Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(6,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(80))
chi = DirichletCharacter(H, H._module([72, 75]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.t (of order \(80\), degree \(32\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{80})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{80}]$ |
Embedding invariants
Embedding label | 6.4 | ||
Character | \(\chi\) | \(=\) | 187.6 |
Dual form | 187.2.t.a.156.4 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.75467 | − | 0.138096i | −1.24074 | − | 0.0976483i | −0.558953 | − | 0.829199i | \(-0.688797\pi\) |
−0.681787 | + | 0.731551i | \(0.738797\pi\) | |||||||
\(3\) | 2.81986 | + | 1.29997i | 1.62805 | + | 0.750539i | 0.999626 | − | 0.0273355i | \(-0.00870225\pi\) |
0.628419 | + | 0.777875i | \(0.283702\pi\) | |||||||
\(4\) | 1.08442 | + | 0.171756i | 0.542211 | + | 0.0858778i | ||||
\(5\) | 0.649663 | + | 0.824093i | 0.290538 | + | 0.368546i | 0.908660 | − | 0.417536i | \(-0.137106\pi\) |
−0.618122 | + | 0.786082i | \(0.712106\pi\) | |||||||
\(6\) | −4.76840 | − | 2.67043i | −1.94669 | − | 1.09020i | ||||
\(7\) | 1.37212 | − | 3.71929i | 0.518612 | − | 1.40576i | −0.362115 | − | 0.932134i | \(-0.617945\pi\) |
0.880726 | − | 0.473625i | \(-0.157055\pi\) | |||||||
\(8\) | 1.54385 | + | 0.370644i | 0.545832 | + | 0.131043i | ||||
\(9\) | 4.31333 | + | 5.05026i | 1.43778 | + | 1.68342i | ||||
\(10\) | −1.02614 | − | 1.53573i | −0.324494 | − | 0.485640i | ||||
\(11\) | −3.30374 | − | 0.292069i | −0.996115 | − | 0.0880620i | ||||
\(12\) | 2.83464 | + | 1.89404i | 0.818289 | + | 0.546764i | ||||
\(13\) | 0.356084 | − | 0.698855i | 0.0987600 | − | 0.193827i | −0.836340 | − | 0.548211i | \(-0.815309\pi\) |
0.935100 | + | 0.354383i | \(0.115309\pi\) | |||||||
\(14\) | −2.92123 | + | 6.33664i | −0.780732 | + | 1.69354i | ||||
\(15\) | 0.760658 | + | 3.16837i | 0.196401 | + | 0.818069i | ||||
\(16\) | −4.74616 | − | 1.54212i | −1.18654 | − | 0.385530i | ||||
\(17\) | 2.82847 | + | 2.99996i | 0.686004 | + | 0.727598i | ||||
\(18\) | −6.87105 | − | 9.45719i | −1.61952 | − | 2.22908i | ||||
\(19\) | −5.66483 | + | 3.47141i | −1.29960 | + | 0.796397i | −0.988095 | − | 0.153847i | \(-0.950834\pi\) |
−0.311507 | + | 0.950244i | \(0.600834\pi\) | |||||||
\(20\) | 0.562966 | + | 1.00525i | 0.125883 | + | 0.224780i | ||||
\(21\) | 8.70415 | − | 8.70415i | 1.89940 | − | 1.89940i | ||||
\(22\) | 5.75664 | + | 0.968716i | 1.22732 | + | 0.206531i | ||||
\(23\) | 3.97077 | + | 0.789835i | 0.827962 | + | 0.164692i | 0.590841 | − | 0.806788i | \(-0.298796\pi\) |
0.237121 | + | 0.971480i | \(0.423796\pi\) | |||||||
\(24\) | 3.87160 | + | 3.05212i | 0.790286 | + | 0.623011i | ||||
\(25\) | 0.910159 | − | 3.79108i | 0.182032 | − | 0.758217i | ||||
\(26\) | −0.721319 | + | 1.17709i | −0.141462 | + | 0.230846i | ||||
\(27\) | 3.06924 | + | 10.8827i | 0.590675 | + | 2.09438i | ||||
\(28\) | 2.12676 | − | 3.79761i | 0.401920 | − | 0.717681i | ||||
\(29\) | −0.0160476 | − | 0.408439i | −0.00297997 | − | 0.0758453i | 0.997019 | − | 0.0771542i | \(-0.0245834\pi\) |
−0.999999 | + | 0.00130889i | \(0.999583\pi\) | |||||||
\(30\) | −0.897166 | − | 5.66449i | −0.163799 | − | 1.03419i | ||||
\(31\) | −1.12753 | + | 0.631449i | −0.202511 | + | 0.113412i | −0.586575 | − | 0.809895i | \(-0.699524\pi\) |
0.384064 | + | 0.923306i | \(0.374524\pi\) | |||||||
\(32\) | 5.18127 | + | 2.14615i | 0.915929 | + | 0.379390i | ||||
\(33\) | −8.93639 | − | 5.11836i | −1.55563 | − | 0.890992i | ||||
\(34\) | −4.54875 | − | 5.65454i | −0.780104 | − | 0.969746i | ||||
\(35\) | 3.95645 | − | 1.28553i | 0.668763 | − | 0.217294i | ||||
\(36\) | 3.81005 | + | 6.21744i | 0.635009 | + | 1.03624i | ||||
\(37\) | −1.04968 | + | 1.13554i | −0.172567 | + | 0.186682i | −0.814649 | − | 0.579954i | \(-0.803071\pi\) |
0.642083 | + | 0.766635i | \(0.278071\pi\) | |||||||
\(38\) | 10.4193 | − | 5.30890i | 1.69023 | − | 0.861217i | ||||
\(39\) | 1.91260 | − | 1.50777i | 0.306261 | − | 0.241437i | ||||
\(40\) | 0.697533 | + | 1.51307i | 0.110290 | + | 0.239237i | ||||
\(41\) | −7.68924 | − | 0.302111i | −1.20086 | − | 0.0471818i | −0.569047 | − | 0.822305i | \(-0.692688\pi\) |
−0.631810 | + | 0.775123i | \(0.717688\pi\) | |||||||
\(42\) | −16.4749 | + | 14.0709i | −2.54214 | + | 2.17119i | ||||
\(43\) | −3.81789 | − | 9.21721i | −0.582223 | − | 1.40561i | −0.890793 | − | 0.454410i | \(-0.849850\pi\) |
0.308569 | − | 0.951202i | \(-0.400150\pi\) | |||||||
\(44\) | −3.53248 | − | 0.884161i | −0.532542 | − | 0.133292i | ||||
\(45\) | −1.35967 | + | 6.83554i | −0.202688 | + | 1.01898i | ||||
\(46\) | −6.85831 | − | 1.93424i | −1.01120 | − | 0.285189i | ||||
\(47\) | −9.83707 | + | 1.55804i | −1.43488 | + | 0.227263i | −0.824958 | − | 0.565195i | \(-0.808801\pi\) |
−0.609927 | + | 0.792458i | \(0.708801\pi\) | |||||||
\(48\) | −11.3788 | − | 10.5184i | −1.64239 | − | 1.51821i | ||||
\(49\) | −6.62756 | − | 5.66047i | −0.946794 | − | 0.808639i | ||||
\(50\) | −2.12056 | + | 6.52642i | −0.299893 | + | 0.922975i | ||||
\(51\) | 4.07601 | + | 12.1364i | 0.570756 | + | 1.69944i | ||||
\(52\) | 0.506178 | − | 0.696694i | 0.0701942 | − | 0.0966140i | ||||
\(53\) | −0.115217 | + | 1.46398i | −0.0158263 | + | 0.201092i | 0.983921 | + | 0.178605i | \(0.0571585\pi\) |
−0.999747 | + | 0.0224872i | \(0.992841\pi\) | |||||||
\(54\) | −3.88265 | − | 19.5194i | −0.528362 | − | 2.65625i | ||||
\(55\) | −1.90562 | − | 2.91233i | −0.256954 | − | 0.392699i | ||||
\(56\) | 3.49687 | − | 5.23344i | 0.467289 | − | 0.699348i | ||||
\(57\) | −20.4868 | + | 2.42477i | −2.71354 | + | 0.321168i | ||||
\(58\) | −0.0282454 | + | 0.718893i | −0.00370880 | + | 0.0943952i | ||||
\(59\) | −0.416950 | − | 0.255507i | −0.0542822 | − | 0.0332642i | 0.495093 | − | 0.868840i | \(-0.335134\pi\) |
−0.549375 | + | 0.835576i | \(0.685134\pi\) | |||||||
\(60\) | 0.280689 | + | 3.56649i | 0.0362368 | + | 0.460433i | ||||
\(61\) | 8.55812 | − | 2.41364i | 1.09575 | − | 0.309035i | 0.324708 | − | 0.945814i | \(-0.394734\pi\) |
0.771046 | + | 0.636779i | \(0.219734\pi\) | |||||||
\(62\) | 2.06565 | − | 0.952278i | 0.262338 | − | 0.120939i | ||||
\(63\) | 24.7017 | − | 9.11296i | 3.11213 | − | 1.14812i | ||||
\(64\) | 0.0979161 | + | 0.0498908i | 0.0122395 | + | 0.00623635i | ||||
\(65\) | 0.807256 | − | 0.160573i | 0.100128 | − | 0.0199166i | ||||
\(66\) | 14.9736 | + | 10.2151i | 1.84312 | + | 1.25739i | ||||
\(67\) | − | 6.66078i | − | 0.813744i | −0.913485 | − | 0.406872i | \(-0.866619\pi\) | ||
0.913485 | − | 0.406872i | \(-0.133381\pi\) | |||||||
\(68\) | 2.55199 | + | 3.73903i | 0.309475 | + | 0.453424i | ||||
\(69\) | 10.1702 | + | 7.38911i | 1.22435 | + | 0.889544i | ||||
\(70\) | −7.11980 | + | 1.70931i | −0.850979 | + | 0.204302i | ||||
\(71\) | 0.937316 | − | 7.91935i | 0.111239 | − | 0.939853i | −0.819226 | − | 0.573471i | \(-0.805596\pi\) |
0.930465 | − | 0.366382i | \(-0.119404\pi\) | |||||||
\(72\) | 4.78726 | + | 9.39552i | 0.564184 | + | 1.10727i | ||||
\(73\) | −5.12842 | + | 0.201496i | −0.600236 | + | 0.0235833i | −0.337565 | − | 0.941302i | \(-0.609603\pi\) |
−0.262671 | + | 0.964886i | \(0.584603\pi\) | |||||||
\(74\) | 1.99866 | − | 1.84754i | 0.232339 | − | 0.214772i | ||||
\(75\) | 7.49482 | − | 9.50714i | 0.865428 | − | 1.09779i | ||||
\(76\) | −6.73930 | + | 2.79151i | −0.773051 | + | 0.320208i | ||||
\(77\) | −5.61941 | + | 11.8868i | −0.640391 | + | 1.35463i | ||||
\(78\) | −3.56420 | + | 2.38152i | −0.403566 | + | 0.269654i | ||||
\(79\) | 0.303320 | + | 2.56274i | 0.0341262 | + | 0.288330i | 0.999611 | + | 0.0278729i | \(0.00887338\pi\) |
−0.965485 | + | 0.260457i | \(0.916127\pi\) | |||||||
\(80\) | −1.81255 | − | 4.91314i | −0.202649 | − | 0.549305i | ||||
\(81\) | −2.37550 | + | 14.9983i | −0.263945 | + | 1.66648i | ||||
\(82\) | 13.4504 | + | 1.59196i | 1.48534 | + | 0.175802i | ||||
\(83\) | −6.72156 | + | 7.86994i | −0.737787 | + | 0.863838i | −0.994724 | − | 0.102591i | \(-0.967287\pi\) |
0.256937 | + | 0.966428i | \(0.417287\pi\) | |||||||
\(84\) | 10.9340 | − | 7.94398i | 1.19299 | − | 0.866760i | ||||
\(85\) | −0.634698 | + | 4.27988i | −0.0688427 | + | 0.464219i | ||||
\(86\) | 5.42629 | + | 16.7004i | 0.585132 | + | 1.80085i | ||||
\(87\) | 0.485708 | − | 1.17260i | 0.0520733 | − | 0.125716i | ||||
\(88\) | −4.99221 | − | 1.67542i | −0.532171 | − | 0.178601i | ||||
\(89\) | 6.36998 | + | 6.36998i | 0.675217 | + | 0.675217i | 0.958914 | − | 0.283697i | \(-0.0915610\pi\) |
−0.283697 | + | 0.958914i | \(0.591561\pi\) | |||||||
\(90\) | 3.32974 | − | 11.8064i | 0.350985 | − | 1.24450i | ||||
\(91\) | −2.11065 | − | 2.28329i | −0.221256 | − | 0.239354i | ||||
\(92\) | 4.17033 | + | 1.53851i | 0.434787 | + | 0.160401i | ||||
\(93\) | −4.00035 | + | 0.314834i | −0.414817 | + | 0.0326468i | ||||
\(94\) | 17.4760 | − | 1.37539i | 1.80251 | − | 0.141861i | ||||
\(95\) | −6.54100 | − | 2.41310i | −0.671092 | − | 0.247579i | ||||
\(96\) | 11.8205 | + | 12.7874i | 1.20643 | + | 1.30510i | ||||
\(97\) | 1.75556 | − | 6.22476i | 0.178250 | − | 0.632028i | −0.819971 | − | 0.572406i | \(-0.806010\pi\) |
0.998221 | − | 0.0596226i | \(-0.0189897\pi\) | |||||||
\(98\) | 10.8475 | + | 10.8475i | 1.09576 | + | 1.09576i | ||||
\(99\) | −12.7751 | − | 17.9445i | −1.28394 | − | 1.80349i | ||||
\(100\) | 1.63814 | − | 3.95481i | 0.163814 | − | 0.395481i | ||||
\(101\) | −2.82178 | − | 8.68455i | −0.280778 | − | 0.864145i | −0.987633 | − | 0.156787i | \(-0.949887\pi\) |
0.706855 | − | 0.707359i | \(-0.250113\pi\) | |||||||
\(102\) | −5.47607 | − | 21.8583i | −0.542212 | − | 2.16429i | ||||
\(103\) | 5.42740 | − | 3.94324i | 0.534778 | − | 0.388539i | −0.287364 | − | 0.957821i | \(-0.592779\pi\) |
0.822142 | + | 0.569283i | \(0.192779\pi\) | |||||||
\(104\) | 0.808765 | − | 0.946943i | 0.0793060 | − | 0.0928554i | ||||
\(105\) | 12.8278 | + | 1.51827i | 1.25186 | + | 0.148168i | ||||
\(106\) | 0.404337 | − | 2.55288i | 0.0392727 | − | 0.247958i | ||||
\(107\) | 1.33965 | + | 3.63128i | 0.129509 | + | 0.351049i | 0.986380 | − | 0.164481i | \(-0.0525950\pi\) |
−0.856871 | + | 0.515530i | \(0.827595\pi\) | |||||||
\(108\) | 1.45919 | + | 12.3286i | 0.140410 | + | 1.18632i | ||||
\(109\) | 0.0900670 | − | 0.0601809i | 0.00862685 | − | 0.00576428i | −0.551249 | − | 0.834341i | \(-0.685849\pi\) |
0.559876 | + | 0.828576i | \(0.310849\pi\) | |||||||
\(110\) | 2.94156 | + | 5.37335i | 0.280467 | + | 0.512329i | ||||
\(111\) | −4.43612 | + | 1.83750i | −0.421058 | + | 0.174408i | ||||
\(112\) | −12.2479 | + | 15.5364i | −1.15732 | + | 1.46805i | ||||
