Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [456,2,Mod(61,456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(456, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("456.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 456 = 2^{3} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 456.bk (of order \(18\), degree \(6\), 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: | \(3.64117833217\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 253.23 | ||
Character | \(\chi\) | \(=\) | 456.253 |
Dual form | 456.2.bk.a.301.23 |
$q$-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 \(\left(\mathbb{Z}/456\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.354980 | + | 1.36894i | 0.251009 | + | 0.967985i | ||||
\(3\) | −0.342020 | + | 0.939693i | −0.197465 | + | 0.542532i | ||||
\(4\) | −1.74798 | + | 0.971890i | −0.873989 | + | 0.485945i | ||||
\(5\) | −3.68726 | + | 0.650163i | −1.64899 | + | 0.290762i | −0.919459 | − | 0.393185i | \(-0.871373\pi\) |
−0.729532 | + | 0.683946i | \(0.760262\pi\) | |||||||
\(6\) | −1.40779 | − | 0.134632i | −0.574728 | − | 0.0549634i | ||||
\(7\) | 2.40464 | − | 4.16496i | 0.908868 | − | 1.57421i | 0.0932283 | − | 0.995645i | \(-0.470281\pi\) |
0.815639 | − | 0.578560i | \(-0.196385\pi\) | |||||||
\(8\) | −1.95095 | − | 2.04787i | −0.689766 | − | 0.724032i | ||||
\(9\) | −0.766044 | − | 0.642788i | −0.255348 | − | 0.214263i | ||||
\(10\) | −2.19893 | − | 4.81683i | −0.695364 | − | 1.52322i | ||||
\(11\) | 0.184651 | − | 0.106609i | 0.0556745 | − | 0.0321437i | −0.471904 | − | 0.881650i | \(-0.656433\pi\) |
0.527579 | + | 0.849506i | \(0.323100\pi\) | |||||||
\(12\) | −0.315434 | − | 1.97497i | −0.0910580 | − | 0.570124i | ||||
\(13\) | −0.577116 | − | 1.58561i | −0.160063 | − | 0.439770i | 0.833573 | − | 0.552410i | \(-0.186292\pi\) |
−0.993636 | + | 0.112640i | \(0.964069\pi\) | |||||||
\(14\) | 6.55516 | + | 1.81332i | 1.75194 | + | 0.484631i | ||||
\(15\) | 0.650163 | − | 3.68726i | 0.167871 | − | 0.952046i | ||||
\(16\) | 2.11086 | − | 3.39769i | 0.527715 | − | 0.849422i | ||||
\(17\) | −4.37660 | + | 3.67240i | −1.06148 | + | 0.890688i | −0.994254 | − | 0.107049i | \(-0.965860\pi\) |
−0.0672273 | + | 0.997738i | \(0.521415\pi\) | |||||||
\(18\) | 0.608006 | − | 1.27684i | 0.143308 | − | 0.300955i | ||||
\(19\) | −4.11312 | − | 1.44300i | −0.943614 | − | 0.331047i | ||||
\(20\) | 5.81336 | − | 4.72008i | 1.29991 | − | 1.05544i | ||||
\(21\) | 3.09134 | + | 3.68412i | 0.674586 | + | 0.803941i | ||||
\(22\) | 0.211488 | + | 0.214932i | 0.0450894 | + | 0.0458237i | ||||
\(23\) | 0.281982 | − | 1.59920i | 0.0587973 | − | 0.333456i | −0.941193 | − | 0.337869i | \(-0.890294\pi\) |
0.999990 | + | 0.00441355i | \(0.00140488\pi\) | |||||||
\(24\) | 2.59164 | − | 1.13288i | 0.529015 | − | 0.231249i | ||||
\(25\) | 8.47469 | − | 3.08454i | 1.69494 | − | 0.616907i | ||||
\(26\) | 1.96574 | − | 1.35290i | 0.385513 | − | 0.265325i | ||||
\(27\) | 0.866025 | − | 0.500000i | 0.166667 | − | 0.0962250i | ||||
\(28\) | −0.155377 | + | 9.61730i | −0.0293636 | + | 1.81750i | ||||
\(29\) | 5.74365 | − | 6.84502i | 1.06657 | − | 1.27109i | 0.105607 | − | 0.994408i | \(-0.466321\pi\) |
0.960962 | − | 0.276680i | \(-0.0892342\pi\) | |||||||
\(30\) | 5.27842 | − | 0.418869i | 0.963703 | − | 0.0764747i | ||||
\(31\) | −2.71861 | + | 4.70877i | −0.488277 | + | 0.845721i | −0.999909 | − | 0.0134840i | \(-0.995708\pi\) |
0.511632 | + | 0.859205i | \(0.329041\pi\) | |||||||
\(32\) | 5.40053 | + | 1.68352i | 0.954688 | + | 0.297608i | ||||
\(33\) | 0.0370247 | + | 0.209978i | 0.00644518 | + | 0.0365524i | ||||
\(34\) | −6.58089 | − | 4.68766i | −1.12861 | − | 0.803927i | ||||
\(35\) | −6.15862 | + | 16.9207i | −1.04100 | + | 2.86012i | ||||
\(36\) | 1.96375 | + | 0.379068i | 0.327291 | + | 0.0631780i | ||||
\(37\) | − | 2.87551i | − | 0.472730i | −0.971664 | − | 0.236365i | \(-0.924044\pi\) | ||
0.971664 | − | 0.236365i | \(-0.0759562\pi\) | |||||||
\(38\) | 0.515306 | − | 6.14284i | 0.0835937 | − | 0.996500i | ||||
\(39\) | 1.68737 | 0.270196 | ||||||||
\(40\) | 8.52512 | + | 6.28259i | 1.34794 | + | 0.993365i | ||||
\(41\) | −11.8130 | − | 4.29959i | −1.84488 | − | 0.671483i | −0.987676 | − | 0.156513i | \(-0.949975\pi\) |
−0.857208 | − | 0.514970i | \(-0.827803\pi\) | |||||||
\(42\) | −3.94596 | + | 5.53964i | −0.608876 | + | 0.854785i | ||||
\(43\) | 0.363742 | − | 0.0641374i | 0.0554701 | − | 0.00978087i | −0.145844 | − | 0.989308i | \(-0.546590\pi\) |
0.201314 | + | 0.979527i | \(0.435479\pi\) | |||||||
\(44\) | −0.219155 | + | 0.365810i | −0.0330388 | + | 0.0551480i | ||||
\(45\) | 3.24252 | + | 1.87207i | 0.483366 | + | 0.279072i | ||||
\(46\) | 2.28930 | − | 0.181668i | 0.337539 | − | 0.0267854i | ||||
\(47\) | −2.38325 | − | 1.99978i | −0.347633 | − | 0.291698i | 0.452206 | − | 0.891914i | \(-0.350637\pi\) |
−0.799839 | + | 0.600215i | \(0.795082\pi\) | |||||||
\(48\) | 2.47082 | + | 3.14564i | 0.356633 | + | 0.454033i | ||||
\(49\) | −8.06457 | − | 13.9682i | −1.15208 | − | 1.99546i | ||||
\(50\) | 7.23088 | + | 10.5064i | 1.02260 | + | 1.48583i | ||||
\(51\) | −1.95404 | − | 5.36869i | −0.273621 | − | 0.751767i | ||||
\(52\) | 2.54983 | + | 2.21072i | 0.353598 | + | 0.306572i | ||||
\(53\) | −6.26676 | − | 1.10500i | −0.860806 | − | 0.151783i | −0.274217 | − | 0.961668i | \(-0.588419\pi\) |
−0.586589 | + | 0.809885i | \(0.699530\pi\) | |||||||
\(54\) | 0.991890 | + | 1.00804i | 0.134979 | + | 0.137177i | ||||
\(55\) | −0.611544 | + | 0.513147i | −0.0824606 | + | 0.0691927i | ||||
\(56\) | −13.2206 | + | 3.20124i | −1.76668 | + | 0.427784i | ||||
\(57\) | 2.76275 | − | 3.37153i | 0.365935 | − | 0.446570i | ||||
\(58\) | 11.4093 | + | 5.43286i | 1.49811 | + | 0.713369i | ||||
\(59\) | −1.21122 | − | 1.44348i | −0.157688 | − | 0.187925i | 0.681416 | − | 0.731896i | \(-0.261365\pi\) |
−0.839104 | + | 0.543971i | \(0.816920\pi\) | |||||||
\(60\) | 2.44714 | + | 7.07713i | 0.315924 | + | 0.913654i | ||||
\(61\) | −7.10586 | − | 1.25295i | −0.909812 | − | 0.160424i | −0.300894 | − | 0.953658i | \(-0.597285\pi\) |
−0.608918 | + | 0.793233i | \(0.708396\pi\) | |||||||
\(62\) | −7.41107 | − | 2.05009i | −0.941207 | − | 0.260362i | ||||
\(63\) | −4.51924 | + | 1.64487i | −0.569371 | + | 0.207234i | ||||
\(64\) | −0.387559 | + | 7.99061i | −0.0484449 | + | 0.998826i | ||||
\(65\) | 3.15888 | + | 5.47134i | 0.391811 | + | 0.678637i | ||||
\(66\) | −0.274303 | + | 0.125222i | −0.0337644 | + | 0.0154138i | ||||
\(67\) | −5.94756 | + | 7.08802i | −0.726610 | + | 0.865940i | −0.995255 | − | 0.0972996i | \(-0.968980\pi\) |
0.268646 | + | 0.963239i | \(0.413424\pi\) | |||||||
\(68\) | 4.08103 | − | 10.6729i | 0.494898 | − | 1.29427i | ||||
\(69\) | 1.40631 | + | 0.811934i | 0.169300 | + | 0.0977454i | ||||
\(70\) | −25.3495 | − | 2.42427i | −3.02985 | − | 0.289756i | ||||
\(71\) | 0.823187 | + | 4.66852i | 0.0976943 | + | 0.554052i | 0.993888 | + | 0.110390i | \(0.0352099\pi\) |
−0.896194 | + | 0.443662i | \(0.853679\pi\) | |||||||
\(72\) | 0.178170 | + | 2.82281i | 0.0209976 | + | 0.332671i | ||||
\(73\) | 8.30162 | + | 3.02154i | 0.971631 | + | 0.353645i | 0.778581 | − | 0.627544i | \(-0.215940\pi\) |
0.193050 | + | 0.981189i | \(0.438162\pi\) | |||||||
\(74\) | 3.93639 | − | 1.02075i | 0.457596 | − | 0.118659i | ||||
\(75\) | 9.01858i | 1.04138i | ||||||||
\(76\) | 8.59208 | − | 1.47516i | 0.985580 | − | 0.169213i | ||||
\(77\) | − | 1.02542i | − | 0.116857i | ||||||
\(78\) | 0.598984 | + | 2.30991i | 0.0678215 | + | 0.261546i | ||||
\(79\) | −7.33173 | − | 2.66853i | −0.824885 | − | 0.300233i | −0.105127 | − | 0.994459i | \(-0.533525\pi\) |
−0.719758 | + | 0.694225i | \(0.755747\pi\) | |||||||
\(80\) | −5.57423 | + | 13.9005i | −0.623218 | + | 1.55413i | ||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | 1.69248 | − | 17.6976i | 0.186904 | − | 1.95437i | ||||
\(83\) | 1.91606 | + | 1.10624i | 0.210314 | + | 0.121425i | 0.601457 | − | 0.798905i | \(-0.294587\pi\) |
−0.391143 | + | 0.920330i | \(0.627920\pi\) | |||||||
\(84\) | −8.98416 | − | 3.43532i | −0.980252 | − | 0.374824i | ||||
\(85\) | 13.7500 | − | 16.3866i | 1.49140 | − | 1.77738i | ||||
\(86\) | 0.216921 | + | 0.475172i | 0.0233912 | + | 0.0512391i | ||||
\(87\) | 4.46777 | + | 7.73840i | 0.478995 | + | 0.829644i | ||||
\(88\) | −0.578567 | − | 0.170154i | −0.0616754 | − | 0.0181385i | ||||
\(89\) | 12.0125 | − | 4.37219i | 1.27332 | − | 0.463451i | 0.385103 | − | 0.922873i | \(-0.374166\pi\) |
0.888218 | + | 0.459422i | \(0.151944\pi\) | |||||||
\(90\) | −1.41172 | + | 5.10335i | −0.148808 | + | 0.537941i | ||||
\(91\) | −7.99176 | − | 1.40916i | −0.837764 | − | 0.147720i | ||||
\(92\) | 1.06135 | + | 3.06942i | 0.110653 | + | 0.320009i | ||||
\(93\) | −3.49498 | − | 4.16515i | −0.362413 | − | 0.431906i | ||||
\(94\) | 1.89157 | − | 3.97240i | 0.195101 | − | 0.409722i | ||||
\(95\) | 16.1043 | + | 2.64652i | 1.65227 | + | 0.271528i | ||||
\(96\) | −3.42909 | + | 4.49904i | −0.349980 | + | 0.459181i | ||||
\(97\) | −2.56960 | + | 2.15615i | −0.260904 | + | 0.218924i | −0.763851 | − | 0.645393i | \(-0.776694\pi\) |
0.502947 | + | 0.864317i | \(0.332249\pi\) | |||||||
\(98\) | 16.2589 | − | 15.9983i | 1.64240 | − | 1.61608i | ||||
\(99\) | −0.209978 | − | 0.0370247i | −0.0211036 | − | 0.00372113i | ||||
\(100\) | −11.8158 | + | 13.6282i | −1.18158 | + | 1.36282i | ||||
\(101\) | 0.504480 | + | 1.38605i | 0.0501977 | + | 0.137917i | 0.962258 | − | 0.272139i | \(-0.0877312\pi\) |
−0.912060 | + | 0.410056i | \(0.865509\pi\) | |||||||
\(102\) | 6.65576 | − | 4.58074i | 0.659018 | − | 0.453561i | ||||
\(103\) | −3.64427 | − | 6.31206i | −0.359080 | − | 0.621945i | 0.628727 | − | 0.777626i | \(-0.283576\pi\) |
−0.987807 | + | 0.155681i | \(0.950243\pi\) | |||||||
\(104\) | −2.12121 | + | 4.27532i | −0.208001 | + | 0.419229i | ||||
\(105\) | −13.7939 | − | 11.5744i | −1.34614 | − | 1.12955i | ||||
\(106\) | −0.711899 | − | 8.97105i | −0.0691457 | − | 0.871346i | ||||
\(107\) | −5.36045 | − | 3.09486i | −0.518215 | − | 0.299191i | 0.217989 | − | 0.975951i | \(-0.430050\pi\) |
−0.736204 | + | 0.676760i | \(0.763384\pi\) | |||||||
\(108\) | −1.02785 | + | 1.71567i | −0.0989048 | + | 0.165091i | ||||
\(109\) | 10.6400 | − | 1.87612i | 1.01913 | − | 0.179700i | 0.360968 | − | 0.932578i | \(-0.382446\pi\) |
0.658159 | + | 0.752879i | \(0.271335\pi\) | |||||||
\(110\) | −0.919551 | − | 0.655009i | −0.0876758 | − | 0.0624527i | ||||
\(111\) | 2.70209 | + | 0.983481i | 0.256471 | + | 0.0933479i | ||||
