Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,2,Mod(11,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.o (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.766563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 96.11 |
Dual form | 96.2.o.a.35.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41060 | − | 0.101040i | −0.997444 | − | 0.0714458i | ||||
\(3\) | 1.72928 | − | 0.0979076i | 0.998401 | − | 0.0565270i | ||||
\(4\) | 1.97958 | + | 0.285053i | 0.989791 | + | 0.142526i | ||||
\(5\) | −0.180206 | − | 0.0746437i | −0.0805904 | − | 0.0333817i | 0.342024 | − | 0.939691i | \(-0.388888\pi\) |
−0.422614 | + | 0.906310i | \(0.638888\pi\) | |||||||
\(6\) | −2.44922 | − | 0.0366175i | −0.999888 | − | 0.0149490i | ||||
\(7\) | −0.289055 | + | 0.289055i | −0.109253 | + | 0.109253i | −0.759620 | − | 0.650367i | \(-0.774615\pi\) |
0.650367 | + | 0.759620i | \(0.274615\pi\) | |||||||
\(8\) | −2.76360 | − | 0.602112i | −0.977079 | − | 0.212879i | ||||
\(9\) | 2.98083 | − | 0.338620i | 0.993609 | − | 0.112873i | ||||
\(10\) | 0.246656 | + | 0.123500i | 0.0779995 | + | 0.0390542i | ||||
\(11\) | 3.10859 | + | 1.28762i | 0.937276 | + | 0.388232i | 0.798434 | − | 0.602082i | \(-0.205662\pi\) |
0.138842 | + | 0.990315i | \(0.455662\pi\) | |||||||
\(12\) | 3.45116 | + | 0.299121i | 0.996265 | + | 0.0863487i | ||||
\(13\) | −1.27981 | − | 3.08973i | −0.354954 | − | 0.856936i | −0.995993 | − | 0.0894273i | \(-0.971496\pi\) |
0.641039 | − | 0.767508i | \(-0.278504\pi\) | |||||||
\(14\) | 0.436947 | − | 0.378535i | 0.116779 | − | 0.101168i | ||||
\(15\) | −0.318935 | − | 0.111436i | −0.0823486 | − | 0.0287727i | ||||
\(16\) | 3.83749 | + | 1.12857i | 0.959372 | + | 0.282143i | ||||
\(17\) | −0.806332 | −0.195564 | −0.0977822 | − | 0.995208i | \(-0.531175\pi\) | ||||
−0.0977822 | + | 0.995208i | \(0.531175\pi\) | |||||||
\(18\) | −4.23897 | + | 0.176475i | −0.999135 | + | 0.0415955i | ||||
\(19\) | −5.57935 | + | 2.31104i | −1.27999 | + | 0.530190i | −0.915987 | − | 0.401208i | \(-0.868591\pi\) |
−0.364004 | + | 0.931397i | \(0.618591\pi\) | |||||||
\(20\) | −0.335455 | − | 0.199131i | −0.0750099 | − | 0.0445271i | ||||
\(21\) | −0.471557 | + | 0.528159i | −0.102902 | + | 0.115254i | ||||
\(22\) | −4.25488 | − | 2.13041i | −0.907143 | − | 0.454205i | ||||
\(23\) | −5.03681 | + | 5.03681i | −1.05025 | + | 1.05025i | −0.0515792 | + | 0.998669i | \(0.516425\pi\) |
−0.998669 | + | 0.0515792i | \(0.983575\pi\) | |||||||
\(24\) | −4.83799 | − | 0.770644i | −0.987550 | − | 0.157307i | ||||
\(25\) | −3.50863 | − | 3.50863i | −0.701726 | − | 0.701726i | ||||
\(26\) | 1.49311 | + | 4.48768i | 0.292823 | + | 0.880106i | ||||
\(27\) | 5.12154 | − | 0.877415i | 0.985640 | − | 0.168859i | ||||
\(28\) | −0.654605 | + | 0.489813i | −0.123709 | + | 0.0925659i | ||||
\(29\) | −3.64020 | − | 8.78822i | −0.675968 | − | 1.63193i | −0.771289 | − | 0.636485i | \(-0.780388\pi\) |
0.0953212 | − | 0.995447i | \(-0.469612\pi\) | |||||||
\(30\) | 0.438629 | + | 0.189417i | 0.0800824 | + | 0.0345827i | ||||
\(31\) | 7.48336i | 1.34405i | 0.740528 | + | 0.672026i | \(0.234576\pi\) | ||||
−0.740528 | + | 0.672026i | \(0.765424\pi\) | |||||||
\(32\) | −5.29913 | − | 1.97970i | −0.936763 | − | 0.349965i | ||||
\(33\) | 5.50170 | + | 1.92230i | 0.957723 | + | 0.334630i | ||||
\(34\) | 1.13741 | + | 0.0814715i | 0.195065 | + | 0.0139723i | ||||
\(35\) | 0.0736656 | − | 0.0305133i | 0.0124518 | − | 0.00515769i | ||||
\(36\) | 5.99732 | + | 0.179369i | 0.999553 | + | 0.0298948i | ||||
\(37\) | −1.47112 | + | 3.55159i | −0.241850 | + | 0.583878i | −0.997467 | − | 0.0711364i | \(-0.977337\pi\) |
0.755616 | + | 0.655014i | \(0.227337\pi\) | |||||||
\(38\) | 8.10374 | − | 2.69622i | 1.31460 | − | 0.437385i | ||||
\(39\) | −2.51565 | − | 5.21770i | −0.402827 | − | 0.835501i | ||||
\(40\) | 0.453072 | + | 0.314789i | 0.0716370 | + | 0.0497725i | ||||
\(41\) | 2.62513 | + | 2.62513i | 0.409976 | + | 0.409976i | 0.881730 | − | 0.471754i | \(-0.156379\pi\) |
−0.471754 | + | 0.881730i | \(0.656379\pi\) | |||||||
\(42\) | 0.718544 | − | 0.697375i | 0.110874 | − | 0.107607i | ||||
\(43\) | 2.84744 | − | 6.87432i | 0.434230 | − | 1.04832i | −0.543679 | − | 0.839293i | \(-0.682969\pi\) |
0.977909 | − | 0.209031i | \(-0.0670310\pi\) | |||||||
\(44\) | 5.78667 | + | 3.43506i | 0.872374 | + | 0.517855i | ||||
\(45\) | −0.562438 | − | 0.161479i | −0.0838433 | − | 0.0240718i | ||||
\(46\) | 7.61384 | − | 6.59601i | 1.12260 | − | 0.972528i | ||||
\(47\) | − | 0.399772i | − | 0.0583127i | −0.999575 | − | 0.0291564i | \(-0.990718\pi\) | ||
0.999575 | − | 0.0291564i | \(-0.00928208\pi\) | |||||||
\(48\) | 6.74660 | + | 1.57590i | 0.973787 | + | 0.227461i | ||||
\(49\) | 6.83289i | 0.976128i | ||||||||
\(50\) | 4.59476 | + | 5.30378i | 0.649798 | + | 0.750068i | ||||
\(51\) | −1.39438 | + | 0.0789461i | −0.195252 | + | 0.0110547i | ||||
\(52\) | −1.65275 | − | 6.48118i | −0.229195 | − | 0.898778i | ||||
\(53\) | 1.42173 | − | 3.43237i | 0.195290 | − | 0.471472i | −0.795653 | − | 0.605752i | \(-0.792872\pi\) |
0.990943 | + | 0.134280i | \(0.0428723\pi\) | |||||||
\(54\) | −7.31309 | + | 0.720202i | −0.995186 | + | 0.0980071i | ||||
\(55\) | −0.464073 | − | 0.464073i | −0.0625756 | − | 0.0625756i | ||||
\(56\) | 0.972876 | − | 0.624789i | 0.130006 | − | 0.0834909i | ||||
\(57\) | −9.42200 | + | 4.54271i | −1.24797 | + | 0.601696i | ||||
\(58\) | 4.24691 | + | 12.7645i | 0.557646 | + | 1.67606i | ||||
\(59\) | 0.918629 | − | 2.21777i | 0.119595 | − | 0.288729i | −0.852733 | − | 0.522347i | \(-0.825057\pi\) |
0.972328 | + | 0.233618i | \(0.0750566\pi\) | |||||||
\(60\) | −0.599592 | − | 0.311511i | −0.0774070 | − | 0.0402159i | ||||
\(61\) | 8.81133 | − | 3.64977i | 1.12818 | − | 0.467306i | 0.261015 | − | 0.965335i | \(-0.415943\pi\) |
0.867160 | + | 0.498029i | \(0.165943\pi\) | |||||||
\(62\) | 0.756117 | − | 10.5560i | 0.0960269 | − | 1.34062i | ||||
\(63\) | −0.763745 | + | 0.959504i | −0.0962228 | + | 0.120886i | ||||
\(64\) | 7.27492 | + | 3.32799i | 0.909365 | + | 0.415998i | ||||
\(65\) | 0.652316i | 0.0809098i | ||||||||
\(66\) | −7.56646 | − | 3.26749i | −0.931367 | − | 0.402200i | ||||
\(67\) | −3.76613 | − | 9.09225i | −0.460107 | − | 1.11080i | −0.968353 | − | 0.249584i | \(-0.919706\pi\) |
0.508247 | − | 0.861212i | \(-0.330294\pi\) | |||||||
\(68\) | −1.59620 | − | 0.229847i | −0.193568 | − | 0.0278731i | ||||
\(69\) | −8.21692 | + | 9.20321i | −0.989201 | + | 1.10794i | ||||
\(70\) | −0.106996 | + | 0.0355989i | −0.0127884 | + | 0.00425488i | ||||
\(71\) | 2.86762 | + | 2.86762i | 0.340324 | + | 0.340324i | 0.856489 | − | 0.516165i | \(-0.172641\pi\) |
−0.516165 | + | 0.856489i | \(0.672641\pi\) | |||||||
\(72\) | −8.44169 | − | 0.858984i | −0.994863 | − | 0.101232i | ||||
\(73\) | −6.97993 | + | 6.97993i | −0.816939 | + | 0.816939i | −0.985663 | − | 0.168725i | \(-0.946035\pi\) |
0.168725 | + | 0.985663i | \(0.446035\pi\) | |||||||
\(74\) | 2.43401 | − | 4.86123i | 0.282948 | − | 0.565107i | ||||
\(75\) | −6.41093 | − | 5.72389i | −0.740271 | − | 0.660938i | ||||
\(76\) | −11.7036 | + | 2.98449i | −1.34249 | + | 0.342344i | ||||
\(77\) | −1.27075 | + | 0.526361i | −0.144815 | + | 0.0599845i | ||||
\(78\) | 3.02138 | + | 7.61427i | 0.342104 | + | 0.862146i | ||||
\(79\) | 8.01674 | 0.901954 | 0.450977 | − | 0.892536i | \(-0.351076\pi\) | ||||
0.450977 | + | 0.892536i | \(0.351076\pi\) | |||||||
\(80\) | −0.607297 | − | 0.489819i | −0.0678979 | − | 0.0547635i | ||||
\(81\) | 8.77067 | − | 2.01873i | 0.974519 | − | 0.224304i | ||||
\(82\) | −3.43776 | − | 3.96825i | −0.379637 | − | 0.438220i | ||||
\(83\) | 2.47115 | + | 5.96589i | 0.271244 | + | 0.654841i | 0.999537 | − | 0.0304247i | \(-0.00968596\pi\) |
−0.728293 | + | 0.685266i | \(0.759686\pi\) | |||||||
\(84\) | −1.08404 | + | 0.911115i | −0.118278 | + | 0.0994108i | ||||
\(85\) | 0.145306 | + | 0.0601876i | 0.0157606 | + | 0.00652826i | ||||
\(86\) | −4.71117 | + | 9.40921i | −0.508019 | + | 1.01462i | ||||
\(87\) | −7.15536 | − | 14.8409i | −0.767135 | − | 1.59111i | ||||
\(88\) | −7.81560 | − | 5.43018i | −0.833146 | − | 0.578860i | ||||
\(89\) | 5.43308 | − | 5.43308i | 0.575905 | − | 0.575905i | −0.357867 | − | 0.933773i | \(-0.616496\pi\) |
0.933773 | + | 0.357867i | \(0.116496\pi\) | |||||||
\(90\) | 0.777059 | + | 0.284610i | 0.0819092 | + | 0.0300006i | ||||
\(91\) | 1.26304 | + | 0.523167i | 0.132402 | + | 0.0548428i | ||||
\(92\) | −11.4065 | + | 8.53503i | −1.18921 | + | 0.889838i | ||||
\(93\) | 0.732678 | + | 12.9408i | 0.0759752 | + | 1.34190i | ||||
\(94\) | −0.0403928 | + | 0.563918i | −0.00416620 | + | 0.0581637i | ||||
\(95\) | 1.17794 | 0.120854 | ||||||||
\(96\) | −9.35752 | − | 2.90463i | −0.955047 | − | 0.296453i | ||||
\(97\) | 2.61408 | 0.265419 | 0.132710 | − | 0.991155i | \(-0.457632\pi\) | ||||
0.132710 | + | 0.991155i | \(0.457632\pi\) | |||||||
\(98\) | 0.690393 | − | 9.63848i | 0.0697402 | − | 0.973633i | ||||
\(99\) | 9.70219 | + | 2.78555i | 0.975107 | + | 0.279958i | ||||
\(100\) | −5.94548 | − | 7.94577i | −0.594548 | − | 0.794577i | ||||
\(101\) | 12.1420 | + | 5.02940i | 1.20818 | + | 0.500444i | 0.893633 | − | 0.448798i | \(-0.148148\pi\) |
0.314546 | + | 0.949242i | \(0.398148\pi\) | |||||||
\(102\) | 1.97488 | + | 0.0295259i | 0.195542 | + | 0.00292350i | ||||
\(103\) | 8.46981 | − | 8.46981i | 0.834555 | − | 0.834555i | −0.153581 | − | 0.988136i | \(-0.549081\pi\) |
0.988136 | + | 0.153581i | \(0.0490806\pi\) | |||||||
\(104\) | 1.67651 | + | 9.30934i | 0.164395 | + | 0.912856i | ||||
\(105\) | 0.124401 | − | 0.0599785i | 0.0121403 | − | 0.00585330i | ||||
\(106\) | −2.35230 | + | 4.69804i | −0.228476 | + | 0.456314i | ||||
\(107\) | 1.03423 | + | 0.428394i | 0.0999833 | + | 0.0414144i | 0.432114 | − | 0.901819i | \(-0.357768\pi\) |
−0.332131 | + | 0.943233i | \(0.607768\pi\) | |||||||
\(108\) | 10.3886 | − | 0.277005i | 0.999645 | − | 0.0266548i | ||||
\(109\) | −0.703211 | − | 1.69770i | −0.0673554 | − | 0.162610i | 0.886617 | − | 0.462504i | \(-0.153049\pi\) |
−0.953973 | + | 0.299894i | \(0.903049\pi\) | |||||||
\(110\) | 0.607732 | + | 0.701511i | 0.0579450 | + | 0.0668865i | ||||
\(111\) | −2.19625 | + | 6.28573i | −0.208459 | + | 0.596616i | ||||
\(112\) | −1.43547 | + | 0.783027i | −0.135639 | + | 0.0739891i | ||||
\(113\) | −1.39540 | −0.131268 | −0.0656339 | − | 0.997844i | \(-0.520907\pi\) | ||||
−0.0656339 | + | 0.997844i | \(0.520907\pi\) | |||||||
\(114\) | 13.7497 | − | 5.45594i | 1.28777 | − | 0.510996i | ||||
\(115\) | 1.28363 | − | 0.531696i | 0.119699 | − | 0.0495809i | ||||
