Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [121,2,Mod(4,121)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(121, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("121.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 121 = 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 121.g (of order \(55\), degree \(40\), 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: | \(0.966189864457\) |
Analytic rank: | \(0\) |
Dimension: | \(400\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 5.8 | ||
Character | \(\chi\) | \(=\) | 121.5 |
Dual form | 121.2.g.a.97.8 |
$q$-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 \(\left(\mathbb{Z}/121\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{37}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.407235 | − | 0.675323i | 0.287959 | − | 0.477526i | −0.678411 | − | 0.734682i | \(-0.737331\pi\) |
0.966370 | + | 0.257157i | \(0.0827857\pi\) | |||||||
\(3\) | 0.0991267 | + | 0.0720198i | 0.0572308 | + | 0.0415806i | 0.616033 | − | 0.787720i | \(-0.288739\pi\) |
−0.558802 | + | 0.829301i | \(0.688739\pi\) | |||||||
\(4\) | 0.643113 | + | 1.21884i | 0.321557 | + | 0.609418i | ||||
\(5\) | 2.11727 | − | 1.73128i | 0.946872 | − | 0.774253i | −0.0274010 | − | 0.999625i | \(-0.508723\pi\) |
0.974273 | + | 0.225371i | \(0.0723595\pi\) | |||||||
\(6\) | 0.0890045 | − | 0.0376136i | 0.0363359 | − | 0.0153557i | ||||
\(7\) | −3.04355 | + | 3.94694i | −1.15035 | + | 1.49180i | −0.309206 | + | 0.950995i | \(0.600063\pi\) |
−0.841146 | + | 0.540808i | \(0.818119\pi\) | |||||||
\(8\) | 2.65965 | + | 0.152084i | 0.940328 | + | 0.0537699i | ||||
\(9\) | −0.922412 | − | 2.83889i | −0.307471 | − | 0.946297i | ||||
\(10\) | −0.306949 | − | 2.13488i | −0.0970659 | − | 0.675108i | ||||
\(11\) | −1.30104 | − | 3.05079i | −0.392277 | − | 0.919847i | ||||
\(12\) | −0.0240305 | + | 0.167136i | −0.00693702 | + | 0.0482480i | ||||
\(13\) | 2.40707 | − | 0.416561i | 0.667602 | − | 0.115533i | 0.173362 | − | 0.984858i | \(-0.444537\pi\) |
0.494241 | + | 0.869325i | \(0.335446\pi\) | |||||||
\(14\) | 1.42602 | + | 3.66271i | 0.381120 | + | 0.978900i | ||||
\(15\) | 0.334565 | − | 0.0191311i | 0.0863842 | − | 0.00493963i | ||||
\(16\) | −0.369909 | + | 0.540975i | −0.0924772 | + | 0.135244i | ||||
\(17\) | −1.37208 | + | 0.157432i | −0.332779 | + | 0.0381828i | −0.278771 | − | 0.960358i | \(-0.589927\pi\) |
−0.0540081 | + | 0.998540i | \(0.517200\pi\) | |||||||
\(18\) | −2.29281 | − | 0.533170i | −0.540420 | − | 0.125669i | ||||
\(19\) | −3.63553 | + | 2.05308i | −0.834047 | + | 0.471008i | −0.848694 | − | 0.528885i | \(-0.822610\pi\) |
0.0146465 | + | 0.999893i | \(0.495338\pi\) | |||||||
\(20\) | 3.47179 | + | 1.46719i | 0.776317 | + | 0.328074i | ||||
\(21\) | −0.585954 | + | 0.172052i | −0.127866 | + | 0.0375448i | ||||
\(22\) | −2.59009 | − | 0.363768i | −0.552210 | − | 0.0775555i | ||||
\(23\) | −6.32780 | − | 1.85801i | −1.31944 | − | 0.387422i | −0.455148 | − | 0.890416i | \(-0.650414\pi\) |
−0.864290 | + | 0.502994i | \(0.832232\pi\) | |||||||
\(24\) | 0.252689 | + | 0.206623i | 0.0515800 | + | 0.0421767i | ||||
\(25\) | 0.492539 | − | 2.43078i | 0.0985078 | − | 0.486155i | ||||
\(26\) | 0.698931 | − | 1.79519i | 0.137072 | − | 0.352066i | ||||
\(27\) | 0.226610 | − | 0.697433i | 0.0436111 | − | 0.134221i | ||||
\(28\) | −6.76802 | − | 1.17125i | −1.27903 | − | 0.221346i | ||||
\(29\) | 0.914543 | + | 4.51345i | 0.169826 | + | 0.838126i | 0.970886 | + | 0.239542i | \(0.0769972\pi\) |
−0.801060 | + | 0.598585i | \(0.795730\pi\) | |||||||
\(30\) | 0.123327 | − | 0.233730i | 0.0225163 | − | 0.0426731i | ||||
\(31\) | −0.294140 | + | 0.144619i | −0.0528291 | + | 0.0259743i | −0.467444 | − | 0.884022i | \(-0.654825\pi\) |
0.414615 | + | 0.909997i | \(0.363916\pi\) | |||||||
\(32\) | 2.42802 | + | 5.31662i | 0.429217 | + | 0.939854i | ||||
\(33\) | 0.0907497 | − | 0.396115i | 0.0157975 | − | 0.0689548i | ||||
\(34\) | −0.452442 | + | 0.990711i | −0.0775932 | + | 0.169906i | ||||
\(35\) | 0.389263 | + | 13.6260i | 0.0657974 | + | 2.30321i | ||||
\(36\) | 2.86693 | − | 2.95000i | 0.477821 | − | 0.491666i | ||||
\(37\) | 0.126898 | + | 0.130575i | 0.0208620 | + | 0.0214665i | 0.727482 | − | 0.686126i | \(-0.240690\pi\) |
−0.706620 | + | 0.707593i | \(0.749781\pi\) | |||||||
\(38\) | −0.0940232 | + | 3.29124i | −0.0152526 | + | 0.533910i | ||||
\(39\) | 0.268606 | + | 0.132065i | 0.0430114 | + | 0.0211473i | ||||
\(40\) | 5.89450 | − | 4.28260i | 0.932002 | − | 0.677139i | ||||
\(41\) | −0.111664 | − | 1.30008i | −0.0174390 | − | 0.203039i | −0.999866 | − | 0.0163899i | \(-0.994783\pi\) |
0.982427 | − | 0.186649i | \(-0.0597627\pi\) | |||||||
\(42\) | −0.122431 | + | 0.465774i | −0.0188914 | + | 0.0718705i | ||||
\(43\) | 8.27879 | − | 5.32046i | 1.26250 | − | 0.811362i | 0.273879 | − | 0.961764i | \(-0.411693\pi\) |
0.988625 | + | 0.150402i | \(0.0480569\pi\) | |||||||
\(44\) | 2.88170 | − | 3.54775i | 0.434432 | − | 0.534844i | ||||
\(45\) | −6.86792 | − | 4.41374i | −1.02381 | − | 0.657962i | ||||
\(46\) | −3.83166 | + | 3.51666i | −0.564947 | + | 0.518504i | ||||
\(47\) | 1.19231 | − | 0.277260i | 0.173916 | − | 0.0404425i | −0.138634 | − | 0.990344i | \(-0.544271\pi\) |
0.312550 | + | 0.949901i | \(0.398817\pi\) | |||||||
\(48\) | −0.0756287 | + | 0.0269843i | −0.0109161 | + | 0.00389485i | ||||
\(49\) | −4.53564 | − | 17.2553i | −0.647948 | − | 2.46505i | ||||
\(50\) | −1.44098 | − | 1.32252i | −0.203785 | − | 0.187032i | ||||
\(51\) | −0.147348 | − | 0.0832114i | −0.0206329 | − | 0.0116519i | ||||
\(52\) | 2.05574 | + | 2.66593i | 0.285080 | + | 0.369698i | ||||
\(53\) | 3.99730 | + | 5.84586i | 0.549071 | + | 0.802991i | 0.995788 | − | 0.0916844i | \(-0.0292251\pi\) |
−0.446717 | + | 0.894675i | \(0.647407\pi\) | |||||||
\(54\) | −0.378709 | − | 0.437054i | −0.0515358 | − | 0.0594755i | ||||
\(55\) | −8.03642 | − | 4.20688i | −1.08363 | − | 0.567256i | ||||
\(56\) | −8.69503 | + | 10.0346i | −1.16192 | + | 1.34093i | ||||
\(57\) | −0.508240 | − | 0.0583151i | −0.0673180 | − | 0.00772403i | ||||
\(58\) | 3.42047 | + | 1.22042i | 0.449130 | + | 0.160249i | ||||
\(59\) | 1.03857 | − | 12.0918i | 0.135210 | − | 1.57422i | −0.543242 | − | 0.839576i | \(-0.682804\pi\) |
0.678452 | − | 0.734645i | \(-0.262651\pi\) | |||||||
\(60\) | 0.238481 | + | 0.395476i | 0.0307877 | + | 0.0510557i | ||||
\(61\) | 0.768151 | + | 1.27384i | 0.0983517 | + | 0.163098i | 0.901633 | − | 0.432502i | \(-0.142369\pi\) |
−0.803281 | + | 0.595600i | \(0.796914\pi\) | |||||||
\(62\) | −0.0221196 | + | 0.257534i | −0.00280919 | + | 0.0327068i | ||||
\(63\) | 14.0123 | + | 4.99959i | 1.76539 | + | 0.629889i | ||||
\(64\) | 3.27705 | + | 0.376006i | 0.409631 | + | 0.0470008i | ||||
\(65\) | 4.37524 | − | 5.04930i | 0.542682 | − | 0.626288i | ||||
\(66\) | −0.230549 | − | 0.222597i | −0.0283786 | − | 0.0273998i | ||||
\(67\) | 9.08390 | + | 10.4834i | 1.10978 | + | 1.28075i | 0.956233 | + | 0.292607i | \(0.0945227\pi\) |
0.153542 | + | 0.988142i | \(0.450932\pi\) | |||||||
\(68\) | −1.07429 | − | 1.57110i | −0.130277 | − | 0.190523i | ||||
\(69\) | −0.493441 | − | 0.639905i | −0.0594033 | − | 0.0770355i | ||||
\(70\) | 9.36046 | + | 5.28609i | 1.11879 | + | 0.631809i | ||||
\(71\) | 2.68787 | + | 2.46690i | 0.318991 | + | 0.292768i | 0.819635 | − | 0.572886i | \(-0.194176\pi\) |
−0.500644 | + | 0.865653i | \(0.666903\pi\) | |||||||
\(72\) | −2.02154 | − | 7.69074i | −0.238241 | − | 0.906362i | ||||
\(73\) | −8.26963 | + | 2.95060i | −0.967887 | + | 0.345342i | −0.772239 | − | 0.635333i | \(-0.780863\pi\) |
−0.195649 | + | 0.980674i | \(0.562681\pi\) | |||||||
\(74\) | 0.139858 | − | 0.0325226i | 0.0162582 | − | 0.00378068i | ||||
\(75\) | 0.223888 | − | 0.205482i | 0.0258523 | − | 0.0237270i | ||||
\(76\) | −4.84042 | − | 3.11075i | −0.555234 | − | 0.356827i | ||||
\(77\) | 16.0010 | + | 4.15010i | 1.82349 | + | 0.472948i | ||||
\(78\) | 0.198572 | − | 0.127614i | 0.0224839 | − | 0.0144495i | ||||
\(79\) | 1.64039 | − | 6.24070i | 0.184559 | − | 0.702134i | −0.808900 | − | 0.587946i | \(-0.799937\pi\) |
0.993459 | − | 0.114188i | \(-0.0364268\pi\) | |||||||
\(80\) | 0.153383 | + | 1.78581i | 0.0171487 | + | 0.199659i | ||||
\(81\) | −7.17202 | + | 5.21078i | −0.796892 | + | 0.578976i | ||||
\(82\) | −0.923450 | − | 0.454030i | −0.101978 | − | 0.0501392i | ||||
\(83\) | 0.164632 | − | 5.76287i | 0.0180707 | − | 0.632557i | −0.939201 | − | 0.343368i | \(-0.888432\pi\) |
0.957272 | − | 0.289190i | \(-0.0933858\pi\) | |||||||
\(84\) | −0.586538 | − | 0.603533i | −0.0639965 | − | 0.0658509i | ||||
\(85\) | −2.63251 | + | 2.70879i | −0.285536 | + | 0.293809i | ||||
\(86\) | −0.221615 | − | 7.75753i | −0.0238974 | − | 0.836516i | ||||
\(87\) | −0.234402 | + | 0.513269i | −0.0251305 | + | 0.0550282i | ||||
\(88\) | −2.99632 | − | 8.31189i | −0.319409 | − | 0.886051i | ||||
\(89\) | −1.39633 | − | 3.05754i | −0.148011 | − | 0.324099i | 0.821076 | − | 0.570819i | \(-0.193374\pi\) |
−0.969087 | + | 0.246721i | \(0.920647\pi\) | |||||||
\(90\) | −5.77756 | + | 2.84063i | −0.609008 | + | 0.299429i | ||||
\(91\) | −5.68190 | + | 10.7684i | −0.595625 | + | 1.12883i | ||||
\(92\) | −1.80489 | − | 8.90746i | −0.188172 | − | 0.928667i | ||||
\(93\) | −0.0395726 | − | 0.00684830i | −0.00410348 | − | 0.000710136i | ||||
\(94\) | 0.298310 | − | 0.918104i | 0.0307683 | − | 0.0946952i | ||||
\(95\) | −4.14294 | + | 10.6410i | −0.425056 | + | 1.09175i | ||||
\(96\) | −0.142220 | + | 0.701884i | −0.0145153 | + | 0.0716358i | ||||
\(97\) | 5.36546 | + | 4.38731i | 0.544780 | + | 0.445464i | 0.864923 | − | 0.501905i | \(-0.167367\pi\) |
−0.320143 | + | 0.947369i | \(0.603731\pi\) | |||||||
\(98\) | −13.5000 | − | 3.96396i | −1.36371 | − | 0.400420i | ||||
\(99\) | −7.46076 | + | 6.50758i | −0.749835 | + | 0.654037i | ||||
\(100\) | 3.27947 | − | 0.962940i | 0.327947 | − | 0.0962940i | ||||
\(101\) | −6.52152 | − | 2.75602i | −0.648915 | − | 0.274234i | 0.0398639 | − | 0.999205i | \(-0.487308\pi\) |
−0.688779 | + | 0.724971i | \(0.741853\pi\) | |||||||
\(102\) | −0.116200 | + | 0.0656211i | −0.0115055 | + | 0.00649746i | ||||
\(103\) | 16.9118 | + | 3.93268i | 1.66637 | + | 0.387498i | 0.950498 | − | 0.310730i | \(-0.100574\pi\) |
0.715875 | + | 0.698229i | \(0.246028\pi\) | |||||||
\(104\) | 6.46532 | − | 0.741827i | 0.633977 | − | 0.0727421i | ||||
\(105\) | −0.942753 | + | 1.37873i | −0.0920033 | + | 0.134551i | ||||
\(106\) | 5.57569 | − | 0.318829i | 0.541558 | − | 0.0309674i | ||||
\(107\) | 4.23327 | + | 10.8731i | 0.409246 | + | 1.05114i | 0.974134 | + | 0.225972i | \(0.0725556\pi\) |
−0.564888 | + | 0.825167i | \(0.691081\pi\) | |||||||
\(108\) | 0.995792 | − | 0.172329i | 0.0958202 | − | 0.0165823i | ||||
