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 | 223.3 | ||
Character | \(\chi\) | \(=\) | 273.223 |
Dual form | 273.2.by.c.202.3 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(-1\) |
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 | −0.264867 | − | 0.964285i | \(-0.585328\pi\) |
−0.711524 | + | 0.702661i | \(0.751995\pi\) | |||||||
\(3\) | −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 | \(-0.301794\pi\) |
−0.812317 | + | 0.583216i | \(0.801794\pi\) | |||||||
\(6\) | 1.38083 | − | 0.369991i | 0.563720 | − | 0.151048i | ||||
\(7\) | −1.54136 | + | 2.15040i | −0.582578 | + | 0.812775i | ||||
\(8\) | 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 | −0.357447 | − | 0.933933i | \(-0.616353\pi\) |
0.776525 | − | 0.630086i | \(-0.216981\pi\) | |||||||
\(12\) | −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 | \(-0.729861\pi\) |
0.980357 | + | 0.197230i | \(0.0631946\pi\) | |||||||
\(18\) | −1.01084 | + | 1.01084i | −0.238256 | + | 0.238256i | ||||
\(19\) | 5.26328 | − | 1.41029i | 1.20748 | − | 0.323543i | 0.401707 | − | 0.915768i | \(-0.368417\pi\) |
0.805773 | + | 0.592225i | \(0.201750\pi\) | |||||||
\(20\) | −0.00817077 | − | 0.0304937i | −0.00182704 | − | 0.00681861i | ||||
\(21\) | 0.259652 | − | 2.63298i | 0.0566608 | − | 0.574563i | ||||
\(22\) | −3.83849 | + | 6.64846i | −0.818368 | + | 1.41746i | ||||
\(23\) | 5.51236 | − | 3.18256i | 1.14941 | − | 0.663610i | 0.200663 | − | 0.979660i | \(-0.435690\pi\) |
0.948742 | + | 0.316051i | \(0.102357\pi\) | |||||||
\(24\) | −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 | ||||||||
\(28\) | −0.105018 | + | 0.0475676i | −0.0198466 | + | 0.00898944i | ||||
\(29\) | 0.300703 | + | 0.520832i | 0.0558391 | + | 0.0967161i | 0.892594 | − | 0.450862i | \(-0.148883\pi\) |
−0.836755 | + | 0.547578i | \(0.815550\pi\) | |||||||
\(30\) | −0.896921 | − | 0.517838i | −0.163755 | − | 0.0945438i | ||||
\(31\) | 6.22737 | + | 6.22737i | 1.11847 | + | 1.11847i | 0.991966 | + | 0.126503i | \(0.0403752\pi\) |
0.126503 | + | 0.991966i | \(0.459625\pi\) | |||||||
\(32\) | 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 | ||||
\(35\) | 1.89124 | − | 0.312006i | 0.319678 | − | 0.0527387i | ||||
\(36\) | 0.0377371 | − | 0.0217876i | 0.00628952 | − | 0.00363126i | ||||
\(37\) | 0.172749 | − | 0.644708i | 0.0283998 | − | 0.105989i | −0.950271 | − | 0.311424i | \(-0.899194\pi\) |
0.978671 | + | 0.205435i | \(0.0658608\pi\) | |||||||
\(38\) | −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 | −0.578876 | − | 0.815416i | \(-0.696508\pi\) |
0.909029 | − | 0.416733i | \(-0.136825\pi\) | |||||||
\(42\) | −1.33271 | + | 3.53962i | −0.205642 | + | 0.546175i | ||||
\(43\) | 4.10340 | + | 2.36910i | 0.625762 | + | 0.361284i | 0.779109 | − | 0.626888i | \(-0.215672\pi\) |
−0.153347 | + | 0.988172i | \(0.549005\pi\) | |||||||
\(44\) | 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 | \(-0.894738\pi\) |
0.324695 | + | 0.945819i | \(0.394738\pi\) | |||||||
\(48\) | 3.53793 | + | 2.04263i | 0.510656 | + | 0.294828i | ||||
\(49\) | −2.24845 | − | 6.62906i | −0.321207 | − | 0.947009i | ||||
\(50\) | −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 | ||||
\(56\) | −7.30090 | + | 1.20446i | −0.975624 | + | 0.160953i | ||||
\(57\) | −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 | 0.998787 | + | 0.0492295i | \(0.0156766\pi\) |
−0.840361 | + | 0.542028i | \(0.817657\pi\) | |||||||
\(60\) | 0.0223230 | + | 0.0223230i | 0.00288188 | + | 0.00288188i | ||||
\(61\) | −13.0884 | − | 7.55656i | −1.67579 | − | 0.967519i | −0.964295 | − | 0.264829i | \(-0.914684\pi\) |
−0.711497 | − | 0.702690i | \(-0.751982\pi\) | |||||||
\(62\) | −6.29485 | − | 10.9030i | −0.799446 | − | 1.38468i | ||||
\(63\) | 1.09162 | + | 2.41005i | 0.137532 | + | 0.303638i | ||||
\(64\) | 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 | 0.521982 | − | 0.852957i | \(-0.325193\pi\) |
0.0255714 | + | 0.999673i | \(0.491859\pi\) | |||||||
\(68\) | 0.0993850 | − | 0.0573799i | 0.0120522 | − | 0.00695834i | ||||
\(69\) | −3.18256 | + | 5.51236i | −0.383135 | + | 0.663610i | ||||
\(70\) | −2.72691 | − | 0.268916i | −0.325928 | − | 0.0321416i | ||||
\(71\) | 4.11194 | + | 15.3460i | 0.487998 | + | 1.82123i | 0.566165 | + | 0.824292i | \(0.308427\pi\) |
−0.0781668 | + | 0.996940i | \(0.524907\pi\) | |||||||
\(72\) | 2.70148 | − | 0.723860i | 0.318373 | − | 0.0853077i | ||||
\(73\) | −3.04327 | + | 3.04327i | −0.356188 | + | 0.356188i | −0.862406 | − | 0.506218i | \(-0.831043\pi\) |
0.506218 | + | 0.862406i | \(0.331043\pi\) | |||||||
\(74\) | −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 | \(-0.310233\pi\) |
−0.827492 | + | 0.561477i | \(0.810233\pi\) | |||||||
\(84\) | 0.0671647 | − | 0.0937039i | 0.00732827 | − | 0.0102239i | ||||
\(85\) | −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 | \(-0.314316\pi\) |
0.0597085 | + | 0.998216i | \(0.480983\pi\) | |||||||
\(90\) | 1.03568 | 0.109170 | ||||||||
\(91\) | −7.83657 | − | 5.43950i | −0.821496 | − | 0.570215i | ||||
\(92\) | 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 | \(-0.273386\pi\) |
0.944322 | + | 0.329022i | \(0.106719\pi\) | |||||||
\(98\) | 0.652020 | + | 9.98549i | 0.0658640 | + | 1.00869i | ||||
\(99\) | −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 | −0.893627 | − | 0.448810i | \(-0.851848\pi\) |
0.0581328 | − | 0.998309i | \(-0.481485\pi\) | |||||||
\(102\) | 0.974413 | − | 3.63656i | 0.0964813 | − | 0.360073i | ||||
\(103\) | −0.962454 | −0.0948334 | −0.0474167 | − | 0.998875i | \(-0.515099\pi\) | ||||
