Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.3 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.3 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.60649 | − | 0.146377i | −1.84306 | − | 0.103504i | −0.899954 | − | 0.435984i | \(-0.856400\pi\) |
−0.943110 | + | 0.332480i | \(0.892115\pi\) | |||||||
\(3\) | −0.304024 | + | 0.515395i | −0.175528 | + | 0.297563i | −0.936129 | − | 0.351656i | \(-0.885619\pi\) |
0.760601 | + | 0.649220i | \(0.224904\pi\) | |||||||
\(4\) | 4.78492 | + | 0.539131i | 2.39246 | + | 0.269566i | ||||
\(5\) | 0.0135060 | + | 0.481371i | 0.00604005 | + | 0.215275i | 0.996815 | + | 0.0797545i | \(0.0254136\pi\) |
−0.990774 | + | 0.135521i | \(0.956729\pi\) | |||||||
\(6\) | 0.867876 | − | 1.29887i | 0.354309 | − | 0.530261i | ||||
\(7\) | 4.93075 | − | 0.980788i | 1.86365 | − | 0.370703i | 0.870955 | − | 0.491362i | \(-0.163501\pi\) |
0.992694 | + | 0.120660i | \(0.0385009\pi\) | |||||||
\(8\) | −7.24551 | − | 1.23106i | −2.56167 | − | 0.435246i | ||||
\(9\) | 1.27796 | + | 2.31229i | 0.425985 | + | 0.770762i | ||||
\(10\) | 0.0352586 | − | 1.25666i | 0.0111497 | − | 0.397392i | ||||
\(11\) | −4.09084 | + | 1.30387i | −1.23343 | + | 0.393131i | −0.848194 | − | 0.529685i | \(-0.822310\pi\) |
−0.385241 | + | 0.922816i | \(0.625882\pi\) | |||||||
\(12\) | −1.73260 | + | 2.30222i | −0.500157 | + | 0.664593i | ||||
\(13\) | −3.33787 | + | 5.31219i | −0.925759 | + | 1.47334i | −0.0454334 | + | 0.998967i | \(0.514467\pi\) |
−0.880326 | + | 0.474370i | \(0.842676\pi\) | |||||||
\(14\) | −12.9955 | + | 1.83466i | −3.47320 | + | 0.490334i | ||||
\(15\) | −0.252202 | − | 0.139387i | −0.0651183 | − | 0.0359896i | ||||
\(16\) | 9.31617 | + | 2.12636i | 2.32904 | + | 0.531589i | ||||
\(17\) | 0.345634 | + | 4.10859i | 0.0838286 | + | 0.996480i | ||||
\(18\) | −2.99251 | − | 6.21401i | −0.705341 | − | 1.46466i | ||||
\(19\) | −0.957762 | − | 0.529336i | −0.219726 | − | 0.121438i | 0.370030 | − | 0.929020i | \(-0.379347\pi\) |
−0.589756 | + | 0.807582i | \(0.700776\pi\) | |||||||
\(20\) | −0.194897 | + | 2.31060i | −0.0435803 | + | 0.516666i | ||||
\(21\) | −0.993573 | + | 2.83947i | −0.216815 | + | 0.619623i | ||||
\(22\) | 10.8536 | − | 2.79971i | 2.31399 | − | 0.596900i | ||||
\(23\) | −1.01631 | − | 3.18864i | −0.211915 | − | 0.664877i | −0.998855 | − | 0.0478465i | \(-0.984764\pi\) |
0.786939 | − | 0.617030i | \(-0.211664\pi\) | |||||||
\(24\) | 2.83729 | − | 3.36003i | 0.579159 | − | 0.685862i | ||||
\(25\) | 4.76060 | − | 0.267350i | 0.952120 | − | 0.0534699i | ||||
\(26\) | 9.47770 | − | 13.3576i | 1.85873 | − | 2.61964i | ||||
\(27\) | −3.37471 | − | 0.0946853i | −0.649464 | − | 0.0182222i | ||||
\(28\) | 24.1220 | − | 2.03467i | 4.55864 | − | 0.384517i | ||||
\(29\) | −0.122302 | + | 0.162511i | −0.0227109 | + | 0.0301775i | −0.810223 | − | 0.586121i | \(-0.800654\pi\) |
0.787513 | + | 0.616299i | \(0.211369\pi\) | |||||||
\(30\) | 0.636958 | + | 0.400227i | 0.116292 | + | 0.0730712i | ||||
\(31\) | −6.99126 | + | 0.987003i | −1.25567 | + | 0.177271i | −0.735932 | − | 0.677056i | \(-0.763256\pi\) |
−0.519736 | + | 0.854327i | \(0.673970\pi\) | |||||||
\(32\) | −9.84701 | − | 2.83687i | −1.74072 | − | 0.501493i | ||||
\(33\) | 0.571706 | − | 2.50481i | 0.0995212 | − | 0.436031i | ||||
\(34\) | −0.299486 | − | 10.7596i | −0.0513615 | − | 1.84525i | ||||
\(35\) | 0.538717 | + | 2.36027i | 0.0910597 | + | 0.398959i | ||||
\(36\) | 4.86829 | + | 11.7531i | 0.811382 | + | 1.95885i | ||||
\(37\) | −6.15112 | + | 4.11004i | −1.01124 | + | 0.675687i | −0.946663 | − | 0.322226i | \(-0.895569\pi\) |
−0.0645744 | + | 0.997913i | \(0.520569\pi\) | |||||||
\(38\) | 2.41891 | + | 1.51990i | 0.392399 | + | 0.246561i | ||||
\(39\) | −1.72309 | − | 3.33536i | −0.275914 | − | 0.534084i | ||||
\(40\) | 0.494739 | − | 3.50440i | 0.0782251 | − | 0.554094i | ||||
\(41\) | 0.612719 | − | 2.37532i | 0.0956906 | − | 0.370962i | −0.902528 | − | 0.430632i | \(-0.858291\pi\) |
0.998218 | + | 0.0596702i | \(0.0190049\pi\) | |||||||
\(42\) | 3.00537 | − | 7.25560i | 0.463738 | − | 1.11956i | ||||
\(43\) | −0.193699 | − | 6.55458i | −0.0295388 | − | 0.999564i | ||||
\(44\) | −20.2773 | + | 4.03341i | −3.05692 | + | 0.608059i | ||||
\(45\) | −1.09581 | + | 0.646400i | −0.163353 | + | 0.0963596i | ||||
\(46\) | 2.18226 | + | 8.45991i | 0.321756 | + | 1.24735i | ||||
\(47\) | −0.677786 | + | 6.01552i | −0.0988653 | + | 0.877453i | 0.842185 | + | 0.539188i | \(0.181269\pi\) |
−0.941051 | + | 0.338265i | \(0.890160\pi\) | |||||||
\(48\) | −3.92825 | + | 4.15505i | −0.566994 | + | 0.599729i | ||||
\(49\) | 16.8832 | − | 6.99326i | 2.41189 | − | 0.999037i | ||||
\(50\) | −12.4476 | −1.76035 | ||||||||
\(51\) | −2.22263 | − | 1.07097i | −0.311230 | − | 0.149966i | ||||
\(52\) | −18.8354 | + | 23.6189i | −2.61200 | + | 3.27535i | ||||
\(53\) | −2.74390 | + | 0.466207i | −0.376903 | + | 0.0640384i | −0.352869 | − | 0.935673i | \(-0.614794\pi\) |
−0.0240342 | + | 0.999711i | \(0.507651\pi\) | |||||||
\(54\) | 8.78228 | + | 0.740777i | 1.19512 | + | 0.100807i | ||||
\(55\) | −0.682894 | − | 1.95160i | −0.0920815 | − | 0.263154i | ||||
\(56\) | −36.9332 | + | 1.03625i | −4.93541 | + | 0.138474i | ||||
\(57\) | 0.564000 | − | 0.332695i | 0.0747036 | − | 0.0440665i | ||||
\(58\) | 0.342566 | − | 0.405680i | 0.0449811 | − | 0.0532683i | ||||
\(59\) | 6.24519 | − | 8.80177i | 0.813054 | − | 1.14589i | −0.173879 | − | 0.984767i | \(-0.555630\pi\) |
0.986934 | − | 0.161126i | \(-0.0515126\pi\) | |||||||
\(60\) | −1.13162 | − | 0.802927i | −0.146091 | − | 0.103657i | ||||
\(61\) | 1.91560 | + | 2.54538i | 0.245267 | + | 0.325903i | 0.904851 | − | 0.425728i | \(-0.139982\pi\) |
−0.659584 | + | 0.751631i | \(0.729268\pi\) | |||||||
\(62\) | 18.3671 | − | 1.54925i | 2.33263 | − | 0.196755i | ||||
\(63\) | 8.56914 | + | 10.1479i | 1.07961 | + | 1.27852i | ||||
\(64\) | 7.21181 | + | 2.52352i | 0.901476 | + | 0.315440i | ||||
\(65\) | −2.60221 | − | 1.53501i | −0.322765 | − | 0.190394i | ||||
\(66\) | −1.85679 | + | 6.44506i | −0.228555 | + | 0.793332i | ||||
\(67\) | −5.12198 | + | 4.08464i | −0.625749 | + | 0.499018i | −0.884263 | − | 0.466989i | \(-0.845339\pi\) |
0.258514 | + | 0.966008i | \(0.416767\pi\) | |||||||
\(68\) | −0.561239 | + | 19.8456i | −0.0680602 | + | 2.40664i | ||||
\(69\) | 1.95239 | + | 0.445620i | 0.235040 | + | 0.0536464i | ||||
\(70\) | −1.05867 | − | 6.23087i | −0.126535 | − | 0.744732i | ||||
\(71\) | −0.892803 | − | 0.284562i | −0.105956 | − | 0.0337713i | 0.250229 | − | 0.968187i | \(-0.419494\pi\) |
−0.356185 | + | 0.934415i | \(0.615923\pi\) | |||||||
\(72\) | −6.41287 | − | 18.3269i | −0.755764 | − | 2.15985i | ||||
\(73\) | 0.231637 | + | 8.25585i | 0.0271110 | + | 0.966274i | 0.888651 | + | 0.458584i | \(0.151643\pi\) |
−0.861540 | + | 0.507690i | \(0.830500\pi\) | |||||||
\(74\) | 16.6344 | − | 9.81239i | 1.93371 | − | 1.14067i | ||||
\(75\) | −1.30954 | + | 2.53487i | −0.151213 | + | 0.292702i | ||||
\(76\) | −4.29744 | − | 3.04919i | −0.492950 | − | 0.349766i | ||||
\(77\) | −18.8921 | + | 10.4413i | −2.15296 | + | 1.18990i | ||||
\(78\) | 4.00298 | + | 8.94578i | 0.453248 | + | 1.01291i | ||||
\(79\) | −8.23312 | − | 5.50119i | −0.926298 | − | 0.618932i | −0.00175000 | − | 0.999998i | \(-0.500557\pi\) |
−0.924548 | + | 0.381066i | \(0.875557\pi\) | |||||||
\(80\) | −0.897741 | + | 4.51325i | −0.100371 | + | 0.504597i | ||||
\(81\) | −3.14199 | + | 5.00045i | −0.349110 | + | 0.555606i | ||||
\(82\) | −1.94474 | + | 6.10154i | −0.214760 | + | 0.673802i | ||||
\(83\) | −6.62572 | + | 7.41419i | −0.727268 | + | 0.813813i | −0.988461 | − | 0.151473i | \(-0.951598\pi\) |
0.261194 | + | 0.965286i | \(0.415884\pi\) | |||||||
\(84\) | −6.28502 | + | 13.0510i | −0.685751 | + | 1.42398i | ||||
\(85\) | −1.97309 | + | 0.221869i | −0.214011 | + | 0.0240650i | ||||
\(86\) | −0.454566 | + | 17.1128i | −0.0490171 | + | 1.84532i | ||||
\(87\) | −0.0465745 | − | 0.112441i | −0.00499331 | − | 0.0120549i | ||||
\(88\) | 31.2454 | − | 4.41111i | 3.33077 | − | 0.470226i | ||||
\(89\) | 6.64773 | + | 2.32614i | 0.704658 | + | 0.246571i | 0.658736 | − | 0.752374i | \(-0.271092\pi\) |
0.0459224 | + | 0.998945i | \(0.485377\pi\) | |||||||
\(90\) | 2.95082 | − | 1.52443i | 0.311044 | − | 0.160689i | ||||
\(91\) | −11.2481 | + | 29.4668i | −1.17912 | + | 3.08897i | ||||
\(92\) | −3.14387 | − | 15.8053i | −0.327771 | − | 1.64782i | ||||
\(93\) | 1.61681 | − | 3.90333i | 0.167656 | − | 0.404757i | ||||
\(94\) | 2.64717 | − | 15.5802i | 0.273035 | − | 1.60697i | ||||
\(95\) | 0.241871 | − | 0.468188i | 0.0248155 | − | 0.0480350i | ||||
\(96\) | 4.45584 | − | 4.21262i | 0.454772 | − | 0.429949i | ||||
\(97\) | −5.44279 | + | 4.59602i | −0.552631 | + | 0.466656i | −0.877818 | − | 0.478994i | \(-0.841001\pi\) |
0.325187 | + | 0.945650i | \(0.394573\pi\) | |||||||
\(98\) | −45.0295 | + | 15.7565i | −4.54867 | + | 1.59165i | ||||
\(99\) | −8.24283 | − | 7.79291i | −0.828435 | − | 0.783217i | ||||
\(100\) | 22.9232 | + | 1.28734i | 2.29232 | + | 0.128734i | ||||
\(101\) | 12.0524 | − | 9.61146i | 1.19926 | − | 0.956376i | 0.199534 | − | 0.979891i | \(-0.436057\pi\) |
0.999723 | + | 0.0235146i | \(0.00748562\pi\) | |||||||
\(102\) | 5.63649 | + | 3.11682i | 0.558096 | + | 0.308611i | ||||
\(103\) | 0.575508 | − | 2.52147i | 0.0567065 | − | 0.248447i | −0.938628 | − | 0.344931i | \(-0.887902\pi\) |
0.995335 | + | 0.0964835i | \(0.0307595\pi\) | |||||||
\(104\) | 30.7242 | − | 34.3804i | 3.01276 | − | 3.37128i | ||||
\(105\) | −1.38026 | − | 0.439927i | −0.134699 | − | 0.0429325i | ||||
\(106\) | 7.22018 | − | 0.813518i | 0.701285 | − | 0.0790159i | ||||
\(107\) | 3.00564 | + | 11.6519i | 0.290566 | + | 1.12643i | 0.932937 | + | 0.360038i | \(0.117236\pi\) |
−0.642371 | + | 0.766394i | \(0.722049\pi\) | |||||||
\(108\) | −16.0967 | − | 2.27248i | −1.54891 | − | 0.218669i | ||||
\(109\) | −4.93446 | − | 2.54920i | −0.472635 | − | 0.244169i | 0.206130 | − | 0.978525i | \(-0.433913\pi\) |
−0.678765 | + | 0.734356i | \(0.737485\pi\) | |||||||
\(110\) | 1.49429 | + | 5.18678i | 0.142475 | + | 0.494540i | ||||
\(111\) | −0.248211 | − | 4.41981i | −0.0235591 | − | 0.419509i | ||||
\(112\) | 48.0212 | + | 1.34735i | 4.53758 | + | 0.127312i | ||||
\(113\) | 5.96549 | + | 6.30991i | 0.561186 | + | 0.593586i | 0.943880 | − | 0.330289i | \(-0.107146\pi\) |
−0.382693 | + | 0.923875i | \(0.625003\pi\) | |||||||
\(114\) | −1.51876 | + | 0.784608i | −0.142245 | + | 0.0734853i | ||||
\(115\) | 1.52119 | − | 0.532287i | 0.141852 | − | 0.0496360i | ||||
