Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 110.12 | ||
Character | \(\chi\) | \(=\) | 171.110 |
Dual form | 171.2.x.a.14.12 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.469442 | − | 0.393909i | 0.331946 | − | 0.278536i | −0.461546 | − | 0.887116i | \(-0.652705\pi\) |
0.793492 | + | 0.608580i | \(0.208261\pi\) | |||||||
\(3\) | 1.72885 | − | 0.105209i | 0.998153 | − | 0.0607422i | ||||
\(4\) | −0.282084 | + | 1.59978i | −0.141042 | + | 0.799890i | ||||
\(5\) | −0.821139 | + | 2.25606i | −0.367225 | + | 1.00894i | 0.609188 | + | 0.793026i | \(0.291496\pi\) |
−0.976412 | + | 0.215915i | \(0.930727\pi\) | |||||||
\(6\) | 0.770154 | − | 0.730400i | 0.314414 | − | 0.298184i | ||||
\(7\) | −0.676894 | − | 1.17241i | −0.255842 | − | 0.443131i | 0.709282 | − | 0.704925i | \(-0.249019\pi\) |
−0.965124 | + | 0.261794i | \(0.915686\pi\) | |||||||
\(8\) | 1.11056 | + | 1.92354i | 0.392642 | + | 0.680076i | ||||
\(9\) | 2.97786 | − | 0.363781i | 0.992621 | − | 0.121260i | ||||
\(10\) | 0.503205 | + | 1.38254i | 0.159127 | + | 0.437199i | ||||
\(11\) | 0.212949i | 0.0642065i | 0.999485 | + | 0.0321032i | \(0.0102205\pi\) | ||||
−0.999485 | + | 0.0321032i | \(0.989779\pi\) | |||||||
\(12\) | −0.319372 | + | 2.79546i | −0.0921947 | + | 0.806980i | ||||
\(13\) | −2.01801 | − | 5.54444i | −0.559696 | − | 1.53775i | −0.820081 | − | 0.572247i | \(-0.806072\pi\) |
0.260386 | − | 0.965505i | \(-0.416150\pi\) | |||||||
\(14\) | −0.779587 | − | 0.283747i | −0.208353 | − | 0.0758344i | ||||
\(15\) | −1.18227 | + | 3.98679i | −0.305261 | + | 1.02938i | ||||
\(16\) | −1.77394 | − | 0.645662i | −0.443485 | − | 0.161415i | ||||
\(17\) | 0.897444 | − | 2.46571i | 0.217662 | − | 0.598022i | −0.782020 | − | 0.623254i | \(-0.785810\pi\) |
0.999682 | + | 0.0252323i | \(0.00803255\pi\) | |||||||
\(18\) | 1.25464 | − | 1.34378i | 0.295721 | − | 0.316732i | ||||
\(19\) | −0.154798 | − | 4.35615i | −0.0355132 | − | 0.999369i | ||||
\(20\) | −3.37757 | − | 1.95004i | −0.755248 | − | 0.436043i | ||||
\(21\) | −1.29360 | − | 1.95572i | −0.282286 | − | 0.426772i | ||||
\(22\) | 0.0838824 | + | 0.0999672i | 0.0178838 | + | 0.0213131i | ||||
\(23\) | 1.61574 | + | 0.284898i | 0.336905 | + | 0.0594054i | 0.339541 | − | 0.940591i | \(-0.389728\pi\) |
−0.00263654 | + | 0.999997i | \(0.500839\pi\) | |||||||
\(24\) | 2.12237 | + | 3.20868i | 0.433226 | + | 0.654970i | ||||
\(25\) | −0.585319 | − | 0.491141i | −0.117064 | − | 0.0982282i | ||||
\(26\) | −3.13134 | − | 1.80788i | −0.614107 | − | 0.354555i | ||||
\(27\) | 5.11001 | − | 0.942220i | 0.983422 | − | 0.181330i | ||||
\(28\) | 2.06655 | − | 0.752162i | 0.390541 | − | 0.142145i | ||||
\(29\) | −0.914202 | + | 5.18470i | −0.169763 | + | 0.962774i | 0.774253 | + | 0.632876i | \(0.218126\pi\) |
−0.944016 | + | 0.329899i | \(0.892985\pi\) | |||||||
\(30\) | 1.01542 | + | 2.33727i | 0.185390 | + | 0.426726i | ||||
\(31\) | − | 3.57339i | − | 0.641800i | −0.947113 | − | 0.320900i | \(-0.896015\pi\) | ||
0.947113 | − | 0.320900i | \(-0.103985\pi\) | |||||||
\(32\) | −5.26143 | + | 1.91500i | −0.930098 | + | 0.338528i | ||||
\(33\) | 0.0224041 | + | 0.368157i | 0.00390005 | + | 0.0640879i | ||||
\(34\) | −0.549965 | − | 1.51102i | −0.0943183 | − | 0.259137i | ||||
\(35\) | 3.20086 | − | 0.564398i | 0.541045 | − | 0.0954008i | ||||
\(36\) | −0.258040 | + | 4.86654i | −0.0430066 | + | 0.811091i | ||||
\(37\) | 8.01979i | 1.31844i | 0.751948 | + | 0.659222i | \(0.229114\pi\) | ||||
−0.751948 | + | 0.659222i | \(0.770886\pi\) | |||||||
\(38\) | −1.78859 | − | 1.98398i | −0.290148 | − | 0.321845i | ||||
\(39\) | −4.07217 | − | 9.37321i | −0.652069 | − | 1.50091i | ||||
\(40\) | −5.25156 | + | 0.925991i | −0.830344 | + | 0.146412i | ||||
\(41\) | −6.91883 | + | 5.80559i | −1.08054 | + | 0.906681i | −0.995966 | − | 0.0897363i | \(-0.971398\pi\) |
−0.0845746 | + | 0.996417i | \(0.526953\pi\) | |||||||
\(42\) | −1.37764 | − | 0.408537i | −0.212575 | − | 0.0630386i | ||||
\(43\) | −0.233045 | − | 1.32166i | −0.0355390 | − | 0.201552i | 0.961868 | − | 0.273512i | \(-0.0881855\pi\) |
−0.997407 | + | 0.0719608i | \(0.977074\pi\) | |||||||
\(44\) | −0.340671 | − | 0.0600696i | −0.0513582 | − | 0.00905583i | ||||
\(45\) | −1.62453 | + | 7.01695i | −0.242170 | + | 1.04603i | ||||
\(46\) | 0.870720 | − | 0.502711i | 0.128381 | − | 0.0741206i | ||||
\(47\) | 2.80328 | + | 0.494293i | 0.408900 | + | 0.0721000i | 0.374315 | − | 0.927302i | \(-0.377878\pi\) |
0.0345849 | + | 0.999402i | \(0.488989\pi\) | |||||||
\(48\) | −3.13481 | − | 0.929620i | −0.452471 | − | 0.134179i | ||||
\(49\) | 2.58363 | − | 4.47498i | 0.369090 | − | 0.639282i | ||||
\(50\) | −0.468238 | −0.0662189 | ||||||||
\(51\) | 1.29213 | − | 4.35726i | 0.180935 | − | 0.610139i | ||||
\(52\) | 9.43914 | − | 1.66438i | 1.30897 | − | 0.230807i | ||||
\(53\) | −7.65410 | − | 6.42256i | −1.05137 | − | 0.882206i | −0.0581349 | − | 0.998309i | \(-0.518515\pi\) |
−0.993237 | + | 0.116103i | \(0.962960\pi\) | |||||||
\(54\) | 2.02771 | − | 2.45520i | 0.275936 | − | 0.334110i | ||||
\(55\) | −0.480426 | − | 0.174861i | −0.0647806 | − | 0.0235782i | ||||
\(56\) | 1.50346 | − | 2.60407i | 0.200908 | − | 0.347984i | ||||
\(57\) | −0.725928 | − | 7.51485i | −0.0961515 | − | 0.995367i | ||||
\(58\) | 1.61313 | + | 2.79403i | 0.211815 | + | 0.366874i | ||||
\(59\) | 1.30385 | + | 7.39448i | 0.169746 | + | 0.962679i | 0.944035 | + | 0.329846i | \(0.106997\pi\) |
−0.774288 | + | 0.632833i | \(0.781892\pi\) | |||||||
\(60\) | −6.04448 | − | 3.01599i | −0.780340 | − | 0.389362i | ||||
\(61\) | −4.70028 | + | 1.71076i | −0.601810 | + | 0.219041i | −0.624916 | − | 0.780692i | \(-0.714867\pi\) |
0.0231061 | + | 0.999733i | \(0.492644\pi\) | |||||||
\(62\) | −1.40759 | − | 1.67750i | −0.178764 | − | 0.213043i | ||||
\(63\) | −2.44220 | − | 3.24505i | −0.307688 | − | 0.408838i | ||||
\(64\) | 0.172188 | − | 0.298239i | 0.0215235 | − | 0.0372798i | ||||
\(65\) | 14.1657 | 1.75703 | ||||||||
\(66\) | 0.155538 | + | 0.164003i | 0.0191454 | + | 0.0201874i | ||||
\(67\) | −6.37567 | + | 7.59823i | −0.778912 | + | 0.928271i | −0.998884 | − | 0.0472352i | \(-0.984959\pi\) |
0.219972 | + | 0.975506i | \(0.429403\pi\) | |||||||
\(68\) | 3.69143 | + | 2.13125i | 0.447652 | + | 0.258452i | ||||
\(69\) | 2.82335 | + | 0.322558i | 0.339891 | + | 0.0388314i | ||||
\(70\) | 1.28030 | − | 1.52580i | 0.153025 | − | 0.182368i | ||||
\(71\) | −7.93377 | + | 6.65722i | −0.941565 | + | 0.790067i | −0.977857 | − | 0.209274i | \(-0.932890\pi\) |
0.0362918 | + | 0.999341i | \(0.488445\pi\) | |||||||
\(72\) | 4.00684 | + | 5.32405i | 0.472210 | + | 0.627445i | ||||
\(73\) | −1.33247 | − | 7.55679i | −0.155953 | − | 0.884455i | −0.957909 | − | 0.287072i | \(-0.907318\pi\) |
0.801956 | − | 0.597383i | \(-0.203793\pi\) | |||||||
\(74\) | 3.15906 | + | 3.76483i | 0.367234 | + | 0.437652i | ||||
\(75\) | −1.06360 | − | 0.787530i | −0.122814 | − | 0.0909361i | ||||
\(76\) | 7.01255 | + | 0.981159i | 0.804395 | + | 0.112547i | ||||
\(77\) | 0.249664 | − | 0.144144i | 0.0284519 | − | 0.0164267i | ||||
\(78\) | −5.60384 | − | 2.79612i | −0.634510 | − | 0.316598i | ||||
\(79\) | −1.92202 | + | 5.28069i | −0.216244 | + | 0.594125i | −0.999624 | − | 0.0274180i | \(-0.991271\pi\) |
0.783380 | + | 0.621543i | \(0.213494\pi\) | |||||||
\(80\) | 2.91331 | − | 3.47194i | 0.325717 | − | 0.388175i | ||||
\(81\) | 8.73533 | − | 2.16658i | 0.970592 | − | 0.240731i | ||||
\(82\) | −0.961119 | + | 5.45078i | −0.106138 | + | 0.601938i | ||||
\(83\) | 14.1234 | − | 8.15413i | 1.55024 | − | 0.895032i | 0.552119 | − | 0.833765i | \(-0.313819\pi\) |
0.998121 | − | 0.0612667i | \(-0.0195140\pi\) | |||||||
\(84\) | 3.49362 | − | 1.51780i | 0.381185 | − | 0.165605i | ||||
\(85\) | 4.82586 | + | 4.04937i | 0.523438 | + | 0.439216i | ||||
\(86\) | −0.630016 | − | 0.528646i | −0.0679363 | − | 0.0570054i | ||||
\(87\) | −1.03505 | + | 9.05976i | −0.110969 | + | 0.971308i | ||||
\(88\) | −0.409617 | + | 0.236492i | −0.0436653 | + | 0.0252102i | ||||
\(89\) | −0.680140 | + | 3.85727i | −0.0720947 | + | 0.408869i | 0.927308 | + | 0.374300i | \(0.122117\pi\) |
−0.999402 | + | 0.0345692i | \(0.988994\pi\) | |||||||
\(90\) | 2.00142 | + | 3.93397i | 0.210968 | + | 0.414677i | ||||
\(91\) | −5.13440 | + | 6.11895i | −0.538232 | + | 0.641440i | ||||
\(92\) | −0.911550 | + | 2.50446i | −0.0950356 | + | 0.261108i | ||||
\(93\) | −0.375951 | − | 6.17786i | −0.0389844 | − | 0.640615i | ||||
\(94\) | 1.51068 | − | 0.872193i | 0.155815 | − | 0.0899598i | ||||
\(95\) | 9.95485 | + | 3.22777i | 1.02135 | + | 0.331162i | ||||
\(96\) | −8.89476 | + | 3.86431i | −0.907818 | + | 0.394399i | ||||
\(97\) | 4.16363 | + | 4.96202i | 0.422753 | + | 0.503817i | 0.934817 | − | 0.355130i | \(-0.115563\pi\) |
−0.512064 | + | 0.858947i | \(0.671119\pi\) | |||||||
\(98\) | −0.549868 | − | 3.11846i | −0.0555451 | − | 0.315012i | ||||
\(99\) | 0.0774666 | + | 0.634132i | 0.00778569 | + | 0.0637327i | ||||
\(100\) | 0.950827 | − | 0.797839i | 0.0950827 | − | 0.0797839i | ||||
\(101\) | 0.214724 | − | 0.255898i | 0.0213659 | − | 0.0254628i | −0.755256 | − | 0.655430i | \(-0.772487\pi\) |
0.776622 | + | 0.629967i | \(0.216932\pi\) | |||||||
\(102\) | −1.10978 | − | 2.55447i | −0.109885 | − | 0.252930i | ||||
\(103\) | 10.2900 | + | 5.94094i | 1.01390 | + | 0.585378i | 0.912333 | − | 0.409450i | \(-0.134279\pi\) |
0.101572 | + | 0.994828i | \(0.467613\pi\) | |||||||
\(104\) | 8.42386 | − | 10.0392i | 0.826027 | − | 0.984421i | ||||
\(105\) | 5.47444 | − | 1.31252i | 0.534251 | − | 0.128089i | ||||
\(106\) | −6.12306 | −0.594724 | ||||||||
\(107\) | 9.58046 | − | 16.5938i | 0.926178 | − | 1.60419i | 0.136522 | − | 0.990637i | \(-0.456408\pi\) |
0.789656 | − | 0.613550i | \(-0.210259\pi\) | |||||||
\(108\) | 0.0658898 | + | 8.44068i | 0.00634025 | + | 0.812205i | ||||
\(109\) | −8.42729 | − | 10.0433i | −0.807188 | − | 0.961970i | 0.192625 | − | 0.981272i | \(-0.438300\pi\) |
−0.999814 | + | 0.0193028i | \(0.993855\pi\) | |||||||
\(110\) | −0.294411 | + | 0.107157i | −0.0280710 | + | 0.0102170i | ||||
\(111\) | 0.843751 | + | 13.8650i | 0.0800853 | + | 1.31601i | ||||
\(112\) | 0.443787 | + | 2.51684i | 0.0419339 | + | 0.237819i | ||||
\(113\) | −8.50021 | − | 14.7228i | −0.799632 | − | 1.38500i | −0.919856 | − | 0.392257i | \(-0.871694\pi\) |
0.120223 | − | 0.992747i | \(-0.461639\pi\) | |||||||
\(114\) | −3.30095 | − | 3.24184i | −0.309162 | − | 0.303626i | ||||
\(115\) | −1.96949 | + | 3.41126i | −0.183656 | + | 0.318102i | ||||
