Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(193,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.y (of order \(21\), degree \(12\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 583.22 | ||
Character | \(\chi\) | \(=\) | 882.583 |
Dual form | 882.2.y.a.823.22 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.365341 | + | 0.930874i | −0.258335 | + | 0.658227i | ||||
\(3\) | 1.25517 | − | 1.19354i | 0.724673 | − | 0.689093i | ||||
\(4\) | −0.733052 | − | 0.680173i | −0.366526 | − | 0.340086i | ||||
\(5\) | 0.269855 | − | 0.129955i | 0.120683 | − | 0.0581178i | −0.372568 | − | 0.928005i | \(-0.621523\pi\) |
0.493251 | + | 0.869887i | \(0.335808\pi\) | |||||||
\(6\) | 0.652473 | + | 1.60446i | 0.266371 | + | 0.655016i | ||||
\(7\) | −0.251712 | − | 2.63375i | −0.0951383 | − | 0.995464i | ||||
\(8\) | 0.900969 | − | 0.433884i | 0.318541 | − | 0.153401i | ||||
\(9\) | 0.150906 | − | 2.99620i | 0.0503021 | − | 0.998734i | ||||
\(10\) | 0.0223829 | + | 0.298679i | 0.00707809 | + | 0.0944506i | ||||
\(11\) | −3.11450 | − | 3.90546i | −0.939058 | − | 1.17754i | −0.983931 | − | 0.178549i | \(-0.942860\pi\) |
0.0448726 | − | 0.998993i | \(-0.485712\pi\) | |||||||
\(12\) | −1.73192 | + | 0.0211968i | −0.499963 | + | 0.00611898i | ||||
\(13\) | −1.16485 | + | 2.96799i | −0.323071 | + | 0.823172i | 0.673403 | + | 0.739275i | \(0.264832\pi\) |
−0.996474 | + | 0.0838967i | \(0.973263\pi\) | |||||||
\(14\) | 2.54365 | + | 0.727905i | 0.679819 | + | 0.194541i | ||||
\(15\) | 0.183607 | − | 0.485200i | 0.0474070 | − | 0.125278i | ||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | −5.38820 | + | 4.99952i | −1.30683 | + | 1.21256i | −0.345099 | + | 0.938566i | \(0.612155\pi\) |
−0.961731 | + | 0.273995i | \(0.911655\pi\) | |||||||
\(18\) | 2.73395 | + | 1.23511i | 0.644399 | + | 0.291118i | ||||
\(19\) | 3.25398 | − | 5.63607i | 0.746515 | − | 1.29300i | −0.202968 | − | 0.979185i | \(-0.565059\pi\) |
0.949484 | − | 0.313817i | \(-0.101608\pi\) | |||||||
\(20\) | −0.286210 | − | 0.0882840i | −0.0639984 | − | 0.0197409i | ||||
\(21\) | −3.45944 | − | 3.00538i | −0.754911 | − | 0.655827i | ||||
\(22\) | 4.77335 | − | 1.47238i | 1.01768 | − | 0.313913i | ||||
\(23\) | 1.29577 | − | 5.67715i | 0.270187 | − | 1.18377i | −0.639605 | − | 0.768704i | \(-0.720902\pi\) |
0.909792 | − | 0.415064i | \(-0.136241\pi\) | |||||||
\(24\) | 0.613010 | − | 1.61994i | 0.125130 | − | 0.330670i | ||||
\(25\) | −3.06152 | + | 3.83902i | −0.612303 | + | 0.767804i | ||||
\(26\) | −2.33726 | − | 2.16866i | −0.458374 | − | 0.425309i | ||||
\(27\) | −3.38669 | − | 3.94086i | −0.651768 | − | 0.758418i | ||||
\(28\) | −1.60689 | + | 2.10188i | −0.303673 | + | 0.397219i | ||||
\(29\) | −4.64005 | − | 1.43126i | −0.861635 | − | 0.265779i | −0.167719 | − | 0.985835i | \(-0.553640\pi\) |
−0.693916 | + | 0.720056i | \(0.744116\pi\) | |||||||
\(30\) | 0.384581 | + | 0.348178i | 0.0702145 | + | 0.0635683i | ||||
\(31\) | −3.85459 | + | 6.67635i | −0.692305 | + | 1.19911i | 0.278775 | + | 0.960356i | \(0.410072\pi\) |
−0.971081 | + | 0.238752i | \(0.923262\pi\) | |||||||
\(32\) | −0.955573 | − | 0.294755i | −0.168923 | − | 0.0521058i | ||||
\(33\) | −8.57058 | − | 1.18473i | −1.49195 | − | 0.206235i | ||||
\(34\) | −2.68539 | − | 6.84226i | −0.460541 | − | 1.17344i | ||||
\(35\) | −0.410196 | − | 0.678019i | −0.0693357 | − | 0.114606i | ||||
\(36\) | −2.14856 | + | 2.09373i | −0.358093 | + | 0.348955i | ||||
\(37\) | 3.64620 | + | 1.12470i | 0.599432 | + | 0.184900i | 0.579597 | − | 0.814903i | \(-0.303210\pi\) |
0.0198344 | + | 0.999803i | \(0.493686\pi\) | |||||||
\(38\) | 4.05765 | + | 5.08813i | 0.658238 | + | 0.825404i | ||||
\(39\) | 2.08034 | + | 5.11563i | 0.333121 | + | 0.819157i | ||||
\(40\) | 0.186745 | − | 0.234171i | 0.0295270 | − | 0.0370257i | ||||
\(41\) | 0.926930 | + | 0.631970i | 0.144762 | + | 0.0986971i | 0.633535 | − | 0.773714i | \(-0.281603\pi\) |
−0.488773 | + | 0.872411i | \(0.662555\pi\) | |||||||
\(42\) | 4.06150 | − | 2.12231i | 0.626703 | − | 0.327480i | ||||
\(43\) | 7.32178 | − | 4.99190i | 1.11656 | − | 0.761258i | 0.143008 | − | 0.989722i | \(-0.454323\pi\) |
0.973552 | + | 0.228464i | \(0.0733702\pi\) | |||||||
\(44\) | −0.373298 | + | 4.98131i | −0.0562767 | + | 0.750961i | ||||
\(45\) | −0.348650 | − | 0.828151i | −0.0519736 | − | 0.123453i | ||||
\(46\) | 4.81131 | + | 3.28030i | 0.709389 | + | 0.483653i | ||||
\(47\) | 1.77435 | − | 4.52097i | 0.258815 | − | 0.659451i | −0.741113 | − | 0.671380i | \(-0.765702\pi\) |
0.999929 | + | 0.0119288i | \(0.00379716\pi\) | |||||||
\(48\) | 1.28401 | + | 1.16247i | 0.185330 | + | 0.167788i | ||||
\(49\) | −6.87328 | + | 1.32589i | −0.981897 | + | 0.189413i | ||||
\(50\) | −2.45514 | − | 4.25244i | −0.347210 | − | 0.601385i | ||||
\(51\) | −0.795965 | + | 12.7063i | −0.111457 | + | 1.77924i | ||||
\(52\) | 2.87264 | − | 1.38339i | 0.398364 | − | 0.191842i | ||||
\(53\) | 2.76027 | − | 0.851431i | 0.379153 | − | 0.116953i | −0.0993201 | − | 0.995056i | \(-0.531667\pi\) |
0.478473 | + | 0.878102i | \(0.341191\pi\) | |||||||
\(54\) | 4.90574 | − | 1.71282i | 0.667586 | − | 0.233085i | ||||
\(55\) | −1.34800 | − | 0.649163i | −0.181764 | − | 0.0875331i | ||||
\(56\) | −1.36953 | − | 2.26371i | −0.183011 | − | 0.302501i | ||||
\(57\) | −2.64259 | − | 10.9580i | −0.350019 | − | 1.45142i | ||||
\(58\) | 3.02753 | − | 3.79640i | 0.397534 | − | 0.498491i | ||||
\(59\) | −5.15130 | + | 3.51210i | −0.670643 | + | 0.457236i | −0.850164 | − | 0.526518i | \(-0.823497\pi\) |
0.179522 | + | 0.983754i | \(0.442545\pi\) | |||||||
\(60\) | −0.464613 | + | 0.230792i | −0.0599813 | + | 0.0297952i | ||||
\(61\) | 10.4255 | − | 9.67341i | 1.33484 | − | 1.23855i | 0.386119 | − | 0.922449i | \(-0.373815\pi\) |
0.948724 | − | 0.316104i | \(-0.102375\pi\) | |||||||
\(62\) | −4.80660 | − | 6.02728i | −0.610439 | − | 0.765466i | ||||
\(63\) | −7.92923 | + | 0.356731i | −0.998990 | + | 0.0449439i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.0779362 | − | 0.0977289i | ||||
\(65\) | 0.0713654 | + | 0.952305i | 0.00885179 | + | 0.118119i | ||||
\(66\) | 4.23401 | − | 7.54530i | 0.521171 | − | 0.928762i | ||||
\(67\) | 5.32738 | − | 9.22729i | 0.650843 | − | 1.12729i | −0.332075 | − | 0.943253i | \(-0.607749\pi\) |
0.982919 | − | 0.184041i | \(-0.0589178\pi\) | |||||||
\(68\) | 7.35037 | 0.891363 | ||||||||
\(69\) | −5.14951 | − | 8.67235i | −0.619928 | − | 1.04403i | ||||
\(70\) | 0.781012 | − | 0.134132i | 0.0933487 | − | 0.0160318i | ||||
\(71\) | −1.05524 | + | 4.62332i | −0.125234 | + | 0.548687i | 0.872915 | + | 0.487873i | \(0.162227\pi\) |
−0.998149 | + | 0.0608144i | \(0.980630\pi\) | |||||||
\(72\) | −1.16404 | − | 2.76496i | −0.137184 | − | 0.325854i | ||||
\(73\) | 5.50272 | + | 0.829402i | 0.644045 | + | 0.0970742i | 0.462940 | − | 0.886390i | \(-0.346795\pi\) |
0.181105 | + | 0.983464i | \(0.442033\pi\) | |||||||
\(74\) | −2.37906 | + | 2.98325i | −0.276561 | + | 0.346796i | ||||
\(75\) | 0.739313 | + | 8.47268i | 0.0853686 | + | 0.978340i | ||||
\(76\) | −6.21884 | + | 1.91826i | −0.713350 | + | 0.220039i | ||||
\(77\) | −9.50206 | + | 9.18588i | −1.08286 | + | 1.04683i | ||||
\(78\) | −5.52204 | + | 0.0675835i | −0.625248 | + | 0.00765233i | ||||
\(79\) | −0.810768 | − | 1.40429i | −0.0912185 | − | 0.157995i | 0.816806 | − | 0.576913i | \(-0.195743\pi\) |
−0.908024 | + | 0.418918i | \(0.862409\pi\) | |||||||
\(80\) | 0.149758 | + | 0.259389i | 0.0167435 | + | 0.0290006i | ||||
\(81\) | −8.95445 | − | 0.904291i | −0.994939 | − | 0.100477i | ||||
\(82\) | −0.926930 | + | 0.631970i | −0.102362 | + | 0.0697894i | ||||
\(83\) | 1.73891 | + | 4.43067i | 0.190870 | + | 0.486329i | 0.993988 | − | 0.109491i | \(-0.0349222\pi\) |
−0.803118 | + | 0.595821i | \(0.796827\pi\) | |||||||
\(84\) | 0.491773 | + | 4.55611i | 0.0536568 | + | 0.497113i | ||||
\(85\) | −0.804318 | + | 2.04937i | −0.0872406 | + | 0.222285i | ||||
\(86\) | 1.97189 | + | 8.63940i | 0.212634 | + | 0.931610i | ||||
\(87\) | −7.53233 | + | 3.74162i | −0.807550 | + | 0.401143i | ||||
\(88\) | −4.50059 | − | 2.16737i | −0.479764 | − | 0.231042i | ||||
\(89\) | −2.49229 | − | 6.35024i | −0.264182 | − | 0.673124i | 0.735810 | − | 0.677188i | \(-0.236802\pi\) |
−0.999992 | + | 0.00406373i | \(0.998706\pi\) | |||||||
\(90\) | 0.898280 | − | 0.0219912i | 0.0946870 | − | 0.00231807i | ||||
\(91\) | 8.11015 | + | 2.32084i | 0.850175 | + | 0.243291i | ||||
\(92\) | −4.81131 | + | 3.28030i | −0.501614 | + | 0.341995i | ||||
\(93\) | 3.13035 | + | 12.9806i | 0.324602 | + | 1.34602i | ||||
\(94\) | 3.56021 | + | 3.30339i | 0.367207 | + | 0.340719i | ||||
\(95\) | 0.145667 | − | 1.94379i | 0.0149451 | − | 0.199429i | ||||
\(96\) | −1.55121 | + | 0.770550i | −0.158320 | + | 0.0786439i | ||||
\(97\) | 6.84584 | − | 11.8573i | 0.695090 | − | 1.20393i | −0.275061 | − | 0.961427i | \(-0.588698\pi\) |
0.970150 | − | 0.242504i | \(-0.0779687\pi\) | |||||||
\(98\) | 1.27685 | − | 6.88256i | 0.128982 | − | 0.695244i | ||||
\(99\) | −12.1716 | + | 8.74233i | −1.22329 | + | 0.878637i | ||||
\(100\) | 4.85545 | − | 0.731841i | 0.485545 | − | 0.0731841i | ||||
\(101\) | 8.54803 | − | 4.11651i | 0.850561 | − | 0.409608i | 0.0427749 | − | 0.999085i | \(-0.486380\pi\) |
0.807786 | + | 0.589476i | \(0.200666\pi\) | |||||||
\(102\) | −11.5372 | − | 5.38308i | −1.14235 | − | 0.533004i | ||||
\(103\) | 5.62062 | − | 2.70675i | 0.553817 | − | 0.266704i | −0.135975 | − | 0.990712i | \(-0.543417\pi\) |
0.689791 | + | 0.724008i | \(0.257702\pi\) | |||||||
\(104\) | 0.238269 | + | 3.17948i | 0.0233642 | + | 0.311773i | ||||
\(105\) | −1.32411 | − | 0.361443i | −0.129220 | − | 0.0352733i | ||||
\(106\) | −0.215866 | + | 2.88053i | −0.0209667 | + | 0.279782i | ||||
\(107\) | −6.00442 | − | 15.2990i | −0.580469 | − | 1.47901i | −0.855617 | − | 0.517610i | \(-0.826822\pi\) |
0.275147 | − | 0.961402i | \(-0.411273\pi\) | |||||||
\(108\) | −0.197848 | + | 5.19238i | −0.0190379 | + | 0.499637i | ||||
\(109\) | 1.49165 | − | 3.80067i | 0.142875 | − | 0.364039i | −0.841467 | − | 0.540308i | \(-0.818308\pi\) |
0.984342 | + | 0.176269i | \(0.0564030\pi\) | |||||||
\(110\) | 1.09677 | − | 1.01765i | 0.104573 | − | 0.0970293i | ||||
\(111\) | 5.91899 | − | 2.94020i | 0.561805 | − | 0.279072i | ||||
\(112\) | 2.60758 | − | 0.447829i | 0.246393 | − | 0.0423158i | ||||
\(113\) | 2.17636 | + | 0.328034i | 0.204735 | + | 0.0308588i | 0.250609 | − | 0.968088i | \(-0.419369\pi\) |
−0.0458739 | + | 0.998947i | \(0.514607\pi\) | |||||||
\(114\) | 11.1660 | + | 1.54349i | 1.04579 | + | 0.144561i | ||||