\(116\) | −4.70097 | − | 18.4346i | −0.436474 | − | 1.71161i | ||||
\(117\) | −4.86112 | − | 8.77657i | −0.449411 | − | 0.811394i | ||||
\(118\) | −1.51990 | + | 3.03556i | −0.139918 | + | 0.279446i | ||||
\(119\) | 0.233075 | − | 0.233075i | 0.0213659 | − | 0.0213659i | ||||
\(120\) | 0.814309 | + | 0.499999i | 0.0743359 | + | 0.0456435i | ||||
\(121\) | 0.227201 | + | 0.227201i | 0.0206547 | + | 0.0206547i | ||||
\(122\) | −12.7980 | + | 4.25808i | −1.15868 | + | 0.385508i | ||||
\(123\) | 4.79661 | + | 4.28257i | 0.432495 | + | 0.386146i | ||||
\(124\) | −2.13316 | + | 14.8139i | −0.191563 | + | 1.33033i | ||||
\(125\) | 0.743597 | + | 1.79520i | 0.0665093 | + | 0.160568i | ||||
\(126\) | 1.17429 | − | 1.27631i | 0.104614 | − | 0.113703i | ||||
\(127\) | 6.87310i | 0.609889i | 0.952370 | + | 0.304944i | \(0.0986379\pi\) | ||||
−0.952370 | + | 0.304944i | \(0.901362\pi\) | |||||||
\(128\) | −9.92574 | − | 5.42951i | −0.877320 | − | 0.479906i | ||||
\(129\) | 4.25097 | − | 12.1664i | 0.374277 | − | 1.07119i | ||||
\(130\) | 0.0659097 | − | 0.920156i | 0.00578067 | − | 0.0807030i | ||||
\(131\) | −16.0581 | + | 6.65149i | −1.40300 | + | 0.581143i | −0.950529 | − | 0.310635i | \(-0.899458\pi\) |
−0.452474 | + | 0.891778i | \(0.649458\pi\) | |||||||
\(132\) | 10.3431 | + | 5.37363i | 0.900252 | + | 0.467715i | ||||
\(133\) | 0.944722 | − | 2.28076i | 0.0819178 | − | 0.197767i | ||||
\(134\) | 4.39383 | + | 13.2061i | 0.379569 | + | 1.14083i | ||||
\(135\) | −0.988424 | − | 0.224175i | −0.0850700 | − | 0.0192939i | ||||
\(136\) | 2.22838 | + | 0.485502i | 0.191082 | + | 0.0416315i | ||||
\(137\) | −10.7787 | − | 10.7787i | −0.920890 | − | 0.920890i | 0.0762022 | − | 0.997092i | \(-0.475721\pi\) |
−0.997092 | + | 0.0762022i | \(0.975721\pi\) | |||||||
\(138\) | 12.5207 | − | 12.1518i | 1.06583 | − | 1.03443i | ||||
\(139\) | −1.41183 | + | 3.40847i | −0.119750 | + | 0.289102i | −0.972376 | − | 0.233419i | \(-0.925009\pi\) |
0.852626 | + | 0.522521i | \(0.175009\pi\) | |||||||
\(140\) | 0.154525 | − | 0.0394050i | 0.0130597 | − | 0.00333033i | ||||
\(141\) | −0.0391407 | − | 0.691318i | −0.00329624 | − | 0.0582195i | ||||
\(142\) | −3.75532 | − | 4.33481i | −0.315140 | − | 0.363769i | ||||
\(143\) | − | 11.2526i | − | 0.940990i | ||||||
\(144\) | 11.8211 | + | 2.06463i | 0.985088 | + | 0.172052i | ||||
\(145\) | 1.85541i | 0.154083i | ||||||||
\(146\) | 10.5511 | − | 9.14063i | 0.873218 | − | 0.756484i | ||||
\(147\) | 0.668992 | + | 11.8160i | 0.0551776 | + | 0.974567i | ||||
\(148\) | −3.92459 | + | 6.61132i | −0.322599 | + | 0.543447i | ||||
\(149\) | −6.49923 | + | 15.6905i | −0.532438 | + | 1.28542i | 0.397466 | + | 0.917617i | \(0.369889\pi\) |
−0.929904 | + | 0.367802i | \(0.880111\pi\) | |||||||
\(150\) | 8.46492 | + | 8.72187i | 0.691158 | + | 0.712138i | ||||
\(151\) | −1.50166 | − | 1.50166i | −0.122204 | − | 0.122204i | 0.643360 | − | 0.765564i | \(-0.277540\pi\) |
−0.765564 | + | 0.643360i | \(0.777540\pi\) | |||||||
\(152\) | 16.8106 | − | 3.02740i | 1.36352 | − | 0.245554i | ||||
\(153\) | −2.40354 | + | 0.273040i | −0.194315 | + | 0.0220740i | ||||
\(154\) | 1.84570 | − | 0.614089i | 0.148731 | − | 0.0494847i | ||||
\(155\) | 0.558586 | − | 1.34855i | 0.0448667 | − | 0.108318i | ||||
\(156\) | −3.49262 | − | 11.0460i | −0.279633 | − | 0.884385i | ||||
\(157\) | 12.7594 | − | 5.28511i | 1.01831 | − | 0.421798i | 0.189830 | − | 0.981817i | \(-0.439206\pi\) |
0.828480 | + | 0.560019i | \(0.189206\pi\) | |||||||
\(158\) | −11.3084 | − | 0.810009i | −0.899649 | − | 0.0644408i | ||||
\(159\) | 2.12252 | − | 6.07473i | 0.168327 | − | 0.481757i | ||||
\(160\) | 0.807162 | + | 0.752300i | 0.0638117 | + | 0.0594745i | ||||
\(161\) | − | 2.91184i | − | 0.229485i | ||||||
\(162\) | −12.5759 | + | 1.96144i | −0.988054 | + | 0.154105i | ||||
\(163\) | 3.02496 | + | 7.30291i | 0.236933 | + | 0.572008i | 0.996963 | − | 0.0778809i | \(-0.0248154\pi\) |
−0.760029 | + | 0.649889i | \(0.774815\pi\) | |||||||
\(164\) | 4.44836 | + | 5.94496i | 0.347358 | + | 0.464223i | ||||
\(165\) | −0.847950 | − | 0.757077i | −0.0660128 | − | 0.0589384i | ||||
\(166\) | −2.88301 | − | 8.66516i | −0.223765 | − | 0.672547i | ||||
\(167\) | 1.65109 | + | 1.65109i | 0.127765 | + | 0.127765i | 0.768098 | − | 0.640333i | \(-0.221203\pi\) |
−0.640333 | + | 0.768098i | \(0.721203\pi\) | |||||||
\(168\) | 1.62120 | − | 1.17569i | 0.125079 | − | 0.0907062i | ||||
\(169\) | 1.28389 | − | 1.28389i | 0.0987607 | − | 0.0987607i | ||||
\(170\) | −0.198887 | − | 0.0995822i | −0.0152539 | − | 0.00763761i | ||||
\(171\) | −15.8485 | + | 8.77810i | −1.21197 | + | 0.671278i | ||||
\(172\) | 7.59628 | − | 12.7966i | 0.579211 | − | 0.975733i | ||||
\(173\) | −9.81571 | + | 4.06580i | −0.746275 | + | 0.309117i | −0.723221 | − | 0.690617i | \(-0.757339\pi\) |
−0.0230541 | + | 0.999734i | \(0.507339\pi\) | |||||||
\(174\) | 8.59383 | + | 21.6575i | 0.651497 | + | 1.64185i | ||||
\(175\) | 2.02838 | 0.153331 | ||||||||
\(176\) | 10.4760 | + | 8.44950i | 0.789659 | + | 0.636905i | ||||
\(177\) | 1.37143 | − | 3.92508i | 0.103083 | − | 0.295027i | ||||
\(178\) | −8.21286 | + | 7.11494i | −0.615580 | + | 0.533288i | ||||
\(179\) | −6.28126 | − | 15.1643i | −0.469484 | − | 1.13343i | −0.964389 | − | 0.264487i | \(-0.914797\pi\) |
0.494906 | − | 0.868947i | \(-0.335203\pi\) | |||||||
\(180\) | −1.06736 | − | 0.479985i | −0.0795565 | − | 0.0357760i | ||||
\(181\) | 4.93385 | + | 2.04367i | 0.366730 | + | 0.151905i | 0.558436 | − | 0.829548i | \(-0.311402\pi\) |
−0.191705 | + | 0.981453i | \(0.561402\pi\) | |||||||
\(182\) | −1.72878 | − | 0.865596i | −0.128146 | − | 0.0641622i | ||||
\(183\) | 14.8799 | − | 7.17418i | 1.09996 | − | 0.530331i | ||||
\(184\) | 16.9524 | − | 10.8870i | 1.24975 | − | 0.802600i | ||||
\(185\) | 0.530208 | − | 0.530208i | 0.0389816 | − | 0.0389816i | ||||
\(186\) | 0.274022 | − | 18.3284i | 0.0200923 | − | 1.34390i | ||||
\(187\) | −2.50656 | − | 1.03825i | −0.183298 | − | 0.0759244i | ||||
\(188\) | 0.113956 | − | 0.791382i | 0.00831111 | − | 0.0577174i | ||||
\(189\) | −1.22679 | + | 1.73403i | −0.0892356 | + | 0.126132i | ||||
\(190\) | −1.66160 | − | 0.119018i | −0.120545 | − | 0.00863449i | ||||
\(191\) | 11.6455 | 0.842637 | 0.421318 | − | 0.906913i | \(-0.361567\pi\) | ||||
0.421318 | + | 0.906913i | \(0.361567\pi\) | |||||||
\(192\) | 12.9062 | + | 5.04276i | 0.931426 | + | 0.363930i | ||||
\(193\) | −6.03220 | −0.434207 | −0.217104 | − | 0.976149i | \(-0.569661\pi\) | ||||
−0.217104 | + | 0.976149i | \(0.569661\pi\) | |||||||
\(194\) | −3.68742 | − | 0.264126i | −0.264741 | − | 0.0189631i | ||||
\(195\) | 0.0638667 | + | 1.12804i | 0.00457359 | + | 0.0807804i | ||||
\(196\) | −1.94774 | + | 13.5263i | −0.139124 | + | 0.966162i | ||||
\(197\) | −0.581435 | − | 0.240838i | −0.0414255 | − | 0.0171590i | 0.361874 | − | 0.932227i | \(-0.382137\pi\) |
−0.403300 | + | 0.915068i | \(0.632137\pi\) | |||||||
\(198\) | −13.4045 | − | 4.90960i | −0.952613 | − | 0.348910i | ||||
\(199\) | −13.6071 | + | 13.6071i | −0.964583 | + | 0.964583i | −0.999394 | − | 0.0348110i | \(-0.988917\pi\) |
0.0348110 | + | 0.999394i | \(0.488917\pi\) | |||||||
\(200\) | 7.58385 | + | 11.8090i | 0.536259 | + | 0.835024i | ||||
\(201\) | −7.40291 | − | 15.3543i | −0.522161 | − | 1.08301i | ||||
\(202\) | −16.6194 | − | 8.32130i | −1.16934 | − | 0.585484i | ||||
\(203\) | 3.59250 | + | 1.48806i | 0.252144 | + | 0.104442i | ||||
\(204\) | −2.78278 | − | 0.241191i | −0.194834 | − | 0.0168867i | ||||
\(205\) | −0.277114 | − | 0.669012i | −0.0193545 | − | 0.0467259i | ||||
\(206\) | −12.8033 | + | 11.0917i | −0.892048 | + | 0.772797i | ||||
\(207\) | −13.3083 | + | 16.7194i | −0.924991 | + | 1.16208i | ||||
\(208\) | −1.42427 | − | 13.3011i | −0.0987551 | − | 0.922268i | ||||
\(209\) | −20.3197 | −1.40554 | ||||||||
\(210\) | −0.181540 | + | 0.0720362i | −0.0125275 | + | 0.00497097i | ||||
\(211\) | −6.94196 | + | 2.87545i | −0.477904 | + | 0.197954i | −0.608614 | − | 0.793466i | \(-0.708274\pi\) |
0.130710 | + | 0.991421i | \(0.458274\pi\) | |||||||
\(212\) | 3.79284 | − | 6.38938i | 0.260493 | − | 0.438824i | ||||
\(213\) | 5.23969 | + | 4.67816i | 0.359017 | + | 0.320542i | ||||
\(214\) | −1.41561 | − | 0.708791i | −0.0967689 | − | 0.0484520i | ||||
\(215\) | −1.02625 | + | 1.02625i | −0.0699896 | + | 0.0699896i | ||||
\(216\) | −14.6822 | − | 0.658919i | −0.998994 | − | 0.0448338i | ||||
\(217\) | −2.16311 | − | 2.16311i | −0.146841 | − | 0.146841i | ||||
\(218\) | 0.820413 | + | 2.46583i | 0.0555654 | + | 0.167007i | ||||
\(219\) | −11.3869 | + | 12.7536i | −0.769453 | + | 0.861811i | ||||
\(220\) | −0.786386 | − | 1.05096i | −0.0530181 | − | 0.0708555i | ||||
\(221\) | 1.03195 | + | 2.49135i | 0.0694164 | + | 0.167586i | ||||
\(222\) | 3.73313 | − | 8.64475i | 0.250552 | − | 0.580197i | ||||
\(223\) | − | 6.45182i | − | 0.432046i | −0.976388 | − | 0.216023i | \(-0.930691\pi\) | ||
0.976388 | − | 0.216023i | \(-0.0693086\pi\) | |||||||
\(224\) | 2.10399 | − | 0.959499i | 0.140578 | − | 0.0641092i | ||||
\(225\) | −11.6467 | − | 9.27054i | −0.776448 | − | 0.618036i | ||||
\(226\) | 1.96835 | + | 0.140990i | 0.130932 | + | 0.00937854i | ||||
\(227\) | −3.16606 | + | 1.31143i | −0.210139 | + | 0.0870424i | −0.485270 | − | 0.874364i | \(-0.661279\pi\) |
0.275131 | + | 0.961407i | \(0.411279\pi\) | |||||||
\(228\) | −19.9465 | + | 6.30689i | −1.32099 | + | 0.417684i | ||||
\(229\) | 8.63723 | − | 20.8521i | 0.570764 | − | 1.37795i | −0.330141 | − | 0.943932i | \(-0.607096\pi\) |
0.900905 | − | 0.434015i | \(-0.142904\pi\) | |||||||
\(230\) | −1.86441 | + | 0.620313i | −0.122935 | + | 0.0409022i | ||||
\(231\) | −2.14595 | + | 1.03464i | −0.141193 | + | 0.0680745i | ||||
\(232\) | 4.76855 | + | 26.4789i | 0.313071 | + | 1.73842i | ||||
\(233\) | 15.5223 | + | 15.5223i | 1.01690 | + | 1.01690i | 0.999855 | + | 0.0170465i | \(0.00542634\pi\) |
0.0170465 | + | 0.999855i | \(0.494574\pi\) | |||||||
\(234\) | 5.97032 | + | 12.8714i | 0.390292 | + | 0.841429i | ||||
\(235\) | −0.0298404 | + | 0.0720412i | −0.00194658 | + | 0.00469945i | ||||
\(236\) | 2.45068 | − | 4.12839i | 0.159526 | − | 0.268735i | ||||
\(237\) | 13.8632 | − | 0.784900i | 0.900512 | − | 0.0509847i | ||||
\(238\) | −0.352325 | + | 0.305225i | −0.0228378 | + | 0.0197848i | ||||
\(239\) | − | 22.3335i | − | 1.44463i | −0.691563 | − | 0.722316i | \(-0.743078\pi\) | ||
0.691563 | − | 0.722316i | \(-0.256922\pi\) | |||||||
\(240\) | −1.09814 | − | 0.787576i | −0.0708849 | − | 0.0508378i | ||||
\(241\) | − | 10.0345i | − | 0.646380i | −0.946334 | − | 0.323190i | \(-0.895245\pi\) | ||
