Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(23,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.j (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 111.2 | ||
Character | \(\chi\) | \(=\) | 418.111 |
Dual form | 418.2.j.c.177.2 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | −0.305857 | + | 0.111323i | −0.176587 | + | 0.0642723i | −0.428800 | − | 0.903399i | \(-0.641064\pi\) |
0.252214 | + | 0.967672i | \(0.418841\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.749682 | − | 4.25166i | 0.335268 | − | 1.90140i | −0.0893029 | − | 0.996005i | \(-0.528464\pi\) |
0.424571 | − | 0.905395i | \(-0.360425\pi\) | |||||||
\(6\) | 0.305857 | + | 0.111323i | 0.124866 | + | 0.0454474i | ||||
\(7\) | −1.19826 | − | 2.07545i | −0.452901 | − | 0.784448i | 0.545664 | − | 0.838004i | \(-0.316278\pi\) |
−0.998565 | + | 0.0535566i | \(0.982944\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −2.21698 | + | 1.86027i | −0.738993 | + | 0.620088i | ||||
\(10\) | −3.30720 | + | 2.77507i | −1.04583 | + | 0.877555i | ||||
\(11\) | −0.500000 | + | 0.866025i | −0.150756 | + | 0.261116i | ||||
\(12\) | −0.162743 | − | 0.281879i | −0.0469799 | − | 0.0813716i | ||||
\(13\) | −4.65508 | − | 1.69431i | −1.29109 | − | 0.469917i | −0.397003 | − | 0.917817i | \(-0.629950\pi\) |
−0.894084 | + | 0.447900i | \(0.852172\pi\) | |||||||
\(14\) | −0.416153 | + | 2.36012i | −0.111221 | + | 0.630768i | ||||
\(15\) | 0.244011 | + | 1.38386i | 0.0630034 | + | 0.357310i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 3.18738 | + | 2.67453i | 0.773054 | + | 0.648670i | 0.941489 | − | 0.337043i | \(-0.109427\pi\) |
−0.168435 | + | 0.985713i | \(0.553871\pi\) | |||||||
\(18\) | 2.89406 | 0.682136 | ||||||||
\(19\) | 4.07155 | + | 1.55643i | 0.934077 | + | 0.357070i | ||||
\(20\) | 4.31725 | 0.965366 | ||||||||
\(21\) | 0.597543 | + | 0.501398i | 0.130394 | + | 0.109414i | ||||
\(22\) | 0.939693 | − | 0.342020i | 0.200343 | − | 0.0729189i | ||||
\(23\) | −0.236031 | − | 1.33860i | −0.0492158 | − | 0.279117i | 0.950261 | − | 0.311454i | \(-0.100816\pi\) |
−0.999477 | + | 0.0323375i | \(0.989705\pi\) | |||||||
\(24\) | −0.0565201 | + | 0.320541i | −0.0115371 | + | 0.0654302i | ||||
\(25\) | −12.8161 | − | 4.66468i | −2.56322 | − | 0.932936i | ||||
\(26\) | 2.47692 | + | 4.29014i | 0.485763 | + | 0.841367i | ||||
\(27\) | 0.959217 | − | 1.66141i | 0.184601 | − | 0.319739i | ||||
\(28\) | 1.83585 | − | 1.54046i | 0.346942 | − | 0.291119i | ||||
\(29\) | −6.91798 | + | 5.80487i | −1.28464 | + | 1.07794i | −0.292049 | + | 0.956403i | \(0.594337\pi\) |
−0.992587 | + | 0.121535i | \(0.961218\pi\) | |||||||
\(30\) | 0.702602 | − | 1.21694i | 0.128277 | − | 0.222182i | ||||
\(31\) | −3.51083 | − | 6.08094i | −0.630564 | − | 1.09217i | −0.987437 | − | 0.158016i | \(-0.949490\pi\) |
0.356873 | − | 0.934153i | \(-0.383843\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0.0565201 | − | 0.320541i | 0.00983888 | − | 0.0557991i | ||||
\(34\) | −0.722521 | − | 4.09762i | −0.123911 | − | 0.702737i | ||||
\(35\) | −9.72243 | + | 3.53868i | −1.64339 | + | 0.598146i | ||||
\(36\) | −2.21698 | − | 1.86027i | −0.369496 | − | 0.310044i | ||||
\(37\) | 1.26563 | 0.208069 | 0.104035 | − | 0.994574i | \(-0.466825\pi\) | ||||
0.104035 | + | 0.994574i | \(0.466825\pi\) | |||||||
\(38\) | −2.11853 | − | 3.80944i | −0.343671 | − | 0.617973i | ||||
\(39\) | 1.61240 | 0.258191 | ||||||||
\(40\) | −3.30720 | − | 2.77507i | −0.522915 | − | 0.438778i | ||||
\(41\) | −6.40580 | + | 2.33152i | −1.00042 | + | 0.364123i | −0.789746 | − | 0.613434i | \(-0.789788\pi\) |
−0.210673 | + | 0.977557i | \(0.567565\pi\) | |||||||
\(42\) | −0.135452 | − | 0.768186i | −0.0209007 | − | 0.118534i | ||||
\(43\) | 1.05426 | − | 5.97903i | 0.160774 | − | 0.911794i | −0.792542 | − | 0.609818i | \(-0.791243\pi\) |
0.953315 | − | 0.301976i | \(-0.0976463\pi\) | |||||||
\(44\) | −0.939693 | − | 0.342020i | −0.141664 | − | 0.0515615i | ||||
\(45\) | 6.24718 | + | 10.8204i | 0.931275 | + | 1.61302i | ||||
\(46\) | −0.679623 | + | 1.17714i | −0.100205 | + | 0.173560i | ||||
\(47\) | 7.85790 | − | 6.59356i | 1.14619 | − | 0.961769i | 0.146568 | − | 0.989201i | \(-0.453177\pi\) |
0.999624 | + | 0.0274312i | \(0.00873272\pi\) | |||||||
\(48\) | 0.249337 | − | 0.209219i | 0.0359887 | − | 0.0301981i | ||||
\(49\) | 0.628329 | − | 1.08830i | 0.0897613 | − | 0.155471i | ||||
\(50\) | 6.81931 | + | 11.8114i | 0.964396 | + | 1.67038i | ||||
\(51\) | −1.27262 | − | 0.463196i | −0.178203 | − | 0.0648604i | ||||
\(52\) | 0.860224 | − | 4.87857i | 0.119292 | − | 0.676536i | ||||
\(53\) | −0.959843 | − | 5.44354i | −0.131845 | − | 0.747728i | −0.977005 | − | 0.213215i | \(-0.931606\pi\) |
0.845161 | − | 0.534512i | \(-0.179505\pi\) | |||||||
\(54\) | −1.80274 | + | 0.656143i | −0.245322 | + | 0.0892898i | ||||
\(55\) | 3.30720 | + | 2.77507i | 0.445943 | + | 0.374191i | ||||
\(56\) | −2.39653 | −0.320249 | ||||||||
\(57\) | −1.41858 | − | 0.0227896i | −0.187895 | − | 0.00301856i | ||||
\(58\) | 9.03078 | 1.18580 | ||||||||
\(59\) | 0.924752 | + | 0.775959i | 0.120392 | + | 0.101021i | 0.700996 | − | 0.713165i | \(-0.252739\pi\) |
−0.580604 | + | 0.814186i | \(0.697183\pi\) | |||||||
\(60\) | −1.32046 | + | 0.480608i | −0.170471 | + | 0.0620462i | ||||
\(61\) | −1.12343 | − | 6.37130i | −0.143841 | − | 0.815761i | −0.968291 | − | 0.249826i | \(-0.919627\pi\) |
0.824450 | − | 0.565935i | \(-0.191485\pi\) | |||||||
\(62\) | −1.21930 | + | 6.91499i | −0.154851 | + | 0.878205i | ||||
\(63\) | 6.51742 | + | 2.37215i | 0.821117 | + | 0.298862i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −10.6935 | + | 18.5216i | −1.32636 | + | 2.29732i | ||||
\(66\) | −0.249337 | + | 0.209219i | −0.0306913 | + | 0.0257530i | ||||
\(67\) | −9.06743 | + | 7.60848i | −1.10776 | + | 0.929524i | −0.997923 | − | 0.0644255i | \(-0.979479\pi\) |
−0.109841 | + | 0.993949i | \(0.535034\pi\) | |||||||
\(68\) | −2.08042 | + | 3.60339i | −0.252288 | + | 0.436975i | ||||
\(69\) | 0.221208 | + | 0.383143i | 0.0266303 | + | 0.0461250i | ||||
\(70\) | 9.72243 | + | 3.53868i | 1.16205 | + | 0.422953i | ||||
\(71\) | 1.47522 | − | 8.36639i | 0.175076 | − | 0.992907i | −0.762979 | − | 0.646423i | \(-0.776264\pi\) |
0.938056 | − | 0.346484i | \(-0.112625\pi\) | |||||||
\(72\) | 0.502548 | + | 2.85009i | 0.0592259 | + | 0.335887i | ||||
\(73\) | 6.03518 | − | 2.19663i | 0.706365 | − | 0.257096i | 0.0362388 | − | 0.999343i | \(-0.488462\pi\) |
0.670126 | + | 0.742247i | \(0.266240\pi\) | |||||||
\(74\) | −0.969532 | − | 0.813534i | −0.112706 | − | 0.0945714i | ||||
\(75\) | 4.43918 | 0.512593 | ||||||||
\(76\) | −0.825771 | + | 4.27997i | −0.0947224 | + | 0.490946i | ||||
\(77\) | 2.39653 | 0.273110 | ||||||||
\(78\) | −1.23517 | − | 1.03643i | −0.139856 | − | 0.117353i | ||||
\(79\) | 9.95046 | − | 3.62167i | 1.11951 | − | 0.407470i | 0.285039 | − | 0.958516i | \(-0.407993\pi\) |
0.834475 | + | 0.551046i | \(0.185771\pi\) | |||||||
\(80\) | 0.749682 | + | 4.25166i | 0.0838170 | + | 0.475350i | ||||
\(81\) | 1.39921 | − | 7.93534i | 0.155468 | − | 0.881704i | ||||
\(82\) | 6.40580 | + | 2.33152i | 0.707403 | + | 0.257474i | ||||
\(83\) | 1.87900 | + | 3.25453i | 0.206247 | + | 0.357231i | 0.950529 | − | 0.310635i | \(-0.100542\pi\) |
−0.744282 | + | 0.667865i | \(0.767208\pi\) | |||||||
\(84\) | −0.390018 | + | 0.675531i | −0.0425545 | + | 0.0737065i | ||||
\(85\) | 13.7607 | − | 11.5466i | 1.49256 | − | 1.25241i | ||||
\(86\) | −4.65086 | + | 3.90254i | −0.501515 | + | 0.420821i | ||||
\(87\) | 1.46970 | − | 2.54559i | 0.157568 | − | 0.272916i | ||||
\(88\) | 0.500000 | + | 0.866025i | 0.0533002 | + | 0.0923186i | ||||
\(89\) | 10.1630 | + | 3.69904i | 1.07728 | + | 0.392098i | 0.818895 | − | 0.573944i | \(-0.194587\pi\) |
0.258386 | + | 0.966042i | \(0.416810\pi\) | |||||||
\(90\) | 2.16962 | − | 12.3045i | 0.228698 | − | 1.29701i | ||||
\(91\) | 2.06155 | + | 11.6916i | 0.216109 | + | 1.22562i | ||||
\(92\) | 1.27727 | − | 0.464890i | 0.133165 | − | 0.0484681i | ||||
\(93\) | 1.75076 | + | 1.46906i | 0.181545 | + | 0.152335i | ||||
\(94\) | −10.2578 | −1.05801 | ||||||||
\(95\) | 9.66979 | − | 16.1440i | 0.992100 | − | 1.65634i | ||||
\(96\) | −0.325486 | −0.0332198 | ||||||||
\(97\) | −3.60440 | − | 3.02445i | −0.365972 | − | 0.307087i | 0.441194 | − | 0.897412i | \(-0.354555\pi\) |
−0.807166 | + | 0.590325i | \(0.799000\pi\) | |||||||
\(98\) | −1.18087 | + | 0.429802i | −0.119286 | + | 0.0434166i | ||||
\(99\) | −0.502548 | − | 2.85009i | −0.0505080 | − | 0.286445i | ||||
\(100\) | 2.36832 | − | 13.4314i | 0.236832 | − | 1.34314i | ||||
\(101\) | −12.8296 | − | 4.66959i | −1.27659 | − | 0.464642i | −0.387289 | − | 0.921959i | \(-0.626588\pi\) |
−0.889304 | + | 0.457317i | \(0.848811\pi\) | |||||||
\(102\) | 0.677147 | + | 1.17285i | 0.0670476 | + | 0.116130i | ||||
\(103\) | 6.16281 | − | 10.6743i | 0.607240 | − | 1.05177i | −0.384453 | − | 0.923145i | \(-0.625610\pi\) |
0.991693 | − | 0.128626i | \(-0.0410567\pi\) | |||||||
\(104\) | −3.79486 | + | 3.18426i | −0.372116 | + | 0.312243i | ||||
\(105\) | 2.57974 | − | 2.16466i | 0.251757 | − | 0.211249i | ||||
\(106\) | −2.76376 | + | 4.78697i | −0.268440 | + | 0.464951i | ||||
\(107\) | 1.85606 | + | 3.21480i | 0.179432 | + | 0.310786i | 0.941686 | − | 0.336492i | \(-0.109241\pi\) |
−0.762254 | + | 0.647278i | \(0.775907\pi\) | |||||||
\(108\) | 1.80274 | + | 0.656143i | 0.173469 | + | 0.0631374i | ||||
\(109\) | −1.98326 | + | 11.2476i | −0.189962 | + | 1.07733i | 0.729451 | + | 0.684033i | \(0.239776\pi\) |
−0.919413 | + | 0.393294i | \(0.871335\pi\) | |||||||
\(110\) | −0.749682 | − | 4.25166i | −0.0714794 | − | 0.405380i | ||||
\(111\) | −0.387103 | + | 0.140894i | −0.0367422 | + | 0.0133731i | ||||
\(112\) | 1.83585 | + | 1.54046i | 0.173471 | + | 0.145560i | ||||
\(113\) | 11.2564 | 1.05891 | 0.529457 | − | 0.848337i | \(-0.322396\pi\) | ||||
0.529457 | + | 0.848337i | \(0.322396\pi\) | |||||||
\(114\) | 1.07205 | + | 0.929303i | 0.100406 | + | 0.0870372i | ||||
\(115\) | −5.86820 | −0.547212 | ||||||||
\(116\) | −6.91798 | − | 5.80487i | −0.642318 | − | 0.538969i | ||||
\(117\) | 13.4721 | − | 4.90343i | 1.24549 | − | 0.453323i | ||||
\(118\) | −0.209624 | − | 1.18884i | −0.0192975 | − | 0.109441i | ||||