\(116\) | −0.672819 | + | 0.711664i | −0.0624697 | + | 0.0660764i | ||||
\(117\) | −16.5490 | − | 0.929369i | −1.52995 | − | 0.0859202i | ||||
\(118\) | −17.5664 | + | 22.0275i | −1.61712 | + | 2.02780i | ||||
\(119\) | 5.73389 | + | 19.9195i | 0.525625 | + | 1.82601i | ||||
\(120\) | 1.65574 | + | 1.32041i | 0.151147 | + | 0.120536i | ||||
\(121\) | 6.06374 | − | 4.30245i | 0.551249 | − | 0.391132i | ||||
\(122\) | −4.62040 | − | 6.91491i | −0.418311 | − | 0.626047i | ||||
\(123\) | 1.03794 | + | 1.03794i | 0.0935883 | + | 0.0935883i | ||||
\(124\) | −33.9848 | + | 0.953521i | −3.05192 | + | 0.0856287i | ||||
\(125\) | 0.395367 | + | 4.68728i | 0.0353627 | + | 0.419243i | ||||
\(126\) | −20.8499 | − | 27.7047i | −1.85746 | − | 2.46813i | ||||
\(127\) | −2.52011 | − | 2.82001i | −0.223624 | − | 0.250235i | 0.623258 | − | 0.782016i | \(-0.285809\pi\) |
−0.846882 | + | 0.531781i | \(0.821523\pi\) | |||||||
\(128\) | 0.506832 | + | 0.209937i | 0.0447980 | + | 0.0185560i | ||||
\(129\) | 3.43709 | + | 1.89292i | 0.302618 | + | 0.166662i | ||||
\(130\) | 6.55795 | + | 4.38188i | 0.575170 | + | 0.384316i | ||||
\(131\) | 6.01534 | − | 7.99299i | 0.525563 | − | 0.698351i | −0.455894 | − | 0.890034i | \(-0.650680\pi\) |
0.981457 | + | 0.191683i | \(0.0613947\pi\) | |||||||
\(132\) | 4.08599 | − | 11.6771i | 0.355640 | − | 1.01636i | ||||
\(133\) | −5.24165 | − | 1.67067i | −0.454509 | − | 0.144865i | ||||
\(134\) | 13.9483 | − | 9.89682i | 1.20495 | − | 0.854955i | ||||
\(135\) | − | 1.62577i | − | 0.139924i | ||||||
\(136\) | 2.55364 | − | 30.1943i | 0.218972 | − | 2.58914i | ||||
\(137\) | −6.36962 | + | 1.45382i | −0.544193 | + | 0.124209i | −0.485775 | − | 0.874084i | \(-0.661463\pi\) |
−0.0584179 | + | 0.998292i | \(0.518606\pi\) | |||||||
\(138\) | −5.02365 | − | 1.44729i | −0.427642 | − | 0.123201i | ||||
\(139\) | −1.15344 | + | 0.440290i | −0.0978333 | + | 0.0373449i | −0.405049 | − | 0.914295i | \(-0.632746\pi\) |
0.307216 | + | 0.951640i | \(0.400603\pi\) | |||||||
\(140\) | 1.30522 | + | 11.5842i | 0.110311 | + | 0.979040i | ||||
\(141\) | −2.89430 | − | 2.17819i | −0.243744 | − | 0.183436i | ||||
\(142\) | 2.28543 | + | 0.872393i | 0.191789 | + | 0.0732096i | ||||
\(143\) | 6.72830 | − | 26.0835i | 0.562649 | − | 2.18121i | ||||
\(144\) | 6.98891 | + | 24.2590i | 0.582409 | + | 2.02159i | ||||
\(145\) | −0.0798796 | − | 0.0566776i | −0.00663364 | − | 0.00470682i | ||||
\(146\) | 0.604710 | − | 21.5527i | 0.0500461 | − | 1.78371i | ||||
\(147\) | −1.52861 | + | 10.8276i | −0.126078 | + | 0.893049i | ||||
\(148\) | −31.6485 | + | 16.3500i | −2.60149 | + | 1.34396i | ||||
\(149\) | 1.52560 | + | 13.5401i | 0.124982 | + | 1.10925i | 0.887026 | + | 0.461720i | \(0.152768\pi\) |
−0.762044 | + | 0.647526i | \(0.775804\pi\) | |||||||
\(150\) | 3.78436 | − | 6.41542i | 0.308992 | − | 0.523817i | ||||
\(151\) | 10.1739 | + | 9.09198i | 0.827942 | + | 0.739895i | 0.968188 | − | 0.250222i | \(-0.0805036\pi\) |
−0.140246 | + | 0.990117i | \(0.544789\pi\) | |||||||
\(152\) | 6.28783 | + | 5.01437i | 0.510010 | + | 0.406719i | ||||
\(153\) | −9.05854 | + | 6.04980i | −0.732339 | + | 0.489098i | ||||
\(154\) | 50.7704 | − | 24.4497i | 4.09119 | − | 1.97022i | ||||
\(155\) | −0.569538 | − | 3.35206i | −0.0457464 | − | 0.269244i | ||||
\(156\) | −6.44664 | − | 16.8884i | −0.516144 | − | 1.35215i | ||||
\(157\) | 1.62725 | − | 14.4422i | 0.129868 | − | 1.15261i | −0.744593 | − | 0.667519i | \(-0.767356\pi\) |
0.874461 | − | 0.485096i | \(-0.161215\pi\) | |||||||
\(158\) | 20.6543 | + | 15.5439i | 1.64316 | + | 1.23661i | ||||
\(159\) | 0.593929 | − | 1.55593i | 0.0471017 | − | 0.123393i | ||||
\(160\) | 1.23259 | − | 4.77837i | 0.0974451 | − | 0.377764i | ||||
\(161\) | −8.13855 | − | 14.7256i | −0.641408 | − | 1.16054i | ||||
\(162\) | 8.92152 | − | 12.5737i | 0.700941 | − | 0.987883i | ||||
\(163\) | 6.13711 | + | 3.17051i | 0.480696 | + | 0.248333i | 0.682215 | − | 0.731151i | \(-0.261017\pi\) |
−0.201520 | + | 0.979484i | \(0.564588\pi\) | |||||||
\(164\) | 4.21242 | − | 11.0354i | 0.328935 | − | 0.861717i | ||||
\(165\) | 1.21346 | + | 0.241372i | 0.0944678 | + | 0.0187908i | ||||
\(166\) | 18.3551 | − | 18.3551i | 1.42463 | − | 1.42463i | ||||
\(167\) | 8.65703 | + | 8.18450i | 0.669901 | + | 0.633336i | 0.944611 | − | 0.328191i | \(-0.106439\pi\) |
−0.274710 | + | 0.961527i | \(0.588582\pi\) | |||||||
\(168\) | 10.6945 | − | 19.3502i | 0.825098 | − | 1.49290i | ||||
\(169\) | −11.4375 | − | 23.7502i | −0.879809 | − | 1.82694i | ||||
\(170\) | 5.17530 | − | 0.289482i | 0.396928 | − | 0.0222023i | ||||
\(171\) | − | 2.89109i | − | 0.221087i | ||||||
\(172\) | 2.60694 | − | 31.4676i | 0.198778 | − | 2.39938i | ||||
\(173\) | 7.69237 | + | 11.5124i | 0.584840 | + | 0.875275i | 0.999396 | − | 0.0347488i | \(-0.0110631\pi\) |
−0.414556 | + | 0.910024i | \(0.636063\pi\) | |||||||
\(174\) | 0.104937 | + | 0.299893i | 0.00795526 | + | 0.0227348i | ||||
\(175\) | 23.2111 | − | 5.98737i | 1.75460 | − | 0.452603i | ||||
\(176\) | −40.8835 | + | 3.44848i | −3.08171 | + | 0.259939i | ||||
\(177\) | 2.63770 | + | 5.89469i | 0.198262 | + | 0.443072i | ||||
\(178\) | −16.9867 | − | 7.03613i | −1.27321 | − | 0.527381i | ||||
\(179\) | −16.0280 | − | 6.63904i | −1.19799 | − | 0.496225i | −0.307643 | − | 0.951502i | \(-0.599540\pi\) |
−0.890350 | + | 0.455277i | \(0.849540\pi\) | |||||||
\(180\) | −5.59184 | + | 2.50219i | −0.416791 | + | 0.186502i | ||||
\(181\) | 10.8358 | − | 3.45369i | 0.805420 | − | 0.256710i | 0.127493 | − | 0.991840i | \(-0.459307\pi\) |
0.677927 | + | 0.735129i | \(0.262878\pi\) | |||||||
\(182\) | 33.6313 | − | 75.1585i | 2.49292 | − | 5.57112i | ||||
\(183\) | −1.89427 | + | 0.213433i | −0.140028 | + | 0.0157774i | ||||
\(184\) | 3.43827 | + | 24.3544i | 0.253473 | + | 1.79543i | ||||
\(185\) | −2.06153 | − | 2.90546i | −0.151567 | − | 0.213613i | ||||
\(186\) | −4.78556 | + | 9.93733i | −0.350895 | + | 0.728640i | ||||
\(187\) | −6.77100 | − | 16.3569i | −0.495144 | − | 1.19614i | ||||
\(188\) | −6.48631 | + | 28.4184i | −0.473063 | + | 2.07262i | ||||
\(189\) | −16.7327 | + | 2.84301i | −1.21713 | + | 0.206798i | ||||
\(190\) | −0.698967 | + | 1.18492i | −0.0507084 | + | 0.0859632i | ||||
\(191\) | −0.833349 | + | 7.39618i | −0.0602990 | + | 0.535169i | 0.926858 | + | 0.375413i | \(0.122499\pi\) |
−0.987157 | + | 0.159756i | \(0.948929\pi\) | |||||||
\(192\) | −3.49317 | + | 2.94972i | −0.252098 | + | 0.212878i | ||||
\(193\) | 0.406251 | − | 2.87761i | 0.0292426 | − | 0.207135i | −0.970129 | − | 0.242591i | \(-0.922003\pi\) |
0.999371 | + | 0.0354562i | \(0.0112884\pi\) | |||||||
\(194\) | 14.8593 | − | 11.1828i | 1.06684 | − | 0.802877i | ||||
\(195\) | 1.58227 | − | 0.874490i | 0.113309 | − | 0.0626235i | ||||
\(196\) | 84.5552 | − | 24.3599i | 6.03966 | − | 1.74000i | ||||
\(197\) | −12.9444 | + | 9.74165i | −0.922249 | + | 0.694064i | −0.952196 | − | 0.305488i | \(-0.901180\pi\) |
0.0299469 | + | 0.999551i | \(0.490466\pi\) | |||||||
\(198\) | 20.3441 | + | 21.5187i | 1.44579 | + | 1.52927i | ||||
\(199\) | 14.9096 | + | 6.67163i | 1.05692 | + | 0.472939i | 0.861487 | − | 0.507779i | \(-0.169533\pi\) |
0.195428 | + | 0.980718i | \(0.437391\pi\) | |||||||
\(200\) | −34.8221 | − | 3.92351i | −2.46229 | − | 0.277434i | ||||
\(201\) | −0.548001 | − | 3.88167i | −0.0386530 | − | 0.273792i | ||||
\(202\) | −32.8213 | + | 23.2880i | −2.30930 | + | 1.63853i | ||||
\(203\) | −0.443651 | + | 0.921252i | −0.0311382 | + | 0.0646592i | ||||
\(204\) | −10.0577 | − | 6.32281i | −0.704181 | − | 0.442685i | ||||
\(205\) | 1.15168 | + | 0.262864i | 0.0804370 | + | 0.0183592i | ||||
\(206\) | −1.86914 | + | 6.48793i | −0.130229 | + | 0.452035i | ||||
\(207\) | 6.07424 | − | 6.42493i | 0.422189 | − | 0.446564i | ||||
\(208\) | −42.3918 | + | 42.3918i | −2.93934 | + | 2.93934i | ||||
\(209\) | 4.60824 | + | 0.916635i | 0.318758 | + | 0.0634050i | ||||
\(210\) | 3.53322 | + | 1.34870i | 0.243815 | + | 0.0930692i | ||||
\(211\) | 13.9303 | + | 11.7631i | 0.959001 | + | 0.809804i | 0.981796 | − | 0.189936i | \(-0.0608280\pi\) |
−0.0227953 | + | 0.999740i | \(0.507257\pi\) | |||||||
\(212\) | −13.3807 | + | 0.751443i | −0.918989 | + | 0.0516093i | ||||
\(213\) | 0.418095 | − | 0.373633i | 0.0286474 | − | 0.0256009i | ||||
\(214\) | −6.12859 | − | 30.8105i | −0.418942 | − | 2.10616i | ||||
\(215\) | 3.15256 | − | 0.181767i | 0.215003 | − | 0.0123964i | ||||
\(216\) | 24.3349 | + | 4.84052i | 1.65578 | + | 0.329356i | ||||
\(217\) | −33.5042 | + | 11.7236i | −2.27441 | + | 0.795851i | ||||
\(218\) | 12.4885 | + | 7.36675i | 0.845825 | + | 0.498939i | ||||
\(219\) | −4.32545 | − | 2.39059i | −0.292287 | − | 0.161541i | ||||
\(220\) | −2.21543 | − | 9.70643i | −0.149364 | − | 0.654407i | ||||
\(221\) | −22.9793 | − | 11.8779i | −1.54576 | − | 0.798993i | ||||
\(222\) | 11.5565i | 0.775621i | ||||||||
\(223\) | 7.87772 | + | 11.1026i | 0.527531 | + | 0.743486i | 0.989677 | − | 0.143318i | \(-0.0457773\pi\) |
−0.462145 | + | 0.886804i | \(0.652920\pi\) | |||||||
\(224\) | −51.3355 | − | 4.33010i | −3.43000 | − | 0.289317i | ||||
\(225\) | 6.70202 | + | 10.6662i | 0.446801 | + | 0.711080i | ||||
\(226\) | −14.6254 | − | 17.3199i | −0.972864 | − | 1.15210i | ||||
\(227\) | −5.97409 | − | 10.1276i | −0.396515 | − | 0.672190i | 0.594775 | − | 0.803892i | \(-0.297241\pi\) |
−0.991289 | + | 0.131703i | \(0.957956\pi\) | |||||||
\(228\) | 2.87806 | − | 1.28785i | 0.190604 | − | 0.0852899i | ||||
\(229\) | 11.9793 | + | 13.4048i | 0.791615 | + | 0.885817i | 0.995652 | − | 0.0931457i | \(-0.0296922\pi\) |
−0.204038 | + | 0.978963i | \(0.565407\pi\) | |||||||
\(230\) | −4.04288 | + | 1.16473i | −0.266579 | + | 0.0768002i | ||||
\(231\) | 0.362256 | − | 12.9113i | 0.0238347 | − | 0.849501i | ||||
\(232\) | 1.08620 | − | 1.02691i | 0.0713125 | − | 0.0674200i | ||||
\(233\) | −0.423423 | − | 1.64148i | −0.0277394 | − | 0.107537i | 0.952940 | − | 0.303159i | \(-0.0980415\pi\) |
−0.980679 | + | 0.195623i | \(0.937327\pi\) | |||||||
\(234\) | 42.9986 | + | 4.84478i | 2.81091 | + | 0.316713i | ||||
\(235\) | −2.90485 | − | 0.245021i | −0.189491 | − | 0.0159834i | ||||
\(236\) | 34.6281 | − | 38.7488i | 2.25410 | − | 2.52233i | ||||
\(237\) | 5.33835 | − | 2.57081i | 0.346763 | − | 0.166992i | ||||
\(238\) | −12.0296 | − | 52.7591i | −0.779761 | − | 3.41987i | ||||
\(239\) | 6.35044 | + | 7.96319i | 0.410776 | + | 0.515096i | 0.943581 | − | 0.331141i | \(-0.107434\pi\) |
−0.532806 | + | 0.846238i | \(0.678862\pi\) | |||||||
\(240\) | −2.05317 | − | 1.83483i | −0.132532 | − | 0.118438i | ||||
