −15.2107 | + | 15.2107i | −0.576145 | + | 0.576145i | ||||
\(698\) | 5.55437 | − | 3.20682i | 0.210236 | − | 0.121380i | ||||
\(699\) | 8.13097 | − | 14.0833i | 0.307541 | − | 0.532677i | ||||
\(700\) | −0.419337 | − | 0.300570i | −0.0158494 | − | 0.0113605i | ||||
\(701\) | − | 41.2421i | − | 1.55769i | −0.627214 | − | 0.778847i | \(-0.715805\pi\) | ||
0.627214 | − | 0.778847i | \(-0.284195\pi\) | |||||||
\(702\) | 4.99825 | − | 1.25855i | 0.188647 | − | 0.0475010i | ||||
\(703\) | − | 3.63691i | − | 0.137169i | ||||||
\(704\) | 40.5550 | − | 10.8667i | 1.52848 | − | 0.409554i | ||||
\(705\) | 3.77834 | + | 2.18142i | 0.142300 | + | 0.0821572i | ||||
\(706\) | −9.96545 | − | 17.2607i | −0.375054 | − | 0.649613i | ||||
\(707\) | −4.36040 | + | 44.2162i | −0.163990 | + | 1.66292i | ||||
\(708\) | −0.0530266 | + | 0.197898i | −0.00199286 | + | 0.00743745i | ||||
\(709\) | −23.1654 | − | 6.20716i | −0.869996 | − | 0.233115i | −0.203910 | − | 0.978990i | \(-0.565365\pi\) |
−0.666086 | + | 0.745875i | \(0.732032\pi\) | |||||||
\(710\) | 11.6348 | + | 11.6348i | 0.436647 | + | 0.436647i | ||||
\(711\) | 2.38573 | + | 4.13221i | 0.0894720 | + | 0.154970i | ||||
\(712\) | −8.33842 | + | 14.4426i | −0.312495 | + | 0.541258i | ||||
\(713\) | −54.1465 | + | 14.5085i | −2.02780 | + | 0.543348i | ||||
\(714\) | −6.31815 | − | 7.70061i | −0.236451 | − | 0.288188i | ||||
\(715\) | −7.19697 | + | 12.0411i | −0.269151 | + | 0.450311i | ||||
\(716\) | −0.475751 | −0.0177796 | ||||||||
\(717\) | 5.55607 | + | 20.7355i | 0.207495 | + | 0.774383i | ||||
\(718\) | −14.7357 | + | 25.5229i | −0.549930 | + | 0.952507i | ||||
\(719\) | −10.7383 | − | 18.5992i | −0.400469 | − | 0.693633i | 0.593313 | − | 0.804972i | \(-0.297820\pi\) |
−0.993783 | + | 0.111338i | \(0.964486\pi\) | |||||||
\(720\) | −2.09282 | + | 2.09282i | −0.0779948 | + | 0.0779948i | ||||
\(721\) | −2.31957 | + | 1.05064i | −0.0863851 | + | 0.0391278i | ||||
\(722\) | −14.7625 | − | 3.95561i | −0.549404 | − | 0.147212i | ||||
\(723\) | −9.05329 | + | 9.05329i | −0.336696 | + | 0.336696i | ||||
\(724\) | −0.224198 | + | 0.129441i | −0.00833226 | + | 0.00481063i | ||||
\(725\) | 2.33079 | + | 1.34568i | 0.0865633 | + | 0.0499774i | ||||
\(726\) | 24.6334 | − | 6.60051i | 0.914232 | − | 0.244968i | ||||
\(727\) | −16.2550 | −0.602863 | −0.301431 | − | 0.953488i | \(-0.597464\pi\) | ||||
−0.301431 | + | 0.953488i | \(0.597464\pi\) | |||||||
\(728\) | −24.8234 | − | 9.77761i | −0.920015 | − | 0.362382i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −4.30549 | + | 1.15365i | −0.159353 | + | 0.0426986i | ||||
\(731\) | −10.8068 | − | 6.23928i | −0.399702 | − | 0.230768i | ||||
\(732\) | 0.570326 | − | 0.329278i | 0.0210799 | − | 0.0121705i | ||||
\(733\) | 37.7313 | − | 37.7313i | 1.39364 | − | 1.39364i | 0.576637 | − | 0.817001i | \(-0.304365\pi\) |
0.817001 | − | 0.576637i | \(-0.195635\pi\) | |||||||
\(734\) | −9.77547 | − | 2.61933i | −0.360819 | − | 0.0966812i | ||||
\(735\) | 2.24413 | − | 4.54783i | 0.0827761 | − | 0.167749i | ||||
\(736\) | 1.10925 | − | 1.10925i | 0.0408874 | − | 0.0408874i | ||||
