Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(4,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 115.9 |
Dual form | 115.2.j.a.64.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.394732 | − | 1.34433i | −0.279117 | − | 0.950587i | −0.973059 | − | 0.230555i | \(-0.925946\pi\) |
0.693942 | − | 0.720031i | \(-0.255872\pi\) | |||||||
\(3\) | −1.97191 | + | 1.70867i | −1.13848 | + | 0.986503i | −0.999993 | − | 0.00386079i | \(-0.998771\pi\) |
−0.138492 | + | 0.990364i | \(0.544226\pi\) | |||||||
\(4\) | 0.0310904 | − | 0.0199806i | 0.0155452 | − | 0.00999030i | ||||
\(5\) | 2.16612 | + | 0.554912i | 0.968718 | + | 0.248164i | ||||
\(6\) | 3.07540 | + | 1.97644i | 1.25553 | + | 0.806878i | ||||
\(7\) | 2.68179 | + | 1.22473i | 1.01362 | + | 0.462906i | 0.851774 | − | 0.523909i | \(-0.175527\pi\) |
0.161849 | + | 0.986816i | \(0.448254\pi\) | |||||||
\(8\) | −2.15687 | − | 1.86894i | −0.762570 | − | 0.660771i | ||||
\(9\) | 0.541936 | − | 3.76925i | 0.180645 | − | 1.25642i | ||||
\(10\) | −0.109049 | − | 3.13103i | −0.0344844 | − | 0.990117i | ||||
\(11\) | 1.52091 | + | 0.446579i | 0.458571 | + | 0.134649i | 0.502856 | − | 0.864370i | \(-0.332283\pi\) |
−0.0442848 | + | 0.999019i | \(0.514101\pi\) | |||||||
\(12\) | −0.0271673 | + | 0.0925233i | −0.00784252 | + | 0.0267092i | ||||
\(13\) | 4.24625 | − | 1.93920i | 1.17770 | − | 0.537837i | 0.272222 | − | 0.962234i | \(-0.412241\pi\) |
0.905476 | + | 0.424398i | \(0.139514\pi\) | |||||||
\(14\) | 0.587861 | − | 4.08866i | 0.157113 | − | 1.09274i | ||||
\(15\) | −5.21956 | + | 2.60695i | −1.34769 | + | 0.673112i | ||||
\(16\) | −1.63039 | + | 3.57005i | −0.407597 | + | 0.892513i | ||||
\(17\) | −0.714176 | + | 1.11128i | −0.173213 | + | 0.269525i | −0.916996 | − | 0.398897i | \(-0.869393\pi\) |
0.743783 | + | 0.668421i | \(0.233030\pi\) | |||||||
\(18\) | −5.28104 | + | 0.759299i | −1.24475 | + | 0.178968i | ||||
\(19\) | −4.70724 | + | 3.02516i | −1.07991 | + | 0.694019i | −0.954538 | − | 0.298091i | \(-0.903650\pi\) |
−0.125376 | + | 0.992109i | \(0.540014\pi\) | |||||||
\(20\) | 0.0784330 | − | 0.0260279i | 0.0175382 | − | 0.00582002i | ||||
\(21\) | −7.38094 | + | 2.16724i | −1.61065 | + | 0.472930i | ||||
\(22\) | − | 2.22088i | − | 0.473494i | ||||||
\(23\) | −4.51845 | + | 1.60736i | −0.942162 | + | 0.335157i | ||||
\(24\) | 7.44658 | 1.52003 | ||||||||
\(25\) | 4.38415 | + | 2.40401i | 0.876829 | + | 0.480802i | ||||
\(26\) | −4.28306 | − | 4.94291i | −0.839976 | − | 0.969384i | ||||
\(27\) | 1.13981 | + | 1.77358i | 0.219357 | + | 0.341326i | ||||
\(28\) | 0.107849 | − | 0.0155063i | 0.0203815 | − | 0.00293042i | ||||
\(29\) | −4.78017 | − | 3.07203i | −0.887655 | − | 0.570461i | 0.0154501 | − | 0.999881i | \(-0.495082\pi\) |
−0.903105 | + | 0.429419i | \(0.858718\pi\) | |||||||
\(30\) | 5.56493 | + | 5.98778i | 1.01601 | + | 1.09321i | ||||
\(31\) | 4.02560 | − | 4.64579i | 0.723020 | − | 0.834409i | −0.268647 | − | 0.963239i | \(-0.586577\pi\) |
0.991667 | + | 0.128829i | \(0.0411220\pi\) | |||||||
\(32\) | −0.206907 | − | 0.0297487i | −0.0365764 | − | 0.00525889i | ||||
\(33\) | −3.76216 | + | 1.71812i | −0.654907 | + | 0.299086i | ||||
\(34\) | 1.77584 | + | 0.521433i | 0.304553 | + | 0.0894249i | ||||
\(35\) | 5.12947 | + | 4.14108i | 0.867038 | + | 0.699970i | ||||
\(36\) | −0.0584628 | − | 0.128016i | −0.00974379 | − | 0.0213359i | ||||
\(37\) | −0.226161 | − | 0.0325170i | −0.0371806 | − | 0.00534577i | 0.123699 | − | 0.992320i | \(-0.460524\pi\) |
−0.160880 | + | 0.986974i | \(0.551433\pi\) | |||||||
\(38\) | 5.92491 | + | 5.13396i | 0.961147 | + | 0.832839i | ||||
\(39\) | −5.05979 | + | 11.0794i | −0.810214 | + | 1.77412i | ||||
\(40\) | −3.63495 | − | 5.24523i | −0.574736 | − | 0.829343i | ||||
\(41\) | −0.944912 | − | 6.57201i | −0.147570 | − | 1.02637i | −0.920181 | − | 0.391494i | \(-0.871958\pi\) |
0.772610 | − | 0.634881i | \(-0.218951\pi\) | |||||||
\(42\) | 5.82698 | + | 9.06696i | 0.899122 | + | 1.39906i | ||||
\(43\) | −4.67889 | + | 4.05429i | −0.713525 | + | 0.618273i | −0.934064 | − | 0.357105i | \(-0.883764\pi\) |
0.220539 | + | 0.975378i | \(0.429218\pi\) | |||||||
\(44\) | 0.0562086 | − | 0.0165043i | 0.00847376 | − | 0.00248812i | ||||
\(45\) | 3.26550 | − | 7.86391i | 0.486792 | − | 1.17228i | ||||
\(46\) | 3.94440 | + | 5.43983i | 0.581570 | + | 0.802059i | ||||
\(47\) | − | 9.26629i | − | 1.35163i | −0.737073 | − | 0.675813i | \(-0.763792\pi\) | ||
0.737073 | − | 0.675813i | \(-0.236208\pi\) | |||||||
\(48\) | −2.88507 | − | 9.82563i | −0.416423 | − | 1.41821i | ||||
\(49\) | 1.10802 | + | 1.27872i | 0.158289 | + | 0.182675i | ||||
\(50\) | 1.50123 | − | 6.84269i | 0.212306 | − | 0.967702i | ||||
\(51\) | −0.490520 | − | 3.41164i | −0.0686865 | − | 0.477725i | ||||
\(52\) | 0.0932714 | − | 0.145133i | 0.0129344 | − | 0.0201263i | ||||
\(53\) | −7.81920 | − | 3.57091i | −1.07405 | − | 0.490502i | −0.201732 | − | 0.979441i | \(-0.564657\pi\) |
−0.872318 | + | 0.488938i | \(0.837384\pi\) | |||||||
\(54\) | 1.93436 | − | 2.23238i | 0.263234 | − | 0.303788i | ||||
\(55\) | 3.04666 | + | 1.81131i | 0.410811 | + | 0.244237i | ||||
\(56\) | −3.49533 | − | 7.65371i | −0.467084 | − | 1.02277i | ||||
\(57\) | 4.11326 | − | 14.0085i | 0.544814 | − | 1.85547i | ||||
\(58\) | −2.24294 | + | 7.63876i | −0.294513 | + | 1.00302i | ||||
\(59\) | 4.84630 | + | 10.6119i | 0.630934 | + | 1.38155i | 0.907293 | + | 0.420499i | \(0.138145\pi\) |
−0.276359 | + | 0.961055i | \(0.589128\pi\) | |||||||
\(60\) | −0.110190 | + | 0.185341i | −0.0142255 | + | 0.0239274i | ||||
\(61\) | −2.17039 | + | 2.50477i | −0.277891 | + | 0.320703i | −0.877488 | − | 0.479599i | \(-0.840782\pi\) |
0.599597 | + | 0.800302i | \(0.295328\pi\) | |||||||
\(62\) | −7.83452 | − | 3.57791i | −0.994986 | − | 0.454395i | ||||
\(63\) | 6.06969 | − | 9.44462i | 0.764709 | − | 1.18991i | ||||
\(64\) | 1.15877 | + | 8.05944i | 0.144847 | + | 1.00743i | ||||
\(65\) | 10.2740 | − | 1.84424i | 1.27433 | − | 0.228750i | ||||
\(66\) | 3.79477 | + | 4.37939i | 0.467103 | + | 0.539066i | ||||
\(67\) | 2.96939 | + | 10.1128i | 0.362769 | + | 1.23548i | 0.915568 | + | 0.402163i | \(0.131741\pi\) |
−0.552799 | + | 0.833315i | \(0.686440\pi\) | |||||||
\(68\) | 0.0488198i | 0.00592027i | ||||||||
\(69\) | 6.16355 | − | 10.8901i | 0.742004 | − | 1.31102i | ||||
\(70\) | 3.54223 | − | 8.53032i | 0.423377 | − | 1.01957i | ||||
\(71\) | −7.18012 | + | 2.10827i | −0.852123 | + | 0.250206i | −0.678495 | − | 0.734605i | \(-0.737367\pi\) |
−0.173628 | + | 0.984811i | \(0.555549\pi\) | |||||||
\(72\) | −8.21339 | + | 7.11694i | −0.967957 | + | 0.838740i | ||||
\(73\) | 0.164990 | + | 0.256729i | 0.0193106 | + | 0.0300479i | 0.850775 | − | 0.525531i | \(-0.176133\pi\) |
−0.831464 | + | 0.555579i | \(0.812497\pi\) | |||||||
\(74\) | 0.0455592 | + | 0.316871i | 0.00529615 | + | 0.0368355i | ||||
\(75\) | −12.7528 | + | 2.75057i | −1.47257 | + | 0.317608i | ||||
\(76\) | −0.0859054 | + | 0.188107i | −0.00985403 | + | 0.0215773i | ||||
\(77\) | 3.53182 | + | 3.06034i | 0.402488 | + | 0.348758i | ||||
\(78\) | 16.8916 | + | 2.42865i | 1.91260 | + | 0.274990i | ||||
\(79\) | −3.42189 | − | 7.49289i | −0.384992 | − | 0.843016i | −0.998574 | − | 0.0533846i | \(-0.982999\pi\) |
0.613582 | − | 0.789631i | \(-0.289728\pi\) | |||||||
\(80\) | −5.51268 | + | 6.82843i | −0.616336 | + | 0.763442i | ||||
\(81\) | 5.68318 | + | 1.66873i | 0.631465 | + | 0.185415i | ||||
\(82\) | −8.46197 | + | 3.86445i | −0.934469 | + | 0.426758i | ||||
\(83\) | 6.71269 | + | 0.965140i | 0.736814 | + | 0.105938i | 0.500497 | − | 0.865738i | \(-0.333151\pi\) |
0.236317 | + | 0.971676i | \(0.424060\pi\) | |||||||
\(84\) | −0.186174 | + | 0.214856i | −0.0203132 | + | 0.0234427i | ||||
\(85\) | −2.16365 | + | 2.01086i | −0.234681 | + | 0.218108i | ||||
\(86\) | 7.29721 | + | 4.68964i | 0.786879 | + | 0.505696i | ||||
\(87\) | 14.6752 | − | 2.10997i | 1.57334 | − | 0.226213i | ||||
\(88\) | −2.44578 | − | 3.80570i | −0.260721 | − | 0.405689i | ||||
\(89\) | 5.15177 | + | 5.94546i | 0.546086 | + | 0.630217i | 0.959967 | − | 0.280114i | \(-0.0903723\pi\) |
−0.413881 | + | 0.910331i | \(0.635827\pi\) | |||||||
\(90\) | −11.8607 | − | 1.28578i | −1.25023 | − | 0.135533i | ||||
\(91\) | 13.7626 | 1.44271 | ||||||||
\(92\) | −0.108365 | + | 0.140255i | −0.0112978 | + | 0.0146226i | ||||
\(93\) | 16.0395i | 1.66322i | ||||||||
\(94\) | −12.4570 | + | 3.65770i | −1.28484 | + | 0.377263i | ||||
\(95\) | −11.8751 | + | 3.94075i | −1.21836 | + | 0.404312i | ||||
\(96\) | 0.458834 | − | 0.294875i | 0.0468295 | − | 0.0300955i | ||||
\(97\) | −5.61695 | + | 0.807595i | −0.570315 | + | 0.0819989i | −0.421438 | − | 0.906857i | \(-0.638475\pi\) |
−0.148876 | + | 0.988856i | \(0.547566\pi\) | |||||||
\(98\) | 1.28166 | − | 1.99430i | 0.129467 | − | 0.201455i | ||||
\(99\) | 2.50750 | − | 5.49066i | 0.252013 | − | 0.551832i | ||||
\(100\) | 0.184338 | − | 0.0128561i | 0.0184338 | − | 0.00128561i | ||||
\(101\) | 0.745671 | − | 5.18625i | 0.0741970 | − | 0.516052i | −0.918500 | − | 0.395420i | \(-0.870599\pi\) |
0.992697 | − | 0.120631i | \(-0.0384919\pi\) | |||||||
\(102\) | −4.39275 | + | 2.00610i | −0.434947 | + | 0.198634i | ||||
\(103\) | 5.25232 | − | 17.8877i | 0.517526 | − | 1.76253i | −0.120706 | − | 0.992688i | \(-0.538516\pi\) |
0.638232 | − | 0.769844i | \(-0.279666\pi\) | |||||||
\(104\) | −12.7829 | − | 3.75339i | −1.25346 | − | 0.368050i | ||||
\(105\) | −17.1906 | + | 0.598726i | −1.67763 | + | 0.0584297i | ||||
\(106\) | −1.71400 | + | 11.9212i | −0.166479 | + | 1.15789i | ||||
\(107\) | −5.85951 | − | 5.07730i | −0.566460 | − | 0.490841i | 0.323904 | − | 0.946090i | \(-0.395005\pi\) |
−0.890364 | + | 0.455249i | \(0.849550\pi\) | |||||||
\(108\) | 0.0708745 | + | 0.0323673i | 0.00681990 | + | 0.00311454i | ||||
\(109\) | 4.92636 | + | 3.16598i | 0.471860 | + | 0.303246i | 0.754874 | − | 0.655870i | \(-0.227698\pi\) |
−0.283014 | + | 0.959116i | \(0.591334\pi\) | |||||||
\(110\) | 1.23240 | − | 4.81070i | 0.117504 | − | 0.458682i | ||||
\(111\) | 0.501531 | − | 0.322314i | 0.0476032 | − | 0.0305927i | ||||
\(112\) | −8.74473 | + | 7.57735i | −0.826299 | + | 0.715992i | ||||
\(113\) | 2.56064 | + | 8.72074i | 0.240885 | + | 0.820378i | 0.987836 | + | 0.155499i | \(0.0496987\pi\) |
−0.746951 | + | 0.664879i | \(0.768483\pi\) | |||||||
\(114\) | −20.4557 | −1.91585 | ||||||||
\(115\) | −10.6794 | + | 0.974385i | −0.995864 | + | 0.0908619i | ||||
\(116\) | −0.209998 | −0.0194979 | ||||||||