\(113\) | 2.05166 | − | 1.89654i | 0.193004 | − | 0.178411i | −0.576412 | − | 0.817160i | \(-0.695547\pi\) |
0.769416 | + | 0.638748i | \(0.220547\pi\) | |||||||
\(114\) | 36.2824 | − | 1.42554i | 3.39816 | − | 0.133514i | ||||
\(115\) | 1.92876 | + | 3.78541i | 0.179858 | + | 0.352991i | ||||
\(116\) | 0.0527493 | − | 0.445677i | 0.00489765 | − | 0.0413801i | ||||
\(117\) | 5.06530 | − | 1.21607i | 0.468287 | − | 0.112426i | ||||
\(118\) | 0.696325 | + | 0.505910i | 0.0641019 | + | 0.0465728i | ||||
\(119\) | 15.0387 | − | 6.40359i | 1.37860 | − | 0.587016i | ||||
\(120\) | 5.17340i | 0.472265i | ||||||||
\(121\) | 10.8294 | + | 1.92984i | 0.984490 | + | 0.175440i | ||||
\(122\) | −15.3500 | + | 3.05330i | −1.38972 | + | 0.276433i | ||||
\(123\) | −21.2898 | − | 10.8477i | −1.91964 | − | 0.978105i | ||||
\(124\) | −1.33118 | + | 0.491097i | −0.119543 | + | 0.0441018i | ||||
\(125\) | 8.48042 | − | 3.90953i | 0.758512 | − | 0.349679i | ||||
\(126\) | −44.6019 | + | 12.5790i | −3.97345 | + | 1.12063i | ||||
\(127\) | 0.775050 | + | 9.84795i | 0.0687746 | + | 0.873864i | 0.930453 | + | 0.366410i | \(0.119413\pi\) |
−0.861679 | + | 0.507454i | \(0.830587\pi\) | |||||||
\(128\) | −9.72843 | − | 5.96159i | −0.859879 | − | 0.526935i | ||||
\(129\) | 1.21620 | − | 30.9544i | 0.107081 | − | 2.72538i | ||||
\(130\) | −1.43864 | + | 0.170275i | −0.126177 | + | 0.0149341i | ||||
\(131\) | −4.72781 | + | 7.07566i | −0.413070 | + | 0.618203i | −0.978415 | − | 0.206652i | \(-0.933743\pi\) |
0.565344 | + | 0.824855i | \(0.308743\pi\) | |||||||
\(132\) | −8.81171 | − | 7.08534i | −0.766961 | − | 0.616700i | ||||
\(133\) | 5.13837 | + | 25.8323i | 0.445553 | + | 2.23995i | ||||
\(134\) | −0.919825 | + | 11.6875i | −0.0794607 | + | 1.00964i | ||||
\(135\) | −6.97439 | + | 9.59942i | −0.600260 | + | 0.826187i | ||||
\(136\) | 3.25480 | + | 5.67983i | 0.279097 | + | 0.487042i | ||||
\(137\) | 3.15756 | − | 9.71797i | 0.269769 | − | 0.830262i | −0.720788 | − | 0.693156i | \(-0.756220\pi\) |
0.990556 | − | 0.137107i | \(-0.0437803\pi\) | |||||||
\(138\) | −16.8250 | − | 14.3699i | −1.43224 | − | 1.22325i | ||||
\(139\) | −2.45222 | − | 2.26681i | −0.207995 | − | 0.192268i | 0.567962 | − | 0.823055i | \(-0.307732\pi\) |
−0.775956 | + | 0.630787i | \(0.782732\pi\) | |||||||
\(140\) | 4.51126 | − | 0.714514i | 0.381271 | − | 0.0603874i | ||||
\(141\) | −29.7645 | − | 8.39447i | −2.50663 | − | 0.706942i | ||||
\(142\) | −2.73831 | + | 13.7664i | −0.229794 | + | 1.15525i | ||||
\(143\) | −1.38052 | + | 2.20483i | −0.115445 | + | 0.184377i | ||||
\(144\) | −12.6836 | − | 30.6210i | −1.05697 | − | 2.55175i | ||||
\(145\) | 0.326167 | − | 0.278573i | 0.0270867 | − | 0.0231342i | ||||
\(146\) | 9.02651 | + | 0.354652i | 0.747039 | + | 0.0293512i | ||||
\(147\) | −11.3303 | − | 24.5774i | −0.934509 | − | 2.02711i | ||||
\(148\) | −1.33333 | + | 1.05112i | −0.109599 | + | 0.0864011i | ||||
\(149\) | −0.519011 | + | 0.264449i | −0.0425190 | + | 0.0216645i | −0.475121 | − | 0.879921i | \(-0.657596\pi\) |
0.432602 | + | 0.901585i | \(0.357596\pi\) | |||||||
\(150\) | −14.4638 | + | 15.6469i | −1.18097 | + | 1.27756i | ||||
\(151\) | 7.61590 | + | 12.4280i | 0.619773 | + | 1.01138i | 0.996381 | + | 0.0850049i | \(0.0270906\pi\) |
−0.376607 | + | 0.926373i | \(0.622909\pi\) | |||||||
\(152\) | −10.0323 | + | 3.25969i | −0.813726 | + | 0.264396i | ||||
\(153\) | −2.95047 | + | 27.2243i | −0.238531 | + | 2.20095i | ||||
\(154\) | 11.5017 | − | 20.0814i | 0.926835 | − | 1.61821i | ||||
\(155\) | −1.25289 | − | 0.518964i | −0.100634 | − | 0.0416842i | ||||
\(156\) | 2.33303 | − | 1.30656i | 0.186792 | − | 0.104609i | ||||
\(157\) | 2.69517 | + | 17.0166i | 0.215098 | + | 1.35808i | 0.824791 | + | 0.565438i | \(0.191293\pi\) |
−0.609692 | + | 0.792638i | \(0.708707\pi\) | |||||||
\(158\) | −0.178324 | − | 4.53865i | −0.0141867 | − | 0.361075i | ||||
\(159\) | −2.22802 | + | 3.97842i | −0.176694 | + | 0.315509i | ||||
\(160\) | 1.59745 | + | 5.66413i | 0.126289 | + | 0.447789i | ||||
\(161\) | 8.38598 | − | 13.6847i | 0.660908 | − | 1.07850i | ||||
\(162\) | 6.23942 | − | 25.9891i | 0.490215 | − | 2.04189i | ||||
\(163\) | 17.8969 | + | 14.1088i | 1.40179 | + | 1.10508i | 0.980136 | + | 0.198327i | \(0.0635507\pi\) |
0.421655 | + | 0.906756i | \(0.361449\pi\) | |||||||
\(164\) | −8.28649 | − | 1.64829i | −0.647066 | − | 0.128709i | ||||
\(165\) | −1.58763 | − | 10.6896i | −0.123597 | − | 0.832186i | ||||
\(166\) | 12.8809 | − | 12.8809i | 0.999754 | − | 0.999754i | ||||
\(167\) | −0.243323 | − | 0.434485i | −0.0188289 | − | 0.0336215i | 0.862920 | − | 0.505341i | \(-0.168633\pi\) |
−0.881749 | + | 0.471720i | \(0.843633\pi\) | |||||||
\(168\) | 16.6640 | − | 10.2117i | 1.28566 | − | 0.787851i | ||||
\(169\) | 7.27961 | + | 10.0195i | 0.559970 | + | 0.770732i | ||||
\(170\) | 1.70472 | − | 7.42214i | 0.130746 | − | 0.569252i | ||||
\(171\) | −41.9658 | − | 13.6355i | −3.20920 | − | 1.04273i | ||||
\(172\) | −2.55710 | − | 10.6511i | −0.194977 | − | 0.812138i | ||||
\(173\) | −9.85764 | + | 21.3829i | −0.749462 | + | 1.62571i | 0.0302267 | + | 0.999543i | \(0.490377\pi\) |
−0.779689 | + | 0.626167i | \(0.784623\pi\) | |||||||
\(174\) | −1.01419 | + | 1.99046i | −0.0768854 | + | 0.150896i | ||||
\(175\) | −12.8513 | − | 8.58696i | −0.971466 | − | 0.649113i | ||||
\(176\) | 15.2297 | + | 6.48097i | 1.14798 | + | 0.488522i | ||||
\(177\) | −0.843587 | − | 1.26252i | −0.0634079 | − | 0.0948966i | ||||
\(178\) | −10.2976 | − | 12.0569i | −0.771835 | − | 0.903702i | ||||
\(179\) | −20.0598 | − | 4.81593i | −1.49934 | − | 0.359959i | −0.600995 | − | 0.799253i | \(-0.705229\pi\) |
−0.898344 | + | 0.439293i | \(0.855229\pi\) | |||||||
\(180\) | −2.64850 | + | 7.17908i | −0.197408 | + | 0.535097i | ||||
\(181\) | 4.94028 | + | 2.76669i | 0.367208 | + | 0.205646i | 0.661284 | − | 0.750136i | \(-0.270012\pi\) |
−0.294076 | + | 0.955782i | \(0.595012\pi\) | |||||||
\(182\) | 3.38819 | + | 4.29790i | 0.251149 | + | 0.318581i | ||||
\(183\) | 27.2703 | + | 4.31920i | 2.01588 | + | 0.319284i | ||||
\(184\) | 5.83750 | + | 2.69112i | 0.430346 | + | 0.198392i | ||||
\(185\) | −1.61773 | − | 0.127318i | −0.118938 | − | 0.00936061i | ||||
\(186\) | 7.06277 | 0.517868 | ||||||||
\(187\) | −8.46833 | − | 10.7372i | −0.619265 | − | 0.785182i | ||||
\(188\) | −10.9351 | −0.797527 | ||||||||
\(189\) | 44.6873 | + | 3.51696i | 3.25052 | + | 0.255821i | ||||
\(190\) | 11.1441 | + | 5.13748i | 0.808475 | + | 0.372712i | ||||
\(191\) | 2.88451 | + | 0.456861i | 0.208716 | + | 0.0330573i | 0.259917 | − | 0.965631i | \(-0.416305\pi\) |
−0.0512010 | + | 0.998688i | \(0.516305\pi\) | |||||||
\(192\) | 0.211253 | + | 0.267973i | 0.0152459 | + | 0.0193393i | ||||
\(193\) | 3.81936 | + | 2.13894i | 0.274923 | + | 0.153964i | 0.619981 | − | 0.784617i | \(-0.287140\pi\) |
−0.345057 | + | 0.938582i | \(0.612140\pi\) | |||||||
\(194\) | −3.94005 | + | 10.6800i | −0.282879 | + | 0.766776i | ||||
\(195\) | 2.48509 | + | 0.596617i | 0.177961 | + | 0.0427246i | ||||
\(196\) | −6.21485 | − | 7.27666i | −0.443918 | − | 0.519761i | ||||
\(197\) | 8.60792 | + | 12.8827i | 0.613289 | + | 0.917852i | 0.999991 | − | 0.00435281i | \(-0.00138555\pi\) |
−0.386701 | + | 0.922205i | \(0.626386\pi\) | |||||||
\(198\) | 19.9380 | + | 33.2509i | 1.41693 | + | 2.36304i | ||||
\(199\) | −18.9475 | − | 12.6603i | −1.34316 | − | 0.897468i | −0.344017 | − | 0.938963i | \(-0.611788\pi\) |
−0.999139 | + | 0.0414950i | \(0.986788\pi\) | |||||||
\(200\) | 2.81029 | − | 5.51550i | 0.198717 | − | 0.390005i | ||||
\(201\) | 8.65883 | − | 18.7825i | 0.610747 | − | 1.32481i | ||||
\(202\) | 3.75200 | + | 15.6282i | 0.263990 | + | 1.09960i | ||||
\(203\) | −1.54112 | − | 0.500741i | −0.108166 | − | 0.0351451i | ||||
\(204\) | 2.33562 | + | 13.8610i | 0.163526 | + | 0.970467i | ||||
\(205\) | −4.74644 | − | 6.53292i | −0.331506 | − | 0.456279i | ||||
\(206\) | −10.0678 | + | 6.16958i | −0.701460 | + | 0.429855i | ||||
\(207\) | 13.1383 | + | 23.4602i | 0.913178 | + | 1.63060i | ||||
\(208\) | −2.76775 | + | 2.76775i | −0.191909 | + | 0.191909i | ||||
\(209\) | 19.7290 | − | 9.81413i | 1.36469 | − | 0.678857i | ||||
\(210\) | −22.2989 | − | 4.43552i | −1.53877 | − | 0.306080i | ||||
\(211\) | 5.78996 | + | 4.56444i | 0.398597 | + | 0.314229i | 0.798125 | − | 0.602493i | \(-0.205826\pi\) |
−0.399527 | + | 0.916721i | \(0.630826\pi\) | |||||||
\(212\) | −0.376390 | + | 1.56778i | −0.0258506 | + | 0.107675i | ||||
\(213\) | 12.9380 | − | 21.1129i | 0.886499 | − | 1.44664i | ||||
\(214\) | −1.84918 | − | 6.55670i | −0.126407 | − | 0.448206i | ||||
\(215\) | 5.11550 | − | 9.13438i | 0.348874 | − | 0.622959i | ||||
\(216\) | 0.704817 | + | 17.9388i | 0.0479568 | + | 1.22058i | ||||
\(217\) | 0.801433 | + | 5.06005i | 0.0544048 | + | 0.343498i | ||||
\(218\) | −0.166349 | + | 0.0931597i | −0.0112666 | + | 0.00630957i | ||||
\(219\) | −14.7233 | − | 6.09861i | −0.994911 | − | 0.412106i | ||||
\(220\) | −1.56629 | − | 3.48550i | −0.105599 | − | 0.234992i | ||||
\(221\) | 3.10371 | − | 0.908449i | 0.208778 | − | 0.0611089i | ||||
\(222\) | 8.03769 | − | 2.61160i | 0.539454 | − | 0.175279i | ||||
\(223\) | −9.37189 | − | 15.2935i | −0.627588 | − | 1.02413i | −0.995545 | − | 0.0942880i | \(-0.969943\pi\) |
0.367957 | − | 0.929843i | \(-0.380057\pi\) | |||||||
\(224\) | 15.0915 | − | 16.3259i | 1.00834 | − | 1.09082i | ||||
\(225\) | 23.0718 | − | 11.7556i | 1.53812 | − | 0.783710i | ||||
\(226\) | −3.86190 | + | 3.04447i | −0.256890 | + | 0.202515i | ||||
\(227\) | −4.19610 | − | 9.10205i | −0.278505 | − | 0.604124i | 0.717183 | − | 0.696885i | \(-0.245431\pi\) |
−0.995688 | + | 0.0927602i | \(0.970431\pi\) | |||||||
\(228\) | −22.6328 | − | 0.889244i | −1.49889 | − | 0.0588916i | ||||
\(229\) | −8.46189 | + | 7.22714i | −0.559177 | + | 0.477583i | −0.883544 | − | 0.468349i | \(-0.844849\pi\) |
0.324366 | + | 0.945932i | \(0.394849\pi\) | |||||||
\(230\) | −2.86159 | − | 6.90850i | −0.188688 | − | 0.455533i | ||||
\(231\) | −31.2985 | + | 26.2140i | −2.05929 | + | 1.72476i | ||||
\(232\) | 0.126611 | − | 0.636515i | 0.00831240 | − | 0.0417893i | ||||
\(233\) | 9.14585 | + | 2.57940i | 0.599165 | + | 0.168982i | 0.557538 | − | 0.830151i | \(-0.311746\pi\) |
0.0416266 | + | 0.999133i | \(0.486746\pi\) | |||||||
\(234\) | −9.05587 | + | 1.43431i | −0.592001 | + | 0.0937637i | ||||
\(235\) | −7.67475 | − | 7.09446i | −0.500645 | − | 0.462792i | ||||
\(236\) | −0.408265 | − | 0.348691i | −0.0265758 | − | 0.0226978i | ||||
\(237\) | −2.47617 | + | 7.62086i | −0.160844 | + | 0.495028i | ||||