\(109\) | 0.517124 | − | 3.59667i | 0.0495315 | − | 0.344499i | −0.949953 | − | 0.312393i | \(-0.898869\pi\) |
0.999484 | − | 0.0321060i | \(-0.0102214\pi\) | |||||||
\(110\) | −6.11372 | + | 3.71399i | −0.582920 | + | 0.354115i | ||||
\(111\) | 0.00317501 | + | 0.0220827i | 0.000301359 | + | 0.00209600i | ||||
\(112\) | −1.00936 | − | 3.10649i | −0.0953755 | − | 0.293536i | ||||
\(113\) | 7.56597 | + | 0.432638i | 0.711746 | + | 0.0406991i | 0.409212 | − | 0.912439i | \(-0.365804\pi\) |
0.302534 | + | 0.953138i | \(0.402167\pi\) | |||||||
\(114\) | −0.246355 | + | 0.319478i | −0.0230732 | + | 0.0299219i | ||||
\(115\) | −16.6144 | + | 7.02131i | −1.54930 | + | 0.654740i | ||||
\(116\) | −4.91300 | + | 4.01734i | −0.456160 | + | 0.373000i | ||||
\(117\) | −3.40288 | − | 6.44918i | −0.314597 | − | 0.596227i | ||||
\(118\) | −7.74294 | − | 5.62558i | −0.712796 | − | 0.517876i | ||||
\(119\) | 3.55462 | − | 5.89468i | 0.325852 | − | 0.540364i | ||||
\(120\) | 0.892734 | 0.0814951 | ||||||||
\(121\) | −7.61461 | + | 7.93837i | −0.692238 | + | 0.721670i | ||||
\(122\) | 1.17307 | 0.106205 | ||||||||
\(123\) | 0.0825628 | − | 0.136915i | 0.00744444 | − | 0.0123452i | ||||
\(124\) | −0.365432 | − | 0.265502i | −0.0328168 | − | 0.0238428i | ||||
\(125\) | 3.21613 | + | 6.09525i | 0.287660 | + | 0.545175i | ||||
\(126\) | 9.08265 | − | 7.42685i | 0.809147 | − | 0.661636i | ||||
\(127\) | −15.7603 | + | 6.66035i | −1.39850 | + | 0.591010i | −0.952642 | − | 0.304094i | \(-0.901646\pi\) |
−0.445857 | + | 0.895104i | \(0.647101\pi\) | |||||||
\(128\) | −5.54978 | + | 7.19708i | −0.490536 | + | 0.636138i | ||||
\(129\) | 1.20383 | + | 0.0688373i | 0.105991 | + | 0.00606079i | ||||
\(130\) | −1.62816 | − | 5.01095i | −0.142799 | − | 0.439490i | ||||
\(131\) | −0.459146 | − | 3.19343i | −0.0401158 | − | 0.279011i | 0.959883 | − | 0.280400i | \(-0.0904671\pi\) |
−0.999999 | + | 0.00138861i | \(0.999558\pi\) | |||||||
\(132\) | 0.541161 | − | 0.144138i | 0.0471020 | − | 0.0125456i | ||||
\(133\) | 2.96152 | − | 20.5978i | 0.256797 | − | 1.78606i | ||||
\(134\) | 10.7790 | − | 1.86537i | 0.931160 | − | 0.161144i | ||||
\(135\) | −0.727660 | − | 1.86898i | −0.0626270 | − | 0.160856i | ||||
\(136\) | −3.67320 | + | 0.210041i | −0.314974 | + | 0.0180109i | ||||
\(137\) | −3.14592 | + | 4.60076i | −0.268774 | + | 0.393069i | −0.936121 | − | 0.351677i | \(-0.885611\pi\) |
0.667348 | + | 0.744746i | \(0.267430\pi\) | |||||||
\(138\) | −0.633089 | + | 0.0726402i | −0.0538921 | + | 0.00618355i | ||||
\(139\) | −16.5675 | − | 3.85261i | −1.40524 | − | 0.326774i | −0.545758 | − | 0.837943i | \(-0.683758\pi\) |
−0.859480 | + | 0.511169i | \(0.829213\pi\) | |||||||
\(140\) | −16.3575 | + | 9.23750i | −1.38246 | + | 0.780711i | ||||
\(141\) | 0.138158 | + | 0.0583860i | 0.0116350 | + | 0.00491699i | ||||
\(142\) | 2.76055 | − | 0.810571i | 0.231660 | − | 0.0680216i | ||||
\(143\) | −4.40253 | − | 6.80151i | −0.368158 | − | 0.568771i | ||||
\(144\) | 1.87698 | + | 0.551130i | 0.156415 | + | 0.0459275i | ||||
\(145\) | 9.75039 | + | 7.97286i | 0.809726 | + | 0.662110i | ||||
\(146\) | −1.37507 | + | 6.78626i | −0.113802 | + | 0.561635i | ||||
\(147\) | 0.793124 | − | 2.03712i | 0.0654157 | − | 0.168019i | ||||
\(148\) | −0.0775399 | + | 0.238643i | −0.00637374 | + | 0.0196163i | ||||
\(149\) | 10.9788 | + | 1.89996i | 0.899422 | + | 0.155651i | 0.601438 | − | 0.798920i | \(-0.294595\pi\) |
0.297984 | + | 0.954571i | \(0.403686\pi\) | |||||||
\(150\) | −0.0475921 | − | 0.234876i | −0.00388588 | − | 0.0191776i | ||||
\(151\) | 5.15749 | − | 9.77453i | 0.419710 | − | 0.795440i | −0.580107 | − | 0.814540i | \(-0.696989\pi\) |
0.999818 | + | 0.0191005i | \(0.00608025\pi\) | |||||||
\(152\) | −9.98147 | + | 4.90756i | −0.809604 | + | 0.398055i | ||||
\(153\) | 1.71256 | + | 3.74998i | 0.138452 | + | 0.303168i | ||||
\(154\) | 9.31884 | − | 9.11580i | 0.750933 | − | 0.734572i | ||||
\(155\) | −0.372398 | + | 0.815437i | −0.0299117 | + | 0.0654975i | ||||
\(156\) | 0.0117790 | + | 0.412319i | 0.000943075 | + | 0.0330119i | ||||
\(157\) | 10.6389 | − | 10.9471i | 0.849075 | − | 0.873678i | −0.144189 | − | 0.989550i | \(-0.546057\pi\) |
0.993264 | + | 0.115873i | \(0.0369664\pi\) | |||||||
\(158\) | −3.54647 | − | 3.64923i | −0.282142 | − | 0.290317i | ||||
\(159\) | −0.0247786 | + | 0.867366i | −0.00196507 | + | 0.0687866i | ||||
\(160\) | 14.3453 | + | 7.05313i | 1.13410 | + | 0.557599i | ||||
\(161\) | 26.5924 | − | 19.3205i | 2.09577 | − | 1.52267i | ||||
\(162\) | 0.598263 | + | 6.96545i | 0.0470040 | + | 0.547257i | ||||
\(163\) | −2.18766 | + | 8.32272i | −0.171351 | + | 0.651886i | 0.824893 | + | 0.565289i | \(0.191235\pi\) |
−0.996243 | + | 0.0865964i | \(0.972401\pi\) | |||||||
\(164\) | 1.51278 | − | 0.972202i | 0.118128 | − | 0.0759162i | ||||
\(165\) | −0.493645 | − | 0.995796i | −0.0384302 | − | 0.0775226i | ||||
\(166\) | −3.82476 | − | 2.45802i | −0.296859 | − | 0.190779i | ||||
\(167\) | −0.173920 | + | 0.159623i | −0.0134584 | + | 0.0123520i | −0.682876 | − | 0.730534i | \(-0.739271\pi\) |
0.669418 | + | 0.742886i | \(0.266544\pi\) | |||||||
\(168\) | −1.58460 | + | 0.368483i | −0.122254 | + | 0.0284291i | ||||
\(169\) | −6.62349 | + | 2.36326i | −0.509500 | + | 0.181789i | ||||
\(170\) | 0.757258 | + | 2.88091i | 0.0580790 | + | 0.220956i | ||||
\(171\) | 9.18192 | + | 8.42709i | 0.702159 | + | 0.644435i | ||||
\(172\) | 11.8090 | + | 6.66883i | 0.900425 | + | 0.508493i | ||||
\(173\) | −12.9137 | − | 16.7468i | −0.981811 | − | 1.27323i | −0.961891 | − | 0.273433i | \(-0.911841\pi\) |
−0.0199198 | − | 0.999802i | \(-0.506341\pi\) | |||||||
\(174\) | 0.251166 | + | 0.367318i | 0.0190408 | + | 0.0278463i | ||||
\(175\) | 8.09506 | + | 9.34220i | 0.611929 | + | 0.706204i | ||||
\(176\) | 2.13166 | + | 0.424687i | 0.160680 | + | 0.0320120i | ||||
\(177\) | 0.973800 | − | 1.12382i | 0.0731953 | − | 0.0844718i | ||||
\(178\) | −2.63346 | − | 0.302162i | −0.197386 | − | 0.0226480i | ||||
\(179\) | −5.00263 | − | 1.78494i | −0.373914 | − | 0.133412i | 0.142405 | − | 0.989808i | \(-0.454516\pi\) |
−0.516319 | + | 0.856396i | \(0.672698\pi\) | |||||||
\(180\) | 0.962776 | − | 11.2094i | 0.0717611 | − | 0.835500i | ||||
\(181\) | 6.78214 | + | 11.2469i | 0.504113 | + | 0.835977i | 0.999465 | − | 0.0327153i | \(-0.0104154\pi\) |
−0.495352 | + | 0.868692i | \(0.664961\pi\) | |||||||
\(182\) | 4.95828 | + | 8.22238i | 0.367532 | + | 0.609484i | ||||
\(183\) | −0.0155971 | + | 0.181593i | −0.00115297 | + | 0.0134238i | ||||
\(184\) | −16.5472 | − | 5.90401i | −1.21987 | − | 0.435250i | ||||
\(185\) | 0.494741 | + | 0.0567663i | 0.0363741 | + | 0.00417354i | ||||
\(186\) | −0.0207402 | + | 0.0239354i | −0.00152074 | + | 0.00175503i | ||||
\(187\) | 2.26542 | + | 3.98111i | 0.165664 | + | 0.291127i | ||||
\(188\) | 1.10472 | + | 1.27492i | 0.0805703 | + | 0.0929831i | ||||
\(189\) | 2.06303 | + | 3.01708i | 0.150063 | + | 0.219461i | ||||
\(190\) | 5.49900 | + | 7.13123i | 0.398939 | + | 0.517353i | ||||
\(191\) | 2.41478 | + | 1.36369i | 0.174727 | + | 0.0986730i | 0.576615 | − | 0.817016i | \(-0.304373\pi\) |
−0.401888 | + | 0.915689i | \(0.631646\pi\) | |||||||
\(192\) | 0.297763 | + | 0.273285i | 0.0214892 | + | 0.0197226i | ||||
\(193\) | 2.45181 | + | 9.32765i | 0.176485 | + | 0.671419i | 0.995255 | + | 0.0972976i | \(0.0310199\pi\) |
−0.818770 | + | 0.574121i | \(0.805344\pi\) | |||||||
\(194\) | 5.14786 | − | 1.83675i | 0.369594 | − | 0.131871i | ||||
\(195\) | 0.797353 | − | 0.185416i | 0.0570996 | − | 0.0132779i | ||||
\(196\) | 18.1145 | − | 16.6253i | 1.29389 | − | 1.18752i | ||||
\(197\) | −3.96069 | − | 2.54538i | −0.282187 | − | 0.181351i | 0.391889 | − | 0.920013i | \(-0.371822\pi\) |
−0.674076 | + | 0.738662i | \(0.735458\pi\) | |||||||
\(198\) | 1.35644 | + | 7.68854i | 0.0963978 | + | 0.546401i | ||||
\(199\) | 10.9234 | − | 7.02005i | 0.774340 | − | 0.497638i | −0.0928107 | − | 0.995684i | \(-0.529585\pi\) |
0.867151 | + | 0.498046i | \(0.165949\pi\) | |||||||
\(200\) | 1.67966 | − | 6.39010i | 0.118770 | − | 0.451848i | ||||
\(201\) | 0.145447 | + | 1.69340i | 0.0102590 | + | 0.119444i | ||||
\(202\) | −4.51699 | + | 3.28179i | −0.317814 | + | 0.230906i | ||||
\(203\) | −20.5978 | − | 10.1272i | −1.44568 | − | 0.710793i | ||||
\(204\) | 0.00665935 | − | 0.233108i | 0.000466248 | − | 0.0163208i | ||||
\(205\) | −2.48724 | − | 2.55931i | −0.173716 | − | 0.178750i | ||||
\(206\) | 9.54292 | − | 9.81943i | 0.664887 | − | 0.684152i | ||||
\(207\) | 0.562149 | + | 19.6778i | 0.0390721 | + | 1.36770i | ||||
\(208\) | −0.665049 | + | 1.45626i | −0.0461129 | + | 0.100973i | ||||
\(209\) | 10.9935 | + | 8.42010i | 0.760433 | + | 0.582430i | ||||
\(210\) | 0.547168 | + | 1.19813i | 0.0377582 | + | 0.0826789i | ||||
\(211\) | −6.45260 | + | 3.17253i | −0.444215 | + | 0.218406i | −0.649601 | − | 0.760275i | \(-0.725064\pi\) |
0.205386 | + | 0.978681i | \(0.434155\pi\) | |||||||
\(212\) | −4.55443 | + | 8.63160i | −0.312799 | + | 0.592821i | ||||
\(213\) | 0.0887738 | + | 0.438116i | 0.00608268 | + | 0.0300192i | ||||
\(214\) | 9.06677 | + | 1.56907i | 0.619792 | + | 0.107259i | ||||
\(215\) | 8.31722 | − | 25.5978i | 0.567230 | − | 1.74575i | ||||
\(216\) | 0.708771 | − | 1.82046i | 0.0482258 | − | 0.123867i | ||||
\(217\) | 0.324426 | − | 1.60111i | 0.0220235 | − | 0.108690i | ||||
\(218\) | −2.21833 | − | 1.81392i | −0.150244 | − | 0.122854i | ||||
\(219\) | −1.03224 | − | 0.303094i | −0.0697525 | − | 0.0204812i | ||||
\(220\) | −0.0408347 | − | 12.5006i | −0.00275307 | − | 0.842789i | ||||
\(221\) | −3.23712 | + | 0.950505i | −0.217753 | + | 0.0639379i | ||||
\(222\) | 0.0162059 | + | 0.00684869i | 0.00108767 | + | 0.000459654i | ||||
\(223\) | 11.6504 | − | 6.57930i | 0.780171 | − | 0.440583i | −0.0495427 | − | 0.998772i | \(-0.515776\pi\) |
0.829714 | + | 0.558189i | \(0.188504\pi\) | |||||||
\(224\) | −28.3742 | − | 6.59813i | −1.89583 | − | 0.440856i | ||||
\(225\) | −7.35503 | + | 0.843911i | −0.490335 | + | 0.0562607i | ||||
\(226\) | 3.37330 | − | 4.93329i | 0.224388 | − | 0.328158i | ||||
\(227\) | −13.3096 | + | 0.761071i | −0.883390 | + | 0.0505141i | −0.492893 | − | 0.870090i | \(-0.664061\pi\) |
−0.390497 | + | 0.920604i | \(0.627697\pi\) | |||||||
\(228\) | −0.255780 | − | 0.656964i | −0.0169394 | − | 0.0435085i | ||||
\(229\) | −24.6291 | + | 4.26223i | −1.62754 | + | 0.281656i | −0.909920 | − | 0.414783i | \(-0.863857\pi\) |
−0.717615 | + | 0.696440i | \(0.754766\pi\) | |||||||
\(230\) | −2.02431 | + | 14.0794i | −0.133479 | + | 0.928369i | ||||
\(231\) | 1.28724 | + | 1.56378i | 0.0846942 | + | 0.102889i | ||||
\(232\) | 1.74594 | + | 12.1433i | 0.114627 | + | 0.797245i | ||||
\(233\) | −6.20172 | − | 19.0869i | −0.406288 | − | 1.25043i | −0.919815 | − | 0.392353i | \(-0.871661\pi\) |
