Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(2,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.p (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Character | \(\chi\) | \(=\) | 99.41 |
Dual form | 99.2.p.a.29.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46099 | − | 1.09570i | −1.74018 | − | 0.774780i | −0.994043 | − | 0.108993i | \(-0.965238\pi\) |
−0.746142 | − | 0.665787i | \(-0.768096\pi\) | |||||||
\(3\) | −1.72861 | − | 0.109172i | −0.998012 | − | 0.0630304i | ||||
\(4\) | 3.51765 | + | 3.90675i | 1.75883 | + | 1.95337i | ||||
\(5\) | 0.588502 | + | 1.32180i | 0.263186 | + | 0.591125i | 0.996005 | − | 0.0892983i | \(-0.0284624\pi\) |
−0.732819 | + | 0.680424i | \(0.761796\pi\) | |||||||
\(6\) | 4.13447 | + | 2.16271i | 1.68789 | + | 0.882924i | ||||
\(7\) | −0.300148 | − | 1.41209i | −0.113445 | − | 0.533718i | −0.997764 | − | 0.0668347i | \(-0.978710\pi\) |
0.884319 | − | 0.466884i | \(-0.154623\pi\) | |||||||
\(8\) | −2.71136 | − | 8.34470i | −0.958610 | − | 2.95030i | ||||
\(9\) | 2.97616 | + | 0.377431i | 0.992054 | + | 0.125810i | ||||
\(10\) | − | 3.89775i | − | 1.23258i | ||||||
\(11\) | 3.03979 | − | 1.32654i | 0.916530 | − | 0.399967i | ||||
\(12\) | −5.65413 | − | 7.13726i | −1.63221 | − | 2.06035i | ||||
\(13\) | 2.96055 | − | 0.311167i | 0.821110 | − | 0.0863022i | 0.315349 | − | 0.948976i | \(-0.397878\pi\) |
0.505761 | + | 0.862674i | \(0.331212\pi\) | |||||||
\(14\) | −0.808567 | + | 3.80401i | −0.216099 | + | 1.01666i | ||||
\(15\) | −0.872985 | − | 2.34911i | −0.225404 | − | 0.606539i | ||||
\(16\) | −1.37167 | + | 13.0506i | −0.342918 | + | 3.26265i | ||||
\(17\) | 3.35854 | + | 2.44012i | 0.814566 | + | 0.591817i | 0.915151 | − | 0.403112i | \(-0.132071\pi\) |
−0.100585 | + | 0.994928i | \(0.532071\pi\) | |||||||
\(18\) | −6.91076 | − | 4.18985i | −1.62888 | − | 0.987557i | ||||
\(19\) | −1.19136 | + | 0.387096i | −0.273317 | + | 0.0888059i | −0.442468 | − | 0.896784i | \(-0.645897\pi\) |
0.169152 | + | 0.985590i | \(0.445897\pi\) | |||||||
\(20\) | −3.09378 | + | 6.94875i | −0.691791 | + | 1.55379i | ||||
\(21\) | 0.364678 | + | 2.47371i | 0.0795793 | + | 0.539808i | ||||
\(22\) | −8.93438 | − | 0.0661021i | −1.90482 | − | 0.0140930i | ||||
\(23\) | 5.02939 | + | 2.90372i | 1.04870 | + | 0.605467i | 0.922285 | − | 0.386511i | \(-0.126320\pi\) |
0.126414 | + | 0.991978i | \(0.459653\pi\) | |||||||
\(24\) | 3.77586 | + | 14.7207i | 0.770745 | + | 3.00485i | ||||
\(25\) | 1.94484 | − | 2.15996i | 0.388968 | − | 0.431993i | ||||
\(26\) | −7.62685 | − | 2.47811i | −1.49575 | − | 0.485998i | ||||
\(27\) | −5.10341 | − | 0.977342i | −0.982152 | − | 0.188090i | ||||
\(28\) | 4.46085 | − | 6.13983i | 0.843021 | − | 1.16032i | ||||
\(29\) | −0.0952306 | + | 0.0202419i | −0.0176839 | + | 0.00375882i | −0.216745 | − | 0.976228i | \(-0.569544\pi\) |
0.199061 | + | 0.979987i | \(0.436211\pi\) | |||||||
\(30\) | −0.425525 | + | 6.73769i | −0.0776899 | + | 1.23013i | ||||
\(31\) | −0.427327 | − | 4.06575i | −0.0767503 | − | 0.730230i | −0.963451 | − | 0.267886i | \(-0.913675\pi\) |
0.886700 | − | 0.462344i | \(-0.152992\pi\) | |||||||
\(32\) | 8.90112 | − | 15.4172i | 1.57351 | − | 2.72540i | ||||
\(33\) | −5.39941 | + | 1.96121i | −0.939917 | + | 0.341402i | ||||
\(34\) | −5.59169 | − | 9.68509i | −0.958967 | − | 1.66098i | ||||
\(35\) | 1.68985 | − | 1.22775i | 0.285637 | − | 0.207528i | ||||
\(36\) | 8.99458 | + | 12.9548i | 1.49910 | + | 2.15913i | ||||
\(37\) | −3.08635 | + | 9.49880i | −0.507392 | + | 1.56159i | 0.289319 | + | 0.957233i | \(0.406571\pi\) |
−0.796711 | + | 0.604360i | \(0.793429\pi\) | |||||||
\(38\) | 3.35607 | + | 0.352737i | 0.544426 | + | 0.0572215i | ||||
\(39\) | −5.15161 | + | 0.214676i | −0.824917 | + | 0.0343756i | ||||
\(40\) | 9.43436 | − | 8.49473i | 1.49170 | − | 1.34314i | ||||
\(41\) | −4.47075 | − | 0.950287i | −0.698214 | − | 0.148410i | −0.154888 | − | 0.987932i | \(-0.549502\pi\) |
−0.543325 | + | 0.839522i | \(0.682835\pi\) | |||||||
\(42\) | 1.81298 | − | 6.48736i | 0.279750 | − | 1.00102i | ||||
\(43\) | 1.84140 | − | 1.06313i | 0.280811 | − | 0.162126i | −0.352980 | − | 0.935631i | \(-0.614832\pi\) |
0.633790 | + | 0.773505i | \(0.281498\pi\) | |||||||
\(44\) | 15.8754 | + | 7.20937i | 2.39330 | + | 1.08685i | ||||
\(45\) | 1.25259 | + | 4.15600i | 0.186725 | + | 0.619540i | ||||
\(46\) | −9.19566 | − | 12.6567i | −1.35583 | − | 1.86614i | ||||
\(47\) | −5.39440 | − | 4.85714i | −0.786855 | − | 0.708487i | 0.174241 | − | 0.984703i | \(-0.444253\pi\) |
−0.961096 | + | 0.276216i | \(0.910920\pi\) | |||||||
\(48\) | 3.79584 | − | 22.4096i | 0.547882 | − | 3.23454i | ||||
\(49\) | 4.49092 | − | 1.99949i | 0.641560 | − | 0.285641i | ||||
\(50\) | −7.15292 | + | 3.18469i | −1.01158 | + | 0.450383i | ||||
\(51\) | −5.53920 | − | 4.58467i | −0.775644 | − | 0.641982i | ||||
\(52\) | 11.6299 | + | 10.4716i | 1.61277 | + | 1.45215i | ||||
\(53\) | 0.197492 | + | 0.271824i | 0.0271276 | + | 0.0373379i | 0.822365 | − | 0.568960i | \(-0.192654\pi\) |
−0.795238 | + | 0.606298i | \(0.792654\pi\) | |||||||
\(54\) | 11.4886 | + | 7.99706i | 1.56340 | + | 1.08826i | ||||
\(55\) | 3.54233 | + | 3.23731i | 0.477648 | + | 0.436518i | ||||
\(56\) | −10.9696 | + | 6.33332i | −1.46588 | + | 0.846325i | ||||
\(57\) | 2.10165 | − | 0.539074i | 0.278371 | − | 0.0714021i | ||||
\(58\) | 0.256541 | + | 0.0545294i | 0.0336855 | + | 0.00716006i | ||||
\(59\) | −2.24930 | + | 2.02528i | −0.292833 | + | 0.263668i | −0.802432 | − | 0.596744i | \(-0.796461\pi\) |
0.509598 | + | 0.860413i | \(0.329794\pi\) | |||||||
\(60\) | 6.10654 | − | 11.6739i | 0.788351 | − | 1.50709i | ||||
\(61\) | −0.316566 | − | 0.0332724i | −0.0405321 | − | 0.00426009i | 0.0842407 | − | 0.996445i | \(-0.473154\pi\) |
−0.124773 | + | 0.992185i | \(0.539820\pi\) | |||||||
\(62\) | −3.40321 | + | 10.4740i | −0.432208 | + | 1.33020i | ||||
\(63\) | −0.360325 | − | 4.31588i | −0.0453967 | − | 0.543750i | ||||
\(64\) | −17.5657 | + | 12.7622i | −2.19571 | + | 1.59527i | ||||
\(65\) | 2.15359 | + | 3.73013i | 0.267120 | + | 0.462666i | ||||
\(66\) | 15.4368 | + | 1.08965i | 1.90014 | + | 0.134126i | ||||
\(67\) | −1.71828 | + | 2.97615i | −0.209922 | + | 0.363595i | −0.951690 | − | 0.307062i | \(-0.900654\pi\) |
0.741768 | + | 0.670657i | \(0.233988\pi\) | |||||||
\(68\) | 2.28123 | + | 21.7045i | 0.276640 | + | 2.63206i | ||||
\(69\) | −8.37683 | − | 5.56845i | −1.00845 | − | 0.670363i | ||||
\(70\) | −5.50397 | + | 1.16990i | −0.657850 | + | 0.139830i | ||||
\(71\) | 5.38901 | − | 7.41734i | 0.639558 | − | 0.880276i | −0.359034 | − | 0.933325i | \(-0.616894\pi\) |
0.998592 | + | 0.0530483i | \(0.0168937\pi\) | |||||||
\(72\) | −4.91990 | − | 25.8585i | −0.579815 | − | 3.04746i | ||||
\(73\) | −6.75113 | − | 2.19358i | −0.790160 | − | 0.256739i | −0.113988 | − | 0.993482i | \(-0.536363\pi\) |
−0.676172 | + | 0.736743i | \(0.736363\pi\) | |||||||
\(74\) | 18.0034 | − | 19.9948i | 2.09285 | − | 2.32434i | ||||
\(75\) | −3.59767 | + | 3.52141i | −0.415423 | + | 0.406617i | ||||
\(76\) | −5.70308 | − | 3.29267i | −0.654188 | − | 0.377695i | ||||
\(77\) | −2.78557 | − | 3.89428i | −0.317446 | − | 0.443794i | ||||
\(78\) | 12.9133 | + | 5.11632i | 1.46214 | + | 0.579309i | ||||
\(79\) | −4.07566 | + | 9.15408i | −0.458547 | + | 1.02991i | 0.525302 | + | 0.850916i | \(0.323952\pi\) |
−0.983849 | + | 0.178998i | \(0.942714\pi\) | |||||||
\(80\) | −18.0574 | + | 5.86722i | −2.01888 | + | 0.655975i | ||||
\(81\) | 8.71509 | + | 2.24659i | 0.968344 | + | 0.249621i | ||||
\(82\) | 9.96124 | + | 7.23727i | 1.10004 | + | 0.799222i | ||||
\(83\) | 0.623446 | − | 5.93169i | 0.0684321 | − | 0.651088i | −0.905515 | − | 0.424314i | \(-0.860515\pi\) |
0.973947 | − | 0.226774i | \(-0.0728180\pi\) | |||||||
\(84\) | −8.38135 | + | 10.1264i | −0.914481 | + | 1.10488i | ||||
\(85\) | −1.24884 | + | 5.87533i | −0.135456 | + | 0.637269i | ||||
\(86\) | −5.69655 | + | 0.598731i | −0.614274 | + | 0.0645628i | ||||
\(87\) | 0.166826 | − | 0.0245938i | 0.0178856 | − | 0.00263673i | ||||
\(88\) | −19.3115 | − | 21.7694i | −2.05861 | − | 2.32062i | ||||
\(89\) | 5.11584i | 0.542278i | 0.962540 | + | 0.271139i | \(0.0874004\pi\) | ||||
−0.962540 | + | 0.271139i | \(0.912600\pi\) | |||||||
\(90\) | 1.47113 | − | 11.6004i | 0.155071 | − | 1.22278i | ||||
\(91\) | −1.32800 | − | 4.08716i | −0.139212 | − | 0.428451i | ||||
\(92\) | 6.34754 | + | 29.8628i | 0.661777 | + | 3.11341i | ||||
\(93\) | 0.294816 | + | 7.07473i | 0.0305710 | + | 0.733616i | ||||
\(94\) | 7.95359 | + | 17.8641i | 0.820350 | + | 1.84254i | ||||
\(95\) | −1.21278 | − | 1.34693i | −0.124429 | − | 0.138192i | ||||
\(96\) | −17.0697 | + | 25.6785i | −1.74216 | + | 2.62080i | ||||
\(97\) | 5.51867 | + | 2.45707i | 0.560336 | + | 0.249478i | 0.667305 | − | 0.744785i | \(-0.267448\pi\) |
−0.106969 | + | 0.994262i | \(0.534114\pi\) | |||||||
\(98\) | −13.2430 | −1.33774 | ||||||||
\(99\) | 9.54757 | − | 2.80069i | 0.959567 | − | 0.281480i | ||||
\(100\) | 15.2797 | 1.52797 | ||||||||
\(101\) | −10.6358 | − | 4.73537i | −1.05830 | − | 0.471187i | −0.197593 | − | 0.980284i | \(-0.563313\pi\) |
−0.860709 | + | 0.509098i | \(0.829979\pi\) | |||||||
\(102\) | 8.60849 | + | 17.3522i | 0.852368 | + | 1.71812i | ||||
\(103\) | −2.24151 | − | 2.48945i | −0.220863 | − | 0.245293i | 0.622523 | − | 0.782602i | \(-0.286108\pi\) |
−0.843386 | + | 0.537309i | \(0.819441\pi\) | |||||||
\(104\) | −10.6237 | − | 23.8613i | −1.04174 | − | 2.33979i | ||||
\(105\) | −3.05513 | + | 1.93781i | −0.298150 | + | 0.189111i | ||||
\(106\) | −0.188187 | − | 0.885350i | −0.0182783 | − | 0.0859928i | ||||
\(107\) | 2.92166 | + | 8.99195i | 0.282448 | + | 0.869285i | 0.987152 | + | 0.159784i | \(0.0510797\pi\) |
−0.704704 | + | 0.709501i | \(0.748920\pi\) | |||||||
\(108\) | −14.1338 | − | 23.3757i | −1.36003 | − | 2.24933i | ||||
\(109\) | − | 4.11325i | − | 0.393978i | −0.980406 | − | 0.196989i | \(-0.936884\pi\) | ||
0.980406 | − | 0.196989i | \(-0.0631163\pi\) | |||||||
\(110\) | −5.17053 | − | 11.8483i | −0.492990 | − | 1.12969i | ||||
\(111\) | 6.37208 | − | 16.0828i | 0.604811 | − | 1.52651i | ||||
\(112\) | 18.8403 | − | 1.98019i | 1.78024 | − | 0.187110i | ||||
\(113\) | 4.20449 | − | 19.7806i | 0.395525 | − | 1.86080i | −0.104116 | − | 0.994565i | \(-0.533201\pi\) |
0.499640 | − | 0.866233i | \(-0.333465\pi\) | |||||||
\(114\) | −5.76281 | − | 0.976132i | −0.539737 | − | 0.0914231i | ||||
\(115\) | −0.878321 | + | 8.35667i | −0.0819039 | + | 0.779263i | ||||
\(116\) | −0.414068 | − | 0.300838i | −0.0384452 | − | 0.0279321i | ||||