\(238\) | −27.2723 | + | 9.15941i | −1.76780 | + | 0.593716i | ||||
\(239\) | 7.15580 | − | 9.84912i | 0.462870 | − | 0.637086i | −0.512231 | − | 0.858848i | \(-0.671181\pi\) |
0.975101 | + | 0.221762i | \(0.0711807\pi\) | |||||||
\(240\) | 1.27580 | − | 16.2106i | 0.0823527 | − | 1.04639i | ||||
\(241\) | 1.26213 | + | 6.34515i | 0.0813008 | + | 0.408727i | 0.999908 | + | 0.0135552i | \(0.00431489\pi\) |
−0.918607 | + | 0.395172i | \(0.870685\pi\) | |||||||
\(242\) | −18.7355 | − | 4.88172i | −1.20436 | − | 0.313809i | ||||
\(243\) | −7.35010 | + | 11.0002i | −0.471509 | + | 0.705663i | ||||
\(244\) | 9.69516 | − | 1.14750i | 0.620669 | − | 0.0734610i | ||||
\(245\) | 0.359077 | − | 9.13912i | 0.0229406 | − | 0.583877i | ||||
\(246\) | 35.8586 | + | 21.9742i | 2.28626 | + | 1.40102i | ||||
\(247\) | 0.408856 | + | 5.19501i | 0.0260149 | + | 0.330551i | ||||
\(248\) | −1.97478 | + | 0.556946i | −0.125399 | + | 0.0353661i | ||||
\(249\) | −29.1845 | + | 13.4543i | −1.84950 | + | 0.852629i | ||||
\(250\) | −15.4202 | + | 5.68883i | −0.975261 | + | 0.359793i | ||||
\(251\) | −18.3121 | − | 9.33048i | −1.15585 | − | 0.588935i | −0.232387 | − | 0.972623i | \(-0.574654\pi\) |
−0.923463 | + | 0.383689i | \(0.874654\pi\) | |||||||
\(252\) | 28.3523 | − | 5.63963i | 1.78603 | − | 0.355263i | ||||
\(253\) | −12.8877 | − | 3.76914i | −0.810242 | − | 0.236964i | ||||
\(254\) | − | 17.3869i | − | 1.09095i | ||||||
\(255\) | −7.35349 | + | 11.2436i | −0.460493 | + | 0.704100i | ||||
\(256\) | 16.0691 | + | 11.6749i | 1.00432 | + | 0.729680i | ||||
\(257\) | −20.4907 | + | 4.91938i | −1.27817 | + | 0.306862i | −0.815029 | − | 0.579420i | \(-0.803279\pi\) |
−0.463145 | + | 0.886283i | \(0.653279\pi\) | |||||||
\(258\) | −6.40870 | + | 54.1468i | −0.398988 | + | 3.37103i | ||||
\(259\) | 2.78311 | + | 5.46216i | 0.172934 | + | 0.339402i | ||||
\(260\) | 0.902985 | − | 0.0354784i | 0.0560008 | − | 0.00220028i | ||||
\(261\) | 1.99350 | − | 1.84278i | 0.123395 | − | 0.114065i | ||||
\(262\) | 9.27286 | − | 11.7626i | 0.572879 | − | 0.726694i | ||||
\(263\) | 20.6601 | − | 8.55771i | 1.27396 | − | 0.527691i | 0.359793 | − | 0.933032i | \(-0.382847\pi\) |
0.914165 | + | 0.405341i | \(0.132847\pi\) | |||||||
\(264\) | −11.8993 | − | 11.2142i | −0.732352 | − | 0.690185i | ||||
\(265\) | −1.28130 | + | 0.856140i | −0.0787099 | + | 0.0525923i | ||||
\(266\) | −5.44882 | − | 46.0368i | −0.334088 | − | 2.82270i | ||||
\(267\) | 9.68165 | + | 26.2433i | 0.592507 | + | 1.60606i | ||||
\(268\) | 1.14403 | − | 7.22310i | 0.0698825 | − | 0.441221i | ||||
\(269\) | 5.45369 | + | 0.645487i | 0.332517 | + | 0.0393560i | 0.282137 | − | 0.959374i | \(-0.408957\pi\) |
0.0503802 | + | 0.998730i | \(0.483957\pi\) | |||||||
\(270\) | 13.5634 | − | 15.8807i | 0.825442 | − | 0.966468i | ||||
\(271\) | 22.8590 | − | 16.6080i | 1.38858 | − | 1.00887i | 0.392565 | − | 0.919724i | \(-0.371588\pi\) |
0.996019 | − | 0.0891410i | \(-0.0284122\pi\) | |||||||
\(272\) | −8.79806 | − | 18.6001i | −0.533461 | − | 1.12780i | ||||
\(273\) | −2.98352 | − | 9.18234i | −0.180571 | − | 0.555741i | ||||
\(274\) | −6.88249 | + | 16.6158i | −0.415786 | + | 1.00380i | ||||
\(275\) | −4.11418 | + | 12.2589i | −0.248095 | + | 0.739241i | ||||
\(276\) | 9.75970 | + | 9.75970i | 0.587465 | + | 0.587465i | ||||
\(277\) | 0.0782544 | − | 0.277469i | 0.00470185 | − | 0.0166715i | −0.960068 | − | 0.279766i | \(-0.909743\pi\) |
0.964770 | + | 0.263095i | \(0.0847431\pi\) | |||||||
\(278\) | 3.98980 | + | 4.31614i | 0.239292 | + | 0.258865i | ||||
\(279\) | −8.05240 | − | 2.97069i | −0.482085 | − | 0.177850i | ||||
\(280\) | 6.58463 | − | 0.518221i | 0.393507 | − | 0.0309696i | ||||
\(281\) | 27.5381 | − | 2.16729i | 1.64278 | − | 0.129290i | 0.776930 | − | 0.629587i | \(-0.216776\pi\) |
0.865854 | + | 0.500298i | \(0.166776\pi\) | |||||||
\(282\) | 51.0677 | + | 18.8399i | 3.04104 | + | 1.12190i | ||||
\(283\) | −6.41948 | − | 6.94455i | −0.381598 | − | 0.412811i | 0.513918 | − | 0.857839i | \(-0.328194\pi\) |
−0.895516 | + | 0.445028i | \(0.853194\pi\) | |||||||
\(284\) | 2.37664 | − | 8.42692i | 0.141028 | − | 0.500046i | ||||
\(285\) | −15.3077 | − | 15.3077i | −0.906751 | − | 0.906751i | ||||
\(286\) | 2.72684 | − | 3.67811i | 0.161241 | − | 0.217491i | ||||
\(287\) | −11.6742 | + | 28.1840i | −0.689105 | + | 1.66365i | ||||
\(288\) | 11.5099 | + | 35.4238i | 0.678227 | + | 2.08737i | ||||
\(289\) | −0.999540 | + | 16.9706i | −0.0587965 | + | 0.998270i | ||||
\(290\) | −0.610784 | + | 0.443761i | −0.0358665 | + | 0.0260585i | ||||
\(291\) | 13.0424 | − | 15.2707i | 0.764562 | − | 0.895187i | ||||
\(292\) | −5.59597 | − | 0.662327i | −0.327480 | − | 0.0387598i | ||||
\(293\) | −3.78955 | + | 23.9263i | −0.221388 | + | 1.39779i | 0.587214 | + | 0.809431i | \(0.300225\pi\) |
−0.808602 | + | 0.588356i | \(0.799775\pi\) | |||||||
\(294\) | 16.4870 | + | 44.6898i | 0.961539 | + | 2.60636i | ||||
\(295\) | −0.0603150 | − | 0.509599i | −0.00351167 | − | 0.0296700i | ||||
\(296\) | −2.04143 | + | 1.36404i | −0.118656 | + | 0.0792831i | ||||
\(297\) | −6.96147 | − | 36.8500i | −0.403946 | − | 2.13826i | ||||
\(298\) | 0.947212 | − | 0.392348i | 0.0548705 | − | 0.0227281i | ||||
\(299\) | 1.96591 | − | 2.49374i | 0.113691 | − | 0.144217i | ||||
\(300\) | 9.76045 | − | 9.02247i | 0.563520 | − | 0.520913i | ||||
\(301\) | −39.5201 | + | 1.55275i | −2.27790 | + | 0.0894989i | ||||
\(302\) | −11.6471 | − | 22.8588i | −0.670218 | − | 1.31538i | ||||
\(303\) | 3.33265 | − | 28.1574i | 0.191456 | − | 1.61760i | ||||
\(304\) | 32.2395 | − | 7.74003i | 1.84906 | − | 0.443921i | ||||
\(305\) | 7.54895 | + | 5.48463i | 0.432252 | + | 0.314049i | ||||
\(306\) | 8.93666 | − | 47.3622i | 0.510875 | − | 2.70752i | ||||
\(307\) | − | 8.05397i | − | 0.459665i | −0.973230 | − | 0.229832i | \(-0.926182\pi\) | ||
0.973230 | − | 0.229832i | \(-0.0738178\pi\) | |||||||
\(308\) | −8.13543 | + | 11.9252i | −0.463559 | + | 0.679499i | ||||
\(309\) | 20.4306 | − | 4.06390i | 1.16226 | − | 0.231187i | ||||
\(310\) | 2.12674 | + | 1.08363i | 0.120791 | + | 0.0615460i | ||||
\(311\) | −0.712533 | + | 0.262867i | −0.0404040 | + | 0.0149058i | −0.366239 | − | 0.930521i | \(-0.619355\pi\) |
0.325835 | + | 0.945427i | \(0.394355\pi\) | |||||||
\(312\) | 3.51160 | − | 1.61887i | 0.198805 | − | 0.0916505i | ||||
\(313\) | −1.20290 | + | 0.339254i | −0.0679922 | + | 0.0191758i | −0.305267 | − | 0.952267i | \(-0.598746\pi\) |
0.237275 | + | 0.971443i | \(0.423746\pi\) | |||||||
\(314\) | −2.37922 | − | 30.2308i | −0.134267 | − | 1.70602i | ||||
\(315\) | 23.5577 | + | 14.4362i | 1.32733 | + | 0.813387i | ||||
\(316\) | −0.111238 | + | 2.83118i | −0.00625760 | + | 0.159267i | ||||
\(317\) | −1.58705 | + | 0.187839i | −0.0891373 | + | 0.0105501i | −0.161988 | − | 0.986793i | \(-0.551790\pi\) |
0.0728503 | + | 0.997343i | \(0.476790\pi\) | |||||||
\(318\) | 4.45885 | − | 6.67314i | 0.250040 | − | 0.374211i | ||||
\(319\) | −0.0662751 | + | 1.35406i | −0.00371070 | + | 0.0758131i | ||||
\(320\) | 0.0224978 | + | 0.113104i | 0.00125767 | + | 0.00632272i | ||||
\(321\) | −0.942940 | + | 11.9812i | −0.0526298 | + | 0.668725i | ||||
\(322\) | −16.6044 | + | 22.8540i | −0.925329 | + | 1.27361i | ||||
\(323\) | −26.4369 | − | 7.17550i | −1.47099 | − | 0.399255i | ||||
\(324\) | −5.15209 | + | 15.8565i | −0.286227 | + | 0.880917i | ||||
\(325\) | −2.32532 | − | 1.98601i | −0.128986 | − | 0.110164i | ||||
\(326\) | −29.4548 | − | 27.2277i | −1.63135 | − | 1.50800i | ||||
\(327\) | 0.332210 | − | 0.0526168i | 0.0183712 | − | 0.00290972i | ||||
\(328\) | −11.7590 | − | 3.31639i | −0.649283 | − | 0.183117i | ||||
\(329\) | −7.70283 | + | 38.7247i | −0.424671 | + | 2.13496i | ||||
\(330\) | 1.30959 | + | 18.9760i | 0.0720903 | + | 1.04460i | ||||
\(331\) | 12.5594 | + | 30.3210i | 0.690326 | + | 1.66659i | 0.744123 | + | 0.668042i | \(0.232867\pi\) |
−0.0537976 | + | 0.998552i | \(0.517133\pi\) | |||||||
\(332\) | −8.64071 | + | 7.37986i | −0.474221 | + | 0.405023i | ||||
\(333\) | −10.2624 | − | 0.403210i | −0.562375 | − | 0.0220958i | ||||
\(334\) | 0.366952 | + | 0.795980i | 0.0200787 | + | 0.0435541i | ||||
\(335\) | 5.48911 | − | 4.32726i | 0.299902 | − | 0.236424i | ||||
\(336\) | −54.7341 | + | 27.8884i | −2.98599 | + | 1.52144i | ||||
\(337\) | −9.91432 | + | 10.7253i | −0.540067 | + | 0.584242i | −0.943751 | − | 0.330657i | \(-0.892730\pi\) |
0.403684 | + | 0.914899i | \(0.367730\pi\) | |||||||
\(338\) | −11.3897 | − | 18.5862i | −0.619516 | − | 1.01096i | ||||
\(339\) | 8.25085 | − | 2.68086i | 0.448124 | − | 0.145604i | ||||
\(340\) | −1.42337 | + | 4.53219i | −0.0771933 | + | 0.245792i | ||||
\(341\) | 3.90950 | − | 1.75683i | 0.211712 | − | 0.0951375i | ||||
\(342\) | 71.7531 | + | 29.7211i | 3.87997 | + | 1.60713i | ||||
\(343\) | −5.93475 | + | 3.32362i | −0.320446 | + | 0.179459i | ||||
\(344\) | −2.47793 | − | 15.6450i | −0.133601 | − | 0.843524i | ||||
\(345\) | 0.517908 | + | 13.1816i | 0.0278832 | + | 0.709676i | ||||
\(346\) | 20.2498 | − | 36.1586i | 1.08864 | − | 1.94390i | ||||
\(347\) | −2.60419 | − | 9.23374i | −0.139800 | − | 0.495693i | 0.860096 | − | 0.510133i | \(-0.170404\pi\) |
−0.999896 | + | 0.0144392i | \(0.995404\pi\) | |||||||
\(348\) | 0.728113 | − | 1.18817i | 0.0390310 | − | 0.0636927i | ||||
\(349\) | 6.53306 | − | 27.2122i | 0.349707 | − | 1.45663i | −0.469396 | − | 0.882988i | \(-0.655528\pi\) |
0.819103 | − | 0.573646i | \(-0.194472\pi\) | |||||||
\(350\) | 21.3640 | + | 16.8420i | 1.14195 | + | 0.900242i | ||||
\(351\) | 8.69833 | + | 1.73021i | 0.464283 | + | 0.0923516i | ||||
\(352\) | −16.4908 | − | 8.60362i | −0.878960 | − | 0.458575i | ||||
\(353\) | −1.12733 | + | 1.12733i | −0.0600019 | + | 0.0600019i | −0.736471 | − | 0.676469i | \(-0.763509\pi\) |
0.676469 | + | 0.736471i | \(0.263509\pi\) | |||||||
\(354\) | 1.30587 | + | 2.33180i | 0.0694061 | + | 0.123934i | ||||
\(355\) | 7.13522 | − | 4.37247i | 0.378698 | − | 0.232066i | ||||
\(356\) | 5.81367 | + | 8.00183i | 0.308124 | + | 0.424096i | ||||
\(357\) | 50.7315 | + | 1.49271i | 2.68500 | + | 0.0790025i | ||||
\(358\) | 34.5333 | + | 11.2205i | 1.82514 | + | 0.593024i | ||||
\(359\) | 1.92252 | + | 8.00786i | 0.101467 | + | 0.422639i | 0.999863 | − | 0.0165465i | \(-0.00526717\pi\) |
−0.898397 | + | 0.439185i | \(0.855267\pi\) | |||||||
\(360\) | −4.63268 | + | 10.0491i | −0.244164 | + | 0.529632i | ||||
\(361\) | 11.4138 | − | 22.4008i | 0.600726 | − | 1.17899i | ||||
\(362\) | −8.28650 | − | 5.53686i | −0.435529 | − | 0.291011i | ||||
\(363\) | 28.0286 | + | 19.5198i | 1.47112 | + | 1.02452i | ||||