\(115\) | −0.388105 | − | 1.70040i | −0.0361910 | − | 0.158563i | ||||
\(116\) | 2.42789 | + | 4.20522i | 0.225424 | + | 0.390445i | ||||
\(117\) | 8.71691 | + | 3.93801i | 0.805879 | + | 0.364070i | ||||
\(118\) | −1.38734 | − | 6.07833i | −0.127715 | − | 0.559555i | ||||
\(119\) | 14.5238 | + | 12.9327i | 1.33139 | + | 1.18554i | ||||
\(120\) | −0.0450964 | − | 0.516814i | −0.00411672 | − | 0.0471784i | ||||
\(121\) | −3.10479 | + | 13.6030i | −0.282253 | + | 1.23663i | ||||
\(122\) | 5.19588 | + | 13.2389i | 0.470413 | + | 1.19859i | ||||
\(123\) | 1.91774 | − | 0.313101i | 0.172917 | − | 0.0282314i | ||||
\(124\) | 7.36669 | − | 2.27232i | 0.661548 | − | 0.204061i | ||||
\(125\) | −0.660508 | + | 2.89387i | −0.0590776 | + | 0.258836i | ||||
\(126\) | 2.56480 | − | 7.51144i | 0.228491 | − | 0.669173i | ||||
\(127\) | −4.11431 | − | 18.0260i | −0.365086 | − | 1.59955i | −0.740080 | − | 0.672519i | \(-0.765212\pi\) |
0.374994 | − | 0.927027i | \(-0.377645\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 3.23202 | − | 15.0045i | 0.284564 | − | 1.32108i | ||||
\(130\) | −0.912548 | − | 0.281484i | −0.0800358 | − | 0.0246878i | ||||
\(131\) | −4.79196 | − | 2.30768i | −0.418675 | − | 0.201623i | 0.212672 | − | 0.977124i | \(-0.431783\pi\) |
−0.631347 | + | 0.775500i | \(0.717498\pi\) | |||||||
\(132\) | 5.47686 | + | 6.69794i | 0.476699 | + | 0.582981i | ||||
\(133\) | −15.6631 | − | 7.15151i | −1.35816 | − | 0.620115i | ||||
\(134\) | 6.64314 | + | 8.33023i | 0.573880 | + | 0.719622i | ||||
\(135\) | −1.42605 | − | 0.623342i | −0.122735 | − | 0.0536488i | ||||
\(136\) | −2.68539 | + | 6.84226i | −0.230270 | + | 0.586719i | ||||
\(137\) | 6.96013 | + | 3.35182i | 0.594644 | + | 0.286366i | 0.706900 | − | 0.707314i | \(-0.250093\pi\) |
−0.112256 | + | 0.993679i | \(0.535808\pi\) | |||||||
\(138\) | 9.95419 | − | 1.62518i | 0.847357 | − | 0.138344i | ||||
\(139\) | 16.2462 | + | 11.0764i | 1.37798 | + | 0.939492i | 0.999906 | + | 0.0137170i | \(0.00436638\pi\) |
0.378075 | + | 0.925775i | \(0.376586\pi\) | |||||||
\(140\) | −0.160476 | + | 0.776027i | −0.0135627 | + | 0.0655863i | ||||
\(141\) | −3.16886 | − | 7.79235i | −0.266866 | − | 0.656234i | ||||
\(142\) | −3.91820 | − | 2.67138i | −0.328808 | − | 0.224178i | ||||
\(143\) | 15.2193 | − | 4.69453i | 1.27270 | − | 0.392577i | ||||
\(144\) | 2.99910 | − | 0.0734222i | 0.249925 | − | 0.00611852i | ||||
\(145\) | −1.43814 | + | 0.216765i | −0.119431 | + | 0.0180013i | ||||
\(146\) | −2.78244 | + | 4.81933i | −0.230276 | + | 0.398850i | ||||
\(147\) | −7.04463 | + | 9.86779i | −0.581031 | + | 0.813881i | ||||
\(148\) | −1.90786 | − | 3.30451i | −0.156825 | − | 0.271629i | ||||
\(149\) | 14.8286 | + | 18.5945i | 1.21481 | + | 1.52332i | 0.783849 | + | 0.620951i | \(0.213253\pi\) |
0.430960 | + | 0.902371i | \(0.358175\pi\) | |||||||
\(150\) | −8.15709 | − | 2.40721i | −0.666024 | − | 0.196548i | ||||
\(151\) | 0.221138 | − | 0.968868i | 0.0179959 | − | 0.0788454i | −0.965133 | − | 0.261762i | \(-0.915697\pi\) |
0.983128 | + | 0.182916i | \(0.0585537\pi\) | |||||||
\(152\) | 0.486341 | − | 6.48977i | 0.0394475 | − | 0.526390i | ||||
\(153\) | 14.1665 | + | 16.8986i | 1.14529 | + | 1.36617i | ||||
\(154\) | −5.07940 | − | 12.2012i | −0.409310 | − | 0.983201i | ||||
\(155\) | −0.172554 | + | 2.30257i | −0.0138599 | + | 0.184947i | ||||
\(156\) | 1.95452 | − | 5.16501i | 0.156487 | − | 0.413532i | ||||
\(157\) | 3.40835 | − | 2.32377i | 0.272016 | − | 0.185457i | −0.419628 | − | 0.907696i | \(-0.637839\pi\) |
0.691643 | + | 0.722239i | \(0.256887\pi\) | |||||||
\(158\) | 1.60342 | − | 0.241677i | 0.127562 | − | 0.0192268i | ||||
\(159\) | 2.44839 | − | 4.36320i | 0.194170 | − | 0.346024i | ||||
\(160\) | −0.296171 | + | 0.0446406i | −0.0234144 | + | 0.00352915i | ||||
\(161\) | −15.2784 | − | 1.98373i | −1.20410 | − | 0.156340i | ||||
\(162\) | 4.11321 | − | 8.00509i | 0.323164 | − | 0.628939i | ||||
\(163\) | −17.0224 | + | 11.6057i | −1.33330 | + | 0.909026i | −0.999435 | − | 0.0335959i | \(-0.989304\pi\) |
−0.333861 | + | 0.942622i | \(0.608352\pi\) | |||||||
\(164\) | −0.249639 | − | 1.09374i | −0.0194935 | − | 0.0854067i | ||||
\(165\) | −2.46677 | + | 0.794087i | −0.192038 | + | 0.0618196i | ||||
\(166\) | −4.75969 | −0.369424 | ||||||||
\(167\) | −6.38229 | + | 5.92190i | −0.493877 | + | 0.458251i | −0.887357 | − | 0.461082i | \(-0.847461\pi\) |
0.393481 | + | 0.919333i | \(0.371271\pi\) | |||||||
\(168\) | −4.42083 | − | 1.20676i | −0.341074 | − | 0.0931033i | ||||
\(169\) | 2.07759 | + | 1.92772i | 0.159815 | + | 0.148286i | ||||
\(170\) | −1.61385 | − | 1.49744i | −0.123777 | − | 0.114848i | ||||
\(171\) | −16.3957 | − | 10.6001i | −1.25381 | − | 0.810611i | ||||
\(172\) | −8.76260 | − | 1.32075i | −0.668142 | − | 0.100706i | ||||
\(173\) | 2.98345 | − | 0.920272i | 0.226827 | − | 0.0699670i | −0.179258 | − | 0.983802i | \(-0.557370\pi\) |
0.406085 | + | 0.913835i | \(0.366894\pi\) | |||||||
\(174\) | −0.731105 | − | 8.37861i | −0.0554250 | − | 0.635181i | ||||
\(175\) | 10.8816 | + | 7.09694i | 0.822575 | + | 0.536478i | ||||
\(176\) | 3.66180 | − | 3.39765i | 0.276018 | − | 0.256108i | ||||
\(177\) | −2.27392 | + | 10.5566i | −0.170918 | + | 0.793482i | ||||
\(178\) | 6.82181 | 0.511316 | ||||||||
\(179\) | −6.92369 | + | 6.42424i | −0.517501 | + | 0.480170i | −0.895142 | − | 0.445782i | \(-0.852926\pi\) |
0.377641 | + | 0.925952i | \(0.376735\pi\) | |||||||
\(180\) | −0.307708 | + | 0.844220i | −0.0229352 | + | 0.0629244i | ||||
\(181\) | 3.15785 | − | 3.95982i | 0.234721 | − | 0.294331i | −0.650495 | − | 0.759510i | \(-0.725439\pi\) |
0.885217 | + | 0.465179i | \(0.154010\pi\) | |||||||
\(182\) | −5.12338 | + | 6.70163i | −0.379770 | + | 0.496758i | ||||
\(183\) | 1.54009 | − | 24.5850i | 0.113847 | − | 1.81738i | ||||
\(184\) | −1.29577 | − | 5.67715i | −0.0955256 | − | 0.418525i | ||||
\(185\) | 1.13011 | − | 0.170336i | 0.0830871 | − | 0.0125234i | ||||
\(186\) | −13.2269 | − | 1.82838i | −0.969846 | − | 0.134064i | ||||
\(187\) | 36.3070 | + | 5.47240i | 2.65503 | + | 0.400182i | ||||
\(188\) | −4.37573 | + | 2.10724i | −0.319133 | + | 0.153686i | ||||
\(189\) | −9.52677 | + | 9.91165i | −0.692970 | + | 0.720966i | ||||
\(190\) | 1.75621 | + | 0.845745i | 0.127409 | + | 0.0613568i | ||||
\(191\) | 6.58488 | + | 4.48949i | 0.476465 | + | 0.324848i | 0.777628 | − | 0.628724i | \(-0.216423\pi\) |
−0.301163 | + | 0.953573i | \(0.597375\pi\) | |||||||
\(192\) | −0.150564 | − | 1.72549i | −0.0108660 | − | 0.124527i | ||||
\(193\) | −1.49376 | + | 19.9328i | −0.107523 | + | 1.43480i | 0.638882 | + | 0.769305i | \(0.279397\pi\) |
−0.746405 | + | 0.665492i | \(0.768222\pi\) | |||||||
\(194\) | 8.53662 | + | 10.7046i | 0.612894 | + | 0.768545i | ||||
\(195\) | 1.22619 | + | 1.11013i | 0.0878095 | + | 0.0794979i | ||||
\(196\) | 5.94031 | + | 3.70307i | 0.424308 | + | 0.264505i | ||||
\(197\) | −8.48791 | −0.604738 | −0.302369 | − | 0.953191i | \(-0.597778\pi\) | ||||
−0.302369 | + | 0.953191i | \(0.597778\pi\) | |||||||
\(198\) | −3.69123 | − | 14.5241i | −0.262324 | − | 1.03218i | ||||
\(199\) | 10.2105 | + | 6.96137i | 0.723800 | + | 0.493478i | 0.868308 | − | 0.496025i | \(-0.165208\pi\) |
−0.144508 | + | 0.989504i | \(0.546160\pi\) | |||||||
\(200\) | −1.09264 | + | 4.78718i | −0.0772615 | + | 0.338505i | ||||
\(201\) | −4.32641 | − | 17.9403i | −0.305161 | − | 1.26541i | ||||
\(202\) | 0.709009 | + | 9.46107i | 0.0498857 | + | 0.665678i | ||||
\(203\) | −2.60164 | + | 12.5810i | −0.182599 | + | 0.883012i | ||||
\(204\) | 9.22596 | − | 8.77298i | 0.645947 | − | 0.614232i | ||||
\(205\) | 0.332264 | + | 0.0500808i | 0.0232064 | + | 0.00349779i | ||||
\(206\) | 0.466198 | + | 6.22098i | 0.0324815 | + | 0.433436i | ||||
\(207\) | −16.8143 | − | 4.73911i | −1.16868 | − | 0.329391i | ||||
\(208\) | −3.04674 | − | 0.939795i | −0.211253 | − | 0.0651630i | ||||
\(209\) | −32.1460 | + | 4.84523i | −2.22359 | + | 0.335152i | ||||
\(210\) | 0.820210 | − | 1.10053i | 0.0565999 | − | 0.0759438i | ||||
\(211\) | −12.1635 | − | 1.83335i | −0.837370 | − | 0.126213i | −0.283662 | − | 0.958924i | \(-0.591549\pi\) |
−0.553708 | + | 0.832711i | \(0.686787\pi\) | |||||||
\(212\) | −2.60254 | − | 1.25332i | −0.178743 | − | 0.0860783i | ||||
\(213\) | 4.19362 | + | 7.06253i | 0.287342 | + | 0.483917i | ||||
\(214\) | 16.4351 | 1.12348 | ||||||||
\(215\) | 1.32709 | − | 2.29859i | 0.0905070 | − | 0.156763i | ||||
\(216\) | −4.76117 | − | 2.08116i | −0.323957 | − | 0.141605i | ||||
\(217\) | 18.5541 | + | 8.47152i | 1.25953 | + | 0.575084i | ||||
\(218\) | 2.99298 | + | 2.77708i | 0.202711 | + | 0.188088i | ||||
\(219\) | 7.89678 | − | 5.52670i | 0.533615 | − | 0.373460i | ||||
\(220\) | 0.546611 | + | 1.39274i | 0.0368525 | + | 0.0938987i | ||||
\(221\) | −8.56207 | − | 21.8158i | −0.575947 | − | 1.46749i | ||||
\(222\) | 0.574511 | + | 6.58401i | 0.0385586 | + | 0.441890i | ||||
\(223\) | 9.60267 | + | 8.90998i | 0.643042 | + | 0.596656i | 0.932778 | − | 0.360450i | \(-0.117377\pi\) |
−0.289736 | + | 0.957107i | \(0.593567\pi\) | |||||||
\(224\) | −0.535782 | + | 2.59093i | −0.0357985 | + | 0.173114i | ||||
\(225\) | 11.0405 | + | 9.75225i | 0.736032 | + | 0.650150i | ||||
\(226\) | −1.10047 | + | 1.90608i | −0.0732024 | + | 0.126790i | ||||
\(227\) | −16.6785 | −1.10699 | −0.553495 | − | 0.832852i | \(-0.686706\pi\) | ||||
−0.553495 | + | 0.832852i | \(0.686706\pi\) | |||||||
\(228\) | −5.51618 | + | 9.83019i | −0.365318 | + | 0.651021i | ||||
\(229\) | −4.20999 | − | 2.02742i | −0.278204 | − | 0.133976i | 0.289579 | − | 0.957154i | \(-0.406485\pi\) |
−0.567783 | + | 0.823178i | \(0.692199\pi\) | |||||||
\(230\) | 1.72465 | + | 0.259949i | 0.113720 | + | 0.0171405i | ||||
\(231\) | −0.962957 | + | 22.8710i | −0.0633579 | + | 1.50480i | ||||
\(232\) | −4.80154 | + | 0.723716i | −0.315237 | + | 0.0475143i | ||||
\(233\) | −2.25240 | − | 0.694774i | −0.147560 | − | 0.0455162i | 0.220095 | − | 0.975478i | \(-0.429363\pi\) |
−0.367655 | + | 0.929962i | \(0.619839\pi\) | |||||||
\(234\) | −6.85044 | + | 6.67563i | −0.447827 | + | 0.436399i | ||||
\(235\) | −0.108707 | − | 1.45059i | −0.00709125 | − | 0.0946262i | ||||
\(236\) | 6.16501 | + | 0.929225i | 0.401308 | + | 0.0604874i | ||||
\(237\) | −2.69373 | − | 0.794938i | −0.174977 | − | 0.0516367i | ||||
\(238\) | −17.3449 | + | 8.79493i | −1.12430 | + | 0.570091i | ||||
\(239\) | −1.51855 | − | 20.2637i | −0.0982270 | − | 1.31075i | −0.800712 | − | 0.599050i | \(-0.795545\pi\) |
0.702485 | − | 0.711699i | \(-0.252074\pi\) | |||||||