0.946334 | − | 0.323190i | \(-0.104755\pi\) | |||||||
\(242\) | −0.297534 | − | 0.343447i | −0.0191262 | − | 0.0220776i | ||||
\(243\) | 14.9693 | − | 4.34968i | 0.960282 | − | 0.279032i | ||||
\(244\) | 18.4831 | − | 4.71333i | 1.18326 | − | 0.301740i | ||||
\(245\) | 0.510032 | − | 1.23133i | 0.0325848 | − | 0.0786666i | ||||
\(246\) | −6.33338 | − | 6.52563i | −0.403802 | − | 0.416059i | ||||
\(247\) | 14.2810 | + | 14.2810i | 0.908677 | + | 0.908677i | ||||
\(248\) | 4.50582 | − | 20.6810i | 0.286120 | − | 1.31324i | ||||
\(249\) | 4.85742 | + | 10.0748i | 0.307827 | + | 0.638462i | ||||
\(250\) | −0.867531 | − | 2.60744i | −0.0548675 | − | 0.164909i | ||||
\(251\) | −1.23078 | + | 2.97137i | −0.0776862 | + | 0.187551i | −0.957951 | − | 0.286931i | \(-0.907365\pi\) |
0.880265 | + | 0.474483i | \(0.157365\pi\) | |||||||
\(252\) | −1.78540 | + | 1.68171i | −0.112470 | + | 0.105938i | ||||
\(253\) | −22.1429 | + | 9.17189i | −1.39211 | + | 0.576632i | ||||
\(254\) | 0.694455 | − | 9.69519i | 0.0435740 | − | 0.608330i | ||||
\(255\) | 0.257167 | + | 0.0898547i | 0.0161044 | + | 0.00562692i | ||||
\(256\) | 13.4527 | + | 8.66176i | 0.840791 | + | 0.541360i | ||||
\(257\) | 22.7842i | 1.42124i | 0.703576 | + | 0.710620i | \(0.251585\pi\) | ||||
−0.703576 | + | 0.710620i | \(0.748415\pi\) | |||||||
\(258\) | −7.22571 | + | 16.7324i | −0.449853 | + | 1.04172i | ||||
\(259\) | −0.601372 | − | 1.45184i | −0.0373675 | − | 0.0902130i | ||||
\(260\) | −0.185944 | + | 1.29131i | −0.0115318 | + | 0.0800838i | ||||
\(261\) | −13.8267 | − | 24.9635i | −0.855850 | − | 1.54520i | ||||
\(262\) | 23.3236 | − | 7.76008i | 1.44094 | − | 0.479419i | ||||
\(263\) | 12.8553 | + | 12.8553i | 0.792690 | + | 0.792690i | 0.981931 | − | 0.189241i | \(-0.0606027\pi\) |
−0.189241 | + | 0.981931i | \(0.560603\pi\) | |||||||
\(264\) | −14.0470 | − | 8.62511i | −0.864535 | − | 0.530839i | ||||
\(265\) | −0.512409 | + | 0.512409i | −0.0314770 | + | 0.0314770i | ||||
\(266\) | −1.56307 | + | 3.12179i | −0.0958381 | + | 0.191409i | ||||
\(267\) | 8.86338 | − | 9.92726i | 0.542430 | − | 0.607539i | ||||
\(268\) | −4.86360 | − | 19.0724i | −0.297092 | − | 1.16503i | ||||
\(269\) | 11.7742 | − | 4.87704i | 0.717886 | − | 0.297358i | 0.00632279 | − | 0.999980i | \(-0.497987\pi\) |
0.711564 | + | 0.702622i | \(0.247987\pi\) | |||||||
\(270\) | 1.37162 | + | 0.416091i | 0.0834741 | + | 0.0253225i | ||||
\(271\) | −11.6627 | −0.708457 | −0.354228 | − | 0.935159i | \(-0.615256\pi\) | ||||
−0.354228 | + | 0.935159i | \(0.615256\pi\) | |||||||
\(272\) | −3.09429 | − | 0.910004i | −0.187619 | − | 0.0551771i | ||||
\(273\) | 2.23537 | + | 0.781042i | 0.135291 | + | 0.0472708i | ||||
\(274\) | 14.1154 | + | 16.2936i | 0.852743 | + | 0.984331i | ||||
\(275\) | −6.38912 | − | 15.4247i | −0.385278 | − | 0.930144i | ||||
\(276\) | −18.8895 | + | 15.8762i | −1.13701 | + | 0.955638i | ||||
\(277\) | 8.48904 | + | 3.51628i | 0.510057 | + | 0.211273i | 0.622843 | − | 0.782347i | \(-0.285977\pi\) |
−0.112786 | + | 0.993619i | \(0.535977\pi\) | |||||||
\(278\) | 2.33592 | − | 4.66533i | 0.140099 | − | 0.279808i | ||||
\(279\) | 2.53401 | + | 22.3066i | 0.151707 | + | 1.33546i | ||||
\(280\) | −0.221954 | + | 0.0399715i | −0.0132643 | + | 0.00238875i | ||||
\(281\) | 22.3102 | − | 22.3102i | 1.33091 | − | 1.33091i | 0.426362 | − | 0.904553i | \(-0.359795\pi\) |
0.904553 | − | 0.426362i | \(-0.140205\pi\) | |||||||
\(282\) | −0.0146387 | + | 0.979128i | −0.000871720 | + | 0.0583062i | ||||
\(283\) | −9.95203 | − | 4.12227i | −0.591587 | − | 0.245043i | 0.0667462 | − | 0.997770i | \(-0.478738\pi\) |
−0.658333 | + | 0.752727i | \(0.728738\pi\) | |||||||
\(284\) | 4.85927 | + | 6.49411i | 0.288344 | + | 0.385355i | ||||
\(285\) | 2.03698 | − | 0.115329i | 0.120660 | − | 0.00683150i | ||||
\(286\) | −1.13696 | + | 15.8729i | −0.0672298 | + | 0.938585i | ||||
\(287\) | −1.51762 | −0.0895820 | ||||||||
\(288\) | −16.4662 | − | 4.10676i | −0.970278 | − | 0.241993i | ||||
\(289\) | −16.3498 | −0.961755 | ||||||||
\(290\) | 0.187469 | − | 2.61723i | 0.0110086 | − | 0.153689i | ||||
\(291\) | 4.52048 | − | 0.255938i | 0.264995 | − | 0.0150034i | ||||
\(292\) | −15.8070 | + | 11.8277i | −0.925034 | + | 0.692163i | ||||
\(293\) | 23.2108 | + | 9.61422i | 1.35599 | + | 0.561669i | 0.937953 | − | 0.346762i | \(-0.112719\pi\) |
0.418035 | + | 0.908431i | \(0.362719\pi\) | |||||||
\(294\) | 0.250204 | − | 16.7352i | 0.0145922 | − | 0.976019i | ||||
\(295\) | −0.331084 | + | 0.331084i | −0.0192765 | + | 0.0192765i | ||||
\(296\) | 6.20403 | − | 8.92939i | 0.360602 | − | 0.519010i | ||||
\(297\) | 17.0505 | + | 3.86707i | 0.989373 | + | 0.224390i | ||||
\(298\) | 10.7532 | − | 21.4764i | 0.622915 | − | 1.24409i | ||||
\(299\) | 22.0085 | + | 9.11622i | 1.27279 | + | 0.527205i | ||||
\(300\) | −11.0594 | − | 13.1584i | −0.638512 | − | 0.759698i | ||||
\(301\) | 1.16399 | + | 2.81013i | 0.0670914 | + | 0.161973i | ||||
\(302\) | 1.96652 | + | 2.26997i | 0.113160 | + | 0.130622i | ||||
\(303\) | 21.4894 | + | 7.50845i | 1.23454 | + | 0.431349i | ||||
\(304\) | −24.0189 | + | 2.57191i | −1.37758 | + | 0.147509i | ||||
\(305\) | −1.86029 | −0.106520 | ||||||||
\(306\) | 3.41802 | − | 0.142297i | 0.195395 | − | 0.00813460i | ||||
\(307\) | 18.3982 | − | 7.62077i | 1.05004 | − | 0.434940i | 0.210133 | − | 0.977673i | \(-0.432610\pi\) |
0.839906 | + | 0.542733i | \(0.182610\pi\) | |||||||
\(308\) | −2.66559 | + | 0.679745i | −0.151886 | + | 0.0387321i | ||||
\(309\) | 13.8174 | − | 15.4759i | 0.786046 | − | 0.880395i | ||||
\(310\) | −0.924197 | + | 1.84582i | −0.0524909 | + | 0.104835i | ||||
\(311\) | −0.938468 | + | 0.938468i | −0.0532157 | + | 0.0532157i | −0.733214 | − | 0.679998i | \(-0.761981\pi\) |
0.679998 | + | 0.733214i | \(0.261981\pi\) | |||||||
\(312\) | 3.81061 | + | 15.9343i | 0.215733 | + | 0.902103i | ||||
\(313\) | 11.2850 | + | 11.2850i | 0.637867 | + | 0.637867i | 0.950029 | − | 0.312162i | \(-0.101053\pi\) |
−0.312162 | + | 0.950029i | \(0.601053\pi\) | |||||||
\(314\) | −18.5324 | + | 6.16597i | −1.04584 | + | 0.347966i | ||||
\(315\) | 0.209252 | − | 0.115899i | 0.0117900 | − | 0.00653020i | ||||
\(316\) | 15.8698 | + | 2.28520i | 0.892746 | + | 0.128552i | ||||
\(317\) | −7.57388 | − | 18.2850i | −0.425391 | − | 1.02699i | −0.980731 | − | 0.195362i | \(-0.937412\pi\) |
0.555340 | − | 0.831623i | \(-0.312588\pi\) | |||||||
\(318\) | −3.60781 | + | 8.35455i | −0.202316 | + | 0.468500i | ||||
\(319\) | − | 32.0062i | − | 1.79200i | ||||||
\(320\) | −1.06257 | − | 1.14275i | −0.0593994 | − | 0.0638816i | ||||
\(321\) | 1.83043 | + | 0.639555i | 0.102164 | + | 0.0356965i | ||||
\(322\) | −0.294211 | + | 4.10743i | −0.0163957 | + | 0.228898i | ||||
\(323\) | 4.49881 | − | 1.86347i | 0.250321 | − | 0.103686i | ||||
\(324\) | 17.9377 | − | 1.49614i | 0.996540 | − | 0.0831191i | ||||
\(325\) | −6.35034 | + | 15.3311i | −0.352253 | + | 0.850415i | ||||
\(326\) | −3.52913 | − | 10.6071i | −0.195460 | − | 0.587474i | ||||
\(327\) | −1.38227 | − | 2.86695i | −0.0764395 | − | 0.158543i | ||||
\(328\) | −5.67417 | − | 8.83542i | −0.313304 | − | 0.487854i | ||||
\(329\) | 0.115556 | + | 0.115556i | 0.00637082 | + | 0.00637082i | ||||
\(330\) | 1.11962 | + | 1.15361i | 0.0616332 | + | 0.0635041i | ||||
\(331\) | −4.79305 | + | 11.5714i | −0.263450 | + | 0.636024i | −0.999147 | − | 0.0412860i | \(-0.986855\pi\) |
0.735698 | + | 0.677310i | \(0.236855\pi\) | |||||||
\(332\) | 3.19125 | + | 12.5144i | 0.175143 | + | 0.686815i | ||||
\(333\) | −3.18251 | + | 11.0848i | −0.174400 | + | 0.607445i | ||||
\(334\) | −2.16220 | − | 2.49585i | −0.118310 | − | 0.136567i | ||||
\(335\) | 1.91959i | 0.104879i | ||||||||
\(336\) | −2.40566 | + | 1.49462i | −0.131240 | + | 0.0815381i | ||||
\(337\) | 7.03034i | 0.382967i | 0.981496 | + | 0.191484i | \(0.0613299\pi\) | ||||
−0.981496 | + | 0.191484i | \(0.938670\pi\) | |||||||
\(338\) | −1.94078 | + | 1.68133i | −0.105564 | + | 0.0914523i | ||||
\(339\) | −2.41303 | + | 0.136620i | −0.131058 | + | 0.00742018i | ||||
\(340\) | 0.270488 | + | 0.160566i | 0.0146693 | + | 0.00870792i | ||||
\(341\) | −9.63574 | + | 23.2627i | −0.521804 | + | 1.25975i | ||||
\(342\) | 23.2429 | − | 10.7811i | 1.25683 | − | 0.582973i | ||||
\(343\) | −3.99847 | − | 3.99847i | −0.215897 | − | 0.215897i | ||||
\(344\) | −12.0083 | + | 17.2834i | −0.647443 | + | 0.931857i | ||||
\(345\) | 2.16770 | − | 1.04513i | 0.116705 | − | 0.0562679i | ||||
\(346\) | 14.2568 | − | 4.74344i | 0.766453 | − | 0.255009i | ||||
\(347\) | 4.70857 | − | 11.3675i | 0.252769 | − | 0.610240i | −0.745656 | − | 0.666331i | \(-0.767864\pi\) |
0.998426 | + | 0.0560914i | \(0.0178638\pi\) | |||||||
\(348\) | −9.93418 | − | 31.4184i | −0.532528 | − | 1.68420i | ||||
\(349\) | −29.2204 | + | 12.1035i | −1.56413 | + | 0.647885i | −0.985801 | − | 0.167917i | \(-0.946296\pi\) |
−0.578332 | + | 0.815802i | \(0.696296\pi\) | |||||||
\(350\) | −2.86123 | − | 0.204947i | −0.152939 | − | 0.0109549i | ||||
\(351\) | −9.26554 | − | 14.7012i | −0.494558 | − | 0.784693i | ||||
\(352\) | −13.9237 | − | 12.9774i | −0.742137 | − | 0.691695i | ||||
\(353\) | 14.9632i | 0.796411i | 0.917296 | + | 0.398206i | \(0.130367\pi\) | ||||
−0.917296 | + | 0.398206i | \(0.869633\pi\) | |||||||
\(354\) | −2.33113 | + | 5.39815i | −0.123898 | + | 0.286908i | ||||
\(355\) | −0.302712 | − | 0.730811i | −0.0160663 | − | 0.0387874i | ||||
\(356\) | 12.3039 | − | 9.20651i | 0.652108 | − | 0.487944i | ||||
\(357\) | 0.380232 | − | 0.425872i | 0.0201240 | − | 0.0225395i | ||||
\(358\) | 7.32815 | + | 22.0254i | 0.387305 | + | 1.16408i | ||||
\(359\) | −19.5707 | − | 19.5707i | −1.03290 | − | 1.03290i | −0.999440 | − | 0.0334594i | \(-0.989348\pi\) |
−0.0334594 | − | 0.999440i | \(-0.510652\pi\) | |||||||
\(360\) | 1.45712 | + | 0.784913i | 0.0767971 | + | 0.0413685i | ||||
\(361\) | 12.3532 | − | 12.3532i | 0.650170 | − | 0.650170i | ||||
\(362\) | −6.75320 | − | 3.38131i | −0.354940 | − | 0.177718i | ||||
\(363\) | 0.415140 | + | 0.370650i | 0.0217892 | + | 0.0194541i | ||||
\(364\) | 2.35115 | + | 1.39568i | 0.123234 | + | 0.0731537i | ||||
\(365\) | 1.77883 | − | 0.736815i | 0.0931082 | − | 0.0385667i | ||||
\(366\) | −21.7145 | + | 8.61644i | −1.13504 | + | 0.450388i | ||||
\(367\) | −21.5484 | −1.12482 | −0.562410 | − | 0.826859i | \(-0.690126\pi\) | ||||
−0.562410 | + | 0.826859i | \(0.690126\pi\) | |||||||
\(368\) | −25.0131 | + | 13.6443i | −1.30390 | + | 0.711259i | ||||
\(369\) | 8.71398 | + | 6.93614i | 0.453632 | + | 0.361081i | ||||