\(364\) | −1.89667 | − | 2.83857i | −0.0994125 | − | 0.148781i | ||||
\(365\) | −3.49779 | − | 4.09539i | −0.183083 | − | 0.214362i | ||||
\(366\) | −47.2540 | − | 11.3447i | −2.47001 | − | 0.592996i | ||||
\(367\) | 4.74720 | − | 12.8678i | 0.247802 | − | 0.671696i | −0.752118 | − | 0.659028i | \(-0.770968\pi\) |
0.999920 | − | 0.0126674i | \(-0.00403227\pi\) | |||||||
\(368\) | −17.6279 | − | 9.87208i | −0.918916 | − | 0.514618i | ||||
\(369\) | −31.6405 | − | 40.1357i | −1.64714 | − | 2.08938i | ||||
\(370\) | 2.82100 | + | 0.446802i | 0.146657 | + | 0.0232282i | ||||
\(371\) | 5.28685 | + | 2.43727i | 0.274480 | + | 0.126537i | ||||
\(372\) | −4.39214 | − | 0.345669i | −0.227722 | − | 0.0179221i | ||||
\(373\) | 32.5008 | 1.68283 | 0.841415 | − | 0.540390i | \(-0.181723\pi\) | ||||
0.841415 | + | 0.540390i | \(0.181723\pi\) | |||||||
\(374\) | 13.3764 | + | 20.0097i | 0.691675 | + | 1.03468i | ||||
\(375\) | 28.9959 | 1.49734 | ||||||||
\(376\) | −15.7644 | − | 1.24068i | −0.812987 | − | 0.0639834i | ||||
\(377\) | −0.291154 | − | 0.134224i | −0.0149952 | − | 0.00691288i | ||||
\(378\) | −77.9257 | − | 12.3422i | −4.00807 | − | 0.634816i | ||||
\(379\) | 2.27995 | + | 2.89210i | 0.117113 | + | 0.148557i | 0.840353 | − | 0.542040i | \(-0.182348\pi\) |
−0.723240 | + | 0.690597i | \(0.757348\pi\) | |||||||
\(380\) | −6.67874 | − | 3.74027i | −0.342612 | − | 0.191872i | ||||
\(381\) | −10.6165 | + | 28.7774i | −0.543901 | + | 1.47431i | ||||
\(382\) | −4.99827 | − | 1.19998i | −0.255734 | − | 0.0613962i | ||||
\(383\) | 11.6053 | + | 13.5880i | 0.593001 | + | 0.694315i | 0.973035 | − | 0.230658i | \(-0.0740877\pi\) |
−0.380034 | + | 0.924973i | \(0.624088\pi\) | |||||||
\(384\) | −19.6829 | − | 29.4575i | −1.00444 | − | 1.50325i | ||||
\(385\) | −13.4466 | + | 3.09150i | −0.685300 | + | 0.157557i | ||||
\(386\) | −6.40633 | − | 4.28058i | −0.326074 | − | 0.217876i | ||||
\(387\) | 30.0815 | − | 59.0382i | 1.52913 | − | 3.00108i | ||||
\(388\) | 2.97291 | − | 6.44873i | 0.150926 | − | 0.327385i | ||||
\(389\) | 7.91844 | + | 32.9827i | 0.401481 | + | 1.67229i | 0.697094 | + | 0.716980i | \(0.254476\pi\) |
−0.295613 | + | 0.955308i | \(0.595524\pi\) | |||||||
\(390\) | −4.27812 | − | 1.39005i | −0.216631 | − | 0.0703877i | ||||
\(391\) | 8.86171 | + | 14.1462i | 0.448156 | + | 0.715402i | ||||
\(392\) | −8.13390 | − | 11.1954i | −0.410824 | − | 0.565451i | ||||
\(393\) | −22.5299 | + | 13.8063i | −1.13648 | + | 0.696438i | ||||
\(394\) | −13.3250 | − | 23.7936i | −0.671305 | − | 1.19870i | ||||
\(395\) | −1.91488 | + | 1.91488i | −0.0963480 | + | 0.0963480i | ||||
\(396\) | −10.7715 | − | 21.6536i | −0.541289 | − | 1.08814i | ||||
\(397\) | −8.47267 | − | 1.68532i | −0.425231 | − | 0.0845837i | −0.0221644 | − | 0.999754i | \(-0.507056\pi\) |
−0.403067 | + | 0.915171i | \(0.632056\pi\) | |||||||
\(398\) | 31.4984 | + | 24.8313i | 1.57887 | + | 1.24468i | ||||
\(399\) | −19.0918 | + | 79.5233i | −0.955788 | + | 3.98114i | ||||
\(400\) | −10.1661 | + | 16.5895i | −0.508304 | + | 0.829476i | ||||
\(401\) | −3.01499 | − | 10.6904i | −0.150562 | − | 0.533851i | −0.999981 | − | 0.00613304i | \(-0.998048\pi\) |
0.849420 | − | 0.527718i | \(-0.176952\pi\) | |||||||
\(402\) | −17.7872 | + | 31.7613i | −0.887144 | + | 1.58411i | ||||
\(403\) | 0.0397942 | + | 1.01283i | 0.00198229 | + | 0.0504527i | ||||
\(404\) | −1.56838 | − | 9.90238i | −0.0780299 | − | 0.492662i | ||||
\(405\) | −13.9033 | + | 7.78621i | −0.690860 | + | 0.386900i | ||||
\(406\) | 2.63501 | + | 1.09146i | 0.130774 | + | 0.0541682i | ||||
\(407\) | 3.79953 | − | 3.44495i | 0.188336 | − | 0.170760i | ||||
\(408\) | 1.79444 | + | 20.2475i | 0.0888381 | + | 1.00240i | ||||
\(409\) | −9.96450 | + | 3.23766i | −0.492713 | + | 0.160092i | −0.544826 | − | 0.838549i | \(-0.683404\pi\) |
0.0521133 | + | 0.998641i | \(0.483404\pi\) | |||||||
\(410\) | 7.42628 | + | 12.1186i | 0.366758 | + | 0.598494i | ||||
\(411\) | 21.5370 | − | 23.2986i | 1.06234 | − | 1.14923i | ||||
\(412\) | 6.56287 | − | 3.34395i | 0.323329 | − | 0.164744i | ||||
\(413\) | −1.52241 | + | 1.20017i | −0.0749128 | + | 0.0590565i | ||||
\(414\) | −19.8137 | − | 42.9793i | −0.973791 | − | 2.11232i | ||||
\(415\) | −10.8523 | − | 0.426388i | −0.532719 | − | 0.0209306i | ||||
\(416\) | 3.34482 | − | 2.85675i | 0.163993 | − | 0.140063i | ||||
\(417\) | −3.96812 | − | 9.57990i | −0.194320 | − | 0.469129i | ||||
\(418\) | −35.9732 | + | 14.4961i | −1.75951 | + | 0.709026i | ||||
\(419\) | 4.31560 | − | 21.6960i | 0.210831 | − | 1.05992i | −0.719863 | − | 0.694117i | \(-0.755795\pi\) |
0.930693 | − | 0.365801i | \(-0.119205\pi\) | |||||||
\(420\) | 13.6500 | + | 3.84969i | 0.666050 | + | 0.187846i | ||||
\(421\) | 35.3345 | − | 5.59644i | 1.72210 | − | 0.272754i | 0.784413 | − | 0.620238i | \(-0.212964\pi\) |
0.937686 | + | 0.347485i | \(0.112964\pi\) | |||||||
\(422\) | −9.52915 | − | 8.80865i | −0.463872 | − | 0.428798i | ||||
\(423\) | −50.2990 | − | 42.9594i | −2.44562 | − | 2.08876i | ||||
\(424\) | −0.720492 | + | 2.21745i | −0.0349902 | + | 0.107689i | ||||
\(425\) | 13.9475 | − | 7.99252i | 0.676551 | − | 0.387694i | ||||
\(426\) | −25.6176 | + | 35.2596i | −1.24118 | + | 1.70833i | ||||
\(427\) | 2.76573 | − | 35.1419i | 0.133843 | − | 1.70064i | ||||
\(428\) | 0.829053 | + | 4.16793i | 0.0400738 | + | 0.201464i | ||||
\(429\) | −6.75910 | + | 4.42267i | −0.326332 | + | 0.213529i | ||||
\(430\) | −10.2374 | + | 15.3214i | −0.493693 | + | 0.738863i | ||||
\(431\) | 16.3007 | − | 1.92931i | 0.785175 | − | 0.0929316i | 0.284625 | − | 0.958639i | \(-0.408131\pi\) |
0.500551 | + | 0.865707i | \(0.333131\pi\) | |||||||
\(432\) | 2.21534 | − | 56.3842i | 0.106586 | − | 2.71278i | ||||
\(433\) | −5.41657 | − | 3.31928i | −0.260304 | − | 0.159514i | 0.386223 | − | 0.922405i | \(-0.373779\pi\) |
−0.646527 | + | 0.762891i | \(0.723779\pi\) | |||||||
\(434\) | −0.707480 | − | 8.98939i | −0.0339601 | − | 0.431504i | ||||
\(435\) | 1.28188 | − | 0.361527i | 0.0614614 | − | 0.0173339i | ||||
\(436\) | 0.108007 | − | 0.0497919i | 0.00517260 | − | 0.00238460i | ||||
\(437\) | −25.2356 | + | 9.30989i | −1.20718 | + | 0.445353i | ||||
\(438\) | 24.9924 | + | 12.7343i | 1.19418 | + | 0.608467i | ||||
\(439\) | −2.63307 | + | 0.523751i | −0.125670 | + | 0.0249973i | −0.257524 | − | 0.966272i | \(-0.582907\pi\) |
0.131855 | + | 0.991269i | \(0.457907\pi\) | |||||||
\(440\) | −1.86255 | − | 5.20250i | −0.0887935 | − | 0.248020i | ||||
\(441\) | − | 57.8863i | − | 2.75649i | ||||||
\(442\) | −5.57144 | + | 1.16542i | −0.265006 | + | 0.0554334i | ||||
\(443\) | −14.5315 | − | 10.5577i | −0.690410 | − | 0.501612i | 0.186385 | − | 0.982477i | \(-0.440323\pi\) |
−0.876795 | + | 0.480864i | \(0.840323\pi\) | |||||||
\(444\) | −5.12623 | + | 1.23070i | −0.243280 | + | 0.0584064i | ||||
\(445\) | −1.11112 | + | 9.38780i | −0.0526721 | + | 0.445024i | ||||
\(446\) | 14.3326 | + | 28.1293i | 0.678669 | + | 1.33196i | ||||
\(447\) | −1.80731 | + | 0.0710095i | −0.0854829 | + | 0.00335863i | ||||
\(448\) | 0.319911 | − | 0.295722i | 0.0151144 | − | 0.0139716i | ||||
\(449\) | −7.07146 | + | 8.97010i | −0.333723 | + | 0.423325i | −0.923116 | − | 0.384521i | \(-0.874367\pi\) |
0.589394 | + | 0.807846i | \(0.299367\pi\) | |||||||
\(450\) | −42.1067 | + | 17.4412i | −1.98493 | + | 0.822185i | ||||
\(451\) | 25.3150 | + | 3.24388i | 1.19204 | + | 0.152748i | ||||
\(452\) | 2.55061 | − | 1.70426i | 0.119971 | − | 0.0801618i | ||||
\(453\) | 5.31967 | + | 44.9457i | 0.249940 | + | 2.11173i | ||||
\(454\) | 6.10583 | + | 16.5506i | 0.286561 | + | 0.776756i | ||||
\(455\) | 0.510432 | − | 3.22274i | 0.0239294 | − | 0.151085i | ||||
\(456\) | −32.5271 | − | 3.84984i | −1.52322 | − | 0.180285i | ||||
\(457\) | 18.8745 | − | 22.0992i | 0.882913 | − | 1.03376i | −0.116265 | − | 0.993218i | \(-0.537092\pi\) |
0.999178 | − | 0.0405396i | \(-0.0129077\pi\) | |||||||
\(458\) | 15.8459 | − | 11.5127i | 0.740429 | − | 0.537953i | ||||
\(459\) | −23.9664 | + | 39.9890i | −1.11866 | + | 1.86653i | ||||
\(460\) | 1.44143 | + | 4.43625i | 0.0672068 | + | 0.206841i | ||||
\(461\) | 10.6656 | − | 25.7491i | 0.496748 | − | 1.19926i | −0.454478 | − | 0.890758i | \(-0.650174\pi\) |
0.951225 | − | 0.308497i | \(-0.0998260\pi\) | |||||||
\(462\) | 58.5385 | − | 41.6748i | 2.72346 | − | 1.93889i | ||||
\(463\) | −16.0713 | − | 16.0713i | −0.746898 | − | 0.746898i | 0.226997 | − | 0.973895i | \(-0.427109\pi\) |
−0.973895 | + | 0.226997i | \(0.927109\pi\) | |||||||
\(464\) | −0.553698 | + | 1.96327i | −0.0257048 | + | 0.0911423i | ||||
\(465\) | −2.85833 | − | 3.09212i | −0.132552 | − | 0.143394i | ||||
\(466\) | −15.6918 | − | 5.78899i | −0.726907 | − | 0.268170i | ||||
\(467\) | 11.0452 | − | 0.869274i | 0.511110 | − | 0.0402252i | 0.179717 | − | 0.983718i | \(-0.442482\pi\) |
0.331392 | + | 0.943493i | \(0.392482\pi\) | |||||||
\(468\) | 5.70179 | − | 0.448741i | 0.263565 | − | 0.0207430i | ||||
\(469\) | −24.7734 | − | 9.13938i | −1.14393 | − | 0.422017i | ||||
\(470\) | 12.4869 | + | 13.5083i | 0.575979 | + | 0.623091i | ||||
\(471\) | −14.5212 | + | 51.4882i | −0.669100 | + | 2.37245i | ||||
\(472\) | −0.549004 | − | 0.549004i | −0.0252699 | − | 0.0252699i | ||||
\(473\) | 9.92127 | + | 31.5664i | 0.456181 | + | 1.45142i | ||||
\(474\) | 5.39727 | − | 13.0302i | 0.247905 | − | 0.598495i | ||||
\(475\) | 8.00453 | + | 24.6354i | 0.367273 | + | 1.13035i | ||||
\(476\) | 17.4082 | − | 4.36121i | 0.797902 | − | 0.199896i | ||||
\(477\) | −7.89042 | + | 5.73272i | −0.361277 | + | 0.262483i | ||||
\(478\) | −13.9162 | + | 16.2938i | −0.636512 | + | 0.745260i | ||||
\(479\) | −18.6967 | − | 2.21290i | −0.854275 | − | 0.101110i | −0.321028 | − | 0.947070i | \(-0.604028\pi\) |
−0.533247 | + | 0.845959i | \(0.679028\pi\) | |||||||
\(480\) | −2.85863 | + | 18.0487i | −0.130478 | + | 0.823806i | ||||
\(481\) | 0.419802 | + | 1.13792i | 0.0191413 | + | 0.0518848i | ||||
\(482\) | −1.33838 | − | 11.3079i | −0.0609617 | − | 0.515062i | ||||
\(483\) | 41.4370 | − | 27.6873i | 1.88545 | − | 1.25982i | ||||
\(484\) | 11.4122 | + | 3.95277i | 0.518735 | + | 0.179671i | ||||
\(485\) | 6.27030 | − | 2.59724i | 0.284720 | − | 0.117935i | ||||
\(486\) | 14.4161 | − | 18.2867i | 0.653927 | − | 0.829502i | ||||
\(487\) | 22.5404 | − | 20.8362i | 1.02140 | − | 0.944177i | 0.0229495 | − | 0.999737i | \(-0.492694\pi\) |
0.998455 | + | 0.0555597i | \(0.0176943\pi\) | |||||||
\(488\) | 14.1070 | − | 0.554266i | 0.638594 | − | 0.0250904i | ||||
\(489\) | 32.1256 | + | 63.0501i | 1.45277 | + | 2.85122i | ||||