−0.0474167 | + | 0.998875i | \(0.515099\pi\) | |||||||
\(104\) | −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 | −0.995837 | − | 0.0911468i | \(-0.970947\pi\) |
0.418983 | − | 0.907994i | \(-0.362387\pi\) | |||||||
\(108\) | −0.0217876 | + | 0.0377371i | −0.00209651 | + | 0.00363126i | ||||
\(109\) | 3.42240 | − | 3.42240i | 0.327807 | − | 0.327807i | −0.523945 | − | 0.851752i | \(-0.675540\pi\) |
0.851752 | + | 0.523945i | \(0.175540\pi\) | |||||||
\(110\) | 5.37233 | − | 1.43951i | 0.512231 | − | 0.137252i | ||||
\(111\) | 0.172749 | + | 0.644708i | 0.0163966 | + | 0.0611930i | ||||
\(112\) | 10.7564 | + | 1.06075i | 1.01638 | + | 0.100231i | ||||
\(113\) | 6.78443 | − | 11.7510i | 0.638226 | − | 1.10544i | −0.347596 | − | 0.937644i | \(-0.613002\pi\) |
0.985822 | − | 0.167795i | \(-0.0536647\pi\) | |||||||
\(114\) | 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 | ||||||
\(119\) | 2.87491 | + | 6.34714i | 0.263543 | + | 0.581842i | ||||
\(120\) | 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 | ||||
\(126\) | −0.615645 | − | 3.73176i | −0.0548460 | − | 0.332451i | ||||
\(127\) | 11.3554 | − | 6.55606i | 1.00763 | − | 0.581757i | 0.0971344 | − | 0.995271i | \(-0.469032\pi\) |
0.910497 | + | 0.413515i | \(0.135699\pi\) | |||||||
\(128\) | 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 | ||||
\(133\) | −5.07990 | + | 13.4919i | −0.440483 | + | 1.16990i | ||||
\(134\) | −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 | −0.300854 | − | 0.953670i | \(-0.597272\pi\) |
0.216288 | + | 0.976330i | \(0.430605\pi\) | |||||||
\(138\) | 6.43409 | − | 6.43409i | 0.547706 | − | 0.547706i | ||||
\(139\) | 13.5680 | + | 7.83346i | 1.15082 | + | 0.664426i | 0.949087 | − | 0.315015i | \(-0.102010\pi\) |
0.201732 | + | 0.979441i | \(0.435343\pi\) | |||||||
\(140\) | 0.0781678 | + | 0.0294312i | 0.00660639 | + | 0.00248739i | ||||
\(141\) | 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 | ||||
\(147\) | 5.26174 | + | 4.61671i | 0.433981 | + | 0.380780i | ||||
\(148\) | 0.0205657 | − | 0.0205657i | 0.00169049 | − | 0.00169049i | ||||
\(149\) | 3.05630 | + | 11.4063i | 0.250382 | + | 0.934438i | 0.970602 | + | 0.240692i | \(0.0773743\pi\) |
−0.720220 | + | 0.693746i | \(0.755959\pi\) | |||||||
\(150\) | −1.65576 | − | 6.17937i | −0.135192 | − | 0.504543i | ||||
\(151\) | −8.50103 | − | 8.50103i | −0.691804 | − | 0.691804i | 0.270825 | − | 0.962629i | \(-0.412704\pi\) |
−0.962629 | + | 0.270825i | \(0.912704\pi\) | |||||||
\(152\) | 13.1978 | + | 7.61976i | 1.07048 | + | 0.618044i | ||||
\(153\) | −1.31681 | − | 2.28077i | −0.106457 | − | 0.184390i | ||||
\(154\) | −8.38037 | − | 18.5019i | −0.675310 | − | 1.49093i | ||||
\(155\) | − | 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 | ||||
\(161\) | −1.65272 | + | 16.7592i | −0.130252 | + | 1.32081i | ||||
\(162\) | 0.369991 | + | 1.38083i | 0.0290693 | + | 0.108488i | ||||
\(163\) | 12.2260 | − | 3.27594i | 0.957613 | − | 0.256592i | 0.254023 | − | 0.967198i | \(-0.418246\pi\) |
0.703590 | + | 0.710607i | \(0.251579\pi\) | |||||||
\(164\) | 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 | \(-0.612744\pi\) |
−0.769332 | + | 0.638849i | \(0.779411\pi\) | |||||||
\(168\) | 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 | \(-0.992614\pi\) |
0.519958 | + | 0.854192i | \(0.325948\pi\) | |||||||
\(174\) | 0.607922 | + | 0.607922i | 0.0460864 | + | 0.0460864i | ||||
\(175\) | 9.62331 | + | 6.89776i | 0.727454 | + | 0.521421i | ||||
\(176\) | −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 | −0.809844 | − | 0.586645i | \(-0.800448\pi\) |
0.103128 | + | 0.994668i | \(0.467115\pi\) | |||||||
\(180\) | −0.0304937 | − | 0.00817077i | −0.00227287 | − | 0.000609013i | ||||
\(181\) | 5.94105 | 0.441595 | 0.220797 | − | 0.975320i | \(-0.429134\pi\) | ||||
0.220797 | + | 0.975320i | \(0.429134\pi\) | |||||||
\(182\) | 8.80837 | + | 10.4105i | 0.652920 | + | 0.771676i | ||||
\(183\) | 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 | ||||
\(189\) | −2.15040 | − | 1.54136i | −0.156419 | − | 0.112117i | ||||
\(190\) | 3.99045 | + | 3.99045i | 0.289498 | + | 0.289498i | ||||
\(191\) | −0.805155 | + | 1.39457i | −0.0582590 | + | 0.100907i | −0.893684 | − | 0.448697i | \(-0.851888\pi\) |
0.835425 | + | 0.549604i | \(0.185222\pi\) | |||||||
\(192\) | −3.90909 | − | 6.77075i | −0.282115 | − | 0.488637i | ||||
\(193\) | −6.36607 | + | 23.7585i | −0.458240 | + | 1.71017i | 0.220144 | + | 0.975467i | \(0.429347\pi\) |
−0.678384 | + | 0.734707i | \(0.737319\pi\) | |||||||
\(194\) | −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 | 0.0847991 | − | 0.996398i | \(-0.472975\pi\) |
−0.424761 | + | 0.905306i | \(0.639642\pi\) | |||||||
\(198\) | 3.83849 | + | 6.64846i | 0.272789 | + | 0.472485i | ||||
\(199\) | 2.30866 | − | 3.99871i | 0.163656 | − | 0.283461i | −0.772521 | − | 0.634989i | \(-0.781005\pi\) |
0.936177 | + | 0.351528i | \(0.114338\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | −1.58349 | − | 0.156156i | −0.111139 | − | 0.0109600i | ||||
\(204\) | −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 | ||||||
\(210\) | 2.49603 | − | 1.13057i | 0.172243 | − | 0.0780166i | ||||
\(211\) | −3.39083 | − | 5.87308i | −0.233434 | − | 0.404320i | 0.725382 | − | 0.688346i | \(-0.241663\pi\) |
−0.958816 | + | 0.284026i | \(0.908330\pi\) | |||||||
\(212\) | 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 | ||||
\(217\) | −22.9899 | + | 3.79275i | −1.56066 | + | 0.257469i | ||||