\(370\) | −0.801482 | + | 0.694338i | −0.0416671 | + | 0.0360969i | ||||
\(371\) | 0.581184 | + | 1.40310i | 0.0301736 | + | 0.0728455i | ||||
\(372\) | −2.23843 | + | 25.8263i | −0.116057 | + | 1.33903i | ||||
\(373\) | −27.1858 | − | 11.2607i | −1.40763 | − | 0.583059i | −0.455910 | − | 0.890026i | \(-0.650686\pi\) |
−0.951720 | + | 0.306967i | \(0.900686\pi\) | |||||||
\(374\) | 3.43085 | + | 1.71782i | 0.177405 | + | 0.0888262i | ||||
\(375\) | 1.46165 | + | 3.03160i | 0.0754794 | + | 0.156551i | ||||
\(376\) | −0.240707 | + | 1.10481i | −0.0124135 | + | 0.0569761i | ||||
\(377\) | −22.4944 | + | 22.4944i | −1.15852 | + | 1.15852i | ||||
\(378\) | 1.90571 | − | 2.32207i | 0.0980192 | − | 0.119434i | ||||
\(379\) | −11.5245 | − | 4.77361i | −0.591975 | − | 0.245204i | 0.0665251 | − | 0.997785i | \(-0.478809\pi\) |
−0.658500 | + | 0.752581i | \(0.728809\pi\) | |||||||
\(380\) | 2.33182 | + | 0.335774i | 0.119620 | + | 0.0172249i | ||||
\(381\) | 0.672929 | + | 11.8855i | 0.0344752 | + | 0.608914i | ||||
\(382\) | −16.4271 | − | 1.17665i | −0.840484 | − | 0.0602029i | ||||
\(383\) | −33.6911 | −1.72154 | −0.860768 | − | 0.508998i | \(-0.830016\pi\) | ||||
−0.860768 | + | 0.508998i | \(0.830016\pi\) | |||||||
\(384\) | −17.6960 | − | 8.41735i | −0.903045 | − | 0.429546i | ||||
\(385\) | 0.268286 | 0.0136731 | ||||||||
\(386\) | 8.50902 | + | 0.609492i | 0.433098 | + | 0.0310223i | ||||
\(387\) | 6.15994 | − | 21.4554i | 0.313127 | − | 1.09064i | ||||
\(388\) | 5.17478 | + | 0.745151i | 0.262710 | + | 0.0378293i | ||||
\(389\) | −34.0564 | − | 14.1066i | −1.72673 | − | 0.715233i | −0.999587 | − | 0.0287433i | \(-0.990849\pi\) |
−0.727139 | − | 0.686490i | \(-0.759151\pi\) | |||||||
\(390\) | 0.0238862 | − | 1.59766i | 0.00120952 | − | 0.0809008i | ||||
\(391\) | 4.06135 | − | 4.06135i | 0.205391 | − | 0.205391i | ||||
\(392\) | 4.11417 | − | 18.8834i | 0.207797 | − | 0.953754i | ||||
\(393\) | −27.1178 | + | 13.0745i | −1.36791 | + | 0.659521i | ||||
\(394\) | 0.795838 | + | 0.398474i | 0.0400937 | + | 0.0200749i | ||||
\(395\) | −1.44466 | − | 0.598399i | −0.0726889 | − | 0.0301087i | ||||
\(396\) | 18.4123 | + | 8.27986i | 0.925251 | + | 0.416078i | ||||
\(397\) | 11.3891 | + | 27.4958i | 0.571604 | + | 1.37997i | 0.900189 | + | 0.435499i | \(0.143428\pi\) |
−0.328586 | + | 0.944474i | \(0.606572\pi\) | |||||||
\(398\) | 20.5690 | − | 17.8193i | 1.03103 | − | 0.893202i | ||||
\(399\) | 1.41039 | − | 4.03657i | 0.0706077 | − | 0.202081i | ||||
\(400\) | −9.50460 | − | 17.4241i | −0.475230 | − | 0.871204i | ||||
\(401\) | 9.31753 | 0.465295 | 0.232648 | − | 0.972561i | \(-0.425261\pi\) | ||||
0.232648 | + | 0.972561i | \(0.425261\pi\) | |||||||
\(402\) | 8.89114 | + | 22.4068i | 0.443450 | + | 1.11755i | ||||
\(403\) | 23.1215 | − | 9.57726i | 1.15177 | − | 0.477077i | ||||
\(404\) | 22.6025 | + | 13.4172i | 1.12452 | + | 0.667532i | ||||
\(405\) | −1.73121 | − | 0.290888i | −0.0860246 | − | 0.0144543i | ||||
\(406\) | −4.91723 | − | 2.46205i | −0.244038 | − | 0.122189i | ||||
\(407\) | −9.14621 | + | 9.14621i | −0.453361 | + | 0.453361i | ||||
\(408\) | 3.90102 | + | 0.621395i | 0.193130 | + | 0.0307636i | ||||
\(409\) | 17.7916 | + | 17.7916i | 0.879736 | + | 0.879736i | 0.993507 | − | 0.113771i | \(-0.0362930\pi\) |
−0.113771 | + | 0.993507i | \(0.536293\pi\) | |||||||
\(410\) | 0.323300 | + | 0.971708i | 0.0159667 | + | 0.0479892i | ||||
\(411\) | −19.6948 | − | 17.5842i | −0.971473 | − | 0.867363i | ||||
\(412\) | 19.1810 | − | 14.3523i | 0.944981 | − | 0.707089i | ||||
\(413\) | 0.375523 | + | 0.906592i | 0.0184783 | + | 0.0446105i | ||||
\(414\) | 20.4620 | − | 22.2398i | 1.00565 | − | 1.09302i | ||||
\(415\) | − | 1.25954i | − | 0.0618285i | ||||||
\(416\) | 0.665128 | + | 18.9065i | 0.0326106 | + | 0.926967i | ||||
\(417\) | −2.10774 | + | 6.03242i | −0.103217 | + | 0.295409i | ||||
\(418\) | 28.6629 | + | 2.05309i | 1.40195 | + | 0.100420i | ||||
\(419\) | 9.75715 | − | 4.04154i | 0.476668 | − | 0.197442i | −0.131397 | − | 0.991330i | \(-0.541946\pi\) |
0.608065 | + | 0.793888i | \(0.291946\pi\) | |||||||
\(420\) | 0.263359 | − | 0.0832714i | 0.0128506 | − | 0.00406323i | ||||
\(421\) | 1.73340 | − | 4.18479i | 0.0844806 | − | 0.203954i | −0.875994 | − | 0.482322i | \(-0.839793\pi\) |
0.960474 | + | 0.278368i | \(0.0897935\pi\) | |||||||
\(422\) | 10.0829 | − | 3.35470i | 0.490826 | − | 0.163304i | ||||
\(423\) | −0.135371 | − | 1.19165i | −0.00658195 | − | 0.0579401i | ||||
\(424\) | −5.99576 | + | 8.62963i | −0.291180 | + | 0.419092i | ||||
\(425\) | 2.82912 | + | 2.82912i | 0.137233 | + | 0.137233i | ||||
\(426\) | −6.91842 | − | 7.12843i | −0.335198 | − | 0.345373i | ||||
\(427\) | −1.49198 | + | 3.60195i | −0.0722018 | + | 0.174311i | ||||
\(428\) | 1.92524 | + | 1.14285i | 0.0930599 | + | 0.0552419i | ||||
\(429\) | −1.10172 | − | 19.4589i | −0.0531913 | − | 0.939485i | ||||
\(430\) | 1.55132 | − | 1.34393i | 0.0748112 | − | 0.0648103i | ||||
\(431\) | 24.2865i | 1.16984i | 0.811092 | + | 0.584919i | \(0.198874\pi\) | ||||
−0.811092 | + | 0.584919i | \(0.801126\pi\) | |||||||
\(432\) | 20.6441 | + | 2.41295i | 0.993238 | + | 0.116093i | ||||
\(433\) | − | 21.4987i | − | 1.03316i | −0.856239 | − | 0.516580i | \(-0.827205\pi\) | ||
0.856239 | − | 0.516580i | \(-0.172795\pi\) | |||||||
\(434\) | 2.83272 | + | 3.26984i | 0.135975 | + | 0.156957i | ||||
\(435\) | 0.181658 | + | 3.20852i | 0.00870985 | + | 0.153837i | ||||
\(436\) | −0.908128 | − | 3.56119i | −0.0434915 | − | 0.170550i | ||||
\(437\) | 16.4619 | − | 39.7424i | 0.787478 | − | 1.90114i | ||||
\(438\) | 17.3509 | − | 16.8398i | 0.829060 | − | 0.804635i | ||||
\(439\) | −1.71247 | − | 1.71247i | −0.0817316 | − | 0.0817316i | 0.665059 | − | 0.746791i | \(-0.268406\pi\) |
−0.746791 | + | 0.665059i | \(0.768406\pi\) | |||||||
\(440\) | 1.00309 | + | 1.56194i | 0.0478203 | + | 0.0744623i | ||||
\(441\) | 2.31375 | + | 20.3677i | 0.110179 | + | 0.969890i | ||||
\(442\) | −1.20394 | − | 3.61856i | −0.0572657 | − | 0.172117i | ||||
\(443\) | 1.69988 | − | 4.10388i | 0.0807639 | − | 0.194981i | −0.878339 | − | 0.478037i | \(-0.841348\pi\) |
0.959103 | + | 0.283056i | \(0.0913483\pi\) | |||||||
\(444\) | −6.13942 | + | 11.8171i | −0.291364 | + | 0.560814i | ||||
\(445\) | −1.38462 | + | 0.573527i | −0.0656371 | + | 0.0271878i | ||||
\(446\) | −0.651889 | + | 9.10093i | −0.0308679 | + | 0.430942i | ||||
\(447\) | −9.70278 | + | 27.7697i | −0.458926 | + | 1.31346i | ||||
\(448\) | −3.06483 | + | 1.14088i | −0.144800 | + | 0.0539016i | ||||
\(449\) | − | 6.34782i | − | 0.299572i | −0.988718 | − | 0.149786i | \(-0.952142\pi\) | ||
0.988718 | − | 0.149786i | \(-0.0478585\pi\) | |||||||
\(450\) | 15.4922 | + | 14.2538i | 0.730308 | + | 0.671930i | ||||
\(451\) | 4.78028 | + | 11.5406i | 0.225095 | + | 0.543427i | ||||
\(452\) | −2.76230 | − | 0.397762i | −0.129928 | − | 0.0187091i | ||||
\(453\) | −2.74382 | − | 2.44977i | −0.128916 | − | 0.115100i | ||||
\(454\) | 4.59855 | − | 1.53000i | 0.215821 | − | 0.0718064i | ||||
\(455\) | −0.188555 | − | 0.188555i | −0.00883961 | − | 0.00883961i | ||||
\(456\) | 28.7738 | − | 6.88110i | 1.34746 | − | 0.322237i | ||||
\(457\) | 10.0211 | − | 10.0211i | 0.468765 | − | 0.468765i | −0.432749 | − | 0.901514i | \(-0.642456\pi\) |
0.901514 | + | 0.432749i | \(0.142456\pi\) | |||||||
\(458\) | −14.2906 | + | 28.5413i | −0.667754 | + | 1.33365i | ||||
\(459\) | −4.12966 | + | 0.707488i | −0.192756 | + | 0.0330227i | ||||
\(460\) | 2.69261 | − | 0.686634i | 0.125544 | − | 0.0320145i | ||||
\(461\) | −19.1656 | + | 7.93865i | −0.892631 | + | 0.369740i | −0.781382 | − | 0.624053i | \(-0.785485\pi\) |
−0.111249 | + | 0.993793i | \(0.535485\pi\) | |||||||
\(462\) | 3.13161 | − | 1.24264i | 0.145696 | − | 0.0578129i | ||||
\(463\) | 30.9634 | 1.43899 | 0.719496 | − | 0.694496i | \(-0.244373\pi\) | ||||
0.719496 | + | 0.694496i | \(0.244373\pi\) | |||||||
\(464\) | −4.05109 | − | 37.8329i | −0.188067 | − | 1.75635i | ||||
\(465\) | 0.833919 | − | 2.38670i | 0.0386721 | − | 0.110681i | ||||
\(466\) | −20.3274 | − | 23.4642i | −0.941649 | − | 1.08696i | ||||
\(467\) | 2.87599 | + | 6.94326i | 0.133085 | + | 0.321296i | 0.976348 | − | 0.216206i | \(-0.0693682\pi\) |
−0.843263 | + | 0.537502i | \(0.819368\pi\) | |||||||
\(468\) | −7.12121 | − | 18.7596i | −0.329178 | − | 0.867164i | ||||
\(469\) | 3.71679 | + | 1.53954i | 0.171625 | + | 0.0710895i | ||||
\(470\) | 0.0493719 | − | 0.0986062i | 0.00227736 | − | 0.00454837i | ||||
\(471\) | 21.5471 | − | 10.3887i | 0.992839 | − | 0.478685i | ||||
\(472\) | −3.87406 | + | 5.57589i | −0.178318 | + | 0.256651i | ||||
\(473\) | 17.7030 | − | 17.7030i | 0.813987 | − | 0.813987i | ||||
\(474\) | −19.6347 | − | 0.293553i | −0.901853 | − | 0.0134834i | ||||
\(475\) | 27.6845 | + | 11.4673i | 1.27025 | + | 0.526155i | ||||
\(476\) | 0.527829 | − | 0.394952i | 0.0241930 | − | 0.0181026i | ||||
\(477\) | 3.07567 | − | 10.7127i | 0.140825 | − | 0.490502i | ||||
\(478\) | −2.25657 | + | 31.5036i | −0.103213 | + | 1.44094i | ||||
\(479\) | −12.3852 | −0.565894 | −0.282947 | − | 0.959136i | \(-0.591312\pi\) | ||||
−0.282947 | + | 0.959136i | \(0.591312\pi\) | |||||||
\(480\) | 1.46947 | + | 1.22191i | 0.0670716 | + | 0.0557723i | ||||
\(481\) | 12.8562 | 0.586192 | ||||||||
\(482\) | −1.01388 | + | 14.1547i | −0.0461812 | + | 0.644729i | ||||
\(483\) | −0.285091 | − | 5.03538i | −0.0129721 | − | 0.229118i | ||||
\(484\) | 0.384999 | + | 0.514528i | 0.0175000 | + | 0.0233876i | ||||
\(485\) | −0.471072 | − | 0.195124i | −0.0213903 | − | 0.00886014i | ||||
\(486\) | −21.5552 | + | 4.62316i | −0.977764 | + | 0.209711i | ||||
\(487\) | −8.82766 | + | 8.82766i | −0.400019 | + | 0.400019i | −0.878240 | − | 0.478220i | \(-0.841282\pi\) |
0.478220 | + | 0.878240i | \(0.341282\pi\) | |||||||
\(488\) | −26.5485 | + | 4.78109i | −1.20180 | + | 0.216430i | ||||
\(489\) | 5.94602 | + | 12.3326i | 0.268889 | + | 0.557700i | ||||
\(490\) | −0.843864 | + | 1.68538i | −0.0381219 | + | 0.0761375i | ||||
\(491\) | −9.13225 | − | 3.78270i | −0.412133 | − | 0.170711i | 0.166977 | − | 0.985961i | \(-0.446600\pi\) |
−0.579109 | + | 0.815250i | \(0.696600\pi\) | |||||||
\(492\) | 8.27452 | + | 9.84498i | 0.373044 | + | 0.443846i | ||||
\(493\) | 2.93521 | + | 7.08623i | 0.132195 | + | 0.319148i | ||||
\(494\) | −18.7018 | − | 21.5877i | −0.841434 | − | 0.971276i | ||||
\(495\) | −1.54047 | − | 1.22618i | −0.0692389 | − | 0.0551126i | ||||
\(496\) | −8.44551 | + | 28.7173i | −0.379215 | + | 1.28945i | ||||
\(497\) | −1.65780 | −0.0743626 | ||||||||