\(490\) | −1.89213 | + | 15.9866i | −0.0854779 | + | 0.722199i | ||||
\(491\) | −12.1503 | + | 2.91704i | −0.548337 | + | 0.131644i | −0.498142 | − | 0.867095i | \(-0.665984\pi\) |
−0.0501948 | + | 0.998739i | \(0.515984\pi\) | |||||||
\(492\) | −21.2240 | − | 15.4201i | −0.956852 | − | 0.695193i | ||||
\(493\) | 1.17991 | − | 1.20340i | 0.0531406 | − | 0.0541984i | ||||
\(494\) | − | 9.17199i | − | 0.412667i | ||||||
\(495\) | 6.48846 | − | 22.1857i | 0.291634 | − | 0.997175i | ||||
\(496\) | 6.32523 | − | 1.25817i | 0.284011 | − | 0.0564933i | ||||
\(497\) | −28.1682 | − | 14.3524i | −1.26352 | − | 0.643794i | ||||
\(498\) | 53.0672 | − | 19.5775i | 2.37800 | − | 0.877290i | ||||
\(499\) | −17.7841 | + | 8.19856i | −0.796124 | + | 0.367018i | −0.774360 | − | 0.632745i | \(-0.781928\pi\) |
−0.0217636 | + | 0.999763i | \(0.506928\pi\) | |||||||
\(500\) | 9.86784 | − | 2.78302i | 0.441303 | − | 0.124460i | ||||
\(501\) | −0.121319 | − | 1.54150i | −0.00542012 | − | 0.0688691i | ||||
\(502\) | 30.8432 | + | 18.9007i | 1.37660 | + | 0.843581i | ||||
\(503\) | 0.926155 | − | 23.5722i | 0.0412952 | − | 1.05103i | −0.829229 | − | 0.558908i | \(-0.811220\pi\) |
0.870525 | − | 0.492125i | \(-0.163780\pi\) | |||||||
\(504\) | 41.5133 | − | 4.91343i | 1.84915 | − | 0.218861i | ||||
\(505\) | 5.32367 | − | 7.96744i | 0.236900 | − | 0.354546i | ||||
\(506\) | 22.0932 | + | 8.39334i | 0.982160 | + | 0.373129i | ||||
\(507\) | 7.50236 | + | 37.7169i | 0.333191 | + | 1.67507i | ||||
\(508\) | −0.850958 | + | 10.8124i | −0.0377552 | + | 0.479725i | ||||
\(509\) | −14.3000 | + | 19.6823i | −0.633837 | + | 0.872402i | −0.998268 | − | 0.0588281i | \(-0.981264\pi\) |
0.364431 | + | 0.931231i | \(0.381264\pi\) | |||||||
\(510\) | 14.4556 | − | 18.7133i | 0.640106 | − | 0.828638i | ||||
\(511\) | −6.28737 | + | 19.3505i | −0.278137 | + | 0.856017i | ||||
\(512\) | −9.23162 | − | 7.88455i | −0.407984 | − | 0.348451i | ||||
\(513\) | −55.1651 | − | 50.9941i | −2.43560 | − | 2.25144i | ||||
\(514\) | 36.6338 | − | 5.80222i | 1.61585 | − | 0.255925i | ||||
\(515\) | 6.77558 | + | 1.91091i | 0.298568 | + | 0.0842047i | ||||
\(516\) | 6.63546 | − | 33.3587i | 0.292110 | − | 1.46854i | ||||
\(517\) | 32.9542 | − | 2.27426i | 1.44932 | − | 0.100022i | ||||
\(518\) | −4.12914 | − | 9.96863i | −0.181424 | − | 0.437997i | ||||
\(519\) | −55.5943 | + | 47.4820i | −2.44032 | + | 2.08423i | ||||
\(520\) | 1.30579 | + | 0.0513048i | 0.0572628 | + | 0.00224986i | ||||
\(521\) | 6.89444 | + | 14.9552i | 0.302051 | + | 0.655199i | 0.998022 | − | 0.0628711i | \(-0.0200257\pi\) |
−0.695971 | + | 0.718070i | \(0.745026\pi\) | |||||||
\(522\) | −3.75242 | + | 2.95817i | −0.164239 | + | 0.129476i | ||||
\(523\) | −9.73641 | + | 4.96095i | −0.425743 | + | 0.216927i | −0.653715 | − | 0.756741i | \(-0.726791\pi\) |
0.227972 | + | 0.973668i | \(0.426791\pi\) | |||||||
\(524\) | −6.34222 | + | 6.86098i | −0.277061 | + | 0.299723i | ||||
\(525\) | −25.0760 | − | 40.9203i | −1.09441 | − | 1.78591i | ||||
\(526\) | −37.4335 | + | 12.1629i | −1.63218 | + | 0.530327i | ||||
\(527\) | −5.08352 | − | 1.59652i | −0.221441 | − | 0.0695457i | ||||
\(528\) | 34.5204 | + | 38.0736i | 1.50231 | + | 1.65694i | ||||
\(529\) | −6.10608 | − | 2.52922i | −0.265482 | − | 0.109966i | ||||
\(530\) | 2.36650 | − | 1.32530i | 0.102794 | − | 0.0575674i | ||||
\(531\) | −0.508064 | − | 3.20779i | −0.0220481 | − | 0.139206i | ||||
\(532\) | 1.13531 | + | 28.8957i | 0.0492221 | + | 1.25279i | ||||
\(533\) | −2.94915 | + | 5.26608i | −0.127742 | + | 0.228099i | ||||
\(534\) | −13.3640 | − | 47.3853i | −0.578318 | − | 2.05056i | ||||
\(535\) | −2.12219 | + | 3.46310i | −0.0917503 | + | 0.149723i | ||||
\(536\) | 2.46878 | − | 10.2832i | 0.106635 | − | 0.444167i | ||||
\(537\) | −50.3052 | − | 39.6574i | −2.17083 | − | 1.71134i | ||||
\(538\) | −9.48029 | − | 1.88575i | −0.408724 | − | 0.0813003i | ||||
\(539\) | 20.2425 | + | 20.6364i | 0.871905 | + | 0.888874i | ||||
\(540\) | −9.21193 | + | 9.21193i | −0.396418 | + | 0.396418i | ||||
\(541\) | −12.6214 | − | 22.5371i | −0.542636 | − | 0.968947i | −0.996945 | − | 0.0781026i | \(-0.975114\pi\) |
0.454309 | − | 0.890844i | \(-0.349886\pi\) | |||||||
\(542\) | −42.4035 | + | 25.9849i | −1.82138 | + | 1.11615i | ||||
\(543\) | 10.3343 | + | 14.2239i | 0.443486 | + | 0.610406i | ||||
\(544\) | 8.21669 | + | 21.6140i | 0.352288 | + | 0.926691i | ||||
\(545\) | 0.108108 | + | 0.0351263i | 0.00463083 | + | 0.00150465i | ||||
\(546\) | 3.96706 | + | 16.5240i | 0.169775 | + | 0.707162i | ||||
\(547\) | −4.25322 | + | 9.22594i | −0.181854 | + | 0.394473i | −0.977393 | − | 0.211430i | \(-0.932188\pi\) |
0.795539 | + | 0.605903i | \(0.207188\pi\) | |||||||
\(548\) | 5.09324 | − | 9.99605i | 0.217573 | − | 0.427010i | ||||
\(549\) | 49.1034 | + | 32.8099i | 2.09568 | + | 1.40029i | ||||
\(550\) | 8.91194 | − | 20.9422i | 0.380007 | − | 0.892980i | ||||
\(551\) | 1.50877 | + | 2.25803i | 0.0642757 | + | 0.0961954i | ||||
\(552\) | 12.9625 | + | 15.1772i | 0.551722 | + | 0.645984i | ||||
\(553\) | 9.94775 | + | 2.38824i | 0.423021 | + | 0.101558i | ||||
\(554\) | −0.175628 | + | 0.476060i | −0.00746172 | + | 0.0202259i | ||||
\(555\) | −4.39626 | − | 2.46202i | −0.186611 | − | 0.104507i | ||||
\(556\) | −2.26990 | − | 2.87936i | −0.0962654 | − | 0.122112i | ||||
\(557\) | −11.4029 | − | 1.80603i | −0.483154 | − | 0.0765241i | −0.0898942 | − | 0.995951i | \(-0.528653\pi\) |
−0.393260 | + | 0.919427i | \(0.628653\pi\) | |||||||
\(558\) | 13.7191 | + | 6.32458i | 0.580774 | + | 0.267741i | ||||
\(559\) | −7.80098 | − | 0.613951i | −0.329946 | − | 0.0259674i | ||||
\(560\) | −20.7604 | −0.877287 | ||||||||
\(561\) | −9.92142 | − | 41.2860i | −0.418883 | − | 1.74309i | ||||
\(562\) | −48.6195 | −2.05089 | ||||||||
\(563\) | 26.2716 | + | 2.06762i | 1.10721 | + | 0.0871397i | 0.618857 | − | 0.785504i | \(-0.287596\pi\) |
0.488358 | + | 0.872643i | \(0.337596\pi\) | |||||||
\(564\) | −30.8355 | − | 14.2154i | −1.29841 | − | 0.598575i | ||||
\(565\) | 2.89581 | + | 0.458652i | 0.121828 | + | 0.0192956i | ||||
\(566\) | 10.3051 | + | 13.0719i | 0.433154 | + | 0.549453i | ||||
\(567\) | 52.5236 | + | 29.4146i | 2.20578 | + | 1.23530i | ||||
\(568\) | 4.38233 | − | 11.8788i | 0.183879 | − | 0.498425i | ||||
\(569\) | −23.1621 | − | 5.56072i | −0.971005 | − | 0.233118i | −0.283238 | − | 0.959050i | \(-0.591409\pi\) |
−0.687766 | + | 0.725932i | \(0.741409\pi\) | |||||||
\(570\) | 24.7461 | + | 28.9739i | 1.03650 | + | 1.21358i | ||||
\(571\) | 12.2914 | + | 18.3954i | 0.514381 | + | 0.769825i | 0.994201 | − | 0.107542i | \(-0.0342980\pi\) |
−0.479820 | + | 0.877367i | \(0.659298\pi\) | |||||||
\(572\) | −1.87576 | + | 2.15386i | −0.0784295 | + | 0.0900573i | ||||
\(573\) | 7.53999 | + | 5.03806i | 0.314988 | + | 0.210468i | ||||
\(574\) | 24.3764 | − | 47.8414i | 1.01745 | − | 1.99686i | ||||
\(575\) | 6.60836 | − | 14.3346i | 0.275588 | − | 0.597796i | ||||
\(576\) | 0.170383 | + | 0.709697i | 0.00709930 | + | 0.0295707i | ||||
\(577\) | −12.8058 | − | 4.16086i | −0.533113 | − | 0.173219i | 0.0300752 | − | 0.999548i | \(-0.490425\pi\) |
−0.563188 | + | 0.826329i | \(0.690425\pi\) | |||||||
\(578\) | 4.09743 | − | 29.6398i | 0.170430 | − | 1.23285i | ||||
\(579\) | 7.98948 | + | 10.9966i | 0.332031 | + | 0.457002i | ||||
\(580\) | 0.401548 | − | 0.246069i | 0.0166734 | − | 0.0102175i | ||||
\(581\) | 20.0478 | + | 35.7979i | 0.831722 | + | 1.48515i | ||||
\(582\) | −24.9940 | + | 24.9940i | −1.03604 | + | 1.03604i | ||||
\(583\) | 0.808229 | − | 4.80294i | 0.0334734 | − | 0.198918i | ||||
\(584\) | −7.99216 | − | 1.58974i | −0.330718 | − | 0.0657839i | ||||
\(585\) | 4.29289 | + | 3.38424i | 0.177489 | + | 0.139921i | ||||
\(586\) | 9.95352 | − | 41.4594i | 0.411176 | − | 1.71267i | ||||
\(587\) | −12.2599 | + | 20.0064i | −0.506022 | + | 0.825752i | −0.999019 | − | 0.0442785i | \(-0.985901\pi\) |
0.492998 | + | 0.870031i | \(0.335901\pi\) | |||||||
\(588\) | −8.06555 | − | 28.5983i | −0.332618 | − | 1.17937i | ||||
\(589\) | 4.19527 | − | 7.49119i | 0.172863 | − | 0.308669i | ||||
\(590\) | 0.0354596 | + | 0.902507i | 0.00145985 | + | 0.0371556i | ||||
\(591\) | 7.52601 | + | 47.5174i | 0.309579 | + | 1.95460i | ||||
\(592\) | 6.73310 | − | 3.77072i | 0.276729 | − | 0.154975i | ||||
\(593\) | −7.41907 | − | 3.07308i | −0.304665 | − | 0.126196i | 0.225113 | − | 0.974333i | \(-0.427725\pi\) |
−0.529778 | + | 0.848136i | \(0.677725\pi\) | |||||||
\(594\) | 7.12626 | + | 65.6210i | 0.292394 | + | 2.69246i | ||||
\(595\) | 15.0472 | + | 8.23313i | 0.616877 | + | 0.337525i | ||||
\(596\) | −0.608247 | + | 0.197631i | −0.0249148 | + | 0.00809530i | ||||
\(597\) | −36.9713 | − | 60.3317i | −1.51313 | − | 2.46921i | ||||
\(598\) | −3.79389 | + | 4.10421i | −0.155144 | + | 0.167834i | ||||
\(599\) | 41.0468 | − | 20.9144i | 1.67713 | − | 0.854539i | 0.685111 | − | 0.728439i | \(-0.259754\pi\) |
0.992017 | − | 0.126100i | \(-0.0402461\pi\) | |||||||
\(600\) | 15.0946 | − | 11.8996i | 0.616235 | − | 0.485801i | ||||
\(601\) | 0.0902854 | + | 0.195844i | 0.00368282 | + | 0.00798865i | 0.909976 | − | 0.414661i | \(-0.136100\pi\) |
−0.906293 | + | 0.422650i | \(0.861100\pi\) | |||||||
\(602\) | 69.5591 | + | 2.73299i | 2.83502 | + | 0.111388i | ||||
\(603\) | 33.6387 | − | 28.7301i | 1.36987 | − | 1.16998i | ||||
\(604\) | 6.12427 | + | 14.7853i | 0.249193 | + | 0.601605i | ||||
\(605\) | 5.44509 | + | 10.1782i | 0.221374 | + | 0.413801i | ||||
\(606\) | −9.73613 | + | 48.9468i | −0.395503 | + | 1.98833i | ||||
\(607\) | 3.50699 | + | 0.989072i | 0.142344 | + | 0.0401452i | 0.341869 | − | 0.939747i | \(-0.388940\pi\) |
−0.199525 | + | 0.979893i | \(0.563940\pi\) | |||||||
\(608\) | −36.8012 | + | 5.82874i | −1.49249 | + | 0.236387i | ||||
\(609\) | −3.69480 | − | 3.41544i | −0.149721 | − | 0.138400i | ||||
\(610\) | −12.4885 | − | 10.6662i | −0.505645 | − | 0.431862i | ||||
\(611\) | −2.41398 | + | 7.42948i | −0.0976593 | + | 0.300564i | ||||
\(612\) | −7.87548 | + | 29.0159i | −0.318347 | + | 1.17290i | ||||
\(613\) | 12.0000 | − | 16.5165i | 0.484674 | − | 0.667096i | −0.494721 | − | 0.869052i | \(-0.664730\pi\) |
0.979395 | + | 0.201956i | \(0.0647298\pi\) | |||||||
\(614\) | −1.11222 | + | 14.1321i | −0.0448855 | + | 0.570324i | ||||
\(615\) | −4.89168 | − | 24.5921i | −0.197252 | − | 0.991651i | ||||
\(616\) | −13.0813 | + | 16.2686i | −0.527060 | + | 0.655480i | ||||
\(617\) | −4.10585 | + | 6.14484i | −0.165295 | + | 0.247382i | −0.904866 | − | 0.425697i | \(-0.860029\pi\) |
0.739570 | + | 0.673079i | \(0.235029\pi\) | |||||||