0.513526 | − | 0.858074i | \(-0.328339\pi\) | |||||||
\(234\) | −5.74105 | − | 0.328285i | −0.375304 | − | 0.0214607i | ||||
\(235\) | 2.04443 | − | 2.65126i | 0.133364 | − | 0.172949i | ||||
\(236\) | 15.4059 | − | 6.51057i | 1.00284 | − | 0.423802i | ||||
\(237\) | 0.612061 | − | 0.500480i | 0.0397576 | − | 0.0325097i | ||||
\(238\) | −2.53325 | − | 4.80104i | −0.164206 | − | 0.311205i | ||||
\(239\) | 13.3055 | + | 9.66699i | 0.860659 | + | 0.625306i | 0.928064 | − | 0.372420i | \(-0.121472\pi\) |
−0.0674050 | + | 0.997726i | \(0.521472\pi\) | |||||||
\(240\) | −0.113409 | + | 0.188068i | −0.00732052 | + | 0.0121397i | ||||
\(241\) | −21.1169 | −1.36026 | −0.680129 | − | 0.733093i | \(-0.738076\pi\) | ||||
−0.680129 | + | 0.733093i | \(0.738076\pi\) | |||||||
\(242\) | 2.26003 | + | 8.37510i | 0.145280 | + | 0.538372i | ||||
\(243\) | −3.28619 | −0.210809 | ||||||||
\(244\) | −1.05859 | + | 1.75547i | −0.0677692 | + | 0.112383i | ||||
\(245\) | −39.4771 | − | 28.6818i | −2.52210 | − | 1.83241i | ||||
\(246\) | −0.0588395 | − | 0.111513i | −0.00375147 | − | 0.00710982i | ||||
\(247\) | −7.89575 | + | 6.45632i | −0.502395 | + | 0.410806i | ||||
\(248\) | −0.804304 | + | 0.339902i | −0.0510733 | + | 0.0215838i | ||||
\(249\) | 0.431360 | − | 0.559398i | 0.0273363 | − | 0.0354504i | ||||
\(250\) | 5.42598 | + | 0.310269i | 0.343169 | + | 0.0196231i | ||||
\(251\) | −1.26530 | − | 3.89419i | −0.0798649 | − | 0.245799i | 0.903150 | − | 0.429325i | \(-0.141249\pi\) |
−0.983015 | + | 0.183527i | \(0.941249\pi\) | |||||||
\(252\) | 2.91784 | + | 20.2940i | 0.183807 | + | 1.27840i | ||||
\(253\) | 2.56430 | + | 21.7221i | 0.161216 | + | 1.36566i | ||||
\(254\) | −1.92025 | + | 13.3556i | −0.120487 | + | 0.838005i | ||||
\(255\) | −0.456039 | + | 0.0789206i | −0.0285582 | + | 0.00494220i | ||||
\(256\) | 4.99377 | + | 12.8264i | 0.312111 | + | 0.801650i | ||||
\(257\) | −2.65690 | + | 0.151927i | −0.165733 | + | 0.00947696i | −0.139758 | − | 0.990186i | \(-0.544633\pi\) |
−0.0259747 | + | 0.999663i | \(0.508269\pi\) | |||||||
\(258\) | 0.536728 | − | 0.784940i | 0.0334152 | − | 0.0488682i | ||||
\(259\) | −0.901594 | + | 0.103448i | −0.0560224 | + | 0.00642797i | ||||
\(260\) | 8.96804 | + | 2.08543i | 0.556174 | + | 0.129333i | ||||
\(261\) | 11.9696 | − | 6.75955i | 0.740900 | − | 0.418405i | ||||
\(262\) | −2.34358 | − | 0.990404i | −0.144787 | − | 0.0611874i | ||||
\(263\) | 11.8152 | − | 3.46926i | 0.728556 | − | 0.213923i | 0.103640 | − | 0.994615i | \(-0.466951\pi\) |
0.624917 | + | 0.780691i | \(0.285133\pi\) | |||||||
\(264\) | 0.301605 | − | 1.03972i | 0.0185625 | − | 0.0639906i | ||||
\(265\) | 18.5842 | + | 5.45681i | 1.14162 | + | 0.335209i | ||||
\(266\) | −12.7042 | − | 10.3881i | −0.778942 | − | 0.636938i | ||||
\(267\) | 0.0817896 | − | 0.403648i | 0.00500544 | − | 0.0247028i | ||||
\(268\) | −6.93554 | + | 17.8138i | −0.423655 | + | 1.08815i | ||||
\(269\) | 4.54612 | − | 13.9915i | 0.277182 | − | 0.853078i | −0.711452 | − | 0.702735i | \(-0.751962\pi\) |
0.988634 | − | 0.150343i | \(-0.0480379\pi\) | |||||||
\(270\) | −1.55849 | − | 0.269708i | −0.0948469 | − | 0.0164139i | ||||
\(271\) | −2.02335 | − | 9.98562i | −0.122910 | − | 0.606583i | −0.993429 | − | 0.114449i | \(-0.963490\pi\) |
0.870519 | − | 0.492134i | \(-0.163783\pi\) | |||||||
\(272\) | 0.422379 | − | 0.800497i | 0.0256105 | − | 0.0485373i | ||||
\(273\) | −1.33877 | + | 0.658227i | −0.0810258 | + | 0.0398377i | ||||
\(274\) | 1.82587 | + | 3.99810i | 0.110305 | + | 0.241534i | ||||
\(275\) | −8.05659 | + | 1.65989i | −0.485831 | + | 0.100095i | ||||
\(276\) | 0.462601 | − | 1.01295i | 0.0278453 | − | 0.0609727i | ||||
\(277\) | −0.356914 | − | 12.4936i | −0.0214449 | − | 0.750670i | −0.937172 | − | 0.348868i | \(-0.886566\pi\) |
0.915727 | − | 0.401801i | \(-0.131616\pi\) | |||||||
\(278\) | −9.34863 | + | 9.61951i | −0.560693 | + | 0.576940i | ||||
\(279\) | 0.681876 | + | 0.701634i | 0.0408228 | + | 0.0420057i | ||||
\(280\) | −1.03699 | + | 36.2995i | −0.0619722 | + | 2.16931i | ||||
\(281\) | 7.06453 | + | 3.47339i | 0.421434 | + | 0.207205i | 0.639602 | − | 0.768706i | \(-0.279099\pi\) |
−0.218168 | + | 0.975911i | \(0.570008\pi\) | |||||||
\(282\) | 0.0956922 | − | 0.0695244i | 0.00569839 | − | 0.00414012i | ||||
\(283\) | −0.777832 | − | 9.05614i | −0.0462373 | − | 0.538332i | −0.982403 | − | 0.186773i | \(-0.940197\pi\) |
0.936166 | − | 0.351559i | \(-0.114348\pi\) | |||||||
\(284\) | −1.27815 | + | 4.86257i | −0.0758440 | + | 0.288540i | ||||
\(285\) | −1.17704 | + | 0.756439i | −0.0697219 | + | 0.0448076i | ||||
\(286\) | −6.38608 | + | 0.203316i | −0.377617 | + | 0.0120223i | ||||
\(287\) | 5.47121 | + | 3.51613i | 0.322955 | + | 0.207551i | ||||
\(288\) | 12.8537 | − | 11.7970i | 0.757410 | − | 0.695144i | ||||
\(289\) | −14.7004 | + | 3.41843i | −0.864728 | + | 0.201084i | ||||
\(290\) | 9.35495 | − | 3.33784i | 0.549342 | − | 0.196005i | ||||
\(291\) | 0.215887 | + | 0.821319i | 0.0126555 | + | 0.0481466i | ||||
\(292\) | −8.91461 | − | 8.18175i | −0.521688 | − | 0.478801i | ||||
\(293\) | −9.63147 | − | 5.43914i | −0.562677 | − | 0.317758i | 0.184020 | − | 0.982922i | \(-0.441089\pi\) |
−0.746697 | + | 0.665164i | \(0.768361\pi\) | |||||||
\(294\) | −1.05273 | − | 1.36520i | −0.0613963 | − | 0.0796202i | ||||
\(295\) | −18.7354 | − | 27.3997i | −1.09082 | − | 1.59527i | ||||
\(296\) | 0.317647 | + | 0.366584i | 0.0184628 | + | 0.0213073i | ||||
\(297\) | −2.42255 | + | 0.216047i | −0.140571 | + | 0.0125363i | ||||
\(298\) | 5.75406 | − | 6.64053i | 0.333324 | − | 0.384676i | ||||
\(299\) | −16.0055 | − | 1.83646i | −0.925620 | − | 0.106205i | ||||
\(300\) | 0.394434 | + | 0.140734i | 0.0227727 | + | 0.00812527i | ||||
\(301\) | −4.19736 | + | 48.8689i | −0.241932 | + | 2.81676i | ||||
\(302\) | −4.50066 | − | 7.46350i | −0.258984 | − | 0.429476i | ||||
\(303\) | −0.447969 | − | 0.742873i | −0.0257351 | − | 0.0426769i | ||||
\(304\) | 0.234152 | − | 2.72618i | 0.0134295 | − | 0.156357i | ||||
\(305\) | 3.83175 | + | 1.36717i | 0.219406 | + | 0.0782838i | ||||
\(306\) | 3.22986 | + | 0.370592i | 0.184639 | + | 0.0211853i | ||||
\(307\) | −6.40245 | + | 7.38882i | −0.365407 | + | 0.421702i | −0.908444 | − | 0.418007i | \(-0.862729\pi\) |
0.543037 | + | 0.839709i | \(0.317274\pi\) | |||||||
\(308\) | 5.23219 | + | 22.1716i | 0.298132 | + | 1.26335i | ||||
\(309\) | 1.39318 | + | 1.60782i | 0.0792555 | + | 0.0914657i | ||||
\(310\) | 0.399030 | + | 0.583563i | 0.0226634 | + | 0.0331442i | ||||
\(311\) | −19.8036 | − | 25.6817i | −1.12296 | − | 1.45628i | −0.872803 | − | 0.488072i | \(-0.837700\pi\) |
−0.250155 | − | 0.968206i | \(-0.580482\pi\) | |||||||
\(312\) | 0.694312 | + | 0.392096i | 0.0393077 | + | 0.0221981i | ||||
\(313\) | 19.9579 | + | 18.3172i | 1.12809 | + | 1.03535i | 0.999044 | + | 0.0437105i | \(0.0139179\pi\) |
0.129043 | + | 0.991639i | \(0.458809\pi\) | |||||||
\(314\) | −3.06034 | − | 11.6427i | −0.172705 | − | 0.657038i | ||||
\(315\) | 38.3236 | − | 13.6738i | 2.15929 | − | 0.770433i | ||||
\(316\) | 8.66135 | − | 2.01411i | 0.487239 | − | 0.113303i | ||||
\(317\) | −12.8611 | + | 11.8038i | −0.722349 | + | 0.662966i | −0.950523 | − | 0.310655i | \(-0.899452\pi\) |
0.228174 | + | 0.973620i | \(0.426724\pi\) | |||||||
\(318\) | 0.575661 | + | 0.369955i | 0.0322815 | + | 0.0207461i | ||||
\(319\) | 12.5797 | − | 8.66223i | 0.704329 | − | 0.484992i | ||||
\(320\) | 7.58937 | − | 4.87739i | 0.424259 | − | 0.272655i | ||||
\(321\) | −0.363446 | + | 1.38269i | −0.0202856 | + | 0.0771743i | ||||
\(322\) | −2.21824 | − | 25.8264i | −0.123617 | − | 1.43925i | ||||
\(323\) | 4.66502 | − | 3.38934i | 0.259569 | − | 0.188588i | ||||
\(324\) | −10.9635 | − | 5.39039i | −0.609084 | − | 0.299466i | ||||
\(325\) | 0.173013 | − | 6.05623i | 0.00959701 | − | 0.335939i | ||||
\(326\) | 4.72963 | + | 4.86668i | 0.261950 | + | 0.269540i | ||||
\(327\) | 0.310292 | − | 0.319283i | 0.0171592 | − | 0.0176564i | ||||
\(328\) | −0.0992656 | − | 3.47475i | −0.00548103 | − | 0.191861i | ||||
\(329\) | −2.53452 | + | 5.54983i | −0.139733 | + | 0.305972i | ||||
\(330\) | −0.873514 | − | 0.0721525i | −0.0480853 | − | 0.00397186i | ||||
\(331\) | −9.97421 | − | 21.8405i | −0.548232 | − | 1.20046i | −0.957602 | − | 0.288093i | \(-0.906979\pi\) |
0.409370 | − | 0.912368i | \(-0.365749\pi\) | |||||||
\(332\) | 7.12987 | − | 3.50552i | 0.391302 | − | 0.192390i | ||||
\(333\) | 0.253637 | − | 0.480695i | 0.0138992 | − | 0.0263419i | ||||
\(334\) | 0.0369705 | + | 0.182456i | 0.00202293 | + | 0.00998357i | ||||
\(335\) | 37.3828 | + | 6.46934i | 2.04244 | + | 0.353458i | ||||
\(336\) | 0.123674 | − | 0.380630i | 0.00674698 | − | 0.0207651i | ||||
\(337\) | −6.59507 | + | 16.9393i | −0.359257 | + | 0.922743i | 0.630006 | + | 0.776591i | \(0.283053\pi\) |
−0.989262 | + | 0.146152i | \(0.953311\pi\) | |||||||
\(338\) | −1.10135 | + | 5.43540i | −0.0599058 | + | 0.295647i | ||||
\(339\) | 0.718831 | + | 0.587785i | 0.0390416 | + | 0.0319241i | ||||
\(340\) | −4.99457 | − | 1.46654i | −0.270869 | − | 0.0795342i | ||||
\(341\) | 0.823889 | + | 0.709205i | 0.0446161 | + | 0.0384056i | ||||
\(342\) | 9.43020 | − | 2.76896i | 0.509927 | − | 0.149728i | ||||
\(343\) | 49.7733 | + | 21.0344i | 2.68750 | + | 1.13575i | ||||
\(344\) | 22.8278 | − | 12.8915i | 1.23079 | − | 0.695061i | ||||
\(345\) | −2.15260 | − | 0.500567i | −0.115892 | − | 0.0269496i | ||||
\(346\) | −16.5684 | + | 1.90105i | −0.890723 | + | 0.102201i | ||||
\(347\) | −4.94636 | + | 7.23381i | −0.265534 | + | 0.388332i | −0.935078 | − | 0.354441i | \(-0.884671\pi\) |
0.669544 | + | 0.742772i | \(0.266489\pi\) | |||||||
\(348\) | −0.776337 | + | 0.0443926i | −0.0416160 | + | 0.00237969i | ||||
\(349\) | 1.36207 | + | 3.49846i | 0.0729102 | + | 0.187268i | 0.963603 | − | 0.267337i | \(-0.0861438\pi\) |
−0.890693 | + | 0.454606i | \(0.849780\pi\) | |||||||
\(350\) | 9.60559 | − | 1.66231i | 0.513440 | − | 0.0888544i | ||||
\(351\) | 0.254943 | − | 1.77317i | 0.0136079 | − | 0.0946448i | ||||
\(352\) | 13.0609 | − | 14.3245i | 0.696150 | − | 0.763497i | ||||
\(353\) | 1.34373 | + | 9.34585i | 0.0715195 | + | 0.497429i | 0.993824 | + | 0.110966i | \(0.0353944\pi\) |
−0.922305 | + | 0.386464i | \(0.873697\pi\) | |||||||
\(354\) | −0.362380 | − | 1.11529i | −0.0192603 | − | 0.0592770i | ||||
\(355\) | 9.96185 | + | 0.569639i | 0.528720 | + | 0.0302333i | ||||
\(356\) | 2.82864 | − | 3.66824i | 0.149918 | − | 0.194417i | ||||
\(357\) | 0.776891 | − | 0.328317i | 0.0411175 | − | 0.0173764i | ||||
\(358\) | −3.24265 | + | 2.65151i | −0.171380 | + | 0.140136i | ||||
\(359\) | 14.4597 | + | 27.4041i | 0.763152 | + | 1.44633i | 0.890743 | + | 0.454508i | \(0.150185\pi\) |