\(737\) | 12.4591 | + | 21.5797i | 0.458935 | + | 0.794899i | ||||
\(738\) | −5.83817 | + | 10.1120i | −0.214906 | + | 0.372228i | ||||
\(739\) | −11.5735 | − | 43.1929i | −0.425738 | − | 1.58888i | −0.762305 | − | 0.647218i | \(-0.775932\pi\) |
0.336567 | − | 0.941660i | \(-0.390734\pi\) | |||||||
\(740\) | 0.0210711 | 0.000774587 | ||||||||
\(741\) | 14.1007 | − | 13.6804i | 0.518003 | − | 0.502562i | ||||
\(742\) | 0.824856 | − | 0.676772i | 0.0302814 | − | 0.0248451i | ||||
\(743\) | −43.8408 | + | 11.7471i | −1.60836 | + | 0.430959i | −0.947554 | − | 0.319596i | \(-0.896453\pi\) |
−0.660808 | + | 0.750555i | \(0.729786\pi\) | |||||||
\(744\) | −12.3154 | + | 21.3309i | −0.451504 | + | 0.782028i | ||||
\(745\) | −4.27758 | − | 7.40899i | −0.156718 | − | 0.271444i | ||||
\(746\) | 17.4241 | + | 17.4241i | 0.637941 | + | 0.637941i | ||||
\(747\) | 3.31057 | + | 0.887065i | 0.121128 | + | 0.0324560i | ||||
\(748\) | 0.159508 | − | 0.595290i | 0.00583217 | − | 0.0217660i | ||||
\(749\) | 3.09870 | − | 31.4221i | 0.113224 | − | 1.14814i | ||||
\(750\) | −4.90658 | − | 8.49844i | −0.179163 | − | 0.310319i | ||||
\(751\) | 27.9904 | + | 16.1603i | 1.02138 | + | 0.589696i | 0.914505 | − | 0.404575i | \(-0.132581\pi\) |
0.106880 | + | 0.994272i | \(0.465914\pi\) | |||||||
\(752\) | −23.7632 | + | 6.36732i | −0.866554 | + | 0.232192i | ||||
\(753\) | − | 7.23944i | − | 0.263820i | ||||||
\(754\) | −2.98170 | − | 0.847494i | −0.108587 | − | 0.0308639i | ||||
\(755\) | 8.70994i | 0.316987i | ||||||||
\(756\) | −0.0937039 | − | 0.0671647i | −0.00340798 | − | 0.00244276i | ||||
\(757\) | −14.5363 | + | 25.1776i | −0.528331 | + | 0.915097i | 0.471123 | + | 0.882068i | \(0.343849\pi\) |
−0.999454 | + | 0.0330294i | \(0.989484\pi\) | |||||||
\(758\) | −5.60015 | + | 3.23325i | −0.203407 | + | 0.117437i | ||||
\(759\) | −24.1705 | + | 24.1705i | −0.877335 | + | 0.877335i | ||||
\(760\) | −2.85756 | + | 10.6646i | −0.103655 | + | 0.386845i | ||||
\(761\) | −7.58218 | + | 28.2971i | −0.274854 | + | 1.02577i | 0.681086 | + | 0.732204i | \(0.261508\pi\) |
−0.955939 | + | 0.293564i | \(0.905159\pi\) | |||||||
\(762\) | −13.2542 | − | 13.2542i | −0.480149 | − | 0.480149i | ||||
\(763\) | −11.9841 | − | 4.51219i | −0.433855 | − | 0.163352i | ||||
\(764\) | −0.0607685 | − | 0.0350847i | −0.00219853 | − | 0.00126932i | ||||
\(765\) | −0.493829 | − | 1.84299i | −0.0178544 | − | 0.0666336i | ||||
\(766\) | −40.9907 | −1.48105 | ||||||||
\(767\) | −16.3065 | − | 4.63482i | −0.588793 | − | 0.167354i | ||||
\(768\) | − | 1.04531i | − | 0.0377194i | ||||||
\(769\) | −13.2029 | − | 49.2739i | −0.476109 | − | 1.77686i | −0.617136 | − | 0.786857i | \(-0.711707\pi\) |
0.141027 | − | 0.990006i | \(-0.454960\pi\) | |||||||
\(770\) | 14.5190 | − | 2.39526i | 0.523228 | − | 0.0863193i | ||||
\(771\) | −3.29597 | + | 1.90293i | −0.118701 | + | 0.0685323i | ||||
\(772\) | −0.757877 | − | 0.757877i | −0.0272766 | − | 0.0272766i | ||||
\(773\) | 7.92985 | + | 2.12480i | 0.285217 | + | 0.0764236i | 0.398591 | − | 0.917129i | \(-0.369499\pi\) |
−0.113374 | + | 0.993552i | \(0.536166\pi\) | |||||||