\(618\) | −36.4102 | + | 4.30943i | −1.46463 | + | 0.173351i | ||||
\(619\) | −1.23043 | + | 31.3165i | −0.0494551 | + | 1.25872i | 0.751396 | + | 0.659852i | \(0.229381\pi\) |
−0.800851 | + | 0.598864i | \(0.795619\pi\) | |||||||
\(620\) | −1.26953 | − | 0.777966i | −0.0509854 | − | 0.0312439i | ||||
\(621\) | 3.59170 | + | 45.6369i | 0.144130 | + | 1.83134i | ||||
\(622\) | 1.28656 | − | 0.362848i | 0.0515864 | − | 0.0145489i | ||||
\(623\) | 32.4322 | − | 14.9514i | 1.29937 | − | 0.599017i | ||||
\(624\) | −11.4027 | + | 4.20666i | −0.456472 | + | 0.168401i | ||||
\(625\) | −8.63809 | − | 4.40133i | −0.345524 | − | 0.176053i | ||||
\(626\) | 2.15755 | − | 0.429163i | 0.0862330 | − | 0.0171528i | ||||
\(627\) | 68.3911 | − | 2.02726i | 2.73128 | − | 0.0809611i | ||||
\(628\) | 18.9161i | 0.754836i | ||||||||
\(629\) | −6.37557 | + | 0.0628314i | −0.254210 | + | 0.00250525i | ||||
\(630\) | −39.3425 | − | 28.5840i | −1.56744 | − | 1.13881i | ||||
\(631\) | 17.2494 | − | 4.14121i | 0.686687 | − | 0.164859i | 0.124935 | − | 0.992165i | \(-0.460128\pi\) |
0.561752 | + | 0.827306i | \(0.310128\pi\) | |||||||
\(632\) | −0.481585 | + | 4.06889i | −0.0191564 | + | 0.161852i | ||||
\(633\) | 10.3932 | + | 20.3979i | 0.413094 | + | 0.810742i | ||||
\(634\) | 2.81068 | − | 0.110432i | 0.111626 | − | 0.00438581i | ||||
\(635\) | −7.61210 | + | 7.03656i | −0.302077 | + | 0.279237i | ||||
\(636\) | −3.09943 | + | 3.93161i | −0.122901 | + | 0.155899i | ||||
\(637\) | −6.31581 | + | 2.61610i | −0.250242 | + | 0.103653i | ||||
\(638\) | 0.303281 | − | 2.36678i | 0.0120070 | − | 0.0937019i | ||||
\(639\) | 44.0377 | − | 29.4250i | 1.74210 | − | 1.16404i | ||||
\(640\) | −1.40729 | − | 11.8901i | −0.0556281 | − | 0.469999i | ||||
\(641\) | −8.73158 | − | 23.6680i | −0.344877 | − | 0.934829i | −0.985904 | − | 0.167311i | \(-0.946492\pi\) |
0.641027 | − | 0.767518i | \(-0.278508\pi\) | |||||||
\(642\) | 3.30910 | − | 20.8928i | 0.130600 | − | 0.824574i | ||||
\(643\) | −33.0658 | − | 3.91359i | −1.30399 | − | 0.154337i | −0.563337 | − | 0.826227i | \(-0.690483\pi\) |
−0.740651 | + | 0.671890i | \(0.765483\pi\) | |||||||
\(644\) | 11.4444 | − | 13.3996i | 0.450971 | − | 0.528019i | ||||
\(645\) | 26.2994 | − | 19.1076i | 1.03554 | − | 0.752363i | ||||
\(646\) | 45.3972 | + | 16.2415i | 1.78613 | + | 0.639012i | ||||
\(647\) | 1.15897 | + | 3.56695i | 0.0455639 | + | 0.140231i | 0.971250 | − | 0.238060i | \(-0.0765116\pi\) |
−0.925686 | + | 0.378292i | \(0.876512\pi\) | |||||||
\(648\) | −9.22645 | + | 22.2746i | −0.362449 | + | 0.875030i | ||||
\(649\) | 1.30287 | + | 0.965907i | 0.0511420 | + | 0.0379152i | ||||
\(650\) | 3.80592 | + | 3.80592i | 0.149280 | + | 0.149280i | ||||
\(651\) | −4.31799 | + | 15.3104i | −0.169235 | + | 0.600064i | ||||
\(652\) | 16.9845 | + | 18.3737i | 0.665164 | + | 0.719571i | ||||
\(653\) | −2.57509 | − | 0.950003i | −0.100771 | − | 0.0371765i | 0.295232 | − | 0.955426i | \(-0.404603\pi\) |
−0.396003 | + | 0.918249i | \(0.629603\pi\) | |||||||
\(654\) | −0.590185 | + | 0.0464485i | −0.0230780 | + | 0.00181628i | ||||
\(655\) | −8.90248 | + | 0.700641i | −0.347849 | + | 0.0273763i | ||||
\(656\) | 36.0285 | + | 13.2916i | 1.40668 | + | 0.518950i | ||||
\(657\) | −23.1381 | − | 25.0307i | −0.902705 | − | 0.976540i | ||||
\(658\) | 18.8636 | − | 66.8854i | 0.735381 | − | 2.60746i | ||||
\(659\) | −5.99341 | − | 5.99341i | −0.233470 | − | 0.233470i | 0.580669 | − | 0.814139i | \(-0.302791\pi\) |
−0.814139 | + | 0.580669i | \(0.802791\pi\) | |||||||
\(660\) | 0.114337 | − | 11.8648i | 0.00445056 | − | 0.461835i | ||||
\(661\) | 14.3434 | − | 34.6281i | 0.557895 | − | 1.34688i | −0.353535 | − | 0.935421i | \(-0.615020\pi\) |
0.911430 | − | 0.411456i | \(-0.134980\pi\) | |||||||
\(662\) | −17.8504 | − | 54.9378i | −0.693774 | − | 2.13522i | ||||
\(663\) | 9.93298 | + | 1.47304i | 0.385765 | + | 0.0572081i | ||||
\(664\) | −13.2940 | + | 9.65865i | −0.515907 | + | 0.374828i | ||||
\(665\) | −17.9500 | + | 21.0168i | −0.696073 | + | 0.814997i | ||||
\(666\) | 17.9514 | + | 2.12469i | 0.695603 | + | 0.0823301i | ||||
\(667\) | 0.258878 | − | 1.63449i | 0.0100238 | − | 0.0632878i | ||||
\(668\) | −0.189240 | − | 0.512957i | −0.00732191 | − | 0.0198469i | ||||
\(669\) | −6.54623 | − | 55.3088i | −0.253092 | − | 2.13836i | ||||
\(670\) | −10.2291 | + | 6.83490i | −0.395186 | + | 0.264055i | ||||
\(671\) | −28.9787 | + | 5.47448i | −1.11871 | + | 0.211340i | ||||
\(672\) | 63.7790 | − | 26.4181i | 2.46033 | − | 1.01910i | ||||
\(673\) | −4.88449 | + | 6.19595i | −0.188283 | + | 0.238836i | −0.870326 | − | 0.492476i | \(-0.836092\pi\) |
0.682043 | + | 0.731313i | \(0.261092\pi\) | |||||||
\(674\) | 18.8775 | − | 17.4502i | 0.727133 | − | 0.672155i | ||||
\(675\) | 44.0507 | − | 1.73076i | 1.69551 | − | 0.0666169i | ||||
\(676\) | 6.17326 | + | 12.1157i | 0.237433 | + | 0.465988i | ||||
\(677\) | −4.16053 | + | 35.1522i | −0.159902 | + | 1.35101i | 0.647977 | + | 0.761660i | \(0.275615\pi\) |
−0.807880 | + | 0.589348i | \(0.799385\pi\) | |||||||
\(678\) | −14.8477 | + | 3.56463i | −0.570224 | + | 0.136899i | ||||
\(679\) | −20.7428 | − | 15.0705i | −0.796037 | − | 0.578354i | ||||
\(680\) | −2.56619 | + | 6.37223i | −0.0984089 | + | 0.244364i | ||||
\(681\) | − | 31.1213i | − | 1.19257i | ||||||
\(682\) | −7.10250 | + | 2.54277i | −0.271969 | + | 0.0973676i | ||||
\(683\) | −17.8300 | + | 3.54660i | −0.682244 | + | 0.135707i | −0.524032 | − | 0.851698i | \(-0.675573\pi\) |
−0.158212 | + | 0.987405i | \(0.550573\pi\) | |||||||
\(684\) | −43.1666 | − | 21.9945i | −1.65052 | − | 0.840981i | ||||
\(685\) | 10.0599 | − | 3.71128i | 0.384368 | − | 0.141801i | ||||
\(686\) | 10.8725 | − | 5.01230i | 0.415114 | − | 0.191370i | ||||
\(687\) | −33.2564 | + | 9.37927i | −1.26881 | + | 0.357842i | ||||
\(688\) | 3.90628 | + | 49.6340i | 0.148926 | + | 1.89228i | ||||
\(689\) | 0.982079 | + | 0.601819i | 0.0374142 | + | 0.0229275i | ||||
\(690\) | 0.911568 | − | 23.2010i | 0.0347028 | − | 0.883246i | ||||
\(691\) | −49.0940 | + | 5.81065i | −1.86762 | + | 0.221048i | −0.973805 | − | 0.227384i | \(-0.926983\pi\) |
−0.893817 | + | 0.448432i | \(0.851983\pi\) | |||||||
\(692\) | −14.3625 | + | 21.4950i | −0.545979 | + | 0.817115i | ||||
\(693\) | −84.2698 | + | 22.8922i | −3.20114 | + | 0.869604i | ||||
\(694\) | 3.29435 | + | 16.5618i | 0.125052 | + | 0.628678i | ||||
\(695\) | 0.274946 | − | 3.49352i | 0.0104293 | − | 0.132517i | ||||
\(696\) | 1.18448 | − | 1.63029i | 0.0448975 | − | 0.0617960i | ||||
\(697\) | −20.8424 | − | 23.9219i | −0.789464 | − | 0.906108i | ||||
\(698\) | −15.2213 | + | 46.8462i | −0.576133 | + | 1.77316i | ||||
\(699\) | 22.4369 | + | 19.1629i | 0.848640 | + | 0.724807i | ||||
\(700\) | −12.4614 | − | 11.5192i | −0.470995 | − | 0.435384i | ||||
\(701\) | −5.91369 | + | 0.936636i | −0.223357 | + | 0.0353762i | −0.267110 | − | 0.963666i | \(-0.586069\pi\) |
0.0437528 | + | 0.999042i | \(0.486069\pi\) | |||||||
\(702\) | −15.0238 | − | 4.23714i | −0.567036 | − | 0.159921i | ||||
\(703\) | 2.00434 | − | 10.0765i | 0.0755953 | − | 0.380043i | ||||
\(704\) | −0.308918 | − | 0.193424i | −0.0116428 | − | 0.00728995i | ||||
\(705\) | −12.4191 | − | 29.9823i | −0.467730 | − | 1.12920i | ||||
\(706\) | 2.13378 | − | 1.82242i | 0.0803058 | − | 0.0685877i | ||||
\(707\) | −36.1722 | − | 1.42121i | −1.36039 | − | 0.0534501i | ||||
\(708\) | −0.697960 | − | 1.51399i | −0.0262309 | − | 0.0568993i | ||||
\(709\) | −28.8144 | + | 22.7154i | −1.08215 | + | 0.853095i | −0.989776 | − | 0.142630i | \(-0.954444\pi\) |
−0.0923700 | + | 0.995725i | \(0.529444\pi\) | |||||||
\(710\) | −13.1238 | + | 6.68690i | −0.492526 | + | 0.250955i | ||||
\(711\) | −11.6342 | + | 12.5858i | −0.436315 | + | 0.472003i | ||||
\(712\) | 7.47327 | + | 12.1953i | 0.280073 | + | 0.457037i | ||||
\(713\) | −4.97591 | + | 1.61677i | −0.186349 | + | 0.0605486i | ||||
\(714\) | −88.8110 | − | 9.62501i | −3.32367 | − | 0.360207i | ||||
\(715\) | −2.71386 | + | 0.294718i | −0.101493 | + | 0.0110218i | ||||
\(716\) | −20.9261 | − | 8.66788i | −0.782046 | − | 0.323934i | ||||
\(717\) | 32.9819 | − | 18.4708i | 1.23173 | − | 0.689803i | ||||
\(718\) | −2.26753 | − | 14.3166i | −0.0846236 | − | 0.534293i | ||||
\(719\) | −1.97059 | − | 50.1548i | −0.0734905 | − | 1.87046i | −0.388606 | − | 0.921404i | \(-0.627043\pi\) |
0.315116 | − | 0.949053i | \(-0.397957\pi\) | |||||||
\(720\) | 16.9945 | − | 30.3458i | 0.633346 | − | 1.13092i | ||||
\(721\) | −7.21901 | − | 25.5967i | −0.268850 | − | 0.953270i | ||||
\(722\) | −23.1209 | + | 37.7299i | −0.860471 | + | 1.40416i | ||||
\(723\) | −4.68949 | + | 19.5331i | −0.174404 | + | 0.726445i | ||||
\(724\) | 4.88215 | + | 3.84878i | 0.181444 | + | 0.143039i | ||||
\(725\) | −1.56303 | − | 0.310907i | −0.0580496 | − | 0.0115468i | ||||
\(726\) | −46.4854 | − | 38.1214i | −1.72523 | − | 1.41482i | ||||
\(727\) | −2.51615 | + | 2.51615i | −0.0933187 | + | 0.0933187i | −0.752225 | − | 0.658906i | \(-0.771019\pi\) |
0.658906 | + | 0.752225i | \(0.271019\pi\) | |||||||
\(728\) | −2.41223 | − | 4.30735i | −0.0894032 | − | 0.159641i | ||||
\(729\) | 3.81655 | − | 2.33879i | 0.141354 | − | 0.0866217i | ||||
\(730\) | 5.57192 | + | 7.66909i | 0.206226 | + | 0.283846i | ||||
\(731\) | 16.8525 | − | 37.5241i | 0.623312 | − | 1.38788i | ||||
\(732\) | 28.8307 | + | 9.36766i | 1.06561 | + | 0.346239i | ||||
\(733\) | 8.09424 | + | 33.7149i | 0.298968 | + | 1.24529i | 0.896355 | + | 0.443337i | \(0.146206\pi\) |
−0.597387 | + | 0.801953i | \(0.703794\pi\) | |||||||
\(734\) | −10.1068 | + | 21.9233i | −0.373047 | + | 0.809202i | ||||
\(735\) | 12.8931 | − | 25.3042i | 0.475571 | − | 0.933360i | ||||
\(736\) | 18.8785 | + | 12.6142i | 0.695872 | + | 0.464967i | ||||
\(737\) | −1.94541 | + | 22.0055i | −0.0716599 | + | 0.810583i | ||||
\(738\) | 49.9760 | + | 74.7944i | 1.83964 | + | 2.75322i | ||||
\(739\) | 19.6894 | + | 23.0534i | 0.724288 | + | 0.848032i | 0.993355 | − | 0.115089i | \(-0.0367154\pi\) |
−0.269067 | + | 0.963121i | \(0.586715\pi\) | |||||||
\(740\) | −1.73243 | − | 0.415920i | −0.0636855 | − | 0.0152895i | ||||
\(741\) | −5.60045 | + | 15.1807i | −0.205738 | + | 0.557677i | ||||
\(742\) | −8.94011 | − | 5.00670i | −0.328202 | − | 0.183802i | ||||
\(743\) | 15.0072 | + | 19.0365i | 0.550560 | + | 0.698383i | 0.978692 | − | 0.205334i | \(-0.0658280\pi\) |
−0.428132 | + | 0.903716i | \(0.640828\pi\) | |||||||
\(744\) | −6.29261 | − | 0.996652i | −0.230698 | − | 0.0365390i | ||||
\(745\) | −0.555112 | − | 0.255910i | −0.0203377 | − | 0.00937583i | ||||
