Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 517.82 | ||
Character | \(\chi\) | \(=\) | 576.517 |
Dual form | 576.2.bm.a.205.82 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{1}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28606 | − | 0.588269i | 0.909379 | − | 0.415969i | ||||
\(3\) | −0.509742 | + | 1.65534i | −0.294300 | + | 0.955713i | ||||
\(4\) | 1.30788 | − | 1.51309i | 0.653940 | − | 0.756546i | ||||
\(5\) | 0.263824 | − | 0.300834i | 0.117986 | − | 0.134537i | −0.689831 | − | 0.723970i | \(-0.742315\pi\) |
0.807817 | + | 0.589433i | \(0.200649\pi\) | |||||||
\(6\) | 0.318230 | + | 2.42873i | 0.129917 | + | 0.991525i | ||||
\(7\) | 2.25877 | − | 0.297372i | 0.853734 | − | 0.112396i | 0.309058 | − | 0.951043i | \(-0.399986\pi\) |
0.544676 | + | 0.838647i | \(0.316653\pi\) | |||||||
\(8\) | 0.791901 | − | 2.71531i | 0.279979 | − | 0.960006i | ||||
\(9\) | −2.48033 | − | 1.68760i | −0.826775 | − | 0.562533i | ||||
\(10\) | 0.162322 | − | 0.542089i | 0.0513306 | − | 0.171424i | ||||
\(11\) | 2.51402 | − | 5.09793i | 0.758006 | − | 1.53708i | −0.0832989 | − | 0.996525i | \(-0.526546\pi\) |
0.841305 | − | 0.540560i | \(-0.181788\pi\) | |||||||
\(12\) | 1.83801 | + | 2.93628i | 0.530587 | + | 0.847630i | ||||
\(13\) | −0.728628 | + | 2.14647i | −0.202085 | + | 0.595323i | −0.999972 | − | 0.00748389i | \(-0.997618\pi\) |
0.797887 | + | 0.602807i | \(0.205951\pi\) | |||||||
\(14\) | 2.72997 | − | 1.71120i | 0.729614 | − | 0.457337i | ||||
\(15\) | 0.363501 | + | 0.590068i | 0.0938557 | + | 0.152355i | ||||
\(16\) | −0.578901 | − | 3.95789i | −0.144725 | − | 0.989472i | ||||
\(17\) | 0.935965 | − | 0.935965i | 0.227005 | − | 0.227005i | −0.584435 | − | 0.811440i | \(-0.698684\pi\) |
0.811440 | + | 0.584435i | \(0.198684\pi\) | |||||||
\(18\) | −4.18260 | − | 0.711247i | −0.985848 | − | 0.167643i | ||||
\(19\) | 0.719896 | + | 3.61916i | 0.165155 | + | 0.830292i | 0.971168 | + | 0.238395i | \(0.0766211\pi\) |
−0.806013 | + | 0.591898i | \(0.798379\pi\) | |||||||
\(20\) | −0.110139 | − | 0.792646i | −0.0246279 | − | 0.177241i | ||||
\(21\) | −0.659136 | + | 3.89062i | −0.143835 | + | 0.849003i | ||||
\(22\) | 0.234219 | − | 8.03515i | 0.0499356 | − | 1.71310i | ||||
\(23\) | −0.735980 | + | 5.59033i | −0.153463 | + | 1.16566i | 0.725310 | + | 0.688422i | \(0.241696\pi\) |
−0.878772 | + | 0.477241i | \(0.841637\pi\) | |||||||
\(24\) | 4.09110 | + | 2.69498i | 0.835092 | + | 0.550110i | ||||
\(25\) | 0.631733 | + | 4.79849i | 0.126347 | + | 0.959698i | ||||
\(26\) | 0.325644 | + | 3.18911i | 0.0638640 | + | 0.625435i | ||||
\(27\) | 4.05788 | − | 3.24555i | 0.780940 | − | 0.624607i | ||||
\(28\) | 2.50424 | − | 3.80665i | 0.473258 | − | 0.719390i | ||||
\(29\) | 8.78625 | + | 0.575881i | 1.63156 | + | 0.106938i | 0.853447 | − | 0.521180i | \(-0.174508\pi\) |
0.778118 | + | 0.628118i | \(0.216175\pi\) | |||||||
\(30\) | 0.814602 | + | 0.545024i | 0.148725 | + | 0.0995073i | ||||
\(31\) | −3.85389 | − | 2.22504i | −0.692179 | − | 0.399630i | 0.112249 | − | 0.993680i | \(-0.464195\pi\) |
−0.804428 | + | 0.594050i | \(0.797528\pi\) | |||||||
\(32\) | −3.07280 | − | 4.74952i | −0.543199 | − | 0.839604i | ||||
\(33\) | 7.15733 | + | 6.76020i | 1.24593 | + | 1.17680i | ||||
\(34\) | 0.653104 | − | 1.75430i | 0.112006 | − | 0.300860i | ||||
\(35\) | 0.506459 | − | 0.757969i | 0.0856071 | − | 0.128120i | ||||
\(36\) | −5.79746 | + | 1.54579i | −0.966243 | + | 0.257631i | ||||
\(37\) | 0.930003 | − | 4.67544i | 0.152892 | − | 0.768638i | −0.825906 | − | 0.563808i | \(-0.809336\pi\) |
0.978798 | − | 0.204830i | \(-0.0656641\pi\) | |||||||
\(38\) | 3.05487 | + | 4.23095i | 0.495565 | + | 0.686351i | ||||
\(39\) | −3.18173 | − | 2.30027i | −0.509485 | − | 0.368339i | ||||
\(40\) | −0.607934 | − | 0.954596i | −0.0961228 | − | 0.150935i | ||||
\(41\) | −0.843054 | + | 6.40363i | −0.131663 | + | 1.00008i | 0.790278 | + | 0.612748i | \(0.209936\pi\) |
−0.921941 | + | 0.387330i | \(0.873397\pi\) | |||||||
\(42\) | 1.44104 | + | 5.39131i | 0.222358 | + | 0.831896i | ||||
\(43\) | −10.5314 | − | 5.19350i | −1.60602 | − | 0.792001i | −0.606024 | − | 0.795446i | \(-0.707237\pi\) |
−0.999994 | + | 0.00344539i | \(0.998903\pi\) | |||||||
\(44\) | −4.42561 | − | 10.4714i | −0.667186 | − | 1.57863i | ||||
\(45\) | −1.16206 | + | 0.300937i | −0.173229 | + | 0.0448611i | ||||
\(46\) | 2.34210 | + | 7.62243i | 0.345324 | + | 1.12387i | ||||
\(47\) | −6.67216 | − | 1.78780i | −0.973234 | − | 0.260777i | −0.263041 | − | 0.964785i | \(-0.584726\pi\) |
−0.710193 | + | 0.704007i | \(0.751392\pi\) | |||||||
\(48\) | 6.84675 | + | 1.05922i | 0.988244 | + | 0.152886i | ||||
\(49\) | −1.74788 | + | 0.468343i | −0.249697 | + | 0.0669061i | ||||
\(50\) | 3.63525 | + | 5.79950i | 0.514101 | + | 0.820173i | ||||
\(51\) | 1.07224 | + | 2.02644i | 0.150144 | + | 0.283759i | ||||
\(52\) | 2.29485 | + | 3.90980i | 0.318238 | + | 0.542192i | ||||
\(53\) | 0.873034 | + | 1.30659i | 0.119920 | + | 0.179474i | 0.886573 | − | 0.462588i | \(-0.153079\pi\) |
−0.766653 | + | 0.642062i | \(0.778079\pi\) | |||||||
\(54\) | 3.30941 | − | 6.56108i | 0.450353 | − | 0.892851i | ||||
\(55\) | −0.870372 | − | 2.10126i | −0.117361 | − | 0.283334i | ||||
\(56\) | 0.981264 | − | 6.36874i | 0.131127 | − | 0.851058i | ||||
\(57\) | −6.35792 | − | 0.653164i | −0.842127 | − | 0.0865137i | ||||
\(58\) | 11.6384 | − | 4.42806i | 1.52819 | − | 0.581433i | ||||
\(59\) | 2.57688 | − | 2.93836i | 0.335481 | − | 0.382542i | −0.559362 | − | 0.828923i | \(-0.688954\pi\) |
0.894843 | + | 0.446381i | \(0.147287\pi\) | |||||||
\(60\) | 1.36824 | + | 0.221727i | 0.176640 | + | 0.0286248i | ||||
\(61\) | −0.219049 | + | 3.34204i | −0.0280464 | + | 0.427905i | 0.960629 | + | 0.277834i | \(0.0896167\pi\) |
−0.988675 | + | 0.150070i | \(0.952050\pi\) | |||||||
\(62\) | −6.26524 | − | 0.594409i | −0.795687 | − | 0.0754900i | ||||
\(63\) | −6.10432 | − | 3.07431i | −0.769073 | − | 0.387327i | ||||
\(64\) | −6.74578 | − | 4.30051i | −0.843223 | − | 0.537564i | ||||
\(65\) | 0.453501 | + | 0.785487i | 0.0562499 | + | 0.0974277i | ||||
\(66\) | 13.1815 | + | 4.48357i | 1.62254 | + | 0.551889i | ||||
\(67\) | −5.54287 | + | 2.73344i | −0.677169 | + | 0.333943i | −0.748145 | − | 0.663535i | \(-0.769055\pi\) |
0.0709760 | + | 0.997478i | \(0.477389\pi\) | |||||||
\(68\) | −0.192072 | − | 2.64033i | −0.0232922 | − | 0.320187i | ||||
\(69\) | −8.87875 | − | 4.06793i | −1.06888 | − | 0.489721i | ||||
\(70\) | 0.205445 | − | 1.27272i | 0.0245553 | − | 0.152120i | ||||
\(71\) | 1.44186 | − | 3.48097i | 0.171118 | − | 0.413115i | −0.814934 | − | 0.579554i | \(-0.803227\pi\) |
0.986052 | + | 0.166439i | \(0.0532269\pi\) | |||||||
\(72\) | −6.54652 | + | 5.39843i | −0.771515 | + | 0.636212i | ||||
\(73\) | 5.52850 | + | 13.3470i | 0.647063 | + | 1.56215i | 0.816966 | + | 0.576686i | \(0.195655\pi\) |
−0.169903 | + | 0.985461i | \(0.554345\pi\) | |||||||
\(74\) | −1.55438 | − | 6.55997i | −0.180693 | − | 0.762581i | ||||
\(75\) | −8.26517 | − | 1.40026i | −0.954380 | − | 0.161688i | ||||
\(76\) | 6.41766 | + | 3.64416i | 0.736157 | + | 0.418014i | ||||
\(77\) | 4.16261 | − | 12.2627i | 0.474373 | − | 1.39746i | ||||
\(78\) | −5.44506 | − | 1.08657i | −0.616532 | − | 0.123030i | ||||
\(79\) | 3.11193 | − | 11.6139i | 0.350119 | − | 1.30666i | −0.536397 | − | 0.843966i | \(-0.680215\pi\) |
0.886517 | − | 0.462697i | \(-0.153118\pi\) | |||||||
\(80\) | −1.34340 | − | 0.870035i | −0.150196 | − | 0.0972728i | ||||
\(81\) | 3.30403 | + | 8.37158i | 0.367114 | + | 0.930176i | ||||
\(82\) | 2.68284 | + | 8.73137i | 0.296270 | + | 0.964218i | ||||
\(83\) | −5.97833 | + | 5.24286i | −0.656207 | + | 0.575478i | −0.921351 | − | 0.388731i | \(-0.872914\pi\) |
0.265144 | + | 0.964209i | \(0.414580\pi\) | |||||||
\(84\) | 5.02480 | + | 6.08580i | 0.548251 | + | 0.664015i | ||||
\(85\) | −0.0346398 | − | 0.528501i | −0.00375721 | − | 0.0573239i | ||||
\(86\) | −16.5991 | − | 0.483852i | −1.78993 | − | 0.0521751i | ||||
\(87\) | −5.43200 | + | 14.2507i | −0.582372 | + | 1.52784i | ||||
\(88\) | −11.8516 | − | 10.8634i | −1.26338 | − | 1.15804i | ||||
\(89\) | −2.28737 | − | 0.947461i | −0.242461 | − | 0.100431i | 0.258144 | − | 0.966106i | \(-0.416889\pi\) |
−0.500605 | + | 0.865676i | \(0.666889\pi\) | |||||||
\(90\) | −1.31744 | + | 1.07062i | −0.138870 | + | 0.112854i | ||||
\(91\) | −1.00750 | + | 5.06505i | −0.105615 | + | 0.530961i | ||||
\(92\) | 7.49611 | + | 8.42508i | 0.781523 | + | 0.878375i | ||||
\(93\) | 5.64770 | − | 5.24531i | 0.585640 | − | 0.543914i | ||||
\(94\) | −9.63247 | + | 1.62581i | −0.993514 | + | 0.167690i | ||||
\(95\) | 1.27869 | + | 0.738254i | 0.131191 | + | 0.0757433i | ||||
\(96\) | 9.42842 | − | 2.66551i | 0.962284 | − | 0.272048i | ||||
\(97\) | −8.69119 | + | 5.01786i | −0.882457 | + | 0.509487i | −0.871468 | − | 0.490453i | \(-0.836831\pi\) |
−0.0109892 | + | 0.999940i | \(0.503498\pi\) | |||||||
\(98\) | −1.97236 | + | 1.63054i | −0.199238 | + | 0.164709i | ||||
\(99\) | −14.8389 | + | 8.40188i | −1.49136 | + | 0.844420i | ||||
\(100\) | 8.08679 | + | 5.31998i | 0.808679 | + | 0.531998i | ||||
\(101\) | 6.44462 | − | 2.18765i | 0.641264 | − | 0.217680i | 0.0181800 | − | 0.999835i | \(-0.494213\pi\) |
0.623084 | + | 0.782155i | \(0.285879\pi\) | |||||||
\(102\) | 2.57106 | + | 1.97535i | 0.254573 | + | 0.195589i | ||||
\(103\) | −15.0345 | + | 11.5363i | −1.48139 | + | 1.13671i | −0.522604 | + | 0.852576i | \(0.675039\pi\) |
−0.958785 | + | 0.284134i | \(0.908294\pi\) | |||||||
\(104\) | 5.25132 | + | 3.67824i | 0.514934 | + | 0.360681i | ||||
\(105\) | 0.996535 | + | 1.22473i | 0.0972519 | + | 0.119522i | ||||
\(106\) | 1.89139 | + | 1.16677i | 0.183708 | + | 0.113326i | ||||
\(107\) | 6.91572 | − | 4.62094i | 0.668568 | − | 0.446723i | −0.174408 | − | 0.984673i | \(-0.555801\pi\) |
0.842977 | + | 0.537950i | \(0.180801\pi\) | |||||||
\(108\) | 0.396400 | − | 10.3847i | 0.0381436 | − | 0.999272i | ||||
\(109\) | −0.171640 | − | 0.862893i | −0.0164401 | − | 0.0826502i | 0.971694 | − | 0.236242i | \(-0.0759159\pi\) |
−0.988134 | + | 0.153592i | \(0.950916\pi\) | |||||||
\(110\) | −2.35545 | − | 2.19033i | −0.224584 | − | 0.208840i | ||||
\(111\) | 7.26540 | + | 3.92274i | 0.689601 | + | 0.372330i | ||||
\(112\) | −2.48457 | − | 8.76780i | −0.234770 | − | 0.828479i | ||||
\(113\) | −14.4542 | + | 3.87299i | −1.35974 | + | 0.364340i | −0.863720 | − | 0.503973i | \(-0.831871\pi\) |
−0.496017 | + | 0.868313i | \(0.665205\pi\) | |||||||
\(114\) | −8.56087 | + | 2.90016i | −0.801799 | + | 0.271625i | ||||