\(116\) | −8.03650 | − | 2.92505i | −0.746170 | − | 0.271584i | ||||
\(117\) | −8.02632 | − | 15.7765i | −0.742034 | − | 1.45854i | ||||
\(118\) | 3.52483 | + | 2.95769i | 0.324487 | + | 0.272277i | ||||
\(119\) | −3.49830 | + | 0.616845i | −0.320689 | + | 0.0565461i | ||||
\(120\) | −8.98174 | + | 2.15341i | −0.819917 | + | 0.196579i | ||||
\(121\) | 10.9547 | 0.995878 | ||||||||
\(122\) | −1.53263 | + | 2.65459i | −0.138758 | + | 0.240335i | ||||
\(123\) | −11.3508 | + | 10.7649i | −1.02347 | + | 0.970641i | ||||
\(124\) | 5.71664 | + | 1.00800i | 0.513369 | + | 0.0905209i | ||||
\(125\) | −8.80731 | + | 5.08490i | −0.787750 | + | 0.454808i | ||||
\(126\) | −2.42472 | − | 0.561359i | −0.216012 | − | 0.0500099i | ||||
\(127\) | 3.40423 | + | 0.600258i | 0.302077 | + | 0.0532643i | 0.322632 | − | 0.946524i | \(-0.395432\pi\) |
−0.0205553 | + | 0.999789i | \(0.506543\pi\) | |||||||
\(128\) | −1.98119 | − | 11.2359i | −0.175114 | − | 0.993123i | ||||
\(129\) | −0.541950 | − | 2.26044i | −0.0477161 | − | 0.199021i | ||||
\(130\) | 6.64996 | − | 5.57998i | 0.583240 | − | 0.489397i | ||||
\(131\) | 9.62379 | − | 1.69693i | 0.840835 | − | 0.148262i | 0.263388 | − | 0.964690i | \(-0.415160\pi\) |
0.577447 | + | 0.816428i | \(0.304049\pi\) | |||||||
\(132\) | −0.595291 | − | 0.0680098i | −0.0518134 | − | 0.00591950i | ||||
\(133\) | −5.00243 | + | 3.13014i | −0.433766 | + | 0.271417i | ||||
\(134\) | 6.07836i | 0.525090i | ||||||||
\(135\) | −2.07032 | + | 12.3022i | −0.178185 | + | 1.05880i | ||||
\(136\) | 5.73956 | − | 1.01204i | 0.492163 | − | 0.0867816i | ||||
\(137\) | 5.77948 | + | 15.8790i | 0.493774 | + | 1.35663i | 0.897201 | + | 0.441622i | \(0.145597\pi\) |
−0.403427 | + | 0.915012i | \(0.632181\pi\) | |||||||
\(138\) | 1.45246 | − | 0.960720i | 0.123641 | − | 0.0817819i | ||||
\(139\) | −19.5422 | + | 7.11276i | −1.65754 | + | 0.603297i | −0.989974 | − | 0.141250i | \(-0.954888\pi\) |
−0.667570 | + | 0.744547i | \(0.732666\pi\) | |||||||
\(140\) | 5.27989i | 0.446232i | ||||||||
\(141\) | 4.89845 | + | 0.559631i | 0.412524 | + | 0.0471294i | ||||
\(142\) | −1.10211 | + | 6.25036i | −0.0924868 | + | 0.524519i | ||||
\(143\) | 1.18068 | − | 0.429733i | 0.0987336 | − | 0.0359361i | ||||
\(144\) | −5.51743 | − | 1.27737i | −0.459786 | − | 0.106447i | ||||
\(145\) | −10.9463 | − | 6.31985i | −0.909042 | − | 0.524835i | ||||
\(146\) | −3.60220 | − | 3.02261i | −0.298120 | − | 0.250153i | ||||
\(147\) | 3.99591 | − | 8.00840i | 0.329577 | − | 0.660521i | ||||
\(148\) | −12.8299 | − | 2.26226i | −1.05461 | − | 0.185956i | ||||
\(149\) | −7.27209 | − | 8.66654i | −0.595753 | − | 0.709991i | 0.380948 | − | 0.924597i | \(-0.375598\pi\) |
−0.976701 | + | 0.214606i | \(0.931153\pi\) | |||||||
\(150\) | −0.809515 | + | 0.0492627i | −0.0660966 | + | 0.00402229i | ||||
\(151\) | 10.6353 | + | 6.14027i | 0.865485 | + | 0.499688i | 0.865845 | − | 0.500312i | \(-0.166781\pi\) |
−0.000360371 | 1.00000i | \(0.500115\pi\) | ||||||||
\(152\) | 8.20733 | − | 5.13552i | 0.665703 | − | 0.416546i | ||||
\(153\) | 1.77549 | − | 7.66901i | 0.143540 | − | 0.620002i | ||||
\(154\) | 0.0604235 | − | 0.166012i | 0.00486906 | − | 0.0133776i | ||||
\(155\) | 8.06178 | + | 2.93425i | 0.647538 | + | 0.235685i | ||||
\(156\) | 16.1438 | − | 3.87054i | 1.29254 | − | 0.309891i | ||||
\(157\) | −4.54760 | − | 1.65519i | −0.362938 | − | 0.132098i | 0.154113 | − | 0.988053i | \(-0.450748\pi\) |
−0.517051 | + | 0.855955i | \(0.672970\pi\) | |||||||
\(158\) | 1.17784 | + | 3.23608i | 0.0937037 | + | 0.257449i | ||||
\(159\) | −13.9085 | − | 10.2984i | −1.10302 | − | 0.816714i | ||||
\(160\) | − | 13.4426i | − | 1.06273i | ||||||
\(161\) | −0.759665 | − | 2.08716i | −0.0598700 | − | 0.164491i | ||||
\(162\) | 3.24730 | − | 4.45801i | 0.255132 | − | 0.350254i | ||||
\(163\) | 5.44633 | + | 9.43332i | 0.426589 | + | 0.738874i | 0.996567 | − | 0.0827855i | \(-0.0263816\pi\) |
−0.569978 | + | 0.821660i | \(0.693048\pi\) | |||||||
\(164\) | −7.33597 | − | 12.7063i | −0.572843 | − | 0.992194i | ||||
\(165\) | −0.848982 | − | 0.251763i | −0.0660931 | − | 0.0195997i | ||||
\(166\) | 3.41812 | − | 9.39121i | 0.265298 | − | 0.728899i | ||||
\(167\) | −3.48347 | + | 19.7558i | −0.269559 | + | 1.52875i | 0.486171 | + | 0.873864i | \(0.338393\pi\) |
−0.755730 | + | 0.654883i | \(0.772718\pi\) | |||||||
\(168\) | 2.32529 | − | 4.66023i | 0.179400 | − | 0.359545i | ||||
\(169\) | −16.7099 | + | 14.0213i | −1.28538 | + | 1.07856i | ||||
\(170\) | 3.86055 | 0.296090 | ||||||||
\(171\) | −2.04565 | − | 12.9157i | −0.156435 | − | 0.987688i | ||||
\(172\) | 2.18011 | 0.166232 | ||||||||
\(173\) | −5.47511 | + | 4.59417i | −0.416265 | + | 0.349288i | −0.826740 | − | 0.562584i | \(-0.809807\pi\) |
0.410475 | + | 0.911872i | \(0.365363\pi\) | |||||||
\(174\) | 3.08283 | + | 4.66075i | 0.233708 | + | 0.353330i | ||||
\(175\) | −0.179622 | + | 1.01869i | −0.0135781 | + | 0.0770055i | ||||
\(176\) | 0.137493 | − | 0.377759i | 0.0103639 | − | 0.0284746i | ||||
\(177\) | 3.03212 | + | 12.6468i | 0.227908 | + | 0.950591i | ||||
\(178\) | 1.20012 | + | 2.07868i | 0.0899531 | + | 0.155803i | ||||
\(179\) | 0.552620 | + | 0.957166i | 0.0413048 | + | 0.0715419i | 0.885939 | − | 0.463802i | \(-0.153515\pi\) |
−0.844634 | + | 0.535344i | \(0.820182\pi\) | |||||||
\(180\) | −10.7673 | − | 4.57826i | −0.802549 | − | 0.341243i | ||||
\(181\) | −1.96608 | − | 5.40177i | −0.146138 | − | 0.401510i | 0.844929 | − | 0.534879i | \(-0.179643\pi\) |
−0.991066 | + | 0.133369i | \(0.957421\pi\) | |||||||
\(182\) | 4.89498i | 0.362840i | ||||||||
\(183\) | −7.94611 | + | 3.45217i | −0.587393 | + | 0.255192i | ||||
\(184\) | 1.24636 | + | 3.42434i | 0.0918828 | + | 0.252446i | ||||
\(185\) | −18.0931 | − | 6.58536i | −1.33023 | − | 0.484165i | ||||
\(186\) | −2.61000 | − | 2.75206i | −0.191375 | − | 0.201791i | ||||
\(187\) | 0.525069 | + | 0.191110i | 0.0383969 | + | 0.0139753i | ||||
\(188\) | −1.58152 | + | 4.34519i | −0.115344 | + | 0.316906i | ||||
\(189\) | −4.56361 | − | 5.35327i | −0.331954 | − | 0.389393i | ||||
\(190\) | 5.94467 | − | 2.40605i | 0.431272 | − | 0.174553i | ||||
\(191\) | −6.92801 | − | 3.99989i | −0.501293 | − | 0.289422i | 0.227954 | − | 0.973672i | \(-0.426796\pi\) |
−0.729247 | + | 0.684250i | \(0.760130\pi\) | |||||||
\(192\) | 0.266311 | − | 0.533726i | 0.0192193 | − | 0.0385184i | ||||
\(193\) | −5.85776 | − | 6.98100i | −0.421651 | − | 0.502504i | 0.512844 | − | 0.858482i | \(-0.328592\pi\) |
−0.934494 | + | 0.355978i | \(0.884148\pi\) | |||||||
\(194\) | 3.90917 | + | 0.689292i | 0.280662 | + | 0.0494883i | ||||
\(195\) | 24.4903 | − | 1.49035i | 1.75379 | − | 0.106726i | ||||
\(196\) | 6.43018 | + | 5.39556i | 0.459299 | + | 0.385397i | ||||
\(197\) | −2.20914 | − | 1.27545i | −0.157394 | − | 0.0908717i | 0.419234 | − | 0.907878i | \(-0.362299\pi\) |
−0.576629 | + | 0.817006i | \(0.695632\pi\) | |||||||
\(198\) | 0.286156 | + | 0.267174i | 0.0203363 | + | 0.0189872i | ||||
\(199\) | 2.04453 | − | 0.744147i | 0.144933 | − | 0.0527512i | −0.268535 | − | 0.963270i | \(-0.586540\pi\) |
0.413468 | + | 0.910519i | \(0.364317\pi\) | |||||||
\(200\) | 0.294700 | − | 1.67133i | 0.0208385 | − | 0.118181i | ||||
\(201\) | −10.2232 | + | 13.8070i | −0.721088 | + | 0.973870i | ||||
\(202\) | − | 0.204711i | − | 0.0144034i | ||||||
\(203\) | 6.69744 | − | 2.43767i | 0.470068 | − | 0.171091i | ||||
\(204\) | 6.60617 | + | 3.29625i | 0.462524 | + | 0.230783i | ||||
\(205\) | −7.41644 | − | 20.3765i | −0.517987 | − | 1.42316i | ||||
\(206\) | 7.17075 | − | 1.26440i | 0.499610 | − | 0.0880947i | ||||
\(207\) | 4.91509 | + | 0.260614i | 0.341622 | + | 0.0181139i | ||||
\(208\) | 11.1385i | 0.772314i | ||||||||
\(209\) | 0.927637 | − | 0.0329641i | 0.0641660 | − | 0.00228018i | ||||
\(210\) | 2.05292 | − | 2.77258i | 0.141665 | − | 0.191326i | ||||
\(211\) | 5.67921 | − | 1.00140i | 0.390973 | − | 0.0689391i | 0.0252939 | − | 0.999680i | \(-0.491948\pi\) |
0.365679 | + | 0.930741i | \(0.380837\pi\) | |||||||
\(212\) | 12.4338 | − | 10.4332i | 0.853956 | − | 0.716554i | ||||
\(213\) | −13.0159 | + | 12.3441i | −0.891836 | + | 0.845801i | ||||
\(214\) | −2.03899 | − | 11.5637i | −0.139382 | − | 0.790477i | ||||
\(215\) | 3.17311 | + | 0.559505i | 0.216405 | + | 0.0381580i | ||||
\(216\) | 7.48737 | + | 8.78294i | 0.509451 | + | 0.597604i | ||||
\(217\) | −4.18949 | + | 2.41881i | −0.284401 | + | 0.164199i | ||||
\(218\) | −7.91226 | − | 1.39514i | −0.535886 | − | 0.0944911i | ||||
\(219\) | −3.09868 | − | 12.9244i | −0.209389 | − | 0.873349i | ||||
\(220\) | 0.415259 | − | 0.719250i | 0.0279968 | − | 0.0484918i | ||||
\(221\) | −15.4820 | −1.04143 | ||||||||
\(222\) | 5.85765 | + | 6.17647i | 0.393140 | + | 0.414538i | ||||
\(223\) | 20.6749 | − | 3.64555i | 1.38449 | − | 0.244124i | 0.568738 | − | 0.822519i | \(-0.307432\pi\) |
0.815757 | + | 0.578395i | \(0.196321\pi\) | |||||||
\(224\) | 5.80661 | + | 4.87232i | 0.387970 | + | 0.325546i | ||||
\(225\) | −1.92167 | − | 1.24962i | −0.128111 | − | 0.0833082i | ||||
\(226\) | −9.78980 | − | 3.56319i | −0.651208 | − | 0.237020i | ||||
\(227\) | −8.24758 | + | 14.2852i | −0.547411 | + | 0.948144i | 0.451040 | + | 0.892504i | \(0.351053\pi\) |
−0.998451 | + | 0.0556402i | \(0.982280\pi\) | |||||||
\(228\) | 12.2269 | + | 0.958498i | 0.809746 | + | 0.0634781i | ||||
\(229\) | −2.42135 | − | 4.19390i | −0.160007 | − | 0.277140i | 0.774864 | − | 0.632128i | \(-0.217818\pi\) |
−0.934871 | + | 0.354988i | \(0.884485\pi\) | |||||||
\(230\) | 0.419163 | + | 2.37719i | 0.0276388 | + | 0.156747i | ||||
\(231\) | 0.416468 | − | 0.275470i | 0.0274016 | − | 0.0181246i | ||||
\(232\) | −10.9883 | + | 3.99940i | −0.721415 | + | 0.262574i | ||||
\(233\) | 10.7581 | + | 12.8210i | 0.704786 | + | 0.839932i | 0.993059 | − | 0.117617i | \(-0.0375254\pi\) |
−0.288273 | + | 0.957548i | \(0.593081\pi\) | |||||||
\(234\) | −9.98239 | − | 4.24450i | −0.652569 | − | 0.277472i | ||||
\(235\) | −3.41703 | + | 5.91848i | −0.222903 | + | 0.386079i | ||||
\(236\) | −12.1973 | −0.793979 | ||||||||
\(237\) | −2.76731 | + | 9.33175i | −0.179756 | + | 0.606163i | ||||
\(238\) | −1.39927 | + | 1.66759i | −0.0907013 | + | 0.108094i | ||||
\(239\) | −1.63304 | − | 0.942835i | −0.105632 | − | 0.0609870i | 0.446253 | − | 0.894907i | \(-0.352758\pi\) |
−0.551886 | + | 0.833920i | \(0.686091\pi\) | |||||||
\(240\) | 4.67140 | − | 6.30898i | 0.301537 | − | 0.407243i | ||||