\(112\) | −9.07536 | − | 16.9618i | −0.857541 | − | 1.60274i | ||||
\(113\) | −3.25516 | −0.306220 | −0.153110 | − | 0.988209i | \(-0.548929\pi\) | ||||
−0.153110 | + | 0.988209i | \(0.548929\pi\) | |||||||
\(114\) | 5.59613 | + | 2.58520i | 0.524126 | + | 0.242127i | ||||
\(115\) | 6.07999i | 0.566962i | ||||||||
\(116\) | −3.38718 | + | 17.5471i | −0.314491 | + | 1.62921i | ||||
\(117\) | −0.577116 | + | 1.58561i | −0.0533544 | + | 0.146590i | ||||
\(118\) | 1.54607 | − | 2.17050i | 0.142328 | − | 0.199810i | ||||
\(119\) | 4.77126 | + | 27.0591i | 0.437380 | + | 2.48051i | ||||
\(120\) | −8.81947 | + | 5.86222i | −0.805104 | + | 0.535145i | ||||
\(121\) | −5.47727 | + | 9.48691i | −0.497934 | + | 0.862446i | ||||
\(122\) | −0.807220 | − | 10.1723i | −0.0730823 | − | 0.920952i | ||||
\(123\) | 8.08058 | − | 9.63006i | 0.728602 | − | 0.868314i | ||||
\(124\) | 0.175665 | − | 10.8730i | 0.0157752 | − | 0.976427i | ||||
\(125\) | −13.0303 | + | 7.52306i | −1.16547 | + | 0.672883i | ||||
\(126\) | −3.85596 | − | 5.60266i | −0.343516 | − | 0.499125i | ||||
\(127\) | 3.16852 | − | 1.15325i | 0.281161 | − | 0.102334i | −0.197591 | − | 0.980285i | \(-0.563312\pi\) |
0.478751 | + | 0.877950i | \(0.341090\pi\) | |||||||
\(128\) | −11.0762 | + | 2.30596i | −0.979008 | + | 0.203820i | ||||
\(129\) | −0.0641374 | + | 0.363742i | −0.00564699 | + | 0.0320257i | ||||
\(130\) | −6.36859 | + | 6.26653i | −0.558562 | + | 0.549611i | ||||
\(131\) | 11.1461 | + | 13.2834i | 0.973838 | + | 1.16058i | 0.987010 | + | 0.160662i | \(0.0513629\pi\) |
−0.0131714 | + | 0.999913i | \(0.504193\pi\) | |||||||
\(132\) | −0.268794 | − | 0.331053i | −0.0233955 | − | 0.0288144i | ||||
\(133\) | −15.9006 | + | 13.6611i | −1.37876 | + | 1.18456i | ||||
\(134\) | −11.8143 | − | 5.62573i | −1.02060 | − | 0.485989i | ||||
\(135\) | −2.86818 | + | 2.40669i | −0.246853 | + | 0.207135i | ||||
\(136\) | 16.0591 | + | 1.79803i | 1.37706 | + | 0.154180i | ||||
\(137\) | −1.60373 | + | 9.09520i | −0.137016 | + | 0.777055i | 0.836419 | + | 0.548091i | \(0.184645\pi\) |
−0.973435 | + | 0.228965i | \(0.926466\pi\) | |||||||
\(138\) | −0.612275 | + | 2.21337i | −0.0521203 | + | 0.188415i | ||||
\(139\) | 0.00455002 | + | 0.0125011i | 0.000385927 | + | 0.00106033i | 0.939885 | − | 0.341490i | \(-0.110932\pi\) |
−0.939500 | + | 0.342550i | \(0.888709\pi\) | |||||||
\(140\) | −5.67989 | − | 35.5625i | −0.480039 | − | 3.00558i | ||||
\(141\) | 2.69430 | − | 1.55556i | 0.226901 | − | 0.131001i | ||||
\(142\) | −6.09870 | + | 2.78412i | −0.511792 | + | 0.233638i | ||||
\(143\) | −0.275605 | − | 0.231260i | −0.0230473 | − | 0.0193389i | ||||
\(144\) | −3.80100 | + | 1.24594i | −0.316750 | + | 0.103829i | ||||
\(145\) | −16.7279 | + | 28.9737i | −1.38918 | + | 2.40613i | ||||
\(146\) | −1.18940 | + | 12.4370i | −0.0984351 | + | 1.02929i | ||||
\(147\) | 15.8841 | − | 2.80080i | 1.31010 | − | 0.231006i | ||||
\(148\) | 2.79468 | + | 5.02632i | 0.229721 | + | 0.413161i | ||||
\(149\) | 5.97438 | − | 16.4145i | 0.489440 | − | 1.34473i | −0.411747 | − | 0.911298i | \(-0.635081\pi\) |
0.901188 | − | 0.433429i | \(-0.142696\pi\) | |||||||
\(150\) | −12.3459 | + | 3.20141i | −1.00804 | + | 0.261394i | ||||
\(151\) | −11.3428 | −0.923063 | −0.461531 | − | 0.887124i | \(-0.652700\pi\) | ||||
−0.461531 | + | 0.887124i | \(0.652700\pi\) | |||||||
\(152\) | 5.06942 | + | 11.2384i | 0.411184 | + | 0.911552i | ||||
\(153\) | 5.71324 | 0.461888 | ||||||||
\(154\) | 1.40374 | − | 0.364003i | 0.113116 | − | 0.0293322i | ||||
\(155\) | 6.96275 | − | 19.1300i | 0.559262 | − | 1.53656i | ||||
\(156\) | −2.94949 | + | 1.63994i | −0.236149 | + | 0.131300i | ||||
\(157\) | 11.6627 | − | 2.05644i | 0.930783 | − | 0.164122i | 0.312356 | − | 0.949965i | \(-0.398882\pi\) |
0.618426 | + | 0.785843i | \(0.287771\pi\) | |||||||
\(158\) | 1.05044 | − | 10.9840i | 0.0835683 | − | 0.873837i | ||||
\(159\) | 3.18172 | − | 5.51090i | 0.252327 | − | 0.437043i | ||||
\(160\) | −21.0077 | − | 2.69636i | −1.66081 | − | 0.213166i | ||||
\(161\) | −5.98253 | − | 5.01993i | −0.471489 | − | 0.395626i | ||||
\(162\) | −1.28650 | + | 0.587300i | −0.101077 | + | 0.0461427i | ||||
\(163\) | 0.0354509 | − | 0.0204676i | 0.00277673 | − | 0.00160315i | −0.498611 | − | 0.866826i | \(-0.666156\pi\) |
0.501388 | + | 0.865223i | \(0.332823\pi\) | |||||||
\(164\) | 24.8276 | − | 3.96537i | 1.93871 | − | 0.309643i | ||||
\(165\) | −0.273040 | − | 0.750170i | −0.0212561 | − | 0.0584007i | ||||
\(166\) | −0.834206 | + | 3.01565i | −0.0647469 | + | 0.234060i | ||||
\(167\) | −2.49538 | + | 14.1520i | −0.193098 | + | 1.09511i | 0.722003 | + | 0.691890i | \(0.243222\pi\) |
−0.915101 | + | 0.403224i | \(0.867890\pi\) | |||||||
\(168\) | 1.51354 | − | 13.5182i | 0.116772 | − | 1.04295i | ||||
\(169\) | 7.77747 | − | 6.52607i | 0.598267 | − | 0.502006i | ||||
\(170\) | 27.3132 | + | 13.0060i | 2.09483 | + | 0.997511i | ||||
\(171\) | 2.22329 | + | 3.74927i | 0.170019 | + | 0.286714i | ||||
\(172\) | −0.573478 | + | 0.465628i | −0.0437273 | + | 0.0355038i | ||||
\(173\) | −3.87231 | − | 4.61483i | −0.294406 | − | 0.350859i | 0.598484 | − | 0.801135i | \(-0.295770\pi\) |
−0.892890 | + | 0.450276i | \(0.851326\pi\) | |||||||
\(174\) | −9.00742 | + | 8.86307i | −0.682851 | + | 0.671908i | ||||
\(175\) | 7.53161 | − | 42.7139i | 0.569337 | − | 3.22887i | ||||
\(176\) | 0.0275508 | − | 0.852423i | 0.00207672 | − | 0.0642538i | ||||
\(177\) | 1.77069 | − | 0.644479i | 0.133093 | − | 0.0484420i | ||||
\(178\) | 10.2494 | + | 14.8923i | 0.768228 | + | 1.11623i | ||||
\(179\) | −13.3729 | + | 7.72087i | −0.999540 | + | 0.577085i | −0.908112 | − | 0.418727i | \(-0.862476\pi\) |
−0.0914277 | + | 0.995812i | \(0.529143\pi\) | |||||||
\(180\) | −7.48730 | − | 0.120965i | −0.558071 | − | 0.00901621i | ||||
\(181\) | −7.72072 | + | 9.20119i | −0.573876 | + | 0.683919i | −0.972422 | − | 0.233229i | \(-0.925071\pi\) |
0.398545 | + | 0.917149i | \(0.369515\pi\) | |||||||
\(182\) | −0.907858 | − | 11.4404i | −0.0672949 | − | 0.848022i | ||||
\(183\) | 3.60774 | − | 6.24879i | 0.266692 | − | 0.461924i | ||||
\(184\) | −3.82509 | + | 2.54250i | −0.281989 | + | 0.187436i | ||||
\(185\) | 1.86955 | + | 10.6027i | 0.137452 | + | 0.779528i | ||||
\(186\) | 4.46119 | − | 6.26295i | 0.327110 | − | 0.459222i | ||||
\(187\) | −0.416636 | + | 1.14470i | −0.0304674 | + | 0.0837085i | ||||
\(188\) | 6.10944 | + | 1.17932i | 0.445577 | + | 0.0860109i | ||||
\(189\) | − | 4.80928i | − | 0.349823i | ||||||
\(190\) | 2.09378 | + | 22.9853i | 0.151899 | + | 1.66753i | ||||
\(191\) | 16.8687 | 1.22058 | 0.610289 | − | 0.792178i | \(-0.291053\pi\) | ||||
0.610289 | + | 0.792178i | \(0.291053\pi\) | |||||||
\(192\) | −7.37616 | − | 3.09714i | −0.532329 | − | 0.223516i | ||||
\(193\) | −0.219272 | − | 0.0798085i | −0.0157836 | − | 0.00574474i | 0.334116 | − | 0.942532i | \(-0.391562\pi\) |
−0.349900 | + | 0.936787i | \(0.613784\pi\) | |||||||
\(194\) | −3.86379 | − | 2.75223i | −0.277404 | − | 0.197599i | ||||
\(195\) | −6.22178 | + | 1.09707i | −0.445551 | + | 0.0785627i | ||||
\(196\) | 27.6723 | + | 16.5783i | 1.97659 | + | 1.18417i | ||||
\(197\) | −10.8774 | − | 6.28005i | −0.774981 | − | 0.447435i | 0.0596679 | − | 0.998218i | \(-0.480996\pi\) |
−0.834648 | + | 0.550783i | \(0.814329\pi\) | |||||||
\(198\) | −0.0238533 | − | 0.300589i | −0.00169518 | − | 0.0213620i | ||||
\(199\) | 15.5594 | + | 13.0559i | 1.10298 | + | 0.925507i | 0.997622 | − | 0.0689277i | \(-0.0219578\pi\) |
0.105355 | + | 0.994435i | \(0.466402\pi\) | |||||||
\(200\) | −22.8505 | − | 11.3373i | −1.61577 | − | 0.801668i | ||||
\(201\) | −4.62638 | − | 8.01312i | −0.326319 | − | 0.565202i | ||||
\(202\) | −1.71833 | + | 1.18262i | −0.120902 | + | 0.0832089i | ||||
\(203\) | −14.6978 | − | 40.3818i | −1.03158 | − | 2.83425i | ||||
\(204\) | 8.63341 | + | 7.48524i | 0.604459 | + | 0.524072i | ||||
\(205\) | 46.3531 | + | 8.17330i | 3.23744 | + | 0.570848i | ||||
\(206\) | 7.34717 | − | 7.22943i | 0.511902 | − | 0.503698i | ||||
\(207\) | −1.24396 | + | 1.04380i | −0.0864609 | + | 0.0725493i | ||||
\(208\) | −6.60563 | − | 1.38615i | −0.458018 | − | 0.0961120i | ||||
\(209\) | −0.913329 | + | 0.172041i | −0.0631763 | + | 0.0119003i | ||||
\(210\) | 10.9481 | − | 22.9916i | 0.755492 | − | 1.58657i | ||||
\(211\) | 13.7177 | + | 16.3481i | 0.944363 | + | 1.12545i | 0.991956 | + | 0.126581i | \(0.0404003\pi\) |
−0.0475936 | + | 0.998867i | \(0.515155\pi\) | |||||||
\(212\) | 12.0281 | − | 4.15909i | 0.826093 | − | 0.285647i | ||||
\(213\) | −4.66852 | − | 0.823187i | −0.319882 | − | 0.0564038i | ||||
\(214\) | 2.33382 | − | 8.43674i | 0.159536 | − | 0.576724i | ||||
\(215\) | −1.29951 | + | 0.472983i | −0.0886258 | + | 0.0322571i | ||||
\(216\) | −2.71351 | − | 0.798032i | −0.184631 | − | 0.0542992i | ||||
\(217\) | 13.0746 | + | 22.6458i | 0.887559 | + | 1.53730i | ||||
\(218\) | 6.34527 | + | 13.8995i | 0.429756 | + | 0.941393i | ||||
\(219\) | −5.67864 | + | 6.76754i | −0.383727 | + | 0.457308i | ||||
\(220\) | 0.570244 | − | 1.49132i | 0.0384459 | − | 0.100545i | ||||
\(221\) | 8.34881 | + | 4.82019i | 0.561602 | + | 0.324241i | ||||
\(222\) | −0.387136 | + | 4.04811i | −0.0259829 | + | 0.271691i | ||||
\(223\) | −2.45528 | − | 13.9246i | −0.164418 | − | 0.932458i | −0.949663 | − | 0.313273i | \(-0.898574\pi\) |
0.785245 | − | 0.619185i | \(-0.212537\pi\) | |||||||
\(224\) | 19.9981 | − | 18.4447i | 1.33618 | − | 1.23239i | ||||
\(225\) | −8.47469 | − | 3.08454i | −0.564979 | − | 0.205636i | ||||
\(226\) | −1.15552 | − | 4.45611i | −0.0768637 | − | 0.296416i | ||||
\(227\) | − | 1.39854i | − | 0.0928247i | −0.998922 | − | 0.0464123i | \(-0.985221\pi\) | ||
0.998922 | − | 0.0464123i | \(-0.0147788\pi\) | |||||||
\(228\) | −1.55247 | + | 8.57845i | −0.102815 | + | 0.568122i | ||||
\(229\) | − | 25.3096i | − | 1.67250i | −0.548346 | − | 0.836251i | \(-0.684742\pi\) | ||
0.548346 | − | 0.836251i | \(-0.315258\pi\) | |||||||
\(230\) | −8.32312 | + | 2.15827i | −0.548811 | + | 0.142312i | ||||
\(231\) | 0.963579 | + | 0.350714i | 0.0633989 | + | 0.0230753i | ||||
\(232\) | −25.2233 | + | 1.59205i | −1.65599 | + | 0.104523i | ||||
\(233\) | −4.38147 | − | 24.8486i | −0.287040 | − | 1.62788i | −0.697906 | − | 0.716189i | \(-0.745885\pi\) |
0.410867 | − | 0.911696i | \(-0.365226\pi\) | |||||||
\(234\) | −2.37547 | − | 0.227175i | −0.155289 | − | 0.0148509i | ||||
\(235\) | 10.0878 | + | 5.82422i | 0.658058 | + | 0.379930i | ||||
\(236\) | 3.52010 | + | 1.34600i | 0.229139 | + | 0.0876169i | ||||