\(117\) | 8.92854 | + | 0.191321i | 0.825444 | + | 0.0176876i | ||||
\(118\) | 7.75460 | − | 2.51962i | 0.713869 | − | 0.231950i | ||||
\(119\) | 2.43760 | − | 5.47495i | 0.223455 | − | 0.501888i | ||||
\(120\) | −17.2357 | + | 13.6541i | −1.57340 | + | 1.24644i | ||||
\(121\) | 7.48059 | − | 8.06479i | 0.680053 | − | 0.733163i | ||||
\(122\) | 0.742609 | + | 0.428746i | 0.0672327 | + | 0.0388168i | ||||
\(123\) | 7.62442 | + | 2.13075i | 0.687471 | + | 0.192123i | ||||
\(124\) | 14.3807 | − | 15.9714i | 1.29142 | − | 1.43427i | ||||
\(125\) | 10.8799 | + | 3.53510i | 0.973131 | + | 0.316189i | ||||
\(126\) | −3.84217 | + | 11.0162i | −0.342288 | + | 0.981398i | ||||
\(127\) | −0.0604870 | + | 0.0832533i | −0.00536736 | + | 0.00738753i | −0.811692 | − | 0.584085i | \(-0.801453\pi\) |
0.806325 | + | 0.591473i | \(0.201453\pi\) | |||||||
\(128\) | 22.3861 | − | 4.75831i | 1.97867 | − | 0.420579i | ||||
\(129\) | −3.29912 | + | 1.63671i | −0.290471 | + | 0.144104i | ||||
\(130\) | −1.21285 | − | 11.5395i | −0.106374 | − | 1.01208i | ||||
\(131\) | −7.68267 | + | 13.3068i | −0.671238 | + | 1.16262i | 0.306315 | + | 0.951930i | \(0.400904\pi\) |
−0.977553 | + | 0.210689i | \(0.932429\pi\) | |||||||
\(132\) | −26.6552 | − | 14.1953i | −2.32004 | − | 1.23554i | ||||
\(133\) | 0.904197 | + | 1.56612i | 0.0784039 | + | 0.135799i | ||||
\(134\) | 7.48966 | − | 5.44156i | 0.647008 | − | 0.470079i | ||||
\(135\) | −1.71152 | − | 7.32084i | −0.147304 | − | 0.630077i | ||||
\(136\) | 11.2559 | − | 34.6421i | 0.965185 | − | 2.97053i | ||||
\(137\) | −3.70309 | − | 0.389210i | −0.316376 | − | 0.0332525i | −0.0549904 | − | 0.998487i | \(-0.517513\pi\) |
−0.261386 | + | 0.965234i | \(0.584179\pi\) | |||||||
\(138\) | 14.5139 | + | 22.8824i | 1.23551 | + | 1.94788i | ||||
\(139\) | −12.6455 | + | 11.3860i | −1.07257 | + | 0.965749i | −0.999501 | − | 0.0315774i | \(-0.989947\pi\) |
−0.0730719 | + | 0.997327i | \(0.523280\pi\) | |||||||
\(140\) | 10.7408 | + | 2.28303i | 0.907766 | + | 0.192952i | ||||
\(141\) | 8.79454 | + | 8.98501i | 0.740634 | + | 0.756674i | ||||
\(142\) | −21.3895 | + | 12.3492i | −1.79497 | + | 1.03633i | ||||
\(143\) | 8.58668 | − | 4.87317i | 0.718054 | − | 0.407515i | ||||
\(144\) | −9.00801 | + | 38.3230i | −0.750667 | + | 3.19358i | ||||
\(145\) | −0.0827990 | − | 0.113963i | −0.00687608 | − | 0.00946412i | ||||
\(146\) | 14.2110 | + | 12.7956i | 1.17611 | + | 1.05897i | ||||
\(147\) | −7.98132 | + | 2.96604i | −0.658288 | + | 0.244635i | ||||
\(148\) | −47.9661 | + | 21.3559i | −3.94279 | + | 1.75544i | ||||
\(149\) | −10.4619 | + | 4.65792i | −0.857070 | + | 0.381592i | −0.787744 | − | 0.616002i | \(-0.788751\pi\) |
−0.0693251 | + | 0.997594i | \(0.522085\pi\) | |||||||
\(150\) | 12.7123 | − | 4.72417i | 1.03795 | − | 0.385727i | ||||
\(151\) | −0.789963 | − | 0.711286i | −0.0642863 | − | 0.0578836i | 0.636361 | − | 0.771391i | \(-0.280439\pi\) |
−0.700648 | + | 0.713508i | \(0.747105\pi\) | |||||||
\(152\) | 6.46040 | + | 8.89198i | 0.524008 | + | 0.721235i | ||||
\(153\) | 9.07459 | + | 8.52982i | 0.733637 | + | 0.689595i | ||||
\(154\) | 2.58830 | + | 12.6360i | 0.208571 | + | 1.01823i | ||||
\(155\) | 5.12261 | − | 2.95754i | 0.411458 | − | 0.237555i | ||||
\(156\) | −18.9602 | − | 19.3709i | −1.51803 | − | 1.55091i | ||||
\(157\) | 0.0835237 | + | 0.0177535i | 0.00666592 | + | 0.00141688i | 0.211243 | − | 0.977433i | \(-0.432249\pi\) |
−0.204578 | + | 0.978850i | \(0.565582\pi\) | |||||||
\(158\) | 20.0603 | − | 18.0624i | 1.59591 | − | 1.43697i | ||||
\(159\) | −0.311710 | − | 0.491438i | −0.0247202 | − | 0.0389735i | ||||
\(160\) | 25.6167 | + | 2.69242i | 2.02518 | + | 0.212855i | ||||
\(161\) | 2.59074 | − | 7.97347i | 0.204179 | − | 0.628398i | ||||
\(162\) | −18.9862 | − | 15.0780i | −1.49169 | − | 1.18464i | ||||
\(163\) | −2.37021 | + | 1.72206i | −0.185650 | + | 0.134882i | −0.676728 | − | 0.736233i | \(-0.736603\pi\) |
0.491079 | + | 0.871115i | \(0.336603\pi\) | |||||||
\(164\) | −12.0140 | − | 20.8089i | −0.938136 | − | 1.62490i | ||||
\(165\) | −5.76988 | − | 5.98275i | −0.449185 | − | 0.465757i | ||||
\(166\) | −8.03368 | + | 13.9147i | −0.623534 | + | 1.07999i | ||||
\(167\) | 0.465535 | + | 4.42927i | 0.0360242 | + | 0.342747i | 0.997657 | + | 0.0684086i | \(0.0217922\pi\) |
−0.961633 | + | 0.274338i | \(0.911541\pi\) | |||||||
\(168\) | 19.6536 | − | 9.75024i | 1.51631 | − | 0.752247i | ||||
\(169\) | −4.04786 | + | 0.860399i | −0.311374 | + | 0.0661845i | ||||
\(170\) | 9.51100 | − | 13.0908i | 0.729461 | − | 1.00402i | ||||
\(171\) | −3.69178 | + | 0.702406i | −0.282318 | + | 0.0537143i | ||||
\(172\) | 10.6308 | + | 3.45415i | 0.810590 | + | 0.263377i | ||||
\(173\) | −6.99267 | + | 7.76615i | −0.531643 | + | 0.590449i | −0.947809 | − | 0.318839i | \(-0.896707\pi\) |
0.416166 | + | 0.909289i | \(0.363374\pi\) | |||||||
\(174\) | −0.437505 | − | 0.122267i | −0.0331672 | − | 0.00926904i | ||||
\(175\) | −3.63380 | − | 2.09797i | −0.274689 | − | 0.158592i | ||||
\(176\) | 13.1425 | + | 41.4905i | 0.990655 | + | 3.12747i | ||||
\(177\) | 4.10925 | − | 3.25535i | 0.308870 | − | 0.244687i | ||||
\(178\) | 5.60545 | − | 12.5901i | 0.420146 | − | 0.943664i | ||||
\(179\) | −9.58188 | + | 3.11334i | −0.716183 | + | 0.232702i | −0.644368 | − | 0.764716i | \(-0.722879\pi\) |
−0.0718157 | + | 0.997418i | \(0.522879\pi\) | |||||||
\(180\) | −11.8303 | + | 19.5129i | −0.881776 | + | 1.45441i | ||||
\(181\) | 12.5433 | + | 9.11327i | 0.932339 | + | 0.677384i | 0.946564 | − | 0.322515i | \(-0.104528\pi\) |
−0.0142256 | + | 0.999899i | \(0.504528\pi\) | |||||||
\(182\) | −1.21012 | + | 11.5136i | −0.0897004 | + | 0.853443i | ||||
\(183\) | 0.543585 | + | 0.0920750i | 0.0401830 | + | 0.00680638i | ||||
\(184\) | 10.5942 | − | 49.8417i | 0.781014 | − | 3.67438i | ||||
\(185\) | −14.3718 | + | 1.51054i | −1.05664 | + | 0.111057i | ||||
\(186\) | 7.02628 | − | 17.7339i | 0.515192 | − | 1.30031i | ||||
\(187\) | 13.4462 | + | 2.96221i | 0.983281 | + | 0.216618i | ||||
\(188\) | − | 38.1603i | − | 2.78313i | ||||||
\(189\) | 0.151688 | + | 7.49980i | 0.0110337 | + | 0.545530i | ||||
\(190\) | 1.50881 | + | 4.64363i | 0.109460 | + | 0.336884i | ||||
\(191\) | −0.772348 | − | 3.63361i | −0.0558851 | − | 0.262919i | 0.941331 | − | 0.337485i | \(-0.109576\pi\) |
−0.997216 | + | 0.0745660i | \(0.976243\pi\) | |||||||
\(192\) | 31.7574 | − | 20.1431i | 2.29189 | − | 1.45371i | ||||
\(193\) | −10.1429 | − | 22.7814i | −0.730103 | − | 1.63984i | −0.767914 | − | 0.640554i | \(-0.778705\pi\) |
0.0378104 | − | 0.999285i | \(-0.487962\pi\) | |||||||
\(194\) | −10.8892 | − | 12.0937i | −0.781798 | − | 0.868274i | ||||
\(195\) | −3.31549 | − | 6.68304i | −0.237427 | − | 0.478582i | ||||
\(196\) | 23.6090 | + | 10.5114i | 1.68636 | + | 0.750814i | ||||
\(197\) | −19.2214 | −1.36947 | −0.684733 | − | 0.728794i | \(-0.740081\pi\) | ||||
−0.684733 | + | 0.728794i | \(0.740081\pi\) | |||||||
\(198\) | −26.5652 | − | 3.56884i | −1.88791 | − | 0.253626i | ||||
\(199\) | −26.0126 | −1.84399 | −0.921993 | − | 0.387206i | \(-0.873440\pi\) | ||||
−0.921993 | + | 0.387206i | \(0.873440\pi\) | |||||||
\(200\) | −23.2974 | − | 10.3727i | −1.64738 | − | 0.733459i | ||||
\(201\) | 3.29515 | − | 4.95701i | 0.232422 | − | 0.349640i | ||||
\(202\) | 20.9861 | + | 23.3074i | 1.47657 | + | 1.63990i | ||||
\(203\) | 0.0571666 | + | 0.128398i | 0.00401231 | + | 0.00901179i | ||||
\(204\) | −1.57384 | − | 37.7676i | −0.110191 | − | 2.64426i | ||||
\(205\) | −1.37496 | − | 6.46867i | −0.0960312 | − | 0.451791i | ||||
\(206\) | 2.78864 | + | 8.58255i | 0.194294 | + | 0.597975i | ||||
\(207\) | 13.8723 | + | 10.5402i | 0.964193 | + | 0.732593i | ||||
\(208\) | 39.0638i | 2.70859i | ||||||||
\(209\) | −3.10798 | + | 2.75707i | −0.214983 | + | 0.190711i | ||||
\(210\) | 9.64191 | − | 1.42143i | 0.665355 | − | 0.0980877i | ||||
\(211\) | 22.6127 | − | 2.37669i | 1.55672 | − | 0.163618i | 0.713294 | − | 0.700865i | \(-0.247202\pi\) |
0.843425 | + | 0.537247i | \(0.180536\pi\) | |||||||
\(212\) | −0.367241 | + | 1.72773i | −0.0252222 | + | 0.118661i | ||||
\(213\) | −10.1252 | + | 12.2333i | −0.693771 | + | 0.838214i | ||||
\(214\) | 2.66233 | − | 25.3304i | 0.181993 | − | 1.73155i | ||||
\(215\) | 2.48891 | + | 1.80830i | 0.169742 | + | 0.123325i | ||||
\(216\) | 5.68154 | + | 45.2364i | 0.386580 | + | 3.07794i | ||||
\(217\) | −5.61293 | + | 1.82375i | −0.381030 | + | 0.123804i | ||||
\(218\) | −4.50691 | + | 10.1227i | −0.305246 | + | 0.685594i | ||||
\(219\) | 11.4306 | + | 4.52886i | 0.772407 | + | 0.306032i | ||||
\(220\) | −0.186643 | + | 25.2267i | −0.0125835 | + | 1.70079i | ||||
\(221\) | 10.7024 | + | 6.17905i | 0.719923 | + | 0.415648i | ||||
\(222\) | −33.3036 | + | 32.5976i | −2.23519 | + | 2.18781i | ||||
\(223\) | −15.2216 | + | 16.9053i | −1.01932 | + | 1.13206i | −0.0281268 | + | 0.999604i | \(0.508954\pi\) |
−0.991188 | + | 0.132460i | \(0.957712\pi\) | |||||||
\(224\) | −24.4421 | − | 7.94170i | −1.63310 | − | 0.530627i | ||||
\(225\) | 6.60340 | − | 5.69436i | 0.440227 | − | 0.379624i | ||||
\(226\) | −32.0208 | + | 44.0729i | −2.13000 | + | 2.93169i | ||||
\(227\) | 7.95006 | − | 1.68984i | 0.527664 | − | 0.112158i | 0.0636262 | − | 0.997974i | \(-0.479733\pi\) |
0.464038 | + | 0.885815i | \(0.346400\pi\) | |||||||
\(228\) | 9.49891 | + | 6.31435i | 0.629081 | + | 0.418178i | ||||
\(229\) | −1.42091 | − | 13.5191i | −0.0938964 | − | 0.893365i | −0.935514 | − | 0.353290i | \(-0.885063\pi\) |
0.841617 | − | 0.540074i | \(-0.181604\pi\) | |||||||
\(230\) | 11.3180 | − | 19.6033i | 0.746285 | − | 1.29260i | ||||
\(231\) | 4.39002 | + | 7.03579i | 0.288842 | + | 0.462921i | ||||
\(232\) | 0.427117 | + | 0.739788i | 0.0280416 | + | 0.0485694i | ||||
\(233\) | −4.09157 | + | 2.97270i | −0.268048 | + | 0.194748i | −0.713687 | − | 0.700464i | \(-0.752976\pi\) |
0.445640 | + | 0.895212i | \(0.352976\pi\) | |||||||
\(234\) | −21.7634 | − | 10.2539i | −1.42272 | − | 0.670317i | ||||
\(235\) | 3.24554 | − | 9.98874i | 0.211716 | − | 0.651594i | ||||
\(236\) | −15.8245 | − | 1.66322i | −1.03009 | − | 0.108266i | ||||
\(237\) | 8.04458 | − | 15.3789i | 0.522551 | − | 0.998964i | ||||
\(238\) | −11.9978 | + | 10.8029i | −0.777705 | + | 0.700249i | ||||
\(239\) | 19.7253 | + | 4.19274i | 1.27592 | + | 0.271206i | 0.795565 | − | 0.605868i | \(-0.207174\pi\) |
0.480356 | + | 0.877073i | \(0.340507\pi\) | |||||||
\(240\) | 31.8548 | − | 8.17075i | 2.05622 | − | 0.527420i | ||||