\(498\) | −5.83393 | − | 14.7022i | −0.261425 | − | 0.658823i | ||||
\(499\) | −4.86758 | + | 2.01622i | −0.217903 | + | 0.0902583i | −0.488965 | − | 0.872304i | \(-0.662625\pi\) |
0.271062 | + | 0.962562i | \(0.412625\pi\) | |||||||
\(500\) | 0.960283 | + | 3.76571i | 0.0429452 | + | 0.168408i | ||||
\(501\) | 3.01685 | + | 2.69354i | 0.134783 | + | 0.120339i | ||||
\(502\) | 2.03637 | − | 4.06705i | 0.0908875 | − | 0.181522i | ||||
\(503\) | −0.926311 | + | 0.926311i | −0.0413022 | + | 0.0413022i | −0.727456 | − | 0.686154i | \(-0.759298\pi\) |
0.686154 | + | 0.727456i | \(0.259298\pi\) | |||||||
\(504\) | 2.68841 | − | 2.19182i | 0.119751 | − | 0.0976315i | ||||
\(505\) | −1.81265 | − | 1.81265i | −0.0806620 | − | 0.0806620i | ||||
\(506\) | 32.1615 | − | 10.7006i | 1.42975 | − | 0.475698i | ||||
\(507\) | 2.09450 | − | 2.34591i | 0.0930201 | − | 0.104185i | ||||
\(508\) | −1.95920 | + | 13.6059i | −0.0869253 | + | 0.603662i | ||||
\(509\) | 1.79808 | + | 4.34096i | 0.0796987 | + | 0.192410i | 0.958706 | − | 0.284398i | \(-0.0917938\pi\) |
−0.879008 | + | 0.476808i | \(0.841794\pi\) | |||||||
\(510\) | −0.353681 | − | 0.152733i | −0.0156613 | − | 0.00676314i | ||||
\(511\) | − | 4.03517i | − | 0.178505i | ||||||
\(512\) | −18.1011 | − | 13.5775i | −0.799964 | − | 0.600048i | ||||
\(513\) | −26.5471 | + | 16.7315i | −1.17208 | + | 0.738714i | ||||
\(514\) | 2.30211 | − | 32.1394i | 0.101542 | − | 1.41761i | ||||
\(515\) | −2.15853 | + | 0.894090i | −0.0951160 | + | 0.0393983i | ||||
\(516\) | 11.8832 | − | 22.8727i | 0.523130 | − | 1.00691i | ||||
\(517\) | 0.514755 | − | 1.24273i | 0.0226389 | − | 0.0546551i | ||||
\(518\) | 0.701602 | + | 2.10873i | 0.0308266 | + | 0.0926522i | ||||
\(519\) | −16.5761 | + | 7.99195i | −0.727608 | + | 0.350807i | ||||
\(520\) | 0.392767 | − | 1.80274i | 0.0172240 | − | 0.0790552i | ||||
\(521\) | −12.3969 | − | 12.3969i | −0.543120 | − | 0.543120i | 0.381322 | − | 0.924442i | \(-0.375469\pi\) |
−0.924442 | + | 0.381322i | \(0.875469\pi\) | |||||||
\(522\) | 16.9816 | + | 36.6106i | 0.743264 | + | 1.60240i | ||||
\(523\) | −5.71533 | + | 13.7980i | −0.249914 | + | 0.603346i | −0.998196 | − | 0.0600346i | \(-0.980879\pi\) |
0.748282 | + | 0.663380i | \(0.230879\pi\) | |||||||
\(524\) | −33.6844 | + | 8.58975i | −1.47151 | + | 0.375245i | ||||
\(525\) | 3.50764 | − | 0.198594i | 0.153086 | − | 0.00866734i | ||||
\(526\) | −16.8347 | − | 19.4325i | −0.734030 | − | 0.847299i | ||||
\(527\) | − | 6.03408i | − | 0.262849i | ||||||
\(528\) | 18.9433 | + | 13.5859i | 0.824399 | + | 0.591250i | ||||
\(529\) | − | 27.7390i | − | 1.20604i | ||||||
\(530\) | 0.774577 | − | 0.671030i | 0.0336455 | − | 0.0291477i | ||||
\(531\) | 1.98730 | − | 6.92184i | 0.0862413 | − | 0.300382i | ||||
\(532\) | 2.52029 | − | 4.24566i | 0.109269 | − | 0.184073i | ||||
\(533\) | 4.75127 | − | 11.4706i | 0.205800 | − | 0.496846i | ||||
\(534\) | −13.5057 | + | 13.1078i | −0.584450 | + | 0.567232i | ||||
\(535\) | −0.154398 | − | 0.154398i | −0.00667521 | − | 0.00667521i | ||||
\(536\) | 4.93352 | + | 27.3949i | 0.213096 | + | 1.18328i | ||||
\(537\) | −12.3468 | − | 25.6084i | −0.532802 | − | 1.10508i | ||||
\(538\) | −17.1015 | + | 5.68989i | −0.737297 | + | 0.245308i | ||||
\(539\) | −8.79818 | + | 21.2407i | −0.378964 | + | 0.914901i | ||||
\(540\) | −1.89276 | − | 0.725526i | −0.0814516 | − | 0.0312217i | ||||
\(541\) | 16.5235 | − | 6.84424i | 0.710399 | − | 0.294257i | 0.00192927 | − | 0.999998i | \(-0.499386\pi\) |
0.708470 | + | 0.705741i | \(0.249386\pi\) | |||||||
\(542\) | 16.4514 | + | 1.17839i | 0.706646 | + | 0.0506163i | ||||
\(543\) | 8.73211 | + | 3.05102i | 0.374731 | + | 0.130932i | ||||
\(544\) | 4.27286 | + | 1.59630i | 0.183197 | + | 0.0684407i | ||||
\(545\) | 0.358426i | 0.0153533i | ||||||||
\(546\) | −3.07429 | − | 1.32760i | −0.131568 | − | 0.0568160i | ||||
\(547\) | 2.24912 | + | 5.42985i | 0.0961654 | + | 0.232164i | 0.964641 | − | 0.263569i | \(-0.0848996\pi\) |
−0.868475 | + | 0.495733i | \(0.834900\pi\) | |||||||
\(548\) | −18.2649 | − | 24.4099i | −0.780238 | − | 1.04274i | ||||
\(549\) | 25.0292 | − | 13.8630i | 1.06822 | − | 0.591660i | ||||
\(550\) | 7.45398 | + | 22.4036i | 0.317839 | + | 0.955293i | ||||
\(551\) | 40.6199 | + | 40.6199i | 1.73047 | + | 1.73047i | ||||
\(552\) | 28.2496 | − | 20.4864i | 1.20238 | − | 0.871961i | ||||
\(553\) | −2.31728 | + | 2.31728i | −0.0985409 | + | 0.0985409i | ||||
\(554\) | −11.6194 | − | 5.81779i | −0.493659 | − | 0.247174i | ||||
\(555\) | 0.864967 | − | 0.968789i | 0.0367158 | − | 0.0411228i | ||||
\(556\) | −3.76643 | + | 6.34489i | −0.159732 | + | 0.269083i | ||||
\(557\) | 17.5896 | − | 7.28584i | 0.745294 | − | 0.308711i | 0.0224743 | − | 0.999747i | \(-0.492846\pi\) |
0.722820 | + | 0.691036i | \(0.242846\pi\) | |||||||
\(558\) | −1.32063 | − | 31.7217i | −0.0559066 | − | 1.34289i | ||||
\(559\) | −24.8839 | −1.05248 | ||||||||
\(560\) | 0.317127 | − | 0.0339575i | 0.0134011 | − | 0.00143497i | ||||
\(561\) | −4.43620 | − | 1.55002i | −0.187296 | − | 0.0654417i | ||||
\(562\) | −33.7250 | + | 29.2165i | −1.42260 | + | 1.23243i | ||||
\(563\) | 7.04761 | + | 17.0144i | 0.297021 | + | 0.717073i | 0.999983 | + | 0.00584493i | \(0.00186051\pi\) |
−0.702962 | + | 0.711228i | \(0.748139\pi\) | |||||||
\(564\) | 0.119580 | − | 1.37968i | 0.00503523 | − | 0.0580949i | ||||
\(565\) | 0.251458 | + | 0.104157i | 0.0105789 | + | 0.00438194i | ||||
\(566\) | 13.6218 | + | 6.82042i | 0.572568 | + | 0.286684i | ||||
\(567\) | −1.95168 | + | 3.11874i | −0.0819630 | + | 0.130975i | ||||
\(568\) | −6.19832 | − | 9.65157i | −0.260076 | − | 0.404971i | ||||
\(569\) | −15.9856 | + | 15.9856i | −0.670152 | + | 0.670152i | −0.957751 | − | 0.287599i | \(-0.907143\pi\) |
0.287599 | + | 0.957751i | \(0.407143\pi\) | |||||||
\(570\) | −2.88502 | − | 0.0431331i | −0.120840 | − | 0.00180665i | ||||
\(571\) | −21.2300 | − | 8.79375i | −0.888447 | − | 0.368007i | −0.108680 | − | 0.994077i | \(-0.534663\pi\) |
−0.779767 | + | 0.626070i | \(0.784663\pi\) | |||||||
\(572\) | 3.20759 | − | 22.2754i | 0.134116 | − | 0.931383i | ||||
\(573\) | 20.1383 | − | 1.14018i | 0.841290 | − | 0.0476317i | ||||
\(574\) | 2.14075 | + | 0.153339i | 0.0893531 | + | 0.00640026i | ||||
\(575\) | 35.3446 | 1.47397 | ||||||||
\(576\) | 22.8122 | + | 7.45673i | 0.950509 | + | 0.310697i | ||||
\(577\) | 21.1703 | 0.881332 | 0.440666 | − | 0.897671i | \(-0.354742\pi\) | ||||
0.440666 | + | 0.897671i | \(0.354742\pi\) | |||||||
\(578\) | 23.0631 | + | 1.65198i | 0.959297 | + | 0.0687133i | ||||
\(579\) | −10.4314 | + | 0.590599i | −0.433513 | + | 0.0245444i | ||||
\(580\) | −0.528889 | + | 3.67293i | −0.0219609 | + | 0.152510i | ||||
\(581\) | −2.43877 | − | 1.01017i | −0.101177 | − | 0.0419090i | ||||
\(582\) | −6.40244 | − | 0.0957211i | −0.265390 | − | 0.00396777i | ||||
\(583\) | 8.83917 | − | 8.83917i | 0.366081 | − | 0.366081i | ||||
\(584\) | 23.4924 | − | 15.0870i | 0.972122 | − | 0.624304i | ||||
\(585\) | 0.220887 | + | 1.94444i | 0.00913255 | + | 0.0803927i | ||||
\(586\) | −31.7697 | − | 15.9070i | −1.31239 | − | 0.657113i | ||||
\(587\) | 14.4081 | + | 5.96803i | 0.594686 | + | 0.246327i | 0.659665 | − | 0.751560i | \(-0.270698\pi\) |
−0.0649791 | + | 0.997887i | \(0.520698\pi\) | |||||||
\(588\) | −2.04386 | + | 23.5814i | −0.0842873 | + | 0.972482i | ||||
\(589\) | −17.2944 | − | 41.7523i | −0.712603 | − | 1.72037i | ||||
\(590\) | 0.500480 | − | 0.433575i | 0.0206044 | − | 0.0178500i | ||||
\(591\) | −1.02905 | − | 0.359550i | −0.0423293 | − | 0.0147899i | ||||
\(592\) | −9.65362 | + | 11.9689i | −0.396761 | + | 0.491920i | ||||
\(593\) | 20.5777 | 0.845025 | 0.422512 | − | 0.906357i | \(-0.361148\pi\) | ||||
0.422512 | + | 0.906357i | \(0.361148\pi\) | |||||||
\(594\) | −23.6608 | − | 7.17768i | −0.970813 | − | 0.294504i | ||||
\(595\) | −0.0593989 | + | 0.0246038i | −0.00243512 | + | 0.00100866i | ||||
\(596\) | −17.3384 | + | 29.2081i | −0.710208 | + | 1.19641i | ||||
\(597\) | −22.1983 | + | 24.8628i | −0.908516 | + | 1.01757i | ||||
\(598\) | −30.1241 | − | 15.0831i | −1.23187 | − | 0.616793i | ||||
\(599\) | 14.6016 | − | 14.6016i | 0.596604 | − | 0.596604i | −0.342803 | − | 0.939407i | \(-0.611376\pi\) |
0.939407 | + | 0.342803i | \(0.111376\pi\) | |||||||
\(600\) | 14.2708 | + | 19.6786i | 0.582603 | + | 0.803376i | ||||
\(601\) | −22.7394 | − | 22.7394i | −0.927561 | − | 0.927561i | 0.0699869 | − | 0.997548i | \(-0.477704\pi\) |
−0.997548 | + | 0.0699869i | \(0.977704\pi\) | |||||||
\(602\) | −1.35799 | − | 4.08157i | −0.0553477 | − | 0.166353i | ||||
\(603\) | −14.3050 | − | 25.8272i | −0.582545 | − | 1.05176i | ||||
\(604\) | −2.54461 | − | 3.40072i | −0.103539 | − | 0.138373i | ||||
\(605\) | −0.0239839 | − | 0.0579021i | −0.000975082 | − | 0.00235406i | ||||
\(606\) | −29.5543 | − | 12.7627i | −1.20056 | − | 0.518449i | ||||
\(607\) | 40.2640i | 1.63426i | 0.576451 | + | 0.817132i | \(0.304437\pi\) | ||||
−0.576451 | + | 0.817132i | \(0.695563\pi\) | |||||||
\(608\) | 34.1409 | − | 1.20107i | 1.38460 | − | 0.0487099i | ||||
\(609\) | 6.35814 | + | 2.22155i | 0.257645 | + | 0.0900216i | ||||
\(610\) | 2.62412 | + | 0.187963i | 0.106247 | + | 0.00761038i | ||||
\(611\) | −1.23519 | + | 0.511631i | −0.0499703 | + | 0.0206984i | ||||
\(612\) | −4.83583 | − | 0.144631i | −0.195477 | − | 0.00584635i | ||||
\(613\) | −6.76173 | + | 16.3243i | −0.273104 | + | 0.659331i | −0.999613 | − | 0.0278260i | \(-0.991142\pi\) |
0.726509 | + | 0.687157i | \(0.241142\pi\) | |||||||
\(614\) | −26.7224 | + | 8.89091i | −1.07843 | + | 0.358808i | ||||
\(615\) | −0.544710 | − | 1.12978i | −0.0219648 | − | 0.0455571i | ||||
\(616\) | 3.82876 | − | 0.689517i | 0.154265 | − | 0.0277814i | ||||
\(617\) | 5.19834 | + | 5.19834i | 0.209277 | + | 0.209277i | 0.803960 | − | 0.594683i | \(-0.202722\pi\) |
−0.594683 | + | 0.803960i | \(0.702722\pi\) | |||||||
\(618\) | −21.0545 | + | 20.4342i | −0.846938 | + | 0.821986i | ||||
\(619\) | 8.07299 | − | 19.4899i | 0.324481 | − | 0.783366i | −0.674502 | − | 0.738273i | \(-0.735642\pi\) |
0.998983 | − | 0.0450932i | \(-0.0143585\pi\) | |||||||
\(620\) | 1.49017 | − | 2.51033i | 0.0598468 | − | 0.100817i | ||||
\(621\) | −21.3769 | + | 30.2156i | −0.857824 | + | 1.21251i | ||||
\(622\) | 1.41863 | − | 1.22898i | 0.0568817 | − | 0.0492776i | ||||
\(623\) | 3.14092i | 0.125838i | ||||||||
\(624\) | −3.76524 | − | 22.8620i | −0.150730 | − | 0.915211i | ||||
\(625\) | 24.4308i | 0.977230i | ||||||||
\(626\) | −14.7784 | − | 17.0589i | −0.590664 | − | 0.681810i | ||||