\(119\) | 1.73154 | − | 9.82006i | 0.158730 | − | 0.900204i | ||||
\(120\) | 1.32046 | + | 0.480608i | 0.120541 | + | 0.0438733i | ||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | −3.23479 | + | 5.60282i | −0.292864 | + | 0.507256i | ||||
\(123\) | 1.69971 | − | 1.42622i | 0.153258 | − | 0.128598i | ||||
\(124\) | 5.37891 | − | 4.51344i | 0.483040 | − | 0.405319i | ||||
\(125\) | −18.6475 | + | 32.2985i | −1.66789 | + | 2.88886i | ||||
\(126\) | −3.46784 | − | 6.00648i | −0.308940 | − | 0.535100i | ||||
\(127\) | −8.32800 | − | 3.03114i | −0.738990 | − | 0.268971i | −0.0550250 | − | 0.998485i | \(-0.517524\pi\) |
−0.683965 | + | 0.729514i | \(0.739746\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | 0.343149 | + | 1.94609i | 0.0302126 | + | 0.171344i | ||||
\(130\) | 20.0971 | − | 7.31476i | 1.76263 | − | 0.641547i | ||||
\(131\) | 11.4389 | + | 9.59841i | 0.999425 | + | 0.838617i | 0.986905 | − | 0.161305i | \(-0.0515702\pi\) |
0.0125201 | + | 0.999922i | \(0.496015\pi\) | |||||||
\(132\) | 0.325486 | 0.0283299 | ||||||||
\(133\) | −1.64848 | − | 10.3153i | −0.142942 | − | 0.894452i | ||||
\(134\) | 11.8367 | 1.02253 | ||||||||
\(135\) | −6.34465 | − | 5.32380i | −0.546061 | − | 0.458199i | ||||
\(136\) | 3.90991 | − | 1.42309i | 0.335272 | − | 0.122029i | ||||
\(137\) | −1.70297 | − | 9.65802i | −0.145494 | − | 0.825140i | −0.966969 | − | 0.254895i | \(-0.917959\pi\) |
0.821474 | − | 0.570246i | \(-0.193152\pi\) | |||||||
\(138\) | 0.0768247 | − | 0.435695i | 0.00653975 | − | 0.0370888i | ||||
\(139\) | −1.93580 | − | 0.704572i | −0.164192 | − | 0.0597610i | 0.258616 | − | 0.965980i | \(-0.416733\pi\) |
−0.422808 | + | 0.906219i | \(0.638956\pi\) | |||||||
\(140\) | −5.17320 | − | 8.96024i | −0.437215 | − | 0.757279i | ||||
\(141\) | −1.66938 | + | 2.89145i | −0.140587 | + | 0.243504i | ||||
\(142\) | −6.50789 | + | 5.46077i | −0.546130 | + | 0.458258i | ||||
\(143\) | 3.79486 | − | 3.18426i | 0.317342 | − | 0.266281i | ||||
\(144\) | 1.44703 | − | 2.50633i | 0.120586 | − | 0.208861i | ||||
\(145\) | 19.4941 | + | 33.7647i | 1.61889 | + | 2.80400i | ||||
\(146\) | −6.03518 | − | 2.19663i | −0.499475 | − | 0.181794i | ||||
\(147\) | −0.0710264 | + | 0.402811i | −0.00585816 | + | 0.0332233i | ||||
\(148\) | 0.219775 | + | 1.24641i | 0.0180654 | + | 0.102454i | ||||
\(149\) | −2.11161 | + | 0.768565i | −0.172990 | + | 0.0629633i | −0.427063 | − | 0.904222i | \(-0.640452\pi\) |
0.254073 | + | 0.967185i | \(0.418230\pi\) | |||||||
\(150\) | −3.40061 | − | 2.85345i | −0.277659 | − | 0.232983i | ||||
\(151\) | 0.400935 | 0.0326276 | 0.0163138 | − | 0.999867i | \(-0.494807\pi\) | ||||
0.0163138 | + | 0.999867i | \(0.494807\pi\) | |||||||
\(152\) | 3.38369 | − | 2.74785i | 0.274453 | − | 0.222880i | ||||
\(153\) | −12.0417 | −0.973514 | ||||||||
\(154\) | −1.83585 | − | 1.54046i | −0.147937 | − | 0.124134i | ||||
\(155\) | −28.4861 | + | 10.3681i | −2.28806 | + | 0.832785i | ||||
\(156\) | 0.279991 | + | 1.58791i | 0.0224172 | + | 0.127134i | ||||
\(157\) | 1.41427 | − | 8.02072i | 0.112871 | − | 0.640123i | −0.874911 | − | 0.484283i | \(-0.839080\pi\) |
0.987782 | − | 0.155840i | \(-0.0498084\pi\) | |||||||
\(158\) | −9.95046 | − | 3.62167i | −0.791616 | − | 0.288125i | ||||
\(159\) | 0.899565 | + | 1.55809i | 0.0713401 | + | 0.123565i | ||||
\(160\) | 2.15862 | − | 3.73885i | 0.170654 | − | 0.295582i | ||||
\(161\) | −2.49537 | + | 2.09386i | −0.196662 | + | 0.165019i | ||||
\(162\) | −6.17260 | + | 5.17942i | −0.484965 | + | 0.406934i | ||||
\(163\) | 9.74378 | − | 16.8767i | 0.763192 | − | 1.32189i | −0.178005 | − | 0.984030i | \(-0.556964\pi\) |
0.941197 | − | 0.337858i | \(-0.109702\pi\) | |||||||
\(164\) | −3.40846 | − | 5.90362i | −0.266156 | − | 0.460995i | ||||
\(165\) | −1.32046 | − | 0.480608i | −0.102798 | − | 0.0374153i | ||||
\(166\) | 0.652571 | − | 3.70091i | 0.0506493 | − | 0.287246i | ||||
\(167\) | 2.02397 | + | 11.4785i | 0.156620 | + | 0.888234i | 0.957290 | + | 0.289129i | \(0.0933658\pi\) |
−0.800670 | + | 0.599105i | \(0.795523\pi\) | |||||||
\(168\) | 0.732995 | − | 0.266788i | 0.0565518 | − | 0.0205832i | ||||
\(169\) | 8.84050 | + | 7.41806i | 0.680039 | + | 0.570620i | ||||
\(170\) | −17.9634 | −1.37773 | ||||||||
\(171\) | −11.9219 | + | 4.12358i | −0.911691 | + | 0.315338i | ||||
\(172\) | 6.07127 | 0.462930 | ||||||||
\(173\) | 8.06249 | + | 6.76523i | 0.612980 | + | 0.514351i | 0.895588 | − | 0.444884i | \(-0.146755\pi\) |
−0.282608 | + | 0.959235i | \(0.591200\pi\) | |||||||
\(174\) | −2.76213 | + | 1.00533i | −0.209396 | + | 0.0762140i | ||||
\(175\) | 5.67575 | + | 32.1888i | 0.429046 | + | 2.43324i | ||||
\(176\) | 0.173648 | − | 0.984808i | 0.0130892 | − | 0.0742327i | ||||
\(177\) | −0.369224 | − | 0.134387i | −0.0277526 | − | 0.0101011i | ||||
\(178\) | −5.40764 | − | 9.36631i | −0.405320 | − | 0.702034i | ||||
\(179\) | 6.11737 | − | 10.5956i | 0.457234 | − | 0.791952i | −0.541580 | − | 0.840649i | \(-0.682174\pi\) |
0.998814 | + | 0.0486972i | \(0.0155069\pi\) | |||||||
\(180\) | −9.57124 | + | 8.03122i | −0.713398 | + | 0.598612i | ||||
\(181\) | 12.4649 | − | 10.4593i | 0.926511 | − | 0.777435i | −0.0486768 | − | 0.998815i | \(-0.515500\pi\) |
0.975188 | + | 0.221380i | \(0.0710560\pi\) | |||||||
\(182\) | 5.93600 | − | 10.2814i | 0.440005 | − | 0.762112i | ||||
\(183\) | 1.05288 | + | 1.82364i | 0.0778311 | + | 0.134807i | ||||
\(184\) | −1.27727 | − | 0.464890i | −0.0941618 | − | 0.0342721i | ||||
\(185\) | 0.948823 | − | 5.38104i | 0.0697589 | − | 0.395622i | ||||
\(186\) | −0.396865 | − | 2.25073i | −0.0290996 | − | 0.165032i | ||||
\(187\) | −3.90991 | + | 1.42309i | −0.285921 | + | 0.104067i | ||||
\(188\) | 7.85790 | + | 6.59356i | 0.573096 | + | 0.480885i | ||||
\(189\) | −4.59758 | −0.334425 | ||||||||
\(190\) | −17.7847 | + | 6.15140i | −1.29023 | + | 0.446270i | ||||
\(191\) | −25.6348 | −1.85487 | −0.927436 | − | 0.373981i | \(-0.877992\pi\) | ||||
−0.927436 | + | 0.373981i | \(0.877992\pi\) | |||||||
\(192\) | 0.249337 | + | 0.209219i | 0.0179943 | + | 0.0150990i | ||||
\(193\) | −13.8360 | + | 5.03591i | −0.995940 | + | 0.362492i | −0.788017 | − | 0.615653i | \(-0.788892\pi\) |
−0.207922 | + | 0.978145i | \(0.566670\pi\) | |||||||
\(194\) | 0.817052 | + | 4.63373i | 0.0586609 | + | 0.332683i | ||||
\(195\) | 1.20879 | − | 6.85539i | 0.0865633 | − | 0.490925i | ||||
\(196\) | 1.18087 | + | 0.429802i | 0.0843480 | + | 0.0307002i | ||||
\(197\) | −0.199622 | − | 0.345756i | −0.0142225 | − | 0.0246341i | 0.858827 | − | 0.512266i | \(-0.171194\pi\) |
−0.873049 | + | 0.487632i | \(0.837861\pi\) | |||||||
\(198\) | −1.44703 | + | 2.50633i | −0.102836 | + | 0.178117i | ||||
\(199\) | −2.06268 | + | 1.73080i | −0.146220 | + | 0.122693i | −0.712963 | − | 0.701201i | \(-0.752647\pi\) |
0.566744 | + | 0.823894i | \(0.308203\pi\) | |||||||
\(200\) | −10.4478 | + | 8.76673i | −0.738770 | + | 0.619902i | ||||
\(201\) | 1.92634 | − | 3.33652i | 0.135874 | − | 0.235340i | ||||
\(202\) | 6.82649 | + | 11.8238i | 0.480310 | + | 0.831921i | ||||
\(203\) | 20.3373 | + | 7.40217i | 1.42740 | + | 0.519531i | ||||
\(204\) | 0.235171 | − | 1.33372i | 0.0164652 | − | 0.0933791i | ||||
\(205\) | 5.11052 | + | 28.9832i | 0.356934 | + | 2.02427i | ||||
\(206\) | −11.5823 | + | 4.21561i | −0.806977 | + | 0.293716i | ||||
\(207\) | 3.01342 | + | 2.52856i | 0.209447 | + | 0.175747i | ||||
\(208\) | 4.95383 | 0.343486 | ||||||||
\(209\) | −3.38369 | + | 2.74785i | −0.234054 | + | 0.190073i | ||||
\(210\) | −3.36761 | −0.232387 | ||||||||
\(211\) | −5.27588 | − | 4.42699i | −0.363207 | − | 0.304767i | 0.442861 | − | 0.896590i | \(-0.353964\pi\) |
−0.806067 | + | 0.591824i | \(0.798408\pi\) | |||||||
\(212\) | 5.19417 | − | 1.89052i | 0.356737 | − | 0.129842i | ||||
\(213\) | 0.480164 | + | 2.72314i | 0.0329003 | + | 0.186587i | ||||
\(214\) | 0.644604 | − | 3.65573i | 0.0440642 | − | 0.249901i | ||||
\(215\) | −24.6304 | − | 8.96475i | −1.67978 | − | 0.611391i | ||||
\(216\) | −0.959217 | − | 1.66141i | −0.0652665 | − | 0.113045i | ||||
\(217\) | −8.41380 | + | 14.5731i | −0.571166 | + | 0.989289i | ||||
\(218\) | 8.74910 | − | 7.34137i | 0.592564 | − | 0.497220i | ||||
\(219\) | −1.60137 | + | 1.34371i | −0.108210 | + | 0.0907993i | ||||
\(220\) | −2.15862 | + | 3.73885i | −0.145534 | + | 0.252073i | ||||
\(221\) | −10.3060 | − | 17.8506i | −0.693259 | − | 1.20076i | ||||
\(222\) | 0.387103 | + | 0.140894i | 0.0259807 | + | 0.00945619i | ||||
\(223\) | −2.42581 | + | 13.7574i | −0.162444 | + | 0.921266i | 0.789217 | + | 0.614115i | \(0.210487\pi\) |
−0.951661 | + | 0.307151i | \(0.900624\pi\) | |||||||
\(224\) | −0.416153 | − | 2.36012i | −0.0278054 | − | 0.157692i | ||||
\(225\) | 37.0906 | − | 13.4999i | 2.47270 | − | 0.899991i | ||||
\(226\) | −8.62290 | − | 7.23548i | −0.573587 | − | 0.481297i | ||||
\(227\) | 1.24242 | 0.0824622 | 0.0412311 | − | 0.999150i | \(-0.486872\pi\) | ||||
0.0412311 | + | 0.999150i | \(0.486872\pi\) | |||||||
\(228\) | −0.223890 | − | 1.40098i | −0.0148275 | − | 0.0927825i | ||||
\(229\) | 2.33480 | 0.154288 | 0.0771440 | − | 0.997020i | \(-0.475420\pi\) | ||||
0.0771440 | + | 0.997020i | \(0.475420\pi\) | |||||||
\(230\) | 4.49530 | + | 3.77201i | 0.296411 | + | 0.248719i | ||||
\(231\) | −0.732995 | + | 0.266788i | −0.0482275 | + | 0.0175534i | ||||
\(232\) | 1.56818 | + | 8.89358i | 0.102956 | + | 0.583892i | ||||
\(233\) | −1.43152 | + | 8.11854i | −0.0937818 | + | 0.531863i | 0.901332 | + | 0.433129i | \(0.142590\pi\) |
−0.995114 | + | 0.0987343i | \(0.968521\pi\) | |||||||
\(234\) | −13.4721 | − | 4.90343i | −0.880697 | − | 0.320548i | ||||
\(235\) | −22.1426 | − | 38.3522i | −1.44443 | − | 2.50182i | ||||
\(236\) | −0.603589 | + | 1.04545i | −0.0392903 | + | 0.0680528i | ||||
\(237\) | −2.64024 | + | 2.21543i | −0.171502 | + | 0.143907i | ||||
\(238\) | −7.63865 | + | 6.40959i | −0.495140 | + | 0.415472i | ||||
\(239\) | 13.4212 | − | 23.2462i | 0.868147 | − | 1.50367i | 0.00425815 | − | 0.999991i | \(-0.498645\pi\) |
0.863888 | − | 0.503683i | \(-0.168022\pi\) | |||||||
\(240\) | −0.702602 | − | 1.21694i | −0.0453528 | − | 0.0785533i | ||||
\(241\) | −9.08552 | − | 3.30686i | −0.585250 | − | 0.213014i | 0.0323890 | − | 0.999475i | \(-0.489688\pi\) |
