Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(95,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ci (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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 95.8 | ||
Character | \(\chi\) | \(=\) | 756.95 |
Dual form | 756.2.ci.a.191.8 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39122 | − | 0.253995i | −0.983739 | − | 0.179601i | ||||
\(3\) | 1.51307 | + | 0.842975i | 0.873574 | + | 0.486692i | ||||
\(4\) | 1.87097 | + | 0.706724i | 0.935487 | + | 0.353362i | ||||
\(5\) | 3.16384 | + | 0.557871i | 1.41491 | + | 0.249488i | 0.828257 | − | 0.560348i | \(-0.189333\pi\) |
0.586657 | + | 0.809836i | \(0.300444\pi\) | |||||||
\(6\) | −1.89090 | − | 1.55707i | −0.771958 | − | 0.635673i | ||||
\(7\) | 0.270632 | + | 2.63187i | 0.102289 | + | 0.994755i | ||||
\(8\) | −2.42343 | − | 1.45842i | −0.856811 | − | 0.515631i | ||||
\(9\) | 1.57879 | + | 2.55097i | 0.526262 | + | 0.850323i | ||||
\(10\) | −4.25990 | − | 1.57972i | −1.34710 | − | 0.499551i | ||||
\(11\) | −0.648104 | − | 3.67558i | −0.195411 | − | 1.10823i | −0.911833 | − | 0.410562i | \(-0.865333\pi\) |
0.716422 | − | 0.697667i | \(-0.245779\pi\) | |||||||
\(12\) | 2.23517 | + | 2.64651i | 0.645238 | + | 0.763982i | ||||
\(13\) | 0.816647 | − | 4.63144i | 0.226497 | − | 1.28453i | −0.633305 | − | 0.773902i | \(-0.718302\pi\) |
0.859802 | − | 0.510627i | \(-0.170587\pi\) | |||||||
\(14\) | 0.291975 | − | 3.73025i | 0.0780335 | − | 0.996951i | ||||
\(15\) | 4.31686 | + | 3.51114i | 1.11461 | + | 0.906573i | ||||
\(16\) | 3.00108 | + | 2.64452i | 0.750271 | + | 0.661131i | ||||
\(17\) | 5.13403 | − | 2.96413i | 1.24518 | − | 0.718907i | 0.275039 | − | 0.961433i | \(-0.411309\pi\) |
0.970145 | + | 0.242526i | \(0.0779759\pi\) | |||||||
\(18\) | −1.54850 | − | 3.94995i | −0.364985 | − | 0.931013i | ||||
\(19\) | 1.22570 | + | 0.707658i | 0.281195 | + | 0.162348i | 0.633964 | − | 0.773362i | \(-0.281427\pi\) |
−0.352769 | + | 0.935710i | \(0.614760\pi\) | |||||||
\(20\) | 5.52521 | + | 3.27973i | 1.23547 | + | 0.733369i | ||||
\(21\) | −1.80912 | + | 4.21036i | −0.394782 | + | 0.918775i | ||||
\(22\) | −0.0319246 | + | 5.27815i | −0.00680634 | + | 1.12530i | ||||
\(23\) | 0.642780 | + | 0.539356i | 0.134029 | + | 0.112464i | 0.707338 | − | 0.706876i | \(-0.249896\pi\) |
−0.573309 | + | 0.819339i | \(0.694340\pi\) | |||||||
\(24\) | −2.43741 | − | 4.24959i | −0.497534 | − | 0.867445i | ||||
\(25\) | 5.00022 | + | 1.81993i | 1.00004 | + | 0.363987i | ||||
\(26\) | −2.31249 | + | 6.23591i | −0.453517 | + | 1.22296i | ||||
\(27\) | 0.238416 | + | 5.19068i | 0.0458833 | + | 0.998947i | ||||
\(28\) | −1.35366 | + | 5.11543i | −0.255818 | + | 0.966725i | ||||
\(29\) | 5.73413 | − | 1.01108i | 1.06480 | − | 0.187753i | 0.386316 | − | 0.922367i | \(-0.373747\pi\) |
0.678486 | + | 0.734613i | \(0.262636\pi\) | |||||||
\(30\) | −5.11388 | − | 5.98122i | −0.933662 | − | 1.09202i | ||||
\(31\) | −8.17084 | − | 1.44074i | −1.46753 | − | 0.258764i | −0.617945 | − | 0.786222i | \(-0.712034\pi\) |
−0.849582 | + | 0.527457i | \(0.823145\pi\) | |||||||
\(32\) | −3.50346 | − | 4.44137i | −0.619331 | − | 0.785130i | ||||
\(33\) | 2.11779 | − | 6.10776i | 0.368661 | − | 1.06322i | ||||
\(34\) | −7.89542 | + | 2.81974i | −1.35405 | + | 0.483581i | ||||
\(35\) | −0.612009 | + | 8.47781i | −0.103448 | + | 1.43301i | ||||
\(36\) | 1.15103 | + | 5.88856i | 0.191839 | + | 0.981426i | ||||
\(37\) | −9.29934 | −1.52880 | −0.764401 | − | 0.644741i | \(-0.776965\pi\) | ||||
−0.764401 | + | 0.644741i | \(0.776965\pi\) | |||||||
\(38\) | −1.52547 | − | 1.29583i | −0.247465 | − | 0.210211i | ||||
\(39\) | 5.13983 | − | 6.31929i | 0.823032 | − | 1.01190i | ||||
\(40\) | −6.85373 | − | 5.96619i | −1.08367 | − | 0.943337i | ||||
\(41\) | −7.90132 | − | 1.39322i | −1.23398 | − | 0.217584i | −0.481645 | − | 0.876366i | \(-0.659961\pi\) |
−0.752334 | + | 0.658782i | \(0.771072\pi\) | |||||||
\(42\) | 3.58629 | − | 5.39801i | 0.553376 | − | 0.832932i | ||||
\(43\) | 4.21585 | + | 5.02425i | 0.642911 | + | 0.766191i | 0.984827 | − | 0.173539i | \(-0.0555203\pi\) |
−0.341916 | + | 0.939731i | \(0.611076\pi\) | |||||||
\(44\) | 1.38504 | − | 7.33494i | 0.208802 | − | 1.10578i | ||||
\(45\) | 3.57192 | + | 8.95162i | 0.532470 | + | 1.33443i | ||||
\(46\) | −0.757253 | − | 0.913625i | −0.111651 | − | 0.134707i | ||||
\(47\) | 0.260389 | + | 1.47674i | 0.0379816 | + | 0.215404i | 0.997891 | − | 0.0649045i | \(-0.0206743\pi\) |
−0.959910 | + | 0.280309i | \(0.909563\pi\) | |||||||
\(48\) | 2.31159 | + | 6.53120i | 0.333649 | + | 0.942697i | ||||
\(49\) | −6.85352 | + | 1.42454i | −0.979074 | + | 0.203505i | ||||
\(50\) | −6.49415 | − | 3.80195i | −0.918411 | − | 0.537677i | ||||
\(51\) | 10.2668 | − | 0.157093i | 1.43765 | − | 0.0219974i | ||||
\(52\) | 4.80107 | − | 8.08815i | 0.665789 | − | 1.12162i | ||||
\(53\) | −3.76130 | − | 2.17159i | −0.516655 | − | 0.298291i | 0.218910 | − | 0.975745i | \(-0.429750\pi\) |
−0.735565 | + | 0.677454i | \(0.763083\pi\) | |||||||
\(54\) | 0.986717 | − | 7.28192i | 0.134275 | − | 0.990944i | ||||
\(55\) | − | 11.9905i | − | 1.61680i | ||||||
\(56\) | 3.18253 | − | 6.77285i | 0.425284 | − | 0.905060i | ||||
\(57\) | 1.25804 | + | 2.10397i | 0.166631 | + | 0.278678i | ||||
\(58\) | −8.23424 | − | 0.0498043i | −1.08121 | − | 0.00653963i | ||||
\(59\) | −1.68390 | + | 0.612889i | −0.219225 | + | 0.0797914i | −0.449298 | − | 0.893382i | \(-0.648326\pi\) |
0.230073 | + | 0.973173i | \(0.426104\pi\) | |||||||
\(60\) | 5.59532 | + | 9.62008i | 0.722352 | + | 1.24195i | ||||
\(61\) | 2.37309 | + | 13.4585i | 0.303843 | + | 1.72318i | 0.628902 | + | 0.777485i | \(0.283505\pi\) |
−0.325059 | + | 0.945694i | \(0.605384\pi\) | |||||||
\(62\) | 11.0015 | + | 4.07973i | 1.39719 | + | 0.518127i | ||||
\(63\) | −6.28656 | + | 4.84554i | −0.792032 | + | 0.610480i | ||||
\(64\) | 3.74600 | + | 7.06877i | 0.468249 | + | 0.883596i | ||||
\(65\) | 5.16749 | − | 14.1976i | 0.640948 | − | 1.76099i | ||||
\(66\) | −4.49765 | + | 7.95931i | −0.553623 | + | 0.979724i | ||||
\(67\) | −9.03556 | + | 10.7682i | −1.10387 | + | 1.31554i | −0.159300 | + | 0.987230i | \(0.550924\pi\) |
−0.944570 | + | 0.328311i | \(0.893521\pi\) | |||||||
\(68\) | 11.7004 | − | 1.91747i | 1.41889 | − | 0.232527i | ||||
\(69\) | 0.517909 | + | 1.35793i | 0.0623490 | + | 0.163476i | ||||
\(70\) | 3.00476 | − | 11.6390i | 0.359137 | − | 1.39113i | ||||
\(71\) | −1.65180 | + | 2.86100i | −0.196033 | + | 0.339538i | −0.947239 | − | 0.320530i | \(-0.896139\pi\) |
0.751206 | + | 0.660068i | \(0.229472\pi\) | |||||||
\(72\) | −0.105677 | − | 8.48462i | −0.0124542 | − | 0.999922i | ||||
\(73\) | −10.7512 | −1.25833 | −0.629166 | − | 0.777271i | \(-0.716604\pi\) | ||||
−0.629166 | + | 0.777271i | \(0.716604\pi\) | |||||||
\(74\) | 12.9374 | + | 2.36198i | 1.50394 | + | 0.274575i | ||||
\(75\) | 6.03155 | + | 6.96876i | 0.696463 | + | 0.804683i | ||||
\(76\) | 1.79313 | + | 2.19024i | 0.205686 | + | 0.251238i | ||||
\(77\) | 9.49826 | − | 2.70046i | 1.08243 | − | 0.307746i | ||||
\(78\) | −8.75569 | + | 7.48602i | −0.991387 | + | 0.847625i | ||||
\(79\) | −1.09487 | − | 1.30482i | −0.123183 | − | 0.146803i | 0.700928 | − | 0.713232i | \(-0.252769\pi\) |
−0.824111 | + | 0.566428i | \(0.808325\pi\) | |||||||
\(80\) | 8.01965 | + | 10.0411i | 0.896624 | + | 1.12263i | ||||
\(81\) | −4.01487 | + | 8.05486i | −0.446097 | + | 0.894985i | ||||
\(82\) | 10.6386 | + | 3.94516i | 1.17484 | + | 0.435670i | ||||
\(83\) | 0.380043 | + | 2.15533i | 0.0417152 | + | 0.236578i | 0.998535 | − | 0.0541018i | \(-0.0172295\pi\) |
−0.956820 | + | 0.290680i | \(0.906118\pi\) | |||||||
\(84\) | −6.36037 | + | 6.59891i | −0.693973 | + | 0.720001i | ||||
\(85\) | 17.8969 | − | 6.51392i | 1.94119 | − | 0.706534i | ||||
\(86\) | −4.58903 | − | 8.06063i | −0.494848 | − | 0.869200i | ||||
\(87\) | 9.52849 | + | 3.30389i | 1.02156 | + | 0.354214i | ||||
\(88\) | −3.78992 | + | 9.85271i | −0.404007 | + | 1.05030i | ||||
\(89\) | 4.90703 | + | 2.83307i | 0.520144 | + | 0.300305i | 0.736994 | − | 0.675900i | \(-0.236245\pi\) |
−0.216850 | + | 0.976205i | \(0.569578\pi\) | |||||||
\(90\) | −2.69565 | − | 13.3609i | −0.284147 | − | 1.40836i | ||||
\(91\) | 12.4104 | + | 0.895898i | 1.30096 | + | 0.0939157i | ||||
\(92\) | 0.821448 | + | 1.46339i | 0.0856418 | + | 0.152569i | ||||
\(93\) | −11.1486 | − | 9.06776i | −1.15605 | − | 0.940283i | ||||
\(94\) | 0.0128263 | − | 2.12060i | 0.00132293 | − | 0.218723i | ||||
\(95\) | 3.48314 | + | 2.92270i | 0.357363 | + | 0.299863i | ||||
\(96\) | −1.55704 | − | 9.67345i | −0.158914 | − | 0.987292i | ||||
\(97\) | 5.79844 | − | 4.86547i | 0.588743 | − | 0.494014i | −0.299062 | − | 0.954234i | \(-0.596674\pi\) |
0.887805 | + | 0.460220i | \(0.152229\pi\) | |||||||
\(98\) | 9.89656 | − | 0.241083i | 0.999703 | − | 0.0243531i | ||||
\(99\) | 8.35307 | − | 7.45624i | 0.839515 | − | 0.749381i | ||||
\(100\) | 8.06910 | + | 6.93882i | 0.806910 | + | 0.693882i | ||||
\(101\) | −1.90188 | − | 2.26657i | −0.189244 | − | 0.225532i | 0.663077 | − | 0.748551i | \(-0.269250\pi\) |
−0.852321 | + | 0.523019i | \(0.824806\pi\) | |||||||
\(102\) | −14.3233 | − | 2.38918i | −1.41822 | − | 0.236564i | ||||
\(103\) | −13.5695 | − | 2.39267i | −1.33704 | − | 0.235757i | −0.541014 | − | 0.841013i | \(-0.681959\pi\) |
−0.796031 | + | 0.605256i | \(0.793071\pi\) | |||||||
\(104\) | −8.73368 | + | 10.0329i | −0.856408 | + | 0.983809i | ||||
\(105\) | −8.07260 | + | 12.3117i | −0.787805 | + | 1.20149i | ||||
\(106\) | 4.68122 | + | 3.97651i | 0.454680 | + | 0.386232i | ||||
\(107\) | −5.60382 | − | 9.70609i | −0.541741 | − | 0.938323i | −0.998804 | − | 0.0488891i | \(-0.984432\pi\) |
0.457063 | − | 0.889434i | \(-0.348901\pi\) | |||||||
\(108\) | −3.22231 | + | 9.88012i | −0.310067 | + | 0.950715i | ||||
\(109\) | 3.32871 | − | 5.76549i | 0.318832 | − | 0.552234i | −0.661412 | − | 0.750022i | \(-0.730043\pi\) |
0.980245 | + | 0.197789i | \(0.0633760\pi\) | |||||||
\(110\) | −3.04553 | + | 16.6814i | −0.290380 | + | 1.59051i | ||||
\(111\) | −14.0706 | − | 7.83911i | −1.33552 | − | 0.744055i | ||||
\(112\) | −6.14786 | + | 8.61416i | −0.580919 | + | 0.813962i | ||||
\(113\) | 7.89450 | − | 9.40830i | 0.742652 | − | 0.885058i | −0.253968 | − | 0.967213i | \(-0.581736\pi\) |
0.996620 | + | 0.0821547i | \(0.0261802\pi\) | |||||||
\(114\) | −1.21580 | − | 3.24662i | −0.113870 | − | 0.304074i | ||||
\(115\) | 1.73276 | + | 2.06503i | 0.161581 | + | 0.192565i | ||||