\(627\) | −35.1384 | + | 1.98945i | −1.40329 | + | 0.0794510i | ||||
\(628\) | 26.7648 | − | 6.82521i | 1.06803 | − | 0.272356i | ||||
\(629\) | 1.18621 | − | 2.86376i | 0.0472973 | − | 0.114186i | ||||
\(630\) | −0.306881 | + | 0.142345i | −0.0122264 | + | 0.00567116i | ||||
\(631\) | −22.5327 | − | 22.5327i | −0.897012 | − | 0.897012i | 0.0981592 | − | 0.995171i | \(-0.468705\pi\) |
−0.995171 | + | 0.0981592i | \(0.968705\pi\) | |||||||
\(632\) | −22.1550 | − | 4.82698i | −0.881280 | − | 0.192007i | ||||
\(633\) | −11.7231 | + | 5.65214i | −0.465950 | + | 0.224652i | ||||
\(634\) | 8.83620 | + | 26.5580i | 0.350930 | + | 1.05475i | ||||
\(635\) | 0.513033 | − | 1.23857i | 0.0203591 | − | 0.0491512i | ||||
\(636\) | 5.93332 | − | 11.4204i | 0.235272 | − | 0.452848i | ||||
\(637\) | 21.1118 | − | 8.74478i | 0.836479 | − | 0.346481i | ||||
\(638\) | −3.23389 | + | 45.1479i | −0.128031 | + | 1.78742i | ||||
\(639\) | 9.51892 | + | 7.57685i | 0.376563 | + | 0.299736i | ||||
\(640\) | 1.38340 | + | 1.71932i | 0.0546836 | + | 0.0679622i | ||||
\(641\) | − | 41.6012i | − | 1.64315i | −0.570100 | − | 0.821575i | \(-0.693096\pi\) | ||
0.570100 | − | 0.821575i | \(-0.306904\pi\) | |||||||
\(642\) | −2.51738 | − | 1.08710i | −0.0993530 | − | 0.0429045i | ||||
\(643\) | 7.11746 | + | 17.1831i | 0.280685 | + | 0.677634i | 0.999852 | − | 0.0172036i | \(-0.00547635\pi\) |
−0.719167 | + | 0.694837i | \(0.755476\pi\) | |||||||
\(644\) | 0.830027 | − | 5.76422i | 0.0327077 | − | 0.227142i | ||||
\(645\) | −1.67420 | + | 1.87515i | −0.0659214 | + | 0.0738340i | ||||
\(646\) | −6.53431 | + | 2.17405i | −0.257089 | + | 0.0855369i | ||||
\(647\) | −31.4452 | − | 31.4452i | −1.23624 | − | 1.23624i | −0.961526 | − | 0.274714i | \(-0.911417\pi\) |
−0.274714 | − | 0.961526i | \(-0.588583\pi\) | |||||||
\(648\) | −25.4541 | + | 0.298039i | −0.999931 | + | 0.0117081i | ||||
\(649\) | 5.71128 | − | 5.71128i | 0.224187 | − | 0.224187i | ||||
\(650\) | 10.5068 | − | 20.9844i | 0.412112 | − | 0.823075i | ||||
\(651\) | −3.95240 | − | 3.52884i | −0.154907 | − | 0.138306i | ||||
\(652\) | 3.90645 | + | 15.3190i | 0.152988 | + | 0.599938i | ||||
\(653\) | 5.38622 | − | 2.23104i | 0.210779 | − | 0.0873075i | −0.274796 | − | 0.961503i | \(-0.588610\pi\) |
0.485575 | + | 0.874195i | \(0.338610\pi\) | |||||||
\(654\) | 1.66015 | + | 4.18378i | 0.0649170 | + | 0.163599i | ||||
\(655\) | 3.39025 | 0.132468 | ||||||||
\(656\) | 7.11126 | + | 13.0366i | 0.277648 | + | 0.508992i | ||||
\(657\) | −18.4424 | + | 23.1695i | −0.719507 | + | 0.903928i | ||||
\(658\) | −0.151328 | − | 0.174679i | −0.00589937 | − | 0.00680971i | ||||
\(659\) | 7.05977 | + | 17.0438i | 0.275010 | + | 0.663932i | 0.999683 | − | 0.0251602i | \(-0.00800958\pi\) |
−0.724674 | + | 0.689092i | \(0.758010\pi\) | |||||||
\(660\) | −1.46278 | − | 1.74041i | −0.0569386 | − | 0.0677452i | ||||
\(661\) | 25.7857 | + | 10.6808i | 1.00295 | + | 0.415435i | 0.822878 | − | 0.568219i | \(-0.192367\pi\) |
0.180071 | + | 0.983654i | \(0.442367\pi\) | |||||||
\(662\) | 7.93025 | − | 15.8384i | 0.308218 | − | 0.615576i | ||||
\(663\) | 2.02845 | + | 4.20720i | 0.0787786 | + | 0.163394i | ||||
\(664\) | −3.23713 | − | 17.9752i | −0.125625 | − | 0.697574i | ||||
\(665\) | −0.340489 | + | 0.340489i | −0.0132036 | + | 0.0132036i | ||||
\(666\) | 5.60925 | − | 15.3147i | 0.217354 | − | 0.593433i | ||||
\(667\) | 62.5996 | + | 25.9296i | 2.42387 | + | 1.00400i | ||||
\(668\) | 2.79782 | + | 3.73911i | 0.108251 | + | 0.144671i | ||||
\(669\) | −0.631682 | − | 11.1570i | −0.0244222 | − | 0.431355i | ||||
\(670\) | 0.193955 | − | 2.70778i | 0.00749314 | − | 0.104611i | ||||
\(671\) | 32.0904 | 1.23883 | ||||||||
\(672\) | 3.54444 | − | 1.86524i | 0.136730 | − | 0.0719532i | ||||
\(673\) | 18.5829 | 0.716319 | 0.358160 | − | 0.933660i | \(-0.383404\pi\) | ||||
0.358160 | + | 0.933660i | \(0.383404\pi\) | |||||||
\(674\) | 0.710343 | − | 9.91700i | 0.0273614 | − | 0.381989i | ||||
\(675\) | −21.0481 | − | 14.8911i | −0.810142 | − | 0.573157i | ||||
\(676\) | 2.90754 | − | 2.17559i | 0.111828 | − | 0.0836764i | ||||
\(677\) | 22.9138 | + | 9.49122i | 0.880650 | + | 0.364777i | 0.776749 | − | 0.629810i | \(-0.216867\pi\) |
0.103901 | + | 0.994588i | \(0.466867\pi\) | |||||||
\(678\) | 3.41763 | + | 0.0510960i | 0.131253 | + | 0.00196233i | ||||
\(679\) | −0.755613 | + | 0.755613i | −0.0289978 | + | 0.0289978i | ||||
\(680\) | −0.365327 | − | 0.253824i | −0.0140096 | − | 0.00973372i | ||||
\(681\) | −5.34661 | + | 2.57781i | −0.204883 | + | 0.0987817i | ||||
\(682\) | 15.9426 | − | 31.8408i | 0.610475 | − | 1.21925i | ||||
\(683\) | −34.5480 | − | 14.3103i | −1.32194 | − | 0.547567i | −0.393597 | − | 0.919283i | \(-0.628769\pi\) |
−0.928346 | + | 0.371717i | \(0.878769\pi\) | |||||||
\(684\) | −33.8757 | + | 12.8593i | −1.29527 | + | 0.491688i | ||||
\(685\) | 1.13783 | + | 2.74696i | 0.0434741 | + | 0.104956i | ||||
\(686\) | 5.23624 | + | 6.04425i | 0.199921 | + | 0.230770i | ||||
\(687\) | 12.8946 | − | 36.9048i | 0.491960 | − | 1.40801i | ||||
\(688\) | 18.6852 | − | 23.1666i | 0.712366 | − | 0.883219i | ||||
\(689\) | −12.4246 | −0.473340 | ||||||||
\(690\) | −3.16335 | + | 1.25524i | −0.120427 | + | 0.0477860i | ||||
\(691\) | −29.9717 | + | 12.4147i | −1.14018 | + | 0.472277i | −0.871228 | − | 0.490878i | \(-0.836676\pi\) |
−0.268948 | + | 0.963155i | \(0.586676\pi\) | |||||||
\(692\) | −20.5900 | + | 5.25059i | −0.782713 | + | 0.199597i | ||||
\(693\) | −3.60965 | + | 1.99929i | −0.137119 | + | 0.0759469i | ||||
\(694\) | −7.79048 | + | 15.5592i | −0.295723 | + | 0.590621i | ||||
\(695\) | 0.508841 | − | 0.508841i | 0.0193014 | − | 0.0193014i | ||||
\(696\) | 10.8386 | + | 45.3226i | 0.410838 | + | 1.71795i | ||||
\(697\) | −2.11673 | − | 2.11673i | −0.0801767 | − | 0.0801767i | ||||
\(698\) | 42.4412 | − | 14.1208i | 1.60642 | − | 0.534479i | ||||
\(699\) | 28.3622 | + | 25.3227i | 1.07276 | + | 0.957793i | ||||
\(700\) | 4.01534 | + | 0.578195i | 0.151766 | + | 0.0218537i | ||||
\(701\) | 6.56454 | + | 15.8482i | 0.247939 | + | 0.598578i | 0.998029 | − | 0.0627582i | \(-0.0199897\pi\) |
−0.750090 | + | 0.661336i | \(0.769990\pi\) | |||||||
\(702\) | 11.5846 | + | 21.6737i | 0.437231 | + | 0.818022i | ||||
\(703\) | − | 23.2154i | − | 0.875585i | ||||||
\(704\) | 18.3296 | + | 19.7127i | 0.690822 | + | 0.742950i | ||||
\(705\) | −0.0445491 | + | 0.127501i | −0.00167782 | + | 0.00480197i | ||||
\(706\) | 1.51188 | − | 21.1071i | 0.0569003 | − | 0.794376i | ||||
\(707\) | −4.96350 | + | 2.05595i | −0.186672 | + | 0.0773219i | ||||
\(708\) | 3.83372 | − | 7.37909i | 0.144080 | − | 0.277323i | ||||
\(709\) | −11.6861 | + | 28.2128i | −0.438882 | + | 1.05955i | 0.537454 | + | 0.843293i | \(0.319386\pi\) |
−0.976336 | + | 0.216261i | \(0.930614\pi\) | |||||||
\(710\) | 0.353164 | + | 1.06147i | 0.0132540 | + | 0.0398362i | ||||
\(711\) | 23.8965 | − | 2.71463i | 0.896190 | − | 0.101806i | ||||
\(712\) | −18.2862 | + | 11.7435i | −0.685303 | + | 0.440107i | ||||
\(713\) | −37.6923 | − | 37.6923i | −1.41159 | − | 1.41159i | ||||
\(714\) | −0.579385 | + | 0.562316i | −0.0216829 | + | 0.0210441i | ||||
\(715\) | −0.839935 | + | 2.02778i | −0.0314118 | + | 0.0758348i | ||||
\(716\) | −8.11164 | − | 31.8095i | −0.303146 | − | 1.18878i | ||||
\(717\) | −2.18662 | − | 38.6208i | −0.0816607 | − | 1.44232i | ||||
\(718\) | 25.6289 | + | 29.5838i | 0.956463 | + | 1.10406i | ||||
\(719\) | 32.6392i | 1.21724i | 0.793463 | + | 0.608619i | \(0.208276\pi\) | ||||
−0.793463 | + | 0.608619i | \(0.791724\pi\) | |||||||
\(720\) | −1.97611 | − | 1.25442i | −0.0736453 | − | 0.0467496i | ||||
\(721\) | 4.89649i | 0.182355i | ||||||||
\(722\) | −18.6736 | + | 16.1773i | −0.694960 | + | 0.602056i | ||||
\(723\) | −0.982456 | − | 17.3525i | −0.0365379 | − | 0.645347i | ||||
\(724\) | 9.18441 | + | 5.45202i | 0.341336 | + | 0.202623i | ||||
\(725\) | −18.0625 | + | 43.6067i | −0.670825 | + | 1.61951i | ||||
\(726\) | −0.548146 | − | 0.564785i | −0.0203436 | − | 0.0209611i | ||||
\(727\) | −11.8938 | − | 11.8938i | −0.441118 | − | 0.441118i | 0.451270 | − | 0.892388i | \(-0.350971\pi\) |
−0.892388 | + | 0.451270i | \(0.850971\pi\) | |||||||
\(728\) | −3.17552 | − | 2.20631i | −0.117693 | − | 0.0817713i | ||||
\(729\) | 25.4603 | − | 8.98742i | 0.942974 | − | 0.332867i | ||||
\(730\) | −2.58366 | + | 0.859619i | −0.0956257 | + | 0.0318159i | ||||
\(731\) | −2.29598 | + | 5.54299i | −0.0849199 | + | 0.205015i | ||||
\(732\) | 31.5011 | − | 9.96031i | 1.16431 | − | 0.368144i | ||||
\(733\) | −14.2498 | + | 5.90246i | −0.526328 | + | 0.218012i | −0.629994 | − | 0.776600i | \(-0.716943\pi\) |
0.103666 | + | 0.994612i | \(0.466943\pi\) | |||||||
\(734\) | 30.3962 | + | 2.17725i | 1.12195 | + | 0.0803637i | ||||
\(735\) | 0.761433 | − | 2.17925i | 0.0280859 | − | 0.0803827i | ||||
\(736\) | 36.6621 | − | 16.7193i | 1.35138 | − | 0.616283i | ||||
\(737\) | − | 33.1135i | − | 1.21975i | ||||||
\(738\) | −11.5911 | − | 10.6646i | −0.426675 | − | 0.392568i | ||||
\(739\) | −1.65560 | − | 3.99698i | −0.0609024 | − | 0.147031i | 0.890499 | − | 0.454986i | \(-0.150356\pi\) |
−0.951401 | + | 0.307954i | \(0.900356\pi\) | |||||||
\(740\) | 1.20073 | − | 0.898452i | 0.0441396 | − | 0.0330278i | ||||
\(741\) | 26.0940 | + | 23.2976i | 0.958589 | + | 0.855859i | ||||
\(742\) | −0.678049 | − | 2.03794i | −0.0248920 | − | 0.0748151i | ||||
\(743\) | −15.0005 | − | 15.0005i | −0.550313 | − | 0.550313i | 0.376218 | − | 0.926531i | \(-0.377224\pi\) |
−0.926531 | + | 0.376218i | \(0.877224\pi\) | |||||||
\(744\) | 5.76701 | − | 36.2044i | 0.211429 | − | 1.32732i | ||||
\(745\) | 2.34240 | − | 2.34240i | 0.0858188 | − | 0.0858188i | ||||
\(746\) | 37.2106 | + | 18.6313i | 1.36238 | + | 0.682139i | ||||
\(747\) | 9.38625 | + | 16.9465i | 0.343425 | + | 0.620040i | ||||
\(748\) | −4.66598 | − | 2.76980i | −0.170605 | − | 0.101274i | ||||
\(749\) | −0.422781 | + | 0.175122i | −0.0154481 | + | 0.00639880i | ||||
\(750\) | −1.75549 | − | 4.42406i | −0.0641015 | − | 0.161544i | ||||
\(751\) | 10.9267 | 0.398720 | 0.199360 | − | 0.979926i | \(-0.436114\pi\) | ||||
0.199360 | + | 0.979926i | \(0.436114\pi\) | |||||||
\(752\) | 0.451171 | − | 1.53412i | 0.0164525 | − | 0.0559436i | ||||
\(753\) | −1.83745 | + | 5.25884i | −0.0669603 | + | 0.191643i | ||||
\(754\) | 34.0035 | − | 29.4578i | 1.23833 | − | 1.07279i | ||||
\(755\) | 0.158519 | + | 0.382698i | 0.00576908 | + | 0.0139278i | ||||
\(756\) | −2.92281 | + | 3.08295i | −0.106302 | + | 0.112126i | ||||
\(757\) | −19.8634 | − | 8.22770i | −0.721948 | − | 0.299041i | −0.00870961 | − | 0.999962i | \(-0.502772\pi\) |