\(117\) | −5.00812 | − | 17.0561i | −0.463001 | − | 1.57684i | ||||
\(118\) | 12.3530 | − | 10.7039i | 1.13718 | − | 0.985374i | ||||
\(119\) | −3.27629 | + | 2.10555i | −0.300337 | + | 0.193015i | ||||
\(120\) | 16.1302 | + | 4.13220i | 1.47248 | + | 0.377216i | ||||
\(121\) | −7.14006 | − | 4.58864i | −0.649096 | − | 0.417149i | ||||
\(122\) | 4.22397 | + | 1.92902i | 0.382420 | + | 0.174645i | ||||
\(123\) | 13.0927 | + | 11.3449i | 1.18053 | + | 1.02293i | ||||
\(124\) | 0.0323319 | − | 0.224874i | 0.00290349 | − | 0.0201942i | ||||
\(125\) | 8.16257 | + | 7.64019i | 0.730082 | + | 0.683359i | ||||
\(126\) | −15.0926 | − | 4.43159i | −1.34456 | − | 0.394797i | ||||
\(127\) | 1.78354 | − | 6.07417i | 0.158263 | − | 0.538996i | −0.841736 | − | 0.539889i | \(-0.818466\pi\) |
1.00000 | 0.000893287i | \(0.000284342\pi\) | ||||||||
\(128\) | 9.99687 | − | 4.56542i | 0.883607 | − | 0.403530i | ||||
\(129\) | 2.29893 | − | 15.9894i | 0.202409 | − | 1.40779i | ||||
\(130\) | −6.53473 | − | 13.0837i | −0.573134 | − | 1.14751i | ||||
\(131\) | −1.99588 | + | 4.37037i | −0.174381 | + | 0.381841i | −0.976561 | − | 0.215241i | \(-0.930946\pi\) |
0.802180 | + | 0.597082i | \(0.203673\pi\) | |||||||
\(132\) | −0.0826379 | + | 0.128587i | −0.00719271 | + | 0.0111921i | ||||
\(133\) | −16.3289 | + | 2.34773i | −1.41589 | + | 0.203574i | ||||
\(134\) | 12.4229 | − | 7.98370i | 1.07317 | − | 0.689687i | ||||
\(135\) | 1.48479 | + | 4.47429i | 0.127790 | + | 0.385085i | ||||
\(136\) | 3.61730 | − | 1.06214i | 0.310181 | − | 0.0910774i | ||||
\(137\) | 4.56852i | 0.390315i | 0.980772 | + | 0.195158i | \(0.0625218\pi\) | ||||
−0.980772 | + | 0.195158i | \(0.937478\pi\) | |||||||
\(138\) | −17.0729 | − | 3.98718i | −1.45334 | − | 0.339411i | ||||
\(139\) | −15.2156 | −1.29057 | −0.645284 | − | 0.763943i | \(-0.723261\pi\) | ||||
−0.645284 | + | 0.763943i | \(0.723261\pi\) | |||||||
\(140\) | 0.242218 | + | 0.0262581i | 0.0204712 | + | 0.00221922i | ||||
\(141\) | 15.8331 | + | 18.2723i | 1.33338 | + | 1.53881i | ||||
\(142\) | 5.66844 | + | 8.82026i | 0.475685 | + | 0.740180i | ||||
\(143\) | 7.32416 | − | 1.05306i | 0.612477 | − | 0.0880609i | ||||
\(144\) | 12.5728 | + | 8.08007i | 1.04774 | + | 0.673339i | ||||
\(145\) | −8.64971 | − | 9.30695i | −0.718319 | − | 0.772900i | ||||
\(146\) | 0.280003 | − | 0.323141i | 0.0231732 | − | 0.0267433i | ||||
\(147\) | −4.36984 | − | 0.628289i | −0.360419 | − | 0.0518204i | ||||
\(148\) | −0.00768115 | + | 0.00350786i | −0.000631386 | + | 0.000288345i | ||||
\(149\) | 9.48896 | + | 2.78621i | 0.777366 | + | 0.228255i | 0.646264 | − | 0.763114i | \(-0.276330\pi\) |
0.131101 | + | 0.991369i | \(0.458149\pi\) | |||||||
\(150\) | 8.73162 | + | 16.0583i | 0.712934 | + | 1.31115i | ||||
\(151\) | −7.52665 | − | 16.4811i | −0.612510 | − | 1.34121i | −0.920844 | − | 0.389932i | \(-0.872499\pi\) |
0.308333 | − | 0.951278i | \(-0.400229\pi\) | |||||||
\(152\) | 15.8068 | + | 2.27267i | 1.28210 | + | 0.184338i | ||||
\(153\) | 3.80165 | + | 3.29415i | 0.307345 | + | 0.266316i | ||||
\(154\) | 2.71999 | − | 5.95596i | 0.219183 | − | 0.479945i | ||||
\(155\) | 11.2979 | − | 7.82949i | 0.907473 | − | 0.628880i | ||||
\(156\) | 0.0640619 | + | 0.445560i | 0.00512905 | + | 0.0356734i | ||||
\(157\) | 12.2151 | + | 19.0071i | 0.974873 | + | 1.51693i | 0.851355 | + | 0.524590i | \(0.175781\pi\) |
0.123518 | + | 0.992342i | \(0.460582\pi\) | |||||||
\(158\) | −8.72221 | + | 7.55784i | −0.693902 | + | 0.601269i | ||||
\(159\) | 21.5203 | − | 6.31893i | 1.70667 | − | 0.501124i | ||||
\(160\) | −0.431678 | − | 0.179255i | −0.0341271 | − | 0.0141713i | ||||
\(161\) | −14.0861 | − | 1.22330i | −1.11014 | − | 0.0964095i | ||||
\(162\) | − | 8.29879i | − | 0.652014i | ||||||
\(163\) | −1.81699 | − | 6.18810i | −0.142318 | − | 0.484689i | 0.857225 | − | 0.514943i | \(-0.172187\pi\) |
−0.999542 | + | 0.0302534i | \(0.990369\pi\) | |||||||
\(164\) | −0.160690 | − | 0.185446i | −0.0125478 | − | 0.0144809i | ||||
\(165\) | −9.10268 | + | 1.63398i | −0.708643 | + | 0.127206i | ||||
\(166\) | −1.35224 | − | 9.40506i | −0.104954 | − | 0.729974i | ||||
\(167\) | −5.28392 | + | 8.22194i | −0.408882 | + | 0.636233i | −0.983228 | − | 0.182380i | \(-0.941620\pi\) |
0.574346 | + | 0.818613i | \(0.305256\pi\) | |||||||
\(168\) | 19.9702 | + | 9.12008i | 1.54073 | + | 0.703630i | ||||
\(169\) | 5.75697 | − | 6.64390i | 0.442844 | − | 0.511069i | ||||
\(170\) | 3.55732 | + | 2.11492i | 0.272834 | + | 0.162207i | ||||
\(171\) | 8.85154 | + | 19.3822i | 0.676894 | + | 1.48219i | ||||
\(172\) | −0.0644617 | + | 0.219536i | −0.00491516 | + | 0.0167395i | ||||
\(173\) | −2.53455 | + | 8.63190i | −0.192699 | + | 0.656271i | 0.805290 | + | 0.592881i | \(0.202009\pi\) |
−0.997989 | + | 0.0633903i | \(0.979809\pi\) | |||||||
\(174\) | −8.62926 | − | 18.8954i | −0.654182 | − | 1.43246i | ||||
\(175\) | 8.81310 | + | 11.8165i | 0.666208 | + | 0.893242i | ||||
\(176\) | −4.07398 | + | 4.70162i | −0.307088 | + | 0.354398i | ||||
\(177\) | −27.6888 | − | 12.6450i | −2.08122 | − | 0.950459i | ||||
\(178\) | 5.95910 | − | 9.27255i | 0.446654 | − | 0.695007i | ||||
\(179\) | 1.93200 | + | 13.4374i | 0.144405 | + | 1.00436i | 0.925175 | + | 0.379540i | \(0.123918\pi\) |
−0.780771 | + | 0.624818i | \(0.785173\pi\) | |||||||
\(180\) | −0.0555999 | − | 0.309739i | −0.00414417 | − | 0.0230866i | ||||
\(181\) | −2.05334 | − | 2.36968i | −0.152623 | − | 0.176137i | 0.674289 | − | 0.738468i | \(-0.264450\pi\) |
−0.826912 | + | 0.562331i | \(0.809905\pi\) | |||||||
\(182\) | −5.43252 | − | 18.5015i | −0.402685 | − | 1.37142i | ||||
\(183\) | − | 8.64768i | − | 0.639255i | ||||||
\(184\) | 12.7498 | + | 4.97785i | 0.939927 | + | 0.366972i | ||||
\(185\) | −0.471848 | − | 0.195935i | −0.0346909 | − | 0.0144054i | ||||
\(186\) | 21.5625 | − | 6.33131i | 1.58104 | − | 0.464235i | ||||
\(187\) | −1.58247 | + | 1.37122i | −0.115722 | + | 0.100273i | ||||
\(188\) | −0.185146 | − | 0.288093i | −0.0135032 | − | 0.0210113i | ||||
\(189\) | 0.884575 | + | 6.15235i | 0.0643433 | + | 0.447518i | ||||
\(190\) | 9.98516 | + | 14.4086i | 0.724400 | + | 1.04531i | ||||
\(191\) | 0.574624 | − | 1.25825i | 0.0415783 | − | 0.0910439i | −0.887703 | − | 0.460416i | \(-0.847700\pi\) |
0.929281 | + | 0.369373i | \(0.120427\pi\) | |||||||
\(192\) | −16.0559 | − | 13.9126i | −1.15874 | − | 1.00405i | ||||
\(193\) | 2.60238 | + | 0.374166i | 0.187324 | + | 0.0269331i | 0.235338 | − | 0.971914i | \(-0.424380\pi\) |
−0.0480145 | + | 0.998847i | \(0.515289\pi\) | |||||||
\(194\) | 3.30286 | + | 7.23226i | 0.237132 | + | 0.519246i | ||||
\(195\) | −17.1082 | + | 21.1915i | −1.22514 | + | 1.51756i | ||||
\(196\) | 0.0599985 | + | 0.0176172i | 0.00428561 | + | 0.00125837i | ||||
\(197\) | 12.7168 | − | 5.80756i | 0.906033 | − | 0.413771i | 0.0927834 | − | 0.995686i | \(-0.470424\pi\) |
0.813250 | + | 0.581915i | \(0.197696\pi\) | |||||||
\(198\) | −8.37106 | − | 1.20358i | −0.594905 | − | 0.0855345i | ||||
\(199\) | 8.88720 | − | 10.2564i | 0.629997 | − | 0.727055i | −0.347576 | − | 0.937652i | \(-0.612995\pi\) |
0.977573 | + | 0.210597i | \(0.0675407\pi\) | |||||||
\(200\) | −4.96309 | − | 13.3789i | −0.350943 | − | 0.946028i | ||||
\(201\) | −23.1349 | − | 14.8679i | −1.63181 | − | 1.04870i | ||||
\(202\) | −7.26639 | + | 1.04475i | −0.511261 | + | 0.0735083i | ||||
\(203\) | −9.05701 | − | 14.0930i | −0.635678 | − | 0.989134i | ||||
\(204\) | −0.0834170 | − | 0.0962684i | −0.00584036 | − | 0.00674013i | ||||
\(205\) | 1.60009 | − | 14.7601i | 0.111755 | − | 1.03089i | ||||
\(206\) | −26.1203 | −1.81989 | ||||||||
\(207\) | 3.60982 | + | 17.9022i | 0.250900 | + | 1.24429i | ||||
\(208\) | 18.3210i | 1.27033i | ||||||||
\(209\) | −8.51024 | + | 2.49883i | −0.588666 | + | 0.172848i | ||||
\(210\) | 7.59057 | + | 22.8736i | 0.523799 | + | 1.57843i | ||||
\(211\) | 5.33889 | − | 3.43110i | 0.367545 | − | 0.236207i | −0.343811 | − | 0.939039i | \(-0.611718\pi\) |
0.711356 | + | 0.702832i | \(0.248082\pi\) | |||||||
\(212\) | −0.314451 | + | 0.0452113i | −0.0215966 | + | 0.00310512i | ||||
\(213\) | 10.5562 | − | 16.4258i | 0.723300 | − | 1.12548i | ||||
\(214\) | −4.51264 | + | 9.88130i | −0.308478 | + | 0.675472i | ||||
\(215\) | −12.3848 | + | 6.18569i | −0.844637 | + | 0.421861i | ||||
\(216\) | 0.856291 | − | 5.95564i | 0.0582632 | − | 0.405230i | ||||
\(217\) | 16.4857 | − | 7.52877i | 1.11912 | − | 0.511086i | ||||
\(218\) | 2.31154 | − | 7.87238i | 0.156557 | − | 0.533185i | ||||
\(219\) | −0.764012 | − | 0.224334i | −0.0516272 | − | 0.0151591i | ||||
\(220\) | 0.130913 | − | 0.00455952i | 0.00882614 | − | 0.000307403i | ||||
\(221\) | −0.877579 | + | 6.10370i | −0.0590324 | + | 0.410579i | ||||
\(222\) | −0.631268 | − | 0.546997i | −0.0423679 | − | 0.0367120i | ||||
\(223\) | 8.76703 | + | 4.00377i | 0.587084 | + | 0.268112i | 0.686732 | − | 0.726911i | \(-0.259045\pi\) |
−0.0996485 | + | 0.995023i | \(0.531772\pi\) | |||||||
\(224\) | −0.518448 | − | 0.333186i | −0.0346403 | − | 0.0222619i | ||||
\(225\) | 11.4372 | − | 15.2221i | 0.762482 | − | 1.01481i | ||||
\(226\) | 10.7128 | − | 6.88471i | 0.712606 | − | 0.457964i | ||||
\(227\) | 14.1856 | − | 12.2919i | 0.941530 | − | 0.815841i | −0.0415273 | − | 0.999137i | \(-0.513222\pi\) |
0.983058 | + | 0.183297i | \(0.0586769\pi\) | |||||||
\(228\) | −0.152015 | − | 0.517714i | −0.0100674 | − | 0.0342865i | ||||
\(229\) | −16.6093 | −1.09757 | −0.548786 | − | 0.835963i | \(-0.684910\pi\) | ||||
−0.548786 | + | 0.835963i | \(0.684910\pi\) | |||||||
\(230\) | 5.52541 | + | 13.9721i | 0.364335 | + | 0.921293i | ||||
\(231\) | −12.1936 | −0.802278 | ||||||||
\(232\) | 4.56878 | + | 15.5598i | 0.299955 | + | 1.02155i | ||||
\(233\) | 10.2086 | − | 8.84581i | 0.668789 | − | 0.579509i | −0.252875 | − | 0.967499i | \(-0.581376\pi\) |
0.921663 | + | 0.387990i | \(0.126831\pi\) | |||||||
\(234\) | −20.9522 | + | 13.4652i | −1.36969 | + | 0.880245i | ||||
\(235\) | 5.14198 | − | 20.0719i | 0.335425 | − | 1.30935i | ||||
\(236\) | 0.362706 | + | 0.233097i | 0.0236101 | + | 0.0151733i | ||||
\(237\) | 19.5506 | + | 8.92844i | 1.26995 | + | 0.579965i | ||||
\(238\) | 4.12381 | + | 3.57330i | 0.267307 | + | 0.231623i | ||||
\(239\) | −0.556606 | + | 3.87128i | −0.0360038 | + | 0.250412i | −0.999873 | − | 0.0159656i | \(-0.994918\pi\) |
0.963869 | + | 0.266378i | \(0.0858269\pi\) | |||||||
\(240\) | −0.797034 | − | 22.8844i | −0.0514483 | − | 1.47718i | ||||
