Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), degree \(4\), not 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 128.11 | ||
Character | \(\chi\) | \(=\) | 735.128 |
Dual form | 735.2.y.g.557.11 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.10934 | − | 0.565195i | 1.49153 | − | 0.399653i | 0.581274 | − | 0.813708i | \(-0.302554\pi\) |
0.910252 | + | 0.414055i | \(0.135888\pi\) | |||||||
\(3\) | 1.49688 | − | 0.871409i | 0.864224 | − | 0.503108i | ||||
\(4\) | 2.39780 | − | 1.38437i | 1.19890 | − | 0.692186i | ||||
\(5\) | −1.79786 | − | 1.32955i | −0.804026 | − | 0.594595i | ||||
\(6\) | 2.66491 | − | 2.68412i | 1.08794 | − | 1.09579i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.18705 | − | 1.18705i | 0.419686 | − | 0.419686i | ||||
\(9\) | 1.48129 | − | 2.60879i | 0.493765 | − | 0.869596i | ||||
\(10\) | −4.54374 | − | 1.78834i | −1.43686 | − | 0.565522i | ||||
\(11\) | 2.93155 | − | 1.69253i | 0.883896 | − | 0.510318i | 0.0119552 | − | 0.999929i | \(-0.496194\pi\) |
0.871941 | + | 0.489611i | \(0.162861\pi\) | |||||||
\(12\) | 2.38287 | − | 4.16171i | 0.687875 | − | 1.20138i | ||||
\(13\) | 0.206632 | + | 0.206632i | 0.0573094 | + | 0.0573094i | 0.735181 | − | 0.677871i | \(-0.237097\pi\) |
−0.677871 | + | 0.735181i | \(0.737097\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.84976 | − | 0.423515i | −0.994003 | − | 0.109351i | ||||
\(16\) | −0.935769 | + | 1.62080i | −0.233942 | + | 0.405200i | ||||
\(17\) | 0.0612758 | − | 0.228684i | 0.0148616 | − | 0.0554641i | −0.958097 | − | 0.286444i | \(-0.907527\pi\) |
0.972958 | + | 0.230980i | \(0.0741933\pi\) | |||||||
\(18\) | 1.65007 | − | 6.34003i | 0.388926 | − | 1.49436i | ||||
\(19\) | −4.60222 | − | 2.65710i | −1.05582 | − | 0.609579i | −0.131549 | − | 0.991310i | \(-0.541995\pi\) |
−0.924274 | + | 0.381730i | \(0.875328\pi\) | |||||||
\(20\) | −6.15151 | − | 0.699108i | −1.37552 | − | 0.156325i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.22702 | − | 5.22702i | 1.11440 | − | 1.11440i | ||||
\(23\) | 1.85858 | + | 6.93630i | 0.387540 | + | 1.44632i | 0.834124 | + | 0.551577i | \(0.185974\pi\) |
−0.446584 | + | 0.894742i | \(0.647360\pi\) | |||||||
\(24\) | 0.742466 | − | 2.81128i | 0.151555 | − | 0.573851i | ||||
\(25\) | 1.46457 | + | 4.78069i | 0.292914 | + | 0.956139i | ||||
\(26\) | 0.552644 | + | 0.319069i | 0.108382 | + | 0.0625746i | ||||
\(27\) | −0.0560017 | − | 5.19585i | −0.0107775 | − | 0.999942i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.84268 | 0.527872 | 0.263936 | − | 0.964540i | \(-0.414979\pi\) | ||||
0.263936 | + | 0.964540i | \(0.414979\pi\) | |||||||
\(30\) | −8.35980 | + | 1.28253i | −1.52628 | + | 0.234157i | ||||
\(31\) | 4.55888 | + | 7.89621i | 0.818799 | + | 1.41820i | 0.906568 | + | 0.422060i | \(0.138693\pi\) |
−0.0877689 | + | 0.996141i | \(0.527974\pi\) | |||||||
\(32\) | −1.92677 | + | 7.19079i | −0.340607 | + | 1.27116i | ||||
\(33\) | 2.91329 | − | 5.08810i | 0.507139 | − | 0.885724i | ||||
\(34\) | − | 0.517005i | − | 0.0886657i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.0596812 | − | 8.30602i | −0.00994686 | − | 1.38434i | ||||
\(37\) | −1.92900 | − | 7.19913i | −0.317126 | − | 1.18353i | −0.921994 | − | 0.387204i | \(-0.873441\pi\) |
0.604868 | − | 0.796326i | \(-0.293226\pi\) | |||||||
\(38\) | −11.2094 | − | 3.00355i | −1.81841 | − | 0.487241i | ||||
\(39\) | 0.489364 | + | 0.129242i | 0.0783609 | + | 0.0206953i | ||||
\(40\) | −3.71240 | + | 0.555898i | −0.586982 | + | 0.0878952i | ||||
\(41\) | − | 0.0314968i | − | 0.00491898i | −0.999997 | − | 0.00245949i | \(-0.999217\pi\) | ||
0.999997 | − | 0.00245949i | \(-0.000782881\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.76875 | − | 3.76875i | −0.574728 | − | 0.574728i | 0.358718 | − | 0.933446i | \(-0.383214\pi\) |
−0.933446 | + | 0.358718i | \(0.883214\pi\) | |||||||
\(44\) | 4.68619 | − | 8.11672i | 0.706470 | − | 1.22364i | ||||
\(45\) | −6.13168 | + | 2.72076i | −0.914056 | + | 0.405587i | ||||
\(46\) | 7.84073 | + | 13.5805i | 1.15605 | + | 2.00234i | ||||
\(47\) | 4.87178 | − | 1.30539i | 0.710622 | − | 0.190411i | 0.114638 | − | 0.993407i | \(-0.463429\pi\) |
0.595983 | + | 0.802997i | \(0.296762\pi\) | |||||||
\(48\) | 0.0116457 | + | 3.24158i | 0.00168091 | + | 0.467881i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.79130 | + | 9.25632i | 0.819013 | + | 1.30904i | ||||
\(51\) | −0.107555 | − | 0.395709i | −0.0150607 | − | 0.0554104i | ||||
\(52\) | 0.781519 | + | 0.209407i | 0.108377 | + | 0.0290396i | ||||
\(53\) | 4.85336 | + | 1.30045i | 0.666661 | + | 0.178631i | 0.576250 | − | 0.817273i | \(-0.304515\pi\) |
0.0904106 | + | 0.995905i | \(0.471182\pi\) | |||||||
\(54\) | −3.05480 | − | 10.9281i | −0.415705 | − | 1.48713i | ||||
\(55\) | −7.52082 | − | 0.854729i | −1.01411 | − | 0.115252i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −9.20439 | + | 0.0330677i | −1.21915 | + | 0.00437992i | ||||
\(58\) | 5.99616 | − | 1.60667i | 0.787334 | − | 0.210966i | ||||
\(59\) | 5.15839 | + | 8.93459i | 0.671565 | + | 1.16318i | 0.977460 | + | 0.211120i | \(0.0677109\pi\) |
−0.305895 | + | 0.952065i | \(0.598956\pi\) | |||||||
\(60\) | −9.81727 | + | 4.31399i | −1.26740 | + | 0.556934i | ||||
\(61\) | −3.40317 | + | 5.89446i | −0.435731 | + | 0.754708i | −0.997355 | − | 0.0726843i | \(-0.976843\pi\) |
0.561624 | + | 0.827393i | \(0.310177\pi\) | |||||||
\(62\) | 14.0791 | + | 14.0791i | 1.78805 | + | 1.78805i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 12.5137i | 1.56422i | ||||||||
\(65\) | −0.0967660 | − | 0.646223i | −0.0120023 | − | 0.0801541i | ||||
\(66\) | 3.26935 | − | 12.3791i | 0.402429 | − | 1.52376i | ||||
\(67\) | −8.67161 | − | 2.32355i | −1.05941 | − | 0.283867i | −0.313273 | − | 0.949663i | \(-0.601425\pi\) |
−0.746134 | + | 0.665796i | \(0.768092\pi\) | |||||||
\(68\) | −0.169657 | − | 0.633169i | −0.0205740 | − | 0.0767831i | ||||
\(69\) | 8.82642 | + | 8.76323i | 1.06258 | + | 1.05497i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.95454i | 0.469318i | 0.972078 | + | 0.234659i | \(0.0753973\pi\) | ||||
−0.972078 | + | 0.234659i | \(0.924603\pi\) | |||||||
\(72\) | −1.33839 | − | 4.85514i | −0.157731 | − | 0.572184i | ||||
\(73\) | −3.15184 | + | 11.7628i | −0.368895 | + | 1.37673i | 0.493168 | + | 0.869934i | \(0.335839\pi\) |
−0.862063 | + | 0.506801i | \(0.830828\pi\) | |||||||
\(74\) | −8.13783 | − | 14.0951i | −0.946003 | − | 1.63853i | ||||
\(75\) | 6.35822 | + | 5.87988i | 0.734184 | + | 0.678950i | ||||
\(76\) | −14.7136 | −1.68777 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.10528 | − | 0.00397083i | 0.125148 | − | 0.000449608i | ||||
\(79\) | −9.91161 | − | 5.72247i | −1.11514 | − | 0.643828i | −0.174986 | − | 0.984571i | \(-0.555988\pi\) |
−0.940157 | + | 0.340743i | \(0.889322\pi\) | |||||||
\(80\) | 3.83732 | − | 1.66981i | 0.429025 | − | 0.186690i | ||||
\(81\) | −4.61154 | − | 7.72876i | −0.512393 | − | 0.858751i | ||||
\(82\) | −0.0178019 | − | 0.0664374i | −0.00196589 | − | 0.00733679i | ||||
\(83\) | 3.88059 | − | 3.88059i | 0.425951 | − | 0.425951i | −0.461296 | − | 0.887246i | \(-0.652615\pi\) |
0.887246 | + | 0.461296i | \(0.152615\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.414214 | + | 0.329672i | −0.0449278 | + | 0.0357580i | ||||
\(86\) | −10.0796 | − | 5.81948i | −1.08691 | − | 0.627530i | ||||
\(87\) | 4.25514 | − | 2.47713i | 0.456199 | − | 0.265576i | ||||
\(88\) | 1.47078 | − | 5.48903i | 0.156786 | − | 0.585133i | ||||
\(89\) | −1.00095 | + | 1.73369i | −0.106100 | + | 0.183771i | −0.914187 | − | 0.405292i | \(-0.867170\pi\) |
0.808087 | + | 0.589063i | \(0.200503\pi\) | |||||||
\(90\) | −11.3960 | + | 9.20459i | −1.20124 | + | 0.970249i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 14.0589 | + | 14.0589i | 1.46574 | + | 1.46574i | ||||
\(93\) | 13.7049 | + | 7.84702i | 1.42113 | + | 0.813699i | ||||
\(94\) | 9.53842 | − | 5.50701i | 0.983813 | − | 0.568005i | ||||
\(95\) | 4.74138 | + | 10.8960i | 0.486456 | + | 1.11790i | ||||
\(96\) | 3.38198 | + | 12.4427i | 0.345172 | + | 1.26993i | ||||
\(97\) | −2.26760 | + | 2.26760i | −0.230240 | + | 0.230240i | −0.812793 | − | 0.582553i | \(-0.802054\pi\) |
0.582553 | + | 0.812793i | \(0.302054\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0729661 | − | 10.1549i | −0.00733337 | − | 1.02061i | ||||
\(100\) | 10.1300 | + | 9.43566i | 1.01300 | + | 0.943566i | ||||
\(101\) | 7.47926 | − | 4.31815i | 0.744214 | − | 0.429672i | −0.0793855 | − | 0.996844i | \(-0.525296\pi\) |
0.823599 | + | 0.567172i | \(0.191962\pi\) | |||||||
\(102\) | −0.450523 | − | 0.773894i | −0.0446084 | − | 0.0766270i | ||||
\(103\) | 1.31730 | − | 0.352970i | 0.129798 | − | 0.0347792i | −0.193335 | − | 0.981133i | \(-0.561931\pi\) |
0.323133 | + | 0.946354i | \(0.395264\pi\) | |||||||
\(104\) | 0.490566 | 0.0481039 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.9724 | 1.06573 | ||||||||
\(107\) | −4.04135 | + | 1.08288i | −0.390692 | + | 0.104686i | −0.448817 | − | 0.893624i | \(-0.648155\pi\) |
0.0581249 | + | 0.998309i | \(0.481488\pi\) | |||||||
\(108\) | −7.32728 | − | 12.3811i | −0.705068 | − | 1.19137i | ||||
\(109\) | 2.44377 | − | 1.41091i | 0.234070 | − | 0.135141i | −0.378378 | − | 0.925651i | \(-0.623518\pi\) |
0.612448 | + | 0.790511i | \(0.290185\pi\) | |||||||
\(110\) | −16.3470 | + | 2.44782i | −1.55863 | + | 0.233391i | ||||
\(111\) | −9.16087 | − | 9.09528i | −0.869511 | − | 0.863286i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.01798 | + | 2.01798i | −0.189835 | + | 0.189835i | −0.795625 | − | 0.605790i | \(-0.792857\pi\) |
0.605790 | + | 0.795625i | \(0.292857\pi\) | |||||||
\(114\) | −19.3965 | + | 5.27203i | −1.81665 | + | 0.493770i | ||||