\(241\) | 13.8818 | − | 16.5437i | 0.894206 | − | 1.06567i | −0.103268 | − | 0.994654i | \(-0.532930\pi\) |
0.997475 | − | 0.0710202i | \(-0.0226255\pi\) | |||||||
\(242\) | 5.14258 | − | 4.31513i | 0.330577 | − | 0.277387i | ||||
\(243\) | 14.8742 | − | 4.66472i | 0.954177 | − | 0.299242i | ||||
\(244\) | −1.41097 | − | 8.00200i | −0.0903280 | − | 0.512276i | ||||
\(245\) | 7.97430 | + | 9.50340i | 0.509459 | + | 0.607150i | ||||
\(246\) | −1.08816 | + | 9.52471i | −0.0693788 | + | 0.607273i | ||||
\(247\) | −23.8400 | + | 9.64903i | −1.51690 | + | 0.613953i | ||||
\(248\) | 6.87357 | − | 3.96846i | 0.436472 | − | 0.251997i | ||||
\(249\) | 23.5593 | − | 15.5832i | 1.49301 | − | 0.987544i | ||||
\(250\) | −2.13154 | + | 5.85635i | −0.134810 | + | 0.370388i | ||||
\(251\) | −2.14692 | + | 2.55860i | −0.135512 | + | 0.161497i | −0.829533 | − | 0.558458i | \(-0.811393\pi\) |
0.694020 | + | 0.719955i | \(0.255838\pi\) | |||||||
\(252\) | 5.88027 | − | 2.99160i | 0.370422 | − | 0.188453i | ||||
\(253\) | −0.0606688 | + | 0.344070i | −0.00381421 | + | 0.0216315i | ||||
\(254\) | 1.83454 | − | 1.05917i | 0.115109 | − | 0.0664583i | ||||
\(255\) | 8.76922 | + | 6.49305i | 0.549150 | + | 0.406611i | ||||
\(256\) | −4.82836 | − | 4.05148i | −0.301773 | − | 0.253217i | ||||
\(257\) | 5.04333 | + | 4.23186i | 0.314594 | + | 0.263976i | 0.786388 | − | 0.617733i | \(-0.211949\pi\) |
−0.471793 | + | 0.881709i | \(0.656393\pi\) | |||||||
\(258\) | −1.14482 | − | 0.847668i | −0.0712735 | − | 0.0527735i | ||||
\(259\) | 9.40252 | − | 5.42855i | 0.584244 | − | 0.337313i | ||||
\(260\) | −3.99591 | + | 22.6620i | −0.247816 | + | 1.40543i | ||||
\(261\) | −0.836276 | + | 15.7719i | −0.0517642 | + | 0.976255i | ||||
\(262\) | 3.84938 | − | 4.58751i | 0.237815 | − | 0.283417i | ||||
\(263\) | −1.92918 | + | 5.30037i | −0.118958 | + | 0.326835i | −0.984853 | − | 0.173391i | \(-0.944528\pi\) |
0.865895 | + | 0.500226i | \(0.166750\pi\) | |||||||
\(264\) | −0.683286 | + | 0.451955i | −0.0420533 | + | 0.0278159i | ||||
\(265\) | 20.7748 | − | 11.9943i | 1.27618 | − | 0.736805i | ||||
\(266\) | −1.11536 | + | 3.43992i | −0.0683873 | + | 0.210915i | ||||
\(267\) | −0.770044 | + | 6.74020i | −0.0471259 | + | 0.412494i | ||||
\(268\) | −10.3570 | − | 12.3430i | −0.632655 | − | 0.753969i | ||||
\(269\) | 0.178129 | + | 1.01022i | 0.0108607 | + | 0.0615942i | 0.989756 | − | 0.142766i | \(-0.0455997\pi\) |
−0.978896 | + | 0.204360i | \(0.934489\pi\) | |||||||
\(270\) | 3.87404 | + | 6.59069i | 0.235767 | + | 0.401097i | ||||
\(271\) | 21.3831 | − | 17.9426i | 1.29893 | − | 1.08993i | 0.308604 | − | 0.951191i | \(-0.400138\pi\) |
0.990328 | − | 0.138743i | \(-0.0443062\pi\) | |||||||
\(272\) | −3.18402 | + | 3.79457i | −0.193060 | + | 0.230080i | ||||
\(273\) | −8.23286 | + | 11.1189i | −0.498276 | + | 0.672949i | ||||
\(274\) | 8.96801 | + | 5.17768i | 0.541777 | + | 0.312795i | ||||
\(275\) | 0.104588 | − | 0.124643i | 0.00630689 | − | 0.00751626i | ||||
\(276\) | −1.31244 | + | 4.42575i | −0.0789999 | + | 0.266399i | ||||
\(277\) | 24.0100 | 1.44262 | 0.721312 | − | 0.692610i | \(-0.243539\pi\) | ||||
0.721312 | + | 0.692610i | \(0.243539\pi\) | |||||||
\(278\) | −6.37213 | + | 11.0369i | −0.382175 | + | 0.661947i | ||||
\(279\) | −1.29993 | − | 10.6411i | −0.0778247 | − | 0.637064i | ||||
\(280\) | 4.64039 | + | 5.53020i | 0.277316 | + | 0.330493i | ||||
\(281\) | −9.92863 | + | 3.61372i | −0.592292 | + | 0.215577i | −0.620737 | − | 0.784019i | \(-0.713167\pi\) |
0.0284451 | + | 0.999595i | \(0.490944\pi\) | |||||||
\(282\) | 2.51998 | − | 1.66683i | 0.150063 | − | 0.0992583i | ||||
\(283\) | 4.38438 | + | 24.8650i | 0.260624 | + | 1.47807i | 0.781212 | + | 0.624266i | \(0.214602\pi\) |
−0.520588 | + | 0.853808i | \(0.674287\pi\) | |||||||
\(284\) | −8.41210 | − | 14.5702i | −0.499166 | − | 0.864582i | ||||
\(285\) | 17.5501 | + | 4.53300i | 1.03958 | + | 0.268512i | ||||
\(286\) | 0.384987 | − | 0.666816i | 0.0227647 | − | 0.0394297i | ||||
\(287\) | 11.4899 | + | 4.18197i | 0.678226 | + | 0.246854i | ||||
\(288\) | −14.9712 | + | 7.61662i | −0.882185 | + | 0.448814i | ||||
\(289\) | 7.74845 | + | 6.50173i | 0.455791 | + | 0.382454i | ||||
\(290\) | −7.62811 | + | 1.34504i | −0.447938 | + | 0.0789835i | ||||
\(291\) | 7.72035 | + | 8.14056i | 0.452575 | + | 0.477208i | ||||
\(292\) | 12.4651 | 0.729463 | ||||||||
\(293\) | −4.14145 | + | 7.17321i | −0.241946 | + | 0.419063i | −0.961269 | − | 0.275613i | \(-0.911119\pi\) |
0.719322 | + | 0.694676i | \(0.244452\pi\) | |||||||
\(294\) | −1.27873 | − | 5.33350i | −0.0745770 | − | 0.311056i | ||||
\(295\) | −17.7530 | − | 3.13034i | −1.03362 | − | 0.182255i | ||||
\(296\) | −15.4264 | + | 8.90644i | −0.896642 | + | 0.517677i | ||||
\(297\) | 0.200645 | + | 1.08817i | 0.0116426 | + | 0.0631421i | ||||
\(298\) | −6.82766 | − | 1.20390i | −0.395516 | − | 0.0697401i | ||||
\(299\) | −1.68098 | − | 9.53330i | −0.0972135 | − | 0.551325i | ||||
\(300\) | 1.55990 | − | 1.47938i | 0.0900609 | − | 0.0854121i | ||||
\(301\) | −1.39179 | + | 1.16785i | −0.0802214 | + | 0.0673138i | ||||
\(302\) | 7.41134 | − | 1.30682i | 0.426475 | − | 0.0751990i | ||||
\(303\) | 0.344304 | − | 0.465001i | 0.0197797 | − | 0.0267136i | ||||
\(304\) | −2.53800 | + | 7.82750i | −0.145564 | + | 0.448938i | ||||
\(305\) | − | 12.0089i | − | 0.687628i | ||||||
\(306\) | −2.18740 | − | 4.29954i | −0.125045 | − | 0.245788i | ||||
\(307\) | 2.56320 | − | 0.451961i | 0.146290 | − | 0.0257948i | −0.100024 | − | 0.994985i | \(-0.531892\pi\) |
0.246313 | + | 0.969190i | \(0.420781\pi\) | |||||||
\(308\) | 0.160172 | + | 0.440069i | 0.00912665 | + | 0.0250753i | ||||
\(309\) | 18.4149 | + | 9.18841i | 1.04759 | + | 0.522710i | ||||
\(310\) | 4.94037 | − | 1.79815i | 0.280594 | − | 0.102128i | ||||
\(311\) | − | 14.3781i | − | 0.815309i | −0.913136 | − | 0.407655i | \(-0.866347\pi\) | ||
0.913136 | − | 0.407655i | \(-0.133653\pi\) | |||||||
\(312\) | 13.5074 | − | 18.2425i | 0.764706 | − | 1.03278i | ||||
\(313\) | 3.18914 | − | 18.0865i | 0.180261 | − | 1.02231i | −0.751634 | − | 0.659580i | \(-0.770734\pi\) |
0.931895 | − | 0.362729i | \(-0.118155\pi\) | |||||||
\(314\) | −2.78683 | + | 1.01432i | −0.157270 | + | 0.0572415i | ||||
\(315\) | 9.32641 | − | 2.84511i | 0.525484 | − | 0.160304i | ||||
\(316\) | −7.90578 | − | 4.56440i | −0.444735 | − | 0.256768i | ||||
\(317\) | −20.0836 | − | 16.8521i | −1.12801 | − | 0.946510i | −0.129026 | − | 0.991641i | \(-0.541185\pi\) |
−0.998981 | + | 0.0451313i | \(0.985629\pi\) | |||||||
\(318\) | −10.5859 | + | 0.644199i | −0.593626 | + | 0.0361249i | ||||
\(319\) | −1.10408 | − | 0.194678i | −0.0618164 | − | 0.0108999i | ||||
\(320\) | 0.531454 | + | 0.633363i | 0.0297092 | + | 0.0354060i | ||||
\(321\) | 14.8174 | − | 29.6962i | 0.827026 | − | 1.65748i | ||||
\(322\) | −1.17877 | − | 0.680563i | −0.0656903 | − | 0.0379263i | ||||
\(323\) | −10.8799 | − | 3.52771i | −0.605374 | − | 0.196287i | ||||
\(324\) | 1.00195 | + | 14.5858i | 0.0556637 | + | 0.810320i | ||||
\(325\) | −1.54192 | + | 4.23640i | −0.0855305 | + | 0.234993i | ||||
\(326\) | 6.27260 | + | 2.28304i | 0.347407 | + | 0.126446i | ||||
\(327\) | −15.6262 | − | 16.4767i | −0.864130 | − | 0.911163i | ||||
\(328\) | −18.8511 | − | 6.86123i | −1.04088 | − | 0.378848i | ||||
\(329\) | −1.31800 | − | 3.62118i | −0.0726639 | − | 0.199642i | ||||
\(330\) | −0.497720 | + | 0.216233i | −0.0273986 | + | 0.0119032i | ||||
\(331\) | − | 3.89688i | − | 0.214192i | −0.994249 | − | 0.107096i | \(-0.965845\pi\) | ||
0.994249 | − | 0.107096i | \(-0.0341552\pi\) | |||||||
\(332\) | 9.06083 | + | 24.8944i | 0.497278 | + | 1.36626i | ||||
\(333\) | 2.91744 | + | 23.8818i | 0.159875 | + | 1.30872i | ||||
\(334\) | 6.14668 | + | 10.6464i | 0.336331 | + | 0.582543i | ||||
\(335\) | −11.9067 | − | 20.6231i | −0.650535 | − | 1.12676i | ||||
\(336\) | 1.03204 | + | 4.30455i | 0.0563021 | + | 0.234833i | ||||
\(337\) | −2.57105 | + | 7.06390i | −0.140054 | + | 0.384795i | −0.989813 | − | 0.142377i | \(-0.954526\pi\) |
0.849758 | + | 0.527172i | \(0.176748\pi\) | |||||||
\(338\) | −2.32123 | + | 13.1643i | −0.126258 | + | 0.716046i | ||||
\(339\) | −16.2446 | − | 24.5592i | −0.882284 | − | 1.33388i | ||||
\(340\) | −7.83941 | + | 6.57805i | −0.425152 | + | 0.356745i | ||||
\(341\) | 0.760949 | 0.0412077 | ||||||||
\(342\) | −6.04792 | − | 5.25738i | −0.327034 | − | 0.284286i | ||||
\(343\) | −16.4719 | −0.889398 | ||||||||
\(344\) | 2.28347 | − | 1.91606i | 0.123116 | − | 0.103307i | ||||
\(345\) | −3.04607 | + | 6.10478i | −0.163995 | + | 0.328670i | ||||
\(346\) | −0.760567 | + | 4.31339i | −0.0408884 | + | 0.231889i | ||||
\(347\) | −12.3808 | + | 34.0160i | −0.664636 | + | 1.82607i | −0.110089 | + | 0.993922i | \(0.535113\pi\) |
−0.554548 | + | 0.832152i | \(0.687109\pi\) | |||||||
\(348\) | −14.2017 | − | 4.21146i | −0.761289 | − | 0.225758i | ||||
\(349\) | −4.15719 | − | 7.20046i | −0.222529 | − | 0.385432i | 0.733046 | − | 0.680179i | \(-0.238098\pi\) |
−0.955575 | + | 0.294747i | \(0.904765\pi\) | |||||||
\(350\) | 0.316948 | + | 0.548970i | 0.0169416 | + | 0.0293437i | ||||
\(351\) | −15.5361 | − | 26.4308i | −0.829258 | − | 1.41077i | ||||
\(352\) | −0.407798 | − | 1.12042i | −0.0217357 | − | 0.0597183i | ||||
\(353\) | − | 21.4379i | − | 1.14102i | −0.821290 | − | 0.570512i | \(-0.806745\pi\) | ||
0.821290 | − | 0.570512i | \(-0.193255\pi\) | |||||||
\(354\) | 6.40509 | + | 4.74256i | 0.340427 | + | 0.252064i | ||||
\(355\) | −8.50437 | − | 23.3656i | −0.451365 | − | 1.24012i | ||||
\(356\) | −5.97892 | − | 2.17615i | −0.316882 | − | 0.115336i | ||||
\(357\) | −5.98315 | + | 1.43449i | −0.316662 | + | 0.0759211i | ||||
\(358\) | 0.636459 | + | 0.231652i | 0.0336379 | + | 0.0122432i | ||||
\(359\) | 11.3838 | − | 31.2766i | 0.600812 | − | 1.65072i | −0.148822 | − | 0.988864i | \(-0.547548\pi\) |
0.749634 | − | 0.661853i | \(-0.230230\pi\) | |||||||
\(360\) | −15.3016 | + | 4.66789i | −0.806463 | + | 0.246019i | ||||
\(361\) | −18.9521 | + | 1.34865i | −0.997478 | + | 0.0709816i | ||||
\(362\) | −3.05077 | − | 1.76136i | −0.160345 | − | 0.0925751i | ||||
\(363\) | 18.9390 | − | 1.15252i | 0.994039 | − | 0.0604918i | ||||
\(364\) | −8.34063 | − | 9.93998i | −0.437168 | − | 0.520997i | ||||
\(365\) | 18.1427 | + | 3.19905i | 0.949633 | + | 0.167446i | ||||
\(366\) | −2.37040 | + | 4.75064i | −0.123903 | + | 0.248320i | ||||
\(367\) | 6.22477 | + | 5.22321i | 0.324931 | + | 0.272649i | 0.790631 | − | 0.612294i | \(-0.209753\pi\) |