\(241\) | 4.14616 | + | 10.8618i | 0.267078 | + | 0.699669i | 0.999816 | + | 0.0191589i | \(0.00609883\pi\) |
−0.732739 | + | 0.680510i | \(0.761758\pi\) | |||||||
\(242\) | −16.4348 | + | 10.3267i | −1.05647 | + | 0.663825i | ||||
\(243\) | −6.27059 | − | 12.1379i | −0.402259 | − | 0.778647i | ||||
\(244\) | 7.79370 | + | 13.2122i | 0.498940 | + | 0.845826i | ||||
\(245\) | 3.59437 | + | 8.03263i | 0.229636 | + | 0.513186i | ||||
\(246\) | −2.55346 | − | 2.85732i | −0.162803 | − | 0.182176i | ||||
\(247\) | 6.00882 | − | 3.32096i | 0.382332 | − | 0.211308i | ||||
\(248\) | 51.8703 | + | 1.45534i | 3.29377 | + | 0.0924142i | ||||
\(249\) | −1.80686 | − | 5.66895i | −0.114505 | − | 0.359255i | ||||
\(250\) | −0.344409 | − | 12.2752i | −0.0217823 | − | 0.776352i | ||||
\(251\) | −19.3300 | − | 19.3300i | −1.22010 | − | 1.22010i | −0.967596 | − | 0.252504i | \(-0.918746\pi\) |
−0.252504 | − | 0.967596i | \(-0.581254\pi\) | |||||||
\(252\) | 35.5316 | + | 53.1768i | 2.23828 | + | 3.34983i | ||||
\(253\) | 8.31513 | + | 11.7191i | 0.522767 | + | 0.736772i | ||||
\(254\) | 6.15586 | + | 7.71921i | 0.386253 | + | 0.484346i | ||||
\(255\) | 0.485516 | − | 1.08437i | 0.0304042 | − | 0.0679061i | ||||
\(256\) | −15.0582 | − | 7.25162i | −0.941135 | − | 0.453226i | ||||
\(257\) | 16.9292 | − | 7.01231i | 1.05601 | − | 0.437416i | 0.213980 | − | 0.976838i | \(-0.431357\pi\) |
0.842035 | + | 0.539422i | \(0.181357\pi\) | |||||||
\(258\) | −8.68164 | − | 5.43697i | −0.540495 | − | 0.338491i | ||||
\(259\) | −26.2985 | + | 26.2985i | −1.63411 | + | 1.63411i | ||||
\(260\) | −11.6238 | − | 8.74783i | −0.720879 | − | 0.542517i | ||||
\(261\) | −0.532067 | − | 0.0751154i | −0.0329341 | − | 0.00464953i | ||||
\(262\) | −16.8489 | + | 19.9531i | −1.04093 | + | 1.23271i | ||||
\(263\) | 20.2767 | + | 3.44516i | 1.25032 | + | 0.212437i | 0.754680 | − | 0.656093i | \(-0.227792\pi\) |
0.495637 | + | 0.868530i | \(0.334935\pi\) | |||||||
\(264\) | −7.22587 | + | 17.4448i | −0.444721 | + | 1.07365i | ||||
\(265\) | −0.261477 | − | 1.31453i | −0.0160624 | − | 0.0807512i | ||||
\(266\) | 13.4178 | + | 5.12183i | 0.822695 | + | 0.314039i | ||||
\(267\) | −3.21995 | + | 2.71900i | −0.197058 | + | 0.166400i | ||||
\(268\) | −26.7104 | + | 16.7833i | −1.63160 | + | 1.02520i | ||||
\(269\) | 0.655452 | − | 7.77072i | 0.0399636 | − | 0.473789i | −0.947911 | − | 0.318535i | \(-0.896809\pi\) |
0.987875 | − | 0.155254i | \(-0.0496195\pi\) | |||||||
\(270\) | −0.237975 | + | 4.23754i | −0.0144827 | + | 0.257888i | ||||
\(271\) | 15.4782 | − | 3.53279i | 0.940232 | − | 0.214602i | 0.275175 | − | 0.961394i | \(-0.411264\pi\) |
0.665057 | + | 0.746793i | \(0.268407\pi\) | |||||||
\(272\) | −5.51634 | + | 39.0113i | −0.334477 | + | 2.36541i | ||||
\(273\) | −11.7674 | − | 14.7558i | −0.712194 | − | 0.893063i | ||||
\(274\) | 16.8151 | − | 2.85701i | 1.01584 | − | 0.172598i | ||||
\(275\) | −19.1263 | + | 7.30088i | −1.15336 | + | 0.440260i | ||||
\(276\) | 9.10179 | + | 3.18485i | 0.547863 | + | 0.191706i | ||||
\(277\) | 11.7344 | + | 22.7142i | 0.705053 | + | 1.36476i | 0.921465 | + | 0.388461i | \(0.126993\pi\) |
−0.216412 | + | 0.976302i | \(0.569435\pi\) | |||||||
\(278\) | 3.07087 | − | 0.978774i | 0.184178 | − | 0.0587029i | ||||
\(279\) | −11.2168 | − | 14.9045i | −0.671529 | − | 0.892306i | ||||
\(280\) | −0.997636 | − | 17.7646i | −0.0596202 | − | 1.06164i | ||||
\(281\) | −1.79882 | − | 3.25471i | −0.107308 | − | 0.194160i | 0.816168 | − | 0.577814i | \(-0.196094\pi\) |
−0.923477 | + | 0.383654i | \(0.874666\pi\) | |||||||
\(282\) | 7.22513 | + | 6.10108i | 0.430250 | + | 0.363314i | ||||
\(283\) | −1.51997 | − | 0.214584i | −0.0903529 | − | 0.0127557i | 0.0944683 | − | 0.995528i | \(-0.469885\pi\) |
−0.184821 | + | 0.982772i | \(0.559171\pi\) | |||||||
\(284\) | −4.11858 | − | 1.84295i | −0.244393 | − | 0.109359i | ||||
\(285\) | 0.167767 | + | 0.266999i | 0.00993765 | + | 0.0158157i | ||||
\(286\) | −21.3553 | + | 67.0014i | −1.26276 | + | 3.96187i | ||||
\(287\) | 0.691485 | − | 12.3130i | 0.0408171 | − | 0.726816i | ||||
\(288\) | −6.02437 | − | 26.3945i | −0.354989 | − | 1.55531i | ||||
\(289\) | −16.7611 | + | 2.84014i | −0.985946 | + | 0.167067i | ||||
\(290\) | 0.199909 | + | 0.159422i | 0.0117391 | + | 0.00936158i | ||||
\(291\) | −0.714031 | − | 4.20249i | −0.0418572 | − | 0.246354i | ||||
\(292\) | −3.34262 | + | 39.6285i | −0.195612 | + | 2.31908i | ||||
\(293\) | 14.4900 | + | 9.10468i | 0.846516 | + | 0.531901i | 0.884049 | − | 0.467394i | \(-0.154807\pi\) |
−0.0375330 | + | 0.999295i | \(0.511950\pi\) | |||||||
\(294\) | 5.56922 | − | 27.9984i | 0.324803 | − | 1.63290i | ||||
\(295\) | 4.32126 | + | 2.88737i | 0.251593 | + | 0.168109i | ||||
\(296\) | 49.6277 | − | 22.2070i | 2.88455 | − | 1.29075i | ||||
\(297\) | 13.9289 | − | 4.01284i | 0.808235 | − | 0.232848i | ||||
\(298\) | −1.99450 | − | 35.5153i | −0.115538 | − | 2.05735i | ||||
\(299\) | 20.3310 | + | 5.24443i | 1.17577 | + | 0.303293i | ||||
\(300\) | −7.63270 | + | 11.4231i | −0.440674 | + | 0.659515i | ||||
\(301\) | −7.38373 | − | 32.1290i | −0.425591 | − | 1.85189i | ||||
\(302\) | −25.1873 | − | 25.1873i | −1.44937 | − | 1.44937i | ||||
\(303\) | 1.28949 | + | 9.13386i | 0.0740790 | + | 0.524726i | ||||
\(304\) | −7.79712 | − | 6.96793i | −0.447195 | − | 0.399638i | ||||
\(305\) | −1.19940 | + | 0.956491i | −0.0686775 | + | 0.0547685i | ||||
\(306\) | 24.4965 | − | 14.4428i | 1.40037 | − | 0.825638i | ||||
\(307\) | 25.8936 | 1.47782 | 0.738912 | − | 0.673802i | \(-0.235340\pi\) | ||||
0.738912 | + | 0.673802i | \(0.235340\pi\) | |||||||
\(308\) | −96.0265 | + | 39.7755i | −5.47162 | + | 2.26642i | ||||
\(309\) | 1.12458 | + | 1.06320i | 0.0639753 | + | 0.0604833i | ||||
\(310\) | 0.993828 | + | 8.82046i | 0.0564456 | + | 0.500969i | ||||
\(311\) | −8.00198 | − | 3.58066i | −0.453751 | − | 0.203040i | 0.168751 | − | 0.985659i | \(-0.446027\pi\) |
−0.622502 | + | 0.782618i | \(0.713884\pi\) | |||||||
\(312\) | 8.37860 | + | 26.2876i | 0.474345 | + | 1.48824i | ||||
\(313\) | −31.5634 | − | 8.14187i | −1.78407 | − | 0.460206i | −0.794871 | − | 0.606779i | \(-0.792461\pi\) |
−0.989200 | + | 0.146573i | \(0.953176\pi\) | |||||||
\(314\) | −6.35541 | + | 37.4053i | −0.358657 | + | 2.11090i | ||||
\(315\) | −4.76917 | + | 4.26199i | −0.268712 | + | 0.240136i | ||||
\(316\) | −36.4290 | − | 30.7615i | −2.04929 | − | 1.73047i | ||||
\(317\) | −25.0557 | + | 23.6881i | −1.40727 | + | 1.33046i | −0.532067 | + | 0.846702i | \(0.678585\pi\) |
−0.875203 | + | 0.483755i | \(0.839272\pi\) | |||||||
\(318\) | −1.77582 | + | 3.96857i | −0.0995831 | + | 0.222546i | ||||
\(319\) | 0.288425 | − | 0.824270i | 0.0161487 | − | 0.0461503i | ||||
\(320\) | −1.11735 | + | 3.50563i | −0.0624615 | + | 0.195971i | ||||
\(321\) | −6.91912 | − | 1.99336i | −0.386188 | − | 0.111259i | ||||
\(322\) | 19.0575 | + | 39.5734i | 1.06203 | + | 2.20534i | ||||
\(323\) | 1.84379 | − | 4.11801i | 0.102591 | − | 0.229132i | ||||
\(324\) | −17.7301 | + | 22.2328i | −0.985006 | + | 1.23516i | ||||
\(325\) | −14.4701 | + | 26.1816i | −0.802654 | + | 1.45229i | ||||
\(326\) | −15.5322 | − | 9.16222i | −0.860250 | − | 0.507448i | ||||
\(327\) | 2.81404 | − | 1.76818i | 0.155617 | − | 0.0977804i | ||||
\(328\) | −7.36362 | + | 16.4561i | −0.406588 | + | 0.908634i | ||||
\(329\) | 2.55795 | + | 30.3258i | 0.141024 | + | 1.67191i | ||||
\(330\) | −3.12754 | − | 0.806757i | −0.172165 | − | 0.0444105i | ||||
\(331\) | 10.2753 | + | 1.74585i | 0.564783 | + | 0.0959604i | 0.442879 | − | 0.896582i | \(-0.353957\pi\) |
0.121904 | + | 0.992542i | \(0.461100\pi\) | |||||||
\(332\) | −35.7008 | + | 31.9042i | −1.95934 | + | 1.75097i | ||||
\(333\) | −17.3644 | − | 8.97069i | −0.951566 | − | 0.491591i | ||||
\(334\) | −21.3664 | − | 22.6000i | −1.16912 | − | 1.23662i | ||||
\(335\) | −2.03540 | − | 2.41040i | −0.111206 | − | 0.131694i | ||||
\(336\) | −15.2940 | + | 24.3403i | −0.834357 | + | 1.32787i | ||||
\(337\) | 6.15515 | − | 4.11274i | 0.335292 | − | 0.224035i | −0.376514 | − | 0.926411i | \(-0.622877\pi\) |
0.711806 | + | 0.702376i | \(0.247877\pi\) | |||||||
\(338\) | 26.3352 | + | 63.5789i | 1.43245 | + | 3.45824i | ||||
\(339\) | −5.06575 | + | 1.15622i | −0.275134 | + | 0.0627974i | ||||
\(340\) | −9.56069 | − | 0.00212952i | −0.518501 | − | 0.000115489i | ||||
\(341\) | 27.3132 | − | 13.1534i | 1.47909 | − | 0.712294i | ||||
\(342\) | −0.423189 | + | 7.53558i | −0.0228835 | + | 0.407478i | ||||
\(343\) | 47.1274 | − | 31.4895i | 2.54464 | − | 1.70028i | ||||
\(344\) | −6.66564 | + | 47.7297i | −0.359387 | + | 2.57341i | ||||
\(345\) | −0.188140 | + | 0.945841i | −0.0101291 | + | 0.0509224i | ||||
\(346\) | −18.3649 | − | 31.1330i | −0.987303 | − | 1.67372i | ||||
\(347\) | 6.81803 | − | 5.13109i | 0.366011 | − | 0.275452i | −0.402327 | − | 0.915496i | \(-0.631798\pi\) |
0.768338 | + | 0.640045i | \(0.221084\pi\) | |||||||
\(348\) | −0.162235 | − | 0.563130i | −0.00869671 | − | 0.0301870i | ||||
\(349\) | −3.43529 | + | 20.2187i | −0.183887 | + | 1.08228i | 0.732137 | + | 0.681157i | \(0.238523\pi\) |
−0.916024 | + | 0.401123i | \(0.868620\pi\) | |||||||
\(350\) | −61.3759 | + | 12.2084i | −3.28068 | + | 0.652568i | ||||
\(351\) | 11.7673 | − | 17.6111i | 0.628094 | − | 0.940010i | ||||
\(352\) | 43.9815 | − | 1.23400i | 2.34422 | − | 0.0657725i | ||||
\(353\) | 22.8605 | − | 2.57576i | 1.21674 | − | 0.137094i | 0.519842 | − | 0.854262i | \(-0.325991\pi\) |
0.696900 | + | 0.717168i | \(0.254562\pi\) | |||||||
\(354\) | −6.01229 | − | 15.7505i | −0.319550 | − | 0.837131i | ||||
\(355\) | 0.124922 | − | 0.433613i | 0.00663015 | − | 0.0230138i | ||||
\(356\) | 30.5548 | + | 14.7144i | 1.61940 | + | 0.779862i | ||||
\(357\) | −12.0096 | − | 3.10077i | −0.635617 | − | 0.164110i | ||||
\(358\) | 40.8051 | + | 19.6507i | 2.15662 | + | 1.03857i | ||||
\(359\) | 5.48616 | − | 9.92646i | 0.289548 | − | 0.523898i | −0.690330 | − | 0.723495i | \(-0.742535\pi\) |
0.979878 | + | 0.199596i | \(0.0639631\pi\) | |||||||
\(360\) | 8.73543 | − | 3.33449i | 0.460398 | − | 0.175743i | ||||
\(361\) | −9.47150 | − | 15.0738i | −0.498500 | − | 0.793358i | ||||
\(362\) | −28.7490 | + | 7.41587i | −1.51101 | + | 0.389769i | ||||
\(363\) | 0.373942 | + | 4.43327i | 0.0196268 | + | 0.232686i | ||||
\(364\) | −69.7077 | + | 134.932i | −3.65368 | + | 7.07238i | ||||
\(365\) | −3.97099 | + | 0.223006i | −0.207851 | + | 0.0116727i | ||||
\(366\) | 4.96862 | − | 0.279032i | 0.259714 | − | 0.0145852i | ||||