\(237\) | 5.01520 | − | 5.97688i | 0.325772 | − | 0.388240i | ||||
\(238\) | −35.3486 | + | 16.1370i | −2.29131 | + | 1.04601i | ||||
\(239\) | −6.46416 | − | 11.1963i | −0.418132 | − | 0.724225i | 0.577620 | − | 0.816306i | \(-0.303982\pi\) |
−0.995752 | + | 0.0920806i | \(0.970648\pi\) | |||||||
\(240\) | −11.1557 | − | 9.99233i | −0.720100 | − | 0.645002i | ||||
\(241\) | 5.98694 | − | 2.17907i | 0.385653 | − | 0.140366i | −0.141915 | − | 0.989879i | \(-0.545326\pi\) |
0.527568 | + | 0.849513i | \(0.323104\pi\) | |||||||
\(242\) | −14.9313 | − | 4.13038i | −0.959821 | − | 0.265511i | ||||
\(243\) | −0.984808 | − | 0.173648i | −0.0631754 | − | 0.0111395i | ||||
\(244\) | 13.6386 | − | 4.71598i | 0.873124 | − | 0.301909i | ||||
\(245\) | 38.8178 | + | 46.2612i | 2.47998 | + | 2.95552i | ||||
\(246\) | 16.0514 | + | 7.64333i | 1.02340 | + | 0.487321i | ||||
\(247\) | 0.0857026 | + | 7.35459i | 0.00545313 | + | 0.467962i | ||||
\(248\) | 14.9469 | − | 3.61923i | 0.949126 | − | 0.229821i | ||||
\(249\) | −1.69485 | + | 1.42215i | −0.107407 | + | 0.0901250i | ||||
\(250\) | −14.9241 | − | 15.1672i | −0.943883 | − | 0.959255i | ||||
\(251\) | 4.00026 | + | 0.705354i | 0.252494 | + | 0.0445216i | 0.298463 | − | 0.954421i | \(-0.403526\pi\) |
−0.0459683 | + | 0.998943i | \(0.514637\pi\) | |||||||
\(252\) | 6.30091 | − | 7.26740i | 0.396920 | − | 0.457803i | ||||
\(253\) | −0.118420 | − | 0.325356i | −0.00744499 | − | 0.0204549i | ||||
\(254\) | 2.70348 | + | 3.92812i | 0.169632 | + | 0.246472i | ||||
\(255\) | 10.6956 | + | 18.5253i | 0.669784 | + | 1.16010i | ||||
\(256\) | −7.08855 | − | 14.3441i | −0.443034 | − | 0.896505i | ||||
\(257\) | 3.78914 | + | 3.17947i | 0.236360 | + | 0.198330i | 0.753272 | − | 0.657709i | \(-0.228474\pi\) |
−0.516912 | + | 0.856038i | \(0.672919\pi\) | |||||||
\(258\) | −0.520707 | + | 0.0413207i | −0.0324178 | + | 0.00257252i | ||||
\(259\) | −11.9764 | − | 6.91455i | −0.744175 | − | 0.429649i | ||||
\(260\) | −10.8392 | − | 6.49371i | −0.672219 | − | 0.402723i | ||||
\(261\) | −8.79979 | + | 1.55164i | −0.544693 | + | 0.0960441i | ||||
\(262\) | −14.2275 | + | 19.9736i | −0.878977 | + | 1.23397i | ||||
\(263\) | −11.8580 | − | 4.31595i | −0.731193 | − | 0.266133i | −0.0505235 | − | 0.998723i | \(-0.516089\pi\) |
−0.680670 | + | 0.732590i | \(0.738311\pi\) | |||||||
\(264\) | 0.357774 | − | 0.485479i | 0.0220195 | − | 0.0298792i | ||||
\(265\) | 23.8256 | 1.46359 | ||||||||
\(266\) | −24.3455 | − | 16.9175i | −1.49272 | − | 1.03728i | ||||
\(267\) | 12.7834i | 0.782333i | ||||||||
\(268\) | 3.50742 | − | 18.1701i | 0.214250 | − | 1.10991i | ||||
\(269\) | −1.43459 | + | 3.94150i | −0.0874684 | + | 0.240317i | −0.975713 | − | 0.219054i | \(-0.929703\pi\) |
0.888244 | + | 0.459371i | \(0.151925\pi\) | |||||||
\(270\) | −4.31275 | − | 3.07203i | −0.262465 | − | 0.186958i | ||||
\(271\) | −1.04393 | − | 5.92041i | −0.0634141 | − | 0.359639i | −0.999959 | − | 0.00909061i | \(-0.997106\pi\) |
0.936545 | − | 0.350548i | \(-0.114005\pi\) | |||||||
\(272\) | 3.23929 | + | 22.6222i | 0.196411 | + | 1.37167i | ||||
\(273\) | 4.05752 | − | 7.02784i | 0.245573 | − | 0.425344i | ||||
\(274\) | −13.0201 | + | 1.03321i | −0.786570 | + | 0.0624183i | ||||
\(275\) | 1.23603 | − | 1.47304i | 0.0745352 | − | 0.0888275i | ||||
\(276\) | −3.24731 | − | 0.0524637i | −0.195465 | − | 0.00315794i | ||||
\(277\) | −5.23360 | + | 3.02162i | −0.314457 | + | 0.181552i | −0.648919 | − | 0.760857i | \(-0.724779\pi\) |
0.334462 | + | 0.942409i | \(0.391445\pi\) | |||||||
\(278\) | −0.0154980 | + | 0.0106663i | −0.000929509 | + | 0.000639723i | ||||
\(279\) | 5.10932 | − | 1.85964i | 0.305887 | − | 0.111334i | ||||
\(280\) | 46.6665 | − | 20.3994i | 2.78886 | − | 1.21910i | ||||
\(281\) | 1.72214 | − | 9.76676i | 0.102734 | − | 0.582636i | −0.889367 | − | 0.457195i | \(-0.848854\pi\) |
0.992101 | − | 0.125441i | \(-0.0400346\pi\) | |||||||
\(282\) | 3.08588 | + | 3.13614i | 0.183761 | + | 0.186754i | ||||
\(283\) | 9.18367 | + | 10.9447i | 0.545913 | + | 0.650593i | 0.966502 | − | 0.256658i | \(-0.0826213\pi\) |
−0.420590 | + | 0.907251i | \(0.638177\pi\) | |||||||
\(284\) | −5.97621 | − | 7.36043i | −0.354623 | − | 0.436761i | ||||
\(285\) | −7.99492 | + | 14.2279i | −0.473578 | + | 0.842790i | ||||
\(286\) | 0.218746 | − | 0.459379i | 0.0129347 | − | 0.0271636i | ||||
\(287\) | −46.3136 | + | 38.8618i | −2.73381 | + | 2.29394i | ||||
\(288\) | −3.05490 | − | 4.76105i | −0.180012 | − | 0.280548i | ||||
\(289\) | 2.71606 | − | 15.4035i | 0.159768 | − | 0.906090i | ||||
\(290\) | −45.6012 | − | 12.6144i | −2.67779 | − | 0.740746i | ||||
\(291\) | −1.14726 | − | 3.15208i | −0.0672538 | − | 0.184778i | ||||
\(292\) | −17.4477 | + | 2.78667i | −1.02105 | + | 0.163078i | ||||
\(293\) | −17.2916 | + | 9.98330i | −1.01019 | + | 0.583231i | −0.911246 | − | 0.411863i | \(-0.864878\pi\) |
−0.0989394 | + | 0.995093i | \(0.531545\pi\) | |||||||
\(294\) | 9.47265 | + | 20.7501i | 0.552456 | + | 1.21017i | ||||
\(295\) | 5.40459 | + | 4.53499i | 0.314668 | + | 0.264037i | ||||
\(296\) | −5.88867 | + | 5.60998i | −0.342272 | + | 0.326073i | ||||
\(297\) | 0.106609 | − | 0.184651i | 0.00618605 | − | 0.0107146i | ||||
\(298\) | 24.5912 | + | 2.35175i | 1.42453 | + | 0.136233i | ||||
\(299\) | −2.69845 | + | 0.475809i | −0.156055 | + | 0.0275167i | ||||
\(300\) | −8.76507 | − | 15.7643i | −0.506051 | − | 0.910151i | ||||
\(301\) | 0.607537 | − | 1.66919i | 0.0350179 | − | 0.0962108i | ||||
\(302\) | −4.02646 | − | 15.5276i | −0.231697 | − | 0.893511i | ||||
\(303\) | −1.47500 | −0.0847367 | ||||||||
\(304\) | −13.5851 | + | 10.9291i | −0.779158 | + | 0.626828i | ||||
\(305\) | 27.0158 | 1.54692 | ||||||||
\(306\) | 2.02809 | + | 7.82107i | 0.115938 | + | 0.447101i | ||||
\(307\) | 5.39002 | − | 14.8090i | 0.307625 | − | 0.845193i | −0.685494 | − | 0.728079i | \(-0.740414\pi\) |
0.993118 | − | 0.117114i | \(-0.0373643\pi\) | |||||||
\(308\) | 0.996595 | + | 1.79241i | 0.0567863 | + | 0.102132i | ||||
\(309\) | 7.17781 | − | 1.26564i | 0.408331 | − | 0.0719998i | ||||
\(310\) | 28.6594 | + | 2.74081i | 1.62775 | + | 0.155667i | ||||
\(311\) | 15.0128 | − | 26.0030i | 0.851300 | − | 1.47449i | −0.0287359 | − | 0.999587i | \(-0.509148\pi\) |
0.880036 | − | 0.474907i | \(-0.157518\pi\) | |||||||
\(312\) | −3.29199 | − | 3.45553i | −0.186372 | − | 0.195631i | ||||
\(313\) | 3.77117 | + | 3.16438i | 0.213159 | + | 0.178862i | 0.743115 | − | 0.669163i | \(-0.233347\pi\) |
−0.529957 | + | 0.848025i | \(0.677792\pi\) | |||||||
\(314\) | 6.95516 | + | 15.2355i | 0.392502 | + | 0.859787i | ||||
\(315\) | 15.5942 | − | 9.00330i | 0.878632 | − | 0.507279i | ||||
\(316\) | 15.4092 | − | 2.46110i | 0.866837 | − | 0.138448i | ||||
\(317\) | −2.76660 | − | 7.60116i | −0.155388 | − | 0.426924i | 0.837433 | − | 0.546541i | \(-0.184056\pi\) |
−0.992820 | + | 0.119617i | \(0.961833\pi\) | |||||||
\(318\) | 8.67352 | + | 2.39932i | 0.486387 | + | 0.134547i | ||||
\(319\) | 0.330836 | − | 1.87626i | 0.0185233 | − | 0.105051i | ||||
\(320\) | −3.76617 | − | 29.7154i | −0.210535 | − | 1.66114i | ||||
\(321\) | 4.74160 | − | 3.97868i | 0.264650 | − | 0.222068i | ||||
\(322\) | 4.74830 | − | 9.97168i | 0.264612 | − | 0.555700i | ||||
\(323\) | 23.3008 | − | 8.78958i | 1.29649 | − | 0.489065i | ||||
\(324\) | −1.26066 | − | 1.55266i | −0.0700366 | − | 0.0862587i | ||||
\(325\) | −9.78176 | − | 11.6574i | −0.542594 | − | 0.646639i | ||||
\(326\) | 0.0406032 | + | 0.0412645i | 0.00224880 | + | 0.00228543i | ||||
\(327\) | −1.87612 | + | 10.6400i | −0.103750 | + | 0.588393i | ||||
\(328\) | 14.2417 | + | 32.5799i | 0.786364 | + | 1.79892i | ||||
\(329\) | −14.0599 | + | 5.11737i | −0.775145 | + | 0.282130i | ||||
\(330\) | 0.930012 | − | 0.640069i | 0.0511955 | − | 0.0352347i | ||||
\(331\) | 28.1627 | − | 16.2598i | 1.54796 | − | 0.893718i | 0.549667 | − | 0.835384i | \(-0.314754\pi\) |
0.998297 | − | 0.0583343i | \(-0.0185789\pi\) | |||||||
\(332\) | −4.42436 | − | 0.0714802i | −0.242818 | − | 0.00392298i | ||||
\(333\) | −1.84834 | + | 2.20277i | −0.101288 | + | 0.120711i | ||||
\(334\) | −20.2590 | + | 1.60765i | −1.10852 | + | 0.0879669i | ||||
\(335\) | 17.3218 | − | 30.0022i | 0.946391 | − | 1.63920i | ||||
\(336\) | 19.0429 | − | 2.72676i | 1.03887 | − | 0.148757i | ||||
\(337\) | 2.04911 | + | 11.6211i | 0.111622 | + | 0.633042i | 0.988367 | + | 0.152086i | \(0.0485991\pi\) |
−0.876745 | + | 0.480956i | \(0.840290\pi\) | |||||||
\(338\) | 11.6946 | + | 8.33025i | 0.636104 | + | 0.453106i | ||||
\(339\) | 1.11333 | − | 3.05885i | 0.0604678 | − | 0.166134i | ||||
\(340\) | −8.10871 | + | 42.0069i | −0.439757 | + | 2.27814i | ||||
\(341\) | 1.15931i | 0.0627801i | ||||||||
\(342\) | −4.34329 | + | 4.37445i | −0.234858 | + | 0.236543i | ||||
\(343\) | −43.9046 | −2.37062 | ||||||||
\(344\) | −0.840988 | − | 0.619767i | −0.0453430 | − | 0.0334156i | ||||
\(345\) | −5.71332 | − | 2.07948i | −0.307595 | − | 0.111955i | ||||
\(346\) | 4.94283 | − | 6.93912i | 0.265728 | − | 0.373049i | ||||
\(347\) | −10.6989 | + | 1.88651i | −0.574349 | + | 0.101273i | −0.453276 | − | 0.891370i | \(-0.649745\pi\) |
−0.121073 | + | 0.992644i | \(0.538634\pi\) | |||||||
\(348\) | −15.3304 | − | 9.18438i | −0.821798 | − | 0.492335i | ||||
\(349\) | −9.88402 | − | 5.70654i | −0.529079 | − | 0.305464i | 0.211562 | − | 0.977365i | \(-0.432145\pi\) |
−0.740641 | + | 0.671900i | \(0.765478\pi\) | |||||||
\(350\) | 61.1462 | − | 4.85227i | 3.26840 | − | 0.259364i | ||||
\(351\) | −1.29260 | − | 1.08462i | −0.0689941 | − | 0.0578929i | ||||
\(352\) | 1.17669 | − | 0.264878i | 0.0627180 | − | 0.0141180i | ||||
\(353\) | −0.474064 | − | 0.821102i | −0.0252319 | − | 0.0437029i | 0.853134 | − | 0.521692i | \(-0.174699\pi\) |
−0.878366 | + | 0.477989i | \(0.841366\pi\) | |||||||
\(354\) | 1.51081 | + | 2.19519i | 0.0802987 | + | 0.116673i | ||||
\(355\) | −6.07060 | − | 16.6788i | −0.322194 | − | 0.885221i | ||||
\(356\) | −16.7483 | + | 19.3173i | −0.887657 | + | 1.02382i | ||||
\(357\) | −27.0591 | − | 4.77126i | −1.43212 | − | 0.252522i | ||||
\(358\) | −15.3165 | − | 15.5660i | −0.809502 | − | 0.822686i | ||||
\(359\) | −14.4386 | + | 12.1154i | −0.762041 | + | 0.639429i | −0.938657 | − | 0.344851i | \(-0.887929\pi\) |
0.176616 | + | 0.984280i | \(0.443485\pi\) | |||||||
\(360\) | −2.49225 | − | 10.2926i | −0.131353 | − | 0.542467i | ||||
\(361\) | 14.8355 | + | 11.8705i | 0.780815 | + | 0.624762i | ||||
\(362\) | −15.3366 | − | 7.30294i | −0.806071 | − | 0.383834i | ||||