\(115\) | 5.88074 | − | 14.9415i | 0.548382 | − | 1.39331i | ||||
\(116\) | 6.81618 | − | 3.93532i | 0.632866 | − | 0.365386i | ||||
\(117\) | 0.845141 | − | 0.232976i | 0.0781333 | − | 0.0215386i | ||||
\(118\) | 15.9306 | + | 15.9306i | 1.46653 | + | 1.46653i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.07260 | + | 4.06713i | −0.463063 | + | 0.371276i | ||||
\(121\) | 0.229334 | − | 0.397218i | 0.0208485 | − | 0.0361107i | ||||
\(122\) | −3.84691 | + | 14.3569i | −0.348283 | + | 1.29981i | ||||
\(123\) | −0.0274466 | − | 0.0471470i | −0.00247478 | − | 0.00425110i | ||||
\(124\) | 21.8626 | + | 12.6224i | 1.96332 | + | 1.13352i | ||||
\(125\) | 3.72311 | − | 10.5422i | 0.333005 | − | 0.942925i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.6271 | + | 11.6271i | −1.03174 | + | 1.03174i | −0.0322583 | + | 0.999480i | \(0.510270\pi\) |
−0.999480 | + | 0.0322583i | \(0.989730\pi\) | |||||||
\(128\) | 3.21916 | + | 12.0141i | 0.284536 | + | 1.06190i | ||||
\(129\) | −8.92547 | − | 2.35724i | −0.785844 | − | 0.207543i | ||||
\(130\) | −0.569354 | − | 1.30841i | −0.0499356 | − | 0.114755i | ||||
\(131\) | −10.9997 | − | 6.35067i | −0.961047 | − | 0.554861i | −0.0645519 | − | 0.997914i | \(-0.520562\pi\) |
−0.896495 | + | 0.443054i | \(0.853895\pi\) | |||||||
\(132\) | −0.0583199 | − | 16.2333i | −0.00507609 | − | 1.41293i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −19.6046 | −1.69358 | ||||||||
\(135\) | −6.80748 | + | 9.41585i | −0.585895 | + | 0.810387i | ||||
\(136\) | −0.198723 | − | 0.344198i | −0.0170403 | − | 0.0295147i | ||||
\(137\) | 1.90132 | − | 7.09583i | 0.162441 | − | 0.606238i | −0.835912 | − | 0.548864i | \(-0.815061\pi\) |
0.998353 | − | 0.0573740i | \(-0.0182727\pi\) | |||||||
\(138\) | 23.5708 | + | 13.4959i | 2.00648 | + | 1.14885i | ||||
\(139\) | − | 12.3138i | − | 1.04444i | −0.852810 | − | 0.522221i | \(-0.825103\pi\) | ||
0.852810 | − | 0.522221i | \(-0.174897\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.15493 | − | 6.19932i | 0.518339 | − | 0.522077i | ||||
\(142\) | 2.23509 | + | 8.34146i | 0.187564 | + | 0.700000i | ||||
\(143\) | 0.955484 | + | 0.256021i | 0.0799016 | + | 0.0214096i | ||||
\(144\) | 2.84217 | + | 4.84210i | 0.236848 | + | 0.403508i | ||||
\(145\) | −5.11072 | − | 3.77949i | −0.424422 | − | 0.313870i | ||||
\(146\) | 26.5932i | 2.20087i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.5917 | − | 14.5917i | −1.19943 | − | 1.19943i | ||||
\(149\) | 9.46749 | − | 16.3982i | 0.775607 | − | 1.34339i | −0.158846 | − | 0.987303i | \(-0.550777\pi\) |
0.934453 | − | 0.356087i | \(-0.115889\pi\) | |||||||
\(150\) | 16.7349 | + | 8.80901i | 1.36640 | + | 0.719253i | ||||
\(151\) | 0.952635 | + | 1.65001i | 0.0775243 | + | 0.134276i | 0.902181 | − | 0.431357i | \(-0.141965\pi\) |
−0.824657 | + | 0.565633i | \(0.808632\pi\) | |||||||
\(152\) | −8.61719 | + | 2.30897i | −0.698947 | + | 0.187282i | ||||
\(153\) | −0.505822 | − | 0.498604i | −0.0408933 | − | 0.0403098i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.30223 | − | 20.2575i | 0.184920 | − | 1.62712i | ||||
\(156\) | 1.35232 | − | 0.367565i | 0.108272 | − | 0.0294287i | ||||
\(157\) | −5.89752 | − | 1.58024i | −0.470673 | − | 0.126117i | 0.0156832 | − | 0.999877i | \(-0.495008\pi\) |
−0.486356 | + | 0.873760i | \(0.661674\pi\) | |||||||
\(158\) | −24.1412 | − | 6.46862i | −1.92057 | − | 0.514616i | ||||
\(159\) | 8.39813 | − | 2.28264i | 0.666015 | − | 0.181025i | ||||
\(160\) | 13.0246 | − | 10.3663i | 1.02968 | − | 0.819525i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −14.0955 | − | 13.6961i | −1.10745 | − | 1.07607i | ||||
\(163\) | −4.88565 | + | 1.30911i | −0.382674 | + | 0.102537i | −0.445027 | − | 0.895517i | \(-0.646806\pi\) |
0.0623534 | + | 0.998054i | \(0.480139\pi\) | |||||||
\(164\) | −0.0436034 | − | 0.0755233i | −0.00340485 | − | 0.00589738i | ||||
\(165\) | −12.0026 | + | 5.27428i | −0.934400 | + | 0.410602i | ||||
\(166\) | 5.99219 | − | 10.3788i | 0.465084 | − | 0.805549i | ||||
\(167\) | −6.39241 | − | 6.39241i | −0.494659 | − | 0.494659i | 0.415111 | − | 0.909771i | \(-0.363743\pi\) |
−0.909771 | + | 0.415111i | \(0.863743\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 12.9146i | − | 0.993431i | ||||||
\(170\) | −0.687387 | + | 0.929501i | −0.0527202 | + | 0.0712895i | ||||
\(171\) | −13.7490 | + | 8.07028i | −1.05142 | + | 0.617150i | ||||
\(172\) | −14.2541 | − | 3.81937i | −1.08686 | − | 0.291224i | ||||
\(173\) | 1.42307 | + | 5.31098i | 0.108194 | + | 0.403786i | 0.998688 | − | 0.0512092i | \(-0.0163075\pi\) |
−0.890494 | + | 0.454995i | \(0.849641\pi\) | |||||||
\(174\) | 7.57546 | − | 7.63009i | 0.574294 | − | 0.578436i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 6.33528i | 0.477540i | ||||||||
\(177\) | 15.5072 | + | 8.87894i | 1.16559 | + | 0.667382i | ||||
\(178\) | −1.13146 | + | 4.22268i | −0.0848067 | + | 0.316503i | ||||
\(179\) | −7.31611 | − | 12.6719i | −0.546832 | − | 0.947141i | −0.998489 | − | 0.0549491i | \(-0.982500\pi\) |
0.451657 | − | 0.892192i | \(-0.350833\pi\) | |||||||
\(180\) | −10.9360 | + | 15.0124i | −0.815122 | + | 1.11896i | ||||
\(181\) | 9.83718 | 0.731192 | 0.365596 | − | 0.930774i | \(-0.380865\pi\) | ||||
0.365596 | + | 0.930774i | \(0.380865\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.0423526 | + | 11.7888i | 0.00313079 | + | 0.871456i | ||||
\(184\) | 10.4400 | + | 6.02753i | 0.769646 | + | 0.444355i | ||||
\(185\) | −6.10357 | + | 15.5077i | −0.448743 | + | 1.14015i | ||||
\(186\) | 33.3434 | + | 8.80607i | 2.44486 | + | 0.645692i | ||||
\(187\) | −0.207423 | − | 0.774112i | −0.0151682 | − | 0.0566087i | ||||
\(188\) | 9.87442 | − | 9.87442i | 0.720166 | − | 0.720166i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.1595 | + | 20.3035i | 1.17234 | + | 1.47297i | ||||
\(191\) | 5.52426 | + | 3.18943i | 0.399721 | + | 0.230779i | 0.686364 | − | 0.727259i | \(-0.259206\pi\) |
−0.286643 | + | 0.958038i | \(0.592539\pi\) | |||||||
\(192\) | 10.9046 | + | 18.7315i | 0.786969 | + | 1.35183i | ||||
\(193\) | 2.76838 | − | 10.3317i | 0.199272 | − | 0.743695i | −0.791847 | − | 0.610720i | \(-0.790880\pi\) |
0.991119 | − | 0.132975i | \(-0.0424531\pi\) | |||||||
\(194\) | −3.50149 | + | 6.06477i | −0.251393 | + | 0.435425i | ||||
\(195\) | −0.707971 | − | 0.882995i | −0.0506989 | − | 0.0632326i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.01490 | + | 1.01490i | 0.0723090 | + | 0.0723090i | 0.742336 | − | 0.670027i | \(-0.233718\pi\) |
−0.670027 | + | 0.742336i | \(0.733718\pi\) | |||||||
\(198\) | −5.89343 | − | 21.3789i | −0.418828 | − | 1.51933i | ||||
\(199\) | 8.14100 | − | 4.70021i | 0.577100 | − | 0.333189i | −0.182880 | − | 0.983135i | \(-0.558542\pi\) |
0.759980 | + | 0.649946i | \(0.225209\pi\) | |||||||
\(200\) | 7.41346 | + | 3.93641i | 0.524211 | + | 0.278346i | ||||
\(201\) | −15.0051 | + | 4.07844i | −1.05838 | + | 0.287671i | ||||
\(202\) | 13.3357 | − | 13.3357i | 0.938295 | − | 0.938295i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.805705 | − | 0.799937i | −0.0564107 | − | 0.0560068i | ||||
\(205\) | −0.0418768 | + | 0.0566268i | −0.00292480 | + | 0.00395499i | ||||
\(206\) | 2.57914 | − | 1.48907i | 0.179697 | − | 0.103748i | ||||
\(207\) | 20.8484 | + | 5.42607i | 1.44907 | + | 0.377138i | ||||
\(208\) | −0.528269 | + | 0.141549i | −0.0366288 | + | 0.00981467i | ||||
\(209\) | −17.9889 | −1.24432 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.29157 | −0.570815 | −0.285407 | − | 0.958406i | \(-0.592129\pi\) | ||||
−0.285407 | + | 0.958406i | \(0.592129\pi\) | |||||||
\(212\) | 13.4377 | − | 3.60063i | 0.922907 | − | 0.247292i | ||||
\(213\) | 3.44602 | + | 5.91947i | 0.236117 | + | 0.405595i | ||||
\(214\) | −7.91253 | + | 4.56830i | −0.540890 | + | 0.312283i | ||||
\(215\) | 1.76491 | + | 11.7864i | 0.120366 | + | 0.803827i | ||||
\(216\) | −6.23422 | − | 6.10127i | −0.424185 | − | 0.415139i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.35729 | − | 4.35729i | 0.295113 | − | 0.295113i | ||||
\(219\) | 5.53231 | + | 20.3541i | 0.373839 | + | 1.37540i | ||||
\(220\) | −19.2167 | + | 8.36215i | −1.29559 | + | 0.563776i | ||||
\(221\) | 0.0599151 | − | 0.0345920i | 0.00403032 | − | 0.00232691i | ||||
\(222\) | −24.4640 | − | 14.0073i | −1.64191 | − | 0.940111i | ||||
\(223\) | −3.86020 | − | 3.86020i | −0.258498 | − | 0.258498i | 0.565945 | − | 0.824443i | \(-0.308511\pi\) |
−0.824443 | + | 0.565945i | \(0.808511\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.6413 | + | 3.26086i | 0.976085 | + | 0.217391i | ||||
\(226\) | −3.11604 | + | 5.39714i | −0.207276 | + | 0.359012i | ||||
\(227\) | 0.551744 | − | 2.05914i | 0.0366205 | − | 0.136670i | −0.945195 | − | 0.326505i | \(-0.894129\pi\) |
0.981816 | + | 0.189836i | \(0.0607955\pi\) | |||||||
\(228\) | −22.0245 | + | 12.8216i | −1.45861 | + | 0.849131i | ||||
\(229\) | 5.42139 | + | 3.13004i | 0.358256 | + | 0.206839i | 0.668315 | − | 0.743878i | \(-0.267016\pi\) |
−0.310060 | + | 0.950717i | \(0.600349\pi\) | |||||||
\(230\) | 3.95957 | − | 34.8405i | 0.261086 | − | 2.29732i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.37440 | − | 3.37440i | 0.221541 | − | 0.221541i | ||||
\(233\) | 0.978831 | + | 3.65305i | 0.0641254 | + | 0.239319i | 0.990548 | − | 0.137166i | \(-0.0437993\pi\) |
−0.926423 | + | 0.376485i | \(0.877133\pi\) | |||||||
\(234\) | 1.65101 | − | 0.969094i | 0.107930 | − | 0.0633517i | ||||
\(235\) | −10.4943 | − | 4.13039i | −0.684575 | − | 0.269437i | ||||
\(236\) | 24.7376 | + | 14.2823i | 1.61028 | + | 0.929696i | ||||