\(746\) | −57.0283 | − | 4.48822i | −2.08795 | − | 0.164326i | ||||
\(747\) | −68.7375 | −2.51497 | ||||||||
\(748\) | −7.33906 | − | 13.0981i | −0.268343 | − | 0.478915i | ||||
\(749\) | 15.3439 | 0.560655 | ||||||||
\(750\) | −50.8782 | − | 4.00420i | −1.85781 | − | 0.146213i | ||||
\(751\) | −2.26822 | − | 1.04566i | −0.0827685 | − | 0.0381568i | 0.376841 | − | 0.926278i | \(-0.377010\pi\) |
−0.459609 | + | 0.888121i | \(0.652010\pi\) | |||||||
\(752\) | 49.0910 | + | 7.77525i | 1.79016 | + | 0.283534i | ||||
\(753\) | −39.5082 | − | 50.1159i | −1.43976 | − | 1.82632i | ||||
\(754\) | 0.492344 | + | 0.275726i | 0.0179301 | + | 0.0100413i | ||||
\(755\) | −5.29408 | + | 14.3502i | −0.192671 | + | 0.522258i | ||||
\(756\) | 47.8558 | + | 11.4892i | 1.74050 | + | 0.417857i | ||||
\(757\) | 1.99687 | + | 2.33803i | 0.0725774 | + | 0.0849773i | 0.795507 | − | 0.605945i | \(-0.207205\pi\) |
−0.722929 | + | 0.690922i | \(0.757205\pi\) | |||||||
\(758\) | −3.60118 | − | 5.38954i | −0.130801 | − | 0.195757i | ||||
\(759\) | −31.4417 | − | 27.3821i | −1.14126 | − | 0.993907i | ||||
\(760\) | −9.20389 | − | 6.14984i | −0.333860 | − | 0.223078i | ||||
\(761\) | −15.0859 | + | 29.6077i | −0.546863 | + | 1.07328i | 0.437843 | + | 0.899052i | \(0.355743\pi\) |
−0.984705 | + | 0.174227i | \(0.944257\pi\) | |||||||
\(762\) | 22.6025 | − | 49.0287i | 0.818803 | − | 1.77612i | ||||
\(763\) | −0.100247 | − | 0.417560i | −0.00362920 | − | 0.0151167i | ||||
\(764\) | 3.04955 | + | 0.990860i | 0.110329 | + | 0.0358481i | ||||
\(765\) | −24.3522 | + | 15.2551i | −0.880454 | + | 0.551551i | ||||
\(766\) | −18.4870 | − | 25.4451i | −0.667961 | − | 0.919370i | ||||
\(767\) | −0.327032 | + | 0.200405i | −0.0118084 | + | 0.00723621i | ||||
\(768\) | 30.1356 | + | 53.8109i | 1.08742 | + | 1.94173i | ||||
\(769\) | 12.5095 | − | 12.5095i | 0.451103 | − | 0.451103i | −0.444618 | − | 0.895720i | \(-0.646660\pi\) |
0.895720 | + | 0.444618i | \(0.146660\pi\) | |||||||
\(770\) | 24.0212 | − | 3.56765i | 0.865664 | − | 0.128569i | ||||
\(771\) | −64.1759 | − | 12.7654i | −2.31124 | − | 0.459734i | ||||
\(772\) | 3.77442 | + | 2.97551i | 0.135844 | + | 0.107091i | ||||
\(773\) | 7.38499 | − | 30.7607i | 0.265620 | − | 1.10639i | −0.666866 | − | 0.745178i | \(-0.732365\pi\) |
0.932486 | − | 0.361207i | \(-0.117635\pi\) | |||||||
\(774\) | −60.9360 | + | 99.4384i | −2.19030 | + | 3.57424i | ||||
\(775\) | 1.36764 | + | 4.84929i | 0.0491272 | + | 0.174192i | ||||
\(776\) | 5.01749 | − | 8.95937i | 0.180117 | − | 0.321623i | ||||
\(777\) | 0.747317 | + | 19.0205i | 0.0268099 | + | 0.682356i | ||||
\(778\) | −9.33949 | − | 58.9672i | −0.334837 | − | 2.11408i | ||||
\(779\) | 44.6070 | − | 24.9811i | 1.59821 | − | 0.895042i | ||||
\(780\) | 2.59241 | + | 1.07381i | 0.0928232 | + | 0.0384486i | ||||
\(781\) | −5.40964 | + | 25.8897i | −0.193572 | + | 0.926406i | ||||
\(782\) | −13.5959 | − | 26.0456i | −0.486187 | − | 0.931390i | ||||
\(783\) | 4.39567 | − | 1.42824i | 0.157088 | − | 0.0510411i | ||||
\(784\) | 22.7263 | + | 37.0860i | 0.811654 | + | 1.32450i | ||||
\(785\) | −12.2723 | + | 13.2762i | −0.438019 | + | 0.473846i | ||||
\(786\) | 41.4392 | − | 21.1143i | 1.47809 | − | 0.753122i | ||||
\(787\) | −31.7647 | + | 25.0412i | −1.13229 | + | 0.892624i | −0.995193 | − | 0.0979337i | \(-0.968777\pi\) |
−0.137095 | + | 0.990558i | \(0.543777\pi\) | |||||||
\(788\) | 7.12195 | + | 15.4487i | 0.253709 | + | 0.550337i | ||||
\(789\) | 69.3834 | + | 2.72608i | 2.47012 | + | 0.0970511i | ||||
\(790\) | 3.62442 | − | 3.09554i | 0.128951 | − | 0.110135i | ||||
\(791\) | −4.23865 | − | 10.2330i | −0.150709 | − | 0.363844i | ||||
\(792\) | −13.0717 | − | 32.4386i | −0.464483 | − | 1.15265i | ||||
\(793\) | 1.36063 | − | 6.84034i | 0.0483173 | − | 0.242907i | ||||
\(794\) | 14.6340 | + | 4.12722i | 0.519341 | + | 0.146469i | ||||
\(795\) | −4.72605 | + | 0.748533i | −0.167616 | + | 0.0265477i | ||||
\(796\) | −18.3727 | − | 16.9835i | −0.651201 | − | 0.601964i | ||||
\(797\) | 22.8759 | + | 19.5379i | 0.810307 | + | 0.692068i | 0.954738 | − | 0.297447i | \(-0.0961351\pi\) |
−0.144431 | + | 0.989515i | \(0.546135\pi\) | |||||||
\(798\) | 44.4817 | − | 136.901i | 1.57464 | − | 4.84623i | ||||
\(799\) | −32.4979 | − | 25.1040i | −1.14969 | − | 0.888115i | ||||
\(800\) | 12.8520 | − | 17.6893i | 0.454388 | − | 0.625412i | ||||
\(801\) | −4.69423 | + | 59.6459i | −0.165863 | + | 2.10748i | ||||
\(802\) | 3.81403 | + | 19.1744i | 0.134678 | + | 0.677072i | ||||
\(803\) | 17.0018 | + | 0.832159i | 0.599981 | + | 0.0293662i | ||||
\(804\) | 12.6158 | − | 18.8809i | 0.444926 | − | 0.665878i | ||||
\(805\) | 16.7255 | − | 1.97959i | 0.589497 | − | 0.0697715i | ||||
\(806\) | 0.0700417 | − | 1.78268i | 0.00246711 | − | 0.0627922i | ||||
\(807\) | 14.5395 | + | 8.90983i | 0.511815 | + | 0.313641i | ||||
\(808\) | −1.13751 | − | 14.4535i | −0.0400176 | − | 0.508472i | ||||
\(809\) | −40.7108 | + | 11.4816i | −1.43132 | + | 0.403673i | −0.897158 | − | 0.441711i | \(-0.854372\pi\) |
−0.534159 | + | 0.845384i | \(0.679372\pi\) | |||||||
\(810\) | 25.4709 | − | 11.7423i | 0.894957 | − | 0.412581i | ||||
\(811\) | 43.7458 | − | 16.1387i | 1.53612 | − | 0.566706i | 0.569295 | − | 0.822133i | \(-0.307216\pi\) |
0.966828 | + | 0.255427i | \(0.0822161\pi\) | |||||||
\(812\) | −1.58522 | − | 0.807711i | −0.0556304 | − | 0.0283451i | ||||
\(813\) | 86.0490 | − | 17.1162i | 3.01787 | − | 0.600292i | ||||
\(814\) | −7.14266 | + | 5.52005i | −0.250350 | + | 0.193478i | ||||
\(815\) | 23.9146i | 0.837693i | ||||||||
\(816\) | −0.629608 | − | 63.8870i | −0.0220407 | − | 2.23649i | ||||
\(817\) | 53.6245 | + | 38.9605i | 1.87608 | + | 1.36305i | ||||
\(818\) | 17.9315 | − | 4.30498i | 0.626961 | − | 0.150520i | ||||
\(819\) | 2.42727 | − | 20.5079i | 0.0848157 | − | 0.716604i | ||||
\(820\) | −4.02508 | − | 7.89967i | −0.140562 | − | 0.275868i | ||||
\(821\) | 2.81047 | − | 0.110424i | 0.0980862 | − | 0.00385382i | 0.00983059 | − | 0.999952i | \(-0.496871\pi\) |
0.0882556 | + | 0.996098i | \(0.471871\pi\) | |||||||
\(822\) | −41.0077 | + | 37.9071i | −1.43031 | + | 1.32216i | ||||
\(823\) | −8.57265 | + | 10.8744i | −0.298824 | + | 0.379056i | −0.911515 | − | 0.411266i | \(-0.865087\pi\) |
0.612692 | + | 0.790322i | \(0.290087\pi\) | |||||||
\(824\) | 9.84061 | − | 4.07611i | 0.342814 | − | 0.141998i | ||||
\(825\) | −27.5377 | + | 29.2201i | −0.958739 | + | 1.01731i | ||||
\(826\) | 2.83706 | − | 1.89567i | 0.0987141 | − | 0.0659587i | ||||
\(827\) | 3.99646 | + | 33.7659i | 0.138971 | + | 1.17416i | 0.870437 | + | 0.492280i | \(0.163836\pi\) |
−0.731466 | + | 0.681877i | \(0.761164\pi\) | |||||||
\(828\) | 10.2181 | + | 27.6973i | 0.355103 | + | 0.962549i | ||||
\(829\) | 6.44299 | − | 40.6794i | 0.223774 | − | 1.41286i | −0.578394 | − | 0.815757i | \(-0.696320\pi\) |
0.802168 | − | 0.597098i | \(-0.203680\pi\) | |||||||
\(830\) | 18.9833 | + | 2.24683i | 0.658921 | + | 0.0779885i | ||||
\(831\) | 0.581368 | − | 0.680695i | 0.0201674 | − | 0.0236130i | ||||
\(832\) | 0.0697328 | − | 0.0506638i | 0.00241755 | − | 0.00175645i | ||||
\(833\) | −1.76464 | − | 35.8929i | −0.0611413 | − | 1.24361i | ||||
\(834\) | 5.63981 | + | 17.3575i | 0.195291 | + | 0.601042i | ||||
\(835\) | 0.199978 | − | 0.482790i | 0.00692053 | − | 0.0167076i | ||||
\(836\) | 23.0802 | − | 7.25409i | 0.798246 | − | 0.250888i | ||||
\(837\) | −10.3325 | − | 10.3325i | −0.357145 | − | 0.357145i | ||||
\(838\) | −10.5686 | + | 37.4733i | −0.365085 | + | 1.29449i | ||||
\(839\) | −8.42608 | − | 9.11528i | −0.290901 | − | 0.314694i | 0.571816 | − | 0.820382i | \(-0.306239\pi\) |
−0.862717 | + | 0.505687i | \(0.831239\pi\) | |||||||
\(840\) | 19.2414 | + | 7.09852i | 0.663891 | + | 0.244922i | ||||
\(841\) | 28.7440 | − | 2.26220i | 0.991174 | − | 0.0780071i | ||||
\(842\) | −62.7733 | + | 4.94036i | −2.16331 | + | 0.170256i | ||||
\(843\) | 80.4708 | + | 29.6873i | 2.77156 | + | 1.02248i | ||||
\(844\) | 5.49479 | + | 5.94423i | 0.189139 | + | 0.204609i | ||||
\(845\) | −3.52773 | + | 12.5084i | −0.121358 | + | 0.430301i | ||||
\(846\) | 82.3256 | + | 82.3256i | 2.83041 | + | 2.83041i | ||||
\(847\) | 22.0368 | − | 37.6297i | 0.757194 | − | 1.29297i | ||||
\(848\) | 2.80447 | − | 6.77058i | 0.0963058 | − | 0.232503i | ||||
\(849\) | −9.07429 | − | 27.9278i | −0.311429 | − | 0.958480i | ||||
\(850\) | −25.5769 | + | 12.0982i | −0.877282 | + | 0.414963i | ||||
\(851\) | −5.06493 | + | 3.67989i | −0.173624 | + | 0.126145i | ||||
\(852\) | 17.6565 | − | 20.6732i | 0.604903 | − | 0.708251i | ||||
\(853\) | −35.4032 | − | 4.19025i | −1.21218 | − | 0.143471i | −0.512984 | − | 0.858398i | \(-0.671460\pi\) |
−0.699199 | + | 0.714927i | \(0.746460\pi\) | |||||||
\(854\) | −9.70588 | + | 61.2805i | −0.332128 | + | 2.09698i | ||||
\(855\) | −16.0267 | − | 43.4422i | −0.548101 | − | 1.48569i | ||||
\(856\) | 0.722298 | + | 6.10266i | 0.0246876 | + | 0.208585i | ||||
\(857\) | 3.75001 | − | 2.50568i | 0.128098 | − | 0.0855924i | −0.489870 | − | 0.871795i | \(-0.662956\pi\) |
0.617968 | + | 0.786203i | \(0.287956\pi\) | |||||||
\(858\) | 12.4707 | − | 6.82693i | 0.425744 | − | 0.233068i | ||||
\(859\) | 24.3562 | − | 10.0887i | 0.831024 | − | 0.344221i | 0.0737161 | − | 0.997279i | \(-0.476514\pi\) |
0.757308 | + | 0.653058i | \(0.226514\pi\) | |||||||
\(860\) | 7.11624 | − | 9.02690i | 0.242662 | − | 0.307815i | ||||
\(861\) | −69.5579 | + | 64.2987i | −2.37053 | + | 2.19129i | ||||
\(862\) | −28.8687 | + | 1.13426i | −0.983273 | + | 0.0386329i | ||||
\(863\) | 3.18004 | + | 6.24117i | 0.108250 | + | 0.212452i | 0.938777 | − | 0.344527i | \(-0.111961\pi\) |
−0.830527 | + | 0.556979i | \(0.811961\pi\) | |||||||
\(864\) | −7.45338 | + | 62.9733i | −0.253569 | + | 2.14240i | ||||
\(865\) | −24.0256 | + | 5.76804i | −0.816896 | + | 0.196119i | ||||
\(866\) | 9.04593 | + | 6.57225i | 0.307393 | + | 0.223334i | ||||
\(867\) | −24.8799 | + | 46.5553i | −0.844964 | + | 1.58110i | ||||
\(868\) | 5.62487i | 0.190921i | ||||||||
\(869\) | −0.253595 | − | 8.55521i | −0.00860262 | − | 0.290215i | ||||
\(870\) | −2.29920 | + | 0.457340i | −0.0779502 | + | 0.0155053i | ||||
\(871\) | −4.65492 | − | 2.37180i | −0.157726 | − | 0.0803654i | ||||
\(872\) | 0.161355 | − | 0.0595271i | 0.00546418 | − | 0.00201584i | ||||
\(873\) | 39.0089 | − | 17.9834i | 1.32025 | − | 0.608644i | ||||
\(874\) | 45.5658 | − | 12.8509i | 1.54129 | − | 0.434687i | ||||
\(875\) | −2.90452 | − | 36.9055i | −0.0981908 | − | 1.24763i | ||||
\(876\) | −14.9188 | − | 9.14228i | −0.504061 | − | 0.308889i | ||||
