Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(9,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.r (of order \(12\), degree \(4\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 9.16 | ||
Character | \(\chi\) | \(=\) | 287.9 |
Dual form | 287.2.r.c.32.16 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07606 | + | 0.621266i | 0.760893 | + | 0.439302i | 0.829616 | − | 0.558334i | \(-0.188559\pi\) |
−0.0687234 | + | 0.997636i | \(0.521893\pi\) | |||||||
\(3\) | 0.164202 | − | 0.612812i | 0.0948023 | − | 0.353807i | −0.902187 | − | 0.431345i | \(-0.858039\pi\) |
0.996989 | + | 0.0775379i | \(0.0247059\pi\) | |||||||
\(4\) | −0.228056 | − | 0.395005i | −0.114028 | − | 0.197502i | ||||
\(5\) | −3.15567 | − | 1.82193i | −1.41126 | − | 0.814792i | −0.415754 | − | 0.909477i | \(-0.636482\pi\) |
−0.995507 | + | 0.0946856i | \(0.969815\pi\) | |||||||
\(6\) | 0.557412 | − | 0.557412i | 0.227562 | − | 0.227562i | ||||
\(7\) | −1.89756 | − | 1.84371i | −0.717210 | − | 0.696857i | ||||
\(8\) | − | 3.05180i | − | 1.07897i | ||||||
\(9\) | 2.24950 | + | 1.29875i | 0.749833 | + | 0.432917i | ||||
\(10\) | −2.26381 | − | 3.92103i | −0.715879 | − | 1.23994i | ||||
\(11\) | −0.803442 | + | 2.99849i | −0.242247 | + | 0.904078i | 0.732500 | + | 0.680767i | \(0.238353\pi\) |
−0.974747 | + | 0.223311i | \(0.928313\pi\) | |||||||
\(12\) | −0.279511 | + | 0.0748947i | −0.0806879 | + | 0.0216202i | ||||
\(13\) | −3.34509 | − | 3.34509i | −0.927762 | − | 0.927762i | 0.0697992 | − | 0.997561i | \(-0.477764\pi\) |
−0.997561 | + | 0.0697992i | \(0.977764\pi\) | |||||||
\(14\) | −0.896461 | − | 3.16284i | −0.239589 | − | 0.845305i | ||||
\(15\) | −1.63467 | + | 1.63467i | −0.422070 | + | 0.422070i | ||||
\(16\) | 1.43987 | − | 2.49393i | 0.359967 | − | 0.623481i | ||||
\(17\) | 6.88594 | + | 1.84508i | 1.67008 | + | 0.447498i | 0.965134 | − | 0.261758i | \(-0.0843022\pi\) |
0.704951 | + | 0.709256i | \(0.250969\pi\) | |||||||
\(18\) | 1.61374 | + | 2.79508i | 0.380362 | + | 0.658806i | ||||
\(19\) | −1.14286 | − | 4.26520i | −0.262190 | − | 0.978505i | −0.963948 | − | 0.266090i | \(-0.914268\pi\) |
0.701759 | − | 0.712415i | \(-0.252399\pi\) | |||||||
\(20\) | 1.66201i | 0.371637i | ||||||||
\(21\) | −1.44143 | + | 0.860105i | −0.314546 | + | 0.187690i | ||||
\(22\) | −2.72742 | + | 2.72742i | −0.581487 | + | 0.581487i | ||||
\(23\) | 2.35003 | − | 4.07037i | 0.490015 | − | 0.848730i | −0.509919 | − | 0.860222i | \(-0.670325\pi\) |
0.999934 | + | 0.0114919i | \(0.00365807\pi\) | |||||||
\(24\) | −1.87018 | − | 0.501113i | −0.381749 | − | 0.102289i | ||||
\(25\) | 4.13886 | + | 7.16871i | 0.827771 | + | 1.43374i | ||||
\(26\) | −1.52134 | − | 5.67773i | −0.298360 | − | 1.11349i | ||||
\(27\) | 2.51109 | − | 2.51109i | 0.483260 | − | 0.483260i | ||||
\(28\) | −0.295525 | + | 1.17001i | −0.0558489 | + | 0.221112i | ||||