\(237\) | −19.8231 | + | 0.0712164i | −1.28765 | + | 0.00462600i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.08521 | −0.134881 | −0.0674406 | − | 0.997723i | \(-0.521483\pi\) | ||||
−0.0674406 | + | 0.997723i | \(0.521483\pi\) | |||||||
\(240\) | 4.28892 | − | 5.84337i | 0.276848 | − | 0.377188i | ||||
\(241\) | −2.71843 | − | 4.70846i | −0.175110 | − | 0.303299i | 0.765090 | − | 0.643924i | \(-0.222695\pi\) |
−0.940199 | + | 0.340625i | \(0.889361\pi\) | |||||||
\(242\) | 0.259236 | − | 0.967484i | 0.0166644 | − | 0.0621922i | ||||
\(243\) | −13.6378 | − | 7.55048i | −0.874867 | − | 0.484364i | ||||
\(244\) | 18.8450i | 1.20643i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.0845414 | − | 0.0839361i | −0.00539016 | − | 0.00535157i | ||||
\(247\) | −0.401926 | − | 1.50001i | −0.0255739 | − | 0.0954432i | ||||
\(248\) | 14.7848 | + | 3.96159i | 0.938839 | + | 0.251561i | ||||
\(249\) | 2.42720 | − | 9.19036i | 0.153817 | − | 0.582416i | ||||
\(250\) | 1.89487 | − | 24.3414i | 0.119842 | − | 1.53948i | ||||
\(251\) | 23.3428i | 1.47339i | 0.676227 | + | 0.736693i | \(0.263614\pi\) | ||||
−0.676227 | + | 0.736693i | \(0.736386\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.1884 | + | 17.1884i | 1.08063 | + | 1.08063i | ||||
\(254\) | −17.9539 | + | 31.0970i | −1.12653 | + | 1.95120i | ||||
\(255\) | −0.332748 | + | 0.854429i | −0.0208375 | + | 0.0535064i | ||||
\(256\) | 1.06686 | + | 1.84786i | 0.0666788 | + | 0.115491i | ||||
\(257\) | −14.9270 | + | 3.99967i | −0.931120 | + | 0.249493i | −0.692332 | − | 0.721579i | \(-0.743417\pi\) |
−0.238788 | + | 0.971072i | \(0.576750\pi\) | |||||||
\(258\) | −20.1591 | + | 0.0724236i | −1.25505 | + | 0.00450890i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1.12664 | − | 1.41556i | −0.0698712 | − | 0.0877890i | ||||
\(261\) | 4.21084 | − | 7.41593i | 0.260644 | − | 0.459035i | ||||
\(262\) | −26.7914 | − | 7.17874i | −1.65518 | − | 0.443504i | ||||
\(263\) | 24.8355 | + | 6.65464i | 1.53142 | + | 0.410343i | 0.923482 | − | 0.383642i | \(-0.125330\pi\) |
0.607938 | + | 0.793985i | \(0.291997\pi\) | |||||||
\(264\) | −2.58161 | − | 9.49807i | −0.158887 | − | 0.584566i | ||||
\(265\) | −6.99662 | − | 8.79084i | −0.429799 | − | 0.540017i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.0124569 | + | 3.46737i | 0.000762347 | + | 0.212199i | ||||
\(268\) | −24.0095 | + | 6.43333i | −1.46661 | + | 0.392978i | ||||
\(269\) | −14.2562 | − | 24.6925i | −0.869219 | − | 1.50553i | −0.862796 | − | 0.505552i | \(-0.831289\pi\) |
−0.00642235 | − | 0.999979i | \(-0.502044\pi\) | |||||||
\(270\) | −9.03748 | + | 23.7087i | −0.550004 | + | 1.44287i | ||||
\(271\) | 1.56107 | − | 2.70385i | 0.0948282 | − | 0.164247i | −0.814709 | − | 0.579870i | \(-0.803103\pi\) |
0.909537 | + | 0.415623i | \(0.136436\pi\) | |||||||
\(272\) | 0.313312 | + | 0.313312i | 0.0189973 | + | 0.0189973i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 16.0421i | − | 0.969139i | ||||||
\(275\) | 12.3849 | + | 11.5360i | 0.746840 | + | 0.695648i | ||||
\(276\) | 33.2956 | + | 8.79345i | 2.00416 | + | 0.529303i | ||||
\(277\) | −16.7299 | − | 4.48278i | −1.00520 | − | 0.269344i | −0.281580 | − | 0.959538i | \(-0.590859\pi\) |
−0.723625 | + | 0.690194i | \(0.757525\pi\) | |||||||
\(278\) | −6.95970 | − | 25.9739i | −0.417415 | − | 1.55781i | ||||
\(279\) | 27.3526 | − | 0.196536i | 1.63756 | − | 0.0117663i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.7181i | 0.758698i | 0.925254 | + | 0.379349i | \(0.123852\pi\) | ||||
−0.925254 | + | 0.379349i | \(0.876148\pi\) | |||||||
\(282\) | 9.47900 | − | 16.5552i | 0.564466 | − | 0.985847i | ||||
\(283\) | 7.25721 | − | 27.0843i | 0.431396 | − | 1.60999i | −0.318150 | − | 0.948041i | \(-0.603061\pi\) |
0.749546 | − | 0.661952i | \(-0.230272\pi\) | |||||||
\(284\) | 5.47456 | + | 9.48222i | 0.324855 | + | 0.562666i | ||||
\(285\) | 16.5921 | + | 12.1783i | 0.982833 | + | 0.721379i | ||||
\(286\) | 2.16014 | 0.127732 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 15.9051 | + | 15.6782i | 0.937219 | + | 0.923847i | ||||
\(289\) | 14.6739 | + | 8.47197i | 0.863170 | + | 0.498351i | ||||
\(290\) | −12.9164 | − | 5.08367i | −0.758476 | − | 0.298523i | ||||
\(291\) | −1.41832 | + | 5.37033i | −0.0831432 | + | 0.314814i | ||||
\(292\) | 8.72664 | + | 32.5683i | 0.510688 | + | 1.90591i | ||||
\(293\) | −6.72836 | + | 6.72836i | −0.393075 | + | 0.393075i | −0.875782 | − | 0.482707i | \(-0.839654\pi\) |
0.482707 | + | 0.875782i | \(0.339654\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.60499 | − | 22.9215i | 0.151668 | − | 1.33454i | ||||
\(296\) | −10.8356 | − | 6.25592i | −0.629805 | − | 0.363618i | ||||
\(297\) | −8.95832 | − | 15.1371i | −0.519814 | − | 0.878345i | ||||
\(298\) | 10.7020 | − | 39.9402i | 0.619948 | − | 2.31368i | ||||
\(299\) | −1.04922 | + | 1.81730i | −0.0606780 | + | 0.105097i | ||||
\(300\) | 23.3857 | + | 5.29665i | 1.35018 | + | 0.305802i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.94201 | + | 2.94201i | 0.169293 | + | 0.169293i | ||||
\(303\) | 7.43267 | − | 12.9812i | 0.426996 | − | 0.745753i | ||||
\(304\) | 8.61324 | − | 4.97285i | 0.494003 | − | 0.285213i | ||||
\(305\) | 13.9554 | − | 6.07269i | 0.799084 | − | 0.347721i | ||||
\(306\) | −1.34876 | − | 0.765837i | −0.0771033 | − | 0.0437800i | ||||
\(307\) | −10.1105 | + | 10.1105i | −0.577034 | + | 0.577034i | −0.934085 | − | 0.357051i | \(-0.883782\pi\) |
0.357051 | + | 0.934085i | \(0.383782\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.66426 | − | 1.67626i | 0.0946765 | − | 0.0953592i | ||||
\(310\) | −6.59326 | − | 44.0311i | −0.374472 | − | 2.50080i | ||||
\(311\) | 0.341348 | − | 0.197078i | 0.0193561 | − | 0.0111752i | −0.490291 | − | 0.871559i | \(-0.663109\pi\) |
0.509647 | + | 0.860384i | \(0.329776\pi\) | |||||||
\(312\) | 0.734318 | − | 0.427483i | 0.0415726 | − | 0.0242015i | ||||
\(313\) | −14.1807 | + | 3.79970i | −0.801539 | + | 0.214772i | −0.636260 | − | 0.771475i | \(-0.719519\pi\) |
−0.165279 | + | 0.986247i | \(0.552853\pi\) | |||||||
\(314\) | −13.3330 | −0.752424 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −31.6881 | −1.78260 | ||||||||
\(317\) | −27.0575 | + | 7.25005i | −1.51970 | + | 0.407203i | −0.919644 | − | 0.392753i | \(-0.871523\pi\) |
−0.600059 | + | 0.799956i | \(0.704856\pi\) | |||||||
\(318\) | 16.4243 | − | 9.56143i | 0.921031 | − | 0.536179i | ||||
\(319\) | 8.33345 | − | 4.81132i | 0.466584 | − | 0.269382i | ||||
\(320\) | 16.6377 | − | 22.4979i | 0.930074 | − | 1.25767i | ||||
\(321\) | −5.10579 | + | 5.14260i | −0.284977 | + | 0.287032i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.889642 | + | 0.889642i | −0.0495010 | + | 0.0495010i | ||||
\(324\) | −21.7570 | − | 12.1480i | −1.20872 | − | 0.674887i | ||||
\(325\) | −0.685217 | + | 1.29047i | −0.0380090 | + | 0.0715824i | ||||
\(326\) | −9.56559 | + | 5.52269i | −0.529789 | + | 0.305874i | ||||
\(327\) | 2.42854 | − | 4.24148i | 0.134299 | − | 0.234554i | ||||
\(328\) | −0.0373884 | − | 0.0373884i | −0.00206443 | − | 0.00206443i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −22.3365 | + | 17.9090i | −1.22958 | + | 0.985860i | ||||
\(331\) | 12.3674 | − | 21.4210i | 0.679774 | − | 1.17740i | −0.295275 | − | 0.955412i | \(-0.595411\pi\) |
0.975049 | − | 0.221991i | \(-0.0712554\pi\) | |||||||
\(332\) | 3.93272 | − | 14.6771i | 0.215836 | − | 0.805510i | ||||
\(333\) | −21.6384 | − | 5.63168i | −1.18578 | − | 0.308614i | ||||
\(334\) | −17.0967 | − | 9.87078i | −0.935490 | − | 0.540105i | ||||
\(335\) | 12.5010 | + | 15.7068i | 0.683004 | + | 0.858154i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.40139 | + | 3.40139i | −0.185286 | + | 0.185286i | −0.793655 | − | 0.608369i | \(-0.791824\pi\) |
0.608369 | + | 0.793655i | \(0.291824\pi\) | |||||||
\(338\) | −7.29927 | − | 27.2413i | −0.397028 | − | 1.48173i | ||||
\(339\) | −1.26218 | + | 4.77915i | −0.0685524 | + | 0.259568i | ||||
\(340\) | −0.536814 | + | 1.36392i | −0.0291128 | + | 0.0739687i | ||||
\(341\) | 26.7292 | + | 15.4321i | 1.44747 | + | 0.835695i | ||||
\(342\) | −24.4401 | + | 24.7938i | −1.32157 | + | 1.34070i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −8.94740 | −0.482411 | ||||||||
\(345\) | −4.21744 | − | 27.4902i | −0.227059 | − | 1.48002i | ||||
\(346\) | 6.00348 | + | 10.3983i | 0.322749 | + | 0.559018i | ||||
\(347\) | −8.79647 | + | 32.8289i | −0.472219 | + | 1.76235i | 0.159549 | + | 0.987190i | \(0.448996\pi\) |
−0.631769 | + | 0.775157i | \(0.717671\pi\) | |||||||
\(348\) | 6.77372 | − | 11.8304i | 0.363110 | − | 0.634175i | ||||
\(349\) | 9.37078i | 0.501607i | 0.968038 | + | 0.250803i | \(0.0806947\pi\) | ||||
−0.968038 | + | 0.250803i | \(0.919305\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.06206 | − | 1.08520i | 0.0566884 | − | 0.0579237i | ||||
\(352\) | 6.52223 | + | 24.3413i | 0.347636 | + | 1.29740i | ||||
\(353\) | −19.9286 | − | 5.33985i | −1.06069 | − | 0.284212i | −0.314029 | − | 0.949413i | \(-0.601679\pi\) |
−0.746664 | + | 0.665202i | \(0.768346\pi\) | |||||||
\(354\) | 37.7282 | + | 9.96410i | 2.00523 | + | 0.529586i | ||||
\(355\) | 5.25778 | − | 7.10969i | 0.279054 | − | 0.377343i | ||||
\(356\) | 5.54275i | 0.293765i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −22.5942 | − | 22.5942i | −1.19414 | − | 1.19414i | ||||
\(359\) | 13.6327 | − | 23.6125i | 0.719506 | − | 1.24622i | −0.241690 | − | 0.970354i | \(-0.577702\pi\) |
0.961196 | − | 0.275867i | \(-0.0889651\pi\) | |||||||
\(360\) | −4.04894 | + | 10.5083i | −0.213398 | + | 0.553837i | ||||
\(361\) | 4.62031 | + | 8.00262i | 0.243174 | + | 0.421190i | ||||
\(362\) | 20.7499 | − | 5.55993i | 1.09059 | − | 0.292223i | ||||