−0.617639 | + | 0.786462i | \(0.711911\pi\) | |||||||
\(242\) | −0.173648 | + | 0.984808i | −0.0111625 | + | 0.0633058i | ||||
\(243\) | 1.45482 | + | 8.25071i | 0.0933269 | + | 0.529283i | ||||
\(244\) | 6.07942 | − | 2.21273i | 0.389195 | − | 0.141655i | ||||
\(245\) | −4.15602 | − | 3.48732i | −0.265519 | − | 0.222797i | ||||
\(246\) | −2.21881 | −0.141466 | ||||||||
\(247\) | −16.3163 | − | 14.1438i | −1.03818 | − | 0.899948i | ||||
\(248\) | −7.02166 | −0.445876 | ||||||||
\(249\) | −0.937009 | − | 0.786244i | −0.0593805 | − | 0.0498262i | ||||
\(250\) | 35.0459 | − | 12.7557i | 2.21650 | − | 0.806739i | ||||
\(251\) | 1.20130 | + | 6.81292i | 0.0758255 | + | 0.430028i | 0.998962 | + | 0.0455550i | \(0.0145056\pi\) |
−0.923136 | + | 0.384473i | \(0.874383\pi\) | |||||||
\(252\) | −1.20437 | + | 6.83032i | −0.0758682 | + | 0.430270i | ||||
\(253\) | 1.27727 | + | 0.464890i | 0.0803015 | + | 0.0292274i | ||||
\(254\) | 4.43124 | + | 7.67513i | 0.278040 | + | 0.481580i | ||||
\(255\) | −2.92341 | + | 5.06350i | −0.183071 | + | 0.317089i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −2.36199 | + | 1.98195i | −0.147337 | + | 0.123630i | −0.713477 | − | 0.700679i | \(-0.752881\pi\) |
0.566140 | + | 0.824309i | \(0.308436\pi\) | |||||||
\(258\) | 0.988057 | − | 1.71137i | 0.0615138 | − | 0.106545i | ||||
\(259\) | −1.51656 | − | 2.62676i | −0.0942347 | − | 0.163219i | ||||
\(260\) | −20.0971 | − | 7.31476i | −1.24637 | − | 0.453642i | ||||
\(261\) | 4.53840 | − | 25.7386i | 0.280920 | − | 1.59318i | ||||
\(262\) | −2.59300 | − | 14.7056i | −0.160196 | − | 0.908516i | ||||
\(263\) | 24.6400 | − | 8.96824i | 1.51937 | − | 0.553005i | 0.558378 | − | 0.829586i | \(-0.311424\pi\) |
0.960991 | + | 0.276581i | \(0.0892015\pi\) | |||||||
\(264\) | −0.249337 | − | 0.209219i | −0.0153456 | − | 0.0128765i | ||||
\(265\) | −23.8636 | −1.46593 | ||||||||
\(266\) | −5.36775 | + | 8.96162i | −0.329118 | + | 0.549472i | ||||
\(267\) | −3.52022 | −0.215434 | ||||||||
\(268\) | −9.06743 | − | 7.60848i | −0.553882 | − | 0.464762i | ||||
\(269\) | −21.8767 | + | 7.96246i | −1.33385 | + | 0.485480i | −0.907869 | − | 0.419254i | \(-0.862292\pi\) |
−0.425976 | + | 0.904734i | \(0.640069\pi\) | |||||||
\(270\) | 1.43822 | + | 8.15653i | 0.0875270 | + | 0.496391i | ||||
\(271\) | 3.17445 | − | 18.0032i | 0.192834 | − | 1.09362i | −0.722635 | − | 0.691230i | \(-0.757069\pi\) |
0.915469 | − | 0.402388i | \(-0.131820\pi\) | |||||||
\(272\) | −3.90991 | − | 1.42309i | −0.237073 | − | 0.0862875i | ||||
\(273\) | −1.93209 | − | 3.34647i | −0.116935 | − | 0.202538i | ||||
\(274\) | −4.90351 | + | 8.49312i | −0.296232 | + | 0.513088i | ||||
\(275\) | 10.4478 | − | 8.76673i | 0.630025 | − | 0.528654i | ||||
\(276\) | −0.338910 | + | 0.284379i | −0.0204000 | + | 0.0171176i | ||||
\(277\) | 0.760611 | − | 1.31742i | 0.0457007 | − | 0.0791559i | −0.842270 | − | 0.539056i | \(-0.818781\pi\) |
0.887971 | + | 0.459900i | \(0.152115\pi\) | |||||||
\(278\) | 1.03002 | + | 1.78404i | 0.0617762 | + | 0.107000i | ||||
\(279\) | 19.0956 | + | 6.95023i | 1.14322 | + | 0.416099i | ||||
\(280\) | −1.79663 | + | 10.1892i | −0.107369 | + | 0.608922i | ||||
\(281\) | 2.63818 | + | 14.9619i | 0.157381 | + | 0.892551i | 0.956577 | + | 0.291480i | \(0.0941478\pi\) |
−0.799196 | + | 0.601070i | \(0.794741\pi\) | |||||||
\(282\) | 3.13741 | − | 1.14192i | 0.186830 | − | 0.0680005i | ||||
\(283\) | −8.21685 | − | 6.89476i | −0.488441 | − | 0.409851i | 0.365026 | − | 0.930997i | \(-0.381060\pi\) |
−0.853467 | + | 0.521146i | \(0.825505\pi\) | |||||||
\(284\) | 8.49545 | 0.504112 | ||||||||
\(285\) | −1.16038 | + | 6.01423i | −0.0687348 | + | 0.356252i | ||||
\(286\) | −4.95383 | −0.292926 | ||||||||
\(287\) | 12.5148 | + | 10.5012i | 0.738726 | + | 0.619864i | ||||
\(288\) | −2.71953 | + | 0.989826i | −0.160250 | + | 0.0583261i | ||||
\(289\) | 0.0542736 | + | 0.307801i | 0.00319257 | + | 0.0181059i | ||||
\(290\) | 6.77021 | − | 38.3958i | 0.397561 | − | 2.25468i | ||||
\(291\) | 1.43912 | + | 0.523798i | 0.0843629 | + | 0.0307056i | ||||
\(292\) | 3.21125 | + | 5.56205i | 0.187924 | + | 0.325495i | ||||
\(293\) | −4.81403 | + | 8.33814i | −0.281238 | + | 0.487119i | −0.971690 | − | 0.236259i | \(-0.924079\pi\) |
0.690452 | + | 0.723379i | \(0.257412\pi\) | |||||||
\(294\) | 0.313331 | − | 0.262916i | 0.0182739 | − | 0.0153336i | ||||
\(295\) | 3.99238 | − | 3.35001i | 0.232446 | − | 0.195045i | ||||
\(296\) | 0.632817 | − | 1.09607i | 0.0367818 | − | 0.0637079i | ||||
\(297\) | 0.959217 | + | 1.66141i | 0.0556594 | + | 0.0964050i | ||||
\(298\) | 2.11161 | + | 0.768565i | 0.122323 | + | 0.0445218i | ||||
\(299\) | −1.16926 | + | 6.63118i | −0.0676198 | + | 0.383491i | ||||
\(300\) | 0.770856 | + | 4.37174i | 0.0445054 | + | 0.252403i | ||||
\(301\) | −13.6725 | + | 4.97638i | −0.788069 | + | 0.286834i | ||||
\(302\) | −0.307134 | − | 0.257716i | −0.0176736 | − | 0.0148299i | ||||
\(303\) | 4.44385 | 0.255293 | ||||||||
\(304\) | −4.35834 | − | 0.0700172i | −0.249968 | − | 0.00401576i | ||||
\(305\) | −27.9308 | −1.59931 | ||||||||
\(306\) | 9.22448 | + | 7.74026i | 0.527328 | + | 0.442481i | ||||
\(307\) | 25.5630 | − | 9.30417i | 1.45896 | − | 0.531017i | 0.513879 | − | 0.857863i | \(-0.328208\pi\) |
0.945078 | + | 0.326846i | \(0.105986\pi\) | |||||||
\(308\) | 0.416153 | + | 2.36012i | 0.0237125 | + | 0.134480i | ||||
\(309\) | −0.696646 | + | 3.95087i | −0.0396308 | + | 0.224757i | ||||
\(310\) | 28.4861 | + | 10.3681i | 1.61790 | + | 0.588868i | ||||
\(311\) | 10.2539 | + | 17.7603i | 0.581446 | + | 1.00709i | 0.995308 | + | 0.0967543i | \(0.0308461\pi\) |
−0.413862 | + | 0.910339i | \(0.635821\pi\) | |||||||
\(312\) | 0.806202 | − | 1.39638i | 0.0456422 | − | 0.0790546i | ||||
\(313\) | 6.86998 | − | 5.76460i | 0.388314 | − | 0.325834i | −0.427642 | − | 0.903948i | \(-0.640656\pi\) |
0.815956 | + | 0.578114i | \(0.196211\pi\) | |||||||
\(314\) | −6.23901 | + | 5.23515i | −0.352088 | + | 0.295437i | ||||
\(315\) | 14.9715 | − | 25.9315i | 0.843551 | − | 1.46107i | ||||
\(316\) | 5.29453 | + | 9.17039i | 0.297840 | + | 0.515875i | ||||
\(317\) | 6.61359 | + | 2.40715i | 0.371456 | + | 0.135199i | 0.521001 | − | 0.853556i | \(-0.325559\pi\) |
−0.149545 | + | 0.988755i | \(0.547781\pi\) | |||||||
\(318\) | 0.312416 | − | 1.77180i | 0.0175194 | − | 0.0993574i | ||||
\(319\) | −1.56818 | − | 8.89358i | −0.0878011 | − | 0.497945i | ||||
\(320\) | −4.05688 | + | 1.47659i | −0.226787 | + | 0.0825436i | ||||
\(321\) | −0.925570 | − | 0.776645i | −0.0516603 | − | 0.0433481i | ||||
\(322\) | 3.25747 | 0.181532 | ||||||||
\(323\) | 8.81486 | + | 15.8504i | 0.490472 | + | 0.881942i | ||||
\(324\) | 8.05775 | 0.447653 | ||||||||
\(325\) | 51.7566 | + | 43.4289i | 2.87094 | + | 2.40900i | ||||
\(326\) | −18.3123 | + | 6.66514i | −1.01423 | + | 0.369148i | ||||
\(327\) | −0.645524 | − | 3.66095i | −0.0356976 | − | 0.202451i | ||||
\(328\) | −1.18374 | + | 6.71335i | −0.0653614 | + | 0.370683i | ||||
\(329\) | −23.1005 | − | 8.40788i | −1.27357 | − | 0.463541i | ||||
\(330\) | 0.702602 | + | 1.21694i | 0.0386770 | + | 0.0669905i | ||||
\(331\) | −1.86555 | + | 3.23123i | −0.102540 | + | 0.177605i | −0.912730 | − | 0.408562i | \(-0.866030\pi\) |
0.810190 | + | 0.586167i | \(0.199364\pi\) | |||||||
\(332\) | −2.87880 | + | 2.41560i | −0.157995 | + | 0.132573i | ||||
\(333\) | −2.80588 | + | 2.35442i | −0.153761 | + | 0.129021i | ||||
\(334\) | 5.82780 | − | 10.0940i | 0.318883 | − | 0.552321i | ||||
\(335\) | 25.5510 | + | 44.2556i | 1.39600 | + | 2.41794i | ||||
\(336\) | −0.732995 | − | 0.266788i | −0.0399881 | − | 0.0145545i | ||||
\(337\) | 1.73311 | − | 9.82895i | 0.0944085 | − | 0.535417i | −0.900519 | − | 0.434818i | \(-0.856813\pi\) |
0.994927 | − | 0.100599i | \(-0.0320760\pi\) | |||||||
\(338\) | −2.00398 | − | 11.3651i | −0.109002 | − | 0.618182i | ||||
\(339\) | −3.44285 | + | 1.25309i | −0.186990 | + | 0.0680588i | ||||
\(340\) | 13.7607 | + | 11.5466i | 0.746280 | + | 0.626203i | ||||
\(341\) | 7.02166 | 0.380244 | ||||||||
\(342\) | 11.7833 | + | 4.50441i | 0.637168 | + | 0.243571i | ||||
\(343\) | −19.7873 | −1.06841 | ||||||||
\(344\) | −4.65086 | − | 3.90254i | −0.250758 | − | 0.210411i | ||||
\(345\) | 1.79483 | − | 0.653265i | 0.0966304 | − | 0.0351706i | ||||
\(346\) | −1.82762 | − | 10.3649i | −0.0982533 | − | 0.557222i | ||||
\(347\) | −0.617210 | + | 3.50037i | −0.0331336 | + | 0.187910i | −0.996882 | − | 0.0789012i | \(-0.974859\pi\) |
0.963749 | + | 0.266811i | \(0.0859699\pi\) | |||||||
\(348\) | 2.76213 | + | 1.00533i | 0.148066 | + | 0.0538915i | ||||
\(349\) | −10.5104 | − | 18.2046i | −0.562611 | − | 0.974471i | −0.997268 | − | 0.0738749i | \(-0.976463\pi\) |
0.434656 | − | 0.900596i | \(-0.356870\pi\) | |||||||
\(350\) | 16.3427 | − | 28.3063i | 0.873552 | − | 1.51304i | ||||
\(351\) | −7.28018 | + | 6.10880i | −0.388587 | + | 0.326064i | ||||
\(352\) | −0.766044 | + | 0.642788i | −0.0408303 | + | 0.0342607i | ||||
\(353\) | 4.97463 | − | 8.61632i | 0.264773 | − | 0.458600i | −0.702731 | − | 0.711456i | \(-0.748036\pi\) |
0.967504 | + | 0.252855i | \(0.0813696\pi\) | |||||||
\(354\) | 0.196460 | + | 0.340279i | 0.0104417 | + | 0.0180856i | ||||
\(355\) | −34.4651 | − | 12.5443i | −1.82922 | − | 0.665780i | ||||
\(356\) | −1.87805 | + | 10.6510i | −0.0995367 | + | 0.564500i | ||||
\(357\) | 0.563593 | + | 3.19630i | 0.0298285 | + | 0.169166i | ||||
\(358\) | −11.4969 | + | 4.18453i | −0.607630 | + | 0.221159i | ||||
\(359\) | 19.6616 | + | 16.4981i | 1.03770 | + | 0.870735i | 0.991747 | − | 0.128208i | \(-0.0409227\pi\) |
0.0459544 | + | 0.998944i | \(0.485367\pi\) | |||||||
\(360\) | 12.4944 | 0.658511 | ||||||||
\(361\) | 14.1550 | + | 12.6742i | 0.745002 | + | 0.667063i | ||||
\(362\) | −16.2718 | −0.855227 | ||||||||
\(363\) | 0.249337 | + | 0.209219i | 0.0130868 | + | 0.0109811i | ||||
\(364\) | −11.1560 | + | 4.06046i | −0.584735 | + | 0.212826i | ||||
\(365\) | −4.81484 | − | 27.3063i | −0.252020 | − | 1.42928i | ||||
\(366\) | 0.365661 | − | 2.07377i | 0.0191134 | − | 0.108398i | ||||
\(367\) | 10.4115 | + | 3.78949i | 0.543477 | + | 0.197810i | 0.599146 | − | 0.800640i | \(-0.295507\pi\) |
−0.0556688 | + | 0.998449i | \(0.517729\pi\) | |||||||