−0.127590 | + | 0.991827i | \(0.540724\pi\) | |||||||
\(360\) | −17.5950 | − | 12.7835i | −0.927338 | − | 0.673750i | ||||
\(361\) | −0.809616 | + | 1.34260i | −0.0426114 | + | 0.0706630i | ||||
\(362\) | 10.3572 | 0.544364 | ||||||||
\(363\) | −1.32653 | + | 0.238502i | −0.0696248 | + | 0.0125181i | ||||
\(364\) | −16.7790 | −0.879459 | ||||||||
\(365\) | −12.4007 | + | 20.5643i | −0.649084 | + | 1.07638i | ||||
\(366\) | 0.116282 | + | 0.0844842i | 0.00607818 | + | 0.00441606i | ||||
\(367\) | −7.89164 | − | 14.9563i | −0.411940 | − | 0.780714i | 0.587656 | − | 0.809111i | \(-0.300051\pi\) |
−0.999597 | + | 0.0283970i | \(0.990960\pi\) | |||||||
\(368\) | 3.34585 | − | 2.73589i | 0.174414 | − | 0.142618i | ||||
\(369\) | −3.58780 | + | 1.51622i | −0.186773 | + | 0.0789310i | ||||
\(370\) | 0.239811 | − | 0.310993i | 0.0124672 | − | 0.0161678i | ||||
\(371\) | −35.2392 | − | 2.01505i | −1.82953 | − | 0.104616i | ||||
\(372\) | −0.0171027 | − | 0.0526367i | −0.000886734 | − | 0.00272909i | ||||
\(373\) | −2.00725 | − | 13.9607i | −0.103931 | − | 0.722859i | −0.973440 | − | 0.228942i | \(-0.926473\pi\) |
0.869509 | − | 0.493918i | \(-0.164436\pi\) | |||||||
\(374\) | 3.61109 | + | 0.0913560i | 0.186725 | + | 0.00472391i | ||||
\(375\) | −0.120174 | + | 0.835827i | −0.00620575 | + | 0.0431619i | ||||
\(376\) | 3.21329 | − | 0.556082i | 0.165713 | − | 0.0286777i | ||||
\(377\) | 4.08150 | + | 10.4832i | 0.210208 | + | 0.539914i | ||||
\(378\) | 2.87764 | − | 0.164550i | 0.148010 | − | 0.00846352i | ||||
\(379\) | −9.48392 | + | 13.8698i | −0.487156 | + | 0.712443i | −0.988232 | − | 0.152960i | \(-0.951120\pi\) |
0.501076 | + | 0.865403i | \(0.332938\pi\) | |||||||
\(380\) | −15.6341 | + | 1.79384i | −0.802011 | + | 0.0920221i | ||||
\(381\) | −2.04194 | − | 0.474833i | −0.104612 | − | 0.0243264i | ||||
\(382\) | 1.90431 | − | 1.07541i | 0.0974330 | − | 0.0550230i | ||||
\(383\) | −24.9504 | − | 10.5441i | −1.27491 | − | 0.538781i | −0.356456 | − | 0.934312i | \(-0.616015\pi\) |
−0.918452 | + | 0.395532i | \(0.870560\pi\) | |||||||
\(384\) | −1.06846 | + | 0.313729i | −0.0545248 | + | 0.0160099i | ||||
\(385\) | 41.0635 | − | 18.9154i | 2.09279 | − | 0.964020i | ||||
\(386\) | 7.29764 | + | 2.14278i | 0.371440 | + | 0.109065i | ||||
\(387\) | −22.7407 | − | 18.5949i | −1.15597 | − | 0.945234i | ||||
\(388\) | −1.89681 | + | 9.36115i | −0.0962962 | + | 0.475240i | ||||
\(389\) | 0.910128 | − | 2.33765i | 0.0461453 | − | 0.118523i | −0.906905 | − | 0.421335i | \(-0.861562\pi\) |
0.953050 | + | 0.302812i | \(0.0979253\pi\) | |||||||
\(390\) | 0.199494 | − | 0.613979i | 0.0101018 | − | 0.0310900i | ||||
\(391\) | 8.97478 | + | 1.55315i | 0.453874 | + | 0.0785460i | ||||
\(392\) | −9.43893 | − | 46.5830i | −0.476738 | − | 2.35279i | ||||
\(393\) | 0.184477 | − | 0.349622i | 0.00930561 | − | 0.0176361i | ||||
\(394\) | −3.33188 | + | 1.63818i | −0.167858 | + | 0.0825302i | ||||
\(395\) | −7.33127 | − | 16.0532i | −0.368876 | − | 0.807726i | ||||
\(396\) | −12.7298 | − | 4.90833i | −0.639696 | − | 0.246653i | ||||
\(397\) | −0.960909 | + | 2.10410i | −0.0482266 | + | 0.105602i | −0.932212 | − | 0.361914i | \(-0.882123\pi\) |
0.883985 | + | 0.467515i | \(0.154851\pi\) | |||||||
\(398\) | −0.292409 | − | 10.2356i | −0.0146571 | − | 0.513066i | ||||
\(399\) | 1.77702 | − | 1.82851i | 0.0889622 | − | 0.0915399i | ||||
\(400\) | 1.13279 | + | 1.16562i | 0.0566397 | + | 0.0582808i | ||||
\(401\) | 0.261471 | − | 9.15269i | 0.0130572 | − | 0.457063i | −0.966589 | − | 0.256331i | \(-0.917486\pi\) |
0.979646 | − | 0.200732i | \(-0.0643320\pi\) | |||||||
\(402\) | 1.20283 | + | 0.591390i | 0.0599915 | + | 0.0294958i | ||||
\(403\) | −0.647774 | + | 0.470636i | −0.0322679 | + | 0.0234440i | ||||
\(404\) | −0.834945 | − | 9.72109i | −0.0415401 | − | 0.483642i | ||||
\(405\) | −6.16378 | + | 23.4494i | −0.306280 | + | 1.16521i | ||||
\(406\) | −15.2273 | + | 9.78598i | −0.755717 | + | 0.485670i | ||||
\(407\) | 0.233259 | − | 0.557024i | 0.0115622 | − | 0.0276106i | ||||
\(408\) | −0.379239 | − | 0.243722i | −0.0187752 | − | 0.0120661i | ||||
\(409\) | 16.0804 | − | 14.7584i | 0.795123 | − | 0.729757i | −0.171716 | − | 0.985147i | \(-0.554931\pi\) |
0.966838 | + | 0.255390i | \(0.0822037\pi\) | |||||||
\(410\) | −2.74125 | + | 0.637450i | −0.135381 | + | 0.0314814i | ||||
\(411\) | −0.643190 | + | 0.229490i | −0.0317262 | + | 0.0113199i | ||||
\(412\) | 6.08294 | + | 23.1419i | 0.299685 | + | 1.14012i | ||||
\(413\) | 44.5647 | + | 40.9012i | 2.19289 | + | 2.01261i | ||||
\(414\) | 13.5178 | + | 7.63385i | 0.664363 | + | 0.375183i | ||||
\(415\) | −9.62859 | − | 12.4866i | −0.472649 | − | 0.612942i | ||||
\(416\) | 8.05911 | + | 11.7861i | 0.395131 | + | 0.577860i | ||||
\(417\) | −1.36482 | − | 1.57509i | −0.0668355 | − | 0.0771323i | ||||
\(418\) | 10.1632 | − | 3.99518i | 0.497099 | − | 0.195410i | ||||
\(419\) | 22.8226 | − | 26.3387i | 1.11496 | − | 1.28673i | 0.160946 | − | 0.986963i | \(-0.448546\pi\) |
0.954012 | − | 0.299767i | \(-0.0969090\pi\) | |||||||
\(420\) | −2.28675 | − | 0.262380i | −0.111582 | − | 0.0128028i | ||||
\(421\) | 27.0094 | + | 9.63694i | 1.31636 | + | 0.469676i | 0.898554 | − | 0.438862i | \(-0.144618\pi\) |
0.417803 | + | 0.908537i | \(0.362800\pi\) | |||||||
\(422\) | −0.485241 | + | 5.64955i | −0.0236211 | + | 0.275016i | ||||
\(423\) | −1.88691 | − | 3.12909i | −0.0917448 | − | 0.152142i | ||||
\(424\) | 9.74234 | + | 16.1559i | 0.473130 | + | 0.784598i | ||||
\(425\) | −0.293123 | + | 3.41277i | −0.0142185 | + | 0.165543i | ||||
\(426\) | 0.332022 | + | 0.118465i | 0.0160865 | + | 0.00573965i | ||||
\(427\) | −7.36566 | − | 0.845130i | −0.356449 | − | 0.0408987i | ||||
\(428\) | −10.5300 | + | 12.1523i | −0.508987 | + | 0.587402i | ||||
\(429\) | 0.0534354 | − | 0.991281i | 0.00257988 | − | 0.0478595i | ||||
\(430\) | −13.8997 | − | 16.0411i | −0.670303 | − | 0.773571i | ||||
\(431\) | 18.6444 | + | 27.2665i | 0.898068 | + | 1.31338i | 0.949194 | + | 0.314690i | \(0.101901\pi\) |
−0.0511265 | + | 0.998692i | \(0.516281\pi\) | |||||||
\(432\) | 0.293469 | + | 0.380577i | 0.0141195 | + | 0.0183105i | ||||
\(433\) | −29.4893 | − | 16.6534i | −1.41717 | − | 0.800311i | −0.422792 | − | 0.906227i | \(-0.638950\pi\) |
−0.994375 | + | 0.105916i | \(0.966223\pi\) | |||||||
\(434\) | −0.949147 | − | 0.871120i | −0.0455605 | − | 0.0418151i | ||||
\(435\) | 0.392321 | + | 1.49254i | 0.0188104 | + | 0.0715620i | ||||
\(436\) | 4.71632 | − | 1.68278i | 0.225871 | − | 0.0805906i | ||||
\(437\) | 26.8195 | − | 6.23662i | 1.28295 | − | 0.298338i | ||||
\(438\) | −0.625052 | + | 0.573667i | −0.0298661 | + | 0.0274109i | ||||
\(439\) | 26.6148 | + | 17.1043i | 1.27025 | + | 0.816343i | 0.989653 | − | 0.143482i | \(-0.0458299\pi\) |
0.280601 | + | 0.959825i | \(0.409466\pi\) | |||||||
\(440\) | −20.7343 | − | 12.4110i | −0.988467 | − | 0.591673i | ||||
\(441\) | −44.8023 | + | 28.7927i | −2.13344 | + | 1.37108i | ||||
\(442\) | −0.676371 | + | 2.57318i | −0.0321717 | + | 0.122394i | ||||
\(443\) | −1.16592 | − | 13.5746i | −0.0553946 | − | 0.644948i | −0.970400 | − | 0.241505i | \(-0.922359\pi\) |
0.915005 | − | 0.403443i | \(-0.132187\pi\) | |||||||
\(444\) | −0.0248733 | + | 0.0180715i | −0.00118043 | + | 0.000857636i | ||||
\(445\) | −8.24988 | − | 4.05619i | −0.391082 | − | 0.192282i | ||||
\(446\) | 0.301307 | − | 10.5471i | 0.0142673 | − | 0.499421i | ||||
\(447\) | 0.951462 | + | 0.979031i | 0.0450026 | + | 0.0463066i | ||||
\(448\) | −11.4579 | + | 11.7899i | −0.541336 | + | 0.557022i | ||||
\(449\) | −0.0361281 | − | 1.26465i | −0.00170499 | − | 0.0596825i | −0.999999 | − | 0.00129790i | \(-0.999587\pi\) |
0.998294 | − | 0.0583845i | \(-0.0185950\pi\) | |||||||
\(450\) | −2.42531 | + | 5.31069i | −0.114330 | + | 0.250348i | ||||
\(451\) | −3.82100 | + | 2.03212i | −0.179924 | + | 0.0956888i | ||||
\(452\) | 4.33846 | + | 9.49991i | 0.204064 | + | 0.446838i | ||||
\(453\) | 1.21520 | − | 0.597476i | 0.0570953 | − | 0.0280719i | ||||
\(454\) | −4.90617 | + | 9.29823i | −0.230258 | + | 0.436387i | ||||
\(455\) | 6.61303 | + | 32.6366i | 0.310024 | + | 1.53003i | ||||
\(456\) | −1.34287 | − | 0.232393i | −0.0628857 | − | 0.0108828i | ||||
\(457\) | 6.16386 | − | 18.9704i | 0.288333 | − | 0.887399i | −0.697046 | − | 0.717026i | \(-0.745503\pi\) |
0.985380 | − | 0.170373i | \(-0.0544971\pi\) | |||||||
\(458\) | −7.15144 | + | 18.3683i | −0.334165 | + | 0.858295i | ||||
\(459\) | −0.201129 | + | 0.992612i | −0.00938791 | + | 0.0463311i | ||||
\(460\) | −19.2428 | − | 15.7347i | −0.897199 | − | 0.733636i | ||||
\(461\) | 26.7436 | + | 7.85264i | 1.24558 | + | 0.365734i | 0.837107 | − | 0.547039i | \(-0.184245\pi\) |
0.408468 | + | 0.912773i | \(0.366063\pi\) | |||||||
\(462\) | 1.58026 | − | 0.232479i | 0.0735205 | − | 0.0108159i | ||||
\(463\) | −3.85988 | + | 1.13336i | −0.179384 | + | 0.0526718i | −0.370191 | − | 0.928956i | \(-0.620708\pi\) |
0.190807 | + | 0.981628i | \(0.438890\pi\) | |||||||
\(464\) | −2.77996 | − | 1.17482i | −0.129056 | − | 0.0545397i | ||||
\(465\) | −0.0956422 | + | 0.0540116i | −0.00443530 | + | 0.00250473i | ||||
\(466\) | −15.4154 | − | 3.58470i | −0.714105 | − | 0.166058i | ||||
\(467\) | −22.2549 | + | 2.55351i | −1.02983 | + | 0.118162i | −0.612402 | − | 0.790547i | \(-0.709797\pi\) |
−0.417430 | + | 0.908709i | \(0.637069\pi\) | |||||||
\(468\) | 5.67205 | − | 8.29511i | 0.262191 | − | 0.383442i | ||||
\(469\) | −69.0245 | + | 3.94697i | −3.18726 | + | 0.182254i | ||||
\(470\) | −0.957895 | − | 2.46033i | −0.0441844 | − | 0.113487i | ||||
\(471\) | 1.84301 | − | 0.318945i | 0.0849214 | − | 0.0146962i | ||||
\(472\) | 4.60120 | − | 32.0020i | 0.211787 | − | 1.47301i | ||||
\(473\) | −27.0026 | − | 18.3347i | −1.24158 | − | 0.843032i | ||||
\(474\) | −0.0887330 | − | 0.617152i | −0.00407564 | − | 0.0283467i | ||||
\(475\) | 3.19993 | + | 9.84837i | 0.146823 | + | 0.451874i | ||||
\(476\) | 9.47067 | + | 0.541552i | 0.434087 | + | 0.0248220i | ||||
\(477\) | 12.9086 | − | 16.7402i | 0.591045 | − | 0.766480i | ||||
\(478\) | 11.9468 | − | 5.04876i | 0.546434 | − | 0.230925i | ||||
\(479\) | −4.15773 | + | 3.39976i | −0.189972 | + | 0.155339i | −0.723215 | − | 0.690623i | \(-0.757337\pi\) |
0.533244 | + | 0.845962i | \(0.320973\pi\) | |||||||
\(480\) | 0.914042 | + | 1.73230i | 0.0417201 | + | 0.0790684i | ||||
\(481\) | 0.359847 | + | 0.261444i | 0.0164076 | + | 0.0119208i | ||||
\(482\) | −8.59953 | + | 14.2607i | −0.391698 | + | 0.649558i | ||||
\(483\) | 4.02748 | 0.183257 | ||||||||
\(484\) | −14.5726 | − | 4.17569i | −0.662392 | − | 0.189804i | ||||
\(485\) | 18.9558 | 0.860739 | ||||||||
\(486\) | −1.33825 | + | 2.21924i | −0.0607044 | + | 0.100667i | ||||