\(115\) | 1.48759 | + | 1.69627i | 0.138719 | + | 0.158178i | ||||
\(116\) | 12.3627 | − | 12.5412i | 1.14785 | − | 1.16442i | ||||
\(117\) | 5.42961 | − | 4.09431i | 0.501967 | − | 0.378519i | ||||
\(118\) | 1.58546 | − | 5.29480i | 0.145953 | − | 0.487426i | ||||
\(119\) | 1.83580 | − | 2.39246i | 0.168287 | − | 0.219316i | ||||
\(120\) | 1.89007 | − | 0.519742i | 0.172539 | − | 0.0474458i | ||||
\(121\) | −12.9722 | − | 16.9058i | −1.17929 | − | 1.53689i | ||||
\(122\) | 1.68431 | + | 4.42691i | 0.152490 | + | 0.400794i | ||||
\(123\) | −10.1705 | − | 4.65974i | −0.917040 | − | 0.420155i | ||||
\(124\) | −8.40712 | + | 2.92120i | −0.754982 | + | 0.262332i | ||||
\(125\) | 3.27370 | + | 2.18742i | 0.292809 | + | 0.195648i | ||||
\(126\) | −9.65902 | − | 0.362752i | −0.860494 | − | 0.0323166i | ||||
\(127\) | −6.69310 | −0.593917 | −0.296958 | − | 0.954890i | \(-0.595972\pi\) | ||||
−0.296958 | + | 0.954890i | \(0.595972\pi\) | |||||||
\(128\) | −11.2053 | − | 1.56236i | −0.990419 | − | 0.138095i | ||||
\(129\) | 13.9653 | − | 14.7857i | 1.22958 | − | 1.30181i | ||||
\(130\) | 1.04531 | + | 0.743400i | 0.0916793 | + | 0.0652005i | ||||
\(131\) | 13.3155 | − | 6.56649i | 1.16338 | − | 0.573717i | 0.245044 | − | 0.969512i | \(-0.421197\pi\) |
0.918339 | + | 0.395795i | \(0.129531\pi\) | |||||||
\(132\) | 19.5897 | − | 1.98817i | 1.70507 | − | 0.173048i | ||||
\(133\) | 2.70232 | + | 7.96077i | 0.234321 | + | 0.690286i | ||||
\(134\) | −5.52044 | + | 6.77605i | −0.476893 | + | 0.585362i | ||||
\(135\) | 0.0941957 | − | 2.07701i | 0.00810707 | − | 0.178760i | ||||
\(136\) | −1.80024 | − | 3.28262i | −0.154369 | − | 0.281483i | ||||
\(137\) | −8.39291 | + | 10.9379i | −0.717055 | + | 0.934484i | −0.999694 | − | 0.0247424i | \(-0.992123\pi\) |
0.282639 | + | 0.959226i | \(0.408790\pi\) | |||||||
\(138\) | −13.8116 | − | 0.00848970i | −1.17572 | − | 0.000722692i | ||||
\(139\) | −3.80943 | + | 0.249683i | −0.323112 | + | 0.0211779i | −0.226096 | − | 0.974105i | \(-0.572596\pi\) |
−0.0970157 | + | 0.995283i | \(0.530930\pi\) | |||||||
\(140\) | −0.484490 | − | 1.75765i | −0.0409469 | − | 0.148549i | ||||
\(141\) | 6.36050 | − | 10.1334i | 0.535651 | − | 0.853386i | ||||
\(142\) | −0.193427 | − | 5.32492i | −0.0162320 | − | 0.446858i | ||||
\(143\) | 9.11077 | + | 9.11077i | 0.761880 | + | 0.761880i | ||||
\(144\) | −5.24346 | + | 10.7938i | −0.436955 | + | 0.899483i | ||||
\(145\) | 2.49127 | − | 2.49127i | 0.206889 | − | 0.206889i | ||||
\(146\) | 14.9616 | + | 13.9127i | 1.23823 | + | 1.15143i | ||||
\(147\) | 0.115700 | − | 3.13207i | 0.00954275 | − | 0.258329i | ||||
\(148\) | −5.85804 | − | 7.52209i | −0.481528 | − | 0.618312i | ||||
\(149\) | −0.963507 | − | 14.7003i | −0.0789336 | − | 1.20429i | −0.835169 | − | 0.549994i | \(-0.814630\pi\) |
0.756235 | − | 0.654300i | \(-0.227037\pi\) | |||||||
\(150\) | −11.4532 | + | 3.06133i | −0.935150 | + | 0.249957i | ||||
\(151\) | 7.21972 | + | 5.53988i | 0.587532 | + | 0.450829i | 0.859256 | − | 0.511546i | \(-0.170927\pi\) |
−0.271724 | + | 0.962375i | \(0.587594\pi\) | |||||||
\(152\) | 10.3972 | + | 0.911280i | 0.843326 | + | 0.0739146i | ||||
\(153\) | −3.90103 | + | 0.741965i | −0.315379 | + | 0.0599843i | ||||
\(154\) | −1.86039 | − | 18.2192i | −0.149914 | − | 1.46814i | ||||
\(155\) | −1.68612 | + | 0.572361i | −0.135432 | + | 0.0459731i | ||||
\(156\) | −7.64185 | + | 1.80577i | −0.611838 | + | 0.144577i | ||||
\(157\) | −1.83334 | − | 3.71765i | −0.146317 | − | 0.296701i | 0.811360 | − | 0.584547i | \(-0.198728\pi\) |
−0.957677 | + | 0.287846i | \(0.907061\pi\) | |||||||
\(158\) | −2.82996 | − | 16.7667i | −0.225140 | − | 1.33389i | ||||
\(159\) | −2.60787 | + | 0.779148i | −0.206818 | + | 0.0617905i | ||||
\(160\) | −2.23950 | − | 0.328635i | −0.177048 | − | 0.0259809i | ||||
\(161\) | 12.8461i | 1.01242i | ||||||||
\(162\) | 9.17391 | + | 8.82267i | 0.720770 | + | 0.693174i | ||||
\(163\) | 0.773412 | − | 1.15749i | 0.0605783 | − | 0.0906618i | −0.799944 | − | 0.600075i | \(-0.795137\pi\) |
0.860522 | + | 0.509413i | \(0.170137\pi\) | |||||||
\(164\) | 8.58667 | + | 9.65079i | 0.670506 | + | 0.753600i | ||||
\(165\) | 3.92198 | − | 0.369662i | 0.305326 | − | 0.0287781i | ||||
\(166\) | −4.60426 | + | 10.2595i | −0.357360 | + | 0.796289i | ||||
\(167\) | 17.3714 | − | 13.3296i | 1.34424 | − | 1.03147i | 0.348693 | − | 0.937237i | \(-0.386626\pi\) |
0.995550 | − | 0.0942369i | \(-0.0300411\pi\) | |||||||
\(168\) | 10.0423 | + | 4.87074i | 0.774777 | + | 0.375786i | ||||
\(169\) | 6.23717 | + | 4.78595i | 0.479782 | + | 0.368150i | ||||
\(170\) | −0.355449 | − | 0.659304i | −0.0272617 | − | 0.0505663i | ||||
\(171\) | 4.32211 | − | 10.1916i | 0.330520 | − | 0.779370i | ||||
\(172\) | −21.6320 | + | 9.14247i | −1.64942 | + | 0.697107i | ||||
\(173\) | −0.180966 | + | 0.158703i | −0.0137586 | + | 0.0120660i | −0.666198 | − | 0.745775i | \(-0.732079\pi\) |
0.652439 | + | 0.757841i | \(0.273746\pi\) | |||||||
\(174\) | 1.39739 | + | 21.5227i | 0.105936 | + | 1.63163i | ||||
\(175\) | 2.85388 | + | 10.6508i | 0.215733 | + | 0.805126i | ||||
\(176\) | −21.6324 | − | 6.99902i | −1.63060 | − | 0.527571i | ||||
\(177\) | 3.55046 | + | 5.76342i | 0.266869 | + | 0.433206i | ||||
\(178\) | −3.49905 | + | 0.127102i | −0.262265 | + | 0.00952671i | ||||
\(179\) | −15.7441 | + | 3.13171i | −1.17677 | + | 0.234075i | −0.744471 | − | 0.667654i | \(-0.767298\pi\) |
−0.432301 | + | 0.901729i | \(0.642298\pi\) | |||||||
\(180\) | −1.06449 | + | 2.15189i | −0.0793421 | + | 0.160392i | ||||
\(181\) | 10.8788 | + | 16.2813i | 0.808615 | + | 1.21018i | 0.974579 | + | 0.224046i | \(0.0719267\pi\) |
−0.165963 | + | 0.986132i | \(0.553073\pi\) | |||||||
\(182\) | 1.68391 | + | 7.10662i | 0.124819 | + | 0.526777i | ||||
\(183\) | −5.42057 | − | 2.06618i | −0.400700 | − | 0.152737i | ||||
\(184\) | 14.5966 | + | 6.42540i | 1.07608 | + | 0.473687i | ||||
\(185\) | −1.16117 | − | 1.51327i | −0.0853712 | − | 0.111258i | ||||
\(186\) | 4.17761 | − | 10.0681i | 0.306317 | − | 0.738231i | ||||
\(187\) | −2.41845 | − | 7.12452i | −0.176855 | − | 0.520997i | ||||
\(188\) | −11.4315 | + | 7.75737i | −0.833727 | + | 0.565764i | ||||
\(189\) | 8.20067 | − | 8.53765i | 0.596511 | − | 0.621023i | ||||
\(190\) | 2.07876 | + | 0.197221i | 0.150809 | + | 0.0143079i | ||||
\(191\) | 13.4095 | + | 23.2260i | 0.970280 | + | 1.68057i | 0.694704 | + | 0.719296i | \(0.255535\pi\) |
0.275576 | + | 0.961279i | \(0.411131\pi\) | |||||||
\(192\) | 10.5574 | − | 8.97444i | 0.761917 | − | 0.647674i | ||||
\(193\) | −6.58835 | + | 11.4113i | −0.474240 | + | 0.821407i | −0.999565 | − | 0.0294945i | \(-0.990610\pi\) |
0.525325 | + | 0.850901i | \(0.323944\pi\) | |||||||
\(194\) | −8.22551 | + | 11.5660i | −0.590557 | + | 0.830391i | ||||
\(195\) | −1.53142 | + | 0.350304i | −0.109667 | + | 0.0250858i | ||||
\(196\) | −1.57737 | + | 3.25724i | −0.112669 | + | 0.232660i | ||||
\(197\) | −8.05630 | − | 1.60250i | −0.573988 | − | 0.114173i | −0.100443 | − | 0.994943i | \(-0.532026\pi\) |
−0.473545 | + | 0.880770i | \(0.657026\pi\) | |||||||
\(198\) | −14.1410 | + | 19.5345i | −1.00496 | + | 1.38826i | ||||
\(199\) | 6.45115 | − | 15.5744i | 0.457310 | − | 1.10404i | −0.512173 | − | 0.858882i | \(-0.671159\pi\) |
0.969482 | − | 0.245161i | \(-0.0788407\pi\) | |||||||
\(200\) | 13.5296 | + | 2.08458i | 0.956690 | + | 0.147402i | ||||
\(201\) | −1.69935 | − | 10.5687i | −0.119863 | − | 0.745459i | ||||
\(202\) | 7.00122 | − | 6.60462i | 0.492604 | − | 0.464699i | ||||
\(203\) | 20.0173 | − | 1.31201i | 1.40494 | − | 0.0920848i | ||||
\(204\) | 4.46856 | + | 1.02794i | 0.312862 | + | 0.0719704i | ||||
\(205\) | 1.70401 | + | 1.94305i | 0.119013 | + | 0.135709i | ||||
\(206\) | −12.5487 | + | 23.6807i | −0.874308 | + | 1.64991i | ||||
\(207\) | 11.2597 | − | 12.6238i | 0.782603 | − | 0.877414i | ||||
\(208\) | 8.91728 | + | 1.64123i | 0.618302 | + | 0.113799i | ||||
\(209\) | 20.2601 | + | 5.42867i | 1.40142 | + | 0.375509i | ||||
\(210\) | 2.00207 | + | 0.988843i | 0.138156 | + | 0.0682366i | ||||
\(211\) | −9.89361 | − | 3.35843i | −0.681104 | − | 0.231204i | −0.0406194 | − | 0.999175i | \(-0.512933\pi\) |
−0.640485 | + | 0.767971i | \(0.721266\pi\) | |||||||
\(212\) | 3.11881 | + | 0.387878i | 0.214201 | + | 0.0266396i | ||||
\(213\) | 5.02722 | + | 4.16118i | 0.344459 | + | 0.285119i | ||||
\(214\) | 6.17565 | − | 10.0111i | 0.422159 | − | 0.684344i | ||||
\(215\) | −4.34081 | + | 1.79802i | −0.296041 | + | 0.122624i | ||||
\(216\) | −5.59923 | − | 13.5885i | −0.380979 | − | 0.924584i | ||||
\(217\) | −9.36671 | − | 3.87982i | −0.635854 | − | 0.263379i | ||||
\(218\) | −0.728352 | − | 1.00876i | −0.0493302 | − | 0.0683217i | ||||
\(219\) | −24.9120 | + | 2.34805i | −1.68340 | + | 0.158666i | ||||
\(220\) | −4.31775 | − | 1.43125i | −0.291103 | − | 0.0964946i | ||||
\(221\) | 1.32705 | + | 2.69099i | 0.0892669 | + | 0.181015i | ||||
\(222\) | 11.6513 | + | 0.770862i | 0.781986 | + | 0.0517369i | ||||
\(223\) | 1.22985 | − | 0.710053i | 0.0823568 | − | 0.0475487i | −0.458256 | − | 0.888820i | \(-0.651526\pi\) |
0.540613 | + | 0.841272i | \(0.318192\pi\) | |||||||
\(224\) | −8.35312 | − | 9.81429i | −0.558116 | − | 0.655745i | ||||
\(225\) | 6.53102 | − | 12.9679i | 0.435401 | − | 0.864528i | ||||
\(226\) | −16.3105 | + | 13.4838i | −1.08496 | + | 0.896931i | ||||
\(227\) | 11.5885 | + | 0.759554i | 0.769159 | + | 0.0504133i | 0.444930 | − | 0.895565i | \(-0.353229\pi\) |
0.324229 | + | 0.945979i | \(0.394895\pi\) | |||||||
\(228\) | −9.30369 | + | 8.76586i | −0.616152 | + | 0.580533i | ||||
\(229\) | 5.53624 | + | 4.85515i | 0.365845 | + | 0.320837i | 0.822456 | − | 0.568829i | \(-0.192603\pi\) |
−0.456611 | + | 0.889667i | \(0.650937\pi\) | |||||||
\(230\) | 2.91099 | + | 1.30640i | 0.191945 | + | 0.0861414i | ||||
\(231\) | 18.1770 | + | 13.1413i | 1.19596 | + | 0.864637i | ||||
\(232\) | 8.52153 | − | 23.4013i | 0.559466 | − | 1.53637i | ||||
\(233\) | 19.8440 | − | 8.21965i | 1.30002 | − | 0.538487i | 0.378066 | − | 0.925779i | \(-0.376589\pi\) |
0.921957 | + | 0.387291i | \(0.126589\pi\) | |||||||
\(234\) | 4.57423 | − | 8.45958i | 0.299026 | − | 0.553020i | ||||
\(235\) | −2.29811 | + | 1.53555i | −0.149912 | + | 0.100168i | ||||
\(236\) | −1.07577 | − | 7.74208i | −0.0700269 | − | 0.503967i | ||||
\(237\) | 17.6387 | + | 11.0714i | 1.14575 | + | 0.719164i | ||||
\(238\) | 0.953530 | − | 4.15678i | 0.0618082 | − | 0.269444i | ||||
\(239\) | −0.769771 | − | 2.87282i | −0.0497923 | − | 0.185828i | 0.936551 | − | 0.350533i | \(-0.113999\pi\) |
−0.986343 | + | 0.164705i | \(0.947333\pi\) | |||||||