\(368\) | 0.679623 | + | 1.17714i | 0.0354278 | + | 0.0613627i | ||||
\(369\) | 9.86427 | − | 17.0854i | 0.513514 | − | 0.889432i | ||||
\(370\) | −4.18571 | + | 3.51223i | −0.217605 | + | 0.182592i | ||||
\(371\) | −10.1477 | + | 8.51490i | −0.526841 | + | 0.442072i | ||||
\(372\) | −1.14273 | + | 1.97926i | −0.0592477 | + | 0.102620i | ||||
\(373\) | −4.24572 | − | 7.35380i | −0.219835 | − | 0.380765i | 0.734922 | − | 0.678151i | \(-0.237219\pi\) |
−0.954757 | + | 0.297386i | \(0.903885\pi\) | |||||||
\(374\) | 3.90991 | + | 1.42309i | 0.202176 | + | 0.0735862i | ||||
\(375\) | 2.10792 | − | 11.9546i | 0.108852 | − | 0.617333i | ||||
\(376\) | −1.78124 | − | 10.1019i | −0.0918605 | − | 0.520967i | ||||
\(377\) | 42.0390 | − | 15.3009i | 2.16512 | − | 0.788039i | ||||
\(378\) | 3.52195 | + | 2.95527i | 0.181150 | + | 0.152003i | ||||
\(379\) | −24.9177 | −1.27994 | −0.639969 | − | 0.768401i | \(-0.721053\pi\) | ||||
−0.639969 | + | 0.768401i | \(0.721053\pi\) | |||||||
\(380\) | 17.5779 | + | 6.71951i | 0.901726 | + | 0.344703i | ||||
\(381\) | 2.88461 | 0.147783 | ||||||||
\(382\) | 19.6374 | + | 16.4778i | 1.00474 | + | 0.843076i | ||||
\(383\) | −1.63704 | + | 0.595834i | −0.0836488 | + | 0.0304457i | −0.383506 | − | 0.923539i | \(-0.625283\pi\) |
0.299857 | + | 0.953984i | \(0.403061\pi\) | |||||||
\(384\) | −0.0565201 | − | 0.320541i | −0.00288428 | − | 0.0163576i | ||||
\(385\) | 1.79663 | − | 10.1892i | 0.0915649 | − | 0.519290i | ||||
\(386\) | 13.8360 | + | 5.03591i | 0.704236 | + | 0.256321i | ||||
\(387\) | 8.78531 | + | 15.2166i | 0.446582 | + | 0.773503i | ||||
\(388\) | 2.35261 | − | 4.07484i | 0.119436 | − | 0.206868i | ||||
\(389\) | −24.9075 | + | 20.8999i | −1.26286 | + | 1.05967i | −0.267489 | + | 0.963561i | \(0.586194\pi\) |
−0.995371 | + | 0.0961051i | \(0.969362\pi\) | |||||||
\(390\) | −5.33255 | + | 4.47454i | −0.270024 | + | 0.226577i | ||||
\(391\) | 2.82780 | − | 4.89789i | 0.143008 | − | 0.247697i | ||||
\(392\) | −0.628329 | − | 1.08830i | −0.0317354 | − | 0.0549674i | ||||
\(393\) | −4.56720 | − | 1.66233i | −0.230385 | − | 0.0838532i | ||||
\(394\) | −0.0693281 | + | 0.393179i | −0.00349270 | + | 0.0198081i | ||||
\(395\) | −7.93842 | − | 45.0210i | −0.399425 | − | 2.26525i | ||||
\(396\) | 2.71953 | − | 0.989826i | 0.136661 | − | 0.0497406i | ||||
\(397\) | −9.72266 | − | 8.15828i | −0.487966 | − | 0.409452i | 0.365331 | − | 0.930878i | \(-0.380956\pi\) |
−0.853297 | + | 0.521426i | \(0.825400\pi\) | |||||||
\(398\) | 2.69264 | 0.134970 | ||||||||
\(399\) | 1.65253 | + | 2.97150i | 0.0827301 | + | 0.148761i | ||||
\(400\) | 13.6386 | 0.681931 | ||||||||
\(401\) | −15.0467 | − | 12.6257i | −0.751399 | − | 0.630498i | 0.184474 | − | 0.982837i | \(-0.440942\pi\) |
−0.935872 | + | 0.352339i | \(0.885386\pi\) | |||||||
\(402\) | −3.62034 | + | 1.31769i | −0.180566 | + | 0.0657206i | ||||
\(403\) | 6.04020 | + | 34.2557i | 0.300884 | + | 1.70640i | ||||
\(404\) | 2.37081 | − | 13.4456i | 0.117952 | − | 0.668941i | ||||
\(405\) | −32.6894 | − | 11.8980i | −1.62435 | − | 0.591214i | ||||
\(406\) | −10.8213 | − | 18.7430i | −0.537050 | − | 0.930198i | ||||
\(407\) | −0.632817 | + | 1.09607i | −0.0313676 | + | 0.0543302i | ||||
\(408\) | −1.03745 | + | 0.870524i | −0.0513614 | + | 0.0430973i | ||||
\(409\) | −3.28189 | + | 2.75383i | −0.162279 | + | 0.136168i | −0.720311 | − | 0.693651i | \(-0.756001\pi\) |
0.558032 | + | 0.829819i | \(0.311557\pi\) | |||||||
\(410\) | 14.7151 | − | 25.4874i | 0.726729 | − | 1.25873i | ||||
\(411\) | 1.59602 | + | 2.76439i | 0.0787260 | + | 0.136357i | ||||
\(412\) | 11.5823 | + | 4.21561i | 0.570619 | + | 0.207688i | ||||
\(413\) | 0.502370 | − | 2.84908i | 0.0247200 | − | 0.140194i | ||||
\(414\) | −0.683086 | − | 3.87398i | −0.0335719 | − | 0.190396i | ||||
\(415\) | 15.2458 | − | 5.54901i | 0.748386 | − | 0.272390i | ||||
\(416\) | −3.79486 | − | 3.18426i | −0.186058 | − | 0.156121i | ||||
\(417\) | 0.670512 | 0.0328351 | ||||||||
\(418\) | 4.35834 | + | 0.0700172i | 0.213173 | + | 0.00342465i | ||||
\(419\) | 15.3658 | 0.750668 | 0.375334 | − | 0.926890i | \(-0.377528\pi\) | ||||
0.375334 | + | 0.926890i | \(0.377528\pi\) | |||||||
\(420\) | 2.57974 | + | 2.16466i | 0.125878 | + | 0.105624i | ||||
\(421\) | −17.2959 | + | 6.29518i | −0.842949 | + | 0.306809i | −0.727162 | − | 0.686466i | \(-0.759161\pi\) |
−0.115787 | + | 0.993274i | \(0.536939\pi\) | |||||||
\(422\) | 1.19595 | + | 6.78254i | 0.0582177 | + | 0.330169i | ||||
\(423\) | −5.15501 | + | 29.2355i | −0.250645 | + | 1.42148i | ||||
\(424\) | −5.19417 | − | 1.89052i | −0.252251 | − | 0.0918118i | ||||
\(425\) | −28.3740 | − | 49.1452i | −1.37634 | − | 2.38389i | ||||
\(426\) | 1.38258 | − | 2.39469i | 0.0669860 | − | 0.116023i | ||||
\(427\) | −11.8772 | + | 9.96612i | −0.574776 | + | 0.482294i | ||||
\(428\) | −2.84365 | + | 2.38611i | −0.137453 | + | 0.115337i | ||||
\(429\) | −0.806202 | + | 1.39638i | −0.0389238 | + | 0.0674180i | ||||
\(430\) | 13.1056 | + | 22.6995i | 0.632007 | + | 1.09467i | ||||
\(431\) | 20.5138 | + | 7.46641i | 0.988115 | + | 0.359644i | 0.784990 | − | 0.619508i | \(-0.212668\pi\) |
0.203125 | + | 0.979153i | \(0.434890\pi\) | |||||||
\(432\) | −0.333133 | + | 1.88929i | −0.0160279 | + | 0.0908985i | ||||
\(433\) | −1.60034 | − | 9.07598i | −0.0769075 | − | 0.436164i | −0.998811 | − | 0.0487450i | \(-0.984478\pi\) |
0.921904 | − | 0.387419i | \(-0.126633\pi\) | |||||||
\(434\) | 15.8128 | − | 5.75538i | 0.759038 | − | 0.276267i | ||||
\(435\) | −9.72117 | − | 8.15703i | −0.466095 | − | 0.391100i | ||||
\(436\) | −11.4211 | −0.546974 | ||||||||
\(437\) | 1.12243 | − | 5.81753i | 0.0536929 | − | 0.278290i | ||||
\(438\) | 2.09044 | 0.0998850 | ||||||||
\(439\) | 4.13458 | + | 3.46932i | 0.197333 | + | 0.165582i | 0.736100 | − | 0.676873i | \(-0.236665\pi\) |
−0.538767 | + | 0.842455i | \(0.681110\pi\) | |||||||
\(440\) | 4.05688 | − | 1.47659i | 0.193404 | − | 0.0703934i | ||||
\(441\) | 0.631531 | + | 3.58159i | 0.0300729 | + | 0.170552i | ||||
\(442\) | −3.57925 | + | 20.2989i | −0.170248 | + | 0.965522i | ||||
\(443\) | 21.9117 | + | 7.97520i | 1.04106 | + | 0.378913i | 0.805280 | − | 0.592894i | \(-0.202015\pi\) |
0.235775 | + | 0.971808i | \(0.424237\pi\) | |||||||
\(444\) | −0.205973 | − | 0.356756i | −0.00977506 | − | 0.0169309i | ||||
\(445\) | 23.3461 | − | 40.4367i | 1.10671 | − | 1.91688i | ||||
\(446\) | 10.7014 | − | 8.97953i | 0.506725 | − | 0.425193i | ||||
\(447\) | 0.560293 | − | 0.470142i | 0.0265010 | − | 0.0222369i | ||||
\(448\) | −1.19826 | + | 2.07545i | −0.0566126 | + | 0.0980559i | ||||
\(449\) | 11.0017 | + | 19.0555i | 0.519201 | + | 0.899283i | 0.999751 | + | 0.0223152i | \(0.00710374\pi\) |
−0.480550 | + | 0.876967i | \(0.659563\pi\) | |||||||
\(450\) | −37.0906 | − | 13.4999i | −1.74847 | − | 0.636390i | ||||
\(451\) | 1.18374 | − | 6.71335i | 0.0557404 | − | 0.316119i | ||||
\(452\) | 1.95465 | + | 11.0854i | 0.0919392 | + | 0.521413i | ||||
\(453\) | −0.122629 | + | 0.0446332i | −0.00576160 | + | 0.00209705i | ||||
\(454\) | −0.951748 | − | 0.798611i | −0.0446677 | − | 0.0374807i | ||||
\(455\) | 51.2543 | 2.40284 | ||||||||
\(456\) | −0.729026 | + | 1.21713i | −0.0341398 | + | 0.0569973i | ||||
\(457\) | 9.65301 | 0.451549 | 0.225774 | − | 0.974180i | \(-0.427509\pi\) | ||||
0.225774 | + | 0.974180i | \(0.427509\pi\) | |||||||
\(458\) | −1.78856 | − | 1.50078i | −0.0835740 | − | 0.0701269i | ||||
\(459\) | 7.50090 | − | 2.73010i | 0.350112 | − | 0.127430i | ||||
\(460\) | −1.01900 | − | 5.77905i | −0.0475112 | − | 0.269450i | ||||
\(461\) | 2.72935 | − | 15.4789i | 0.127119 | − | 0.720926i | −0.852908 | − | 0.522061i | \(-0.825163\pi\) |
0.980027 | − | 0.198865i | \(-0.0637255\pi\) | |||||||
\(462\) | 0.732995 | + | 0.266788i | 0.0341020 | + | 0.0124121i | ||||
\(463\) | 10.5481 | + | 18.2698i | 0.490211 | + | 0.849070i | 0.999937 | − | 0.0112669i | \(-0.00358644\pi\) |
−0.509726 | + | 0.860337i | \(0.670253\pi\) | |||||||
\(464\) | 4.51539 | − | 7.82089i | 0.209622 | − | 0.363075i | ||||
\(465\) | 7.55846 | − | 6.34230i | 0.350515 | − | 0.294117i | ||||
\(466\) | 6.31510 | − | 5.29900i | 0.292541 | − | 0.245471i | ||||
\(467\) | 2.72113 | − | 4.71313i | 0.125919 | − | 0.218098i | −0.796173 | − | 0.605069i | \(-0.793145\pi\) |
0.922092 | + | 0.386972i | \(0.126479\pi\) | |||||||
\(468\) | 7.16834 | + | 12.4159i | 0.331357 | + | 0.573927i | ||||
\(469\) | 26.6562 | + | 9.70207i | 1.23087 | + | 0.448000i | ||||
\(470\) | −7.69005 | + | 43.6125i | −0.354716 | + | 2.01169i | ||||
\(471\) | 0.460325 | + | 2.61063i | 0.0212107 | + | 0.120292i | ||||
\(472\) | 1.13438 | − | 0.412879i | 0.0522139 | − | 0.0190043i | ||||
\(473\) | 4.65086 | + | 3.90254i | 0.213847 | + | 0.179439i | ||||
\(474\) | 3.44659 | 0.158307 | ||||||||
\(475\) | −44.9212 | − | 38.9399i | −2.06112 | − | 1.78669i | ||||
\(476\) | 9.97155 | 0.457045 | ||||||||
\(477\) | 12.2544 | + | 10.2826i | 0.561089 | + | 0.470810i | ||||
\(478\) | −25.2236 | + | 9.18066i | −1.15370 | + | 0.419913i | ||||
\(479\) | 5.47927 | + | 31.0745i | 0.250354 | + | 1.41983i | 0.807722 | + | 0.589563i | \(0.200700\pi\) |
−0.557368 | + | 0.830266i | \(0.688189\pi\) | |||||||
\(480\) | −0.244011 | + | 1.38386i | −0.0111375 | + | 0.0631641i | ||||
\(481\) | −5.89163 | − | 2.14438i | −0.268635 | − | 0.0977752i | ||||
\(482\) | 4.83430 | + | 8.37326i | 0.220197 | + | 0.381392i | ||||
\(483\) | 0.530131 | − | 0.918213i | 0.0241218 | − | 0.0417802i | ||||
\(484\) | 0.766044 | − | 0.642788i | 0.0348202 | − | 0.0292176i | ||||
\(485\) | −15.5611 | + | 13.0573i | −0.706593 | + | 0.592902i | ||||
\(486\) | 4.18900 | − | 7.25555i | 0.190017 | − | 0.329119i | ||||
\(487\) | −0.328430 | − | 0.568857i | −0.0148826 | − | 0.0257774i | 0.858488 | − | 0.512833i | \(-0.171404\pi\) |
−0.873371 | + | 0.487056i | \(0.838071\pi\) | |||||||
\(488\) | −6.07942 | − | 2.21273i | −0.275202 | − | 0.100165i | ||||
\(489\) | −1.10144 | + | 6.24657i | −0.0498088 | + | 0.282480i | ||||
\(490\) | 0.942094 | + | 5.34288i | 0.0425595 | + | 0.241367i | ||||
\(491\) | −22.0056 | + | 8.00940i | −0.993101 | + | 0.361459i | −0.786920 | − | 0.617055i | \(-0.788326\pi\) |
−0.206181 | + | 0.978514i | \(0.566103\pi\) | |||||||
\(492\) | 1.69971 | + | 1.42622i | 0.0766288 | + | 0.0642992i | ||||