\(363\) | −0.00285407 | − | 0.794430i | −0.000149800 | − | 0.0416968i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 21.3059 | − | 16.9573i | 1.11520 | − | 0.887587i | ||||
\(366\) | 6.75233 | + | 24.8427i | 0.352950 | + | 1.29855i | ||||
\(367\) | 21.7524 | + | 5.82853i | 1.13547 | + | 0.304247i | 0.777126 | − | 0.629345i | \(-0.216677\pi\) |
0.358339 | + | 0.933592i | \(0.383343\pi\) | |||||||
\(368\) | −12.9816 | − | 3.47840i | −0.676710 | − | 0.181324i | ||||
\(369\) | −0.0821685 | − | 0.0466561i | −0.00427752 | − | 0.00242882i | ||||
\(370\) | −4.10960 | + | 36.1607i | −0.213648 | + | 1.87990i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 43.7249 | − | 0.157086i | 2.26703 | − | 0.00814453i | ||||
\(373\) | −31.8671 | + | 8.53877i | −1.65002 | + | 0.442121i | −0.959618 | − | 0.281308i | \(-0.909232\pi\) |
−0.690399 | + | 0.723429i | \(0.742565\pi\) | |||||||
\(374\) | −0.875048 | − | 1.51563i | −0.0452477 | − | 0.0783713i | ||||
\(375\) | −3.61354 | − | 19.0248i | −0.186603 | − | 0.982435i | ||||
\(376\) | 4.23349 | − | 7.33262i | 0.218326 | − | 0.378151i | ||||
\(377\) | 0.587387 | + | 0.587387i | 0.0302520 | + | 0.0302520i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 37.4477i | 1.92356i | 0.273828 | + | 0.961779i | \(0.411710\pi\) | ||||
−0.273828 | + | 0.961779i | \(0.588290\pi\) | |||||||
\(380\) | 26.4530 | + | 19.5626i | 1.35701 | + | 1.00354i | ||||
\(381\) | −7.27240 | + | 27.5363i | −0.372577 | + | 1.41073i | ||||
\(382\) | 13.4552 | + | 3.60530i | 0.688426 | + | 0.184463i | ||||
\(383\) | −1.81345 | − | 6.76787i | −0.0926628 | − | 0.345822i | 0.903992 | − | 0.427549i | \(-0.140623\pi\) |
−0.996655 | + | 0.0817273i | \(0.973956\pi\) | |||||||
\(384\) | 15.2879 | + | 15.1784i | 0.780155 | + | 0.774570i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 23.3578i | − | 1.18888i | ||||||
\(387\) | −15.4145 | + | 4.24923i | −0.783562 | + | 0.216001i | ||||
\(388\) | −2.29806 | + | 8.57646i | −0.116666 | + | 0.435404i | ||||
\(389\) | 4.60139 | + | 7.96985i | 0.233300 | + | 0.404087i | 0.958777 | − | 0.284159i | \(-0.0917143\pi\) |
−0.725477 | + | 0.688246i | \(0.758381\pi\) | |||||||
\(390\) | −1.99241 | − | 1.46239i | −0.100890 | − | 0.0740510i | ||||
\(391\) | 1.70011 | 0.0859783 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.9992 | + | 0.0790344i | −1.10971 | + | 0.00398676i | ||||
\(394\) | 2.71439 | + | 1.56716i | 0.136749 | + | 0.0789522i | ||||
\(395\) | 10.2113 | + | 23.4662i | 0.513787 | + | 1.18071i | ||||
\(396\) | −14.2332 | − | 24.2485i | −0.715244 | − | 1.21853i | ||||
\(397\) | −8.02482 | − | 29.9490i | −0.402754 | − | 1.50310i | −0.808161 | − | 0.588962i | \(-0.799537\pi\) |
0.405407 | − | 0.914136i | \(-0.367130\pi\) | |||||||
\(398\) | 14.5156 | − | 14.5156i | 0.727600 | − | 0.727600i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.11904 | − | 2.09985i | −0.455952 | − | 0.104993i | ||||
\(401\) | −22.3014 | − | 12.8757i | −1.11368 | − | 0.642982i | −0.173898 | − | 0.984764i | \(-0.555636\pi\) |
−0.939779 | + | 0.341782i | \(0.888969\pi\) | |||||||
\(402\) | −29.3457 | + | 17.0836i | −1.46363 | + | 0.852054i | ||||
\(403\) | −0.689599 | + | 2.57362i | −0.0343514 | + | 0.128201i | ||||
\(404\) | 11.9559 | − | 20.7082i | 0.594826 | − | 1.03027i | ||||
\(405\) | −1.98493 | + | 20.0265i | −0.0986319 | + | 0.995124i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −17.8397 | − | 17.8397i | −0.884283 | − | 0.884283i | ||||
\(408\) | −0.597401 | − | 0.342054i | −0.0295758 | − | 0.0169342i | ||||
\(409\) | −9.48266 | + | 5.47482i | −0.468887 | + | 0.270712i | −0.715774 | − | 0.698332i | \(-0.753926\pi\) |
0.246886 | + | 0.969044i | \(0.420593\pi\) | |||||||
\(410\) | −0.0563270 | + | 0.143113i | −0.00278179 | + | 0.00706787i | ||||
\(411\) | −3.33732 | − | 12.2784i | −0.164618 | − | 0.605650i | ||||
\(412\) | 2.66999 | − | 2.66999i | 0.131541 | − | 0.131541i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 47.0431 | − | 0.338019i | 2.31204 | − | 0.0166127i | ||||
\(415\) | −12.1362 | + | 1.81729i | −0.595743 | + | 0.0892071i | ||||
\(416\) | −1.88398 | + | 1.08772i | −0.0923696 | + | 0.0533296i | ||||
\(417\) | −10.7303 | − | 18.4323i | −0.525467 | − | 0.902632i | ||||
\(418\) | −37.9446 | + | 10.1672i | −1.85593 | + | 0.497295i | ||||
\(419\) | −5.86958 | −0.286748 | −0.143374 | − | 0.989669i | \(-0.545795\pi\) | ||||
−0.143374 | + | 0.989669i | \(0.545795\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.8842 | 1.31026 | 0.655129 | − | 0.755517i | \(-0.272614\pi\) | ||||
0.655129 | + | 0.755517i | \(0.272614\pi\) | |||||||
\(422\) | −17.4897 | + | 4.68635i | −0.851386 | + | 0.228128i | ||||
\(423\) | 3.81105 | − | 14.6431i | 0.185300 | − | 0.711971i | ||||
\(424\) | 7.30491 | − | 4.21749i | 0.354758 | − | 0.204819i | ||||
\(425\) | 1.18301 | − | 0.0419835i | 0.0573846 | − | 0.00203650i | ||||
\(426\) | 10.6145 | + | 10.5385i | 0.514273 | + | 0.510591i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −8.19126 | + | 8.19126i | −0.395940 | + | 0.395940i | ||||
\(429\) | 1.65334 | − | 0.449384i | 0.0798241 | − | 0.0216965i | ||||
\(430\) | 10.3844 | + | 23.8640i | 0.500781 | + | 1.15082i | ||||
\(431\) | 3.62101 | − | 2.09059i | 0.174418 | − | 0.100700i | −0.410250 | − | 0.911973i | \(-0.634558\pi\) |
0.584667 | + | 0.811273i | \(0.301225\pi\) | |||||||
\(432\) | 8.47384 | + | 4.77135i | 0.407698 | + | 0.229562i | ||||
\(433\) | 2.20877 | + | 2.20877i | 0.106146 | + | 0.106146i | 0.758185 | − | 0.652039i | \(-0.226086\pi\) |
−0.652039 | + | 0.758185i | \(0.726086\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −10.9436 | − | 1.20392i | −0.524706 | − | 0.0577233i | ||||
\(436\) | 3.90645 | − | 6.76617i | 0.187085 | − | 0.324041i | ||||
\(437\) | 9.87683 | − | 36.8608i | 0.472473 | − | 1.76329i | ||||
\(438\) | 23.1735 | + | 39.8068i | 1.10727 | + | 1.90204i | ||||
\(439\) | 23.9048 | + | 13.8014i | 1.14091 | + | 0.658706i | 0.946656 | − | 0.322245i | \(-0.104437\pi\) |
0.194256 | + | 0.980951i | \(0.437771\pi\) | |||||||
\(440\) | −9.94222 | + | 7.91300i | −0.473977 | + | 0.377238i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.106830 | − | 0.106830i | 0.00508138 | − | 0.00508138i | ||||
\(443\) | −4.50359 | − | 16.8076i | −0.213972 | − | 0.798554i | −0.986526 | − | 0.163605i | \(-0.947688\pi\) |
0.772554 | − | 0.634949i | \(-0.218979\pi\) | |||||||
\(444\) | −34.5572 | − | 9.12665i | −1.64001 | − | 0.433131i | ||||
\(445\) | 4.10460 | − | 1.78612i | 0.194577 | − | 0.0846700i | ||||
\(446\) | −10.3242 | − | 5.96069i | −0.488866 | − | 0.282247i | ||||
\(447\) | −0.117823 | − | 32.7961i | −0.00557285 | − | 1.55120i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 34.1859 | 1.61333 | 0.806666 | − | 0.591008i | \(-0.201270\pi\) | ||||
0.806666 | + | 0.591008i | \(0.201270\pi\) | |||||||
\(450\) | 32.7264 | − | 1.39692i | 1.54274 | − | 0.0658514i | ||||
\(451\) | −0.0533094 | − | 0.0923346i | −0.00251024 | − | 0.00434787i | ||||
\(452\) | −2.04508 | + | 7.63234i | −0.0961925 | + | 0.358995i | ||||
\(453\) | 2.86381 | + | 1.63973i | 0.134554 | + | 0.0770414i | ||||
\(454\) | − | 4.65526i | − | 0.218482i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −10.8868 | + | 10.9653i | −0.509823 | + | 0.513499i | ||||
\(457\) | −3.40777 | − | 12.7180i | −0.159409 | − | 0.594922i | −0.998687 | − | 0.0512204i | \(-0.983689\pi\) |
0.839278 | − | 0.543702i | \(-0.182978\pi\) | |||||||
\(458\) | 13.2046 | + | 3.53817i | 0.617012 | + | 0.165328i | ||||
\(459\) | −1.19164 | − | 0.305573i | −0.0556211 | − | 0.0142629i | ||||
\(460\) | −6.58382 | − | 43.9680i | −0.306972 | − | 2.05002i | ||||
\(461\) | − | 25.6579i | − | 1.19501i | −0.801865 | − | 0.597505i | \(-0.796159\pi\) | ||
0.801865 | − | 0.597505i | \(-0.203841\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.2170 | + | 13.2170i | 0.614248 | + | 0.614248i | 0.944050 | − | 0.329802i | \(-0.106982\pi\) |
−0.329802 | + | 0.944050i | \(0.606982\pi\) | |||||||
\(464\) | −2.66009 | + | 4.60741i | −0.123491 | + | 0.213893i | ||||
\(465\) | −14.2064 | − | 32.3292i | −0.658807 | − | 1.49923i | ||||
\(466\) | 4.12937 | + | 7.15228i | 0.191289 | + | 0.331323i | ||||
\(467\) | 26.8642 | − | 7.19823i | 1.24313 | − | 0.333094i | 0.423448 | − | 0.905920i | \(-0.360820\pi\) |
0.819677 | + | 0.572826i | \(0.194153\pi\) | |||||||
\(468\) | 1.70396 | − | 1.72862i | 0.0787655 | − | 0.0799056i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −24.4706 | − | 2.78104i | −1.12874 | − | 0.128280i | ||||
\(471\) | −10.2049 | + | 2.77373i | −0.470217 | + | 0.127807i | ||||
\(472\) | 16.7291 | + | 4.48255i | 0.770020 | + | 0.206326i | ||||
\(473\) | −17.4270 | − | 4.66955i | −0.801294 | − | 0.214706i | ||||
\(474\) | −41.7733 | + | 11.3541i | −1.91871 | + | 0.521512i | ||||
\(475\) | 5.96248 | − | 25.8933i | 0.273577 | − | 1.18807i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.5819 | − | 10.7350i | 0.484510 | − | 0.491524i | ||||
\(478\) | −4.39841 | + | 1.17855i | −0.201179 | + | 0.0539057i | ||||
\(479\) | 13.4862 | + | 23.3589i | 0.616202 | + | 1.06729i | 0.990172 | + | 0.139853i | \(0.0446630\pi\) |
−0.373970 | + | 0.927441i | \(0.622004\pi\) | |||||||
\(480\) | 10.4630 | − | 26.8668i | 0.477568 | − | 1.22630i | ||||
\(481\) | 1.08898 | − | 1.88616i | 0.0496531 | − | 0.0860017i | ||||
\(482\) | −8.39528 | − | 8.39528i | −0.382395 | − | 0.382395i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 1.26993i | − | 0.0577242i | ||||||
\(485\) | 7.09171 | − | 1.06192i | 0.322018 | − | 0.0482193i | ||||
\(486\) | −33.0343 | − | 8.21848i | −1.49846 | − | 0.372798i | ||||
\(487\) | 39.1373 | + | 10.4868i | 1.77348 | + | 0.475203i | 0.989370 | − | 0.145418i | \(-0.0464528\pi\) |
0.784111 | + | 0.620621i | \(0.213119\pi\) | |||||||
\(488\) | 2.95729 | + | 11.0368i | 0.133870 | + | 0.499611i | ||||