\(367\) | 3.04399 | − | 5.89221i | 0.158895 | − | 0.307571i | −0.795587 | − | 0.605839i | \(-0.792838\pi\) |
0.954482 | + | 0.298268i | \(0.0964090\pi\) | |||||||
\(368\) | −2.68794 | − | 31.8669i | −0.140119 | − | 1.66118i | ||||
\(369\) | 6.27543 | − | 1.61877i | 0.326686 | − | 0.0842695i | ||||
\(370\) | 4.94806 | + | 7.87479i | 0.257237 | + | 0.409391i | ||||
\(371\) | −13.0722 | + | 4.98993i | −0.678676 | + | 0.259064i | ||||
\(372\) | 9.84074 | − | 17.8055i | 0.510219 | − | 0.923171i | ||||
\(373\) | 22.3368 | + | 10.7568i | 1.15655 | + | 0.556968i | 0.910996 | − | 0.412414i | \(-0.135314\pi\) |
0.245559 | + | 0.969382i | \(0.421029\pi\) | |||||||
\(374\) | 15.2542 | + | 43.6253i | 0.788778 | + | 2.25581i | ||||
\(375\) | −2.53600 | − | 1.22127i | −0.130959 | − | 0.0630663i | ||||
\(376\) | 12.3164 | − | 42.7511i | 0.635168 | − | 2.20472i | ||||
\(377\) | −0.455060 | − | 1.19213i | −0.0234368 | − | 0.0613978i | ||||
\(378\) | 44.0298 | − | 4.96097i | 2.26465 | − | 0.255165i | ||||
\(379\) | −22.3473 | + | 0.627005i | −1.14790 | + | 0.0322071i | −0.596914 | − | 0.802305i | \(-0.703607\pi\) |
−0.550990 | + | 0.834512i | \(0.685750\pi\) | |||||||
\(380\) | 1.40975 | − | 2.10984i | 0.0723187 | − | 0.108233i | ||||
\(381\) | 2.21959 | − | 0.441505i | 0.113713 | − | 0.0226190i | ||||
\(382\) | 3.25475 | − | 19.1561i | 0.166527 | − | 0.980109i | ||||
\(383\) | −4.48342 | − | 15.5623i | −0.229092 | − | 0.795196i | −0.989348 | − | 0.145572i | \(-0.953498\pi\) |
0.760256 | − | 0.649624i | \(-0.225074\pi\) | |||||||
\(384\) | −0.262289 | + | 0.197393i | −0.0133849 | + | 0.0100732i | ||||
\(385\) | −5.28129 | − | 8.95308i | −0.269159 | − | 0.456291i | ||||
\(386\) | −1.48010 | + | 7.44098i | −0.0753352 | + | 0.378736i | ||||
\(387\) | 14.9085 | − | 8.82434i | 0.757842 | − | 0.448567i | ||||
\(388\) | −28.5212 | + | 19.0572i | −1.44794 | + | 0.967485i | ||||
\(389\) | 1.55431 | − | 27.6771i | 0.0788068 | − | 1.40329i | −0.670916 | − | 0.741533i | \(-0.734099\pi\) |
0.749723 | − | 0.661752i | \(-0.230187\pi\) | |||||||
\(390\) | −4.25217 | + | 2.04774i | −0.215317 | + | 0.103691i | ||||
\(391\) | 12.7495 | − | 5.27771i | 0.644772 | − | 0.266905i | ||||
\(392\) | −130.937 | + | 29.8854i | −6.61330 | + | 1.50944i | ||||
\(393\) | 2.29074 | + | 5.53033i | 0.115553 | + | 0.278968i | ||||
\(394\) | 35.1653 | − | 23.4967i | 1.77160 | − | 1.18375i | ||||
\(395\) | 2.53692 | − | 4.03748i | 0.127646 | − | 0.203148i | ||||
\(396\) | −35.2399 | − | 41.7324i | −1.77087 | − | 2.09713i | ||||
\(397\) | −19.7832 | − | 20.9254i | −0.992893 | − | 1.05022i | −0.998737 | − | 0.0502340i | \(-0.984003\pi\) |
0.00584473 | − | 0.999983i | \(-0.498140\pi\) | |||||||
\(398\) | −37.8852 | − | 19.5719i | −1.89901 | − | 0.981053i | ||||
\(399\) | 2.45464 | − | 2.19360i | 0.122886 | − | 0.109817i | ||||
\(400\) | 44.9190 | + | 7.63205i | 2.24595 | + | 0.381603i | ||||
\(401\) | 35.8688 | + | 9.25245i | 1.79120 | + | 0.462045i | 0.990558 | − | 0.137095i | \(-0.0437765\pi\) |
0.800644 | + | 0.599140i | \(0.204491\pi\) | |||||||
\(402\) | 0.860169 | + | 10.1977i | 0.0429013 | + | 0.508617i | ||||
\(403\) | 18.0928 | − | 40.4334i | 0.901266 | − | 2.01413i | ||||
\(404\) | 62.8516 | − | 39.4923i | 3.12698 | − | 1.96481i | ||||
\(405\) | −2.44951 | − | 1.44493i | −0.121717 | − | 0.0717990i | ||||
\(406\) | 1.29122 | − | 2.33629i | 0.0640823 | − | 0.115948i | ||||
\(407\) | 19.8043 | − | 24.8338i | 0.981662 | − | 1.23096i | ||||
\(408\) | 14.7856 | + | 10.4959i | 0.731998 | + | 0.519626i | ||||
\(409\) | −14.7463 | − | 30.6209i | −0.729155 | − | 1.51411i | −0.853060 | − | 0.521813i | \(-0.825256\pi\) |
0.123905 | − | 0.992294i | \(-0.460458\pi\) | |||||||
\(410\) | −2.96337 | − | 0.853731i | −0.146350 | − | 0.0421628i | ||||
\(411\) | 1.18722 | − | 3.72487i | 0.0585613 | − | 0.183734i | ||||
\(412\) | 4.11316 | − | 11.7547i | 0.202641 | − | 0.579115i | ||||
\(413\) | 22.1608 | − | 49.5246i | 1.09046 | − | 2.43694i | ||||
\(414\) | −16.7729 | + | 15.8574i | −0.824343 | + | 0.779348i | ||||
\(415\) | −3.65846 | − | 3.08929i | −0.179587 | − | 0.151647i | ||||
\(416\) | 47.9381 | − | 42.8401i | 2.35036 | − | 2.10041i | ||||
\(417\) | 0.123749 | − | 0.728334i | 0.00606001 | − | 0.0356667i | ||||
\(418\) | −11.8771 | − | 3.06374i | −0.580930 | − | 0.149852i | ||||
\(419\) | 6.43310 | + | 20.1836i | 0.314278 | + | 0.986035i | 0.972439 | + | 0.233158i | \(0.0749060\pi\) |
−0.658161 | + | 0.752877i | \(0.728665\pi\) | |||||||
\(420\) | −6.36724 | − | 2.84916i | −0.310689 | − | 0.139025i | ||||
\(421\) | 0.588360 | + | 5.22184i | 0.0286749 | + | 0.254497i | 0.999869 | + | 0.0162057i | \(0.00515866\pi\) |
−0.971194 | + | 0.238291i | \(0.923413\pi\) | |||||||
\(422\) | −34.5873 | − | 32.6994i | −1.68368 | − | 1.59178i | ||||
\(423\) | −14.7758 | + | 6.12033i | −0.718423 | + | 0.297580i | ||||
\(424\) | 20.4549 | 0.993376 | ||||||||
\(425\) | 2.74386 | + | 19.4670i | 0.133097 | + | 0.944286i | ||||
\(426\) | −1.14445 | + | 0.912669i | −0.0554488 | + | 0.0442190i | ||||
\(427\) | 11.9418 | + | 10.6719i | 0.577905 | + | 0.516448i | ||||
\(428\) | 8.09985 | + | 57.3739i | 0.391521 | + | 2.77327i | ||||
\(429\) | 11.3977 | + | 11.3977i | 0.550288 | + | 0.550288i | ||||
\(430\) | −8.24372 | + | 0.0123096i | −0.397548 | + | 0.000593623i | ||||
\(431\) | 13.2163 | − | 19.7795i | 0.636605 | − | 0.952747i | −0.363174 | − | 0.931721i | \(-0.618307\pi\) |
0.999779 | − | 0.0210257i | \(-0.00669319\pi\) | |||||||
\(432\) | −31.2381 | − | 8.05794i | −1.50294 | − | 0.387688i | ||||
\(433\) | 1.45051 | + | 25.8287i | 0.0697070 | + | 1.24125i | 0.816955 | + | 0.576702i | \(0.195661\pi\) |
−0.747248 | + | 0.664546i | \(0.768625\pi\) | |||||||
\(434\) | 89.0442 | − | 25.6532i | 4.27426 | − | 1.23139i | ||||
\(435\) | 0.0534967 | − | 0.0239382i | 0.00256497 | − | 0.00114775i | ||||
\(436\) | −22.2366 | − | 14.8581i | −1.06494 | − | 0.711572i | ||||
\(437\) | −0.714478 | + | 3.59193i | −0.0341781 | + | 0.171825i | ||||
\(438\) | 10.9243 | + | 6.86419i | 0.521983 | + | 0.327984i | ||||
\(439\) | −0.417011 | + | 4.94388i | −0.0199029 | + | 0.235958i | 0.979501 | + | 0.201439i | \(0.0645616\pi\) |
−0.999404 | + | 0.0345199i | \(0.989010\pi\) | |||||||
\(440\) | 2.54538 | + | 14.9810i | 0.121346 | + | 0.714192i | ||||
\(441\) | 37.7464 | + | 30.1018i | 1.79745 | + | 1.43342i | ||||
\(442\) | 58.1566 | + | 34.3232i | 2.76623 | + | 1.63259i | ||||
\(443\) | 0.443161 | + | 1.94161i | 0.0210552 | + | 0.0922489i | 0.984364 | − | 0.176147i | \(-0.0563635\pi\) |
−0.963309 | + | 0.268396i | \(0.913506\pi\) | |||||||
\(444\) | 1.19519 | − | 21.2823i | 0.0567210 | − | 1.01001i | ||||
\(445\) | −1.02995 | + | 3.23144i | −0.0488244 | + | 0.153185i | ||||
\(446\) | −18.9080 | − | 30.0919i | −0.895320 | − | 1.42489i | ||||
\(447\) | −7.44230 | − | 3.33022i | −0.352009 | − | 0.157514i | ||||
\(448\) | 38.0347 | + | 5.36960i | 1.79697 | + | 0.253690i | ||||
\(449\) | −9.17901 | − | 7.75098i | −0.433184 | − | 0.365792i | 0.402113 | − | 0.915590i | \(-0.368276\pi\) |
−0.835297 | + | 0.549799i | \(0.814704\pi\) | |||||||
\(450\) | −15.9074 | − | 28.7823i | −0.749884 | − | 1.35681i | ||||
\(451\) | 0.590563 | + | 10.5159i | 0.0278085 | + | 0.495176i | ||||
\(452\) | 25.1426 | + | 33.4086i | 1.18261 | + | 1.57141i | ||||
\(453\) | −7.77907 | + | 2.47941i | −0.365493 | + | 0.116493i | ||||
\(454\) | 14.0890 | + | 27.2718i | 0.661228 | + | 1.27993i | ||||
\(455\) | −14.3364 | − | 5.01652i | −0.672100 | − | 0.235178i | ||||
\(456\) | −4.49603 | + | 1.71623i | −0.210546 | + | 0.0803696i | ||||
\(457\) | 4.06419 | − | 0.690534i | 0.190115 | − | 0.0323018i | −0.0716683 | − | 0.997429i | \(-0.522832\pi\) |
0.261783 | + | 0.965127i | \(0.415689\pi\) | |||||||
\(458\) | −29.2617 | − | 36.6931i | −1.36731 | − | 1.71455i | ||||
\(459\) | −0.777392 | − | 13.8980i | −0.0362856 | − | 0.648705i | ||||
\(460\) | 7.56575 | − | 1.72683i | 0.352755 | − | 0.0805140i | ||||
\(461\) | −0.454516 | + | 8.09341i | −0.0211689 | + | 0.376948i | 0.969892 | + | 0.243536i | \(0.0783075\pi\) |
−0.991061 | + | 0.133411i | \(0.957407\pi\) | |||||||
\(462\) | −2.83414 | + | 33.6001i | −0.131856 | + | 1.56322i | ||||
\(463\) | −12.7426 | + | 8.00668i | −0.592197 | + | 0.372102i | −0.794539 | − | 0.607213i | \(-0.792287\pi\) |
0.202342 | + | 0.979315i | \(0.435145\pi\) | |||||||
\(464\) | −1.48494 | + | 1.25392i | −0.0689366 | + | 0.0582118i | ||||
\(465\) | 1.90079 | + | 0.725568i | 0.0881469 | + | 0.0336474i | ||||
\(466\) | 0.863372 | + | 4.34046i | 0.0399949 | + | 0.201068i | ||||
\(467\) | 6.08207 | − | 14.6834i | 0.281445 | − | 0.679468i | −0.718425 | − | 0.695604i | \(-0.755137\pi\) |
0.999870 | + | 0.0161366i | \(0.00513665\pi\) | |||||||
\(468\) | −78.6844 | − | 13.3690i | −3.63719 | − | 0.617983i | ||||
\(469\) | −21.2490 | + | 25.1639i | −0.981189 | + | 1.16196i | ||||
\(470\) | 7.53558 | + | 1.06385i | 0.347590 | + | 0.0490716i | ||||
\(471\) | 6.94873 | + | 5.22945i | 0.320180 | + | 0.240961i | ||||
\(472\) | −56.0851 | + | 56.0851i | −2.58153 | + | 2.58153i | ||||
\(473\) | 9.33870 | + | 26.5612i | 0.429394 | + | 1.22128i | ||||
\(474\) | −14.2906 | + | 5.91938i | −0.656391 | + | 0.271886i | ||||
\(475\) | −4.70104 | − | 2.26390i | −0.215698 | − | 0.103875i | ||||
\(476\) | 16.6970 | + | 98.4044i | 0.765307 | + | 4.51036i | ||||
\(477\) | −4.58458 | − | 5.74888i | −0.209914 | − | 0.263223i | ||||
\(478\) | −15.3867 | − | 21.6855i | −0.703771 | − | 0.991873i | ||||
\(479\) | −0.0716964 | − | 0.107301i | −0.00327589 | − | 0.00490272i | 0.829828 | − | 0.558019i | \(-0.188438\pi\) |
−0.833104 | + | 0.553116i | \(0.813438\pi\) | |||||||
\(480\) | 2.08801 | + | 2.08801i | 0.0953043 | + | 0.0953043i | ||||
\(481\) | −1.30171 | − | 46.3947i | −0.0593529 | − | 2.11542i | ||||
\(482\) | −9.21699 | − | 28.9180i | −0.419823 | − | 1.31718i | ||||
\(483\) | 10.0638 | + | 0.282363i | 0.457919 | + | 0.0128480i | ||||
\(484\) | 31.3341 | − | 17.3178i | 1.42428 | − | 0.787170i | ||||
\(485\) | −2.28590 | − | 2.55792i | −0.103797 | − | 0.116149i | ||||
\(486\) | 14.5675 | + | 32.5552i | 0.660795 | + | 1.47673i | ||||
\(487\) | −20.2842 | − | 34.3868i | −0.919166 | − | 1.55821i | −0.826806 | − | 0.562487i | \(-0.809845\pi\) |
−0.0923604 | − | 0.995726i | \(-0.529441\pi\) | |||||||
\(488\) | −10.7460 | − | 20.8008i | −0.486447 | − | 0.941609i | ||||
\(489\) | −3.49989 | + | 2.19913i | −0.158271 | + | 0.0994480i | ||||
\(490\) | −8.19289 | − | 21.4631i | −0.370117 | − | 0.969603i | ||||
\(491\) | 2.18205 | + | 1.95000i | 0.0984744 | + | 0.0880021i | 0.714129 | − | 0.700014i | \(-0.246823\pi\) |