\(29\) | 1.86949 | + | 1.86949i | 0.347155 | + | 0.347155i | 0.859049 | − | 0.511894i | \(-0.171056\pi\) |
−0.511894 | + | 0.859049i | \(0.671056\pi\) | |||||||
\(30\) | −2.77458 | + | 0.743445i | −0.506566 | + | 0.135734i | ||||
\(31\) | 3.73547 | + | 6.47003i | 0.670911 | + | 1.16205i | 0.977646 | + | 0.210256i | \(0.0674299\pi\) |
−0.306736 | + | 0.951795i | \(0.599237\pi\) | |||||||
\(32\) | −2.18709 | + | 1.26272i | −0.386626 | + | 0.223219i | ||||
\(33\) | 1.70558 | + | 0.984718i | 0.296904 | + | 0.171417i | ||||
\(34\) | 6.26343 | + | 6.26343i | 1.07417 | + | 1.07417i | ||||
\(35\) | 2.62897 | + | 9.27537i | 0.444377 | + | 1.56782i | ||||
\(36\) | − | 1.18475i | − | 0.197459i | ||||||
\(37\) | 0.231640 | − | 0.401212i | 0.0380813 | − | 0.0659588i | −0.846357 | − | 0.532617i | \(-0.821209\pi\) |
0.884438 | + | 0.466658i | \(0.154542\pi\) | |||||||
\(38\) | 1.42004 | − | 5.29966i | 0.230361 | − | 0.859718i | ||||
\(39\) | −2.59918 | + | 1.50064i | −0.416203 | + | 0.240295i | ||||
\(40\) | −5.56017 | + | 9.63049i | −0.879139 | + | 1.52271i | ||||
\(41\) | −4.61239 | − | 4.44138i | −0.720334 | − | 0.693627i | ||||
\(42\) | −2.08543 | + | 0.0300156i | −0.321789 | + | 0.00463151i | ||||
\(43\) | − | 0.859456i | − | 0.131066i | −0.997850 | − | 0.0655329i | \(-0.979125\pi\) | ||
0.997850 | − | 0.0655329i | \(-0.0208747\pi\) | |||||||
\(44\) | 1.36765 | − | 0.366460i | 0.206181 | − | 0.0552459i | ||||
\(45\) | −4.73246 | − | 8.19686i | −0.705474 | − | 1.22192i | ||||
\(46\) | 5.05757 | − | 2.91999i | 0.745697 | − | 0.430529i | ||||
\(47\) | −0.866405 | − | 3.23347i | −0.126378 | − | 0.471650i | 0.873507 | − | 0.486812i | \(-0.161840\pi\) |
−0.999885 | + | 0.0151620i | \(0.995174\pi\) | |||||||
\(48\) | −1.29188 | − | 1.29188i | −0.186466 | − | 0.186466i | ||||
\(49\) | 0.201461 | + | 6.99710i | 0.0287801 | + | 0.999586i | ||||
\(50\) | 10.2853i | 1.45457i | ||||||||
\(51\) | 2.26137 | − | 3.91682i | 0.316656 | − | 0.548464i | ||||
\(52\) | −0.558459 | + | 2.08420i | −0.0774443 | + | 0.289026i | ||||
\(53\) | 3.27235 | − | 12.2126i | 0.449492 | − | 1.67753i | −0.254302 | − | 0.967125i | \(-0.581846\pi\) |
0.703794 | − | 0.710404i | \(-0.251488\pi\) | |||||||
\(54\) | 4.26215 | − | 1.14204i | 0.580005 | − | 0.155412i | ||||
\(55\) | 7.99844 | − | 7.99844i | 1.07851 | − | 1.07851i | ||||
\(56\) | −5.62664 | + | 5.79097i | −0.751891 | + | 0.773851i | ||||
\(57\) | −2.80143 | −0.371058 | ||||||||
\(58\) | 0.850240 | + | 3.17314i | 0.111642 | + | 0.416654i | ||||
\(59\) | −3.15182 | − | 5.45912i | −0.410332 | − | 0.710716i | 0.584594 | − | 0.811326i | \(-0.301254\pi\) |
−0.994926 | + | 0.100610i | \(0.967921\pi\) | |||||||
\(60\) | 1.01850 | + | 0.272906i | 0.131488 | + | 0.0352320i | ||||
\(61\) | 2.16687 | + | 1.25104i | 0.277439 | + | 0.160179i | 0.632263 | − | 0.774753i | \(-0.282126\pi\) |