\(774\) | −6.54263 | − | 1.75309i | −0.235170 | − | 0.0630136i | ||||
\(775\) | −27.8683 | − | 27.8683i | −1.00106 | − | 1.00106i | ||||
\(776\) | −39.4552 | + | 22.7795i | −1.41636 | + | 0.817735i | ||||
\(777\) | −0.287445 | − | 1.74236i | −0.0103120 | − | 0.0625067i | ||||
\(778\) | −2.38565 | − | 8.90337i | −0.0855298 | − | 0.319201i | ||||
\(779\) | 44.5066i | 1.59461i | ||||||||
\(780\) | 0.0792597 | + | 0.0816950i | 0.00283795 | + | 0.00292515i | ||||
\(781\) | 85.3190 | 3.05295 | ||||||||
\(782\) | 6.20226 | + | 23.1471i | 0.221792 | + | 0.827740i | ||||
\(783\) | 0.520832 | + | 0.300703i | 0.0186130 | + | 0.0107462i | ||||
\(784\) | 9.18548 | + | 27.0814i | 0.328053 | + | 0.967193i | ||||
\(785\) | 0.321552 | + | 0.321552i | 0.0114767 | + | 0.0114767i | ||||
\(786\) | −2.57634 | + | 9.61504i | −0.0918951 | + | 0.342957i | ||||
\(787\) | 0.450270 | − | 1.68043i | 0.0160504 | − | 0.0599009i | −0.957436 | − | 0.288645i | \(-0.906795\pi\) |
0.973487 | + | 0.228744i | \(0.0734619\pi\) | |||||||
\(788\) | −0.152210 | + | 0.152210i | −0.00542225 | + | 0.00542225i | ||||
\(789\) | 3.49263 | − | 2.01647i | 0.124341 | − | 0.0717883i | ||||
\(790\) | −2.47085 | + | 4.27963i | −0.0879088 | + | 0.152262i | ||||
\(791\) | −29.1785 | − | 20.9144i | −1.03747 | − | 0.743632i | ||||
\(792\) | 15.0194i | 0.533692i | ||||||||
\(793\) | 26.5285 | + | 47.5975i | 0.942056 | + | 1.69024i | ||||
\(794\) | 42.5614i | 1.51045i | ||||||||
\(795\) | 0.197413 | − | 0.0528968i | 0.00700153 | − | 0.00187606i | ||||
\(796\) | −0.174244 | − | 0.100600i | −0.00617592 | − | 0.00356567i | ||||
\(797\) | −0.464274 | − | 0.804146i | −0.0164454 | − | 0.0284843i | 0.857686 | − | 0.514175i | \(-0.171902\pi\) |
−0.874131 | + | 0.485690i | \(0.838568\pi\) | |||||||
\(798\) | −20.5095 | − | 2.02256i | −0.726030 | − | 0.0715977i | ||||
\(799\) | 4.10478 | − | 15.3192i | 0.145217 | − | 0.541956i | ||||
\(800\) | 1.06533 | + | 0.285455i | 0.0376652 | + | 0.0100924i | ||||
\(801\) | −4.21638 | − | 4.21638i | −0.148979 | − | 0.148979i | ||||
\(802\) | 16.2822 | + | 28.2016i | 0.574944 | + | 0.995832i | ||||
\(803\) | −11.5563 | + | 20.0162i | −0.407814 | + | 0.706355i | ||||
\(804\) | 0.195300 | − | 0.0523305i | 0.00688770 | − | 0.00184555i | ||||
\(805\) | −9.43220 | + | 7.73887i | −0.332442 | + | 0.272759i | ||||
\(806\) | 38.9634 | + | 23.2885i | 1.37243 | + | 0.820303i | ||||
\(807\) | 6.96741 | 0.245264 | ||||||||
\(808\) | −12.1560 | − | 45.3666i | −0.427645 | − | 1.59599i | ||||
\(809\) | −27.3761 | + | 47.4168i | −0.962492 | + | 1.66709i | −0.246286 | + | 0.969197i | \(0.579210\pi\) |
−0.716207 | + | 0.697888i | \(0.754123\pi\) | |||||||
\(810\) | −0.517838 | − | 0.896921i | −0.0181950 | − | 0.0315146i | ||||
\(811\) | 15.2089 | − | 15.2089i | 0.534055 | − | 0.534055i | −0.387721 | − | 0.921777i | \(-0.626738\pi\) |
0.921777 | + | 0.387721i | \(0.126738\pi\) | |||||||
\(812\) | 0.0286074 | + | 0.0631586i | 0.00100392 | + | 0.00221643i | ||||
\(813\) | 8.12317 | + | 2.17660i | 0.284892 | + | 0.0763366i | ||||
\(814\) | 3.62322 | − | 3.62322i | 0.126994 | − | 0.126994i | ||||
\(815\) | 7.94143 | − | 4.58499i | 0.278176 | − | 0.160605i | ||||