−0.465700 | + | 0.884943i | \(0.654197\pi\) | |||||||
\(368\) | −2.68228 | − | 1.54861i | −0.139823 | − | 0.0807271i | ||||
\(369\) | −18.4914 | + | 19.8052i | −0.962622 | + | 1.03102i | ||||
\(370\) | −11.0877 | + | 4.03560i | −0.576423 | + | 0.209801i | ||||
\(371\) | −2.34888 | + | 13.3212i | −0.121948 | + | 0.691601i | ||||
\(372\) | 9.98928 | + | 1.14124i | 0.517920 | + | 0.0591705i | ||||
\(373\) | − | 12.8929i | − | 0.667571i | −0.942649 | − | 0.333786i | \(-0.891674\pi\) | ||
0.942649 | − | 0.333786i | \(-0.108326\pi\) | |||||||
\(374\) | 0.321769 | − | 0.117115i | 0.0166383 | − | 0.00605585i | ||||
\(375\) | −14.6916 | + | 9.71765i | −0.758669 | + | 0.501818i | ||||
\(376\) | 2.16241 | + | 5.94116i | 0.111518 | + | 0.306392i | ||||
\(377\) | 30.5911 | − | 5.39404i | 1.57552 | − | 0.277807i | ||||
\(378\) | −4.25105 | − | 0.715406i | −0.218650 | − | 0.0367965i | ||||
\(379\) | − | 8.14641i | − | 0.418453i | −0.977867 | − | 0.209226i | \(-0.932905\pi\) | ||
0.977867 | − | 0.209226i | \(-0.0670946\pi\) | |||||||
\(380\) | −7.97183 | + | 15.0151i | −0.408946 | + | 0.770257i | ||||
\(381\) | 5.94857 | + | 0.679603i | 0.304755 | + | 0.0348171i | ||||
\(382\) | −4.82789 | + | 0.851288i | −0.247016 | + | 0.0435557i | ||||
\(383\) | 12.3997 | − | 10.4046i | 0.633593 | − | 0.531648i | −0.268450 | − | 0.963294i | \(-0.586511\pi\) |
0.902043 | + | 0.431646i | \(0.142067\pi\) | |||||||
\(384\) | −4.60730 | − | 19.2168i | −0.235115 | − | 0.980652i | ||||
\(385\) | 0.120188 | + | 0.681620i | 0.00612535 | + | 0.0347386i | ||||
\(386\) | −5.49976 | − | 0.969756i | −0.279930 | − | 0.0493593i | ||||
\(387\) | −1.17477 | − | 3.85095i | −0.0597169 | − | 0.195755i | ||||
\(388\) | −9.11264 | + | 5.26119i | −0.462624 | + | 0.267096i | ||||
\(389\) | 3.70389 | + | 0.653095i | 0.187794 | + | 0.0331132i | 0.266754 | − | 0.963765i | \(-0.414049\pi\) |
−0.0789598 | + | 0.996878i | \(0.525160\pi\) | |||||||
\(390\) | 10.9097 | − | 10.3466i | 0.552436 | − | 0.523920i | ||||
\(391\) | 2.15251 | − | 3.72826i | 0.108857 | − | 0.188546i | ||||
\(392\) | 11.4771 | 0.579680 | ||||||||
\(393\) | 16.4596 | − | 3.94626i | 0.830276 | − | 0.199062i | ||||
\(394\) | −1.53947 | + | 0.271450i | −0.0775575 | + | 0.0136755i | ||||
\(395\) | −10.3353 | − | 8.67237i | −0.520027 | − | 0.436354i | ||||
\(396\) | −1.03632 | − | 0.0549493i | −0.0520773 | − | 0.00276130i | ||||
\(397\) | 17.7014 | + | 6.44279i | 0.888408 | + | 0.323354i | 0.745598 | − | 0.666396i | \(-0.232164\pi\) |
0.142810 | + | 0.989750i | \(0.454386\pi\) | |||||||
\(398\) | 0.666661 | − | 1.15469i | 0.0334167 | − | 0.0578794i | ||||
\(399\) | −8.31915 | + | 5.93785i | −0.416478 | + | 0.297264i | ||||
\(400\) | 0.721211 | + | 1.24917i | 0.0360605 | + | 0.0624587i | ||||
\(401\) | −4.99660 | − | 28.3371i | −0.249518 | − | 1.41509i | −0.809761 | − | 0.586760i | \(-0.800403\pi\) |
0.560242 | − | 0.828329i | \(-0.310708\pi\) | |||||||
\(402\) | 0.639496 | + | 10.5086i | 0.0318952 | + | 0.524121i | ||||
\(403\) | −19.8124 | + | 7.21114i | −0.986928 | + | 0.359213i | ||||
\(404\) | 0.348811 | + | 0.415697i | 0.0173540 | + | 0.0206817i | ||||
\(405\) | −2.28499 | + | 21.4865i | −0.113542 | + | 1.06767i | ||||
\(406\) | 2.18384 | − | 3.78252i | 0.108382 | − | 0.187723i | ||||
\(407\) | −1.70780 | −0.0846527 | ||||||||
\(408\) | 9.81637 | − | 2.35352i | 0.485983 | − | 0.116516i | ||||
\(409\) | −8.01624 | + | 9.55338i | −0.396377 | + | 0.472384i | −0.926912 | − | 0.375279i | \(-0.877547\pi\) |
0.530534 | + | 0.847663i | \(0.321991\pi\) | |||||||
\(410\) | −11.5081 | − | 6.64419i | −0.568343 | − | 0.328133i | ||||
\(411\) | 11.6625 | + | 26.8444i | 0.575268 | + | 1.32414i | ||||
\(412\) | −12.4069 | + | 14.7859i | −0.611242 | + | 0.728449i | ||||
\(413\) | 7.78683 | − | 6.53393i | 0.383165 | − | 0.321514i | ||||
\(414\) | 2.41001 | − | 1.81375i | 0.118445 | − | 0.0891411i | ||||
\(415\) | 6.79896 | + | 38.5588i | 0.333748 | + | 1.89278i | ||||
\(416\) | 21.2353 | + | 25.3072i | 1.04114 | + | 1.24079i | ||||
\(417\) | −33.0372 | + | 14.3529i | −1.61784 | + | 0.702866i | ||||
\(418\) | 0.422487 | − | 0.380879i | 0.0206645 | − | 0.0186294i | ||||
\(419\) | 21.1781 | − | 12.2272i | 1.03462 | − | 0.597336i | 0.116312 | − | 0.993213i | \(-0.462893\pi\) |
0.918304 | + | 0.395877i | \(0.129559\pi\) | |||||||
\(420\) | 0.555490 | + | 9.12814i | 0.0271051 | + | 0.445408i | ||||
\(421\) | −12.2078 | + | 33.5405i | −0.594969 | + | 1.63466i | 0.166185 | + | 0.986095i | \(0.446855\pi\) |
−0.761155 | + | 0.648570i | \(0.775367\pi\) | |||||||
\(422\) | 2.27160 | − | 2.70719i | 0.110580 | − | 0.131784i | ||||
\(423\) | 8.52758 | + | 0.452160i | 0.414625 | + | 0.0219848i | ||||
\(424\) | 3.85374 | − | 21.8556i | 0.187154 | − | 1.06140i | ||||
\(425\) | −1.73630 | + | 1.00245i | −0.0842229 | + | 0.0486261i | ||||
\(426\) | −1.24779 | + | 10.9219i | −0.0604556 | + | 0.529168i | ||||
\(427\) | 5.18732 | + | 4.35268i | 0.251032 | + | 0.210641i | ||||
\(428\) | 23.8440 | + | 20.0075i | 1.15254 | + | 0.967099i | ||||
\(429\) | 1.99601 | − | 0.867164i | 0.0963685 | − | 0.0418670i | ||||
\(430\) | 1.70999 | − | 0.987262i | 0.0824629 | − | 0.0476100i | ||||
\(431\) | −2.41299 | + | 13.6847i | −0.116230 | + | 0.659170i | 0.869905 | + | 0.493220i | \(0.164180\pi\) |
−0.986134 | + | 0.165950i | \(0.946931\pi\) | |||||||
\(432\) | −9.67322 | − | 1.62790i | −0.465403 | − | 0.0783222i | ||||
\(433\) | 22.9078 | − | 27.3004i | 1.10088 | − | 1.31197i | 0.154830 | − | 0.987941i | \(-0.450517\pi\) |
0.946046 | − | 0.324032i | \(-0.105039\pi\) | |||||||
\(434\) | −1.01394 | + | 2.78577i | −0.0486705 | + | 0.133721i | ||||
\(435\) | −19.5895 | − | 9.77445i | −0.939243 | − | 0.468649i | ||||
\(436\) | 18.4442 | − | 10.6488i | 0.883318 | − | 0.509984i | ||||
\(437\) | 0.990946 | − | 7.08250i | 0.0474034 | − | 0.338802i | ||||
\(438\) | −6.54568 | − | 4.84666i | −0.312765 | − | 0.231582i | ||||
\(439\) | 1.12626 | + | 1.34223i | 0.0537536 | + | 0.0640610i | 0.792251 | − | 0.610195i | \(-0.208909\pi\) |
−0.738498 | + | 0.674256i | \(0.764464\pi\) | |||||||
\(440\) | −0.197189 | − | 1.11831i | −0.00940060 | − | 0.0533135i | ||||
\(441\) | 6.06578 | − | 14.2657i | 0.288847 | − | 0.679321i | ||||
\(442\) | −7.26791 | + | 6.09850i | −0.345699 | + | 0.290076i | ||||
\(443\) | 16.4881 | − | 19.6498i | 0.783375 | − | 0.933590i | −0.215705 | − | 0.976458i | \(-0.569205\pi\) |
0.999081 | + | 0.0428681i | \(0.0136495\pi\) | |||||||
\(444\) | −22.4190 | − | 2.56129i | −1.06396 | − | 0.121554i | ||||
\(445\) | −8.14374 | − | 4.70179i | −0.386050 | − | 0.222886i | ||||
\(446\) | 8.26967 | − | 9.85540i | 0.391580 | − | 0.466667i | ||||
\(447\) | −13.4842 | − | 14.2181i | −0.637780 | − | 0.672493i | ||||
\(448\) | −0.466213 | −0.0220265 | ||||||||
\(449\) | −17.1648 | + | 29.7304i | −0.810059 | + | 1.40306i | 0.102763 | + | 0.994706i | \(0.467232\pi\) |
−0.912822 | + | 0.408358i | \(0.866102\pi\) | |||||||
\(450\) | −1.39435 | + | 0.170336i | −0.0657303 | + | 0.00802972i | ||||
\(451\) | −1.23629 | − | 1.47336i | −0.0582148 | − | 0.0693777i | ||||
\(452\) | 25.9510 | − | 9.44540i | 1.22063 | − | 0.444274i | ||||
\(453\) | 19.0328 | + | 9.49670i | 0.894239 | + | 0.446194i | ||||
\(454\) | 1.75532 | + | 9.95489i | 0.0823810 | + | 0.467206i | ||||
\(455\) | −9.58865 | − | 16.6080i | −0.449523 | − | 0.778597i | ||||
\(456\) | 13.6490 | − | 9.74204i | 0.639171 | − | 0.456213i | ||||
\(457\) | −5.00753 | + | 8.67330i | −0.234242 | + | 0.405720i | −0.959052 | − | 0.283229i | \(-0.908594\pi\) |
0.724810 | + | 0.688949i | \(0.241928\pi\) | |||||||
\(458\) | −2.78870 | − | 1.01500i | −0.130307 | − | 0.0474279i | ||||
\(459\) | 2.26271 | − | 13.4454i | 0.105614 | − | 0.627576i | ||||
\(460\) | −4.90171 | − | 4.11302i | −0.228543 | − | 0.191771i | ||||
\(461\) | −30.0961 | + | 5.30675i | −1.40171 | + | 0.247160i | −0.822847 | − | 0.568263i | \(-0.807616\pi\) |
−0.578866 | + | 0.815423i | \(0.696505\pi\) | |||||||
\(462\) | 0.0869974 | − | 0.293368i | 0.00404749 | − | 0.0136487i | ||||
\(463\) | 8.47540 | 0.393885 | 0.196943 | − | 0.980415i | \(-0.436899\pi\) | ||||
0.196943 | + | 0.980415i | \(0.436899\pi\) | |||||||
\(464\) | 4.96930 | − | 8.60709i | 0.230694 | − | 0.399574i | ||||
\(465\) | 14.2463 | + | 4.22471i | 0.660658 | + | 0.195916i | ||||
\(466\) | 10.1006 | + | 1.78101i | 0.467902 | + | 0.0825037i | ||||
\(467\) | 16.4095 | − | 9.47405i | 0.759343 | − | 0.438407i | −0.0697170 | − | 0.997567i | \(-0.522210\pi\) |
0.829060 | + | 0.559160i | \(0.188876\pi\) | |||||||
\(468\) | 27.5030 | − | 8.39005i | 1.27133 | − | 0.387830i | ||||
\(469\) | 13.2239 | + | 2.33173i | 0.610624 | + | 0.107669i | ||||
\(470\) | 0.727240 | + | 4.12438i | 0.0335451 | + | 0.190244i | ||||
\(471\) | −8.03626 | − | 2.38313i | −0.370291 | − | 0.109809i | ||||
\(472\) | −12.7756 | + | 10.7200i | −0.588045 | + | 0.493429i | ||||
\(473\) | 0.281447 | − | 0.0496266i | 0.0129409 | − | 0.00228183i | ||||
\(474\) | 2.37677 | + | 5.47079i | 0.109169 | + | 0.251282i | ||||
\(475\) | −2.04888 | + | 2.62577i | −0.0940089 | + | 0.120478i | ||||
\(476\) | − | 5.77052i | − | 0.264491i | ||||||
\(477\) | −25.1293 | − | 16.3411i | −1.15059 | − | 0.748206i | ||||
\(478\) | −1.13801 | + | 0.200662i | −0.0520513 | + | 0.00917805i | ||||
\(479\) | −5.21255 | − | 14.3213i | −0.238167 | − | 0.654359i | −0.999978 | − | 0.00656008i | \(-0.997912\pi\) |
0.761811 | − | 0.647799i | \(-0.224310\pi\) | |||||||
\(480\) | −1.41428 | − | 23.2403i | −0.0645526 | − | 1.06077i | ||||
\(481\) | 44.4652 | − | 16.1840i | 2.02744 | − | 0.737928i | ||||
\(482\) | − | 13.2345i | − | 0.602814i | ||||||
\(483\) | −1.53294 | − | 3.52847i | −0.0697510 | − | 0.160551i | ||||
\(484\) | −3.09014 | + | 17.5250i | −0.140461 | + | 0.796593i | ||||
\(485\) | −14.6135 | + | 5.31890i | −0.663567 | + | 0.241519i | ||||
\(486\) | 5.14508 | − | 8.04888i | 0.233386 | − | 0.365105i | ||||
\(487\) | 27.1431 | + | 15.6711i | 1.22997 | + | 0.710124i | 0.967024 | − | 0.254686i | \(-0.0819721\pi\) |
0.262947 | + | 0.964810i | \(0.415305\pi\) | |||||||
\(488\) | −8.51067 | − | 7.14130i | −0.385260 | − | 0.323271i | ||||
\(489\) | 10.4084 | + | 15.7358i | 0.470683 | + | 0.711598i | ||||
\(490\) | 7.48695 | + | 1.32015i | 0.338226 | + | 0.0596383i | ||||
\(491\) | −8.20427 | − | 9.77747i | −0.370253 | − | 0.441251i | 0.548459 | − | 0.836177i | \(-0.315215\pi\) |
−0.918713 | + | 0.394926i | \(0.870770\pi\) | |||||||
\(492\) | −14.0196 | − | 21.1955i | −0.632054 | − | 0.955566i | ||||