\(241\) | 24.5094 | − | 14.1505i | 1.57879 | − | 0.911516i | 0.583764 | − | 0.811923i | \(-0.301579\pi\) |
0.995028 | − | 0.0995930i | \(-0.0317541\pi\) | |||||||
\(242\) | −27.2463 | + | 11.6509i | −1.75146 | + | 0.748947i | ||||
\(243\) | −14.8197 | − | 4.83491i | −0.950684 | − | 0.310160i | ||||
\(244\) | −0.983581 | − | 1.35378i | −0.0629674 | − | 0.0866671i | ||||
\(245\) | 5.28583 | + | 4.75938i | 0.337699 | + | 0.304066i | ||||
\(246\) | −16.4290 | − | 13.5979i | −1.04747 | − | 0.866969i | ||||
\(247\) | −3.40663 | + | 1.51673i | −0.216759 | + | 0.0965073i | ||||
\(248\) | −32.7688 | + | 14.5896i | −2.08082 | + | 0.926442i | ||||
\(249\) | −1.72527 | + | 10.1855i | −0.109334 | + | 0.645480i | ||||
\(250\) | −22.9020 | − | 20.6210i | −1.44845 | − | 1.30419i | ||||
\(251\) | −13.7475 | − | 18.9219i | −0.867737 | − | 1.19434i | −0.979669 | − | 0.200622i | \(-0.935704\pi\) |
0.111931 | − | 0.993716i | \(-0.464296\pi\) | |||||||
\(252\) | 15.5936 | − | 16.5895i | 0.982303 | − | 1.04504i | ||||
\(253\) | 19.1401 | + | 2.15500i | 1.20333 | + | 0.135483i | ||||
\(254\) | 0.240079 | − | 0.138610i | 0.0150639 | − | 0.00869715i | ||||
\(255\) | 2.80017 | − | 10.0198i | 0.175354 | − | 0.627464i | ||||
\(256\) | −17.8299 | − | 3.78987i | −1.11437 | − | 0.236867i | ||||
\(257\) | −0.309493 | + | 0.278669i | −0.0193057 | + | 0.0173829i | −0.678727 | − | 0.734391i | \(-0.737468\pi\) |
0.659421 | + | 0.751774i | \(0.270801\pi\) | |||||||
\(258\) | 9.91245 | − | 0.413068i | 0.617122 | − | 0.0257165i | ||||
\(259\) | 14.3395 | + | 1.50714i | 0.891012 | + | 0.0936492i | ||||
\(260\) | −6.99709 | + | 21.5348i | −0.433941 | + | 1.33553i | ||||
\(261\) | −0.291062 | + | 0.0243002i | −0.0180163 | + | 0.00150415i | ||||
\(262\) | 33.4873 | − | 24.3299i | 2.06885 | − | 1.50311i | ||||
\(263\) | 14.0588 | + | 24.3505i | 0.866902 | + | 1.50152i | 0.865146 | + | 0.501520i | \(0.167226\pi\) |
0.00175644 | + | 0.999998i | \(0.499441\pi\) | |||||||
\(264\) | 31.0054 | + | 39.7390i | 1.90825 | + | 2.44576i | ||||
\(265\) | −0.243072 | + | 0.421013i | −0.0149318 | + | 0.0258626i | ||||
\(266\) | −0.509223 | − | 4.84493i | −0.0312225 | − | 0.297062i | ||||
\(267\) | 0.558506 | − | 8.84328i | 0.0341800 | − | 0.541200i | ||||
\(268\) | −17.6714 | + | 3.75617i | −1.07945 | + | 0.229445i | ||||
\(269\) | −7.97137 | + | 10.9716i | −0.486023 | + | 0.668953i | −0.979648 | − | 0.200721i | \(-0.935671\pi\) |
0.493625 | + | 0.869675i | \(0.335671\pi\) | |||||||
\(270\) | −3.80944 | + | 19.8918i | −0.231835 | + | 1.21058i | ||||
\(271\) | −10.5963 | − | 3.44294i | −0.643678 | − | 0.209144i | −0.0310533 | − | 0.999518i | \(-0.509886\pi\) |
−0.612624 | + | 0.790374i | \(0.709886\pi\) | |||||||
\(272\) | −36.4518 | + | 40.4839i | −2.21022 | + | 2.45470i | ||||
\(273\) | 1.84939 | + | 7.21008i | 0.111930 | + | 0.436374i | ||||
\(274\) | 8.68681 | + | 5.01533i | 0.524789 | + | 0.302987i | ||||
\(275\) | 3.04662 | − | 9.14574i | 0.183718 | − | 0.551509i | ||||
\(276\) | −7.71222 | − | 52.3140i | −0.464221 | − | 3.14894i | ||||
\(277\) | −3.97962 | + | 8.93837i | −0.239112 | + | 0.537055i | −0.992745 | − | 0.120241i | \(-0.961633\pi\) |
0.753633 | + | 0.657296i | \(0.228300\pi\) | |||||||
\(278\) | 43.5961 | − | 14.1652i | 2.61472 | − | 0.849573i | ||||
\(279\) | 0.262742 | − | 12.2616i | 0.0157299 | − | 0.734084i | ||||
\(280\) | −14.8270 | − | 10.7724i | −0.886083 | − | 0.643777i | ||||
\(281\) | 1.27367 | − | 12.1181i | 0.0759805 | − | 0.722906i | −0.888522 | − | 0.458834i | \(-0.848267\pi\) |
0.964503 | − | 0.264073i | \(-0.0850659\pi\) | |||||||
\(282\) | −11.7984 | − | 31.7482i | −0.702583 | − | 1.89058i | ||||
\(283\) | −3.20045 | + | 15.0569i | −0.190247 | + | 0.895042i | 0.774645 | + | 0.632396i | \(0.217928\pi\) |
−0.964892 | + | 0.262646i | \(0.915405\pi\) | |||||||
\(284\) | 47.9344 | − | 5.03810i | 2.84438 | − | 0.298956i | ||||
\(285\) | 1.94937 | + | 2.46071i | 0.115471 | + | 0.145760i | ||||
\(286\) | −26.4713 | + | 2.58438i | −1.56528 | + | 0.152818i | ||||
\(287\) | 6.59831i | 0.389486i | ||||||||
\(288\) | 32.3101 | − | 42.5245i | 1.90389 | − | 2.50578i | ||||
\(289\) | 0.0723102 | + | 0.222548i | 0.00425354 | + | 0.0130911i | ||||
\(290\) | 0.0788979 | + | 0.371185i | 0.00463304 | + | 0.0217968i | ||||
\(291\) | −9.27137 | − | 4.84979i | −0.543497 | − | 0.284300i | ||||
\(292\) | −15.1784 | − | 34.0912i | −0.888248 | − | 1.99504i | ||||
\(293\) | 18.2132 | + | 20.2278i | 1.06403 | + | 1.18172i | 0.982733 | + | 0.185031i | \(0.0592385\pi\) |
0.0812937 | + | 0.996690i | \(0.474095\pi\) | |||||||
\(294\) | 22.8919 | + | 1.44576i | 1.33508 | + | 0.0843184i | ||||
\(295\) | −4.00072 | − | 1.78123i | −0.232931 | − | 0.103707i | ||||
\(296\) | 87.6328 | 5.09356 | ||||||||
\(297\) | −16.8098 | + | 3.79897i | −0.975401 | + | 0.220438i | ||||
\(298\) | 30.8503 | 1.78711 | ||||||||
\(299\) | 15.7933 | + | 7.03164i | 0.913351 | + | 0.406650i | ||||
\(300\) | −26.4126 | − | 1.66812i | −1.52493 | − | 0.0963087i | ||||
\(301\) | −2.05393 | − | 2.28112i | −0.118386 | − | 0.131481i | ||||
\(302\) | 1.16473 | + | 2.61603i | 0.0670229 | + | 0.150536i | ||||
\(303\) | 17.8682 | + | 9.34672i | 1.02650 | + | 0.536955i | ||||
\(304\) | −3.41768 | − | 16.0789i | −0.196017 | − | 0.922188i | ||||
\(305\) | −0.142320 | − | 0.438016i | −0.00814923 | − | 0.0250807i | ||||
\(306\) | −12.9863 | − | 30.9349i | −0.742379 | − | 1.76843i | ||||
\(307\) | − | 31.0795i | − | 1.77380i | −0.461960 | − | 0.886901i | \(-0.652854\pi\) | ||
0.461960 | − | 0.886901i | \(-0.347146\pi\) | |||||||
\(308\) | 5.41529 | − | 24.5813i | 0.308565 | − | 1.40065i | ||||
\(309\) | 3.60291 | + | 4.54799i | 0.204963 | + | 0.258726i | ||||
\(310\) | −15.8473 | + | 1.66562i | −0.900066 | + | 0.0946007i | ||||
\(311\) | −1.18810 | + | 5.58959i | −0.0673712 | + | 0.316956i | −0.998910 | − | 0.0466865i | \(-0.985134\pi\) |
0.931538 | + | 0.363643i | \(0.118467\pi\) | |||||||
\(312\) | 15.7593 | + | 42.4065i | 0.892192 | + | 2.40080i | ||||
\(313\) | 2.76294 | − | 26.2876i | 0.156171 | − | 1.48587i | −0.583069 | − | 0.812423i | \(-0.698148\pi\) |
0.739240 | − | 0.673442i | \(-0.235185\pi\) | |||||||
\(314\) | −0.186099 | − | 0.135209i | −0.0105021 | − | 0.00763026i | ||||
\(315\) | 5.49267 | − | 3.01618i | 0.309477 | − | 0.169943i | ||||
\(316\) | −50.0994 | + | 16.2783i | −2.81831 | + | 0.915725i | ||||
\(317\) | −0.805282 | + | 1.80869i | −0.0452291 | + | 0.101586i | −0.934747 | − | 0.355314i | \(-0.884374\pi\) |
0.889518 | + | 0.456901i | \(0.151040\pi\) | |||||||
\(318\) | 0.228646 | + | 1.55097i | 0.0128218 | + | 0.0869739i | ||||
\(319\) | −0.262629 | + | 0.187858i | −0.0147044 | + | 0.0105180i | ||||
\(320\) | −27.2064 | − | 15.7076i | −1.52089 | − | 0.878084i | ||||
\(321\) | −4.06874 | − | 15.8625i | −0.227095 | − | 0.885359i | ||||
\(322\) | −15.1124 | + | 16.7840i | −0.842178 | + | 0.935334i | ||||
\(323\) | −4.94579 | − | 1.60698i | −0.275191 | − | 0.0894150i | ||||
\(324\) | 21.8798 | + | 41.9504i | 1.21554 | + | 2.33058i | ||||
\(325\) | 5.08570 | − | 6.99986i | 0.282104 | − | 0.388283i | ||||
\(326\) | 7.71995 | − | 1.64093i | 0.427569 | − | 0.0908825i | ||||
\(327\) | −0.449051 | + | 7.11019i | −0.0248326 | + | 0.393195i | ||||
\(328\) | 4.19194 | + | 39.8836i | 0.231461 | + | 2.20220i | ||||
\(329\) | −5.23958 | + | 9.07523i | −0.288868 | + | 0.500333i | ||||
\(330\) | 7.64430 | + | 21.0456i | 0.420805 | + | 1.15852i | ||||
\(331\) | 2.03858 | + | 3.53093i | 0.112051 | + | 0.194078i | 0.916597 | − | 0.399812i | \(-0.130925\pi\) |
−0.804546 | + | 0.593890i | \(0.797591\pi\) | |||||||
\(332\) | 25.3667 | − | 18.4300i | 1.39218 | − | 1.01148i | ||||
\(333\) | −12.7706 | + | 27.1051i | −0.699825 | + | 1.48535i | ||||
\(334\) | 3.70749 | − | 11.4105i | 0.202865 | − | 0.624354i | ||||
\(335\) | −4.94508 | − | 0.519749i | −0.270179 | − | 0.0283969i | ||||
\(336\) | −32.7836 | + | 1.36614i | −1.78849 | + | 0.0745293i | ||||
\(337\) | 21.2002 | − | 19.0887i | 1.15485 | − | 1.03983i | 0.156205 | − | 0.987725i | \(-0.450074\pi\) |
0.998642 | − | 0.0521039i | \(-0.0165927\pi\) | |||||||
\(338\) | 10.9045 | + | 2.31782i | 0.593126 | + | 0.126073i | ||||
\(339\) | −9.42739 | + | 33.7338i | −0.512025 | + | 1.83217i | ||||
\(340\) | −27.3464 | + | 15.7885i | −1.48307 | + | 0.856249i | ||||
\(341\) | −6.69236 | − | 11.7921i | −0.362412 | − | 0.638580i | ||||
\(342\) | 9.85507 | + | 2.31649i | 0.532901 | + | 0.125261i | ||||
\(343\) | −10.1112 | − | 13.9169i | −0.545954 | − | 0.751441i | ||||
\(344\) | −13.8642 | − | 12.4834i | −0.747508 | − | 0.673059i | ||||
\(345\) | 2.43059 | − | 14.3495i | 0.130858 | − | 0.772551i | ||||
\(346\) | 25.7183 | − | 11.4505i | 1.38262 | − | 0.615584i | ||||
\(347\) | 9.44498 | − | 4.20518i | 0.507033 | − | 0.225746i | −0.137245 | − | 0.990537i | \(-0.543825\pi\) |
0.644278 | + | 0.764791i | \(0.277158\pi\) | |||||||
\(348\) | 0.682918 | + | 0.565235i | 0.0366082 | + | 0.0302998i | ||||
\(349\) | −13.7137 | − | 12.3479i | −0.734078 | − | 0.660967i | 0.214783 | − | 0.976662i | \(-0.431096\pi\) |
−0.948861 | + | 0.315695i | \(0.897762\pi\) | |||||||
\(350\) | 6.64399 | + | 9.14466i | 0.355136 | + | 0.488803i | ||||
\(351\) | −15.4130 | − | 1.30546i | −0.822687 | − | 0.0696805i | ||||
\(352\) | 6.60597 | − | 58.6726i | 0.352100 | − | 3.12726i | ||||
\(353\) | −11.5976 | + | 6.69588i | −0.617279 | + | 0.356386i | −0.775809 | − | 0.630968i | \(-0.782658\pi\) |
0.158530 | + | 0.987354i | \(0.449324\pi\) | |||||||
\(354\) | −13.6797 | + | 3.50885i | −0.727070 | + | 0.186493i | ||||
\(355\) | 12.9757 | + | 2.75806i | 0.688676 | + | 0.146383i | ||||
\(356\) | −19.9863 | + | 17.9958i | −1.05927 | + | 0.953774i | ||||
\(357\) | −4.81137 | + | 9.19792i | −0.254645 | + | 0.486805i | ||||
\(358\) | 26.9922 | + | 2.83700i | 1.42658 | + | 0.149940i | ||||
\(359\) | −1.92854 | + | 5.93545i | −0.101785 | + | 0.313261i | −0.988962 | − | 0.148167i | \(-0.952663\pi\) |
0.887178 | + | 0.461428i | \(0.152663\pi\) | |||||||
\(360\) | 31.2844 | − | 21.7209i | 1.64883 | − | 1.14479i | ||||
\(361\) | −14.1018 | + | 10.2456i | −0.742202 | + | 0.539241i | ||||
\(362\) | −20.8836 | − | 36.1715i | −1.09762 | − | 1.90113i | ||||
\(363\) | −13.8114 | + | 13.1242i | −0.724913 | + | 0.688841i | ||||
\(364\) | 11.2961 | − | 19.5654i | 0.592075 | − | 1.02550i | ||||
\(365\) | −1.07359 | − | 10.2145i | −0.0561944 | − | 0.534654i | ||||
\(366\) | −1.23687 | − | 0.822205i | −0.0646523 | − | 0.0429773i | ||||
\(367\) | 7.53202 | − | 1.60098i | 0.393168 | − | 0.0835705i | −0.00708542 | − | 0.999975i | \(-0.502255\pi\) |
0.400254 | + | 0.916404i | \(0.368922\pi\) | |||||||