\(241\) | 9.35355 | + | 2.74645i | 0.602515 | + | 0.176914i | 0.568743 | − | 0.822515i | \(-0.307430\pi\) |
0.0337718 | + | 0.999430i | \(0.489248\pi\) | |||||||
\(242\) | −3.35025 | + | 11.4099i | −0.215362 | + | 0.733456i | ||||
\(243\) | −19.8113 | + | 9.04751i | −1.27089 | + | 0.580398i | ||||
\(244\) | −0.0174317 | + | 0.121240i | −0.00111595 | + | 0.00776160i | ||||
\(245\) | 1.69053 | + | 3.38472i | 0.108004 | + | 0.216242i | ||||
\(246\) | 10.0832 | − | 22.0791i | 0.642881 | − | 1.40771i | ||||
\(247\) | −14.1217 | + | 21.9738i | −0.898544 | + | 1.39816i | ||||
\(248\) | −17.3654 | + | 2.49677i | −1.10271 | + | 0.158545i | ||||
\(249\) | −14.8860 | + | 9.56662i | −0.943359 | + | 0.606260i | ||||
\(250\) | 7.04893 | − | 13.9890i | 0.445814 | − | 0.884744i | ||||
\(251\) | 16.5033 | − | 4.84581i | 1.04168 | − | 0.305865i | 0.284228 | − | 0.958757i | \(-0.408263\pi\) |
0.757451 | + | 0.652892i | \(0.226444\pi\) | |||||||
\(252\) | − | 0.414913i | − | 0.0261371i | ||||||
\(253\) | −7.58996 | + | 0.426798i | −0.477177 | + | 0.0268326i | ||||
\(254\) | −8.86973 | −0.556536 | ||||||||
\(255\) | 0.830636 | − | 7.66221i | 0.0520164 | − | 0.479826i | ||||
\(256\) | 0.580645 | + | 0.670100i | 0.0362903 | + | 0.0418812i | ||||
\(257\) | 4.80672 | + | 7.47940i | 0.299835 | + | 0.466552i | 0.958181 | − | 0.286163i | \(-0.0923800\pi\) |
−0.658346 | + | 0.752715i | \(0.728744\pi\) | |||||||
\(258\) | −22.4025 | + | 3.22100i | −1.39472 | + | 0.200531i | ||||
\(259\) | −0.566693 | − | 0.364191i | −0.0352126 | − | 0.0226297i | ||||
\(260\) | 0.282573 | − | 0.262618i | 0.0175244 | − | 0.0162869i | ||||
\(261\) | −14.1698 | + | 16.3528i | −0.877087 | + | 1.01221i | ||||
\(262\) | 6.66307 | + | 0.958004i | 0.411646 | + | 0.0591857i | ||||
\(263\) | −2.35945 | + | 1.07753i | −0.145490 | + | 0.0664431i | −0.486830 | − | 0.873497i | \(-0.661847\pi\) |
0.341339 | + | 0.939940i | \(0.389119\pi\) | |||||||
\(264\) | 11.3256 | + | 3.32548i | 0.697040 | + | 0.204669i | ||||
\(265\) | −14.9558 | − | 12.0740i | −0.918727 | − | 0.741699i | ||||
\(266\) | 9.60165 | + | 21.0247i | 0.588715 | + | 1.28911i | ||||
\(267\) | −20.3177 | − | 2.92124i | −1.24342 | − | 0.178777i | ||||
\(268\) | 0.294380 | + | 0.255081i | 0.0179821 | + | 0.0155816i | ||||
\(269\) | −1.13907 | + | 2.49422i | −0.0694504 | + | 0.152075i | −0.941174 | − | 0.337924i | \(-0.890275\pi\) |
0.871723 | + | 0.489999i | \(0.163003\pi\) | |||||||
\(270\) | 5.42884 | − | 3.76219i | 0.330389 | − | 0.228960i | ||||
\(271\) | 1.97254 | + | 13.7193i | 0.119823 | + | 0.833390i | 0.957749 | + | 0.287606i | \(0.0928593\pi\) |
−0.837925 | + | 0.545785i | \(0.816232\pi\) | |||||||
\(272\) | −2.80294 | − | 4.36146i | −0.169953 | − | 0.264452i | ||||
\(273\) | −27.1386 | + | 23.5157i | −1.64250 | + | 1.42324i | ||||
\(274\) | 6.14161 | − | 1.80334i | 0.371028 | − | 0.108944i | ||||
\(275\) | 5.59430 | + | 5.61415i | 0.337349 | + | 0.338546i | ||||
\(276\) | −0.0259640 | − | 0.461730i | −0.00156285 | − | 0.0277929i | ||||
\(277\) | − | 2.92978i | − | 0.176033i | −0.996119 | − | 0.0880167i | \(-0.971947\pi\) | ||
0.996119 | − | 0.0880167i | \(-0.0280529\pi\) | |||||||
\(278\) | 6.00607 | + | 20.4548i | 0.360220 | + | 1.22680i | ||||
\(279\) | −15.3295 | − | 17.6912i | −0.917754 | − | 1.05915i | ||||
\(280\) | −3.32417 | − | 18.5185i | −0.198657 | − | 1.10669i | ||||
\(281\) | 3.47962 | + | 24.2013i | 0.207577 | + | 1.44373i | 0.781032 | + | 0.624491i | \(0.214694\pi\) |
−0.573455 | + | 0.819237i | \(0.694397\pi\) | |||||||
\(282\) | 18.3143 | − | 28.4975i | 1.09060 | − | 1.69700i | ||||
\(283\) | −18.1109 | − | 8.27096i | −1.07658 | − | 0.491657i | −0.203420 | − | 0.979092i | \(-0.565206\pi\) |
−0.873160 | + | 0.487434i | \(0.837933\pi\) | |||||||
\(284\) | −0.181108 | + | 0.209010i | −0.0107468 | + | 0.0124025i | ||||
\(285\) | 16.6833 | − | 28.0615i | 0.988232 | − | 1.66222i | ||||
\(286\) | −4.30673 | − | 9.43043i | −0.254663 | − | 0.557633i | ||||
\(287\) | 5.51490 | − | 18.7820i | 0.325534 | − | 1.10867i | ||||
\(288\) | −0.224261 | + | 0.763762i | −0.0132147 | + | 0.0450051i | ||||
\(289\) | 6.33716 | + | 13.8764i | 0.372774 | + | 0.816262i | ||||
\(290\) | −9.09732 | + | 15.3018i | −0.534213 | + | 0.898555i | ||||
\(291\) | 9.69622 | − | 11.1900i | 0.568402 | − | 0.655971i | ||||
\(292\) | 0.0102592 | + | 0.00468522i | 0.000600375 | + | 0.000274182i | ||||
\(293\) | −6.06437 | + | 9.43634i | −0.354284 | + | 0.551277i | −0.971957 | − | 0.235158i | \(-0.924439\pi\) |
0.617673 | + | 0.786435i | \(0.288076\pi\) | |||||||
\(294\) | 0.880287 | + | 6.12253i | 0.0513394 | + | 0.357073i | ||||
\(295\) | 4.60898 | + | 25.6759i | 0.268345 | + | 1.49491i | ||||
\(296\) | 0.427028 | + | 0.492817i | 0.0248205 | + | 0.0286444i | ||||
\(297\) | 0.941505 | + | 3.20647i | 0.0546317 | + | 0.186058i | ||||
\(298\) | − | 13.8561i | − | 0.802663i | ||||||
\(299\) | −16.0695 | + | 15.5874i | −0.929323 | + | 0.901443i | ||||
\(300\) | −0.341533 | + | 0.340325i | −0.0197184 | + | 0.0196487i | ||||
\(301\) | −17.5133 | + | 5.14236i | −1.00945 | + | 0.296400i | ||||
\(302\) | −19.1850 | + | 16.6239i | −1.10397 | + | 0.956599i | ||||
\(303\) | 7.39121 | + | 11.5010i | 0.424614 | + | 0.660713i | ||||
\(304\) | −3.12534 | − | 21.7372i | −0.179251 | − | 1.24672i | ||||
\(305\) | −6.09126 | + | 4.22125i | −0.348785 | + | 0.241708i | ||||
\(306\) | 2.92780 | − | 6.41098i | 0.167371 | − | 0.366491i | ||||
\(307\) | −5.74551 | − | 4.97852i | −0.327914 | − | 0.284139i | 0.475307 | − | 0.879820i | \(-0.342337\pi\) |
−0.803221 | + | 0.595681i | \(0.796882\pi\) | |||||||
\(308\) | 0.170953 | + | 0.0245794i | 0.00974096 | + | 0.00140054i | ||||
\(309\) | 20.2072 | + | 44.2476i | 1.14955 | + | 2.51716i | ||||
\(310\) | −14.9851 | − | 12.0976i | −0.851096 | − | 0.687100i | ||||
\(311\) | 16.5580 | + | 4.86186i | 0.938916 | + | 0.275691i | 0.715165 | − | 0.698956i | \(-0.246351\pi\) |
0.223751 | + | 0.974646i | \(0.428170\pi\) | |||||||
\(312\) | 31.6200 | − | 14.4404i | 1.79013 | − | 0.817526i | ||||
\(313\) | 2.68453 | + | 0.385977i | 0.151738 | + | 0.0218167i | 0.217765 | − | 0.976001i | \(-0.430123\pi\) |
−0.0660270 | + | 0.997818i | \(0.521032\pi\) | |||||||
\(314\) | 20.7302 | − | 23.9239i | 1.16987 | − | 1.35010i | ||||
\(315\) | 18.3886 | − | 17.0900i | 1.03608 | − | 0.962914i | ||||
\(316\) | −0.256100 | − | 0.164586i | −0.0144068 | − | 0.00925867i | ||||
\(317\) | 2.90177 | − | 0.417211i | 0.162980 | − | 0.0234329i | −0.0603419 | − | 0.998178i | \(-0.519219\pi\) |
0.223322 | + | 0.974745i | \(0.428310\pi\) | |||||||
\(318\) | −16.9895 | − | 26.4362i | −0.952724 | − | 1.48247i | ||||
\(319\) | −5.89829 | − | 6.80699i | −0.330241 | − | 0.381118i | ||||
\(320\) | −1.96224 | + | 18.1007i | −0.109693 | + | 1.01186i | ||||
\(321\) | 20.2299 | 1.12912 | ||||||||
\(322\) | 3.91572 | + | 19.4193i | 0.218215 | + | 1.08220i | ||||
\(323\) | − | 7.39154i | − | 0.411277i | ||||||
\(324\) | 0.210035 | − | 0.0616717i | 0.0116686 | − | 0.00342621i | ||||
\(325\) | 23.2780 | + | 1.70631i | 1.29123 | + | 0.0946492i | ||||
\(326\) | −7.60164 | + | 4.88528i | −0.421016 | + | 0.270570i | ||||
\(327\) | −15.1240 | + | 2.17450i | −0.836358 | + | 0.120250i | ||||
\(328\) | −10.2446 | + | 15.9410i | −0.565666 | + | 0.880193i | ||||
\(329\) | 11.3487 | − | 24.8503i | 0.625676 | − | 1.37004i | ||||
\(330\) | 5.78974 | + | 11.5920i | 0.318714 | + | 0.638121i | ||||
\(331\) | −1.19997 | + | 8.34600i | −0.0659565 | + | 0.458738i | 0.929901 | + | 0.367810i | \(0.119892\pi\) |
−0.995857 | + | 0.0909277i | \(0.971017\pi\) | |||||||
\(332\) | 0.227984 | − | 0.104117i | 0.0125123 | − | 0.00571416i | ||||
\(333\) | −0.245129 | + | 0.834834i | −0.0134330 | + | 0.0457486i | ||||
\(334\) | 13.1388 | + | 3.85789i | 0.718921 | + | 0.211094i | ||||
\(335\) | 0.820330 | + | 23.5533i | 0.0448194 | + | 1.28686i | ||||
\(336\) | 4.29664 | − | 29.8838i | 0.234401 | − | 1.63029i | ||||
\(337\) | 2.58459 | + | 2.23956i | 0.140792 | + | 0.121997i | 0.722410 | − | 0.691465i | \(-0.243035\pi\) |
−0.581618 | + | 0.813462i | \(0.697580\pi\) | |||||||
\(338\) | −11.2041 | − | 5.11672i | −0.609421 | − | 0.278313i | ||||
\(339\) | −19.9503 | − | 12.8213i | −1.08355 | − | 0.696355i | ||||
\(340\) | −0.0270907 | + | 0.105749i | −0.00146920 | + | 0.00573507i | ||||
\(341\) | 8.19728 | − | 5.26808i | 0.443908 | − | 0.285282i | ||||
\(342\) | 22.5621 | − | 19.5502i | 1.22002 | − | 1.05715i | ||||
\(343\) | −4.40888 | − | 15.0153i | −0.238057 | − | 0.810748i | ||||
\(344\) | 17.6690 | 0.952649 | ||||||||
\(345\) | 19.3940 | − | 20.1691i | 1.04414 | − | 1.08587i | ||||
\(346\) | 12.6046 | 0.677628 | ||||||||
\(347\) | −2.04586 | − | 6.96754i | −0.109827 | − | 0.374037i | 0.886177 | − | 0.463348i | \(-0.153352\pi\) |
−0.996004 | + | 0.0893103i | \(0.971534\pi\) | |||||||
\(348\) | 0.414099 | − | 0.358818i | 0.0221980 | − | 0.0192347i | ||||
\(349\) | 29.2341 | − | 18.7876i | 1.56487 | − | 1.00568i | 0.583825 | − | 0.811879i | \(-0.301555\pi\) |
0.981041 | − | 0.193799i | \(-0.0620810\pi\) | |||||||
\(350\) | 12.4065 | − | 16.5121i | 0.663153 | − | 0.882607i | ||||
\(351\) | 8.27926 | + | 5.32076i | 0.441914 | + | 0.284001i | ||||
\(352\) | −0.301401 | − | 0.137645i | −0.0160648 | − | 0.00733653i | ||||
\(353\) | 18.0897 | + | 15.6748i | 0.962815 | + | 0.834284i | 0.986220 | − | 0.165442i | \(-0.0529050\pi\) |
−0.0234042 | + | 0.999726i | \(0.507450\pi\) | |||||||
\(354\) | −6.06950 | + | 42.2143i | −0.322590 | + | 2.24367i | ||||
\(355\) | −16.7229 | + | 0.582436i | −0.887559 | + | 0.0309125i | ||||
\(356\) | 0.278964 | + | 0.0819113i | 0.0147851 | + | 0.00434129i | ||||
\(357\) | 2.86288 | − | 9.75007i | 0.151520 | − | 0.516028i | ||||
\(358\) | 17.3017 | − | 7.90142i | 0.914423 | − | 0.417603i | ||||
\(359\) | 1.74258 | − | 12.1199i | 0.0919697 | − | 0.639663i | −0.890740 | − | 0.454512i | \(-0.849814\pi\) |
0.982710 | − | 0.185151i | \(-0.0592773\pi\) | |||||||
\(360\) | −21.7405 | + | 10.8584i | −1.14582 | + | 0.572290i | ||||
\(361\) | 5.11361 | − | 11.1972i | 0.269137 | − | 0.589328i | ||||
\(362\) | −2.37512 | + | 3.69575i | −0.124833 | + | 0.194244i | ||||
\(363\) | 21.9201 | − | 3.15163i | 1.15051 | − | 0.165418i | ||||
\(364\) | 0.427884 | − | 0.274984i | 0.0224272 | − | 0.0144131i | ||||
\(365\) | 0.214926 | + | 0.647661i | 0.0112497 | + | 0.0339001i | ||||
\(366\) | −11.6254 | + | 3.41351i | −0.607667 | + | 0.178427i | ||||
\(367\) | 0.210443i | 0.0109850i | 0.999985 | + | 0.00549251i | \(0.00174833\pi\) | ||||
−0.999985 | + | 0.00549251i | \(0.998252\pi\) | |||||||