\(240\) | 0.497564 | + | 0.146834i | 0.0321176 | + | 0.00947811i | ||||
\(241\) | −0.568680 | + | 2.49155i | −0.0366319 | + | 0.160495i | −0.989936 | − | 0.141518i | \(-0.954802\pi\) |
0.953304 | + | 0.302013i | \(0.0976587\pi\) | |||||||
\(242\) | −11.5283 | − | 7.85989i | −0.741070 | − | 0.505253i | ||||
\(243\) | −12.3187 | + | 9.55249i | −0.790244 | + | 0.612793i | ||||
\(244\) | −14.2220 | −0.910470 | ||||||||
\(245\) | −1.68248 | + | 1.25102i | −0.107490 | + | 0.0799246i | ||||
\(246\) | −0.409171 | + | 1.89956i | −0.0260878 | + | 0.121112i | ||||
\(247\) | 12.9374 | + | 16.2230i | 0.823186 | + | 1.03224i | ||||
\(248\) | −0.576108 | + | 7.68763i | −0.0365829 | + | 0.488165i | ||||
\(249\) | 7.47083 | + | 3.48578i | 0.473445 | + | 0.220902i | ||||
\(250\) | −2.45252 | − | 1.67210i | −0.155111 | − | 0.105753i | ||||
\(251\) | 5.19174 | + | 2.50021i | 0.327700 | + | 0.157812i | 0.590498 | − | 0.807039i | \(-0.298931\pi\) |
−0.262799 | + | 0.964851i | \(0.584646\pi\) | |||||||
\(252\) | 6.05518 | + | 5.13175i | 0.381440 | + | 0.323270i | ||||
\(253\) | −26.2076 | + | 12.6209i | −1.64766 | + | 0.793470i | ||||
\(254\) | 18.2830 | + | 2.75572i | 1.14718 | + | 0.172909i | ||||
\(255\) | 1.43646 | + | 3.53230i | 0.0899544 | + | 0.221201i | ||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | 6.37430 | + | 27.9276i | 0.397618 | + | 1.74208i | 0.636730 | + | 0.771087i | \(0.280286\pi\) |
−0.239112 | + | 0.970992i | \(0.576856\pi\) | |||||||
\(258\) | 12.7866 | + | 8.49038i | 0.796056 | + | 0.528588i | ||||
\(259\) | 2.04440 | − | 9.88628i | 0.127033 | − | 0.614304i | ||||
\(260\) | 0.595417 | − | 0.746630i | 0.0369262 | − | 0.0463040i | ||||
\(261\) | −4.98857 | + | 13.6865i | −0.308785 | + | 0.847175i | ||||
\(262\) | 3.89886 | − | 3.61761i | 0.240872 | − | 0.223497i | ||||
\(263\) | −13.4728 | −0.830768 | −0.415384 | − | 0.909646i | \(-0.636353\pi\) | ||||
−0.415384 | + | 0.909646i | \(0.636353\pi\) | |||||||
\(264\) | −8.23586 | + | 2.65123i | −0.506882 | + | 0.163172i | ||||
\(265\) | 0.634225 | − | 0.588475i | 0.0389601 | − | 0.0361497i | ||||
\(266\) | 12.3795 | − | 11.9676i | 0.759037 | − | 0.733780i | ||||
\(267\) | −10.7075 | − | 4.99598i | −0.655291 | − | 0.305749i | ||||
\(268\) | −10.1814 | + | 3.14055i | −0.621928 | + | 0.191839i | ||||
\(269\) | 10.9074 | + | 1.64403i | 0.665037 | + | 0.100238i | 0.472881 | − | 0.881126i | \(-0.343214\pi\) |
0.192156 | + | 0.981364i | \(0.438452\pi\) | |||||||
\(270\) | 1.10125 | − | 1.09974i | 0.0670198 | − | 0.0669280i | ||||
\(271\) | −18.2044 | − | 16.8912i | −1.10584 | − | 1.02607i | −0.999496 | − | 0.0317365i | \(-0.989896\pi\) |
−0.106340 | − | 0.994330i | \(-0.533913\pi\) | |||||||
\(272\) | −5.38820 | − | 4.99952i | −0.326708 | − | 0.303140i | ||||
\(273\) | 12.9497 | − | 6.76676i | 0.783749 | − | 0.409543i | ||||
\(274\) | −5.66294 | + | 5.25444i | −0.342111 | + | 0.317433i | ||||
\(275\) | 24.5283 | 1.47911 | ||||||||
\(276\) | −2.12384 | + | 9.85984i | −0.127840 | + | 0.593493i | ||||
\(277\) | 1.50860 | + | 6.60959i | 0.0906428 | + | 0.397132i | 0.999814 | − | 0.0192907i | \(-0.00614080\pi\) |
−0.909171 | + | 0.416423i | \(0.863284\pi\) | |||||||
\(278\) | −16.2462 | + | 11.0764i | −0.974380 | + | 0.664321i | ||||
\(279\) | 19.4220 | + | 12.5566i | 1.16277 | + | 0.751747i | ||||
\(280\) | −0.663755 | − | 0.432897i | −0.0396669 | − | 0.0258705i | ||||
\(281\) | 14.0060 | − | 2.11106i | 0.835525 | − | 0.125935i | 0.282675 | − | 0.959216i | \(-0.408778\pi\) |
0.552850 | + | 0.833281i | \(0.313540\pi\) | |||||||
\(282\) | 8.41141 | − | 0.102946i | 0.500892 | − | 0.00613035i | ||||
\(283\) | −1.60770 | + | 0.242322i | −0.0955679 | + | 0.0144046i | −0.196652 | − | 0.980473i | \(-0.563007\pi\) |
0.101084 | + | 0.994878i | \(0.467769\pi\) | |||||||
\(284\) | 3.91820 | − | 2.67138i | 0.232503 | − | 0.158518i | ||||
\(285\) | −2.13716 | − | 2.61365i | −0.126595 | − | 0.154819i | ||||
\(286\) | −1.19022 | + | 15.8824i | −0.0703791 | + | 0.939144i | ||||
\(287\) | 1.43113 | − | 2.60038i | 0.0844770 | − | 0.153495i | ||||
\(288\) | −1.02735 | + | 2.81861i | −0.0605371 | + | 0.166088i | ||||
\(289\) | 2.76710 | − | 36.9243i | 0.162770 | − | 2.17202i | ||||
\(290\) | 0.323631 | − | 1.41792i | 0.0190043 | − | 0.0832631i | ||||
\(291\) | −5.55956 | − | 23.0538i | −0.325907 | − | 1.35144i | ||||
\(292\) | −3.46964 | − | 4.35080i | −0.203046 | − | 0.254611i | ||||
\(293\) | −15.2356 | − | 26.3889i | −0.890076 | − | 1.54166i | −0.839783 | − | 0.542922i | \(-0.817318\pi\) |
−0.0502933 | − | 0.998734i | \(-0.516016\pi\) | |||||||
\(294\) | −6.61197 | − | 10.1628i | −0.385618 | − | 0.592705i | ||||
\(295\) | −0.933689 | + | 1.61720i | −0.0543615 | + | 0.0941568i | ||||
\(296\) | 3.77310 | − | 0.568704i | 0.219307 | − | 0.0330552i | ||||
\(297\) | −4.84304 | + | 25.5004i | −0.281021 | + | 1.47968i | ||||
\(298\) | −22.7267 | + | 7.01025i | −1.31652 | + | 0.406093i | ||||
\(299\) | 15.3403 | + | 10.4589i | 0.887155 | + | 0.604852i | ||||
\(300\) | 5.22093 | − | 6.71377i | 0.301430 | − | 0.387620i | ||||
\(301\) | −14.9904 | − | 18.0272i | −0.864033 | − | 1.03907i | ||||
\(302\) | 0.821103 | + | 0.559819i | 0.0472492 | + | 0.0322139i | ||||
\(303\) | 5.81599 | − | 15.3694i | 0.334120 | − | 0.882947i | ||||
\(304\) | 5.86348 | + | 2.82370i | 0.336293 | + | 0.161950i | ||||
\(305\) | 1.55625 | − | 3.96526i | 0.0891106 | − | 0.227050i | ||||
\(306\) | −20.9060 | + | 7.01343i | −1.19512 | + | 0.400931i | ||||
\(307\) | 10.9061 | + | 13.6758i | 0.622445 | + | 0.780521i | 0.988686 | − | 0.149999i | \(-0.0479270\pi\) |
−0.366241 | + | 0.930520i | \(0.619356\pi\) | |||||||
\(308\) | 13.2135 | − | 0.270684i | 0.752908 | − | 0.0154236i | ||||
\(309\) | 3.82422 | − | 10.1059i | 0.217552 | − | 0.574904i | ||||
\(310\) | −2.08036 | − | 1.00185i | −0.118157 | − | 0.0569012i | ||||
\(311\) | −0.517235 | − | 0.159546i | −0.0293297 | − | 0.00904701i | 0.280056 | − | 0.959984i | \(-0.409647\pi\) |
−0.309385 | + | 0.950937i | \(0.600123\pi\) | |||||||
\(312\) | 4.09391 | + | 3.70640i | 0.231772 | + | 0.209834i | ||||
\(313\) | −2.28053 | − | 3.95000i | −0.128903 | − | 0.223267i | 0.794349 | − | 0.607462i | \(-0.207812\pi\) |
−0.923252 | + | 0.384195i | \(0.874479\pi\) | |||||||
\(314\) | 0.917929 | + | 4.02171i | 0.0518017 | + | 0.226958i | ||||
\(315\) | −2.09338 | + | 1.12671i | −0.117949 | + | 0.0634830i | ||||
\(316\) | −0.360825 | + | 1.58088i | −0.0202980 | + | 0.0889314i | ||||
\(317\) | 1.74104 | − | 0.537038i | 0.0977863 | − | 0.0301631i | −0.245476 | − | 0.969403i | \(-0.578944\pi\) |
0.343262 | + | 0.939240i | \(0.388468\pi\) | |||||||
\(318\) | 3.16709 | + | 3.87320i | 0.177601 | + | 0.217198i | ||||
\(319\) | 8.86169 | + | 22.5792i | 0.496159 | + | 1.26419i | ||||
\(320\) | 0.0666487 | − | 0.292007i | 0.00372577 | − | 0.0163237i | ||||
\(321\) | −25.7966 | − | 12.0363i | −1.43983 | − | 0.671803i | ||||
\(322\) | 7.42842 | − | 13.4975i | 0.413969 | − | 0.752185i | ||||
\(323\) | 10.6445 | + | 46.6366i | 0.592276 | + | 2.59493i | ||||
\(324\) | 5.94901 | + | 6.75347i | 0.330500 | + | 0.375193i | ||||
\(325\) | −7.82796 | − | 13.5584i | −0.434217 | − | 0.752086i | ||||
\(326\) | −4.58444 | − | 20.0857i | −0.253908 | − | 1.11245i | ||||
\(327\) | −2.66399 | − | 6.55085i | −0.147319 | − | 0.362263i | ||||
\(328\) | 1.10934 | + | 0.167206i | 0.0612528 | + | 0.00923238i | ||||
\(329\) | −12.3537 | − | 3.53521i | −0.681083 | − | 0.194902i | ||||
\(330\) | 0.162019 | − | 2.58637i | 0.00891883 | − | 0.142375i | ||||
\(331\) | −24.3773 | + | 22.6188i | −1.33990 | + | 1.24324i | −0.393863 | + | 0.919169i | \(0.628861\pi\) |
−0.946033 | + | 0.324072i | \(0.894948\pi\) | |||||||
\(332\) | 1.73891 | − | 4.43067i | 0.0954351 | − | 0.243165i | ||||
\(333\) | 3.92007 | − | 10.7550i | 0.214819 | − | 0.589372i | ||||
\(334\) | −3.18083 | − | 8.10462i | −0.174047 | − | 0.443465i | ||||
\(335\) | 0.238484 | − | 3.18235i | 0.0130298 | − | 0.173870i | ||||
\(336\) | 2.73845 | − | 3.67436i | 0.149395 | − | 0.200453i | ||||
\(337\) | −1.87853 | − | 25.0672i | −0.102330 | − | 1.36550i | −0.777986 | − | 0.628281i | \(-0.783759\pi\) |
0.675656 | − | 0.737217i | \(-0.263860\pi\) | |||||||
\(338\) | −2.55349 | + | 1.22970i | −0.138892 | + | 0.0668868i | ||||
\(339\) | 3.12323 | − | 2.18585i | 0.169631 | − | 0.118719i | ||||
\(340\) | 1.98353 | − | 0.955219i | 0.107572 | − | 0.0518040i | ||||
\(341\) | 38.0794 | − | 5.73955i | 2.06212 | − | 0.310814i | ||||
\(342\) | 15.8574 | − | 11.3897i | 0.857470 | − | 0.615885i | ||||
\(343\) | 5.22216 | + | 17.7688i | 0.281970 | + | 0.959423i | ||||
\(344\) | 4.43079 | − | 7.67435i | 0.238892 | − | 0.413773i | ||||
\(345\) | −2.51664 | − | 1.67107i | −0.135491 | − | 0.0899674i | ||||
\(346\) | −0.233319 | + | 3.11343i | −0.0125433 | + | 0.167379i | ||||
\(347\) | 7.58411 | + | 7.03703i | 0.407136 | + | 0.377767i | 0.856988 | − | 0.515336i | \(-0.172333\pi\) |
−0.449852 | + | 0.893103i | \(0.648523\pi\) | |||||||
\(348\) | 8.06653 | + | 2.38048i | 0.432412 | + | 0.127607i | ||||
\(349\) | 2.46484 | − | 1.68050i | 0.131940 | − | 0.0899551i | −0.495552 | − | 0.868578i | \(-0.665034\pi\) |
0.627492 | + | 0.778623i | \(0.284082\pi\) | |||||||
\(350\) | −10.5819 | + | 7.53663i | −0.565624 | + | 0.402850i | ||||
\(351\) | 15.6414 | − | 5.46114i | 0.834876 | − | 0.291494i | ||||
\(352\) | 1.82498 | + | 4.64997i | 0.0972717 | + | 0.247844i | ||||
\(353\) | −12.3028 | − | 5.92473i | −0.654814 | − | 0.315342i | 0.0768145 | − | 0.997045i | \(-0.475525\pi\) |
−0.731628 | + | 0.681704i | \(0.761239\pi\) | |||||||
\(354\) | −8.99610 | − | 5.97349i | −0.478137 | − | 0.317487i | ||||
\(355\) | 0.316062 | + | 1.38476i | 0.0167748 | + | 0.0734954i | ||||
\(356\) | −2.49229 | + | 6.35024i | −0.132091 | + | 0.336562i | ||||
\(357\) | 33.6656 | − | 1.10196i | 1.78177 | − | 0.0583218i | ||||
\(358\) | −3.45065 | − | 8.79212i | −0.182373 | − | 0.464678i | ||||
\(359\) | 23.5301 | − | 16.0425i | 1.24187 | − | 0.846692i | 0.249306 | − | 0.968425i | \(-0.419798\pi\) |
0.992563 | + | 0.121733i | \(0.0388452\pi\) | |||||||
\(360\) | −0.673444 | − | 0.594865i | −0.0354936 | − | 0.0313521i | ||||
\(361\) | −11.6768 | − | 20.2248i | −0.614570 | − | 1.06447i | ||||
\(362\) | 2.53240 | + | 4.38625i | 0.133100 | + | 0.230536i | ||||
\(363\) | 12.3387 | + | 20.7797i | 0.647614 | + | 1.09065i | ||||
\(364\) | −4.36658 | − | 7.21760i | −0.228871 | − | 0.378305i | ||||
\(365\) | 1.59272 | − | 0.491290i | 0.0833669 | − | 0.0257153i | ||||
\(366\) | 22.3229 | + | 10.4155i | 1.16684 | + | 0.544429i | ||||