\(816\) | 9.31754 | + | 5.37948i | 0.326179 | + | 0.188320i | ||||
\(817\) | −24.9385 | + | 6.68224i | −0.872487 | + | 0.233782i | ||||
\(818\) | 3.49748 | 0.122287 | ||||||||
\(819\) | 5.67410 | − | 7.66842i | 0.198269 | − | 0.267956i | ||||
\(820\) | −0.257857 | −0.00900474 | ||||||||
\(821\) | −25.5931 | + | 6.85765i | −0.893206 | + | 0.239334i | −0.676096 | − | 0.736814i | \(-0.736330\pi\) |
−0.217110 | + | 0.976147i | \(0.569663\pi\) | |||||||
\(822\) | 1.26865 | + | 0.732454i | 0.0442492 | + | 0.0255473i | ||||
\(823\) | 34.5953 | − | 19.9736i | 1.20592 | − | 0.696237i | 0.244053 | − | 0.969762i | \(-0.421523\pi\) |
0.961865 | + | 0.273525i | \(0.0881897\pi\) | |||||||
\(824\) | 1.90337 | − | 1.90337i | 0.0663071 | − | 0.0663071i | ||||
\(825\) | −23.2137 | − | 6.22008i | −0.808196 | − | 0.216555i | ||||
\(826\) | 7.33715 | + | 16.1987i | 0.255292 | + | 0.563626i | ||||
\(827\) | −16.8364 | + | 16.8364i | −0.585458 | + | 0.585458i | −0.936398 | − | 0.350940i | \(-0.885862\pi\) |
0.350940 | + | 0.936398i | \(0.385862\pi\) | |||||||
\(828\) | 0.138680 | + | 0.240202i | 0.00481948 | + | 0.00834758i | ||||
\(829\) | 1.41086 | − | 2.44368i | 0.0490011 | − | 0.0848724i | −0.840485 | − | 0.541836i | \(-0.817730\pi\) |
0.889486 | + | 0.456963i | \(0.151063\pi\) | |||||||
\(830\) | 0.918712 | + | 3.42868i | 0.0318890 | + | 0.119011i | ||||
\(831\) | −9.63277 | −0.334157 | ||||||||
\(832\) | 28.1856 | + | 0.426452i | 0.977162 | + | 0.0147846i | ||||
\(833\) | −18.0802 | − | 3.60099i | −0.626441 | − | 0.124767i | ||||
\(834\) | 21.6333 | − | 5.79663i | 0.749100 | − | 0.200721i | ||||
\(835\) | 5.40932 | − | 9.36922i | 0.187197 | − | 0.324235i | ||||
\(836\) | −0.637553 | − | 1.10427i | −0.0220502 | − | 0.0381921i | ||||
\(837\) | −6.22737 | − | 6.22737i | −0.215249 | − | 0.215249i | ||||
\(838\) | −26.9703 | − | 7.22666i | −0.931672 | − | 0.249641i | ||||
\(839\) | −3.56318 | + | 13.2980i | −0.123015 | + | 0.459097i | −0.999761 | − | 0.0218557i | \(-0.993043\pi\) |
0.876746 | + | 0.480953i | \(0.159709\pi\) | |||||||
\(840\) | −0.526113 | + | 5.33500i | −0.0181526 | + | 0.184075i | ||||
\(841\) | 14.3192 | + | 24.8015i | 0.493764 | + | 0.855224i | ||||
\(842\) | −26.0101 | − | 15.0169i | −0.896367 | − | 0.517517i | ||||
\(843\) | −13.4114 | + | 3.59357i | −0.461913 | + | 0.123769i | ||||
\(844\) | 0.295511i | 0.0101719i | ||||||||
\(845\) | −6.85816 | + | 6.45520i | −0.235928 | + | 0.222066i | ||||
\(846\) | − | 8.60869i | − | 0.295973i | ||||||
\(847\) | 27.4972 | − | 38.3624i | 0.944815 | − | 1.31815i | ||||
\(848\) | −0.576227 | + | 0.998054i | −0.0197877 | + | 0.0342733i | ||||
\(849\) | 1.58734 | − | 0.916453i | 0.0544775 | − | 0.0314526i | ||||
\(850\) | −11.9134 | + | 11.9134i | −0.408628 | + | 0.408628i | ||||
\(851\) | −1.09957 | + | 4.10365i | −0.0376927 | + | 0.140671i | ||||
\(852\) | 0.179178 | − | 0.668703i | 0.00613855 | − | 0.0229094i | ||||
\(853\) | 23.8704 | + | 23.8704i | 0.817307 | + | 0.817307i | 0.985717 | − | 0.168410i | \(-0.0538632\pi\) |
−0.168410 | + | 0.985717i | \(0.553863\pi\) | |||||||
\(854\) | 20.1415 | − | 53.4947i | 0.689227 | − | 1.83055i | ||||