\(368\) | −44.7939 | + | 61.6535i | −2.33504 | + | 3.21391i | ||||
\(369\) | −12.9470 | − | 4.51561i | −0.673994 | − | 0.235073i | ||||
\(370\) | 37.0240 | + | 12.0298i | 1.92479 | + | 0.625401i | ||||
\(371\) | 0.324562 | − | 0.360463i | 0.0168504 | − | 0.0187143i | ||||
\(372\) | −26.6022 | + | 26.0382i | −1.37926 | + | 1.35002i | ||||
\(373\) | −18.2379 | − | 10.5296i | −0.944321 | − | 0.545204i | −0.0530086 | − | 0.998594i | \(-0.516881\pi\) |
−0.891312 | + | 0.453390i | \(0.850214\pi\) | |||||||
\(374\) | −29.8452 | − | 22.0230i | −1.54326 | − | 1.13878i | ||||
\(375\) | −18.4212 | − | 7.29859i | −0.951266 | − | 0.376897i | ||||
\(376\) | −25.9052 | + | 58.1841i | −1.33596 | + | 3.00062i | ||||
\(377\) | −0.275637 | + | 0.0895598i | −0.0141960 | + | 0.00461256i | ||||
\(378\) | 7.84426 | − | 18.6232i | 0.403465 | − | 0.957872i | ||||
\(379\) | 24.0003 | + | 17.4372i | 1.23281 | + | 0.895691i | 0.997098 | − | 0.0761314i | \(-0.0242568\pi\) |
0.235715 | + | 0.971822i | \(0.424257\pi\) | |||||||
\(380\) | 0.995973 | − | 9.47605i | 0.0510923 | − | 0.486111i | ||||
\(381\) | 0.113647 | − | 0.137309i | 0.00582232 | − | 0.00703454i | ||||
\(382\) | −2.08062 | + | 9.78855i | −0.106454 | + | 0.500826i | ||||
\(383\) | 2.65347 | − | 0.278891i | 0.135586 | − | 0.0142506i | −0.0364924 | − | 0.999334i | \(-0.511618\pi\) |
0.172078 | + | 0.985083i | \(0.444952\pi\) | |||||||
\(384\) | −39.2162 | + | 5.78132i | −2.00124 | + | 0.295027i | ||||
\(385\) | 3.50813 | − | 5.97375i | 0.178791 | − | 0.304451i | ||||
\(386\) | 67.1784i | 3.41929i | ||||||||
\(387\) | 5.88156 | − | 2.46905i | 0.298977 | − | 0.125509i | ||||
\(388\) | 9.81361 | + | 30.2032i | 0.498210 | + | 1.53333i | ||||
\(389\) | 0.132531 | + | 0.623511i | 0.00671961 | + | 0.0316133i | 0.981380 | − | 0.192078i | \(-0.0615226\pi\) |
−0.974660 | + | 0.223691i | \(0.928189\pi\) | |||||||
\(390\) | 0.836753 | + | 20.0797i | 0.0423707 | + | 1.01678i | ||||
\(391\) | 9.80597 | + | 22.0246i | 0.495909 | + | 1.11383i | ||||
\(392\) | −28.8616 | − | 32.0541i | −1.45773 | − | 1.61897i | ||||
\(393\) | 14.7330 | − | 22.1635i | 0.743184 | − | 1.11800i | ||||
\(394\) | 47.3036 | + | 21.0609i | 2.38312 | + | 1.06103i | ||||
\(395\) | −14.4984 | −0.729492 | ||||||||
\(396\) | 44.5266 | + | 27.4481i | 2.23755 | + | 1.37932i | ||||
\(397\) | −25.2145 | −1.26548 | −0.632741 | − | 0.774364i | \(-0.718070\pi\) | ||||
−0.632741 | + | 0.774364i | \(0.718070\pi\) | |||||||
\(398\) | 64.0169 | + | 28.5021i | 3.20888 | + | 1.42868i | ||||
\(399\) | −1.39203 | − | 2.80591i | −0.0696885 | − | 0.140471i | ||||
\(400\) | 25.5211 | + | 28.3441i | 1.27606 | + | 1.41720i | ||||
\(401\) | −11.8646 | − | 26.6483i | −0.592489 | − | 1.33075i | −0.922216 | − | 0.386676i | \(-0.873623\pi\) |
0.329726 | − | 0.944077i | \(-0.393044\pi\) | |||||||
\(402\) | −13.5407 | + | 8.58865i | −0.675351 | + | 0.428363i | ||||
\(403\) | −2.53025 | − | 11.9039i | −0.126041 | − | 0.592976i | ||||
\(404\) | −18.9132 | − | 58.2088i | −0.940966 | − | 2.89600i | ||||
\(405\) | 2.15931 | + | 12.8417i | 0.107297 | + | 0.638109i | ||||
\(406\) | − | 0.378625i | − | 0.0187908i | ||||||
\(407\) | 3.21870 | + | 32.9685i | 0.159545 | + | 1.63419i | ||||
\(408\) | −23.2389 | + | 58.6537i | −1.15050 | + | 2.90379i | ||||
\(409\) | −16.5173 | + | 1.73603i | −0.816726 | + | 0.0858413i | −0.503673 | − | 0.863894i | \(-0.668018\pi\) |
−0.313053 | + | 0.949736i | \(0.601352\pi\) | |||||||
\(410\) | −3.70399 | + | 17.4259i | −0.182927 | + | 0.860603i | ||||
\(411\) | 6.35869 | + | 1.07706i | 0.313651 | + | 0.0531277i | ||||
\(412\) | 1.84080 | − | 17.5140i | 0.0906897 | − | 0.862855i | ||||
\(413\) | 3.53499 | + | 2.56832i | 0.173945 | + | 0.126379i | ||||
\(414\) | −22.5907 | − | 41.1393i | −1.11027 | − | 2.02188i | ||||
\(415\) | 8.20739 | − | 2.66674i | 0.402885 | − | 0.130905i | ||||
\(416\) | 21.5549 | − | 48.4132i | 1.05682 | − | 2.37365i | ||||
\(417\) | 23.1020 | − | 18.3014i | 1.13131 | − | 0.896224i | ||||
\(418\) | 10.6696 | − | 3.37971i | 0.521869 | − | 0.165307i | ||||
\(419\) | −8.11793 | − | 4.68689i | −0.396587 | − | 0.228969i | 0.288423 | − | 0.957503i | \(-0.406869\pi\) |
−0.685010 | + | 0.728534i | \(0.740202\pi\) | |||||||
\(420\) | −18.3174 | − | 5.11906i | −0.893799 | − | 0.249785i | ||||
\(421\) | −2.21553 | + | 2.46060i | −0.107978 | + | 0.119922i | −0.794711 | − | 0.606988i | \(-0.792378\pi\) |
0.686733 | + | 0.726910i | \(0.259044\pi\) | |||||||
\(422\) | −58.2537 | − | 18.9278i | −2.83575 | − | 0.921390i | ||||
\(423\) | −14.2214 | − | 16.4917i | −0.691468 | − | 0.801852i | ||||
\(424\) | 1.73282 | − | 2.38502i | 0.0841532 | − | 0.115827i | ||||
\(425\) | 11.8024 | − | 2.50868i | 0.572501 | − | 0.121689i | ||||
\(426\) | 38.3223 | − | 19.0119i | 1.85672 | − | 0.921128i | ||||
\(427\) | 0.0480331 | + | 0.457005i | 0.00232449 | + | 0.0221160i | ||||
\(428\) | −24.8519 | + | 43.0448i | −1.20126 | + | 2.08065i | ||||
\(429\) | −15.3750 | + | 7.48638i | −0.742312 | + | 0.361446i | ||||
\(430\) | −4.14383 | − | 7.17732i | −0.199833 | − | 0.346121i | ||||
\(431\) | 1.72195 | − | 1.25107i | 0.0829434 | − | 0.0602619i | −0.545541 | − | 0.838084i | \(-0.683676\pi\) |
0.628484 | + | 0.777822i | \(0.283676\pi\) | |||||||
\(432\) | 19.7551 | − | 65.2619i | 0.950467 | − | 3.13991i | ||||
\(433\) | −4.76068 | + | 14.6519i | −0.228784 | + | 0.704124i | 0.769102 | + | 0.639126i | \(0.220704\pi\) |
−0.997885 | + | 0.0649975i | \(0.979296\pi\) | |||||||
\(434\) | 15.8117 | + | 1.66187i | 0.758984 | + | 0.0797724i | ||||
\(435\) | 0.130685 | + | 0.206037i | 0.00626588 | + | 0.00987870i | ||||
\(436\) | 16.0694 | − | 14.4690i | 0.769587 | − | 0.692939i | ||||
\(437\) | −7.11582 | − | 1.51251i | −0.340396 | − | 0.0723534i | ||||
\(438\) | −23.1683 | − | 23.6700i | −1.10702 | − | 1.13100i | ||||
\(439\) | −31.0083 | + | 17.9026i | −1.47995 | + | 0.854447i | −0.999742 | − | 0.0227105i | \(-0.992770\pi\) |
−0.480203 | + | 0.877157i | \(0.659437\pi\) | |||||||
\(440\) | 17.4098 | − | 38.3372i | 0.829981 | − | 1.82765i | ||||
\(441\) | 14.1204 | − | 4.25579i | 0.672399 | − | 0.202656i | ||||
\(442\) | −19.5682 | − | 26.9333i | −0.930764 | − | 1.28109i | ||||
\(443\) | −8.91597 | − | 8.02798i | −0.423611 | − | 0.381421i | 0.429572 | − | 0.903032i | \(-0.358664\pi\) |
−0.853183 | + | 0.521612i | \(0.825331\pi\) | |||||||
\(444\) | 85.2460 | − | 31.6794i | 4.04560 | − | 1.50344i | ||||
\(445\) | −6.76211 | + | 3.01068i | −0.320555 | + | 0.142720i | ||||
\(446\) | 55.9835 | − | 24.9255i | 2.65090 | − | 1.18026i | ||||
\(447\) | 18.5930 | − | 6.90958i | 0.879417 | − | 0.326812i | ||||
\(448\) | 23.2936 | + | 20.9737i | 1.10052 | + | 0.990913i | ||||
\(449\) | −15.0088 | − | 20.6578i | −0.708307 | − | 0.974901i | −0.999832 | − | 0.0183378i | \(-0.994163\pi\) |
0.291525 | − | 0.956563i | \(-0.405837\pi\) | |||||||
\(450\) | −22.4903 | + | 6.77841i | −1.06020 | + | 0.319537i | ||||
\(451\) | −14.8507 | + | 3.04196i | −0.699292 | + | 0.143240i | ||||
\(452\) | 92.0676 | − | 53.1552i | 4.33050 | − | 2.50021i | ||||
\(453\) | 1.28788 | + | 1.31577i | 0.0605100 | + | 0.0618205i | ||||
\(454\) | −21.4166 | − | 4.55224i | −1.00513 | − | 0.213647i | ||||
\(455\) | 4.62087 | − | 4.16065i | 0.216630 | − | 0.195054i | ||||
\(456\) | −10.1967 | − | 16.0760i | −0.477506 | − | 0.752829i | ||||
\(457\) | −1.01435 | − | 0.106612i | −0.0474492 | − | 0.00498711i | 0.0807741 | − | 0.996732i | \(-0.474261\pi\) |
−0.128223 | + | 0.991745i | \(0.540927\pi\) | |||||||
\(458\) | −11.3160 | + | 34.8272i | −0.528764 | + | 1.62737i | ||||
\(459\) | −14.7552 | − | 15.7354i | −0.688713 | − | 0.734465i | ||||
\(460\) | −35.7370 | + | 25.9645i | −1.66625 | + | 1.21060i | ||||
\(461\) | −2.26202 | − | 3.91794i | −0.105353 | − | 0.182477i | 0.808529 | − | 0.588456i | \(-0.200264\pi\) |
−0.913882 | + | 0.405979i | \(0.866931\pi\) | |||||||
\(462\) | −3.09466 | − | 22.1252i | −0.143976 | − | 1.02936i | ||||
\(463\) | 4.22594 | − | 7.31953i | 0.196396 | − | 0.340168i | −0.750961 | − | 0.660346i | \(-0.770410\pi\) |
0.947357 | + | 0.320179i | \(0.103743\pi\) | |||||||
\(464\) | −0.133543 | − | 1.27058i | −0.00619959 | − | 0.0589852i | ||||
\(465\) | −9.17786 | + | 4.55318i | −0.425613 | + | 0.211149i | ||||
\(466\) | 13.3265 | − | 2.83264i | 0.617339 | − | 0.131219i | ||||
\(467\) | −3.64591 | + | 5.01817i | −0.168713 | + | 0.232213i | −0.884998 | − | 0.465594i | \(-0.845841\pi\) |
0.716286 | + | 0.697807i | \(0.245841\pi\) | |||||||
\(468\) | 30.6601 | + | 35.5546i | 1.41726 | + | 1.64351i | ||||
\(469\) | 4.71832 | + | 1.53308i | 0.217872 | + | 0.0707909i | ||||
\(470\) | −18.9320 | + | 21.0261i | −0.873266 | + | 0.969860i | ||||
\(471\) | −0.142441 | − | 0.0398073i | −0.00656335 | − | 0.00183422i | ||||
\(472\) | 22.9990 | + | 13.2785i | 1.05861 | + | 0.611191i | ||||
\(473\) | 4.18717 | − | 5.67438i | 0.192526 | − | 0.260908i | ||||
\(474\) | −36.6483 | + | 29.0328i | −1.68331 | + | 1.33352i | ||||
\(475\) | −1.48089 | + | 3.32613i | −0.0679479 | + | 0.152614i | ||||
\(476\) | 29.9639 | − | 9.73586i | 1.37339 | − | 0.446242i | ||||
\(477\) | 0.485173 | + | 0.883533i | 0.0222146 | + | 0.0404542i | ||||
\(478\) | −43.9497 | − | 31.9314i | −2.01021 | − | 1.46051i | ||||
\(479\) | −2.33164 | + | 22.1841i | −0.106535 | + | 1.01362i | 0.802430 | + | 0.596746i | \(0.203540\pi\) |
−0.908966 | + | 0.416871i | \(0.863127\pi\) | |||||||
\(480\) | −43.9873 | − | 7.45077i | −2.00774 | − | 0.340079i | ||||
\(481\) | −6.18159 | + | 29.0821i | −0.281856 | + | 1.32603i | ||||
\(482\) | −75.8224 | + | 7.96925i | −3.45361 | + | 0.362989i | ||||
\(483\) | −5.34885 | + | 13.5002i | −0.243381 | + | 0.614279i | ||||
\(484\) | 57.8212 | + | 0.855641i | 2.62824 | + | 0.0388928i | ||||
\(485\) | 8.74055i | 0.396888i | ||||||||
\(486\) | 31.1735 | + | 28.1367i | 1.41406 | + | 1.27631i | ||||
\(487\) | 10.5290 | + | 32.4051i | 0.477117 | + | 1.46841i | 0.843082 | + | 0.537786i | \(0.180739\pi\) |
−0.365965 | + | 0.930629i | \(0.619261\pi\) | |||||||
\(488\) | 0.580675 | + | 2.73186i | 0.0262859 | + | 0.123665i | ||||
\(489\) | 4.28517 | − | 2.71801i | 0.193782 | − | 0.122913i | ||||
\(490\) | −7.79351 | − | 17.5045i | −0.352075 | − | 0.790773i | ||||
\(491\) | 12.5962 | + | 13.9895i | 0.568460 | + | 0.631338i | 0.956998 | − | 0.290094i | \(-0.0936866\pi\) |
−0.388539 | + | 0.921432i | \(0.627020\pi\) | |||||||
\(492\) | 18.4958 | + | 37.2819i | 0.833853 | + | 1.68080i | ||||
\(493\) | −0.369228 | − | 0.164391i | −0.0166292 | − | 0.00740380i | ||||
\(494\) | 10.0456 | 0.451972 | ||||||||