\(368\) | 1.62848 | − | 18.7517i | 0.0848903 | − | 0.977501i | ||||
\(369\) | −25.2836 | −1.31621 | ||||||||
\(370\) | −0.0771490 | + | 0.711662i | −0.00401078 | + | 0.0369975i | ||||
\(371\) | −16.5961 | − | 19.1529i | −0.861626 | − | 0.994369i | ||||
\(372\) | 0.320480 | + | 0.498676i | 0.0166161 | + | 0.0258551i | ||||
\(373\) | −11.2723 | + | 1.62071i | −0.583655 | + | 0.0839170i | −0.427817 | − | 0.903866i | \(-0.640717\pi\) |
−0.155839 | + | 0.987783i | \(0.549808\pi\) | |||||||
\(374\) | 2.46802 | + | 1.58610i | 0.127618 | + | 0.0820154i | ||||
\(375\) | −29.1505 | − | 1.11864i | −1.50532 | − | 0.0577664i | ||||
\(376\) | −17.3182 | + | 19.9862i | −0.893115 | + | 1.03071i | ||||
\(377\) | −26.2551 | − | 3.77491i | −1.35220 | − | 0.194418i | ||||
\(378\) | 7.92164 | − | 3.61769i | 0.407445 | − | 0.186074i | ||||
\(379\) | 8.35975 | + | 2.45465i | 0.429412 | + | 0.126087i | 0.489294 | − | 0.872119i | \(-0.337254\pi\) |
−0.0598825 | + | 0.998205i | \(0.519073\pi\) | |||||||
\(380\) | −0.290464 | + | 0.359792i | −0.0149005 | + | 0.0184569i | ||||
\(381\) | 6.86179 | + | 15.0252i | 0.351540 | + | 0.769766i | ||||
\(382\) | −1.91833 | − | 0.275814i | −0.0981503 | − | 0.0141119i | ||||
\(383\) | 6.13203 | + | 5.31344i | 0.313332 | + | 0.271504i | 0.797302 | − | 0.603581i | \(-0.206260\pi\) |
−0.483969 | + | 0.875085i | \(0.660805\pi\) | |||||||
\(384\) | −11.9122 | + | 26.0840i | −0.607890 | + | 1.33109i | ||||
\(385\) | 5.95213 | + | 8.58891i | 0.303348 | + | 0.437732i | ||||
\(386\) | −0.524239 | − | 3.64616i | −0.0266831 | − | 0.185585i | ||||
\(387\) | 12.7459 | + | 19.8331i | 0.647912 | + | 1.00817i | ||||
\(388\) | −0.158497 | + | 0.137338i | −0.00804646 | + | 0.00697230i | ||||
\(389\) | −29.3900 | + | 8.62967i | −1.49013 | + | 0.437542i | −0.922583 | − | 0.385799i | \(-0.873926\pi\) |
−0.567548 | + | 0.823341i | \(0.692108\pi\) | |||||||
\(390\) | 35.2416 | + | 14.6341i | 1.78453 | + | 0.741027i | ||||
\(391\) | 1.44074 | − | 6.16920i | 0.0728616 | − | 0.311990i | ||||
\(392\) | − | 4.82887i | − | 0.243895i | ||||||
\(393\) | −3.53183 | − | 12.0283i | −0.178157 | − | 0.606747i | ||||
\(394\) | −12.8270 | − | 14.8032i | −0.646215 | − | 0.745772i | ||||
\(395\) | −3.25432 | − | 18.1293i | −0.163743 | − | 0.912186i | ||||
\(396\) | −0.0317474 | − | 0.220808i | −0.00159537 | − | 0.0110960i | ||||
\(397\) | −14.0670 | + | 21.8887i | −0.706004 | + | 1.09856i | 0.284177 | + | 0.958772i | \(0.408280\pi\) |
−0.990181 | + | 0.139792i | \(0.955357\pi\) | |||||||
\(398\) | −17.2960 | − | 7.89883i | −0.866972 | − | 0.395933i | ||||
\(399\) | 28.1876 | − | 32.5302i | 1.41114 | − | 1.62855i | ||||
\(400\) | −15.7303 | + | 11.7321i | −0.786515 | + | 0.586607i | ||||
\(401\) | −13.4921 | − | 29.5435i | −0.673762 | − | 1.47533i | −0.869120 | − | 0.494601i | \(-0.835314\pi\) |
0.195358 | − | 0.980732i | \(-0.437413\pi\) | |||||||
\(402\) | −10.8553 | + | 36.9698i | −0.541414 | + | 1.84389i | ||||
\(403\) | 8.08461 | − | 27.5336i | 0.402723 | − | 1.37155i | ||||
\(404\) | −0.0804412 | − | 0.176142i | −0.00400210 | − | 0.00876338i | ||||
\(405\) | 11.3844 | + | 6.76834i | 0.565698 | + | 0.336321i | ||||
\(406\) | −15.3706 | + | 17.7386i | −0.762828 | + | 0.880351i | ||||
\(407\) | −0.329449 | − | 0.150454i | −0.0163302 | − | 0.00745774i | ||||
\(408\) | −5.31816 | + | 8.27523i | −0.263288 | + | 0.409685i | ||||
\(409\) | −2.99322 | − | 20.8183i | −0.148005 | − | 1.02940i | −0.919479 | − | 0.393138i | \(-0.871389\pi\) |
0.771474 | − | 0.636261i | \(-0.219520\pi\) | |||||||
\(410\) | −20.4741 | + | 3.67522i | −1.01114 | + | 0.181506i | ||||
\(411\) | −7.80611 | − | 9.00873i | −0.385047 | − | 0.444368i | ||||
\(412\) | −0.194111 | − | 0.661082i | −0.00956317 | − | 0.0325692i | ||||
\(413\) | 34.3944i | 1.69244i | ||||||||
\(414\) | 22.6417 | − | 11.9194i | 1.11278 | − | 0.585805i | ||||
\(415\) | 14.0049 | + | 5.81556i | 0.687475 | + | 0.285475i | ||||
\(416\) | −0.936268 | + | 0.274913i | −0.0459043 | + | 0.0134787i | ||||
\(417\) | 30.0038 | − | 25.9984i | 1.46929 | − | 1.27315i | ||||
\(418\) | 6.71852 | + | 10.4542i | 0.328614 | + | 0.511333i | ||||
\(419\) | 1.82939 | + | 12.7237i | 0.0893716 | + | 0.621593i | 0.984447 | + | 0.175679i | \(0.0562122\pi\) |
−0.895076 | + | 0.445914i | \(0.852879\pi\) | |||||||
\(420\) | −0.522500 | + | 0.362093i | −0.0254954 | + | 0.0176683i | ||||
\(421\) | −10.5373 | + | 23.0735i | −0.513558 | + | 1.12453i | 0.458264 | + | 0.888816i | \(0.348471\pi\) |
−0.971821 | + | 0.235718i | \(0.924256\pi\) | |||||||
\(422\) | −6.71997 | − | 5.82288i | −0.327123 | − | 0.283454i | ||||
\(423\) | −34.9269 | − | 5.02173i | −1.69820 | − | 0.244165i | ||||
\(424\) | 10.1912 | + | 22.3156i | 0.494929 | + | 1.08374i | ||||
\(425\) | −5.80258 | + | 3.15512i | −0.281466 | + | 0.153046i | ||||
\(426\) | −26.2486 | − | 7.70729i | −1.27175 | − | 0.373419i | ||||
\(427\) | −8.88823 | + | 4.05912i | −0.430132 | + | 0.196435i | ||||
\(428\) | −0.283622 | − | 0.0407787i | −0.0137094 | − | 0.00197111i | ||||
\(429\) | −12.6433 | + | 14.5911i | −0.610424 | + | 0.704466i | ||||
\(430\) | 13.2043 | + | 14.2076i | 0.636768 | + | 0.685152i | ||||
\(431\) | 16.3004 | + | 10.4756i | 0.785163 | + | 0.504594i | 0.870743 | − | 0.491738i | \(-0.163638\pi\) |
−0.0855803 | + | 0.996331i | \(0.527274\pi\) | |||||||
\(432\) | −8.19012 | + | 1.17756i | −0.394047 | + | 0.0566554i | ||||
\(433\) | 4.18197 | + | 6.50727i | 0.200973 | + | 0.312720i | 0.927081 | − | 0.374860i | \(-0.122309\pi\) |
−0.726109 | + | 0.687580i | \(0.758673\pi\) | |||||||
\(434\) | −16.6286 | − | 19.1904i | −0.798198 | − | 0.921170i | ||||
\(435\) | 32.9590 | + | 3.57298i | 1.58026 | + | 0.171311i | ||||
\(436\) | 0.216421 | 0.0103647 | ||||||||
\(437\) | 16.4069 | − | 21.2352i | 0.784849 | − | 1.01582i | ||||
\(438\) | 1.11564i | 0.0533073i | ||||||||
\(439\) | 23.5703 | − | 6.92087i | 1.12495 | − | 0.330315i | 0.334229 | − | 0.942492i | \(-0.391524\pi\) |
0.790721 | + | 0.612177i | \(0.209706\pi\) | |||||||
\(440\) | −3.18601 | − | 9.60080i | −0.151887 | − | 0.457700i | ||||
\(441\) | 5.42030 | − | 3.48342i | 0.258110 | − | 0.165877i | ||||
\(442\) | 8.55181 | − | 1.22956i | 0.406768 | − | 0.0584844i | ||||
\(443\) | 14.9111 | − | 23.2021i | 0.708446 | − | 1.10236i | −0.281313 | − | 0.959616i | \(-0.590770\pi\) |
0.989759 | − | 0.142748i | \(-0.0455937\pi\) | |||||||
\(444\) | 0.00915277 | − | 0.0200418i | 0.000434371 | − | 0.000951140i | ||||
\(445\) | 7.86014 | + | 15.7373i | 0.372606 | + | 0.746022i | ||||
\(446\) | 1.92177 | − | 13.3662i | 0.0909985 | − | 0.632909i | ||||
\(447\) | −23.4721 | + | 10.7194i | −1.11019 | + | 0.507008i | ||||
\(448\) | −6.76308 | + | 23.0329i | −0.319526 | + | 1.08820i | ||||
\(449\) | −29.4956 | − | 8.66069i | −1.39198 | − | 0.408723i | −0.502059 | − | 0.864833i | \(-0.667424\pi\) |
−0.889923 | + | 0.456110i | \(0.849242\pi\) | |||||||
\(450\) | −24.9782 | − | 9.36680i | −1.17748 | − | 0.441555i | ||||
\(451\) | 1.49780 | − | 10.4174i | 0.0705284 | − | 0.490536i | ||||
\(452\) | 0.253857 | + | 0.219968i | 0.0119404 | + | 0.0103464i | ||||
\(453\) | 43.0027 | + | 19.6387i | 2.02044 | + | 0.922705i | ||||
\(454\) | −22.1239 | − | 14.2181i | −1.03832 | − | 0.667291i | ||||
\(455\) | 29.8114 | + | 7.63702i | 1.39758 | + | 0.358029i | ||||
\(456\) | −35.0528 | + | 22.5271i | −1.64150 | + | 1.05493i | ||||
\(457\) | −6.82146 | + | 5.91082i | −0.319094 | + | 0.276497i | −0.799649 | − | 0.600468i | \(-0.794981\pi\) |
0.480554 | + | 0.876965i | \(0.340435\pi\) | |||||||
\(458\) | 6.55621 | + | 22.3284i | 0.306352 | + | 1.04334i | ||||
\(459\) | −2.78497 | −0.129991 | ||||||||
\(460\) | −0.312560 | + | 0.243676i | −0.0145732 | + | 0.0113614i | ||||
\(461\) | 30.1893 | 1.40606 | 0.703028 | − | 0.711162i | \(-0.251831\pi\) | ||||
0.703028 | + | 0.711162i | \(0.251831\pi\) | |||||||
\(462\) | 4.81319 | + | 16.3922i | 0.223930 | + | 0.762635i | ||||
\(463\) | −21.9850 | + | 19.0501i | −1.02173 | + | 0.885332i | −0.993450 | − | 0.114268i | \(-0.963548\pi\) |
−0.0282782 | + | 0.999600i | \(0.509002\pi\) | |||||||
\(464\) | 18.7608 | − | 12.0568i | 0.870949 | − | 0.559725i | ||||
\(465\) | −8.90054 | + | 34.7436i | −0.412753 | + | 1.61119i | ||||
\(466\) | −15.9214 | − | 10.2320i | −0.737544 | − | 0.473990i | ||||
\(467\) | 19.4254 | + | 8.87127i | 0.898899 | + | 0.410513i | 0.810613 | − | 0.585582i | \(-0.199134\pi\) |
0.0882857 | + | 0.996095i | \(0.471861\pi\) | |||||||
\(468\) | −0.496495 | − | 0.430215i | −0.0229505 | − | 0.0198867i | ||||
\(469\) | −4.42222 | + | 30.7572i | −0.204199 | + | 1.42024i | ||||
\(470\) | −29.0130 | + | 1.01048i | −1.33827 | + | 0.0466101i | ||||
\(471\) | −56.5641 | − | 16.6087i | −2.60634 | − | 0.765289i | ||||
\(472\) | 9.38020 | − | 31.9460i | 0.431758 | − | 1.47043i | ||||
\(473\) | −8.92673 | + | 4.07670i | −0.410451 | + | 0.187447i | ||||
\(474\) | 4.28557 | − | 29.8068i | 0.196843 | − | 1.36907i | ||||
\(475\) | −27.9097 | + | 1.94648i | −1.28059 | + | 0.0893105i | ||||
\(476\) | −0.0597912 | + | 0.130925i | −0.00274053 | + | 0.00600092i | ||||
\(477\) | −17.6971 | + | 27.5373i | −0.810297 | + | 1.26085i | ||||
\(478\) | 5.42400 | − | 0.779853i | 0.248088 | − | 0.0356696i | ||||
\(479\) | 21.8930 | − | 14.0698i | 1.00032 | − | 0.642865i | 0.0654482 | − | 0.997856i | \(-0.479152\pi\) |
0.934870 | + | 0.354991i | \(0.115516\pi\) | |||||||
\(480\) | 1.15752 | − | 0.384121i | 0.0528332 | − | 0.0175326i | ||||
\(481\) | −1.02339 | + | 0.300495i | −0.0466627 | + | 0.0137014i | ||||
\(482\) | − | 13.6584i | − | 0.622123i | ||||||
\(483\) | 29.8669 | − | 21.6564i | 1.35899 | − | 0.985399i | ||||
\(484\) | −0.313671 | −0.0142578 | ||||||||
\(485\) | −12.6151 | − | 1.36756i | −0.572823 | − | 0.0620979i | ||||
\(486\) | 19.9830 | + | 23.0616i | 0.906447 | + | 1.04610i | ||||
\(487\) | −8.74048 | − | 13.6005i | −0.396069 | − | 0.616295i | 0.584751 | − | 0.811213i | \(-0.301192\pi\) |
−0.980820 | + | 0.194918i | \(0.937556\pi\) | |||||||
\(488\) | 9.36254 | − | 1.34613i | 0.423822 | − | 0.0609364i | ||||
\(489\) | 14.1564 | + | 9.09775i | 0.640174 | + | 0.411415i | ||||
\(490\) | 3.88289 | − | 3.60869i | 0.175411 | − | 0.163024i | ||||
\(491\) | −11.1213 | + | 12.8347i | −0.501899 | + | 0.579223i | −0.949006 | − | 0.315258i | \(-0.897909\pi\) |
0.447107 | + | 0.894481i | \(0.352454\pi\) | |||||||
\(492\) | 0.633735 | + | 0.0911173i | 0.0285710 | + | 0.00410788i | ||||
\(493\) | 6.82776 | − | 3.11813i | 0.307507 | − | 0.140434i | ||||