\(487\) | −6.65299 | − | 4.83368i | −0.301476 | − | 0.219035i | 0.426755 | − | 0.904367i | \(-0.359657\pi\) |
−0.728230 | + | 0.685333i | \(0.759657\pi\) | |||||||
\(488\) | 1.84928 | + | 3.50478i | 0.0837131 | + | 0.158654i | ||||
\(489\) | −0.816256 | + | 0.667449i | −0.0369124 | + | 0.0301831i | ||||
\(490\) | −35.4459 | + | 14.9796i | −1.60128 | + | 0.676708i | ||||
\(491\) | 1.05527 | − | 1.36849i | 0.0476235 | − | 0.0617593i | −0.767488 | − | 0.641063i | \(-0.778494\pi\) |
0.815112 | + | 0.579304i | \(0.196676\pi\) | |||||||
\(492\) | 0.219974 | + | 0.0125786i | 0.00991721 | + | 0.000567086i | ||||
\(493\) | −1.96539 | − | 6.04885i | −0.0885167 | − | 0.272426i | ||||
\(494\) | 1.14468 | + | 7.96143i | 0.0515016 | + | 0.358201i | ||||
\(495\) | −4.52999 | + | 26.6950i | −0.203608 | + | 1.19985i | ||||
\(496\) | 0.0305699 | − | 0.212618i | 0.00137263 | − | 0.00954684i | ||||
\(497\) | −17.9174 | + | 3.10072i | −0.803704 | + | 0.139086i | ||||
\(498\) | −0.202109 | − | 0.519114i | −0.00905674 | − | 0.0232620i | ||||
\(499\) | 11.5262 | − | 0.659090i | 0.515982 | − | 0.0295049i | 0.202841 | − | 0.979212i | \(-0.434982\pi\) |
0.313141 | + | 0.949707i | \(0.398619\pi\) | |||||||
\(500\) | −5.36077 | + | 7.83987i | −0.239741 | + | 0.350610i | ||||
\(501\) | −0.0287362 | + | 0.00329717i | −0.00128384 | + | 0.000147307i | ||||
\(502\) | −3.14511 | − | 0.731363i | −0.140373 | − | 0.0326423i | ||||
\(503\) | −0.877511 | + | 0.495553i | −0.0391263 | + | 0.0220956i | −0.511172 | − | 0.859478i | \(-0.670788\pi\) |
0.472046 | + | 0.881574i | \(0.343516\pi\) | |||||||
\(504\) | 36.5075 | + | 15.4282i | 1.62617 | + | 0.687227i | ||||
\(505\) | −18.5793 | + | 5.45536i | −0.826766 | + | 0.242760i | ||||
\(506\) | 15.7137 | + | 7.11427i | 0.698560 | + | 0.316268i | ||||
\(507\) | −0.826767 | − | 0.242761i | −0.0367180 | − | 0.0107814i | ||||
\(508\) | −18.2535 | − | 14.9258i | −0.809869 | − | 0.662227i | ||||
\(509\) | −6.25512 | + | 30.8702i | −0.277253 | + | 1.36830i | 0.563158 | + | 0.826349i | \(0.309586\pi\) |
−0.840411 | + | 0.541949i | \(0.817687\pi\) | |||||||
\(510\) | −0.132418 | + | 0.340113i | −0.00586356 | + | 0.0150604i | ||||
\(511\) | 13.5232 | − | 41.6200i | 0.598230 | − | 1.84116i | ||||
\(512\) | −7.21487 | − | 1.24858i | −0.318855 | − | 0.0551800i | ||||
\(513\) | 0.608038 | + | 3.00079i | 0.0268455 | + | 0.132488i | ||||
\(514\) | −0.979384 | + | 1.85614i | −0.0431988 | + | 0.0818708i | ||||
\(515\) | 42.6155 | − | 20.9526i | 1.87786 | − | 0.923284i | ||||
\(516\) | 0.690296 | + | 1.51154i | 0.0303886 | + | 0.0665418i | ||||
\(517\) | −2.39710 | − | 3.27676i | −0.105424 | − | 0.144112i | ||||
\(518\) | −0.297300 | + | 0.650995i | −0.0130626 | + | 0.0286031i | ||||
\(519\) | −0.0739931 | − | 2.59010i | −0.00324794 | − | 0.113693i | ||||
\(520\) | 12.4045 | − | 12.7640i | 0.543974 | − | 0.559736i | ||||
\(521\) | −7.86592 | − | 8.09384i | −0.344612 | − | 0.354598i | 0.522563 | − | 0.852601i | \(-0.324976\pi\) |
−0.867175 | + | 0.498003i | \(0.834067\pi\) | |||||||
\(522\) | 0.309562 | − | 10.8361i | 0.0135491 | − | 0.474282i | ||||
\(523\) | −6.66062 | − | 3.27481i | −0.291248 | − | 0.143197i | 0.289749 | − | 0.957103i | \(-0.406428\pi\) |
−0.580997 | + | 0.813905i | \(0.697337\pi\) | |||||||
\(524\) | 3.59698 | − | 2.61336i | 0.157135 | − | 0.114165i | ||||
\(525\) | 0.129614 | + | 1.50907i | 0.00565681 | + | 0.0658610i | ||||
\(526\) | 2.46869 | − | 9.39188i | 0.107640 | − | 0.409505i | ||||
\(527\) | 0.380817 | − | 0.244736i | 0.0165886 | − | 0.0106609i | ||||
\(528\) | 0.180719 | + | 0.195620i | 0.00786478 | + | 0.00851326i | ||||
\(529\) | 17.2400 | + | 11.0795i | 0.749567 | + | 0.481717i | ||||
\(530\) | 11.2532 | − | 10.3281i | 0.488810 | − | 0.448626i | ||||
\(531\) | −35.2853 | + | 8.20525i | −1.53125 | + | 0.356078i | ||||
\(532\) | 27.0100 | − | 9.63714i | 1.17103 | − | 0.417823i | ||||
\(533\) | −0.810348 | − | 3.08288i | −0.0351001 | − | 0.133534i | ||||
\(534\) | −0.239285 | − | 0.219614i | −0.0103549 | − | 0.00950362i | ||||
\(535\) | 27.7873 | + | 15.6922i | 1.20135 | + | 0.678434i | ||||
\(536\) | 22.5656 | + | 29.2636i | 0.974687 | + | 1.26400i | ||||
\(537\) | −0.367344 | − | 0.537223i | −0.0158521 | − | 0.0231829i | ||||
\(538\) | −7.59746 | − | 8.76793i | −0.327550 | − | 0.378012i | ||||
\(539\) | −46.7414 | + | 36.2871i | −2.01329 | + | 1.56300i | ||||
\(540\) | 1.81001 | − | 2.08886i | 0.0778905 | − | 0.0898904i | ||||
\(541\) | 3.90040 | + | 0.447529i | 0.167691 | + | 0.0192408i | 0.197430 | − | 0.980317i | \(-0.436740\pi\) |
−0.0297391 | + | 0.999558i | \(0.509468\pi\) | |||||||
\(542\) | −7.56750 | − | 2.70008i | −0.325052 | − | 0.115978i | ||||
\(543\) | −0.137709 | + | 1.60332i | −0.00590967 | + | 0.0688050i | ||||
\(544\) | −4.16845 | − | 6.91259i | −0.178721 | − | 0.296375i | ||||
\(545\) | −5.13197 | − | 8.51042i | −0.219829 | − | 0.364546i | ||||
\(546\) | −0.100676 | + | 1.17215i | −0.00430855 | + | 0.0501635i | ||||
\(547\) | 0.536814 | + | 0.191535i | 0.0229525 | + | 0.00818943i | 0.347501 | − | 0.937680i | \(-0.387030\pi\) |
−0.324548 | + | 0.945869i | \(0.605212\pi\) | |||||||
\(548\) | −7.63075 | − | 0.875546i | −0.325969 | − | 0.0374015i | ||||
\(549\) | 2.90773 | − | 3.35570i | 0.124099 | − | 0.143218i | ||||
\(550\) | −2.15996 | + | 6.11677i | −0.0921010 | + | 0.260820i | ||||
\(551\) | −12.5913 | − | 14.5311i | −0.536408 | − | 0.619047i | ||||
\(552\) | −1.21506 | − | 1.77697i | −0.0517164 | − | 0.0756328i | ||||
\(553\) | 19.6391 | + | 25.4684i | 0.835138 | + | 1.08303i | ||||
\(554\) | −8.58259 | − | 4.84681i | −0.364639 | − | 0.205921i | ||||
\(555\) | 0.0449538 | + | 0.0412582i | 0.00190818 | + | 0.00175131i | ||||
\(556\) | −5.95909 | − | 22.6707i | −0.252722 | − | 0.961454i | ||||
\(557\) | 12.0597 | − | 4.30288i | 0.510984 | − | 0.182319i | −0.0679568 | − | 0.997688i | \(-0.521648\pi\) |
0.578941 | + | 0.815369i | \(0.303466\pi\) | |||||||
\(558\) | 0.751513 | − | 0.174757i | 0.0318141 | − | 0.00739805i | ||||
\(559\) | 17.7114 | − | 16.2553i | 0.749111 | − | 0.687528i | ||||
\(560\) | −7.51530 | − | 4.82979i | −0.317579 | − | 0.204096i | ||||
\(561\) | −0.0621550 | + | 0.557789i | −0.00262418 | + | 0.0235499i | ||||
\(562\) | 5.22259 | − | 3.35635i | 0.220302 | − | 0.141579i | ||||
\(563\) | −2.60279 | + | 9.90204i | −0.109695 | + | 0.417321i | −0.999217 | − | 0.0395705i | \(-0.987401\pi\) |
0.889522 | + | 0.456892i | \(0.151037\pi\) | |||||||
\(564\) | 0.0176883 | + | 0.205941i | 0.000744810 | + | 0.00867167i | ||||
\(565\) | 16.7682 | − | 12.1828i | 0.705444 | − | 0.512535i | ||||
\(566\) | −6.43258 | − | 3.16269i | −0.270382 | − | 0.132938i | ||||
\(567\) | 1.26174 | − | 44.1668i | 0.0529882 | − | 1.85483i | ||||
\(568\) | 6.77361 | + | 6.96988i | 0.284214 | + | 0.292450i | ||||
\(569\) | 22.2533 | − | 22.8981i | 0.932906 | − | 0.959938i | −0.0663772 | − | 0.997795i | \(-0.521144\pi\) |
0.999283 | + | 0.0378570i | \(0.0120532\pi\) | |||||||
\(570\) | 0.0315082 | + | 1.10293i | 0.00131973 | + | 0.0461967i | ||||
\(571\) | 4.65849 | − | 10.2007i | 0.194952 | − | 0.426885i | −0.786760 | − | 0.617259i | \(-0.788243\pi\) |
0.981712 | + | 0.190375i | \(0.0609702\pi\) | |||||||
\(572\) | 5.45860 | − | 9.74010i | 0.228236 | − | 0.407254i | ||||
\(573\) | 0.141156 | + | 0.309090i | 0.00589690 | + | 0.0129124i | ||||
\(574\) | 4.60259 | − | 2.26294i | 0.192108 | − | 0.0944534i | ||||
\(575\) | −7.63309 | + | 14.4663i | −0.318322 | + | 0.603287i | ||||
\(576\) | −1.95535 | − | 9.65002i | −0.0814728 | − | 0.402084i | ||||
\(577\) | 4.72024 | + | 0.816870i | 0.196506 | + | 0.0340068i | 0.267925 | − | 0.963440i | \(-0.413662\pi\) |
−0.0714192 | + | 0.997446i | \(0.522753\pi\) | |||||||
\(578\) | −3.67796 | + | 11.3196i | −0.152983 | + | 0.470834i | ||||
\(579\) | −0.428736 | + | 1.10120i | −0.0178176 | + | 0.0457642i | ||||
\(580\) | −3.44699 | + | 17.0116i | −0.143129 | + | 0.706367i | ||||
\(581\) | 22.2446 | + | 18.1893i | 0.922863 | + | 0.754621i | ||||
\(582\) | 0.642572 | + | 0.188676i | 0.0266355 | + | 0.00782088i | ||||
\(583\) | 12.6339 | − | 19.8006i | 0.523241 | − | 0.820056i | ||||
\(584\) | −22.4431 | + | 6.58988i | −0.928700 | + | 0.272691i | ||||
\(585\) | −18.3702 | − | 7.76330i | −0.759514 | − | 0.320973i | ||||
\(586\) | −7.59545 | + | 4.28935i | −0.313765 | + | 0.177191i | ||||
\(587\) | 20.0704 | + | 4.66718i | 0.828395 | + | 0.192635i | 0.619194 | − | 0.785238i | \(-0.287459\pi\) |
0.209201 | + | 0.977873i | \(0.432914\pi\) | |||||||
\(588\) | 2.99298 | − | 0.343413i | 0.123429 | − | 0.0141621i | ||||
\(589\) | 0.772441 | − | 1.12966i | 0.0318279 | − | 0.0465468i | ||||
\(590\) | −26.1334 | + | 1.49436i | −1.07589 | + | 0.0615218i | ||||
\(591\) | −0.209292 | − | 0.537563i | −0.00860914 | − | 0.0221124i | ||||
\(592\) | −0.117579 | + | 0.0203478i | −0.00483246 | + | 0.000836290i | ||||
\(593\) | −2.14410 | + | 14.9126i | −0.0880477 | + | 0.612385i | 0.897248 | + | 0.441527i | \(0.145563\pi\) |
−0.985296 | + | 0.170858i | \(0.945346\pi\) | |||||||
\(594\) | −0.840645 | + | 1.72398i | −0.0344921 | + | 0.0707360i | ||||
\(595\) | −2.67926 | − | 18.6347i | −0.109839 | − | 0.763947i | ||||
\(596\) | 4.74490 | + | 14.6033i | 0.194359 | + | 0.598174i | ||||
\(597\) | 1.58838 | + | 0.0908271i | 0.0650083 | + | 0.00371731i | ||||
\(598\) | −7.75818 | + | 10.0610i | −0.317256 | + | 0.411424i | ||||
\(599\) | 15.9496 | − | 6.74037i | 0.651684 | − | 0.275404i | −0.0382586 | − | 0.999268i | \(-0.512181\pi\) |
0.689943 | + | 0.723864i | \(0.257636\pi\) | |||||||
\(600\) | 0.626713 | − | 0.512461i | 0.0255855 | − | 0.0209211i | ||||
\(601\) | −15.3522 | − | 29.0957i | −0.626230 | − | 1.18684i | −0.968917 | − | 0.247387i | \(-0.920428\pi\) |
0.342687 | − | 0.939450i | \(-0.388663\pi\) | |||||||
\(602\) | 31.2930 | + | 22.7357i | 1.27541 | + | 0.926638i | ||||
\(603\) | 21.3821 | − | 35.4582i | 0.870746 | − | 1.44397i | ||||
\(604\) | 15.2304 | 0.619716 | ||||||||
\(605\) | −2.37863 | + | 29.9907i | −0.0967051 | + | 1.21930i | ||||
\(606\) | −0.684108 | −0.0277900 | ||||||||
\(607\) | −4.17898 | + | 6.93007i | −0.169620 | + | 0.281283i | −0.929531 | − | 0.368744i | \(-0.879788\pi\) |
0.759911 | + | 0.650027i | \(0.225242\pi\) | |||||||
\(608\) | −19.7426 | − | 14.3438i | −0.800666 | − | 0.581718i | ||||
\(609\) | −1.31243 | − | 2.48733i | −0.0531822 | − | 0.100792i | ||||
\(610\) | 2.48370 | − | 2.03091i | 0.100562 | − | 0.0822293i | ||||
\(611\) | 2.75448 | − | 1.16405i | 0.111434 | − | 0.0470926i | ||||
\(612\) | −3.46924 | + | 4.49899i | −0.140236 | + | 0.181861i | ||||
\(613\) | −9.75012 | − | 0.557532i | −0.393804 | − | 0.0225185i | −0.140934 | − | 0.990019i | \(-0.545011\pi\) |
−0.252869 | + | 0.967500i | \(0.581374\pi\) | |||||||
\(614\) | 2.38254 | + | 7.33270i | 0.0961515 | + | 0.295924i | ||||