\(240\) | 2.12499 | − | 1.78029i | 0.137168 | − | 0.114917i | ||||
\(241\) | 2.46422 | − | 9.19659i | 0.158734 | − | 0.592404i | −0.840022 | − | 0.542552i | \(-0.817458\pi\) |
0.998757 | − | 0.0498526i | \(-0.0158751\pi\) | |||||||
\(242\) | −26.6282 | − | 14.1106i | −1.71172 | − | 0.907063i | ||||
\(243\) | −15.5420 | + | 1.20195i | −0.997023 | + | 0.0771053i | ||||
\(244\) | 4.77033 | + | 4.70243i | 0.305389 | + | 0.301042i | ||||
\(245\) | −0.320240 | + | 0.649382i | −0.0204594 | + | 0.0414875i | ||||
\(246\) | −15.8210 | − | 0.00972482i | −1.00871 | − | 0.000620032i | ||||
\(247\) | −8.29295 | − | 1.09179i | −0.527668 | − | 0.0694688i | ||||
\(248\) | −9.09358 | + | 8.70248i | −0.577443 | + | 0.552608i | ||||
\(249\) | −5.63132 | − | 12.5687i | −0.356870 | − | 0.796509i | ||||
\(250\) | 5.49695 | + | 0.887324i | 0.347658 | + | 0.0561193i | ||||
\(251\) | 5.18920 | + | 1.03220i | 0.327540 | + | 0.0651517i | 0.356121 | − | 0.934440i | \(-0.384099\pi\) |
−0.0285816 | + | 0.999591i | \(0.509099\pi\) | |||||||
\(252\) | −12.6354 | + | 5.21558i | −0.795958 | + | 0.328551i | ||||
\(253\) | 26.6488 | + | 17.8062i | 1.67540 | + | 1.11947i | ||||
\(254\) | −8.60770 | + | 3.93734i | −0.540095 | + | 0.247051i | ||||
\(255\) | 0.892507 | + | 0.212058i | 0.0558910 | + | 0.0132796i | ||||
\(256\) | −15.3297 | + | 4.58245i | −0.958109 | + | 0.286403i | ||||
\(257\) | 10.6547 | − | 18.4546i | 0.664625 | − | 1.15116i | −0.314762 | − | 0.949171i | \(-0.601925\pi\) |
0.979387 | − | 0.201993i | \(-0.0647419\pi\) | |||||||
\(258\) | 9.26220 | − | 27.2306i | 0.576640 | − | 1.69530i | ||||
\(259\) | 0.710314 | − | 10.8373i | 0.0441367 | − | 0.673396i | ||||
\(260\) | 1.78164 | + | 0.341133i | 0.110493 | + | 0.0211562i | ||||
\(261\) | −20.8209 | − | 16.2560i | −1.28878 | − | 1.00622i | ||||
\(262\) | 13.2617 | − | 16.2780i | 0.819308 | − | 1.00566i | ||||
\(263\) | 5.38419 | − | 0.708841i | 0.332003 | − | 0.0437090i | 0.0373180 | − | 0.999303i | \(-0.488119\pi\) |
0.294685 | + | 0.955594i | \(0.404785\pi\) | |||||||
\(264\) | 24.0239 | − | 14.0809i | 1.47857 | − | 0.866621i | ||||
\(265\) | 0.623394 | + | 0.0820714i | 0.0382948 | + | 0.00504160i | ||||
\(266\) | 8.15840 | + | 8.64830i | 0.500224 | + | 0.530262i | ||||
\(267\) | 2.73434 | − | 3.30343i | 0.167339 | − | 0.202166i | ||||
\(268\) | −3.11346 | + | 11.9619i | −0.190185 | + | 0.730688i | ||||
\(269\) | −16.3342 | + | 3.24908i | −0.995917 | + | 0.198100i | −0.666034 | − | 0.745922i | \(-0.732009\pi\) |
−0.329883 | + | 0.944022i | \(0.607009\pi\) | |||||||
\(270\) | −1.10070 | − | 2.72656i | −0.0669862 | − | 0.165933i | ||||
\(271\) | −1.32975 | − | 1.32975i | −0.0807766 | − | 0.0807766i | 0.665564 | − | 0.746341i | \(-0.268191\pi\) |
−0.746341 | + | 0.665564i | \(0.768191\pi\) | |||||||
\(272\) | −4.24627 | − | 3.16261i | −0.257468 | − | 0.191762i | ||||
\(273\) | −7.87083 | − | 4.24963i | −0.476364 | − | 0.257199i | ||||
\(274\) | −4.35936 | + | 19.0040i | −0.263358 | + | 1.14807i | ||||
\(275\) | 26.0506 | + | 8.84298i | 1.57091 | + | 0.533252i | ||||
\(276\) | −17.7675 | + | 8.11402i | −1.06948 | + | 0.488406i | ||||
\(277\) | 11.6888 | + | 5.76428i | 0.702313 | + | 0.346342i | 0.758134 | − | 0.652099i | \(-0.226111\pi\) |
−0.0558217 | + | 0.998441i | \(0.517778\pi\) | |||||||
\(278\) | −4.75226 | + | 2.56208i | −0.285022 | + | 0.153663i | ||||
\(279\) | 5.80392 | + | 12.0227i | 0.347472 | + | 0.719777i | ||||
\(280\) | −1.65705 | − | 1.97543i | −0.0990278 | − | 0.118054i | ||||
\(281\) | 0.445051 | + | 3.38050i | 0.0265495 | + | 0.201664i | 0.999579 | − | 0.0290176i | \(-0.00923788\pi\) |
−0.973029 | + | 0.230681i | \(0.925905\pi\) | |||||||
\(282\) | 2.21880 | − | 16.7738i | 0.132128 | − | 0.998865i | ||||
\(283\) | −7.80561 | − | 6.84534i | −0.463996 | − | 0.406913i | 0.395172 | − | 0.918607i | \(-0.370685\pi\) |
−0.859168 | + | 0.511694i | \(0.829018\pi\) | |||||||
\(284\) | −3.38124 | − | 6.73436i | −0.200640 | − | 0.399611i | ||||
\(285\) | −1.87387 | + | 1.74036i | −0.110998 | + | 0.103090i | ||||
\(286\) | 17.0765 | + | 6.35738i | 1.00976 | + | 0.375920i | ||||
\(287\) | 14.7150i | 0.868600i | ||||||||
\(288\) | −0.393726 | + | 16.9660i | −0.0232005 | + | 0.999731i | ||||
\(289\) | 15.2479i | 0.896938i | ||||||||
\(290\) | 1.73838 | − | 4.66945i | 0.102081 | − | 0.274200i | ||||
\(291\) | −3.87602 | − | 16.9447i | −0.227216 | − | 0.993318i | ||||
\(292\) | 27.4259 | + | 9.09112i | 1.60498 | + | 0.532017i | ||||
\(293\) | −5.39906 | − | 4.73485i | −0.315417 | − | 0.276613i | 0.486969 | − | 0.873419i | \(-0.338103\pi\) |
−0.802385 | + | 0.596807i | \(0.796436\pi\) | |||||||
\(294\) | −1.69370 | − | 4.09608i | −0.0987788 | − | 0.238888i | ||||
\(295\) | −0.204117 | − | 1.55042i | −0.0118842 | − | 0.0902692i | ||||
\(296\) | −11.9588 | − | 6.22773i | −0.695090 | − | 0.361979i | ||||
\(297\) | −6.34400 | − | 28.8462i | −0.368116 | − | 1.67383i | ||||
\(298\) | −9.88684 | − | 18.3386i | −0.572729 | − | 1.06233i | ||||
\(299\) | −11.4632 | − | 5.65302i | −0.662934 | − | 0.326923i | ||||
\(300\) | −12.9286 | + | 10.6746i | −0.746431 | + | 0.616298i | ||||
\(301\) | −25.3323 | − | 8.59916i | −1.46013 | − | 0.495648i | ||||
\(302\) | 12.5439 | + | 2.87747i | 0.721820 | + | 0.165580i | ||||
\(303\) | 0.336223 | + | 11.7832i | 0.0193155 | + | 0.676927i | ||||
\(304\) | 13.9075 | − | 4.94440i | 0.797649 | − | 0.283581i | ||||
\(305\) | 0.947610 | + | 0.947610i | 0.0542600 | + | 0.0542600i | ||||
\(306\) | −4.58047 | + | 3.24906i | −0.261848 | + | 0.185737i | ||||
\(307\) | −22.3885 | + | 4.45335i | −1.27778 | + | 0.254166i | −0.786910 | − | 0.617067i | \(-0.788321\pi\) |
−0.490869 | + | 0.871233i | \(0.663321\pi\) | |||||||
\(308\) | −13.1103 | − | 22.3365i | −0.747031 | − | 1.27274i | ||||
\(309\) | −11.4329 | − | 30.7677i | −0.650396 | − | 1.75032i | ||||
\(310\) | −1.83174 | + | 1.72798i | −0.104036 | + | 0.0981426i | ||||
\(311\) | −26.3477 | − | 3.46874i | −1.49404 | − | 0.196694i | −0.661202 | − | 0.750208i | \(-0.729953\pi\) |
−0.832840 | + | 0.553514i | \(0.813287\pi\) | |||||||
\(312\) | −8.76557 | + | 6.81778i | −0.496253 | + | 0.385981i | ||||
\(313\) | −7.67035 | + | 1.00982i | −0.433554 | + | 0.0570784i | −0.344145 | − | 0.938917i | \(-0.611831\pi\) |
−0.0894089 | + | 0.995995i | \(0.528498\pi\) | |||||||
\(314\) | −4.54476 | − | 3.70261i | −0.256476 | − | 0.208950i | ||||
\(315\) | −2.53533 | + | 1.02531i | −0.142850 | + | 0.0577697i | ||||
\(316\) | −13.5028 | − | 19.8982i | −0.759594 | − | 1.11936i | ||||
\(317\) | 1.98725 | − | 30.3196i | 0.111615 | − | 1.70292i | −0.464517 | − | 0.885564i | \(-0.653772\pi\) |
0.576132 | − | 0.817356i | \(-0.304561\pi\) | |||||||
\(318\) | −2.89552 | + | 2.53616i | −0.162373 | + | 0.142221i | ||||
\(319\) | 25.0246 | − | 43.3439i | 1.40111 | − | 2.42679i | ||||
\(320\) | −3.07344 | + | 0.894783i | −0.171811 | + | 0.0500199i | ||||
\(321\) | 4.12401 | + | 13.8034i | 0.230180 | + | 0.770430i | ||||
\(322\) | 7.55696 | + | 16.5208i | 0.421133 | + | 0.920669i | ||||
\(323\) | 4.06120 | + | 2.71361i | 0.225971 | + | 0.150989i | ||||
\(324\) | 16.9883 | + | 5.94972i | 0.943792 | + | 0.330540i | ||||
\(325\) | −10.7601 | − | 2.14032i | −0.596863 | − | 0.118723i | ||||
\(326\) | 0.313734 | − | 1.94357i | 0.0173761 | − | 0.107645i | ||||
\(327\) | 1.51588 | + | 0.155730i | 0.0838282 | + | 0.00861188i | ||||
\(328\) | 16.7202 | + | 7.36019i | 0.923219 | + | 0.406399i | ||||
\(329\) | −15.6025 | − | 2.05411i | −0.860194 | − | 0.113247i | ||||
\(330\) | 4.82642 | − | 2.78258i | 0.265686 | − | 0.153176i | ||||
\(331\) | 5.18082 | − | 10.5057i | 0.284764 | − | 0.577443i | −0.706747 | − | 0.707466i | \(-0.749838\pi\) |
0.991511 | + | 0.130022i | \(0.0415049\pi\) | |||||||
\(332\) | 0.113990 | + | 15.9028i | 0.00625599 | + | 0.872779i | ||||
\(333\) | −10.1970 | + | 10.0271i | −0.558791 | + | 0.549484i | ||||
\(334\) | 14.4993 | − | 27.3617i | 0.793365 | − | 1.49716i | ||||
\(335\) | −0.640032 | + | 2.38863i | −0.0349687 | + | 0.130505i | ||||
\(336\) | 15.7802 | + | 0.356503i | 0.860881 | + | 0.0194488i | ||||
\(337\) | 5.86998 | + | 21.9071i | 0.319758 | + | 1.19335i | 0.919477 | + | 0.393144i | \(0.128613\pi\) |
−0.599719 | + | 0.800211i | \(0.704721\pi\) | |||||||
\(338\) | 10.8368 | + | 2.48586i | 0.589442 | + | 0.135213i | ||||
\(339\) | 0.956786 | − | 25.9009i | 0.0519655 | − | 1.40674i | ||||
\(340\) | −0.844975 | − | 0.638802i | −0.0458252 | − | 0.0346439i | ||||
\(341\) | −21.0319 | + | 14.0531i | −1.13894 | + | 0.761016i | ||||
\(342\) | −0.436918 | − | 15.6495i | −0.0236258 | − | 0.846229i | ||||
\(343\) | −18.5426 | + | 7.68061i | −1.00121 | + | 0.414714i | ||||
\(344\) | −22.4417 | + | 24.4832i | −1.20998 | + | 1.32004i | ||||
\(345\) | −3.56620 | + | 1.59781i | −0.191998 | + | 0.0860234i | ||||
\(346\) | −0.139372 | + | 0.310557i | −0.00749271 | + | 0.0166957i | ||||
\(347\) | −11.1091 | − | 9.74243i | −0.596369 | − | 0.523001i | 0.307088 | − | 0.951681i | \(-0.400645\pi\) |
−0.903456 | + | 0.428680i | \(0.858979\pi\) | |||||||
\(348\) | 14.4582 | + | 26.8573i | 0.775043 | + | 1.43970i | ||||
\(349\) | 18.3610 | + | 1.20345i | 0.982844 | + | 0.0644190i | 0.548344 | − | 0.836253i | \(-0.315258\pi\) |
0.434500 | + | 0.900672i | \(0.356925\pi\) | |||||||
\(350\) | 9.93579 | + | 12.0187i | 0.531090 | + | 0.642426i | ||||
\(351\) | 4.00979 | + | 11.0749i | 0.214027 | + | 0.591135i | ||||
\(352\) | −31.9378 | + | 3.72454i | −1.70229 | + | 0.198519i | ||||
\(353\) | −5.40531 | + | 3.12076i | −0.287696 | + | 0.166101i | −0.636902 | − | 0.770945i | \(-0.719785\pi\) |
0.349206 | + | 0.937046i | \(0.386451\pi\) | |||||||
\(354\) | 7.95653 | + | 5.32346i | 0.422885 | + | 0.282939i | ||||
\(355\) | −0.666795 | − | 1.35213i | −0.0353898 | − | 0.0717634i | ||||
\(356\) | −4.42520 | + | 2.22184i | −0.234535 | + | 0.117757i | ||||
\(357\) | 3.02456 | + | 4.25841i | 0.160076 | + | 0.225379i | ||||
\(358\) | −18.4056 | + | 13.2893i | −0.972765 | + | 0.702363i | ||||
\(359\) | 9.22143 | + | 3.81964i | 0.486689 | + | 0.201593i | 0.612515 | − | 0.790459i | \(-0.290158\pi\) |
−0.125826 | + | 0.992052i | \(0.540158\pi\) | |||||||
\(360\) | −0.103098 | + | 3.39366i | −0.00543376 | + | 0.178861i | ||||
\(361\) | 4.97364 | − | 2.06015i | 0.261770 | − | 0.108429i | ||||
\(362\) | 23.5685 | + | 14.5390i | 1.23873 | + | 0.764152i | ||||
\(363\) | 34.5973 | − | 12.8559i | 1.81589 | − | 0.674762i | ||||
\(364\) | 6.34620 | + | 8.14891i | 0.332631 | + | 0.427119i | ||||
\(365\) | 5.47379 | + | 1.85810i | 0.286511 | + | 0.0972574i | ||||
\(366\) | −8.18663 | + | 0.531526i | −0.427922 | + | 0.0277833i | ||||