−0.615655 | + | 0.788016i | \(0.711109\pi\) | |||||||
\(492\) | 4.40690 | + | 5.52607i | 0.198678 | + | 0.249135i | ||||
\(493\) | −0.709962 | − | 0.446319i | −0.0319751 | − | 0.0201012i | ||||
\(494\) | −16.1480 | + | 7.77648i | −0.726534 | + | 0.349880i | ||||
\(495\) | 3.63995 | − | 4.07310i | 0.163604 | − | 0.183072i | ||||
\(496\) | −67.2306 | − | 5.67083i | −3.01874 | − | 0.254628i | ||||
\(497\) | −4.68129 | − | 0.527454i | −0.209984 | − | 0.0236596i | ||||
\(498\) | 3.87975 | + | 15.0405i | 0.173856 | + | 0.673983i | ||||
\(499\) | 2.35269 | − | 2.22427i | 0.105321 | − | 0.0995720i | −0.632530 | − | 0.774536i | \(-0.717984\pi\) |
0.737851 | + | 0.674964i | \(0.235841\pi\) | |||||||
\(500\) | −0.635257 | + | 22.6414i | −0.0284096 | + | 1.01256i | ||||
\(501\) | −6.85020 | + | 1.97351i | −0.306044 | + | 0.0881698i | ||||
\(502\) | 47.5540 | + | 53.2129i | 2.12244 | + | 2.37501i | ||||
\(503\) | −11.2767 | + | 5.04598i | −0.502802 | + | 0.224989i | −0.644048 | − | 0.764985i | \(-0.722746\pi\) |
0.141246 | + | 0.989975i | \(0.454889\pi\) | |||||||
\(504\) | −49.5951 | − | 84.0759i | −2.20914 | − | 3.74504i | ||||
\(505\) | 4.78945 | + | 5.67185i | 0.213128 | + | 0.252394i | ||||
\(506\) | −19.9579 | − | 31.7628i | −0.887235 | − | 1.41203i | ||||
\(507\) | 15.7180 | + | 1.32580i | 0.698062 | + | 0.0588808i | ||||
\(508\) | −10.5382 | − | 14.8522i | −0.467557 | − | 0.658960i | ||||
\(509\) | − | 23.8431i | − | 1.05683i | −0.848987 | − | 0.528414i | \(-0.822787\pi\) | ||
0.848987 | − | 0.528414i | \(-0.177213\pi\) | |||||||
\(510\) | −1.42422 | + | 2.75533i | −0.0630654 | + | 0.122008i | ||||
\(511\) | 9.23938 | + | 40.4804i | 0.408726 | + | 1.79075i | ||||
\(512\) | 37.2271 | + | 20.5747i | 1.64522 | + | 0.909282i | ||||
\(513\) | 3.18205 | + | 1.87704i | 0.140491 | + | 0.0828735i | ||||
\(514\) | −45.1522 | + | 15.7994i | −1.99158 | + | 0.696883i | ||||
\(515\) | 1.22153 | + | 0.242978i | 0.0538271 | + | 0.0107069i | ||||
\(516\) | 15.4257 | + | 10.9105i | 0.679077 | + | 0.480308i | ||||
\(517\) | −5.07073 | − | 25.4923i | −0.223010 | − | 1.12115i | ||||
\(518\) | 72.3963 | − | 64.6973i | 3.18091 | − | 2.84264i | ||||
\(519\) | −8.27212 | + | 0.464552i | −0.363106 | + | 0.0203916i | ||||
\(520\) | 16.9647 | + | 14.3254i | 0.743950 | + | 0.628210i | ||||
\(521\) | 21.5823 | + | 8.23840i | 0.945538 | + | 0.360931i | 0.780358 | − | 0.625333i | \(-0.215037\pi\) |
0.165180 | + | 0.986263i | \(0.447180\pi\) | |||||||
\(522\) | 1.37583 | + | 0.273670i | 0.0602185 | + | 0.0119782i | ||||
\(523\) | 22.3541 | − | 22.3541i | 0.977475 | − | 0.977475i | −0.0222764 | − | 0.999752i | \(-0.507091\pi\) |
0.999752 | + | 0.0222764i | \(0.00709139\pi\) | |||||||
\(524\) | 33.0922 | − | 35.0028i | 1.44564 | − | 1.52910i | ||||
\(525\) | −3.97087 | + | 13.7832i | −0.173303 | + | 0.601548i | ||||
\(526\) | −52.3468 | − | 11.9478i | −2.28243 | − | 0.520949i | ||||
\(527\) | −6.47161 | − | 28.3831i | −0.281908 | − | 1.23639i | ||||
\(528\) | 10.6522 | − | 22.1196i | 0.463578 | − | 0.962630i | ||||
\(529\) | 9.62338 | − | 6.82815i | 0.418408 | − | 0.296876i | ||||
\(530\) | 0.489119 | + | 3.46459i | 0.0212460 | + | 0.150492i | ||||
\(531\) | 28.3333 | + | 3.19239i | 1.22956 | + | 0.138538i | ||||
\(532\) | −24.1802 | − | 10.8199i | −1.04834 | − | 0.469104i | ||||
\(533\) | 10.5730 | + | 11.1834i | 0.457966 | + | 0.484406i | ||||
\(534\) | 8.79076 | − | 6.61572i | 0.380413 | − | 0.286290i | ||||
\(535\) | −5.56829 | + | 1.60420i | −0.240738 | + | 0.0693555i | ||||
\(536\) | 42.1398 | − | 23.2898i | 1.82016 | − | 1.00597i | ||||
\(537\) | 8.29463 | − | 6.24235i | 0.357940 | − | 0.269377i | ||||
\(538\) | −2.84588 | + | 20.1583i | −0.122695 | + | 0.869087i | ||||
\(539\) | −59.9483 | + | 50.6218i | −2.58215 | + | 2.18044i | ||||
\(540\) | 0.876501 | − | 7.77917i | 0.0377186 | − | 0.334762i | ||||
\(541\) | −12.0795 | + | 20.4778i | −0.519340 | + | 0.880409i | 0.480654 | + | 0.876911i | \(0.340399\pi\) |
−0.999994 | + | 0.00349890i | \(0.998886\pi\) | |||||||
\(542\) | −40.8608 | + | 6.94252i | −1.75512 | + | 0.298207i | ||||
\(543\) | −1.51433 | + | 6.63473i | −0.0649863 | + | 0.284723i | ||||
\(544\) | 8.25210 | − | 41.4379i | 0.353806 | − | 1.77663i | ||||
\(545\) | 1.16047 | − | 2.40973i | 0.0497089 | − | 0.103222i | ||||
\(546\) | 28.5116 | + | 40.1834i | 1.22018 | + | 1.71969i | ||||
\(547\) | 4.12673 | + | 29.2310i | 0.176446 | + | 1.24983i | 0.856300 | + | 0.516479i | \(0.172758\pi\) |
−0.679854 | + | 0.733348i | \(0.737957\pi\) | |||||||
\(548\) | −31.2619 | + | 3.52238i | −1.33544 | + | 0.150468i | ||||
\(549\) | −3.43761 | + | 7.68230i | −0.146714 | + | 0.327873i | ||||
\(550\) | 50.9210 | − | 16.2300i | 2.17128 | − | 0.692049i | ||||
\(551\) | 0.203159 | − | 0.0909077i | 0.00865485 | − | 0.00387280i | ||||
\(552\) | −13.5975 | − | 5.63226i | −0.578747 | − | 0.239725i | ||||
\(553\) | −45.9910 | − | 19.0501i | −1.95573 | − | 0.810092i | ||||
\(554\) | −27.2608 | − | 60.9219i | −1.15820 | − | 2.58832i | ||||
\(555\) | 2.12421 | − | 0.179175i | 0.0901678 | − | 0.00760556i | ||||
\(556\) | −5.75648 | + | 1.48490i | −0.244129 | + | 0.0629738i | ||||
\(557\) | −3.15849 | − | 9.02646i | −0.133830 | − | 0.382463i | 0.857394 | − | 0.514661i | \(-0.172082\pi\) |
−0.991223 | + | 0.132198i | \(0.957797\pi\) | |||||||
\(558\) | 27.0547 | + | 40.4901i | 1.14531 | + | 1.71408i | ||||
\(559\) | 35.4657 | + | 20.8494i | 1.50004 | + | 0.881834i | ||||
\(560\) | 23.1342i | 0.977599i | ||||||||
\(561\) | 10.4888 | + | 1.48316i | 0.442839 | + | 0.0626190i | ||||
\(562\) | 4.21218 | + | 8.74668i | 0.177680 | + | 0.368956i | ||||
\(563\) | 6.59042 | − | 11.9245i | 0.277753 | − | 0.502557i | −0.699500 | − | 0.714633i | \(-0.746594\pi\) |
0.977253 | + | 0.212076i | \(0.0680225\pi\) | |||||||
\(564\) | −12.6747 | − | 11.9829i | −0.533701 | − | 0.504570i | ||||
\(565\) | −2.95683 | + | 2.95683i | −0.124395 | + | 0.124395i | ||||
\(566\) | 3.93038 | + | 0.781800i | 0.165206 | + | 0.0328615i | ||||
\(567\) | −10.5880 | + | 27.7376i | −0.444655 | + | 1.16487i | ||||
\(568\) | 6.11850 | + | 3.16089i | 0.256727 | + | 0.132628i | ||||
\(569\) | −24.9911 | + | 35.2216i | −1.04768 | + | 1.47657i | −0.177320 | + | 0.984153i | \(0.556743\pi\) |
−0.870361 | + | 0.492415i | \(0.836114\pi\) | |||||||
\(570\) | −0.398200 | − | 0.720488i | −0.0166787 | − | 0.0301779i | ||||
\(571\) | 7.37524 | − | 28.5915i | 0.308644 | − | 1.19652i | −0.607058 | − | 0.794658i | \(-0.707650\pi\) |
0.915702 | − | 0.401858i | \(-0.131635\pi\) | |||||||
\(572\) | 46.2568 | − | 121.180i | 1.93410 | − | 5.06679i | ||||
\(573\) | −3.55860 | − | 2.67812i | −0.148662 | − | 0.111880i | ||||
\(574\) | −3.60470 | + | 31.9926i | −0.150457 | + | 1.33534i | ||||
\(575\) | −5.69073 | − | 14.9081i | −0.237320 | − | 0.621711i | ||||
\(576\) | 3.38127 | + | 19.9007i | 0.140886 | + | 0.829196i | ||||
\(577\) | 4.19285 | − | 2.01917i | 0.174551 | − | 0.0840591i | −0.344568 | − | 0.938761i | \(-0.611975\pi\) |
0.519119 | + | 0.854702i | \(0.326260\pi\) | |||||||
\(578\) | 44.1033 | − | 4.94935i | 1.83445 | − | 0.205866i | ||||
\(579\) | 1.35959 | + | 1.08424i | 0.0565028 | + | 0.0450595i | ||||
\(580\) | −0.351661 | − | 0.314264i | −0.0146019 | − | 0.0130491i | ||||
\(581\) | −25.3981 | + | 43.0560i | −1.05369 | + | 1.78626i | ||||
\(582\) | 1.24596 | + | 11.0582i | 0.0516469 | + | 0.458379i | ||||
\(583\) | 10.6170 | − | 5.48486i | 0.439710 | − | 0.227160i | ||||
\(584\) | 8.48513 | − | 60.1030i | 0.351117 | − | 2.48708i | ||||
\(585\) | 0.223862 | − | 7.97873i | 0.00925554 | − | 0.329880i | ||||
\(586\) | −36.4353 | − | 25.8522i | −1.50513 | − | 1.06795i | ||||
\(587\) | 12.2105 | + | 42.3835i | 0.503980 | + | 1.74935i | 0.649862 | + | 0.760052i | \(0.274827\pi\) |
−0.145882 | + | 0.989302i | \(0.546602\pi\) | |||||||
\(588\) | −13.1518 | + | 50.9853i | −0.542371 | + | 2.10260i | ||||
\(589\) | 7.21842 | + | 2.75542i | 0.297430 | + | 0.113535i | ||||
\(590\) | −10.8407 | − | 8.15844i | −0.446303 | − | 0.335877i | ||||
\(591\) | −1.08540 | − | 9.63316i | −0.0446473 | − | 0.396255i | ||||
\(592\) | −66.0443 | + | 25.2104i | −2.71440 | + | 1.03614i | ||||
\(593\) | −18.0325 | − | 5.19506i | −0.740504 | − | 0.213336i | −0.114792 | − | 0.993390i | \(-0.536620\pi\) |
−0.625712 | + | 0.780054i | \(0.715192\pi\) | |||||||
\(594\) | −36.8928 | + | 8.42054i | −1.51373 | + | 0.345499i | ||||
\(595\) | −9.51120 | + | 3.02916i | −0.389921 | + | 0.124183i | ||||
\(596\) | 65.6107i | 2.68752i | ||||||||
\(597\) | −7.97140 | + | 5.65601i | −0.326248 | + | 0.231485i | ||||
\(598\) | −52.2247 | − | 16.6455i | −2.13563 | − | 0.680686i | ||||
\(599\) | 4.47527 | − | 12.7896i | 0.182855 | − | 0.522568i | −0.815571 | − | 0.578657i | \(-0.803577\pi\) |
0.998426 | + | 0.0560884i | \(0.0178629\pi\) | |||||||
\(600\) | 12.6089 | − | 16.7543i | 0.514756 | − | 0.683991i | ||||
\(601\) | −23.8279 | − | 15.9213i | −0.971962 | − | 0.649444i | −0.0351887 | − | 0.999381i | \(-0.511203\pi\) |
−0.936773 | + | 0.349936i | \(0.886203\pi\) | |||||||
\(602\) | 14.5426 | + | 84.8247i | 0.592714 | + | 3.45720i | ||||
\(603\) | −15.9905 | − | 6.62349i | −0.651184 | − | 0.269729i | ||||
\(604\) | 43.7797 | + | 48.9895i | 1.78137 | + | 1.99335i | ||||
\(605\) | 2.15297 | + | 2.86080i | 0.0875307 | + | 0.116308i | ||||
\(606\) | −2.02404 | − | 23.9960i | −0.0822210 | − | 0.974772i | ||||
\(607\) | −34.5602 | + | 0.969667i | −1.40276 | + | 0.0393576i | −0.721362 | − | 0.692558i | \(-0.756483\pi\) |
−0.681395 | + | 0.731916i | \(0.738626\pi\) | |||||||
\(608\) | 7.92943 | + | 7.92943i | 0.321581 | + | 0.321581i | ||||
\(609\) | −0.339928 | − | 0.508738i | −0.0137746 | − | 0.0206151i | ||||
\(610\) | 3.26623 | − | 2.31752i | 0.132246 | − | 0.0938334i | ||||
\(611\) | −29.6932 | − | 23.6796i | −1.20126 | − | 0.957972i | ||||
\(612\) | −46.6060 | + | 24.0641i | −1.88394 | + | 0.972734i | ||||
\(613\) | −1.16410 | + | 1.45973i | −0.0470175 | + | 0.0589581i | −0.804784 | − | 0.593567i | \(-0.797719\pi\) |
0.757767 | + | 0.652526i | \(0.226290\pi\) | |||||||
\(614\) | −67.4912 | − | 3.79023i | −2.72372 | − | 0.152961i | ||||
\(615\) | −0.485617 | + | 0.513654i | −0.0195820 | + | 0.0207125i | ||||
\(616\) | 149.737 | − | 52.3952i | 6.03307 | − | 2.11106i | ||||
\(617\) | −13.6297 | + | 7.04127i | −0.548711 | + | 0.283471i | −0.710905 | − | 0.703288i | \(-0.751714\pi\) |
0.162194 | + | 0.986759i | \(0.448143\pi\) | |||||||
\(618\) | −2.77558 | − | 2.93583i | −0.111650 | − | 0.118096i | ||||