\(493\) | −37.5756 | −1.69232 | ||||||||
\(494\) | 3.40756 | + | 21.3227i | 0.153313 | + | 0.959353i | ||||
\(495\) | −12.4944 | −0.561580 | ||||||||
\(496\) | 5.37891 | + | 4.51344i | 0.241520 | + | 0.202659i | ||||
\(497\) | −19.1317 | + | 6.96339i | −0.858176 | + | 0.312351i | ||||
\(498\) | 0.212403 | + | 1.20460i | 0.00951799 | + | 0.0539792i | ||||
\(499\) | −0.0345393 | + | 0.195882i | −0.00154619 | + | 0.00876889i | −0.985571 | − | 0.169262i | \(-0.945862\pi\) |
0.984025 | + | 0.178031i | \(0.0569727\pi\) | |||||||
\(500\) | −35.0459 | − | 12.7557i | −1.56730 | − | 0.570450i | ||||
\(501\) | −1.89687 | − | 3.28547i | −0.0847458 | − | 0.146784i | ||||
\(502\) | 3.45901 | − | 5.99118i | 0.154383 | − | 0.267400i | ||||
\(503\) | −8.73114 | + | 7.32630i | −0.389302 | + | 0.326663i | −0.816341 | − | 0.577570i | \(-0.804001\pi\) |
0.427039 | + | 0.904233i | \(0.359557\pi\) | |||||||
\(504\) | 5.31305 | − | 4.45818i | 0.236662 | − | 0.198583i | ||||
\(505\) | −29.4716 | + | 51.0463i | −1.31147 | + | 2.27153i | ||||
\(506\) | −0.679623 | − | 1.17714i | −0.0302129 | − | 0.0523303i | ||||
\(507\) | −3.52973 | − | 1.28472i | −0.156761 | − | 0.0570563i | ||||
\(508\) | 1.53895 | − | 8.72783i | 0.0682800 | − | 0.387235i | ||||
\(509\) | 6.05044 | + | 34.3137i | 0.268181 | + | 1.52093i | 0.759821 | + | 0.650132i | \(0.225286\pi\) |
−0.491640 | + | 0.870798i | \(0.663603\pi\) | |||||||
\(510\) | 5.49422 | − | 1.99973i | 0.243288 | − | 0.0885496i | ||||
\(511\) | −11.7907 | − | 9.89360i | −0.521591 | − | 0.437667i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 6.49138 | − | 5.27157i | 0.286601 | − | 0.232745i | ||||
\(514\) | 3.08336 | 0.136001 | ||||||||
\(515\) | −40.7633 | − | 34.2045i | −1.79625 | − | 1.50723i | ||||
\(516\) | −1.85694 | + | 0.675871i | −0.0817472 | + | 0.0297536i | ||||
\(517\) | 1.78124 | + | 10.1019i | 0.0783389 | + | 0.444282i | ||||
\(518\) | −0.526697 | + | 2.98705i | −0.0231417 | + | 0.131243i | ||||
\(519\) | −3.21909 | − | 1.17165i | −0.141303 | − | 0.0514299i | ||||
\(520\) | 10.6935 | + | 18.5216i | 0.468939 | + | 0.812226i | ||||
\(521\) | 3.69593 | − | 6.40154i | 0.161922 | − | 0.280457i | −0.773636 | − | 0.633630i | \(-0.781564\pi\) |
0.935558 | + | 0.353173i | \(0.114897\pi\) | |||||||
\(522\) | −20.0210 | + | 16.7996i | −0.876297 | + | 0.735301i | ||||
\(523\) | −2.05890 | + | 1.72763i | −0.0900296 | + | 0.0755438i | −0.686692 | − | 0.726949i | \(-0.740938\pi\) |
0.596662 | + | 0.802493i | \(0.296493\pi\) | |||||||
\(524\) | −7.46624 | + | 12.9319i | −0.326164 | + | 0.564933i | ||||
\(525\) | −5.31931 | − | 9.21332i | −0.232154 | − | 0.402102i | ||||
\(526\) | −24.6400 | − | 8.96824i | −1.07436 | − | 0.391034i | ||||
\(527\) | 5.07330 | − | 28.7721i | 0.220997 | − | 1.25333i | ||||
\(528\) | 0.0565201 | + | 0.320541i | 0.00245972 | + | 0.0139498i | ||||
\(529\) | 19.8768 | − | 7.23456i | 0.864209 | − | 0.314546i | ||||
\(530\) | 18.2806 | + | 15.3393i | 0.794059 | + | 0.666295i | ||||
\(531\) | −3.49365 | −0.151611 | ||||||||
\(532\) | 9.87236 | − | 3.41468i | 0.428021 | − | 0.148045i | ||||
\(533\) | 33.7698 | 1.46273 | ||||||||
\(534\) | 2.69665 | + | 2.26276i | 0.116695 | + | 0.0979191i | ||||
\(535\) | 15.0597 | − | 5.48127i | 0.651086 | − | 0.236976i | ||||
\(536\) | 2.05542 | + | 11.6569i | 0.0887806 | + | 0.503500i | ||||
\(537\) | −0.691509 | + | 3.92174i | −0.0298408 | + | 0.169236i | ||||
\(538\) | 21.8767 | + | 7.96246i | 0.943171 | + | 0.343286i | ||||
\(539\) | 0.628329 | + | 1.08830i | 0.0270641 | + | 0.0468763i | ||||
\(540\) | 4.14118 | − | 7.17273i | 0.178208 | − | 0.308665i | ||||
\(541\) | −31.3470 | + | 26.3033i | −1.34771 | + | 1.13087i | −0.368143 | + | 0.929769i | \(0.620006\pi\) |
−0.979571 | + | 0.201098i | \(0.935549\pi\) | |||||||
\(542\) | −14.0040 | + | 11.7508i | −0.601524 | + | 0.504738i | ||||
\(543\) | −2.64813 | + | 4.58669i | −0.113642 | + | 0.196834i | ||||
\(544\) | 2.08042 | + | 3.60339i | 0.0891972 | + | 0.154494i | ||||
\(545\) | 46.3343 | + | 16.8643i | 1.98474 | + | 0.722387i | ||||
\(546\) | −0.671006 | + | 3.80546i | −0.0287164 | + | 0.162859i | ||||
\(547\) | −1.84775 | − | 10.4791i | −0.0790040 | − | 0.448054i | −0.998490 | − | 0.0549315i | \(-0.982506\pi\) |
0.919486 | − | 0.393122i | \(-0.128605\pi\) | |||||||
\(548\) | 9.21558 | − | 3.35420i | 0.393670 | − | 0.143284i | ||||
\(549\) | 14.3429 | + | 12.0351i | 0.612141 | + | 0.513647i | ||||
\(550\) | −13.6386 | −0.581553 | ||||||||
\(551\) | −37.2018 | + | 12.8675i | −1.58485 | + | 0.548172i | ||||
\(552\) | 0.442416 | 0.0188305 | ||||||||
\(553\) | −19.4399 | − | 16.3120i | −0.826668 | − | 0.693657i | ||||
\(554\) | −1.42948 | + | 0.520289i | −0.0607328 | + | 0.0221049i | ||||
\(555\) | 0.308829 | + | 1.75146i | 0.0131091 | + | 0.0743452i | ||||
\(556\) | 0.357721 | − | 2.02873i | 0.0151707 | − | 0.0860375i | ||||
\(557\) | 11.1012 | + | 4.04051i | 0.470374 | + | 0.171202i | 0.566322 | − | 0.824184i | \(-0.308366\pi\) |
−0.0959479 | + | 0.995386i | \(0.530588\pi\) | |||||||
\(558\) | −10.1606 | − | 17.5986i | −0.430131 | − | 0.745008i | ||||
\(559\) | −15.0380 | + | 26.0466i | −0.636041 | + | 1.10165i | ||||
\(560\) | 7.92580 | − | 6.65054i | 0.334926 | − | 0.281036i | ||||
\(561\) | 1.03745 | − | 0.870524i | 0.0438012 | − | 0.0367535i | ||||
\(562\) | 7.59634 | − | 13.1573i | 0.320432 | − | 0.555005i | ||||
\(563\) | −9.17750 | − | 15.8959i | −0.386785 | − | 0.669932i | 0.605230 | − | 0.796051i | \(-0.293081\pi\) |
−0.992015 | + | 0.126119i | \(0.959748\pi\) | |||||||
\(564\) | −3.13741 | − | 1.14192i | −0.132109 | − | 0.0480836i | ||||
\(565\) | 8.43872 | − | 47.8584i | 0.355020 | − | 2.01342i | ||||
\(566\) | 1.86261 | + | 10.5634i | 0.0782913 | + | 0.444012i | ||||
\(567\) | −18.1460 | + | 6.60462i | −0.762062 | + | 0.277368i | ||||
\(568\) | −6.50789 | − | 5.46077i | −0.273065 | − | 0.229129i | ||||
\(569\) | 35.7955 | 1.50063 | 0.750313 | − | 0.661083i | \(-0.229903\pi\) | ||||
0.750313 | + | 0.661083i | \(0.229903\pi\) | |||||||
\(570\) | 4.75477 | − | 3.86129i | 0.199155 | − | 0.161732i | ||||
\(571\) | −31.3480 | −1.31187 | −0.655937 | − | 0.754815i | \(-0.727726\pi\) | ||||
−0.655937 | + | 0.754815i | \(0.727726\pi\) | |||||||
\(572\) | 3.79486 | + | 3.18426i | 0.158671 | + | 0.133141i | ||||
\(573\) | 7.84060 | − | 2.85374i | 0.327546 | − | 0.119217i | ||||
\(574\) | −2.83688 | − | 16.0887i | −0.118409 | − | 0.671530i | ||||
\(575\) | −3.21913 | + | 18.2566i | −0.134247 | + | 0.761353i | ||||
\(576\) | 2.71953 | + | 0.989826i | 0.113314 | + | 0.0412428i | ||||
\(577\) | 14.1501 | + | 24.5088i | 0.589078 | + | 1.02031i | 0.994353 | + | 0.106119i | \(0.0338424\pi\) |
−0.405275 | + | 0.914195i | \(0.632824\pi\) | |||||||
\(578\) | 0.156275 | − | 0.270676i | 0.00650017 | − | 0.0112586i | ||||
\(579\) | 3.67124 | − | 3.08053i | 0.152571 | − | 0.128023i | ||||
\(580\) | −29.8666 | + | 25.0611i | −1.24014 | + | 1.04060i | ||||
\(581\) | 4.50308 | − | 7.79956i | 0.186819 | − | 0.323580i | ||||
\(582\) | −0.765741 | − | 1.32630i | −0.0317410 | − | 0.0549770i | ||||
\(583\) | 5.19417 | + | 1.89052i | 0.215120 | + | 0.0782974i | ||||
\(584\) | 1.11526 | − | 6.32494i | 0.0461497 | − | 0.261728i | ||||
\(585\) | −10.7480 | − | 60.9547i | −0.444373 | − | 2.52017i | ||||
\(586\) | 9.04741 | − | 3.29299i | 0.373745 | − | 0.136032i | ||||
\(587\) | 2.37629 | + | 1.99394i | 0.0980798 | + | 0.0822988i | 0.690509 | − | 0.723324i | \(-0.257387\pi\) |
−0.592429 | + | 0.805623i | \(0.701831\pi\) | |||||||
\(588\) | −0.409025 | −0.0168679 | ||||||||
\(589\) | −4.82995 | − | 30.2232i | −0.199015 | − | 1.24533i | ||||
\(590\) | −5.21169 | −0.214562 | ||||||||
\(591\) | 0.0995464 | + | 0.0835294i | 0.00409479 | + | 0.00343594i | ||||
\(592\) | −1.18931 | + | 0.432872i | −0.0488802 | + | 0.0177909i | ||||
\(593\) | −3.54385 | − | 20.0982i | −0.145529 | − | 0.825334i | −0.966941 | − | 0.254999i | \(-0.917925\pi\) |
0.821413 | − | 0.570334i | \(-0.193186\pi\) | |||||||
\(594\) | 0.333133 | − | 1.88929i | 0.0136686 | − | 0.0775185i | ||||
\(595\) | −40.4534 | − | 14.7238i | −1.65843 | − | 0.603619i | ||||
\(596\) | −1.12357 | − | 1.94607i | −0.0460231 | − | 0.0797143i | ||||
\(597\) | 0.438208 | − | 0.758999i | 0.0179347 | − | 0.0310638i | ||||
\(598\) | 5.15814 | − | 4.32820i | 0.210932 | − | 0.176993i | ||||
\(599\) | 25.7287 | − | 21.5889i | 1.05125 | − | 0.882100i | 0.0580222 | − | 0.998315i | \(-0.481521\pi\) |
0.993224 | + | 0.116215i | \(0.0370761\pi\) | |||||||
\(600\) | 2.21959 | − | 3.84444i | 0.0906144 | − | 0.156949i | ||||
\(601\) | −6.08201 | − | 10.5343i | −0.248090 | − | 0.429705i | 0.714906 | − | 0.699221i | \(-0.246470\pi\) |
−0.962996 | + | 0.269516i | \(0.913136\pi\) | |||||||
\(602\) | 13.6725 | + | 4.97638i | 0.557249 | + | 0.202822i | ||||
\(603\) | 5.94851 | − | 33.7357i | 0.242242 | − | 1.37382i | ||||
\(604\) | 0.0696216 | + | 0.394844i | 0.00283286 | + | 0.0160660i | ||||
\(605\) | −4.05688 | + | 1.47659i | −0.164936 | + | 0.0600317i | ||||
\(606\) | −3.40419 | − | 2.85645i | −0.138286 | − | 0.116036i | ||||
\(607\) | −7.97995 | −0.323896 | −0.161948 | − | 0.986799i | \(-0.551778\pi\) | ||||
−0.161948 | + | 0.986799i | \(0.551778\pi\) | |||||||
\(608\) | 3.29367 | + | 2.85512i | 0.133576 | + | 0.115790i | ||||
\(609\) | −7.04434 | −0.285451 | ||||||||
\(610\) | 21.3962 | + | 17.9536i | 0.866308 | + | 0.726919i | ||||
\(611\) | −47.7507 | + | 17.3798i | −1.93179 | + | 0.703112i | ||||
\(612\) | −2.09102 | − | 11.8588i | −0.0845245 | − | 0.479362i | ||||
\(613\) | 0.199063 | − | 1.12894i | 0.00804009 | − | 0.0455976i | −0.980524 | − | 0.196400i | \(-0.937075\pi\) |
0.988564 | + | 0.150803i | \(0.0481859\pi\) | |||||||
\(614\) | −25.5630 | − | 9.30417i | −1.03164 | − | 0.375486i | ||||
\(615\) | −4.78958 | − | 8.29579i | −0.193134 | − | 0.334519i | ||||
\(616\) | 1.19826 | − | 2.07545i | 0.0482794 | − | 0.0836224i | ||||
\(617\) | 34.4432 | − | 28.9013i | 1.38663 | − | 1.16352i | 0.419947 | − | 0.907549i | \(-0.362049\pi\) |
0.966684 | − | 0.255973i | \(-0.0823958\pi\) | |||||||
\(618\) | 3.07323 | − | 2.57875i | 0.123624 | − | 0.103733i | ||||
\(619\) | 5.90044 | − | 10.2199i | 0.237159 | − | 0.410771i | −0.722739 | − | 0.691121i | \(-0.757117\pi\) |