−0.713239 | + | 0.700921i | \(0.752772\pi\) | |||||||
\(758\) | 15.7742 | + | 7.89809i | 0.572943 | + | 0.286872i | ||||
\(759\) | −37.3933 | + | 18.0287i | −1.35729 | + | 0.654402i | ||||
\(760\) | −3.25534 | − | 0.709249i | −0.118084 | − | 0.0257272i | ||||
\(761\) | 8.07215 | − | 8.07215i | 0.292615 | − | 0.292615i | −0.545497 | − | 0.838112i | \(-0.683659\pi\) |
0.838112 | + | 0.545497i | \(0.183659\pi\) | |||||||
\(762\) | 0.251676 | − | 16.8337i | 0.00911726 | − | 0.609821i | ||||
\(763\) | 0.693996 | + | 0.287463i | 0.0251243 | + | 0.0104068i | ||||
\(764\) | 23.0532 | + | 3.31958i | 0.834035 | + | 0.120098i | ||||
\(765\) | 0.453512 | + | 0.130206i | 0.0163968 | + | 0.00470759i | ||||
\(766\) | 47.5247 | + | 3.40414i | 1.71714 | + | 0.122997i | ||||
\(767\) | −8.02795 | −0.289873 | ||||||||
\(768\) | 24.1115 | + | 13.6615i | 0.870048 | + | 0.492967i | ||||
\(769\) | −7.21321 | −0.260115 | −0.130057 | − | 0.991506i | \(-0.541516\pi\) | ||||
−0.130057 | + | 0.991506i | \(0.541516\pi\) | |||||||
\(770\) | −0.378444 | − | 0.0271075i | −0.0136382 | − | 0.000976887i | ||||
\(771\) | 2.23075 | + | 39.4003i | 0.0803384 | + | 1.41897i | ||||
\(772\) | −11.9412 | − | 1.71950i | −0.429775 | − | 0.0618861i | ||||
\(773\) | −29.1506 | − | 12.0746i | −1.04848 | − | 0.434293i | −0.209128 | − | 0.977888i | \(-0.567063\pi\) |
−0.839347 | + | 0.543595i | \(0.817063\pi\) | |||||||
\(774\) | −10.8571 | + | 29.6425i | −0.390249 | + | 1.06548i | ||||
\(775\) | 26.2564 | − | 26.2564i | 0.943157 | − | 0.943157i | ||||
\(776\) | −7.22426 | − | 1.57397i | −0.259336 | − | 0.0565021i | ||||
\(777\) | −1.18209 | − | 2.45176i | −0.0424072 | − | 0.0879565i | ||||
\(778\) | 46.6146 | + | 23.3398i | 1.67121 | + | 0.836773i | ||||
\(779\) | −20.7133 | − | 8.57973i | −0.742131 | − | 0.307401i | ||||
\(780\) | −0.195121 | + | 2.25125i | −0.00698645 | + | 0.0806076i | ||||
\(781\) | 5.22185 | + | 12.6067i | 0.186853 | + | 0.451102i | ||||
\(782\) | −6.13929 | + | 5.31857i | −0.219541 | + | 0.190192i | ||||
\(783\) | −26.3543 | − | 41.8152i | −0.941827 | − | 1.49435i | ||||
\(784\) | −7.71141 | + | 26.2212i | −0.275407 | + | 0.936470i | ||||
\(785\) | −2.69382 | −0.0961464 | ||||||||
\(786\) | 39.5733 | − | 15.7029i | 1.41153 | − | 0.560105i | ||||
\(787\) | −34.5666 | + | 14.3179i | −1.23217 | + | 0.510380i | −0.901258 | − | 0.433283i | \(-0.857355\pi\) |
−0.330908 | + | 0.943663i | \(0.607355\pi\) | |||||||
\(788\) | −1.08235 | − | 0.642499i | −0.0385570 | − | 0.0228881i | ||||
\(789\) | 23.4890 | + | 20.9718i | 0.836231 | + | 0.746614i | ||||
\(790\) | 1.97738 | + | 0.990069i | 0.0703520 | + | 0.0352251i | ||||
\(791\) | 0.403347 | − | 0.403347i | 0.0143414 | − | 0.0143414i | ||||
\(792\) | −25.1357 | − | 13.5399i | −0.893159 | − | 0.481120i | ||||
\(793\) | −22.5536 | − | 22.5536i | −0.800902 | − | 0.800902i | ||||
\(794\) | −13.2873 | − | 39.9363i | −0.471549 | − | 1.41729i | ||||
\(795\) | −0.835930 | + | 0.936268i | −0.0296474 | + | 0.0332060i | ||||
\(796\) | −30.8152 | + | 23.0577i | −1.09221 | + | 0.817257i | ||||
\(797\) | −0.403632 | − | 0.974454i | −0.0142974 | − | 0.0345169i | 0.916570 | − | 0.399875i | \(-0.130947\pi\) |
−0.930867 | + | 0.365358i | \(0.880947\pi\) | |||||||
\(798\) | −2.39734 | + | 5.55148i | −0.0848651 | + | 0.196520i | ||||
\(799\) | 0.322349i | 0.0114039i | ||||||||
\(800\) | 11.6467 | + | 25.5387i | 0.411771 | + | 0.902931i | ||||
\(801\) | 14.3553 | − | 18.0348i | 0.507221 | − | 0.637229i | ||||
\(802\) | −13.1433 | − | 0.941440i | −0.464106 | − | 0.0332434i | ||||
\(803\) | −30.6852 | + | 12.7102i | −1.08286 | + | 0.448535i | ||||
\(804\) | −10.2779 | − | 32.5054i | −0.362472 | − | 1.14638i | ||||
\(805\) | −0.217350 | + | 0.524729i | −0.00766058 | + | 0.0184943i | ||||
\(806\) | −33.5829 | + | 11.1735i | −1.18291 | + | 0.393569i | ||||
\(807\) | 19.8834 | − | 9.58656i | 0.699930 | − | 0.337463i | ||||
\(808\) | −30.5274 | − | 21.2101i | −1.07395 | − | 0.746169i | ||||
\(809\) | 34.9129 | + | 34.9129i | 1.22747 | + | 1.22747i | 0.964917 | + | 0.262555i | \(0.0845653\pi\) |
0.262555 | + | 0.964917i | \(0.415435\pi\) | |||||||
\(810\) | 2.41265 | + | 0.585247i | 0.0847720 | + | 0.0205635i | ||||
\(811\) | 13.0178 | − | 31.4278i | 0.457117 | − | 1.10358i | −0.512442 | − | 0.858722i | \(-0.671259\pi\) |
0.969559 | − | 0.244857i | \(-0.0787411\pi\) | |||||||
\(812\) | 6.68747 | + | 3.96980i | 0.234684 | + | 0.139313i | ||||
\(813\) | −20.1680 | + | 1.14186i | −0.707324 | + | 0.0400469i | ||||
\(814\) | 13.8258 | − | 11.9775i | 0.484593 | − | 0.419811i | ||||
\(815\) | − | 1.54182i | − | 0.0540076i | ||||||
\(816\) | −5.44000 | − | 1.27070i | −0.190438 | − | 0.0444833i | ||||
\(817\) | 44.9348i | 1.57207i | ||||||||
\(818\) | −23.2991 | − | 26.8944i | −0.814635 | − | 0.940342i | ||||
\(819\) | 3.94205 | + | 1.13178i | 0.137746 | + | 0.0395476i | ||||
\(820\) | −0.357866 | − | 1.40336i | −0.0124972 | − | 0.0490074i | ||||
\(821\) | 3.16275 | − | 7.63556i | 0.110381 | − | 0.266483i | −0.859031 | − | 0.511924i | \(-0.828933\pi\) |
0.969411 | + | 0.245441i | \(0.0789329\pi\) | |||||||
\(822\) | 26.0048 | + | 26.7942i | 0.907021 | + | 0.934554i | ||||
\(823\) | −11.3941 | − | 11.3941i | −0.397173 | − | 0.397173i | 0.480062 | − | 0.877235i | \(-0.340614\pi\) |
−0.877235 | + | 0.480062i | \(0.840614\pi\) | |||||||
\(824\) | −28.5069 | + | 18.3074i | −0.993085 | + | 0.637767i | ||||
\(825\) | −12.5588 | − | 26.0481i | −0.437240 | − | 0.906878i | ||||
\(826\) | −0.438110 | − | 1.31678i | −0.0152438 | − | 0.0458167i | ||||
\(827\) | −8.32108 | + | 20.0889i | −0.289352 | + | 0.698558i | −0.999987 | − | 0.00500239i | \(-0.998408\pi\) |
0.710635 | + | 0.703561i | \(0.248408\pi\) | |||||||
\(828\) | −31.1108 | + | 29.3039i | −1.08118 | + | 1.01838i | ||||
\(829\) | −7.00953 | + | 2.90344i | −0.243451 | + | 0.100841i | −0.501073 | − | 0.865405i | \(-0.667061\pi\) |
0.257622 | + | 0.966246i | \(0.417061\pi\) | |||||||
\(830\) | −0.127264 | + | 1.77671i | −0.00441739 | + | 0.0616705i | ||||
\(831\) | 15.0242 | + | 5.24949i | 0.521184 | + | 0.182103i | ||||
\(832\) | 0.972077 | − | 26.7367i | 0.0337007 | − | 0.926928i | ||||
\(833\) | − | 5.50958i | − | 0.190896i | ||||||
\(834\) | 3.58269 | − | 8.29637i | 0.124058 | − | 0.287280i | ||||
\(835\) | −0.174292 | − | 0.420779i | −0.00603163 | − | 0.0145617i | ||||
\(836\) | −40.2245 | − | 5.79218i | −1.39119 | − | 0.200327i | ||||
\(837\) | 6.56601 | + | 38.3263i | 0.226955 | + | 1.32475i | ||||
\(838\) | −14.1718 | + | 4.71514i | −0.489556 | + | 0.162882i | ||||
\(839\) | 4.15538 | + | 4.15538i | 0.143460 | + | 0.143460i | 0.775189 | − | 0.631729i | \(-0.217655\pi\) |
−0.631729 | + | 0.775189i | \(0.717655\pi\) | |||||||
\(840\) | −0.379908 | + | 0.0908529i | −0.0131081 | + | 0.00313472i | ||||
\(841\) | −43.4756 | + | 43.4756i | −1.49916 | + | 1.49916i | ||||
\(842\) | −2.86796 | + | 5.72792i | −0.0988363 | + | 0.197397i | ||||
\(843\) | 36.3963 | − | 40.7649i | 1.25355 | − | 1.40402i | ||||
\(844\) | −14.5618 | + | 3.71337i | −0.501239 | + | 0.127819i | ||||
\(845\) | −0.327198 | + | 0.135530i | −0.0112560 | + | 0.00466237i | ||||
\(846\) | 0.0705497 | + | 1.69462i | 0.00242555 | + | 0.0582623i | ||||
\(847\) | −0.131348 | −0.00451316 | ||||||||
\(848\) | 9.32955 | − | 11.5671i | 0.320378 | − | 0.397217i | ||||
\(849\) | −17.6135 | − | 6.15418i | −0.604493 | − | 0.211211i | ||||
\(850\) | −3.70491 | − | 4.27661i | −0.127077 | − | 0.146687i | ||||
\(851\) | −10.4790 | − | 25.2984i | −0.359214 | − | 0.867219i | ||||
\(852\) | 9.03886 | + | 10.7544i | 0.309666 | + | 0.368439i | ||||
\(853\) | −24.9124 | − | 10.3191i | −0.852986 | − | 0.353318i | −0.0870255 | − | 0.996206i | \(-0.527736\pi\) |
−0.765960 | + | 0.642888i | \(0.777736\pi\) | |||||||
\(854\) | 2.46852 | − | 4.93016i | 0.0844711 | − | 0.168707i | ||||
\(855\) | 3.51122 | − | 0.398872i | 0.120081 | − | 0.0136411i | ||||
\(856\) | −2.60027 | − | 1.80663i | −0.0888753 | − | 0.0617495i | ||||
\(857\) | −9.13231 | + | 9.13231i | −0.311954 | + | 0.311954i | −0.845666 | − | 0.533712i | \(-0.820797\pi\) |
0.533712 | + | 0.845666i | \(0.320797\pi\) | |||||||
\(858\) | −0.412042 | + | 27.5600i | −0.0140669 | + | 0.940885i | ||||
\(859\) | −20.1392 | − | 8.34191i | −0.687139 | − | 0.284622i | 0.0116685 | − | 0.999932i | \(-0.496286\pi\) |
−0.698808 | + | 0.715310i | \(0.746286\pi\) | |||||||
\(860\) | −2.32408 | + | 1.73901i | −0.0792505 | + | 0.0592997i | ||||
\(861\) | −2.62438 | + | 0.148586i | −0.0894388 | + | 0.00506380i | ||||
\(862\) | 2.45389 | − | 34.2585i | 0.0835800 | − | 1.16685i | ||||
\(863\) | −14.2708 | −0.485784 | −0.242892 | − | 0.970053i | \(-0.578096\pi\) | ||||
−0.242892 | + | 0.970053i | \(0.578096\pi\) | |||||||
\(864\) | −28.8767 | − | 5.48958i | −0.982406 | − | 0.186759i | ||||
\(865\) | 2.07233 | 0.0704614 | ||||||||
\(866\) | −2.17222 | + | 30.3260i | −0.0738149 | + | 1.03052i | ||||
\(867\) | −28.2735 | + | 1.60077i | −0.960217 | + | 0.0543651i | ||||
\(868\) | −3.66545 | − | 4.89865i | −0.124413 | − | 0.166271i | ||||
\(869\) | 24.9208 | + | 10.3225i | 0.845380 | + | 0.350168i | ||||
\(870\) | 0.0679404 | − | 4.54429i | 0.00230339 | − | 0.154066i | ||||
\(871\) | −23.2726 | + | 23.2726i | −0.788563 | + | 0.788563i | ||||
\(872\) | 0.921184 | + | 5.11517i | 0.0311952 | + | 0.173221i | ||||
\(873\) | 7.79212 | − | 0.885178i | 0.263723 | − | 0.0299587i | ||||
\(874\) | −27.2367 | + | 54.3974i | −0.921294 | + | 1.84002i | ||||
\(875\) | −0.733853 | − | 0.303972i | −0.0248088 | − | 0.0102761i | ||||
\(876\) | −26.1767 | + | 22.0010i | −0.884429 | + | 0.743346i | ||||
\(877\) | −10.3328 | − | 24.9457i | −0.348915 | − | 0.842355i | −0.996749 | − | 0.0805736i | \(-0.974325\pi\) |
0.647834 | − | 0.761782i | \(-0.275675\pi\) | |||||||
\(878\) | 2.24258 | + | 2.58863i | 0.0756834 | + | 0.0873621i | ||||
\(879\) | 41.0793 | + | 14.3532i | 1.38557 | + | 0.484121i | ||||
\(880\) | −1.25714 | − | 2.30462i | −0.0423781 | − | 0.0776886i | ||||
\(881\) | 3.06465 | 0.103251 | 0.0516254 | − | 0.998667i | \(-0.483560\pi\) | ||||
0.0516254 | + | 0.998667i | \(0.483560\pi\) | |||||||
\(882\) | −1.20583 | − | 28.9644i | −0.0406026 | − | 0.975283i | ||||
\(883\) | 0.883537 | − | 0.365973i | 0.0297334 | − | 0.0123160i | −0.367767 | − | 0.929918i | \(-0.619878\pi\) |
0.397501 | + | 0.917602i | \(0.369878\pi\) | |||||||
\(884\) | 1.33266 | + | 5.22598i | 0.0448223 | + | 0.175769i | ||||
\(885\) | −0.540122 | + | 0.604954i | −0.0181560 | + | 0.0203353i | ||||
\(886\) | −2.81251 | + | 5.61718i | −0.0944881 | + | 0.188713i | ||||