\(615\) | −0.0622310 | − | 0.432826i | −0.00250940 | − | 0.0174532i | ||||
\(616\) | 41.9260 | + | 13.4713i | 1.68925 | + | 0.542775i | ||||
\(617\) | −5.95462 | + | 41.4153i | −0.239724 | + | 1.66732i | 0.413767 | + | 0.910383i | \(0.364213\pi\) |
−0.653491 | + | 0.756934i | \(0.726696\pi\) | |||||||
\(618\) | 1.65315 | − | 0.286089i | 0.0664995 | − | 0.0115082i | ||||
\(619\) | 16.2301 | + | 41.6866i | 0.652342 | + | 1.67553i | 0.734244 | + | 0.678886i | \(0.237537\pi\) |
−0.0819019 | + | 0.996640i | \(0.526099\pi\) | |||||||
\(620\) | −1.23338 | + | 0.0705271i | −0.0495337 | + | 0.00283244i | ||||
\(621\) | −2.72978 | + | 3.99218i | −0.109542 | + | 0.160200i | ||||
\(622\) | −25.4082 | + | 2.91532i | −1.01878 | + | 0.116894i | ||||
\(623\) | 16.3177 | + | 3.79452i | 0.653756 | + | 0.152024i | ||||
\(624\) | −0.170803 | + | 0.0964571i | −0.00683761 | + | 0.00386137i | ||||
\(625\) | 28.7848 | + | 12.1645i | 1.15139 | + | 0.486582i | ||||
\(626\) | 20.4976 | − | 6.01863i | 0.819248 | − | 0.240553i | ||||
\(627\) | 0.483331 | + | 1.62640i | 0.0193024 | + | 0.0649523i | ||||
\(628\) | 20.1848 | + | 5.92679i | 0.805460 | + | 0.236505i | ||||
\(629\) | −0.194672 | − | 0.159182i | −0.00776208 | − | 0.00634702i | ||||
\(630\) | 6.37245 | − | 31.4493i | 0.253884 | − | 1.25297i | ||||
\(631\) | 6.37047 | − | 16.3624i | 0.253605 | − | 0.651378i | −0.746294 | − | 0.665616i | \(-0.768169\pi\) |
0.999899 | + | 0.0142383i | \(0.00453235\pi\) | |||||||
\(632\) | 5.31198 | − | 16.3486i | 0.211299 | − | 0.650313i | ||||
\(633\) | −0.868110 | − | 0.150232i | −0.0345043 | − | 0.00597120i | ||||
\(634\) | 2.73389 | + | 13.4923i | 0.108577 | + | 0.535847i | ||||
\(635\) | −21.8378 | + | 41.3873i | −0.866607 | + | 1.64240i | ||||
\(636\) | −1.07311 | + | 0.527613i | −0.0425516 | + | 0.0209212i | ||||
\(637\) | −18.1055 | − | 39.6455i | −0.717366 | − | 1.57081i | ||||
\(638\) | −0.726907 | − | 12.0229i | −0.0287785 | − | 0.475993i | ||||
\(639\) | 4.52395 | − | 9.90607i | 0.178965 | − | 0.391878i | ||||
\(640\) | 0.709804 | + | 24.8464i | 0.0280575 | + | 0.982140i | ||||
\(641\) | 27.0486 | − | 27.8323i | 1.06835 | − | 1.09931i | 0.0735718 | − | 0.997290i | \(-0.476560\pi\) |
0.994782 | − | 0.102021i | \(-0.0325307\pi\) | |||||||
\(642\) | 0.785755 | + | 0.808523i | 0.0310113 | + | 0.0319099i | ||||
\(643\) | −0.388776 | + | 13.6089i | −0.0153318 | + | 0.536684i | 0.955234 | + | 0.295850i | \(0.0956028\pi\) |
−0.970566 | + | 0.240834i | \(0.922579\pi\) | |||||||
\(644\) | 40.6505 | + | 19.9865i | 1.60185 | + | 0.787578i | ||||
\(645\) | 2.66801 | − | 1.93842i | 0.105053 | − | 0.0763252i | ||||
\(646\) | −0.389138 | − | 4.53066i | −0.0153104 | − | 0.178256i | ||||
\(647\) | 1.46261 | − | 5.56435i | 0.0575012 | − | 0.218757i | −0.932191 | − | 0.361966i | \(-0.882106\pi\) |
0.989693 | + | 0.143209i | \(0.0457420\pi\) | |||||||
\(648\) | −19.8675 | + | 12.7681i | −0.780471 | + | 0.501578i | ||||
\(649\) | −38.2408 | + | 12.5634i | −1.50108 | + | 0.493158i | ||||
\(650\) | −4.01945 | − | 2.58315i | −0.157656 | − | 0.101319i | ||||
\(651\) | 0.147471 | − | 0.135347i | 0.00577983 | − | 0.00530468i | ||||
\(652\) | −11.5509 | + | 2.68606i | −0.452370 | + | 0.105194i | ||||
\(653\) | 1.92061 | − | 0.685273i | 0.0751594 | − | 0.0268168i | −0.298202 | − | 0.954503i | \(-0.596387\pi\) |
0.373361 | + | 0.927686i | \(0.378205\pi\) | |||||||
\(654\) | −0.0892576 | − | 0.339571i | −0.00349025 | − | 0.0132783i | ||||
\(655\) | −6.50087 | − | 5.96644i | −0.254010 | − | 0.233128i | ||||
\(656\) | 0.744618 | + | 0.420505i | 0.0290724 | + | 0.0164180i | ||||
\(657\) | 16.0044 | + | 20.7549i | 0.624393 | + | 0.809727i | ||||
\(658\) | 2.71578 | + | 3.97170i | 0.105872 | + | 0.154833i | ||||
\(659\) | −7.39095 | − | 8.52961i | −0.287910 | − | 0.332266i | 0.593308 | − | 0.804975i | \(-0.297822\pi\) |
−0.881219 | + | 0.472709i | \(0.843276\pi\) | |||||||
\(660\) | 0.896241 | − | 1.24208i | 0.0348861 | − | 0.0483480i | ||||
\(661\) | 2.04453 | − | 2.35951i | 0.0795230 | − | 0.0917744i | −0.714594 | − | 0.699540i | \(-0.753388\pi\) |
0.794117 | + | 0.607765i | \(0.207934\pi\) | |||||||
\(662\) | −18.8112 | − | 2.15839i | −0.731119 | − | 0.0838881i | ||||
\(663\) | −0.389341 | − | 0.138916i | −0.0151207 | − | 0.00539507i | ||||
\(664\) | 1.31430 | − | 15.3022i | 0.0510049 | − | 0.593839i | ||||
\(665\) | −29.3903 | − | 48.7384i | −1.13971 | − | 1.88999i | ||||
\(666\) | −0.221335 | − | 0.367043i | −0.00857655 | − | 0.0142226i | ||||
\(667\) | 2.59899 | − | 30.2594i | 0.100633 | − | 1.17165i | ||||
\(668\) | −0.306404 | − | 0.109325i | −0.0118551 | − | 0.00422991i | ||||
\(669\) | 1.62871 | + | 0.186877i | 0.0629696 | + | 0.00722508i | ||||
\(670\) | 19.5925 | − | 22.6109i | 0.756923 | − | 0.873536i | ||||
\(671\) | 2.88681 | − | 4.00077i | 0.111444 | − | 0.154448i | ||||
\(672\) | −2.33744 | − | 2.69755i | −0.0901688 | − | 0.104060i | ||||
\(673\) | 5.30031 | + | 7.75145i | 0.204312 | + | 0.298796i | 0.913996 | − | 0.405724i | \(-0.132980\pi\) |
−0.709684 | + | 0.704520i | \(0.751162\pi\) | |||||||
\(674\) | 8.75376 | + | 11.3521i | 0.337182 | + | 0.437266i | ||||
\(675\) | −1.58369 | − | 0.894351i | −0.0609562 | − | 0.0344236i | ||||
\(676\) | −7.14008 | − | 6.55311i | −0.274619 | − | 0.252043i | ||||
\(677\) | −0.874222 | − | 3.32589i | −0.0335991 | − | 0.127824i | 0.948233 | − | 0.317575i | \(-0.102868\pi\) |
−0.981832 | + | 0.189751i | \(0.939232\pi\) | |||||||
\(678\) | 0.689678 | − | 0.246077i | 0.0264869 | − | 0.00945052i | ||||
\(679\) | −33.6465 | + | 7.82415i | −1.29123 | + | 0.300263i | ||||
\(680\) | −7.41352 | + | 6.80406i | −0.284295 | + | 0.260924i | ||||
\(681\) | −1.37415 | − | 0.883113i | −0.0526576 | − | 0.0338410i | ||||
\(682\) | 0.814459 | − | 0.267578i | 0.0311872 | − | 0.0102461i | ||||
\(683\) | −6.35069 | + | 4.08134i | −0.243003 | + | 0.156168i | −0.656474 | − | 0.754349i | \(-0.727953\pi\) |
0.413471 | + | 0.910517i | \(0.364316\pi\) | |||||||
\(684\) | −4.36622 | + | 16.6108i | −0.166947 | + | 0.635130i | ||||
\(685\) | 1.30446 | + | 15.1875i | 0.0498407 | + | 0.580285i | ||||
\(686\) | 34.4744 | − | 25.0471i | 1.31624 | − | 0.956303i | ||||
\(687\) | −2.74837 | − | 1.35128i | −0.104857 | − | 0.0515546i | ||||
\(688\) | −0.184167 | + | 6.44670i | −0.00702132 | + | 0.245778i | ||||
\(689\) | 12.0569 | + | 12.4063i | 0.459333 | + | 0.472643i | ||||
\(690\) | −1.21466 | + | 1.24986i | −0.0462413 | + | 0.0475812i | ||||
\(691\) | 0.880217 | + | 30.8116i | 0.0334850 | + | 1.17213i | 0.826503 | + | 0.562932i | \(0.190327\pi\) |
−0.793018 | + | 0.609198i | \(0.791492\pi\) | |||||||
\(692\) | 12.1066 | − | 26.5098i | 0.460224 | − | 1.00775i | ||||
\(693\) | −2.97785 | − | 49.2533i | −0.113119 | − | 1.87098i | ||||
\(694\) | 2.87083 | + | 6.28625i | 0.108975 | + | 0.238623i | ||||
\(695\) | −41.7479 | + | 20.5260i | −1.58359 | + | 0.778597i | ||||
\(696\) | −0.701487 | + | 1.32947i | −0.0265898 | + | 0.0503933i | ||||
\(697\) | 0.357887 | + | 1.76624i | 0.0135559 | + | 0.0669012i | ||||
\(698\) | 2.91728 | + | 0.504854i | 0.110421 | + | 0.0191090i | ||||
\(699\) | 0.759881 | − | 2.33867i | 0.0287413 | − | 0.0884567i | ||||
\(700\) | −6.18056 | + | 15.8746i | −0.233603 | + | 0.600005i | ||||
\(701\) | −1.40112 | + | 6.91480i | −0.0529195 | + | 0.261168i | −0.997804 | − | 0.0662357i | \(-0.978901\pi\) |
0.944884 | + | 0.327404i | \(0.106174\pi\) | |||||||
\(702\) | −1.09364 | − | 0.894266i | −0.0412768 | − | 0.0337519i | ||||
\(703\) | −0.729424 | − | 0.214178i | −0.0275108 | − | 0.00807789i | ||||
\(704\) | −3.11644 | − | 10.4868i | −0.117455 | − | 0.395235i | ||||
\(705\) | 0.393601 | − | 0.115572i | 0.0148239 | − | 0.00435268i | ||||
\(706\) | 6.85868 | + | 2.89850i | 0.258130 | + | 0.109087i | ||||
\(707\) | 30.7264 | − | 17.3520i | 1.15558 | − | 0.652588i | ||||
\(708\) | 1.99602 | + | 0.464155i | 0.0750151 | + | 0.0174440i | ||||
\(709\) | −25.5231 | + | 2.92850i | −0.958540 | + | 0.109982i | −0.579120 | − | 0.815242i | \(-0.696604\pi\) |
−0.379420 | + | 0.925225i | \(0.623876\pi\) | |||||||
\(710\) | 4.44151 | − | 6.49549i | 0.166687 | − | 0.243772i | ||||
\(711\) | −19.2298 | + | 1.09960i | −0.721174 | + | 0.0412382i | ||||
\(712\) | −3.24875 | − | 8.34434i | −0.121752 | − | 0.312718i | ||||
\(713\) | 2.12996 | − | 0.368605i | 0.0797678 | − | 0.0138044i | ||||
\(714\) | 0.0946571 | − | 0.658355i | 0.00354245 | − | 0.0246383i | ||||
\(715\) | −21.0967 | − | 6.77862i | −0.788971 | − | 0.253506i | ||||
\(716\) | −1.04172 | − | 7.24530i | −0.0389308 | − | 0.270770i | ||||
\(717\) | 0.622713 | + | 1.91651i | 0.0232556 | + | 0.0715735i | ||||
\(718\) | 24.3951 | + | 1.39496i | 0.910418 | + | 0.0520596i | ||||
\(719\) | −15.4832 | + | 20.0790i | −0.577426 | + | 0.748819i | −0.986514 | − | 0.163676i | \(-0.947665\pi\) |
0.409088 | + | 0.912495i | \(0.365847\pi\) | |||||||
\(720\) | 4.92823 | − | 2.08269i | 0.183664 | − | 0.0776171i | ||||
\(721\) | −66.9940 | + | 54.7807i | −2.49499 | + | 2.04014i | ||||
\(722\) | 0.576983 | + | 1.09350i | 0.0214731 | + | 0.0406960i | ||||
\(723\) | −2.09325 | − | 1.52083i | −0.0778487 | − | 0.0565604i | ||||
\(724\) | −9.34646 | + | 15.4994i | −0.347358 | + | 0.576029i | ||||
\(725\) | 11.4216 | 0.424189 | ||||||||
\(726\) | −0.379144 | + | 0.992963i | −0.0140714 | + | 0.0368523i | ||||
\(727\) | −35.4791 | −1.31585 | −0.657923 | − | 0.753085i | \(-0.728565\pi\) | ||||
−0.657923 | + | 0.753085i | \(0.728565\pi\) | |||||||
\(728\) | −16.7496 | + | 27.7760i | −0.620780 | + | 1.02945i | ||||
\(729\) | 21.1903 | + | 15.3957i | 0.784827 | + | 0.570210i | ||||
\(730\) | 8.83754 | + | 16.7490i | 0.327092 | + | 0.619908i | ||||
\(731\) | −10.5216 | + | 8.60345i | −0.389155 | + | 0.318210i | ||||
\(732\) | −0.231363 | + | 0.0977748i | −0.00855142 | + | 0.00361386i | ||||
\(733\) | −5.15188 | + | 6.68108i | −0.190289 | + | 0.246771i | −0.877375 | − | 0.479804i | \(-0.840708\pi\) |
0.687086 | + | 0.726576i | \(0.258889\pi\) | |||||||
\(734\) | −13.3141 | − | 0.761328i | −0.491432 | − | 0.0281011i | ||||
\(735\) | −1.84758 | − | 5.68626i | −0.0681489 | − | 0.209741i | ||||
\(736\) | −5.48569 | − | 38.1538i | −0.202205 | − | 1.40637i | ||||
\(737\) | 20.1641 | − | 41.3523i | 0.742754 | − | 1.52323i | ||||
\(738\) | −0.437140 | + | 3.04038i | −0.0160914 | + | 0.111918i | ||||
\(739\) | 25.6617 | − | 4.44094i | 0.943982 | − | 0.163363i | 0.322305 | − | 0.946636i | \(-0.395542\pi\) |
0.621677 | + | 0.783273i | \(0.286451\pi\) | |||||||
\(740\) | 0.248986 | + | 0.639515i | 0.00915291 | + | 0.0235091i | ||||
\(741\) | −1.24766 | + | 0.0713440i | −0.0458341 | + | 0.00262089i | ||||
\(742\) | −15.7114 | + | 22.9773i | −0.576785 | + | 0.843522i | ||||
\(743\) | −30.5348 | + | 3.50354i | −1.12021 | + | 0.128532i | −0.654254 | − | 0.756275i | \(-0.727017\pi\) |