\(116\) | 11.4430 | + | 2.16074i | 1.06245 | + | 0.200620i | ||||
\(117\) | 13.1040 | − | 5.22880i | 1.21146 | − | 0.483403i | ||||
\(118\) | 2.49834 | − | 0.424961i | 0.229991 | − | 0.0391208i | ||||
\(119\) | 9.19065 | + | 12.7099i | 0.842505 | + | 1.16512i | ||||
\(120\) | −5.34085 | − | 14.8048i | −0.487551 | − | 1.35149i | ||||
\(121\) | −2.75323 | + | 1.00209i | −0.250294 | + | 0.0910995i | ||||
\(122\) | 0.116895 | − | 19.3264i | 0.0105831 | − | 1.74973i | ||||
\(123\) | −10.7808 | − | 8.76866i | −0.972075 | − | 0.790643i | ||||
\(124\) | −14.2692 | − | 8.47011i | −1.28141 | − | 0.760639i | ||||
\(125\) | 0.893452 | + | 0.515835i | 0.0799128 | + | 0.0461377i | ||||
\(126\) | 9.97671 | − | 5.14444i | 0.888796 | − | 0.458303i | ||||
\(127\) | 13.8457 | − | 7.99382i | 1.22861 | − | 0.709336i | 0.261868 | − | 0.965104i | \(-0.415661\pi\) |
0.966738 | + | 0.255767i | \(0.0823281\pi\) | |||||||
\(128\) | −3.41606 | − | 10.7857i | −0.301940 | − | 0.953327i | ||||
\(129\) | 2.14357 | + | 11.1559i | 0.188731 | + | 0.982224i | ||||
\(130\) | −10.7952 | + | 18.4394i | −0.946802 | + | 1.61724i | ||||
\(131\) | −4.19342 | − | 3.51870i | −0.366381 | − | 0.307430i | 0.440947 | − | 0.897533i | \(-0.354643\pi\) |
−0.807328 | + | 0.590103i | \(0.799087\pi\) | |||||||
\(132\) | 8.27884 | − | 9.93076i | 0.720580 | − | 0.864362i | ||||
\(133\) | −1.53075 | + | 3.41740i | −0.132733 | + | 0.296326i | ||||
\(134\) | 15.3055 | − | 12.6859i | 1.32219 | − | 1.09589i | ||||
\(135\) | −2.14142 | + | 16.5555i | −0.184304 | + | 1.42487i | ||||
\(136\) | −16.7649 | − | 0.304234i | −1.43758 | − | 0.0260879i | ||||
\(137\) | 1.72905 | − | 4.75054i | 0.147723 | − | 0.405866i | −0.843657 | − | 0.536882i | \(-0.819602\pi\) |
0.991380 | + | 0.131016i | \(0.0418241\pi\) | |||||||
\(138\) | −0.375617 | − | 2.02073i | −0.0319746 | − | 0.172016i | ||||
\(139\) | 0.0788654 | + | 0.216681i | 0.00668928 | + | 0.0183786i | 0.942992 | − | 0.332814i | \(-0.107998\pi\) |
−0.936303 | + | 0.351193i | \(0.885776\pi\) | |||||||
\(140\) | −7.13653 | + | 15.4292i | −0.603147 | + | 1.30401i | ||||
\(141\) | −0.850865 | + | 2.45391i | −0.0716558 | + | 0.206657i | ||||
\(142\) | 3.02469 | − | 3.56073i | 0.253827 | − | 0.298810i | ||||
\(143\) | −17.5525 | −1.46781 | ||||||||
\(144\) | −2.00803 | + | 11.8308i | −0.167336 | + | 0.985900i | ||||
\(145\) | 18.7060 | 1.55345 | ||||||||
\(146\) | 14.9573 | + | 2.73075i | 1.23787 | + | 0.225998i | ||||
\(147\) | −11.5707 | − | 3.62192i | −0.954337 | − | 0.298731i | ||||
\(148\) | −17.3988 | − | 6.57206i | −1.43017 | − | 0.540220i | ||||
\(149\) | 2.58232 | + | 7.09486i | 0.211552 | + | 0.581234i | 0.999400 | − | 0.0346356i | \(-0.0110271\pi\) |
−0.787848 | + | 0.615870i | \(0.788805\pi\) | |||||||
\(150\) | −6.62117 | − | 11.2270i | −0.540616 | − | 0.916684i | ||||
\(151\) | −8.90037 | + | 1.56938i | −0.724302 | + | 0.127714i | −0.523631 | − | 0.851945i | \(-0.675423\pi\) |
−0.200670 | + | 0.979659i | \(0.564312\pi\) | |||||||
\(152\) | −1.93833 | − | 3.50255i | −0.157219 | − | 0.284094i | ||||
\(153\) | 15.6669 | + | 8.41701i | 1.26660 | + | 0.680475i | ||||
\(154\) | −13.9001 | + | 1.34441i | −1.12010 | + | 0.108336i | ||||
\(155\) | −25.0475 | − | 9.11655i | −2.01186 | − | 0.732259i | ||||
\(156\) | 14.0825 | − | 8.19078i | 1.12750 | − | 0.655787i | ||||
\(157\) | −2.48307 | + | 0.903762i | −0.198170 | + | 0.0721281i | −0.439199 | − | 0.898390i | \(-0.644738\pi\) |
0.241028 | + | 0.970518i | \(0.422515\pi\) | |||||||
\(158\) | 1.19179 | + | 2.09337i | 0.0948135 | + | 0.166540i | ||||
\(159\) | −3.86053 | − | 6.45646i | −0.306160 | − | 0.512031i | ||||
\(160\) | −8.60670 | − | 16.0063i | −0.680419 | − | 1.26541i | ||||
\(161\) | −1.24556 | + | 1.83768i | −0.0981640 | + | 0.144830i | ||||
\(162\) | 7.63146 | − | 10.1863i | 0.599584 | − | 0.800312i | ||||
\(163\) | 17.7319 | − | 10.2375i | 1.38887 | − | 0.801865i | 0.395683 | − | 0.918387i | \(-0.370508\pi\) |
0.993188 | + | 0.116522i | \(0.0371745\pi\) | |||||||
\(164\) | −13.7985 | − | 8.19072i | −1.07749 | − | 0.639588i | ||||
\(165\) | 10.1077 | − | 18.1425i | 0.786884 | − | 1.41239i | ||||
\(166\) | 0.0187203 | − | 3.09506i | 0.00145298 | − | 0.240224i | ||||
\(167\) | −4.63709 | − | 3.89098i | −0.358829 | − | 0.301093i | 0.445495 | − | 0.895285i | \(-0.353028\pi\) |
−0.804324 | + | 0.594191i | \(0.797472\pi\) | |||||||
\(168\) | 10.5248 | − | 7.56502i | 0.812002 | − | 0.583654i | ||||
\(169\) | −8.56727 | − | 3.11823i | −0.659021 | − | 0.239864i | ||||
\(170\) | −26.5529 | + | 4.51658i | −2.03652 | + | 0.346406i | ||||
\(171\) | 0.129904 | + | 4.24396i | 0.00993401 | + | 0.324544i | ||||
\(172\) | 4.33698 | + | 12.3797i | 0.330692 | + | 0.943942i | ||||
\(173\) | 1.42124 | − | 3.90483i | 0.108055 | − | 0.296879i | −0.873867 | − | 0.486165i | \(-0.838395\pi\) |
0.981922 | + | 0.189286i | \(0.0606175\pi\) | |||||||
\(174\) | −12.4170 | − | 7.01662i | −0.941332 | − | 0.531928i | ||||
\(175\) | −3.43661 | + | 13.6525i | −0.259784 | + | 1.03203i | ||||
\(176\) | 7.77515 | − | 12.7446i | 0.586074 | − | 0.960664i | ||||
\(177\) | −3.06451 | − | 0.492139i | −0.230343 | − | 0.0369914i | ||||
\(178\) | −6.10716 | − | 5.18778i | −0.457751 | − | 0.388841i | ||||
\(179\) | 3.93796 | + | 6.82075i | 0.294337 | + | 0.509807i | 0.974830 | − | 0.222947i | \(-0.0715678\pi\) |
−0.680493 | + | 0.732754i | \(0.738234\pi\) | |||||||
\(180\) | 0.356639 | + | 19.2726i | 0.0265823 | + | 1.43650i | ||||
\(181\) | 10.0814 | + | 17.4615i | 0.749343 | + | 1.29790i | 0.948138 | + | 0.317859i | \(0.102964\pi\) |
−0.198795 | + | 0.980041i | \(0.563703\pi\) | |||||||
\(182\) | −17.0380 | − | 4.39856i | −1.26294 | − | 0.326043i | ||||
\(183\) | −7.75449 | + | 22.3641i | −0.573228 | + | 1.65320i | ||||
\(184\) | −0.771119 | − | 2.24454i | −0.0568477 | − | 0.165469i | ||||
\(185\) | −29.4216 | − | 5.18783i | −2.16312 | − | 0.381417i | ||||
\(186\) | 13.2069 | + | 15.4469i | 0.968379 | + | 1.13262i | ||||
\(187\) | −14.2223 | − | 16.9495i | −1.04004 | − | 1.23947i | ||||
\(188\) | −0.556466 | + | 2.94696i | −0.0405844 | + | 0.214929i | ||||
\(189\) | −13.5967 | + | 2.03224i | −0.989014 | + | 0.147824i | ||||
\(190\) | −4.10346 | − | 4.95081i | −0.297696 | − | 0.359170i | ||||
\(191\) | −3.61944 | + | 3.03707i | −0.261894 | + | 0.219755i | −0.764274 | − | 0.644892i | \(-0.776902\pi\) |
0.502380 | + | 0.864647i | \(0.332458\pi\) | |||||||
\(192\) | −0.290830 | + | 13.8534i | −0.0209889 | + | 0.999780i | ||||
\(193\) | −0.231958 | + | 1.31550i | −0.0166967 | + | 0.0946916i | −0.992017 | − | 0.126102i | \(-0.959753\pi\) |
0.975321 | + | 0.220793i | \(0.0708646\pi\) | |||||||
\(194\) | −9.30270 | + | 5.29616i | −0.667895 | + | 0.380242i | ||||
\(195\) | 19.7870 | − | 17.1259i | 1.41697 | − | 1.22641i | ||||
\(196\) | −13.8295 | − | 2.17828i | −0.987822 | − | 0.155591i | ||||
\(197\) | −17.8655 | + | 10.3146i | −1.27286 | + | 0.734887i | −0.975526 | − | 0.219886i | \(-0.929432\pi\) |
−0.297336 | + | 0.954773i | \(0.596098\pi\) | |||||||
\(198\) | −13.5148 | + | 8.25162i | −0.960454 | + | 0.586417i | ||||
\(199\) | −7.49351 | + | 4.32638i | −0.531201 | + | 0.306689i | −0.741505 | − | 0.670947i | \(-0.765888\pi\) |
0.210304 | + | 0.977636i | \(0.432555\pi\) | |||||||
\(200\) | −9.46344 | − | 11.7029i | −0.669166 | − | 0.827522i | ||||
\(201\) | −22.7488 | + | 8.67627i | −1.60457 | + | 0.611977i | ||||
\(202\) | 2.07023 | + | 3.63636i | 0.145661 | + | 0.255854i | ||||
\(203\) | 4.21288 | + | 14.8179i | 0.295686 | + | 1.04001i | ||||
\(204\) | 19.3200 | + | 6.96191i | 1.35267 | + | 0.487431i | ||||
\(205\) | −24.2213 | − | 8.81584i | −1.69169 | − | 0.615725i | ||||
\(206\) | 18.2704 | + | 6.77532i | 1.27296 | + | 0.472059i | ||||
\(207\) | −0.361069 | + | 2.49124i | −0.0250960 | + | 0.173153i | ||||
\(208\) | 14.6988 | − | 11.7397i | 1.01918 | − | 0.814000i | ||||
\(209\) | 1.80667 | − | 4.96379i | 0.124970 | − | 0.343353i | ||||
\(210\) | 14.3578 | − | 15.0778i | 0.990785 | − | 1.04047i | ||||
\(211\) | 11.2586 | − | 13.4174i | 0.775072 | − | 0.923695i | −0.223628 | − | 0.974675i | \(-0.571790\pi\) |
0.998700 | + | 0.0509799i | \(0.0162345\pi\) | |||||||
\(212\) | −5.50258 | − | 6.72119i | −0.377919 | − | 0.461613i | ||||
\(213\) | −4.91105 | + | 2.93648i | −0.336499 | + | 0.201204i | ||||
\(214\) | 5.33083 | + | 14.9266i | 0.364408 | + | 1.02036i | ||||
\(215\) | 10.5354 | + | 18.2479i | 0.718508 | + | 1.24449i | ||||
\(216\) | 6.99243 | − | 12.9269i | 0.475775 | − | 0.879567i | ||||
\(217\) | 1.58056 | − | 21.8945i | 0.107295 | − | 1.48630i | ||||
\(218\) | −6.09536 | + | 7.17557i | −0.412830 | + | 0.485991i | ||||
\(219\) | −16.2674 | − | 9.06299i | −1.09925 | − | 0.612420i | ||||
\(220\) | 8.47399 | − | 22.4339i | 0.571316 | − | 1.51250i | ||||
\(221\) | −9.53549 | − | 26.1986i | −0.641427 | − | 1.76231i | ||||
\(222\) | 17.5842 | + | 14.4798i | 1.18017 | + | 0.971818i | ||||
\(223\) | 1.70046 | − | 4.67198i | 0.113871 | − | 0.312859i | −0.869645 | − | 0.493677i | \(-0.835652\pi\) |
0.983517 | + | 0.180818i | \(0.0578746\pi\) | |||||||
\(224\) | 10.7410 | − | 10.4226i | 0.717661 | − | 0.696392i | ||||
\(225\) | 3.25169 | + | 15.6287i | 0.216779 | + | 1.04191i | ||||
\(226\) | −13.3726 | + | 11.0838i | −0.889534 | + | 0.737285i | ||||
\(227\) | −1.92824 | − | 10.9356i | −0.127982 | − | 0.725821i | −0.979492 | − | 0.201483i | \(-0.935424\pi\) |
0.851510 | − | 0.524338i | \(-0.175687\pi\) | |||||||
\(228\) | 0.866823 | + | 4.82556i | 0.0574068 | + | 0.319581i | ||||
\(229\) | 8.22471 | − | 2.99355i | 0.543504 | − | 0.197819i | −0.0556538 | − | 0.998450i | \(-0.517724\pi\) |
0.599158 | + | 0.800631i | \(0.295502\pi\) | |||||||
\(230\) | −1.88615 | − | 3.31302i | −0.124369 | − | 0.218454i | ||||
\(231\) | 16.6480 | + | 3.92081i | 1.09536 | + | 0.257970i | ||||
\(232\) | −15.3708 | − | 5.91252i | −1.00915 | − | 0.388176i | ||||
\(233\) | − | 7.10076i | − | 0.465186i | −0.972574 | − | 0.232593i | \(-0.925279\pi\) | ||
0.972574 | − | 0.232593i | \(-0.0747210\pi\) | |||||||
\(234\) | −19.5585 | + | 3.94607i | −1.27858 | + | 0.257962i | ||||
\(235\) | 4.81743i | 0.314254i | ||||||||
\(236\) | −3.58367 | − | 0.0433529i | −0.233277 | − | 0.00282203i | ||||
\(237\) | −0.556693 | − | 2.89723i | −0.0361611 | − | 0.188195i | ||||
\(238\) | −9.55794 | − | 20.0166i | −0.619549 | − | 1.29749i | ||||
\(239\) | −18.3606 | + | 6.68270i | −1.18765 | + | 0.432268i | −0.858897 | − | 0.512149i | \(-0.828850\pi\) |
−0.328750 | + | 0.944417i | \(0.606627\pi\) | |||||||
\(240\) | 3.66995 | + | 21.9533i | 0.236894 | + | 1.41708i | ||||