\(367\) | −12.1473 | + | 15.2323i | −0.634085 | + | 0.795118i | −0.990249 | − | 0.139306i | \(-0.955513\pi\) |
0.356164 | + | 0.934423i | \(0.384084\pi\) | |||||||
\(368\) | 5.75811 | + | 0.867895i | 0.300162 | + | 0.0452422i | ||||
\(369\) | 2.03339 | − | 2.68190i | 0.105854 | − | 0.139614i | ||||
\(370\) | −0.254313 | + | 1.11422i | −0.0132211 | + | 0.0579254i | ||||
\(371\) | −2.93725 | − | 7.05555i | −0.152494 | − | 0.366306i | ||||
\(372\) | 6.53433 | − | 11.6446i | 0.338789 | − | 0.603745i | ||||
\(373\) | 1.90904 | 0.0988464 | 0.0494232 | − | 0.998778i | \(-0.484262\pi\) | ||||
0.0494232 | + | 0.998778i | \(0.484262\pi\) | |||||||
\(374\) | −18.3586 | + | 31.7980i | −0.949298 | + | 1.64423i | ||||
\(375\) | 2.62491 | + | 4.42065i | 0.135550 | + | 0.228281i | ||||
\(376\) | −0.362941 | − | 4.84311i | −0.0187173 | − | 0.249764i | ||||
\(377\) | 9.65294 | − | 12.1044i | 0.497151 | − | 0.623408i | ||||
\(378\) | −5.74597 | − | 12.4893i | −0.295541 | − | 0.642383i | ||||
\(379\) | 13.6170 | + | 17.0751i | 0.699457 | + | 0.877091i | 0.996983 | − | 0.0776226i | \(-0.0247329\pi\) |
−0.297526 | + | 0.954714i | \(0.596161\pi\) | |||||||
\(380\) | −1.42890 | + | 1.32582i | −0.0733008 | + | 0.0680132i | ||||
\(381\) | −26.6789 | − | 17.7151i | −1.36680 | − | 0.907570i | ||||
\(382\) | −6.58488 | + | 4.48949i | −0.336912 | + | 0.229702i | ||||
\(383\) | 6.56758 | − | 8.23549i | 0.335588 | − | 0.420814i | −0.585193 | − | 0.810894i | \(-0.698981\pi\) |
0.920781 | + | 0.390080i | \(0.127553\pi\) | |||||||
\(384\) | 1.66122 | + | 0.490238i | 0.0847740 | + | 0.0250173i | ||||
\(385\) | −1.37042 | + | 3.71370i | −0.0698433 | + | 0.189268i | ||||
\(386\) | −18.0092 | − | 8.67278i | −0.916645 | − | 0.441433i | ||||
\(387\) | −13.8518 | − | 22.6908i | −0.704129 | − | 1.15344i | ||||
\(388\) | −13.0834 | + | 4.03569i | −0.664209 | + | 0.204881i | ||||
\(389\) | 1.87631 | − | 0.903585i | 0.0951329 | − | 0.0458136i | −0.385712 | − | 0.922619i | \(-0.626044\pi\) |
0.480845 | + | 0.876806i | \(0.340330\pi\) | |||||||
\(390\) | −1.48137 | + | 0.735856i | −0.0750119 | + | 0.0372615i | ||||
\(391\) | 21.4011 | + | 37.0679i | 1.08230 | + | 1.87460i | ||||
\(392\) | −5.61733 | + | 4.17679i | −0.283718 | + | 0.210960i | ||||
\(393\) | −8.76904 | + | 2.82287i | −0.442340 | + | 0.142395i | ||||
\(394\) | 3.10098 | − | 7.90117i | 0.156225 | − | 0.398055i | ||||
\(395\) | −0.401285 | − | 0.273591i | −0.0201908 | − | 0.0137659i | ||||
\(396\) | 14.8687 | + | 1.87019i | 0.747179 | + | 0.0939803i | ||||
\(397\) | 0.524670 | − | 7.00124i | 0.0263324 | − | 0.351382i | −0.968439 | − | 0.249252i | \(-0.919815\pi\) |
0.994771 | − | 0.102130i | \(-0.0325657\pi\) | |||||||
\(398\) | −10.2105 | + | 6.96137i | −0.511804 | + | 0.348942i | ||||
\(399\) | −28.1955 | + | 9.71817i | −1.41154 | + | 0.486517i | ||||
\(400\) | −4.05707 | − | 2.76606i | −0.202854 | − | 0.138303i | ||||
\(401\) | −2.34656 | + | 2.94249i | −0.117182 | + | 0.146941i | −0.836962 | − | 0.547260i | \(-0.815671\pi\) |
0.719781 | + | 0.694201i | \(0.244242\pi\) | |||||||
\(402\) | 18.2808 | + | 2.52698i | 0.911762 | + | 0.126035i | ||||
\(403\) | −15.3253 | − | 19.2173i | −0.763408 | − | 0.957284i | ||||
\(404\) | −9.06609 | − | 2.79652i | −0.451055 | − | 0.139132i | ||||
\(405\) | −2.53392 | + | 0.919651i | −0.125912 | + | 0.0456978i | ||||
\(406\) | −10.7608 | − | 7.01815i | −0.534051 | − | 0.348305i | ||||
\(407\) | −6.96362 | − | 17.7430i | −0.345174 | − | 0.879488i | ||||
\(408\) | 4.79592 | + | 11.7933i | 0.237433 | + | 0.583857i | ||||
\(409\) | 31.8783 | + | 9.83315i | 1.57628 | + | 0.486218i | 0.954809 | − | 0.297219i | \(-0.0960593\pi\) |
0.621471 | + | 0.783437i | \(0.286535\pi\) | |||||||
\(410\) | −0.168009 | + | 0.291000i | −0.00829736 | + | 0.0143714i | ||||
\(411\) | 12.7367 | − | 4.10011i | 0.628255 | − | 0.202244i | ||||
\(412\) | −5.96127 | − | 1.83881i | −0.293691 | − | 0.0905915i | ||||
\(413\) | 10.5466 | + | 12.6832i | 0.518966 | + | 0.624100i | ||||
\(414\) | 10.5545 | − | 13.9206i | 0.518725 | − | 0.684162i | ||||
\(415\) | 1.04504 | + | 0.969658i | 0.0512991 | + | 0.0475986i | ||||
\(416\) | 1.98793 | − | 2.49278i | 0.0974662 | − | 0.122219i | ||||
\(417\) | 33.6119 | − | 5.48768i | 1.64598 | − | 0.268733i | ||||
\(418\) | 7.23396 | − | 31.6940i | 0.353824 | − | 1.55021i | ||||
\(419\) | 28.1744 | − | 8.69066i | 1.37641 | − | 0.424566i | 0.483714 | − | 0.875226i | \(-0.339287\pi\) |
0.892696 | + | 0.450660i | \(0.148811\pi\) | |||||||
\(420\) | 0.724798 | + | 1.16558i | 0.0353665 | + | 0.0568745i | ||||
\(421\) | −8.45470 | − | 2.60793i | −0.412057 | − | 0.127103i | 0.0817941 | − | 0.996649i | \(-0.473935\pi\) |
−0.493851 | + | 0.869546i | \(0.664411\pi\) | |||||||
\(422\) | 6.15044 | − | 10.6529i | 0.299399 | − | 0.518574i | ||||
\(423\) | −13.2780 | − | 5.99855i | −0.645597 | − | 0.291660i | ||||
\(424\) | 2.11750 | − | 1.96475i | 0.102835 | − | 0.0954167i | ||||
\(425\) | −2.69719 | − | 35.9915i | −0.130833 | − | 1.74584i | ||||
\(426\) | −8.10643 | + | 1.32350i | −0.392758 | + | 0.0641239i | ||||
\(427\) | −28.1016 | − | 25.0231i | −1.35993 | − | 1.21095i | ||||
\(428\) | −6.00442 | + | 15.2990i | −0.290235 | + | 0.739506i | ||||
\(429\) | 13.4997 | − | 24.0574i | 0.651771 | − | 1.16150i | ||||
\(430\) | 1.65486 | + | 2.07513i | 0.0798044 | + | 0.100071i | ||||
\(431\) | −1.51909 | − | 20.2709i | −0.0731720 | − | 0.976413i | −0.906109 | − | 0.423045i | \(-0.860961\pi\) |
0.832937 | − | 0.553368i | \(-0.186658\pi\) | |||||||
\(432\) | 3.67675 | − | 3.67172i | 0.176898 | − | 0.176656i | ||||
\(433\) | 0.468493 | − | 0.225614i | 0.0225144 | − | 0.0108423i | −0.422593 | − | 0.906320i | \(-0.638880\pi\) |
0.445107 | + | 0.895477i | \(0.353166\pi\) | |||||||
\(434\) | −14.6645 | + | 14.1765i | −0.703918 | + | 0.680495i | ||||
\(435\) | −1.54639 | + | 1.98856i | −0.0741439 | + | 0.0953441i | ||||
\(436\) | −3.67857 | + | 1.77151i | −0.176172 | + | 0.0848399i | ||||
\(437\) | −27.7804 | − | 25.7764i | −1.32892 | − | 1.23305i | ||||
\(438\) | 2.25964 | + | 9.37004i | 0.107970 | + | 0.447718i | ||||
\(439\) | −3.27525 | + | 8.34519i | −0.156319 | + | 0.398294i | −0.987481 | − | 0.157735i | \(-0.949581\pi\) |
0.831162 | + | 0.556030i | \(0.187676\pi\) | |||||||
\(440\) | −1.49617 | −0.0713270 | ||||||||
\(441\) | 2.93543 | + | 20.7938i | 0.139782 | + | 0.990182i | ||||
\(442\) | 23.4358 | 1.11473 | ||||||||
\(443\) | 10.1246 | − | 25.7970i | 0.481033 | − | 1.22565i | −0.460177 | − | 0.887827i | \(-0.652214\pi\) |
0.941209 | − | 0.337824i | \(-0.109691\pi\) | |||||||
\(444\) | −6.33877 | − | 1.87061i | −0.300825 | − | 0.0887753i | ||||
\(445\) | −1.49780 | − | 1.38976i | −0.0710027 | − | 0.0658809i | ||||
\(446\) | −11.8023 | + | 5.68369i | −0.558856 | + | 0.269131i | ||||
\(447\) | 40.8058 | + | 5.64067i | 1.93005 | + | 0.266794i | ||||
\(448\) | −2.21609 | − | 1.44532i | −0.104700 | − | 0.0682850i | ||||
\(449\) | −26.6775 | + | 12.8472i | −1.25899 | + | 0.606297i | −0.939907 | − | 0.341430i | \(-0.889089\pi\) |
−0.319081 | + | 0.947727i | \(0.603374\pi\) | |||||||
\(450\) | −13.1117 | + | 6.71439i | −0.618089 | + | 0.316519i | ||||
\(451\) | −0.418790 | − | 5.58836i | −0.0197200 | − | 0.263146i | ||||
\(452\) | −1.37227 | − | 1.72077i | −0.0645460 | − | 0.0809382i | ||||
\(453\) | −0.878821 | − | 1.48003i | −0.0412906 | − | 0.0695380i | ||||
\(454\) | 6.09334 | − | 15.5256i | 0.285974 | − | 0.728651i | ||||
\(455\) | 2.49017 | − | 0.427665i | 0.116741 | − | 0.0200493i | ||||
\(456\) | −7.13538 | − | 8.72624i | −0.334145 | − | 0.408644i | ||||
\(457\) | −2.02430 | − | 27.0124i | −0.0946927 | − | 1.26359i | −0.818873 | − | 0.573975i | \(-0.805400\pi\) |
0.724180 | − | 0.689611i | \(-0.242219\pi\) | |||||||
\(458\) | 3.42536 | − | 3.17827i | 0.160056 | − | 0.148511i | ||||
\(459\) | 37.9505 | + | 4.30233i | 1.77138 | + | 0.200816i | ||||
\(460\) | −0.872064 | + | 1.51046i | −0.0406602 | + | 0.0704255i | ||||
\(461\) | 33.5734 | + | 10.3560i | 1.56367 | + | 0.482328i | 0.951305 | − | 0.308250i | \(-0.0997433\pi\) |
0.612362 | + | 0.790577i | \(0.290219\pi\) | |||||||
\(462\) | −20.9382 | − | 9.25210i | −0.974132 | − | 0.430446i | ||||
\(463\) | 39.4025 | − | 12.1541i | 1.83119 | − | 0.564847i | 0.831229 | − | 0.555930i | \(-0.187638\pi\) |
0.999960 | − | 0.00891764i | \(-0.00283861\pi\) | |||||||
\(464\) | 1.08051 | − | 4.73403i | 0.0501615 | − | 0.219772i | ||||
\(465\) | 2.53164 | + | 3.09607i | 0.117402 | + | 0.143577i | ||||
\(466\) | 1.46964 | − | 1.84287i | 0.0680799 | − | 0.0853695i | ||||
\(467\) | −6.78295 | − | 6.29365i | −0.313877 | − | 0.291236i | 0.507464 | − | 0.861673i | \(-0.330583\pi\) |
−0.821341 | + | 0.570438i | \(0.806774\pi\) | |||||||
\(468\) | −3.71142 | − | 8.81577i | −0.171560 | − | 0.407509i | ||||
\(469\) | −25.6434 | − | 11.7084i | −1.18410 | − | 0.540642i | ||||
\(470\) | 1.39003 | + | 0.428768i | 0.0641174 | + | 0.0197776i | ||||
\(471\) | 1.50453 | − | 6.98474i | 0.0693252 | − | 0.321840i | ||||
\(472\) | −3.11732 | + | 5.39936i | −0.143486 | + | 0.248526i | ||||
\(473\) | −42.2994 | − | 13.0476i | −1.94493 | − | 0.599931i | ||||
\(474\) | 1.72412 | − | 2.21710i | 0.0791914 | − | 0.101835i | ||||
\(475\) | 11.6748 | + | 29.7470i | 0.535678 | + | 1.36489i | ||||
\(476\) | −1.85018 | − | 19.3590i | −0.0848027 | − | 0.887320i | ||||
\(477\) | −2.13452 | − | 8.39882i | −0.0977329 | − | 0.384556i | ||||
\(478\) | 19.4177 | + | 5.98957i | 0.888145 | + | 0.273957i | ||||
\(479\) | −19.2403 | − | 24.1265i | −0.879110 | − | 1.10237i | −0.994042 | − | 0.108996i | \(-0.965236\pi\) |
0.114932 | − | 0.993373i | \(-0.463335\pi\) | |||||||
\(480\) | −0.318465 | + | 0.409525i | −0.0145359 | + | 0.0186922i | ||||
\(481\) | −7.58539 | + | 9.51177i | −0.345864 | + | 0.433699i | ||||
\(482\) | −2.11156 | − | 1.43963i | −0.0961787 | − | 0.0655735i | ||||
\(483\) | −21.5446 | + | 15.7455i | −0.980314 | + | 0.716444i | ||||
\(484\) | 11.5283 | − | 7.85989i | 0.524015 | − | 0.357268i | ||||
\(485\) | 0.306459 | − | 4.08942i | 0.0139156 | − | 0.185691i | ||||
\(486\) | −4.39165 | − | 14.9571i | −0.199209 | − | 0.678466i | ||||
\(487\) | −17.0763 | − | 11.6424i | −0.773799 | − | 0.527567i | 0.110843 | − | 0.993838i | \(-0.464645\pi\) |
−0.884642 | + | 0.466271i | \(0.845597\pi\) | |||||||
\(488\) | 5.19588 | − | 13.2389i | 0.235206 | − | 0.599296i | ||||
\(489\) | −7.51413 | + | 34.8841i | −0.339801 | + | 1.57751i | ||||
\(490\) | −0.549860 | − | 2.02323i | −0.0248402 | − | 0.0914001i | ||||
\(491\) | −7.66420 | − | 13.2748i | −0.345880 | − | 0.599082i | 0.639633 | − | 0.768681i | \(-0.279086\pi\) |