\(493\) | 11.9635 | + | 6.90713i | 0.538809 | + | 0.311081i | ||||
\(494\) | −7.39068 | + | 13.9205i | −0.332522 | + | 0.626311i | ||||
\(495\) | −1.49425 | − | 0.345941i | −0.0671616 | − | 0.0155489i | ||||
\(496\) | −2.30720 | + | 6.33898i | −0.103596 | + | 0.284629i | ||||
\(497\) | 13.1753 | + | 4.79543i | 0.590995 | + | 0.215105i | ||||
\(498\) | 4.92139 | − | 16.5956i | 0.220533 | − | 0.743668i | ||||
\(499\) | −14.6783 | − | 5.34245i | −0.657089 | − | 0.239161i | −0.00810997 | − | 0.999967i | \(-0.502582\pi\) |
−0.648979 | + | 0.760806i | \(0.724804\pi\) | |||||||
\(500\) | −5.65032 | − | 15.5241i | −0.252690 | − | 0.694261i | ||||
\(501\) | −3.94394 | + | 34.5213i | −0.176202 | + | 1.54230i | ||||
\(502\) | 2.04681i | 0.0913534i | ||||||||
\(503\) | 5.95501 | + | 16.3613i | 0.265521 | + | 0.729513i | 0.998771 | + | 0.0495542i | \(0.0157801\pi\) |
−0.733250 | + | 0.679959i | \(0.761998\pi\) | |||||||
\(504\) | 3.52979 | − | 8.30149i | 0.157229 | − | 0.369778i | ||||
\(505\) | 0.401004 | + | 0.694559i | 0.0178444 | + | 0.0309075i | ||||
\(506\) | 0.107052 | + | 0.185419i | 0.00475903 | + | 0.00824287i | ||||
\(507\) | −27.4138 | + | 25.9987i | −1.21749 | + | 1.15464i | ||||
\(508\) | −1.92056 | + | 5.27670i | −0.0852112 | + | 0.234116i | ||||
\(509\) | −6.02951 | + | 34.1951i | −0.267253 | + | 1.51567i | 0.495288 | + | 0.868729i | \(0.335063\pi\) |
−0.762541 | + | 0.646940i | \(0.776048\pi\) | |||||||
\(510\) | 6.67431 | − | 0.406163i | 0.295544 | − | 0.0179852i | ||||
\(511\) | −7.95775 | + | 6.67735i | −0.352030 | + | 0.295388i | ||||
\(512\) | 18.9559 | 0.837741 | ||||||||
\(513\) | −4.89547 | − | 22.1141i | −0.216140 | − | 0.976362i | ||||
\(514\) | 4.03452 | 0.177955 | ||||||||
\(515\) | −21.8526 | + | 18.3365i | −0.962943 | + | 0.808005i | ||||
\(516\) | 3.76909 | − | 0.229366i | 0.165925 | − | 0.0100973i | ||||
\(517\) | −0.105259 | + | 0.596954i | −0.00462929 | + | 0.0262540i | ||||
\(518\) | 2.27559 | − | 6.25212i | 0.0999835 | − | 0.274703i | ||||
\(519\) | −8.98232 | + | 8.51867i | −0.394280 | + | 0.373928i | ||||
\(520\) | 15.7318 | + | 27.2483i | 0.689885 | + | 1.19492i | ||||
\(521\) | −11.4232 | − | 19.7856i | −0.500460 | − | 0.866823i | −1.00000 | 0.000531511i | \(-0.999831\pi\) | |
0.499540 | − | 0.866291i | \(-0.333503\pi\) | |||||||
\(522\) | 5.82010 | + | 7.73341i | 0.254739 | + | 0.338482i | ||||
\(523\) | −4.04599 | − | 11.1163i | −0.176919 | − | 0.486080i | 0.819260 | − | 0.573423i | \(-0.194385\pi\) |
−0.996178 | + | 0.0873428i | \(0.972162\pi\) | |||||||
\(524\) | 15.8746i | 0.693487i | ||||||||
\(525\) | −0.203365 | + | 1.78006i | −0.00887559 | + | 0.0776881i | ||||
\(526\) | 1.18223 | + | 3.24814i | 0.0515475 | + | 0.141626i | ||||
\(527\) | −8.81093 | − | 3.20692i | −0.383810 | − | 0.139695i | ||||
\(528\) | 0.197962 | − | 0.667555i | 0.00861517 | − | 0.0290516i | ||||
\(529\) | −19.0835 | − | 6.94582i | −0.829717 | − | 0.301992i | ||||
\(530\) | 5.02788 | − | 13.8140i | 0.218397 | − | 0.600042i | ||||
\(531\) | 6.57264 | + | 21.5454i | 0.285228 | + | 0.934992i | ||||
\(532\) | −3.59643 | − | 8.88576i | −0.155925 | − | 0.385246i | ||||
\(533\) | 46.1510 | + | 26.6453i | 1.99902 | + | 1.15414i | ||||
\(534\) | 2.29353 | + | 3.46746i | 0.0992509 | + | 0.150052i | ||||
\(535\) | 29.5698 | + | 35.2399i | 1.27841 | + | 1.52356i | ||||
\(536\) | −21.6961 | − | 3.82560i | −0.937128 | − | 0.165241i | ||||
\(537\) | 1.05610 | + | 1.59666i | 0.0455741 | + | 0.0689009i | ||||
\(538\) | 0.481556 | + | 0.404073i | 0.0207614 | + | 0.0174208i | ||||
\(539\) | 0.952941 | + | 0.550181i | 0.0410461 | + | 0.0236980i | ||||
\(540\) | −19.0968 | − | 6.78232i | −0.821795 | − | 0.291865i | ||||
\(541\) | 29.2199 | − | 10.6352i | 1.25626 | − | 0.457242i | 0.373750 | − | 0.927530i | \(-0.378072\pi\) |
0.882513 | + | 0.470287i | \(0.155850\pi\) | |||||||
\(542\) | 2.97041 | − | 16.8460i | 0.127590 | − | 0.723598i | ||||
\(543\) | −3.96738 | − | 9.13201i | −0.170257 | − | 0.391892i | ||||
\(544\) | 14.6917i | 0.629904i | ||||||||
\(545\) | 29.5782 | − | 10.7656i | 1.26699 | − | 0.461147i | ||||
\(546\) | 0.514994 | + | 8.46270i | 0.0220397 | + | 0.362170i | ||||
\(547\) | −2.95216 | − | 8.11099i | −0.126225 | − | 0.346801i | 0.860443 | − | 0.509547i | \(-0.170187\pi\) |
−0.986668 | + | 0.162746i | \(0.947965\pi\) | |||||||
\(548\) | −27.0332 | + | 4.76668i | −1.15480 | + | 0.203623i | ||||
\(549\) | −13.3745 | + | 6.80429i | −0.570808 | + | 0.290400i | ||||
\(550\) | − | 0.0997108i | − | 0.00425168i | ||||||
\(551\) | 22.7268 | + | 3.17982i | 0.968196 | + | 0.135465i | ||||
\(552\) | 2.51504 | + | 5.78905i | 0.107047 | + | 0.246399i | ||||
\(553\) | 7.49216 | − | 1.32107i | 0.318599 | − | 0.0561776i | ||||
\(554\) | 11.2713 | − | 9.45777i | 0.478873 | − | 0.401822i | ||||
\(555\) | −31.9732 | − | 9.48156i | −1.35719 | − | 0.402470i | ||||
\(556\) | −5.86632 | − | 33.2696i | −0.248787 | − | 1.41094i | ||||
\(557\) | −13.9869 | − | 2.46627i | −0.592644 | − | 0.104499i | −0.130721 | − | 0.991419i | \(-0.541729\pi\) |
−0.461923 | + | 0.886920i | \(0.652840\pi\) | |||||||
\(558\) | −4.80185 | − | 4.48331i | −0.203279 | − | 0.189794i | ||||
\(559\) | −6.85759 | + | 3.95923i | −0.290045 | + | 0.167458i | ||||
\(560\) | −6.04255 | − | 1.06547i | −0.255345 | − | 0.0450241i | ||||
\(561\) | 0.927874 | + | 0.275158i | 0.0391749 | + | 0.0116172i | ||||
\(562\) | −3.23744 | + | 5.60741i | −0.136563 | + | 0.236534i | ||||
\(563\) | 1.37069 | 0.0577678 | 0.0288839 | − | 0.999583i | \(-0.490805\pi\) | ||||
0.0288839 | + | 0.999583i | \(0.490805\pi\) | |||||||
\(564\) | −2.27706 | + | 7.67859i | −0.0958817 | + | 0.323327i | ||||
\(565\) | 40.1954 | − | 7.08753i | 1.69103 | − | 0.298175i | ||||
\(566\) | 11.8528 | + | 9.94566i | 0.498209 | + | 0.418047i | ||||
\(567\) | −8.45302 | − | 8.77488i | −0.354993 | − | 0.368510i | ||||
\(568\) | −21.6164 | − | 7.86772i | −0.907003 | − | 0.330122i | ||||
\(569\) | 4.06382 | − | 7.03874i | 0.170364 | − | 0.295079i | −0.768183 | − | 0.640230i | \(-0.778839\pi\) |
0.938547 | + | 0.345151i | \(0.112172\pi\) | |||||||
\(570\) | 10.0243 | − | 4.78514i | 0.419873 | − | 0.200427i | ||||
\(571\) | 4.97865 | + | 8.62328i | 0.208350 | + | 0.360873i | 0.951195 | − | 0.308591i | \(-0.0998573\pi\) |
−0.742845 | + | 0.669464i | \(0.766524\pi\) | |||||||
\(572\) | 0.354427 | + | 2.01005i | 0.0148193 | + | 0.0840446i | ||||
\(573\) | −12.3983 | − | 6.18633i | −0.517948 | − | 0.258438i | ||||
\(574\) | 7.04115 | − | 2.56277i | 0.293892 | − | 0.106968i | ||||
\(575\) | −0.805798 | − | 0.960312i | −0.0336041 | − | 0.0400478i | ||||
\(576\) | 0.404259 | − | 0.950753i | 0.0168441 | − | 0.0396147i | ||||
\(577\) | −16.9104 | + | 29.2897i | −0.703989 | + | 1.21934i | 0.263066 | + | 0.964778i | \(0.415266\pi\) |
−0.967055 | + | 0.254567i | \(0.918067\pi\) | |||||||
\(578\) | 6.19854 | 0.257825 | ||||||||
\(579\) | −10.8617 | − | 11.4528i | −0.451395 | − | 0.475964i | ||||
\(580\) | 13.1982 | − | 15.7290i | 0.548024 | − | 0.653110i | ||||
\(581\) | −19.1200 | − | 11.0390i | −0.793233 | − | 0.457973i | ||||
\(582\) | 6.83090 | + | 0.780406i | 0.283150 | + | 0.0323489i | ||||
\(583\) | 1.36768 | − | 1.62993i | 0.0566434 | − | 0.0675049i | ||||
\(584\) | 13.0560 | − | 10.9553i | 0.540263 | − | 0.453334i | ||||
\(585\) | 42.1834 | − | 5.15319i | 1.74407 | − | 0.213058i | ||||
\(586\) | 0.881416 | + | 4.99876i | 0.0364110 | + | 0.206497i | ||||
\(587\) | −5.32697 | − | 6.34844i | −0.219868 | − | 0.262028i | 0.644824 | − | 0.764331i | \(-0.276931\pi\) |
−0.864692 | + | 0.502303i | \(0.832486\pi\) | |||||||
\(588\) | 11.6845 | + | 8.65162i | 0.481860 | + | 0.356787i | ||||
\(589\) | −15.5662 | + | 0.553155i | −0.641395 | + | 0.0227924i | ||||
\(590\) | −9.56710 | + | 5.52356i | −0.393871 | + | 0.227402i | ||||
\(591\) | −3.95346 | − | 1.97264i | −0.162624 | − | 0.0811435i | ||||
\(592\) | 5.17807 | − | 14.2266i | 0.212817 | − | 0.584711i | ||||
\(593\) | 11.1484 | − | 13.2861i | 0.457810 | − | 0.545597i | −0.486920 | − | 0.873447i | \(-0.661880\pi\) |
0.944730 | + | 0.327850i | \(0.106324\pi\) | |||||||
\(594\) | 0.522831 | + | 0.431798i | 0.0214520 | + | 0.0177169i | ||||
\(595\) | 1.48095 | − | 8.39890i | 0.0607132 | − | 0.344321i | ||||
\(596\) | 15.9159 | − | 9.18906i | 0.651941 | − | 0.376398i | ||||
\(597\) | 3.45639 | − | 1.50162i | 0.141461 | − | 0.0614573i | ||||
\(598\) | −4.54437 | − | 3.81318i | −0.185833 | − | 0.155933i | ||||
\(599\) | 10.7279 | + | 9.00179i | 0.438331 | + | 0.367803i | 0.835084 | − | 0.550122i | \(-0.185419\pi\) |
−0.396753 | + | 0.917925i | \(0.629863\pi\) | |||||||
\(600\) | 0.333655 | − | 2.92049i | 0.0136214 | − | 0.119228i | ||||
\(601\) | 6.29360 | − | 3.63361i | 0.256721 | − | 0.148218i | −0.366117 | − | 0.930569i | \(-0.619313\pi\) |
0.622838 | + | 0.782351i | \(0.285980\pi\) | |||||||
\(602\) | −0.193338 | + | 1.09648i | −0.00787989 | + | 0.0446891i | ||||
\(603\) | −16.2218 | + | 24.9458i | −0.660602 | + | 1.01587i | ||||
\(604\) | −12.8231 | + | 15.2820i | −0.521765 | + | 0.621816i | ||||
\(605\) | −8.99529 | + | 24.7144i | −0.365711 | + | 1.00478i | ||||
\(606\) | −0.0215374 | − | 0.353916i | −0.000874897 | − | 0.0143768i | ||||
\(607\) | 6.15466 | − | 3.55340i | 0.249810 | − | 0.144228i | −0.369867 | − | 0.929085i | \(-0.620597\pi\) |
0.619677 | + | 0.784857i | \(0.287263\pi\) | |||||||
\(608\) | 9.15650 | + | 22.6231i | 0.371345 | + | 0.917489i | ||||
\(609\) | 11.3224 | − | 4.91900i | 0.458807 | − | 0.199328i | ||||
\(610\) | −4.73041 | − | 5.63748i | −0.191529 | − | 0.228255i | ||||
\(611\) | −2.91646 | − | 16.5401i | −0.117987 | − | 0.669140i | ||||
\(612\) | 11.7679 | + | 5.00370i | 0.475689 | + | 0.202262i | ||||
\(613\) | −20.3676 | + | 17.0904i | −0.822640 | + | 0.690277i | −0.953589 | − | 0.301112i | \(-0.902642\pi\) |
0.130949 | + | 0.991389i | \(0.458198\pi\) | |||||||
\(614\) | 1.02524 | − | 1.22184i | 0.0413755 | − | 0.0493093i | ||||
\(615\) | −14.9657 | − | 34.4477i | −0.603476 | − | 1.38907i | ||||
\(616\) | 0.554534 | + | 0.320160i | 0.0223428 | + | 0.0128996i | ||||
\(617\) | −4.45163 | + | 5.30524i | −0.179216 | + | 0.213581i | −0.848172 | − | 0.529721i | \(-0.822297\pi\) |
0.668956 | + | 0.743302i | \(0.266741\pi\) | |||||||
\(618\) | 12.2641 | − | 2.94038i | 0.493336 | − | 0.118280i | ||||
\(619\) | 6.66725 | 0.267979 | 0.133990 | − | 0.990983i | \(-0.457221\pi\) | ||||
0.133990 | + | 0.990983i | \(0.457221\pi\) | |||||||
\(620\) | −6.96826 | + | 12.0694i | −0.279852 | + | 0.484718i | ||||