−0.465957 | + | 0.884807i | \(0.654290\pi\) | |||||||
\(744\) | −0.104208 | − | 0.0242324i | −0.00382044 | − | 0.000888405i | ||||
\(745\) | 26.5345 | − | 14.9847i | 0.972151 | − | 0.548999i | ||||
\(746\) | −10.2454 | − | 4.32975i | −0.375112 | − | 0.158524i | ||||
\(747\) | −16.5120 | + | 4.84837i | −0.604143 | + | 0.177392i | ||||
\(748\) | −3.39540 | + | 5.32148i | −0.124148 | + | 0.194573i | ||||
\(749\) | −55.7995 | − | 16.3842i | −2.03887 | − | 0.598666i | ||||
\(750\) | 0.515514 | + | 0.421534i | 0.0188239 | + | 0.0153922i | ||||
\(751\) | 4.02038 | − | 19.8414i | 0.146706 | − | 0.724021i | −0.837422 | − | 0.546558i | \(-0.815938\pi\) |
0.984127 | − | 0.177464i | \(-0.0567893\pi\) | |||||||
\(752\) | −0.291056 | + | 0.747570i | −0.0106137 | + | 0.0272611i | ||||
\(753\) | 0.155034 | − | 0.477144i | 0.00564974 | − | 0.0173881i | ||||
\(754\) | 8.74170 | + | 1.51281i | 0.318354 | + | 0.0550933i | ||||
\(755\) | −6.00268 | − | 29.6244i | −0.218460 | − | 1.07814i | ||||
\(756\) | −2.35057 | + | 4.45482i | −0.0854893 | + | 0.162020i | ||||
\(757\) | −24.6209 | + | 12.1053i | −0.894862 | + | 0.439974i | −0.829899 | − | 0.557914i | \(-0.811602\pi\) |
−0.0649629 | + | 0.997888i | \(0.520693\pi\) | |||||||
\(758\) | 5.50441 | + | 12.0530i | 0.199929 | + | 0.437784i | ||||
\(759\) | −1.31023 | + | 2.33792i | −0.0475584 | + | 0.0848612i | ||||
\(760\) | −12.6371 | + | 27.6714i | −0.458395 | + | 1.00375i | ||||
\(761\) | 0.354933 | + | 12.4243i | 0.0128663 | + | 0.450380i | 0.980330 | + | 0.197368i | \(0.0632393\pi\) |
−0.967463 | + | 0.253012i | \(0.918579\pi\) | |||||||
\(762\) | −1.15222 | + | 1.18560i | −0.0417404 | + | 0.0429498i | ||||
\(763\) | 12.6220 | + | 12.9877i | 0.456946 | + | 0.470186i | ||||
\(764\) | −0.109135 | + | 3.82022i | −0.00394836 | + | 0.138211i | ||||
\(765\) | 10.1182 | + | 4.97479i | 0.365825 | + | 0.179864i | ||||
\(766\) | −17.2814 | + | 12.5557i | −0.624402 | + | 0.453655i | ||||
\(767\) | −2.53707 | − | 29.5385i | −0.0916081 | − | 1.06657i | ||||
\(768\) | −0.428738 | + | 1.63109i | −0.0154708 | + | 0.0588568i | ||||
\(769\) | 16.2083 | − | 10.4164i | 0.584485 | − | 0.375626i | −0.214728 | − | 0.976674i | \(-0.568886\pi\) |
0.799213 | + | 0.601048i | \(0.205250\pi\) | |||||||
\(770\) | 3.94846 | − | 35.4342i | 0.142293 | − | 1.27696i | ||||
\(771\) | −0.274312 | − | 0.176290i | −0.00987910 | − | 0.00634891i | ||||
\(772\) | −9.79208 | + | 8.98709i | −0.352425 | + | 0.323452i | ||||
\(773\) | 32.4497 | − | 7.54586i | 1.16714 | − | 0.271406i | 0.402224 | − | 0.915541i | \(-0.368237\pi\) |
0.764911 | + | 0.644136i | \(0.222783\pi\) | |||||||
\(774\) | −21.8184 | + | 7.78478i | −0.784245 | + | 0.279818i | ||||
\(775\) | 0.206661 | + | 0.786219i | 0.00742347 | + | 0.0282418i | ||||
\(776\) | 13.6030 | + | 12.4847i | 0.488319 | + | 0.448175i | ||||
\(777\) | −0.0968224 | − | 0.0546781i | −0.00347349 | − | 0.00196157i | ||||
\(778\) | −1.20803 | − | 1.56660i | −0.0433100 | − | 0.0561654i | ||||
\(779\) | 3.07513 | + | 4.49724i | 0.110178 | + | 0.161130i | ||||
\(780\) | 0.738780 | + | 0.852598i | 0.0264526 | + | 0.0305279i | ||||
\(781\) | 4.02899 | − | 11.4096i | 0.144169 | − | 0.408269i | ||||
\(782\) | 4.70372 | − | 5.42838i | 0.168205 | − | 0.194118i | ||||
\(783\) | 3.35507 | + | 0.384959i | 0.119901 | + | 0.0137573i | ||||
\(784\) | 11.0125 | + | 3.92924i | 0.393303 | + | 0.140330i | ||||
\(785\) | 3.57277 | − | 41.5970i | 0.127518 | − | 1.48466i | ||||
\(786\) | −0.160983 | − | 0.266960i | −0.00574206 | − | 0.00952213i | ||||
\(787\) | 9.20565 | + | 15.2659i | 0.328146 | + | 0.544169i | 0.976048 | − | 0.217555i | \(-0.0698080\pi\) |
−0.647902 | + | 0.761723i | \(0.724353\pi\) | |||||||
\(788\) | 0.555227 | − | 6.46440i | 0.0197792 | − | 0.230285i | ||||
\(789\) | 1.42106 | + | 0.507032i | 0.0505910 | + | 0.0180508i | ||||
\(790\) | −13.8267 | − | 1.58646i | −0.491931 | − | 0.0564438i | ||||
\(791\) | −24.7350 | + | 28.5457i | −0.879474 | + | 1.01497i | ||||
\(792\) | −20.8327 | + | 16.1732i | −0.740258 | + | 0.574690i | ||||
\(793\) | 2.37963 | + | 2.74624i | 0.0845030 | + | 0.0975217i | ||||
\(794\) | 1.02963 | + | 1.50579i | 0.0365402 | + | 0.0534383i | ||||
\(795\) | 1.44919 | + | 1.87935i | 0.0513976 | + | 0.0666535i | ||||
\(796\) | 15.5813 | + | 8.79915i | 0.552264 | + | 0.311878i | ||||
\(797\) | 19.9317 | + | 18.2932i | 0.706018 | + | 0.647978i | 0.946510 | − | 0.322673i | \(-0.104582\pi\) |
−0.240492 | + | 0.970651i | \(0.577309\pi\) | |||||||
\(798\) | −0.511170 | − | 1.94469i | −0.0180952 | − | 0.0688414i | ||||
\(799\) | −1.59230 | + | 0.568131i | −0.0563315 | + | 0.0200990i | ||||
\(800\) | 14.1194 | − | 3.28333i | 0.499196 | − | 0.116083i | ||||
\(801\) | −7.39203 | + | 6.78435i | −0.261185 | + | 0.239713i | ||||
\(802\) | −6.07454 | − | 3.90387i | −0.214499 | − | 0.137850i | ||||
\(803\) | 19.7607 | + | 21.3901i | 0.697341 | + | 0.754839i | ||||
\(804\) | −1.97044 | + | 1.26633i | −0.0694921 | + | 0.0446599i | ||||
\(805\) | 22.8540 | − | 86.9457i | 0.805498 | − | 3.06443i | ||||
\(806\) | 0.0540349 | + | 0.629116i | 0.00190330 | + | 0.0221597i | ||||
\(807\) | 1.45831 | − | 1.05952i | 0.0513349 | − | 0.0372970i | ||||
\(808\) | −16.9258 | − | 8.32186i | −0.595448 | − | 0.292762i | ||||
\(809\) | 1.30936 | − | 45.8335i | 0.0460345 | − | 1.61142i | −0.568605 | − | 0.822611i | \(-0.692517\pi\) |
0.614639 | − | 0.788808i | \(-0.289302\pi\) | |||||||
\(810\) | 13.3258 | + | 13.7120i | 0.468222 | + | 0.481789i | ||||
\(811\) | −31.2288 | + | 32.1337i | −1.09659 | + | 1.12837i | −0.105606 | + | 0.994408i | \(0.533678\pi\) |
−0.990987 | + | 0.133959i | \(0.957231\pi\) | |||||||
\(812\) | −0.903261 | − | 31.6182i | −0.0316982 | − | 1.10958i | ||||
\(813\) | 0.518594 | − | 1.13556i | 0.0181879 | − | 0.0398259i | ||||
\(814\) | −0.281180 | − | 0.384364i | −0.00985535 | − | 0.0134720i | ||||
\(815\) | 9.77712 | + | 21.4089i | 0.342477 | + | 0.749921i | ||||
\(816\) | 0.0995207 | − | 0.0489310i | 0.00348392 | − | 0.00171293i | ||||
\(817\) | −19.1745 | + | 36.3397i | −0.670830 | + | 1.27136i | ||||
\(818\) | −3.41822 | − | 16.8696i | −0.119515 | − | 0.589831i | ||||
\(819\) | 35.8114 | + | 6.19740i | 1.25135 | + | 0.216555i | ||||
\(820\) | 1.51980 | − | 4.67746i | 0.0530737 | − | 0.163344i | ||||
\(821\) | −15.9979 | + | 41.0903i | −0.558331 | + | 1.43406i | 0.316014 | + | 0.948755i | \(0.397655\pi\) |
−0.874344 | + | 0.485306i | \(0.838708\pi\) | |||||||
\(822\) | −0.106950 | + | 0.527817i | −0.00373030 | + | 0.0184097i | ||||
\(823\) | 9.93181 | + | 8.12120i | 0.346201 | + | 0.283087i | 0.790085 | − | 0.612997i | \(-0.210036\pi\) |
−0.443884 | + | 0.896084i | \(0.646400\pi\) | |||||||
\(824\) | 44.3815 | + | 13.0316i | 1.54610 | + | 0.453976i | ||||
\(825\) | −0.918169 | − | 0.415694i | −0.0319665 | − | 0.0144726i | ||||
\(826\) | 45.7698 | − | 13.4392i | 1.59254 | − | 0.467611i | ||||
\(827\) | −1.10972 | − | 0.468970i | −0.0385886 | − | 0.0163077i | 0.369890 | − | 0.929075i | \(-0.379395\pi\) |
−0.408479 | + | 0.912768i | \(0.633941\pi\) | |||||||
\(828\) | −23.6225 | + | 13.3402i | −0.820937 | + | 0.463605i | ||||
\(829\) | 34.9319 | + | 8.12306i | 1.21323 | + | 0.282126i | 0.783824 | − | 0.620984i | \(-0.213267\pi\) |
0.429411 | + | 0.903109i | \(0.358721\pi\) | |||||||
\(830\) | −12.3536 | + | 1.41744i | −0.428799 | + | 0.0492001i | ||||
\(831\) | 0.864409 | − | 1.26416i | 0.0299860 | − | 0.0438532i | ||||
\(832\) | 8.04473 | − | 0.460014i | 0.278901 | − | 0.0159481i | ||||
\(833\) | 8.93981 | + | 22.9617i | 0.309746 | + | 0.795576i | ||||
\(834\) | −1.61949 | + | 0.280264i | −0.0560785 | + | 0.00970476i | ||||
\(835\) | −0.0918844 | + | 0.639070i | −0.00317979 | + | 0.0221159i | ||||
\(836\) | −3.19268 | + | 18.8143i | −0.110421 | + | 0.650706i | ||||
\(837\) | 0.0342070 | + | 0.237915i | 0.00118237 | + | 0.00822355i | ||||
\(838\) | −8.49298 | − | 26.1387i | −0.293385 | − | 0.902946i | ||||
\(839\) | 2.30034 | + | 0.131538i | 0.0794167 | + | 0.00454121i | 0.0967520 | − | 0.995309i | \(-0.469155\pi\) |
−0.0173353 | + | 0.999850i | \(0.505518\pi\) | |||||||
\(840\) | −2.71708 | + | 3.52357i | −0.0937480 | + | 0.121575i | ||||
\(841\) | 7.17776 | − | 3.03335i | 0.247509 | − | 0.104598i | ||||
\(842\) | 17.5072 | − | 14.3156i | 0.603339 | − | 0.493347i | ||||
\(843\) | 0.450130 | + | 0.853092i | 0.0155033 | + | 0.0293821i | ||||
\(844\) | −8.01655 | − | 5.82436i | −0.275941 | − | 0.200483i | ||||
\(845\) | −9.93226 | + | 16.4708i | −0.341680 | + | 0.566613i | ||||
\(846\) | −2.88156 | −0.0990702 | ||||||||
\(847\) | −8.15683 | − | 54.2152i | −0.280272 | − | 1.86286i | ||||
\(848\) | −4.64110 | −0.159376 | ||||||||
\(849\) | 0.575117 | − | 0.953725i | 0.0197380 | − | 0.0327317i | ||||
\(850\) | 2.18535 | + | 1.58775i | 0.0749569 | + | 0.0544594i | ||||
\(851\) | −0.560378 | − | 1.06203i | −0.0192095 | − | 0.0364061i | ||||
\(852\) | −0.476900 | + | 0.389959i | −0.0163383 | + | 0.0133598i | ||||
\(853\) | −16.5443 | + | 6.99170i | −0.566468 | + | 0.239391i | −0.653645 | − | 0.756802i | \(-0.726761\pi\) |
0.0871770 | + | 0.996193i | \(0.472215\pi\) | |||||||
\(854\) | −3.57029 | + | 4.63003i | −0.122173 | + | 0.158436i | ||||
\(855\) | 34.0303 | + | 1.94592i | 1.16381 | + | 0.0665491i | ||||
\(856\) | 9.60539 | + | 29.5623i | 0.328305 | + | 1.01042i | ||||
\(857\) | −2.88124 | − | 20.0394i | −0.0984211 | − | 0.684534i | −0.977973 | − | 0.208731i | \(-0.933067\pi\) |
0.879552 | − | 0.475803i | \(-0.157842\pi\) | |||||||
\(858\) | −0.647674 | − | 0.439770i | −0.0221112 | − | 0.0150135i | ||||
\(859\) | 2.53584 | − | 17.6371i | 0.0865217 | − | 0.601771i | −0.899721 | − | 0.436466i | \(-0.856230\pi\) |
0.986242 | − | 0.165305i | \(-0.0528610\pi\) | |||||||
\(860\) | 36.5484 | − | 6.32495i | 1.24629 | − | 0.215679i | ||||
\(861\) | 0.289112 | + | 0.742578i | 0.00985291 | + | 0.0253070i | ||||
\(862\) | 26.0064 | − | 1.48710i | 0.885780 | − | 0.0506507i | ||||
\(863\) | −22.9579 | + | 33.5749i | −0.781497 | + | 1.14290i | 0.204941 | + | 0.978774i | \(0.434300\pi\) |
−0.986439 | + | 0.164129i | \(0.947519\pi\) | |||||||
\(864\) | 4.25820 | − | 0.488583i | 0.144867 | − | 0.0166219i | ||||
\(865\) | −56.3352 | − | 13.1002i | −1.91546 | − | 0.445420i | ||||
\(866\) | −23.2555 | + | 13.1330i | −0.790254 | + | 0.446277i | ||||
\(867\) | −1.70339 | − | 0.719861i | −0.0578503 | − | 0.0244477i | ||||
\(868\) | 2.16013 | − | 0.634271i | 0.0733196 | − | 0.0215286i | ||||
\(869\) | −21.1733 | + | 3.11489i | −0.718254 | + | 0.105665i | ||||
\(870\) | 1.16772 | + | 0.342873i | 0.0395893 | + | 0.0116245i | ||||
\(871\) | 26.2326 | + | 21.4503i | 0.888857 | + | 0.726815i | ||||
\(872\) | 1.92236 | − | 9.48724i | 0.0650995 | − | 0.321279i | ||||