\(218\) | −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 | 0.568326 | + | 0.822803i | \(0.307591\pi\) |
−0.903587 | + | 0.428406i | \(0.859075\pi\) | |||||||
\(224\) | −0.610236 | − | 0.229762i | −0.0407731 | − | 0.0153516i | ||||
\(225\) | −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 | \(-0.713405\pi\) |
−0.146306 | + | 0.989239i | \(0.546738\pi\) | |||||||
\(228\) | −0.229348 | + | 0.0614536i | −0.0151889 | + | 0.00406987i | ||||
\(229\) | 0.755536 | − | 0.755536i | 0.0499272 | − | 0.0499272i | −0.681702 | − | 0.731630i | \(-0.738760\pi\) |
0.731630 | + | 0.681702i | \(0.238760\pi\) | |||||||
\(230\) | 5.70901 | + | 3.29610i | 0.376441 | + | 0.217338i | ||||
\(231\) | −13.2971 | − | 5.00653i | −0.874883 | − | 0.329405i | ||||
\(232\) | −0.435333 | + | 1.62469i | −0.0285810 | + | 0.106666i | ||||
\(233\) | 16.2619i | 1.06535i | 0.846318 | + | 0.532677i | \(0.178814\pi\) | ||||
−0.846318 | + | 0.532677i | \(0.821186\pi\) | |||||||
\(234\) | −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 | ||||
\(238\) | −1.62137 | − | 9.82800i | −0.105098 | − | 0.637054i | ||||
\(239\) | 15.1795 | − | 15.1795i | 0.981878 | − | 0.981878i | −0.0179604 | − | 0.999839i | \(-0.505717\pi\) |
0.999839 | + | 0.0179604i | \(0.00571728\pi\) | |||||||
\(240\) | −0.766026 | − | 2.85885i | −0.0494468 | − | 0.184538i | ||||
\(241\) | 3.31373 | + | 12.3670i | 0.213456 | + | 0.796630i | 0.986704 | + | 0.162526i | \(0.0519642\pi\) |
−0.773248 | + | 0.634104i | \(0.781369\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | −2.24413 | + | 4.54783i | −0.143372 | + | 0.290550i | ||||
\(246\) | − | 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 | \(-0.759959\pi\) |
0.957356 | + | 0.288910i | \(0.0932928\pi\) | |||||||
\(252\) | −0.0113144 | + | 0.114732i | −0.000712739 | + | 0.00722746i | ||||
\(253\) | −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 | \(-0.128794\pi\) |
−0.800552 | + | 0.599263i | \(0.795460\pi\) | |||||||
\(258\) | 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 | 0.921475 | − | 0.388437i | \(-0.126985\pi\) |
−0.797134 | + | 0.603802i | \(0.793652\pi\) | |||||||
\(264\) | −7.50971 | + | 13.0072i | −0.462191 | + | 0.800538i | ||||
\(265\) | −0.144517 | − | 0.144517i | −0.00887759 | − | 0.00887759i | ||||
\(266\) | 12.0064 | − | 16.7505i | 0.736157 | − | 1.02704i | ||||
\(267\) | −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 | \(-0.401463\pi\) |
−0.672539 | + | 0.740062i | \(0.734796\pi\) | |||||||
\(270\) | −0.896921 | + | 0.517838i | −0.0545849 | + | 0.0315146i | ||||
\(271\) | −8.12317 | − | 2.17660i | −0.493447 | − | 0.132219i | 0.00350987 | − | 0.999994i | \(-0.498883\pi\) |
−0.496957 | + | 0.867775i | \(0.665549\pi\) | |||||||
\(272\) | −10.7590 | −0.652358 | ||||||||
\(273\) | 9.50642 | + | 0.792464i | 0.575355 | + | 0.0479621i | ||||
\(274\) | 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 | 0.227988 | − | 0.973664i | \(-0.426785\pi\) |
−0.729224 | + | 0.684275i | \(0.760119\pi\) | |||||||
\(278\) | −15.8367 | − | 15.8367i | −0.949821 | − | 0.949821i | ||||
\(279\) | 8.50675 | − | 2.27938i | 0.509286 | − | 0.136463i | ||||
\(280\) | 4.35719 | + | 3.12313i | 0.260392 | + | 0.186643i | ||||
\(281\) | −9.81783 | − | 9.81783i | −0.585683 | − | 0.585683i | 0.350777 | − | 0.936459i | \(-0.385918\pi\) |
−0.936459 | + | 0.350777i | \(0.885918\pi\) | |||||||
\(282\) | −4.30435 | + | 7.45535i | −0.256320 | + | 0.443959i | ||||
\(283\) | −0.916453 | − | 1.58734i | −0.0544775 | − | 0.0943578i | 0.837501 | − | 0.546436i | \(-0.184016\pi\) |
−0.891978 | + | 0.452079i | \(0.850683\pi\) | |||||||
\(284\) | −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 | −0.776709 | − | 0.629860i | \(-0.783112\pi\) |
0.357719 | − | 0.933829i | \(-0.383554\pi\) | |||||||
\(294\) | −5.55741 | − | 8.32168i | −0.324115 | − | 0.485330i | ||||
\(295\) | 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 | ||||||||
\(301\) | −11.4193 | + | 5.17233i | −0.658198 | + | 0.298128i | ||||
\(302\) | 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 | \(-0.985566\pi\) |
0.0453311 | + | 0.998972i | \(0.485566\pi\) | |||||||
\(308\) | 0.100779 | + | 0.610873i | 0.00574239 | + | 0.0348077i | ||||
\(309\) | 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 | \(-0.482958\pi\) | ||||
0.0535124 | + | 0.998567i | \(0.482958\pi\) | |||||||
\(312\) | 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 | ||||
\(315\) | 0.675414 | − | 1.79386i | 0.0380553 | − | 0.101073i | ||||
\(316\) | 0.180062 | + | 0.103959i | 0.0101293 | + | 0.00584813i | ||||
\(317\) | 12.0340 | − | 12.0340i | 0.675897 | − | 0.675897i | −0.283172 | − | 0.959069i | \(-0.591387\pi\) |
0.959069 | + | 0.283172i | \(0.0913868\pi\) | |||||||
\(318\) | 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 | ||||
\(322\) | 8.48289 | − | 22.5301i | 0.472733 | − | 1.25555i | ||||
\(323\) | 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 | ||||
\(329\) | −2.59344 | − | 15.7203i | −0.142981 | − | 0.866686i | ||||
\(330\) | −3.93281 | + | 3.93281i | −0.216494 | + | 0.216494i | ||||
\(331\) | −4.49452 | − | 16.7738i | −0.247041 | − | 0.921969i | −0.972347 | − | 0.233542i | \(-0.924968\pi\) |
0.725306 | − | 0.688427i | \(-0.241698\pi\) | |||||||
\(332\) | −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 | ||||
\(336\) | −9.84567 | + | 4.45956i | −0.537126 | + | 0.243289i | ||||
\(337\) | 10.9597i | 0.597011i | 0.954408 | + | 0.298506i | \(0.0964882\pi\) | ||||
−0.954408 | + | 0.298506i | \(0.903512\pi\) | |||||||