\(494\) | 35.1144 | + | 10.3105i | 1.57987 | + | 0.463893i | ||||
\(495\) | 8.47838 | − | 10.5020i | 0.381075 | − | 0.472029i | ||||
\(496\) | 10.0224 | + | 21.9461i | 0.450020 | + | 0.985407i | ||||
\(497\) | −21.8377 | − | 3.13978i | −0.979553 | − | 0.140839i | ||||
\(498\) | 18.7367 | + | 16.2354i | 0.839611 | + | 0.727527i | ||||
\(499\) | −8.55147 | + | 18.7251i | −0.382816 | + | 0.838251i | 0.615911 | + | 0.787816i | \(0.288788\pi\) |
−0.998727 | + | 0.0504351i | \(0.983939\pi\) | |||||||
\(500\) | 0.406433 | + | 0.0744438i | 0.0181762 | + | 0.00332923i | ||||
\(501\) | −3.62917 | − | 25.2415i | −0.162139 | − | 1.12770i | ||||
\(502\) | −13.0288 | − | 20.2731i | −0.581502 | − | 0.904834i | ||||
\(503\) | 4.26993 | − | 3.69991i | 0.190387 | − | 0.164971i | −0.554452 | − | 0.832216i | \(-0.687072\pi\) |
0.744838 | + | 0.667245i | \(0.232527\pi\) | |||||||
\(504\) | −30.7430 | + | 9.02695i | −1.36940 | + | 0.402092i | ||||
\(505\) | 4.49313 | − | 10.8203i | 0.199942 | − | 0.481495i | ||||
\(506\) | 3.56976 | + | 10.0350i | 0.158695 | + | 0.446108i | ||||
\(507\) | 22.9380i | 1.01871i | ||||||||
\(508\) | −0.0659147 | − | 0.224485i | −0.00292449 | − | 0.00995990i | ||||
\(509\) | −23.0053 | − | 26.5496i | −1.01969 | − | 1.17679i | −0.984135 | − | 0.177421i | \(-0.943225\pi\) |
−0.0355580 | − | 0.999368i | \(-0.511321\pi\) | |||||||
\(510\) | −10.6284 | + | 1.90787i | −0.470635 | + | 0.0844817i | ||||
\(511\) | 0.128044 | + | 0.890564i | 0.00566432 | + | 0.0393962i | ||||
\(512\) | 12.5549 | − | 19.5359i | 0.554855 | − | 0.863372i | ||||
\(513\) | −10.7307 | − | 4.90056i | −0.473773 | − | 0.216365i | ||||
\(514\) | 8.15743 | − | 9.41418i | 0.359809 | − | 0.415242i | ||||
\(515\) | 21.3033 | − | 35.8324i | 0.938734 | − | 1.57897i | ||||
\(516\) | −0.248003 | − | 0.543051i | −0.0109177 | − | 0.0239065i | ||||
\(517\) | 4.13813 | − | 14.0932i | 0.181995 | − | 0.619817i | ||||
\(518\) | −0.265903 | + | 0.905581i | −0.0116831 | + | 0.0397889i | ||||
\(519\) | −9.75117 | − | 21.3521i | −0.428029 | − | 0.937252i | ||||
\(520\) | −25.6064 | − | 15.2237i | −1.12292 | − | 0.667602i | ||||
\(521\) | 6.79035 | − | 7.83648i | 0.297491 | − | 0.343323i | −0.587250 | − | 0.809405i | \(-0.699790\pi\) |
0.884741 | + | 0.466083i | \(0.154335\pi\) | |||||||
\(522\) | 27.5768 | + | 12.5939i | 1.20701 | + | 0.551221i | ||||
\(523\) | 21.3504 | − | 33.2219i | 0.933589 | − | 1.45269i | 0.0423796 | − | 0.999102i | \(-0.486506\pi\) |
0.891210 | − | 0.453592i | \(-0.149858\pi\) | |||||||
\(524\) | 0.0252698 | + | 0.175755i | 0.00110392 | + | 0.00767791i | ||||
\(525\) | −37.5692 | − | 8.24237i | −1.63965 | − | 0.359727i | ||||
\(526\) | 2.37990 | + | 2.74655i | 0.103769 | + | 0.119755i | ||||
\(527\) | 2.28779 | + | 7.79148i | 0.0996575 | + | 0.339402i | ||||
\(528\) | − | 16.2323i | − | 0.706420i | ||||||
\(529\) | 17.8328 | − | 14.5255i | 0.775339 | − | 0.631545i | ||||
\(530\) | −10.3279 | + | 24.8715i | −0.448617 | + | 1.08035i | ||||
\(531\) | 42.6253 | − | 12.5159i | 1.84978 | − | 0.543145i | ||||
\(532\) | −0.460761 | + | 0.399252i | −0.0199765 | + | 0.0173098i | ||||
\(533\) | −16.7568 | − | 26.0740i | −0.725816 | − | 1.12939i | ||||
\(534\) | 4.09291 | + | 28.4668i | 0.177118 | + | 1.23188i | ||||
\(535\) | −9.87495 | − | 14.2495i | −0.426931 | − | 0.616062i | ||||
\(536\) | 12.4957 | − | 27.3617i | 0.539731 | − | 1.18185i | ||||
\(537\) | −26.7698 | − | 23.1962i | −1.15520 | − | 1.00099i | ||||
\(538\) | 3.80269 | + | 0.546744i | 0.163945 | + | 0.0235718i | ||||
\(539\) | 1.11415 | + | 2.43964i | 0.0479897 | + | 0.105083i | ||||
\(540\) | 0.135562 | + | 0.109440i | 0.00583364 | + | 0.00470957i | ||||
\(541\) | 4.70539 | + | 1.38163i | 0.202300 | + | 0.0594007i | 0.381313 | − | 0.924446i | \(-0.375472\pi\) |
−0.179013 | + | 0.983847i | \(0.557290\pi\) | |||||||
\(542\) | 17.6647 | − | 8.06721i | 0.758765 | − | 0.346516i | ||||
\(543\) | 8.09800 | + | 1.16432i | 0.347519 | + | 0.0499656i | ||||
\(544\) | 0.180827 | − | 0.208686i | 0.00775290 | − | 0.00894732i | ||||
\(545\) | 8.91425 | + | 9.59159i | 0.381844 | + | 0.410859i | ||||
\(546\) | 42.3254 | + | 27.2009i | 1.81136 | + | 1.16409i | ||||
\(547\) | −19.3788 | + | 2.78626i | −0.828579 | + | 0.119132i | −0.543539 | − | 0.839384i | \(-0.682916\pi\) |
−0.285040 | + | 0.958516i | \(0.592007\pi\) | |||||||
\(548\) | 0.0912818 | + | 0.142037i | 0.00389936 | + | 0.00606753i | ||||
\(549\) | 8.26488 | + | 9.53818i | 0.352736 | + | 0.407079i | ||||
\(550\) | 5.33903 | − | 9.73668i | 0.227657 | − | 0.415173i | ||||
\(551\) | 31.7947 | 1.35450 | ||||||||
\(552\) | −33.6470 | + | 11.9693i | −1.43211 | + | 0.509448i | ||||
\(553\) | − | 24.2853i | − | 1.03272i | ||||||
\(554\) | −3.93860 | + | 1.15648i | −0.167335 | + | 0.0491340i | ||||
\(555\) | 1.26523 | − | 0.419866i | 0.0537061 | − | 0.0178223i | ||||
\(556\) | −0.473058 | + | 0.304016i | −0.0200621 | + | 0.0128932i | ||||
\(557\) | −20.7623 | + | 2.98516i | −0.879725 | + | 0.126485i | −0.567353 | − | 0.823474i | \(-0.692033\pi\) |
−0.312372 | + | 0.949960i | \(0.601124\pi\) | |||||||
\(558\) | −17.7318 | + | 27.5913i | −0.750648 | + | 1.16803i | ||||
\(559\) | −12.0057 | + | 26.2888i | −0.507787 | + | 1.11190i | ||||
\(560\) | −23.1469 | + | 11.5609i | −0.978134 | + | 0.488537i | ||||
\(561\) | 0.777531 | − | 5.40784i | 0.0328274 | − | 0.228319i | ||||
\(562\) | 31.1611 | − | 14.2308i | 1.31445 | − | 0.600289i | ||||
\(563\) | −0.692647 | + | 2.35894i | −0.0291916 | + | 0.0994174i | −0.972800 | − | 0.231645i | \(-0.925589\pi\) |
0.943609 | + | 0.331063i | \(0.107407\pi\) | |||||||
\(564\) | 0.857348 | + | 0.251740i | 0.0361009 | + | 0.0106002i | ||||
\(565\) | 0.707408 | + | 20.3111i | 0.0297609 | + | 0.854494i | ||||
\(566\) | −3.96998 | + | 27.6118i | −0.166871 | + | 1.16061i | ||||
\(567\) | 13.1974 | + | 11.4356i | 0.554237 | + | 0.480249i | ||||
\(568\) | 19.4268 | + | 8.87194i | 0.815132 | + | 0.372258i | ||||
\(569\) | −4.13174 | − | 2.65531i | −0.173212 | − | 0.111316i | 0.451162 | − | 0.892442i | \(-0.351010\pi\) |
−0.624374 | + | 0.781126i | \(0.714646\pi\) | |||||||
\(570\) | −44.3094 | − | 11.3511i | −1.85592 | − | 0.475445i | ||||
\(571\) | −6.45163 | + | 4.14621i | −0.269992 | + | 0.173514i | −0.668631 | − | 0.743595i | \(-0.733119\pi\) |
0.398638 | + | 0.917108i | \(0.369483\pi\) | |||||||
\(572\) | 0.206670 | − | 0.179081i | 0.00864133 | − | 0.00748775i | ||||
\(573\) | 1.01683 | + | 3.46301i | 0.0424787 | + | 0.144669i | ||||
\(574\) | −27.4262 | −1.14475 | ||||||||
\(575\) | −23.6737 | − | 3.81552i | −0.987260 | − | 0.159118i | ||||
\(576\) | 31.0060 | 1.29192 | ||||||||
\(577\) | 9.77699 | + | 33.2974i | 0.407021 | + | 1.38619i | 0.867022 | + | 0.498269i | \(0.166031\pi\) |
−0.460001 | + | 0.887918i | \(0.652151\pi\) | |||||||
\(578\) | 16.1531 | − | 13.9967i | 0.671880 | − | 0.582187i | ||||
\(579\) | −5.77100 | + | 3.70880i | −0.239835 | + | 0.154132i | ||||
\(580\) | −0.454881 | − | 0.116531i | −0.0188879 | − | 0.00483867i | ||||
\(581\) | 16.8200 | + | 10.8096i | 0.697812 | + | 0.448457i | ||||
\(582\) | −18.8705 | − | 8.61788i | −0.782209 | − | 0.357223i | ||||
\(583\) | −10.2976 | − | 8.92292i | −0.426483 | − | 0.369550i | ||||
\(584\) | 0.123950 | − | 0.862089i | 0.00512908 | − | 0.0356735i | ||||
\(585\) | −1.38355 | − | 39.7246i | −0.0572029 | − | 1.64241i | ||||
\(586\) | 15.0794 | + | 4.42770i | 0.622923 | + | 0.182907i | ||||
\(587\) | −6.36972 | + | 21.6933i | −0.262906 | + | 0.895377i | 0.717194 | + | 0.696874i | \(0.245426\pi\) |
−0.980100 | + | 0.198503i | \(0.936392\pi\) | |||||||
\(588\) | −0.148414 | + | 0.0677783i | −0.00612048 | + | 0.00279513i | ||||
\(589\) | −4.89521 | + | 34.0469i | −0.201704 | + | 1.40288i | ||||
\(590\) | 32.6977 | − | 16.3311i | 1.34614 | − | 0.672341i | ||||
\(591\) | −15.1532 | + | 33.1808i | −0.623318 | + | 1.36488i | ||||
\(592\) | 0.484818 | − | 0.754391i | 0.0199259 | − | 0.0310053i | ||||
\(593\) | 13.3866 | − | 1.92471i | 0.549723 | − | 0.0790383i | 0.138144 | − | 0.990412i | \(-0.455886\pi\) |
0.411579 | + | 0.911374i | \(0.364977\pi\) | |||||||
\(594\) | 3.93892 | − | 2.53139i | 0.161616 | − | 0.103864i | ||||
\(595\) | −8.26524 | + | 2.74281i | −0.338842 | + | 0.112444i | ||||
\(596\) | 0.350686 | − | 0.102971i | 0.0143646 | − | 0.00421784i | ||||
\(597\) | 35.4100i | 1.44923i | ||||||||
\(598\) | 27.2978 | + | 15.4499i | 1.11629 | + | 0.631793i | ||||
\(599\) | 24.1718 | 0.987634 | 0.493817 | − | 0.869566i | \(-0.335601\pi\) | ||||
0.493817 | + | 0.869566i | \(0.335601\pi\) | |||||||
\(600\) | 32.6469 | + | 17.9017i | 1.33280 | + | 0.730832i | ||||
\(601\) | 3.63800 | + | 4.19847i | 0.148397 | + | 0.171259i | 0.825081 | − | 0.565014i | \(-0.191129\pi\) |
−0.676684 | + | 0.736273i | \(0.736584\pi\) | |||||||
\(602\) | 13.8261 | + | 21.5138i | 0.563509 | + | 0.876836i | ||||
\(603\) | 39.7269 | − | 5.71187i | 1.61781 | − | 0.232605i | ||||
\(604\) | −0.563308 | − | 0.362016i | −0.0229207 | − | 0.0147302i | ||||
\(605\) | −12.9199 | − | 13.9016i | −0.525270 | − | 0.565182i | ||||
\(606\) | 12.5436 | − | 14.4760i | 0.509547 | − | 0.588049i | ||||
\(607\) | −13.6988 | − | 1.96959i | −0.556016 | − | 0.0799431i | −0.141422 | − | 0.989949i | \(-0.545167\pi\) |
−0.414594 | + | 0.910006i | \(0.636077\pi\) | |||||||
\(608\) | 1.06396 | − | 0.485892i | 0.0431491 | − | 0.0197055i | ||||
\(609\) | 41.9399 | + | 12.3147i | 1.69949 | + | 0.499016i | ||||
\(610\) | 8.07918 | + | 6.52242i | 0.327116 | + | 0.264085i | ||||
\(611\) | −17.9692 | − | 39.3470i | −0.726955 | − | 1.59181i | ||||
\(612\) | 0.184014 | + | 0.0264572i | 0.00743831 | + | 0.00106947i | ||||
\(613\) | 2.55345 | + | 2.21258i | 0.103133 | + | 0.0893651i | 0.704901 | − | 0.709306i | \(-0.250991\pi\) |
−0.601768 | + | 0.798671i | \(0.705537\pi\) | |||||||
\(614\) | −4.42484 | + | 9.68906i | −0.178572 | + | 0.391019i | ||||
\(615\) | 22.0649 | + | 31.8397i | 0.889743 | + | 1.28390i | ||||
\(616\) | −1.89809 | − | 13.2015i | −0.0764764 | − | 0.531905i | ||||
\(617\) | −20.9757 | − | 32.6389i | −0.844451 | − | 1.31399i | −0.947643 | − | 0.319331i | \(-0.896542\pi\) |
0.103192 | − | 0.994661i | \(-0.467094\pi\) | |||||||
\(618\) | 51.5070 | − | 44.6311i | 2.07192 | − | 1.79533i | ||||
\(619\) | 2.59883 | − | 0.763087i | 0.104456 | − | 0.0306710i | −0.229087 | − | 0.973406i | \(-0.573574\pi\) |
0.333543 | + | 0.942735i | \(0.391756\pi\) | |||||||
\(620\) | 0.194820 | − | 0.469162i | 0.00782416 | − | 0.0188420i | ||||
\(621\) | −8.00097 | − | 6.18176i | −0.321068 | − | 0.248066i | ||||