−0.985513 | + | 0.169598i | \(0.945753\pi\) | |||||||
\(492\) | −1.61876 | − | 1.07487i | −0.0729795 | − | 0.0484591i | ||||
\(493\) | 32.1571 | − | 15.4861i | 1.44828 | − | 0.697457i | ||||
\(494\) | −19.8281 | + | 6.11615i | −0.892108 | + | 0.275179i | ||||
\(495\) | −2.14844 | + | 3.94092i | −0.0965654 | + | 0.177131i | ||||
\(496\) | −6.94574 | − | 3.34489i | −0.311873 | − | 0.150190i | ||||
\(497\) | 12.4423 | + | 1.61550i | 0.558113 | + | 0.0724650i | ||||
\(498\) | −5.97422 | + | 5.68090i | −0.267711 | + | 0.254567i | ||||
\(499\) | −14.4181 | + | 18.0797i | −0.645443 | + | 0.809360i | −0.991672 | − | 0.128790i | \(-0.958891\pi\) |
0.346229 | + | 0.938150i | \(0.387462\pi\) | |||||||
\(500\) | 2.45252 | − | 1.67210i | 0.109680 | − | 0.0747786i | ||||
\(501\) | −0.942816 | + | 15.0505i | −0.0421219 | + | 0.672409i | ||||
\(502\) | −4.22413 | + | 3.91942i | −0.188532 | + | 0.174932i | ||||
\(503\) | −12.7807 | − | 16.0265i | −0.569863 | − | 0.714586i | 0.410484 | − | 0.911868i | \(-0.365360\pi\) |
−0.980347 | + | 0.197282i | \(0.936788\pi\) | |||||||
\(504\) | −6.98921 | + | 3.76177i | −0.311324 | + | 0.167563i | ||||
\(505\) | 1.77176 | − | 2.22172i | 0.0788425 | − | 0.0988654i | ||||
\(506\) | −2.17377 | − | 29.0069i | −0.0966357 | − | 1.28951i | ||||
\(507\) | 4.90855 | − | 0.0600751i | 0.217996 | − | 0.00266803i | ||||
\(508\) | −9.24477 | + | 16.0124i | −0.410170 | + | 0.710436i | ||||
\(509\) | 40.8868 | 1.81228 | 0.906138 | − | 0.422982i | \(-0.139017\pi\) | ||||
0.906138 | + | 0.422982i | \(0.139017\pi\) | |||||||
\(510\) | −3.81292 | + | 0.0466658i | −0.168839 | + | 0.00206640i | ||||
\(511\) | 0.799335 | − | 14.7016i | 0.0353605 | − | 0.650359i | ||||
\(512\) | 0.222521 | − | 0.974928i | 0.00983413 | − | 0.0430861i | ||||
\(513\) | −33.2312 | + | 6.26409i | −1.46719 | + | 0.276566i | ||||
\(514\) | −28.3259 | − | 4.26944i | −1.24940 | − | 0.188317i | ||||
\(515\) | 1.16500 | − | 1.46086i | 0.0513359 | − | 0.0643732i | ||||
\(516\) | −12.5749 | + | 8.80078i | −0.553580 | + | 0.387433i | ||||
\(517\) | −23.1827 | + | 7.15092i | −1.01957 | + | 0.314497i | ||||
\(518\) | 8.45598 | + | 5.51494i | 0.371534 | + | 0.242313i | ||||
\(519\) | 2.64635 | − | 4.71598i | 0.116162 | − | 0.207008i | ||||
\(520\) | 0.477488 | + | 0.827033i | 0.0209392 | + | 0.0362678i | ||||
\(521\) | 2.67396 | + | 4.63144i | 0.117148 | + | 0.202907i | 0.918637 | − | 0.395104i | \(-0.129291\pi\) |
−0.801488 | + | 0.598011i | \(0.795958\pi\) | |||||||
\(522\) | −10.9179 | − | 9.64398i | −0.477864 | − | 0.422106i | ||||
\(523\) | −14.2556 | + | 9.71932i | −0.623355 | + | 0.424996i | −0.833380 | − | 0.552700i | \(-0.813598\pi\) |
0.210026 | + | 0.977696i | \(0.432645\pi\) | |||||||
\(524\) | 1.94313 | + | 4.95101i | 0.0848859 | + | 0.216286i | ||||
\(525\) | 22.1288 | − | 4.07984i | 0.965781 | − | 0.178059i | ||||
\(526\) | 4.92216 | − | 12.5415i | 0.214617 | − | 0.546834i | ||||
\(527\) | −12.6092 | − | 55.2446i | −0.549266 | − | 2.40649i | ||||
\(528\) | 0.540934 | − | 8.63515i | 0.0235411 | − | 0.375797i | ||||
\(529\) | −9.82872 | − | 4.73326i | −0.427336 | − | 0.205794i | ||||
\(530\) | 0.316087 | + | 0.805378i | 0.0137300 | + | 0.0349834i | ||||
\(531\) | 9.74560 | + | 15.9643i | 0.422923 | + | 0.692794i | ||||
\(532\) | 6.61757 | + | 15.8960i | 0.286908 | + | 0.689180i | ||||
\(533\) | −2.95541 | + | 2.01497i | −0.128013 | + | 0.0872779i | ||||
\(534\) | 8.56253 | − | 8.14213i | 0.370537 | − | 0.352344i | ||||
\(535\) | −3.60851 | − | 3.34821i | −0.156010 | − | 0.144756i | ||||
\(536\) | 0.796231 | − | 10.6250i | 0.0343920 | − | 0.458929i | ||||
\(537\) | −1.02279 | + | 16.3272i | −0.0441368 | + | 0.704572i | ||||
\(538\) | −5.51531 | + | 9.55279i | −0.237782 | + | 0.411850i | ||||
\(539\) | 26.5851 | + | 22.7139i | 1.14510 | + | 0.978355i | ||||
\(540\) | 0.621388 | + | 1.42690i | 0.0267403 | + | 0.0614041i | ||||
\(541\) | −19.7556 | + | 2.97768i | −0.849362 | + | 0.128021i | −0.559277 | − | 0.828981i | \(-0.688921\pi\) |
−0.290084 | + | 0.957001i | \(0.593683\pi\) | |||||||
\(542\) | 22.3744 | − | 10.7749i | 0.961061 | − | 0.462823i | ||||
\(543\) | −0.762577 | − | 8.73929i | −0.0327253 | − | 0.375039i | ||||
\(544\) | 6.62245 | − | 3.18920i | 0.283935 | − | 0.136736i | ||||
\(545\) | −0.0913873 | − | 1.21948i | −0.00391460 | − | 0.0522367i | ||||
\(546\) | 1.56796 | + | 14.5267i | 0.0671026 | + | 0.621684i | ||||
\(547\) | −1.16496 | + | 15.5453i | −0.0498102 | + | 0.664671i | 0.915291 | + | 0.402793i | \(0.131961\pi\) |
−0.965101 | + | 0.261877i | \(0.915658\pi\) | |||||||
\(548\) | −2.82232 | − | 7.19115i | −0.120563 | − | 0.307191i | ||||
\(549\) | −27.4102 | − | 32.6966i | −1.16984 | − | 1.39546i | ||||
\(550\) | −8.96118 | + | 22.8327i | −0.382106 | + | 0.973590i | ||||
\(551\) | −23.1653 | + | 21.4943i | −0.986877 | + | 0.915688i | ||||
\(552\) | −8.40234 | − | 5.57923i | −0.357627 | − | 0.237468i | ||||
\(553\) | −3.49447 | + | 2.48884i | −0.148600 | + | 0.105836i | ||||
\(554\) | −6.70385 | − | 1.01044i | −0.284819 | − | 0.0429296i | ||||
\(555\) | 1.21517 | − | 1.56263i | 0.0515812 | − | 0.0663301i | ||||
\(556\) | −4.37538 | − | 19.1698i | −0.185558 | − | 0.812981i | ||||
\(557\) | −20.0615 | − | 34.7475i | −0.850032 | − | 1.47230i | −0.881178 | − | 0.472784i | \(-0.843249\pi\) |
0.0311465 | − | 0.999515i | \(-0.490084\pi\) | |||||||
\(558\) | −18.7843 | + | 13.4920i | −0.795203 | + | 0.571161i | ||||
\(559\) | 6.28714 | + | 27.5458i | 0.265918 | + | 1.16506i | ||||
\(560\) | 0.645469 | − | 0.459717i | 0.0272761 | − | 0.0194266i | ||||
\(561\) | 52.1030 | − | 36.4652i | 2.19979 | − | 1.53956i | ||||
\(562\) | −3.15182 | + | 13.8090i | −0.132952 | + | 0.582499i | ||||
\(563\) | 9.47967 | + | 24.1538i | 0.399521 | + | 1.01796i | 0.979160 | + | 0.203089i | \(0.0650980\pi\) |
−0.579640 | + | 0.814873i | \(0.696807\pi\) | |||||||
\(564\) | −2.97720 | + | 7.86757i | −0.125363 | + | 0.331285i | ||||
\(565\) | 0.629932 | − | 0.194308i | 0.0265015 | − | 0.00817462i | ||||
\(566\) | 0.361788 | − | 1.58510i | 0.0152071 | − | 0.0666266i | ||||
\(567\) | −0.127732 | + | 23.8114i | −0.00536422 | + | 0.999986i | ||||
\(568\) | 1.05524 | + | 4.62332i | 0.0442770 | + | 0.193990i | ||||
\(569\) | 10.8957 | + | 18.8719i | 0.456771 | + | 0.791151i | 0.998788 | − | 0.0492163i | \(-0.0156724\pi\) |
−0.542017 | + | 0.840368i | \(0.682339\pi\) | |||||||
\(570\) | 3.21377 | − | 1.03456i | 0.134610 | − | 0.0433328i | ||||
\(571\) | 20.0911 | + | 6.19727i | 0.840785 | + | 0.259348i | 0.685091 | − | 0.728458i | \(-0.259762\pi\) |
0.155694 | + | 0.987805i | \(0.450239\pi\) | |||||||
\(572\) | −14.3496 | − | 6.91042i | −0.599988 | − | 0.288939i | ||||
\(573\) | 13.6236 | − | 2.22426i | 0.569132 | − | 0.0929198i | ||||
\(574\) | 1.89777 | + | 2.28223i | 0.0792114 | + | 0.0952583i | ||||
\(575\) | 17.8277 | + | 22.3552i | 0.743465 | + | 0.932275i | ||||
\(576\) | −2.24844 | − | 1.98608i | −0.0936849 | − | 0.0827535i | ||||
\(577\) | −5.66693 | + | 14.4391i | −0.235917 | + | 0.601107i | −0.998977 | − | 0.0452205i | \(-0.985601\pi\) |
0.763060 | + | 0.646328i | \(0.223696\pi\) | |||||||
\(578\) | 33.3610 | + | 16.0658i | 1.38763 | + | 0.668249i | ||||
\(579\) | 21.9158 | + | 26.8020i | 0.910789 | + | 1.11385i | ||||
\(580\) | 1.20167 | + | 0.819284i | 0.0498966 | + | 0.0340189i | ||||
\(581\) | 11.2316 | − | 5.69511i | 0.465964 | − | 0.236273i | ||||
\(582\) | 23.4913 | + | 3.24725i | 0.973746 | + | 0.134603i | ||||
\(583\) | −11.9221 | − | 8.12836i | −0.493764 | − | 0.336642i | ||||
\(584\) | 5.31765 | − | 1.64028i | 0.220046 | − | 0.0678751i | ||||
\(585\) | 2.86407 | − | 0.0701164i | 0.118415 | − | 0.00289896i | ||||
\(586\) | 30.1310 | − | 4.54151i | 1.24470 | − | 0.187608i | ||||
\(587\) | 4.92074 | − | 8.52297i | 0.203101 | − | 0.351781i | −0.746425 | − | 0.665469i | \(-0.768231\pi\) |
0.949526 | + | 0.313689i | \(0.101565\pi\) | |||||||
\(588\) | 11.8759 | − | 2.44204i | 0.489753 | − | 0.100708i | ||||
\(589\) | 25.0856 | + | 43.4495i | 1.03363 | + | 1.79030i | ||||
\(590\) | −1.16429 | − | 1.45997i | −0.0479331 | − | 0.0601062i | ||||
\(591\) | −10.6538 | + | 10.1307i | −0.438238 | + | 0.416721i | ||||
\(592\) | −0.849078 | + | 3.72005i | −0.0348969 | + | 0.152893i | ||||
\(593\) | 0.199251 | − | 2.65882i | 0.00818224 | − | 0.109184i | −0.991617 | − | 0.129210i | \(-0.958756\pi\) |
0.999799 | + | 0.0200258i | \(0.00637483\pi\) | |||||||
\(594\) | −21.9683 | − | 13.8246i | −0.901370 | − | 0.567230i | ||||
\(595\) | 5.59999 | + | 1.60252i | 0.229577 | + | 0.0656970i | ||||
\(596\) | 1.77733 | − | 23.7168i | 0.0728021 | − | 0.971477i | ||||
\(597\) | 21.1246 | − | 3.44892i | 0.864571 | − | 0.141155i | ||||
\(598\) | −15.3403 | + | 10.4589i | −0.627313 | + | 0.427695i | ||||
\(599\) | 9.15379 | − | 1.37971i | 0.374014 | − | 0.0563735i | 0.0406543 | − | 0.999173i | \(-0.487056\pi\) |
0.333360 | + | 0.942800i | \(0.391818\pi\) | |||||||
\(600\) | 4.34226 | + | 7.31284i | 0.177272 | + | 0.298546i | ||||
\(601\) | 5.51836 | − | 0.831758i | 0.225098 | − | 0.0339281i | −0.0355245 | − | 0.999369i | \(-0.511310\pi\) |
0.260623 | + | 0.965441i | \(0.416072\pi\) | |||||||
\(602\) | 22.2577 | − | 7.36810i | 0.907155 | − | 0.300301i | ||||
\(603\) | −26.8429 | − | 17.3544i | −1.09313 | − | 0.706724i | ||||
\(604\) | −0.821103 | + | 0.559819i | −0.0334102 | + | 0.0227787i | ||||
\(605\) | 0.929935 | + | 4.07431i | 0.0378072 | + | 0.165644i | ||||
\(606\) | 12.1821 | + | 11.0290i | 0.494865 | + | 0.448023i | ||||
\(607\) | −1.29777 | −0.0526748 | −0.0263374 | − | 0.999653i | \(-0.508384\pi\) | ||||
−0.0263374 | + | 0.999653i | \(0.508384\pi\) | |||||||
\(608\) | −4.77068 | + | 4.42654i | −0.193477 | + | 0.179520i | ||||
\(609\) | 11.7505 | + | 18.8965i | 0.476153 | + | 0.765723i | ||||
\(610\) | 3.12260 | + | 2.89735i | 0.126430 | + | 0.117310i | ||||
\(611\) | 11.3513 | + | 10.5325i | 0.459226 | + | 0.426099i | ||||
\(612\) | 1.10922 | − | 22.0232i | 0.0448374 | − | 0.890234i | ||||
\(613\) | 14.4238 | + | 2.17404i | 0.582573 | + | 0.0878087i | 0.433715 | − | 0.901050i | \(-0.357202\pi\) |
0.148857 | + | 0.988859i | \(0.452440\pi\) | |||||||
\(614\) | −16.7149 | + | 5.15587i | −0.674559 | + | 0.208074i | ||||
\(615\) | 0.476822 | − | 0.333712i | 0.0192273 | − | 0.0134566i | ||||
\(616\) | −4.57546 | + | 12.3990i | −0.184350 | + | 0.499569i | ||||
\(617\) | −29.7599 | + | 27.6131i | −1.19809 | + | 1.11166i | −0.207015 | + | 0.978338i | \(0.566375\pi\) |
−0.991072 | + | 0.133325i | \(0.957435\pi\) | |||||||
\(618\) | 8.01017 | + | 7.25196i | 0.322216 | + | 0.291717i | ||||