\(338\) | 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 | ||||
\(343\) | 17.7208 | + | 5.38268i | 0.956833 | + | 0.290637i | ||||
\(344\) | 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 | −0.892816 | − | 0.450421i | \(-0.851274\pi\) |
0.836484 | + | 0.547991i | \(0.184607\pi\) | |||||||
\(348\) | −0.0131032 | − | 0.0226953i | −0.000702403 | − | 0.00121660i | ||||
\(349\) | 4.33364 | + | 1.16119i | 0.231974 | + | 0.0621573i | 0.372933 | − | 0.927858i | \(-0.378352\pi\) |
−0.140959 | + | 0.990015i | \(0.545019\pi\) | |||||||
\(350\) | −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 | 0.800946 | + | 0.598736i | \(0.204330\pi\) |
−0.993008 | + | 0.118047i | \(0.962337\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | −5.66332 | − | 4.05933i | −0.299735 | − | 0.214843i | ||||
\(358\) | 15.0758 | − | 4.03954i | 0.796780 | − | 0.213497i | ||||
\(359\) | 14.5777 | + | 14.5777i | 0.769383 | + | 0.769383i | 0.977998 | − | 0.208615i | \(-0.0668956\pi\) |
−0.208615 | + | 0.977998i | \(0.566896\pi\) | |||||||
\(360\) | −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 | ||||||||
\(364\) | −0.177216 | − | 0.376011i | −0.00928866 | − | 0.0197083i | ||||
\(365\) | 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 | \(-0.725821\pi\) |
0.331374 | + | 0.943500i | \(0.392488\pi\) | |||||||
\(368\) | −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 | ||||
\(371\) | −0.434818 | + | 0.606630i | −0.0225746 | + | 0.0314947i | ||||
\(372\) | −0.271358 | − | 0.271358i | −0.0140693 | − | 0.0140693i | ||||
\(373\) | −8.61866 | + | 14.9280i | −0.446257 | + | 0.772941i | −0.998139 | − | 0.0609820i | \(-0.980577\pi\) |
0.551881 | + | 0.833923i | \(0.313910\pi\) | |||||||
\(374\) | 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 | 0.369286 | − | 0.929316i | \(-0.379602\pi\) |
−0.144847 | + | 0.989454i | \(0.546269\pi\) | |||||||
\(380\) | −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 | \(-0.845022\pi\) |
−0.531456 | + | 0.847086i | \(0.678355\pi\) | |||||||
\(384\) | 3.02024 | + | 11.2717i | 0.154126 | + | 0.575205i | ||||
\(385\) | 1.01022 | − | 10.2440i | 0.0514855 | − | 0.522084i | ||||
\(386\) | 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 | \(-0.947735\pi\) | ||
0.986550 | − | 0.163460i | \(-0.0522654\pi\) | |||||||
\(390\) | 1.81795 | − | 3.26177i | 0.0920556 | − | 0.165166i | ||||
\(391\) | − | 16.7633i | − | 0.847754i | ||||||
\(392\) | 8.66321 | − | 17.5564i | 0.437558 | − | 0.886731i | ||||
\(393\) | 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 | −0.835403 | − | 0.549638i | \(-0.814766\pi\) |
0.448661 | − | 0.893702i | \(-0.351901\pi\) | |||||||
\(398\) | −4.66734 | + | 4.66734i | −0.233953 | + | 0.233953i | ||||
\(399\) | −2.34665 | − | 14.2243i | −0.117479 | − | 0.712106i | ||||
\(400\) | −15.8327 | + | 9.14100i | −0.791634 | + | 0.457050i | ||||
\(401\) | −5.89581 | + | 22.0035i | −0.294423 | + | 1.09880i | 0.647252 | + | 0.762276i | \(0.275918\pi\) |
−0.941675 | + | 0.336524i | \(0.890749\pi\) | |||||||
\(402\) | 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 | ||||
\(406\) | 2.12875 | + | 0.801502i | 0.105648 | + | 0.0397779i | ||||
\(407\) | −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 | \(-0.564068\pi\) |
0.316772 | + | 0.948502i | \(0.397401\pi\) | |||||||
\(410\) | 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 | ||||
\(413\) | −11.6418 | − | 4.38329i | −0.572855 | − | 0.215688i | ||||
\(414\) | −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 | \(-0.824979\pi\) |
0.0262443 | + | 0.999656i | \(0.491645\pi\) | |||||||
\(420\) | −0.0824109 | + | 0.0135957i | −0.00402124 | + | 0.000663402i | ||||
\(421\) | 14.8560 | − | 14.8560i | 0.724035 | − | 0.724035i | −0.245389 | − | 0.969425i | \(-0.578916\pi\) |
0.969425 | + | 0.245389i | \(0.0789158\pi\) | |||||||
\(422\) | 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 | ||||
\(427\) | 36.4234 | − | 16.4979i | 1.76265 | − | 0.798387i | ||||
\(428\) | − | 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 | 0.576939 | − | 0.816788i | \(-0.304247\pi\) |
0.0912498 | + | 0.995828i | \(0.470914\pi\) | |||||||
\(432\) | 3.53793 | − | 2.04263i | 0.170219 | − | 0.0982759i | ||||
\(433\) | −18.2103 | + | 31.5412i | −0.875131 | + | 1.51577i | −0.0185084 | + | 0.999829i | \(0.505892\pi\) |
−0.856623 | + | 0.515943i | \(0.827442\pi\) | |||||||
\(434\) | 33.1484 | + | 3.26894i | 1.59117 | + | 0.156914i | ||||
\(435\) | 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 | 0.940637 | + | 0.339414i | \(0.110229\pi\) |
−0.176378 | + | 0.984323i | \(0.556438\pi\) | |||||||
\(440\) | −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 | ||||
\(448\) | −16.8122 | − | 12.0506i | −0.794304 | − | 0.569338i | ||||
\(449\) | 18.5886 | − | 4.98079i | 0.877248 | − | 0.235058i | 0.208029 | − | 0.978123i | \(-0.433295\pi\) |
0.669220 | + | 0.743065i | \(0.266629\pi\) | |||||||
\(450\) | 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 | ||||||||
\(455\) | 1.22799 | + | 6.80116i | 0.0575688 | + | 0.318843i | ||||
\(456\) | −15.2395 | −0.713656 | ||||||||
\(457\) | 24.5036 | + | 6.56571i | 1.14623 | + | 0.307131i | 0.781453 | − | 0.623964i | \(-0.214479\pi\) |
0.364776 | + | 0.931095i | \(0.381146\pi\) | |||||||
\(458\) | −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 | \(-0.394392\pi\) |
0.754818 | + | 0.655935i | \(0.227725\pi\) | |||||||
\(462\) | 16.5086 | + | 11.8329i | 0.768048 | + | 0.550518i | ||||
\(463\) | 1.96489 | + | 1.96489i | 0.0913160 | + | 0.0913160i | 0.751289 | − | 0.659973i | \(-0.229432\pi\) |