\(363\) | −7.04144 | − | 8.39166i | −0.369580 | − | 0.440448i | ||||
\(364\) | 15.3390 | − | 5.30393i | 0.803981 | − | 0.278001i | ||||
\(365\) | −32.5747 | − | 5.74380i | −1.70504 | − | 0.300644i | ||||
\(366\) | 9.83487 | + | 2.72058i | 0.514077 | + | 0.142207i | ||||
\(367\) | −31.4471 | + | 11.4458i | −1.64153 | + | 0.597467i | −0.987305 | − | 0.158836i | \(-0.949226\pi\) |
−0.654221 | + | 0.756303i | \(0.727004\pi\) | |||||||
\(368\) | −4.83835 | − | 4.33377i | −0.252216 | − | 0.225913i | ||||
\(369\) | 6.28558 | + | 10.8869i | 0.327214 | + | 0.566751i | ||||
\(370\) | −13.8508 | + | 6.32305i | −0.720070 | + | 0.328720i | ||||
\(371\) | −19.6716 | + | 23.4437i | −1.02130 | + | 1.21713i | ||||
\(372\) | 10.1572 | + | 3.88387i | 0.526628 | + | 0.201369i | ||||
\(373\) | 7.28221 | + | 4.20439i | 0.377059 | + | 0.217695i | 0.676538 | − | 0.736408i | \(-0.263480\pi\) |
−0.299479 | + | 0.954103i | \(0.596813\pi\) | |||||||
\(374\) | −1.71492 | − | 0.164004i | −0.0886762 | − | 0.00848043i | ||||
\(375\) | −2.61273 | − | 14.8175i | −0.134921 | − | 0.765174i | ||||
\(376\) | 0.554308 | + | 8.78207i | 0.0285863 | + | 0.452901i | ||||
\(377\) | −14.1683 | − | 5.15684i | −0.729705 | − | 0.265591i | ||||
\(378\) | 6.58360 | − | 1.70720i | 0.338624 | − | 0.0878087i | ||||
\(379\) | 2.51746i | 0.129313i | 0.997908 | + | 0.0646567i | \(0.0205952\pi\) | ||||
−0.997908 | + | 0.0646567i | \(0.979405\pi\) | |||||||
\(380\) | −30.7221 | + | 11.0256i | −1.57601 | + | 0.565599i | ||||
\(381\) | 3.37187i | 0.172746i | ||||||||
\(382\) | 5.98806 | + | 23.0922i | 0.306376 | + | 1.18150i | ||||
\(383\) | 2.72803 | + | 0.992921i | 0.139396 | + | 0.0507359i | 0.410776 | − | 0.911736i | \(-0.365258\pi\) |
−0.271380 | + | 0.962472i | \(0.587480\pi\) | |||||||
\(384\) | 1.62140 | − | 11.1969i | 0.0827415 | − | 0.571391i | ||||
\(385\) | 0.666690 | + | 3.78099i | 0.0339777 | + | 0.192697i | ||||
\(386\) | 0.0314157 | − | 0.328500i | 0.00159902 | − | 0.0167202i | ||||
\(387\) | −0.319869 | − | 0.184676i | −0.0162599 | − | 0.00938763i | ||||
\(388\) | 2.39607 | − | 6.26628i | 0.121642 | − | 0.318122i | ||||
\(389\) | −0.827774 | + | 0.986503i | −0.0419698 | + | 0.0500177i | −0.786621 | − | 0.617436i | \(-0.788171\pi\) |
0.744651 | + | 0.667454i | \(0.232616\pi\) | |||||||
\(390\) | −3.71042 | − | 8.12779i | −0.187885 | − | 0.411567i | ||||
\(391\) | 4.63878 | + | 8.03460i | 0.234593 | + | 0.406327i | ||||
\(392\) | −12.8716 | + | 43.7666i | −0.650113 | + | 2.21055i | ||||
\(393\) | −16.2945 | + | 5.93071i | −0.821948 | + | 0.299165i | ||||
\(394\) | 4.73575 | − | 17.1197i | 0.238584 | − | 0.862480i | ||||
\(395\) | 28.7690 | + | 5.07275i | 1.44752 | + | 0.255238i | ||||
\(396\) | 0.403021 | − | 0.139357i | 0.0202526 | − | 0.00700295i | ||||
\(397\) | −18.9425 | − | 22.5747i | −0.950695 | − | 1.13299i | −0.991007 | − | 0.133807i | \(-0.957280\pi\) |
0.0403124 | − | 0.999187i | \(-0.487165\pi\) | |||||||
\(398\) | −12.3494 | + | 25.9344i | −0.619020 | + | 1.29997i | ||||
\(399\) | −7.39887 | − | 19.6140i | −0.370407 | − | 0.981930i | ||||
\(400\) | 7.40860 | − | 35.3054i | 0.370430 | − | 1.76527i | ||||
\(401\) | 18.4739 | − | 15.5014i | 0.922543 | − | 0.774105i | −0.0519209 | − | 0.998651i | \(-0.516534\pi\) |
0.974463 | + | 0.224546i | \(0.0720899\pi\) | |||||||
\(402\) | 9.32719 | − | 9.17772i | 0.465198 | − | 0.457743i | ||||
\(403\) | 9.03525 | + | 1.59316i | 0.450078 | + | 0.0793608i | ||||
\(404\) | −2.22891 | − | 1.93248i | −0.110892 | − | 0.0961447i | ||||
\(405\) | −1.28057 | − | 3.51834i | −0.0636321 | − | 0.174828i | ||||
\(406\) | 50.0628 | − | 34.4551i | 2.48457 | − | 1.70998i | ||||
\(407\) | −0.306553 | − | 0.530966i | −0.0151953 | − | 0.0263190i | ||||
\(408\) | −7.18215 | + | 14.4757i | −0.355569 | + | 0.716654i | ||||
\(409\) | −4.43036 | − | 3.71752i | −0.219067 | − | 0.183819i | 0.526649 | − | 0.850083i | \(-0.323448\pi\) |
−0.745716 | + | 0.666263i | \(0.767893\pi\) | |||||||
\(410\) | 5.26567 | + | 66.3558i | 0.260053 | + | 3.27708i | ||||
\(411\) | −7.99819 | − | 4.61775i | −0.394521 | − | 0.227777i | ||||
\(412\) | 12.5047 | + | 7.49151i | 0.616064 | + | 0.369080i | ||||
\(413\) | −8.92459 | + | 1.57365i | −0.439150 | + | 0.0774340i | ||||
\(414\) | −1.87048 | − | 1.33237i | −0.0919290 | − | 0.0654823i | ||||
\(415\) | −7.78422 | − | 2.83323i | −0.382112 | − | 0.139078i | ||||
\(416\) | −0.447315 | − | 9.53474i | −0.0219314 | − | 0.467479i | ||||
\(417\) | −0.0133034 | −0.000651468 | ||||||||
\(418\) | −0.559727 | − | 1.18922i | −0.0273771 | − | 0.0581666i | ||||
\(419\) | − | 39.0043i | − | 1.90549i | −0.303779 | − | 0.952743i | \(-0.598248\pi\) | ||
0.303779 | − | 0.952743i | \(-0.401752\pi\) | |||||||
\(420\) | 35.3604 | + | 6.82573i | 1.72541 | + | 0.333061i | ||||
\(421\) | −5.90116 | + | 16.2133i | −0.287605 | + | 0.790187i | 0.708796 | + | 0.705414i | \(0.249239\pi\) |
−0.996400 | + | 0.0847735i | \(0.972983\pi\) | |||||||
\(422\) | −17.5100 | + | 24.5819i | −0.852373 | + | 1.19663i | ||||
\(423\) | 0.540239 | + | 3.06385i | 0.0262673 | + | 0.148969i | ||||
\(424\) | 9.96326 | + | 14.9893i | 0.483859 | + | 0.727946i | ||||
\(425\) | −25.7627 | + | 44.6222i | −1.24967 | + | 2.16450i | ||||
\(426\) | −0.530341 | − | 6.68313i | −0.0256951 | − | 0.323799i | ||||
\(427\) | −22.3055 | + | 26.5827i | −1.07944 | + | 1.28643i | ||||
\(428\) | 12.3778 | + | 0.199977i | 0.598305 | + | 0.00966624i | ||||
\(429\) | 0.311576 | − | 0.179888i | 0.0150430 | − | 0.00868510i | ||||
\(430\) | −1.10878 | − | 1.61105i | −0.0534703 | − | 0.0776916i | ||||
\(431\) | 1.21094 | − | 0.440746i | 0.0583289 | − | 0.0212300i | −0.312691 | − | 0.949855i | \(-0.601230\pi\) |
0.371020 | + | 0.928625i | \(0.379008\pi\) | |||||||
\(432\) | 0.129215 | − | 3.99791i | 0.00621684 | − | 0.192350i | ||||
\(433\) | 5.77410 | − | 32.7465i | 0.277485 | − | 1.57370i | −0.453469 | − | 0.891272i | \(-0.649814\pi\) |
0.730955 | − | 0.682426i | \(-0.239075\pi\) | |||||||
\(434\) | −26.3595 | + | 25.9370i | −1.26530 | + | 1.24502i | ||||
\(435\) | −21.5050 | − | 25.6287i | −1.03109 | − | 1.22880i | ||||
\(436\) | −16.7751 | + | 13.6203i | −0.803382 | + | 0.652295i | ||||
\(437\) | −3.46747 | + | 6.17079i | −0.165872 | + | 0.295189i | ||||
\(438\) | −11.2801 | − | 5.37137i | −0.538986 | − | 0.256654i | ||||
\(439\) | −16.0205 | + | 13.4428i | −0.764617 | + | 0.641590i | −0.939324 | − | 0.343030i | \(-0.888547\pi\) |
0.174707 | + | 0.984620i | \(0.444102\pi\) | |||||||
\(440\) | 2.24395 | + | 0.251239i | 0.106976 | + | 0.0119774i | ||||
\(441\) | −2.80080 | + | 15.8841i | −0.133371 | + | 0.756386i | ||||
\(442\) | −3.63488 | + | 13.1401i | −0.172893 | + | 0.625009i | ||||
\(443\) | 3.69447 | + | 10.1505i | 0.175530 | + | 0.482263i | 0.995993 | − | 0.0894362i | \(-0.0285065\pi\) |
−0.820463 | + | 0.571700i | \(0.806284\pi\) | |||||||
\(444\) | −5.67903 | + | 0.907032i | −0.269515 | + | 0.0430459i | ||||
\(445\) | −41.4505 | + | 23.9315i | −1.96494 | + | 1.13446i | ||||
\(446\) | 18.1903 | − | 8.30406i | 0.861335 | − | 0.393209i | ||||
\(447\) | 13.3812 | + | 11.2282i | 0.632909 | + | 0.531074i | ||||
\(448\) | 32.3486 | + | 20.8287i | 1.52833 | + | 0.984063i | ||||
\(449\) | 10.9702 | − | 19.0009i | 0.517715 | − | 0.896708i | −0.482074 | − | 0.876131i | \(-0.660116\pi\) |
0.999788 | − | 0.0205774i | \(-0.00655044\pi\) | |||||||
\(450\) | 1.21419 | − | 12.6963i | 0.0572376 | − | 0.598508i | ||||
\(451\) | −2.63966 | + | 0.465444i | −0.124297 | + | 0.0219169i | ||||
\(452\) | 5.68995 | − | 3.16366i | 0.267633 | − | 0.148806i | ||||
\(453\) | 3.87946 | − | 10.6587i | 0.182273 | − | 0.500791i | ||||
\(454\) | 1.91452 | − | 0.496455i | 0.0898529 | − | 0.0232998i | ||||
\(455\) | 30.3839 | 1.42442 | ||||||||
\(456\) | −12.2945 | + | 0.919946i | −0.575741 | + | 0.0430804i | ||||
\(457\) | −6.53062 | −0.305489 | −0.152745 | − | 0.988266i | \(-0.548811\pi\) | ||||
−0.152745 | + | 0.988266i | \(0.548811\pi\) | |||||||
\(458\) | 34.6472 | − | 8.98438i | 1.61896 | − | 0.419813i | ||||
\(459\) | −1.95404 | + | 5.36869i | −0.0912070 | + | 0.250589i | ||||
\(460\) | −5.90908 | − | 10.6277i | −0.275512 | − | 0.495519i | ||||
\(461\) | −21.8713 | + | 3.85649i | −1.01865 | + | 0.179615i | −0.657944 | − | 0.753067i | \(-0.728574\pi\) |
−0.360701 | + | 0.932681i | \(0.617463\pi\) | |||||||
\(462\) | −0.138055 | + | 1.44358i | −0.00642288 | + | 0.0671612i | ||||
\(463\) | −7.77689 | + | 13.4700i | −0.361423 | + | 0.626002i | −0.988195 | − | 0.153200i | \(-0.951042\pi\) |
0.626773 | + | 0.779202i | \(0.284376\pi\) | |||||||
\(464\) | −11.1332 | − | 33.9640i | −0.516845 | − | 1.57674i | ||||
\(465\) | 15.5949 | + | 13.0857i | 0.723197 | + | 0.606834i | ||||
\(466\) | 32.4608 | − | 14.8187i | 1.50372 | − | 0.686463i | ||||
\(467\) | 10.9962 | − | 6.34867i | 0.508844 | − | 0.293781i | −0.223514 | − | 0.974701i | \(-0.571753\pi\) |
0.732358 | + | 0.680919i | \(0.238420\pi\) | |||||||
\(468\) | −0.532255 | − | 3.33251i | −0.0246035 | − | 0.154045i | ||||
\(469\) | 15.2196 | + | 41.8154i | 0.702775 | + | 1.93086i | ||||
\(470\) | −4.39201 | + | 15.8771i | −0.202588 | + | 0.732356i | ||||
\(471\) | −2.05644 | + | 11.6627i | −0.0947559 | + | 0.537388i | ||||
\(472\) | −0.593021 | + | 5.29660i | −0.0272960 | + | 0.243796i | ||||
\(473\) | 0.0603278 | − | 0.0506210i | 0.00277387 | − | 0.00232756i | ||||
\(474\) | 9.96228 | + | 4.74382i | 0.457582 | + | 0.217891i | ||||
\(475\) | −39.3084 | + | 0.458058i | −1.80359 | + | 0.0210172i | ||||
\(476\) | −34.6386 | − | 42.6617i | −1.58766 | − | 1.95539i | ||||
\(477\) | 4.09034 | + | 4.87467i | 0.187284 | + | 0.223196i | ||||
\(478\) | 13.0323 | − | 12.8235i | 0.596084 | − | 0.586532i | ||||
\(479\) | 4.26656 | − | 24.1969i | 0.194944 | − | 1.10558i | −0.717554 | − | 0.696503i | \(-0.754738\pi\) |
0.912498 | − | 0.409081i | \(-0.134151\pi\) | |||||||
\(480\) | 9.71881 | − | 18.8186i | 0.443601 | − | 0.858947i | ||||
\(481\) | −4.55944 | + | 1.65950i | −0.207893 | + | 0.0756667i | ||||
\(482\) | 5.10825 | + | 7.42222i | 0.232674 | + | 0.338073i | ||||
\(483\) | 6.76334 | − | 3.90482i | 0.307743 | − | 0.177675i | ||||
\(484\) | 0.353918 | − | 21.9062i | 0.0160872 | − | 0.995737i | ||||
\(485\) | 8.07293 | − | 9.62095i | 0.366573 | − | 0.436865i | ||||
\(486\) | −0.111873 | − | 1.40978i | −0.00507468 | − | 0.0639490i | ||||
\(487\) | 3.13625 | − | 5.43214i | 0.142117 | − | 0.246154i | −0.786177 | − | 0.618002i | \(-0.787942\pi\) |
0.928294 | + | 0.371848i | \(0.121276\pi\) | |||||||
\(488\) | 11.2973 | + | 16.9963i | 0.511405 | + | 0.769389i | ||||