\(619\) | 17.5230 | 0.704308 | 0.352154 | − | 0.935942i | \(-0.385449\pi\) | ||||
0.352154 | + | 0.935942i | \(0.385449\pi\) | |||||||
\(620\) | 1.69264 | − | 1.57054i | 0.0679779 | − | 0.0630743i | ||||
\(621\) | −26.7612 | + | 14.1203i | −1.07389 | + | 0.566627i | ||||
\(622\) | 0.337484 | − | 0.423192i | 0.0135319 | − | 0.0169684i | ||||
\(623\) | −16.0976 | + | 8.16250i | −0.644937 | + | 0.327023i | ||||
\(624\) | −4.94586 | + | 2.45681i | −0.197993 | + | 0.0983513i | ||||
\(625\) | −5.26538 | − | 23.0691i | −0.210615 | − | 0.922765i | ||||
\(626\) | 4.51012 | − | 0.679791i | 0.180261 | − | 0.0271699i | ||||
\(627\) | −34.5657 | + | 44.4493i | −1.38042 | + | 1.77513i | ||||
\(628\) | −4.07906 | − | 0.614820i | −0.162772 | − | 0.0245340i | ||||
\(629\) | −25.2694 | + | 12.1691i | −1.00756 | + | 0.485215i | ||||
\(630\) | −0.284027 | − | 2.36031i | −0.0113159 | − | 0.0940370i | ||||
\(631\) | −39.1116 | − | 18.8351i | −1.55701 | − | 0.749815i | −0.560102 | − | 0.828424i | \(-0.689238\pi\) |
−0.996906 | + | 0.0786082i | \(0.974952\pi\) | |||||||
\(632\) | −1.33978 | − | 0.913443i | −0.0532934 | − | 0.0363348i | ||||
\(633\) | −17.4554 | + | 12.2165i | −0.693792 | + | 0.485562i | ||||
\(634\) | −0.136157 | + | 1.81689i | −0.00540748 | + | 0.0721578i | ||||
\(635\) | −3.45284 | − | 4.32972i | −0.137022 | − | 0.171820i | ||||
\(636\) | −4.76253 | + | 1.53312i | −0.188846 | + | 0.0607922i | ||||
\(637\) | 4.07110 | − | 21.9443i | 0.161303 | − | 0.869465i | ||||
\(638\) | −24.2559 | −0.960302 | ||||||||
\(639\) | 13.6932 | + | 3.85941i | 0.541693 | + | 0.152676i | ||||
\(640\) | 0.247472 | + | 0.168724i | 0.00978219 | + | 0.00666939i | ||||
\(641\) | 2.21694 | − | 9.71305i | 0.0875639 | − | 0.383643i | −0.912089 | − | 0.409993i | \(-0.865531\pi\) |
0.999653 | + | 0.0263500i | \(0.00838843\pi\) | |||||||
\(642\) | 20.6289 | − | 19.6160i | 0.814157 | − | 0.774183i | ||||
\(643\) | −2.93810 | − | 39.2063i | −0.115867 | − | 1.54614i | −0.687835 | − | 0.725867i | \(-0.741439\pi\) |
0.571967 | − | 0.820276i | \(-0.306180\pi\) | |||||||
\(644\) | 9.85055 | + | 11.8461i | 0.388166 | + | 0.466802i | ||||
\(645\) | −1.07774 | − | 4.46907i | −0.0424361 | − | 0.175969i | ||||
\(646\) | −47.3017 | − | 7.12958i | −1.86106 | − | 0.280509i | ||||
\(647\) | 0.908720 | + | 12.1260i | 0.0357255 | + | 0.476723i | 0.986160 | + | 0.165798i | \(0.0530199\pi\) |
−0.950434 | + | 0.310925i | \(0.899361\pi\) | |||||||
\(648\) | −8.46004 | + | 3.07045i | −0.332342 | + | 0.120619i | ||||
\(649\) | 29.7601 | + | 9.17979i | 1.16819 | + | 0.360338i | ||||
\(650\) | 15.4811 | − | 2.33339i | 0.607217 | − | 0.0915232i | ||||
\(651\) | 33.3997 | − | 11.5119i | 1.30904 | − | 0.451188i | ||||
\(652\) | 20.3722 | + | 3.07061i | 0.797835 | + | 0.120254i | ||||
\(653\) | −1.42230 | − | 0.684941i | −0.0556587 | − | 0.0268038i | 0.405847 | − | 0.913941i | \(-0.366976\pi\) |
−0.461506 | + | 0.887137i | \(0.652691\pi\) | |||||||
\(654\) | 7.07128 | − | 0.0865444i | 0.276509 | − | 0.00338416i | ||||
\(655\) | −1.59303 | −0.0622448 | ||||||||
\(656\) | −0.560933 | + | 0.971565i | −0.0219008 | + | 0.0379332i | ||||
\(657\) | 3.31545 | − | 16.3621i | 0.129348 | − | 0.638347i | ||||
\(658\) | 7.80416 | − | 10.2082i | 0.304238 | − | 0.397957i | ||||
\(659\) | −2.69369 | − | 2.49938i | −0.104931 | − | 0.0973621i | 0.625963 | − | 0.779853i | \(-0.284706\pi\) |
−0.730894 | + | 0.682491i | \(0.760897\pi\) | |||||||
\(660\) | 2.34839 | + | 1.09573i | 0.0914110 | + | 0.0426511i | ||||
\(661\) | 1.02717 | + | 2.61717i | 0.0399521 | + | 0.101796i | 0.949457 | − | 0.313896i | \(-0.101634\pi\) |
−0.909505 | + | 0.415693i | \(0.863539\pi\) | |||||||
\(662\) | −12.1492 | − | 30.9557i | −0.472193 | − | 1.20313i | ||||
\(663\) | −36.7850 | − | 17.1633i | −1.42861 | − | 0.666569i | ||||
\(664\) | 3.48910 | + | 3.23741i | 0.135403 | + | 0.125636i | ||||
\(665\) | −5.15613 | + | 0.105625i | −0.199946 | + | 0.00409598i | ||||
\(666\) | 8.57941 | + | 7.57835i | 0.332445 | + | 0.293655i | ||||
\(667\) | −14.1379 | + | 24.4876i | −0.547424 | + | 0.948165i | ||||
\(668\) | 8.70647 | 0.336863 | ||||||||
\(669\) | 22.6874 | − | 0.277669i | 0.877147 | − | 0.0107353i | ||||
\(670\) | 2.87524 | + | 1.38464i | 0.111080 | + | 0.0534934i | ||||
\(671\) | −70.2493 | − | 10.5884i | −2.71194 | − | 0.408760i | ||||
\(672\) | 2.41989 | + | 3.89154i | 0.0933495 | + | 0.150120i | ||||
\(673\) | 2.89022 | − | 0.435631i | 0.111410 | − | 0.0167923i | −0.0931007 | − | 0.995657i | \(-0.529678\pi\) |
0.204510 | + | 0.978864i | \(0.434440\pi\) | |||||||
\(674\) | 24.0207 | + | 7.40941i | 0.925243 | + | 0.285400i | ||||
\(675\) | 25.4974 | − | 0.936553i | 0.981396 | − | 0.0360479i | ||||
\(676\) | −0.211797 | − | 2.82624i | −0.00814605 | − | 0.108702i | ||||
\(677\) | −34.2291 | − | 5.15920i | −1.31553 | − | 0.198284i | −0.546480 | − | 0.837472i | \(-0.684032\pi\) |
−0.769050 | + | 0.639188i | \(0.779271\pi\) | |||||||
\(678\) | 0.893703 | + | 3.70591i | 0.0343225 | + | 0.142325i | ||||
\(679\) | −32.9525 | − | 15.0456i | −1.26460 | − | 0.577397i | ||||
\(680\) | 0.164522 | + | 2.19540i | 0.00630915 | + | 0.0841897i | ||||
\(681\) | −20.9343 | + | 19.9065i | −0.802206 | + | 0.762819i | ||||
\(682\) | −8.56917 | + | 37.5440i | −0.328131 | + | 1.43763i | ||||
\(683\) | 19.7616 | + | 13.4733i | 0.756158 | + | 0.515540i | 0.878962 | − | 0.476891i | \(-0.158236\pi\) |
−0.122805 | + | 0.992431i | \(0.539189\pi\) | |||||||
\(684\) | 4.80902 | + | 18.9224i | 0.183878 | + | 0.723515i | ||||
\(685\) | 2.31381 | 0.0884062 | ||||||||
\(686\) | −18.4483 | − | 1.63048i | −0.704361 | − | 0.0622522i | ||||
\(687\) | −7.70408 | + | 2.48004i | −0.293929 | + | 0.0946196i | ||||
\(688\) | 5.52510 | + | 6.92826i | 0.210643 | + | 0.264137i | ||||
\(689\) | −0.688264 | + | 9.18425i | −0.0262208 | + | 0.349892i | ||||
\(690\) | 2.47499 | − | 1.73216i | 0.0942212 | − | 0.0659423i | ||||
\(691\) | 28.5308 | + | 19.4520i | 1.08536 | + | 0.739988i | 0.967457 | − | 0.253036i | \(-0.0814292\pi\) |
0.117907 | + | 0.993025i | \(0.462382\pi\) | |||||||
\(692\) | −2.81297 | − | 1.35465i | −0.106933 | − | 0.0514962i | ||||
\(693\) | 26.0888 | + | 29.8563i | 0.991033 | + | 1.13415i | ||||
\(694\) | −9.32137 | + | 4.48894i | −0.353834 | + | 0.170398i | ||||
\(695\) | 5.82355 | + | 0.877759i | 0.220900 | + | 0.0332953i | ||||
\(696\) | −5.16296 | + | 6.63923i | −0.195702 | + | 0.251660i | ||||
\(697\) | −8.15403 | + | 1.22902i | −0.308856 | + | 0.0465525i | ||||
\(698\) | 0.663826 | + | 2.90841i | 0.0251262 | + | 0.110085i | ||||
\(699\) | −3.65639 | + | 1.81628i | −0.138297 | + | 0.0686981i | ||||
\(700\) | −3.14966 | − | 12.6038i | −0.119046 | − | 0.476380i | ||||
\(701\) | −1.11731 | + | 1.40106i | −0.0422001 | + | 0.0529173i | −0.802484 | − | 0.596674i | \(-0.796489\pi\) |
0.760284 | + | 0.649591i | \(0.225060\pi\) | |||||||
\(702\) | −0.630816 | + | 16.5553i | −0.0238086 | + | 0.624841i | ||||
\(703\) | 18.2036 | − | 16.8905i | 0.686561 | − | 0.637036i | ||||
\(704\) | −4.99528 | −0.188267 | ||||||||
\(705\) | −1.86779 | − | 1.69099i | −0.0703451 | − | 0.0636865i | ||||
\(706\) | 10.0099 | − | 9.28784i | 0.376728 | − | 0.349552i | ||||
\(707\) | −12.9935 | − | 21.4772i | −0.488671 | − | 0.807733i | ||||
\(708\) | 8.84721 | − | 6.19187i | 0.332498 | − | 0.232705i | ||||
\(709\) | −1.51704 | + | 0.467946i | −0.0569737 | + | 0.0175741i | −0.323111 | − | 0.946361i | \(-0.604729\pi\) |
0.266137 | + | 0.963935i | \(0.414253\pi\) | |||||||
\(710\) | −1.40451 | − | 0.211695i | −0.0527102 | − | 0.00794478i | ||||
\(711\) | −4.32989 | + | 2.21731i | −0.162383 | + | 0.0831555i | ||||
\(712\) | −5.00074 | − | 4.64001i | −0.187411 | − | 0.173892i | ||||
\(713\) | 32.9080 | + | 30.5341i | 1.23241 | + | 1.14351i | ||||
\(714\) | −11.2736 | + | 31.7410i | −0.421905 | + | 1.18788i | ||||
\(715\) | 3.49693 | − | 3.24467i | 0.130778 | − | 0.121344i | ||||
\(716\) | 9.44501 | 0.352977 | ||||||||
\(717\) | −26.0916 | − | 23.6219i | −0.974410 | − | 0.882176i | ||||
\(718\) | 6.33707 | + | 27.7645i | 0.236497 | + | 1.03616i | ||||
\(719\) | 27.1280 | − | 18.4955i | 1.01170 | − | 0.689767i | 0.0604476 | − | 0.998171i | \(-0.480747\pi\) |
0.951256 | + | 0.308404i | \(0.0997948\pi\) | |||||||
\(720\) | 0.799781 | − | 0.409562i | 0.0298061 | − | 0.0152635i | ||||
\(721\) | −8.54368 | − | 14.1220i | −0.318183 | − | 0.525931i | ||||
\(722\) | 23.0928 | − | 3.48068i | 0.859425 | − | 0.129537i | ||||
\(723\) | 2.25998 | + | 3.80606i | 0.0840497 | + | 0.141549i | ||||
\(724\) | −5.00823 | + | 0.754869i | −0.186129 | + | 0.0280545i | ||||
\(725\) | 19.7002 | − | 13.4314i | 0.731648 | − | 0.498829i | ||||
\(726\) | −23.8511 | + | 3.89408i | −0.885199 | + | 0.144523i | ||||
\(727\) | −1.68080 | + | 22.4287i | −0.0623375 | + | 0.831836i | 0.875158 | + | 0.483838i | \(0.160758\pi\) |
−0.937495 | + | 0.347998i | \(0.886861\pi\) | |||||||
\(728\) | 8.31397 | − | 1.42785i | 0.308136 | − | 0.0529198i | ||||
\(729\) | −4.06072 | + | 26.6929i | −0.150397 | + | 0.988626i | ||||
\(730\) | −0.124558 | + | 1.66211i | −0.00461010 | + | 0.0615175i | ||||
\(731\) | −14.4941 | + | 63.5027i | −0.536083 | + | 2.34873i | ||||
\(732\) | −17.8510 | + | 16.9746i | −0.659793 | + | 0.627398i | ||||
\(733\) | −10.2556 | − | 12.8601i | −0.378799 | − | 0.474999i | 0.555486 | − | 0.831526i | \(-0.312532\pi\) |
−0.934285 | + | 0.356527i | \(0.883961\pi\) | |||||||
\(734\) | −9.74140 | − | 16.8726i | −0.359562 | − | 0.622779i | ||||
\(735\) | −0.618657 | + | 3.57836i | −0.0228195 | + | 0.131990i | ||||
\(736\) | −2.91157 | + | 5.04299i | −0.107322 | + | 0.185887i | ||||
\(737\) | −52.6290 | + | 7.93255i | −1.93862 | + | 0.292199i | ||||
\(738\) | 1.75363 | + | 2.87264i | 0.0645520 | + | 0.105743i | ||||
\(739\) | −30.6902 | + | 9.46667i | −1.12896 | + | 0.348237i | −0.802309 | − | 0.596909i | \(-0.796395\pi\) |
−0.326648 | + | 0.945146i | \(0.605919\pi\) | |||||||
\(740\) | −0.944285 | − | 0.643802i | −0.0347126 | − | 0.0236666i | ||||
\(741\) | 35.6014 | + | 4.92125i | 1.30785 | + | 0.180787i | ||||
\(742\) | 7.64093 | − | 0.156528i | 0.280507 | − | 0.00574631i | ||||
\(743\) | −8.15465 | − | 5.55975i | −0.299165 | − | 0.203967i | 0.404429 | − | 0.914569i | \(-0.367470\pi\) |
−0.703594 | + | 0.710602i | \(0.748423\pi\) | |||||||
\(744\) | 8.45241 | + | 10.3369i | 0.309880 | + | 0.378969i | ||||
\(745\) | 6.41804 | + | 3.09076i | 0.235139 | + | 0.113237i | ||||
\(746\) | −0.697451 | + | 1.77708i | −0.0255355 | + | 0.0650634i | ||||
\(747\) | 13.5376 | − | 4.54151i | 0.495315 | − | 0.166165i | ||||
\(748\) | −22.8927 | − | 28.7066i | −0.837042 | − | 1.04962i | ||||