\(887\) | −5.90816 | + | 5.90816i | −0.198377 | + | 0.198377i | −0.799304 | − | 0.600927i | \(-0.794798\pi\) |
0.600927 | + | 0.799304i | \(0.294798\pi\) | |||||||
\(888\) | 9.85426 | − | 16.0488i | 0.330687 | − | 0.538564i | ||||
\(889\) | −1.98671 | − | 1.98671i | −0.0666320 | − | 0.0666320i | ||||
\(890\) | 2.01109 | − | 0.669116i | 0.0674119 | − | 0.0224288i | ||||
\(891\) | 29.8638 | + | 5.01788i | 1.00048 | + | 0.168105i | ||||
\(892\) | 1.83911 | − | 12.7719i | 0.0615780 | − | 0.427635i | ||||
\(893\) | 0.923891 | + | 2.23047i | 0.0309168 | + | 0.0746398i | ||||
\(894\) | 16.4926 | − | 38.1915i | 0.551594 | − | 1.27732i | ||||
\(895\) | 3.20155i | 0.107016i | ||||||||
\(896\) | 4.43852 | − | 1.29966i | 0.148281 | − | 0.0434186i | ||||
\(897\) | 38.9515 | + | 13.6097i | 1.30055 | + | 0.454415i | ||||
\(898\) | −0.641381 | + | 8.95423i | −0.0214032 | + | 0.298806i | ||||
\(899\) | 65.7654 | − | 27.2409i | 2.19340 | − | 0.908536i | ||||
\(900\) | −20.4130 | − | 21.6717i | −0.680435 | − | 0.722391i | ||||
\(901\) | −1.14639 | + | 2.76763i | −0.0381918 | + | 0.0922031i | ||||
\(902\) | −5.57701 | − | 16.7622i | −0.185694 | − | 0.558120i | ||||
\(903\) | 2.28800 | + | 4.74554i | 0.0761400 | + | 0.157922i | ||||
\(904\) | 3.85631 | + | 0.840185i | 0.128259 | + | 0.0279441i | ||||
\(905\) | −0.736562 | − | 0.736562i | −0.0244841 | − | 0.0244841i | ||||
\(906\) | 3.62291 | + | 3.73288i | 0.120363 | + | 0.124017i | ||||
\(907\) | −1.83330 | + | 4.42597i | −0.0608736 | + | 0.146962i | −0.951390 | − | 0.307990i | \(-0.900344\pi\) |
0.890516 | + | 0.454952i | \(0.150344\pi\) | |||||||
\(908\) | −6.64130 | + | 1.69358i | −0.220399 | + | 0.0562034i | ||||
\(909\) | 37.8964 | + | 10.8802i | 1.25694 | + | 0.360875i | ||||
\(910\) | 0.246924 | + | 0.285028i | 0.00818547 | + | 0.00944857i | ||||
\(911\) | − | 29.4647i | − | 0.976208i | −0.872786 | − | 0.488104i | \(-0.837689\pi\) | ||
0.872786 | − | 0.488104i | \(-0.162311\pi\) | |||||||
\(912\) | −41.2836 | + | 6.79918i | −1.36704 | + | 0.225143i | ||||
\(913\) | 21.7274i | 0.719073i | ||||||||
\(914\) | −15.1482 | + | 13.1232i | −0.501059 | + | 0.434076i | ||||
\(915\) | −3.21696 | + | 0.182136i | −0.106349 | + | 0.00602123i | ||||
\(916\) | 23.0421 | − | 38.8164i | 0.761331 | − | 1.28253i | ||||
\(917\) | 2.71903 | − | 6.56433i | 0.0897904 | − | 0.216773i | ||||
\(918\) | 5.89678 | − | 0.580722i | 0.194623 | − | 0.0191667i | ||||
\(919\) | 14.4648 | + | 14.4648i | 0.477149 | + | 0.477149i | 0.904219 | − | 0.427070i | \(-0.140454\pi\) |
−0.427070 | + | 0.904219i | \(0.640454\pi\) | |||||||
\(920\) | −3.86757 | + | 0.696506i | −0.127510 | + | 0.0229631i | ||||
\(921\) | 31.0695 | − | 14.9798i | 1.02377 | − | 0.493600i | ||||
\(922\) | 27.8371 | − | 9.26177i | 0.916766 | − | 0.305020i | ||||
\(923\) | 5.19016 | − | 12.5302i | 0.170836 | − | 0.412435i | ||||
\(924\) | −4.54301 | + | 1.43645i | −0.149454 | + | 0.0472558i | ||||
\(925\) | 17.6228 | − | 7.29962i | 0.579435 | − | 0.240010i | ||||
\(926\) | −43.6770 | − | 3.12853i | −1.43532 | − | 0.102810i | ||||
\(927\) | 22.3790 | − | 28.1151i | 0.735023 | − | 0.923421i | ||||
\(928\) | 1.89185 | + | 53.7764i | 0.0621029 | + | 1.76530i | ||||
\(929\) | 30.4237i | 0.998170i | 0.866553 | + | 0.499085i | \(0.166330\pi\) | ||||
−0.866553 | + | 0.499085i | \(0.833670\pi\) | |||||||
\(930\) | −1.41748 | + | 3.28242i | −0.0464809 | + | 0.107635i | ||||
\(931\) | −15.7911 | − | 38.1231i | −0.517533 | − | 1.24943i | ||||
\(932\) | 26.3030 | + | 35.1524i | 0.861584 | + | 1.15146i | ||||
\(933\) | −1.53099 | + | 1.71476i | −0.0501225 | + | 0.0561387i | ||||
\(934\) | −3.35533 | − | 10.0848i | −0.109790 | − | 0.329983i | ||||
\(935\) | 0.374197 | + | 0.374197i | 0.0122376 | + | 0.0122376i | ||||
\(936\) | 8.14970 | + | 27.1818i | 0.266381 | + | 0.888466i | ||||
\(937\) | 17.7838 | − | 17.7838i | 0.580972 | − | 0.580972i | −0.354199 | − | 0.935170i | \(-0.615246\pi\) |
0.935170 | + | 0.354199i | \(0.115246\pi\) | |||||||
\(938\) | −5.08734 | − | 2.54722i | −0.166108 | − | 0.0831697i | ||||
\(939\) | 20.6199 | + | 18.4101i | 0.672903 | + | 0.600790i | ||||
\(940\) | −0.0796072 | + | 0.134105i | −0.00259650 | + | 0.00437404i | ||||
\(941\) | −11.2523 | + | 4.66086i | −0.366815 | + | 0.151940i | −0.558474 | − | 0.829522i | \(-0.688613\pi\) |
0.191660 | + | 0.981461i | \(0.438613\pi\) | |||||||
\(942\) | −31.4440 | + | 12.4772i | −1.02450 | + | 0.406528i | ||||
\(943\) | −26.4446 | −0.861154 | ||||||||
\(944\) | 6.02814 | − | 7.47392i | 0.196199 | − | 0.243255i | ||||
\(945\) | 0.350508 | − | 0.220910i | 0.0114020 | − | 0.00718621i | ||||
\(946\) | −26.7606 | + | 23.1832i | −0.870063 | + | 0.753751i | ||||
\(947\) | 15.4459 | + | 37.2898i | 0.501925 | + | 1.21175i | 0.948434 | + | 0.316975i | \(0.102667\pi\) |
−0.446509 | + | 0.894779i | \(0.647333\pi\) | |||||||
\(948\) | 27.6671 | + | 2.39797i | 0.898585 | + | 0.0778825i | ||||
\(949\) | 30.4990 | + | 12.6331i | 0.990040 | + | 0.410088i | ||||
\(950\) | −37.8931 | − | 18.9730i | −1.22941 | − | 0.615565i | ||||
\(951\) | −14.8876 | − | 30.8783i | −0.482763 | − | 1.00130i | ||||
\(952\) | −0.784461 | + | 0.503787i | −0.0254245 | + | 0.0163278i | ||||
\(953\) | −35.9782 | + | 35.9782i | −1.16545 | + | 1.16545i | −0.182184 | + | 0.983264i | \(0.558317\pi\) |
−0.983264 | + | 0.182184i | \(0.941683\pi\) | |||||||
\(954\) | −5.42095 | + | 14.8006i | −0.175510 | + | 0.479187i | ||||
\(955\) | −2.09858 | − | 0.869261i | −0.0679085 | − | 0.0281286i | ||||
\(956\) | 6.36622 | − | 44.2109i | 0.205898 | − | 1.42988i | ||||
\(957\) | −3.13365 | − | 55.3477i | −0.101297 | − | 1.78914i | ||||
\(958\) | 17.4705 | + | 1.25140i | 0.564448 | + | 0.0404307i | ||||
\(959\) | 6.23131 | 0.201219 | ||||||||
\(960\) | −1.94937 | − | 1.87210i | −0.0629155 | − | 0.0604218i | ||||
\(961\) | −25.0007 | −0.806476 | ||||||||
\(962\) | −18.1349 | − | 1.29898i | −0.584694 | − | 0.0418809i | ||||
\(963\) | 3.22794 | + | 0.926757i | 0.104019 | + | 0.0298643i | ||||
\(964\) | 2.86037 | − | 19.8642i | 0.0921263 | − | 0.639782i | ||||
\(965\) | 1.08704 | + | 0.450266i | 0.0349930 | + | 0.0144946i | ||||
\(966\) | −0.106624 | + | 7.13171i | −0.00343058 | + | 0.229459i | ||||
\(967\) | 23.1751 | − | 23.1751i | 0.745262 | − | 0.745262i | −0.228324 | − | 0.973585i | \(-0.573324\pi\) |
0.973585 | + | 0.228324i | \(0.0733244\pi\) | |||||||
\(968\) | −0.491092 | − | 0.764694i | −0.0157843 | − | 0.0245782i | ||||
\(969\) | 7.59726 | − | 3.66293i | 0.244059 | − | 0.117670i | ||||
\(970\) | 0.644778 | + | 0.322839i | 0.0207026 | + | 0.0103657i | ||||
\(971\) | −33.6938 | − | 13.9564i | −1.08128 | − | 0.447883i | −0.230325 | − | 0.973114i | \(-0.573979\pi\) |
−0.850960 | + | 0.525231i | \(0.823979\pi\) | |||||||
\(972\) | 30.8729 | − | 4.34349i | 0.990248 | − | 0.139318i | ||||
\(973\) | −0.577137 | − | 1.39333i | −0.0185022 | − | 0.0446682i | ||||
\(974\) | 13.3442 | − | 11.5603i | 0.427577 | − | 0.370417i | ||||
\(975\) | −9.48049 | + | 27.1335i | −0.303619 | + | 0.868967i | ||||
\(976\) | 37.9324 | − | 4.06175i | 1.21419 | − | 0.130013i | ||||
\(977\) | 42.1411 | 1.34821 | 0.674106 | − | 0.738635i | \(-0.264529\pi\) | ||||
0.674106 | + | 0.738635i | \(0.264529\pi\) | |||||||
\(978\) | −7.14138 | − | 17.9972i | −0.228356 | − | 0.575486i | ||||
\(979\) | 23.8850 | − | 9.89348i | 0.763367 | − | 0.316197i | ||||
\(980\) | 1.36064 | − | 2.29213i | 0.0434642 | − | 0.0732193i | ||||
\(981\) | −2.67102 | − | 4.82243i | −0.0852792 | − | 0.153968i | ||||
\(982\) | 12.4997 | + | 6.25860i | 0.398883 | + | 0.199720i | ||||
\(983\) | 27.4787 | − | 27.4787i | 0.876436 | − | 0.876436i | −0.116728 | − | 0.993164i | \(-0.537241\pi\) |
0.993164 | + | 0.116728i | \(0.0372406\pi\) | |||||||
\(984\) | −10.6773 | − | 14.7234i | −0.340380 | − | 0.469364i | ||||
\(985\) | 0.0868009 | + | 0.0868009i | 0.00276571 | + | 0.00276571i | ||||
\(986\) | −3.42442 | − | 10.2924i | −0.109056 | − | 0.327777i | ||||
\(987\) | 0.211143 | + | 0.188515i | 0.00672076 | + | 0.00600051i | ||||
\(988\) | 24.1995 | + | 32.3412i | 0.769890 | + | 1.02891i | ||||
\(989\) | 20.2827 | + | 48.9667i | 0.644951 | + | 1.55705i | ||||
\(990\) | 2.04909 | + | 1.88530i | 0.0651243 | + | 0.0599186i | ||||
\(991\) | 42.6090i | 1.35352i | 0.736204 | + | 0.676760i | \(0.236616\pi\) | ||||
−0.736204 | + | 0.676760i | \(0.763384\pi\) | |||||||
\(992\) | 14.8148 | − | 39.6553i | 0.470371 | − | 1.25906i | ||||
\(993\) | −7.15560 | + | 20.4796i | −0.227076 | + | 0.649899i | ||||
\(994\) | 2.33850 | + | 0.167504i | 0.0741726 | + | 0.00531290i | ||||
\(995\) | 3.46777 | − | 1.43640i | 0.109936 | − | 0.0455368i | ||||
\(996\) | 6.74383 | + | 21.3284i | 0.213686 | + | 0.675817i | ||||
\(997\) | −5.53889 | + | 13.3721i | −0.175418 | + | 0.423497i | −0.986995 | − | 0.160748i | \(-0.948609\pi\) |
0.811577 | + | 0.584245i | \(0.198609\pi\) | |||||||
\(998\) | 7.06992 | − | 2.35226i | 0.223795 | − | 0.0744594i | ||||
\(999\) | −4.41816 | + | 19.4804i | −0.139785 | + | 0.616332i |
(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 | 96.2.o.a.11.1 | ✓ | 56 | |
3.2 | odd | 2 | inner | 96.2.o.a.11.14 | yes | 56 | |
4.3 | odd | 2 | 384.2.o.a.335.1 | 56 | |||
8.3 | odd | 2 | 768.2.o.a.671.14 | 56 | |||
8.5 | even | 2 | 768.2.o.b.671.1 | 56 | |||
12.11 | even | 2 | 384.2.o.a.335.11 | 56 | |||
24.5 | odd | 2 | 768.2.o.b.671.11 | 56 | |||
24.11 | even | 2 | 768.2.o.a.671.4 | 56 | |||
32.3 | odd | 8 | inner | 96.2.o.a.35.14 | yes | 56 | |
32.13 | even | 8 | 768.2.o.a.95.4 | 56 | |||
32.19 | odd | 8 | 768.2.o.b.95.11 | 56 | |||
32.29 | even | 8 | 384.2.o.a.47.11 | 56 | |||
96.29 | odd | 8 | 384.2.o.a.47.1 | 56 | |||
96.35 | even | 8 | inner | 96.2.o.a.35.1 | yes | 56 | |
96.77 | odd | 8 | 768.2.o.a.95.14 | 56 | |||
96.83 | even | 8 | 768.2.o.b.95.1 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.o.a.11.1 | ✓ | 56 | 1.1 | even | 1 | trivial | |
96.2.o.a.11.14 | yes | 56 | 3.2 | odd | 2 | inner | |
96.2.o.a.35.1 | yes | 56 | 96.35 | even | 8 | inner | |
96.2.o.a.35.14 | yes | 56 | 32.3 | odd | 8 | inner | |
384.2.o.a.47.1 | 56 | 96.29 | odd | 8 | |||
384.2.o.a.47.11 | 56 | 32.29 | even | 8 | |||
384.2.o.a.335.1 | 56 | 4.3 | odd | 2 | |||
384.2.o.a.335.11 | 56 | 12.11 | even | 2 | |||
768.2.o.a.95.4 | 56 | 32.13 | even | 8 | |||
768.2.o.a.95.14 | 56 | 96.77 | odd | 8 | |||
768.2.o.a.671.4 | 56 | 24.11 | even | 2 | |||
768.2.o.a.671.14 | 56 | 8.3 | odd | 2 | |||
768.2.o.b.95.1 | 56 | 96.83 | even | 8 | |||
768.2.o.b.95.11 | 56 | 32.19 | odd | 8 | |||
768.2.o.b.671.1 | 56 | 8.5 | even | 2 | |||
768.2.o.b.671.11 | 56 | 24.5 | odd | 2 |