−0.659973 | + | 0.751289i | \(0.729432\pi\) | |||||||
\(464\) | 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 | \(-0.507789\pi\) | ||||
−0.0244671 | + | 0.999701i | \(0.507789\pi\) | |||||||
\(468\) | 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 | ||||
\(476\) | −0.0297977 | + | 0.302160i | −0.00136577 | + | 0.0138495i | ||||
\(477\) | 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 | \(-0.379900\pi\) |
−0.145773 | + | 0.989318i | \(0.546567\pi\) | |||||||
\(480\) | 0.178552i | 0.00814975i | ||||||||
\(481\) | 2.33369 | + | 0.587618i | 0.106407 | + | 0.0267931i | ||||
\(482\) | − | 18.3028i | − | 0.833668i | ||||||
\(483\) | −6.94832 | − | 15.3403i | −0.316159 | − | 0.698007i | ||||
\(484\) | −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 | 0.980411 | − | 0.196964i | \(-0.0631081\pi\) |
−0.947542 | + | 0.319630i | \(0.896441\pi\) | |||||||
\(488\) | −10.9398 | − | 40.8279i | −0.495221 | − | 1.84819i | ||||
\(489\) | −8.95004 | + | 8.95004i | −0.404735 | + | 0.404735i | ||||
\(490\) | 4.78142 | − | 5.44946i | 0.216002 | − | 0.246182i | ||||
\(491\) | −10.7778 | + | 6.22255i | −0.486394 | + | 0.280820i | −0.723077 | − | 0.690767i | \(-0.757273\pi\) |
0.236683 | + | 0.971587i | \(0.423940\pi\) | |||||||
\(492\) | −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 | ||||
\(497\) | −39.3380 | − | 14.8113i | −1.76455 | − | 0.664377i | ||||
\(498\) | −4.24312 | − | 2.44977i | −0.190139 | − | 0.109777i | ||||
\(499\) | −6.23994 | + | 6.23994i | −0.279338 | + | 0.279338i | −0.832845 | − | 0.553507i | \(-0.813289\pi\) |
0.553507 | + | 0.832845i | \(0.313289\pi\) | |||||||
\(500\) | −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 | \(-0.218848\pi\) |
−0.163198 | + | 0.986593i | \(0.552181\pi\) | |||||||
\(504\) | −2.60736 | + | 6.92500i | −0.116141 | + | 0.308464i | ||||
\(505\) | −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 | 0.671894 | + | 0.740647i | \(0.265481\pi\) |
−0.952201 | + | 0.305472i | \(0.901186\pi\) | |||||||
\(510\) | −2.36214 | + | 1.36378i | −0.104597 | + | 0.0603893i | ||||
\(511\) | −1.85349 | − | 11.2350i | −0.0819936 | − | 0.497007i | ||||
\(512\) | −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 | ||||
\(518\) | −1.04157 | − | 2.29954i | −0.0457639 | − | 0.101036i | ||||
\(519\) | − | 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 | \(-0.463602\pi\) |
0.917419 | + | 0.397922i | \(0.130269\pi\) | |||||||
\(524\) | 0.151712 | − | 0.262773i | 0.00662757 | − | 0.0114793i | ||||
\(525\) | −11.7829 | − | 1.16198i | −0.514248 | − | 0.0507128i | ||||
\(526\) | −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 | ||||
\(539\) | −37.5119 | + | 2.44941i | −1.61575 | + | 0.105503i | ||||
\(540\) | 0.0304937 | − | 0.00817077i | 0.00131224 | − | 0.000351614i | ||||
\(541\) | −5.00068 | − | 5.00068i | −0.214996 | − | 0.214996i | 0.591390 | − | 0.806386i | \(-0.298579\pi\) |
−0.806386 | + | 0.591390i | \(0.798579\pi\) | |||||||
\(542\) | 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 | ||||||||
\(546\) | −12.8335 | − | 4.61155i | −0.549224 | − | 0.197356i | ||||
\(547\) | −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 | ||||
\(553\) | −7.35453 | + | 10.2606i | −0.312746 | + | 0.436324i | ||||
\(554\) | 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 | 0.803012 | + | 0.595963i | \(0.203230\pi\) |
−0.993410 | + | 0.114613i | \(0.963437\pi\) | |||||||
\(558\) | −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 | \(-0.706989\pi\) |
0.991987 | + | 0.126338i | \(0.0403223\pi\) | |||||||
\(564\) | 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 | ||||
\(567\) | 2.63298 | + | 0.259652i | 0.110575 | + | 0.0109044i | ||||
\(568\) | −22.2167 | + | 38.4804i | −0.932191 | + | 1.61460i | ||||
\(569\) | −12.1394 | + | 7.00867i | −0.508909 | + | 0.293819i | −0.732385 | − | 0.680891i | \(-0.761593\pi\) |
0.223476 | + | 0.974709i | \(0.428260\pi\) | |||||||
\(570\) | −5.45105 | − | 1.46061i | −0.228319 | − | 0.0611780i | ||||
\(571\) | 10.4239i | 0.436226i | 0.975924 | + | 0.218113i | \(0.0699901\pi\) | ||||
−0.975924 | + | 0.218113i | \(0.930010\pi\) | |||||||
\(572\) | 0.605567 | + | 0.587515i | 0.0253200 | + | 0.0245652i | ||||
\(573\) | − | 1.61031i | − | 0.0672716i | ||||||
\(574\) | −12.7462 | − | 28.1406i | −0.532015 | − | 1.17457i | ||||
\(575\) | −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 | \(-0.357388\pi\) |
−0.901302 | + | 0.433191i | \(0.857388\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | 8.94700 | − | 1.47603i | 0.371184 | − | 0.0612359i | ||||
\(582\) | 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 | −0.337432 | − | 0.941350i | \(-0.609558\pi\) |
0.762900 | − | 0.646517i | \(-0.223775\pi\) | |||||||
\(588\) | 0.0979764 | + | 0.288862i | 0.00404048 | + | 0.0119125i | ||||
\(589\) | 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 | \(-0.988971\pi\) |
0.0346408 | + | 0.999400i | \(0.488971\pi\) | |||||||
\(594\) | −6.64846 | − | 3.83849i | −0.272789 | − | 0.157495i | ||||
\(595\) | 1.77878 | − | 4.72434i | 0.0729228 | − | 0.193679i | ||||
\(596\) | −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 | \(-0.865535\pi\) |
−0.100993 | + | 0.994887i | \(0.532202\pi\) | |||||||
\(602\) | 17.6818 | − | 2.91705i | 0.720656 | − | 0.118890i | ||||
\(603\) | 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 | \(-0.269439\pi\) |
−0.317287 | + | 0.948329i | \(0.602772\pi\) | |||||||
\(608\) | 0.671459 | + | 1.16300i | 0.0272313 | + | 0.0471659i | ||||