\(749\) | −38.7824 | + | 19.6651i | −1.41708 | + | 0.718547i | ||||
\(750\) | −5.07406 | + | 0.828420i | −0.185278 | + | 0.0302496i | ||||
\(751\) | 6.31458 | + | 3.04094i | 0.230422 | + | 0.110966i | 0.545533 | − | 0.838089i | \(-0.316327\pi\) |
−0.315110 | + | 0.949055i | \(0.602042\pi\) | |||||||
\(752\) | 4.64092 | + | 1.43154i | 0.169237 | + | 0.0522027i | ||||
\(753\) | 9.50063 | − | 3.05838i | 0.346222 | − | 0.111453i | ||||
\(754\) | 7.74105 | + | 13.4079i | 0.281913 | + | 0.488287i | ||||
\(755\) | −0.0662344 | − | 0.290192i | −0.00241052 | − | 0.0105612i | ||||
\(756\) | 13.7252 | − | 0.785904i | 0.499182 | − | 0.0285831i | ||||
\(757\) | −2.41882 | + | 10.5976i | −0.0879136 | + | 0.385175i | −0.999674 | − | 0.0255487i | \(-0.991867\pi\) |
0.911760 | + | 0.410724i | \(0.134724\pi\) | |||||||
\(758\) | −20.8696 | + | 6.43743i | −0.758019 | + | 0.233818i | ||||
\(759\) | −17.8314 | + | 47.1213i | −0.647239 | + | 1.71040i | ||||
\(760\) | −0.712138 | − | 1.81450i | −0.0258320 | − | 0.0658188i | ||||
\(761\) | −5.22583 | + | 22.8959i | −0.189436 | + | 0.829974i | 0.787478 | + | 0.616343i | \(0.211386\pi\) |
−0.976914 | + | 0.213632i | \(0.931471\pi\) | |||||||
\(762\) | 26.2374 | − | 18.3627i | 0.950480 | − | 0.665210i | ||||
\(763\) | −10.3855 | − | 2.97197i | −0.375980 | − | 0.107593i | ||||
\(764\) | −1.77343 | − | 7.76989i | −0.0641603 | − | 0.281105i | ||||
\(765\) | 6.01895 | + | 2.71916i | 0.217616 | + | 0.0983116i | ||||
\(766\) | 5.26679 | + | 9.12235i | 0.190297 | + | 0.329604i | ||||
\(767\) | −4.42338 | − | 19.3801i | −0.159719 | − | 0.699774i | ||||
\(768\) | −1.06326 | + | 1.36729i | −0.0383672 | + | 0.0493377i | ||||
\(769\) | −40.4883 | − | 6.10262i | −1.46004 | − | 0.220066i | −0.629492 | − | 0.777007i | \(-0.716737\pi\) |
−0.830552 | + | 0.556941i | \(0.811975\pi\) | |||||||
\(770\) | −2.95631 | − | 2.63246i | −0.106538 | − | 0.0948672i | ||||
\(771\) | 41.3337 | + | 27.4459i | 1.48860 | + | 0.988442i | ||||
\(772\) | 14.6528 | − | 13.5958i | 0.527365 | − | 0.489323i | ||||
\(773\) | −16.8577 | + | 42.9526i | −0.606328 | + | 1.54490i | 0.216304 | + | 0.976326i | \(0.430600\pi\) |
−0.822633 | + | 0.568573i | \(0.807496\pi\) | |||||||
\(774\) | 26.1829 | − | 4.60443i | 0.941127 | − | 0.165503i | ||||
\(775\) | −13.8297 | − | 35.2376i | −0.496779 | − | 1.26577i | ||||
\(776\) | 1.02318 | − | 13.6534i | 0.0367300 | − | 0.490128i | ||||
\(777\) | −9.23365 | − | 14.8490i | −0.331255 | − | 0.532707i | ||||
\(778\) | 0.155629 | + | 2.07673i | 0.00557958 | + | 0.0744543i | ||||
\(779\) | 6.57804 | − | 3.16782i | 0.235683 | − | 0.113499i | ||||
\(780\) | −0.143785 | − | 1.64780i | −0.00514833 | − | 0.0590009i | ||||
\(781\) | 21.3428 | − | 10.2781i | 0.763704 | − | 0.367780i | ||||
\(782\) | −42.3242 | + | 6.37935i | −1.51351 | + | 0.228125i | ||||
\(783\) | 10.0740 | + | 23.1330i | 0.360014 | + | 0.826706i | ||||
\(784\) | −1.83583 | − | 6.75498i | −0.0655653 | − | 0.241249i | ||||
\(785\) | 0.617773 | − | 1.07001i | 0.0220493 | − | 0.0381904i | ||||
\(786\) | 0.575954 | − | 9.19418i | 0.0205436 | − | 0.327946i | ||||
\(787\) | 0.621250 | − | 8.29000i | 0.0221452 | − | 0.295507i | −0.975124 | − | 0.221659i | \(-0.928853\pi\) |
0.997269 | − | 0.0738481i | \(-0.0235280\pi\) | |||||||
\(788\) | 6.22208 | + | 5.77324i | 0.221652 | + | 0.205663i | ||||
\(789\) | −16.9107 | + | 16.0804i | −0.602035 | + | 0.572476i | ||||
\(790\) | 0.401285 | − | 0.273591i | 0.0142771 | − | 0.00973394i | ||||
\(791\) | 0.316143 | − | 5.81457i | 0.0112407 | − | 0.206742i | ||||
\(792\) | −7.17304 | + | 13.1576i | −0.254883 | + | 0.467535i | ||||
\(793\) | 16.5665 | + | 42.2107i | 0.588293 | + | 1.49895i | ||||
\(794\) | 6.32558 | + | 3.04624i | 0.224487 | + | 0.108107i | ||||
\(795\) | 0.0936901 | − | 1.49561i | 0.00332284 | − | 0.0530439i | ||||
\(796\) | −2.74986 | − | 12.0479i | −0.0974662 | − | 0.427027i | ||||
\(797\) | 1.88480 | − | 4.80240i | 0.0667631 | − | 0.170110i | −0.893598 | − | 0.448868i | \(-0.851827\pi\) |
0.960361 | + | 0.278758i | \(0.0899227\pi\) | |||||||
\(798\) | 1.25456 | − | 29.7969i | 0.0444111 | − | 1.05480i | ||||
\(799\) | 13.0421 | + | 33.2308i | 0.461397 | + | 1.17562i | ||||
\(800\) | 4.05707 | − | 2.76606i | 0.143439 | − | 0.0977952i | ||||
\(801\) | −19.4027 | + | 6.50910i | −0.685561 | + | 0.229988i | ||||
\(802\) | −1.88179 | − | 3.25936i | −0.0664484 | − | 0.115092i | ||||
\(803\) | −13.8991 | − | 24.0739i | −0.490487 | − | 0.849548i | ||||
\(804\) | −9.03102 | + | 16.0939i | −0.318499 | + | 0.567587i | ||||
\(805\) | −4.38074 | + | 1.45018i | −0.154401 | + | 0.0511122i | ||||
\(806\) | 23.4879 | − | 7.24505i | 0.827325 | − | 0.255196i | ||||
\(807\) | 15.6529 | − | 10.9549i | 0.551008 | − | 0.385632i | ||||
\(808\) | 5.91542 | − | 7.41770i | 0.208104 | − | 0.260954i | ||||
\(809\) | 35.6651 | + | 5.37564i | 1.25392 | + | 0.188998i | 0.742213 | − | 0.670164i | \(-0.233776\pi\) |
0.511704 | + | 0.859162i | \(0.329014\pi\) | |||||||
\(810\) | 0.0696661 | − | 2.69475i | 0.00244782 | − | 0.0946838i | ||||
\(811\) | 10.2451 | − | 44.8868i | 0.359755 | − | 1.57619i | −0.394049 | − | 0.919090i | \(-0.628926\pi\) |
0.753804 | − | 0.657100i | \(-0.228217\pi\) | |||||||
\(812\) | 10.4644 | − | 7.45296i | 0.367228 | − | 0.261547i | ||||
\(813\) | −43.0100 | + | 0.526393i | −1.50842 | + | 0.0184614i | ||||
\(814\) | 19.0606 | 0.668073 | ||||||||
\(815\) | −3.08536 | + | 5.34400i | −0.108075 | + | 0.187192i | ||||
\(816\) | −12.7303 | + | 0.155804i | −0.445648 | + | 0.00545423i | ||||
\(817\) | −4.30975 | − | 57.5096i | −0.150779 | − | 2.01201i | ||||
\(818\) | −20.7999 | + | 26.0822i | −0.727250 | + | 0.911943i | ||||
\(819\) | 8.17759 | − | 23.9494i | 0.285748 | − | 0.836860i | ||||
\(820\) | −0.209503 | − | 0.262709i | −0.00731618 | − | 0.00917420i | ||||
\(821\) | 15.3975 | − | 14.2868i | 0.537377 | − | 0.498613i | −0.364147 | − | 0.931341i | \(-0.618640\pi\) |
0.901524 | + | 0.432728i | \(0.142449\pi\) | |||||||
\(822\) | −0.836551 | + | 13.3542i | −0.0291781 | + | 0.465781i | ||||
\(823\) | 19.4664 | − | 13.2720i | 0.678557 | − | 0.462632i | −0.174358 | − | 0.984682i | \(-0.555785\pi\) |
0.852915 | + | 0.522050i | \(0.174833\pi\) | |||||||
\(824\) | 3.88959 | − | 4.87739i | 0.135500 | − | 0.169912i | ||||
\(825\) | 30.7871 | − | 29.2756i | 1.07187 | − | 1.01924i | ||||
\(826\) | −15.6596 | + | 5.18389i | −0.544867 | + | 0.180371i | ||||
\(827\) | 15.6197 | + | 7.52204i | 0.543149 | + | 0.261567i | 0.685278 | − | 0.728281i | \(-0.259681\pi\) |
−0.142129 | + | 0.989848i | \(0.545395\pi\) | |||||||
\(828\) | 9.10237 | + | 14.9107i | 0.316329 | + | 0.518182i | ||||
\(829\) | −26.7394 | + | 8.24801i | −0.928697 | + | 0.286465i | −0.721963 | − | 0.691932i | \(-0.756760\pi\) |
−0.206734 | + | 0.978397i | \(0.566284\pi\) | |||||||
\(830\) | −1.28443 | + | 0.618547i | −0.0445831 | + | 0.0214701i | ||||
\(831\) | 9.78239 | + | 6.49559i | 0.339347 | + | 0.225330i | ||||
\(832\) | 1.59420 | + | 2.76123i | 0.0552688 | + | 0.0957283i | ||||
\(833\) | 30.4058 | − | 41.5073i | 1.05350 | − | 1.43814i | ||||
\(834\) | −7.17148 | + | 33.2933i | −0.248328 | + | 1.15285i | ||||
\(835\) | −0.952711 | + | 2.42747i | −0.0329699 | + | 0.0840060i | ||||
\(836\) | 26.8603 | + | 18.3130i | 0.928982 | + | 0.633369i | ||||
\(837\) | 39.3648 | − | 7.42030i | 1.36065 | − | 0.256483i | ||||
\(838\) | −2.20337 | + | 29.4019i | −0.0761140 | + | 1.01567i | ||||
\(839\) | 7.00806 | − | 4.77801i | 0.241945 | − | 0.164955i | −0.436277 | − | 0.899812i | \(-0.643703\pi\) |
0.678222 | + | 0.734857i | \(0.262751\pi\) | |||||||
\(840\) | −1.34981 | + | 0.248861i | −0.0465728 | + | 0.00858652i | ||||
\(841\) | −4.47941 | − | 3.05401i | −0.154463 | − | 0.105311i | ||||
\(842\) | 5.51650 | − | 6.91748i | 0.190111 | − | 0.238392i | ||||
\(843\) | 15.0602 | − | 19.3665i | 0.518702 | − | 0.667016i | ||||
\(844\) | 7.66948 | + | 9.61722i | 0.263994 | + | 0.331038i | ||||
\(845\) | 0.811166 | + | 0.250211i | 0.0279049 | + | 0.00860754i | ||||
\(846\) | 10.4349 | − | 10.1686i | 0.358759 | − | 0.349604i | ||||
\(847\) | 36.6083 | + | 4.75320i | 1.25788 | + | 0.163322i | ||||
\(848\) | 1.05533 | + | 2.68893i | 0.0362400 | + | 0.0923381i | ||||
\(849\) | −1.72872 | + | 2.22302i | −0.0593294 | + | 0.0762938i | ||||
\(850\) | 34.4889 | + | 10.6384i | 1.18296 | + | 0.364895i | ||||
\(851\) | 11.1098 | − | 19.2427i | 0.380838 | − | 0.659630i | ||||
\(852\) | 1.72960 | − | 8.02959i | 0.0592550 | − | 0.275089i | ||||
\(853\) | 18.1852 | + | 5.60938i | 0.622649 | + | 0.192062i | 0.589997 | − | 0.807405i | \(-0.299129\pi\) |
0.0326512 | + | 0.999467i | \(0.489605\pi\) | |||||||
\(854\) | 33.5600 | − | 17.0170i | 1.14840 | − | 0.582311i | ||||
\(855\) | −5.80201 | − | 0.729778i | −0.198425 | − | 0.0249579i | ||||
\(856\) | −12.0478 | − | 11.1787i | −0.411785 | − | 0.382081i | ||||
\(857\) | 11.8919 | − | 14.9120i | 0.406220 | − | 0.509384i | −0.536074 | − | 0.844171i | \(-0.680093\pi\) |
0.942294 | + | 0.334788i | \(0.108665\pi\) | |||||||
\(858\) | 17.4624 | + | 21.3556i | 0.596155 | + | 0.729070i | ||||
\(859\) | 1.52939 | − | 6.70072i | 0.0521823 | − | 0.228625i | −0.942112 | − | 0.335299i | \(-0.891163\pi\) |
0.994294 | + | 0.106673i | \(0.0340199\pi\) | |||||||
\(860\) | −2.53627 | + | 0.782335i | −0.0864860 | + | 0.0266774i | ||||
\(861\) | −1.30735 | − | 4.97203i | −0.0445543 | − | 0.169446i | ||||
\(862\) | 19.4246 | + | 5.99169i | 0.661604 | + | 0.204078i | ||||
\(863\) | 13.3671 | − | 23.1525i | 0.455022 | − | 0.788121i | −0.543668 | − | 0.839301i | \(-0.682965\pi\) |
0.998689 | + | 0.0511795i | \(0.0162981\pi\) | |||||||
\(864\) | 2.07464 | + | 4.76402i | 0.0705806 | + | 0.162075i | ||||
\(865\) | 0.685504 | − | 0.636055i | 0.0233078 | − | 0.0216265i | ||||
\(866\) | 0.0388588 | + | 0.518534i | 0.00132048 | + | 0.0176205i | ||||
\(867\) | −40.5976 | − | 49.6490i | −1.37877 | − | 1.68617i | ||||
\(868\) | −7.83902 | − | 18.8300i | −0.266074 | − | 0.639134i | ||||
\(869\) | −2.95927 | + | 7.54009i | −0.100386 | + | 0.255780i | ||||
\(870\) | −1.28614 | − | 2.16600i | −0.0436041 | − | 0.0734342i | ||||
\(871\) | 21.1809 | + | 26.5600i | 0.717688 | + | 0.899952i | ||||
\(872\) | −0.305116 | − | 4.07149i | −0.0103325 | − | 0.137878i | ||||
\(873\) | −34.4939 | − | 22.3009i | −1.16744 | − | 0.754770i | ||||
\(874\) | 34.1439 | − | 16.4428i | 1.15493 | − | 0.556187i | ||||
\(875\) | 7.78800 | + | 1.01119i | 0.263282 | + | 0.0341844i | ||||
\(876\) | −9.54786 | − | 1.31982i | −0.322592 | − | 0.0445925i | ||||