\(367\) | 29.7951 | + | 7.98357i | 1.55529 | + | 0.416739i | 0.931169 | − | 0.364588i | \(-0.118790\pi\) |
0.624122 | + | 0.781327i | \(0.285457\pi\) | |||||||
\(368\) | 22.5519 | − | 0.323316i | 1.17560 | − | 0.0168540i | ||||
\(369\) | 12.8978 | − | 14.4603i | 0.671432 | − | 0.752776i | ||||
\(370\) | −2.38355 | − | 1.26307i | −0.123915 | − | 0.0656639i | ||||
\(371\) | 2.36052 | + | 2.69166i | 0.122552 | + | 0.139744i | ||||
\(372\) | −0.550128 | − | 15.4057i | −0.0285228 | − | 0.798751i | ||||
\(373\) | 35.6900 | − | 2.33924i | 1.84796 | − | 0.121121i | 0.899281 | − | 0.437371i | \(-0.144090\pi\) |
0.948676 | + | 0.316250i | \(0.102424\pi\) | |||||||
\(374\) | −7.30139 | − | 7.73984i | −0.377546 | − | 0.400217i | ||||
\(375\) | −5.28967 | + | 4.30408i | −0.273157 | + | 0.222262i | ||||
\(376\) | −10.1381 | + | 16.7012i | −0.522833 | + | 0.861298i | ||||
\(377\) | −7.63801 | + | 18.4398i | −0.393378 | + | 0.949698i | ||||
\(378\) | 5.52409 | − | 15.8041i | 0.284129 | − | 0.812875i | ||||
\(379\) | 18.4721 | + | 3.67434i | 0.948850 | + | 0.188738i | 0.645172 | − | 0.764037i | \(-0.276786\pi\) |
0.303677 | + | 0.952775i | \(0.401786\pi\) | |||||||
\(380\) | 2.78942 | − | 0.969235i | 0.143094 | − | 0.0497207i | ||||
\(381\) | 3.41176 | − | 11.0794i | 0.174790 | − | 0.567614i | ||||
\(382\) | 30.9086 | + | 21.9815i | 1.58142 | + | 1.12467i | ||||
\(383\) | 14.5661 | − | 25.2292i | 0.744293 | − | 1.28915i | −0.206232 | − | 0.978503i | \(-0.566120\pi\) |
0.950525 | − | 0.310649i | \(-0.100547\pi\) | |||||||
\(384\) | 8.29807 | − | 17.7522i | 0.423459 | − | 0.905915i | ||||
\(385\) | −2.59083 | − | 4.48744i | −0.132041 | − | 0.228701i | ||||
\(386\) | −1.76004 | + | 18.5514i | −0.0895837 | + | 0.944239i | ||||
\(387\) | 17.3567 | + | 30.6543i | 0.882290 | + | 1.55824i | ||||
\(388\) | −3.77454 | + | 19.7133i | −0.191623 | + | 1.00079i | ||||
\(389\) | 1.17400 | + | 3.45850i | 0.0595242 | + | 0.175353i | 0.972625 | − | 0.232382i | \(-0.0746521\pi\) |
−0.913100 | + | 0.407735i | \(0.866319\pi\) | |||||||
\(390\) | −1.76342 | + | 1.35140i | −0.0892942 | + | 0.0684307i | ||||
\(391\) | 4.54350 | + | 5.92120i | 0.229774 | + | 0.299448i | ||||
\(392\) | −0.112453 | + | 5.11691i | −0.00567975 | + | 0.258443i | ||||
\(393\) | 4.08231 | + | 25.3890i | 0.205925 | + | 1.28071i | ||||
\(394\) | −11.3036 | + | 2.67837i | −0.569465 | + | 0.134934i | ||||
\(395\) | −2.67285 | − | 4.00020i | −0.134485 | − | 0.201272i | ||||
\(396\) | −6.69462 | + | 33.4412i | −0.336417 | + | 1.68048i | ||||
\(397\) | 18.9963 | − | 3.77861i | 0.953399 | − | 0.189643i | 0.306203 | − | 0.951966i | \(-0.400942\pi\) |
0.647196 | + | 0.762324i | \(0.275942\pi\) | |||||||
\(398\) | −0.865424 | − | 23.8246i | −0.0433798 | − | 1.19422i | ||||
\(399\) | −14.5553 | + | 0.415322i | −0.728676 | + | 0.0207921i | ||||
\(400\) | 18.6262 | − | 5.27818i | 0.931309 | − | 0.263909i | ||||
\(401\) | 1.45309 | + | 5.42299i | 0.0725636 | + | 0.270811i | 0.992670 | − | 0.120858i | \(-0.0385645\pi\) |
−0.920106 | + | 0.391669i | \(0.871898\pi\) | |||||||
\(402\) | −8.40269 | − | 12.5923i | −0.419088 | − | 0.628045i | ||||
\(403\) | 7.58404 | − | 6.65102i | 0.377788 | − | 0.331311i | ||||
\(404\) | 5.11867 | − | 12.6125i | 0.254663 | − | 0.627495i | ||||
\(405\) | 3.39014 | + | 1.21466i | 0.168458 | + | 0.0603571i | ||||
\(406\) | 24.9716 | − | 13.4629i | 1.23932 | − | 0.668152i | ||||
\(407\) | −21.4970 | − | 16.4953i | −1.06557 | − | 0.817639i | ||||
\(408\) | 6.35153 | − | 1.30672i | 0.314447 | − | 0.0646924i | ||||
\(409\) | −14.7168 | + | 11.2926i | −0.727698 | + | 0.558382i | −0.904814 | − | 0.425808i | \(-0.859990\pi\) |
0.177116 | + | 0.984190i | \(0.443323\pi\) | |||||||
\(410\) | 3.33449 | + | 1.49646i | 0.164679 | + | 0.0739048i | ||||
\(411\) | −13.8277 | − | 19.4686i | −0.682069 | − | 0.960317i | ||||
\(412\) | −2.20770 | + | 37.8367i | −0.108766 | + | 1.86408i | ||||
\(413\) | 4.94678 | − | 7.40338i | 0.243415 | − | 0.364296i | ||||
\(414\) | 7.05441 | − | 22.8586i | 0.346705 | − | 1.12344i | ||||
\(415\) | 3.18168i | 0.156183i | ||||||||
\(416\) | 12.4336 | − | 3.13504i | 0.609608 | − | 0.153708i | ||||
\(417\) | 1.52852 | − | 6.43319i | 0.0748518 | − | 0.315035i | ||||
\(418\) | 29.2491 | − | 4.93679i | 1.43062 | − | 0.241467i | ||||
\(419\) | 8.72528 | + | 17.6931i | 0.426258 | + | 0.864365i | 0.999003 | + | 0.0446320i | \(0.0142115\pi\) |
−0.572746 | + | 0.819733i | \(0.694122\pi\) | |||||||
\(420\) | 3.15648 | + | 0.0939511i | 0.154021 | + | 0.00458434i | ||||
\(421\) | −11.8005 | + | 4.00573i | −0.575121 | + | 0.195227i | −0.593820 | − | 0.804598i | \(-0.702381\pi\) |
0.0186992 | + | 0.999825i | \(0.494048\pi\) | |||||||
\(422\) | −14.6994 | + | 1.50097i | −0.715555 | + | 0.0730663i | ||||
\(423\) | 13.5320 | + | 15.6942i | 0.657950 | + | 0.763080i | ||||
\(424\) | 4.23914 | − | 1.33587i | 0.205871 | − | 0.0648754i | ||||
\(425\) | 5.08250 | + | 3.89994i | 0.246537 | + | 0.189175i | ||||
\(426\) | 8.91317 | + | 2.39415i | 0.431845 | + | 0.115997i | ||||
\(427\) | 0.499051 | + | 7.61404i | 0.0241507 | + | 0.368469i | ||||
\(428\) | 2.05303 | − | 16.5078i | 0.0992367 | − | 0.797933i | ||||
\(429\) | −19.7256 | + | 10.4373i | −0.952361 | + | 0.503918i | ||||
\(430\) | −4.52481 | + | 4.86592i | −0.218206 | + | 0.234656i | ||||
\(431\) | 10.0459 | − | 10.0459i | 0.483896 | − | 0.483896i | −0.422478 | − | 0.906373i | \(-0.638840\pi\) |
0.906373 | + | 0.422478i | \(0.138840\pi\) | |||||||
\(432\) | −15.1946 | − | 14.1818i | −0.731052 | − | 0.682321i | ||||
\(433\) | 3.46735 | + | 3.46735i | 0.166630 | + | 0.166630i | 0.785496 | − | 0.618866i | \(-0.212408\pi\) |
−0.618866 | + | 0.785496i | \(0.712408\pi\) | |||||||
\(434\) | −14.3285 | + | 0.520479i | −0.687790 | + | 0.0249838i | ||||
\(435\) | 2.85400 | + | 5.39382i | 0.136839 | + | 0.258614i | ||||
\(436\) | −1.53012 | − | 0.868853i | −0.0732796 | − | 0.0416105i | ||||
\(437\) | −20.7621 | + | 1.36082i | −0.993187 | + | 0.0650969i | ||||
\(438\) | −30.6569 | + | 17.6747i | −1.46484 | + | 0.844528i | ||||
\(439\) | 11.2888 | − | 14.7118i | 0.538784 | − | 0.702157i | −0.442052 | − | 0.896989i | \(-0.645749\pi\) |
0.980837 | + | 0.194832i | \(0.0624162\pi\) | |||||||
\(440\) | −6.39483 | + | 0.699334i | −0.304861 | + | 0.0333394i | ||||
\(441\) | 5.12568 | + | 1.78807i | 0.244080 | + | 0.0851463i | ||||
\(442\) | 3.28968 | + | 2.68010i | 0.156474 | + | 0.127479i | ||||
\(443\) | −4.49189 | − | 13.2327i | −0.213416 | − | 0.628703i | −0.999938 | − | 0.0111409i | \(-0.996454\pi\) |
0.786522 | − | 0.617562i | \(-0.211880\pi\) | |||||||
\(444\) | 15.4377 | − | 5.86274i | 0.732643 | − | 0.278234i | ||||
\(445\) | −0.888493 | + | 0.438156i | −0.0421186 | + | 0.0207706i | ||||
\(446\) | 1.16395 | − | 1.63665i | 0.0551147 | − | 0.0774976i | ||||
\(447\) | 24.8252 | + | 5.89842i | 1.17419 | + | 0.278986i | ||||
\(448\) | −16.5160 | − | 7.70785i | −0.780308 | − | 0.364161i | ||||
\(449\) | −29.6075 | −1.39727 | −0.698633 | − | 0.715480i | \(-0.746208\pi\) | ||||
−0.698633 | + | 0.715480i | \(0.746208\pi\) | |||||||
\(450\) | 0.770625 | − | 20.5195i | 0.0363276 | − | 0.967297i | ||||
\(451\) | 30.5258 | + | 20.3967i | 1.43740 | + | 0.960443i | ||||
\(452\) | −13.0442 | + | 26.9360i | −0.613546 | + | 1.26696i | ||||
\(453\) | −12.8506 | + | 9.12720i | −0.603774 | + | 0.428833i | ||||
\(454\) | 15.3503 | − | 5.84035i | 0.720427 | − | 0.274101i | ||||
\(455\) | 1.25794 | + | 1.63937i | 0.0589729 | + | 0.0768550i | ||||
\(456\) | −6.80838 | + | 16.7465i | −0.318832 | + | 0.784225i | ||||
\(457\) | 1.70115 | − | 2.21698i | 0.0795762 | − | 0.103706i | −0.751869 | − | 0.659313i | \(-0.770847\pi\) |
0.831445 | + | 0.555607i | \(0.187514\pi\) | |||||||
\(458\) | 9.97605 | + | 2.98720i | 0.466150 | + | 0.139583i | ||||
\(459\) | 0.760312 | − | 6.83575i | 0.0354883 | − | 0.319066i | ||||
\(460\) | 4.51221 | − | 0.0323430i | 0.210383 | − | 0.00150800i | ||||
\(461\) | −19.0526 | − | 21.7254i | −0.887370 | − | 1.01185i | −0.999834 | − | 0.0181959i | \(-0.994208\pi\) |
0.112464 | − | 0.993656i | \(-0.464126\pi\) | |||||||
\(462\) | 31.1073 | + | 6.20751i | 1.44724 | + | 0.288800i | ||||
\(463\) | 12.2444 | − | 3.28089i | 0.569048 | − | 0.152476i | 0.0371879 | − | 0.999308i | \(-0.488160\pi\) |
0.531860 | + | 0.846832i | \(0.321493\pi\) | |||||||
\(464\) | −2.80709 | − | 35.1084i | −0.130316 | − | 1.62986i | ||||
\(465\) | −0.0879668 | − | 3.08286i | −0.00407936 | − | 0.142964i | ||||
\(466\) | 20.6851 | − | 22.2445i | 0.958220 | − | 1.03046i | ||||
\(467\) | 3.30068 | + | 16.5936i | 0.152737 | + | 0.767861i | 0.978886 | + | 0.204409i | \(0.0655272\pi\) |
−0.826148 | + | 0.563452i | \(0.809473\pi\) | |||||||
\(468\) | 0.906205 | − | 13.5704i | 0.0418893 | − | 0.627290i | ||||
\(469\) | −11.7072 | + | 7.82250i | −0.540588 | + | 0.361210i | ||||
\(470\) | −2.05218 | + | 3.32671i | −0.0946601 | + | 0.153450i | ||||
\(471\) | 7.08853 | − | 1.13977i | 0.326622 | − | 0.0525178i | ||||
\(472\) | −5.93793 | − | 9.32390i | −0.273315 | − | 0.429167i | ||||
\(473\) | −52.9522 | + | 40.6316i | −2.43474 | + | 1.86825i | ||||
\(474\) | 29.1973 | + | 3.86215i | 1.34107 | + | 0.177395i | ||||
\(475\) | −16.9117 | + | 5.74076i | −0.775963 | + | 0.263404i | ||||
\(476\) | −1.21901 | − | 5.90678i | −0.0558732 | − | 0.270737i | ||||
\(477\) | 0.0395858 | − | 4.71409i | 0.00181251 | − | 0.215843i | ||||
\(478\) | −2.67996 | − | 3.24178i | −0.122579 | − | 0.148276i | ||||
\(479\) | −18.7062 | + | 10.8000i | −0.854707 | + | 0.493465i | −0.862236 | − | 0.506506i | \(-0.830937\pi\) |
0.00752915 | + | 0.999972i | \(0.497603\pi\) | |||||||
\(480\) | 1.68557 | − | 3.53962i | 0.0769354 | − | 0.161561i | ||||
\(481\) | 9.35806 | + | 5.40288i | 0.426691 | + | 0.246350i | ||||
\(482\) | −2.24094 | − | 13.2770i | −0.102072 | − | 0.604749i | ||||
\(483\) | −21.2647 | − | 6.54821i | −0.967579 | − | 0.297954i | ||||
\(484\) | −42.5461 | − | 2.48249i | −1.93391 | − | 0.112840i | ||||
\(485\) | −0.783405 | + | 3.93844i | −0.0355726 | + | 0.178835i | ||||
\(486\) | −19.2809 | + | 10.6887i | −0.874598 | + | 0.484848i | ||||
\(487\) | −25.1046 | − | 10.3987i | −1.13760 | − | 0.471209i | −0.267242 | − | 0.963630i | \(-0.586112\pi\) |
−0.870357 | + | 0.492421i | \(0.836112\pi\) | |||||||
\(488\) | 8.90121 | + | 3.24135i | 0.402939 | + | 0.146729i | ||||
\(489\) | 1.52181 | + | 1.87029i | 0.0688185 | + | 0.0845772i | ||||
\(490\) | −0.0298351 | + | 1.02353i | −0.00134781 | + | 0.0462383i | ||||
\(491\) | −1.00162 | − | 15.2818i | −0.0452026 | − | 0.689659i | −0.958985 | − | 0.283455i | \(-0.908519\pi\) |