\(609\) | 1.44942 | − | 0.656509i | 0.0587334 | − | 0.0266031i | ||||
\(610\) | − | 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 | −0.277242 | − | 0.960800i | \(-0.589420\pi\) |
−0.720499 | + | 0.693456i | \(0.756087\pi\) | |||||||
\(614\) | 29.2547 | − | 16.8902i | 1.18062 | − | 0.681632i | ||||
\(615\) | 2.95876 | − | 5.12472i | 0.119309 | − | 0.206649i | ||||
\(616\) | −3.89983 | + | 39.5458i | −0.157129 | + | 1.59335i | ||||
\(617\) | 1.62469 | + | 6.06341i | 0.0654074 | + | 0.244104i | 0.990887 | − | 0.134693i | \(-0.0430047\pi\) |
−0.925480 | + | 0.378796i | \(0.876338\pi\) | |||||||
\(618\) | −1.32898 | + | 0.356100i | −0.0534595 | + | 0.0143244i | ||||
\(619\) | 28.4665 | − | 28.4665i | 1.14416 | − | 1.14416i | 0.156484 | − | 0.987680i | \(-0.449984\pi\) |
0.987680 | − | 0.156484i | \(-0.0500161\pi\) | |||||||
\(620\) | 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 | ||||
\(630\) | −1.59634 | + | 2.22712i | −0.0635999 | + | 0.0887305i | ||||
\(631\) | 12.2380 | − | 3.27917i | 0.487188 | − | 0.130542i | −0.00685968 | − | 0.999976i | \(-0.502184\pi\) |
0.494048 | + | 0.869435i | \(0.335517\pi\) | |||||||
\(632\) | 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 | ||||||||
\(637\) | 23.7760 | − | 8.46756i | 0.942041 | − | 0.335497i | ||||
\(638\) | −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 | 0.892977 | − | 0.450102i | \(-0.148612\pi\) |
0.0566885 | + | 0.998392i | \(0.481946\pi\) | |||||||
\(642\) | −12.0634 | − | 12.0634i | −0.476103 | − | 0.476103i | ||||
\(643\) | 17.1125 | − | 4.58528i | 0.674851 | − | 0.180826i | 0.0949121 | − | 0.995486i | \(-0.469743\pi\) |
0.579939 | + | 0.814660i | \(0.303076\pi\) | |||||||
\(644\) | −0.427512 | + | 0.596437i | −0.0168463 | + | 0.0235029i | ||||
\(645\) | 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 | \(-0.124818\pi\) |
−0.793005 | + | 0.609215i | \(0.791485\pi\) | |||||||
\(648\) | 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 | 0.856241 | − | 0.516576i | \(-0.172794\pi\) |
−0.875489 | + | 0.483239i | \(0.839460\pi\) | |||||||
\(654\) | 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 | ||||
\(658\) | −2.23527 | + | 22.6665i | −0.0871398 | + | 0.883632i | ||||
\(659\) | −10.5833 | + | 18.3308i | −0.412267 | + | 0.714067i | −0.995137 | − | 0.0984983i | \(-0.968596\pi\) |
0.582871 | + | 0.812565i | \(0.301929\pi\) | |||||||
\(660\) | 0.146822 | − | 0.0847679i | 0.00571505 | − | 0.00329959i | ||||
\(661\) | −16.8983 | − | 4.52790i | −0.657270 | − | 0.176115i | −0.0852561 | − | 0.996359i | \(-0.527171\pi\) |
−0.572013 | + | 0.820244i | \(0.693837\pi\) | |||||||
\(662\) | 24.8246i | 0.964835i | ||||||||
\(663\) | −9.49454 | + | 0.143653i | −0.368737 | + | 0.00557904i | ||||
\(664\) | − | 9.58557i | − | 0.371992i | ||||||
\(665\) | 9.51411 | − | 4.30938i | 0.368941 | − | 0.167110i | ||||
\(666\) | 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 | ||||
\(672\) | 0.643361 | − | 0.106138i | 0.0248182 | − | 0.00409437i | ||||
\(673\) | 21.4934 | − | 12.4092i | 0.828511 | − | 0.478341i | −0.0248316 | − | 0.999692i | \(-0.507905\pi\) |
0.853343 | + | 0.521351i | \(0.174572\pi\) | |||||||
\(674\) | 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 | ||||
\(679\) | −15.1865 | + | 40.3345i | −0.582803 | + | 1.54789i | ||||
\(680\) | −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 | −0.809390 | − | 0.587271i | \(-0.800202\pi\) |
−0.407317 | + | 0.913287i | \(0.633536\pi\) | |||||||
\(684\) | 0.167894 | − | 0.167894i | 0.00641961 | − | 0.00641961i | ||||
\(685\) | 0.642945 | + | 0.371205i | 0.0245657 | + | 0.0141830i | ||||
\(686\) | −22.4778 | − | 13.9891i | −0.858207 | − | 0.534106i | ||||
\(687\) | −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 | 0.822025 | + | 0.569452i | \(0.192844\pi\) |
−0.996620 | + | 0.0821472i | \(0.973822\pi\) | |||||||
\(692\) | −0.476275 | + | 0.274977i | −0.0181053 | + | 0.0104531i | ||||
\(693\) | 14.0189 | − | 2.31276i | 0.532533 | − | 0.0878543i | ||||
\(694\) | 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 | ||||
\(700\) | 0.212871 | + | 0.469970i | 0.00804577 | + | 0.0177632i | ||||
\(701\) | 41.2421i | 1.55769i | 0.627214 | + | 0.778847i | \(0.284195\pi\) | ||||
−0.627214 | + | 0.778847i | \(0.715805\pi\) | |||||||
\(702\) | 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 | ||||
\(707\) | 44.2162 | + | 4.36040i | 1.66292 | + | 0.163990i | ||||
\(708\) | −0.0530266 | − | 0.197898i | −0.00199286 | − | 0.00743745i | ||||
\(709\) | −23.1654 | + | 6.20716i | −0.869996 | + | 0.233115i | −0.666086 | − | 0.745875i | \(-0.732032\pi\) |
−0.203910 | + | 0.978990i | \(0.565365\pi\) | |||||||
\(710\) | −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 | \(-0.702180\pi\) |
0.993783 | + | 0.111338i | \(0.0355137\pi\) | |||||||
\(720\) | 2.09282 | + | 2.09282i | 0.0779948 | + | 0.0779948i | ||||
\(721\) | 1.48348 | − | 2.06966i | 0.0552478 | − | 0.0770783i | ||||
\(722\) | −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 | \(-0.402536\pi\) | ||||
0.301431 | + | 0.953488i | \(0.402536\pi\) | |||||||
\(728\) | −4.74049 | − | 26.2551i | −0.175694 | − | 0.973077i | ||||
\(729\) | −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 | −0.817001 | − | 0.576637i | \(-0.804365\pi\) |
−0.576637 | − | 0.817001i | \(-0.695635\pi\) | |||||||
\(734\) | 9.77547 | − | 2.61933i | 0.360819 | − | 0.0966812i | ||||
\(735\) | −0.330441 | − | 5.06061i | −0.0121885 | − | 0.186663i | ||||
\(736\) | 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 | 0.336567 | + | 0.941660i | \(0.390734\pi\) |