\(489\) | 0.00710832 | + | 0.0403133i | 0.000321449 | + | 0.00182303i | ||||
\(490\) | −49.5492 | + | 69.5609i | −2.23840 | + | 3.14244i | ||||
\(491\) | 3.34496 | − | 9.19021i | 0.150956 | − | 0.414748i | −0.841047 | − | 0.540962i | \(-0.818060\pi\) |
0.992003 | + | 0.126214i | \(0.0402825\pi\) | |||||||
\(492\) | −4.76532 | + | 24.6866i | −0.214837 | + | 1.11296i | ||||
\(493\) | 51.0509i | 2.29922i | ||||||||
\(494\) | −10.0376 | + | 2.72805i | −0.451611 | + | 0.122741i | ||||
\(495\) | 0.798314 | 0.0358816 | ||||||||
\(496\) | 10.2603 | + | 19.1765i | 0.460702 | + | 0.861052i | ||||
\(497\) | 21.4237 | + | 7.79758i | 0.960983 | + | 0.349769i | ||||
\(498\) | −2.54847 | − | 1.81531i | −0.114200 | − | 0.0813460i | ||||
\(499\) | 19.2914 | − | 3.40160i | 0.863604 | − | 0.152277i | 0.275736 | − | 0.961233i | \(-0.411079\pi\) |
0.587868 | + | 0.808957i | \(0.299967\pi\) | |||||||
\(500\) | 15.4651 | − | 25.8142i | 0.691622 | − | 1.15445i | ||||
\(501\) | −12.4450 | − | 7.18515i | −0.556004 | − | 0.321009i | ||||
\(502\) | 0.454426 | + | 5.72649i | 0.0202820 | + | 0.255586i | ||||
\(503\) | 0.160015 | + | 0.134269i | 0.00713472 | + | 0.00598674i | 0.646348 | − | 0.763043i | \(-0.276295\pi\) |
−0.639213 | + | 0.769030i | \(0.720740\pi\) | |||||||
\(504\) | 12.1853 | + | 6.04576i | 0.542777 | + | 0.269300i | ||||
\(505\) | −2.76131 | − | 4.78272i | −0.122877 | − | 0.212828i | ||||
\(506\) | 0.403355 | − | 0.277604i | 0.0179313 | − | 0.0123410i | ||||
\(507\) | 3.47245 | + | 9.54048i | 0.154217 | + | 0.423708i | ||||
\(508\) | −4.41767 | + | 5.09530i | −0.196003 | + | 0.226067i | ||||
\(509\) | 34.0944 | + | 6.01175i | 1.51121 | + | 0.266466i | 0.866970 | − | 0.498361i | \(-0.166064\pi\) |
0.644236 | + | 0.764827i | \(0.277176\pi\) | |||||||
\(510\) | −21.5633 | + | 21.2177i | −0.954837 | + | 0.939535i | ||||
\(511\) | 32.5470 | − | 27.3102i | 1.43979 | − | 1.20813i | ||||
\(512\) | 17.1199 | − | 14.7956i | 0.756598 | − | 0.653881i | ||||
\(513\) | −4.28357 | + | 0.806882i | −0.189124 | + | 0.0356247i | ||||
\(514\) | −3.00742 | + | 6.31574i | −0.132652 | + | 0.278575i | ||||
\(515\) | 17.5412 | + | 20.9048i | 0.772958 | + | 0.921176i | ||||
\(516\) | −0.241406 | − | 0.698147i | −0.0106273 | − | 0.0307342i | ||||
\(517\) | −0.653264 | − | 0.115188i | −0.0287305 | − | 0.00506597i | ||||
\(518\) | 5.21422 | − | 18.8494i | 0.229100 | − | 0.828195i | ||||
\(519\) | 5.66093 | − | 2.06041i | 0.248487 | − | 0.0904420i | ||||
\(520\) | 5.04178 | − | 17.1433i | 0.221097 | − | 0.751784i | ||||
\(521\) | −8.12483 | − | 14.0726i | −0.355955 | − | 0.616532i | 0.631326 | − | 0.775518i | \(-0.282511\pi\) |
−0.987281 | + | 0.158985i | \(0.949178\pi\) | |||||||
\(522\) | −5.24784 | − | 11.4956i | −0.229692 | − | 0.503147i | ||||
\(523\) | −23.3253 | + | 27.7980i | −1.01994 | + | 1.21552i | −0.0436570 | + | 0.999047i | \(0.513901\pi\) |
−0.976288 | + | 0.216476i | \(0.930544\pi\) | |||||||
\(524\) | −32.3931 | − | 12.3863i | −1.41510 | − | 0.541098i | ||||
\(525\) | 37.5620 | + | 21.6864i | 1.63934 | + | 0.946473i | ||||
\(526\) | 1.69892 | − | 17.7649i | 0.0740765 | − | 0.774586i | ||||
\(527\) | −5.39424 | − | 30.5922i | −0.234977 | − | 1.33262i | ||||
\(528\) | 0.791593 | + | 0.317435i | 0.0344497 | + | 0.0138146i | ||||
\(529\) | 19.1350 | + | 6.96457i | 0.831957 | + | 0.302808i | ||||
\(530\) | 8.45760 | + | 32.6157i | 0.367375 | + | 1.41674i | ||||
\(531\) | 1.88433i | 0.0817730i | ||||||||
\(532\) | 14.5169 | − | 39.3329i | 0.629386 | − | 1.70530i | ||||
\(533\) | 21.2122i | 0.918804i | ||||||||
\(534\) | −17.4997 | + | 4.53786i | −0.757286 | + | 0.196372i | ||||
\(535\) | 21.7775 | + | 7.92638i | 0.941525 | + | 0.342687i | ||||
\(536\) | 26.1188 | − | 1.64857i | 1.12816 | − | 0.0712073i | ||||
\(537\) | −2.68143 | − | 15.2071i | −0.115712 | − | 0.656236i | ||||
\(538\) | −5.90491 | − | 0.564709i | −0.254579 | − | 0.0243463i | ||||
\(539\) | −2.97827 | − | 1.71950i | −0.128283 | − | 0.0740643i | ||||
\(540\) | 2.67448 | − | 6.99439i | 0.115091 | − | 0.300991i | ||||
\(541\) | 14.7020 | − | 17.5212i | 0.632089 | − | 0.753294i | −0.351010 | − | 0.936372i | \(-0.614162\pi\) |
0.983098 | + | 0.183078i | \(0.0586061\pi\) | |||||||
\(542\) | 7.73409 | − | 3.53069i | 0.332208 | − | 0.151656i | ||||
\(543\) | −6.00565 | − | 10.4021i | −0.257727 | − | 0.446397i | ||||
\(544\) | −29.8185 | + | 12.4648i | −1.27846 | + | 0.534425i | ||||
\(545\) | −38.0126 | + | 13.8355i | −1.62828 | + | 0.592646i | ||||
\(546\) | 11.0610 | + | 3.05976i | 0.473367 | + | 0.130945i | ||||
\(547\) | −3.57078 | − | 0.629625i | −0.152676 | − | 0.0269208i | 0.0967879 | − | 0.995305i | \(-0.469143\pi\) |
−0.249464 | + | 0.968384i | \(0.580254\pi\) | |||||||
\(548\) | −6.03625 | − | 17.4569i | −0.257856 | − | 0.745720i | ||||
\(549\) | 4.63802 | + | 5.52738i | 0.197946 | + | 0.235903i | ||||
\(550\) | 2.45526 | + | 1.16914i | 0.104693 | + | 0.0498524i | ||||
\(551\) | −33.5017 | + | 19.8663i | −1.42722 | + | 0.846331i | ||||
\(552\) | −1.08091 | − | 4.46399i | −0.0460066 | − | 0.190000i | ||||
\(553\) | −28.7445 | + | 24.1195i | −1.22234 | + | 1.02567i | ||||
\(554\) | −5.99424 | − | 6.09186i | −0.254671 | − | 0.258818i | ||||
\(555\) | −10.6027 | − | 1.86955i | −0.450061 | − | 0.0793579i | ||||
\(556\) | −0.0201030 | − | 0.0174295i | −0.000852557 | − | 0.000739175i | ||||
\(557\) | −5.26380 | − | 14.4622i | −0.223034 | − | 0.612782i | 0.776822 | − | 0.629720i | \(-0.216830\pi\) |
−0.999857 | + | 0.0169384i | \(0.994608\pi\) | |||||||
\(558\) | 4.35944 | + | 6.33420i | 0.184550 | + | 0.268148i | ||||
\(559\) | −0.311618 | − | 0.539739i | −0.0131800 | − | 0.0228285i | ||||
\(560\) | 44.4911 | + | 56.6422i | 1.88009 | + | 2.39357i | ||||
\(561\) | −0.933165 | − | 0.783019i | −0.0393983 | − | 0.0330591i | ||||
\(562\) | 13.9814 | − | 1.10950i | 0.589770 | − | 0.0468012i | ||||
\(563\) | 0.216897 | + | 0.125225i | 0.00914110 | + | 0.00527762i | 0.504564 | − | 0.863375i | \(-0.331653\pi\) |
−0.495422 | + | 0.868652i | \(0.664987\pi\) | |||||||
\(564\) | −3.19775 | + | 5.33764i | −0.134650 | + | 0.224755i | ||||
\(565\) | 12.0026 | − | 2.11638i | 0.504953 | − | 0.0890369i | ||||
\(566\) | −11.7226 | + | 16.4570i | −0.492736 | + | 0.691740i | ||||
\(567\) | 4.51924 | + | 1.64487i | 0.189790 | + | 0.0690780i | ||||
\(568\) | 7.95454 | − | 10.7939i | 0.333765 | − | 0.452900i | ||||
\(569\) | −17.0568 | −0.715057 | −0.357529 | − | 0.933902i | \(-0.616381\pi\) | ||||
−0.357529 | + | 0.933902i | \(0.616381\pi\) | |||||||
\(570\) | −22.3152 | − | 5.89391i | −0.934681 | − | 0.246869i | ||||
\(571\) | 19.9176i | 0.833524i | 0.909016 | + | 0.416762i | \(0.136835\pi\) | ||||
−0.909016 | + | 0.416762i | \(0.863165\pi\) | |||||||
\(572\) | 0.706511 | + | 0.136380i | 0.0295407 | + | 0.00570233i | ||||
\(573\) | −5.76945 | + | 15.8514i | −0.241022 | + | 0.662203i | ||||
\(574\) | −69.6397 | − | 49.6053i | −2.90671 | − | 2.07049i | ||||
\(575\) | −2.54308 | − | 14.4225i | −0.106054 | − | 0.601460i | ||||
\(576\) | 5.43315 | − | 5.87204i | 0.226381 | − | 0.244668i | ||||
\(577\) | −3.82736 | + | 6.62917i | −0.159335 | + | 0.275976i | −0.934629 | − | 0.355624i | \(-0.884268\pi\) |
0.775294 | + | 0.631600i | \(0.217602\pi\) | |||||||
\(578\) | 22.0506 | − | 1.74983i | 0.917184 | − | 0.0727832i | ||||
\(579\) | 0.149991 | − | 0.178752i | 0.00623341 | − | 0.00742869i | ||||
\(580\) | 1.08089 | − | 66.9031i | 0.0448815 | − | 2.77800i | ||||
\(581\) | 9.21484 | − | 5.32019i | 0.382296 | − | 0.220719i | ||||
\(582\) | 3.90775 | − | 2.68946i | 0.161981 | − | 0.111482i | ||||
\(583\) | −1.27497 | + | 0.464050i | −0.0528038 | + | 0.0192190i | ||||
\(584\) | −10.0083 | − | 22.8956i | −0.414148 | − | 0.947425i | ||||
\(585\) | 1.09707 | − | 6.22178i | 0.0453582 | − | 0.257239i | ||||
\(586\) | −19.8047 | − | 20.1272i | −0.818124 | − | 0.831448i | ||||
\(587\) | 3.06332 | + | 3.65072i | 0.126437 | + | 0.150681i | 0.825549 | − | 0.564331i | \(-0.190866\pi\) |
−0.699112 | + | 0.715012i | \(0.746421\pi\) | |||||||
\(588\) | −25.0430 | + | 20.3333i | −1.03276 | + | 0.838533i | ||||
\(589\) | 17.9767 | − | 15.4448i | 0.740719 | − | 0.636391i | ||||
\(590\) | −4.28960 | + | 9.00838i | −0.176600 | + | 0.370869i | ||||
\(591\) | 9.62160 | − | 8.07348i | 0.395780 | − | 0.332099i | ||||
\(592\) | −9.77007 | − | 6.06979i | −0.401547 | − | 0.249467i | ||||
\(593\) | 3.94472 | − | 22.3716i | 0.161990 | − | 0.918691i | −0.790124 | − | 0.612947i | \(-0.789984\pi\) |
0.952114 | − | 0.305744i | \(-0.0989052\pi\) | |||||||
\(594\) | 0.290620 | + | 0.0803929i | 0.0119243 | + | 0.00329856i | ||||
\(595\) | −35.1857 | − | 96.6719i | −1.44247 | − | 3.96316i | ||||
\(596\) | 5.50998 | + | 34.4986i | 0.225697 | + | 1.41312i | ||||
\(597\) | −17.5901 | + | 10.1557i | −0.719917 | + | 0.415644i | ||||
\(598\) | −1.60925 | − | 3.52510i | −0.0658070 | − | 0.144152i | ||||
\(599\) | 27.5053 | + | 23.0797i | 1.12383 | + | 0.943009i | 0.998792 | − | 0.0491419i | \(-0.0156486\pi\) |
0.125043 | + | 0.992151i | \(0.460093\pi\) | |||||||
\(600\) | 18.4689 | − | 17.5948i | 0.753990 | − | 0.718306i | ||||
\(601\) | −14.7246 | + | 25.5038i | −0.600630 | + | 1.04032i | 0.392096 | + | 0.919924i | \(0.371750\pi\) |
−0.992726 | + | 0.120397i | \(0.961583\pi\) | |||||||
\(602\) | 2.50069 | + | 0.239150i | 0.101920 | + | 0.00974703i | ||||
\(603\) | 9.11218 | − | 1.60672i | 0.371077 | − | 0.0654309i | ||||
\(604\) | 19.8269 | − | 11.0239i | 0.806747 | − | 0.448558i | ||||
\(605\) | 14.0281 | − | 38.5418i | 0.570322 | − | 1.56695i | ||||
\(606\) | −0.523596 | − | 2.01919i | −0.0212696 | − | 0.0820238i | ||||
\(607\) | 26.4330 | 1.07288 | 0.536440 | − | 0.843938i | \(-0.319769\pi\) | ||||
0.536440 | + | 0.843938i | \(0.319769\pi\) | |||||||
\(608\) | −19.7837 | − | 14.7175i | −0.802335 | − | 0.596874i | ||||
\(609\) | 42.9735 | 1.74137 | ||||||||
\(610\) | 9.59005 | + | 36.9829i | 0.388290 | + | 1.49739i | ||||
\(611\) | −1.79547 | + | 4.93302i | −0.0726370 | + | 0.199569i | ||||
\(612\) | −9.98663 | + | 5.55264i | −0.403685 | + | 0.224452i | ||||
\(613\) | −33.0744 | + | 5.83191i | −1.33586 | + | 0.235549i | −0.795536 | − | 0.605906i | \(-0.792811\pi\) |
−0.540327 | + | 0.841455i | \(0.681700\pi\) | |||||||
\(614\) | 22.1859 | + | 2.12172i | 0.895350 | + | 0.0856257i | ||||
\(615\) | −23.5341 | + | 40.7622i | −0.948986 | + | 1.64369i | ||||
\(616\) | −2.09993 | + | 2.00055i | −0.0846085 | + | 0.0806043i | ||||
\(617\) | −27.7895 | − | 23.3182i | −1.11876 | − | 0.938754i | −0.120222 | − | 0.992747i | \(-0.538361\pi\) |
−0.998541 | + | 0.0539936i | \(0.982805\pi\) | |||||||