0.913783 | − | 0.406203i | \(-0.133147\pi\) | |||||||
\(492\) | −20.3524 | + | 9.29447i | −0.917556 | + | 0.419027i | ||||
\(493\) | 8.76262 | − | 7.68461i | 0.394649 | − | 0.346097i | ||||
\(494\) | −11.3075 | + | 3.47438i | −0.508747 | + | 0.156320i | ||||
\(495\) | −1.38728 | + | 6.68066i | −0.0623537 | + | 0.300273i | ||||
\(496\) | −6.57546 | + | 16.5413i | −0.295247 | + | 0.742728i | ||||
\(497\) | 2.22169 | − | 8.29147i | 0.0996565 | − | 0.371923i | ||||
\(498\) | −14.6360 | − | 12.8513i | −0.655853 | − | 0.575881i | ||||
\(499\) | −1.91436 | + | 5.63952i | −0.0856984 | + | 0.252459i | −0.981328 | − | 0.192341i | \(-0.938392\pi\) |
0.895630 | + | 0.444800i | \(0.146725\pi\) | |||||||
\(500\) | 7.59137 | − | 2.09253i | 0.339496 | − | 0.0935810i | ||||
\(501\) | 13.2101 | + | 35.5504i | 0.590183 | + | 1.58827i | ||||
\(502\) | 7.28081 | − | 1.72518i | 0.324959 | − | 0.0769987i | ||||
\(503\) | −0.0523749 | − | 0.126444i | −0.00233528 | − | 0.00563787i | 0.922708 | − | 0.385501i | \(-0.125971\pi\) |
−0.925043 | + | 0.379863i | \(0.875971\pi\) | |||||||
\(504\) | −13.1817 | + | 14.1406i | −0.587161 | + | 0.629871i | ||||
\(505\) | 1.04213 | − | 2.51592i | 0.0463741 | − | 0.111957i | ||||
\(506\) | 44.7467 | + | 7.22307i | 1.98923 | + | 0.321105i | ||||
\(507\) | −11.1017 | + | 7.88506i | −0.493045 | + | 0.350188i | ||||
\(508\) | −8.75377 | + | 10.1273i | −0.388386 | + | 0.449326i | ||||
\(509\) | 2.28920 | − | 1.12891i | 0.101467 | − | 0.0500379i | −0.390847 | − | 0.920456i | \(-0.627818\pi\) |
0.492314 | + | 0.870418i | \(0.336151\pi\) | |||||||
\(510\) | 1.27256 | − | 0.252315i | 0.0563500 | − | 0.0111727i | ||||
\(511\) | 16.4566 | + | 28.5037i | 0.727999 | + | 1.26093i | ||||
\(512\) | −17.0192 | + | 14.9113i | −0.752150 | + | 0.658992i | ||||
\(513\) | 14.6674 | + | 12.3497i | 0.647583 | + | 0.545251i | ||||
\(514\) | 2.84636 | − | 30.0015i | 0.125547 | − | 1.32331i | ||||
\(515\) | −0.495931 | + | 7.56645i | −0.0218533 | + | 0.333417i | ||||
\(516\) | −4.10718 | − | 40.4687i | −0.180809 | − | 1.78154i | ||||
\(517\) | −25.8880 | + | 29.5196i | −1.13855 | + | 1.29827i | ||||
\(518\) | −5.46174 | − | 14.3552i | −0.239975 | − | 0.630732i | ||||
\(519\) | −0.170462 | − | 0.380458i | −0.00748244 | − | 0.0167003i | ||||
\(520\) | 2.49197 | − | 0.609367i | 0.109280 | − | 0.0267225i | ||||
\(521\) | −14.7760 | − | 35.6725i | −0.647350 | − | 1.56284i | −0.816559 | − | 0.577262i | \(-0.804121\pi\) |
0.169209 | − | 0.985580i | \(-0.445879\pi\) | |||||||
\(522\) | −36.3397 | − | 8.65787i | −1.59055 | − | 0.378945i | ||||
\(523\) | −4.29786 | − | 6.43220i | −0.187932 | − | 0.281260i | 0.725524 | − | 0.688196i | \(-0.241597\pi\) |
−0.913457 | + | 0.406936i | \(0.866597\pi\) | |||||||
\(524\) | 7.47940 | − | 28.7358i | 0.326739 | − | 1.25533i | ||||
\(525\) | −19.0855 | − | 0.705024i | −0.832960 | − | 0.0307698i | ||||
\(526\) | 6.50737 | − | 4.07896i | 0.283735 | − | 0.177851i | ||||
\(527\) | −5.68967 | + | 1.52454i | −0.247846 | + | 0.0664101i | ||||
\(528\) | 22.6127 | − | 32.2414i | 0.984093 | − | 1.40313i | ||||
\(529\) | −8.49378 | − | 2.27590i | −0.369295 | − | 0.0989522i | ||||
\(530\) | 0.849999 | − | 0.261175i | 0.0369216 | − | 0.0113447i | ||||
\(531\) | −11.3503 | + | 2.93937i | −0.492560 | + | 0.127558i | ||||
\(532\) | 15.5797 | + | 6.32287i | 0.675465 | + | 0.274131i | ||||
\(533\) | −13.1309 | − | 6.47545i | −0.568763 | − | 0.280483i | ||||
\(534\) | 1.57322 | − | 5.85692i | 0.0680797 | − | 0.253454i | ||||
\(535\) | 0.434401 | − | 3.29960i | 0.0187808 | − | 0.142654i | ||||
\(536\) | 3.03272 | + | 17.2152i | 0.130994 | + | 0.743584i | ||||
\(537\) | 2.84141 | − | 27.6583i | 0.122616 | − | 1.19355i | ||||
\(538\) | −19.0954 | + | 13.7874i | −0.823262 | + | 0.594418i | ||||
\(539\) | −2.00663 | + | 10.0880i | −0.0864315 | + | 0.434521i | ||||
\(540\) | −3.01951 | − | 2.85900i | −0.129939 | − | 0.123032i | ||||
\(541\) | 7.92903 | − | 11.8666i | 0.340896 | − | 0.510186i | −0.620924 | − | 0.783871i | \(-0.713242\pi\) |
0.961820 | + | 0.273685i | \(0.0882424\pi\) | |||||||
\(542\) | −2.49238 | − | 0.927883i | −0.107057 | − | 0.0398560i | ||||
\(543\) | −32.4965 | + | 9.70890i | −1.39456 | + | 0.416649i | ||||
\(544\) | −7.32141 | − | 1.56935i | −0.313903 | − | 0.0672852i | ||||
\(545\) | −0.304871 | − | 0.176017i | −0.0130592 | − | 0.00753974i | ||||
\(546\) | −12.6222 | − | 0.835098i | −0.540182 | − | 0.0357389i | ||||
\(547\) | −5.47420 | − | 0.358798i | −0.234060 | − | 0.0153411i | −0.0520782 | − | 0.998643i | \(-0.516585\pi\) |
−0.181982 | + | 0.983302i | \(0.558251\pi\) | |||||||
\(548\) | 5.57307 | + | 27.0047i | 0.238070 | + | 1.15358i | ||||
\(549\) | 6.18334 | − | 7.91969i | 0.263898 | − | 0.338004i | ||||
\(550\) | 38.7045 | − | 3.95217i | 1.65037 | − | 0.168521i | ||||
\(551\) | 4.24098 | + | 32.2134i | 0.180672 | + | 1.37234i | ||||
\(552\) | −18.0768 | + | 20.8871i | −0.769398 | + | 0.889016i | ||||
\(553\) | 3.57548 | − | 27.1584i | 0.152045 | − | 1.15489i | ||||
\(554\) | 18.4234 | + | 0.537029i | 0.782736 | + | 0.0228162i | ||||
\(555\) | 3.09689 | − | 1.15076i | 0.131455 | − | 0.0488472i | ||||
\(556\) | −4.60449 | + | 6.09058i | −0.195274 | + | 0.258298i | ||||
\(557\) | −0.906351 | − | 4.55653i | −0.0384033 | − | 0.193067i | 0.956821 | − | 0.290676i | \(-0.0938803\pi\) |
−0.995225 | + | 0.0976098i | \(0.968880\pi\) | |||||||
\(558\) | 14.5367 | + | 12.0475i | 0.615388 | + | 0.510013i | ||||
\(559\) | 18.8211 | − | 18.8211i | 0.796048 | − | 0.796048i | ||||
\(560\) | −3.29314 | − | 1.56572i | −0.139161 | − | 0.0661636i | ||||
\(561\) | 13.0263 | − | 0.371694i | 0.549972 | − | 0.0156929i | ||||
\(562\) | 2.56100 | + | 4.08570i | 0.108029 | + | 0.172345i | ||||
\(563\) | −7.82050 | + | 23.0384i | −0.329595 | + | 0.970955i | 0.648215 | + | 0.761458i | \(0.275516\pi\) |
−0.977809 | + | 0.209497i | \(0.932817\pi\) | |||||||
\(564\) | −7.01400 | − | 22.8773i | −0.295343 | − | 0.963308i | ||||
\(565\) | −2.64824 | + | 5.37011i | −0.111412 | + | 0.225922i | ||||
\(566\) | −14.0654 | − | 4.21169i | −0.591211 | − | 0.177031i | ||||
\(567\) | 9.95251 | + | 17.9269i | 0.417966 | + | 0.752861i | ||||
\(568\) | −8.31008 | − | 6.67169i | −0.348683 | − | 0.279938i | ||||
\(569\) | 16.3278 | − | 2.14960i | 0.684498 | − | 0.0901158i | 0.219746 | − | 0.975557i | \(-0.429477\pi\) |
0.464751 | + | 0.885441i | \(0.346144\pi\) | |||||||
\(570\) | −1.38610 | + | 3.34054i | −0.0580574 | + | 0.139920i | ||||
\(571\) | −7.08994 | + | 8.08452i | −0.296705 | + | 0.338327i | −0.880914 | − | 0.473276i | \(-0.843071\pi\) |
0.584210 | + | 0.811603i | \(0.301405\pi\) | |||||||
\(572\) | 25.7012 | − | 1.86965i | 1.07462 | − | 0.0781740i | ||||
\(573\) | −45.2824 | + | 10.3581i | −1.89170 | + | 0.432717i | ||||
\(574\) | 8.65638 | + | 18.9243i | 0.361310 | + | 0.789886i | ||||
\(575\) | −27.2901 | −1.13807 | ||||||||
\(576\) | 9.47421 | + | 22.0508i | 0.394759 | + | 0.918785i | ||||
\(577\) | −16.7349 | −0.696684 | −0.348342 | − | 0.937367i | \(-0.613255\pi\) | ||||
−0.348342 | + | 0.937367i | \(0.613255\pi\) | |||||||
\(578\) | 8.96989 | + | 19.6097i | 0.373098 | + | 0.815656i | ||||
\(579\) | −15.5313 | − | 16.7228i | −0.645461 | − | 0.694977i | ||||
\(580\) | −0.511242 | − | 7.02781i | −0.0212282 | − | 0.291814i | ||||
\(581\) | −11.9446 | + | 13.6202i | −0.495545 | + | 0.565061i | ||||
\(582\) | −14.9528 | − | 19.5117i | −0.619815 | − | 0.808787i | ||||
\(583\) | 8.85572 | − | 1.16588i | 0.366767 | − | 0.0482857i | ||||
\(584\) | 40.6192 | − | 4.44209i | 1.68083 | − | 0.183815i | ||||
\(585\) | 0.200756 | − | 2.71359i | 0.00830022 | − | 0.112193i | ||||
\(586\) | −9.72886 | − | 2.91318i | −0.401895 | − | 0.120342i | ||||
\(587\) | −16.0033 | + | 32.4514i | −0.660526 | + | 1.33941i | 0.266289 | + | 0.963893i | \(0.414203\pi\) |
−0.926814 | + | 0.375520i | \(0.877464\pi\) | |||||||
\(588\) | −4.58780 | − | 4.27144i | −0.189198 | − | 0.176151i | ||||
\(589\) | 5.27839 | − | 15.5496i | 0.217492 | − | 0.640712i | ||||
\(590\) | −1.17457 | − | 1.87386i | −0.0483564 | − | 0.0771455i | ||||
\(591\) | 6.75933 | − | 12.5191i | 0.278041 | − | 0.514967i | ||||
\(592\) | −19.0432 | − | 0.974231i | −0.782672 | − | 0.0400406i | ||||
\(593\) | −0.0279938 | + | 0.0279938i | −0.00114957 | + | 0.00114957i | −0.707681 | − | 0.706532i | \(-0.750259\pi\) |
0.706532 | + | 0.707681i | \(0.250259\pi\) | |||||||
\(594\) | −25.1281 | − | 33.3658i | −1.03102 | − | 1.36902i | ||||
\(595\) | −0.235405 | − | 1.18346i | −0.00965065 | − | 0.0485171i | ||||
\(596\) | −23.5030 | − | 17.7683i | −0.962722 | − | 0.727819i | ||||
\(597\) | 22.4926 | + | 18.6178i | 0.920562 | + | 0.761977i | ||||
\(598\) | −18.0678 | − | 0.526664i | −0.738848 | − | 0.0215369i | ||||
\(599\) | −1.52297 | + | 11.5681i | −0.0622270 | + | 0.472661i | 0.931752 | + | 0.363094i | \(0.118280\pi\) |
−0.993979 | + | 0.109567i | \(0.965054\pi\) | |||||||
\(600\) | −10.3473 | + | 21.3336i | −0.422428 | + | 0.870941i | ||||
\(601\) | −6.09035 | − | 46.2608i | −0.248431 | − | 1.88702i | −0.428770 | − | 0.903414i | \(-0.641053\pi\) |
0.180339 | − | 0.983605i | \(-0.442281\pi\) | |||||||
\(602\) | −37.6374 | + | 3.84321i | −1.53399 | + | 0.156637i | ||||
\(603\) | 18.3611 | + | 2.57431i | 0.747720 | + | 0.104834i | ||||
\(604\) | 17.8249 | − | 3.67860i | 0.725284 | − | 0.149680i | ||||
\(605\) | −8.50823 | − | 0.557659i | −0.345909 | − | 0.0226720i | ||||
\(606\) | 7.36409 | + | 14.9561i | 0.299146 | + | 0.607549i | ||||
\(607\) | 38.8071 | + | 22.4053i | 1.57513 | + | 0.909402i | 0.995524 | + | 0.0945056i | \(0.0301270\pi\) |
0.579606 | + | 0.814897i | \(0.303206\pi\) | |||||||
\(608\) | 14.9772 | − | 14.5401i | 0.607404 | − | 0.589680i | ||||
\(609\) | −8.03187 | + | 33.8044i | −0.325468 | + | 1.36982i | ||||
\(610\) | 1.77613 | + | 0.661230i | 0.0719134 | + | 0.0267724i | ||||
\(611\) | 8.69897 | − | 13.0189i | 0.351923 | − | 0.526690i | ||||
\(612\) | −3.97941 | + | 6.87302i | −0.160858 | + | 0.277825i | ||||
\(613\) | 0.468268 | − | 2.35414i | 0.0189132 | − | 0.0950830i | −0.970176 | − | 0.242402i | \(-0.922065\pi\) |
0.989089 | + | 0.147319i | \(0.0470645\pi\) | |||||||
\(614\) | −26.1731 | + | 18.8977i | −1.05626 | + | 0.762650i | ||||
\(615\) | −4.08503 | + | 1.83027i | −0.164724 | + | 0.0738036i | ||||
\(616\) | −30.0005 | − | 21.0136i | −1.20875 | − | 0.846661i | ||||
\(617\) | −4.58963 | + | 34.8617i | −0.184772 | + | 1.40348i | 0.607988 | + | 0.793946i | \(0.291977\pi\) |
−0.792760 | + | 0.609534i | \(0.791356\pi\) | |||||||
\(618\) | −32.8031 | − | 32.8434i | −1.31953 | − | 1.32116i | ||||