0.959898 | + | 0.280350i | \(0.0904505\pi\) | |||||||
\(620\) | −15.1571 | − | 26.2529i | −0.608725 | − | 1.05434i | ||||
\(621\) | −2.45037 | − | 0.891860i | −0.0983298 | − | 0.0357891i | ||||
\(622\) | 3.56115 | − | 20.1963i | 0.142789 | − | 0.809796i | ||||
\(623\) | −4.50081 | − | 25.5253i | −0.180321 | − | 1.02265i | ||||
\(624\) | −1.51516 | + | 0.551475i | −0.0606551 | + | 0.0220767i | ||||
\(625\) | 71.1033 | + | 59.6628i | 2.84413 | + | 2.38651i | ||||
\(626\) | −8.96812 | −0.358438 | ||||||||
\(627\) | 0.729026 | − | 1.21713i | 0.0291145 | − | 0.0486075i | ||||
\(628\) | 8.14445 | 0.324999 | ||||||||
\(629\) | 4.03406 | + | 3.38498i | 0.160849 | + | 0.134968i | ||||
\(630\) | −28.1373 | + | 10.2411i | −1.12102 | + | 0.408017i | ||||
\(631\) | 7.69293 | + | 43.6288i | 0.306251 | + | 1.73683i | 0.617558 | + | 0.786525i | \(0.288122\pi\) |
−0.311308 | + | 0.950309i | \(0.600767\pi\) | |||||||
\(632\) | 1.83877 | − | 10.4282i | 0.0731424 | − | 0.414811i | ||||
\(633\) | 2.10649 | + | 0.766700i | 0.0837255 | + | 0.0304736i | ||||
\(634\) | −3.51902 | − | 6.09511i | −0.139758 | − | 0.242068i | ||||
\(635\) | −19.1307 | + | 33.1354i | −0.759180 | + | 1.31494i | ||||
\(636\) | −1.37821 | + | 1.15646i | −0.0546497 | + | 0.0458566i | ||||
\(637\) | −4.76884 | + | 4.00153i | −0.188948 | + | 0.158546i | ||||
\(638\) | −4.51539 | + | 7.82089i | −0.178766 | + | 0.309632i | ||||
\(639\) | 12.2932 | + | 21.2924i | 0.486310 | + | 0.842314i | ||||
\(640\) | 4.05688 | + | 1.47659i | 0.160362 | + | 0.0583672i | ||||
\(641\) | 2.14040 | − | 12.1388i | 0.0845408 | − | 0.479454i | −0.912914 | − | 0.408152i | \(-0.866173\pi\) |
0.997455 | − | 0.0713025i | \(-0.0227156\pi\) | |||||||
\(642\) | 0.209810 | + | 1.18989i | 0.00828053 | + | 0.0469612i | ||||
\(643\) | −32.3849 | + | 11.7871i | −1.27713 | + | 0.464839i | −0.889483 | − | 0.456968i | \(-0.848936\pi\) |
−0.387651 | + | 0.921806i | \(0.626713\pi\) | |||||||
\(644\) | −2.49537 | − | 2.09386i | −0.0983312 | − | 0.0825097i | ||||
\(645\) | 8.53137 | 0.335923 | ||||||||
\(646\) | 3.43590 | − | 17.8082i | 0.135184 | − | 0.700655i | ||||
\(647\) | −10.5506 | −0.414788 | −0.207394 | − | 0.978258i | \(-0.566498\pi\) | ||||
−0.207394 | + | 0.978258i | \(0.566498\pi\) | |||||||
\(648\) | −6.17260 | − | 5.17942i | −0.242482 | − | 0.203467i | ||||
\(649\) | −1.13438 | + | 0.412879i | −0.0445282 | + | 0.0162069i | ||||
\(650\) | −11.7323 | − | 66.5370i | −0.460177 | − | 2.60980i | ||||
\(651\) | 0.951098 | − | 5.39394i | 0.0372765 | − | 0.211405i | ||||
\(652\) | 18.3123 | + | 6.66514i | 0.717166 | + | 0.261027i | ||||
\(653\) | −15.8936 | − | 27.5285i | −0.621964 | − | 1.07727i | −0.989120 | − | 0.147114i | \(-0.953002\pi\) |
0.367155 | − | 0.930160i | \(-0.380332\pi\) | |||||||
\(654\) | −1.85871 | + | 3.21938i | −0.0726814 | + | 0.125888i | ||||
\(655\) | 49.3847 | − | 41.4387i | 1.92962 | − | 1.61914i | ||||
\(656\) | 5.22206 | − | 4.38183i | 0.203887 | − | 0.171082i | ||||
\(657\) | −9.29356 | + | 16.0969i | −0.362576 | + | 0.628000i | ||||
\(658\) | 12.2915 | + | 21.2895i | 0.479172 | + | 0.829951i | ||||
\(659\) | −3.30554 | − | 1.20312i | −0.128766 | − | 0.0468669i | 0.276834 | − | 0.960918i | \(-0.410715\pi\) |
−0.405599 | + | 0.914051i | \(0.632937\pi\) | |||||||
\(660\) | 0.244011 | − | 1.38386i | 0.00949812 | − | 0.0538665i | ||||
\(661\) | 3.10356 | + | 17.6012i | 0.120715 | + | 0.684607i | 0.983761 | + | 0.179482i | \(0.0574423\pi\) |
−0.863047 | + | 0.505124i | \(0.831447\pi\) | |||||||
\(662\) | 3.50609 | − | 1.27611i | 0.136268 | − | 0.0495975i | ||||
\(663\) | 5.13935 | + | 4.31243i | 0.199596 | + | 0.167481i | ||||
\(664\) | 3.75800 | 0.145839 | ||||||||
\(665\) | −45.0931 | − | 0.724425i | −1.74863 | − | 0.0280920i | ||||
\(666\) | 3.66282 | 0.141931 | ||||||||
\(667\) | 9.40324 | + | 7.89025i | 0.364095 | + | 0.305512i | ||||
\(668\) | −10.9527 | + | 3.98645i | −0.423772 | + | 0.154240i | ||||
\(669\) | −0.789567 | − | 4.47786i | −0.0305264 | − | 0.173124i | ||||
\(670\) | 8.87376 | − | 50.3256i | 0.342823 | − | 1.94425i | ||||
\(671\) | 6.07942 | + | 2.21273i | 0.234693 | + | 0.0854214i | ||||
\(672\) | 0.390018 | + | 0.675531i | 0.0150453 | + | 0.0260592i | ||||
\(673\) | −8.85580 | + | 15.3387i | −0.341366 | + | 0.591263i | −0.984687 | − | 0.174334i | \(-0.944223\pi\) |
0.643321 | + | 0.765597i | \(0.277556\pi\) | |||||||
\(674\) | −7.64557 | + | 6.41539i | −0.294496 | + | 0.247112i | ||||
\(675\) | −20.0434 | + | 16.8184i | −0.771471 | + | 0.647341i | ||||
\(676\) | −5.77023 | + | 9.99433i | −0.221932 | + | 0.384397i | ||||
\(677\) | −13.3030 | − | 23.0415i | −0.511276 | − | 0.885555i | −0.999915 | − | 0.0130692i | \(-0.995840\pi\) |
0.488639 | − | 0.872486i | \(-0.337493\pi\) | |||||||
\(678\) | 3.44285 | + | 1.25309i | 0.132222 | + | 0.0481248i | ||||
\(679\) | −1.95809 | + | 11.1049i | −0.0751445 | + | 0.426166i | ||||
\(680\) | −3.11930 | − | 17.6904i | −0.119620 | − | 0.678398i | ||||
\(681\) | −0.380002 | + | 0.138310i | −0.0145617 | + | 0.00530003i | ||||
\(682\) | −5.37891 | − | 4.51344i | −0.205969 | − | 0.172828i | ||||
\(683\) | 39.5428 | 1.51306 | 0.756531 | − | 0.653958i | \(-0.226893\pi\) | ||||
0.756531 | + | 0.653958i | \(0.226893\pi\) | |||||||
\(684\) | −6.13115 | − | 11.0247i | −0.234431 | − | 0.421541i | ||||
\(685\) | −42.3393 | −1.61770 | ||||||||
\(686\) | 15.1580 | + | 12.7190i | 0.578733 | + | 0.485615i | ||||
\(687\) | −0.714115 | + | 0.259917i | −0.0272452 | + | 0.00991644i | ||||
\(688\) | 1.05426 | + | 5.97903i | 0.0401935 | + | 0.227949i | ||||
\(689\) | −4.75490 | + | 26.9664i | −0.181147 | + | 1.02734i | ||||
\(690\) | −1.79483 | − | 0.653265i | −0.0683280 | − | 0.0248694i | ||||
\(691\) | −6.21240 | − | 10.7602i | −0.236331 | − | 0.409337i | 0.723328 | − | 0.690505i | \(-0.242612\pi\) |
−0.959659 | + | 0.281168i | \(0.909278\pi\) | |||||||
\(692\) | −5.26242 | + | 9.11477i | −0.200047 | + | 0.346492i | ||||
\(693\) | −5.31305 | + | 4.45818i | −0.201826 | + | 0.169352i | ||||
\(694\) | 2.72280 | − | 2.28470i | 0.103356 | − | 0.0867262i | ||||
\(695\) | −4.44683 | + | 7.70214i | −0.168678 | + | 0.292159i | ||||
\(696\) | −1.46970 | − | 2.54559i | −0.0557087 | − | 0.0964904i | ||||
\(697\) | −26.6535 | − | 9.70108i | −1.00957 | − | 0.367455i | ||||
\(698\) | −3.65024 | + | 20.7015i | −0.138164 | + | 0.783565i | ||||
\(699\) | −0.465939 | − | 2.64247i | −0.0176234 | − | 0.0999475i | ||||
\(700\) | −30.7142 | + | 11.1790i | −1.16089 | + | 0.422528i | ||||
\(701\) | −8.77645 | − | 7.36431i | −0.331482 | − | 0.278146i | 0.461822 | − | 0.886973i | \(-0.347196\pi\) |
−0.793303 | + | 0.608827i | \(0.791641\pi\) | |||||||
\(702\) | 9.50360 | 0.358690 | ||||||||
\(703\) | 5.15309 | + | 1.96988i | 0.194353 | + | 0.0742953i | ||||
\(704\) | 1.00000 | 0.0376889 | ||||||||
\(705\) | 11.0419 | + | 9.26530i | 0.415864 | + | 0.348951i | ||||
\(706\) | −9.34925 | + | 3.40285i | −0.351864 | + | 0.128068i | ||||
\(707\) | 5.68172 | + | 32.2226i | 0.213683 | + | 1.21186i | ||||
\(708\) | 0.0682298 | − | 0.386951i | 0.00256423 | − | 0.0145425i | ||||
\(709\) | 44.6796 | + | 16.2620i | 1.67798 | + | 0.610733i | 0.993030 | − | 0.117861i | \(-0.0376036\pi\) |
0.684946 | + | 0.728594i | \(0.259826\pi\) | |||||||
\(710\) | 18.3385 | + | 31.7632i | 0.688231 | + | 1.19205i | ||||
\(711\) | −15.3227 | + | 26.5397i | −0.574645 | + | 0.995315i | ||||
\(712\) | 8.28499 | − | 6.95193i | 0.310493 | − | 0.260535i | ||||
\(713\) | −7.31126 | + | 6.13487i | −0.273809 | + | 0.229753i | ||||
\(714\) | 1.62280 | − | 2.81077i | 0.0607318 | − | 0.105191i | ||||
\(715\) | −10.6935 | − | 18.5216i | −0.399913 | − | 0.692669i | ||||
\(716\) | 11.4969 | + | 4.18453i | 0.429659 | + | 0.156383i | ||||
\(717\) | −1.51714 | + | 8.60411i | −0.0566585 | + | 0.321326i | ||||
\(718\) | −4.45693 | − | 25.2765i | −0.166331 | − | 0.943311i | ||||
\(719\) | −32.1919 | + | 11.7169i | −1.20055 | + | 0.436966i | −0.863418 | − | 0.504490i | \(-0.831681\pi\) |
−0.337137 | + | 0.941456i | \(0.609458\pi\) | |||||||
\(720\) | −9.57124 | − | 8.03122i | −0.356699 | − | 0.299306i | ||||
\(721\) | −29.5387 | −1.10008 | ||||||||
\(722\) | −2.69657 | − | 18.8077i | −0.100356 | − | 0.699949i | ||||
\(723\) | 3.14700 | 0.117038 | ||||||||
\(724\) | 12.4649 | + | 10.4593i | 0.463255 | + | 0.388718i | ||||
\(725\) | 115.739 | − | 42.1257i | 4.29846 | − | 1.56451i | ||||
\(726\) | −0.0565201 | − | 0.320541i | −0.00209766 | − | 0.0118964i | ||||
\(727\) | −4.41280 | + | 25.0262i | −0.163662 | + | 0.928171i | 0.786772 | + | 0.617244i | \(0.211751\pi\) |
−0.950434 | + | 0.310928i | \(0.899360\pi\) | |||||||
\(728\) | 11.1560 | + | 4.06046i | 0.413470 | + | 0.150491i | ||||
\(729\) | 10.7232 | + | 18.5731i | 0.397154 | + | 0.687892i | ||||
\(730\) | −13.8638 | + | 24.0128i | −0.513121 | + | 0.888752i | ||||
\(731\) | 19.3515 | − | 16.2378i | 0.715740 | − | 0.600577i | ||||
\(732\) | −1.61311 | + | 1.35356i | −0.0596221 | + | 0.0500289i | ||||
\(733\) | −16.6450 | + | 28.8299i | −0.614796 | + | 1.06486i | 0.375624 | + | 0.926772i | \(0.377428\pi\) |
−0.990420 | + | 0.138086i | \(0.955905\pi\) | |||||||
\(734\) | −5.53986 | − | 9.59531i | −0.204480 | − | 0.354170i | ||||
\(735\) | 1.65937 | + | 0.603960i | 0.0612067 | + | 0.0222774i | ||||
\(736\) | 0.236031 | − | 1.33860i | 0.00870020 | − | 0.0493413i | ||||
\(737\) | −2.05542 | − | 11.6569i | −0.0757124 | − | 0.429386i | ||||
\(738\) | −18.5388 | + | 6.74756i | −0.682422 | + | 0.248381i | ||||
\(739\) | 36.6828 | + | 30.7805i | 1.34940 | + | 1.13228i | 0.979103 | + | 0.203364i | \(0.0651873\pi\) |
0.370293 | + | 0.928915i | \(0.379257\pi\) | |||||||
\(740\) | 5.46406 | 0.200863 | ||||||||
\(741\) | 6.56498 | + | 2.50960i | 0.241171 | + | 0.0921925i | ||||
\(742\) | 13.2468 | 0.486307 | ||||||||
\(743\) | −31.3755 | − | 26.3272i | −1.15106 | − | 0.965851i | −0.151312 | − | 0.988486i | \(-0.548350\pi\) |
−0.999744 | + | 0.0226354i | \(0.992794\pi\) | |||||||
\(744\) | 2.14763 | − | 0.781672i | 0.0787358 | − | 0.0286575i | ||||
\(745\) | 1.68464 | + | 9.55404i | 0.0617203 | + | 0.350033i | ||||
\(746\) | −1.47452 | + | 8.36243i | −0.0539861 | + | 0.306170i | ||||
\(747\) | −10.2200 | − | 3.71977i | −0.373930 | − | 0.136099i | ||||
\(748\) | −2.08042 | − | 3.60339i | −0.0760676 | − | 0.131753i | ||||