\(619\) | 41.7601 | + | 1.17168i | 1.67848 | + | 0.0470936i | 0.854476 | − | 0.519490i | \(-0.173878\pi\) |
0.824004 | + | 0.566584i | \(0.191735\pi\) | |||||||
\(620\) | −0.917994 | − | 16.3464i | −0.0368675 | − | 0.656487i | ||||
\(621\) | 3.12784 | + | 10.8570i | 0.125516 | + | 0.435675i | ||||
\(622\) | 20.3329 | + | 10.5042i | 0.815276 | + | 0.421182i | ||||
\(623\) | 35.0598 | + | 4.94962i | 1.40464 | + | 0.198302i | ||||
\(624\) | −8.96041 | − | 34.7366i | −0.358703 | − | 1.39058i | ||||
\(625\) | 21.4396 | − | 2.41566i | 0.857585 | − | 0.0966266i | ||||
\(626\) | 81.0779 | + | 25.8418i | 3.24052 | + | 1.03285i | ||||
\(627\) | −1.87344 | + | 2.09638i | −0.0748181 | + | 0.0837215i | ||||
\(628\) | 15.5725 | − | 68.2276i | 0.621411 | − | 2.72258i | ||||
\(629\) | −19.0125 | − | 23.8519i | −0.758079 | − | 0.951036i | ||||
\(630\) | 13.0546 | − | 10.4107i | 0.520109 | − | 0.414773i | ||||
\(631\) | 3.87381 | + | 0.217549i | 0.154214 | + | 0.00866048i | 0.133010 | − | 0.991115i | \(-0.457536\pi\) |
0.0212041 | + | 0.999775i | \(0.493250\pi\) | |||||||
\(632\) | 52.8808 | + | 49.9944i | 2.10348 | + | 1.98867i | ||||
\(633\) | −10.2978 | + | 3.60335i | −0.409300 | + | 0.143220i | ||||
\(634\) | 68.7749 | − | 58.0752i | 2.73140 | − | 2.30646i | ||||
\(635\) | 1.32343 | − | 1.25120i | 0.0525188 | − | 0.0496522i | ||||
\(636\) | 3.68076 | − | 7.12480i | 0.145951 | − | 0.282517i | ||||
\(637\) | −19.2045 | + | 113.029i | −0.760909 | + | 4.47839i | ||||
\(638\) | −0.872430 | + | 2.10623i | −0.0345398 | + | 0.0833865i | ||||
\(639\) | −0.482974 | − | 2.42807i | −0.0191062 | − | 0.0960531i | ||||
\(640\) | −0.0942121 | + | 0.246809i | −0.00372406 | + | 0.00975600i | ||||
\(641\) | 13.0286 | − | 6.73076i | 0.514600 | − | 0.265849i | −0.182012 | − | 0.983296i | \(-0.558261\pi\) |
0.696613 | + | 0.717447i | \(0.254690\pi\) | |||||||
\(642\) | 17.7428 | + | 6.20848i | 0.700253 | + | 0.245029i | ||||
\(643\) | −10.6264 | + | 1.50020i | −0.419066 | + | 0.0591622i | −0.346157 | − | 0.938176i | \(-0.612514\pi\) |
−0.0729082 | + | 0.997339i | \(0.523228\pi\) | |||||||
\(644\) | −31.0033 | − | 74.8486i | −1.22170 | − | 2.94945i | ||||
\(645\) | −0.864773 | + | 1.68008i | −0.0340504 | + | 0.0661530i | ||||
\(646\) | −5.40860 | + | 10.4637i | −0.212799 | + | 0.411687i | ||||
\(647\) | −0.253236 | + | 0.525849i | −0.00995572 | + | 0.0206733i | −0.905887 | − | 0.423519i | \(-0.860795\pi\) |
0.895932 | + | 0.444192i | \(0.146509\pi\) | |||||||
\(648\) | 28.9212 | − | 32.3628i | 1.13613 | − | 1.27133i | ||||
\(649\) | −14.0717 | + | 44.1495i | −0.552364 | + | 1.73302i | ||||
\(650\) | 41.5484 | − | 66.1239i | 1.62966 | − | 2.59359i | ||||
\(651\) | 4.14377 | − | 20.8321i | 0.162407 | − | 0.816476i | ||||
\(652\) | 27.6563 | + | 18.4793i | 1.08310 | + | 0.723707i | ||||
\(653\) | −9.55481 | − | 21.3529i | −0.373908 | − | 0.835603i | −0.998505 | − | 0.0546559i | \(-0.982594\pi\) |
0.624597 | − | 0.780947i | \(-0.285263\pi\) | |||||||
\(654\) | −7.59357 | + | 4.19682i | −0.296932 | + | 0.164109i | ||||
\(655\) | 3.92883 | + | 2.78765i | 0.153512 | + | 0.108923i | ||||
\(656\) | 10.7590 | − | 20.8260i | 0.420067 | − | 0.813118i | ||||
\(657\) | −18.7939 | + | 11.0862i | −0.733218 | + | 0.432514i | ||||
\(658\) | −2.22826 | − | 79.4182i | −0.0868666 | − | 3.09604i | ||||
\(659\) | −1.62515 | − | 4.64440i | −0.0633067 | − | 0.180920i | 0.907885 | − | 0.419219i | \(-0.137696\pi\) |
−0.971192 | + | 0.238299i | \(0.923410\pi\) | |||||||
\(660\) | 5.67619 | + | 1.80916i | 0.220945 | + | 0.0704216i | ||||
\(661\) | −5.19869 | − | 30.5973i | −0.202205 | − | 1.19010i | −0.887143 | − | 0.461494i | \(-0.847313\pi\) |
0.684938 | − | 0.728602i | \(-0.259829\pi\) | |||||||
\(662\) | −26.5269 | − | 6.05460i | −1.03100 | − | 0.235319i | ||||
\(663\) | 13.1081 | − | 8.23227i | 0.509075 | − | 0.319715i | ||||
\(664\) | 57.1341 | − | 45.5629i | 2.21723 | − | 1.76818i | ||||
\(665\) | 0.733415 | − | 2.54574i | 0.0284406 | − | 0.0987196i | ||||
\(666\) | 43.9471 | + | 25.9237i | 1.70292 | + | 1.00452i | ||||
\(667\) | 0.642484 | + | 0.224815i | 0.0248771 | + | 0.00870487i | ||||
\(668\) | 37.0107 | + | 43.8295i | 1.43199 | + | 1.69581i | ||||
\(669\) | −8.11725 | + | 0.684682i | −0.313831 | + | 0.0264713i | ||||
\(670\) | 4.95242 | + | 6.58062i | 0.191329 | + | 0.254231i | ||||
\(671\) | −11.1553 | − | 7.91508i | −0.430644 | − | 0.305558i | ||||
\(672\) | 17.8389 | − | 25.1416i | 0.688152 | − | 0.969859i | ||||
\(673\) | 21.1796 | − | 25.0817i | 0.816413 | − | 0.966828i | −0.183455 | − | 0.983028i | \(-0.558728\pi\) |
0.999869 | + | 0.0162001i | \(0.00515688\pi\) | |||||||
\(674\) | −16.6453 | + | 9.81883i | −0.641154 | + | 0.378207i | ||||
\(675\) | −16.0910 | + | 0.451469i | −0.619342 | + | 0.0173770i | ||||
\(676\) | −41.9231 | − | 119.809i | −1.61243 | − | 4.60805i | ||||
\(677\) | −4.23223 | − | 0.356984i | −0.162658 | − | 0.0137200i | 0.00244118 | − | 0.999997i | \(-0.499223\pi\) |
−0.165099 | + | 0.986277i | \(0.552794\pi\) | |||||||
\(678\) | 13.3730 | − | 2.27217i | 0.513589 | − | 0.0872622i | ||||
\(679\) | −22.3293 | + | 28.0001i | −0.856921 | + | 1.07454i | ||||
\(680\) | 14.5692 | + | 0.821441i | 0.558702 | + | 0.0315008i | ||||
\(681\) | 7.03596 | 0.269619 | ||||||||
\(682\) | −73.1169 | + | 30.2860i | −2.79979 | + | 1.15971i | ||||
\(683\) | 33.7751 | − | 35.7250i | 1.29237 | − | 1.36698i | 0.399452 | − | 0.916754i | \(-0.369200\pi\) |
0.892914 | − | 0.450226i | \(-0.148657\pi\) | |||||||
\(684\) | 1.55868 | − | 13.8336i | 0.0595975 | − | 0.528942i | ||||
\(685\) | −0.785856 | − | 3.04651i | −0.0300260 | − | 0.116401i | ||||
\(686\) | −127.446 | + | 75.1787i | −4.86593 | + | 2.87034i | ||||
\(687\) | −10.5508 | + | 2.09868i | −0.402538 | + | 0.0800697i | ||||
\(688\) | 12.1328 | − | 61.4755i | 0.462560 | − | 2.34373i | ||||
\(689\) | 6.68220 | − | 16.1323i | 0.254571 | − | 0.614590i | ||||
\(690\) | 0.628833 | − | 2.43778i | 0.0239393 | − | 0.0928049i | ||||
\(691\) | 0.784184 | − | 5.55464i | 0.0298318 | − | 0.211308i | −0.969612 | − | 0.244646i | \(-0.921328\pi\) |
0.999444 | + | 0.0333381i | \(0.0106138\pi\) | |||||||
\(692\) | 30.6007 | + | 59.2334i | 1.16326 | + | 2.25172i | ||||
\(693\) | −48.2865 | − | 30.3404i | −1.83425 | − | 1.15254i | ||||
\(694\) | −18.5222 | + | 12.3761i | −0.703092 | + | 0.469791i | ||||
\(695\) | −0.227521 | − | 0.549284i | −0.00863036 | − | 0.0208355i | ||||
\(696\) | 0.199034 | + | 0.872027i | 0.00754438 | + | 0.0330541i | ||||
\(697\) | 9.97098 | + | 1.69642i | 0.377678 | + | 0.0642566i | ||||
\(698\) | 11.9136 | − | 52.1969i | 0.450936 | − | 1.97568i | ||||
\(699\) | 0.974739 | + | 0.280817i | 0.0368680 | + | 0.0106215i | ||||
\(700\) | 114.291 | − | 16.1353i | 4.31981 | − | 0.609856i | ||||
\(701\) | 34.6713 | + | 21.7854i | 1.30952 | + | 0.822823i | 0.992098 | − | 0.125462i | \(-0.0400415\pi\) |
0.317418 | + | 0.948286i | \(0.397184\pi\) | |||||||
\(702\) | −33.2493 | + | 44.1806i | −1.25491 | + | 1.66749i | ||||
\(703\) | 8.06690 | − | 0.680435i | 0.304249 | − | 0.0256631i | ||||
\(704\) | −32.7927 | − | 0.920074i | −1.23592 | − | 0.0346766i | ||||
\(705\) | 1.00942 | − | 1.42265i | 0.0380171 | − | 0.0535802i | ||||
\(706\) | −59.9627 | + | 3.36743i | −2.25672 | + | 0.126735i | ||||
\(707\) | 50.0006 | − | 59.2126i | 1.88046 | − | 2.22692i | ||||
\(708\) | 9.44320 | + | 29.6277i | 0.354897 | + | 1.11348i | ||||
\(709\) | −8.85315 | + | 2.28369i | −0.332487 | + | 0.0857659i | −0.412311 | − | 0.911043i | \(-0.635278\pi\) |
0.0798242 | + | 0.996809i | \(0.474564\pi\) | |||||||
\(710\) | −0.389078 | + | 1.11192i | −0.0146018 | + | 0.0417296i | ||||
\(711\) | 2.19877 | − | 26.0676i | 0.0824605 | − | 0.977611i | ||||
\(712\) | −45.3026 | − | 25.0378i | −1.69779 | − | 0.938333i | ||||
\(713\) | 10.2525 | + | 21.2895i | 0.383959 | + | 0.797298i | ||||
\(714\) | 30.8491 | + | 9.84005i | 1.15450 | + | 0.368255i | ||||
\(715\) | 12.6467 | + | 2.88652i | 0.472959 | + | 0.107950i | ||||
\(716\) | −73.1137 | − | 40.4085i | −2.73239 | − | 1.51014i | ||||
\(717\) | −6.03487 | + | 0.851983i | −0.225376 | + | 0.0318179i | ||||
\(718\) | −15.7526 | + | 25.0701i | −0.587882 | + | 0.935609i | ||||
\(719\) | 6.12023 | − | 8.13236i | 0.228246 | − | 0.303286i | −0.670365 | − | 0.742031i | \(-0.733863\pi\) |
0.898611 | + | 0.438745i | \(0.144577\pi\) | |||||||
\(720\) | −11.5832 | + | 3.69190i | −0.431680 | + | 0.137589i | ||||
\(721\) | 0.364666 | − | 12.9972i | 0.0135809 | − | 0.484040i | ||||
\(722\) | 22.4809 | + | 40.6761i | 0.836652 | + | 1.51381i | ||||
\(723\) | −6.85864 | − | 1.16533i | −0.255076 | − | 0.0433391i | ||||
\(724\) | 53.7105 | − | 10.6837i | 1.99614 | − | 0.397056i | ||||
\(725\) | −0.538783 | + | 0.806345i | −0.0200099 | + | 0.0299469i | ||||
\(726\) | −0.325745 | − | 11.6100i | −0.0120895 | − | 0.430887i | ||||
\(727\) | 13.6185 | + | 1.53444i | 0.505083 | + | 0.0569092i | 0.360830 | − | 0.932632i | \(-0.382494\pi\) |
0.144253 | + | 0.989541i | \(0.453922\pi\) | |||||||
\(728\) | 117.774 | − | 199.655i | 4.36498 | − | 7.39971i | ||||
\(729\) | −9.52684 | − | 0.535016i | −0.352846 | − | 0.0198154i | ||||
\(730\) | 10.3830 | 0.384292 | ||||||||
\(731\) | 26.8631 | − | 3.06132i | 0.993569 | − | 0.113227i | ||||
\(732\) | −9.17899 | −0.339265 | ||||||||
\(733\) | 22.9532 | + | 1.28903i | 0.847798 | + | 0.0476113i | 0.474665 | − | 0.880167i | \(-0.342569\pi\) |
0.373133 | + | 0.927778i | \(0.378284\pi\) | |||||||
\(734\) | −8.79659 | + | 14.9124i | −0.324688 | + | 0.550426i | ||||
\(735\) | −5.23275 | − | 0.589590i | −0.193013 | − | 0.0217473i | ||||
\(736\) | 0.961851 | + | 34.2817i | 0.0354543 | + | 1.26364i | ||||
\(737\) | 15.6274 | − | 23.3880i | 0.575641 | − | 0.861508i | ||||
\(738\) | −16.5938 | + | 3.30071i | −0.610826 | + | 0.121501i | ||||
\(739\) | 4.35755 | + | 0.740378i | 0.160295 | + | 0.0272353i | 0.247099 | − | 0.968990i | \(-0.420523\pi\) |
−0.0868042 | + | 0.996225i | \(0.527665\pi\) | |||||||
\(740\) | −8.29785 | − | 15.0138i | −0.305035 | − | 0.551919i | ||||
\(741\) | −0.115219 | + | 4.10657i | −0.00423268 | + | 0.150859i | ||||
\(742\) | 34.8030 | − | 11.0927i | 1.27766 | − | 0.407226i | ||||
\(743\) | −21.4922 | + | 28.5582i | −0.788474 | + | 1.04770i | 0.209087 | + | 0.977897i | \(0.432951\pi\) |
−0.997561 | + | 0.0698014i | \(0.977763\pi\) | |||||||
\(744\) | −16.5199 | + | 26.2912i | −0.605648 | + | 0.963884i | ||||
\(745\) | −6.49719 | + | 0.917250i | −0.238038 | + | 0.0336055i | ||||
\(746\) | −56.6460 | − | 31.3071i | −2.07396 | − | 1.14624i | ||||
\(747\) | −25.6111 | − | 5.84557i | −0.937061 | − | 0.213878i | ||||