\(618\) | 4.28056 | + | 9.37669i | 0.172189 | + | 0.377186i | ||||
\(619\) | 27.9200 | − | 16.1196i | 1.12220 | − | 0.647902i | 0.180237 | − | 0.983623i | \(-0.442313\pi\) |
0.941961 | + | 0.335721i | \(0.108980\pi\) | |||||||
\(620\) | 6.42152 | + | 40.2059i | 0.257894 | + | 1.61471i | ||||
\(621\) | −0.555396 | − | 1.52594i | −0.0222873 | − | 0.0612337i | ||||
\(622\) | 40.9257 | + | 11.3211i | 1.64097 | + | 0.453935i | ||||
\(623\) | 10.6757 | − | 60.5450i | 0.427714 | − | 2.42568i | ||||
\(624\) | 3.56181 | − | 5.73317i | 0.142586 | − | 0.229510i | ||||
\(625\) | 8.61178 | − | 7.22614i | 0.344471 | − | 0.289045i | ||||
\(626\) | −2.99316 | + | 6.28578i | −0.119631 | + | 0.251230i | ||||
\(627\) | 0.150711 | − | 0.917090i | 0.00601883 | − | 0.0366251i | ||||
\(628\) | −18.3875 | + | 14.9295i | −0.733740 | + | 0.595750i | ||||
\(629\) | 10.5600 | + | 12.5849i | 0.421055 | + | 0.501794i | ||||
\(630\) | 17.8606 | + | 18.1515i | 0.711582 | + | 0.723171i | ||||
\(631\) | 1.29098 | − | 7.32153i | 0.0513933 | − | 0.291466i | −0.948269 | − | 0.317469i | \(-0.897167\pi\) |
0.999662 | + | 0.0260035i | \(0.00827811\pi\) | |||||||
\(632\) | 8.83906 | + | 20.2206i | 0.351599 | + | 0.804334i | ||||
\(633\) | −20.0539 | + | 7.29901i | −0.797070 | + | 0.290110i | ||||
\(634\) | 9.42343 | − | 6.48556i | 0.374252 | − | 0.257574i | ||||
\(635\) | −10.9333 | + | 6.31237i | −0.433877 | + | 0.250499i | ||||
\(636\) | −0.205589 | + | 12.7252i | −0.00815213 | + | 0.504587i | ||||
\(637\) | −17.4940 | + | 20.8486i | −0.693139 | + | 0.826051i | ||||
\(638\) | 2.68593 | − | 0.213142i | 0.106337 | − | 0.00843837i | ||||
\(639\) | 2.37027 | − | 4.10543i | 0.0937665 | − | 0.162408i | ||||
\(640\) | 39.3416 | − | 15.7040i | 1.55511 | − | 0.620755i | ||||
\(641\) | −0.188563 | − | 1.06939i | −0.00744778 | − | 0.0422385i | 0.980857 | − | 0.194727i | \(-0.0623822\pi\) |
−0.988305 | + | 0.152489i | \(0.951271\pi\) | |||||||
\(642\) | 7.12973 | + | 5.07860i | 0.281388 | + | 0.200437i | ||||
\(643\) | −8.76830 | + | 24.0907i | −0.345788 | + | 0.950045i | 0.637893 | + | 0.770125i | \(0.279806\pi\) |
−0.983681 | + | 0.179920i | \(0.942416\pi\) | |||||||
\(644\) | 15.3362 | + | 2.96038i | 0.604329 | + | 0.116655i | ||||
\(645\) | − | 1.38291i | − | 0.0544520i | ||||||
\(646\) | 20.3037 | + | 28.7771i | 0.798838 | + | 1.13222i | ||||
\(647\) | 46.9356 | 1.84523 | 0.922614 | − | 0.385724i | \(-0.126048\pi\) | ||||
0.922614 | + | 0.385724i | \(0.126048\pi\) | |||||||
\(648\) | 1.67798 | − | 2.27692i | 0.0659173 | − | 0.0894460i | ||||
\(649\) | −0.377541 | − | 0.137414i | −0.0148198 | − | 0.00539397i | ||||
\(650\) | 12.4860 | − | 17.5288i | 0.489741 | − | 0.687535i | ||||
\(651\) | −25.7518 | + | 4.54075i | −1.00929 | + | 0.177966i | ||||
\(652\) | −0.0420752 | + | 0.0702313i | −0.00164779 | + | 0.00275047i | ||||
\(653\) | 2.58278 | + | 1.49117i | 0.101072 | + | 0.0583539i | 0.549684 | − | 0.835373i | \(-0.314748\pi\) |
−0.448612 | + | 0.893727i | \(0.648082\pi\) | |||||||
\(654\) | −15.2315 | + | 1.20870i | −0.595598 | + | 0.0472637i | ||||
\(655\) | −49.7349 | − | 41.7325i | −1.94330 | − | 1.63062i | ||||
\(656\) | −39.5443 | + | 31.0611i | −1.54394 | + | 1.21273i | ||||
\(657\) | −4.41720 | − | 7.65082i | −0.172331 | − | 0.298487i | ||||
\(658\) | −11.9963 | − | 17.4305i | −0.467665 | − | 0.679512i | ||||
\(659\) | −4.02347 | − | 11.0544i | −0.156732 | − | 0.430618i | 0.836328 | − | 0.548230i | \(-0.184698\pi\) |
−0.993060 | + | 0.117612i | \(0.962476\pi\) | |||||||
\(660\) | 1.20635 | + | 1.04592i | 0.0469571 | + | 0.0407123i | ||||
\(661\) | −8.33293 | − | 1.46932i | −0.324113 | − | 0.0571499i | 0.00922431 | − | 0.999957i | \(-0.497064\pi\) |
−0.333338 | + | 0.942808i | \(0.608175\pi\) | |||||||
\(662\) | 32.2558 | + | 32.7811i | 1.25366 | + | 1.27408i | ||||
\(663\) | −7.38496 | + | 6.19672i | −0.286808 | + | 0.240660i | ||||
\(664\) | −1.47271 | − | 6.08205i | −0.0571521 | − | 0.236029i | ||||
\(665\) | 49.7477 | − | 60.7098i | 1.92913 | − | 2.35423i | ||||
\(666\) | −3.67157 | − | 1.74832i | −0.142270 | − | 0.0677462i | ||||
\(667\) | −9.32693 | − | 11.1154i | −0.361140 | − | 0.430390i | ||||
\(668\) | −9.39231 | − | 27.1626i | −0.363399 | − | 1.05095i | ||||
\(669\) | 13.9246 | + | 2.45528i | 0.538355 | + | 0.0949265i | ||||
\(670\) | 47.2201 | + | 13.0623i | 1.82427 | + | 0.504640i | ||||
\(671\) | −1.44568 | + | 0.526185i | −0.0558100 | + | 0.0203132i | ||||
\(672\) | 10.4926 | + | 25.1006i | 0.404761 | + | 0.968275i | ||||
\(673\) | −20.0057 | − | 34.6509i | −0.771164 | − | 1.33569i | −0.936926 | − | 0.349529i | \(-0.886342\pi\) |
0.165762 | − | 0.986166i | \(-0.446992\pi\) | |||||||
\(674\) | −15.1812 | + | 6.93037i | −0.584757 | + | 0.266948i | ||||
\(675\) | 5.79703 | − | 6.90863i | 0.223128 | − | 0.265913i | ||||
\(676\) | −7.25223 | + | 18.9663i | −0.278932 | + | 0.729473i | ||||
\(677\) | −18.4539 | − | 10.6543i | −0.709239 | − | 0.409480i | 0.101540 | − | 0.994831i | \(-0.467623\pi\) |
−0.810779 | + | 0.585352i | \(0.800956\pi\) | |||||||
\(678\) | 4.58258 | + | 0.438249i | 0.175993 | + | 0.0168309i | ||||
\(679\) | 2.80131 | + | 15.8870i | 0.107505 | + | 0.609689i | ||||
\(680\) | −60.3832 | + | 3.81128i | −2.31559 | + | 0.146156i | ||||
\(681\) | 1.31420 | + | 0.478331i | 0.0503603 | + | 0.0183297i | ||||
\(682\) | −1.58702 | + | 0.411531i | −0.0607702 | + | 0.0157583i | ||||
\(683\) | 15.9773i | 0.611354i | 0.952135 | + | 0.305677i | \(0.0988828\pi\) | ||||
−0.952135 | + | 0.305677i | \(0.901117\pi\) | |||||||
\(684\) | −7.53013 | − | 4.39285i | −0.287922 | − | 0.167965i | ||||
\(685\) | − | 34.5790i | − | 1.32120i | ||||||
\(686\) | −15.5852 | − | 60.1026i | −0.595047 | − | 2.29473i | ||||
\(687\) | 23.7832 | + | 8.65638i | 0.907386 | + | 0.330261i | ||||
\(688\) | 0.549888 | − | 1.37126i | 0.0209643 | − | 0.0522790i | ||||
\(689\) | 1.86455 | + | 10.5744i | 0.0710336 | + | 0.402851i | ||||
\(690\) | 0.818563 | − | 8.55935i | 0.0311622 | − | 0.325849i | ||||
\(691\) | −10.0619 | − | 5.80926i | −0.382774 | − | 0.220995i | 0.296251 | − | 0.955110i | \(-0.404264\pi\) |
−0.679024 | + | 0.734116i | \(0.737597\pi\) | |||||||
\(692\) | 11.2538 | + | 4.30318i | 0.427806 | + | 0.163582i | ||||
\(693\) | −0.659127 | + | 0.785517i | −0.0250382 | + | 0.0298393i | ||||
\(694\) | −6.38042 | − | 13.9765i | −0.242197 | − | 0.530540i | ||||
\(695\) | −0.0249048 | − | 0.0431364i | −0.000944693 | − | 0.00163626i | ||||
\(696\) | 7.13085 | − | 24.2467i | 0.270294 | − | 0.919068i | ||||
\(697\) | 67.4907 | − | 24.5646i | 2.55639 | − | 0.930450i | ||||
\(698\) | 4.30327 | − | 15.5563i | 0.162881 | − | 0.588815i | ||||
\(699\) | 24.8486 | + | 4.38147i | 0.939860 | + | 0.165723i | ||||
\(700\) | 28.3481 | + | 81.9829i | 1.07146 | + | 3.09866i | ||||
\(701\) | 0.658965 | + | 0.785324i | 0.0248888 | + | 0.0296613i | 0.778345 | − | 0.627836i | \(-0.216059\pi\) |
−0.753456 | + | 0.657498i | \(0.771615\pi\) | |||||||
\(702\) | 1.02593 | − | 2.15451i | 0.0387213 | − | 0.0813168i | ||||
\(703\) | −4.14936 | + | 11.8273i | −0.156496 | + | 0.446075i | ||||
\(704\) | 0.780303 | + | 1.51679i | 0.0294088 | + | 0.0571663i | ||||
\(705\) | −8.92322 | + | 7.48747i | −0.336068 | + | 0.281994i | ||||
\(706\) | 0.955755 | − | 0.940438i | 0.0359703 | − | 0.0353939i | ||||
\(707\) | 6.98592 | + | 1.23181i | 0.262733 | + | 0.0463269i | ||||
\(708\) | −2.46877 | + | 2.84745i | −0.0927820 | + | 0.107014i | ||||
\(709\) | −14.0727 | − | 38.6644i | −0.528511 | − | 1.45207i | −0.860824 | − | 0.508903i | \(-0.830051\pi\) |
0.332313 | − | 0.943169i | \(-0.392171\pi\) | |||||||
\(710\) | 20.6774 | − | 14.2309i | 0.776007 | − | 0.534077i | ||||
\(711\) | 3.90113 | + | 6.75696i | 0.146304 | + | 0.253406i | ||||
\(712\) | −32.3895 | − | 16.0701i | −1.21385 | − | 0.602253i | ||||
\(713\) | 6.76366 | + | 5.67539i | 0.253301 | + | 0.212545i | ||||
\(714\) | −3.07390 | − | 38.7360i | −0.115038 | − | 1.44966i | ||||
\(715\) | 1.16658 | + | 0.673527i | 0.0436278 | + | 0.0251885i | ||||
\(716\) | 15.8718 | − | 26.4929i | 0.593156 | − | 0.990087i | ||||
\(717\) | 12.7319 | − | 2.24498i | 0.475482 | − | 0.0838403i | ||||
\(718\) | −21.7107 | − | 15.4648i | −0.810236 | − | 0.577142i | ||||
\(719\) | −22.1032 | − | 8.04491i | −0.824311 | − | 0.300025i | −0.104789 | − | 0.994494i | \(-0.533417\pi\) |
−0.719522 | + | 0.694470i | \(0.755639\pi\) | |||||||
\(720\) | 13.2052 | − | 7.06539i | 0.492129 | − | 0.263312i | ||||
\(721\) | −35.0526 | −1.30543 | ||||||||
\(722\) | −10.9836 | + | 24.5226i | −0.408769 | + | 0.912638i | ||||
\(723\) | 6.37117i | 0.236946i | ||||||||
\(724\) | 4.55310 | − | 23.5872i | 0.169215 | − | 0.876610i | ||||
\(725\) | 27.5620 | − | 75.7259i | 1.02363 | − | 2.81239i | ||||
\(726\) | 8.98809 | − | 12.6182i | 0.333579 | − | 0.468304i | ||||
\(727\) | −7.71733 | − | 43.7672i | −0.286220 | − | 1.62323i | −0.700895 | − | 0.713265i | \(-0.747216\pi\) |
0.414675 | − | 0.909970i | \(-0.363895\pi\) | |||||||
\(728\) | 12.7058 | + | 19.1153i | 0.470907 | + | 0.708461i | ||||
\(729\) | 0.500000 | − | 0.866025i | 0.0185185 | − | 0.0320750i | ||||
\(730\) | −3.70046 | − | 46.6317i | −0.136960 | − | 1.72592i | ||||
\(731\) | −1.35641 | + | 1.61651i | −0.0501687 | + | 0.0597887i | ||||
\(732\) | −0.233117 | + | 14.4291i | −0.00861624 | + | 0.533314i | ||||
\(733\) | 34.0017 | − | 19.6309i | 1.25588 | − | 0.725083i | 0.283609 | − | 0.958940i | \(-0.408468\pi\) |
0.972271 | + | 0.233857i | \(0.0751348\pi\) | |||||||
\(734\) | −26.8317 | − | 38.9861i | −0.990376 | − | 1.43900i | ||||
\(735\) | −56.7478 | + | 20.6545i | −2.09317 | + | 0.761853i | ||||
\(736\) | 4.21514 | − | 8.16180i | 0.155372 | − | 0.300848i | ||||
\(737\) | −0.342581 | + | 1.94287i | −0.0126191 | + | 0.0715666i | ||||
\(738\) | −12.6723 | + | 12.4692i | −0.466473 | + | 0.458998i | ||||
\(739\) | 29.3542 | + | 34.9830i | 1.07981 | + | 1.28687i | 0.955617 | + | 0.294611i | \(0.0951900\pi\) |
0.124194 | + | 0.992258i | \(0.460366\pi\) | |||||||
\(740\) | −13.5726 | − | 16.7164i | −0.498939 | − | 0.614505i | ||||
\(741\) | −6.94037 | − | 2.43489i | −0.254961 | − | 0.0894477i | ||||
\(742\) | −39.0759 | − | 18.6071i | −1.43452 | − | 0.683089i | ||||
\(743\) | −20.3556 | + | 17.0804i | −0.746776 | + | 0.626620i | −0.934648 | − | 0.355574i | \(-0.884285\pi\) |
0.187872 | + | 0.982194i | \(0.439841\pi\) | |||||||
\(744\) | −1.71116 | + | 15.2833i | −0.0627342 | + | 0.560313i | ||||
\(745\) | −11.3570 | + | 64.4087i | −0.416088 | + | 2.35975i | ||||
\(746\) | −3.17050 | + | 11.4614i | −0.116080 | + | 0.419630i | ||||