\(622\) | − | 24.1785i | − | 0.969471i | ||||||
\(623\) | 6.53437 | + | 22.2540i | 0.261794 | + | 0.891589i | ||||
\(624\) | −31.3046 | − | 36.1274i | −1.25319 | − | 1.44625i | ||||
\(625\) | 13.4415 | + | 21.0791i | 0.537658 | + | 0.843163i | ||||
\(626\) | −0.540786 | − | 3.76125i | −0.0216142 | − | 0.150330i | ||||
\(627\) | 12.5118 | − | 19.4687i | 0.499672 | − | 0.777505i | ||||
\(628\) | 0.759546 | + | 0.346873i | 0.0303092 | + | 0.0138418i | ||||
\(629\) | 0.197654 | − | 0.228105i | 0.00788099 | − | 0.00909515i | ||||
\(630\) | −30.2332 | − | 17.9744i | −1.20452 | − | 0.716118i | ||||
\(631\) | −16.5157 | − | 36.1643i | −0.657480 | − | 1.43968i | −0.884852 | − | 0.465872i | \(-0.845741\pi\) |
0.227373 | − | 0.973808i | \(-0.426986\pi\) | |||||||
\(632\) | −6.62319 | + | 22.5565i | −0.263456 | + | 0.897250i | ||||
\(633\) | −4.66521 | + | 15.8883i | −0.185426 | + | 0.631501i | ||||
\(634\) | −1.70629 | − | 3.73626i | −0.0677655 | − | 0.148386i | ||||
\(635\) | 7.23399 | − | 12.1677i | 0.287072 | − | 0.482860i | ||||
\(636\) | 0.542819 | − | 0.626447i | 0.0215242 | − | 0.0248402i | ||||
\(637\) | 7.18464 | + | 3.28111i | 0.284666 | + | 0.130002i | ||||
\(638\) | −6.82262 | + | 10.6162i | −0.270110 | + | 0.420299i | ||||
\(639\) | 4.05544 | + | 28.2062i | 0.160431 | + | 1.11582i | ||||
\(640\) | 24.1878 | − | 4.34185i | 0.956108 | − | 0.171627i | ||||
\(641\) | −6.33688 | − | 7.31315i | −0.250292 | − | 0.288852i | 0.616675 | − | 0.787218i | \(-0.288479\pi\) |
−0.866967 | + | 0.498366i | \(0.833934\pi\) | |||||||
\(642\) | −7.98538 | − | 27.1957i | −0.315158 | − | 1.07333i | ||||
\(643\) | 32.3558i | 1.27599i | 0.770041 | + | 0.637994i | \(0.220235\pi\) | ||||
−0.770041 | + | 0.637994i | \(0.779765\pi\) | |||||||
\(644\) | −0.462386 | + | 0.243417i | −0.0182206 | + | 0.00959196i | ||||
\(645\) | 13.8525 | − | 33.3592i | 0.545440 | − | 1.31352i | ||||
\(646\) | −9.93669 | + | 2.91768i | −0.390954 | + | 0.114794i | ||||
\(647\) | −16.6254 | + | 14.4060i | −0.653611 | + | 0.566357i | −0.917274 | − | 0.398258i | \(-0.869615\pi\) |
0.263662 | + | 0.964615i | \(0.415070\pi\) | |||||||
\(648\) | −9.13914 | − | 14.2208i | −0.359019 | − | 0.558645i | ||||
\(649\) | 2.63172 | + | 18.3040i | 0.103304 | + | 0.718495i | ||||
\(650\) | −6.89473 | − | 31.9670i | −0.270433 | − | 1.25385i | ||||
\(651\) | −19.6442 | + | 43.0148i | −0.769916 | + | 1.68588i | ||||
\(652\) | −0.180133 | − | 0.156086i | −0.00705454 | − | 0.00611280i | ||||
\(653\) | −2.06514 | − | 0.296923i | −0.0808152 | − | 0.0116195i | 0.101789 | − | 0.994806i | \(-0.467543\pi\) |
−0.182604 | + | 0.983187i | \(0.558453\pi\) | |||||||
\(654\) | 8.89317 | + | 19.4733i | 0.347750 | + | 0.761467i | ||||
\(655\) | −6.74849 | + | 8.35920i | −0.263685 | + | 0.326621i | ||||
\(656\) | 25.0030 | + | 7.34153i | 0.976202 | + | 0.286639i | ||||
\(657\) | 1.05709 | − | 0.482757i | 0.0412410 | − | 0.0188341i | ||||
\(658\) | −37.8867 | − | 5.44729i | −1.47698 | − | 0.212358i | ||||
\(659\) | 2.87363 | − | 3.31634i | 0.111941 | − | 0.129186i | −0.697014 | − | 0.717058i | \(-0.745488\pi\) |
0.808954 | + | 0.587871i | \(0.200034\pi\) | |||||||
\(660\) | −0.250358 | + | 0.232678i | −0.00974518 | + | 0.00905699i | ||||
\(661\) | −18.4504 | − | 11.8574i | −0.717639 | − | 0.461199i | 0.130176 | − | 0.991491i | \(-0.458446\pi\) |
−0.847815 | + | 0.530292i | \(0.822082\pi\) | |||||||
\(662\) | 11.6935 | − | 1.68127i | 0.454480 | − | 0.0653443i | ||||
\(663\) | −8.69871 | − | 13.5355i | −0.337830 | − | 0.525674i | ||||
\(664\) | −12.6746 | − | 14.6273i | −0.491871 | − | 0.567650i | ||||
\(665\) | −36.6730 | − | 3.97560i | −1.42212 | − | 0.154167i | ||||
\(666\) | 1.21906 | 0.0472374 | ||||||||
\(667\) | 26.5368 | + | 6.19737i | 1.02751 | + | 0.239963i | ||||
\(668\) | 0.361199i | 0.0139752i | ||||||||
\(669\) | −24.1290 | + | 7.08490i | −0.932879 | + | 0.273918i | ||||
\(670\) | 31.3397 | − | 10.4000i | 1.21076 | − | 0.401789i | ||||
\(671\) | −4.41955 | + | 2.84027i | −0.170615 | + | 0.109647i | ||||
\(672\) | 1.59164 | − | 0.228843i | 0.0613989 | − | 0.00882783i | ||||
\(673\) | −17.8662 | + | 27.8003i | −0.688690 | + | 1.07162i | 0.304202 | + | 0.952608i | \(0.401610\pi\) |
−0.992892 | + | 0.119016i | \(0.962026\pi\) | |||||||
\(674\) | 1.99050 | − | 4.35858i | 0.0766711 | − | 0.167886i | ||||
\(675\) | 0.733390 | + | 10.5158i | 0.0282282 | + | 0.404752i | ||||
\(676\) | 0.0462375 | − | 0.321589i | 0.00177837 | − | 0.0123688i | ||||
\(677\) | −28.8393 | + | 13.1705i | −1.10838 | + | 0.506182i | −0.883608 | − | 0.468228i | \(-0.844893\pi\) |
−0.224777 | + | 0.974410i | \(0.572165\pi\) | |||||||
\(678\) | −9.36103 | + | 31.8807i | −0.359508 | + | 1.22437i | ||||
\(679\) | −16.0526 | − | 4.71346i | −0.616042 | − | 0.180886i | ||||
\(680\) | 8.42490 | − | 0.293428i | 0.323080 | − | 0.0112524i | ||||
\(681\) | −6.96995 | + | 48.4770i | −0.267089 | + | 1.85764i | ||||
\(682\) | −10.3178 | − | 8.94040i | −0.395088 | − | 0.342346i | ||||
\(683\) | −14.1586 | − | 6.46599i | −0.541762 | − | 0.247414i | 0.125687 | − | 0.992070i | \(-0.459886\pi\) |
−0.667449 | + | 0.744656i | \(0.732614\pi\) | |||||||
\(684\) | 0.662465 | + | 0.425741i | 0.0253300 | + | 0.0162786i | ||||
\(685\) | −2.53513 | + | 9.89596i | −0.0968623 | + | 0.378105i | ||||
\(686\) | −18.4452 | + | 11.8540i | −0.704240 | + | 0.452588i | ||||
\(687\) | 32.7521 | − | 28.3798i | 1.24957 | − | 1.08276i | ||||
\(688\) | −6.84559 | − | 23.3139i | −0.260986 | − | 0.888836i | ||||
\(689\) | −40.1270 | −1.52872 | ||||||||
\(690\) | −34.7694 | − | 18.1107i | −1.32365 | − | 0.689461i | ||||
\(691\) | −42.2733 | −1.60815 | −0.804076 | − | 0.594527i | \(-0.797339\pi\) | ||||
−0.804076 | + | 0.594527i | \(0.797339\pi\) | |||||||
\(692\) | 0.0936701 | + | 0.319011i | 0.00356080 | + | 0.0121270i | ||||
\(693\) | 13.4492 | − | 11.6538i | 0.510893 | − | 0.442691i | ||||
\(694\) | −8.55913 | + | 5.50062i | −0.324900 | + | 0.208801i | ||||
\(695\) | −32.9587 | − | 8.44330i | −1.25020 | − | 0.320273i | ||||
\(696\) | −35.5959 | − | 22.8761i | −1.34926 | − | 0.867116i | ||||
\(697\) | 7.97817 | + | 3.64351i | 0.302195 | + | 0.138008i | ||||
\(698\) | −36.7964 | − | 31.8843i | −1.39277 | − | 1.20684i | ||||
\(699\) | −5.01590 | + | 34.8864i | −0.189719 | + | 1.31952i | ||||
\(700\) | 0.510103 | + | 0.191288i | 0.0192801 | + | 0.00723001i | ||||
\(701\) | 41.6290 | + | 12.2234i | 1.57231 | + | 0.461671i | 0.947672 | − | 0.319246i | \(-0.103430\pi\) |
0.624635 | + | 0.780917i | \(0.285248\pi\) | |||||||
\(702\) | 3.88478 | − | 13.2303i | 0.146622 | − | 0.499347i | ||||
\(703\) | 1.16296 | − | 0.531107i | 0.0438620 | − | 0.0200311i | ||||
\(704\) | −1.83679 | + | 12.7751i | −0.0692266 | + | 0.481481i | ||||
\(705\) | 24.1568 | + | 48.3660i | 0.909796 | + | 1.82157i | ||||
\(706\) | 13.9316 | − | 30.5058i | 0.524321 | − | 1.14810i | ||||
\(707\) | 8.35152 | − | 12.9952i | 0.314091 | − | 0.488736i | ||||
\(708\) | −1.11351 | + | 0.160099i | −0.0418483 | + | 0.00601688i | ||||
\(709\) | 30.2132 | − | 19.4168i | 1.13468 | − | 0.729215i | 0.168148 | − | 0.985762i | \(-0.446221\pi\) |
0.966532 | + | 0.256547i | \(0.0825849\pi\) | |||||||
\(710\) | 7.38404 | + | 22.2512i | 0.277118 | + | 0.835074i | ||||
\(711\) | −30.0970 | + | 8.83727i | −1.12873 | + | 0.331424i | ||||
\(712\) | − | 22.4519i | − | 0.841422i | ||||||
\(713\) | −10.7220 | + | 27.4624i | −0.401544 | + | 1.02847i | ||||
\(714\) | −14.2374 | −0.532821 | ||||||||
\(715\) | 16.4494 | + | 1.78322i | 0.615171 | + | 0.0666887i | ||||
\(716\) | 0.328554 | + | 0.379171i | 0.0122786 | + | 0.0141703i | ||||
\(717\) | −5.51717 | − | 8.58489i | −0.206043 | − | 0.320608i | ||||
\(718\) | −16.9810 | + | 2.44150i | −0.633725 | + | 0.0911160i | ||||
\(719\) | 0.284312 | + | 0.182716i | 0.0106030 | + | 0.00681416i | 0.545932 | − | 0.837830i | \(-0.316176\pi\) |
−0.535329 | + | 0.844644i | \(0.679812\pi\) | |||||||
\(720\) | 22.7505 | + | 24.4792i | 0.847862 | + | 0.912286i | ||||
\(721\) | 35.9934 | − | 41.5386i | 1.34046 | − | 1.54698i | ||||
\(722\) | −17.0713 | − | 2.45448i | −0.635329 | − | 0.0913465i | ||||
\(723\) | −23.1372 | + | 10.5664i | −0.860481 | + | 0.392968i | ||||
\(724\) | −0.111187 | − | 0.0326473i | −0.00413222 | − | 0.00121333i | ||||
\(725\) | −13.5718 | − | 24.9598i | −0.504043 | − | 0.926984i | ||||
\(726\) | −12.8894 | − | 28.2238i | −0.478370 | − | 1.04748i | ||||
\(727\) | 3.30099 | + | 0.474610i | 0.122427 | + | 0.0176023i | 0.203256 | − | 0.979126i | \(-0.434848\pi\) |
−0.0808290 | + | 0.996728i | \(0.525757\pi\) | |||||||
\(728\) | −29.6841 | − | 25.7214i | −1.10017 | − | 0.953300i | ||||
\(729\) | 16.2253 | − | 35.5284i | 0.600936 | − | 1.31587i | ||||
\(730\) | 0.785834 | − | 0.544584i | 0.0290850 | − | 0.0201560i | ||||
\(731\) | −1.16389 | − | 8.09503i | −0.0430480 | − | 0.299405i | ||||
\(732\) | −0.172786 | − | 0.268860i | −0.00638635 | − | 0.00993735i | ||||
\(733\) | 28.7160 | − | 24.8826i | 1.06065 | − | 0.919060i | 0.0637693 | − | 0.997965i | \(-0.479688\pi\) |
0.996882 | + | 0.0789050i | \(0.0251424\pi\) | |||||||
\(734\) | 0.282905 | − | 0.0830684i | 0.0104422 | − | 0.00306611i | ||||
\(735\) | −9.11696 | − | 3.78583i | −0.336284 | − | 0.139642i | ||||
\(736\) | 0.982716 | − | 0.198155i | 0.0362234 | − | 0.00730411i | ||||
\(737\) | 16.7067i | 0.615400i | ||||||||
\(738\) | 9.98023 | + | 33.9896i | 0.367377 | + | 1.25117i | ||||
\(739\) | 10.3211 | + | 11.9112i | 0.379668 | + | 0.438161i | 0.913133 | − | 0.407662i | \(-0.133656\pi\) |
−0.533465 | + | 0.845822i | \(0.679110\pi\) | |||||||
\(740\) | −0.0185848 | + | 0.00333609i | −0.000683192 | + | 0.000122637i | ||||
\(741\) | −9.69927 | − | 67.4599i | −0.356312 | − | 2.47820i | ||||
\(742\) | −19.1969 | + | 29.8709i | −0.704739 | + | 1.09660i | ||||
\(743\) | 23.4293 | + | 10.6998i | 0.859538 | + | 0.392538i | 0.795895 | − | 0.605435i | \(-0.207001\pi\) |
0.0636434 | + | 0.997973i | \(0.479728\pi\) | |||||||
\(744\) | 29.9770 | − | 34.5953i | 1.09901 | − | 1.26832i | ||||
\(745\) | 19.0081 | + | 11.3008i | 0.696403 | + | 0.414029i | ||||
\(746\) | 6.62828 | + | 14.5139i | 0.242679 | + | 0.531392i | ||||
\(747\) | 7.27570 | − | 24.7787i | 0.266204 | − | 0.906607i | ||||
\(748\) | −0.0218019 | + | 0.0742504i | −0.000797155 | + | 0.00271486i | ||||
\(749\) | −9.49567 | − | 20.7926i | −0.346964 | − | 0.759746i | ||||
\(750\) | 10.0028 | + | 39.6295i | 0.365250 | + | 1.44706i | ||||
\(751\) | −26.6918 | + | 30.8040i | −0.973998 | + | 1.12405i | 0.0182565 | + | 0.999833i | \(0.494188\pi\) |