\(489\) | −6.17247 | + | 6.21698i | −0.279129 | + | 0.281141i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.74522i | 0.123890i | 0.998080 | + | 0.0619450i | \(0.0197303\pi\) | ||||
−0.998080 | + | 0.0619450i | \(0.980270\pi\) | |||||||
\(492\) | −0.131081 | − | 0.0750528i | −0.00590957 | − | 0.00338364i | ||||
\(493\) | 0.174187 | − | 0.650076i | 0.00784500 | − | 0.0292779i | ||||
\(494\) | −1.69559 | − | 2.93685i | −0.0762883 | − | 0.132135i | ||||
\(495\) | −13.3704 | + | 18.3541i | −0.600953 | + | 0.824956i | ||||
\(496\) | −17.0642 | −0.766206 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.0745730 | − | 20.7574i | −0.00334170 | − | 0.930162i | ||||
\(499\) | 26.2537 | + | 15.1576i | 1.17528 | + | 0.678546i | 0.954917 | − | 0.296873i | \(-0.0959439\pi\) |
0.220359 | + | 0.975419i | \(0.429277\pi\) | |||||||
\(500\) | −5.66709 | − | 30.4324i | −0.253440 | − | 1.36098i | ||||
\(501\) | −15.1391 | − | 3.99826i | −0.676364 | − | 0.178629i | ||||
\(502\) | 13.1932 | + | 49.2379i | 0.588843 | + | 2.19759i | ||||
\(503\) | −0.331820 | + | 0.331820i | −0.0147951 | + | 0.0147951i | −0.714466 | − | 0.699671i | \(-0.753330\pi\) |
0.699671 | + | 0.714466i | \(0.253330\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −19.1878 | − | 2.18067i | −0.853848 | − | 0.0970384i | ||||
\(506\) | 45.9710 | + | 26.5414i | 2.04366 | + | 1.17991i | ||||
\(507\) | −11.2539 | − | 19.3316i | −0.499803 | − | 0.858547i | ||||
\(508\) | −11.7833 | + | 43.9757i | −0.522798 | + | 1.95111i | ||||
\(509\) | −7.32457 | + | 12.6865i | −0.324656 | + | 0.562320i | −0.981443 | − | 0.191756i | \(-0.938582\pi\) |
0.656787 | + | 0.754076i | \(0.271915\pi\) | |||||||
\(510\) | −0.218960 | + | 1.99035i | −0.00969569 | + | 0.0881340i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −14.2950 | − | 14.2950i | −0.631758 | − | 0.631758i | ||||
\(513\) | −13.5481 | + | 24.0613i | −0.598165 | + | 1.06233i | ||||
\(514\) | −29.2254 | + | 16.8733i | −1.28908 | + | 0.744250i | ||||
\(515\) | −2.83761 | − | 1.11684i | −0.125040 | − | 0.0492137i | ||||
\(516\) | −24.6648 | + | 6.70399i | −1.08581 | + | 0.295127i | ||||
\(517\) | 12.0725 | − | 12.0725i | 0.530946 | − | 0.530946i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.75820 | + | 6.70982i | 0.296652 | + | 0.294528i | ||||
\(520\) | −0.881967 | − | 0.652234i | −0.0386768 | − | 0.0286024i | ||||
\(521\) | 21.3477 | − | 12.3251i | 0.935258 | − | 0.539971i | 0.0467872 | − | 0.998905i | \(-0.485102\pi\) |
0.888471 | + | 0.458934i | \(0.151768\pi\) | |||||||
\(522\) | 4.69062 | − | 18.0226i | 0.205303 | − | 0.788830i | ||||
\(523\) | −31.9744 | + | 8.56752i | −1.39814 | + | 0.374631i | −0.877678 | − | 0.479251i | \(-0.840908\pi\) |
−0.520466 | + | 0.853883i | \(0.674242\pi\) | |||||||
\(524\) | −35.1668 | −1.53627 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 56.1475 | 2.44815 | ||||||||
\(527\) | 2.08509 | − | 0.558698i | 0.0908279 | − | 0.0243373i | ||||
\(528\) | 5.52062 | + | 9.48314i | 0.240254 | + | 0.412701i | ||||
\(529\) | −24.7394 | + | 14.2833i | −1.07563 | + | 0.621013i | ||||
\(530\) | −19.7268 | − | 14.5884i | −0.856876 | − | 0.633679i | ||||
\(531\) | 30.9495 | − | 0.222381i | 1.34310 | − | 0.00965053i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.00650825 | − | 0.00650825i | 0.000281904 | − | 0.000281904i | ||||
\(534\) | 1.98601 | + | 7.30680i | 0.0859432 | + | 0.316196i | ||||
\(535\) | 8.70551 | + | 3.42634i | 0.376372 | + | 0.148134i | ||||
\(536\) | −13.0518 | + | 7.53548i | −0.563754 | + | 0.325483i | ||||
\(537\) | −21.9937 | − | 12.5929i | −0.949099 | − | 0.543426i | ||||
\(538\) | −44.0273 | − | 44.0273i | −1.89815 | − | 1.89815i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −3.28797 | + | 32.0015i | −0.141492 | + | 1.37712i | ||||
\(541\) | 13.6072 | − | 23.5683i | 0.585017 | − | 1.01328i | −0.409856 | − | 0.912150i | \(-0.634421\pi\) |
0.994873 | − | 0.101129i | \(-0.0322456\pi\) | |||||||
\(542\) | 1.76462 | − | 6.58564i | 0.0757968 | − | 0.282877i | ||||
\(543\) | 14.7251 | − | 8.57221i | 0.631913 | − | 0.367869i | ||||
\(544\) | 1.52636 | + | 0.881243i | 0.0654421 | + | 0.0377830i | ||||
\(545\) | −6.26942 | − | 0.712509i | −0.268552 | − | 0.0305205i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.63475 | + | 3.63475i | −0.155411 | + | 0.155411i | −0.780530 | − | 0.625119i | \(-0.785051\pi\) |
0.625119 | + | 0.780530i | \(0.285051\pi\) | |||||||
\(548\) | −5.26428 | − | 19.6466i | −0.224879 | − | 0.839259i | ||||
\(549\) | 10.3363 | + | 17.6096i | 0.441142 | + | 0.751558i | ||||
\(550\) | 32.6441 | + | 17.3334i | 1.39195 | + | 0.739101i | ||||
\(551\) | −13.0826 | − | 7.55326i | −0.557339 | − | 0.321780i | ||||
\(552\) | 20.8798 | − | 0.0750128i | 0.888705 | − | 0.00319276i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −37.8227 | −1.60693 | ||||||||
\(555\) | 4.37725 | + | 28.5319i | 0.185804 | + | 1.21111i | ||||
\(556\) | −17.0469 | − | 29.5261i | −0.722949 | − | 1.25218i | ||||
\(557\) | −2.16596 | + | 8.08347i | −0.0917747 | + | 0.342508i | −0.996511 | − | 0.0834649i | \(-0.973401\pi\) |
0.904736 | + | 0.425973i | \(0.140068\pi\) | |||||||
\(558\) | 57.5847 | − | 15.8741i | 2.43775 | − | 0.672004i | ||||
\(559\) | − | 1.55749i | − | 0.0658747i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.985055 | − | 0.978002i | −0.0415890 | − | 0.0412913i | ||||
\(562\) | 7.18820 | + | 26.8267i | 0.303216 | + | 1.13162i | ||||
\(563\) | 18.8877 | + | 5.06094i | 0.796021 | + | 0.213293i | 0.633836 | − | 0.773467i | \(-0.281479\pi\) |
0.162185 | + | 0.986760i | \(0.448146\pi\) | |||||||
\(564\) | 6.17616 | − | 23.3855i | 0.260063 | − | 0.984706i | ||||
\(565\) | 6.31104 | − | 0.945021i | 0.265507 | − | 0.0397573i | ||||
\(566\) | − | 61.2316i | − | 2.57376i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.69425 | + | 4.69425i | 0.196966 | + | 0.196966i | ||||
\(569\) | −3.41116 | + | 5.90830i | −0.143003 | + | 0.247689i | −0.928626 | − | 0.371017i | \(-0.879009\pi\) |
0.785623 | + | 0.618706i | \(0.212343\pi\) | |||||||
\(570\) | 41.8815 | + | 16.3103i | 1.75422 | + | 0.683164i | ||||
\(571\) | −9.87726 | − | 17.1079i | −0.413351 | − | 0.715944i | 0.581903 | − | 0.813258i | \(-0.302308\pi\) |
−0.995254 | + | 0.0973138i | \(0.968975\pi\) | |||||||
\(572\) | 2.64549 | − | 0.708857i | 0.110614 | − | 0.0296388i | ||||
\(573\) | 11.0484 | − | 0.0396926i | 0.461555 | − | 0.00165818i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −30.4383 | + | 19.0440i | −1.26937 | + | 0.794189i | ||||
\(576\) | 32.6456 | + | 18.5365i | 1.36023 | + | 0.772354i | ||||
\(577\) | 1.51256 | + | 0.405290i | 0.0629689 | + | 0.0168725i | 0.290166 | − | 0.956976i | \(-0.406289\pi\) |
−0.227197 | + | 0.973849i | \(0.572956\pi\) | |||||||
\(578\) | 35.7405 | + | 9.57664i | 1.48661 | + | 0.398336i | ||||
\(579\) | −4.85924 | − | 17.8778i | −0.201943 | − | 0.742974i | ||||
\(580\) | −17.4867 | − | 1.98734i | −0.726097 | − | 0.0825197i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0.0435762 | + | 12.1295i | 0.00180629 | + | 0.502782i | ||||
\(583\) | 16.4290 | − | 4.40212i | 0.680418 | − | 0.182317i | ||||
\(584\) | 10.2217 | + | 17.7045i | 0.422977 | + | 0.732617i | ||||
\(585\) | −1.82920 | − | 0.704804i | −0.0756280 | − | 0.0291401i | ||||
\(586\) | −10.3895 | + | 17.9952i | −0.429188 | + | 0.743375i | ||||
\(587\) | 7.76708 | + | 7.76708i | 0.320582 | + | 0.320582i | 0.848990 | − | 0.528408i | \(-0.177211\pi\) |
−0.528408 | + | 0.848990i | \(0.677211\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 48.4535i | − | 1.99649i | ||||||
\(590\) | −7.46030 | − | 49.8214i | −0.307136 | − | 2.05111i | ||||
\(591\) | 2.40359 | + | 0.634793i | 0.0988703 | + | 0.0261119i | ||||
\(592\) | 13.4734 | + | 3.61020i | 0.553755 | + | 0.148378i | ||||
\(593\) | −2.93296 | − | 10.9460i | −0.120442 | − | 0.449497i | 0.879194 | − | 0.476464i | \(-0.158082\pi\) |
−0.999636 | + | 0.0269670i | \(0.991415\pi\) | |||||||
\(594\) | −27.4515 | − | 26.8661i | −1.12635 | − | 1.10233i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 52.4261i | − | 2.14746i | ||||||
\(597\) | 8.09029 | − | 14.1298i | 0.331113 | − | 0.578293i | ||||
\(598\) | −1.18603 | + | 4.42632i | −0.0485003 | + | 0.181006i | ||||
\(599\) | −10.1871 | − | 17.6446i | −0.416233 | − | 0.720938i | 0.579324 | − | 0.815098i | \(-0.303317\pi\) |
−0.995557 | + | 0.0941601i | \(0.969983\pi\) | |||||||
\(600\) | 14.5273 | − | 0.567816i | 0.593073 | − | 0.0231810i | ||||
\(601\) | 32.4833 | 1.32502 | 0.662511 | − | 0.749052i | \(-0.269491\pi\) | ||||
0.662511 | + | 0.749052i | \(0.269491\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −18.9069 | + | 19.1805i | −0.769947 | + | 0.781092i | ||||
\(604\) | 4.56846 | + | 2.63760i | 0.185888 | + | 0.107323i | ||||
\(605\) | −0.940431 | + | 0.409228i | −0.0382340 | + | 0.0166375i | ||||
\(606\) | 8.34107 | − | 31.5827i | 0.338833 | − | 1.28296i | ||||
\(607\) | 0.0256806 | + | 0.0958413i | 0.00104234 | + | 0.00389008i | 0.966445 | − | 0.256873i | \(-0.0826924\pi\) |
−0.965403 | + | 0.260764i | \(0.916026\pi\) | |||||||
\(608\) | 27.9740 | − | 27.9740i | 1.13450 | − | 1.13450i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 26.0044 | − | 20.6969i | 1.05289 | − | 0.837992i | ||||
\(611\) | 1.27640 | + | 0.736930i | 0.0516376 | + | 0.0298130i | ||||
\(612\) | −1.90312 | − | 0.495310i | −0.0769289 | − | 0.0200217i | ||||
\(613\) | −9.76701 | + | 36.4510i | −0.394486 | + | 1.47224i | 0.428169 | + | 0.903699i | \(0.359159\pi\) |
−0.822654 | + | 0.568542i | \(0.807508\pi\) | |||||||
\(614\) | −15.6120 | + | 27.0407i | −0.630048 | + | 1.09128i | ||||