\(749\) | 4.44811 | − | 7.70434i | 0.162530 | − | 0.281511i | ||||
\(750\) | −9.29903 | + | 7.80281i | −0.339553 | + | 0.284918i | ||||
\(751\) | −28.1177 | + | 23.5936i | −1.02603 | + | 0.860941i | −0.990373 | − | 0.138423i | \(-0.955797\pi\) |
−0.0356564 | + | 0.999364i | \(0.511352\pi\) | |||||||
\(752\) | −5.12888 | + | 8.88348i | −0.187031 | + | 0.323947i | ||||
\(753\) | −1.12586 | − | 1.95005i | −0.0410286 | − | 0.0710637i | ||||
\(754\) | −42.0390 | − | 15.3009i | −1.53097 | − | 0.557228i | ||||
\(755\) | 0.300574 | − | 1.70464i | 0.0109390 | − | 0.0620381i | ||||
\(756\) | −0.798362 | − | 4.52773i | −0.0290361 | − | 0.164672i | ||||
\(757\) | −3.13209 | + | 1.13999i | −0.113838 | + | 0.0414336i | −0.398311 | − | 0.917250i | \(-0.630404\pi\) |
0.284473 | + | 0.958684i | \(0.408181\pi\) | |||||||
\(758\) | 19.0881 | + | 16.0168i | 0.693311 | + | 0.581757i | ||||
\(759\) | −0.442416 | −0.0160587 | ||||||||
\(760\) | −9.14622 | − | 16.4463i | −0.331768 | − | 0.596570i | ||||
\(761\) | 29.2637 | 1.06081 | 0.530404 | − | 0.847745i | \(-0.322040\pi\) | ||||
0.530404 | + | 0.847745i | \(0.322040\pi\) | |||||||
\(762\) | −2.20974 | − | 1.85419i | −0.0800505 | − | 0.0671703i | ||||
\(763\) | 25.7204 | − | 9.36146i | 0.931141 | − | 0.338908i | ||||
\(764\) | −4.45144 | − | 25.2454i | −0.161048 | − | 0.913346i | ||||
\(765\) | −9.02745 | + | 51.1972i | −0.326388 | + | 1.85104i | ||||
\(766\) | 1.63704 | + | 0.595834i | 0.0591486 | + | 0.0215283i | ||||
\(767\) | −2.99008 | − | 5.17897i | −0.107966 | − | 0.187002i | ||||
\(768\) | −0.162743 | + | 0.281879i | −0.00587249 | + | 0.0101714i | ||||
\(769\) | 24.3465 | − | 20.4292i | 0.877958 | − | 0.736694i | −0.0878004 | − | 0.996138i | \(-0.527984\pi\) |
0.965758 | + | 0.259444i | \(0.0835393\pi\) | |||||||
\(770\) | −7.92580 | + | 6.65054i | −0.285626 | + | 0.239669i | ||||
\(771\) | 0.501795 | − | 0.869135i | 0.0180717 | − | 0.0313011i | ||||
\(772\) | −7.36200 | − | 12.7514i | −0.264964 | − | 0.458932i | ||||
\(773\) | 33.3444 | + | 12.1364i | 1.19931 | + | 0.436515i | 0.862985 | − | 0.505230i | \(-0.168592\pi\) |
0.336329 | + | 0.941744i | \(0.390814\pi\) | |||||||
\(774\) | 3.05110 | − | 17.3037i | 0.109670 | − | 0.621968i | ||||
\(775\) | 16.6296 | + | 94.3109i | 0.597351 | + | 3.38775i | ||||
\(776\) | −4.42146 | + | 1.60928i | −0.158721 | + | 0.0577697i | ||||
\(777\) | 0.756270 | + | 0.634586i | 0.0271311 | + | 0.0227657i | ||||
\(778\) | 32.5144 | 1.16570 | ||||||||
\(779\) | −29.7104 | − | 0.477301i | −1.06449 | − | 0.0171011i | ||||
\(780\) | 6.96115 | 0.249249 | ||||||||
\(781\) | 6.50789 | + | 5.46077i | 0.232871 | + | 0.195402i | ||||
\(782\) | −5.31452 | + | 1.93433i | −0.190047 | + | 0.0691714i | ||||
\(783\) | 3.00845 | + | 17.0618i | 0.107513 | + | 0.609738i | ||||
\(784\) | −0.218216 | + | 1.23757i | −0.00779344 | + | 0.0441988i | ||||
\(785\) | −33.0411 | − | 12.0260i | −1.17929 | − | 0.429226i | ||||
\(786\) | 2.43016 | + | 4.20916i | 0.0866808 | + | 0.150136i | ||||
\(787\) | 13.2859 | − | 23.0119i | 0.473592 | − | 0.820285i | −0.525951 | − | 0.850515i | \(-0.676291\pi\) |
0.999543 | + | 0.0302300i | \(0.00962397\pi\) | |||||||
\(788\) | 0.305839 | − | 0.256629i | 0.0108951 | − | 0.00914205i | ||||
\(789\) | −6.53795 | + | 5.48600i | −0.232757 | + | 0.195307i | ||||
\(790\) | −22.8578 | + | 39.5908i | −0.813243 | + | 1.40858i | ||||
\(791\) | −13.4881 | − | 23.3621i | −0.479583 | − | 0.830662i | ||||
\(792\) | −2.71953 | − | 0.989826i | −0.0966341 | − | 0.0351719i | ||||
\(793\) | −5.56529 | + | 31.5623i | −0.197629 | + | 1.12081i | ||||
\(794\) | 2.20395 | + | 12.4992i | 0.0782152 | + | 0.443580i | ||||
\(795\) | 7.29886 | − | 2.65657i | 0.258864 | − | 0.0942188i | ||||
\(796\) | −2.06268 | − | 1.73080i | −0.0731098 | − | 0.0613464i | ||||
\(797\) | −21.9242 | −0.776596 | −0.388298 | − | 0.921534i | \(-0.626937\pi\) | ||||
−0.388298 | + | 0.921534i | \(0.626937\pi\) | |||||||
\(798\) | 0.644131 | − | 3.33853i | 0.0228020 | − | 0.118183i | ||||
\(799\) | 42.6808 | 1.50994 | ||||||||
\(800\) | −10.4478 | − | 8.76673i | −0.369385 | − | 0.309951i | ||||
\(801\) | −29.4124 | + | 10.7053i | −1.03924 | + | 0.378251i | ||||
\(802\) | 3.41082 | + | 19.3437i | 0.120440 | + | 0.683051i | ||||
\(803\) | −1.11526 | + | 6.32494i | −0.0393566 | + | 0.223202i | ||||
\(804\) | 3.62034 | + | 1.31769i | 0.127679 | + | 0.0464715i | ||||
\(805\) | 7.03165 | + | 12.1792i | 0.247833 | + | 0.429260i | ||||
\(806\) | 17.3921 | − | 30.1240i | 0.612610 | − | 1.06107i | ||||
\(807\) | 5.80473 | − | 4.87075i | 0.204336 | − | 0.171459i | ||||
\(808\) | −10.4588 | + | 8.77596i | −0.367939 | + | 0.308737i | ||||
\(809\) | 12.4138 | − | 21.5013i | 0.436444 | − | 0.755944i | −0.560968 | − | 0.827838i | \(-0.689571\pi\) |
0.997412 | + | 0.0718936i | \(0.0229042\pi\) | |||||||
\(810\) | 17.3937 | + | 30.1267i | 0.611151 | + | 1.05854i | ||||
\(811\) | −6.67529 | − | 2.42961i | −0.234401 | − | 0.0853151i | 0.222149 | − | 0.975013i | \(-0.428693\pi\) |
−0.456550 | + | 0.889698i | \(0.650915\pi\) | |||||||
\(812\) | −3.75818 | + | 21.3137i | −0.131886 | + | 0.747965i | ||||
\(813\) | 1.03324 | + | 5.85980i | 0.0362373 | + | 0.205512i | ||||
\(814\) | 1.18931 | − | 0.432872i | 0.0416852 | − | 0.0151722i | ||||
\(815\) | −64.4493 | − | 54.0794i | −2.25756 | − | 1.89432i | ||||
\(816\) | 1.35429 | 0.0474098 | ||||||||
\(817\) | 13.5985 | − | 22.7030i | 0.475750 | − | 0.794279i | ||||
\(818\) | 4.28420 | 0.149794 | ||||||||
\(819\) | −26.3199 | − | 22.0851i | −0.919693 | − | 0.771714i | ||||
\(820\) | −27.6554 | + | 10.0658i | −0.965770 | + | 0.351511i | ||||
\(821\) | −2.89647 | − | 16.4267i | −0.101088 | − | 0.573296i | −0.992711 | − | 0.120518i | \(-0.961544\pi\) |
0.891624 | − | 0.452777i | \(-0.149567\pi\) | |||||||
\(822\) | 0.554293 | − | 3.14355i | 0.0193332 | − | 0.109644i | ||||
\(823\) | 26.3196 | + | 9.57956i | 0.917445 | + | 0.333923i | 0.757221 | − | 0.653158i | \(-0.226556\pi\) |
0.160223 | + | 0.987081i | \(0.448779\pi\) | |||||||
\(824\) | −6.16281 | − | 10.6743i | −0.214692 | − | 0.371857i | ||||
\(825\) | −2.21959 | + | 3.84444i | −0.0772762 | + | 0.133846i | ||||
\(826\) | −2.21619 | + | 1.85961i | −0.0771112 | + | 0.0647040i | ||||
\(827\) | 17.0359 | − | 14.2948i | 0.592397 | − | 0.497080i | −0.296594 | − | 0.955004i | \(-0.595851\pi\) |
0.888992 | + | 0.457923i | \(0.151407\pi\) | |||||||
\(828\) | −1.96687 | + | 3.40672i | −0.0683534 | + | 0.118392i | ||||
\(829\) | −16.4406 | − | 28.4759i | −0.571005 | − | 0.989009i | −0.996463 | − | 0.0840310i | \(-0.973221\pi\) |
0.425459 | − | 0.904978i | \(-0.360113\pi\) | |||||||
\(830\) | −15.2458 | − | 5.54901i | −0.529189 | − | 0.192609i | ||||
\(831\) | −0.0859796 | + | 0.487615i | −0.00298260 | + | 0.0169152i | ||||
\(832\) | 0.860224 | + | 4.87857i | 0.0298229 | + | 0.169134i | ||||
\(833\) | 4.91342 | − | 1.78834i | 0.170240 | − | 0.0619622i | ||||
\(834\) | −0.513642 | − | 0.430997i | −0.0177860 | − | 0.0149242i | ||||
\(835\) | 50.3201 | 1.74140 | ||||||||
\(836\) | −3.29367 | − | 2.85512i | −0.113914 | − | 0.0987464i | ||||
\(837\) | −13.4706 | −0.465612 | ||||||||
\(838\) | −11.7709 | − | 9.87694i | −0.406618 | − | 0.341193i | ||||
\(839\) | −27.5696 | + | 10.0345i | −0.951807 | + | 0.346430i | −0.770818 | − | 0.637055i | \(-0.780152\pi\) |
−0.180989 | + | 0.983485i | \(0.557930\pi\) | |||||||
\(840\) | −0.584779 | − | 3.31645i | −0.0201768 | − | 0.114428i | ||||
\(841\) | 9.12608 | − | 51.7566i | 0.314692 | − | 1.78471i | ||||
\(842\) | 17.2959 | + | 6.29518i | 0.596055 | + | 0.216946i | ||||
\(843\) | −2.47251 | − | 4.28250i | −0.0851576 | − | 0.147497i | ||||
\(844\) | 3.44359 | − | 5.96447i | 0.118533 | − | 0.205305i | ||||
\(845\) | 38.1666 | − | 32.0256i | 1.31297 | − | 1.10171i | ||||
\(846\) | 22.7412 | − | 19.0821i | 0.781859 | − | 0.656058i | ||||
\(847\) | −1.19826 | + | 2.07545i | −0.0411728 | + | 0.0713134i | ||||
\(848\) | 2.76376 | + | 4.78697i | 0.0949078 | + | 0.164385i | ||||
\(849\) | 3.28073 | + | 1.19409i | 0.112594 | + | 0.0409809i | ||||
\(850\) | −9.85419 | + | 55.8859i | −0.337996 | + | 1.91687i | ||||
\(851\) | −0.298728 | − | 1.69417i | −0.0102403 | − | 0.0580755i | ||||
\(852\) | −2.59839 | + | 0.945738i | −0.0890195 | + | 0.0324004i | ||||
\(853\) | 3.24416 | + | 2.72217i | 0.111078 | + | 0.0932055i | 0.696635 | − | 0.717426i | \(-0.254680\pi\) |
−0.585557 | + | 0.810631i | \(0.699124\pi\) | |||||||
\(854\) | 15.5045 | 0.530554 | ||||||||
\(855\) | 8.59442 | + | 53.7793i | 0.293923 | + | 1.83921i | ||||
\(856\) | 3.71213 | 0.126878 | ||||||||
\(857\) | −10.1686 | − | 8.53244i | −0.347351 | − | 0.291462i | 0.452374 | − | 0.891828i | \(-0.350577\pi\) |
−0.799725 | + | 0.600366i | \(0.795022\pi\) | |||||||
\(858\) | 1.51516 | − | 0.551475i | 0.0517269 | − | 0.0188270i | ||||
\(859\) | −1.31621 | − | 7.46459i | −0.0449084 | − | 0.254688i | 0.954085 | − | 0.299534i | \(-0.0968314\pi\) |
−0.998994 | + | 0.0448461i | \(0.985720\pi\) | |||||||
\(860\) | 4.55152 | − | 25.8130i | 0.155206 | − | 0.880215i | ||||
\(861\) | −4.99676 | − | 1.81867i | −0.170289 | − | 0.0619802i | ||||
\(862\) | −10.9152 | − | 18.9056i | −0.371772 | − | 0.643928i | ||||
\(863\) | −3.46486 | + | 6.00131i | −0.117945 | + | 0.204287i | −0.918953 | − | 0.394366i | \(-0.870964\pi\) |
0.801008 | + | 0.598654i | \(0.204297\pi\) | |||||||
\(864\) | 1.46961 | − | 1.23315i | 0.0499970 | − | 0.0419525i | ||||
\(865\) | 34.8077 | − | 29.2072i | 1.18350 | − | 0.993074i | ||||
\(866\) | −4.60800 | + | 7.98128i | −0.156586 | + | 0.271215i | ||||
\(867\) | −0.0508653 | − | 0.0881012i | −0.00172747 | − | 0.00299207i | ||||
\(868\) | −15.8128 | − | 5.75538i | −0.536721 | − | 0.195350i | ||||
\(869\) | −1.83877 | + | 10.4282i | −0.0623760 | + | 0.353752i | ||||
\(870\) | 2.20361 | + | 12.4973i | 0.0747094 | + | 0.423698i | ||||
\(871\) | 55.1007 | − | 20.0550i | 1.86702 | − | 0.679539i | ||||
\(872\) | 8.74910 | + | 7.34137i | 0.296282 | + | 0.248610i | ||||
\(873\) | 13.6172 | 0.460871 | ||||||||
\(874\) | −4.59926 | + | 3.73500i | −0.155572 | + | 0.126338i | ||||
\(875\) | 89.3786 | 3.02155 | ||||||||
\(876\) | −1.60137 | − | 1.34371i | −0.0541052 | − | 0.0453997i | ||||
\(877\) | −12.1783 | + | 4.43255i | −0.411233 | + | 0.149677i | −0.539349 | − | 0.842083i | \(-0.681329\pi\) |