\(621\) | 8.52488 | − | 0.0665471i | 0.342092 | − | 0.00267044i | ||||
\(622\) | −5.66367 | − | 6.74970i | −0.227093 | − | 0.270638i | ||||
\(623\) | 4.98270 | − | 1.81355i | 0.199628 | − | 0.0726585i | ||||
\(624\) | 1.17186 | + | 19.2568i | 0.0469121 | + | 0.770888i | ||||
\(625\) | −4.90323 | − | 27.8076i | −0.196129 | − | 1.11230i | ||||
\(626\) | −5.62732 | − | 9.74680i | −0.224913 | − | 0.389560i | ||||
\(627\) | 1.60028 | − | 0.154586i | 0.0639090 | − | 0.00617355i | ||||
\(628\) | 3.93075 | − | 6.80825i | 0.156854 | − | 0.271679i | ||||
\(629\) | 19.7744 | + | 7.19731i | 0.788458 | + | 0.286975i | ||||
\(630\) | 3.25750 | − | 5.00937i | 0.129782 | − | 0.199578i | ||||
\(631\) | −28.4771 | − | 23.8951i | −1.13365 | − | 0.951248i | −0.134441 | − | 0.990922i | \(-0.542924\pi\) |
−0.999213 | + | 0.0396733i | \(0.987368\pi\) | |||||||
\(632\) | −12.2922 | + | 2.16744i | −0.488956 | + | 0.0862161i | ||||
\(633\) | 9.71317 | − | 2.32877i | 0.386064 | − | 0.0925604i | ||||
\(634\) | −16.0663 | −0.638074 | ||||||||
\(635\) | −4.14957 | + | 7.18727i | −0.164671 | + | 0.285218i | ||||
\(636\) | 20.3985 | − | 19.3456i | 0.808854 | − | 0.767102i | ||||
\(637\) | −30.0250 | − | 5.29423i | −1.18964 | − | 0.209765i | ||||
\(638\) | −0.594985 | + | 0.343515i | −0.0235557 | + | 0.0135999i | ||||
\(639\) | −21.2039 | + | 22.7104i | −0.838814 | + | 0.898411i | ||||
\(640\) | 26.9757 | + | 4.75655i | 1.06631 | + | 0.188019i | ||||
\(641\) | 5.77012 | + | 32.7240i | 0.227906 | + | 1.29252i | 0.857051 | + | 0.515232i | \(0.172294\pi\) |
−0.629145 | + | 0.777288i | \(0.716595\pi\) | |||||||
\(642\) | −4.74171 | − | 19.7774i | −0.187140 | − | 0.780551i | ||||
\(643\) | −13.9016 | + | 11.6648i | −0.548224 | + | 0.460015i | −0.874339 | − | 0.485316i | \(-0.838705\pi\) |
0.326115 | + | 0.945330i | \(0.394260\pi\) | |||||||
\(644\) | 3.55329 | − | 0.626541i | 0.140019 | − | 0.0246892i | ||||
\(645\) | 5.54471 | + | 0.633463i | 0.218323 | + | 0.0249426i | ||||
\(646\) | −6.49708 | + | 2.62963i | −0.255624 | + | 0.103462i | ||||
\(647\) | − | 4.03472i | − | 0.158621i | −0.996850 | − | 0.0793107i | \(-0.974728\pi\) | ||
0.996850 | − | 0.0793107i | \(-0.0252719\pi\) | |||||||
\(648\) | 13.8686 | + | 14.3967i | 0.544810 | + | 0.565555i | ||||
\(649\) | −1.57465 | + | 0.277653i | −0.0618103 | + | 0.0108988i | ||||
\(650\) | 0.944911 | + | 2.59612i | 0.0370624 | + | 0.101828i | ||||
\(651\) | −6.98854 | + | 4.62253i | −0.273902 | + | 0.181171i | ||||
\(652\) | −16.6276 | + | 6.05194i | −0.651186 | + | 0.237012i | ||||
\(653\) | 23.1593i | 0.906294i | 0.891436 | + | 0.453147i | \(0.149699\pi\) | ||||
−0.891436 | + | 0.453147i | \(0.850301\pi\) | |||||||
\(654\) | −13.8259 | − | 1.57956i | −0.540636 | − | 0.0617657i | ||||
\(655\) | −4.07409 | + | 23.1053i | −0.159188 | + | 0.902798i | ||||
\(656\) | 16.0221 | − | 5.83155i | 0.625556 | − | 0.227684i | ||||
\(657\) | −6.71691 | − | 22.0183i | −0.262052 | − | 0.859018i | ||||
\(658\) | −2.04514 | − | 1.18076i | −0.0797280 | − | 0.0460310i | ||||
\(659\) | −26.1518 | − | 21.9440i | −1.01873 | − | 0.854816i | −0.0292625 | − | 0.999572i | \(-0.509316\pi\) |
−0.989467 | + | 0.144756i | \(0.953760\pi\) | |||||||
\(660\) | 0.642251 | − | 1.28717i | 0.0249996 | − | 0.0501029i | ||||
\(661\) | −28.8821 | − | 5.09269i | −1.12338 | − | 0.198083i | −0.419057 | − | 0.907960i | \(-0.637639\pi\) |
−0.704325 | + | 0.709877i | \(0.748750\pi\) | |||||||
\(662\) | −1.53502 | − | 1.82936i | −0.0596601 | − | 0.0711001i | ||||
\(663\) | −26.7661 | + | 1.62884i | −1.03951 | + | 0.0632590i | ||||
\(664\) | 31.3697 | + | 18.1113i | 1.21738 | + | 0.702854i | ||||
\(665\) | −2.95409 | − | 13.8561i | −0.114555 | − | 0.537315i | ||||
\(666\) | 10.7768 | + | 10.0619i | 0.417594 | + | 0.389892i | ||||
\(667\) | −2.95422 | + | 8.11667i | −0.114388 | + | 0.314279i | ||||
\(668\) | −30.6223 | − | 11.1456i | −1.18481 | − | 0.431236i | ||||
\(669\) | 35.3603 | − | 8.47779i | 1.36711 | − | 0.327770i | ||||
\(670\) | −13.7132 | − | 4.99118i | −0.529785 | − | 0.192826i | ||||
\(671\) | −0.364305 | − | 1.00092i | −0.0140638 | − | 0.0386401i | ||||
\(672\) | 10.5514 | + | 7.81262i | 0.407028 | + | 0.301378i | ||||
\(673\) | − | 15.3248i | − | 0.590728i | −0.955385 | − | 0.295364i | \(-0.904559\pi\) | ||
0.955385 | − | 0.295364i | \(-0.0954410\pi\) | |||||||
\(674\) | 1.57557 | + | 4.32885i | 0.0606889 | + | 0.166741i | ||||
\(675\) | −3.45375 | − | 1.95824i | −0.132935 | − | 0.0753726i | ||||
\(676\) | −17.7173 | − | 30.6873i | −0.681436 | − | 1.18028i | ||||
\(677\) | 3.60132 | + | 6.23768i | 0.138410 | + | 0.239733i | 0.926895 | − | 0.375321i | \(-0.122467\pi\) |
−0.788485 | + | 0.615054i | \(0.789134\pi\) | |||||||
\(678\) | −17.3000 | − | 5.13027i | −0.664402 | − | 0.197027i | ||||
\(679\) | 2.99921 | − | 8.24027i | 0.115099 | − | 0.316232i | ||||
\(680\) | −2.42975 | + | 13.7798i | −0.0931768 | + | 0.528432i | ||||
\(681\) | −12.7559 | + | 25.5648i | −0.488808 | + | 0.979644i | ||||
\(682\) | 0.357222 | − | 0.299745i | 0.0136787 | − | 0.0114778i | ||||
\(683\) | −26.7216 | −1.02247 | −0.511236 | − | 0.859440i | \(-0.670812\pi\) | ||||
−0.511236 | + | 0.859440i | \(0.670812\pi\) | |||||||
\(684\) | 21.2393 | + | 0.370727i | 0.812106 | + | 0.0141751i | ||||
\(685\) | −40.5697 | −1.55009 | ||||||||
\(686\) | −7.73260 | + | 6.48842i | −0.295232 | + | 0.247729i | ||||
\(687\) | −4.62739 | − | 6.99588i | −0.176546 | − | 0.266909i | ||||
\(688\) | −0.439939 | + | 2.49502i | −0.0167725 | + | 0.0951217i | ||||
\(689\) | −20.1634 | + | 55.3985i | −0.768165 | + | 2.11052i | ||||
\(690\) | 0.974773 | + | 4.06572i | 0.0371090 | + | 0.154779i | ||||
\(691\) | −14.8317 | − | 25.6893i | −0.564224 | − | 0.977265i | −0.997121 | − | 0.0758219i | \(-0.975842\pi\) |
0.432897 | − | 0.901443i | \(-0.357491\pi\) | |||||||
\(692\) | −5.80521 | − | 10.0549i | −0.220681 | − | 0.382231i | ||||
\(693\) | 0.691029 | − | 0.520063i | 0.0262500 | − | 0.0197556i | ||||
\(694\) | 7.58712 | + | 20.8454i | 0.288003 | + | 0.791282i | ||||
\(695\) | − | 49.9289i | − | 1.89391i | ||||||
\(696\) | −18.5763 | + | 8.07044i | −0.704134 | + | 0.305909i | ||||
\(697\) | 8.10562 | + | 22.2700i | 0.307022 | + | 0.843536i | ||||
\(698\) | −4.78789 | − | 1.74265i | −0.181224 | − | 0.0659602i | ||||
\(699\) | 19.9480 | + | 21.0338i | 0.754504 | + | 0.795570i | ||||
\(700\) | −1.57901 | − | 0.574712i | −0.0596809 | − | 0.0217221i | ||||
\(701\) | −3.28213 | + | 9.01757i | −0.123964 | + | 0.340589i | −0.986115 | − | 0.166062i | \(-0.946895\pi\) |
0.862151 | + | 0.506651i | \(0.169117\pi\) | |||||||
\(702\) | −17.7046 | − | 6.28789i | −0.668218 | − | 0.237321i | ||||
\(703\) | 34.9354 | − | 1.24145i | 1.31761 | − | 0.0468222i | ||||
\(704\) | 0.0635096 | + | 0.0366673i | 0.00239361 | + | 0.00138195i | ||||
\(705\) | −5.28487 | + | 10.5917i | −0.199040 | + | 0.398906i | ||||
\(706\) | −8.44457 | − | 10.0638i | −0.317816 | − | 0.378758i | ||||
\(707\) | −0.445365 | − | 0.0785298i | −0.0167497 | − | 0.00295342i | ||||
\(708\) | −21.0874 | + | 1.28327i | −0.792513 | + | 0.0482281i | ||||
\(709\) | 18.4100 | + | 15.4478i | 0.691402 | + | 0.580155i | 0.919313 | − | 0.393527i | \(-0.128745\pi\) |
−0.227911 | + | 0.973682i | \(0.573190\pi\) | |||||||
\(710\) | −13.1962 | − | 7.61884i | −0.495245 | − | 0.285930i | ||||
\(711\) | −3.80248 | + | 16.4244i | −0.142604 | + | 0.615962i | ||||
\(712\) | −8.17496 | + | 2.97544i | −0.306369 | + | 0.111509i | ||||
\(713\) | 1.01805 | − | 5.77366i | 0.0381264 | − | 0.216225i | ||||
\(714\) | −2.24369 | + | 3.03023i | −0.0839679 | + | 0.113403i | ||||
\(715\) | 3.01656i | 0.112813i | ||||||||
\(716\) | −1.68714 | + | 0.614069i | −0.0630514 | + | 0.0229488i | ||||
\(717\) | −2.92248 | − | 1.45821i | −0.109142 | − | 0.0544580i | ||||
\(718\) | −6.97612 | − | 19.1667i | −0.260346 | − | 0.715296i | ||||
\(719\) | 21.3021 | − | 3.75613i | 0.794434 | − | 0.140080i | 0.238320 | − | 0.971187i | \(-0.423403\pi\) |
0.556113 | + | 0.831107i | \(0.312292\pi\) | |||||||
\(720\) | 7.41240 | − | 11.3988i | 0.276244 | − | 0.424807i | ||||
\(721\) | − | 16.0855i | − | 0.599057i | ||||||
\(722\) | −8.36566 | + | 8.09850i | −0.311338 | + | 0.301395i | ||||
\(723\) | 22.2591 | − | 30.0621i | 0.827824 | − | 1.11802i | ||||
\(724\) | 9.19625 | − | 1.62155i | 0.341776 | − | 0.0602643i | ||||
\(725\) | 3.08152 | − | 2.58570i | 0.114445 | − | 0.0960305i | ||||
\(726\) | 8.43677 | − | 8.00128i | 0.313118 | − | 0.296955i | ||||
\(727\) | −8.01126 | − | 45.4341i | −0.297121 | − | 1.68506i | −0.658453 | − | 0.752622i | \(-0.728789\pi\) |
0.361332 | − | 0.932437i | \(-0.382322\pi\) | |||||||
\(728\) | −17.4721 | − | 3.08081i | −0.647560 | − | 0.114182i | ||||
\(729\) | 25.2244 | − | 9.62951i | 0.934239 | − | 0.356648i | ||||
\(730\) | 9.77709 | − | 5.64481i | 0.361866 | − | 0.208924i | ||||
\(731\) | −3.46798 | − | 0.611498i | −0.128268 | − | 0.0226171i | ||||
\(732\) | −3.28124 | − | 13.6858i | −0.121278 | − | 0.505843i | ||||
\(733\) | 1.24814 | − | 2.16184i | 0.0461010 | − | 0.0798493i | −0.842054 | − | 0.539393i | \(-0.818654\pi\) |
0.888155 | + | 0.459544i | \(0.151987\pi\) | |||||||
\(734\) | 4.97964 | 0.183802 | ||||||||
\(735\) | 14.7862 | + | 15.5910i | 0.545398 | + | 0.575083i | ||||
\(736\) | −9.04668 | + | 1.59517i | −0.333465 | + | 0.0587989i | ||||
\(737\) | −1.61803 | − | 1.35769i | −0.0596010 | − | 0.0500112i | ||||
\(738\) | −0.879194 | + | 16.5813i | −0.0323636 | + | 0.610366i | ||||
\(739\) | 21.6651 | + | 7.88546i | 0.796965 | + | 0.290071i | 0.708228 | − | 0.705984i | \(-0.249495\pi\) |
0.0887366 | + | 0.996055i | \(0.471717\pi\) | |||||||
\(740\) | 15.6389 | − | 27.0874i | 0.574898 | − | 0.995753i | ||||
\(741\) | −40.2007 | + | 19.1899i | −1.47681 | + | 0.704960i | ||||
\(742\) | 4.14466 | + | 7.17877i | 0.152155 | + | 0.263541i | ||||
\(743\) | −0.425244 | − | 2.41168i | −0.0156007 | − | 0.0884760i | 0.976013 | − | 0.217711i | \(-0.0698590\pi\) |
−0.991614 | + | 0.129235i | \(0.958748\pi\) | |||||||
\(744\) | 11.4659 | − | 7.58404i | 0.420359 | − | 0.278044i | ||||
\(745\) | 25.5237 | − | 9.28985i | 0.935114 | − | 0.340354i | ||||
\(746\) | −5.07864 | − | 6.05249i | −0.185942 | − | 0.221597i | ||||
\(747\) | 39.0911 | − | 29.4197i | 1.43027 | − | 1.07641i | ||||
\(748\) | −0.453847 | + | 0.786087i | −0.0165943 | + | 0.0287422i | ||||
\(749\) | −25.9398 | −0.947820 | ||||||||
\(750\) | −3.06897 | + | 10.3490i | −0.112063 | + | 0.377893i | ||||
\(751\) | 12.5354 | − | 14.9392i | 0.457425 | − | 0.545138i | −0.487200 | − | 0.873291i | \(-0.661982\pi\) |