\(615\) | −0.0133394 | + | 0.121255i | −0.000537896 | + | 0.00488948i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.37294 | − | 6.37294i | −0.256565 | − | 0.256565i | 0.567090 | − | 0.823656i | \(-0.308069\pi\) |
−0.823656 | + | 0.567090i | \(0.808069\pi\) | |||||||
\(618\) | 2.56307 | − | 4.47643i | 0.103102 | − | 0.180069i | ||||
\(619\) | −15.3872 | + | 8.88379i | −0.618463 | + | 0.357070i | −0.776270 | − | 0.630400i | \(-0.782891\pi\) |
0.157808 | + | 0.987470i | \(0.449557\pi\) | |||||||
\(620\) | −22.5237 | − | 51.7607i | −0.904572 | − | 2.07876i | ||||
\(621\) | 35.9359 | − | 10.0453i | 1.44206 | − | 0.403105i | ||||
\(622\) | 0.608631 | − | 0.608631i | 0.0244039 | − | 0.0244039i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.667407 | + | 0.672220i | −0.0267177 | + | 0.0269103i | ||||
\(625\) | −20.7101 | + | 14.0033i | −0.828403 | + | 0.560133i | ||||
\(626\) | −27.7642 | + | 16.0297i | −1.10968 | + | 0.640675i | ||||
\(627\) | −26.9272 | + | 15.6757i | −1.07537 | + | 0.626026i | ||||
\(628\) | −16.3287 | + | 4.37527i | −0.651587 | + | 0.174592i | ||||
\(629\) | −1.76453 | −0.0703565 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.8248 | 0.709592 | 0.354796 | − | 0.934944i | \(-0.384550\pi\) | ||||
0.354796 | + | 0.934944i | \(0.384550\pi\) | |||||||
\(632\) | −18.5585 | + | 4.97273i | −0.738216 | + | 0.197804i | ||||
\(633\) | −12.4115 | + | 7.22534i | −0.493312 | + | 0.287182i | ||||
\(634\) | −52.9758 | + | 30.5856i | −2.10394 | + | 1.21471i | ||||
\(635\) | 36.3627 | − | 5.44498i | 1.44301 | − | 0.216078i | ||||
\(636\) | 16.9770 | − | 17.0995i | 0.673183 | − | 0.678038i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 14.8587 | − | 14.8587i | 0.588262 | − | 0.588262i | ||||
\(639\) | 10.3166 | + | 5.85784i | 0.408117 | + | 0.231732i | ||||
\(640\) | 10.1858 | − | 25.8796i | 0.402628 | − | 1.02298i | ||||
\(641\) | 12.8405 | − | 7.41348i | 0.507170 | − | 0.292815i | −0.224499 | − | 0.974474i | \(-0.572075\pi\) |
0.731670 | + | 0.681659i | \(0.238741\pi\) | |||||||
\(642\) | −7.86325 | + | 13.7332i | −0.310338 | + | 0.542008i | ||||
\(643\) | 32.7229 | + | 32.7229i | 1.29047 | + | 1.29047i | 0.934498 | + | 0.355968i | \(0.115849\pi\) |
0.355968 | + | 0.934498i | \(0.384151\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.9126 | + | 16.1049i | 0.508435 | + | 0.634129i | ||||
\(646\) | −1.37373 | + | 2.37937i | −0.0540488 | + | 0.0936152i | ||||
\(647\) | −9.90332 | + | 36.9597i | −0.389340 | + | 1.45304i | 0.441871 | + | 0.897078i | \(0.354315\pi\) |
−0.831211 | + | 0.555957i | \(0.812352\pi\) | |||||||
\(648\) | −14.6486 | − | 3.70031i | −0.575451 | − | 0.145362i | ||||
\(649\) | 30.2442 | + | 17.4615i | 1.18719 | + | 0.685423i | ||||
\(650\) | −0.715985 | + | 3.10932i | −0.0280833 | + | 0.121958i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.90255 | + | 9.90255i | −0.387814 | + | 0.387814i | ||||
\(653\) | 1.48210 | + | 5.53128i | 0.0579992 | + | 0.216456i | 0.988843 | − | 0.148961i | \(-0.0475930\pi\) |
−0.930844 | + | 0.365417i | \(0.880926\pi\) | |||||||
\(654\) | 2.72535 | − | 10.3193i | 0.106570 | − | 0.403517i | ||||
\(655\) | 11.3323 | + | 26.0423i | 0.442789 | + | 1.01756i | ||||
\(656\) | 0.0510501 | + | 0.0294738i | 0.00199317 | + | 0.00115076i | ||||
\(657\) | 26.0179 | + | 25.6467i | 1.01506 | + | 1.00057i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11.5870 | −0.451366 | −0.225683 | − | 0.974201i | \(-0.572461\pi\) | ||||
−0.225683 | + | 0.974201i | \(0.572461\pi\) | |||||||
\(660\) | −21.4783 | + | 29.2627i | −0.836040 | + | 1.13905i | ||||
\(661\) | −7.57751 | − | 13.1246i | −0.294731 | − | 0.510489i | 0.680191 | − | 0.733035i | \(-0.261897\pi\) |
−0.974922 | + | 0.222546i | \(0.928563\pi\) | |||||||
\(662\) | 13.9800 | − | 52.1740i | 0.543348 | − | 2.02780i | ||||
\(663\) | 0.0595418 | − | 0.103990i | 0.00231241 | − | 0.00403866i | ||||
\(664\) | − | 9.21294i | − | 0.357531i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −48.8257 | + | 0.350827i | −1.89196 | + | 0.0135943i | ||||
\(667\) | 5.28333 | + | 19.7177i | 0.204571 | + | 0.763471i | ||||
\(668\) | −24.1772 | − | 6.47827i | −0.935445 | − | 0.250652i | ||||
\(669\) | −9.14206 | − | 2.41444i | −0.353452 | − | 0.0933476i | ||||
\(670\) | 35.2463 | + | 26.0654i | 1.36168 | + | 1.00699i | ||||
\(671\) | 23.0399i | 0.889445i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.7667 | − | 13.7667i | −0.530666 | − | 0.530666i | 0.390105 | − | 0.920770i | \(-0.372439\pi\) |
−0.920770 | + | 0.390105i | \(0.872439\pi\) | |||||||
\(674\) | −5.25223 | + | 9.09714i | −0.202309 | + | 0.350409i | ||||
\(675\) | 24.7578 | − | 7.87742i | 0.952926 | − | 0.303202i | ||||
\(676\) | −17.8786 | − | 30.9667i | −0.687640 | − | 1.19103i | ||||
\(677\) | −22.3473 | + | 5.98795i | −0.858878 | + | 0.230136i | −0.661272 | − | 0.750146i | \(-0.729983\pi\) |
−0.197606 | + | 0.980282i | \(0.563317\pi\) | |||||||
\(678\) | 0.0387793 | + | 10.7942i | 0.00148931 | + | 0.414549i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.100355 | + | 0.883031i | −0.00384844 | + | 0.0338627i | ||||
\(681\) | −0.968456 | − | 3.56307i | −0.0371113 | − | 0.136537i | ||||
\(682\) | 65.1030 | + | 17.4443i | 2.49292 | + | 0.667977i | ||||
\(683\) | 7.99975 | + | 2.14353i | 0.306102 | + | 0.0820197i | 0.408600 | − | 0.912713i | \(-0.366017\pi\) |
−0.102498 | + | 0.994733i | \(0.532684\pi\) | |||||||
\(684\) | −21.7952 | + | 38.3848i | −0.833361 | + | 1.46768i | ||||
\(685\) | −12.8526 | + | 10.2294i | −0.491072 | + | 0.390844i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.8427 | − | 0.0389535i | 0.413676 | − | 0.00148617i | ||||
\(688\) | 9.63506 | − | 2.58171i | 0.367333 | − | 0.0984266i | ||||
\(689\) | 0.734144 | + | 1.27158i | 0.0279687 | + | 0.0484432i | ||||
\(690\) | −24.4333 | − | 55.6024i | −0.930161 | − | 2.11675i | ||||
\(691\) | 12.9547 | − | 22.4382i | 0.492821 | − | 0.853591i | −0.507145 | − | 0.861861i | \(-0.669299\pi\) |
0.999966 | + | 0.00826988i | \(0.00263241\pi\) | |||||||
\(692\) | 10.7646 | + | 10.7646i | 0.409210 | + | 0.409210i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 74.2189i | 2.81731i | ||||||||
\(695\) | −16.3719 | + | 22.1384i | −0.621020 | + | 0.839759i | ||||
\(696\) | 2.11059 | − | 7.99156i | 0.0800017 | − | 0.302919i | ||||
\(697\) | −0.00720284 | − | 0.00192999i | −0.000272827 | − | 7.31038e-5i | ||||
\(698\) | 5.29632 | + | 19.7661i | 0.200469 | + | 0.748159i | ||||
\(699\) | 4.64849 | + | 4.61521i | 0.175822 | + | 0.174563i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 37.9089i | 1.43180i | 0.698204 | + | 0.715899i | \(0.253983\pi\) | ||||
−0.698204 | + | 0.715899i | \(0.746017\pi\) | |||||||
\(702\) | 1.62689 | − | 2.88932i | 0.0614028 | − | 0.109050i | ||||
\(703\) | −10.2511 | + | 38.2576i | −0.386627 | + | 1.44291i | ||||
\(704\) | 21.1799 | + | 36.6846i | 0.798247 | + | 1.38260i | ||||
\(705\) | −19.3080 | + | 2.96216i | −0.727182 | + | 0.111561i | ||||
\(706\) | −45.0542 | −1.69564 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 49.4749 | − | 0.177743i | 1.85938 | − | 0.00668001i | ||||
\(709\) | −14.4489 | − | 8.34207i | −0.542639 | − | 0.313293i | 0.203509 | − | 0.979073i | \(-0.434766\pi\) |
−0.746148 | + | 0.665780i | \(0.768099\pi\) | |||||||
\(710\) | 7.07206 | − | 17.9684i | 0.265410 | − | 0.674342i | ||||
\(711\) | −29.6107 | + | 17.3806i | −1.11049 | + | 0.651824i | ||||
\(712\) | 0.869807 | + | 3.24617i | 0.0325974 | + | 0.121655i | ||||
\(713\) | −46.2975 | + | 46.2975i | −1.73385 | + | 1.73385i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.37743 | − | 1.73066i | −0.0515129 | − | 0.0647229i | ||||
\(716\) | −35.0852 | − | 20.2565i | −1.31120 | − | 0.757019i | ||||
\(717\) | −3.12131 | + | 1.81707i | −0.116567 | + | 0.0678598i | ||||
\(718\) | 15.4103 | − | 57.5119i | 0.575106 | − | 2.14632i | ||||
\(719\) | −6.53547 | + | 11.3198i | −0.243732 | + | 0.422156i | −0.961774 | − | 0.273843i | \(-0.911705\pi\) |
0.718042 | + | 0.695999i | \(0.245038\pi\) | |||||||
\(720\) | 1.32802 | − | 12.4842i | 0.0494925 | − | 0.465259i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 14.2688 | + | 14.2688i | 0.531031 | + | 0.531031i | ||||
\(723\) | −8.17215 | − | 4.67913i | −0.303926 | − | 0.174019i | ||||
\(724\) | 23.5876 | − | 13.6183i | 0.876628 | − | 0.506121i | ||||
\(725\) | 4.16330 | + | 13.5900i | 0.154621 | + | 0.504718i | ||||
\(726\) | −0.455028 | − | 1.67411i | −0.0168877 | − | 0.0621319i | ||||
\(727\) | −19.4878 | + | 19.4878i | −0.722761 | + | 0.722761i | −0.969167 | − | 0.246406i | \(-0.920750\pi\) |
0.246406 | + | 0.969167i | \(0.420750\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.9937 | + | 0.581953i | −0.999768 | + | 0.0215538i | ||||
\(730\) | 35.3571 | − | 47.8107i | 1.30862 | − | 1.76955i | ||||
\(731\) | −1.09279 | + | 0.630921i | −0.0404182 | + | 0.0233354i | ||||
\(732\) | 16.4217 | + | 28.2087i | 0.606964 | + | 1.04262i | ||||
\(733\) | 33.5528 | − | 8.99045i | 1.23930 | − | 0.332070i | 0.421107 | − | 0.907011i | \(-0.361642\pi\) |
0.818195 | + | 0.574941i | \(0.194975\pi\) | |||||||
\(734\) | 49.1774 | 1.81517 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −53.4585 | −1.97051 | ||||||||
\(737\) | −29.3540 | + | 7.86538i | −1.08127 | + | 0.289725i | ||||
\(738\) | −0.199691 | − | 0.0519721i | −0.00735072 | − | 0.00191312i | ||||
\(739\) | 21.9906 | − | 12.6963i | 0.808937 | − | 0.467040i | −0.0376499 | − | 0.999291i | \(-0.511987\pi\) |
0.846586 | + | 0.532251i | \(0.178654\pi\) | |||||||
\(740\) | 6.83329 | + | 45.6341i | 0.251197 | + | 1.67754i | ||||
\(741\) | −1.90875 | − | 1.89509i | −0.0701198 | − | 0.0696178i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.4447 | − | 14.4447i | 0.529923 | − | 0.529923i | −0.390626 | − | 0.920549i | \(-0.627742\pi\) |