\(855\) | −3.41879 | − | 1.97384i | −0.116920 | − | 0.0675038i | ||||
\(856\) | 8.63859 | + | 32.2396i | 0.295261 | + | 1.10193i | ||||
\(857\) | −10.9745 | −0.374882 | −0.187441 | − | 0.982276i | \(-0.560019\pi\) | ||||
−0.187441 | + | 0.982276i | \(0.560019\pi\) | |||||||
\(858\) | 27.6766 | + | 0.418750i | 0.944862 | + | 0.0142959i | ||||
\(859\) | − | 29.4072i | − | 1.00336i | −0.865053 | − | 0.501681i | \(-0.832715\pi\) | ||
0.865053 | − | 0.501681i | \(-0.167285\pi\) | |||||||
\(860\) | −0.0387147 | − | 0.144485i | −0.00132016 | − | 0.00492691i | ||||
\(861\) | 3.51760 | + | 21.3221i | 0.119879 | + | 0.726654i | ||||
\(862\) | −17.7795 | + | 10.2650i | −0.605572 | + | 0.349627i | ||||
\(863\) | −16.1604 | − | 16.1604i | −0.550105 | − | 0.550105i | 0.376366 | − | 0.926471i | \(-0.377173\pi\) |
−0.926471 | + | 0.376366i | \(0.877173\pi\) | |||||||
\(864\) | 0.238057 | + | 0.0637871i | 0.00809885 | + | 0.00217008i | ||||
\(865\) | 8.83204 | + | 2.36654i | 0.300298 | + | 0.0804647i | ||||
\(866\) | −36.8152 | − | 36.8152i | −1.25103 | − | 1.25103i | ||||
\(867\) | 8.71576 | − | 5.03204i | 0.296003 | − | 0.170897i | ||||
\(868\) | −0.165270 | − | 1.00179i | −0.00560962 | − | 0.0340029i | ||||
\(869\) | 6.63198 | + | 24.7509i | 0.224974 | + | 0.839616i | ||||
\(870\) | 0.622861i | 0.0211170i | ||||||||
\(871\) | 4.08503 | + | 16.2234i | 0.138416 | + | 0.549710i | ||||
\(872\) | 13.5364 | 0.458402 | ||||||||
\(873\) | −4.21610 | − | 15.7347i | −0.142693 | − | 0.532539i | ||||
\(874\) | 42.9384 | + | 24.7905i | 1.45241 | + | 0.838550i | ||||
\(875\) | −16.9971 | − | 6.39963i | −0.574606 | − | 0.216347i | ||||
\(876\) | 0.132611 | + | 0.132611i | 0.00448050 | + | 0.00448050i | ||||
\(877\) | −10.5333 | + | 39.3110i | −0.355686 | + | 1.32744i | 0.523934 | + | 0.851759i | \(0.324464\pi\) |
−0.879620 | + | 0.475678i | \(0.842203\pi\) | |||||||
\(878\) | 11.8494 | − | 44.2224i | 0.399896 | − | 1.49243i | ||||
\(879\) | 19.5941 | − | 19.5941i | 0.660893 | − | 0.660893i | ||||
\(880\) | −13.7649 | + | 7.94716i | −0.464014 | + | 0.267899i | ||||
\(881\) | −11.2270 | + | 19.4458i | −0.378248 | + | 0.655145i | −0.990807 | − | 0.135280i | \(-0.956807\pi\) |
0.612559 | + | 0.790425i | \(0.290140\pi\) | |||||||
\(882\) | −9.98549 | + | 0.652020i | −0.336229 | + | 0.0219547i | ||||
\(883\) | 0.128296i | 0.00431752i | 0.999998 | + | 0.00215876i | \(0.000687155\pi\) | ||||
−0.999998 | + | 0.00215876i | \(0.999313\pi\) | |||||||
\(884\) | 0.212284 | − | 0.355167i | 0.00713987 | − | 0.0119456i | ||||
\(885\) | 3.40633i | 0.114503i | ||||||||
\(886\) | −18.5374 | + | 4.96708i | −0.622776 | + | 0.166872i | ||||
\(887\) | 7.73247 | + | 4.46434i | 0.259631 | + | 0.149898i | 0.624166 | − | 0.781292i | \(-0.285439\pi\) |
−0.364535 | + | 0.931190i | \(0.618772\pi\) | |||||||
\(888\) | 0.933357 | + | 1.61662i | 0.0313214 | + | 0.0542503i | ||||
\(889\) | −34.5240 | − | 3.40459i | −1.15790 | − | 0.114186i | ||||
\(890\) | 1.59836 | − | 5.96517i | 0.0535772 | − | 0.199953i | ||||
\(891\) | −5.18727 | − | 1.38992i | −0.173780 | − | 0.0465642i | ||||