\(241\) | 24.8308 | + | 9.03768i | 1.59949 | + | 0.582168i | 0.979324 | − | 0.202299i | \(-0.0648413\pi\) |
0.620170 | + | 0.784467i | \(0.287064\pi\) | |||||||
\(242\) | 4.08487 | − | 0.694825i | 0.262585 | − | 0.0446650i | ||||
\(243\) | −12.8648 | + | 8.80316i | −0.825280 | + | 0.564723i | ||||
\(244\) | −5.07143 | + | 26.8575i | −0.324665 | + | 1.71938i | ||||
\(245\) | −22.4782 | + | 0.683634i | −1.43608 | + | 0.0436758i | ||||
\(246\) | 12.7713 | + | 14.9374i | 0.814268 | + | 0.952373i | ||||
\(247\) | 4.27844 | − | 5.09884i | 0.272230 | − | 0.324432i | ||||
\(248\) | 17.7002 | + | 15.4081i | 1.12397 | + | 0.978414i | ||||
\(249\) | −1.24186 | + | 3.58154i | −0.0786996 | + | 0.226971i | ||||
\(250\) | −1.11197 | − | 0.944571i | −0.0703270 | − | 0.0597399i | ||||
\(251\) | 3.19296 | + | 5.53037i | 0.201538 | + | 0.349074i | 0.949024 | − | 0.315203i | \(-0.102073\pi\) |
−0.747486 | + | 0.664277i | \(0.768739\pi\) | |||||||
\(252\) | −15.1864 | + | 4.62301i | −0.956655 | + | 0.291222i | ||||
\(253\) | 1.56586 | − | 2.71215i | 0.0984447 | − | 0.170511i | ||||
\(254\) | −21.2928 | + | 7.60440i | −1.33603 | + | 0.477143i | ||||
\(255\) | 32.5703 | + | 5.23056i | 2.03963 | + | 0.327550i | ||||
\(256\) | 2.01299 | + | 15.8729i | 0.125812 | + | 0.992054i | ||||
\(257\) | −2.59439 | − | 7.12803i | −0.161834 | − | 0.444634i | 0.832099 | − | 0.554628i | \(-0.187139\pi\) |
−0.993932 | + | 0.109993i | \(0.964917\pi\) | |||||||
\(258\) | −0.148626 | − | 16.0648i | −0.00925307 | − | 1.00015i | ||||
\(259\) | −2.51670 | − | 24.4747i | −0.156380 | − | 1.52078i | ||||
\(260\) | 19.7020 | − | 22.9113i | 1.22187 | − | 1.42090i | ||||
\(261\) | 11.6322 | + | 13.0313i | 0.720016 | + | 0.806618i | ||||
\(262\) | 4.94023 | + | 5.96038i | 0.305209 | + | 0.368234i | ||||
\(263\) | −0.0894409 | + | 0.0750499i | −0.00551516 | + | 0.00462777i | −0.645541 | − | 0.763726i | \(-0.723368\pi\) |
0.640026 | + | 0.768353i | \(0.278924\pi\) | |||||||
\(264\) | −14.0400 | + | 11.7131i | −0.864104 | + | 0.720889i | ||||
\(265\) | −10.6887 | − | 8.96889i | −0.656602 | − | 0.550955i | ||||
\(266\) | 2.99761 | − | 4.36555i | 0.183795 | − | 0.267669i | ||||
\(267\) | 5.03648 | + | 8.42315i | 0.308228 | + | 0.515489i | ||||
\(268\) | −24.5154 | + | 13.7613i | −1.49752 | + | 0.840605i | ||||
\(269\) | −13.4291 | − | 7.75331i | −0.818789 | − | 0.472728i | 0.0312100 | − | 0.999513i | \(-0.490064\pi\) |
−0.849999 | + | 0.526785i | \(0.823397\pi\) | |||||||
\(270\) | 7.18419 | − | 22.4884i | 0.437216 | − | 1.36860i | ||||
\(271\) | 18.0136 | − | 10.4002i | 1.09425 | − | 0.631766i | 0.159546 | − | 0.987191i | \(-0.448997\pi\) |
0.934705 | + | 0.355424i | \(0.115664\pi\) | |||||||
\(272\) | 23.2463 | + | 4.68145i | 1.40952 | + | 0.283855i | ||||
\(273\) | 18.0226 | + | 11.8172i | 1.09078 | + | 0.715209i | ||||
\(274\) | −3.61210 | + | 6.16986i | −0.218215 | + | 0.372735i | ||||
\(275\) | 3.44864 | − | 19.5582i | 0.207961 | − | 1.17941i | ||||
\(276\) | 0.00931028 | + | 2.90668i | 0.000560413 | + | 0.174961i | ||||
\(277\) | −15.4794 | + | 12.9888i | −0.930068 | + | 0.780420i | −0.975830 | − | 0.218532i | \(-0.929873\pi\) |
0.0457612 | + | 0.998952i | \(0.485429\pi\) | |||||||
\(278\) | −0.0546831 | − | 0.321482i | −0.00327968 | − | 0.0192812i | ||||
\(279\) | −9.22472 | − | 23.1182i | −0.552270 | − | 1.38405i | ||||
\(280\) | 13.8474 | − | 19.6528i | 0.827541 | − | 1.17448i | ||||
\(281\) | 16.2248 | + | 19.3360i | 0.967893 | + | 1.15349i | 0.988118 | + | 0.153694i | \(0.0491171\pi\) |
−0.0202258 | + | 0.999795i | \(0.506439\pi\) | |||||||
\(282\) | 1.80702 | − | 3.19781i | 0.107606 | − | 0.190427i | ||||
\(283\) | 21.0047 | − | 25.0325i | 1.24860 | − | 1.48803i | 0.441905 | − | 0.897062i | \(-0.354303\pi\) |
0.806697 | − | 0.590965i | \(-0.201253\pi\) | |||||||
\(284\) | −5.11241 | + | 4.18549i | −0.303366 | + | 0.248363i | ||||
\(285\) | 2.80648 | + | 7.35847i | 0.166242 | + | 0.435878i | ||||
\(286\) | 24.4193 | + | 4.45824i | 1.44394 | + | 0.263621i | ||||
\(287\) | 1.52842 | − | 21.1723i | 0.0902198 | − | 1.24976i | ||||
\(288\) | 5.79857 | − | 15.9492i | 0.341684 | − | 0.939815i | ||||
\(289\) | 9.07215 | − | 15.7134i | 0.533656 | − | 0.924319i | ||||
\(290\) | −26.0241 | − | 4.75122i | −1.52819 | − | 0.279001i | ||||
\(291\) | 12.8749 | − | 2.47387i | 0.754743 | − | 0.145021i | ||||
\(292\) | −20.1152 | − | 7.59813i | −1.17715 | − | 0.444647i | ||||
\(293\) | 5.77179 | + | 15.8579i | 0.337191 | + | 0.926426i | 0.986187 | + | 0.165634i | \(0.0529670\pi\) |
−0.648996 | + | 0.760792i | \(0.724811\pi\) | |||||||
\(294\) | 15.1775 | + | 7.97778i | 0.885167 | + | 0.465273i | ||||
\(295\) | −5.66951 | + | 0.999687i | −0.330091 | + | 0.0582040i | ||||
\(296\) | 22.5363 | + | 13.5624i | 1.30989 | + | 0.788297i | ||||
\(297\) | 18.9242 | − | 4.24042i | 1.09810 | − | 0.246054i | ||||
\(298\) | −1.79051 | − | 10.5264i | −0.103721 | − | 0.609778i | ||||
\(299\) | 3.02292 | − | 2.53653i | 0.174820 | − | 0.146691i | ||||
\(300\) | 6.35988 | + | 17.3010i | 0.367188 | + | 0.998874i | ||||
\(301\) | −12.0823 | + | 12.4553i | −0.696410 | + | 0.717912i | ||||
\(302\) | 12.7810 | + | 0.0773049i | 0.735462 | + | 0.00444840i | ||||
\(303\) | −0.967021 | − | 5.03273i | −0.0555539 | − | 0.289123i | ||||
\(304\) | 1.80701 | + | 5.36513i | 0.103639 | + | 0.307711i | ||||
\(305\) | 43.9043i | 2.51395i | ||||||||
\(306\) | −19.6582 | − | 15.6892i | −1.12379 | − | 0.896892i | ||||
\(307\) | −6.81834 | − | 3.93657i | −0.389143 | − | 0.224672i | 0.292646 | − | 0.956221i | \(-0.405464\pi\) |
−0.681789 | + | 0.731549i | \(0.738798\pi\) | |||||||
\(308\) | 19.6795 | + | 1.66017i | 1.12134 | + | 0.0945970i | ||||
\(309\) | −18.5147 | − | 15.0591i | −1.05327 | − | 0.856680i | ||||
\(310\) | 32.5310 | + | 19.0450i | 1.84764 | + | 1.08169i | ||||
\(311\) | 15.2233 | + | 12.7738i | 0.863232 | + | 0.724337i | 0.962662 | − | 0.270707i | \(-0.0872575\pi\) |
−0.0994300 | + | 0.995045i | \(0.531702\pi\) | |||||||
\(312\) | −21.6722 | + | 7.81828i | −1.22695 | + | 0.442623i | ||||
\(313\) | 10.1457 | + | 3.69273i | 0.573468 | + | 0.208725i | 0.612443 | − | 0.790515i | \(-0.290187\pi\) |
−0.0389746 | + | 0.999240i | \(0.512409\pi\) | |||||||
\(314\) | 3.68404 | − | 0.626644i | 0.207902 | − | 0.0353636i | ||||
\(315\) | −22.5929 | + | 11.8234i | −1.27296 | + | 0.666175i | ||||
\(316\) | −1.12633 | − | 3.21505i | −0.0633609 | − | 0.180861i | ||||
\(317\) | −15.8307 | + | 2.79138i | −0.889140 | + | 0.156779i | −0.599518 | − | 0.800362i | \(-0.704641\pi\) |
−0.289623 | + | 0.957141i | \(0.593530\pi\) | |||||||
\(318\) | 3.73094 | + | 9.96290i | 0.209220 | + | 0.558692i | ||||
\(319\) | −7.43263 | − | 20.4210i | −0.416147 | − | 1.14336i | ||||
\(320\) | 7.90828 | + | 24.4543i | 0.442086 | + | 1.36704i | ||||
\(321\) | −0.296991 | − | 19.4099i | −0.0165764 | − | 1.08336i | ||||
\(322\) | 2.19961 | − | 2.24025i | 0.122579 | − | 0.124844i | ||||
\(323\) | 8.39037 | 0.466852 | ||||||||
\(324\) | −13.2043 | + | 12.2330i | −0.733571 | + | 0.679612i | ||||
\(325\) | 12.5123 | − | 21.6720i | 0.694059 | − | 1.20214i | ||||
\(326\) | −27.2692 | + | 9.73882i | −1.51030 | + | 0.539383i | ||||
\(327\) | 9.89674 | − | 5.91759i | 0.547291 | − | 0.327244i | ||||
\(328\) | 17.1164 | + | 14.8998i | 0.945094 | + | 0.822706i | ||||
\(329\) | −3.81612 | + | 1.08496i | −0.210389 | + | 0.0598159i | ||||
\(330\) | −18.6701 | + | 22.6729i | −1.02776 | + | 1.24810i | ||||
\(331\) | 7.69825 | − | 1.35741i | 0.423134 | − | 0.0746099i | 0.0419733 | − | 0.999119i | \(-0.486636\pi\) |
0.381161 | + | 0.924509i | \(0.375524\pi\) | |||||||
\(332\) | −0.812174 | + | 4.30115i | −0.0445739 | + | 0.236056i | ||||
\(333\) | −14.6817 | − | 23.7223i | −0.804550 | − | 1.29997i | ||||
\(334\) | 5.46292 | + | 6.59100i | 0.298917 | + | 0.360644i | ||||
\(335\) | −34.5944 | + | 29.0281i | −1.89009 | + | 1.58598i | ||||
\(336\) | −16.5637 | + | 7.85136i | −0.903624 | + | 0.428327i | ||||
\(337\) | −2.30376 | + | 13.0653i | −0.125494 | + | 0.711711i | 0.855520 | + | 0.517771i | \(0.173238\pi\) |
−0.981013 | + | 0.193940i | \(0.937873\pi\) | |||||||
\(338\) | 11.1269 | + | 6.51418i | 0.605225 | + | 0.354325i | ||||
\(339\) | 19.8759 | − | 7.58058i | 1.07951 | − | 0.411721i | ||||
\(340\) | 38.0881 | + | 0.460764i | 2.06562 | + | 0.0249884i | ||||
\(341\) | 30.9663i | 1.67692i | ||||||||
\(342\) | 0.897219 | − | 5.93727i | 0.0485161 | − | 0.321051i | ||||
\(343\) | −5.60398 | − | 17.6521i | −0.302586 | − | 0.953122i | ||||
\(344\) | −2.88931 | − | 18.3244i | −0.155781 | − | 0.987986i | ||||
\(345\) | 0.881033 | + | 4.58522i | 0.0474332 | + | 0.246860i | ||||
\(346\) | −2.96907 | + | 5.07148i | −0.159618 | + | 0.272645i | ||||
\(347\) | 5.24781 | − | 29.7618i | 0.281717 | − | 1.59770i | −0.435064 | − | 0.900399i | \(-0.643274\pi\) |
0.716781 | − | 0.697298i | \(-0.245615\pi\) | |||||||
\(348\) | 15.4926 | + | 12.9155i | 0.830491 | + | 0.692344i | ||||
\(349\) | −0.861877 | − | 4.88795i | −0.0461352 | − | 0.261646i | 0.953012 | − | 0.302932i | \(-0.0979655\pi\) |
−0.999147 | + | 0.0412863i | \(0.986854\pi\) | |||||||
\(350\) | 8.24874 | − | 18.1207i | 0.440914 | − | 0.968592i | ||||
\(351\) | 24.2350 | + | 3.13474i | 1.29357 | + | 0.167320i | ||||
\(352\) | −14.0540 | + | 15.7557i | −0.749080 | + | 0.839783i | ||||
\(353\) | −0.148784 | + | 0.408781i | −0.00791897 | + | 0.0217572i | −0.943589 | − | 0.331119i | \(-0.892574\pi\) |
0.935670 | + | 0.352876i | \(0.114796\pi\) | |||||||
\(354\) | 4.13841 | + | 1.46304i | 0.219954 | + | 0.0777598i | ||||
\(355\) | −6.82211 | + | 8.13027i | −0.362080 | + | 0.431510i | ||||
\(356\) | 7.17872 | + | 8.76852i | 0.380471 | + | 0.464731i | ||||
\(357\) | 3.19198 | + | 26.9785i | 0.168938 | + | 1.42786i | ||||
\(358\) | −3.74613 | − | 10.4894i | −0.197989 | − | 0.554381i | ||||
\(359\) | −0.288205 | + | 0.499186i | −0.0152109 | + | 0.0263460i | −0.873531 | − | 0.486769i | \(-0.838175\pi\) |
0.858320 | + | 0.513115i | \(0.171509\pi\) | |||||||
\(360\) | 4.39898 | − | 26.9030i | 0.231847 | − | 1.41791i | ||||
\(361\) | −8.49844 | − | 14.7197i | −0.447286 | − | 0.774723i | ||||
\(362\) | −9.59027 | − | 26.8533i | −0.504053 | − | 1.41138i | ||||
\(363\) | −5.01058 | − | 0.804663i | −0.262987 | − | 0.0422339i | ||||
\(364\) | 22.5863 | + | 10.4469i | 1.18384 | + | 0.547567i | ||||
\(365\) | −34.0151 | − | 5.99778i | −1.78043 | − | 0.313938i | ||||
\(366\) | 16.4685 | − | 29.1437i | 0.860824 | − | 1.52337i | ||||
\(367\) | −14.1614 | + | 2.49704i | −0.739220 | + | 0.130344i | −0.530564 | − | 0.847645i | \(-0.678020\pi\) |