\(877\) | −15.3837 | + | 7.40841i | −0.519471 | + | 0.250164i | −0.675199 | − | 0.737636i | \(-0.735942\pi\) |
0.155727 | + | 0.987800i | \(0.450228\pi\) | |||||||
\(878\) | −6.57174 | − | 6.09768i | −0.221785 | − | 0.205787i | ||||
\(879\) | −50.6197 | − | 14.9382i | −1.70736 | − | 0.503852i | ||||
\(880\) | 0.546611 | − | 1.39274i | 0.0184263 | − | 0.0469494i | ||||
\(881\) | −37.8181 | −1.27412 | −0.637062 | − | 0.770813i | \(-0.719851\pi\) | ||||
−0.637062 | + | 0.770813i | \(0.719851\pi\) | |||||||
\(882\) | −20.4289 | − | 4.86433i | −0.687875 | − | 0.163790i | ||||
\(883\) | −19.8067 | −0.666547 | −0.333274 | − | 0.942830i | \(-0.608153\pi\) | ||||
−0.333274 | + | 0.942830i | \(0.608153\pi\) | |||||||
\(884\) | −8.56207 | + | 21.8158i | −0.287974 | + | 0.733745i | ||||
\(885\) | 0.758256 | + | 3.14426i | 0.0254885 | + | 0.105693i | ||||
\(886\) | 20.3148 | + | 18.8494i | 0.682489 | + | 0.633257i | ||||
\(887\) | 40.9211 | − | 19.7066i | 1.37400 | − | 0.661681i | 0.406285 | − | 0.913746i | \(-0.366824\pi\) |
0.967710 | + | 0.252065i | \(0.0811096\pi\) | |||||||
\(888\) | 4.05712 | − | 5.21719i | 0.136148 | − | 0.175077i | ||||
\(889\) | −46.4403 | + | 15.3734i | −1.55756 | + | 0.515608i | ||||
\(890\) | 1.84090 | − | 0.886530i | 0.0617071 | − | 0.0297166i | ||||
\(891\) | 24.3570 | + | 37.7877i | 0.815991 | + | 1.26594i | ||||
\(892\) | −0.978933 | − | 13.0629i | −0.0327771 | − | 0.437380i | ||||
\(893\) | −19.7068 | − | 24.7115i | −0.659462 | − | 0.826939i | ||||
\(894\) | −20.1588 | + | 35.9243i | −0.674211 | + | 1.20149i | ||||
\(895\) | −1.03353 | + | 2.63338i | −0.0345470 | + | 0.0880243i | ||||
\(896\) | 2.15504 | − | 1.53486i | 0.0719948 | − | 0.0512762i | ||||
\(897\) | 31.7379 | − | 5.18171i | 1.05970 | − | 0.173012i | ||||
\(898\) | −2.21274 | − | 29.5270i | −0.0738401 | − | 0.985328i | ||||
\(899\) | 27.4411 | − | 25.4616i | 0.915213 | − | 0.849193i | ||||
\(900\) | −1.46003 | − | 14.6583i | −0.0486675 | − | 0.488611i | ||||
\(901\) | −10.6162 | + | 18.3877i | −0.353675 | + | 0.612584i | ||||
\(902\) | 5.35506 | + | 1.65182i | 0.178304 | + | 0.0549995i | ||||
\(903\) | −40.3318 | − | 4.73551i | −1.34216 | − | 0.157588i | ||||
\(904\) | 2.10316 | − | 0.648740i | 0.0699502 | − | 0.0215768i | ||||
\(905\) | 0.337562 | − | 1.47896i | 0.0112209 | − | 0.0491622i | ||||
\(906\) | 1.69879 | − | 0.277355i | 0.0564386 | − | 0.00921449i | ||||
\(907\) | −34.7290 | + | 43.5487i | −1.15316 | + | 1.44601i | −0.279051 | + | 0.960276i | \(0.590020\pi\) |
−0.874105 | + | 0.485736i | \(0.838552\pi\) | |||||||
\(908\) | 12.2262 | + | 11.3443i | 0.405741 | + | 0.376472i | ||||
\(909\) | −11.0440 | − | 26.2328i | −0.366305 | − | 0.870088i | ||||
\(910\) | −0.511659 | + | 2.47428i | −0.0169613 | + | 0.0820215i | ||||
\(911\) | −16.9043 | − | 5.21430i | −0.560066 | − | 0.172757i | 0.00178160 | − | 0.999998i | \(-0.499433\pi\) |
−0.561847 | + | 0.827241i | \(0.689909\pi\) | |||||||
\(912\) | 10.7299 | − | 3.45409i | 0.355302 | − | 0.114376i | ||||
\(913\) | 11.8880 | − | 20.5906i | 0.393435 | − | 0.681449i | ||||
\(914\) | 25.8847 | + | 7.98437i | 0.856189 | + | 0.264099i | ||||
\(915\) | −2.77935 | − | 6.83453i | −0.0918826 | − | 0.225943i | ||||
\(916\) | 1.70714 | + | 4.34973i | 0.0564056 | + | 0.143719i | ||||
\(917\) | −4.87167 | + | 13.2017i | −0.160877 | + | 0.435958i | ||||
\(918\) | −17.8698 | + | 33.7553i | −0.589792 | + | 1.11409i | ||||
\(919\) | 1.07369 | + | 0.331191i | 0.0354179 | + | 0.0109250i | 0.312414 | − | 0.949946i | \(-0.398863\pi\) |
−0.276996 | + | 0.960871i | \(0.589339\pi\) | |||||||
\(920\) | −1.08745 | − | 1.36361i | −0.0358520 | − | 0.0449570i | ||||
\(921\) | 30.0117 | + | 4.14858i | 0.988920 | + | 0.136700i | ||||
\(922\) | −21.9059 | + | 27.4691i | −0.721431 | + | 0.904646i | ||||
\(923\) | −12.4928 | − | 8.51742i | −0.411204 | − | 0.280354i | ||||
\(924\) | 16.2621 | − | 16.1106i | 0.534984 | − | 0.530001i | ||||
\(925\) | −15.4807 | + | 10.5545i | −0.509001 | + | 0.347031i | ||||
\(926\) | −3.08145 | + | 41.1191i | −0.101263 | + | 1.35126i | ||||
\(927\) | −7.26178 | − | 17.2490i | −0.238508 | − | 0.566531i | ||||
\(928\) | 4.01203 | + | 2.73536i | 0.131701 | + | 0.0897924i | ||||
\(929\) | −16.8386 | + | 42.9040i | −0.552456 | + | 1.40763i | 0.333007 | + | 0.942924i | \(0.391937\pi\) |
−0.885463 | + | 0.464710i | \(0.846159\pi\) | |||||||
\(930\) | −3.80696 | + | 1.22551i | −0.124835 | + | 0.0401861i | ||||
\(931\) | −14.8927 | + | 43.0527i | −0.488089 | + | 1.41100i | ||||
\(932\) | 1.17856 | + | 2.04133i | 0.0386051 | + | 0.0668659i | ||||
\(933\) | −0.839643 | + | 0.417085i | −0.0274887 | + | 0.0136548i | ||||
\(934\) | 8.33669 | − | 4.01474i | 0.272785 | − | 0.131366i | ||||
\(935\) | 10.5088 | − | 3.24153i | 0.343674 | − | 0.106009i | ||||
\(936\) | 9.56231 | − | 0.234099i | 0.312554 | − | 0.00765176i | ||||
\(937\) | −5.07488 | − | 2.44393i | −0.165789 | − | 0.0798398i | 0.349149 | − | 0.937067i | \(-0.386471\pi\) |
−0.514938 | + | 0.857227i | \(0.672185\pi\) | |||||||
\(938\) | 20.2676 | − | 19.5932i | 0.661760 | − | 0.639740i | ||||
\(939\) | −7.57695 | − | 2.23600i | −0.247264 | − | 0.0729692i | ||||
\(940\) | −0.906965 | + | 1.13730i | −0.0295819 | + | 0.0370946i | ||||
\(941\) | 28.0984 | − | 19.1572i | 0.915983 | − | 0.624506i | −0.0108662 | − | 0.999941i | \(-0.503459\pi\) |
0.926849 | + | 0.375435i | \(0.122507\pi\) | |||||||
\(942\) | 5.95224 | + | 3.95234i | 0.193935 | + | 0.128774i | ||||
\(943\) | 4.78888 | − | 4.44343i | 0.155947 | − | 0.144698i | ||||
\(944\) | −3.88724 | − | 4.87444i | −0.126519 | − | 0.158650i | ||||
\(945\) | −1.28277 | + | 3.91276i | −0.0417286 | + | 0.127282i | ||||
\(946\) | 27.5994 | − | 34.6086i | 0.897334 | − | 1.12522i | ||||
\(947\) | 2.74082 | + | 36.5738i | 0.0890648 | + | 1.18849i | 0.845338 | + | 0.534232i | \(0.179399\pi\) |
−0.756273 | + | 0.654256i | \(0.772982\pi\) | |||||||
\(948\) | 1.43395 | + | 2.41493i | 0.0465726 | + | 0.0784334i | ||||
\(949\) | −8.87150 | + | 15.3659i | −0.287981 | + | 0.498798i | ||||
\(950\) | −31.9560 | −1.03679 | ||||||||
\(951\) | 1.54432 | − | 2.75208i | 0.0500779 | − | 0.0892422i | ||||
\(952\) | 18.6968 | + | 5.35037i | 0.605965 | + | 0.173406i | ||||
\(953\) | −0.303584 | + | 1.33009i | −0.00983404 | + | 0.0430858i | −0.979607 | − | 0.200924i | \(-0.935606\pi\) |
0.969773 | + | 0.244009i | \(0.0784628\pi\) | |||||||
\(954\) | 8.59807 | + | 1.08147i | 0.278373 | + | 0.0350138i | ||||
\(955\) | 2.36040 | + | 0.355772i | 0.0763806 | + | 0.0115125i | ||||
\(956\) | −12.6696 | + | 15.8872i | −0.409765 | + | 0.513829i | ||||
\(957\) | 38.0722 | + | 17.7640i | 1.23070 | + | 0.574227i | ||||
\(958\) | 29.4880 | − | 9.09585i | 0.952715 | − | 0.293874i | ||||
\(959\) | 7.07591 | − | 19.1749i | 0.228493 | − | 0.619191i | ||||
\(960\) | −0.264868 | − | 0.446067i | −0.00854856 | − | 0.0143967i | ||||
\(961\) | −14.2158 | − | 24.6225i | −0.458574 | − | 0.794273i | ||||
\(962\) | −6.08301 | − | 10.5361i | −0.196124 | − | 0.339697i | ||||
\(963\) | −46.7451 | + | 15.6817i | −1.50634 | + | 0.505337i | ||||
\(964\) | 2.11156 | − | 1.43963i | 0.0680086 | − | 0.0463675i | ||||
\(965\) | 2.18728 | + | 5.57309i | 0.0704110 | + | 0.179404i | ||||
\(966\) | −6.78591 | − | 25.8078i | −0.218333 | − | 0.830352i | ||||
\(967\) | −11.9212 | + | 30.3747i | −0.383359 | + | 0.976784i | 0.600784 | + | 0.799411i | \(0.294855\pi\) |
−0.984144 | + | 0.177373i | \(0.943240\pi\) | |||||||
\(968\) | 3.10479 | + | 13.6030i | 0.0997917 | + | 0.437216i | ||||
\(969\) | 69.0235 | + | 45.8322i | 2.21735 | + | 1.47234i | ||||
\(970\) | 3.69477 | + | 1.77931i | 0.118632 | + | 0.0571301i | ||||
\(971\) | 22.1824 | + | 56.5198i | 0.711867 | + | 1.81381i | 0.565817 | + | 0.824531i | \(0.308561\pi\) |
0.146050 | + | 0.989277i | \(0.453344\pi\) | |||||||
\(972\) | 15.5276 | + | 1.37636i | 0.498047 | + | 0.0441466i | ||||
\(973\) | 25.0832 | − | 45.5764i | 0.804132 | − | 1.46111i | ||||
\(974\) | 17.0763 | − | 11.6424i | 0.547159 | − | 0.373046i | ||||
\(975\) | −26.0080 | − | 7.67512i | −0.832923 | − | 0.245801i | ||||
\(976\) | 10.4255 | + | 9.67341i | 0.333711 | + | 0.309638i | ||||
\(977\) | −0.151028 | + | 2.01533i | −0.00483181 | + | 0.0644761i | −0.999098 | − | 0.0424530i | \(-0.986483\pi\) |
0.994267 | + | 0.106929i | \(0.0341018\pi\) | |||||||
\(978\) | −29.7274 | − | 19.7393i | −0.950579 | − | 0.631193i | ||||
\(979\) | −17.0384 | + | 29.5114i | −0.544550 | + | 0.943188i | ||||
\(980\) | 2.08426 | + | 0.227317i | 0.0665791 | + | 0.00726138i | ||||
\(981\) | −11.1625 | − | 5.04284i | −0.356391 | − | 0.161006i | ||||
\(982\) | 15.1572 | − | 2.28458i | 0.483685 | − | 0.0729038i | ||||
\(983\) | 10.1617 | − | 4.89359i | 0.324106 | − | 0.156081i | −0.264754 | − | 0.964316i | \(-0.585291\pi\) |
0.588861 | + | 0.808234i | \(0.299577\pi\) | |||||||
\(984\) | 1.59197 | − | 1.11417i | 0.0507503 | − | 0.0355184i | ||||
\(985\) | −2.29050 | + | 1.10305i | −0.0729815 | + | 0.0351460i | ||||
\(986\) | 2.66725 | + | 35.5919i | 0.0849424 | + | 1.13348i | ||||
\(987\) | −19.7255 | + | 10.3074i | −0.627868 | + | 0.328089i | ||||
\(988\) | 1.55065 | − | 20.6919i | 0.0493326 | − | 0.658298i | ||||
\(989\) | −18.8524 | − | 48.0352i | −0.599472 | − | 1.52743i | ||||
\(990\) | −2.88358 | − | 3.43971i | −0.0916463 | − | 0.109321i | ||||
\(991\) | −18.6751 | + | 47.5834i | −0.593234 | + | 1.51154i | 0.246836 | + | 0.969057i | \(0.420609\pi\) |
−0.840070 | + | 0.542478i | \(0.817486\pi\) | |||||||
\(992\) | 5.65123 | − | 5.24358i | 0.179427 | − | 0.166484i | ||||
\(993\) | −3.60110 | + | 57.4858i | −0.114277 | + | 1.82426i | ||||
\(994\) | −6.04950 | + | 10.9920i | −0.191879 | + | 0.348645i | ||||
\(995\) | 3.66001 | + | 0.551658i | 0.116030 | + | 0.0174887i | ||||
\(996\) | −3.10557 | − | 7.63671i | −0.0984038 | − | 0.241979i | ||||
\(997\) | −11.0091 | − | 48.2342i | −0.348663 | − | 1.52759i | −0.780219 | − | 0.625507i | \(-0.784892\pi\) |
0.431556 | − | 0.902086i | \(-0.357965\pi\) | |||||||
\(998\) | −11.5624 | − | 20.0267i | −0.366002 | − | 0.633934i | ||||
\(999\) | −7.91624 | − | 18.1782i | −0.250459 | − | 0.575132i |
(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 | 882.2.y.a.583.22 | ✓ | 336 | |
9.4 | even | 3 | 882.2.bb.b.877.12 | yes | 336 | ||
49.39 | even | 21 | 882.2.bb.b.529.12 | yes | 336 | ||
441.382 | even | 21 | inner | 882.2.y.a.823.22 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.a.583.22 | ✓ | 336 | 1.1 | even | 1 | trivial | |
882.2.y.a.823.22 | yes | 336 | 441.382 | even | 21 | inner | |
882.2.bb.b.529.12 | yes | 336 | 49.39 | even | 21 | ||
882.2.bb.b.877.12 | yes | 336 | 9.4 | even | 3 |