\(892\) | 0.596022 | + | 0.596022i | 0.0199563 | + | 0.0199563i | ||||
\(893\) | −16.4068 | − | 28.4175i | −0.549034 | − | 0.950954i | ||||
\(894\) | −8.44044 | + | 14.6193i | −0.282291 | + | 0.488942i | ||||
\(895\) | −7.64035 | + | 2.04722i | −0.255389 | + | 0.0684312i | ||||
\(896\) | −19.5834 | − | 23.8684i | −0.654234 | − | 0.797386i | ||||
\(897\) | −20.0464 | + | 11.1729i | −0.669330 | + | 0.373052i | ||||
\(898\) | −27.5104 | −0.918035 | ||||||||
\(899\) | 1.37083 | + | 5.11600i | 0.0457197 | + | 0.170628i | ||||
\(900\) | −0.0975020 | + | 0.168878i | −0.00325007 | + | 0.00562928i | ||||
\(901\) | −0.371472 | − | 0.643409i | −0.0123755 | − | 0.0214350i | ||||
\(902\) | −44.3391 | + | 44.3391i | −1.47633 | + | 1.47633i | ||||
\(903\) | −11.4193 | + | 5.17233i | −0.380011 | + | 0.172124i | ||||
\(904\) | 36.6561 | + | 9.82196i | 1.21916 | + | 0.326674i | ||||
\(905\) | −3.04352 | + | 3.04352i | −0.101170 | + | 0.101170i | ||||
\(906\) | 14.8838 | − | 8.59314i | 0.494480 | − | 0.285488i | ||||
\(907\) | −29.2036 | − | 16.8607i | −0.969690 | − | 0.559851i | −0.0705480 | − | 0.997508i | \(-0.522475\pi\) |
−0.899142 | + | 0.437658i | \(0.855808\pi\) | |||||||
\(908\) | 0.503969 | − | 0.135038i | 0.0167248 | − | 0.00448139i | ||||
\(909\) | 16.7932 | 0.556996 | ||||||||
\(910\) | 9.81623 | + | 1.11822i | 0.325405 | + | 0.0370687i | ||||
\(911\) | 12.1553 | 0.402724 | 0.201362 | − | 0.979517i | \(-0.435463\pi\) | ||||
0.201362 | + | 0.979517i | \(0.435463\pi\) | |||||||
\(912\) | 21.5018 | − | 5.76140i | 0.711997 | − | 0.190779i | ||||
\(913\) | 15.9399 | + | 9.20289i | 0.527533 | + | 0.304571i | ||||
\(914\) | −31.4059 | + | 18.1322i | −1.03882 | + | 0.599760i | ||||
\(915\) | 7.74226 | − | 7.74226i | 0.255951 | − | 0.255951i | ||||
\(916\) | −0.0449731 | − | 0.0120505i | −0.00148595 | − | 0.000398160i | ||||
\(917\) | 7.60125 | + | 16.7818i | 0.251015 | + | 0.554184i | ||||
\(918\) | −2.66215 | + | 2.66215i | −0.0878639 | + | 0.0878639i | ||||
\(919\) | 27.1965 | + | 47.1057i | 0.897129 | + | 1.55387i | 0.831148 | + | 0.556052i | \(0.187684\pi\) |
0.0659808 | + | 0.997821i | \(0.478982\pi\) | |||||||
\(920\) | 6.44857 | − | 11.1693i | 0.212603 | − | 0.368239i | ||||
\(921\) | 6.11597 | + | 22.8251i | 0.201528 | + | 0.752113i | ||||
\(922\) | 34.3355 | 1.13078 | ||||||||
\(923\) | 55.1001 | + | 15.6612i | 1.81364 | + | 0.515494i | ||||
\(924\) | −0.392714 | − | 0.478643i | −0.0129193 | − | 0.0157462i | ||||
\(925\) | −2.88515 | + | 0.773073i | −0.0948631 | + | 0.0254185i | ||||
\(926\) | −1.98617 | + | 3.44016i | −0.0652698 | + | 0.113051i | ||||
\(927\) | 0.481227 | + | 0.833510i | 0.0158056 | + | 0.0273761i | ||||
\(928\) | −0.104807 | − | 0.104807i | −0.00344045 | − | 0.00344045i | ||||
\(929\) | 11.3587 | + | 3.04356i | 0.372667 | + | 0.0998559i | 0.440291 | − | 0.897855i | \(-0.354875\pi\) |
−0.0676240 | + | 0.997711i | \(0.521542\pi\) | |||||||
\(930\) | 2.36069 | − | 8.81023i | 0.0774102 | − | 0.288899i | ||||
\(931\) | −31.7197 | + | 21.1831i | −1.03957 | + | 0.694249i | ||||
\(932\) | −0.354308 | − | 0.613679i | −0.0116057 | − | 0.0201017i | ||||