−0.208655 | + | 0.977989i | \(0.566909\pi\) | |||||||
\(368\) | 0.502694 | + | 3.31850i | 0.0262048 | + | 0.172989i | ||||
\(369\) | −8.92044 | − | 22.3556i | −0.464380 | − | 1.16379i | ||||
\(370\) | 39.6142 | + | 14.6903i | 2.05945 | + | 0.763715i | ||||
\(371\) | 4.69742 | − | 10.4870i | 0.243878 | − | 0.544457i | ||||
\(372\) | −14.4503 | − | 24.8445i | −0.749212 | − | 1.28813i | ||||
\(373\) | −3.32932 | + | 18.8815i | −0.172386 | + | 0.977648i | 0.768733 | + | 0.639570i | \(0.220888\pi\) |
−0.941118 | + | 0.338078i | \(0.890223\pi\) | |||||||
\(374\) | 15.4812 | + | 27.1928i | 0.800515 | + | 1.40610i | ||||
\(375\) | 0.917023 | + | 1.53365i | 0.0473549 | + | 0.0791976i | ||||
\(376\) | 1.52268 | − | 3.95852i | 0.0785261 | − | 0.204145i | ||||
\(377\) | − | 27.3830i | − | 1.41029i | ||||||
\(378\) | 19.4321 | + | 0.626194i | 0.999481 | + | 0.0322079i | ||||
\(379\) | 20.0522i | 1.03001i | 0.857186 | + | 0.515006i | \(0.172210\pi\) | ||||
−0.857186 | + | 0.515006i | \(0.827790\pi\) | |||||||
\(380\) | 4.45132 | + | 7.92992i | 0.228348 | + | 0.406796i | ||||
\(381\) | 27.6881 | − | 0.423656i | 1.41851 | − | 0.0217046i | ||||
\(382\) | 5.80683 | − | 3.30591i | 0.297103 | − | 0.169145i | ||||
\(383\) | 6.13778 | − | 34.8091i | 0.313626 | − | 1.77866i | −0.266199 | − | 0.963918i | \(-0.585768\pi\) |
0.579824 | − | 0.814741i | \(-0.303121\pi\) | |||||||
\(384\) | 3.92329 | − | 19.1992i | 0.200209 | − | 0.979753i | ||||
\(385\) | 31.5575 | − | 3.24501i | 1.60832 | − | 0.165381i | ||||
\(386\) | 0.656833 | − | 1.77123i | 0.0334319 | − | 0.0901531i | ||||
\(387\) | −6.16079 | + | 18.6867i | −0.313170 | + | 0.949899i | ||||
\(388\) | 14.2873 | − | 5.00527i | 0.725327 | − | 0.254104i | ||||
\(389\) | 3.37204 | − | 0.594582i | 0.170969 | − | 0.0301465i | −0.0875081 | − | 0.996164i | \(-0.527890\pi\) |
0.258477 | + | 0.966017i | \(0.416779\pi\) | |||||||
\(390\) | −31.8779 | + | 18.8000i | −1.61420 | + | 0.951977i | ||||
\(391\) | 4.89877 | + | 0.863785i | 0.247741 | + | 0.0436835i | ||||
\(392\) | 18.6866 | + | 6.54308i | 0.943815 | + | 0.330475i | ||||
\(393\) | −3.37878 | − | 8.85900i | −0.170437 | − | 0.446878i | ||||
\(394\) | 27.4746 | − | 9.81216i | 1.38415 | − | 0.494330i | ||||
\(395\) | −2.73608 | − | 4.73903i | −0.137667 | − | 0.238446i | ||||
\(396\) | 20.8979 | − | 8.04712i | 1.05016 | − | 0.404383i | ||||
\(397\) | −11.4533 | + | 19.8376i | −0.574823 | + | 0.995623i | 0.421238 | + | 0.906950i | \(0.361596\pi\) |
−0.996061 | + | 0.0886727i | \(0.971737\pi\) | |||||||
\(398\) | 11.5240 | − | 4.11563i | 0.577645 | − | 0.206298i | ||||
\(399\) | −5.19693 | + | 3.88039i | −0.260172 | + | 0.194263i | ||||
\(400\) | 10.1932 | + | 18.6850i | 0.509661 | + | 0.934249i | ||||
\(401\) | −2.62189 | + | 3.12465i | −0.130931 | + | 0.156038i | −0.827527 | − | 0.561426i | \(-0.810253\pi\) |
0.696596 | + | 0.717464i | \(0.254697\pi\) | |||||||
\(402\) | 33.8522 | − | 6.29252i | 1.68840 | − | 0.313842i | ||||
\(403\) | −13.3454 | + | 36.6661i | −0.664781 | + | 1.82647i | ||||
\(404\) | −1.95653 | − | 5.58480i | −0.0973408 | − | 0.277854i | ||||
\(405\) | −17.1960 | + | 23.2445i | −0.854476 | + | 1.15503i | ||||
\(406\) | −2.09737 | − | 21.6850i | −0.104091 | − | 1.07621i | ||||
\(407\) | 6.02694 | + | 34.1805i | 0.298744 | + | 1.69426i | ||||
\(408\) | −25.1101 | − | 14.5927i | −1.24313 | − | 0.722447i | ||||
\(409\) | 0.390371 | − | 2.21390i | 0.0193026 | − | 0.109470i | −0.973634 | − | 0.228115i | \(-0.926744\pi\) |
0.992937 | + | 0.118645i | \(0.0378549\pi\) | |||||||
\(410\) | 31.4579 | + | 18.4168i | 1.55360 | + | 0.909543i | ||||
\(411\) | 6.62077 | − | 5.73037i | 0.326579 | − | 0.282658i | ||||
\(412\) | −23.6973 | − | 14.0665i | −1.16748 | − | 0.693008i | ||||
\(413\) | −2.06876 | − | 4.26594i | −0.101797 | − | 0.209913i | ||||
\(414\) | 1.13509 | − | 3.37415i | 0.0557865 | − | 0.165830i | ||||
\(415\) | 7.03115i | 0.345145i | ||||||||
\(416\) | −23.4310 | + | 12.5990i | −1.14880 | + | 0.617718i | ||||
\(417\) | −0.0633275 | + | 0.394336i | −0.00310116 | + | 0.0193107i | ||||
\(418\) | −3.77425 | + | 6.44683i | −0.184605 | + | 0.315325i | ||||
\(419\) | 2.21290 | − | 12.5500i | 0.108107 | − | 0.613106i | −0.881827 | − | 0.471574i | \(-0.843686\pi\) |
0.989934 | − | 0.141532i | \(-0.0452028\pi\) | |||||||
\(420\) | −23.8046 | + | 17.3297i | −1.16154 | + | 0.845601i | ||||
\(421\) | −12.9191 | + | 10.8404i | −0.629638 | + | 0.528329i | −0.900816 | − | 0.434200i | \(-0.857031\pi\) |
0.271179 | + | 0.962529i | \(0.412587\pi\) | |||||||
\(422\) | −19.0711 | + | 15.8070i | −0.928366 | + | 0.769471i | ||||
\(423\) | −3.35601 | + | 2.99569i | −0.163175 | + | 0.145656i | ||||
\(424\) | 5.94814 | + | 10.7483i | 0.288867 | + | 0.521982i | ||||
\(425\) | 31.0658 | − | 5.47774i | 1.50691 | − | 0.265709i | ||||
\(426\) | 7.57819 | − | 2.83790i | 0.367164 | − | 0.137497i | ||||
\(427\) | −34.7787 | + | 9.88795i | −1.68306 | + | 0.478512i | ||||
\(428\) | −3.62506 | − | 22.1202i | −0.175224 | − | 1.06922i | ||||
\(429\) | −26.5582 | − | 14.7963i | −1.28224 | − | 0.714372i | ||||
\(430\) | −10.0222 | − | 28.0627i | −0.483312 | − | 1.35330i | ||||
\(431\) | −5.45098 | + | 9.44137i | −0.262564 | + | 0.454775i | −0.966923 | − | 0.255070i | \(-0.917902\pi\) |
0.704358 | + | 0.709845i | \(0.251235\pi\) | |||||||
\(432\) | −13.0114 | + | 16.2082i | −0.626010 | + | 0.779815i | ||||
\(433\) | −17.6119 | −0.846374 | −0.423187 | − | 0.906042i | \(-0.639089\pi\) | ||||
−0.423187 | + | 0.906042i | \(0.639089\pi\) | |||||||
\(434\) | −7.75999 | + | 30.0586i | −0.372492 | + | 1.44286i | ||||
\(435\) | 28.3035 | + | 15.7687i | 1.35705 | + | 0.756049i | ||||
\(436\) | 10.3025 | − | 8.43460i | 0.493402 | − | 0.403944i | ||||
\(437\) | 0.406175 | + | 1.11596i | 0.0194300 | + | 0.0533835i | ||||
\(438\) | 20.3295 | + | 16.7404i | 0.971380 | + | 0.799888i | ||||
\(439\) | 32.2887 | − | 5.69336i | 1.54105 | − | 0.271729i | 0.662386 | − | 0.749163i | \(-0.269544\pi\) |
0.878668 | + | 0.477433i | \(0.158433\pi\) | |||||||
\(440\) | −17.4873 | + | 29.0581i | −0.833673 | + | 1.38529i | ||||
\(441\) | −14.4542 | − | 15.2341i | −0.688294 | − | 0.725432i | ||||
\(442\) | 6.61165 | + | 38.8699i | 0.314484 | + | 1.84885i | ||||
\(443\) | 11.2832 | + | 4.10674i | 0.536079 | + | 0.195117i | 0.595851 | − | 0.803095i | \(-0.296815\pi\) |
−0.0597715 | + | 0.998212i | \(0.519037\pi\) | |||||||
\(444\) | −20.7856 | − | 24.6108i | −0.986441 | − | 1.16798i | ||||
\(445\) | 13.9446 | + | 11.7009i | 0.661036 | + | 0.554675i | ||||
\(446\) | −3.55237 | + | 6.06784i | −0.168210 | + | 0.287320i | ||||
\(447\) | −2.07355 | + | 12.9119i | −0.0980758 | + | 0.610711i | ||||
\(448\) | −17.5903 | + | 11.7720i | −0.831065 | + | 0.556176i | ||||
\(449\) | 5.46357 | + | 3.15439i | 0.257842 | + | 0.148865i | 0.623350 | − | 0.781943i | \(-0.285771\pi\) |
−0.365508 | + | 0.930808i | \(0.619105\pi\) | |||||||
\(450\) | −0.554204 | − | 22.5688i | −0.0261254 | − | 1.06390i | ||||
\(451\) | 29.9449i | 1.41005i | ||||||||
\(452\) | 21.4195 | − | 12.0234i | 1.00749 | − | 0.565535i | ||||
\(453\) | −14.7899 | − | 5.12821i | −0.694888 | − | 0.240944i | ||||
\(454\) | −0.0949820 | + | 15.7035i | −0.00445773 | + | 0.737004i | ||||
\(455\) | 38.7647 | + | 9.75786i | 1.81731 | + | 0.457456i | ||||
\(456\) | 0.0197283 | − | 6.93358i | 0.000923860 | − | 0.324695i | ||||
\(457\) | 13.1991 | − | 11.0753i | 0.617426 | − | 0.518082i | −0.279567 | − | 0.960126i | \(-0.590191\pi\) |
0.896993 | + | 0.442044i | \(0.145746\pi\) | |||||||
\(458\) | −12.2027 | + | 2.07565i | −0.570195 | + | 0.0969886i | ||||
\(459\) | 16.6099 | + | 25.9424i | 0.775283 | + | 1.21089i | ||||
\(460\) | 1.78255 | + | 5.08820i | 0.0831118 | + | 0.237238i | ||||
\(461\) | 40.1495 | − | 7.07944i | 1.86995 | − | 0.329722i | 0.880435 | − | 0.474166i | \(-0.157250\pi\) |
0.989513 | + | 0.144444i | \(0.0461393\pi\) | |||||||
\(462\) | −22.1651 | − | 9.68321i | −1.03121 | − | 0.450504i | ||||
\(463\) | 3.86339 | + | 10.6146i | 0.179547 | + | 0.493302i | 0.996518 | − | 0.0833772i | \(-0.0265706\pi\) |
−0.816971 | + | 0.576679i | \(0.804348\pi\) | |||||||
\(464\) | 19.8824 | + | 12.1297i | 0.923019 | + | 0.563108i | ||||
\(465\) | −30.2137 | − | 34.9084i | −1.40113 | − | 1.61884i | ||||
\(466\) | −1.80356 | + | 9.87870i | −0.0835481 | + | 0.457622i | ||||
\(467\) | 1.64818 | − | 2.85474i | 0.0762689 | − | 0.132102i | −0.825368 | − | 0.564594i | \(-0.809033\pi\) |
0.901637 | + | 0.432493i | \(0.142366\pi\) | |||||||
\(468\) | 28.2125 | − | 0.522071i | 1.30412 | − | 0.0241327i | ||||
\(469\) | −30.7858 | − | 20.8663i | −1.42155 | − | 0.963514i | ||||
\(470\) | 1.22360 | − | 6.70209i | 0.0564405 | − | 0.309144i | ||||
\(471\) | −4.51891 | − | 0.725705i | −0.208221 | − | 0.0334387i | ||||
\(472\) | 4.97466 | + | 0.970548i | 0.228977 | + | 0.0446731i | ||||
\(473\) | 15.7347 | − | 18.7519i | 0.723484 | − | 0.862215i | ||||
\(474\) | 0.0385988 | + | 4.17208i | 0.00177290 | + | 0.191630i | ||||
\(475\) | 4.84088 | + | 5.76914i | 0.222115 | + | 0.264706i | ||||
\(476\) | 8.21305 | + | 30.2752i | 0.376445 | + | 1.38766i | ||||
\(477\) | −0.398636 | − | 13.0234i | −0.0182523 | − | 0.596302i | ||||
\(478\) | 27.2409 | − | 4.63360i | 1.24597 | − | 0.211936i | ||||
\(479\) | 11.3406 | − | 9.51593i | 0.518167 | − | 0.434794i | −0.345825 | − | 0.938299i | \(-0.612401\pi\) |
0.863992 | + | 0.503505i | \(0.167956\pi\) | |||||||
\(480\) | 0.470320 | − | 31.4739i | 0.0214671 | − | 1.43658i | ||||
\(481\) | −7.59427 | + | 43.0693i | −0.346269 | + | 1.96379i | ||||
\(482\) | −32.2496 | − | 18.8803i | −1.46893 | − | 0.859973i | ||||
\(483\) | −3.43375 | + | 1.73057i | −0.156241 | + | 0.0787437i | ||||
\(484\) | −5.85943 | − | 0.0708834i | −0.266338 | − | 0.00322197i | ||||
\(485\) | 21.0597 | − | 12.1588i | 0.956271 | − | 0.552103i | ||||
\(486\) | 20.1338 | − | 8.97951i | 0.913286 | − | 0.407319i | ||||
\(487\) | −7.73291 | − | 4.46460i | −0.350411 | − | 0.202310i | 0.314455 | − | 0.949272i | \(-0.398178\pi\) |
−0.664866 | + | 0.746962i | \(0.731512\pi\) | |||||||
\(488\) | 13.8771 | − | 36.0766i | 0.628188 | − | 1.63311i | ||||
\(489\) | 35.4597 | − | 0.542568i | 1.60354 | − | 0.0245358i | ||||
\(490\) | 31.4457 | + | 4.75825i | 1.42057 | + | 0.214956i | ||||
\(491\) | −16.6774 | − | 13.9940i | −0.752641 | − | 0.631540i | 0.183559 | − | 0.983009i | \(-0.441238\pi\) |
−0.936200 | + | 0.351468i | \(0.885683\pi\) | |||||||
\(492\) | −13.9736 | − | 24.0250i | −0.629980 | − | 1.08313i | ||||
\(493\) | 26.4422 | − | 22.1876i | 1.19090 | − | 0.999281i | ||||