\(748\) | −23.5802 | − | 81.9172i | −0.862176 | − | 2.99519i | ||||
\(749\) | 26.2481 | + | 54.5048i | 0.959085 | + | 1.99156i | ||||
\(750\) | 6.43129 | + | 3.55445i | 0.234838 | + | 0.129790i | ||||
\(751\) | 1.44139 | − | 17.0884i | 0.0525970 | − | 0.623564i | −0.920130 | − | 0.391612i | \(-0.871917\pi\) |
0.972727 | − | 0.231952i | \(-0.0745111\pi\) | |||||||
\(752\) | −19.1055 | + | 54.6004i | −0.696706 | + | 1.99107i | ||||
\(753\) | 15.8394 | − | 4.08581i | 0.577219 | − | 0.148895i | ||||
\(754\) | 1.01161 | + | 3.17388i | 0.0368406 | + | 0.115586i | ||||
\(755\) | −4.23920 | + | 5.02022i | −0.154280 | + | 0.182705i | ||||
\(756\) | −81.5976 | + | 4.58242i | −2.96768 | + | 0.166661i | ||||
\(757\) | 22.0547 | − | 31.0832i | 0.801593 | − | 1.12974i | −0.187474 | − | 0.982270i | \(-0.560030\pi\) |
0.989067 | − | 0.147469i | \(-0.0471128\pi\) | |||||||
\(758\) | 58.3398 | + | 1.63686i | 2.11900 | + | 0.0594533i | ||||
\(759\) | −8.56795 | + | 0.722698i | −0.310997 | + | 0.0262323i | ||||
\(760\) | −2.32885 | + | 3.09450i | −0.0844762 | + | 0.112249i | ||||
\(761\) | −20.3310 | − | 12.7748i | −0.736997 | − | 0.463086i | 0.110507 | − | 0.993875i | \(-0.464753\pi\) |
−0.847504 | + | 0.530790i | \(0.821895\pi\) | |||||||
\(762\) | −5.84997 | + | 0.825878i | −0.211922 | + | 0.0299184i | ||||
\(763\) | −26.8308 | − | 7.72982i | −0.971340 | − | 0.279838i | ||||
\(764\) | −7.97503 | + | 34.9409i | −0.288526 | + | 1.26412i | ||||
\(765\) | −3.03454 | − | 4.27880i | −0.109714 | − | 0.154700i | ||||
\(766\) | 9.40801 | + | 41.2192i | 0.339925 | + | 1.48931i | ||||
\(767\) | 25.9111 | + | 62.5548i | 0.935594 | + | 2.25872i | ||||
\(768\) | 8.31549 | − | 5.55623i | 0.300059 | − | 0.200493i | ||||
\(769\) | −11.1084 | − | 6.97989i | −0.400580 | − | 0.251701i | 0.316643 | − | 0.948545i | \(-0.397444\pi\) |
−0.717223 | + | 0.696844i | \(0.754587\pi\) | |||||||
\(770\) | 12.4551 | + | 24.1092i | 0.448850 | + | 0.868834i | ||||
\(771\) | −1.53277 | + | 10.8571i | −0.0552015 | + | 0.391010i | ||||
\(772\) | 3.49529 | − | 13.5501i | 0.125798 | − | 0.487679i | ||||
\(773\) | 11.8407 | − | 28.5859i | 0.425879 | − | 1.02816i | −0.554702 | − | 0.832049i | \(-0.687168\pi\) |
0.980581 | − | 0.196114i | \(-0.0628324\pi\) | |||||||
\(774\) | −40.1505 | + | 20.8183i | −1.44318 | + | 0.748297i | ||||
\(775\) | −33.0187 | + | 6.56783i | −1.18607 | + | 0.235924i | ||||
\(776\) | 45.0937 | − | 26.6001i | 1.61877 | − | 0.954889i | ||||
\(777\) | −5.55876 | − | 21.5495i | −0.199419 | − | 0.773085i | ||||
\(778\) | −8.10260 | + | 71.9125i | −0.290492 | + | 2.57819i | ||||
\(779\) | −1.84418 | + | 1.95065i | −0.0660746 | + | 0.0698894i | ||||
\(780\) | 8.04250 | − | 3.33131i | 0.287968 | − | 0.119280i | ||||
\(781\) | 4.02335 | 0.143967 | ||||||||
\(782\) | −34.0040 | + | 11.8900i | −1.21598 | + | 0.425187i | ||||
\(783\) | 0.428121 | − | 0.536846i | 0.0152998 | − | 0.0191853i | ||||
\(784\) | 172.157 | − | 29.2507i | 6.14847 | − | 1.04467i | ||||
\(785\) | 6.97404 | + | 0.588253i | 0.248914 | + | 0.0209957i | ||||
\(786\) | −5.16127 | − | 14.7501i | −0.184096 | − | 0.526117i | ||||
\(787\) | 2.24605 | − | 0.0630182i | 0.0800631 | − | 0.00224636i | 0.0120078 | − | 0.999928i | \(-0.496178\pi\) |
0.0680553 | + | 0.997682i | \(0.478321\pi\) | |||||||
\(788\) | −67.1899 | + | 39.6343i | −2.39354 | + | 1.41191i | ||||
\(789\) | −7.94023 | + | 9.40312i | −0.282680 | + | 0.334760i | ||||
\(790\) | −7.20343 | + | 10.1523i | −0.256287 | + | 0.361202i | ||||
\(791\) | 35.6031 | + | 25.2617i | 1.26590 | + | 0.898203i | ||||
\(792\) | 50.1299 | + | 66.6110i | 1.78129 | + | 2.36692i | ||||
\(793\) | −19.9156 | + | 1.67986i | −0.707224 | + | 0.0596536i | ||||
\(794\) | 48.5018 | + | 57.4377i | 1.72126 | + | 2.03839i | ||||
\(795\) | 0.757000 | + | 0.264886i | 0.0268480 | + | 0.00939453i | ||||
\(796\) | 67.7445 | + | 39.9615i | 2.40114 | + | 1.41640i | ||||
\(797\) | 0.600210 | − | 2.08337i | 0.0212605 | − | 0.0737969i | −0.949578 | − | 0.313530i | \(-0.898488\pi\) |
0.970839 | + | 0.239733i | \(0.0770599\pi\) | |||||||
\(798\) | −6.71908 | + | 5.35829i | −0.237853 | + | 0.189681i | ||||
\(799\) | −24.9496 | − | 0.705579i | −0.882653 | − | 0.0249616i | ||||
\(800\) | −47.6361 | − | 10.8726i | −1.68419 | − | 0.384405i | ||||
\(801\) | 3.11680 | + | 18.3442i | 0.110127 | + | 0.648159i | ||||
\(802\) | −92.1372 | − | 29.3668i | −3.25348 | − | 1.03698i | ||||
\(803\) | −11.7121 | − | 33.4713i | −0.413312 | − | 1.18118i | ||||
\(804\) | −0.529411 | − | 18.8689i | −0.0186709 | − | 0.665456i | ||||
\(805\) | 6.97855 | − | 4.11654i | 0.245962 | − | 0.145089i | ||||
\(806\) | −53.0772 | + | 102.741i | −1.86956 | + | 3.61889i | ||||
\(807\) | 3.80571 | + | 2.70030i | 0.133968 | + | 0.0950550i | ||||
\(808\) | −99.1580 | + | 54.8027i | −3.48837 | + | 1.92795i | ||||
\(809\) | 10.3258 | + | 23.0759i | 0.363036 | + | 0.811307i | 0.999209 | + | 0.0397601i | \(0.0126594\pi\) |
−0.636173 | + | 0.771547i | \(0.719483\pi\) | |||||||
\(810\) | 6.17310 | + | 4.12474i | 0.216901 | + | 0.144928i | ||||
\(811\) | −4.51223 | + | 22.6845i | −0.158446 | + | 0.796560i | 0.817054 | + | 0.576561i | \(0.195606\pi\) |
−0.975500 | + | 0.220000i | \(0.929394\pi\) | |||||||
\(812\) | −2.61951 | + | 4.16893i | −0.0919269 | + | 0.146301i | ||||
\(813\) | −2.88495 | + | 9.05142i | −0.101180 | + | 0.317447i | ||||
\(814\) | −55.2547 | + | 61.8300i | −1.93668 | + | 2.16714i | ||||
\(815\) | −1.44330 | + | 2.99705i | −0.0505566 | + | 0.104982i | ||||
\(816\) | −18.4291 | − | 14.7035i | −0.645149 | − | 0.514724i | ||||
\(817\) | −3.28406 | + | 6.38026i | −0.114895 | + | 0.223217i | ||||
\(818\) | 33.9537 | + | 81.9715i | 1.18716 | + | 2.86607i | ||||
\(819\) | −82.5103 | + | 11.6485i | −2.88314 | + | 0.407032i | ||||
\(820\) | 5.36899 | + | 1.87869i | 0.187493 | + | 0.0656068i | ||||
\(821\) | 8.11728 | − | 4.19349i | 0.283295 | − | 0.146354i | −0.311463 | − | 0.950258i | \(-0.600819\pi\) |
0.594758 | + | 0.803904i | \(0.297248\pi\) | |||||||
\(822\) | −3.63971 | + | 9.53504i | −0.126950 | + | 0.332573i | ||||
\(823\) | 7.26024 | + | 36.4997i | 0.253076 | + | 1.27230i | 0.873032 | + | 0.487663i | \(0.162151\pi\) |
−0.619956 | + | 0.784637i | \(0.712849\pi\) | |||||||
\(824\) | −7.27393 | + | 17.5608i | −0.253399 | + | 0.611760i | ||||
\(825\) | 2.05200 | − | 12.0772i | 0.0714416 | − | 0.420475i | ||||
\(826\) | −65.0111 | + | 125.841i | −2.26203 | + | 4.37858i | ||||
\(827\) | 8.10499 | − | 7.66259i | 0.281838 | − | 0.266454i | −0.533036 | − | 0.846093i | \(-0.678949\pi\) |
0.814874 | + | 0.579638i | \(0.196806\pi\) | |||||||
\(828\) | 32.5287 | − | 27.4680i | 1.13045 | − | 0.954579i | ||||
\(829\) | −0.376806 | + | 0.131850i | −0.0130870 | + | 0.00457935i | −0.336815 | − | 0.941571i | \(-0.609350\pi\) |
0.323728 | + | 0.946150i | \(0.395064\pi\) | |||||||
\(830\) | 9.08352 | + | 8.58772i | 0.315294 | + | 0.298084i | ||||
\(831\) | −15.2743 | − | 0.857787i | −0.529860 | − | 0.0297563i | ||||
\(832\) | −37.4775 | + | 29.8873i | −1.29930 | + | 1.03616i | ||||
\(833\) | 34.5679 | + | 66.9492i | 1.19771 | + | 2.31965i | ||||
\(834\) | −0.429162 | + | 1.88028i | −0.0148607 | + | 0.0651088i | ||||
\(835\) | −3.82286 | + | 4.27778i | −0.132295 | + | 0.148039i | ||||
\(836\) | 21.5559 | + | 6.87048i | 0.745526 | + | 0.237620i | ||||
\(837\) | 23.6870 | − | 2.66888i | 0.818741 | − | 0.0922500i | ||||
\(838\) | −13.8134 | − | 53.5501i | −0.477175 | − | 1.84986i | ||||
\(839\) | 30.8054 | + | 4.34900i | 1.06352 | + | 0.150144i | 0.649682 | − | 0.760206i | \(-0.274902\pi\) |
0.413839 | + | 0.910350i | \(0.364188\pi\) | |||||||
\(840\) | 9.45907 | + | 4.88667i | 0.326369 | + | 0.168606i | ||||
\(841\) | 8.01678 | + | 27.8269i | 0.276441 | + | 0.959547i | ||||
\(842\) | −0.769194 | − | 13.6968i | −0.0265082 | − | 0.472022i | ||||
\(843\) | 2.22435 | + | 0.0624091i | 0.0766106 | + | 0.00214948i | ||||
\(844\) | 60.3136 | + | 63.7957i | 2.07608 | + | 2.19594i | ||||
\(845\) | 11.2782 | − | 5.82645i | 0.387982 | − | 0.200436i | ||||
\(846\) | 39.4087 | − | 13.7897i | 1.35490 | − | 0.474100i | ||||
\(847\) | 25.6790 | − | 27.1616i | 0.882341 | − | 0.933282i | ||||
\(848\) | −26.5539 | − | 1.49124i | −0.911866 | − | 0.0512093i | ||||
\(849\) | 0.572703 | − | 0.718147i | 0.0196551 | − | 0.0246467i | ||||
\(850\) | −4.30231 | − | 51.1420i | −0.147568 | − | 1.75416i | ||||
\(851\) | 19.3569 | + | 15.4366i | 0.663545 | + | 0.529160i | ||||
\(852\) | 2.20199 | − | 1.56240i | 0.0754390 | − | 0.0535268i | ||||
\(853\) | −16.4057 | − | 24.5528i | −0.561719 | − | 0.840672i | 0.436538 | − | 0.899686i | \(-0.356204\pi\) |
−0.998257 | + | 0.0590139i | \(0.981204\pi\) | |||||||
\(854\) | −29.5641 | − | 29.5641i | −1.01166 | − | 1.01166i | ||||
\(855\) | 1.39168 | − | 0.0390469i | 0.0475946 | − | 0.00133538i | ||||
\(856\) | −7.43318 | − | 88.1241i | −0.254061 | − | 3.01202i | ||||
\(857\) | 26.3377 | + | 34.9967i | 0.899680 | + | 1.19546i | 0.980060 | + | 0.198701i | \(0.0636721\pi\) |
−0.0803807 | + | 0.996764i | \(0.525614\pi\) | |||||||
\(858\) | −28.0397 | − | 31.3764i | −0.957259 | − | 1.07117i | ||||
\(859\) | −17.5426 | − | 7.26639i | −0.598547 | − | 0.247926i | 0.0627760 | − | 0.998028i | \(-0.480005\pi\) |
−0.661323 | + | 0.750101i | \(0.730005\pi\) | |||||||
\(860\) | 15.1828 | + | 0.829906i | 0.517728 | + | 0.0282995i | ||||
\(861\) | 6.13585 | + | 4.09984i | 0.209109 | + | 0.139722i | ||||
\(862\) | −37.3433 | + | 49.6206i | −1.27192 | + | 1.69008i | ||||
\(863\) | −6.05200 | + | 17.2956i | −0.206012 | + | 0.588750i | −0.999811 | − | 0.0194307i | \(-0.993815\pi\) |
0.793799 | + | 0.608181i | \(0.208100\pi\) | |||||||
\(864\) | 32.9622 | + | 10.5060i | 1.12140 | + | 0.357421i | ||||
\(865\) | −5.43786 | + | 3.85837i | −0.184893 | + | 0.131188i | ||||
\(866\) | − | 67.5345i | − | 2.29492i | ||||||
\(867\) | 3.63197 | − | 9.50204i | 0.123348 | − | 0.322706i | ||||
\(868\) | −166.635 | + | 38.0334i | −5.65597 | + | 1.29094i | ||||
\(869\) | 40.8532 | + | 11.7696i | 1.38585 | + | 0.399256i | ||||
\(870\) | −0.142942 | + | 0.0545640i | −0.00484620 | + | 0.00184989i | ||||
\(871\) | −4.60189 | − | 40.8429i | −0.155929 | − | 1.38391i | ||||
\(872\) | 32.6144 | + | 24.5449i | 1.10446 | + | 0.831194i | ||||
\(873\) | −17.5830 | − | 6.71177i | −0.595093 | − | 0.227159i | ||||
\(874\) | 2.38805 | − | 9.25772i | 0.0807771 | − | 0.313147i | ||||
\(875\) | 6.54669 | + | 22.7240i | 0.221318 | + | 0.768213i | ||||
\(876\) | −19.4081 | − | 13.7708i | −0.655739 | − | 0.465271i | ||||
\(877\) | −0.356550 | + | 12.7079i | −0.0120398 | + | 0.429116i | 0.970289 | + | 0.241950i | \(0.0777872\pi\) |