0.920549 | + | 0.390626i | \(0.127742\pi\) | |||||||
\(744\) | 25.5833 | − | 6.95363i | 0.937929 | − | 0.254932i | ||||
\(745\) | −38.8234 | + | 16.8940i | −1.42238 | + | 0.618948i | ||||
\(746\) | −62.3924 | + | 36.0223i | −2.28435 | + | 1.31887i | ||||
\(747\) | −4.37534 | − | 15.8719i | −0.160085 | − | 0.580724i | ||||
\(748\) | −1.56902 | − | 1.56902i | −0.0573690 | − | 0.0573690i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −18.3749 | − | 38.0873i | −0.670956 | − | 1.39075i | ||||
\(751\) | −13.7179 | + | 23.7601i | −0.500573 | + | 0.867018i | 0.499427 | + | 0.866356i | \(0.333544\pi\) |
−1.00000 | 0.000662052i | \(0.999789\pi\) | ||||||||
\(752\) | −2.44308 | + | 9.11771i | −0.0890901 | + | 0.332489i | ||||
\(753\) | 20.3411 | + | 34.9414i | 0.741272 | + | 1.27333i | ||||
\(754\) | 1.57099 | + | 0.907009i | 0.0572119 | + | 0.0330313i | ||||
\(755\) | 0.481081 | − | 4.23306i | 0.0175083 | − | 0.154057i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.9760 | + | 11.9760i | −0.435274 | + | 0.435274i | −0.890418 | − | 0.455144i | \(-0.849588\pi\) |
0.455144 | + | 0.890418i | \(0.349588\pi\) | |||||||
\(758\) | 21.1652 | + | 78.9897i | 0.768756 | + | 2.86904i | ||||
\(759\) | 40.7072 | + | 10.7509i | 1.47758 | + | 0.390231i | ||||
\(760\) | 18.5624 | + | 7.30583i | 0.673328 | + | 0.265010i | ||||
\(761\) | −35.6486 | − | 20.5817i | −1.29226 | − | 0.746087i | −0.313207 | − | 0.949685i | \(-0.601403\pi\) |
−0.979055 | + | 0.203598i | \(0.934737\pi\) | |||||||
\(762\) | 0.223437 | + | 62.1937i | 0.00809426 | + | 2.25304i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 17.6614 | 0.638969 | ||||||||
\(765\) | 0.246472 | + | 1.56894i | 0.00891123 | + | 0.0567250i | ||||
\(766\) | −7.65034 | − | 13.2508i | −0.276418 | − | 0.478770i | ||||
\(767\) | −0.780284 | + | 2.91206i | −0.0281744 | + | 0.105148i | ||||
\(768\) | 3.20720 | + | 1.83635i | 0.115730 | + | 0.0662635i | ||||
\(769\) | 3.96520i | 0.142989i | 0.997441 | + | 0.0714944i | \(0.0227768\pi\) | ||||
−0.997441 | + | 0.0714944i | \(0.977223\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18.8585 | + | 18.9945i | −0.679174 | + | 0.684071i | ||||
\(772\) | −7.66494 | − | 28.6060i | −0.275867 | − | 1.02955i | ||||
\(773\) | 8.19538 | + | 2.19594i | 0.294767 | + | 0.0789826i | 0.403172 | − | 0.915124i | \(-0.367908\pi\) |
−0.108405 | + | 0.994107i | \(0.534574\pi\) | |||||||
\(774\) | −30.1127 | + | 17.6752i | −1.08238 | + | 0.635324i | ||||
\(775\) | −31.0726 | + | 33.3592i | −1.11616 | + | 1.19830i | ||||
\(776\) | 5.38352i | 0.193257i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.2104 | + | 14.2104i | 0.509468 | + | 0.509468i | ||||
\(779\) | −0.0836901 | + | 0.144956i | −0.00299851 | + | 0.00519357i | ||||
\(780\) | −2.91997 | − | 1.13715i | −0.104552 | − | 0.0407166i | ||||
\(781\) | 6.69319 | + | 11.5929i | 0.239501 | + | 0.414828i | ||||
\(782\) | 3.58611 | − | 0.960894i | 0.128239 | − | 0.0343615i | ||||
\(783\) | −0.159195 | − | 14.7701i | −0.00568916 | − | 0.527841i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8.50188 | + | 10.6821i | 0.303445 | + | 0.381261i | ||||
\(786\) | −46.3591 | + | 12.6006i | −1.65357 | + | 0.449447i | ||||
\(787\) | 21.5979 | + | 5.78714i | 0.769882 | + | 0.206289i | 0.622319 | − | 0.782763i | \(-0.286191\pi\) |
0.147563 | + | 0.989053i | \(0.452857\pi\) | |||||||
\(788\) | 3.83855 | + | 1.02854i | 0.136743 | + | 0.0366401i | ||||
\(789\) | 42.9746 | − | 11.6806i | 1.52994 | − | 0.415842i | ||||
\(790\) | 34.8021 | + | 43.7267i | 1.23820 | + | 1.55573i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −12.1411 | − | 11.9678i | −0.431414 | − | 0.425258i | ||||
\(793\) | −1.92119 | + | 0.514780i | −0.0682233 | + | 0.0182804i | ||||
\(794\) | −33.8541 | − | 58.6370i | −1.20144 | − | 2.08095i | ||||
\(795\) | −18.1335 | − | 7.06191i | −0.643129 | − | 0.250460i | ||||
\(796\) | 13.0137 | − | 22.5403i | 0.461258 | − | 0.798921i | ||||
\(797\) | 8.46554 | + | 8.46554i | 0.299865 | + | 0.299865i | 0.840961 | − | 0.541096i | \(-0.181990\pi\) |
−0.541096 | + | 0.840961i | \(0.681990\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 1.19409i | − | 0.0422438i | ||||||
\(800\) | −37.1989 | + | 1.32014i | −1.31518 | + | 0.0466739i | ||||
\(801\) | 3.04014 | + | 5.17937i | 0.107418 | + | 0.183004i | ||||
\(802\) | −54.3184 | − | 14.5546i | −1.91805 | − | 0.513939i | ||||
\(803\) | 10.6692 | + | 39.8179i | 0.376507 | + | 1.40514i | ||||
\(804\) | −30.3333 | + | 30.5520i | −1.06977 | + | 1.07749i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.81839i | 0.204944i | ||||||||
\(807\) | −42.8572 | − | 24.5387i | −1.50864 | − | 0.863804i | ||||
\(808\) | 3.75240 | − | 14.0041i | 0.132009 | − | 0.492664i | ||||
\(809\) | 12.7675 | + | 22.1140i | 0.448882 | + | 0.777487i | 0.998314 | − | 0.0580521i | \(-0.0184889\pi\) |
−0.549431 | + | 0.835539i | \(0.685156\pi\) | |||||||
\(810\) | 7.13199 | + | 43.3645i | 0.250593 | + | 1.52367i | ||||
\(811\) | 1.94760 | 0.0683895 | 0.0341947 | − | 0.999415i | \(-0.489113\pi\) | ||||
0.0341947 | + | 0.999415i | \(0.489113\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.0194276 | − | 5.40767i | −0.000681355 | − | 0.189655i | ||||
\(814\) | −47.7129 | − | 27.5471i | −1.67234 | − | 0.965525i | ||||
\(815\) | 10.5242 | + | 4.14216i | 0.368648 | + | 0.145093i | ||||
\(816\) | 0.742012 | + | 0.195967i | 0.0259756 | + | 0.00686022i | ||||
\(817\) | 7.33070 | + | 27.3585i | 0.256469 | + | 0.957154i | ||||
\(818\) | −16.9078 | + | 16.9078i | −0.591167 | + | 0.591167i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0220197 | + | 0.193753i | −0.000768962 | + | 0.00676615i | ||||
\(821\) | 18.7704 | + | 10.8371i | 0.655091 | + | 0.378217i | 0.790404 | − | 0.612586i | \(-0.209871\pi\) |
−0.135313 | + | 0.990803i | \(0.543204\pi\) | |||||||
\(822\) | −13.9792 | − | 24.0131i | −0.487582 | − | 0.837553i | ||||
\(823\) | 3.05707 | − | 11.4091i | 0.106563 | − | 0.397697i | −0.891955 | − | 0.452124i | \(-0.850666\pi\) |
0.998518 | + | 0.0544266i | \(0.0173331\pi\) | |||||||
\(824\) | 1.14471 | − | 1.98270i | 0.0398780 | − | 0.0690707i | ||||
\(825\) | 28.5914 | + | 6.47568i | 0.995423 | + | 0.225454i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 14.1747 | + | 14.1747i | 0.492902 | + | 0.492902i | 0.909219 | − | 0.416318i | \(-0.136680\pi\) |
−0.416318 | + | 0.909219i | \(0.636680\pi\) | |||||||
\(828\) | 57.5022 | − | 15.8513i | 1.99834 | − | 0.550872i | ||||
\(829\) | −16.7867 | + | 9.69179i | −0.583025 | + | 0.336610i | −0.762335 | − | 0.647183i | \(-0.775947\pi\) |
0.179310 | + | 0.983793i | \(0.442614\pi\) | |||||||
\(830\) | −24.5722 | + | 10.6926i | −0.852914 | + | 0.371145i | ||||
\(831\) | −28.9490 | + | 7.86845i | −1.00423 | + | 0.272953i | ||||
\(832\) | −2.58573 | + | 2.58573i | −0.0896442 | + | 0.0896442i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −33.0517 | − | 32.8151i | −1.14449 | − | 1.13629i | ||||
\(835\) | 2.99357 | + | 19.9917i | 0.103597 | + | 0.691841i | ||||
\(836\) | −43.1338 | + | 24.9033i | −1.49181 | + | 0.861299i | ||||
\(837\) | 40.7722 | − | 24.1295i | 1.40929 | − | 0.834036i | ||||
\(838\) | −12.3809 | + | 3.31746i | −0.427692 | + | 0.114600i | ||||
\(839\) | 26.2528 | 0.906346 | 0.453173 | − | 0.891423i | \(-0.350292\pi\) | ||||
0.453173 | + | 0.891423i | \(0.350292\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.9192 | −0.721352 | ||||||||
\(842\) | 56.7079 | − | 15.1948i | 1.95428 | − | 0.523649i | ||||
\(843\) | 11.0827 | + | 19.0375i | 0.381707 | + | 0.655685i | ||||
\(844\) | −19.8816 | + | 11.4786i | −0.684351 | + | 0.395110i | ||||
\(845\) | −17.1707 | + | 23.2186i | −0.590689 | + | 0.798744i | ||||
\(846\) | −0.237410 | − | 33.0412i | −0.00816234 | − | 1.13598i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −6.64940 | + | 6.64940i | −0.228341 | + | 0.228341i | ||||
\(849\) | −12.7383 | − | 46.8659i | −0.437178 | − | 1.60843i | ||||
\(850\) | 2.47164 | − | 0.757191i | 0.0847767 | − | 0.0259714i | ||||
\(851\) | 46.3502 | − | 26.7603i | 1.58886 | − | 0.917330i | ||||
\(852\) | 16.4576 | + | 9.42315i | 0.563829 | + | 0.322832i | ||||
\(853\) | −29.8920 | − | 29.8920i | −1.02348 | − | 1.02348i | −0.999718 | − | 0.0237636i | \(-0.992435\pi\) |
−0.0237636 | − | 0.999718i | \(-0.507565\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 35.4487 | + | 3.77090i | 1.21232 | + | 0.128962i | ||||
\(856\) | −3.51186 | + | 6.08273i | −0.120033 | + | 0.207903i | ||||
\(857\) | 2.16821 | − | 8.09189i | 0.0740648 | − | 0.276414i | −0.918955 | − | 0.394363i | \(-0.870965\pi\) |
0.993020 | + | 0.117949i | \(0.0376320\pi\) | |||||||
\(858\) | 3.23347 | − | 1.88236i | 0.110389 | − | 0.0642628i | ||||
\(859\) | −8.97377 | − | 5.18101i | −0.306181 | − | 0.176774i | 0.339035 | − | 0.940774i | \(-0.389899\pi\) |
−0.645216 | + | 0.764000i | \(0.723233\pi\) | |||||||
\(860\) | 20.5487 | + | 25.8182i | 0.700705 | + | 0.880394i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.45633 | − | 6.45633i | 0.219904 | − | 0.219904i | ||||
\(863\) | 4.86148 | + | 18.1433i | 0.165487 | + | 0.617605i | 0.997978 | + | 0.0635660i | \(0.0202474\pi\) |
−0.832491 | + | 0.554039i | \(0.813086\pi\) | |||||||
\(864\) | 37.4702 | + | 9.60849i | 1.27476 | + | 0.326888i | ||||
\(865\) | 4.50276 | − | 11.4404i | 0.153098 | − | 0.388986i | ||||
\(866\) | 5.90741 | + | 3.41065i | 0.200742 | + | 0.115898i | ||||
\(867\) | 29.3476 | − | 0.105434i | 0.996696 | − | 0.00358073i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −38.7419 | −1.31423 | ||||||||
\(870\) | −23.7642 | + | 3.64581i | −0.805682 | + | 0.123605i | ||||
\(871\) | −1.31171 | − | 2.27195i | −0.0444457 | − | 0.0769822i | ||||