\(877\) | 0.249678 | − | 6.35472i | 0.00843102 | − | 0.214584i | −0.989237 | − | 0.146325i | \(-0.953256\pi\) |
0.997668 | − | 0.0682591i | \(-0.0217444\pi\) | |||||||
\(878\) | 4.69250 | − | 0.555395i | 0.158364 | − | 0.0187437i | ||||
\(879\) | −41.7895 | + | 62.5424i | −1.40952 | + | 2.10950i | ||||
\(880\) | 4.55323 | + | 16.7611i | 0.153489 | + | 0.565017i | ||||
\(881\) | −0.548497 | − | 2.75748i | −0.0184793 | − | 0.0929019i | 0.970445 | − | 0.241322i | \(-0.0775811\pi\) |
−0.988924 | + | 0.148420i | \(0.952581\pi\) | |||||||
\(882\) | −7.99384 | + | 101.571i | −0.269167 | + | 3.42009i | ||||
\(883\) | 0.835142 | − | 1.14947i | 0.0281047 | − | 0.0386829i | −0.794733 | − | 0.606959i | \(-0.792389\pi\) |
0.822838 | + | 0.568276i | \(0.192389\pi\) | |||||||
\(884\) | 3.52176 | − | 0.452062i | 0.118450 | − | 0.0152045i | ||||
\(885\) | 0.492385 | − | 1.51540i | 0.0165513 | − | 0.0509397i | ||||
\(886\) | 24.0399 | + | 20.5321i | 0.807638 | + | 0.689788i | ||||
\(887\) | −21.6162 | − | 19.9818i | −0.725800 | − | 0.670922i | 0.227216 | − | 0.973844i | \(-0.427038\pi\) |
−0.953015 | + | 0.302922i | \(0.902038\pi\) | |||||||
\(888\) | −7.52975 | + | 1.19259i | −0.252682 | + | 0.0400209i | ||||
\(889\) | 37.6908 | + | 10.6299i | 1.26411 | + | 0.356516i | ||||
\(890\) | 3.24606 | − | 16.3191i | 0.108808 | − | 0.547016i | ||||
\(891\) | 12.2286 | − | 48.8567i | 0.409673 | − | 1.63676i | ||||
\(892\) | −7.53633 | − | 18.1943i | −0.252335 | − | 0.609191i | ||||
\(893\) | 50.3168 | − | 42.9746i | 1.68379 | − | 1.43809i | ||||
\(894\) | 3.18104 | + | 0.124984i | 0.106390 | + | 0.00418008i | ||||
\(895\) | −9.06332 | − | 19.6599i | −0.302953 | − | 0.657157i | ||||
\(896\) | −35.5214 | + | 28.0028i | −1.18669 | + | 0.935509i | ||||
\(897\) | 8.78537 | − | 4.47637i | 0.293335 | − | 0.149462i | ||||
\(898\) | 13.6468 | − | 14.7630i | 0.455400 | − | 0.492649i | ||||
\(899\) | 0.276003 | + | 0.450396i | 0.00920521 | + | 0.0150215i | ||||
\(900\) | 27.0386 | − | 8.78538i | 0.901287 | − | 0.292846i | ||||
\(901\) | −4.71776 | + | 3.79516i | −0.157171 | + | 0.126435i | ||||
\(902\) | −43.9715 | − | 9.18783i | −1.46409 | − | 0.305921i | ||||
\(903\) | −113.460 | − | 46.9965i | −3.77570 | − | 1.56394i | ||||
\(904\) | 3.87039 | − | 2.16752i | 0.128727 | − | 0.0720908i | ||||
\(905\) | 0.929505 | + | 5.86866i | 0.0308978 | + | 0.195081i | ||||
\(906\) | −3.12747 | − | 79.5995i | −0.103903 | − | 2.64452i | ||||
\(907\) | −23.8441 | + | 42.5767i | −0.791730 | + | 1.41374i | 0.115590 | + | 0.993297i | \(0.463124\pi\) |
−0.907321 | + | 0.420439i | \(0.861876\pi\) | |||||||
\(908\) | −2.98702 | − | 10.5912i | −0.0991277 | − | 0.351480i | ||||
\(909\) | 31.6879 | − | 51.7100i | 1.05102 | − | 1.71511i | ||||
\(910\) | −1.34069 | + | 5.58436i | −0.0444433 | + | 0.185120i | ||||
\(911\) | 22.8640 | + | 18.0245i | 0.757519 | + | 0.597180i | 0.921089 | − | 0.389352i | \(-0.127301\pi\) |
−0.163570 | + | 0.986532i | \(0.552301\pi\) | |||||||
\(912\) | 100.973 | + | 20.0847i | 3.34354 | + | 0.665072i | ||||
\(913\) | 24.5048 | − | 24.0371i | 0.810992 | − | 0.795511i | ||||
\(914\) | −36.1704 | + | 36.1704i | −1.19641 | + | 1.19641i | ||||
\(915\) | 14.1571 | + | 25.2793i | 0.468019 | + | 0.835708i | ||||
\(916\) | −10.4176 | + | 6.38389i | −0.344206 | + | 0.210930i | ||||
\(917\) | 19.8293 | + | 27.2927i | 0.654822 | + | 0.901285i | ||||
\(918\) | 47.5755 | − | 66.8578i | 1.57023 | − | 2.20664i | ||||
\(919\) | −4.32712 | − | 1.40597i | −0.142738 | − | 0.0463785i | 0.236776 | − | 0.971564i | \(-0.423909\pi\) |
−0.379515 | + | 0.925186i | \(0.623909\pi\) | |||||||
\(920\) | 1.57467 | + | 6.55897i | 0.0519153 | + | 0.216243i | ||||
\(921\) | 10.4699 | − | 22.7111i | 0.344996 | − | 0.748355i | ||||
\(922\) | −22.2705 | + | 43.7083i | −0.733440 | + | 1.43946i | ||||
\(923\) | −5.20071 | − | 3.47500i | −0.171183 | − | 0.114381i | ||||
\(924\) | −38.4431 | + | 23.0514i | −1.26469 | + | 0.758335i | ||||
\(925\) | 3.34955 | + | 5.01295i | 0.110132 | + | 0.164825i | ||||
\(926\) | 25.9805 | + | 30.4193i | 0.853772 | + | 0.999639i | ||||
\(927\) | 43.3245 | + | 10.4013i | 1.42296 | + | 0.341623i | ||||
\(928\) | 0.793427 | − | 2.15068i | 0.0260455 | − | 0.0705994i | ||||
\(929\) | 2.45482 | + | 1.37477i | 0.0805401 | + | 0.0451046i | 0.528371 | − | 0.849014i | \(-0.322803\pi\) |
−0.447830 | + | 0.894118i | \(0.647803\pi\) | |||||||
\(930\) | 4.58842 | + | 5.82038i | 0.150460 | + | 0.190858i | ||||
\(931\) | 57.1938 | + | 9.05862i | 1.87445 | + | 0.296884i | ||||
\(932\) | 9.47494 | + | 4.36801i | 0.310362 | + | 0.143079i | ||||
\(933\) | −2.35096 | − | 0.185025i | −0.0769671 | − | 0.00605744i | ||||
\(934\) | −19.5007 | −0.638082 | ||||||||
\(935\) | 3.34690 | − | 13.9542i | 0.109455 | − | 0.456353i | ||||
\(936\) | 8.27077 | 0.270339 | ||||||||
\(937\) | 19.2076 | + | 1.51167i | 0.627483 | + | 0.0493840i | 0.388214 | − | 0.921569i | \(-0.373092\pi\) |
0.239269 | + | 0.970953i | \(0.423092\pi\) | |||||||
\(938\) | 42.2070 | + | 19.4577i | 1.37811 | + | 0.635316i | ||||
\(939\) | −3.83304 | − | 0.607094i | −0.125087 | − | 0.0198118i | ||||
\(940\) | −7.10415 | − | 9.01157i | −0.231712 | − | 0.293925i | ||||
\(941\) | 31.9486 | + | 17.8921i | 1.04150 | + | 0.583266i | 0.912795 | − | 0.408418i | \(-0.133919\pi\) |
0.128701 | + | 0.991683i | \(0.458919\pi\) | |||||||
\(942\) | 32.5902 | − | 88.3395i | 1.06184 | − | 2.87826i | ||||
\(943\) | −30.2936 | − | 7.27284i | −0.986494 | − | 0.236836i | ||||
\(944\) | 1.58489 | + | 1.85566i | 0.0515837 | + | 0.0603967i | ||||
\(945\) | 26.1333 | + | 39.1113i | 0.850118 | + | 1.27229i | ||||
\(946\) | −13.0494 | − | 56.7586i | −0.424272 | − | 1.84538i | ||||
\(947\) | 26.7033 | + | 17.8425i | 0.867739 | + | 0.579805i | 0.907805 | − | 0.419392i | \(-0.137757\pi\) |
−0.0400660 | + | 0.999197i | \(0.512757\pi\) | |||||||
\(948\) | −3.99414 | + | 7.83893i | −0.129723 | + | 0.254597i | ||||
\(949\) | −1.68533 | + | 3.65577i | −0.0547082 | + | 0.118671i | ||||
\(950\) | −10.6433 | − | 44.3324i | −0.345313 | − | 1.43833i | ||||
\(951\) | −4.71943 | − | 1.53343i | −0.153038 | − | 0.0497250i | ||||
\(952\) | 25.5909 | − | 4.31213i | 0.829406 | − | 0.139757i | ||||
\(953\) | −18.2238 | − | 25.0830i | −0.590328 | − | 0.812517i | 0.404452 | − | 0.914559i | \(-0.367462\pi\) |
−0.994780 | + | 0.102042i | \(0.967462\pi\) | |||||||
\(954\) | 14.6367 | − | 8.96941i | 0.473882 | − | 0.290395i | ||||
\(955\) | 1.49746 | + | 2.67391i | 0.0484567 | + | 0.0865256i | ||||
\(956\) | 9.45155 | − | 9.45155i | 0.305685 | − | 0.305685i | ||||
\(957\) | −1.94713 | + | 3.73211i | −0.0629419 | + | 0.120642i | ||||
\(958\) | 32.5010 | + | 6.46485i | 1.05006 | + | 0.208870i | ||||
\(959\) | −31.8114 | − | 25.0781i | −1.02724 | − | 0.809814i | ||||
\(960\) | −0.0835916 | + | 0.348184i | −0.00269791 | + | 0.0112376i | ||||
\(961\) | −15.3249 | + | 25.0079i | −0.494350 | + | 0.806706i | ||||
\(962\) | −0.579472 | − | 2.05465i | −0.0186829 | − | 0.0662446i | ||||
\(963\) | −12.5605 | + | 22.4284i | −0.404758 | + | 0.722747i | ||||
\(964\) | 0.278865 | + | 7.09759i | 0.00898164 | + | 0.228598i | ||||
\(965\) | 0.718605 | + | 4.53710i | 0.0231327 | + | 0.146054i | ||||
\(966\) | −76.5317 | + | 42.8598i | −2.46237 | + | 1.37899i | ||||
\(967\) | −6.33953 | − | 2.62592i | −0.203865 | − | 0.0844438i | 0.278414 | − | 0.960461i | \(-0.410191\pi\) |
−0.482280 | + | 0.876017i | \(0.660191\pi\) | |||||||
\(968\) | 16.0036 | + | 6.99322i | 0.514376 | + | 0.224771i | ||||
\(969\) | −65.2204 | − | 54.6011i | −2.09518 | − | 1.75404i | ||||
\(970\) | −11.3610 | + | 3.69141i | −0.364779 | + | 0.118524i | ||||
\(971\) | 5.29503 | + | 8.64070i | 0.169925 | + | 0.277293i | 0.926255 | − | 0.376898i | \(-0.123009\pi\) |
−0.756329 | + | 0.654191i | \(0.773009\pi\) | |||||||
\(972\) | −9.85995 | + | 10.6664i | −0.316258 | + | 0.342126i | ||||
\(973\) | −11.7957 | + | 6.01018i | −0.378151 | + | 0.192678i | ||||
\(974\) | −42.4284 | + | 33.4479i | −1.35949 | + | 1.07174i | ||||
\(975\) | −3.97532 | − | 8.62313i | −0.127312 | − | 0.276161i | ||||
\(976\) | −44.3403 | − | 1.74214i | −1.41930 | − | 0.0557644i | ||||
\(977\) | 35.1978 | − | 30.0617i | 1.12608 | − | 0.961760i | 0.126533 | − | 0.991962i | \(-0.459615\pi\) |
0.999544 | + | 0.0302021i | \(0.00961509\pi\) | |||||||
\(978\) | −47.6630 | − | 115.069i | −1.52409 | − | 3.67949i | ||||
\(979\) | −19.1843 | − | 22.9052i | −0.613133 | − | 0.732055i | ||||
\(980\) | 1.95909 | − | 9.84899i | 0.0625807 | − | 0.314614i | ||||
\(981\) | 0.692417 | + | 0.195282i | 0.0221072 | + | 0.00623487i | ||||
\(982\) | 21.7227 | − | 3.44053i | 0.693198 | − | 0.109792i | ||||
\(983\) | −31.8974 | − | 29.4856i | −1.01737 | − | 0.940445i | −0.0191317 | − | 0.999817i | \(-0.506090\pi\) |
−0.998236 | + | 0.0593720i | \(0.981090\pi\) | |||||||
\(984\) | −28.8475 | − | 24.6381i | −0.919626 | − | 0.785435i | ||||
\(985\) | −5.02427 | + | 15.4631i | −0.160087 | + | 0.492696i | ||||
\(986\) | −2.23654 | + | 1.94863i | −0.0712260 | + | 0.0620570i | ||||
\(987\) | −72.0619 | + | 99.1847i | −2.29376 | + | 3.15709i | ||||
\(988\) | −0.448899 | + | 5.70381i | −0.0142814 | + | 0.181462i | ||||
\(989\) | −7.87989 | − | 39.6149i | −0.250566 | − | 1.25968i | ||||
\(990\) | −14.4489 | + | 38.0326i | −0.459215 | + | 1.20876i | ||||
\(991\) | −30.3215 | + | 45.3794i | −0.963195 | + | 1.44152i | −0.0670565 | + | 0.997749i | \(0.521361\pi\) |
−0.896139 | + | 0.443774i | \(0.853639\pi\) | |||||||
\(992\) | −7.19725 | + | 0.851851i | −0.228513 | + | 0.0270463i | ||||
\(993\) | −4.00083 | + | 101.828i | −0.126962 | + | 3.23141i | ||||
\(994\) | 47.4440 | + | 29.0737i | 1.50483 | + | 0.922161i | ||||
\(995\) | −1.87621 | − | 23.8395i | −0.0594798 | − | 0.755763i | ||||
\(996\) | −33.9592 | + | 9.57748i | −1.07604 | + | 0.303474i | ||||
\(997\) | −20.9261 | + | 9.64708i | −0.662737 | + | 0.305526i | −0.721163 | − | 0.692766i | \(-0.756392\pi\) |
0.0584253 | + | 0.998292i | \(0.481392\pi\) | |||||||
\(998\) | 32.3374 | − | 11.9299i | 1.02362 | − | 0.377634i | ||||
\(999\) | −15.5795 | − | 7.93813i | −0.492912 | − | 0.251151i |
(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 | 187.2.t.a.6.4 | ✓ | 512 | |
11.2 | odd | 10 | inner | 187.2.t.a.57.4 | yes | 512 | |
17.3 | odd | 16 | inner | 187.2.t.a.105.4 | yes | 512 | |
187.156 | even | 80 | inner | 187.2.t.a.156.4 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.t.a.6.4 | ✓ | 512 | 1.1 | even | 1 | trivial | |
187.2.t.a.57.4 | yes | 512 | 11.2 | odd | 10 | inner | |
187.2.t.a.105.4 | yes | 512 | 17.3 | odd | 16 | inner | |
187.2.t.a.156.4 | yes | 512 | 187.156 | even | 80 | inner |