\(494\) | −7.24732 | + | 6.00690i | −0.326072 | + | 0.270263i | ||||
\(495\) | 30.5874 | − | 18.9305i | 1.37480 | − | 0.850861i | ||||
\(496\) | −20.7113 | − | 25.9318i | −0.929964 | − | 1.16437i | ||||
\(497\) | −7.97682 | − | 3.57305i | −0.357809 | − | 0.160273i | ||||
\(498\) | 2.63739 | − | 4.66728i | 0.118184 | − | 0.209146i | ||||
\(499\) | 11.6002 | + | 31.8713i | 0.519296 | + | 1.42675i | 0.871298 | + | 0.490755i | \(0.163279\pi\) |
−0.352002 | + | 0.935999i | \(0.614499\pi\) | |||||||
\(500\) | 1.30707 | + | 1.59654i | 0.0584540 | + | 0.0713993i | ||||
\(501\) | −3.73626 | − | 9.79630i | −0.166924 | − | 0.437666i | ||||
\(502\) | −3.03742 | − | 8.50494i | −0.135567 | − | 0.379594i | ||||
\(503\) | −10.3356 | + | 17.9017i | −0.460839 | + | 0.798197i | −0.999003 | − | 0.0446431i | \(-0.985785\pi\) |
0.538164 | + | 0.842840i | \(0.319118\pi\) | |||||||
\(504\) | 22.3019 | − | 2.57434i | 0.993404 | − | 0.114670i | ||||
\(505\) | −4.75280 | − | 8.23209i | −0.211497 | − | 0.366323i | ||||
\(506\) | −2.86732 | + | 3.37547i | −0.127468 | + | 0.150058i | ||||
\(507\) | −10.3343 | − | 11.9401i | −0.458964 | − | 0.530279i | ||||
\(508\) | 31.5543 | − | 5.17113i | 1.40000 | − | 0.229432i | ||||
\(509\) | −2.44443 | + | 2.91316i | −0.108348 | + | 0.129124i | −0.817493 | − | 0.575939i | \(-0.804637\pi\) |
0.709145 | + | 0.705063i | \(0.249081\pi\) | |||||||
\(510\) | −43.9839 | − | 15.5495i | −1.94764 | − | 0.688545i | ||||
\(511\) | −2.90962 | − | 28.2958i | −0.128714 | − | 1.25173i | ||||
\(512\) | 1.23112 | − | 22.5939i | 0.0544084 | − | 0.998519i | ||||
\(513\) | −3.38100 | + | 6.53093i | −0.149275 | + | 0.288348i | ||||
\(514\) | 1.79888 | + | 10.5756i | 0.0793452 | + | 0.466470i | ||||
\(515\) | −41.5970 | − | 15.1401i | −1.83298 | − | 0.667152i | ||||
\(516\) | −3.87360 | + | 22.3873i | −0.170526 | + | 0.985548i | ||||
\(517\) | 5.25911 | − | 1.91416i | 0.231295 | − | 0.0841846i | ||||
\(518\) | −2.71517 | + | 34.6888i | −0.119298 | + | 1.52414i | ||||
\(519\) | 5.44212 | − | 4.71023i | 0.238883 | − | 0.206756i | ||||
\(520\) | −33.2291 | + | 26.8703i | −1.45719 | + | 1.17834i | ||||
\(521\) | − | 9.66709i | − | 0.423523i | −0.977321 | − | 0.211761i | \(-0.932080\pi\) | ||
0.977321 | − | 0.211761i | \(-0.0679200\pi\) | |||||||
\(522\) | −12.8730 | − | 21.0839i | −0.563438 | − | 0.922818i | ||||
\(523\) | 5.64342i | 0.246770i | 0.992359 | + | 0.123385i | \(0.0393750\pi\) | ||||
−0.992359 | + | 0.123385i | \(0.960625\pi\) | |||||||
\(524\) | −5.35903 | − | 9.54698i | −0.234110 | − | 0.417062i | ||||
\(525\) | −16.7086 | + | 17.7602i | −0.729221 | + | 0.775121i | ||||
\(526\) | 0.143494 | − | 0.0816932i | 0.00625664 | − | 0.00356199i | ||||
\(527\) | −46.2198 | + | 16.8226i | −2.01337 | + | 0.732806i | ||||
\(528\) | 22.5078 | − | 12.7293i | 0.979526 | − | 0.553973i | ||||
\(529\) | −3.87165 | − | 21.9572i | −0.168332 | − | 0.954661i | ||||
\(530\) | 12.5923 | + | 15.1926i | 0.546973 | + | 0.659923i | ||||
\(531\) | −4.22198 | − | 3.32795i | −0.183218 | − | 0.144421i | ||||
\(532\) | −5.27916 | + | 5.31205i | −0.228881 | + | 0.230306i | ||||
\(533\) | −12.9052 | + | 35.4567i | −0.558985 | + | 1.53580i | ||||
\(534\) | −4.86741 | − | 12.9977i | −0.210633 | − | 0.562465i | ||||
\(535\) | −12.3148 | − | 33.8348i | −0.532417 | − | 1.46280i | ||||
\(536\) | 37.6016 | − | 12.9182i | 1.62414 | − | 0.557980i | ||||
\(537\) | 0.208704 | + | 13.6399i | 0.00900624 | + | 0.588605i | ||||
\(538\) | 16.7135 | + | 14.1975i | 0.720572 | + | 0.612097i | ||||
\(539\) | 9.67779 | + | 24.2674i | 0.416852 | + | 1.04527i | ||||
\(540\) | −15.7067 | + | 29.4615i | −0.675909 | + | 1.26782i | ||||
\(541\) | 15.2984 | + | 26.4976i | 0.657730 | + | 1.13922i | 0.981202 | + | 0.192984i | \(0.0618166\pi\) |
−0.323472 | + | 0.946238i | \(0.604850\pi\) | |||||||
\(542\) | −27.7025 | + | 9.89355i | −1.18992 | + | 0.424964i | ||||
\(543\) | 0.534293 | + | 34.9188i | 0.0229287 | + | 1.49851i | ||||
\(544\) | −31.1517 | − | 12.4174i | −1.33562 | − | 0.532390i | ||||
\(545\) | 13.7479 | − | 16.3841i | 0.588895 | − | 0.701818i | ||||
\(546\) | −22.0718 | − | 21.0179i | −0.944587 | − | 0.899484i | ||||
\(547\) | 5.82814 | − | 16.0127i | 0.249193 | − | 0.684652i | −0.750523 | − | 0.660844i | \(-0.770199\pi\) |
0.999717 | − | 0.0238086i | \(-0.00757923\pi\) | |||||||
\(548\) | 6.59234 | − | 7.66617i | 0.281611 | − | 0.327482i | ||||
\(549\) | −30.5855 | + | 27.3017i | −1.30536 | + | 1.16521i | ||||
\(550\) | −9.76550 | + | 26.3338i | −0.416402 | + | 1.12288i | ||||
\(551\) | 7.74383 | + | 2.81852i | 0.329898 | + | 0.120073i | ||||
\(552\) | 0.725328 | − | 4.04618i | 0.0308720 | − | 0.172217i | ||||
\(553\) | 3.13780 | − | 3.23469i | 0.133433 | − | 0.137553i | ||||
\(554\) | 24.8343 | − | 14.1385i | 1.05511 | − | 0.600688i | ||||
\(555\) | −40.1439 | − | 32.6513i | −1.70401 | − | 1.38597i | ||||
\(556\) | −0.00557857 | + | 0.461140i | −0.000236584 | + | 0.0195567i | ||||
\(557\) | −27.7137 | + | 16.0005i | −1.17427 | + | 0.677964i | −0.954681 | − | 0.297629i | \(-0.903804\pi\) |
−0.219586 | + | 0.975593i | \(0.570471\pi\) | |||||||
\(558\) | 6.96170 | + | 34.5054i | 0.294712 | + | 1.46073i | ||||
\(559\) | 26.7124 | − | 15.4224i | 1.12981 | − | 0.652298i | ||||
\(560\) | −24.2565 | + | 23.8241i | −1.02502 | + | 1.00675i | ||||
\(561\) | −7.23139 | − | 37.6348i | −0.305310 | − | 1.58894i | ||||
\(562\) | −17.6610 | − | 31.0216i | −0.744986 | − | 1.30857i | ||||
\(563\) | 5.03737 | − | 28.5684i | 0.212300 | − | 1.20401i | −0.673231 | − | 0.739432i | \(-0.735094\pi\) |
0.885531 | − | 0.464581i | \(-0.153795\pi\) | |||||||
\(564\) | −3.32619 | + | 3.98988i | −0.140058 | + | 0.168004i | ||||
\(565\) | 30.2256 | − | 25.3623i | 1.27160 | − | 1.06700i | ||||
\(566\) | −35.5803 | + | 29.4905i | −1.49555 | + | 1.23958i | ||||
\(567\) | −22.2859 | − | 8.38674i | −0.935921 | − | 0.352210i | ||||
\(568\) | 8.17557 | − | 4.52440i | 0.343039 | − | 0.189840i | ||||
\(569\) | −9.18826 | − | 10.9501i | −0.385192 | − | 0.459054i | 0.538254 | − | 0.842783i | \(-0.319084\pi\) |
−0.923446 | + | 0.383729i | \(0.874640\pi\) | |||||||
\(570\) | −2.03542 | − | 10.9501i | −0.0852543 | − | 0.458648i | ||||
\(571\) | −27.7272 | − | 4.88906i | −1.16035 | − | 0.204601i | −0.439860 | − | 0.898067i | \(-0.644972\pi\) |
−0.720490 | + | 0.693466i | \(0.756083\pi\) | |||||||
\(572\) | −32.8402 | − | 12.4048i | −1.37312 | − | 0.518669i | ||||
\(573\) | −8.03666 | + | 1.54422i | −0.335736 | + | 0.0645105i | ||||
\(574\) | −7.50403 | + | 29.0671i | −0.313212 | + | 1.21324i | ||||
\(575\) | 2.23245 | + | 3.86672i | 0.0930996 | + | 0.161253i | ||||
\(576\) | −12.1181 | + | 20.7160i | −0.504920 | + | 0.863166i | ||||
\(577\) | 8.77887 | + | 15.2055i | 0.365469 | + | 0.633011i | 0.988851 | − | 0.148906i | \(-0.0475752\pi\) |
−0.623382 | + | 0.781917i | \(0.714242\pi\) | |||||||
\(578\) | −16.6125 | + | 19.5565i | −0.690987 | + | 0.813443i | ||||
\(579\) | −1.45990 | + | 1.79491i | −0.0606714 | + | 0.0745939i | ||||
\(580\) | 34.9983 | + | 13.2200i | 1.45323 | + | 0.548929i | ||||
\(581\) | −5.56971 | + | 1.58353i | −0.231070 | + | 0.0656958i | ||||
\(582\) | −18.5402 | + | 0.171528i | −0.768516 | + | 0.00711007i | ||||
\(583\) | −5.54414 | + | 15.2324i | −0.229615 | + | 0.630861i | ||||
\(584\) | 26.0547 | + | 15.6798i | 1.07815 | + | 0.648835i | ||||
\(585\) | 44.3759 | − | 9.23280i | 1.83472 | − | 0.381729i | ||||
\(586\) | −4.00200 | − | 23.5277i | −0.165321 | − | 0.971922i | ||||
\(587\) | 6.94506 | + | 2.52779i | 0.286653 | + | 0.104333i | 0.481345 | − | 0.876531i | \(-0.340148\pi\) |
−0.194692 | + | 0.980864i | \(0.562371\pi\) | |||||||
\(588\) | −19.0888 | − | 14.9538i | −0.787210 | − | 0.616685i | ||||
\(589\) | −8.99545 | − | 7.54808i | −0.370651 | − | 0.311013i | ||||
\(590\) | 8.14143 | + | 0.0492430i | 0.335178 | + | 0.00202730i | ||||
\(591\) | −35.7267 | + | 0.546655i | −1.46960 | + | 0.0224864i | ||||
\(592\) | −27.9081 | − | 24.5923i | −1.14701 | − | 1.01074i | ||||
\(593\) | 40.3128 | − | 23.2746i | 1.65545 | − | 0.955773i | 0.680671 | − | 0.732590i | \(-0.261689\pi\) |
0.974777 | − | 0.223183i | \(-0.0716448\pi\) | |||||||
\(594\) | −27.4048 | + | 1.09269i | −1.12443 | + | 0.0448335i | ||||
\(595\) | 21.9873 | + | 45.3394i | 0.901391 | + | 1.85873i | ||||
\(596\) | −0.182661 | + | 15.0993i | −0.00748209 | + | 0.618491i | ||||
\(597\) | −14.9853 | + | 0.229289i | −0.613306 | + | 0.00938419i | ||||
\(598\) | −4.84980 | + | 2.76106i | −0.198323 | + | 0.112908i | ||||
\(599\) | −28.0300 | + | 10.2021i | −1.14527 | + | 0.416846i | −0.843816 | − | 0.536633i | \(-0.819696\pi\) |
−0.301459 | + | 0.953479i | \(0.597474\pi\) | |||||||
\(600\) | −4.45361 | − | 25.6848i | −0.181818 | − | 1.04858i | ||||
\(601\) | 15.8974 | + | 5.78620i | 0.648470 | + | 0.236024i | 0.645251 | − | 0.763971i | \(-0.276753\pi\) |
0.00321967 | + | 0.999995i | \(0.498975\pi\) | |||||||
\(602\) | 19.9726 | − | 14.2592i | 0.814024 | − | 0.581162i | ||||
\(603\) | −41.7345 | − | 6.04881i | −1.69956 | − | 0.246327i | ||||
\(604\) | −17.7615 | − | 3.35385i | −0.722704 | − | 0.136466i | ||||
\(605\) | −9.26983 | + | 1.63452i | −0.376872 | + | 0.0664527i | ||||
\(606\) | 0.0670492 | + | 7.24724i | 0.00272369 | + | 0.294399i | ||||
\(607\) | −10.1926 | − | 28.0039i | −0.413704 | − | 1.13664i | −0.955206 | − | 0.295942i | \(-0.904366\pi\) |
0.541502 | − | 0.840699i | \(-0.317856\pi\) | |||||||
\(608\) | −1.15122 | − | 7.92304i | −0.0466883 | − | 0.321322i | ||||
\(609\) | −6.11671 | + | 25.9719i | −0.247862 | + | 1.05243i | ||||
\(610\) | 11.1515 | − | 61.0805i | 0.451510 | − | 2.47308i | ||||
\(611\) | 7.05206 | 0.285296 | ||||||||
\(612\) | 23.3639 | + | 26.8202i | 0.944430 | + | 1.08414i | ||||
\(613\) | 6.60842 | 0.266912 | 0.133456 | − | 0.991055i | \(-0.457393\pi\) | ||||
0.133456 | + | 0.991055i | \(0.457393\pi\) | |||||||
\(614\) | 8.48593 | + | 7.20845i | 0.342464 | + | 0.290909i | ||||
\(615\) | −29.2171 | − | 33.7570i | −1.17815 | − | 1.36121i | ||||
\(616\) | −26.9568 | − | 7.30814i | −1.08612 | − | 0.294454i | ||||
\(617\) | 1.55823 | + | 4.28120i | 0.0627319 | + | 0.172354i | 0.967099 | − | 0.254402i | \(-0.0818785\pi\) |
−0.904367 | + | 0.426756i | \(0.859656\pi\) | |||||||
\(618\) | 21.9331 | + | 25.6531i | 0.882278 | + | 1.03192i | ||||
\(619\) | −4.71146 | + | 12.9446i | −0.189369 | + | 0.520288i | −0.997651 | − | 0.0685086i | \(-0.978176\pi\) |
0.808281 | + | 0.588797i | \(0.200398\pi\) | |||||||
\(620\) | −40.4203 | − | 34.7585i | −1.62332 | − | 1.39594i | ||||
\(621\) | −2.64638 | + | 3.46506i | −0.106195 | + | 0.139048i | ||||