\(747\) | −0.756709 | − | 2.07904i | −0.0276865 | − | 0.0760682i | ||||
\(748\) | −0.384249 | − | 2.40583i | −0.0140495 | − | 0.0879658i | ||||
\(749\) | −25.7799 | + | 14.8840i | −0.941977 | + | 0.543851i | ||||
\(750\) | 19.3568 | − | 8.83659i | 0.706811 | − | 0.322667i | ||||
\(751\) | 31.6738 | + | 26.5775i | 1.15579 | + | 0.969826i | 0.999839 | − | 0.0179384i | \(-0.00571028\pi\) |
0.155954 | + | 0.987764i | \(0.450155\pi\) | |||||||
\(752\) | −11.8253 | + | 3.87627i | −0.431226 | + | 0.141353i | ||||
\(753\) | −2.03099 | + | 3.51777i | −0.0740132 | + | 0.128195i | ||||
\(754\) | 2.02993 | − | 21.2261i | 0.0739257 | − | 0.773009i | ||||
\(755\) | 41.8238 | − | 7.37466i | 1.52212 | − | 0.268391i | ||||
\(756\) | 4.67409 | + | 8.40651i | 0.169995 | + | 0.305742i | ||||
\(757\) | 0.0886349 | − | 0.243522i | 0.00322149 | − | 0.00885097i | −0.938071 | − | 0.346442i | \(-0.887390\pi\) |
0.941293 | + | 0.337591i | \(0.109612\pi\) | |||||||
\(758\) | −3.44625 | + | 0.893648i | −0.125173 | + | 0.0324588i | ||||
\(759\) | 0.346236 | 0.0125676 | ||||||||
\(760\) | −25.9990 | − | 38.1428i | −0.943084 | − | 1.38359i | ||||
\(761\) | −2.60493 | −0.0944287 | −0.0472143 | − | 0.998885i | \(-0.515034\pi\) | ||||
−0.0472143 | + | 0.998885i | \(0.515034\pi\) | |||||||
\(762\) | −4.61588 | + | 1.19694i | −0.167216 | + | 0.0433607i | ||||
\(763\) | 17.7714 | − | 48.8265i | 0.643368 | − | 1.76764i | ||||
\(764\) | −29.4862 | + | 16.3946i | −1.06677 | + | 0.593134i | ||||
\(765\) | −21.0662 | + | 3.71454i | −0.761650 | + | 0.134299i | ||||
\(766\) | −0.390852 | + | 4.08697i | −0.0141220 | + | 0.147668i | ||||
\(767\) | −1.58978 | + | 2.75359i | −0.0574038 | + | 0.0994263i | ||||
\(768\) | 15.9034 | − | 1.75509i | 0.573866 | − | 0.0633314i | ||||
\(769\) | −26.1478 | − | 21.9406i | −0.942913 | − | 0.791198i | 0.0351765 | − | 0.999381i | \(-0.488801\pi\) |
−0.978090 | + | 0.208183i | \(0.933245\pi\) | |||||||
\(770\) | −4.93927 | + | 2.25483i | −0.177999 | + | 0.0812584i | ||||
\(771\) | −4.28368 | + | 2.47319i | −0.154273 | + | 0.0890696i | ||||
\(772\) | 0.460848 | − | 0.0736048i | 0.0165863 | − | 0.00264909i | ||||
\(773\) | 0.209546 | + | 0.575724i | 0.00753685 | + | 0.0207073i | 0.943404 | − | 0.331646i | \(-0.107604\pi\) |
−0.935867 | + | 0.352353i | \(0.885382\pi\) | |||||||
\(774\) | 0.139263 | − | 0.503437i | 0.00500572 | − | 0.0180957i | ||||
\(775\) | −8.51502 | + | 48.2911i | −0.305868 | + | 1.73467i | ||||
\(776\) | 9.42870 | + | 1.05566i | 0.338471 | + | 0.0378961i | ||||
\(777\) | 10.5937 | − | 8.88918i | 0.380047 | − | 0.318897i | ||||
\(778\) | −1.64430 | − | 0.782982i | −0.0589511 | − | 0.0280713i | ||||
\(779\) | 42.3840 | + | 34.7309i | 1.51857 | + | 1.24437i | ||||
\(780\) | 9.80931 | − | 7.96454i | 0.351230 | − | 0.285176i | ||||
\(781\) | 0.649707 | + | 0.774291i | 0.0232483 | + | 0.0277063i | ||||
\(782\) | −9.35219 | + | 9.20232i | −0.334434 | + | 0.329074i | ||||
\(783\) | 1.55164 | − | 8.79979i | 0.0554511 | − | 0.314479i | ||||
\(784\) | −64.4829 | − | 2.08412i | −2.30296 | − | 0.0744329i | ||||
\(785\) | −41.6663 | + | 15.1653i | −1.48713 | + | 0.541272i | ||||
\(786\) | −13.9030 | − | 20.2009i | −0.495903 | − | 0.720541i | ||||
\(787\) | −35.6128 | + | 20.5611i | −1.26946 | + | 0.732923i | −0.974886 | − | 0.222705i | \(-0.928511\pi\) |
−0.294574 | + | 0.955629i | \(0.595178\pi\) | |||||||
\(788\) | 25.1169 | + | 0.405790i | 0.894754 | + | 0.0144557i | ||||
\(789\) | 8.11132 | − | 9.66670i | 0.288771 | − | 0.344144i | ||||
\(790\) | 3.26813 | + | 41.1836i | 0.116275 | + | 1.46525i | ||||
\(791\) | −7.82748 | + | 13.5576i | −0.278313 | + | 0.482052i | ||||
\(792\) | 0.333835 | + | 0.502241i | 0.0118623 | + | 0.0178464i | ||||
\(793\) | 2.11420 | + | 11.9902i | 0.0750776 | + | 0.425786i | ||||
\(794\) | 24.1792 | − | 33.9446i | 0.858089 | − | 1.20465i | ||||
\(795\) | −8.14883 | + | 22.3887i | −0.289009 | + | 0.794046i | ||||
\(796\) | −39.8864 | − | 7.69938i | −1.41374 | − | 0.272897i | ||||
\(797\) | 25.4418i | 0.901195i | 0.892727 | + | 0.450597i | \(0.148789\pi\) | ||||
−0.892727 | + | 0.450597i | \(0.851211\pi\) | |||||||
\(798\) | 24.2239 | − | 17.0912i | 0.857518 | − | 0.605021i | ||||
\(799\) | 17.7745 | 0.628818 | ||||||||
\(800\) | 50.9607 | − | 2.39078i | 1.80173 | − | 0.0845270i | ||||
\(801\) | −12.0125 | − | 4.37219i | −0.424440 | − | 0.154484i | ||||
\(802\) | 27.7784 | + | 19.7869i | 0.980888 | + | 0.698700i | ||||
\(803\) | 1.85503 | − | 0.327092i | 0.0654625 | − | 0.0115428i | ||||
\(804\) | 15.8747 | + | 9.51043i | 0.559857 | + | 0.335407i | ||||
\(805\) | 25.3229 | + | 14.6202i | 0.892514 | + | 0.515293i | ||||
\(806\) | 1.02640 | + | 12.9342i | 0.0361533 | + | 0.455589i | ||||
\(807\) | −3.21314 | − | 2.69614i | −0.113108 | − | 0.0949087i | ||||
\(808\) | 1.85423 | − | 3.73723i | 0.0652317 | − | 0.131475i | ||||
\(809\) | 20.6812 | + | 35.8209i | 0.727113 | + | 1.25940i | 0.958098 | + | 0.286439i | \(0.0924716\pi\) |
−0.230986 | + | 0.972957i | \(0.574195\pi\) | |||||||
\(810\) | 4.36181 | − | 3.00196i | 0.153258 | − | 0.105478i | ||||
\(811\) | 7.98865 | + | 21.9486i | 0.280520 | + | 0.770721i | 0.997301 | + | 0.0734231i | \(0.0233924\pi\) |
−0.716781 | + | 0.697298i | \(0.754385\pi\) | |||||||
\(812\) | 64.9381 | + | 56.3020i | 2.27888 | + | 1.97581i | ||||
\(813\) | 5.92041 | + | 1.04393i | 0.207638 | + | 0.0366121i | ||||
\(814\) | 0.618039 | − | 0.608135i | 0.0216623 | − | 0.0213151i | ||||
\(815\) | −0.117409 | + | 0.0985181i | −0.00411267 | + | 0.00345094i | ||||
\(816\) | −22.3658 | − | 4.69332i | −0.782961 | − | 0.164299i | ||||
\(817\) | −1.58866 | − | 0.261075i | −0.0555803 | − | 0.00913386i | ||||
\(818\) | 3.51636 | − | 7.38453i | 0.122947 | − | 0.258194i | ||||
\(819\) | 5.21625 | + | 6.21649i | 0.182271 | + | 0.217222i | ||||
\(820\) | −88.9678 | + | 30.7634i | −3.10689 | + | 1.07430i | ||||
\(821\) | 49.3787 | + | 8.70680i | 1.72333 | + | 0.303870i | 0.945745 | − | 0.324909i | \(-0.105334\pi\) |
0.777584 | + | 0.628778i | \(0.216445\pi\) | |||||||
\(822\) | 3.48222 | − | 12.5882i | 0.121456 | − | 0.439065i | ||||
\(823\) | 15.0007 | − | 5.45983i | 0.522893 | − | 0.190318i | −0.0670691 | − | 0.997748i | \(-0.521365\pi\) |
0.589962 | + | 0.807431i | \(0.299143\pi\) | |||||||
\(824\) | −5.81649 | + | 19.7775i | −0.202627 | + | 0.688983i | ||||
\(825\) | 0.961457 | + | 1.66529i | 0.0334736 | + | 0.0579781i | ||||
\(826\) | −5.32227 | − | 11.6586i | −0.185185 | − | 0.405654i | ||||
\(827\) | −3.04749 | + | 3.63186i | −0.105972 | + | 0.126292i | −0.816423 | − | 0.577454i | \(-0.804046\pi\) |
0.710452 | + | 0.703746i | \(0.248491\pi\) | |||||||
\(828\) | 1.15995 | − | 3.03353i | 0.0403109 | − | 0.105423i | ||||
\(829\) | −23.0798 | − | 13.3251i | −0.801594 | − | 0.462801i | 0.0424339 | − | 0.999099i | \(-0.486489\pi\) |
−0.844028 | + | 0.536298i | \(0.819822\pi\) | |||||||
\(830\) | 1.11527 | − | 11.6618i | 0.0387115 | − | 0.404789i | ||||
\(831\) | −1.04940 | − | 5.95144i | −0.0364032 | − | 0.206453i | ||||
\(832\) | 12.8937 | − | 3.99699i | 0.447008 | − | 0.138571i | ||||
\(833\) | 86.5924 | + | 31.5171i | 3.00025 | + | 1.09200i | ||||
\(834\) | −0.00472242 | − | 0.0182115i | −0.000163524 | − | 0.000630611i | ||||
\(835\) | − | 53.8044i | − | 1.86198i | ||||||
\(836\) | 1.42928 | − | 1.18838i | 0.0494325 | − | 0.0411010i | ||||
\(837\) | 5.43722i | 0.187938i | ||||||||
\(838\) | 53.3945 | − | 13.8457i | 1.84448 | − | 0.478293i | ||||
\(839\) | −0.809720 | − | 0.294714i | −0.0279546 | − | 0.0101747i | 0.328005 | − | 0.944676i | \(-0.393624\pi\) |
−0.355960 | + | 0.934501i | \(0.615846\pi\) | |||||||
\(840\) | 3.20824 | + | 50.8292i | 0.110695 | + | 1.75377i | ||||
\(841\) | −8.82893 | − | 50.0714i | −0.304446 | − | 1.72660i | ||||
\(842\) | −24.2898 | − | 2.32292i | −0.837081 | − | 0.0800532i | ||||
\(843\) | 8.58874 | + | 4.95871i | 0.295812 | + | 0.170787i | ||||
\(844\) | −39.8667 | − | 15.2440i | −1.37227 | − | 0.524721i | ||||
\(845\) | −24.4345 | + | 29.1199i | −0.840573 | + | 1.00176i | ||||
\(846\) | −4.00244 | + | 1.82716i | −0.137607 | + | 0.0628189i | ||||
\(847\) | 26.3417 | + | 45.6252i | 0.905112 | + | 1.56770i | ||||
\(848\) | −16.9827 | + | 18.9600i | −0.583188 | + | 0.651089i | ||||
\(849\) | −13.4256 | + | 4.88653i | −0.460766 | + | 0.167705i | ||||
\(850\) | −70.2303 | − | 19.4275i | −2.40888 | − | 0.666357i | ||||
\(851\) | −4.59850 | − | 0.810840i | −0.157635 | − | 0.0277953i | ||||
\(852\) | 8.96053 | − | 3.09838i | 0.306983 | − | 0.106149i | ||||
\(853\) | −17.8717 | − | 21.2986i | −0.611914 | − | 0.729250i | 0.367744 | − | 0.929927i | \(-0.380130\pi\) |
−0.979658 | + | 0.200677i | \(0.935686\pi\) | |||||||
\(854\) | −44.3080 | − | 21.0985i | −1.51619 | − | 0.721977i | ||||
\(855\) | −10.6355 | − | 12.3790i | −0.363725 | − | 0.423353i | ||||
\(856\) | 4.12012 | + | 17.0155i | 0.140823 | + | 0.581576i | ||||
\(857\) | 24.4776 | − | 20.5392i | 0.836140 | − | 0.701604i | −0.120552 | − | 0.992707i | \(-0.538467\pi\) |
0.956692 | + | 0.291103i | \(0.0940221\pi\) | |||||||
\(858\) | 0.356859 | + | 0.362671i | 0.0121830 | + | 0.0123814i | ||||
\(859\) | 33.3670 | + | 5.88350i | 1.13847 | + | 0.200743i | 0.710935 | − | 0.703258i | \(-0.248272\pi\) |
0.427532 | + | 0.904000i | \(0.359383\pi\) | |||||||
\(860\) | 1.81183 | − | 2.08974i | 0.0617828 | − | 0.0712597i | ||||
\(861\) | −20.6779 | − | 56.8121i | −0.704701 | − | 1.93615i | ||||
\(862\) | 1.03321 | + | 1.50124i | 0.0351913 | + | 0.0511325i | ||||
\(863\) | 15.4871 | + | 26.8244i | 0.527186 | + | 0.913114i | 0.999498 | + | 0.0316820i | \(0.0100864\pi\) |
−0.472312 | + | 0.881432i | \(0.656580\pi\) | |||||||
\(864\) | 5.51876 | − | 1.24229i | 0.187752 | − | 0.0422636i | ||||
\(865\) | 17.2786 | + | 14.4985i | 0.587489 | + | 0.492962i | ||||
\(866\) | 46.8776 | − | 3.71998i | 1.59297 | − | 0.126410i | ||||
\(867\) | 13.5456 | + | 7.82057i | 0.460034 | + | 0.265601i | ||||
\(868\) | −44.8633 | − | 26.8773i | −1.52276 | − | 0.912276i | ||||
\(869\) | −1.63830 | + | 0.288877i | −0.0555756 | + | 0.00979948i | ||||
\(870\) | 27.4502 | − | 38.5367i | 0.930650 | − | 1.30652i | ||||
\(871\) | 14.6713 | + | 5.33991i | 0.497118 | + | 0.180936i | ||||
\(872\) | −24.6002 | − | 18.1291i | −0.833068 | − | 0.613930i | ||||
\(873\) | 3.35438 | 0.113528 | ||||||||
\(874\) | −9.67831 | − | 2.55625i | −0.327374 | − | 0.0864663i | ||||
\(875\) | 72.3610i | 2.44625i | ||||||||
\(876\) | 3.34884 | − | 17.3485i | 0.113147 | − | 0.586153i | ||||