0.944625 | + | 0.328153i | \(0.106426\pi\) | |||||||
\(752\) | −4.65370 | − | 2.68681i | −0.169703 | − | 0.0979781i | ||||
\(753\) | −3.44252 | + | 4.64932i | −0.125452 | + | 0.169431i | ||||
\(754\) | 12.2360 | − | 14.5823i | 0.445609 | − | 0.531056i | ||||
\(755\) | −22.5858 | + | 18.9518i | −0.821983 | + | 0.689726i | ||||
\(756\) | 9.85138 | − | 5.79070i | 0.358291 | − | 0.210606i | ||||
\(757\) | −6.48157 | − | 36.7588i | −0.235577 | − | 1.33602i | −0.841396 | − | 0.540420i | \(-0.818266\pi\) |
0.605819 | − | 0.795603i | \(-0.292846\pi\) | |||||||
\(758\) | −3.20894 | − | 3.82427i | −0.116554 | − | 0.138904i | ||||
\(759\) | −0.0686883 | + | 0.601229i | −0.00249323 | + | 0.0218232i | ||||
\(760\) | 4.84669 | + | 22.7332i | 0.175808 | + | 0.824621i | ||||
\(761\) | −45.1859 | + | 26.0881i | −1.63799 | + | 0.945694i | −0.656465 | + | 0.754357i | \(0.727949\pi\) |
−0.981524 | + | 0.191337i | \(0.938718\pi\) | |||||||
\(762\) | 3.06021 | − | 2.02416i | 0.110860 | − | 0.0733276i | ||||
\(763\) | −6.07048 | + | 16.6785i | −0.219766 | + | 0.603802i | ||||
\(764\) | 8.35323 | − | 9.95499i | 0.302209 | − | 0.360159i | ||||
\(765\) | 15.8438 | + | 10.3029i | 0.572835 | + | 0.372503i | ||||
\(766\) | 1.72248 | − | 9.76867i | 0.0622358 | − | 0.352957i | ||||
\(767\) | 38.3671 | − | 22.1512i | 1.38536 | − | 0.799835i | ||||
\(768\) | −8.77377 | − | 6.49642i | −0.316596 | − | 0.234419i | ||||
\(769\) | 1.32416 | + | 1.11110i | 0.0477503 | + | 0.0400672i | 0.666350 | − | 0.745639i | \(-0.267855\pi\) |
−0.618600 | + | 0.785706i | \(0.712300\pi\) | |||||||
\(770\) | 0.324918 | + | 0.272638i | 0.0117092 | + | 0.00982520i | ||||
\(771\) | 9.16441 | + | 6.78566i | 0.330048 | + | 0.244379i | ||||
\(772\) | 12.8205 | − | 7.40189i | 0.461418 | − | 0.266400i | ||||
\(773\) | 0.754896 | − | 4.28123i | 0.0271517 | − | 0.153985i | −0.968218 | − | 0.250109i | \(-0.919533\pi\) |
0.995369 | + | 0.0961242i | \(0.0306446\pi\) | |||||||
\(774\) | −2.06841 | − | 1.34505i | −0.0743475 | − | 0.0483467i | ||||
\(775\) | −1.75504 | + | 2.09157i | −0.0630428 | + | 0.0751315i | ||||
\(776\) | −4.92071 | + | 13.5195i | −0.176643 | + | 0.485323i | ||||
\(777\) | 15.6844 | − | 10.3744i | 0.562676 | − | 0.372179i | ||||
\(778\) | 1.99602 | − | 1.15240i | 0.0715608 | − | 0.0413157i | ||||
\(779\) | 26.3610 | + | 29.2408i | 0.944482 | + | 1.04766i | ||||
\(780\) | −4.52411 | + | 39.5996i | −0.161989 | + | 1.41789i | ||||
\(781\) | −1.41765 | − | 1.68949i | −0.0507274 | − | 0.0604546i | ||||
\(782\) | −0.458114 | − | 2.59809i | −0.0163821 | − | 0.0929077i | ||||
\(783\) | 0.213541 | + | 27.3553i | 0.00763133 | + | 0.977597i | ||||
\(784\) | −7.47253 | + | 6.27020i | −0.266876 | + | 0.223936i | ||||
\(785\) | 7.46842 | − | 8.90051i | 0.266559 | − | 0.317673i | ||||
\(786\) | 6.17236 | − | 8.33612i | 0.220161 | − | 0.297339i | ||||
\(787\) | −33.1048 | − | 19.1130i | −1.18006 | − | 0.681307i | −0.224030 | − | 0.974582i | \(-0.571921\pi\) |
−0.956028 | + | 0.293276i | \(0.905255\pi\) | |||||||
\(788\) | 2.66360 | − | 3.17435i | 0.0948867 | − | 0.113082i | ||||
\(789\) | −2.77762 | + | 9.36653i | −0.0988859 | + | 0.333457i | ||||
\(790\) | −8.26796 | −0.294161 | ||||||||
\(791\) | −11.5075 | + | 19.9315i | −0.409159 | + | 0.708684i | ||||
\(792\) | −1.13375 | + | 0.853252i | −0.0402861 | + | 0.0303190i | ||||
\(793\) | 18.9705 | + | 22.6081i | 0.673660 | + | 0.802837i | ||||
\(794\) | 10.8477 | − | 3.94823i | 0.384969 | − | 0.140117i | ||||
\(795\) | 34.6546 | − | 22.9221i | 1.22907 | − | 0.812963i | ||||
\(796\) | 0.613743 | + | 3.48071i | 0.0217535 | + | 0.123370i | ||||
\(797\) | −12.9113 | − | 22.3631i | −0.457343 | − | 0.792140i | 0.541477 | − | 0.840716i | \(-0.317865\pi\) |
−0.998820 | + | 0.0485751i | \(0.984532\pi\) | |||||||
\(798\) | −1.56639 | + | 6.06446i | −0.0554496 | + | 0.214680i | ||||
\(799\) | 3.73456 | − | 6.46845i | 0.132119 | − | 0.228837i | ||||
\(800\) | 4.02015 | + | 1.46322i | 0.142134 | + | 0.0517325i | ||||
\(801\) | −0.622165 | + | 11.7338i | −0.0219831 | + | 0.414594i | ||||
\(802\) | −13.5079 | − | 11.3344i | −0.476979 | − | 0.400233i | ||||
\(803\) | 1.60921 | − | 0.283747i | 0.0567878 | − | 0.0100132i | ||||
\(804\) | −19.2043 | − | 20.2496i | −0.677285 | − | 0.714148i | ||||
\(805\) | 5.33256 | 0.187948 | ||||||||
\(806\) | −6.46027 | + | 11.1895i | −0.227553 | + | 0.394134i | ||||
\(807\) | 0.414243 | + | 1.72778i | 0.0145820 | + | 0.0608208i | ||||
\(808\) | 0.730696 | + | 0.128841i | 0.0257058 | + | 0.00453262i | ||||
\(809\) | 15.4313 | − | 8.90926i | 0.542535 | − | 0.313233i | −0.203571 | − | 0.979060i | \(-0.565255\pi\) |
0.746106 | + | 0.665827i | \(0.231921\pi\) | |||||||
\(810\) | 7.39105 | + | 10.9867i | 0.259695 | + | 0.386035i | ||||
\(811\) | −6.39075 | − | 1.12686i | −0.224410 | − | 0.0395695i | 0.0603125 | − | 0.998180i | \(-0.480790\pi\) |
−0.284722 | + | 0.958610i | \(0.591901\pi\) | |||||||
\(812\) | 2.01049 | + | 11.4021i | 0.0705544 | + | 0.400134i | ||||
\(813\) | 35.0806 | − | 33.2698i | 1.23033 | − | 1.16682i | ||||
\(814\) | −0.801716 | + | 0.672719i | −0.0281001 | + | 0.0235788i | ||||
\(815\) | −25.7543 | + | 4.54118i | −0.902135 | + | 0.159071i | ||||
\(816\) | −5.10549 | + | 6.89524i | −0.178728 | + | 0.241382i | ||||
\(817\) | −5.72128 | + | 1.21977i | −0.200162 | + | 0.0426743i | ||||
\(818\) | 7.64243i | 0.267211i | ||||||||
\(819\) | −13.0636 | + | 20.0892i | −0.456479 | + | 0.701973i | ||||
\(820\) | 34.6900 | − | 6.11678i | 1.21143 | − | 0.213607i | ||||
\(821\) | 14.1538 | + | 38.8874i | 0.493973 | + | 1.35718i | 0.897016 | + | 0.441998i | \(0.145730\pi\) |
−0.403043 | + | 0.915181i | \(0.632048\pi\) | |||||||
\(822\) | 16.0491 | + | 8.00794i | 0.559777 | + | 0.279309i | ||||
\(823\) | 16.6469 | − | 6.05899i | 0.580276 | − | 0.211203i | −0.0351713 | − | 0.999381i | \(-0.511198\pi\) |
0.615447 | + | 0.788178i | \(0.288975\pi\) | |||||||
\(824\) | 26.3910i | 0.919376i | ||||||||
\(825\) | 0.167704 | − | 0.226493i | 0.00583869 | − | 0.00788547i | ||||
\(826\) | 1.08170 | − | 6.13460i | 0.0376370 | − | 0.213450i | ||||
\(827\) | −8.30461 | + | 3.02263i | −0.288780 | + | 0.105107i | −0.482348 | − | 0.875980i | \(-0.660216\pi\) |
0.193569 | + | 0.981087i | \(0.437994\pi\) | |||||||
\(828\) | −1.80340 | + | 7.78955i | −0.0626723 | + | 0.270706i | ||||
\(829\) | 35.6777 | + | 20.5985i | 1.23914 | + | 0.715416i | 0.968918 | − | 0.247383i | \(-0.0795706\pi\) |
0.270219 | + | 0.962799i | \(0.412904\pi\) | |||||||
\(830\) | 18.3804 | + | 15.4230i | 0.637993 | + | 0.535339i | ||||
\(831\) | 41.5098 | − | 2.52606i | 1.43996 | − | 0.0876282i | ||||
\(832\) | −2.00105 | − | 0.352838i | −0.0693738 | − | 0.0122325i | ||||
\(833\) | −8.71532 | − | 10.3865i | −0.301968 | − | 0.359871i | ||||
\(834\) | −9.85531 | + | 19.7515i | −0.341261 | + | 0.683939i | ||||
\(835\) | −41.7098 | − | 24.0812i | −1.44343 | − | 0.833363i | ||||
\(836\) | −0.208937 | + | 1.49331i | −0.00722622 | + | 0.0516474i | ||||
\(837\) | −3.36692 | − | 18.2601i | −0.116378 | − | 0.631160i | ||||
\(838\) | 5.12549 | − | 14.0822i | 0.177057 | − | 0.486460i | ||||
\(839\) | 12.1875 | + | 4.43588i | 0.420758 | + | 0.153144i | 0.543718 | − | 0.839268i | \(-0.317016\pi\) |
−0.122959 | + | 0.992412i | \(0.539238\pi\) | |||||||
\(840\) | 8.60438 | + | 9.07270i | 0.296879 | + | 0.313038i | ||||
\(841\) | 1.20575 | + | 0.438857i | 0.0415775 | + | 0.0151330i | ||||
\(842\) | 7.48107 | + | 20.5541i | 0.257815 | + | 0.708340i | ||||
\(843\) | −16.7849 | + | 7.29217i | −0.578104 | + | 0.251156i | ||||
\(844\) | 9.36797i | 0.322459i | ||||||||
\(845\) | −17.9117 | − | 49.2119i | −0.616180 | − | 1.69294i | ||||
\(846\) | 4.18132 | − | 3.14683i | 0.143757 | − | 0.108190i | ||||
\(847\) | −7.41514 | − | 12.8434i | −0.254787 | − | 0.441304i | ||||
\(848\) | 9.43113 | + | 16.3352i | 0.323866 | + | 0.560953i | ||||
\(849\) | 10.1960 | + | 42.5267i | 0.349925 | + | 1.45951i | ||||
\(850\) | −0.420218 | + | 1.15454i | −0.0144133 | + | 0.0396003i | ||||
\(851\) | −2.28482 | + | 12.9579i | −0.0783228 | + | 0.444191i | ||||
\(852\) | −16.0762 | − | 24.3047i | −0.550761 | − | 0.832665i | ||||
\(853\) | −27.1392 | + | 22.7725i | −0.929228 | + | 0.779715i | −0.975679 | − | 0.219206i | \(-0.929653\pi\) |
0.0464505 | + | 0.998921i | \(0.485209\pi\) | |||||||
\(854\) | 4.14970 | 0.142000 | ||||||||
\(855\) | 30.8184 | + | 5.99047i | 1.05397 | + | 0.204870i | ||||
\(856\) | 42.5586 | 1.45462 | ||||||||
\(857\) | 21.0222 | − | 17.6398i | 0.718106 | − | 0.602562i | −0.208755 | − | 0.977968i | \(-0.566941\pi\) |
0.926861 | + | 0.375406i | \(0.122497\pi\) | |||||||
\(858\) | 0.595430 | − | 1.19333i | 0.0203276 | − | 0.0407396i | ||||
\(859\) | −3.20675 | + | 18.1864i | −0.109413 | + | 0.620511i | 0.879953 | + | 0.475061i | \(0.157574\pi\) |
−0.989366 | + | 0.145450i | \(0.953537\pi\) | |||||||
\(860\) | −1.79017 | + | 4.91846i | −0.0610444 | + | 0.167718i | ||||
\(861\) | 20.3043 | + | 6.02118i | 0.691968 | + | 0.205201i | ||||
\(862\) | 4.25778 | + | 7.37469i | 0.145021 | + | 0.251183i | ||||
\(863\) | 14.5665 | + | 25.2300i | 0.495850 | + | 0.858838i | 0.999989 | − | 0.00478491i | \(-0.00152309\pi\) |
−0.504138 | + | 0.863623i | \(0.668190\pi\) | |||||||
\(864\) | −25.0816 | + | 14.7431i | −0.853294 | + | 0.501571i | ||||
\(865\) | −5.86889 | − | 16.1246i | −0.199548 | − | 0.548254i | ||||
\(866\) | − | 21.8395i | − | 0.742137i | ||||||
\(867\) | 14.0800 | + | 10.4253i | 0.478181 | + | 0.354062i | ||||
\(868\) | −2.68777 | − | 7.38458i | −0.0912288 | − | 0.250649i | ||||
\(869\) | −1.12452 | − | 0.409291i | −0.0381467 | − | 0.0138842i | ||||
\(870\) | −13.0464 | + | 3.12792i | −0.442313 | + | 0.106046i | ||||
\(871\) | 54.9941 | + | 20.0162i | 1.86340 | + | 0.678224i | ||||
\(872\) | 9.95964 | − | 27.3639i | 0.337276 | − | 0.926658i | ||||
\(873\) | 14.2038 | + | 13.2616i | 0.480726 | + | 0.448836i | ||||
\(874\) | −2.32467 | − | 3.71517i | −0.0786331 | − | 0.125667i | ||||
\(875\) | 11.9232 | + | 6.88388i | 0.403079 | + | 0.232718i | ||||
\(876\) | 21.5503 | − | 1.31143i | 0.728116 | − | 0.0443092i | ||||
\(877\) | 11.4240 | + | 13.6146i | 0.385762 | + | 0.459734i | 0.923624 | − | 0.383299i | \(-0.125212\pi\) |
−0.537862 | + | 0.843033i | \(0.680768\pi\) | |||||||
\(878\) | 1.05743 | + | 0.186454i | 0.0356866 | + | 0.00629250i | ||||
\(879\) | −6.40528 | + | 12.8371i | −0.216045 | + | 0.432986i | ||||
\(880\) | 0.739346 | + | 0.620385i | 0.0249233 | + | 0.0209132i | ||||