\(495\) | 9.32071 | + | 10.9717i | 0.418935 | + | 0.493143i | ||||
\(496\) | 53.6466 | 2.40880 | ||||||||
\(497\) | −12.0914 | − | 5.38345i | −0.542375 | − | 0.241481i | ||||
\(498\) | 15.4062 | − | 23.1761i | 0.690367 | − | 1.03854i | ||||
\(499\) | 5.08399 | + | 5.64634i | 0.227591 | + | 0.252765i | 0.846115 | − | 0.533001i | \(-0.178936\pi\) |
−0.618524 | + | 0.785766i | \(0.712269\pi\) | |||||||
\(500\) | 24.4611 | + | 54.9404i | 1.09393 | + | 2.45701i | ||||
\(501\) | −0.321175 | − | 7.70728i | −0.0143490 | − | 0.344336i | ||||
\(502\) | 13.0998 | + | 61.6298i | 0.584674 | + | 2.75067i | ||||
\(503\) | 8.18033 | + | 25.1765i | 0.364743 | + | 1.12256i | 0.950142 | + | 0.311818i | \(0.100938\pi\) |
−0.585399 | + | 0.810745i | \(0.699062\pi\) | |||||||
\(504\) | −35.0378 | + | 14.7087i | −1.56071 | + | 0.655178i | ||||
\(505\) | − | 16.8451i | − | 0.749599i | ||||||
\(506\) | −44.7425 | − | 26.2754i | −1.98905 | − | 1.16808i | ||||
\(507\) | 7.09109 | − | 1.04538i | 0.314926 | − | 0.0464269i | ||||
\(508\) | −0.538022 | + | 0.0565484i | −0.0238709 | + | 0.00250893i | ||||
\(509\) | 2.65076 | − | 12.4708i | 0.117493 | − | 0.552760i | −0.879543 | − | 0.475820i | \(-0.842151\pi\) |
0.997036 | − | 0.0769406i | \(-0.0245152\pi\) | |||||||
\(510\) | −17.8699 | + | 21.5905i | −0.791294 | + | 0.956042i | ||||
\(511\) | −1.07118 | + | 10.1916i | −0.0473861 | + | 0.450849i | ||||
\(512\) | 2.69612 | + | 1.95884i | 0.119153 | + | 0.0865695i | ||||
\(513\) | 6.45832 | − | 0.811144i | 0.285142 | − | 0.0358129i | ||||
\(514\) | 1.06700 | − | 0.346689i | 0.0470633 | − | 0.0152918i | ||||
\(515\) | 1.97141 | − | 4.42787i | 0.0868709 | − | 0.195115i | ||||
\(516\) | −17.9994 | − | 7.13146i | −0.792378 | − | 0.313945i | ||||
\(517\) | −22.8410 | − | 7.60878i | −1.00455 | − | 0.334634i | ||||
\(518\) | −33.6380 | − | 19.4209i | −1.47797 | − | 0.853305i | ||||
\(519\) | 12.9354 | − | 12.6612i | 0.567802 | − | 0.555766i | ||||
\(520\) | 25.2877 | − | 28.0848i | 1.10894 | − | 1.23160i | ||||
\(521\) | 6.80629 | + | 2.21150i | 0.298189 | + | 0.0968875i | 0.454291 | − | 0.890854i | \(-0.349893\pi\) |
−0.156102 | + | 0.987741i | \(0.549893\pi\) | |||||||
\(522\) | 0.742926 | + | 0.259115i | 0.0325170 | + | 0.0113411i | ||||
\(523\) | 18.1933 | − | 25.0410i | 0.795539 | − | 1.09497i | −0.197857 | − | 0.980231i | \(-0.563398\pi\) |
0.993396 | − | 0.114734i | \(-0.0366017\pi\) | |||||||
\(524\) | −79.0112 | + | 16.7944i | −3.45162 | + | 0.733665i | ||||
\(525\) | 6.05237 | + | 4.02328i | 0.264147 | + | 0.175590i | ||||
\(526\) | −7.91758 | − | 75.3308i | −0.345223 | − | 3.28458i | ||||
\(527\) | 8.48573 | − | 14.6977i | 0.369644 | − | 0.640243i | ||||
\(528\) | −18.1887 | − | 73.1556i | −0.791560 | − | 3.18369i | ||||
\(529\) | 5.36315 | + | 9.28924i | 0.233180 | + | 0.403880i | ||||
\(530\) | 1.05950 | − | 0.769775i | 0.0460219 | − | 0.0334369i | ||||
\(531\) | −7.45867 | + | 5.17860i | −0.323679 | + | 0.224732i | ||||
\(532\) | −2.93777 | + | 9.04152i | −0.127368 | + | 0.392000i | ||||
\(533\) | −13.5316 | − | 1.42223i | −0.586118 | − | 0.0616035i | ||||
\(534\) | −11.0641 | + | 21.1513i | −0.478791 | + | 0.915306i | ||||
\(535\) | −10.1661 | + | 9.15362i | −0.439520 | + | 0.395746i | ||||
\(536\) | 29.4940 | + | 6.26914i | 1.27395 | + | 0.270785i | ||||
\(537\) | 16.9032 | − | 4.33567i | 0.729427 | − | 0.187098i | ||||
\(538\) | 31.6392 | − | 18.2669i | 1.36406 | − | 0.787541i | ||||
\(539\) | 10.9990 | − | 12.0354i | 0.473762 | − | 0.518401i | ||||
\(540\) | 22.5802 | − | 32.4386i | 0.971695 | − | 1.39594i | ||||
\(541\) | 25.5272 | + | 35.1352i | 1.09750 | + | 1.51058i | 0.838656 | + | 0.544661i | \(0.183342\pi\) |
0.258845 | + | 0.965919i | \(0.416658\pi\) | |||||||
\(542\) | 22.3049 | + | 20.0834i | 0.958077 | + | 0.862657i | ||||
\(543\) | −20.6876 | − | 17.1226i | −0.887789 | − | 0.734802i | ||||
\(544\) | 67.5146 | − | 30.0594i | 2.89466 | − | 1.28879i | ||||
\(545\) | 5.43688 | − | 2.42066i | 0.232890 | − | 0.103689i | ||||
\(546\) | 3.34879 | − | 19.7703i | 0.143315 | − | 0.846092i | ||||
\(547\) | −5.55409 | − | 5.00092i | −0.237476 | − | 0.213824i | 0.541796 | − | 0.840510i | \(-0.317744\pi\) |
−0.779272 | + | 0.626686i | \(0.784411\pi\) | |||||||
\(548\) | −11.5056 | − | 15.8361i | −0.491496 | − | 0.676487i | ||||
\(549\) | −0.929593 | − | 0.218506i | −0.0396741 | − | 0.00932560i | ||||
\(550\) | −17.5187 | + | 19.1694i | −0.747001 | + | 0.817386i | ||||
\(551\) | 0.105618 | − | 0.0609787i | 0.00449949 | − | 0.00259778i | ||||
\(552\) | −23.7545 | + | 85.0002i | −1.01106 | + | 3.61785i | ||||
\(553\) | 14.1496 | + | 3.00760i | 0.601704 | + | 0.127896i | ||||
\(554\) | 19.5876 | − | 17.6368i | 0.832199 | − | 0.749315i | ||||
\(555\) | 25.0081 | − | 1.04213i | 1.06154 | − | 0.0442359i | ||||
\(556\) | −88.9646 | − | 9.35056i | −3.77294 | − | 0.396552i | ||||
\(557\) | 8.26967 | − | 25.4514i | 0.350397 | − | 1.07841i | −0.608233 | − | 0.793758i | \(-0.708121\pi\) |
0.958631 | − | 0.284653i | \(-0.0918785\pi\) | |||||||
\(558\) | −14.0817 | + | 29.8879i | −0.596126 | + | 1.26525i | ||||
\(559\) | 5.12075 | − | 3.72044i | 0.216585 | − | 0.157358i | ||||
\(560\) | 13.7049 | + | 23.7376i | 0.579139 | + | 1.00310i | ||||
\(561\) | −22.9197 | − | 6.58844i | −0.967672 | − | 0.278164i | ||||
\(562\) | −16.4124 | + | 28.4270i | −0.692314 | + | 1.19912i | ||||
\(563\) | −2.44072 | − | 23.2219i | −0.102864 | − | 0.978688i | −0.917236 | − | 0.398344i | \(-0.869585\pi\) |
0.814372 | − | 0.580343i | \(-0.197082\pi\) | |||||||
\(564\) | −4.16604 | + | 65.9642i | −0.175422 | + | 2.77759i | ||||
\(565\) | 28.6202 | − | 6.08342i | 1.20406 | − | 0.255931i | ||||
\(566\) | 24.3742 | − | 33.5483i | 1.02453 | − | 1.41014i | ||||
\(567\) | 0.556559 | − | 12.9808i | 0.0233733 | − | 0.545141i | ||||
\(568\) | −76.5070 | − | 24.8586i | −3.21016 | − | 1.04305i | ||||
\(569\) | 3.63387 | − | 4.03583i | 0.152340 | − | 0.169191i | −0.662144 | − | 0.749376i | \(-0.730353\pi\) |
0.814484 | + | 0.580186i | \(0.197020\pi\) | |||||||
\(570\) | −2.10118 | − | 8.19172i | −0.0880087 | − | 0.343114i | ||||
\(571\) | −8.79380 | − | 5.07710i | −0.368009 | − | 0.212470i | 0.304579 | − | 0.952487i | \(-0.401484\pi\) |
−0.672588 | + | 0.740017i | \(0.734817\pi\) | |||||||
\(572\) | 49.2432 | + | 16.4039i | 2.05896 | + | 0.685880i | ||||
\(573\) | 0.938397 | + | 6.36540i | 0.0392021 | + | 0.265918i | ||||
\(574\) | 7.22980 | − | 16.2384i | 0.301766 | − | 0.677777i | ||||
\(575\) | 16.0533 | − | 5.21603i | 0.669468 | − | 0.217523i | ||||
\(576\) | −57.0951 | + | 31.3526i | −2.37896 | + | 1.30636i | ||||
\(577\) | 17.0075 | + | 12.3566i | 0.708029 | + | 0.514414i | 0.882537 | − | 0.470242i | \(-0.155833\pi\) |
−0.174508 | + | 0.984656i | \(0.555833\pi\) | |||||||
\(578\) | 0.0658919 | − | 0.626919i | 0.00274074 | − | 0.0260764i | ||||
\(579\) | 15.0460 | + | 40.4873i | 0.625292 | + | 1.68260i | ||||
\(580\) | 0.153967 | − | 0.724357i | 0.00639313 | − | 0.0300773i | ||||
\(581\) | −8.56319 | + | 0.900028i | −0.355261 | + | 0.0373394i | ||||
\(582\) | 17.5028 | + | 22.0940i | 0.725515 | + | 0.915825i | ||||
\(583\) | 0.960918 | + | 0.564306i | 0.0397972 | + | 0.0233712i | ||||
\(584\) | 62.2837i | 2.57732i | ||||||||
\(585\) | 5.00157 | + | 11.9143i | 0.206790 | + | 0.492596i | ||||
\(586\) | −22.6588 | − | 69.7367i | −0.936028 | − | 2.88080i | ||||
\(587\) | −9.06898 | − | 42.6662i | −0.374317 | − | 1.76102i | −0.613155 | − | 0.789962i | \(-0.710100\pi\) |
0.238839 | − | 0.971059i | \(-0.423233\pi\) | |||||||
\(588\) | −39.6631 | − | 20.7475i | −1.63568 | − | 0.855613i | ||||
\(589\) | 2.08294 | + | 4.67835i | 0.0858259 | + | 0.192768i | ||||
\(590\) | 7.89403 | + | 8.76721i | 0.324992 | + | 0.360940i | ||||
\(591\) | 33.2262 | + | 2.09843i | 1.36674 | + | 0.0863180i | ||||
\(592\) | −119.731 | − | 53.3079i | −4.92093 | − | 2.19094i | ||||
\(593\) | 37.0300 | 1.52064 | 0.760319 | − | 0.649549i | \(-0.225042\pi\) | ||||
0.760319 | + | 0.649549i | \(0.225042\pi\) | |||||||
\(594\) | 45.5312 | + | 9.06930i | 1.86817 | + | 0.372118i | ||||
\(595\) | 8.67130 | 0.355489 | ||||||||
\(596\) | −54.9986 | − | 24.4869i | −2.25283 | − | 1.00302i | ||||
\(597\) | 44.9656 | + | 2.83985i | 1.84032 | + | 0.116227i | ||||
\(598\) | −31.1626 | − | 34.6096i | −1.27433 | − | 1.41529i | ||||
\(599\) | −9.79998 | − | 22.0111i | −0.400416 | − | 0.899350i | −0.995417 | − | 0.0956251i | \(-0.969515\pi\) |
0.595001 | − | 0.803725i | \(-0.297152\pi\) | |||||||
\(600\) | 39.1397 | + | 20.4737i | 1.59787 | + | 0.835836i | ||||
\(601\) | 3.88387 | + | 18.2722i | 0.158426 | + | 0.745337i | 0.983586 | + | 0.180438i | \(0.0577516\pi\) |
−0.825160 | + | 0.564899i | \(0.808915\pi\) | |||||||
\(602\) | 2.55527 | + | 7.86431i | 0.104145 | + | 0.320525i | ||||
\(603\) | −6.23718 | + | 8.20898i | −0.253998 | + | 0.334296i | ||||
\(604\) | − | 5.58824i | − | 0.227382i | ||||||
\(605\) | 15.0624 | + | 5.14167i | 0.612372 | + | 0.209039i | ||||
\(606\) | −33.7322 | − | 42.5804i | −1.37028 | − | 1.72971i | ||||
\(607\) | 24.4696 | − | 2.57186i | 0.993192 | − | 0.104389i | 0.406032 | − | 0.913859i | \(-0.366912\pi\) |
0.587161 | + | 0.809470i | \(0.300246\pi\) | |||||||
\(608\) | −4.63650 | + | 21.8130i | −0.188035 | + | 0.884634i | ||||
\(609\) | −0.0848010 | − | 0.228191i | −0.00343631 | − | 0.00924677i | ||||
\(610\) | −0.129688 | + | 1.23390i | −0.00525090 | + | 0.0499590i | ||||
\(611\) | −17.4818 | − | 12.7013i | −0.707238 | − | 0.513839i | ||||
\(612\) | −1.40261 | + | 65.4571i | −0.0566973 | + | 2.64595i | ||||
\(613\) | 21.4976 | − | 6.98501i | 0.868282 | − | 0.282122i | 0.159199 | − | 0.987247i | \(-0.449109\pi\) |
0.709083 | + | 0.705125i | \(0.249109\pi\) | |||||||
\(614\) | −34.0539 | + | 76.4864i | −1.37431 | + | 3.08674i | ||||
\(615\) | 1.67056 | + | 11.3319i | 0.0673636 | + | 0.456946i | ||||
\(616\) | −24.9439 | + | 33.8036i | −1.00502 | + | 1.36198i | ||||
\(617\) | 8.17258 | + | 4.71844i | 0.329016 | + | 0.189957i | 0.655404 | − | 0.755278i | \(-0.272498\pi\) |
−0.326388 | + | 0.945236i | \(0.605832\pi\) | |||||||
\(618\) | −3.88349 | − | 15.1403i | −0.156217 | − | 0.609032i | ||||
\(619\) | −8.95871 | + | 9.94965i | −0.360081 | + | 0.399910i | −0.895779 | − | 0.444499i | \(-0.853382\pi\) |
0.535698 | + | 0.844409i | \(0.320048\pi\) | |||||||
\(620\) | 29.5739 | + | 9.60915i | 1.18772 | + | 0.385913i | ||||
\(621\) | −22.8291 | − | 19.7343i | −0.916100 | − | 0.791910i | ||||
\(622\) | 9.04845 | − | 12.4541i | 0.362810 | − | 0.499365i | ||||
\(623\) | 7.22401 | − | 1.53551i | 0.289424 | − | 0.0615190i | ||||