\(933\) | −1.63454 | − | 0.943701i | −0.0535124 | − | 0.0308954i | ||||
\(934\) | −1.46019 | + | 0.391257i | −0.0477789 | + | 0.0128023i | ||||
\(935\) | − | 10.2465i | − | 0.335096i | ||||||
\(936\) | −2.75697 | + | 9.69974i | −0.0901144 | + | 0.317046i | ||||
\(937\) | − | 23.7187i | − | 0.774857i | −0.921900 | − | 0.387428i | \(-0.873363\pi\) | ||
0.921900 | − | 0.387428i | \(-0.126637\pi\) | |||||||
\(938\) | 10.2239 | − | 14.2638i | 0.333823 | − | 0.465729i | ||||
\(939\) | −2.36986 | + | 4.10472i | −0.0773375 | + | 0.133953i | ||||
\(940\) | 0.164641 | − | 0.0950558i | 0.00537001 | − | 0.00310038i | ||||
\(941\) | −8.77975 | + | 8.77975i | −0.286212 | + | 0.286212i | −0.835580 | − | 0.549368i | \(-0.814868\pi\) |
0.549368 | + | 0.835580i | \(0.314868\pi\) | |||||||
\(942\) | 0.232236 | − | 0.866715i | 0.00756665 | − | 0.0282391i | ||||
\(943\) | 13.4559 | − | 50.2183i | 0.438186 | − | 1.63533i | ||||
\(944\) | −13.5820 | − | 13.5820i | −0.442055 | − | 0.442055i | ||||
\(945\) | −1.79386 | − | 0.675414i | −0.0583544 | − | 0.0219712i | ||||
\(946\) | −31.5017 | − | 18.1875i | −1.02421 | − | 0.591327i | ||||
\(947\) | −3.45357 | − | 12.8889i | −0.112226 | − | 0.418833i | 0.886838 | − | 0.462080i | \(-0.152897\pi\) |
−0.999064 | + | 0.0432464i | \(0.986230\pi\) | |||||||
\(948\) | 0.207917 | 0.00675284 | ||||||||
\(949\) | −11.1374 | + | 10.8054i | −0.361535 | + | 0.350758i | ||||
\(950\) | 34.8589i | 1.13097i | ||||||||
\(951\) | 4.40475 | + | 16.4388i | 0.142834 | + | 0.533063i | ||||
\(952\) | 19.2277 | − | 3.17209i | 0.623175 | − | 0.102808i | ||||
\(953\) | 2.94104 | − | 1.69801i | 0.0952697 | − | 0.0550040i | −0.451608 | − | 0.892216i | \(-0.649150\pi\) |
0.546878 | + | 0.837212i | \(0.315816\pi\) | |||||||
\(954\) | −0.285158 | − | 0.285158i | −0.00923232 | − | 0.00923232i | ||||
\(955\) | −1.12689 | − | 0.301949i | −0.0364653 | − | 0.00977085i | ||||
\(956\) | 0.903553 | + | 0.242106i | 0.0292230 | + | 0.00783028i | ||||
\(957\) | 2.28374 | + | 2.28374i | 0.0738229 | + | 0.0738229i | ||||
\(958\) | 6.24537 | − | 3.60577i | 0.201779 | − | 0.116497i | ||||
\(959\) | 2.67506 | − | 0.441316i | 0.0863821 | − | 0.0142508i | ||||
\(960\) | −1.46599 | − | 5.47114i | −0.0473146 | − | 0.176580i | ||||
\(961\) | − | 46.5603i | − | 1.50195i | ||||||
\(962\) | 3.00500 | − | 1.67484i | 0.0968851 | − | 0.0539991i | ||||
\(963\) | −11.9341 | −0.384569 | ||||||||
\(964\) | 0.144396 | + | 0.538894i | 0.00465069 | + | 0.0173566i | ||||
\(965\) | −15.4324 | − | 8.90992i | −0.496788 | − | 0.286820i | ||||
\(966\) | 22.5301 | + | 8.48289i | 0.724894 | + | 0.272932i | ||||
\(967\) | −32.6551 | − | 32.6551i | −1.05012 | − | 1.05012i | −0.998676 | − | 0.0514398i | \(-0.983619\pi\) |
−0.0514398 | − | 0.998676i | \(-0.516381\pi\) | |||||||
\(968\) | −12.9134 | + | 48.1935i | −0.415052 | + | 1.54900i | ||||
\(969\) | −3.71416 | + | 13.8614i | −0.119316 | + | 0.445294i | ||||
\(970\) | 11.9295 | − | 11.9295i | 0.383034 | − | 0.383034i | ||||
\(971\) | −8.75213 | + | 5.05305i | −0.280869 | + | 0.162160i | −0.633817 | − | 0.773483i | \(-0.718513\pi\) |
0.352948 | + | 0.935643i | \(0.385179\pi\) | |||||||