\(622\) | −17.9344 | − | 21.6378i | −0.719103 | − | 0.867597i | ||||
\(623\) | −6.12829 | + | 13.6814i | −0.245525 | + | 0.548134i | ||||
\(624\) | 32.1366 | − | 5.37230i | 1.28649 | − | 0.215064i | ||||
\(625\) | −17.8421 | − | 14.9713i | −0.713685 | − | 0.598853i | ||||
\(626\) | −13.1769 | − | 7.71434i | −0.526656 | − | 0.308327i | ||||
\(627\) | 6.91799 | − | 5.98761i | 0.276278 | − | 0.239122i | ||||
\(628\) | −5.28446 | − | 0.0639279i | −0.210873 | − | 0.00255100i | ||||
\(629\) | −47.7430 | + | 27.5645i | −1.90364 | + | 1.09907i | ||||
\(630\) | 34.4347 | − | 10.7105i | 1.37191 | − | 0.426717i | ||||
\(631\) | 1.18298 | + | 0.682993i | 0.0470936 | + | 0.0271895i | 0.523362 | − | 0.852110i | \(-0.324678\pi\) |
−0.476268 | + | 0.879300i | \(0.658011\pi\) | |||||||
\(632\) | 0.750363 | + | 4.75891i | 0.0298478 | + | 0.189299i | ||||
\(633\) | 28.3456 | − | 10.8109i | 1.12664 | − | 0.429694i | ||||
\(634\) | 22.7329 | + | 0.137499i | 0.902840 | + | 0.00546078i | ||||
\(635\) | 48.2651 | − | 17.5671i | 1.91534 | − | 0.697128i | ||||
\(636\) | −2.66002 | − | 14.8082i | −0.105477 | − | 0.587183i | ||||
\(637\) | 1.00075 | + | 32.9050i | 0.0396510 | + | 1.30374i | ||||
\(638\) | 5.15358 | + | 30.2979i | 0.204032 | + | 1.19950i | ||||
\(639\) | −9.90616 | + | 0.303219i | −0.391882 | + | 0.0119952i | ||||
\(640\) | −4.79089 | − | 36.0299i | −0.189376 | − | 1.42421i | ||||
\(641\) | 0.0725512 | + | 0.0864632i | 0.00286560 | + | 0.00341509i | 0.767475 | − | 0.641078i | \(-0.221513\pi\) |
−0.764610 | + | 0.644494i | \(0.777068\pi\) | |||||||
\(642\) | −4.51684 | + | 27.0789i | −0.178265 | + | 1.06872i | ||||
\(643\) | −11.3006 | + | 13.4675i | −0.445651 | + | 0.531107i | −0.941370 | − | 0.337377i | \(-0.890460\pi\) |
0.495718 | + | 0.868483i | \(0.334905\pi\) | |||||||
\(644\) | −3.62915 | + | 2.55799i | −0.143008 | + | 0.100799i | ||||
\(645\) | 0.558355 | + | 36.4914i | 0.0219852 | + | 1.43685i | ||||
\(646\) | −11.6728 | − | 2.13111i | −0.459261 | − | 0.0838474i | ||||
\(647\) | −13.1395 | + | 22.7582i | −0.516565 | + | 0.894718i | 0.483250 | + | 0.875483i | \(0.339456\pi\) |
−0.999815 | + | 0.0192350i | \(0.993877\pi\) | |||||||
\(648\) | 21.4772 | − | 13.6650i | 0.843702 | − | 0.536811i | ||||
\(649\) | 3.34406 | + | 5.79209i | 0.131266 | + | 0.227359i | ||||
\(650\) | −22.9119 | + | 26.9724i | −0.898680 | + | 1.05794i | ||||
\(651\) | 20.8480 | − | 31.7957i | 0.817099 | − | 1.24617i | ||||
\(652\) | 40.4111 | − | 6.62257i | 1.58262 | − | 0.259360i | ||||
\(653\) | −22.7418 | − | 4.00999i | −0.889955 | − | 0.156923i | −0.290066 | − | 0.957007i | \(-0.593677\pi\) |
−0.599889 | + | 0.800084i | \(0.704788\pi\) | |||||||
\(654\) | −15.2716 | + | 5.71894i | −0.597165 | + | 0.223628i | ||||
\(655\) | −11.3044 | − | 13.4720i | −0.441698 | − | 0.526395i | ||||
\(656\) | −20.0281 | − | 25.0764i | −0.781967 | − | 0.979068i | ||||
\(657\) | −16.9738 | − | 27.4260i | −0.662212 | − | 1.06999i | ||||
\(658\) | 5.58462 | − | 0.540144i | 0.217711 | − | 0.0210570i | ||||
\(659\) | 8.22719 | − | 6.90343i | 0.320486 | − | 0.268920i | −0.468324 | − | 0.883557i | \(-0.655142\pi\) |
0.788810 | + | 0.614637i | \(0.210698\pi\) | |||||||
\(660\) | 31.7330 | − | 26.8008i | 1.23521 | − | 1.04322i | ||||
\(661\) | 35.3720 | + | 29.6806i | 1.37581 | + | 1.15444i | 0.970733 | + | 0.240162i | \(0.0772004\pi\) |
0.405079 | + | 0.914282i | \(0.367244\pi\) | |||||||
\(662\) | −11.0547 | − | 0.0668638i | −0.429654 | − | 0.00259874i | ||||
\(663\) | 7.65683 | − | 47.6785i | 0.297366 | − | 1.85168i | ||||
\(664\) | 2.22238 | − | 5.77755i | 0.0862452 | − | 0.224213i | ||||
\(665\) | −6.74953 | + | 9.95816i | −0.261736 | + | 0.386161i | ||||
\(666\) | 14.4000 | + | 36.7320i | 0.557990 | + | 1.42333i | ||||
\(667\) | 4.23112 | + | 2.44284i | 0.163830 | + | 0.0945871i | ||||
\(668\) | −5.92602 | − | 10.5571i | −0.229285 | − | 0.408465i | ||||
\(669\) | 6.51129 | − | 5.63561i | 0.251741 | − | 0.217885i | ||||
\(670\) | 55.5013 | − | 31.5976i | 2.14420 | − | 1.22072i | ||||
\(671\) | 47.9296 | − | 17.4450i | 1.85030 | − | 0.673455i | ||||
\(672\) | 25.0379 | − | 6.71586i | 0.965859 | − | 0.259070i | ||||
\(673\) | −0.595850 | − | 3.37923i | −0.0229683 | − | 0.130260i | 0.971168 | − | 0.238398i | \(-0.0766222\pi\) |
−0.994136 | + | 0.108138i | \(0.965511\pi\) | |||||||
\(674\) | 6.52354 | − | 17.5915i | 0.251278 | − | 0.677599i | ||||
\(675\) | −8.25455 | + | 26.3885i | −0.317718 | + | 1.01569i | ||||
\(676\) | −13.8254 | − | 11.8888i | −0.531747 | − | 0.457263i | ||||
\(677\) | 16.5690 | + | 19.7462i | 0.636799 | + | 0.758908i | 0.983861 | − | 0.178934i | \(-0.0572650\pi\) |
−0.347062 | + | 0.937842i | \(0.612821\pi\) | |||||||
\(678\) | −29.5772 | + | 5.49786i | −1.13590 | + | 0.211144i | ||||
\(679\) | 14.3746 | + | 13.9440i | 0.551645 | + | 0.535122i | ||||
\(680\) | −52.8718 | − | 10.3152i | −2.02754 | − | 0.395570i | ||||
\(681\) | 6.30086 | − | 18.1718i | 0.241450 | − | 0.696345i | ||||
\(682\) | 7.86529 | − | 43.0809i | 0.301177 | − | 1.64965i | ||||
\(683\) | −25.6289 | −0.980663 | −0.490332 | − | 0.871536i | \(-0.663124\pi\) | ||||
−0.490332 | + | 0.871536i | \(0.663124\pi\) | |||||||
\(684\) | −2.75626 | + | 8.03214i | −0.105388 | + | 0.307117i | ||||
\(685\) | 8.12065 | − | 14.0654i | 0.310274 | − | 0.537410i | ||||
\(686\) | 3.31282 | + | 25.9812i | 0.126484 | + | 0.991969i | ||||
\(687\) | 14.9681 | + | 2.40377i | 0.571068 | + | 0.0917094i | ||||
\(688\) | −0.634649 | + | 26.2271i | −0.0241958 | + | 0.999899i | ||||
\(689\) | −13.1292 | + | 15.6468i | −0.500184 | + | 0.596096i | ||||
\(690\) | −0.0610871 | − | 6.60281i | −0.00232555 | − | 0.251365i | ||||
\(691\) | −8.67576 | + | 23.8365i | −0.330042 | + | 0.906782i | 0.658058 | + | 0.752967i | \(0.271378\pi\) |
−0.988100 | + | 0.153815i | \(0.950844\pi\) | |||||||
\(692\) | 5.41875 | − | 6.30141i | 0.205990 | − | 0.239544i | ||||
\(693\) | 21.8845 | + | 19.9663i | 0.831323 | + | 0.758458i | ||||
\(694\) | −14.8602 | + | 40.0722i | −0.564085 | + | 1.52112i | ||||
\(695\) | 0.128638 | + | 0.729542i | 0.00487951 | + | 0.0276731i | ||||
\(696\) | −18.2731 | − | 21.9033i | −0.692641 | − | 0.830243i | ||||
\(697\) | −44.6953 | + | 16.2677i | −1.69295 | + | 0.616185i | ||||
\(698\) | −0.0424547 | + | 7.01911i | −0.00160693 | + | 0.265677i | ||||
\(699\) | 5.98576 | − | 10.7440i | 0.226402 | − | 0.406374i | ||||
\(700\) | −16.0784 | + | 23.1147i | −0.607705 | + | 0.873654i | ||||
\(701\) | − | 4.49026i | − | 0.169595i | −0.996398 | − | 0.0847973i | \(-0.972976\pi\) | ||
0.996398 | − | 0.0847973i | \(-0.0270243\pi\) | |||||||
\(702\) | −32.9200 | − | 10.5167i | −1.24248 | − | 0.396926i | ||||
\(703\) | −11.3982 | − | 6.58075i | −0.429891 | − | 0.248198i | ||||
\(704\) | 23.5540 | − | 18.3500i | 0.887726 | − | 0.691592i | ||||
\(705\) | −4.06097 | + | 7.28912i | −0.152945 | + | 0.274524i | ||||
\(706\) | 0.310819 | − | 0.530912i | 0.0116978 | − | 0.0199811i | ||||
\(707\) | 5.45062 | − | 5.61892i | 0.204992 | − | 0.211321i | ||||
\(708\) | −5.38582 | − | 3.08654i | −0.202411 | − | 0.115999i | ||||
\(709\) | −1.51619 | − | 8.59872i | −0.0569416 | − | 0.322932i | 0.943010 | − | 0.332764i | \(-0.107981\pi\) |
−0.999952 | + | 0.00983238i | \(0.996870\pi\) | |||||||
\(710\) | 11.5561 | − | 9.57819i | 0.433692 | − | 0.359463i | ||||
\(711\) | 1.59998 | − | 4.85300i | 0.0600038 | − | 0.182002i | ||||
\(712\) | −7.76000 | − | 14.0223i | −0.290818 | − | 0.525507i | ||||
\(713\) | −4.47498 | − | 5.33307i | −0.167589 | − | 0.199725i | ||||
\(714\) | 2.41166 | − | 38.3438i | 0.0902542 | − | 1.43498i | ||||
\(715\) | −55.5333 | − | 9.79202i | −2.07683 | − | 0.366201i | ||||
\(716\) | 2.54743 | + | 15.5445i | 0.0952021 | + | 0.580925i | ||||
\(717\) | −33.4142 | − | 5.36609i | −1.24788 | − | 0.200400i | ||||
\(718\) | 0.527746 | − | 0.621273i | 0.0196953 | − | 0.0231857i | ||||
\(719\) | 16.4168 | 0.612242 | 0.306121 | − | 0.951993i | \(-0.400969\pi\) | ||||
0.306121 | + | 0.951993i | \(0.400969\pi\) | |||||||
\(720\) | −12.9532 | + | 36.3106i | −0.482736 | + | 1.35322i | ||||
\(721\) | 2.62487 | − | 36.3608i | 0.0977552 | − | 1.35415i | ||||
\(722\) | 8.08445 | + | 22.6369i | 0.300872 | + | 0.842458i | ||||
\(723\) | 29.9523 | + | 34.6064i | 1.11394 | + | 1.28703i | ||||
\(724\) | 6.52155 | + | 39.7947i | 0.242372 | + | 1.47896i | ||||
\(725\) | 30.5121 | + | 5.38010i | 1.13319 | + | 0.199812i | ||||
\(726\) | 6.76643 | + | 2.39212i | 0.251126 | + | 0.0887800i | ||||
\(727\) | 7.61331 | − | 1.34243i | 0.282362 | − | 0.0497880i | −0.0306736 | − | 0.999529i | \(-0.509765\pi\) |
0.313035 | + | 0.949741i | \(0.398654\pi\) | |||||||
\(728\) | −28.7690 | − | 20.2707i | −1.06625 | − | 0.751283i | ||||
\(729\) | −26.8863 | + | 2.47509i | −0.995789 | + | 0.0916699i | ||||
\(730\) | 45.7990 | + | 16.9839i | 1.69510 | + | 0.628602i | ||||
\(731\) | 36.5368 | + | 13.2983i | 1.35136 | + | 0.491856i | ||||
\(732\) | −30.3137 | + | 36.3623i | −1.12043 | + | 1.34399i | ||||
\(733\) | −11.4282 | − | 9.58944i | −0.422112 | − | 0.354194i | 0.406854 | − | 0.913493i | \(-0.366626\pi\) |
−0.828966 | + | 0.559299i | \(0.811070\pi\) | |||||||
\(734\) | 20.3358 | + | 0.123000i | 0.750609 | + | 0.00454002i | ||||
\(735\) | −34.5874 | − | 17.9141i | −1.27578 | − | 0.660773i | ||||
\(736\) | 0.143524 | − | 4.74444i | 0.00529037 | − | 0.174882i | ||||
\(737\) | 45.4352 | + | 26.2320i | 1.67363 | + | 0.966270i | ||||
\(738\) | 6.73207 | + | 33.3673i | 0.247811 | + | 1.22827i | ||||
\(739\) | 40.7732 | − | 23.5404i | 1.49987 | − | 0.865949i | 0.499868 | − | 0.866102i | \(-0.333382\pi\) |
1.00000 | 0.000152790i | \(4.86347e-5\pi\) | ||||||||
\(740\) | −51.3807 | − | 30.4993i | −1.88879 | − | 1.12118i | ||||
\(741\) | 10.7718 | − | 4.10831i | 0.395712 | − | 0.150923i | ||||
\(742\) | −9.19877 | + | 13.3965i | −0.337698 | + | 0.491803i | ||||
\(743\) | −0.384292 | + | 2.17943i | −0.0140983 | + | 0.0799556i | −0.991045 | − | 0.133527i | \(-0.957370\pi\) |
0.976947 | + | 0.213483i | \(0.0684807\pi\) | |||||||
\(744\) | 13.7931 | + | 38.2344i | 0.505680 | + | 1.40174i | ||||
\(745\) | 4.21204 | + | 23.8876i | 0.154317 | + | 0.875176i | ||||
\(746\) | 9.42762 | − | 25.4227i | 0.345170 | − | 0.930790i | ||||
\(747\) | −4.89818 | + | 4.37228i | −0.179215 | + | 0.159974i | ||||
\(748\) | −14.6309 | − | 41.7632i | −0.534959 | − | 1.52701i | ||||
\(749\) | 24.0286 | − | 17.3753i | 0.877987 | − | 0.634880i | ||||
\(750\) | −0.886239 | − | 2.36657i | −0.0323609 | − | 0.0864148i | ||||
\(751\) | 33.2962 | + | 5.87102i | 1.21500 | + | 0.214237i | 0.744171 | − | 0.667989i | \(-0.232845\pi\) |