\(619\) | 10.0576 | + | 4.95987i | 0.404250 | + | 0.199354i | 0.633035 | − | 0.774123i | \(-0.281809\pi\) |
−0.228786 | + | 0.973477i | \(0.573475\pi\) | |||||||
\(620\) | −1.33921 | + | 3.29984i | −0.0537839 | + | 0.132525i | ||||
\(621\) | 15.1572 | + | 25.0735i | 0.608236 | + | 1.00617i | ||||
\(622\) | −35.9252 | + | 11.0385i | −1.44047 | + | 0.442605i | ||||
\(623\) | −5.44839 | − | 1.45989i | −0.218285 | − | 0.0584893i | ||||
\(624\) | −7.26232 | + | 13.9246i | −0.290726 | + | 0.557429i | ||||
\(625\) | −21.8532 | + | 5.85554i | −0.874127 | + | 0.234222i | ||||
\(626\) | −9.27045 | + | 5.81091i | −0.370522 | + | 0.232251i | ||||
\(627\) | −19.3137 | + | 30.7702i | −0.771316 | + | 1.22884i | ||||
\(628\) | −8.02295 | − | 2.08822i | −0.320151 | − | 0.0833292i | ||||
\(629\) | −3.50560 | − | 5.24650i | −0.139777 | − | 0.209191i | ||||
\(630\) | −2.65742 | + | 2.81006i | −0.105874 | + | 0.111956i | ||||
\(631\) | −12.0567 | − | 29.1075i | −0.479971 | − | 1.15875i | −0.959622 | − | 0.281293i | \(-0.909237\pi\) |
0.479651 | − | 0.877459i | \(-0.340763\pi\) | |||||||
\(632\) | −29.0709 | − | 17.6469i | −1.15638 | − | 0.701955i | ||||
\(633\) | 10.6025 | − | 14.6654i | 0.421413 | − | 0.582897i | ||||
\(634\) | −15.2804 | − | 40.1618i | −0.606861 | − | 1.59503i | ||||
\(635\) | −1.76580 | + | 2.01351i | −0.0700738 | + | 0.0799039i | ||||
\(636\) | −2.23186 | + | 4.96499i | −0.0884991 | + | 0.196875i | ||||
\(637\) | 0.268270 | − | 4.09301i | 0.0106293 | − | 0.162171i | ||||
\(638\) | 6.68519 | − | 70.4639i | 0.264669 | − | 2.78969i | ||||
\(639\) | −9.45076 | + | 6.20065i | −0.373866 | + | 0.245294i | ||||
\(640\) | −3.42625 | + | 2.95875i | −0.135434 | + | 0.116955i | ||||
\(641\) | 2.42707 | + | 4.20381i | 0.0958636 | + | 0.166041i | 0.909969 | − | 0.414677i | \(-0.136105\pi\) |
−0.814105 | + | 0.580718i | \(0.802772\pi\) | |||||||
\(642\) | 13.4238 | + | 15.3259i | 0.529795 | + | 0.604865i | ||||
\(643\) | −13.3789 | + | 6.59776i | −0.527614 | + | 0.260190i | −0.686530 | − | 0.727102i | \(-0.740867\pi\) |
0.158916 | + | 0.987292i | \(0.449200\pi\) | |||||||
\(644\) | 19.4374 | + | 16.8012i | 0.765939 | + | 0.662059i | ||||
\(645\) | −0.763651 | − | 8.10207i | −0.0300687 | − | 0.319019i | ||||
\(646\) | 6.81927 | + | 1.10077i | 0.268300 | + | 0.0433094i | ||||
\(647\) | 13.9808 | − | 33.7526i | 0.549641 | − | 1.32695i | −0.368106 | − | 0.929784i | \(-0.619994\pi\) |
0.917747 | − | 0.397166i | \(-0.130006\pi\) | |||||||
\(648\) | 25.3479 | − | 2.34199i | 0.995759 | − | 0.0920019i | ||||
\(649\) | −8.50126 | − | 20.5239i | −0.333704 | − | 0.805632i | ||||
\(650\) | −15.0972 | + | 3.57726i | −0.592160 | + | 0.140312i | ||||
\(651\) | 11.1970 | − | 13.5274i | 0.438847 | − | 0.530181i | ||||
\(652\) | −0.739864 | − | 2.68410i | −0.0289753 | − | 0.105118i | ||||
\(653\) | 9.10891 | − | 26.8340i | 0.356459 | − | 1.05009i | −0.609807 | − | 0.792550i | \(-0.708753\pi\) |
0.966266 | − | 0.257545i | \(-0.0829136\pi\) | |||||||
\(654\) | 2.04111 | − | 0.691466i | 0.0798138 | − | 0.0270384i | ||||
\(655\) | 1.53754 | − | 5.73817i | 0.0600766 | − | 0.224209i | ||||
\(656\) | 25.8329 | − | 0.370354i | 1.00860 | − | 0.0144599i | ||||
\(657\) | 8.81186 | − | 42.4348i | 0.343783 | − | 1.65554i | ||||
\(658\) | −21.2741 | + | 6.53676i | −0.829349 | + | 0.254830i | ||||
\(659\) | 34.8785 | − | 30.5876i | 1.35867 | − | 1.19152i | 0.396839 | − | 0.917888i | \(-0.370107\pi\) |
0.961833 | − | 0.273636i | \(-0.0882262\pi\) | |||||||
\(660\) | 4.57015 | − | 6.41779i | 0.177893 | − | 0.249812i | ||||
\(661\) | −2.09324 | − | 31.9367i | −0.0814178 | − | 1.24219i | −0.821708 | − | 0.569908i | \(-0.806979\pi\) |
0.740291 | − | 0.672287i | \(-0.234688\pi\) | |||||||
\(662\) | 0.482671 | − | 16.5586i | 0.0187595 | − | 0.643568i | ||||
\(663\) | −5.13096 | + | 0.825011i | −0.199270 | + | 0.0320408i | ||||
\(664\) | 9.50171 | + | 20.3848i | 0.368738 | + | 0.791085i | ||||
\(665\) | 3.10781 | + | 1.28730i | 0.120516 | + | 0.0499192i | ||||
\(666\) | −7.21522 | + | 18.8940i | −0.279584 | + | 0.732129i | ||||
\(667\) | −9.68587 | + | 48.6941i | −0.375038 | + | 1.88544i | ||||
\(668\) | 2.55087 | − | 43.7181i | 0.0986962 | − | 1.69150i | ||||
\(669\) | 0.548477 | + | 2.39777i | 0.0212053 | + | 0.0927030i | ||||
\(670\) | 0.582041 | + | 3.44843i | 0.0224862 | + | 0.133224i | ||||
\(671\) | 16.4868 | + | 9.51867i | 0.636467 | + | 0.367464i | ||||
\(672\) | 20.5040 | − | 8.82452i | 0.790957 | − | 0.340413i | ||||
\(673\) | −14.4487 | + | 8.34194i | −0.556955 | + | 0.321558i | −0.751922 | − | 0.659252i | \(-0.770873\pi\) |
0.194968 | + | 0.980810i | \(0.437540\pi\) | |||||||
\(674\) | 20.4364 | + | 24.7206i | 0.787180 | + | 0.952202i | ||||
\(675\) | 18.1372 | + | 17.4214i | 0.698103 | + | 0.670549i | ||||
\(676\) | 15.3990 | − | 3.17797i | 0.592271 | − | 0.122230i | ||||
\(677\) | 7.88054 | − | 2.67508i | 0.302874 | − | 0.102812i | −0.165866 | − | 0.986148i | \(-0.553042\pi\) |
0.468739 | + | 0.883337i | \(0.344708\pi\) | |||||||
\(678\) | −14.0062 | − | 33.8728i | −0.537905 | − | 1.30088i | ||||
\(679\) | −18.1392 | + | 13.9187i | −0.696119 | + | 0.534151i | ||||
\(680\) | −1.46247 | − | 0.324463i | −0.0560833 | − | 0.0124426i | ||||
\(681\) | −7.16450 | + | 18.7959i | −0.274544 | + | 0.720259i | ||||
\(682\) | −18.7812 | + | 30.4454i | −0.719170 | + | 1.16582i | ||||
\(683\) | 31.1078 | − | 20.7856i | 1.19031 | − | 0.795338i | 0.207188 | − | 0.978301i | \(-0.433569\pi\) |
0.983120 | + | 0.182963i | \(0.0585688\pi\) | |||||||
\(684\) | −9.76802 | − | 19.8691i | −0.373490 | − | 0.759715i | ||||
\(685\) | 1.07622 | + | 5.41055i | 0.0411204 | + | 0.206726i | ||||
\(686\) | −19.3286 | + | 20.7857i | −0.737970 | + | 0.793604i | ||||
\(687\) | −10.8590 | + | 6.68950i | −0.414297 | + | 0.255220i | ||||
\(688\) | −14.4587 | + | 44.6885i | −0.551231 | + | 1.70373i | ||||
\(689\) | −3.44066 | + | 0.921923i | −0.131079 | + | 0.0351225i | ||||
\(690\) | −3.64639 | + | 4.15276i | −0.138816 | + | 0.158093i | ||||
\(691\) | −24.2748 | − | 27.6801i | −0.923455 | − | 1.05300i | −0.998441 | − | 0.0558143i | \(-0.982225\pi\) |
0.0749860 | − | 0.997185i | \(-0.476109\pi\) | |||||||
\(692\) | 0.00345050 | + | 0.481383i | 0.000131168 | + | 0.0182994i | ||||
\(693\) | −31.0190 | + | 23.3906i | −1.17832 | + | 0.888534i | ||||
\(694\) | −20.0181 | − | 5.99417i | −0.759877 | − | 0.227536i | ||||
\(695\) | −0.929908 | + | 1.21188i | −0.0352734 | + | 0.0459692i | ||||
\(696\) | 34.3934 | + | 26.0347i | 1.30368 | + | 0.986843i | ||||
\(697\) | 5.20450 | + | 6.78264i | 0.197135 | + | 0.256911i | ||||
\(698\) | 24.3213 | − | 9.25353i | 0.920574 | − | 0.350251i | ||||
\(699\) | 3.49102 | + | 37.0385i | 0.132043 | + | 1.40093i | ||||
\(700\) | 19.8482 | + | 9.61180i | 0.750191 | + | 0.363292i | ||||
\(701\) | 19.0077 | + | 12.7006i | 0.717912 | + | 0.479693i | 0.860086 | − | 0.510148i | \(-0.170410\pi\) |
−0.142175 | + | 0.989842i | \(0.545410\pi\) | |||||||
\(702\) | 11.6718 | + | 11.8841i | 0.440525 | + | 0.448537i | ||||
\(703\) | 17.5907 | 0.663445 | ||||||||
\(704\) | −38.8828 | + | 23.5780i | −1.46545 | + | 0.888629i | ||||
\(705\) | −1.37042 | − | 4.58689i | −0.0516128 | − | 0.172752i | ||||
\(706\) | −5.11569 | + | 7.19325i | −0.192532 | + | 0.270721i | ||||
\(707\) | 13.9064 | − | 6.85786i | 0.523002 | − | 0.257916i | ||||
\(708\) | 13.3642 | + | 2.16569i | 0.502256 | + | 0.0813916i | ||||
\(709\) | 4.12263 | + | 12.1449i | 0.154828 | + | 0.456110i | 0.996472 | − | 0.0839232i | \(-0.0267450\pi\) |
−0.841644 | + | 0.540033i | \(0.818412\pi\) | |||||||
\(710\) | −1.65295 | − | 1.34666i | −0.0620341 | − | 0.0505391i | ||||
\(711\) | −27.3181 | + | 23.5545i | −1.02451 | + | 0.883363i | ||||
\(712\) | −4.38402 | + | 5.46062i | −0.164298 | + | 0.204645i | ||||
\(713\) | 15.2751 | − | 19.9069i | 0.572057 | − | 0.745520i | ||||
\(714\) | 6.39484 | + | 3.69730i | 0.239321 | + | 0.138368i | ||||
\(715\) | 5.14447 | − | 0.337187i | 0.192392 | − | 0.0126101i | ||||
\(716\) | −15.8529 | + | 27.9183i | −0.592450 | + | 1.04335i | ||||
\(717\) | 5.14790 | + | 0.190165i | 0.192252 | + | 0.00710183i | ||||
\(718\) | 14.1063 | − | 0.512406i | 0.526441 | − | 0.0191228i | ||||
\(719\) | −20.2878 | − | 20.2878i | −0.756607 | − | 0.756607i | 0.219097 | − | 0.975703i | \(-0.429689\pi\) |
−0.975703 | + | 0.219097i | \(0.929689\pi\) | |||||||
\(720\) | 1.86379 | + | 4.42508i | 0.0694594 | + | 0.164913i | ||||
\(721\) | −30.5287 | + | 30.5287i | −1.13695 | + | 1.13695i | ||||
\(722\) | 5.18445 | − | 5.57530i | 0.192945 | − | 0.207491i | ||||
\(723\) | 13.9674 | + | 8.76702i | 0.519453 | + | 0.326049i | ||||
\(724\) | 38.8633 | + | 4.83332i | 1.44434 | + | 0.179629i | ||||
\(725\) | 2.78720 | + | 42.5245i | 0.103514 | + | 1.57932i | ||||
\(726\) | 36.9314 | − | 36.8860i | 1.37065 | − | 1.36897i | ||||
\(727\) | −24.4468 | − | 18.7587i | −0.906683 | − | 0.695722i | 0.0462416 | − | 0.998930i | \(-0.485276\pi\) |
−0.952924 | + | 0.303208i | \(0.901942\pi\) | |||||||
\(728\) | 12.9553 | + | 6.74669i | 0.480156 | + | 0.250049i | ||||
\(729\) | 5.93280 | − | 26.3401i | 0.219733 | − | 0.975560i | ||||
\(730\) | 8.13266 | − | 0.830437i | 0.301003 | − | 0.0307358i | ||||
\(731\) | −14.7179 | + | 4.99606i | −0.544362 | + | 0.184786i | ||||
\(732\) | −10.2158 | + | 5.49951i | −0.377586 | + | 0.203268i | ||||
\(733\) | −13.1156 | − | 26.5958i | −0.484436 | − | 0.982340i | −0.992640 | − | 0.121103i | \(-0.961357\pi\) |
0.508204 | − | 0.861237i | \(-0.330310\pi\) | |||||||
\(734\) | 43.0146 | − | 7.26020i | 1.58770 | − | 0.267979i | ||||
\(735\) | −0.911710 | − | 0.861124i | −0.0336289 | − | 0.0317630i | ||||
\(736\) | 28.8129 | − | 13.6824i | 1.06206 | − | 0.504340i | ||||
\(737\) | 35.1291i | 1.29400i | ||||||||
\(738\) | 8.08072 | − | 26.1842i | 0.297455 | − | 0.963853i | ||||
\(739\) | −15.8763 | + | 23.7605i | −0.584018 | + | 0.874045i | −0.999365 | − | 0.0356177i | \(-0.988660\pi\) |
0.415347 | + | 0.909663i | \(0.363660\pi\) | |||||||
\(740\) | −3.80840 | − | 0.222213i | −0.139999 | − | 0.00816871i | ||||
\(741\) | 6.03455 | − | 13.1712i | 0.221685 | − | 0.483854i | ||||
\(742\) | 4.61919 | + | 2.07301i | 0.169576 | + | 0.0761024i | ||||
\(743\) | −0.105018 | + | 0.0805831i | −0.00385274 | + | 0.00295631i | −0.610686 | − | 0.791873i | \(-0.709106\pi\) |
0.606833 | + | 0.794829i | \(0.292440\pi\) | |||||||
\(744\) | −9.77021 | − | 19.4890i | −0.358193 | − | 0.714502i | ||||
\(745\) | −4.67654 | − | 3.58844i | −0.171335 | − | 0.131470i | ||||
\(746\) | 44.5232 | − | 24.0037i | 1.63011 | − | 0.878838i | ||||
\(747\) | 23.6760 | − | 2.91497i | 0.866261 | − | 0.106653i | ||||