−0.992255 | + | 0.124220i | \(0.960357\pi\) | |||||||
\(752\) | 33.0811 | + | 15.1076i | 1.20634 | + | 0.550919i | ||||
\(753\) | −24.2632 | + | 37.7543i | −0.884200 | + | 1.37584i | ||||
\(754\) | 5.28897 | + | 36.7856i | 0.192613 | + | 1.33965i | ||||
\(755\) | −7.15808 | − | 39.8766i | −0.260509 | − | 1.45126i | ||||
\(756\) | 0.150429 | + | 0.173605i | 0.00547107 | + | 0.00631395i | ||||
\(757\) | 9.34741 | + | 31.8344i | 0.339737 | + | 1.15704i | 0.935337 | + | 0.353758i | \(0.115096\pi\) |
−0.595600 | + | 0.803281i | \(0.703085\pi\) | |||||||
\(758\) | − | 12.2072i | − | 0.443386i | ||||||
\(759\) | 14.2375 | − | 13.8104i | 0.516788 | − | 0.501285i | ||||
\(760\) | 32.9782 | + | 13.6942i | 1.19624 | + | 0.496742i | ||||
\(761\) | −27.2664 | + | 8.00614i | −0.988407 | + | 0.290222i | −0.735690 | − | 0.677318i | \(-0.763142\pi\) |
−0.252716 | + | 0.967540i | \(0.581324\pi\) | |||||||
\(762\) | 17.4903 | − | 15.1555i | 0.633608 | − | 0.549025i | ||||
\(763\) | 9.33400 | + | 14.5240i | 0.337914 | + | 0.525804i | ||||
\(764\) | −0.00727531 | − | 0.0506009i | −0.000263211 | − | 0.00183068i | ||||
\(765\) | 6.40686 | + | 9.24509i | 0.231640 | + | 0.334257i | ||||
\(766\) | 4.72252 | − | 10.3409i | 0.170632 | − | 0.373631i | ||||
\(767\) | 41.1572 | + | 35.6629i | 1.48610 | + | 1.28771i | ||||
\(768\) | −2.28996 | − | 0.329247i | −0.0826319 | − | 0.0118807i | ||||
\(769\) | −4.94521 | − | 10.8285i | −0.178329 | − | 0.390486i | 0.799267 | − | 0.600976i | \(-0.205221\pi\) |
−0.977596 | + | 0.210490i | \(0.932494\pi\) | |||||||
\(770\) | 9.19686 | − | 11.3920i | 0.331432 | − | 0.410537i | ||||
\(771\) | −22.2583 | − | 6.53562i | −0.801612 | − | 0.235375i | ||||
\(772\) | 0.0883852 | − | 0.0403642i | 0.00318105 | − | 0.00145274i | ||||
\(773\) | 23.9836 | + | 3.44832i | 0.862629 | + | 0.124027i | 0.559408 | − | 0.828893i | \(-0.311029\pi\) |
0.303222 | + | 0.952920i | \(0.401938\pi\) | |||||||
\(774\) | 21.6310 | − | 24.9635i | 0.777511 | − | 0.897295i | ||||
\(775\) | 28.8174 | − | 10.6902i | 1.03515 | − | 0.384005i | ||||
\(776\) | 13.6244 | + | 8.75587i | 0.489087 | + | 0.314317i | ||||
\(777\) | 1.73975 | − | 0.250139i | 0.0624133 | − | 0.00897367i | ||||
\(778\) | 23.2023 | + | 36.1035i | 0.831843 | + | 1.29437i | ||||
\(779\) | 24.3293 | + | 28.0775i | 0.871687 | + | 1.00598i | ||||
\(780\) | −0.108481 | + | 1.00068i | −0.00388424 | + | 0.0358303i | ||||
\(781\) | −11.8618 | −0.424449 | ||||||||
\(782\) | −8.86216 | + | 0.498336i | −0.316910 | + | 0.0178205i | ||||
\(783\) | − | 11.9796i | − | 0.428115i | ||||||
\(784\) | −6.37162 | + | 1.87088i | −0.227558 | + | 0.0668170i | ||||
\(785\) | 15.9121 | + | 47.9500i | 0.567929 | + | 1.71141i | ||||
\(786\) | −14.7759 | + | 9.49590i | −0.527039 | + | 0.338708i | ||||
\(787\) | −21.9769 | + | 3.15980i | −0.783391 | + | 0.112635i | −0.522393 | − | 0.852705i | \(-0.674961\pi\) |
−0.260998 | + | 0.965339i | \(0.584052\pi\) | |||||||
\(788\) | 0.279331 | − | 0.434648i | 0.00995077 | − | 0.0154837i | ||||
\(789\) | 2.81150 | − | 6.15632i | 0.100092 | − | 0.219171i | ||||
\(790\) | −23.0873 | + | 11.5311i | −0.821408 | + | 0.410259i | ||||
\(791\) | −3.81348 | + | 26.5233i | −0.135592 | + | 0.943061i | ||||
\(792\) | −15.6701 | + | 7.15629i | −0.556812 | + | 0.254288i | ||||
\(793\) | −4.35880 | + | 14.8447i | −0.154785 | + | 0.527151i | ||||
\(794\) | 34.9784 | + | 10.2706i | 1.24134 | + | 0.364490i | ||||
\(795\) | 50.1220 | − | 1.74568i | 1.77764 | − | 0.0619130i | ||||
\(796\) | 0.0713782 | − | 0.496446i | 0.00252993 | − | 0.0175961i | ||||
\(797\) | 6.59484 | + | 5.71446i | 0.233601 | + | 0.202417i | 0.763793 | − | 0.645461i | \(-0.223335\pi\) |
−0.530192 | + | 0.847878i | \(0.677880\pi\) | |||||||
\(798\) | −54.8579 | − | 25.0528i | −1.94195 | − | 0.886859i | ||||
\(799\) | 10.2974 | + | 6.61776i | 0.364297 | + | 0.234119i | ||||
\(800\) | −0.835594 | − | 0.627830i | −0.0295427 | − | 0.0221971i | ||||
\(801\) | 25.2018 | − | 16.1962i | 0.890462 | − | 0.572265i | ||||
\(802\) | −34.3906 | + | 29.7996i | −1.21437 | + | 1.05226i | ||||
\(803\) | 0.136285 | + | 0.464143i | 0.00480938 | + | 0.0163792i | ||||
\(804\) | −1.01634 | −0.0358436 | ||||||||
\(805\) | −29.8334 | − | 10.4664i | −1.05149 | − | 0.368892i | ||||
\(806\) | −40.2056 | −1.41618 | ||||||||
\(807\) | −2.01565 | − | 6.86468i | −0.0709543 | − | 0.241648i | ||||
\(808\) | −11.3011 | + | 9.79248i | −0.397572 | + | 0.344498i | ||||
\(809\) | −42.8271 | + | 27.5233i | −1.50572 | + | 0.967669i | −0.511621 | + | 0.859211i | \(0.670955\pi\) |
−0.994101 | + | 0.108457i | \(0.965409\pi\) | |||||||
\(810\) | 4.60510 | − | 17.9762i | 0.161807 | − | 0.631618i | ||||
\(811\) | 0.148167 | + | 0.0952212i | 0.00520285 | + | 0.00334367i | 0.543240 | − | 0.839578i | \(-0.317198\pi\) |
−0.538037 | + | 0.842921i | \(0.680834\pi\) | |||||||
\(812\) | −0.563172 | − | 0.257192i | −0.0197635 | − | 0.00902568i | ||||
\(813\) | −27.3315 | − | 23.6829i | −0.958559 | − | 0.830596i | ||||
\(814\) | −0.0722166 | + | 0.502277i | −0.00253119 | + | 0.0176048i | ||||
\(815\) | −0.501965 | − | 14.4124i | −0.0175831 | − | 0.504845i | ||||
\(816\) | 12.9795 | + | 3.81111i | 0.454372 | + | 0.133416i | ||||
\(817\) | 9.75981 | − | 33.2389i | 0.341453 | − | 1.16288i | ||||
\(818\) | −26.8052 | + | 12.2415i | −0.937222 | + | 0.428015i | ||||
\(819\) | 7.45843 | − | 51.8745i | 0.260619 | − | 1.81264i | ||||
\(820\) | −0.245168 | − | 0.490868i | −0.00856163 | − | 0.0171419i | ||||
\(821\) | 12.4719 | − | 27.3097i | 0.435273 | − | 0.953115i | −0.557169 | − | 0.830399i | \(-0.688112\pi\) |
0.992442 | − | 0.122716i | \(-0.0391603\pi\) | |||||||
\(822\) | −9.02941 | + | 14.0500i | −0.314937 | + | 0.490051i | ||||
\(823\) | 2.06963 | − | 0.297567i | 0.0721426 | − | 0.0103725i | −0.106149 | − | 0.994350i | \(-0.533852\pi\) |
0.178292 | + | 0.983978i | \(0.442943\pi\) | |||||||
\(824\) | −44.7597 | + | 28.7653i | −1.55928 | + | 1.00209i | ||||
\(825\) | −20.6242 | − | 1.51178i | −0.718043 | − | 0.0526335i | ||||
\(826\) | 46.2375 | − | 13.5766i | 1.60881 | − | 0.472389i | ||||
\(827\) | − | 3.18639i | − | 0.110802i | −0.998464 | − | 0.0554008i | \(-0.982356\pi\) | ||
0.998464 | − | 0.0554008i | \(-0.0176436\pi\) | |||||||
\(828\) | 0.469928 | + | 0.484462i | 0.0163311 | + | 0.0168362i | ||||
\(829\) | 31.5021 | 1.09411 | 0.547057 | − | 0.837095i | \(-0.315748\pi\) | ||||
0.547057 | + | 0.837095i | \(0.315748\pi\) | |||||||
\(830\) | 2.28986 | − | 21.1229i | 0.0794823 | − | 0.733185i | ||||
\(831\) | 5.00603 | + | 5.77727i | 0.173657 | + | 0.200411i | ||||
\(832\) | 20.5493 | + | 31.9753i | 0.712418 | + | 1.10854i | ||||
\(833\) | −2.21234 | + | 0.318087i | −0.0766531 | + | 0.0110211i | ||||
\(834\) | −46.7940 | − | 30.0727i | −1.62034 | − | 1.04133i | ||||
\(835\) | −16.0081 | + | 14.8776i | −0.553982 | + | 0.514860i | ||||
\(836\) | −0.214659 | + | 0.247729i | −0.00742413 | + | 0.00856790i | ||||
\(837\) | 12.8281 | + | 1.84441i | 0.443405 | + | 0.0637520i | ||||
\(838\) | 16.3828 | − | 7.48176i | 0.565933 | − | 0.258453i | ||||
\(839\) | 11.4981 | + | 3.37616i | 0.396960 | + | 0.116558i | 0.474119 | − | 0.880461i | \(-0.342767\pi\) |
−0.0771588 | + | 0.997019i | \(0.524585\pi\) | |||||||
\(840\) | 38.1970 | + | 30.8369i | 1.31792 | + | 1.06397i | ||||
\(841\) | 1.36562 | + | 2.99030i | 0.0470904 | + | 0.103114i | ||||
\(842\) | 35.1779 | + | 5.05782i | 1.21231 | + | 0.174304i | ||||
\(843\) | −48.2136 | − | 41.7773i | −1.66057 | − | 1.43889i | ||||
\(844\) | 0.0974330 | − | 0.213348i | 0.00335378 | − | 0.00734376i | ||||
\(845\) | 16.1571 | − | 11.1969i | 0.555820 | − | 0.385184i | ||||
\(846\) | 7.03588 | + | 48.9356i | 0.241899 | + | 1.68244i | ||||
\(847\) | −13.5283 | − | 21.0505i | −0.464838 | − | 0.723302i | ||||
\(848\) | 25.4967 | − | 22.0930i | 0.875559 | − | 0.758676i | ||||
\(849\) | 49.8454 | − | 14.6359i | 1.71069 | − | 0.502304i | ||||
\(850\) | 6.53199 | + | 6.55517i | 0.224046 | + | 0.224840i | ||||
\(851\) | 1.07416 | − | 0.216595i | 0.0368219 | − | 0.00742478i | ||||
\(852\) | − | 0.721604i | − | 0.0247218i | ||||||
\(853\) | −14.4664 | − | 49.2681i | −0.495321 | − | 1.68691i | −0.705057 | − | 0.709150i | \(-0.749079\pi\) |
0.209736 | − | 0.977758i | \(-0.432739\pi\) | |||||||
\(854\) | 8.96527 | + | 10.3465i | 0.306785 | + | 0.354049i | ||||
\(855\) | 8.41809 | + | 46.8959i | 0.287893 | + | 1.60381i | ||||
\(856\) | 3.14906 | + | 21.9022i | 0.107633 | + | 0.748601i | ||||
\(857\) | −0.418936 | + | 0.651877i | −0.0143106 | + | 0.0222677i | −0.848335 | − | 0.529460i | \(-0.822395\pi\) |
0.834025 | + | 0.551727i | \(0.186031\pi\) | |||||||
\(858\) | 24.6060 | + | 11.2372i | 0.840036 | + | 0.383632i | ||||
\(859\) | 12.2578 | − | 14.1463i | 0.418231 | − | 0.482664i | −0.507066 | − | 0.861907i | \(-0.669270\pi\) |
0.925297 | + | 0.379243i | \(0.123816\pi\) | |||||||
\(860\) | −0.261455 | + | 0.439772i | −0.00891555 | + | 0.0149961i | ||||
\(861\) | 21.2174 | + | 46.4597i | 0.723088 | + | 1.58334i | ||||
\(862\) | 7.64845 | − | 26.0482i | 0.260507 | − | 0.887207i | ||||
\(863\) | 10.0402 | − | 34.1937i | 0.341772 | − | 1.16397i | −0.591952 | − | 0.805973i | \(-0.701643\pi\) |
0.933724 | − | 0.357994i | \(-0.116539\pi\) | |||||||
\(864\) | −0.183073 | − | 0.400875i | −0.00622828 | − | 0.0136380i | ||||
\(865\) | −10.2801 | + | 17.2913i | −0.349534 | + | 0.587921i | ||||
\(866\) | 7.09718 | − | 8.19059i | 0.241172 | − | 0.278327i | ||||
\(867\) | −36.2066 | − | 16.5350i | −1.22964 | − | 0.561559i | ||||
\(868\) | 0.362118 | − | 0.563467i | 0.0122911 | − | 0.0191253i | ||||
\(869\) | −1.85821 | − | 12.9241i | −0.0630355 | − | 0.438421i | ||||
\(870\) | −8.20669 | − | 45.7182i | −0.278233 | − | 1.54999i | ||||
\(871\) | 32.2195 | + | 37.1833i | 1.09172 | + | 1.25991i | ||||
\(872\) | −4.70851 | − | 16.0357i | −0.159450 | − | 0.543037i | ||||
\(873\) | 21.6093i | 0.731365i | ||||||||
\(874\) | −35.0235 | − | 13.6741i | −1.18469 | − | 0.462534i | ||||
\(875\) | 12.5331 | + | 30.4864i | 0.423697 | + | 1.03063i | ||||
\(876\) | −0.0282358 | + | 0.00829078i | −0.000953999 | + | 0.000280119i | ||||
\(877\) | 30.5321 | − | 26.4562i | 1.03099 | − | 0.893362i | 0.0366249 | − | 0.999329i | \(-0.488339\pi\) |
0.994370 | + | 0.105967i | \(0.0337939\pi\) | |||||||
\(878\) | −18.6079 | − | 28.9544i | −0.627986 | − | 0.977165i | ||||
\(879\) | −4.16521 | − | 28.9697i | −0.140489 | − | 0.977122i | ||||
\(880\) | −11.4337 | + | 7.92357i | −0.385430 | + | 0.267104i | ||||