\(873\) | 7.50594 | − | 19.2789i | 0.254038 | − | 0.652491i | ||||
\(874\) | 6.71012 | − | 20.6516i | 0.226973 | − | 0.698551i | ||||
\(875\) | −33.8460 | − | 5.85728i | −1.14420 | − | 0.198012i | ||||
\(876\) | −0.294428 | − | 1.45306i | −0.00994779 | − | 0.0490943i | ||||
\(877\) | 9.54863 | − | 18.0967i | 0.322434 | − | 0.611081i | −0.668763 | − | 0.743476i | \(-0.733176\pi\) |
0.991197 | + | 0.132395i | \(0.0422667\pi\) | |||||||
\(878\) | 22.3894 | − | 11.0081i | 0.755605 | − | 0.371506i | ||||
\(879\) | −0.563010 | − | 1.23282i | −0.0189899 | − | 0.0415820i | ||||
\(880\) | 5.24856 | − | 2.79134i | 0.176929 | − | 0.0940959i | ||||
\(881\) | −4.41134 | + | 9.65949i | −0.148622 | + | 0.325437i | −0.969271 | − | 0.245996i | \(-0.920885\pi\) |
0.820649 | + | 0.571433i | \(0.193612\pi\) | |||||||
\(882\) | 1.19931 | + | 41.9815i | 0.0403830 | + | 1.41359i | ||||
\(883\) | 0.827307 | − | 0.851279i | 0.0278411 | − | 0.0286478i | −0.703068 | − | 0.711122i | \(-0.748187\pi\) |
0.730909 | + | 0.682475i | \(0.239096\pi\) | |||||||
\(884\) | −3.24035 | − | 3.33424i | −0.108985 | − | 0.112143i | ||||
\(885\) | 0.116138 | − | 4.06536i | 0.00390394 | − | 0.136656i | ||||
\(886\) | −9.64204 | − | 4.74067i | −0.323931 | − | 0.159266i | ||||
\(887\) | 34.2339 | − | 24.8724i | 1.14946 | − | 0.835132i | 0.161052 | − | 0.986946i | \(-0.448511\pi\) |
0.988409 | + | 0.151814i | \(0.0485114\pi\) | |||||||
\(888\) | 0.00508599 | + | 0.0592151i | 0.000170675 | + | 0.00198713i | ||||
\(889\) | 21.6791 | − | 82.4759i | 0.727094 | − | 2.76615i | ||||
\(890\) | −6.09888 | + | 3.91951i | −0.204435 | + | 0.131382i | ||||
\(891\) | 25.2280 | + | 15.1009i | 0.845171 | + | 0.505900i | ||||
\(892\) | 15.5116 | + | 9.96873i | 0.519368 | + | 0.333778i | ||||
\(893\) | −3.76544 | + | 3.45589i | −0.126006 | + | 0.115647i | ||||
\(894\) | 1.04863 | − | 0.243849i | 0.0350715 | − | 0.00815552i | ||||
\(895\) | −13.6822 | + | 4.88178i | −0.457344 | + | 0.163180i | ||||
\(896\) | −11.5154 | − | 43.8093i | −0.384704 | − | 1.46356i | ||||
\(897\) | −1.45431 | − | 1.33475i | −0.0485579 | − | 0.0445661i | ||||
\(898\) | −0.868759 | − | 0.490611i | −0.0289909 | − | 0.0163719i | ||||
\(899\) | −0.921734 | − | 1.19533i | −0.0307416 | − | 0.0398664i | ||||
\(900\) | −5.75871 | − | 8.42184i | −0.191957 | − | 0.280728i | ||||
\(901\) | −6.40495 | − | 7.39170i | −0.213380 | − | 0.246253i | ||||
\(902\) | −0.183707 | + | 3.40796i | −0.00611679 | + | 0.113473i | ||||
\(903\) | −3.93560 | + | 4.54192i | −0.130969 | + | 0.151146i | ||||
\(904\) | 20.0570 | + | 2.30133i | 0.667087 | + | 0.0765411i | ||||
\(905\) | 33.8312 | + | 12.0710i | 1.12459 | + | 0.401252i | ||||
\(906\) | 0.0913843 | − | 1.06397i | 0.00303604 | − | 0.0353480i | ||||
\(907\) | 24.5166 | + | 40.6562i | 0.814059 | + | 1.34997i | 0.934032 | + | 0.357189i | \(0.116265\pi\) |
−0.119973 | + | 0.992777i | \(0.538281\pi\) | |||||||
\(908\) | −9.48722 | − | 15.7328i | −0.314844 | − | 0.522111i | ||||
\(909\) | −1.80851 | + | 21.0561i | −0.0599844 | + | 0.698386i | ||||
\(910\) | 24.7333 | + | 8.82482i | 0.819901 | + | 0.292540i | ||||
\(911\) | −3.40856 | − | 0.391096i | −0.112931 | − | 0.0129576i | 0.0573418 | − | 0.998355i | \(-0.481738\pi\) |
−0.170273 | + | 0.985397i | \(0.554465\pi\) | |||||||
\(912\) | 0.219550 | − | 0.253374i | 0.00727001 | − | 0.00839004i | ||||
\(913\) | −17.7955 | + | 6.99544i | −0.588945 | + | 0.231515i | ||||
\(914\) | −10.3010 | − | 11.8880i | −0.340728 | − | 0.393221i | ||||
\(915\) | 0.281366 | + | 0.411485i | 0.00930168 | + | 0.0136033i | ||||
\(916\) | −21.0343 | − | 27.2777i | −0.694991 | − | 0.901281i | ||||
\(917\) | 14.0017 | + | 7.90713i | 0.462377 | + | 0.261116i | ||||
\(918\) | 0.588427 | + | 0.540053i | 0.0194210 | + | 0.0178244i | ||||
\(919\) | 7.97474 | + | 30.3391i | 0.263063 | + | 1.00079i | 0.959164 | + | 0.282850i | \(0.0912800\pi\) |
−0.696102 | + | 0.717943i | \(0.745084\pi\) | |||||||
\(920\) | −45.2563 | + | 16.1474i | −1.49206 | + | 0.532365i | ||||
\(921\) | −1.16679 | + | 0.271326i | −0.0384472 | + | 0.00894051i | ||||
\(922\) | 16.1940 | − | 14.8627i | 0.533321 | − | 0.489478i | ||||
\(923\) | 7.49751 | + | 4.81836i | 0.246784 | + | 0.158598i | ||||
\(924\) | −1.07815 | + | 2.57462i | −0.0354684 | + | 0.0846988i | ||||
\(925\) | 0.379902 | − | 0.244148i | 0.0124911 | − | 0.00802754i | ||||
\(926\) | −0.806491 | + | 3.06821i | −0.0265029 | + | 0.100828i | ||||
\(927\) | −4.43523 | − | 51.6384i | −0.145672 | − | 1.69603i | ||||
\(928\) | −21.7758 | + | 15.8210i | −0.714824 | + | 0.519350i | ||||
\(929\) | 30.0727 | + | 14.7857i | 0.986652 | + | 0.485104i | 0.861897 | − | 0.507084i | \(-0.169276\pi\) |
0.124755 | + | 0.992188i | \(0.460186\pi\) | |||||||
\(930\) | −0.00247353 | + | 0.0865848i | −8.11102e−5 | + | 0.00283923i | ||||
\(931\) | 51.9160 | + | 53.4203i | 1.70148 | + | 1.75078i | ||||
\(932\) | 19.2754 | − | 19.8340i | 0.631388 | − | 0.649683i | ||||
\(933\) | −0.113471 | − | 3.97200i | −0.00371487 | − | 0.130037i | ||||
\(934\) | −7.33851 | + | 16.0691i | −0.240124 | + | 0.525797i | ||||
\(935\) | 11.6889 | + | 4.50700i | 0.382269 | + | 0.147395i | ||||
\(936\) | −8.06966 | − | 17.6701i | −0.263765 | − | 0.577565i | ||||
\(937\) | −34.0643 | + | 16.7483i | −1.11283 | + | 0.547143i | −0.902588 | − | 0.430506i | \(-0.858335\pi\) |
−0.210245 | + | 0.977649i | \(0.567426\pi\) | |||||||
\(938\) | −25.4437 | + | 48.2212i | −0.830767 | + | 1.57448i | ||||
\(939\) | 0.659161 | + | 3.25309i | 0.0215109 | + | 0.106161i | ||||
\(940\) | 4.54625 | + | 0.786759i | 0.148282 | + | 0.0256613i | ||||
\(941\) | 12.8695 | − | 39.6083i | 0.419534 | − | 1.29119i | −0.488598 | − | 0.872509i | \(-0.662492\pi\) |
0.908132 | − | 0.418684i | \(-0.137508\pi\) | |||||||
\(942\) | 0.535146 | − | 1.37451i | 0.0174360 | − | 0.0447840i | ||||
\(943\) | −1.70898 | + | 8.43415i | −0.0556520 | + | 0.274654i | ||||
\(944\) | 6.15719 | + | 5.03471i | 0.200399 | + | 0.163866i | ||||
\(945\) | 9.59142 | + | 2.81629i | 0.312009 | + | 0.0916141i | ||||
\(946\) | −23.3783 | + | 10.7689i | −0.760093 | + | 0.350128i | ||||
\(947\) | 4.86985 | − | 1.42992i | 0.158249 | − | 0.0464660i | −0.201649 | − | 0.979458i | \(-0.564630\pi\) |
0.359897 | + | 0.932992i | \(0.382812\pi\) | |||||||
\(948\) | 1.00363 | + | 0.424136i | 0.0325963 | + | 0.0137753i | ||||
\(949\) | −18.6765 | + | 10.5471i | −0.606265 | + | 0.342374i | ||||
\(950\) | 7.95396 | + | 1.84961i | 0.258060 | + | 0.0600094i | ||||
\(951\) | −2.12498 | + | 0.243819i | −0.0689072 | + | 0.00790636i | ||||
\(952\) | 10.3505 | − | 15.1372i | 0.335463 | − | 0.490598i | ||||
\(953\) | 45.0244 | − | 2.57459i | 1.45848 | − | 0.0833991i | 0.690251 | − | 0.723570i | \(-0.257500\pi\) |
0.768232 | + | 0.640171i | \(0.221137\pi\) | |||||||
\(954\) | −6.04820 | − | 15.5347i | −0.195818 | − | 0.502954i | ||||
\(955\) | 7.47366 | − | 1.29337i | 0.241842 | − | 0.0418524i | ||||
\(956\) | −3.22554 | + | 22.4342i | −0.104322 | + | 0.725572i | ||||
\(957\) | 1.87084 | + | 0.0473298i | 0.0604756 | + | 0.00152996i | ||||
\(958\) | 0.602764 | + | 4.19232i | 0.0194744 | + | 0.135448i | ||||
\(959\) | −8.58417 | − | 26.4193i | −0.277197 | − | 0.853125i | ||||
\(960\) | 1.10358 | + | 0.0631049i | 0.0356178 | + | 0.00203670i | ||||
\(961\) | −18.8645 | + | 24.4639i | −0.608532 | + | 0.789158i | ||||
\(962\) | 0.323101 | − | 0.136544i | 0.0104172 | − | 0.00440234i | ||||
\(963\) | 26.9626 | − | 22.0472i | 0.868859 | − | 0.710462i | ||||
\(964\) | −13.5805 | − | 25.7380i | −0.437400 | − | 0.828965i | ||||
\(965\) | 21.3399 | + | 15.5044i | 0.686957 | + | 0.499104i | ||||
\(966\) | 1.64013 | − | 2.71985i | 0.0527703 | − | 0.0875097i | ||||
\(967\) | 26.4922 | 0.851933 | 0.425967 | − | 0.904739i | \(-0.359934\pi\) | ||||
0.425967 | + | 0.904739i | \(0.359934\pi\) | |||||||
\(968\) | −21.4595 | + | 19.9552i | −0.689734 | + | 0.641385i | ||||
\(969\) | 0.706528 | 0.0226970 | ||||||||
\(970\) | 7.71946 | − | 12.8013i | 0.247857 | − | 0.411025i | ||||
\(971\) | −48.6927 | − | 35.3773i | −1.56262 | − | 1.13531i | −0.933819 | − | 0.357747i | \(-0.883545\pi\) |
−0.628803 | − | 0.777564i | \(-0.716455\pi\) | |||||||
\(972\) | −2.11339 | − | 4.00533i | −0.0677872 | − | 0.128471i | ||||
\(973\) | 65.6300 | − | 53.6654i | 2.10400 | − | 1.72043i | ||||
\(974\) | −5.97362 | + | 2.52447i | −0.191407 | + | 0.0808894i | ||||
\(975\) | 0.453318 | − | 0.587874i | 0.0145178 | − | 0.0188270i | ||||
\(976\) | −0.973259 | − | 0.0556530i | −0.0311533 | − | 0.00178141i | ||||
\(977\) | 0.994077 | + | 3.05945i | 0.0318033 | + | 0.0978806i | 0.965698 | − | 0.259667i | \(-0.0836129\pi\) |
−0.933895 | + | 0.357548i | \(0.883613\pi\) | |||||||
\(978\) | 0.118336 | + | 0.823045i | 0.00378397 | + | 0.0263181i | ||||
\(979\) | −7.51123 | + | 8.23788i | −0.240060 | + | 0.263284i | ||||
\(980\) | 9.57012 | − | 66.5617i | 0.305706 | − | 2.12623i | ||||
\(981\) | −10.6876 | + | 1.84956i | −0.341228 | + | 0.0590518i | ||||
\(982\) | −0.494434 | − | 1.26994i | −0.0157780 | − | 0.0405256i | ||||
\(983\) | −32.5217 | + | 1.85966i | −1.03728 | + | 0.0593138i | −0.567421 | − | 0.823428i | \(-0.692059\pi\) |
−0.469859 | + | 0.882742i | \(0.655695\pi\) | |||||||
\(984\) | 0.240411 | − | 0.351590i | 0.00766402 | − | 0.0112083i | ||||
\(985\) | −12.7926 | + | 1.46782i | −0.407607 | + | 0.0467685i | ||||
\(986\) | −4.88530 | − | 1.13603i | −0.155580 | − | 0.0361785i | ||||
\(987\) | −0.650936 | + | 0.367601i | −0.0207195 | + | 0.0117009i | ||||
\(988\) | −12.9471 | − | 5.47147i | −0.411901 | − | 0.174071i | ||||
\(989\) | −62.2720 | + | 18.2847i | −1.98013 | + | 0.581420i | ||||
\(990\) | 16.1830 | + | 13.9303i | 0.514329 | + | 0.442735i | ||||
\(991\) | 28.5694 | + | 8.38873i | 0.907536 | + | 0.266477i | 0.702003 | − | 0.712174i | \(-0.252289\pi\) |
0.205533 | + | 0.978650i | \(0.434107\pi\) | |||||||
\(992\) | −1.48306 | − | 1.21269i | −0.0470873 | − | 0.0385031i | ||||
\(993\) | 0.584236 | − | 2.88332i | 0.0185402 | − | 0.0914993i | ||||
\(994\) | −5.20259 | + | 13.3627i | −0.165016 | + | 0.423840i | ||||
\(995\) | 10.9741 | − | 33.7749i | 0.347903 | − | 1.07074i | ||||
\(996\) | 0.959227 | + | 0.166001i | 0.0303943 | + | 0.00525994i | ||||
\(997\) | 1.52424 | + | 7.52240i | 0.0482730 | + | 0.238237i | 0.996953 | − | 0.0779999i | \(-0.0248534\pi\) |
−0.948680 | + | 0.316237i | \(0.897581\pi\) | |||||||
\(998\) | 4.24876 | − | 8.05230i | 0.134492 | − | 0.254891i | ||||
\(999\) | 0.119824 | − | 0.0589135i | 0.00379107 | − | 0.00186394i |
(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 | 121.2.g.a.5.8 | ✓ | 400 | |
121.97 | even | 55 | inner | 121.2.g.a.97.8 | yes | 400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
121.2.g.a.5.8 | ✓ | 400 | 1.1 | even | 1 | trivial | |
121.2.g.a.97.8 | yes | 400 | 121.97 | even | 55 | inner |