\(624\) | 4.26467 | − | 67.5259i | 0.170723 | − | 2.70320i | ||||
\(625\) | 0.211100 | + | 2.00849i | 0.00844401 | + | 0.0803394i | ||||
\(626\) | −35.6031 | + | 61.6663i | −1.42298 | + | 2.46468i | ||||
\(627\) | 5.67347 | − | 4.42659i | 0.226576 | − | 0.176781i | ||||
\(628\) | 0.224449 | + | 0.388757i | 0.00895648 | + | 0.0155131i | ||||
\(629\) | −33.5439 | + | 24.3710i | −1.33748 | + | 0.971737i | ||||
\(630\) | −16.8223 | + | 1.40446i | −0.670215 | + | 0.0559550i | ||||
\(631\) | −3.99811 | + | 12.3049i | −0.159162 | + | 0.489851i | −0.998559 | − | 0.0536685i | \(-0.982909\pi\) |
0.839397 | + | 0.543519i | \(0.182909\pi\) | |||||||
\(632\) | 87.4386 | + | 9.19017i | 3.47812 | + | 0.365565i | ||||
\(633\) | −39.3479 | + | 1.63969i | −1.56394 | + | 0.0651718i | ||||
\(634\) | 3.96358 | − | 3.56883i | 0.157414 | − | 0.141736i | ||||
\(635\) | −0.145641 | − | 0.0309569i | −0.00577957 | − | 0.00122849i | ||||
\(636\) | 0.823436 | − | 2.94648i | 0.0326514 | − | 0.116836i | ||||
\(637\) | 12.6734 | − | 7.31701i | 0.502140 | − | 0.289911i | ||||
\(638\) | 0.852164 | − | 0.174554i | 0.0337375 | − | 0.00691065i | ||||
\(639\) | 18.8381 | − | 20.0412i | 0.745224 | − | 0.792819i | ||||
\(640\) | 19.4638 | + | 26.7896i | 0.769373 | + | 1.05895i | ||||
\(641\) | 7.42438 | + | 6.68494i | 0.293245 | + | 0.264039i | 0.802600 | − | 0.596517i | \(-0.203449\pi\) |
−0.509355 | + | 0.860557i | \(0.670116\pi\) | |||||||
\(642\) | −7.36749 | + | 43.4957i | −0.290772 | + | 1.71664i | ||||
\(643\) | −11.5865 | + | 5.15863i | −0.456926 | + | 0.203436i | −0.622275 | − | 0.782799i | \(-0.713791\pi\) |
0.165349 | + | 0.986235i | \(0.447125\pi\) | |||||||
\(644\) | 40.2637 | − | 17.9265i | 1.58661 | − | 0.706405i | ||||
\(645\) | −4.10493 | − | 3.39756i | −0.161632 | − | 0.133779i | ||||
\(646\) | 10.4108 | + | 9.37390i | 0.409606 | + | 0.368811i | ||||
\(647\) | 19.3401 | + | 26.6193i | 0.760337 | + | 1.04651i | 0.997186 | + | 0.0749678i | \(0.0238854\pi\) |
−0.236849 | + | 0.971547i | \(0.576115\pi\) | |||||||
\(648\) | −4.88261 | − | 78.8161i | −0.191807 | − | 3.09619i | ||||
\(649\) | −4.15077 | + | 9.14018i | −0.162932 | + | 0.358784i | ||||
\(650\) | −20.1856 | + | 11.6542i | −0.791746 | + | 0.457115i | ||||
\(651\) | 9.90165 | − | 2.53977i | 0.388076 | − | 0.0995416i | ||||
\(652\) | −15.0653 | − | 3.20222i | −0.590001 | − | 0.125409i | ||||
\(653\) | 15.8756 | − | 14.2944i | 0.621259 | − | 0.559384i | −0.297242 | − | 0.954802i | \(-0.596067\pi\) |
0.918501 | + | 0.395418i | \(0.129400\pi\) | |||||||
\(654\) | 8.89578 | − | 17.0061i | 0.347853 | − | 0.664991i | ||||
\(655\) | −22.1101 | − | 2.32387i | −0.863914 | − | 0.0908010i | ||||
\(656\) | 18.5342 | − | 57.0424i | 0.723639 | − | 2.22713i | ||||
\(657\) | −19.2645 | − | 9.07652i | −0.751582 | − | 0.354109i | ||||
\(658\) | 22.8383 | − | 16.5930i | 0.890331 | − | 0.646863i | ||||
\(659\) | −5.34609 | − | 9.25969i | −0.208254 | − | 0.360706i | 0.742911 | − | 0.669391i | \(-0.233445\pi\) |
−0.951165 | + | 0.308684i | \(0.900111\pi\) | |||||||
\(660\) | 3.07668 | − | 43.5867i | 0.119760 | − | 1.69661i | ||||
\(661\) | −14.6301 | + | 25.3401i | −0.569045 | + | 0.985615i | 0.427616 | + | 0.903961i | \(0.359354\pi\) |
−0.996661 | + | 0.0816544i | \(0.973980\pi\) | |||||||
\(662\) | −1.14808 | − | 10.9233i | −0.0446215 | − | 0.424545i | ||||
\(663\) | −17.8257 | − | 11.8496i | −0.692294 | − | 0.460199i | ||||
\(664\) | −51.1886 | + | 10.8805i | −1.98650 | + | 0.422244i | ||||
\(665\) | −1.53796 | + | 2.11683i | −0.0596397 | + | 0.0820870i | ||||
\(666\) | 61.1275 | − | 52.7126i | 2.36864 | − | 2.04257i | ||||
\(667\) | −0.537728 | − | 0.174718i | −0.0208209 | − | 0.00676512i | ||||
\(668\) | −15.6664 | + | 17.3994i | −0.606153 | + | 0.673201i | ||||
\(669\) | 28.1578 | − | 27.5609i | 1.08864 | − | 1.06557i | ||||
\(670\) | 11.6003 | + | 6.69744i | 0.448159 | + | 0.258745i | ||||
\(671\) | −1.00643 | + | 0.318796i | −0.0388528 | + | 0.0123070i | ||||
\(672\) | 41.3837 | + | 16.3965i | 1.59641 | + | 0.632508i | ||||
\(673\) | −16.9757 | + | 38.1281i | −0.654366 | + | 1.46973i | 0.215531 | + | 0.976497i | \(0.430852\pi\) |
−0.869897 | + | 0.493233i | \(0.835815\pi\) | |||||||
\(674\) | −73.0890 | + | 23.7481i | −2.81528 | + | 0.914741i | ||||
\(675\) | −12.0363 | + | 9.12241i | −0.463279 | + | 0.351122i | ||||
\(676\) | −17.6003 | − | 12.7874i | −0.676935 | − | 0.491822i | ||||
\(677\) | −3.10946 | + | 29.5845i | −0.119506 | + | 1.13703i | 0.756254 | + | 0.654278i | \(0.227028\pi\) |
−0.875760 | + | 0.482747i | \(0.839639\pi\) | |||||||
\(678\) | 60.1630 | − | 72.6890i | 2.31055 | − | 2.79160i | ||||
\(679\) | 1.81318 | − | 8.53032i | 0.0695833 | − | 0.327364i | ||||
\(680\) | 52.4139 | − | 5.50892i | 2.00998 | − | 0.211257i | ||||
\(681\) | −13.9270 | + | 2.05314i | −0.533684 | + | 0.0786766i | ||||
\(682\) | 3.54915 | + | 36.3532i | 0.135904 | + | 1.39204i | ||||
\(683\) | − | 27.9122i | − | 1.06803i | −0.845475 | − | 0.534015i | \(-0.820683\pi\) | ||
0.845475 | − | 0.534015i | \(-0.179317\pi\) | |||||||
\(684\) | −15.7305 | − | 11.9520i | −0.601472 | − | 0.456998i | ||||
\(685\) | −1.66482 | − | 5.12378i | −0.0636094 | − | 0.195770i | ||||
\(686\) | 9.63482 | + | 45.3283i | 0.367859 | + | 1.73064i | ||||
\(687\) | 0.980294 | + | 23.5243i | 0.0374006 | + | 0.897507i | ||||
\(688\) | 11.3487 | + | 25.4896i | 0.432665 | + | 0.971782i | ||||
\(689\) | 0.669268 | + | 0.743298i | 0.0254971 | + | 0.0283174i | ||||
\(690\) | −21.7045 | + | 32.6508i | −0.826275 | + | 1.24300i | ||||
\(691\) | 1.17256 | + | 0.522059i | 0.0446064 | + | 0.0198601i | 0.428919 | − | 0.903343i | \(-0.358895\pi\) |
−0.384312 | + | 0.923203i | \(0.625561\pi\) | |||||||
\(692\) | −54.9382 | −2.08844 | ||||||||
\(693\) | −6.82050 | − | 12.6414i | −0.259089 | − | 0.480206i | ||||
\(694\) | −27.8516 | −1.05723 | ||||||||
\(695\) | −22.4919 | − | 10.0140i | −0.853165 | − | 0.379854i | ||||
\(696\) | −0.657553 | − | 1.32543i | −0.0249245 | − | 0.0502403i | ||||
\(697\) | −12.6964 | − | 14.1008i | −0.480910 | − | 0.534104i | ||||
\(698\) | 20.2197 | + | 45.4142i | 0.765327 | + | 1.71895i | ||||
\(699\) | 7.39725 | − | 4.69194i | 0.279790 | − | 0.177466i | ||||
\(700\) | −4.58618 | − | 21.5763i | −0.173341 | − | 0.815507i | ||||
\(701\) | −9.82030 | − | 30.2238i | −0.370908 | − | 1.14154i | −0.946198 | − | 0.323588i | \(-0.895111\pi\) |
0.575290 | − | 0.817949i | \(-0.304889\pi\) | |||||||
\(702\) | 36.5010 | + | 20.1009i | 1.37764 | + | 0.758659i | ||||
\(703\) | − | 12.5112i | − | 0.471869i | ||||||
\(704\) | −36.4662 | + | 62.0959i | −1.37437 | + | 2.34033i | ||||
\(705\) | −6.70075 | + | 16.9123i | −0.252365 | + | 0.636954i | ||||
\(706\) | 35.8783 | − | 3.77097i | 1.35030 | − | 0.141922i | ||||
\(707\) | −3.49443 | + | 16.4400i | −0.131421 | + | 0.618289i | ||||
\(708\) | 27.1727 | + | 4.60264i | 1.02121 | + | 0.172978i | ||||
\(709\) | −0.0500839 | + | 0.476516i | −0.00188094 | + | 0.0178959i | −0.995422 | − | 0.0955763i | \(-0.969531\pi\) |
0.993541 | + | 0.113472i | \(0.0361973\pi\) | |||||||
\(710\) | −28.9110 | − | 21.0050i | −1.08501 | − | 0.788305i | ||||
\(711\) | −15.5848 | + | 25.7057i | −0.584477 | + | 0.964041i | ||||
\(712\) | 42.6902 | − | 13.8709i | 1.59988 | − | 0.519833i | ||||
\(713\) | 9.65659 | − | 21.6891i | 0.361642 | − | 0.812262i | ||||
\(714\) | 21.9189 | − | 17.3642i | 0.820296 | − | 0.649837i | ||||
\(715\) | 11.4946 | + | 8.48197i | 0.429874 | + | 0.317208i | ||||
\(716\) | −45.8688 | − | 26.4823i | −1.71420 | − | 0.989692i | ||||
\(717\) | −33.6395 | − | 9.40104i | −1.25629 | − | 0.351088i | ||||
\(718\) | 11.2496 | − | 12.4940i | 0.419833 | − | 0.466271i | ||||
\(719\) | 22.0526 | + | 7.16534i | 0.822425 | + | 0.267222i | 0.689851 | − | 0.723951i | \(-0.257676\pi\) |
0.132574 | + | 0.991173i | \(0.457676\pi\) | |||||||
\(720\) | −55.9564 | + | 10.6464i | −2.08537 | + | 0.396767i | ||||
\(721\) | −2.84253 | + | 3.91241i | −0.105862 | + | 0.145706i | ||||
\(722\) | 45.9306 | − | 9.76285i | 1.70936 | − | 0.363336i | ||||
\(723\) | −43.9120 | + | 21.7850i | −1.63311 | + | 0.810192i | ||||
\(724\) | 8.51985 | + | 81.0610i | 0.316638 | + | 3.01261i | ||||
\(725\) | −0.141487 | + | 0.245062i | −0.00525468 | + | 0.00910137i | ||||
\(726\) | 48.3701 | − | 17.1653i | 1.79518 | − | 0.637062i | ||||
\(727\) | −19.7219 | − | 34.1593i | −0.731444 | − | 1.26690i | −0.956266 | − | 0.292498i | \(-0.905513\pi\) |
0.224822 | − | 0.974400i | \(-0.427820\pi\) | |||||||
\(728\) | −30.5055 | + | 22.1635i | −1.13061 | + | 0.821435i | ||||
\(729\) | 25.0896 | + | 9.97556i | 0.929245 | + | 0.369465i | ||||
\(730\) | −8.55002 | + | 26.3143i | −0.316450 | + | 0.973934i | ||||
\(731\) | 8.77859 | + | 0.922667i | 0.324688 | + | 0.0341261i | ||||
\(732\) | 1.55243 | + | 2.44754i | 0.0573795 | + | 0.0904637i | ||||
\(733\) | −7.26549 | + | 6.54188i | −0.268357 | + | 0.241630i | −0.792312 | − | 0.610116i | \(-0.791123\pi\) |
0.523955 | + | 0.851746i | \(0.324456\pi\) | |||||||
\(734\) | −20.2904 | − | 4.31287i | −0.748934 | − | 0.159191i | ||||
\(735\) | −8.61753 | − | 8.80416i | −0.317862 | − | 0.324746i | ||||
\(736\) | 89.5343 | − | 51.6927i | 3.30028 | − | 1.90542i | ||||
\(737\) | −1.27523 | + | 11.3262i | −0.0469735 | + | 0.417207i | ||||
\(738\) | 26.9147 | + | 25.2990i | 0.990744 | + | 0.931268i | ||||
\(739\) | −14.0478 | − | 19.3351i | −0.516757 | − | 0.711255i | 0.468284 | − | 0.883578i | \(-0.344873\pi\) |
−0.985040 | + | 0.172324i | \(0.944873\pi\) | |||||||
\(740\) | −56.4563 | − | 50.8335i | −2.07538 | − | 1.86868i | ||||
\(741\) | 6.05431 | − | 2.24992i | 0.222411 | − | 0.0826530i | ||||
\(742\) | −1.19371 | + | 0.531472i | −0.0438223 | + | 0.0195110i | ||||
\(743\) | −33.6405 | + | 14.9777i | −1.23415 | + | 0.549480i | −0.916997 | − | 0.398894i | \(-0.869394\pi\) |
−0.317155 | + | 0.948374i | \(0.602727\pi\) | |||||||
\(744\) | 58.2372 | − | 21.6423i | 2.13508 | − | 0.793445i | ||||
\(745\) | −12.3137 | − | 11.0873i | −0.451137 | − | 0.406206i | ||||
\(746\) | 33.3459 | + | 45.8967i | 1.22088 | + | 1.68040i | ||||
\(747\) | 4.09428 | − | 17.4184i | 0.149802 | − | 0.637305i | ||||
\(748\) | 35.7263 | + | 62.9508i | 1.30628 | + | 2.30171i | ||||
\(749\) | 11.8205 | − | 6.82456i | 0.431911 | − | 0.249364i | ||||
\(750\) | 37.3373 | + | 38.1459i | 1.36337 | + | 1.39289i | ||||
\(751\) | 30.0301 | + | 6.38311i | 1.09582 | + | 0.232923i | 0.720140 | − | 0.693828i | \(-0.244077\pi\) |
0.375675 | + | 0.926751i | \(0.377411\pi\) | |||||||
\(752\) | 70.7879 | − | 63.7377i | 2.58137 | − | 2.32428i | ||||
\(753\) | 21.6984 | + | 34.2093i | 0.790732 | + | 1.24666i | ||||