\(881\) | −48.0148 | − | 27.7214i | −1.61766 | − | 0.933957i | −0.987523 | − | 0.157474i | \(-0.949665\pi\) |
−0.630138 | − | 0.776483i | \(-0.717002\pi\) | |||||||
\(882\) | −2.77187 | − | 9.08631i | −0.0933336 | − | 0.305952i | ||||
\(883\) | −41.9764 | + | 15.2781i | −1.41262 | + | 0.514150i | −0.931897 | − | 0.362724i | \(-0.881847\pi\) |
−0.480720 | + | 0.876874i | \(0.659625\pi\) | |||||||
\(884\) | 4.36724 | − | 24.7678i | 0.146886 | − | 0.833032i | ||||
\(885\) | −31.0217 | − | 3.54412i | −1.04278 | − | 0.119134i | ||||
\(886\) | − | 15.7193i | − | 0.528099i | ||||||
\(887\) | −2.41742 | + | 0.879868i | −0.0811690 | + | 0.0295431i | −0.382285 | − | 0.924044i | \(-0.624863\pi\) |
0.301117 | + | 0.953587i | \(0.402641\pi\) | |||||||
\(888\) | −25.7330 | + | 17.0209i | −0.863542 | + | 0.571185i | ||||
\(889\) | −1.60055 | − | 4.39749i | −0.0536809 | − | 0.147487i | ||||
\(890\) | −5.67509 | + | 1.00067i | −0.190229 | + | 0.0335426i | ||||
\(891\) | 0.461370 | + | 1.86018i | 0.0154565 | + | 0.0623183i | ||||
\(892\) | 34.1037i | 1.14188i | ||||||||
\(893\) | 1.71927 | − | 12.2880i | 0.0575332 | − | 0.411202i | ||||
\(894\) | −11.9307 | − | 1.36304i | −0.399021 | − | 0.0455868i | ||||
\(895\) | −2.61320 | + | 0.460778i | −0.0873497 | + | 0.0154021i | ||||
\(896\) | −11.8321 | + | 9.92829i | −0.395282 | + | 0.331681i | ||||
\(897\) | −3.90915 | − | 16.3048i | −0.130523 | − | 0.544402i | ||||
\(898\) | 3.65316 | + | 20.7181i | 0.121907 | + | 0.691372i | ||||
\(899\) | 18.5269 | + | 3.26680i | 0.617908 | + | 0.108954i | ||||
\(900\) | 2.54119 | − | 2.72175i | 0.0847065 | − | 0.0907249i | ||||
\(901\) | −22.7053 | + | 13.1089i | −0.756422 | + | 0.436720i | ||||
\(902\) | −1.16074 | − | 0.204669i | −0.0386483 | − | 0.00681474i | ||||
\(903\) | −2.28333 | + | 2.16547i | −0.0759845 | + | 0.0720623i | ||||
\(904\) | 18.8800 | − | 32.7011i | 0.627938 | − | 1.08762i | ||||
\(905\) | 13.8011 | 0.458766 | ||||||||
\(906\) | 12.6756 | − | 3.03904i | 0.421120 | − | 0.100965i | ||||
\(907\) | −33.3558 | + | 5.88153i | −1.10756 | + | 0.195293i | −0.697373 | − | 0.716708i | \(-0.745648\pi\) |
−0.410188 | + | 0.912001i | \(0.634537\pi\) | |||||||
\(908\) | −20.5267 | − | 17.2240i | −0.681203 | − | 0.571597i | ||||
\(909\) | 0.546328 | − | 0.840143i | 0.0181206 | − | 0.0278658i | ||||
\(910\) | −11.0434 | − | 4.01946i | −0.366084 | − | 0.133244i | ||||
\(911\) | −17.2638 | + | 29.9017i | −0.571974 | + | 0.990689i | 0.424389 | + | 0.905480i | \(0.360489\pi\) |
−0.996363 | + | 0.0852086i | \(0.972844\pi\) | |||||||
\(912\) | −3.56430 | + | 13.7996i | −0.118026 | + | 0.456951i | ||||
\(913\) | 1.73641 | + | 3.00755i | 0.0574669 | + | 0.0995355i | ||||
\(914\) | 1.06574 | + | 6.04412i | 0.0352516 | + | 0.199922i | ||||
\(915\) | −1.26344 | − | 20.7616i | −0.0417680 | − | 0.686358i | ||||
\(916\) | 7.39234 | − | 2.69059i | 0.244250 | − | 0.0888996i | ||||
\(917\) | −8.50380 | − | 10.1344i | −0.280820 | − | 0.334668i | ||||
\(918\) | −4.23404 | − | 7.20313i | −0.139744 | − | 0.237739i | ||||
\(919\) | 1.00426 | − | 1.73944i | 0.0331276 | − | 0.0573787i | −0.848986 | − | 0.528415i | \(-0.822787\pi\) |
0.882114 | + | 0.471036i | \(0.156120\pi\) | |||||||
\(920\) | −8.74896 | −0.288445 | ||||||||
\(921\) | 4.38385 | − | 1.05105i | 0.144453 | − | 0.0346331i | ||||
\(922\) | −12.0380 | + | 14.3463i | −0.396450 | + | 0.472471i | ||||
\(923\) | 52.9210 | + | 30.5540i | 1.74192 | + | 1.00570i | ||||
\(924\) | 0.323213 | + | 0.743963i | 0.0106329 | + | 0.0244746i | ||||
\(925\) | 3.93885 | − | 4.69413i | 0.129508 | − | 0.154342i | ||||
\(926\) | 3.97871 | − | 3.33853i | 0.130748 | − | 0.109711i | ||||
\(927\) | 32.8034 | + | 13.9480i | 1.07741 | + | 0.458112i | ||||
\(928\) | −5.11871 | − | 29.0296i | −0.168030 | − | 0.952944i | ||||
\(929\) | 10.4762 | + | 12.4850i | 0.343712 | + | 0.409620i | 0.910014 | − | 0.414578i | \(-0.136071\pi\) |
−0.566302 | + | 0.824198i | \(0.691626\pi\) | |||||||
\(930\) | 8.35199 | − | 3.62850i | 0.273872 | − | 0.118983i | ||||
\(931\) | −19.8936 | − | 10.5620i | −0.651987 | − | 0.346154i | ||||
\(932\) | −23.5455 | + | 13.5940i | −0.771258 | + | 0.445286i | ||||
\(933\) | −1.51270 | − | 24.8577i | −0.0495237 | − | 0.813804i | ||||
\(934\) | 3.97142 | − | 10.9114i | 0.129949 | − | 0.357031i | ||||
\(935\) | −0.862310 | + | 1.02766i | −0.0282005 | + | 0.0336081i | ||||
\(936\) | 21.4330 | − | 32.9597i | 0.700561 | − | 1.07732i | ||||
\(937\) | 1.47493 | − | 8.36474i | 0.0481839 | − | 0.273264i | −0.951192 | − | 0.308601i | \(-0.900139\pi\) |
0.999375 | + | 0.0353367i | \(0.0112504\pi\) | |||||||
\(938\) | 7.12636 | − | 4.11441i | 0.232684 | − | 0.134340i | ||||
\(939\) | 3.61069 | − | 31.6044i | 0.117830 | − | 1.03137i | ||||
\(940\) | −8.50437 | − | 7.13601i | −0.277382 | − | 0.232751i | ||||
\(941\) | −24.8610 | − | 20.8609i | −0.810446 | − | 0.680045i | 0.140268 | − | 0.990114i | \(-0.455204\pi\) |
−0.950714 | + | 0.310068i | \(0.899648\pi\) | |||||||
\(942\) | −4.71130 | + | 2.04681i | −0.153502 | + | 0.0666887i | ||||
\(943\) | −12.8330 | + | 7.40915i | −0.417901 | + | 0.241275i | ||||
\(944\) | 2.46139 | − | 13.9592i | 0.0801113 | − | 0.454334i | ||||
\(945\) | 15.8247 | − | 5.90000i | 0.514776 | − | 0.191927i | ||||
\(946\) | 0.112575 | − | 0.134161i | 0.00366011 | − | 0.00436195i | ||||
\(947\) | −8.19676 | + | 22.5204i | −0.266359 | + | 0.731815i | 0.732346 | + | 0.680933i | \(0.238425\pi\) |
−0.998705 | + | 0.0508819i | \(0.983797\pi\) | |||||||
\(948\) | −14.1481 | − | 7.05943i | −0.459510 | − | 0.229280i | ||||
\(949\) | −39.2092 | + | 22.6375i | −1.27279 | + | 0.734843i | ||||
\(950\) | 0.0724826 | + | 2.03972i | 0.00235164 | + | 0.0661771i | ||||
\(951\) | −36.4946 | − | 27.0219i | −1.18342 | − | 0.876245i | ||||
\(952\) | −5.07160 | − | 6.04410i | −0.164372 | − | 0.195890i | ||||
\(953\) | 8.66744 | + | 49.1555i | 0.280766 | + | 1.59230i | 0.720029 | + | 0.693944i | \(0.244129\pi\) |
−0.439263 | + | 0.898359i | \(0.644760\pi\) | |||||||
\(954\) | −18.2336 | + | 2.22745i | −0.590336 | + | 0.0721164i | ||||
\(955\) | 14.7128 | − | 12.3455i | 0.476097 | − | 0.399492i | ||||
\(956\) | 1.96898 | − | 2.34654i | 0.0636815 | − | 0.0758927i | ||||
\(957\) | −1.92927 | − | 0.220412i | −0.0623643 | − | 0.00712490i | ||||
\(958\) | −8.08830 | − | 4.66978i | −0.261321 | − | 0.150874i | ||||
\(959\) | 14.7047 | − | 17.5243i | 0.474839 | − | 0.565891i | ||||
\(960\) | 0.985441 | + | 1.03908i | 0.0318050 | + | 0.0335361i | ||||
\(961\) | 18.2309 | 0.588093 | ||||||||
\(962\) | 14.4988 | − | 25.1127i | 0.467461 | − | 0.809666i | ||||
\(963\) | 22.4928 | − | 52.8993i | 0.724819 | − | 1.70466i | ||||
\(964\) | 22.5505 | + | 26.8746i | 0.726301 | + | 0.865572i | ||||
\(965\) | 20.5596 | − | 7.48308i | 0.661837 | − | 0.240889i | ||||
\(966\) | −2.10952 | − | 1.05258i | −0.0678727 | − | 0.0338661i | ||||
\(967\) | −3.14701 | − | 17.8476i | −0.101201 | − | 0.573939i | −0.992670 | − | 0.120857i | \(-0.961436\pi\) |
0.891469 | − | 0.453082i | \(-0.149676\pi\) | |||||||
\(968\) | 12.1658 | + | 21.0718i | 0.391023 | + | 0.677272i | ||||
\(969\) | −19.1809 | − | 4.95423i | −0.616179 | − | 0.159153i | ||||
\(970\) | −4.76506 | + | 8.25332i | −0.152997 | + | 0.264998i | ||||
\(971\) | 39.2188 | + | 14.2745i | 1.25859 | + | 0.458090i | 0.883296 | − | 0.468815i | \(-0.155319\pi\) |
0.375296 | + | 0.926905i | \(0.377541\pi\) | |||||||
\(972\) | 3.26677 | + | 25.1112i | 0.104782 | + | 0.805443i | ||||
\(973\) | 21.5671 | + | 18.0969i | 0.691409 | + | 0.580161i | ||||
\(974\) | 18.9151 | − | 3.33524i | 0.606079 | − | 0.106868i | ||||
\(975\) | −2.22005 | + | 7.48633i | −0.0710985 | + | 0.239754i | ||||
\(976\) | 9.44260 | 0.302250 | ||||||||
\(977\) | 14.0995 | − | 24.4211i | 0.451084 | − | 0.781300i | −0.547370 | − | 0.836891i | \(-0.684371\pi\) |
0.998454 | + | 0.0555909i | \(0.0177043\pi\) | |||||||
\(978\) | 11.0846 | + | 3.28711i | 0.354446 | + | 0.105110i | ||||
\(979\) | −0.821400 | − | 0.144835i | −0.0262521 | − | 0.00462895i | ||||
\(980\) | −17.4528 | + | 10.0764i | −0.557509 | + | 0.321878i | ||||
\(981\) | −28.7489 | − | 26.8418i | −0.917880 | − | 0.856991i | ||||
\(982\) | −7.70286 | − | 1.35822i | −0.245808 | − | 0.0433426i | ||||
\(983\) | −9.72698 | − | 55.1645i | −0.310243 | − | 1.75947i | −0.597739 | − | 0.801691i | \(-0.703934\pi\) |
0.287496 | − | 0.957782i | \(-0.407177\pi\) | |||||||
\(984\) | −33.3126 | − | 9.87876i | −1.06197 | − | 0.314923i | ||||
\(985\) | 4.69149 | − | 3.93663i | 0.149483 | − | 0.125431i | ||||
\(986\) | 8.33695 | − | 1.47003i | 0.265503 | − | 0.0468153i | ||||
\(987\) | −2.65961 | − | 6.12183i | −0.0846564 | − | 0.194860i | ||||
\(988\) | −8.71143 | − | 40.8607i | −0.277148 | − | 1.29995i | ||||
\(989\) | − | 2.20186i | − | 0.0700149i | ||||||
\(990\) | −0.837734 | + | 0.426200i | −0.0266249 | + | 0.0135455i | ||||
\(991\) | −52.6592 | + | 9.28524i | −1.67277 | + | 0.294955i | −0.928061 | − | 0.372429i | \(-0.878525\pi\) |
−0.744714 | + | 0.667384i | \(0.767414\pi\) | |||||||
\(992\) | 6.84305 | + | 18.8011i | 0.217267 | + | 0.596937i | ||||
\(993\) | −0.409985 | − | 6.73713i | −0.0130105 | − | 0.213796i | ||||
\(994\) | 8.07403 | − | 2.93871i | 0.256093 | − | 0.0932101i | ||||
\(995\) | 5.22363i | 0.165600i | ||||||||
\(996\) | 18.2840 | + | 42.0855i | 0.579349 | + | 1.33353i | ||||
\(997\) | −1.57180 | + | 8.91410i | −0.0497793 | + | 0.282312i | −0.999529 | − | 0.0306989i | \(-0.990227\pi\) |
0.949749 | + | 0.313011i | \(0.101338\pi\) | |||||||
\(998\) | −8.99503 | + | 3.27392i | −0.284733 | + | 0.103634i | ||||
\(999\) | 7.55640 | + | 40.9812i | 0.239074 | + | 1.29659i |
(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 | 171.2.x.a.110.12 | yes | 108 | |
3.2 | odd | 2 | 513.2.bo.a.224.7 | 108 | |||
9.4 | even | 3 | 513.2.cd.a.395.12 | 108 | |||
9.5 | odd | 6 | 171.2.bd.a.167.7 | yes | 108 | ||
19.14 | odd | 18 | 171.2.bd.a.128.7 | yes | 108 | ||
57.14 | even | 18 | 513.2.cd.a.413.12 | 108 | |||
171.14 | even | 18 | inner | 171.2.x.a.14.12 | ✓ | 108 | |
171.166 | odd | 18 | 513.2.bo.a.71.7 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.12 | ✓ | 108 | 171.14 | even | 18 | inner | |
171.2.x.a.110.12 | yes | 108 | 1.1 | even | 1 | trivial | |
171.2.bd.a.128.7 | yes | 108 | 19.14 | odd | 18 | ||
171.2.bd.a.167.7 | yes | 108 | 9.5 | odd | 6 | ||
513.2.bo.a.71.7 | 108 | 171.166 | odd | 18 | |||
513.2.bo.a.224.7 | 108 | 3.2 | odd | 2 | |||
513.2.cd.a.395.12 | 108 | 9.4 | even | 3 | |||
513.2.cd.a.413.12 | 108 | 57.14 | even | 18 |