\(877\) | −5.13151 | + | 14.0987i | −0.173279 | + | 0.476080i | −0.995682 | − | 0.0928246i | \(-0.970410\pi\) |
0.822404 | + | 0.568905i | \(0.192633\pi\) | |||||||
\(878\) | −24.0893 | − | 17.1592i | −0.812975 | − | 0.579093i | ||||
\(879\) | −3.46716 | − | 19.6633i | −0.116945 | − | 0.663226i | ||||
\(880\) | 0.452627 | + | 3.16102i | 0.0152581 | + | 0.106558i | ||||
\(881\) | −17.9896 | + | 31.1589i | −0.606085 | + | 1.04977i | 0.385794 | + | 0.922585i | \(0.373928\pi\) |
−0.991879 | + | 0.127185i | \(0.959406\pi\) | |||||||
\(882\) | −22.7386 | + | 1.80442i | −0.765647 | + | 0.0607580i | ||||
\(883\) | 16.0566 | − | 19.1356i | 0.540349 | − | 0.643963i | −0.424917 | − | 0.905232i | \(-0.639697\pi\) |
0.965266 | + | 0.261270i | \(0.0841411\pi\) | |||||||
\(884\) | −19.2782 | − | 0.311460i | −0.648397 | − | 0.0104755i | ||||
\(885\) | −6.10998 | + | 3.52760i | −0.205385 | + | 0.118579i | ||||
\(886\) | −12.5839 | + | 8.66071i | −0.422764 | + | 0.290962i | ||||
\(887\) | −48.6427 | + | 17.7045i | −1.63326 | + | 0.594459i | −0.985842 | − | 0.167674i | \(-0.946374\pi\) |
−0.647420 | + | 0.762133i | \(0.724152\pi\) | |||||||
\(888\) | −3.25761 | − | 7.45226i | −0.109318 | − | 0.250082i | ||||
\(889\) | 2.81592 | − | 15.9699i | 0.0944430 | − | 0.535613i | ||||
\(890\) | −47.4748 | − | 48.2480i | −1.59136 | − | 1.61728i | ||||
\(891\) | 0.137053 | + | 0.163334i | 0.00459146 | + | 0.00547189i | ||||
\(892\) | 17.8249 | + | 21.9536i | 0.596823 | + | 0.735061i | ||||
\(893\) | 6.91689 | + | 11.6644i | 0.231465 | + | 0.390334i | ||||
\(894\) | −10.6206 | + | 22.3038i | −0.355206 | + | 0.745951i | ||||
\(895\) | 44.2896 | − | 37.1634i | 1.48044 | − | 1.24224i | ||||
\(896\) | −17.0301 | + | 51.6769i | −0.568935 | + | 1.72641i | ||||
\(897\) | 0.475809 | − | 2.69845i | 0.0158868 | − | 0.0900985i | ||||
\(898\) | 29.9052 | + | 8.27255i | 0.997951 | + | 0.276059i | ||||
\(899\) | 16.6169 | + | 45.6545i | 0.554204 | + | 1.52266i | ||||
\(900\) | 17.8114 | − | 2.84477i | 0.593714 | − | 0.0948256i | ||||
\(901\) | 31.4851 | − | 18.1779i | 1.04892 | − | 0.605595i | ||||
\(902\) | −1.57419 | − | 3.44831i | −0.0524148 | − | 0.114816i | ||||
\(903\) | 1.36074 | + | 1.14180i | 0.0452826 | + | 0.0379966i | ||||
\(904\) | 6.35066 | + | 6.66615i | 0.211220 | + | 0.221713i | ||||
\(905\) | 22.4860 | − | 38.9469i | 0.747460 | − | 1.29464i | ||||
\(906\) | 15.9683 | + | 1.52711i | 0.530510 | + | 0.0507347i | ||||
\(907\) | −32.6730 | + | 5.76112i | −1.08489 | + | 0.191295i | −0.687376 | − | 0.726302i | \(-0.741237\pi\) |
−0.397512 | + | 0.917597i | \(0.630126\pi\) | |||||||
\(908\) | 1.35923 | + | 2.44463i | 0.0451077 | + | 0.0811278i | ||||
\(909\) | 0.504480 | − | 1.38605i | 0.0167326 | − | 0.0459723i | ||||
\(910\) | 10.7857 | + | 41.5936i | 0.357541 | + | 1.37881i | ||||
\(911\) | 4.15323 | 0.137603 | 0.0688014 | − | 0.997630i | \(-0.478083\pi\) | ||||
0.0688014 | + | 0.997630i | \(0.478083\pi\) | |||||||
\(912\) | −5.62363 | − | 16.5038i | −0.186217 | − | 0.546495i | ||||
\(913\) | 0.471736 | 0.0156122 | ||||||||
\(914\) | −2.31824 | − | 8.94001i | −0.0766805 | − | 0.295709i | ||||
\(915\) | −9.23993 | + | 25.3865i | −0.305463 | + | 0.839252i | ||||
\(916\) | 24.5981 | + | 44.2406i | 0.812745 | + | 1.46175i | ||||
\(917\) | 82.1270 | − | 14.4812i | 2.71207 | − | 0.478212i | ||||
\(918\) | −8.04305 | − | 0.769187i | −0.265460 | − | 0.0253870i | ||||
\(919\) | −15.2776 | + | 26.4616i | −0.503961 | + | 0.872887i | 0.496028 | + | 0.868306i | \(0.334791\pi\) |
−0.999990 | + | 0.00458028i | \(0.998542\pi\) | |||||||
\(920\) | 12.4510 | − | 11.8618i | 0.410499 | − | 0.391071i | ||||
\(921\) | 12.0724 | + | 10.1299i | 0.397799 | + | 0.333793i | ||||
\(922\) | −13.0431 | − | 28.5714i | −0.429553 | − | 0.940949i | ||||
\(923\) | 6.92740 | − | 3.99954i | 0.228018 | − | 0.131646i | ||||
\(924\) | −2.02517 | + | 0.323452i | −0.0666233 | + | 0.0106408i | ||||
\(925\) | −8.86960 | − | 24.3690i | −0.291631 | − | 0.801249i | ||||
\(926\) | −21.2002 | − | 5.86451i | −0.696681 | − | 0.192720i | ||||
\(927\) | −1.26564 | + | 7.17781i | −0.0415691 | + | 0.235750i | ||||
\(928\) | 42.5425 | − | 27.2972i | 1.39653 | − | 0.896073i | ||||
\(929\) | 13.2228 | − | 11.0952i | 0.433825 | − | 0.364023i | −0.399568 | − | 0.916704i | \(-0.630840\pi\) |
0.833393 | + | 0.552681i | \(0.186395\pi\) | |||||||
\(930\) | −12.3776 | + | 25.9936i | −0.405878 | + | 0.852365i | ||||
\(931\) | 13.0143 | + | 69.0902i | 0.426527 | + | 2.26434i | ||||
\(932\) | 31.8088 | + | 39.1765i | 1.04193 | + | 1.28327i | ||||
\(933\) | 19.3001 | + | 23.0010i | 0.631858 | + | 0.753019i | ||||
\(934\) | 12.5944 | + | 12.7995i | 0.412100 | + | 0.418812i | ||||
\(935\) | 0.792003 | − | 4.49167i | 0.0259013 | − | 0.146893i | ||||
\(936\) | 4.37306 | − | 1.91160i | 0.142938 | − | 0.0624825i | ||||
\(937\) | −33.9049 | + | 12.3404i | −1.10762 | + | 0.403142i | −0.830121 | − | 0.557583i | \(-0.811729\pi\) |
−0.277502 | + | 0.960725i | \(0.589507\pi\) | |||||||
\(938\) | −51.8401 | + | 35.6783i | −1.69264 | + | 1.16494i | ||||
\(939\) | −4.26336 | + | 2.46145i | −0.139130 | + | 0.0803265i | ||||
\(940\) | −23.2938 | − | 0.376336i | −0.759761 | − | 0.0122747i | ||||
\(941\) | −7.97582 | + | 9.50521i | −0.260004 | + | 0.309861i | −0.880216 | − | 0.474574i | \(-0.842602\pi\) |
0.620212 | + | 0.784435i | \(0.287047\pi\) | |||||||
\(942\) | −16.6955 | + | 1.32487i | −0.543968 | + | 0.0431666i | ||||
\(943\) | −10.2070 | + | 17.6790i | −0.332384 | + | 0.575706i | ||||
\(944\) | −7.46122 | + | 1.06837i | −0.242842 | + | 0.0347726i | ||||
\(945\) | 3.12681 | + | 17.7330i | 0.101715 | + | 0.576856i | ||||
\(946\) | 0.0907121 | + | 0.0646155i | 0.00294931 | + | 0.00210083i | ||||
\(947\) | −2.25764 | + | 6.20281i | −0.0733634 | + | 0.201564i | −0.970954 | − | 0.239265i | \(-0.923093\pi\) |
0.897591 | + | 0.440830i | \(0.145316\pi\) | |||||||
\(948\) | −2.95759 | + | 15.3217i | −0.0960581 | + | 0.497625i | ||||
\(949\) | − | 14.9069i | − | 0.483900i | ||||||
\(950\) | −14.5807 | − | 53.6481i | −0.473062 | − | 1.74058i | ||||
\(951\) | 8.08899 | 0.262303 | ||||||||
\(952\) | 46.1051 | − | 62.5620i | 1.49428 | − | 2.02765i | ||||
\(953\) | −8.95600 | − | 3.25972i | −0.290113 | − | 0.105593i | 0.192864 | − | 0.981226i | \(-0.438222\pi\) |
−0.482977 | + | 0.875633i | \(0.660445\pi\) | |||||||
\(954\) | −5.22114 | + | 7.32983i | −0.169041 | + | 0.237312i | ||||
\(955\) | −62.1994 | + | 10.9674i | −2.01272 | + | 0.354898i | ||||
\(956\) | 22.1807 | + | 13.2884i | 0.717376 | + | 0.429776i | ||||
\(957\) | 1.64996 | + | 0.952604i | 0.0533356 | + | 0.0307933i | ||||
\(958\) | 34.6386 | − | 2.74875i | 1.11912 | − | 0.0888080i | ||||
\(959\) | 34.0247 | + | 28.5501i | 1.09872 | + | 0.921932i | ||||
\(960\) | 29.2114 | + | 6.62423i | 0.942795 | + | 0.213796i | ||||
\(961\) | 0.718300 | + | 1.24413i | 0.0231710 | + | 0.0401333i | ||||
\(962\) | −3.89026 | − | 5.65250i | −0.125427 | − | 0.182244i | ||||
\(963\) | 2.11701 | + | 5.81643i | 0.0682197 | + | 0.187432i | ||||
\(964\) | −8.34723 | + | 9.62761i | −0.268846 | + | 0.310085i | ||||
\(965\) | 0.860401 | + | 0.151712i | 0.0276973 | + | 0.00488378i | ||||
\(966\) | 7.74630 | + | 7.87246i | 0.249233 | + | 0.253292i | ||||
\(967\) | 16.3106 | − | 13.6862i | 0.524514 | − | 0.440120i | −0.341688 | − | 0.939813i | \(-0.610999\pi\) |
0.866202 | + | 0.499694i | \(0.166554\pi\) | |||||||
\(968\) | 30.1139 | − | 7.29177i | 0.967897 | − | 0.234366i | ||||
\(969\) | 0.290179 | + | 24.9018i | 0.00932188 | + | 0.799960i | ||||
\(970\) | 16.0362 | + | 7.63610i | 0.514891 | + | 0.245180i | ||||
\(971\) | −35.0380 | − | 41.7567i | −1.12442 | − | 1.34004i | −0.933561 | − | 0.358419i | \(-0.883316\pi\) |
−0.190863 | − | 0.981617i | \(-0.561128\pi\) | |||||||
\(972\) | 1.89019 | − | 0.653592i | 0.0606279 | − | 0.0209640i | ||||
\(973\) | 0.0630075 | + | 0.0111099i | 0.00201993 | + | 0.000356168i | ||||
\(974\) | 8.54956 | + | 2.36503i | 0.273946 | + | 0.0757803i | ||||
\(975\) | 14.3000 | − | 5.20477i | 0.457966 | − | 0.166686i | ||||
\(976\) | −19.2566 | + | 21.4987i | −0.616389 | + | 0.688156i | ||||
\(977\) | −13.5336 | − | 23.4409i | −0.432979 | − | 0.749941i | 0.564149 | − | 0.825673i | \(-0.309204\pi\) |
−0.997128 | + | 0.0757313i | \(0.975871\pi\) | |||||||
\(978\) | −0.0526630 | + | 0.0240412i | −0.00168398 | + | 0.000768754i | ||||
\(979\) | 1.75201 | − | 2.08796i | 0.0559945 | − | 0.0667316i | ||||
\(980\) | −112.813 | − | 43.1370i | −3.60369 | − | 1.37796i | ||||
\(981\) | −9.35666 | − | 5.40207i | −0.298735 | − | 0.172475i | ||||
\(982\) | 13.7682 | + | 1.31671i | 0.439361 | + | 0.0420178i | ||||
\(983\) | −1.70862 | − | 9.69004i | −0.0544964 | − | 0.309064i | 0.945360 | − | 0.326029i | \(-0.105711\pi\) |
−0.999856 | + | 0.0169649i | \(0.994600\pi\) | |||||||
\(984\) | −35.4860 | + | 2.23981i | −1.13125 | + | 0.0714025i | ||||
\(985\) | 44.1907 | + | 16.0841i | 1.40803 | + | 0.512482i | ||||
\(986\) | −69.8855 | + | 18.1220i | −2.22561 | + | 0.577123i | ||||
\(987\) | − | 14.9622i | − | 0.476252i | ||||||
\(988\) | −7.29766 | − | 12.7724i | −0.232170 | − | 0.406344i | ||||
\(989\) | − | 0.599780i | − | 0.0190719i | ||||||
\(990\) | 0.283385 | + | 1.09284i | 0.00900658 | + | 0.0347328i | ||||
\(991\) | −48.4359 | − | 17.6292i | −1.53862 | − | 0.560011i | −0.572904 | − | 0.819623i | \(-0.694183\pi\) |
−0.965713 | + | 0.259612i | \(0.916405\pi\) | |||||||
\(992\) | −22.6093 | + | 20.8530i | −0.717846 | + | 0.662085i | ||||
\(993\) | 5.64696 | + | 32.0255i | 0.179201 | + | 1.01630i | ||||
\(994\) | −3.06943 | + | 32.0956i | −0.0973563 | + | 1.01801i | ||||
\(995\) | −65.8599 | − | 38.0243i | −2.08790 | − | 1.20545i | ||||
\(996\) | 1.58039 | − | 4.13309i | 0.0500766 | − | 0.130962i | ||||
\(997\) | 6.04997 | − | 7.21008i | 0.191605 | − | 0.228345i | −0.661686 | − | 0.749781i | \(-0.730159\pi\) |
0.853291 | + | 0.521436i | \(0.174603\pi\) | |||||||
\(998\) | 11.5047 | + | 25.2013i | 0.364173 | + | 0.797733i | ||||
\(999\) | −1.43775 | − | 2.49026i | −0.0454885 | − | 0.0787884i |
(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 | 456.2.bk.a.253.23 | yes | 240 | |
8.5 | even | 2 | inner | 456.2.bk.a.253.6 | ✓ | 240 | |
19.16 | even | 9 | inner | 456.2.bk.a.301.6 | yes | 240 | |
152.149 | even | 18 | inner | 456.2.bk.a.301.23 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
456.2.bk.a.253.6 | ✓ | 240 | 8.5 | even | 2 | inner | |
456.2.bk.a.253.23 | yes | 240 | 1.1 | even | 1 | trivial | |
456.2.bk.a.301.6 | yes | 240 | 19.16 | even | 9 | inner | |
456.2.bk.a.301.23 | yes | 240 | 152.149 | even | 18 | inner |