\(754\) | 0.776471 | + | 0.0816104i | 0.0282774 | + | 0.00297207i | ||||
\(755\) | 0.475281 | − | 1.46276i | 0.0172972 | − | 0.0532354i | ||||
\(756\) | −28.7663 | + | 26.9743i | −1.04622 | + | 0.981046i | ||||
\(757\) | −34.5971 | + | 25.1362i | −1.25745 | + | 0.913592i | −0.998630 | − | 0.0523331i | \(-0.983334\pi\) |
−0.258822 | + | 0.965925i | \(0.583334\pi\) | |||||||
\(758\) | −39.9585 | − | 69.2101i | −1.45136 | − | 2.51383i | ||||
\(759\) | −32.8505 | − | 5.81471i | −1.19240 | − | 0.211061i | ||||
\(760\) | −7.95143 | + | 13.7723i | −0.288429 | + | 0.499573i | ||||
\(761\) | 2.82341 | + | 26.8629i | 0.102348 | + | 0.973781i | 0.918360 | + | 0.395746i | \(0.129514\pi\) |
−0.816012 | + | 0.578035i | \(0.803820\pi\) | |||||||
\(762\) | −0.430135 | + | 0.213392i | −0.0155821 | + | 0.00773037i | ||||
\(763\) | −5.80827 | + | 1.23458i | −0.210273 | + | 0.0446950i | ||||
\(764\) | 11.4788 | − | 15.7991i | 0.415287 | − | 0.571593i | ||||
\(765\) | −5.93428 | + | 17.0146i | −0.214554 | + | 0.615163i | ||||
\(766\) | −6.83574 | − | 2.22107i | −0.246985 | − | 0.0802504i | ||||
\(767\) | −6.02897 | + | 6.69585i | −0.217693 | + | 0.241773i | ||||
\(768\) | 30.4072 | + | 8.49773i | 1.09723 | + | 0.306635i | ||||
\(769\) | 41.9099 | + | 24.1967i | 1.51131 | + | 0.872555i | 0.999913 | + | 0.0132095i | \(0.00420483\pi\) |
0.511396 | + | 0.859345i | \(0.329129\pi\) | |||||||
\(770\) | −15.1789 | + | 10.8575i | −0.547011 | + | 0.391277i | ||||
\(771\) | 0.565415 | − | 0.447921i | 0.0203629 | − | 0.0161315i | ||||
\(772\) | 53.3218 | − | 119.763i | 1.91909 | − | 4.31036i | ||||
\(773\) | 33.6456 | − | 10.9321i | 1.21015 | − | 0.393201i | 0.366664 | − | 0.930354i | \(-0.380500\pi\) |
0.843485 | + | 0.537152i | \(0.180500\pi\) | |||||||
\(774\) | −17.1798 | − | 0.368129i | −0.617516 | − | 0.0132321i | ||||
\(775\) | −9.61296 | − | 6.98422i | −0.345308 | − | 0.250881i | ||||
\(776\) | 5.54043 | − | 52.7136i | 0.198890 | − | 1.89231i | ||||
\(777\) | −24.6228 | − | 4.17072i | −0.883338 | − | 0.149624i | ||||
\(778\) | 0.357025 | − | 1.67967i | 0.0128000 | − | 0.0602192i | ||||
\(779\) | 5.69412 | − | 0.598476i | 0.204013 | − | 0.0214426i | ||||
\(780\) | 14.4462 | − | 36.4614i | 0.517258 | − | 1.30553i | ||||
\(781\) | 6.54205 | − | 29.6959i | 0.234093 | − | 1.06260i | ||||
\(782\) | − | 64.9467i | − | 2.32249i | ||||||
\(783\) | 0.505784 | − | 0.0102298i | 0.0180752 | − | 0.000365582i | ||||
\(784\) | 19.9344 | + | 61.3518i | 0.711943 | + | 2.19113i | ||||
\(785\) | 0.0256873 | + | 0.120849i | 0.000916819 | + | 0.00431330i | ||||
\(786\) | −60.5425 | + | 38.4010i | −2.15948 | + | 1.36972i | ||||
\(787\) | 10.4896 | + | 23.5601i | 0.373914 | + | 0.839825i | 0.998276 | + | 0.0586900i | \(0.0186924\pi\) |
−0.624362 | + | 0.781135i | \(0.714641\pi\) | |||||||
\(788\) | −67.6141 | − | 75.0931i | −2.40865 | − | 2.67508i | ||||
\(789\) | −21.6437 | − | 43.6273i | −0.770537 | − | 1.55317i | ||||
\(790\) | 35.6803 | + | 15.8859i | 1.26945 | + | 0.565195i | ||||
\(791\) | −29.1938 | −1.03801 | ||||||||
\(792\) | −49.2578 | − | 72.0780i | −1.75030 | − | 2.56118i | ||||
\(793\) | −0.947564 | −0.0336490 | ||||||||
\(794\) | 62.0528 | + | 27.6277i | 2.20217 | + | 0.980470i | ||||
\(795\) | 0.466139 | − | 0.701229i | 0.0165322 | − | 0.0248700i | ||||
\(796\) | −91.5034 | − | 101.625i | −3.24325 | − | 3.60200i | ||||
\(797\) | 6.93844 | + | 15.5840i | 0.245772 | + | 0.552013i | 0.993739 | − | 0.111722i | \(-0.0356368\pi\) |
−0.747967 | + | 0.663735i | \(0.768970\pi\) | |||||||
\(798\) | 0.351316 | + | 8.43057i | 0.0124364 | + | 0.298439i | ||||
\(799\) | −6.26530 | − | 29.4759i | −0.221650 | − | 1.04278i | ||||
\(800\) | −15.9893 | − | 49.2101i | −0.565308 | − | 1.73984i | ||||
\(801\) | −1.93088 | + | 15.2256i | −0.0682242 | + | 0.537970i | ||||
\(802\) | 78.5813i | 2.77480i | ||||||||
\(803\) | −23.4319 | + | 2.28764i | −0.826892 | + | 0.0807292i | ||||
\(804\) | 30.9570 | − | 4.56372i | 1.09177 | − | 0.160950i | ||||
\(805\) | 12.0640 | − | 1.26797i | 0.425199 | − | 0.0446902i | ||||
\(806\) | −6.81623 | + | 32.0678i | −0.240091 | + | 1.12954i | ||||
\(807\) | 14.9772 | − | 18.0954i | 0.527221 | − | 0.636989i | ||||
\(808\) | −10.6777 | + | 101.592i | −0.375641 | + | 3.57399i | ||||
\(809\) | 38.7684 | + | 28.1669i | 1.36302 | + | 0.990295i | 0.998246 | + | 0.0592001i | \(0.0188550\pi\) |
0.364778 | + | 0.931095i | \(0.381145\pi\) | |||||||
\(810\) | 8.75666 | − | 33.9693i | 0.307678 | − | 1.19356i | ||||
\(811\) | 45.0299 | − | 14.6311i | 1.58121 | − | 0.513768i | 0.618845 | − | 0.785513i | \(-0.287601\pi\) |
0.962369 | + | 0.271745i | \(0.0876009\pi\) | |||||||
\(812\) | −0.300527 | + | 0.674996i | −0.0105464 | + | 0.0236877i | ||||
\(813\) | 17.9409 | + | 7.10830i | 0.629215 | + | 0.249299i | ||||
\(814\) | 28.2025 | − | 84.6619i | 0.988497 | − | 2.96740i | ||||
\(815\) | −3.67109 | − | 2.11951i | −0.128593 | − | 0.0742430i | ||||
\(816\) | 67.4306 | − | 66.0012i | 2.36054 | − | 2.31050i | ||||
\(817\) | −1.78223 | + | 1.97937i | −0.0623524 | + | 0.0692494i | ||||
\(818\) | 42.5510 | + | 13.8257i | 1.48776 | + | 0.483403i | ||||
\(819\) | −2.40972 | − | 12.6653i | −0.0842025 | − | 0.442561i | ||||
\(820\) | 20.4348 | − | 28.1261i | 0.713615 | − | 0.982207i | ||||
\(821\) | −17.1942 | + | 3.65474i | −0.600081 | + | 0.127551i | −0.497929 | − | 0.867218i | \(-0.665906\pi\) |
−0.102152 | + | 0.994769i | \(0.532573\pi\) | |||||||
\(822\) | −14.4685 | − | 9.61789i | −0.504649 | − | 0.335463i | ||||
\(823\) | −2.98965 | − | 28.4446i | −0.104212 | − | 0.991516i | −0.914254 | − | 0.405142i | \(-0.867222\pi\) |
0.810041 | − | 0.586373i | \(-0.199445\pi\) | |||||||
\(824\) | −14.6962 | + | 25.4545i | −0.511966 | + | 0.886751i | ||||
\(825\) | −6.26487 | + | 15.4768i | −0.218115 | + | 0.538832i | ||||
\(826\) | −5.88546 | − | 10.1939i | −0.204781 | − | 0.354691i | ||||
\(827\) | 13.0031 | − | 9.44733i | 0.452163 | − | 0.328516i | −0.338286 | − | 0.941043i | \(-0.609847\pi\) |
0.790449 | + | 0.612527i | \(0.209847\pi\) | |||||||
\(828\) | 7.62017 | + | 91.2724i | 0.264819 | + | 3.17193i | ||||
\(829\) | 0.324003 | − | 0.997179i | 0.0112531 | − | 0.0346335i | −0.945272 | − | 0.326282i | \(-0.894204\pi\) |
0.956525 | + | 0.291649i | \(0.0942039\pi\) | |||||||
\(830\) | −23.1203 | − | 2.43004i | −0.802517 | − | 0.0843479i | ||||
\(831\) | 7.85502 | − | 15.0165i | 0.272488 | − | 0.520916i | ||||
\(832\) | −48.0329 | + | 43.2490i | −1.66524 | + | 1.49939i | ||||
\(833\) | 19.9619 | + | 4.24304i | 0.691640 | + | 0.147013i | ||||
\(834\) | −76.9069 | + | 19.7266i | −2.66307 | + | 0.683077i | ||||
\(835\) | −5.58062 | + | 3.22197i | −0.193125 | + | 0.111501i | ||||
\(836\) | −21.7040 | − | 2.44366i | −0.750648 | − | 0.0845158i | ||||
\(837\) | −1.79280 | + | 21.1668i | −0.0619683 | + | 0.731633i | ||||
\(838\) | 14.8427 | + | 20.4292i | 0.512733 | + | 0.705716i | ||||
\(839\) | −15.6005 | − | 14.0468i | −0.538590 | − | 0.484949i | 0.354357 | − | 0.935110i | \(-0.384700\pi\) |
−0.892947 | + | 0.450161i | \(0.851366\pi\) | |||||||
\(840\) | 24.4540 | + | 20.2400i | 0.843743 | + | 0.698347i | ||||
\(841\) | −26.4842 | + | 11.7915i | −0.913247 | + | 0.406604i | ||||
\(842\) | 8.14849 | − | 3.62794i | 0.280816 | − | 0.125027i | ||||
\(843\) | −3.52463 | + | 20.8084i | −0.121395 | + | 0.716680i | ||||
\(844\) | 88.8286 | + | 79.9816i | 3.05761 | + | 2.75308i | ||||
\(845\) | −3.51944 | − | 4.84410i | −0.121073 | − | 0.166642i | ||||
\(846\) | 16.9287 | + | 56.1683i | 0.582022 | + | 1.93111i | ||||
\(847\) | −13.6335 | − | 8.14260i | −0.468451 | − | 0.279783i | ||||
\(848\) | −3.81836 | + | 2.20453i | −0.131123 | + | 0.0757039i | ||||
\(849\) | 7.17611 | − | 25.6781i | 0.246284 | − | 0.881271i | ||||
\(850\) | −31.7944 | − | 6.75811i | −1.09054 | − | 0.231801i | ||||
\(851\) | −43.1043 | + | 38.8113i | −1.47760 | + | 1.33043i | ||||
\(852\) | −83.4097 | + | 3.47582i | −2.85757 | + | 0.119079i | ||||
\(853\) | 5.26358 | + | 0.553224i | 0.180222 | + | 0.0189420i | 0.194209 | − | 0.980960i | \(-0.437786\pi\) |
−0.0139877 | + | 0.999902i | \(0.504453\pi\) | |||||||
\(854\) | 0.382533 | − | 1.17732i | 0.0130900 | − | 0.0402869i | ||||
\(855\) | −3.10106 | − | 4.46642i | −0.106054 | − | 0.152748i | ||||
\(856\) | 67.1135 | − | 48.7608i | 2.29389 | − | 1.66661i | ||||
\(857\) | 3.88021 | + | 6.72072i | 0.132545 | + | 0.229575i | 0.924657 | − | 0.380801i | \(-0.124352\pi\) |
−0.792112 | + | 0.610376i | \(0.791018\pi\) | |||||||
\(858\) | 46.0406 | − | 1.57746i | 1.57180 | − | 0.0538537i | ||||
\(859\) | 24.3358 | − | 42.1508i | 0.830326 | − | 1.43817i | −0.0674537 | − | 0.997722i | \(-0.521488\pi\) |
0.897780 | − | 0.440445i | \(-0.145179\pi\) | |||||||
\(860\) | 1.69055 | + | 16.0845i | 0.0576473 | + | 0.548478i | ||||
\(861\) | 0.720350 | − | 11.4059i | 0.0245495 | − | 0.388711i | ||||
\(862\) | −5.60851 | + | 1.19213i | −0.191027 | + | 0.0406039i | ||||
\(863\) | −8.87079 | + | 12.2096i | −0.301965 | + | 0.415619i | −0.932854 | − | 0.360253i | \(-0.882690\pi\) |
0.630889 | + | 0.775873i | \(0.282690\pi\) | |||||||
\(864\) | −60.4939 | + | 69.9808i | −2.05805 | + | 2.38080i | ||||
\(865\) | −14.3805 | − | 4.67250i | −0.488951 | − | 0.158870i | ||||
\(866\) | 27.7701 | − | 30.8418i | 0.943667 | − | 1.04805i | ||||
\(867\) | −0.100700 | − | 0.392592i | −0.00341995 | − | 0.0133331i | ||||
\(868\) | −26.8693 | − | 15.5130i | −0.912002 | − | 0.526545i | ||||
\(869\) | −0.245878 | + | 33.2329i | −0.00834084 | + | 1.12735i | ||||
\(870\) | −0.0958604 | − | 0.650247i | −0.00324997 | − | 0.0220454i | ||||
\(871\) | −4.16099 | + | 9.34573i | −0.140990 | + | 0.316668i | ||||
\(872\) | −34.3238 | + | 11.1525i | −1.16235 | + | 0.377671i | ||||
\(873\) | 15.4971 | + | 9.39556i | 0.524497 | + | 0.317991i | ||||
\(874\) | 15.8547 | + | 11.5191i | 0.536294 | + | 0.389640i | ||||
\(875\) | 1.72628 | − | 16.4245i | 0.0583589 | − | 0.555248i | ||||
\(876\) | 22.5157 | + | 60.5874i | 0.760734 | + | 2.04706i | ||||
\(877\) | −4.60549 | + | 21.6671i | −0.155516 | + | 0.731646i | 0.829406 | + | 0.558647i | \(0.188679\pi\) |
−0.984922 | + | 0.172999i | \(0.944654\pi\) | |||||||
\(878\) | 95.9272 | − | 10.0824i | 3.23739 | − | 0.340263i | ||||
\(879\) | −29.2752 | − | 36.9543i | −0.987426 | − | 1.24644i | ||||
\(880\) | −47.1077 | + | 41.7890i | −1.58800 | + | 1.40871i | ||||
\(881\) | 18.8235i | 0.634180i | 0.948395 | + | 0.317090i | \(0.102706\pi\) | ||||
−0.948395 | + | 0.317090i | \(0.897294\pi\) | |||||||
\(882\) | −39.4132 | − | 4.99830i | −1.32711 | − | 0.168301i | ||||