\(872\) | 1.22606 | − | 4.57570i | 0.0415195 | − | 0.154953i | ||||
\(873\) | 2.55670 | + | 9.27466i | 0.0865313 | + | 0.313900i | ||||
\(874\) | − | 83.3342i | − | 2.81882i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 41.4430 | + | 41.1463i | 1.40023 | + | 1.39020i | ||||
\(877\) | 1.77228 | + | 6.61425i | 0.0598457 | + | 0.223347i | 0.989372 | − | 0.145410i | \(-0.0464501\pi\) |
−0.929526 | + | 0.368757i | \(0.879783\pi\) | |||||||
\(878\) | 58.2237 | + | 15.6010i | 1.96495 | + | 0.526508i | ||||
\(879\) | −4.20839 | + | 15.9347i | −0.141945 | + | 0.537464i | ||||
\(880\) | 8.42310 | − | 11.3899i | 0.283943 | − | 0.383954i | ||||
\(881\) | − | 17.0394i | − | 0.574073i | −0.957920 | − | 0.287036i | \(-0.907330\pi\) | ||
0.957920 | − | 0.287036i | \(-0.0926701\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.2389 | + | 12.2389i | 0.411871 | + | 0.411871i | 0.882390 | − | 0.470519i | \(-0.155933\pi\) |
−0.470519 | + | 0.882390i | \(0.655933\pi\) | |||||||
\(884\) | 0.0957764 | − | 0.165890i | 0.00322131 | − | 0.00557947i | ||||
\(885\) | −16.0746 | − | 36.5807i | −0.540342 | − | 1.22965i | ||||
\(886\) | −18.9992 | − | 32.9075i | −0.638289 | − | 1.10555i | ||||
\(887\) | 56.1118 | − | 15.0351i | 1.88405 | − | 0.504830i | 0.884807 | − | 0.465957i | \(-0.154290\pi\) |
0.999244 | − | 0.0388730i | \(-0.0123768\pi\) | |||||||
\(888\) | −21.6710 | + | 0.0778552i | −0.727231 | + | 0.00261265i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 7.64848 | − | 6.08742i | 0.256378 | − | 0.204051i | ||||
\(891\) | −26.6001 | − | 14.8521i | −0.891138 | − | 0.497564i | ||||
\(892\) | −14.6000 | − | 3.91205i | −0.488843 | − | 0.130985i | ||||
\(893\) | −25.8896 | − | 6.93708i | −0.866361 | − | 0.232141i | ||||
\(894\) | −18.7847 | − | 69.1115i | −0.628256 | − | 2.31143i | ||||
\(895\) | −3.69464 | + | 32.5094i | −0.123498 | + | 1.08667i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.0130576 | + | 3.63458i | 0.000435980 | + | 0.121355i | ||||
\(898\) | 72.1095 | − | 19.3217i | 2.40633 | − | 0.644773i | ||||
\(899\) | 12.9594 | + | 22.4464i | 0.432221 | + | 0.748628i | ||||
\(900\) | 39.6211 | − | 12.4501i | 1.32070 | − | 0.415002i | ||||
\(901\) | 0.594788 | − | 1.03020i | 0.0198153 | − | 0.0343210i | ||||
\(902\) | −0.164635 | − | 0.164635i | −0.00548173 | − | 0.00548173i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.79089i | 0.159343i | ||||||||
\(905\) | −17.6858 | − | 13.0791i | −0.587897 | − | 0.434763i | ||||
\(906\) | 6.96752 | + | 1.84014i | 0.231480 | + | 0.0611345i | ||||
\(907\) | −34.0130 | − | 9.11375i | −1.12938 | − | 0.302617i | −0.354708 | − | 0.934977i | \(-0.615420\pi\) |
−0.774675 | + | 0.632360i | \(0.782086\pi\) | |||||||
\(908\) | −1.52764 | − | 5.70123i | −0.0506965 | − | 0.189202i | ||||
\(909\) | −0.186158 | − | 25.9082i | −0.00617448 | − | 0.859322i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.4322i | 0.776342i | 0.921587 | + | 0.388171i | \(0.126893\pi\) | ||||
−0.921587 | + | 0.388171i | \(0.873107\pi\) | |||||||
\(912\) | 8.55958 | − | 14.9494i | 0.283436 | − | 0.495024i | ||||
\(913\) | 4.80813 | − | 17.9442i | 0.159126 | − | 0.593866i | ||||
\(914\) | −14.3763 | − | 24.9005i | −0.475525 | − | 0.823634i | ||||
\(915\) | 15.5978 | − | 21.2509i | 0.515646 | − | 0.702535i | ||||
\(916\) | 17.3326 | 0.572685 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −2.68628 | + | 0.0289532i | −0.0886605 | + | 0.000955598i | ||||
\(919\) | 27.7085 | + | 15.9975i | 0.914020 | + | 0.527710i | 0.881722 | − | 0.471769i | \(-0.156384\pi\) |
0.0322975 | + | 0.999478i | \(0.489718\pi\) | |||||||
\(920\) | −10.7557 | − | 24.7171i | −0.354604 | − | 0.814900i | ||||
\(921\) | −6.32379 | + | 23.9445i | −0.208376 | + | 0.788997i | ||||
\(922\) | −14.5017 | − | 54.1212i | −0.477589 | − | 1.78239i | ||||
\(923\) | −0.817134 | + | 0.817134i | −0.0268963 | + | 0.0268963i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 31.5917 | − | 19.7656i | 1.03873 | − | 0.649889i | ||||
\(926\) | 35.3494 | + | 20.4090i | 1.16165 | + | 0.670681i | ||||
\(927\) | 1.03049 | − | 3.95941i | 0.0338457 | − | 0.130044i | ||||
\(928\) | −5.47717 | + | 20.4411i | −0.179797 | + | 0.671011i | ||||
\(929\) | 24.8929 | − | 43.1157i | 0.816709 | − | 1.41458i | −0.0913849 | − | 0.995816i | \(-0.529129\pi\) |
0.908094 | − | 0.418766i | \(-0.137537\pi\) | |||||||
\(930\) | −48.2384 | − | 60.1639i | −1.58180 | − | 1.97285i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7.40423 | + | 7.40423i | 0.242534 | + | 0.242534i | ||||
\(933\) | 0.339222 | − | 0.592455i | 0.0111056 | − | 0.0193961i | ||||
\(934\) | 52.5972 | − | 30.3670i | 1.72103 | − | 0.993638i | ||||
\(935\) | −0.656308 | + | 1.66752i | −0.0214636 | + | 0.0545338i | ||||
\(936\) | 0.726672 | − | 1.27978i | 0.0237520 | − | 0.0418310i | ||||
\(937\) | −18.0919 | + | 18.0919i | −0.591035 | + | 0.591035i | −0.937911 | − | 0.346876i | \(-0.887243\pi\) |
0.346876 | + | 0.937911i | \(0.387243\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.9157 | + | 18.0449i | −0.584656 | + | 0.588872i | ||||
\(940\) | −30.8814 | + | 4.62421i | −1.00724 | + | 0.150825i | ||||
\(941\) | 52.8710 | − | 30.5251i | 1.72355 | − | 0.995090i | 0.812285 | − | 0.583261i | \(-0.198224\pi\) |
0.911261 | − | 0.411829i | \(-0.135110\pi\) | |||||||
\(942\) | −19.9579 | + | 11.6185i | −0.650263 | + | 0.378551i | ||||
\(943\) | 0.218472 | − | 0.0585393i | 0.00711441 | − | 0.00190630i | ||||
\(944\) | −19.3082 | −0.628430 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −39.3986 | −1.28096 | ||||||||
\(947\) | 38.4259 | − | 10.2962i | 1.24867 | − | 0.334581i | 0.426850 | − | 0.904323i | \(-0.359623\pi\) |
0.821824 | + | 0.569741i | \(0.192957\pi\) | |||||||
\(948\) | −47.4333 | + | 27.6133i | −1.54056 | + | 0.896839i | ||||
\(949\) | −3.08185 | + | 1.77930i | −0.100041 | + | 0.0577587i | ||||
\(950\) | −2.05791 | − | 57.9877i | −0.0667673 | − | 1.88137i | ||||
\(951\) | −34.1841 | + | 34.4306i | −1.10850 | + | 1.11649i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 16.4406 | − | 16.4406i | 0.532564 | − | 0.532564i | −0.388771 | − | 0.921335i | \(-0.627100\pi\) |
0.921335 | + | 0.388771i | \(0.127100\pi\) | |||||||
\(954\) | 16.2533 | − | 28.6246i | 0.526221 | − | 0.926756i | ||||
\(955\) | −5.69129 | − | 13.0789i | −0.184166 | − | 0.423224i | ||||
\(956\) | −4.99993 | + | 2.88671i | −0.161709 | + | 0.0933629i | ||||
\(957\) | 8.28154 | − | 14.4638i | 0.267704 | − | 0.467548i | ||||
\(958\) | 41.6493 | + | 41.6493i | 1.34563 | + | 1.34563i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 5.29975 | − | 48.1748i | 0.171049 | − | 1.55483i | ||||
\(961\) | −26.0668 | + | 45.1489i | −0.840863 | + | 1.45642i | ||||
\(962\) | 1.23097 | − | 4.59404i | 0.0396880 | − | 0.148118i | ||||
\(963\) | −3.16143 | + | 12.1471i | −0.101876 | + | 0.391434i | ||||
\(964\) | −13.0365 | − | 7.52664i | −0.419878 | − | 0.242417i | ||||
\(965\) | −18.7138 | + | 14.8943i | −0.602417 | + | 0.479463i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.29391 | + | 3.29391i | −0.105925 | + | 0.105925i | −0.758083 | − | 0.652158i | \(-0.773864\pi\) |
0.652158 | + | 0.758083i | \(0.273864\pi\) | |||||||
\(968\) | −0.199287 | − | 0.743749i | −0.00640533 | − | 0.0239050i | ||||
\(969\) | −0.556444 | + | 2.10693i | −0.0178756 | + | 0.0676843i | ||||
\(970\) | 14.3586 | − | 6.24815i | 0.461027 | − | 0.200616i | ||||
\(971\) | −27.9865 | − | 16.1580i | −0.898130 | − | 0.518536i | −0.0215373 | − | 0.999768i | \(-0.506856\pi\) |
−0.876593 | + | 0.481232i | \(0.840189\pi\) | |||||||
\(972\) | −43.1535 | + | 0.775246i | −1.38415 | + | 0.0248660i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 88.4809 | 2.83511 | ||||||||
\(975\) | 0.0988406 | + | 2.52878i | 0.00316543 | + | 0.0809859i | ||||
\(976\) | −6.36916 | − | 11.0317i | −0.203872 | − | 0.353116i | ||||
\(977\) | 3.08465 | − | 11.5121i | 0.0986867 | − | 0.368304i | −0.898866 | − | 0.438224i | \(-0.855608\pi\) |
0.997553 | + | 0.0699201i | \(0.0222744\pi\) | |||||||
\(978\) | −9.50600 | + | 16.6023i | −0.303968 | + | 0.530884i | ||||
\(979\) | 6.77655i | 0.216580i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.0608251 | − | 8.46523i | −0.00194200 | − | 0.270274i | ||||
\(982\) | 1.55158 | + | 5.79059i | 0.0495130 | + | 0.184785i | ||||
\(983\) | −59.0506 | − | 15.8226i | −1.88342 | − | 0.504661i | −0.999300 | − | 0.0374024i | \(-0.988092\pi\) |
−0.884121 | − | 0.467259i | \(-0.845242\pi\) | |||||||
\(984\) | −0.0885465 | − | 0.0233853i | −0.00282276 | − | 0.000745497i | ||||
\(985\) | −0.475281 | − | 3.17402i | −0.0151437 | − | 0.101133i | ||||
\(986\) | − | 1.46968i | − | 0.0468041i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.04031 | − | 3.04031i | −0.0967251 | − | 0.0967251i | ||||
\(989\) | 19.1367 | − | 33.1457i | 0.608510 | − | 1.05397i | ||||
\(990\) | −17.8289 | + | 46.2719i | −0.566640 | + | 1.47062i | ||||
\(991\) | 12.6486 | + | 21.9080i | 0.401795 | + | 0.695930i | 0.993943 | − | 0.109900i | \(-0.0350530\pi\) |
−0.592147 | + | 0.805830i | \(0.701720\pi\) | |||||||
\(992\) | −65.5639 | + | 17.5678i | −2.08166 | + | 0.557778i | ||||
\(993\) | −0.153913 | − | 42.8417i | −0.00488428 | − | 1.35954i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −20.8855 | − | 2.37360i | −0.662115 | − | 0.0752483i | ||||
\(996\) | −6.90295 | − | 25.3968i | −0.218728 | − | 0.804730i | ||||
\(997\) | −31.8665 | − | 8.53861i | −1.00922 | − | 0.270421i | −0.283919 | − | 0.958848i | \(-0.591635\pi\) |
−0.725305 | + | 0.688428i | \(0.758301\pi\) | |||||||
\(998\) | 63.9448 | + | 17.1340i | 2.02414 | + | 0.542366i | ||||
\(999\) | −37.2976 | + | 10.4260i | −1.18004 | + | 0.329863i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))