−0.982328 | + | 0.187165i | \(0.940070\pi\) | |||||||
\(878\) | 1.81060 | − | 12.8251i | 0.0611050 | − | 0.432827i | ||||
\(879\) | −9.09782 | + | 4.70004i | −0.306862 | + | 0.158529i | ||||
\(880\) | −2.21217 | − | 19.6335i | −0.0745721 | − | 0.661846i | ||||
\(881\) | 2.28070 | − | 3.86635i | 0.0768388 | − | 0.130261i | −0.820427 | − | 0.571751i | \(-0.806264\pi\) |
0.897266 | + | 0.441490i | \(0.145550\pi\) | |||||||
\(882\) | −93.9793 | − | 83.9850i | −3.16445 | − | 2.82792i | ||||
\(883\) | −20.4447 | − | 16.3041i | −0.688020 | − | 0.548677i | 0.215881 | − | 0.976420i | \(-0.430738\pi\) |
−0.903901 | + | 0.427742i | \(0.859309\pi\) | |||||||
\(884\) | −103.551 | − | 69.2236i | −3.48278 | − | 2.32824i | ||||
\(885\) | −2.80190 | + | 1.34933i | −0.0941850 | + | 0.0453571i | ||||
\(886\) | −0.870885 | − | 5.12566i | −0.0292579 | − | 0.172200i | ||||
\(887\) | 6.05436 | + | 15.8607i | 0.203286 | + | 0.532552i | 0.997142 | − | 0.0755540i | \(-0.0240725\pi\) |
−0.793856 | + | 0.608106i | \(0.791930\pi\) | |||||||
\(888\) | −3.64264 | + | 32.3293i | −0.122239 | + | 1.08490i | ||||
\(889\) | −15.1919 | − | 11.4331i | −0.509520 | − | 0.383453i | ||||
\(890\) | 3.15757 | − | 8.27194i | 0.105842 | − | 0.277276i | ||||
\(891\) | 6.33346 | − | 24.5528i | 0.212179 | − | 0.822550i | ||||
\(892\) | 31.7085 | + | 57.3723i | 1.06168 | + | 1.92097i | ||||
\(893\) | 3.83339 | − | 5.40266i | 0.128279 | − | 0.180793i | ||||
\(894\) | 18.9108 | + | 9.76955i | 0.632472 | + | 0.326743i | ||||
\(895\) | 2.97936 | − | 7.80510i | 0.0995891 | − | 0.260896i | ||||
\(896\) | 2.70497 | + | 0.538051i | 0.0903666 | + | 0.0179750i | ||||
\(897\) | −8.88405 | + | 8.88405i | −0.296630 | + | 0.296630i | ||||
\(898\) | 22.7904 | + | 21.5464i | 0.760526 | + | 0.719014i | ||||
\(899\) | 0.694646 | − | 1.25687i | 0.0231677 | − | 0.0419189i | ||||
\(900\) | 26.3182 | + | 54.6502i | 0.877272 | + | 1.82167i | ||||
\(901\) | −2.86384 | − | 11.1124i | −0.0954083 | − | 0.370208i | ||||
\(902\) | − | 27.4961i | − | 0.915520i | ||||||
\(903\) | 18.8040 | + | 5.96245i | 0.625757 | + | 0.198418i | ||||
\(904\) | −35.4551 | − | 53.0624i | −1.17922 | − | 1.76483i | ||||
\(905\) | 1.80885 | + | 5.16940i | 0.0601282 | + | 0.171837i | ||||
\(906\) | 20.6390 | − | 5.32388i | 0.685684 | − | 0.176874i | ||||
\(907\) | 9.08336 | − | 0.766172i | 0.301608 | − | 0.0254403i | 0.0677215 | − | 0.997704i | \(-0.478427\pi\) |
0.233886 | + | 0.972264i | \(0.424856\pi\) | |||||||
\(908\) | −23.1255 | − | 51.6804i | −0.767447 | − | 1.71508i | ||||
\(909\) | 37.6269 | + | 15.5856i | 1.24800 | + | 0.516940i | ||||
\(910\) | 36.6333 | + | 15.1740i | 1.21438 | + | 0.503014i | ||||
\(911\) | −39.2154 | + | 17.5478i | −1.29927 | + | 0.581384i | −0.936556 | − | 0.350518i | \(-0.886006\pi\) |
−0.362710 | + | 0.931902i | \(0.618148\pi\) | |||||||
\(912\) | 5.96175 | − | 1.90018i | 0.197413 | − | 0.0629212i | ||||
\(913\) | 17.4377 | − | 38.9693i | 0.577102 | − | 1.28970i | ||||
\(914\) | −10.6943 | + | 1.20496i | −0.353738 | + | 0.0398567i | ||||
\(915\) | −0.128324 | − | 0.908961i | −0.00424226 | − | 0.0300493i | ||||
\(916\) | 50.0931 | + | 70.5996i | 1.65512 | + | 2.33268i | ||||
\(917\) | 21.8207 | − | 45.3112i | 0.720584 | − | 1.49631i | ||||
\(918\) | −0.00809401 | + | 36.3389i | −0.000267142 | + | 1.19936i | ||||
\(919\) | −11.3379 | + | 49.6744i | −0.374001 | + | 1.63861i | 0.341417 | + | 0.939912i | \(0.389093\pi\) |
−0.715419 | + | 0.698696i | \(0.753764\pi\) | |||||||
\(920\) | −11.6771 | + | 1.98401i | −0.384982 | + | 0.0654110i | ||||
\(921\) | −7.87226 | + | 13.3454i | −0.259400 | + | 0.439746i | ||||
\(922\) | 2.36938 | − | 21.0288i | 0.0780314 | − | 0.692548i | ||||
\(923\) | 4.49171 | − | 3.79291i | 0.147847 | − | 0.124845i | ||||
\(924\) | 8.69425 | − | 61.5843i | 0.286020 | − | 2.02597i | ||||
\(925\) | −28.1842 | + | 21.2108i | −0.926690 | + | 0.697406i | ||||
\(926\) | 34.3853 | − | 19.0041i | 1.12997 | − | 0.624513i | ||||
\(927\) | 6.56582 | − | 1.89158i | 0.215650 | − | 0.0621277i | ||||
\(928\) | 1.66533 | − | 1.25329i | 0.0546671 | − | 0.0411412i | ||||
\(929\) | 20.4808 | + | 21.6633i | 0.671955 | + | 0.710750i | 0.969810 | − | 0.243861i | \(-0.0784142\pi\) |
−0.297855 | + | 0.954611i | \(0.596271\pi\) | |||||||
\(930\) | −4.84817 | − | 2.16942i | −0.158978 | − | 0.0711380i | ||||
\(931\) | −19.8719 | − | 2.23902i | −0.651275 | − | 0.0733810i | ||||
\(932\) | −1.14108 | − | 8.08262i | −0.0373772 | − | 0.264755i | ||||
\(933\) | 4.27824 | − | 3.03558i | 0.140063 | − | 0.0993803i | ||||
\(934\) | −18.0022 | + | 37.3819i | −0.589049 | + | 1.22317i | ||||
\(935\) | 7.78230 | − | 3.48027i | 0.254508 | − | 0.113817i | ||||
\(936\) | 118.761 | + | 27.1065i | 3.88184 | + | 0.886005i | ||||
\(937\) | 2.43807 | − | 8.46273i | 0.0796482 | − | 0.276465i | −0.911099 | − | 0.412189i | \(-0.864764\pi\) |
0.990747 | + | 0.135723i | \(0.0433359\pi\) | |||||||
\(938\) | 59.0688 | − | 62.4791i | 1.92866 | − | 2.04001i | ||||
\(939\) | 13.7923 | − | 13.7923i | 0.450095 | − | 0.450095i | ||||
\(940\) | −13.7674 | − | 2.73850i | −0.449042 | − | 0.0893200i | ||||
\(941\) | −2.38761 | − | 0.911399i | −0.0778339 | − | 0.0297108i | 0.317395 | − | 0.948293i | \(-0.397192\pi\) |
−0.395229 | + | 0.918583i | \(0.629335\pi\) | |||||||
\(942\) | −17.3463 | − | 14.6476i | −0.565173 | − | 0.477246i | ||||
\(943\) | −8.19673 | + | 0.460319i | −0.266922 | + | 0.0149900i | ||||
\(944\) | 76.8970 | − | 68.7193i | 2.50278 | − | 2.23662i | ||||
\(945\) | −1.59453 | − | 8.01625i | −0.0518701 | − | 0.260769i | ||||
\(946\) | −20.4532 | − | 70.5983i | −0.664992 | − | 2.29535i | ||||
\(947\) | −42.4938 | − | 8.45255i | −1.38086 | − | 0.274671i | −0.551871 | − | 0.833930i | \(-0.686086\pi\) |
−0.828993 | + | 0.559259i | \(0.811086\pi\) | |||||||
\(948\) | 26.9296 | − | 9.42307i | 0.874633 | − | 0.306047i | ||||
\(949\) | −44.6298 | − | 26.3265i | −1.44875 | − | 0.854593i | ||||
\(950\) | 11.9218 | + | 6.58895i | 0.386795 | + | 0.213774i | ||||
\(951\) | −4.59120 | − | 20.1154i | −0.148880 | − | 0.652285i | ||||
\(952\) | −17.0229 | − | 151.385i | −0.551715 | − | 4.90643i | ||||
\(953\) | − | 43.1472i | − | 1.39768i | −0.715280 | − | 0.698838i | \(-0.753701\pi\) | ||
0.715280 | − | 0.698838i | \(-0.246299\pi\) | |||||||
\(954\) | 11.1081 | + | 15.6555i | 0.359640 | + | 0.506864i | ||||
\(955\) | −3.57156 | − | 0.301257i | −0.115573 | − | 0.00974846i | ||||
\(956\) | 26.0931 | + | 41.5270i | 0.843913 | + | 1.34308i | ||||
\(957\) | 0.337137 | + | 0.399250i | 0.0108981 | + | 0.0129059i | ||||
\(958\) | 0.171169 | + | 0.290174i | 0.00553023 | + | 0.00937509i | ||||
\(959\) | −29.9811 | + | 13.4157i | −0.968141 | + | 0.433215i | ||||
\(960\) | −1.46709 | − | 1.64167i | −0.0473500 | − | 0.0529847i | ||||
\(961\) | 18.1152 | − | 5.21889i | 0.584360 | − | 0.168351i | ||||
\(962\) | −3.39824 | + | 121.118i | −0.109564 | + | 3.90499i | ||||
\(963\) | −23.1015 | + | 21.8405i | −0.744434 | + | 0.703800i | ||||
\(964\) | 13.9831 | + | 54.2081i | 0.450366 | + | 1.74593i | ||||
\(965\) | 1.39068 | + | 0.156692i | 0.0447676 | + | 0.00504410i | ||||
\(966\) | −26.1899 | − | 2.20909i | −0.842645 | − | 0.0710762i | ||||
\(967\) | −30.0330 | + | 33.6069i | −0.965795 | + | 1.08072i | 0.0309029 | + | 0.999522i | \(0.490162\pi\) |
−0.996698 | + | 0.0812024i | \(0.974124\pi\) | |||||||
\(968\) | −49.2314 | + | 23.7086i | −1.58236 | + | 0.762024i | ||||
\(969\) | 1.56185 | + | 2.20225i | 0.0501737 | + | 0.0707466i | ||||
\(970\) | 5.58375 | + | 7.00180i | 0.179283 | + | 0.224814i | ||||
\(971\) | −1.46049 | − | 1.30518i | −0.0468695 | − | 0.0418851i | 0.642583 | − | 0.766216i | \(-0.277863\pi\) |
−0.689452 | + | 0.724331i | \(0.742149\pi\) | |||||||
\(972\) | −23.4604 | − | 61.4596i | −0.752492 | − | 1.97132i | ||||
\(973\) | −5.25548 | + | 3.30224i | −0.168483 | + | 0.105865i | ||||
\(974\) | 47.8372 | + | 92.5978i | 1.53280 | + | 2.96702i | ||||
\(975\) | −9.09462 | − | 15.4176i | −0.291261 | − | 0.493759i | ||||
\(976\) | 12.4337 | + | 27.7865i | 0.397992 | + | 0.889424i | ||||
\(977\) | −26.7205 | − | 29.9002i | −0.854864 | − | 0.956593i | 0.144595 | − | 0.989491i | \(-0.453812\pi\) |
−0.999459 | + | 0.0328978i | \(0.989526\pi\) | |||||||
\(978\) | 9.44432 | − | 5.21969i | 0.301996 | − | 0.166907i | ||||
\(979\) | −30.2278 | − | 0.848110i | −0.966084 | − | 0.0271057i | ||||
\(980\) | 12.8682 | + | 40.3734i | 0.411058 | + | 1.28968i | ||||
\(981\) | −0.411534 | − | 14.6676i | −0.0131393 | − | 0.468302i | ||||
\(982\) | −5.40204 | − | 5.40204i | −0.172386 | − | 0.172386i | ||||
\(983\) | −3.07211 | − | 4.59774i | −0.0979851 | − | 0.146645i | 0.779238 | − | 0.626728i | \(-0.215606\pi\) |
−0.877223 | + | 0.480083i | \(0.840606\pi\) | |||||||
\(984\) | −6.24266 | − | 8.79821i | −0.199009 | − | 0.280477i | ||||
\(985\) | −4.86417 | − | 6.09947i | −0.154985 | − | 0.194345i | ||||
\(986\) | 1.78517 | + | 1.26725i | 0.0568515 | + | 0.0403574i | ||||
\(987\) | −16.4074 | − | 7.90141i | −0.522255 | − | 0.251505i | ||||
\(988\) | 30.5422 | − | 12.6510i | 0.971677 | − | 0.402482i | ||||
\(989\) | −20.7033 | + | 7.27912i | −0.658327 | + | 0.231463i | ||||
\(990\) | −10.0837 | + | 10.0837i | −0.320481 | + | 0.320481i | ||||
\(991\) | 7.70112 | + | 5.79569i | 0.244634 | + | 0.184106i | 0.716546 | − | 0.697539i | \(-0.245722\pi\) |
−0.471912 | + | 0.881646i | \(0.656436\pi\) | |||||||
\(992\) | 71.6430 | + | 10.1143i | 2.27467 | + | 0.321130i | ||||
\(993\) | −4.02374 | + | 4.76507i | −0.127690 | + | 0.151215i | ||||
\(994\) | 12.1245 | + | 2.06004i | 0.384566 | + | 0.0653404i | ||||
\(995\) | −3.01016 | + | 7.26716i | −0.0954284 | + | 0.230384i | ||||
\(996\) | −5.58937 | − | 28.0997i | −0.177106 | − | 0.890371i | ||||
\(997\) | 15.0337 | + | 5.73868i | 0.476124 | + | 0.181746i | 0.582911 | − | 0.812536i | \(-0.301914\pi\) |
−0.106787 | + | 0.994282i | \(0.534056\pi\) | |||||||
\(998\) | −6.45783 | + | 5.45315i | −0.204419 | + | 0.172616i | ||||
\(999\) | 21.1474 | − | 13.2878i | 0.669074 | − | 0.420407i |
(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 | 731.2.bj.a.22.3 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.62 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.62 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.3 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.3 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.62 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.62 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.3 | yes | 3072 | 731.432 | even | 112 | inner |