0.470826 | + | 0.882226i | \(0.343956\pi\) | |||||||
\(752\) | −3.12382 | + | 5.12041i | −0.113914 | + | 0.186722i | ||||
\(753\) | 0.169220 | + | 11.0594i | 0.00616674 | + | 0.403029i | ||||
\(754\) | −6.95513 | + | 38.0957i | −0.253291 | + | 1.38736i | ||||
\(755\) | −29.0349 | −1.05669 | ||||||||
\(756\) | −26.8753 | − | 5.80683i | −0.977444 | − | 0.211192i | ||||
\(757\) | −10.7622 | −0.391158 | −0.195579 | − | 0.980688i | \(-0.562659\pi\) | ||||
−0.195579 | + | 0.980688i | \(0.562659\pi\) | |||||||
\(758\) | 5.09316 | − | 27.8970i | 0.184992 | − | 1.01326i | ||||
\(759\) | 4.65553 | − | 2.78370i | 0.168985 | − | 0.101042i | ||||
\(760\) | −4.17860 | − | 12.1629i | −0.151574 | − | 0.441193i | ||||
\(761\) | −34.6695 | − | 6.11316i | −1.25677 | − | 0.221602i | −0.494679 | − | 0.869076i | \(-0.664714\pi\) |
−0.762088 | + | 0.647474i | \(0.775826\pi\) | |||||||
\(762\) | −38.6278 | − | 6.44325i | −1.39934 | − | 0.233414i | ||||
\(763\) | 16.0749 | + | 7.20041i | 0.581950 | + | 0.260672i | ||||
\(764\) | −8.91825 | + | 3.12433i | −0.322651 | + | 0.113034i | ||||
\(765\) | 44.8721 | + | 35.3702i | 1.62235 | + | 1.27881i | ||||
\(766\) | −17.3803 | + | 46.8680i | −0.627976 | + | 1.69341i | ||||
\(767\) | 1.46341 | + | 8.29938i | 0.0528405 | + | 0.299673i | ||||
\(768\) | −10.3346 | + | 25.7137i | −0.372919 | + | 0.927864i | ||||
\(769\) | 4.35219 | − | 24.6825i | 0.156944 | − | 0.890073i | −0.800043 | − | 0.599943i | \(-0.795190\pi\) |
0.956987 | − | 0.290131i | \(-0.0936988\pi\) | |||||||
\(770\) | −44.7276 | − | 3.50093i | −1.61187 | − | 0.126165i | ||||
\(771\) | 2.08325 | − | 12.9722i | 0.0750263 | − | 0.467184i | ||||
\(772\) | −1.36368 | + | 2.29733i | −0.0490799 | + | 0.0826827i | ||||
\(773\) | 30.2653 | − | 17.4737i | 1.08857 | − | 0.628485i | 0.155373 | − | 0.987856i | \(-0.450342\pi\) |
0.933195 | + | 0.359371i | \(0.117009\pi\) | |||||||
\(774\) | 13.3173 | − | 24.4325i | 0.478681 | − | 0.878207i | ||||
\(775\) | −38.2340 | − | 22.0744i | −1.37341 | − | 0.792936i | ||||
\(776\) | −21.1480 | + | 3.33452i | −0.759170 | + | 0.119702i | ||||
\(777\) | 16.8236 | − | 39.1535i | 0.603543 | − | 1.40462i | ||||
\(778\) | −4.84226 | − | 0.0292881i | −0.173604 | − | 0.00105003i | ||||
\(779\) | −8.69873 | − | 7.29910i | −0.311664 | − | 0.261517i | ||||
\(780\) | 49.1242 | − | 18.0581i | 1.75893 | − | 0.646585i | ||||
\(781\) | 11.5864 | + | 4.21710i | 0.414593 | + | 0.150900i | ||||
\(782\) | −6.59586 | − | 2.44598i | −0.235867 | − | 0.0874679i | ||||
\(783\) | 6.61532 | + | 29.5230i | 0.236412 | + | 1.05507i | ||||
\(784\) | −24.3352 | − | 13.8491i | −0.869114 | − | 0.494612i | ||||
\(785\) | −8.36022 | + | 1.47413i | −0.298389 | + | 0.0526140i | ||||
\(786\) | 2.45048 | + | 13.1830i | 0.0874057 | + | 0.470222i | ||||
\(787\) | 6.87055 | + | 1.21146i | 0.244909 | + | 0.0431840i | 0.294755 | − | 0.955573i | \(-0.404762\pi\) |
−0.0498462 | + | 0.998757i | \(0.515873\pi\) | |||||||
\(788\) | −40.7154 | + | 6.67244i | −1.45043 | + | 0.237696i | ||||
\(789\) | −0.198596 | + | 0.0381595i | −0.00707020 | + | 0.00135851i | ||||
\(790\) | 2.60279 | + | 7.28797i | 0.0926033 | + | 0.259294i | ||||
\(791\) | 26.8979 | + | 18.2311i | 0.956381 | + | 0.648225i | ||||
\(792\) | −31.1174 | + | 5.88734i | −1.10571 | + | 0.209198i | ||||
\(793\) | 64.2699 | 2.28229 | ||||||||
\(794\) | 20.9727 | − | 24.6894i | 0.744292 | − | 0.876195i | ||||
\(795\) | −8.61225 | − | 22.5809i | −0.305445 | − | 0.800862i | ||||
\(796\) | −17.0777 | + | 2.79870i | −0.605304 | + | 0.0991972i | ||||
\(797\) | 19.3329 | + | 3.40890i | 0.684805 | + | 0.120750i | 0.505217 | − | 0.862992i | \(-0.331412\pi\) |
0.179588 | + | 0.983742i | \(0.442524\pi\) | |||||||
\(798\) | 8.21566 | − | 4.07848i | 0.290831 | − | 0.144377i | ||||
\(799\) | 5.71408 | + | 6.80978i | 0.202150 | + | 0.240913i | ||||
\(800\) | −9.43511 | − | 28.5839i | −0.333582 | − | 1.01059i | ||||
\(801\) | 0.520064 | + | 16.9905i | 0.0183756 | + | 0.600329i | ||||
\(802\) | 4.44127 | − | 3.68112i | 0.156827 | − | 0.129985i | ||||
\(803\) | 6.96789 | + | 39.5169i | 0.245892 | + | 1.39452i | ||||
\(804\) | −48.6941 | + | 0.155970i | −1.71731 | + | 0.00550065i | ||||
\(805\) | −4.96595 | + | 5.11928i | −0.175027 | + | 0.180431i | ||||
\(806\) | 27.8793 | − | 47.6209i | 0.982008 | − | 1.67738i | ||||
\(807\) | −13.7834 | − | 23.0518i | −0.485199 | − | 0.811460i | ||||
\(808\) | 1.30344 | + | 8.26662i | 0.0458550 | + | 0.290819i | ||||
\(809\) | 5.53347 | + | 3.19475i | 0.194547 | + | 0.112322i | 0.594109 | − | 0.804384i | \(-0.297505\pi\) |
−0.399563 | + | 0.916706i | \(0.630838\pi\) | |||||||
\(810\) | 29.8274 | − | 27.9705i | 1.04803 | − | 0.982784i | ||||
\(811\) | 34.8460i | 1.22361i | 0.791009 | + | 0.611804i | \(0.209556\pi\) | ||||
−0.791009 | + | 0.611804i | \(0.790444\pi\) | |||||||
\(812\) | −2.58997 | + | 30.7012i | −0.0908902 | + | 1.07740i | ||||
\(813\) | 36.0231 | − | 0.551189i | 1.26338 | − | 0.0193310i | ||||
\(814\) | 0.296877 | − | 49.0833i | 0.0104055 | − | 1.72037i | ||||
\(815\) | 61.8122 | − | 22.4978i | 2.16519 | − | 0.788064i | ||||
\(816\) | 31.2271 | + | 26.6795i | 1.09317 | + | 0.933969i | ||||
\(817\) | 1.61191 | + | 9.14161i | 0.0563937 | + | 0.319824i | ||||
\(818\) | −1.10541 | + | 2.98087i | −0.0386498 | + | 0.104224i | ||||
\(819\) | 17.3079 | + | 33.0729i | 0.604787 | + | 1.15566i | ||||
\(820\) | −39.0871 | − | 33.6120i | −1.36498 | − | 1.17378i | ||||
\(821\) | −2.61497 | + | 7.18457i | −0.0912630 | + | 0.250743i | −0.976923 | − | 0.213591i | \(-0.931484\pi\) |
0.885660 | + | 0.464334i | \(0.153706\pi\) | |||||||
\(822\) | −10.6664 | + | 6.29054i | −0.372034 | + | 0.219408i | ||||
\(823\) | 4.96948 | − | 5.92240i | 0.173225 | − | 0.206442i | −0.672446 | − | 0.740146i | \(-0.734756\pi\) |
0.845671 | + | 0.533705i | \(0.179201\pi\) | |||||||
\(824\) | 29.3952 | + | 25.5886i | 1.02403 | + | 0.891421i | ||||
\(825\) | 21.7052 | − | 26.6859i | 0.755677 | − | 0.929085i | ||||
\(826\) | 1.79457 | + | 6.46031i | 0.0624412 | + | 0.224783i | ||||
\(827\) | 19.7895 | − | 34.2765i | 0.688149 | − | 1.19191i | −0.284287 | − | 0.958739i | \(-0.591757\pi\) |
0.972436 | − | 0.233170i | \(-0.0749099\pi\) | |||||||
\(828\) | −2.43617 | + | 4.40586i | −0.0846627 | + | 0.153114i | ||||
\(829\) | −24.9344 | −0.866008 | −0.433004 | − | 0.901392i | \(-0.642546\pi\) | ||||
−0.433004 | + | 0.901392i | \(0.642546\pi\) | |||||||
\(830\) | 1.78588 | − | 9.78186i | 0.0619886 | − | 0.339533i | ||||
\(831\) | −34.3707 | + | 6.60421i | −1.19231 | + | 0.229098i | ||||
\(832\) | 35.7977 | − | 11.5766i | 1.24106 | − | 0.401348i | ||||
\(833\) | −30.9636 | + | 27.6283i | −1.07283 | + | 0.957265i | ||||
\(834\) | 0.188262 | − | 0.532522i | 0.00651897 | − | 0.0184397i | ||||
\(835\) | −12.5004 | − | 14.8974i | −0.432593 | − | 0.515544i | ||||
\(836\) | 6.88827 | − | 8.01031i | 0.238236 | − | 0.277042i | ||||
\(837\) | 5.53035 | − | 42.7557i | 0.191157 | − | 1.47785i | ||||
\(838\) | −6.26625 | + | 16.8977i | −0.216464 | + | 0.583720i | ||||
\(839\) | 1.23644 | + | 7.01218i | 0.0426865 | + | 0.242087i | 0.998684 | − | 0.0512879i | \(-0.0163326\pi\) |
−0.955997 | + | 0.293375i | \(0.905221\pi\) | |||||||
\(840\) | 37.5190 | − | 18.0631i | 1.29453 | − | 0.623236i | ||||
\(841\) | 4.60692 | − | 1.67678i | 0.158859 | − | 0.0578201i | ||||
\(842\) | 20.7267 | − | 11.8000i | 0.714288 | − | 0.406654i | ||||
\(843\) | 8.24960 | + | 42.9339i | 0.284131 | + | 1.47872i | ||||
\(844\) | 30.5469 | − | 17.1470i | 1.05147 | − | 0.590223i | ||||
\(845\) | −25.3659 | − | 14.6450i | −0.872615 | − | 0.503805i | ||||
\(846\) | 5.42983 | − | 3.31525i | 0.186681 | − | 0.113981i | ||||
\(847\) | −3.38250 | − | 6.97496i | −0.116224 | − | 0.239662i | ||||
\(848\) | −5.54516 | − | 16.4640i | −0.190422 | − | 0.565375i | ||||
\(849\) | 52.8835 | − | 20.1695i | 1.81496 | − | 0.692216i | ||||
\(850\) | −44.6106 | − | 0.269825i | −1.53013 | − | 0.00925491i | ||||
\(851\) | −5.97743 | − | 5.01566i | −0.204904 | − | 0.171934i | ||||
\(852\) | −11.2637 | + | 2.02332i | −0.385889 | + | 0.0693178i | ||||
\(853\) | −14.8461 | + | 12.4573i | −0.508320 | + | 0.426531i | −0.860538 | − | 0.509387i | \(-0.829872\pi\) |
0.352218 | + | 0.935918i | \(0.385428\pi\) | |||||||
\(854\) | 50.8963 | − | 4.92268i | 1.74163 | − | 0.168451i | ||||
\(855\) | −1.95659 | + | 13.4997i | −0.0669139 | + | 0.461680i | ||||
\(856\) | −0.575168 | + | 31.6948i | −0.0196588 | + | 1.08330i | ||||
\(857\) | 22.0427 | + | 26.2694i | 0.752963 | + | 0.897347i | 0.997381 | − | 0.0723232i | \(-0.0230413\pi\) |
−0.244418 | + | 0.969670i | \(0.578597\pi\) | |||||||
\(858\) | 33.1901 | + | 27.3305i | 1.13309 | + | 0.933049i | ||||
\(859\) | −9.44905 | − | 1.66612i | −0.322397 | − | 0.0568473i | 0.0101075 | − | 0.999949i | \(-0.496783\pi\) |
−0.332505 | + | 0.943102i | \(0.607894\pi\) | |||||||
\(860\) | 6.81526 | + | 41.5869i | 0.232398 | + | 1.41810i | ||||
\(861\) | 20.1604 | − | 30.7469i | 0.687063 | − | 1.04785i | ||||
\(862\) | 9.98156 | − | 11.7505i | 0.339973 | − | 0.400223i | ||||
\(863\) | −15.5598 | − | 26.9504i | −0.529662 | − | 0.917401i | −0.999401 | − | 0.0345958i | \(-0.988986\pi\) |
0.469740 | − | 0.882805i | \(-0.344348\pi\) | |||||||
\(864\) | 22.2184 | − | 19.2443i | 0.755886 | − | 0.654703i | ||||
\(865\) | 6.67498 | − | 11.5614i | 0.226956 | − | 0.393100i | ||||
\(866\) | 24.5020 | + | 4.47333i | 0.832611 | + | 0.152010i | ||||
\(867\) | 26.9729 | − | 16.1280i | 0.916046 | − | 0.547735i | ||||
\(868\) | 18.4306 | − | 39.8471i | 0.625574 | − | 1.35250i | ||||
\(869\) | −4.08636 | + | 4.86994i | −0.138620 | + | 0.165201i | ||||
\(870\) | −35.3712 | − | 29.1266i | −1.19919 | − | 0.987484i | ||||
\(871\) | 42.4932 | + | 50.6414i | 1.43983 | + | 1.71592i | ||||
\(872\) | −16.4754 | + | 9.11757i | −0.557928 | + | 0.308760i | ||||
\(873\) | 21.5662 | + | 7.11011i | 0.729904 | + | 0.240641i | ||||
\(874\) | −0.281631 | − | 1.65571i | −0.00952630 | − | 0.0560051i | ||||
\(875\) | −1.11582 | + | 2.49105i | −0.0377214 | + | 0.0842130i | ||||
\(876\) | −24.0308 | − | 28.4532i | −0.811924 | − | 0.961343i | ||||
\(877\) | −26.3565 | + | 9.59297i | −0.889995 | + | 0.323932i | −0.746236 | − | 0.665681i | \(-0.768141\pi\) |
−0.143758 | + | 0.989613i | \(0.545919\pi\) | |||||||
\(878\) | −46.3667 | − | 0.280446i | −1.56480 | − | 0.00946460i | ||||
\(879\) | −4.63464 | + | 28.8596i | −0.156323 | + | 0.973410i | ||||
\(880\) | 31.7092 | − | 35.9845i | 1.06892 | − | 1.21304i | ||||
\(881\) | 47.7389 | + | 27.5621i | 1.60836 | + | 0.928589i | 0.989736 | + | 0.142905i | \(0.0456443\pi\) |