−0.762305 | + | 0.647218i | \(0.775932\pi\) | |||||||
\(740\) | −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 | −0.660808 | − | 0.750555i | \(-0.729786\pi\) |
−0.947554 | + | 0.319596i | \(0.896453\pi\) | |||||||
\(744\) | −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 | ||||
\(749\) | 31.4221 | + | 3.09870i | 1.14814 | + | 0.113224i | ||||
\(750\) | −4.90658 | + | 8.49844i | −0.179163 | + | 0.310319i | ||||
\(751\) | 27.9904 | − | 16.1603i | 1.02138 | − | 0.589696i | 0.106880 | − | 0.994272i | \(-0.465914\pi\) |
0.914505 | + | 0.404575i | \(0.132581\pi\) | |||||||
\(752\) | 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 | ||||||||
\(756\) | −0.0475676 | − | 0.105018i | −0.00173002 | − | 0.00381948i | ||||
\(757\) | −14.5363 | − | 25.1776i | −0.528331 | − | 0.915097i | −0.999454 | − | 0.0330294i | \(-0.989484\pi\) |
0.471123 | − | 0.882068i | \(-0.343849\pi\) | |||||||
\(758\) | −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 | 0.955939 | + | 0.293564i | \(0.0948414\pi\) |
−0.681086 | + | 0.732204i | \(0.738492\pi\) | |||||||
\(762\) | 13.2542 | − | 13.2542i | 0.480149 | − | 0.480149i | ||||
\(763\) | 2.08440 | + | 12.6347i | 0.0754603 | + | 0.457406i | ||||
\(764\) | −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 | −0.141027 | − | 0.990006i | \(-0.545040\pi\) |
0.617136 | − | 0.786857i | \(-0.288293\pi\) | |||||||
\(770\) | −5.18514 | + | 13.7714i | −0.186859 | + | 0.496289i | ||||
\(771\) | −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 | \(-0.630501\pi\) |
0.113374 | + | 0.993552i | \(0.463834\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | −1.65265 | − | 0.622245i | −0.0592884 | − | 0.0223229i | ||||
\(778\) | −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 | ||||
\(784\) | −18.8604 | + | 21.4956i | −0.673587 | + | 0.767698i | ||||
\(785\) | 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 | \(-0.0932047\pi\) |
−0.973487 | + | 0.228744i | \(0.926538\pi\) | |||||||
\(788\) | −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 | ||||
\(791\) | 14.8121 | + | 32.7017i | 0.526658 | + | 1.16274i | ||||
\(792\) | − | 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 | \(-0.828098\pi\) |
0.874131 | + | 0.485690i | \(0.161432\pi\) | |||||||
\(798\) | −2.02256 | + | 20.5095i | −0.0715977 | + | 0.726030i | ||||
\(799\) | 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 | −0.716207 | − | 0.697888i | \(-0.754123\pi\) |
−0.246286 | − | 0.969197i | \(-0.579210\pi\) | |||||||
\(810\) | 0.517838 | − | 0.896921i | 0.0181950 | − | 0.0315146i | ||||
\(811\) | −15.2089 | − | 15.2089i | −0.534055 | − | 0.534055i | 0.387721 | − | 0.921777i | \(-0.373262\pi\) |
−0.921777 | + | 0.387721i | \(0.873262\pi\) | |||||||
\(812\) | −0.0563541 | − | 0.0403932i | −0.00197764 | − | 0.00141752i | ||||
\(813\) | 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 | ||||||||
\(819\) | −8.62903 | + | 4.06692i | −0.301523 | + | 0.142110i | ||||
\(820\) | −0.257857 | −0.00900474 | ||||||||
\(821\) | −25.5931 | − | 6.85765i | −0.893206 | − | 0.239334i | −0.217110 | − | 0.976147i | \(-0.569663\pi\) |
−0.676096 | + | 0.736814i | \(0.736330\pi\) | |||||||
\(822\) | −1.26865 | + | 0.732454i | −0.0442492 | + | 0.0255473i | ||||
\(823\) | 34.5953 | + | 19.9736i | 1.20592 | + | 0.696237i | 0.961865 | − | 0.273525i | \(-0.0881897\pi\) |
0.244053 | + | 0.969762i | \(0.421523\pi\) | |||||||
\(824\) | −1.90337 | − | 1.90337i | −0.0663071 | − | 0.0663071i | ||||
\(825\) | 23.2137 | − | 6.22008i | 0.808196 | − | 0.216555i | ||||
\(826\) | 14.4535 | + | 10.3599i | 0.502902 | + | 0.360468i | ||||
\(827\) | −16.8364 | − | 16.8364i | −0.585458 | − | 0.585458i | 0.350940 | − | 0.936398i | \(-0.385862\pi\) |
−0.936398 | + | 0.350940i | \(0.885862\pi\) | |||||||
\(828\) | 0.138680 | − | 0.240202i | 0.00481948 | − | 0.00834758i | ||||
\(829\) | −1.41086 | − | 2.44368i | −0.0490011 | − | 0.0848724i | 0.840485 | − | 0.541836i | \(-0.182270\pi\) |
−0.889486 | + | 0.456963i | \(0.848937\pi\) | |||||||
\(830\) | 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 | \(-0.00695742\pi\) |
−0.876746 | + | 0.480953i | \(0.840291\pi\) | |||||||
\(840\) | −5.33500 | − | 0.526113i | −0.184075 | − | 0.0181526i | ||||
\(841\) | 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 | ||||||
\(847\) | 42.9945 | − | 19.4742i | 1.47731 | − | 0.669140i | ||||
\(848\) | −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 | \(-0.946137\pi\) |
0.168410 | + | 0.985717i | \(0.446137\pi\) | |||||||
\(854\) | −56.3985 | + | 9.30432i | −1.92992 | + | 0.318387i | ||||
\(855\) | −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 | \(-0.439981\pi\) | ||||
0.187441 | + | 0.982276i | \(0.439981\pi\) | |||||||
\(858\) | 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 | ||||
\(861\) | −20.2243 | − | 7.61471i | −0.689241 | − | 0.259508i | ||||
\(862\) | −17.7795 | − | 10.2650i | −0.605572 | − | 0.349627i | ||||
\(863\) | −16.1604 | + | 16.1604i | −0.550105 | + | 0.550105i | −0.926471 | − | 0.376366i | \(-0.877173\pi\) |
0.376366 | + | 0.926471i | \(0.377173\pi\) | |||||||
\(864\) | −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 | ||||
\(868\) | −0.950209 | − | 0.357767i | −0.0322522 | − | 0.0121434i | ||||
\(869\) | 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 | ||||
\(875\) | −2.95630 | − | 17.9197i | −0.0999411 | − | 0.605797i | ||||
\(876\) | 0.132611 | − | 0.132611i | 0.00448050 | − | 0.00448050i | ||||
\(877\) | −10.5333 | − | 39.3110i | −0.355686 | − | 1.32744i | −0.879620 | − | 0.475678i | \(-0.842203\pi\) |