\(748\) | −13.9431 | − | 5.65868i | −0.509810 | − | 0.206902i | ||||
\(749\) | 14.2469 | − | 12.4942i | 0.520570 | − | 0.456527i | ||||
\(750\) | −4.27085 | + | 8.64703i | −0.155950 | + | 0.315745i | ||||
\(751\) | −10.6665 | − | 39.8080i | −0.389227 | − | 1.45262i | −0.831394 | − | 0.555683i | \(-0.812457\pi\) |
0.442167 | − | 0.896933i | \(-0.354210\pi\) | |||||||
\(752\) | −3.21339 | + | 27.4426i | −0.117180 | + | 1.00073i | ||||
\(753\) | −4.35380 | + | 8.06376i | −0.158661 | + | 0.293860i | ||||
\(754\) | 1.02464 | + | 28.2078i | 0.0373153 | + | 1.02727i | ||||
\(755\) | 3.57132 | − | 0.710381i | 0.129974 | − | 0.0258534i | ||||
\(756\) | −2.19276 | − | 23.5746i | −0.0797499 | − | 0.857400i | ||||
\(757\) | 27.4857 | + | 41.1352i | 0.998984 | + | 1.49509i | 0.863527 | + | 0.504303i | \(0.168250\pi\) |
0.135457 | + | 0.990783i | \(0.456750\pi\) | |||||||
\(758\) | 25.9177 | − | 6.14118i | 0.941373 | − | 0.223058i | ||||
\(759\) | −43.0594 | + | 35.0364i | −1.56296 | + | 1.27174i | ||||
\(760\) | 3.01719 | − | 2.88742i | 0.109445 | − | 0.104738i | ||||
\(761\) | −7.89381 | − | 10.2874i | −0.286150 | − | 0.372919i | 0.628055 | − | 0.778169i | \(-0.283851\pi\) |
−0.914206 | + | 0.405250i | \(0.867184\pi\) | |||||||
\(762\) | −2.12994 | − | 16.2557i | −0.0771597 | − | 0.588883i | ||||
\(763\) | −0.644296 | − | 1.89803i | −0.0233251 | − | 0.0687134i | ||||
\(764\) | 52.6812 | + | 10.0869i | 1.90594 | + | 0.364933i | ||||
\(765\) | −0.805978 | + | 1.36931i | −0.0291402 | + | 0.0495076i | ||||
\(766\) | 3.89125 | − | 41.0150i | 0.140597 | − | 1.48193i | ||||
\(767\) | 4.42952 | + | 7.67216i | 0.159941 | + | 0.277025i | ||||
\(768\) | 0.228695 | − | 27.7119i | 0.00825231 | − | 0.999966i | ||||
\(769\) | 12.9017 | − | 22.3464i | 0.465248 | − | 0.805833i | −0.533965 | − | 0.845507i | \(-0.679299\pi\) |
0.999213 | + | 0.0396737i | \(0.0126318\pi\) | |||||||
\(770\) | −5.97177 | − | 4.24700i | −0.215208 | − | 0.153051i | ||||
\(771\) | 25.1175 | + | 27.0443i | 0.904583 | + | 0.973978i | ||||
\(772\) | 8.64967 | + | 24.8935i | 0.311308 | + | 0.895935i | ||||
\(773\) | 7.69797 | + | 1.53122i | 0.276877 | + | 0.0550742i | 0.331575 | − | 0.943429i | \(-0.392420\pi\) |
−0.0546988 | + | 0.998503i | \(0.517420\pi\) | |||||||
\(774\) | 40.3546 | + | 29.2127i | 1.45052 | + | 1.05003i | ||||
\(775\) | 8.24222 | − | 19.8985i | 0.296069 | − | 0.714775i | ||||
\(776\) | 6.74247 | + | 27.5729i | 0.242041 | + | 0.989810i | ||||
\(777\) | 17.5774 | + | 6.70004i | 0.630584 | + | 0.240363i | ||||
\(778\) | 3.54436 | + | 3.75719i | 0.127071 | + | 0.134702i | ||||
\(779\) | −23.7827 | + | 1.55880i | −0.852102 | + | 0.0558497i | ||||
\(780\) | −1.47287 | + | 2.77534i | −0.0527372 | + | 0.0993730i | ||||
\(781\) | −14.1209 | − | 16.1018i | −0.505284 | − | 0.576166i | ||||
\(782\) | 9.32644 | + | 4.94220i | 0.333513 | + | 0.176733i | ||||
\(783\) | 37.5226 | − | 26.1794i | 1.34095 | − | 0.935574i | ||||
\(784\) | 2.86550 | + | 6.64678i | 0.102339 | + | 0.237385i | ||||
\(785\) | −1.60208 | − | 0.429276i | −0.0571806 | − | 0.0153215i | ||||
\(786\) | 20.1856 | + | 30.2502i | 0.719998 | + | 1.07899i | ||||
\(787\) | −15.2025 | − | 5.16056i | −0.541911 | − | 0.183954i | 0.0370436 | − | 0.999314i | \(-0.488206\pi\) |
−0.578955 | + | 0.815360i | \(0.696539\pi\) | |||||||
\(788\) | −12.9614 | + | 10.0941i | −0.461731 | + | 0.359586i | ||||
\(789\) | −1.57117 | + | 9.27400i | −0.0559352 | + | 0.330163i | ||||
\(790\) | −5.79062 | − | 3.57213i | −0.206021 | − | 0.127091i | ||||
\(791\) | −31.4970 | + | 13.0465i | −1.11990 | + | 0.463879i | ||||
\(792\) | 11.0628 | + | 46.9455i | 0.393098 | + | 1.66814i | ||||
\(793\) | −7.01398 | − | 2.90529i | −0.249074 | − | 0.103170i | ||||
\(794\) | 22.2075 | − | 16.0344i | 0.788115 | − | 0.569041i | ||||
\(795\) | −0.453627 | + | 0.990096i | −0.0160885 | + | 0.0351151i | ||||
\(796\) | −15.1283 | − | 30.1307i | −0.536207 | − | 1.06795i | ||||
\(797\) | 0.925057 | + | 1.87583i | 0.0327672 | + | 0.0664453i | 0.912641 | − | 0.408762i | \(-0.134040\pi\) |
−0.879874 | + | 0.475208i | \(0.842373\pi\) | |||||||
\(798\) | −18.4746 | + | 9.09655i | −0.653994 | + | 0.322014i | ||||
\(799\) | −7.91822 | + | 4.57159i | −0.280126 | + | 0.161731i | ||||
\(800\) | 20.8493 | − | 17.7452i | 0.737134 | − | 0.627388i | ||||
\(801\) | 4.07450 | + | 6.21017i | 0.143965 | + | 0.219426i | ||||
\(802\) | 5.05893 | + | 6.11946i | 0.178637 | + | 0.216086i | ||||
\(803\) | 81.9409 | + | 5.37069i | 2.89163 | + | 0.189527i | ||||
\(804\) | −18.2140 | − | 11.2513i | −0.642357 | − | 0.396803i | ||||
\(805\) | 3.86455 | + | 3.38912i | 0.136207 | + | 0.119451i | ||||
\(806\) | 5.84091 | − | 13.0150i | 0.205737 | − | 0.458435i | ||||
\(807\) | 2.94791 | − | 28.6950i | 0.103771 | − | 1.01011i | ||||
\(808\) | −0.836649 | − | 19.2315i | −0.0294332 | − | 0.676563i | ||||
\(809\) | 21.3004 | − | 8.82290i | 0.748881 | − | 0.310197i | 0.0245960 | − | 0.999697i | \(-0.492170\pi\) |
0.724285 | + | 0.689501i | \(0.242170\pi\) | |||||||
\(810\) | 5.07446 | − | 0.432189i | 0.178298 | − | 0.0151856i | ||||
\(811\) | 12.4224 | − | 8.30037i | 0.436209 | − | 0.291465i | −0.318011 | − | 0.948087i | \(-0.603015\pi\) |
0.754220 | + | 0.656621i | \(0.228015\pi\) | |||||||
\(812\) | 24.1951 | − | 32.0040i | 0.849081 | − | 1.12312i | ||||
\(813\) | 2.87902 | − | 1.52336i | 0.100972 | − | 0.0534267i | ||||
\(814\) | −37.3500 | − | 8.56779i | −1.30912 | − | 0.300301i | ||||
\(815\) | −0.144168 | − | 0.538044i | −0.00505000 | − | 0.0188468i | ||||
\(816\) | 7.39972 | − | 5.41692i | 0.259042 | − | 0.189630i | ||||
\(817\) | 11.2146 | − | 41.8535i | 0.392349 | − | 1.46427i | ||||
\(818\) | −12.2835 | + | 23.1803i | −0.429484 | + | 0.810481i | ||||
\(819\) | 11.0467 | − | 10.8627i | 0.386003 | − | 0.379574i | ||||
\(820\) | 5.16866 | − | 0.0370484i | 0.180498 | − | 0.00129379i | ||||
\(821\) | −8.02933 | + | 16.2819i | −0.280226 | + | 0.568241i | −0.990793 | − | 0.135388i | \(-0.956772\pi\) |
0.710567 | + | 0.703629i | \(0.248438\pi\) | |||||||
\(822\) | −29.2360 | − | 16.9034i | −1.01972 | − | 0.589573i | ||||
\(823\) | −12.9879 | − | 1.70989i | −0.452731 | − | 0.0596031i | −0.0992868 | − | 0.995059i | \(-0.531656\pi\) |
−0.353444 | + | 0.935456i | \(0.614989\pi\) | |||||||
\(824\) | 19.4189 | + | 49.9588i | 0.676490 | + | 1.74040i | ||||
\(825\) | −27.9172 | + | 38.6150i | −0.971954 | + | 1.34440i | ||||
\(826\) | 2.00666 | − | 12.4312i | 0.0698206 | − | 0.432536i | ||||
\(827\) | −16.4315 | − | 3.26843i | −0.571379 | − | 0.113654i | −0.0990589 | − | 0.995082i | \(-0.531583\pi\) |
−0.472320 | + | 0.881427i | \(0.656583\pi\) | |||||||
\(828\) | −4.37464 | − | 33.5474i | −0.152029 | − | 1.16585i | ||||
\(829\) | −35.0164 | − | 23.3972i | −1.21617 | − | 0.812619i | −0.229178 | − | 0.973385i | \(-0.573604\pi\) |
−0.986993 | + | 0.160766i | \(0.948604\pi\) | |||||||
\(830\) | 1.87168 | + | 4.09182i | 0.0649671 | + | 0.142029i | ||||
\(831\) | −15.5002 | + | 16.4107i | −0.537694 | + | 0.569281i | ||||
\(832\) | 14.1461 | − | 11.3461i | 0.490427 | − | 0.393357i | ||||
\(833\) | −1.19760 | + | 2.07430i | −0.0414944 | + | 0.0718704i | ||||
\(834\) | −1.81869 | − | 9.17263i | −0.0629760 | − | 0.317622i | ||||
\(835\) | 0.573020 | − | 8.74259i | 0.0198302 | − | 0.302550i | ||||
\(836\) | 34.7118 | − | 23.5553i | 1.20053 | − | 0.814678i | ||||
\(837\) | −22.8601 | + | 3.47903i | −0.790162 | + | 0.120253i | ||||
\(838\) | 21.6295 | + | 17.6215i | 0.747179 | + | 0.608725i | ||||
\(839\) | −52.0650 | + | 6.85449i | −1.79748 | + | 0.236643i | −0.953852 | − | 0.300278i | \(-0.902921\pi\) |
−0.843632 | + | 0.536921i | \(0.819587\pi\) | |||||||
\(840\) | 4.11468 | − | 1.73603i | 0.141970 | − | 0.0598988i | ||||
\(841\) | 48.1146 | + | 6.33441i | 1.65912 | + | 0.218428i | ||||
\(842\) | −12.8196 | + | 12.0934i | −0.441794 | + | 0.416768i | ||||
\(843\) | −5.82275 | − | 0.986471i | −0.200546 | − | 0.0339759i | ||||
\(844\) | −18.0213 | + | 10.5775i | −0.620317 | + | 0.364093i | ||||
\(845\) | 3.08529 | − | 0.613703i | 0.106137 | − | 0.0211120i | ||||
\(846\) | 26.6354 | + | 12.2232i | 0.915743 | + | 0.420242i | ||||
\(847\) | −34.3286 | − | 34.3286i | −1.17954 | − | 1.17954i | ||||
\(848\) | 4.66593 | − | 4.21175i | 0.160229 | − | 0.144632i | ||||
\(849\) | 15.3102 | − | 9.43161i | 0.525446 | − | 0.323692i | ||||
\(850\) | 8.83058 | + | 2.02566i | 0.302887 | + | 0.0694797i | ||||
\(851\) | 25.4528 | + | 8.64005i | 0.872510 | + | 0.296177i | ||||
\(852\) | 12.8712 | − | 2.16433i | 0.440962 | − | 0.0741487i | ||||
\(853\) | 39.2691 | + | 19.3654i | 1.34455 | + | 0.663059i | 0.965034 | − | 0.262126i | \(-0.0844237\pi\) |
0.379516 | + | 0.925185i | \(0.376090\pi\) | |||||||
\(854\) | 5.12091 | + | 9.49851i | 0.175234 | + | 0.325032i | ||||
\(855\) | −1.92570 | − | 3.98903i | −0.0658576 | − | 0.136422i | ||||
\(856\) | −7.07070 | − | 22.4376i | −0.241671 | − | 0.766903i | ||||
\(857\) | 2.88391 | + | 21.9054i | 0.0985123 | + | 0.748275i | 0.967398 | + | 0.253262i | \(0.0815035\pi\) |
−0.868885 | + | 0.495013i | \(0.835163\pi\) | |||||||
\(858\) | −19.2283 | + | 25.0269i | −0.656442 | + | 0.854404i | ||||
\(859\) | 35.2038 | + | 30.8729i | 1.20114 | + | 1.05337i | 0.997230 | + | 0.0743800i | \(0.0236978\pi\) |
0.203908 | + | 0.978990i | \(0.434636\pi\) | |||||||
\(860\) | −2.95669 | + | 8.91965i | −0.100822 | + | 0.304158i | ||||
\(861\) | −24.3584 | − | 7.50086i | −0.830132 | − | 0.255629i | ||||
\(862\) | 7.00992 | − | 18.8293i | 0.238759 | − | 0.641330i | ||||
\(863\) | − | 32.3097i | − | 1.09984i | −0.835219 | − | 0.549918i | \(-0.814659\pi\) | ||
0.835219 | − | 0.549918i | \(-0.185341\pi\) | |||||||
\(864\) | −27.8839 | − | 9.30004i | −0.948628 | − | 0.316394i | ||||
\(865\) | 0.0963104i | 0.00327465i | ||||||||
\(866\) | 6.49894 | + | 2.41947i | 0.220843 | + | 0.0822170i | ||||
\(867\) | −25.2406 | − | 7.77252i | −0.857215 | − | 0.263969i | ||||
\(868\) | −18.1211 | + | 9.09837i | −0.615069 | + | 0.308819i | ||||
\(869\) | −51.3833 | − | 45.0619i | −1.74306 | − | 1.52862i | ||||
\(870\) | 6.84342 | + | 5.25783i | 0.232014 | + | 0.178257i | ||||
\(871\) | −1.82855 | − | 13.8892i | −0.0619582 | − | 0.470619i | ||||
\(872\) | −2.47894 | − | 0.217271i | −0.0839475 | − | 0.00735771i | ||||
\(873\) | 30.0251 | + | 2.22130i | 1.01620 | + | 0.0751797i | ||||
\(874\) | −25.9007 | + | 13.9638i | −0.876105 | + | 0.472332i | ||||
\(875\) | 8.04500 | + | 3.96736i | 0.271971 | + | 0.134121i | ||||
\(876\) | −29.0290 | + | 40.7651i | −0.980801 | + | 1.37732i | ||||
\(877\) | 0.984559 | + | 0.334213i | 0.0332462 | + | 0.0112856i | 0.338013 | − | 0.941141i | \(-0.390245\pi\) |