0.128115 | + | 0.991759i | \(0.459107\pi\) | |||||||
\(878\) | −0.937232 | − | 5.31531i | −0.0316301 | − | 0.179383i | ||||
\(879\) | 0.544178 | − | 3.08619i | 0.0183547 | − | 0.104095i | ||||
\(880\) | −4.05688 | − | 1.47659i | −0.136758 | − | 0.0497757i | ||||
\(881\) | 20.9607 | + | 36.3050i | 0.706184 | + | 1.22315i | 0.966262 | + | 0.257560i | \(0.0829184\pi\) |
−0.260078 | + | 0.965588i | \(0.583748\pi\) | |||||||
\(882\) | 1.81842 | − | 3.14960i | 0.0612294 | − | 0.106052i | ||||
\(883\) | −1.80390 | + | 1.51365i | −0.0607062 | + | 0.0509385i | −0.672636 | − | 0.739974i | \(-0.734838\pi\) |
0.611930 | + | 0.790912i | \(0.290394\pi\) | |||||||
\(884\) | 15.7898 | − | 13.2492i | 0.531067 | − | 0.445618i | ||||
\(885\) | −0.848166 | + | 1.46907i | −0.0285108 | + | 0.0493821i | ||||
\(886\) | −11.6590 | − | 20.1939i | −0.391691 | − | 0.678428i | ||||
\(887\) | −24.0285 | − | 8.74566i | −0.806798 | − | 0.293650i | −0.0944974 | − | 0.995525i | \(-0.530124\pi\) |
−0.712300 | + | 0.701875i | \(0.752347\pi\) | |||||||
\(888\) | −0.0715338 | + | 0.405688i | −0.00240052 | + | 0.0136140i | ||||
\(889\) | 3.68814 | + | 20.9165i | 0.123696 | + | 0.701516i | ||||
\(890\) | −43.8763 | + | 15.9697i | −1.47074 | + | 0.535305i | ||||
\(891\) | 6.17260 | + | 5.17942i | 0.206790 | + | 0.173517i | ||||
\(892\) | −13.9697 | −0.467739 | ||||||||
\(893\) | 42.2563 | − | 14.6157i | 1.41405 | − | 0.489096i | ||||
\(894\) | −0.731411 | −0.0244620 | ||||||||
\(895\) | −40.4628 | − | 33.9523i | −1.35252 | − | 1.13490i | ||||
\(896\) | 2.25200 | − | 0.819661i | 0.0752340 | − | 0.0273829i | ||||
\(897\) | −0.380577 | − | 2.15836i | −0.0127071 | − | 0.0720655i | ||||
\(898\) | 3.82084 | − | 21.6691i | 0.127503 | − | 0.723106i | ||||
\(899\) | 59.5869 | + | 21.6879i | 1.98734 | + | 0.723331i | ||||
\(900\) | 19.7355 | + | 34.1829i | 0.657849 | + | 1.13943i | ||||
\(901\) | 11.4995 | − | 19.9178i | 0.383105 | − | 0.663558i | ||||
\(902\) | −5.22206 | + | 4.38183i | −0.173876 | + | 0.145899i | ||||
\(903\) | 3.62784 | − | 3.04412i | 0.120727 | − | 0.101302i | ||||
\(904\) | 5.62820 | − | 9.74833i | 0.187191 | − | 0.324225i | ||||
\(905\) | −35.1247 | − | 60.8378i | −1.16758 | − | 2.02232i | ||||
\(906\) | 0.122629 | + | 0.0446332i | 0.00407407 | + | 0.00148284i | ||||
\(907\) | 4.58203 | − | 25.9860i | 0.152144 | − | 0.862851i | −0.809207 | − | 0.587524i | \(-0.800103\pi\) |
0.961351 | − | 0.275327i | \(-0.0887861\pi\) | |||||||
\(908\) | 0.215744 | + | 1.22354i | 0.00715970 | + | 0.0406047i | ||||
\(909\) | 37.1296 | − | 13.5141i | 1.23151 | − | 0.448233i | ||||
\(910\) | −39.2631 | − | 32.9456i | −1.30156 | − | 1.09214i | ||||
\(911\) | 11.8984 | 0.394212 | 0.197106 | − | 0.980382i | \(-0.436846\pi\) | ||||
0.197106 | + | 0.980382i | \(0.436846\pi\) | |||||||
\(912\) | 1.34082 | − | 0.463767i | 0.0443991 | − | 0.0153569i | ||||
\(913\) | −3.75800 | −0.124372 | ||||||||
\(914\) | −7.39463 | − | 6.20483i | −0.244593 | − | 0.205238i | ||||
\(915\) | 8.54283 | − | 3.10933i | 0.282417 | − | 0.102791i | ||||
\(916\) | 0.405434 | + | 2.29933i | 0.0133959 | + | 0.0759720i | ||||
\(917\) | 6.21419 | − | 35.2424i | 0.205211 | − | 1.16381i | ||||
\(918\) | −7.50090 | − | 2.73010i | −0.247567 | − | 0.0901069i | ||||
\(919\) | −6.59005 | − | 11.4143i | −0.217386 | − | 0.376523i | 0.736622 | − | 0.676304i | \(-0.236420\pi\) |
−0.954008 | + | 0.299781i | \(0.903086\pi\) | |||||||
\(920\) | −2.93410 | + | 5.08201i | −0.0967344 | + | 0.167549i | ||||
\(921\) | −6.78285 | + | 5.69149i | −0.223503 | + | 0.187541i | ||||
\(922\) | −12.0405 | + | 10.1032i | −0.396532 | + | 0.332730i | ||||
\(923\) | −21.0425 | + | 36.4467i | −0.692623 | + | 1.19966i | ||||
\(924\) | −0.390018 | − | 0.675531i | −0.0128307 | − | 0.0222234i | ||||
\(925\) | −16.2205 | − | 5.90378i | −0.533327 | − | 0.194115i | ||||
\(926\) | 3.66331 | − | 20.7757i | 0.120384 | − | 0.682731i | ||||
\(927\) | 6.19422 | + | 35.1292i | 0.203445 | + | 1.15379i | ||||
\(928\) | −8.48616 | + | 3.08871i | −0.278572 | + | 0.101392i | ||||
\(929\) | −24.1767 | − | 20.2866i | −0.793211 | − | 0.665583i | 0.153327 | − | 0.988176i | \(-0.451001\pi\) |
−0.946538 | + | 0.322592i | \(0.895446\pi\) | |||||||
\(930\) | −9.86687 | −0.323547 | ||||||||
\(931\) | 4.25214 | − | 3.45311i | 0.139358 | − | 0.113171i | ||||
\(932\) | −8.24378 | −0.270034 | ||||||||
\(933\) | −5.11336 | − | 4.29062i | −0.167404 | − | 0.140468i | ||||
\(934\) | −5.11404 | + | 1.86136i | −0.167337 | + | 0.0609055i | ||||
\(935\) | 3.11930 | + | 17.6904i | 0.102012 | + | 0.578540i | ||||
\(936\) | 2.48954 | − | 14.1189i | 0.0813731 | − | 0.461490i | ||||
\(937\) | 34.1649 | + | 12.4350i | 1.11612 | + | 0.406235i | 0.833235 | − | 0.552919i | \(-0.186486\pi\) |
0.282885 | + | 0.959154i | \(0.408708\pi\) | |||||||
\(938\) | −14.1835 | − | 24.5665i | −0.463107 | − | 0.802125i | ||||
\(939\) | −1.45950 | + | 2.52793i | −0.0476290 | + | 0.0824958i | ||||
\(940\) | 33.9245 | − | 28.4660i | 1.10649 | − | 0.928459i | ||||
\(941\) | 2.04052 | − | 1.71220i | 0.0665191 | − | 0.0558161i | −0.608922 | − | 0.793230i | \(-0.708398\pi\) |
0.675441 | + | 0.737414i | \(0.263953\pi\) | |||||||
\(942\) | 1.32545 | − | 2.29575i | 0.0431856 | − | 0.0747997i | ||||
\(943\) | 4.63293 | + | 8.02447i | 0.150869 | + | 0.261313i | ||||
\(944\) | −1.13438 | − | 0.412879i | −0.0369208 | − | 0.0134381i | ||||
\(945\) | −3.44672 | + | 19.5473i | −0.112122 | + | 0.635875i | ||||
\(946\) | −1.05426 | − | 5.97903i | −0.0342771 | − | 0.194395i | ||||
\(947\) | 25.1333 | − | 9.14777i | 0.816723 | − | 0.297263i | 0.100325 | − | 0.994955i | \(-0.468012\pi\) |
0.716398 | + | 0.697692i | \(0.245790\pi\) | |||||||
\(948\) | −2.64024 | − | 2.21543i | −0.0857511 | − | 0.0719537i | ||||
\(949\) | −31.8160 | −1.03279 | ||||||||
\(950\) | 9.38151 | + | 58.7045i | 0.304376 | + | 1.90462i | ||||
\(951\) | −2.29078 | −0.0742837 | ||||||||
\(952\) | −7.63865 | − | 6.40959i | −0.247570 | − | 0.207736i | ||||
\(953\) | −37.7533 | + | 13.7411i | −1.22295 | + | 0.445118i | −0.871178 | − | 0.490968i | \(-0.836643\pi\) |
−0.351773 | + | 0.936085i | \(0.614421\pi\) | |||||||
\(954\) | −2.77784 | − | 15.7539i | −0.0899359 | − | 0.510052i | ||||
\(955\) | −19.2180 | + | 108.991i | −0.621879 | + | 3.52685i | ||||
\(956\) | 25.2236 | + | 9.18066i | 0.815791 | + | 0.296924i | ||||
\(957\) | 1.46970 | + | 2.54559i | 0.0475086 | + | 0.0822872i | ||||
\(958\) | 15.7769 | − | 27.3264i | 0.509729 | − | 0.882877i | ||||
\(959\) | −18.0042 | + | 15.1073i | −0.581385 | + | 0.487840i | ||||
\(960\) | 1.07645 | − | 0.903248i | 0.0347422 | − | 0.0291522i | ||||
\(961\) | −9.15188 | + | 15.8515i | −0.295222 | + | 0.511340i | ||||
\(962\) | 3.13487 | + | 5.42975i | 0.101072 | + | 0.175062i | ||||
\(963\) | −10.0952 | − | 3.67436i | −0.325314 | − | 0.118405i | ||||
\(964\) | 1.67894 | − | 9.52172i | 0.0540749 | − | 0.306674i | ||||
\(965\) | 11.0383 | + | 62.6014i | 0.355336 | + | 2.01521i | ||||
\(966\) | −0.996320 | + | 0.362631i | −0.0320561 | + | 0.0116675i | ||||
\(967\) | 26.7890 | + | 22.4787i | 0.861477 | + | 0.722865i | 0.962286 | − | 0.272041i | \(-0.0876986\pi\) |
−0.100809 | + | 0.994906i | \(0.532143\pi\) | |||||||
\(968\) | −1.00000 | −0.0321412 | ||||||||
\(969\) | −4.46060 | − | 3.86667i | −0.143295 | − | 0.124215i | ||||
\(970\) | 20.3136 | 0.652230 | ||||||||
\(971\) | 23.9166 | + | 20.0685i | 0.767522 | + | 0.644027i | 0.940073 | − | 0.340973i | \(-0.110757\pi\) |
−0.172551 | + | 0.985001i | \(0.555201\pi\) | |||||||
\(972\) | −7.87274 | + | 2.86544i | −0.252518 | + | 0.0919091i | ||||
\(973\) | 0.857287 | + | 4.86192i | 0.0274834 | + | 0.155866i | ||||
\(974\) | −0.114062 | + | 0.646880i | −0.00365480 | + | 0.0207274i | ||||
\(975\) | −20.6647 | − | 7.52135i | −0.661802 | − | 0.240876i | ||||
\(976\) | 3.23479 | + | 5.60282i | 0.103543 | + | 0.179342i | ||||
\(977\) | −28.3259 | + | 49.0618i | −0.906225 | + | 1.56963i | −0.0869604 | + | 0.996212i | \(0.527715\pi\) |
−0.819264 | + | 0.573416i | \(0.805618\pi\) | |||||||
\(978\) | 4.85897 | − | 4.07716i | 0.155373 | − | 0.130373i | ||||
\(979\) | −8.28499 | + | 6.95193i | −0.264789 | + | 0.222185i | ||||
\(980\) | 2.71265 | − | 4.69845i | 0.0866525 | − | 0.150087i | ||||
\(981\) | −16.5267 | − | 28.6251i | −0.527658 | − | 0.913930i | ||||
\(982\) | 22.0056 | + | 8.00940i | 0.702228 | + | 0.255590i | ||||
\(983\) | −1.15136 | + | 6.52969i | −0.0367227 | + | 0.208265i | −0.997648 | − | 0.0685424i | \(-0.978165\pi\) |
0.960926 | + | 0.276807i | \(0.0892763\pi\) | |||||||
\(984\) | −0.385293 | − | 2.18510i | −0.0122827 | − | 0.0696585i | ||||
\(985\) | −1.61969 | + | 0.589519i | −0.0516076 | + | 0.0187836i | ||||
\(986\) | 28.7846 | + | 24.1531i | 0.916687 | + | 0.769192i | ||||
\(987\) | 8.00142 | 0.254688 | ||||||||
\(988\) | 11.0956 | − | 18.5245i | 0.352999 | − | 0.589342i | ||||
\(989\) | −8.25235 | −0.262409 | ||||||||
\(990\) | 9.57124 | + | 8.03122i | 0.304194 | + | 0.255249i | ||||
\(991\) | 54.1005 | − | 19.6910i | 1.71856 | − | 0.625504i | 0.720846 | − | 0.693096i | \(-0.243754\pi\) |
0.997713 | + | 0.0675912i | \(0.0215314\pi\) | |||||||
\(992\) | −1.21930 | − | 6.91499i | −0.0387128 | − | 0.219551i | ||||
\(993\) | 0.210882 | − | 1.19597i | 0.00669215 | − | 0.0379531i | ||||
\(994\) | 19.1317 | + | 6.96339i | 0.606822 | + | 0.220865i | ||||
\(995\) | 5.81239 | + | 10.0674i | 0.184265 | + | 0.319157i | ||||
\(996\) | 0.611589 | − | 1.05930i | 0.0193789 | − | 0.0335653i | ||||
\(997\) | 25.7992 | − | 21.6481i | 0.817070 | − | 0.685603i | −0.135214 | − | 0.990816i | \(-0.543172\pi\) |
0.952284 | + | 0.305213i | \(0.0987278\pi\) | |||||||
\(998\) | 0.152369 | − | 0.127853i | 0.00482316 | − | 0.00404711i | ||||
\(999\) | 1.21402 | − | 2.10274i | 0.0384098 | − | 0.0665278i |
(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 | 418.2.j.c.111.2 | ✓ | 30 | |
19.5 | even | 9 | 7942.2.a.bz.1.9 | 15 | |||
19.6 | even | 9 | inner | 418.2.j.c.177.2 | yes | 30 | |
19.14 | odd | 18 | 7942.2.a.cb.1.7 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.j.c.111.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
418.2.j.c.177.2 | yes | 30 | 19.6 | even | 9 | inner | |
7942.2.a.bz.1.9 | 15 | 19.5 | even | 9 | |||
7942.2.a.cb.1.7 | 15 | 19.14 | odd | 18 |