\(881\) | 5.52226 | − | 12.0921i | 0.186050 | − | 0.407392i | −0.793507 | − | 0.608561i | \(-0.791747\pi\) |
0.979556 | + | 0.201169i | \(0.0644742\pi\) | |||||||
\(882\) | −6.82244 | − | 5.91168i | −0.229723 | − | 0.199056i | ||||
\(883\) | −29.6115 | − | 4.25750i | −0.996508 | − | 0.143276i | −0.375284 | − | 0.926910i | \(-0.622455\pi\) |
−0.621223 | + | 0.783633i | \(0.713364\pi\) | |||||||
\(884\) | 0.0946712 | + | 0.207301i | 0.00318414 | + | 0.00697229i | ||||
\(885\) | −52.9603 | − | 42.7555i | −1.78024 | − | 1.43721i | ||||
\(886\) | −37.0772 | − | 10.8868i | −1.24563 | − | 0.365750i | ||||
\(887\) | −30.5833 | + | 13.9669i | −1.02689 | + | 0.468964i | −0.856355 | − | 0.516388i | \(-0.827276\pi\) |
−0.170533 | + | 0.985352i | \(0.554549\pi\) | |||||||
\(888\) | −1.68413 | − | 0.242141i | −0.0565156 | − | 0.00812571i | ||||
\(889\) | 12.2223 | − | 14.1053i | 0.409924 | − | 0.473077i | ||||
\(890\) | 18.0536 | − | 16.7787i | 0.605157 | − | 0.562422i | ||||
\(891\) | 7.89837 | + | 5.07598i | 0.264605 | + | 0.170052i | ||||
\(892\) | 0.352568 | − | 0.0506916i | 0.0118049 | − | 0.00169728i | ||||
\(893\) | 28.0320 | + | 43.6186i | 0.938054 | + | 1.45964i | ||||
\(894\) | 23.6756 | + | 27.3231i | 0.791830 | + | 0.913820i | ||||
\(895\) | −3.27162 | + | 30.1791i | −0.109358 | + | 1.00878i | ||||
\(896\) | 32.4010 | 1.08244 | ||||||||
\(897\) | 5.05386 | − | 58.1945i | 0.168743 | − | 1.94306i | ||||
\(898\) | 43.0705i | 1.43728i | ||||||||
\(899\) | −33.5151 | + | 9.84091i | −1.11779 | + | 0.328213i | ||||
\(900\) | 0.0514417 | − | 0.701784i | 0.00171472 | − | 0.0233928i | ||||
\(901\) | 9.55256 | − | 6.13906i | 0.318242 | − | 0.204522i | ||||
\(902\) | −14.5957 | + | 2.09854i | −0.485983 | + | 0.0698737i | ||||
\(903\) | 25.7480 | − | 40.0647i | 0.856841 | − | 1.33327i | ||||
\(904\) | 10.7756 | − | 23.5952i | 0.358390 | − | 0.784766i | ||||
\(905\) | −3.13281 | − | 6.27242i | −0.104138 | − | 0.208502i | ||||
\(906\) | 9.42637 | − | 65.5619i | 0.313170 | − | 2.17815i | ||||
\(907\) | 33.0858 | − | 15.1098i | 1.09860 | − | 0.501712i | 0.218177 | − | 0.975909i | \(-0.429989\pi\) |
0.880419 | + | 0.474197i | \(0.157262\pi\) | |||||||
\(908\) | 0.195437 | − | 0.665596i | 0.00648579 | − | 0.0220886i | ||||
\(909\) | −19.1442 | − | 5.62123i | −0.634972 | − | 0.186445i | ||||
\(910\) | −1.50080 | − | 43.0910i | −0.0497510 | − | 1.42845i | ||||
\(911\) | −4.37201 | + | 30.4080i | −0.144851 | + | 1.00746i | 0.779632 | + | 0.626238i | \(0.215406\pi\) |
−0.924483 | + | 0.381223i | \(0.875503\pi\) | |||||||
\(912\) | 43.3048 | + | 37.5238i | 1.43396 | + | 1.24254i | ||||
\(913\) | 9.77838 | + | 4.46564i | 0.323617 | + | 0.147791i | ||||
\(914\) | 10.6388 | + | 6.83711i | 0.351899 | + | 0.226152i | ||||
\(915\) | 4.79870 | − | 18.7319i | 0.158640 | − | 0.619258i | ||||
\(916\) | −0.516390 | + | 0.331863i | −0.0170620 | + | 0.0109651i | ||||
\(917\) | −10.7051 | + | 9.27601i | −0.353513 | + | 0.306321i | ||||
\(918\) | 1.09932 | + | 3.74393i | 0.0362828 | + | 0.123568i | ||||
\(919\) | −19.6529 | −0.648290 | −0.324145 | − | 0.946007i | \(-0.605077\pi\) | ||||
−0.324145 | + | 0.946007i | \(0.605077\pi\) | |||||||
\(920\) | 24.8553 | + | 17.8576i | 0.819454 | + | 0.588749i | ||||
\(921\) | 19.8363 | 0.653629 | ||||||||
\(922\) | −11.9167 | − | 40.5845i | −0.392455 | − | 1.33658i | ||||
\(923\) | −26.4002 | + | 22.8759i | −0.868974 | + | 0.752970i | ||||
\(924\) | −0.379103 | + | 0.243635i | −0.0124716 | + | 0.00801499i | ||||
\(925\) | −0.913351 | − | 0.686253i | −0.0300308 | − | 0.0225639i | ||||
\(926\) | 34.2878 | + | 22.0354i | 1.12677 | + | 0.724129i | ||||
\(927\) | −64.5769 | − | 29.4913i | −2.12098 | − | 0.968621i | ||||
\(928\) | 0.897662 | + | 0.777828i | 0.0294672 | + | 0.0255335i | ||||
\(929\) | 1.48994 | − | 10.3628i | 0.0488834 | − | 0.339991i | −0.950673 | − | 0.310196i | \(-0.899605\pi\) |
0.999556 | − | 0.0297953i | \(-0.00948555\pi\) | |||||||
\(930\) | 50.2202 | − | 1.74910i | 1.64679 | − | 0.0573553i | ||||
\(931\) | −9.08406 | − | 2.66732i | −0.297718 | − | 0.0874179i | ||||
\(932\) | 0.140645 | − | 0.478994i | 0.00460699 | − | 0.0156900i | ||||
\(933\) | −40.9582 | + | 18.7050i | −1.34091 | + | 0.612374i | ||||
\(934\) | 4.25813 | − | 29.6159i | 0.139330 | − | 0.969063i | ||||
\(935\) | −4.18872 | + | 2.09209i | −0.136986 | + | 0.0684186i | ||||
\(936\) | −21.0749 | + | 46.1477i | −0.688856 | + | 1.50838i | ||||
\(937\) | 29.6657 | − | 46.1608i | 0.969137 | − | 1.50801i | 0.111491 | − | 0.993765i | \(-0.464437\pi\) |
0.857646 | − | 0.514241i | \(-0.171926\pi\) | |||||||
\(938\) | 43.0935 | − | 6.19591i | 1.40705 | − | 0.202304i | ||||
\(939\) | −5.95316 | + | 3.82586i | −0.194274 | + | 0.124852i | ||||
\(940\) | −0.241182 | − | 0.726783i | −0.00786649 | − | 0.0237050i | ||||
\(941\) | −25.1608 | + | 7.38787i | −0.820218 | + | 0.240838i | −0.664810 | − | 0.747013i | \(-0.731487\pi\) |
−0.155408 | + | 0.987850i | \(0.549669\pi\) | |||||||
\(942\) | 82.5969i | 2.69115i | ||||||||
\(943\) | 14.8331 | + | 28.1765i | 0.483032 | + | 0.917552i | ||||
\(944\) | −45.7864 | −1.49022 | ||||||||
\(945\) | −1.49792 | + | 13.8176i | −0.0487274 | + | 0.449486i | ||||
\(946\) | 9.00410 | + | 10.3913i | 0.292749 | + | 0.337850i | ||||
\(947\) | 4.95903 | + | 7.71640i | 0.161147 | + | 0.250749i | 0.912432 | − | 0.409228i | \(-0.134202\pi\) |
−0.751285 | + | 0.659978i | \(0.770566\pi\) | |||||||
\(948\) | 0.786231 | − | 0.113043i | 0.0255356 | − | 0.00367146i | ||||
\(949\) | 1.19844 | + | 0.770189i | 0.0389029 | + | 0.0250014i | ||||
\(950\) | 13.6336 | + | 36.7516i | 0.442331 | + | 1.19238i | ||||
\(951\) | −5.00916 | + | 5.78088i | −0.162433 | + | 0.187458i | ||||
\(952\) | 11.0017 | + | 1.58180i | 0.356567 | + | 0.0512666i | ||||
\(953\) | −37.8730 | + | 17.2960i | −1.22683 | + | 0.560273i | −0.920159 | − | 0.391544i | \(-0.871941\pi\) |
−0.306667 | + | 0.951817i | \(0.599214\pi\) | |||||||
\(954\) | 44.0049 | + | 12.9210i | 1.42471 | + | 0.418333i | ||||
\(955\) | 1.94292 | − | 2.40666i | 0.0628715 | − | 0.0778776i | ||||
\(956\) | 0.0600453 | + | 0.131481i | 0.00194201 | + | 0.00425240i | ||||
\(957\) | 23.2618 | + | 3.34455i | 0.751949 | + | 0.108114i | ||||
\(958\) | −27.5564 | − | 23.8777i | −0.890305 | − | 0.771454i | ||||
\(959\) | −5.59523 | + | 12.2518i | −0.180679 | + | 0.395632i | ||||
\(960\) | −27.0588 | − | 39.0459i | −0.873320 | − | 1.26020i | ||||
\(961\) | −0.966159 | − | 6.71978i | −0.0311664 | − | 0.216767i | ||||
\(962\) | 0.807931 | + | 1.25717i | 0.0260488 | + | 0.0405327i | ||||
\(963\) | −22.3131 | + | 19.3344i | −0.719028 | + | 0.623042i | ||||
\(964\) | 0.345681 | − | 0.101501i | 0.0111336 | − | 0.00326913i | ||||
\(965\) | 5.42944 | + | 2.25458i | 0.174780 | + | 0.0725776i | ||||
\(966\) | −40.9028 | − | 31.6026i | −1.31602 | − | 1.01680i | ||||
\(967\) | 13.6682i | 0.439540i | 0.975552 | + | 0.219770i | \(0.0705308\pi\) | ||||
−0.975552 | + | 0.219770i | \(0.929469\pi\) | |||||||
\(968\) | 6.82431 | + | 23.2415i | 0.219342 | + | 0.747009i | ||||
\(969\) | 12.6297 | + | 14.5755i | 0.405725 | + | 0.468232i | ||||
\(970\) | 3.14113 | + | 17.4987i | 0.100855 | + | 0.561851i | ||||
\(971\) | 3.95275 | + | 27.4920i | 0.126850 | + | 0.882259i | 0.949512 | + | 0.313729i | \(0.101578\pi\) |
−0.822663 | + | 0.568530i | \(0.807512\pi\) | |||||||
\(972\) | −0.435166 | + | 0.677132i | −0.0139580 | + | 0.0217190i | ||||
\(973\) | −40.8050 | − | 18.6350i | −1.30815 | − | 0.597412i | ||||
\(974\) | −14.8334 | + | 17.1186i | −0.475292 | + | 0.548516i | ||||
\(975\) | −48.8178 | + | 36.4098i | −1.56342 | + | 1.16605i | ||||
\(976\) | −5.40357 | − | 11.8322i | −0.172964 | − | 0.378738i | ||||
\(977\) | 1.34028 | − | 4.56457i | 0.0428793 | − | 0.146034i | −0.935271 | − | 0.353932i | \(-0.884844\pi\) |
0.978150 | + | 0.207899i | \(0.0666625\pi\) | |||||||
\(978\) | 6.64243 | − | 22.6220i | 0.212402 | − | 0.723373i | ||||
\(979\) | 5.18025 | + | 11.3432i | 0.165561 | + | 0.362529i | ||||
\(980\) | 0.120188 | + | 0.0714547i | 0.00383926 | + | 0.00228254i | ||||
\(981\) | 14.6031 | − | 16.8529i | 0.466242 | − | 0.538072i | ||||
\(982\) | 21.6441 | + | 9.88451i | 0.690690 | + | 0.315428i | ||||
\(983\) | −19.9889 | + | 31.1033i | −0.637545 | + | 0.992040i | 0.360692 | + | 0.932685i | \(0.382541\pi\) |
−0.998237 | + | 0.0593548i | \(0.981096\pi\) | |||||||
\(984\) | −7.03636 | − | 48.9390i | −0.224311 | − | 1.56012i | ||||
\(985\) | 30.7687 | − | 5.52317i | 0.980374 | − | 0.175983i | ||||
\(986\) | −6.88694 | − | 7.94795i | −0.219325 | − | 0.253114i | ||||
\(987\) | 20.0823 | + | 68.3939i | 0.639225 | + | 2.17700i | ||||
\(988\) | 0.965336i | 0.0307114i | ||||||||
\(989\) | 14.6247 | − | 25.8397i | 0.465037 | − | 0.821656i | ||||
\(990\) | −17.4648 | − | 7.25229i | −0.555069 | − | 0.230493i | ||||
\(991\) | 32.7309 | − | 9.61067i | 1.03973 | − | 0.305293i | 0.283070 | − | 0.959099i | \(-0.408647\pi\) |
0.756662 | + | 0.653806i | \(0.226829\pi\) | |||||||
\(992\) | −0.971132 | + | 0.841491i | −0.0308335 | + | 0.0267174i | ||||
\(993\) | −11.8943 | − | 18.5080i | −0.377456 | − | 0.587332i | ||||
\(994\) | 4.39911 | + | 30.5965i | 0.139531 | + | 0.970461i | ||||
\(995\) | 24.9421 | − | 17.2849i | 0.790718 | − | 0.547968i | ||||
\(996\) | −0.271664 | + | 0.594860i | −0.00860799 | + | 0.0188489i | ||||
\(997\) | 23.7667 | + | 20.5939i | 0.752698 | + | 0.652217i | 0.944236 | − | 0.329268i | \(-0.106802\pi\) |
−0.191538 | + | 0.981485i | \(0.561348\pi\) | |||||||
\(998\) | 28.5483 | + | 4.10463i | 0.903681 | + | 0.129930i | ||||
\(999\) | −0.200109 | − | 0.438179i | −0.00633118 | − | 0.0138634i |
(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 | 115.2.j.a.9.3 | ✓ | 100 | |
5.2 | odd | 4 | 575.2.k.g.101.8 | 100 | |||
5.3 | odd | 4 | 575.2.k.g.101.3 | 100 | |||
5.4 | even | 2 | inner | 115.2.j.a.9.8 | yes | 100 | |
23.18 | even | 11 | inner | 115.2.j.a.64.8 | yes | 100 | |
115.18 | odd | 44 | 575.2.k.g.501.3 | 100 | |||
115.64 | even | 22 | inner | 115.2.j.a.64.3 | yes | 100 | |
115.87 | odd | 44 | 575.2.k.g.501.8 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.j.a.9.3 | ✓ | 100 | 1.1 | even | 1 | trivial | |
115.2.j.a.9.8 | yes | 100 | 5.4 | even | 2 | inner | |
115.2.j.a.64.3 | yes | 100 | 115.64 | even | 22 | inner | |
115.2.j.a.64.8 | yes | 100 | 23.18 | even | 11 | inner | |
575.2.k.g.101.3 | 100 | 5.3 | odd | 4 | |||
575.2.k.g.101.8 | 100 | 5.2 | odd | 4 | |||
575.2.k.g.501.3 | 100 | 115.18 | odd | 44 | |||
575.2.k.g.501.8 | 100 | 115.87 | odd | 44 |