\(883\) | −11.7223 | − | 36.0776i | −0.394488 | − | 1.21411i | −0.929360 | − | 0.369175i | \(-0.879640\pi\) |
0.534872 | − | 0.844933i | \(-0.320360\pi\) | |||||||
\(884\) | 13.5074 | + | 63.5475i | 0.454304 | + | 2.13733i | ||||
\(885\) | 6.72121 | + | 3.51582i | 0.225931 | + | 0.118183i | ||||
\(886\) | 13.1458 | + | 29.5260i | 0.441643 | + | 0.991947i | ||||
\(887\) | −19.4805 | − | 21.6352i | −0.654090 | − | 0.726440i | 0.321288 | − | 0.946982i | \(-0.395884\pi\) |
−0.975378 | + | 0.220541i | \(0.929218\pi\) | |||||||
\(888\) | −151.483 | − | 9.56704i | −5.08343 | − | 0.321049i | ||||
\(889\) | 0.135716 | + | 0.0604246i | 0.00455176 | + | 0.00202658i | ||||
\(890\) | 19.9403 | 0.668401 | ||||||||
\(891\) | 29.4722 | − | 4.73176i | 0.987356 | − | 0.158520i | ||||
\(892\) | −119.589 | −4.00414 | ||||||||
\(893\) | 8.30685 | + | 3.69845i | 0.277978 | + | 0.123764i | ||||
\(894\) | −53.3280 | − | 3.36798i | −1.78356 | − | 0.112642i | ||||
\(895\) | −9.75416 | − | 10.8331i | −0.326046 | − | 0.362110i | ||||
\(896\) | −13.4383 | − | 30.1829i | −0.448942 | − | 1.00834i | ||||
\(897\) | −26.5328 | − | 13.8791i | −0.885903 | − | 0.463410i | ||||
\(898\) | 14.3016 | + | 67.2838i | 0.477251 | + | 2.24529i | ||||
\(899\) | 0.122993 | + | 0.378534i | 0.00410205 | + | 0.0126248i | ||||
\(900\) | 45.4749 | + | 5.76703i | 1.51583 | + | 0.192234i | ||||
\(901\) | 1.39484i | 0.0464688i | ||||||||
\(902\) | 39.8806 | + | 8.78575i | 1.32788 | + | 0.292534i | ||||
\(903\) | 3.30140 | + | 4.16738i | 0.109864 | + | 0.138682i | ||||
\(904\) | −176.463 | + | 18.5470i | −5.86906 | + | 0.616863i | ||||
\(905\) | −4.66411 | + | 21.9429i | −0.155040 | + | 0.729407i | ||||
\(906\) | −1.72777 | − | 4.64925i | −0.0574013 | − | 0.154461i | ||||
\(907\) | 1.93945 | − | 18.4526i | 0.0643984 | − | 0.612710i | −0.913962 | − | 0.405801i | \(-0.866993\pi\) |
0.978360 | − | 0.206910i | \(-0.0663406\pi\) | |||||||
\(908\) | 34.5673 | + | 25.1146i | 1.14716 | + | 0.833458i | ||||
\(909\) | −29.8666 | − | 18.1075i | −0.990613 | − | 0.600588i | ||||
\(910\) | −15.9308 | + | 5.17622i | −0.528100 | + | 0.171590i | ||||
\(911\) | 13.5116 | − | 30.3475i | 0.447658 | − | 1.00546i | −0.538949 | − | 0.842339i | \(-0.681178\pi\) |
0.986607 | − | 0.163118i | \(-0.0521550\pi\) | |||||||
\(912\) | 4.15245 | + | 28.1672i | 0.137501 | + | 0.932710i | ||||
\(913\) | −5.97348 | − | 18.8581i | −0.197693 | − | 0.624112i | ||||
\(914\) | 2.37949 | + | 1.37380i | 0.0787064 | + | 0.0454411i | ||||
\(915\) | 0.198197 | + | 0.772696i | 0.00655217 | + | 0.0255445i | ||||
\(916\) | 47.8173 | − | 53.1065i | 1.57993 | − | 1.75469i | ||||
\(917\) | 21.0963 | + | 6.85459i | 0.696660 | + | 0.226359i | ||||
\(918\) | 19.0710 | + | 54.8920i | 0.629438 | + | 1.81171i | ||||
\(919\) | −10.8277 | + | 14.9031i | −0.357173 | + | 0.491606i | −0.949358 | − | 0.314195i | \(-0.898265\pi\) |
0.592185 | + | 0.805802i | \(0.298265\pi\) | |||||||
\(920\) | 72.1153 | − | 15.3286i | 2.37757 | − | 0.505369i | ||||
\(921\) | −3.39301 | + | 53.7242i | −0.111803 | + | 1.77027i | ||||
\(922\) | 1.27392 | + | 12.1205i | 0.0419543 | + | 0.399168i | ||||
\(923\) | 13.6464 | − | 23.6363i | 0.449178 | − | 0.777999i | ||||
\(924\) | −12.0445 | + | 41.9001i | −0.396235 | + | 1.37841i | ||||
\(925\) | 14.5146 | + | 25.1401i | 0.477238 | + | 0.826600i | ||||
\(926\) | −18.4200 | + | 13.3829i | −0.605320 | + | 0.439791i | ||||
\(927\) | −5.73151 | − | 8.25503i | −0.188247 | − | 0.271131i | ||||
\(928\) | −0.535586 | + | 1.64836i | −0.0175815 | + | 0.0541102i | ||||
\(929\) | 29.1247 | + | 3.06113i | 0.955551 | + | 0.100432i | 0.569452 | − | 0.822025i | \(-0.307156\pi\) |
0.386099 | + | 0.922457i | \(0.373822\pi\) | |||||||
\(930\) | 27.5756 | − | 1.14912i | 0.904239 | − | 0.0376811i | ||||
\(931\) | −4.57631 | + | 4.12052i | −0.149982 | + | 0.135045i | ||||
\(932\) | −26.0063 | − | 5.52781i | −0.851865 | − | 0.181070i | ||||
\(933\) | 2.66399 | − | 9.53249i | 0.0872151 | − | 0.312080i | ||||
\(934\) | 14.4710 | − | 8.35483i | 0.473505 | − | 0.273378i | ||||
\(935\) | 3.99765 | + | 19.5164i | 0.130737 | + | 0.638253i | ||||
\(936\) | −22.6119 | − | 75.0247i | −0.739095 | − | 2.45226i | ||||
\(937\) | −9.28756 | − | 12.7832i | −0.303411 | − | 0.417610i | 0.629901 | − | 0.776675i | \(-0.283095\pi\) |
−0.933312 | + | 0.359066i | \(0.883095\pi\) | |||||||
\(938\) | −9.93196 | − | 8.94277i | −0.324290 | − | 0.291992i | ||||
\(939\) | −7.64591 | + | 45.1394i | −0.249515 | + | 1.47307i | ||||
\(940\) | 50.4402 | − | 22.4574i | 1.64518 | − | 0.732480i | ||||
\(941\) | −7.56700 | + | 3.36905i | −0.246677 | + | 0.109828i | −0.526351 | − | 0.850267i | \(-0.676440\pi\) |
0.279674 | + | 0.960095i | \(0.409774\pi\) | |||||||
\(942\) | 0.306930 | + | 0.254039i | 0.0100003 | + | 0.00827704i | ||||
\(943\) | −19.7258 | − | 17.7611i | −0.642359 | − | 0.578383i | ||||
\(944\) | −23.3457 | − | 32.1326i | −0.759839 | − | 1.04583i | ||||
\(945\) | −9.82395 | + | 4.61415i | −0.319573 | + | 0.150098i | ||||
\(946\) | −16.5220 | + | 9.37671i | −0.537178 | + | 0.304863i | ||||
\(947\) | −4.25424 | + | 2.45619i | −0.138244 | + | 0.0798154i | −0.567527 | − | 0.823355i | \(-0.692100\pi\) |
0.429283 | + | 0.903170i | \(0.358766\pi\) | |||||||
\(948\) | 88.3793 | − | 22.6693i | 2.87043 | − | 0.736265i | ||||
\(949\) | −20.6697 | − | 4.39347i | −0.670966 | − | 0.142618i | ||||
\(950\) | 7.28892 | − | 6.56297i | 0.236484 | − | 0.212931i | ||||
\(951\) | 1.58947 | − | 3.03860i | 0.0515422 | − | 0.0985335i | ||||
\(952\) | −52.2960 | − | 5.49653i | −1.69492 | − | 0.178144i | ||||
\(953\) | −1.81366 | + | 5.58186i | −0.0587501 | + | 0.180814i | −0.976125 | − | 0.217211i | \(-0.930304\pi\) |
0.917375 | + | 0.398025i | \(0.130304\pi\) | |||||||
\(954\) | −0.225917 | − | 2.70597i | −0.00731433 | − | 0.0876091i | ||||
\(955\) | 4.34837 | − | 3.15927i | 0.140710 | − | 0.102232i | ||||
\(956\) | 53.0067 | + | 91.8103i | 1.71436 | + | 2.96936i | ||||
\(957\) | 0.474491 | − | 0.296061i | 0.0153381 | − | 0.00957030i | ||||
\(958\) | 30.0453 | − | 52.0401i | 0.970721 | − | 1.68134i | ||||
\(959\) | 0.561877 | + | 5.34590i | 0.0181439 | + | 0.172628i | ||||
\(960\) | 45.3144 | + | 30.1225i | 1.46252 | + | 0.972200i | ||||
\(961\) | 13.9749 | − | 2.97045i | 0.450802 | − | 0.0958210i | ||||
\(962\) | 47.0782 | − | 64.7976i | 1.51786 | − | 2.08916i | ||||
\(963\) | 5.30151 | + | 27.8642i | 0.170839 | + | 0.897913i | ||||
\(964\) | 141.498 | + | 45.9756i | 4.55735 | + | 1.48077i | ||||
\(965\) | 24.1432 | − | 26.8137i | 0.777197 | − | 0.863165i | ||||
\(966\) | 27.9557 | − | 27.3630i | 0.899458 | − | 0.880391i | ||||
\(967\) | 15.1909 | + | 8.77049i | 0.488507 | + | 0.282040i | 0.723955 | − | 0.689847i | \(-0.242322\pi\) |
−0.235448 | + | 0.971887i | \(0.575656\pi\) | |||||||
\(968\) | −87.5808 | − | 40.5567i | −2.81495 | − | 1.30354i | ||||
\(969\) | 8.37389 | + | 3.31779i | 0.269008 | + | 0.106583i | ||||
\(970\) | 9.57706 | − | 21.5104i | 0.307501 | − | 0.690658i | ||||
\(971\) | −46.6836 | + | 15.1684i | −1.49815 | + | 0.486778i | −0.939478 | − | 0.342610i | \(-0.888689\pi\) |
−0.558672 | + | 0.829389i | \(0.688689\pi\) | |||||||
\(972\) | −33.2418 | − | 74.9044i | −1.06623 | − | 2.40256i | ||||
\(973\) | 19.8735 | + | 14.4390i | 0.637117 | + | 0.462892i | ||||
\(974\) | 9.59448 | − | 91.2854i | 0.307427 | − | 2.92497i | ||||
\(975\) | −9.55536 | + | 11.5448i | −0.306017 | + | 0.369729i | ||||
\(976\) | 0.868449 | − | 4.08573i | 0.0277984 | − | 0.130781i | ||||
\(977\) | 12.4796 | − | 1.31166i | 0.399258 | − | 0.0419637i | 0.0972278 | − | 0.995262i | \(-0.469002\pi\) |
0.302030 | + | 0.953298i | \(0.402336\pi\) | |||||||
\(978\) | −13.5239 | + | 1.99371i | −0.432447 | + | 0.0637520i | ||||
\(979\) | 6.78637 | + | 15.5511i | 0.216893 | + | 0.497014i | ||||
\(980\) | 37.3923i | 1.19445i | ||||||||
\(981\) | 1.55247 | − | 12.2417i | 0.0495664 | − | 0.390848i | ||||
\(982\) | −15.6708 | − | 48.2298i | −0.500076 | − | 1.53908i | ||||
\(983\) | 4.38228 | + | 20.6170i | 0.139773 | + | 0.657580i | 0.991119 | + | 0.132976i | \(0.0424532\pi\) |
−0.851346 | + | 0.524604i | \(0.824213\pi\) | |||||||
\(984\) | −2.89204 | − | 69.4007i | −0.0921949 | − | 2.21241i | ||||
\(985\) | −11.3118 | − | 25.4067i | −0.360424 | − | 0.809526i | ||||
\(986\) | 0.728544 | + | 0.809130i | 0.0232016 | + | 0.0257680i | ||||
\(987\) | 10.0479 | − | 15.1155i | 0.319829 | − | 0.481131i | ||||
\(988\) | −17.9088 | − | 7.97353i | −0.569756 | − | 0.253672i | ||||
\(989\) | 12.3481 | 0.392648 | ||||||||
\(990\) | −10.9164 | − | 37.2141i | −0.346946 | − | 1.18274i | ||||
\(991\) | 60.3045 | 1.91564 | 0.957818 | − | 0.287375i | \(-0.0927826\pi\) | ||||
0.957818 | + | 0.287375i | \(0.0927826\pi\) | |||||||
\(992\) | −66.4861 | − | 29.6015i | −2.11094 | − | 0.939849i | ||||
\(993\) | −3.13843 | − | 6.32615i | −0.0995952 | − | 0.200754i | ||||
\(994\) | 23.8582 | + | 26.4973i | 0.756737 | + | 0.840442i | ||||
\(995\) | −15.3085 | − | 34.3834i | −0.485311 | − | 1.09003i | ||||
\(996\) | −45.8611 | + | 29.0889i | −1.45316 | + | 0.921716i | ||||
\(997\) | −11.6859 | − | 54.9777i | −0.370096 | − | 1.74116i | −0.630986 | − | 0.775794i | \(-0.717349\pi\) |
0.260890 | − | 0.965368i | \(-0.415984\pi\) | |||||||
\(998\) | −6.32493 | − | 19.4661i | −0.200212 | − | 0.616190i | ||||
\(999\) | 25.0345 | − | 45.4599i | 0.792056 | − | 1.43829i |
(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 | 99.2.p.a.41.1 | yes | 80 | |
3.2 | odd | 2 | 297.2.t.a.206.10 | 80 | |||
9.2 | odd | 6 | inner | 99.2.p.a.74.1 | yes | 80 | |
9.4 | even | 3 | 891.2.k.a.404.20 | 80 | |||
9.5 | odd | 6 | 891.2.k.a.404.1 | 80 | |||
9.7 | even | 3 | 297.2.t.a.8.10 | 80 | |||
11.7 | odd | 10 | inner | 99.2.p.a.95.1 | yes | 80 | |
33.29 | even | 10 | 297.2.t.a.260.10 | 80 | |||
99.7 | odd | 30 | 297.2.t.a.62.10 | 80 | |||
99.29 | even | 30 | inner | 99.2.p.a.29.1 | ✓ | 80 | |
99.40 | odd | 30 | 891.2.k.a.161.1 | 80 | |||
99.95 | even | 30 | 891.2.k.a.161.20 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.1 | ✓ | 80 | 99.29 | even | 30 | inner | |
99.2.p.a.41.1 | yes | 80 | 1.1 | even | 1 | trivial | |
99.2.p.a.74.1 | yes | 80 | 9.2 | odd | 6 | inner | |
99.2.p.a.95.1 | yes | 80 | 11.7 | odd | 10 | inner | |
297.2.t.a.8.10 | 80 | 9.7 | even | 3 | |||
297.2.t.a.62.10 | 80 | 99.7 | odd | 30 | |||
297.2.t.a.206.10 | 80 | 3.2 | odd | 2 | |||
297.2.t.a.260.10 | 80 | 33.29 | even | 10 | |||
891.2.k.a.161.1 | 80 | 99.40 | odd | 30 | |||
891.2.k.a.161.20 | 80 | 99.95 | even | 30 | |||
891.2.k.a.404.1 | 80 | 9.5 | odd | 6 | |||
891.2.k.a.404.20 | 80 | 9.4 | even | 3 |