\(972\) | −0.0217876 | + | 0.0377371i | −0.000698836 | + | 0.00121042i | ||||
\(973\) | 24.1483 | − | 33.6902i | 0.774159 | − | 1.08006i | ||||
\(974\) | 4.00629i | 0.128370i | ||||||||
\(975\) | −13.8499 | − | 8.27812i | −0.443552 | − | 0.265112i | ||||
\(976\) | 61.7409i | 1.97628i | ||||||||
\(977\) | 57.0790 | − | 15.2943i | 1.82612 | − | 0.489307i | 0.828608 | − | 0.559829i | \(-0.189133\pi\) |
0.997510 | + | 0.0705222i | \(0.0224666\pi\) | |||||||
\(978\) | −15.6699 | − | 9.04701i | −0.501068 | − | 0.289292i | ||||
\(979\) | −16.0111 | − | 27.7320i | −0.511716 | − | 0.886317i | ||||
\(980\) | −0.122728 | − | 0.183773i | −0.00392041 | − | 0.00587042i | ||||
\(981\) | −1.25269 | + | 4.67509i | −0.0399952 | + | 0.149264i | ||||
\(982\) | 17.1845 | + | 4.60458i | 0.548380 | + | 0.146938i | ||||
\(983\) | 32.3474 | + | 32.3474i | 1.03172 | + | 1.03172i | 0.999480 | + | 0.0322405i | \(0.0102642\pi\) |
0.0322405 | + | 0.999480i | \(0.489736\pi\) | |||||||
\(984\) | −11.4219 | − | 19.7834i | −0.364118 | − | 0.630671i | ||||
\(985\) | −1.78944 | + | 3.09940i | −0.0570164 | + | 0.0987552i | ||||
\(986\) | 2.18705 | − | 0.586018i | 0.0696498 | − | 0.0186626i | ||||
\(987\) | −10.1061 | − | 12.3174i | −0.321681 | − | 0.392068i | ||||
\(988\) | −0.209039 | − | 0.830184i | −0.00665041 | − | 0.0264117i | ||||
\(989\) | 30.1592 | 0.959007 | ||||||||
\(990\) | −1.43951 | − | 5.37233i | −0.0457506 | − | 0.170744i | ||||
\(991\) | −1.26677 | + | 2.19411i | −0.0402402 | + | 0.0696981i | −0.885444 | − | 0.464746i | \(-0.846146\pi\) |
0.845204 | + | 0.534444i | \(0.179479\pi\) | |||||||
\(992\) | 1.08524 | + | 1.87969i | 0.0344565 | + | 0.0596803i | ||||
\(993\) | −12.2792 | + | 12.2792i | −0.389670 | + | 0.389670i | ||||
\(994\) | −24.7924 | − | 54.7360i | −0.786368 | − | 1.73612i | ||||
\(995\) | −3.23118 | − | 0.865793i | −0.102435 | − | 0.0274475i | ||||
\(996\) | 0.105605 | − | 0.105605i | 0.00334621 | − | 0.00334621i | ||||
\(997\) | −10.4694 | + | 6.04452i | −0.331570 | + | 0.191432i | −0.656538 | − | 0.754293i | \(-0.727980\pi\) |
0.324968 | + | 0.945725i | \(0.394646\pi\) | |||||||
\(998\) | 10.9250 | + | 6.30755i | 0.345825 | + | 0.199662i | ||||
\(999\) | −0.644708 | + | 0.172749i | −0.0203977 | + | 0.00546554i |
(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 | 273.2.by.d.202.3 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.e.748.6 | 32 | |||
7.6 | odd | 2 | 273.2.by.c.202.3 | ✓ | 32 | ||
13.2 | odd | 12 | 273.2.by.c.223.3 | yes | 32 | ||
21.20 | even | 2 | 819.2.fm.f.748.6 | 32 | |||
39.2 | even | 12 | 819.2.fm.f.496.6 | 32 | |||
91.41 | even | 12 | inner | 273.2.by.d.223.3 | yes | 32 | |
273.41 | odd | 12 | 819.2.fm.e.496.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.202.3 | ✓ | 32 | 7.6 | odd | 2 | ||
273.2.by.c.223.3 | yes | 32 | 13.2 | odd | 12 | ||
273.2.by.d.202.3 | yes | 32 | 1.1 | even | 1 | trivial | |
273.2.by.d.223.3 | yes | 32 | 91.41 | even | 12 | inner | |
819.2.fm.e.496.6 | 32 | 273.41 | odd | 12 | |||
819.2.fm.e.748.6 | 32 | 3.2 | odd | 2 | |||
819.2.fm.f.496.6 | 32 | 39.2 | even | 12 | |||
819.2.fm.f.748.6 | 32 | 21.20 | even | 2 |