0.523934 | − | 0.851759i | \(-0.324464\pi\) | |||||||
\(878\) | −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 | \(-0.0431933\pi\) |
−0.612559 | + | 0.790425i | \(0.709860\pi\) | |||||||
\(882\) | 8.97370 | + | 4.42808i | 0.302160 | + | 0.149101i | ||||
\(883\) | − | 0.128296i | − | 0.00431752i | −0.999998 | − | 0.00215876i | \(-0.999313\pi\) | ||
0.999998 | − | 0.00215876i | \(-0.000687155\pi\) | |||||||
\(884\) | 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 | \(-0.714561\pi\) |
0.364535 | + | 0.931190i | \(0.381228\pi\) | |||||||
\(888\) | −0.933357 | + | 1.61662i | −0.0313214 | + | 0.0542503i | ||||
\(889\) | −3.40459 | + | 34.5240i | −0.114186 | + | 1.15790i | ||||
\(890\) | 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 | ||||
\(903\) | 7.30324 | − | 10.1890i | 0.243037 | − | 0.339069i | ||||
\(904\) | 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 | −0.899142 | − | 0.437658i | \(-0.855808\pi\) |
−0.0705480 | + | 0.997508i | \(0.522475\pi\) | |||||||
\(908\) | −0.503969 | − | 0.135038i | −0.0167248 | − | 0.00448139i | ||||
\(909\) | −16.7932 | −0.556996 | ||||||||
\(910\) | 0.820735 | − | 9.84556i | 0.0272071 | − | 0.326377i | ||||
\(911\) | 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 | ||||
\(917\) | 14.9738 | + | 10.7328i | 0.494478 | + | 0.354430i | ||||
\(918\) | −2.66215 | − | 2.66215i | −0.0878639 | − | 0.0878639i | ||||
\(919\) | 27.1965 | − | 47.1057i | 0.897129 | − | 1.55387i | 0.0659808 | − | 0.997821i | \(-0.478982\pi\) |
0.831148 | − | 0.556052i | \(-0.187684\pi\) | |||||||
\(920\) | −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 | \(-0.645125\pi\) |
0.0676240 | + | 0.997711i | \(0.478458\pi\) | |||||||
\(930\) | −2.36069 | − | 8.81023i | −0.0774102 | − | 0.288899i | ||||
\(931\) | −21.1831 | − | 31.7197i | −0.694249 | − | 1.03957i | ||||
\(932\) | −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 | \(-0.126637\pi\) | |||||||
\(938\) | 15.9861 | − | 7.24083i | 0.521964 | − | 0.236422i | ||||
\(939\) | −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 | \(-0.185132\pi\) |
−0.549368 | + | 0.835580i | \(0.685132\pi\) | |||||||
\(942\) | 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 | ||||
\(945\) | 0.312006 | + | 1.89124i | 0.0101496 | + | 0.0615220i | ||||
\(946\) | −31.5017 | + | 18.1875i | −1.02421 | + | 0.591327i | ||||
\(947\) | −3.45357 | + | 12.8889i | −0.112226 | + | 0.418833i | −0.999064 | − | 0.0432464i | \(-0.986230\pi\) |
0.886838 | + | 0.462080i | \(0.152897\pi\) | |||||||
\(948\) | −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 | ||||
\(952\) | −6.86676 | + | 18.2378i | −0.222553 | + | 0.591089i | ||||
\(953\) | 2.94104 | + | 1.69801i | 0.0952697 | + | 0.0550040i | 0.546878 | − | 0.837212i | \(-0.315816\pi\) |
−0.451608 | + | 0.892216i | \(0.649150\pi\) | |||||||
\(954\) | −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 | ||||
\(959\) | 0.955338 | − | 2.53733i | 0.0308495 | − | 0.0819345i | ||||
\(960\) | −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 | ||||
\(966\) | 3.91865 | + | 23.7531i | 0.126081 | + | 0.764243i | ||||
\(967\) | −32.6551 | + | 32.6551i | −1.05012 | + | 1.05012i | −0.0514398 | + | 0.998676i | \(0.516381\pi\) |
−0.998676 | + | 0.0514398i | \(0.983619\pi\) | |||||||
\(968\) | −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 | \(-0.281487\pi\) |
−0.352948 | + | 0.935643i | \(0.614821\pi\) | |||||||
\(972\) | 0.0217876 | + | 0.0377371i | 0.000698836 | + | 0.00121042i | ||||
\(973\) | −37.7581 | + | 17.1024i | −1.21047 | + | 0.548278i | ||||
\(974\) | − | 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 | 0.997510 | − | 0.0705222i | \(-0.0224666\pi\) |
0.828608 | + | 0.559829i | \(0.189133\pi\) | |||||||
\(978\) | 15.6699 | − | 9.04701i | 0.501068 | − | 0.289292i | ||||
\(979\) | 16.0111 | − | 27.7320i | 0.511716 | − | 0.886317i | ||||
\(980\) | −0.183773 | + | 0.122728i | −0.00587042 | + | 0.00392041i | ||||
\(981\) | −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 | −0.0322405 | + | 0.999480i | \(0.510264\pi\) |
−0.999480 | + | 0.0322405i | \(0.989736\pi\) | |||||||
\(984\) | −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 | 0.845204 | − | 0.534444i | \(-0.179479\pi\) |
−0.885444 | + | 0.464746i | \(0.846146\pi\) | |||||||
\(992\) | −1.08524 | + | 1.87969i | −0.0344565 | + | 0.0596803i | ||||
\(993\) | 12.2792 | + | 12.2792i | 0.389670 | + | 0.389670i | ||||
\(994\) | 48.8389 | + | 35.0065i | 1.54907 | + | 1.11034i | ||||
\(995\) | −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 | \(-0.272020\pi\) |
−0.324968 | + | 0.945725i | \(0.605354\pi\) | |||||||
\(998\) | 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.c.223.3 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.f.496.6 | 32 | |||
7.6 | odd | 2 | 273.2.by.d.223.3 | yes | 32 | ||
13.7 | odd | 12 | 273.2.by.d.202.3 | yes | 32 | ||
21.20 | even | 2 | 819.2.fm.e.496.6 | 32 | |||
39.20 | even | 12 | 819.2.fm.e.748.6 | 32 | |||
91.20 | even | 12 | inner | 273.2.by.c.202.3 | ✓ | 32 | |
273.20 | odd | 12 | 819.2.fm.f.748.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.202.3 | ✓ | 32 | 91.20 | even | 12 | inner | |
273.2.by.c.223.3 | yes | 32 | 1.1 | even | 1 | trivial | |
273.2.by.d.202.3 | yes | 32 | 13.7 | odd | 12 | ||
273.2.by.d.223.3 | yes | 32 | 7.6 | odd | 2 | ||
819.2.fm.e.496.6 | 32 | 21.20 | even | 2 | |||
819.2.fm.e.748.6 | 32 | 39.20 | even | 12 | |||
819.2.fm.f.496.6 | 32 | 3.2 | odd | 2 | |||
819.2.fm.f.748.6 | 32 | 273.20 | odd | 12 |