−0.304767 | + | 0.952427i | \(0.598579\pi\) | |||||||
\(878\) | 5.86350 | − | 25.5611i | 0.197883 | − | 0.862644i | ||||
\(879\) | 10.5899 | − | 6.52375i | 0.357190 | − | 0.220041i | ||||
\(880\) | −7.81271 | + | 4.66126i | −0.263366 | + | 0.157131i | ||||
\(881\) | −0.533431 | − | 0.533431i | −0.0179717 | − | 0.0179717i | 0.698064 | − | 0.716036i | \(-0.254045\pi\) |
−0.716036 | + | 0.698064i | \(0.754045\pi\) | |||||||
\(882\) | 7.64378 | − | 0.715716i | 0.257379 | − | 0.0240994i | ||||
\(883\) | 45.1671 | − | 8.98429i | 1.51999 | − | 0.302346i | 0.636680 | − | 0.771128i | \(-0.280307\pi\) |
0.883314 | + | 0.468783i | \(0.155307\pi\) | |||||||
\(884\) | 5.80733 | + | 1.51154i | 0.195322 | + | 0.0508386i | ||||
\(885\) | 2.67053 | + | 0.452433i | 0.0897690 | + | 0.0152084i | ||||
\(886\) | −13.5612 | − | 14.3755i | −0.455597 | − | 0.482955i | ||||
\(887\) | 26.6914 | + | 3.51400i | 0.896211 | + | 0.117988i | 0.564539 | − | 0.825406i | \(-0.309054\pi\) |
0.331672 | + | 0.943395i | \(0.392387\pi\) | |||||||
\(888\) | 16.4049 | − | 16.6214i | 0.550513 | − | 0.557776i | ||||
\(889\) | −15.1182 | + | 1.99034i | −0.507047 | + | 0.0667540i | ||||
\(890\) | −0.884898 | + | 1.08617i | −0.0296619 | + | 0.0364084i | ||||
\(891\) | 50.9842 | + | 4.20263i | 1.70803 | + | 0.140793i | ||||
\(892\) | 0.534117 | − | 2.78954i | 0.0178836 | − | 0.0934007i | ||||
\(893\) | 1.66707 | − | 25.4346i | 0.0557865 | − | 0.851138i | ||||
\(894\) | 35.3964 | − | 7.01816i | 1.18383 | − | 0.234723i | ||||
\(895\) | −3.21157 | + | 5.56260i | −0.107351 | + | 0.185937i | ||||
\(896\) | −25.7748 | − | 0.196865i | −0.861076 | − | 0.00657678i | ||||
\(897\) | 15.2010 | − | 16.0939i | 0.507546 | − | 0.537361i | ||||
\(898\) | −38.0769 | + | 17.4172i | −1.27064 | + | 0.581219i | ||||
\(899\) | −32.5799 | − | 21.7692i | −1.08660 | − | 0.726043i | ||||
\(900\) | −11.0799 | − | 26.8425i | −0.369330 | − | 0.894751i | ||||
\(901\) | 2.04005 | + | 0.405791i | 0.0679639 | + | 0.0135189i | ||||
\(902\) | 51.2566 | + | 8.27391i | 1.70666 | + | 0.275491i | ||||
\(903\) | 27.1475 | − | 37.5503i | 0.903413 | − | 1.24960i | ||||
\(904\) | −0.929940 | + | 42.3146i | −0.0309293 | + | 1.40736i | ||||
\(905\) | 7.76806 | + | 1.02268i | 0.258219 | + | 0.0339952i | ||||
\(906\) | −11.1574 | + | 19.2977i | −0.370678 | + | 0.641123i | ||||
\(907\) | −11.9064 | + | 24.1437i | −0.395344 | + | 0.801679i | 0.604642 | + | 0.796497i | \(0.293316\pi\) |
−0.999987 | + | 0.00518195i | \(0.998351\pi\) | |||||||
\(908\) | 16.3057 | − | 16.5411i | 0.541124 | − | 0.548937i | ||||
\(909\) | −19.6766 | − | 5.44983i | −0.652633 | − | 0.180760i | ||||
\(910\) | 2.58217 | + | 1.36832i | 0.0855981 | + | 0.0453594i | ||||
\(911\) | −13.3178 | + | 49.7027i | −0.441238 | + | 1.64672i | 0.284444 | + | 0.958693i | \(0.408191\pi\) |
−0.725682 | + | 0.688031i | \(0.758475\pi\) | |||||||
\(912\) | 1.09545 | + | 25.5420i | 0.0362740 | + | 0.845781i | ||||
\(913\) | 11.6981 | + | 43.6578i | 0.387150 | + | 1.44486i | ||||
\(914\) | 0.883591 | − | 3.85189i | 0.0292266 | − | 0.127409i | ||||
\(915\) | −2.05166 | + | 1.08558i | −0.0678257 | + | 0.0358883i | ||||
\(916\) | 14.5870 | − | 2.02689i | 0.481969 | − | 0.0669703i | ||||
\(917\) | 28.1240 | − | 18.7919i | 0.928736 | − | 0.620562i | ||||
\(918\) | −3.04346 | − | 9.23843i | −0.100449 | − | 0.304914i | ||||
\(919\) | −10.0144 | + | 4.14811i | −0.330346 | + | 0.136834i | −0.541691 | − | 0.840578i | \(-0.682216\pi\) |
0.211345 | + | 0.977411i | \(0.432216\pi\) | |||||||
\(920\) | 5.78393 | − | 2.69599i | 0.190690 | − | 0.0888840i | ||||
\(921\) | 4.04054 | − | 39.3307i | 0.133140 | − | 1.29599i | ||||
\(922\) | −37.2831 | − | 16.7320i | −1.22785 | − | 0.551038i | ||||
\(923\) | 6.42120 | + | 5.63124i | 0.211356 | + | 0.185355i | ||||
\(924\) | 43.6575 | − | 10.3163i | 1.43623 | − | 0.339380i | ||||
\(925\) | 23.0226 | + | 1.50898i | 0.756977 | + | 0.0496149i | ||||
\(926\) | 13.8170 | − | 11.4224i | 0.454055 | − | 0.375364i | ||||
\(927\) | 56.7590 | − | 3.24178i | 1.86421 | − | 0.106474i | ||||
\(928\) | −24.2632 | − | 43.5000i | −0.796479 | − | 1.42796i | ||||
\(929\) | −18.3944 | + | 10.6200i | −0.603501 | + | 0.348432i | −0.770418 | − | 0.637539i | \(-0.779952\pi\) |
0.166917 | + | 0.985971i | \(0.446619\pi\) | |||||||
\(930\) | −1.92668 | − | 3.91299i | −0.0631784 | − | 0.128312i | ||||
\(931\) | −2.95330 | − | 5.98869i | −0.0967904 | − | 0.196272i | ||||
\(932\) | 13.5165 | − | 40.7761i | 0.442747 | − | 1.33567i | ||||
\(933\) | 19.1725 | − | 41.8464i | 0.627680 | − | 1.36999i | ||||
\(934\) | 14.0064 | + | 19.3986i | 0.458302 | + | 0.634743i | ||||
\(935\) | −2.78135 | − | 1.15207i | −0.0909597 | − | 0.0376768i | ||||
\(936\) | −6.81759 | − | 17.9853i | −0.222840 | − | 0.587869i | ||||
\(937\) | 45.5930 | − | 18.8852i | 1.48946 | − | 0.616953i | 0.518258 | − | 0.855224i | \(-0.326581\pi\) |
0.971199 | + | 0.238271i | \(0.0765807\pi\) | |||||||
\(938\) | −10.4544 | + | 16.9472i | −0.341348 | + | 0.553344i | ||||
\(939\) | 2.23830 | − | 13.2118i | 0.0730442 | − | 0.431151i | ||||
\(940\) | −0.682225 | + | 5.48557i | −0.0222517 | + | 0.178919i | ||||
\(941\) | −12.0794 | − | 4.10039i | −0.393776 | − | 0.133669i | 0.117527 | − | 0.993070i | \(-0.462503\pi\) |
−0.511302 | + | 0.859401i | \(0.670837\pi\) | |||||||
\(942\) | 8.44575 | − | 5.63577i | 0.275177 | − | 0.183623i | ||||
\(943\) | −35.1779 | − | 9.42589i | −1.14555 | − | 0.306949i | ||||
\(944\) | −13.1215 | − | 8.49796i | −0.427067 | − | 0.276585i | ||||
\(945\) | −0.404878 | − | 4.71948i | −0.0131707 | − | 0.153525i | ||||
\(946\) | −44.1972 | + | 83.4047i | −1.43697 | + | 2.71172i | ||||
\(947\) | −0.562444 | − | 0.641345i | −0.0182770 | − | 0.0208409i | 0.742629 | − | 0.669703i | \(-0.233579\pi\) |
−0.760906 | + | 0.648862i | \(0.775245\pi\) | |||||||
\(948\) | 39.8213 | − | 12.2089i | 1.29334 | − | 0.396526i | ||||
\(949\) | −32.6771 | + | 2.14177i | −1.06074 | + | 0.0695248i | ||||
\(950\) | −18.3723 | + | 17.3316i | −0.596077 | + | 0.562310i | ||||
\(951\) | 49.1764 | + | 18.7448i | 1.59466 | + | 0.607842i | ||||
\(952\) | −5.04249 | − | 6.87934i | −0.163428 | − | 0.222961i | ||||
\(953\) | 0.141403 | − | 0.341376i | 0.00458048 | − | 0.0110583i | −0.921573 | − | 0.388206i | \(-0.873095\pi\) |
0.926153 | + | 0.377147i | \(0.123095\pi\) | |||||||
\(954\) | −2.72224 | − | 6.08587i | −0.0881359 | − | 0.197037i | ||||
\(955\) | 10.5249 | + | 2.09354i | 0.340579 | + | 0.0677454i | ||||
\(956\) | −5.35362 | − | 2.59257i | −0.173148 | − | 0.0838498i | ||||
\(957\) | 58.9930 | + | 63.5186i | 1.90697 | + | 2.05326i | ||||
\(958\) | −17.7039 | + | 24.8937i | −0.571986 | + | 0.804279i | ||||
\(959\) | −15.7050 | + | 27.2019i | −0.507142 | + | 0.878395i | ||||
\(960\) | 0.0854918 | − | 5.54371i | 0.00275924 | − | 0.178923i | ||||
\(961\) | −5.59835 | − | 9.69663i | −0.180592 | − | 0.312795i | ||||
\(962\) | 15.2133 | + | 1.44335i | 0.490497 | + | 0.0465354i | ||||
\(963\) | −24.9515 | − | 0.209526i | −0.804052 | − | 0.00675189i | ||||
\(964\) | −10.6924 | − | 15.7566i | −0.344379 | − | 0.507487i | ||||
\(965\) | 1.69476 | + | 4.99259i | 0.0545562 | + | 0.160717i | ||||
\(966\) | −31.1997 | + | 4.08801i | −1.00383 | + | 0.131530i | ||||
\(967\) | −1.97659 | − | 2.57594i | −0.0635629 | − | 0.0828367i | 0.760490 | − | 0.649350i | \(-0.224959\pi\) |
−0.824053 | + | 0.566513i | \(0.808292\pi\) | |||||||
\(968\) | −56.1771 | + | 21.8359i | −1.80560 | + | 0.701833i | ||||
\(969\) | −6.56212 | + | 5.33945i | −0.210806 | + | 0.171528i | ||||
\(970\) | 1.30936 | + | 5.52591i | 0.0420410 | + | 0.177426i | ||||
\(971\) | −2.42269 | − | 3.62582i | −0.0777479 | − | 0.116358i | 0.790558 | − | 0.612388i | \(-0.209791\pi\) |
−0.868306 | + | 0.496030i | \(0.834791\pi\) | |||||||
\(972\) | −18.5085 | + | 25.0886i | −0.593659 | + | 0.804716i | ||||
\(973\) | −8.53038 | + | 1.69680i | −0.273471 | + | 0.0543968i | ||||
\(974\) | −38.4032 | + | 1.39499i | −1.23052 | + | 0.0446982i | ||||
\(975\) | 9.02784 | − | 16.7207i | 0.289122 | − | 0.535490i | ||||
\(976\) | 13.3542 | − | 1.06774i | 0.427459 | − | 0.0341775i | ||||
\(977\) | −12.8087 | − | 47.8028i | −0.409787 | − | 1.52935i | −0.795052 | − | 0.606541i | \(-0.792556\pi\) |
0.385265 | − | 0.922806i | \(-0.374110\pi\) | |||||||
\(978\) | 3.05736 | + | 1.51006i | 0.0977636 | + | 0.0482864i | ||||
\(979\) | −10.5806 | + | 9.27893i | −0.338157 | + | 0.296556i | ||||
\(980\) | 0.563740 | + | 1.33387i | 0.0180080 | + | 0.0426088i | ||||
\(981\) | −1.03049 | + | 2.42991i | −0.0329011 | + | 0.0775812i | ||||
\(982\) | −10.2780 | − | 19.0640i | −0.327983 | − | 0.608358i | ||||
\(983\) | −46.9792 | − | 36.0484i | −1.49840 | − | 1.14977i | −0.949453 | − | 0.313910i | \(-0.898361\pi\) |
−0.548950 | − | 0.835855i | \(-0.684972\pi\) | |||||||
\(984\) | −20.7066 | + | 23.9259i | −0.660104 | + | 0.762729i | ||||
\(985\) | −2.60754 | + | 2.00083i | −0.0830830 | + | 0.0637518i | ||||
\(986\) | 6.74860 | − | 15.0376i | 0.214919 | − | 0.478895i | ||||
\(987\) | 11.3535 | − | 24.7804i | 0.361386 | − | 0.788770i | ||||
\(988\) | −12.4982 | + | 11.1201i | −0.397619 | + | 0.353777i | ||||
\(989\) | 36.7842 | − | 55.0515i | 1.16967 | − | 1.75053i | ||||
\(990\) | 2.14590 | + | 9.40779i | 0.0682011 | + | 0.298999i | ||||
\(991\) | 42.1881i | 1.34015i | 0.742293 | + | 0.670075i | \(0.233738\pi\) | ||||
−0.742293 | + | 0.670075i | \(0.766262\pi\) | |||||||
\(992\) | 1.27435 | + | 25.1412i | 0.0404607 | + | 0.798235i | ||||
\(993\) | 14.7496 | + | 13.9312i | 0.468064 | + | 0.442094i | ||||
\(994\) | −2.02039 | − | 11.9702i | −0.0640829 | − | 0.379673i | ||||
\(995\) | −2.98335 | − | 6.04965i | −0.0945787 | − | 0.191787i | ||||
\(996\) | −26.3827 | − | 7.91764i | −0.835968 | − | 0.250880i | ||||
\(997\) | 39.5920 | − | 13.4397i | 1.25389 | − | 0.425639i | 0.386049 | − | 0.922478i | \(-0.373839\pi\) |
0.867843 | + | 0.496839i | \(0.165506\pi\) | |||||||
\(998\) | 0.855580 | + | 8.37889i | 0.0270829 | + | 0.265229i | ||||
\(999\) | −11.4005 | − | 21.9907i | −0.360697 | − | 0.695756i |
(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 | 576.2.bm.a.517.82 | yes | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.133.21 | yes | 1504 | |
64.13 | even | 16 | inner | 576.2.bm.a.13.21 | ✓ | 1504 | |
576.205 | even | 48 | inner | 576.2.bm.a.205.82 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.21 | ✓ | 1504 | 64.13 | even | 16 | inner | |
576.2.bm.a.133.21 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.205.82 | yes | 1504 | 576.205 | even | 48 | inner | |
576.2.bm.a.517.82 | yes | 1504 | 1.1 | even | 1 | trivial |