0.618627 | + | 0.785685i | \(0.287689\pi\) | |||||||
\(882\) | 16.2395 | + | 24.8652i | 0.546814 | + | 0.837254i | ||||
\(883\) | −11.7267 | + | 6.77041i | −0.394635 | + | 0.227843i | −0.684166 | − | 0.729326i | \(-0.739834\pi\) |
0.289532 | + | 0.957168i | \(0.406500\pi\) | |||||||
\(884\) | 0.674496 | − | 55.7558i | 0.0226857 | − | 1.87527i | ||||
\(885\) | −9.42109 | − | 3.26665i | −0.316687 | − | 0.109807i | ||||
\(886\) | −14.6542 | − | 8.57923i | −0.492319 | − | 0.288225i | ||||
\(887\) | 3.40286 | + | 2.85534i | 0.114257 | + | 0.0958730i | 0.698126 | − | 0.715975i | \(-0.254017\pi\) |
−0.583869 | + | 0.811848i | \(0.698462\pi\) | |||||||
\(888\) | 22.6663 | + | 39.5184i | 0.760630 | + | 1.32615i | ||||
\(889\) | 24.7858 | + | 34.2767i | 0.831289 | + | 1.14960i | ||||
\(890\) | −16.4280 | − | 19.8203i | −0.550667 | − | 0.664379i | ||||
\(891\) | 32.2083 | + | 9.53660i | 1.07902 | + | 0.319488i | ||||
\(892\) | 6.48333 | − | 7.53940i | 0.217078 | − | 0.252438i | ||||
\(893\) | −0.725867 | + | 1.99430i | −0.0242902 | + | 0.0667368i | ||||
\(894\) | 6.16432 | − | 17.4366i | 0.206166 | − | 0.583166i | ||||
\(895\) | 8.65400 | + | 23.7767i | 0.289271 | + | 0.794766i | ||||
\(896\) | 27.4620 | − | 11.9096i | 0.917441 | − | 0.397872i | ||||
\(897\) | 6.71213 | − | 1.28971i | 0.224111 | − | 0.0430622i | ||||
\(898\) | −6.79981 | − | 5.77616i | −0.226913 | − | 0.192753i | ||||
\(899\) | −48.3094 | −1.61121 | ||||||||
\(900\) | −4.96135 | + | 31.5389i | −0.165378 | + | 1.05130i | ||||
\(901\) | −25.7475 | −0.857774 | ||||||||
\(902\) | 7.60585 | − | 41.6599i | 0.253247 | − | 1.38712i | ||||
\(903\) | −28.7809 | + | 8.66075i | −0.957767 | + | 0.288212i | ||||
\(904\) | −32.8530 | + | 11.2868i | −1.09268 | + | 0.375393i | ||||
\(905\) | 22.1547 | + | 60.8694i | 0.736446 | + | 2.02337i | ||||
\(906\) | 19.2734 | + | 10.8910i | 0.640315 | + | 0.361829i | ||||
\(907\) | −28.2572 | + | 4.98251i | −0.938266 | + | 0.165442i | −0.621812 | − | 0.783166i | \(-0.713603\pi\) |
−0.316454 | + | 0.948608i | \(0.602492\pi\) | |||||||
\(908\) | 4.12076 | − | 21.8229i | 0.136752 | − | 0.724219i | ||||
\(909\) | 2.77929 | − | 8.43007i | 0.0921833 | − | 0.279608i | ||||
\(910\) | −51.4516 | − | 23.4213i | −1.70560 | − | 0.776410i | ||||
\(911\) | 36.6378 | + | 13.3351i | 1.21386 | + | 0.441810i | 0.868042 | − | 0.496490i | \(-0.165378\pi\) |
0.345821 | + | 0.938300i | \(0.387600\pi\) | |||||||
\(912\) | −1.78854 | + | 9.64110i | −0.0592244 | + | 0.319249i | ||||
\(913\) | 7.67579 | − | 2.79376i | 0.254031 | − | 0.0924599i | ||||
\(914\) | −21.1759 | + | 12.0557i | −0.700435 | + | 0.398767i | ||||
\(915\) | −37.0103 | + | 66.4305i | −1.22352 | + | 2.19612i | ||||
\(916\) | 17.5038 | + | 0.211750i | 0.578343 | + | 0.00699640i | ||||
\(917\) | 8.12590 | − | 11.9888i | 0.268341 | − | 0.395906i | ||||
\(918\) | −16.5187 | − | 40.3103i | −0.545200 | − | 1.33044i | ||||
\(919\) | −3.00168 | + | 1.73302i | −0.0990163 | + | 0.0571671i | −0.548690 | − | 0.836026i | \(-0.684873\pi\) |
0.449674 | + | 0.893193i | \(0.351540\pi\) | |||||||
\(920\) | −1.18754 | − | 7.53155i | −0.0391520 | − | 0.248308i | ||||
\(921\) | −6.99822 | − | 11.7040i | −0.230599 | − | 0.385661i | ||||
\(922\) | −57.6548 | − | 0.348722i | −1.89876 | − | 0.0114845i | ||||
\(923\) | 11.9016 | + | 9.98663i | 0.391746 | + | 0.328714i | ||||
\(924\) | 28.3770 | + | 19.1013i | 0.933535 | + | 0.628386i | ||||
\(925\) | −46.4988 | − | 16.9242i | −1.52887 | − | 0.556463i | ||||
\(926\) | −2.67877 | − | 15.7485i | −0.0880299 | − | 0.517527i | ||||
\(927\) | −15.3197 | − | 38.3929i | −0.503166 | − | 1.26099i | ||||
\(928\) | −24.5799 | − | 21.9251i | −0.806875 | − | 0.719727i | ||||
\(929\) | 17.9787 | − | 49.3961i | 0.589863 | − | 1.62063i | −0.180892 | − | 0.983503i | \(-0.557898\pi\) |
0.770755 | − | 0.637132i | \(-0.219879\pi\) | |||||||
\(930\) | 33.1673 | + | 56.2394i | 1.08760 | + | 1.84416i | ||||
\(931\) | −9.40844 | − | 3.10389i | −0.308349 | − | 0.101726i | ||||
\(932\) | 5.01828 | − | 13.2853i | 0.164379 | − | 0.435175i | ||||
\(933\) | 12.2659 | + | 32.1606i | 0.401567 | + | 1.05289i | ||||
\(934\) | −3.01807 | + | 3.55293i | −0.0987543 | + | 0.116255i | ||||
\(935\) | −35.5415 | − | 61.5596i | −1.16233 | − | 2.01322i | ||||
\(936\) | −39.3823 | − | 6.43951i | −1.28725 | − | 0.210482i | ||||
\(937\) | 5.59448 | + | 9.68993i | 0.182764 | + | 0.316556i | 0.942821 | − | 0.333300i | \(-0.108162\pi\) |
−0.760057 | + | 0.649857i | \(0.774829\pi\) | |||||||
\(938\) | 37.5298 | + | 36.8489i | 1.22539 | + | 1.20316i | ||||
\(939\) | 12.2383 | + | 14.1399i | 0.399382 | + | 0.461439i | ||||
\(940\) | −3.40459 | + | 9.01328i | −0.111046 | + | 0.293981i | ||||
\(941\) | −54.2145 | − | 9.55949i | −1.76734 | − | 0.311630i | −0.807021 | − | 0.590522i | \(-0.798922\pi\) |
−0.960322 | + | 0.278892i | \(0.910033\pi\) | |||||||
\(942\) | 6.10247 | + | 2.15739i | 0.198829 | + | 0.0702917i | ||||
\(943\) | −4.32737 | − | 5.15716i | −0.140919 | − | 0.167940i | ||||
\(944\) | −6.67432 | − | 2.61378i | −0.217231 | − | 0.0850713i | ||||
\(945\) | −44.1515 | − | 1.15550i | −1.43625 | − | 0.0375883i | ||||
\(946\) | −26.6533 | + | 22.0915i | −0.866575 | + | 0.718256i | ||||
\(947\) | 25.5206 | − | 21.4143i | 0.829308 | − | 0.695872i | −0.125824 | − | 0.992053i | \(-0.540157\pi\) |
0.955132 | + | 0.296180i | \(0.0957129\pi\) | |||||||
\(948\) | 1.00599 | − | 5.81407i | 0.0326729 | − | 0.188832i | ||||
\(949\) | −8.77993 | + | 49.7935i | −0.285009 | + | 1.61636i | ||||
\(950\) | −5.26939 | − | 9.25569i | −0.170962 | − | 0.300294i | ||||
\(951\) | −26.3061 | − | 9.12132i | −0.853033 | − | 0.295779i | ||||
\(952\) | −3.73641 | − | 44.2054i | −0.121098 | − | 1.43271i | ||||
\(953\) | −2.98099 | + | 1.72108i | −0.0965638 | + | 0.0557512i | −0.547504 | − | 0.836803i | \(-0.684422\pi\) |
0.450940 | + | 0.892554i | \(0.351089\pi\) | |||||||
\(954\) | −2.75330 | + | 18.2197i | −0.0891412 | + | 0.589884i | ||||
\(955\) | −13.1456 | + | 7.58964i | −0.425383 | + | 0.245595i | ||||
\(956\) | −39.0750 | − | 0.472703i | −1.26377 | − | 0.0152883i | ||||
\(957\) | 5.96826 | − | 37.1640i | 0.192927 | − | 1.20134i | ||||
\(958\) | −18.1943 | + | 10.3583i | −0.587831 | + | 0.334660i | ||||
\(959\) | 12.9708 | + | 3.26501i | 0.418848 | + | 0.105433i | ||||
\(960\) | −8.64853 | + | 43.6676i | −0.279130 | + | 1.40937i | ||||
\(961\) | 35.5564 | + | 12.9415i | 1.14698 | + | 0.417467i | ||||
\(962\) | 21.5047 | − | 57.9898i | 0.693338 | − | 1.86967i | ||||
\(963\) | 15.9127 | − | 29.6190i | 0.512780 | − | 0.954459i | ||||
\(964\) | 40.0707 | + | 34.4578i | 1.29059 | + | 1.10981i | ||||
\(965\) | −1.46776 | + | 4.03263i | −0.0472487 | + | 0.129815i | ||||
\(966\) | 5.21664 | − | 1.53545i | 0.167843 | − | 0.0494022i | ||||
\(967\) | 32.5972 | − | 38.8478i | 1.04825 | − | 1.24926i | 0.0806619 | − | 0.996742i | \(-0.474297\pi\) |
0.967592 | − | 0.252519i | \(-0.0812589\pi\) | |||||||
\(968\) | 8.13373 | + | 1.58688i | 0.261428 | + | 0.0510042i | ||||
\(969\) | 12.6952 | + | 7.07287i | 0.407830 | + | 0.227213i | ||||
\(970\) | −32.3869 | + | 11.5665i | −1.03988 | + | 0.371378i | ||||
\(971\) | 4.59442 | + | 7.95777i | 0.147442 | + | 0.255377i | 0.930281 | − | 0.366847i | \(-0.119563\pi\) |
−0.782839 | + | 0.622224i | \(0.786229\pi\) | |||||||
\(972\) | −30.2912 | + | 7.37858i | −0.971591 | + | 0.236668i | ||||
\(973\) | −0.548933 | + | 0.266205i | −0.0175980 | + | 0.00853413i | ||||
\(974\) | 9.62417 | + | 8.17534i | 0.308378 | + | 0.261955i | ||||
\(975\) | 37.2010 | − | 22.2437i | 1.19139 | − | 0.712369i | ||||
\(976\) | −28.4694 | + | 46.6656i | −0.911282 | + | 1.49373i | ||||
\(977\) | 6.79096 | + | 18.6580i | 0.217262 | + | 0.596923i | 0.999666 | − | 0.0258488i | \(-0.00822883\pi\) |
−0.782404 | + | 0.622772i | \(0.786007\pi\) | |||||||
\(978\) | −49.4700 | − | 8.25175i | −1.58187 | − | 0.263862i | ||||
\(979\) | 7.23293 | − | 19.8723i | 0.231165 | − | 0.635121i | ||||
\(980\) | −42.5392 | − | 14.6068i | −1.35886 | − | 0.466597i | ||||
\(981\) | 19.9629 | − | 0.611047i | 0.637366 | − | 0.0195092i | ||||
\(982\) | 19.6475 | + | 23.7047i | 0.626977 | + | 0.756447i | ||||
\(983\) | 1.12593 | + | 6.38547i | 0.0359116 | + | 0.203665i | 0.997485 | − | 0.0708849i | \(-0.0225823\pi\) |
−0.961573 | + | 0.274550i | \(0.911471\pi\) | |||||||
\(984\) | 13.3381 | + | 36.9732i | 0.425204 | + | 1.17866i | ||||
\(985\) | −62.2778 | + | 22.6673i | −1.98433 | + | 0.722239i | ||||
\(986\) | −42.4224 | + | 24.1517i | −1.35101 | + | 0.769146i | ||||
\(987\) | −6.68866 | − | 1.57526i | −0.212902 | − | 0.0501412i | ||||
\(988\) | 11.6083 | − | 6.51612i | 0.369310 | − | 0.207305i | ||||
\(989\) | 5.50333i | 0.174996i | ||||||||
\(990\) | −47.3620 | + | 18.5673i | −1.50526 | + | 0.590109i | ||||
\(991\) | 56.6873i | 1.80073i | 0.435135 | + | 0.900365i | \(0.356701\pi\) | ||||
−0.435135 | + | 0.900365i | \(0.643299\pi\) | |||||||
\(992\) | 22.2274 | + | 41.3373i | 0.705720 | + | 1.31246i | ||||
\(993\) | 12.7923 | + | 4.43557i | 0.405951 | + | 0.140759i | ||||
\(994\) | 10.1900 | + | 6.99696i | 0.323206 | + | 0.221930i | ||||
\(995\) | −26.1219 | + | 9.50758i | −0.828119 | + | 0.301411i | ||||
\(996\) | −4.85465 | + | 5.82332i | −0.153825 | + | 0.184519i | ||||
\(997\) | −32.2224 | − | 11.7280i | −1.02049 | − | 0.371429i | −0.223040 | − | 0.974809i | \(-0.571598\pi\) |
−0.797454 | + | 0.603380i | \(0.793820\pi\) | |||||||
\(998\) | −8.04326 | − | 47.2863i | −0.254605 | − | 1.49682i | ||||
\(999\) | −2.21711 | − | 48.2699i | −0.0701464 | − | 1.52719i |
(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 | 756.2.ci.a.95.8 | yes | 840 | |
4.3 | odd | 2 | inner | 756.2.ci.a.95.71 | yes | 840 | |
7.2 | even | 3 | 756.2.bs.a.527.87 | yes | 840 | ||
27.2 | odd | 18 | 756.2.bs.a.515.23 | ✓ | 840 | ||
28.23 | odd | 6 | 756.2.bs.a.527.23 | yes | 840 | ||
108.83 | even | 18 | 756.2.bs.a.515.87 | yes | 840 | ||
189.2 | odd | 18 | inner | 756.2.ci.a.191.71 | yes | 840 | |
756.191 | even | 18 | inner | 756.2.ci.a.191.8 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.515.23 | ✓ | 840 | 27.2 | odd | 18 | ||
756.2.bs.a.515.87 | yes | 840 | 108.83 | even | 18 | ||
756.2.bs.a.527.23 | yes | 840 | 28.23 | odd | 6 | ||
756.2.bs.a.527.87 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.95.8 | yes | 840 | 1.1 | even | 1 | trivial | |
756.2.ci.a.95.71 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.ci.a.191.8 | yes | 840 | 756.191 | even | 18 | inner | |
756.2.ci.a.191.71 | yes | 840 | 189.2 | odd | 18 | inner |