−0.354824 | + | 0.934933i | \(0.615459\pi\) | |||||||
\(62\) | 9.28289i | 1.17893i | ||||||||
\(63\) | −1.87404 | − | 6.61188i | −0.236107 | − | 0.833019i | ||||
\(64\) | −8.89741 | −1.11218 | ||||||||
\(65\) | 4.46150 | + | 16.6506i | 0.553381 | + | 2.06525i | ||||
\(66\) | 1.22354 | + | 2.11924i | 0.150608 | + | 0.260860i | ||||
\(67\) | 2.55214 | + | 0.683845i | 0.311794 | + | 0.0835449i | 0.411323 | − | 0.911490i | \(-0.365067\pi\) |
−0.0995288 | + | 0.995035i | \(0.531734\pi\) | |||||||
\(68\) | −0.841564 | − | 3.14076i | −0.102055 | − | 0.380873i | ||||
\(69\) | −2.10849 | − | 2.10849i | −0.253832 | − | 0.253832i | ||||
\(70\) | −2.93354 | + | 11.6142i | −0.350625 | + | 1.38816i | ||||
\(71\) | 3.00220 | + | 3.00220i | 0.356296 | + | 0.356296i | 0.862446 | − | 0.506150i | \(-0.168932\pi\) |
−0.506150 | + | 0.862446i | \(0.668932\pi\) | |||||||
\(72\) | 3.96352 | − | 6.86503i | 0.467106 | − | 0.809051i | ||||
\(73\) | −7.49443 | + | 4.32691i | −0.877156 | + | 0.506427i | −0.869720 | − | 0.493546i | \(-0.835701\pi\) |
−0.00743665 | + | 0.999972i | \(0.502367\pi\) | |||||||
\(74\) | 0.498519 | − | 0.287820i | 0.0579516 | − | 0.0334584i | ||||
\(75\) | 5.07268 | − | 1.35922i | 0.585743 | − | 0.156949i | ||||
\(76\) | −1.42414 | + | 1.42414i | −0.163360 | + | 0.163360i | ||||
\(77\) | 7.05292 | − | 4.20849i | 0.803755 | − | 0.479602i | ||||
\(78\) | −3.72919 | −0.422247 | ||||||||
\(79\) | −9.35103 | + | 2.50560i | −1.05207 | + | 0.281902i | −0.743108 | − | 0.669171i | \(-0.766649\pi\) |
−0.308965 | + | 0.951073i | \(0.599983\pi\) | |||||||
\(80\) | −9.08751 | + | 5.24668i | −1.01601 | + | 0.586596i | ||||
\(81\) | 2.76975 | + | 4.79735i | 0.307750 | + | 0.533039i | ||||
\(82\) | −2.20395 | − | 7.64474i | −0.243386 | − | 0.844220i | ||||
\(83\) | 1.03583 | 0.113697 | 0.0568486 | − | 0.998383i | \(-0.481895\pi\) | ||||
0.0568486 | + | 0.998383i | \(0.481895\pi\) | |||||||
\(84\) | 0.668473 | + | 0.373220i | 0.0729364 | + | 0.0407217i | ||||
\(85\) | −18.3682 | − | 18.3682i | −1.99231 | − | 1.99231i | ||||
\(86\) | 0.533951 | − | 0.924831i | 0.0575775 | − | 0.0997271i | ||||
\(87\) | 1.45262 | − | 0.838669i | 0.155737 | − | 0.0899148i | ||||
\(88\) | 9.15078 | + | 2.45195i | 0.975477 | + | 0.261378i | ||||
\(89\) | 9.05247 | − | 2.42560i | 0.959560 | − | 0.257113i | 0.255146 | − | 0.966903i | \(-0.417877\pi\) |
0.704414 | + | 0.709789i | \(0.251210\pi\) | |||||||
\(90\) | − | 11.7605i | − | 1.23966i | ||||||
\(91\) | 0.180127 | + | 12.5149i | 0.0188825 | + | 1.31192i | ||||
\(92\) | −2.14375 | −0.223502 | ||||||||
\(93\) | 4.57828 | − | 1.22675i | 0.474746 | − | 0.127208i | ||||
\(94\) | 1.07654 | − | 4.01769i | 0.111036 | − | 0.414393i | ||||
\(95\) | −4.16441 | + | 15.5418i | −0.427260 | + | 1.59456i | ||||
\(96\) | 0.414682 | + | 1.54761i | 0.0423233 | + | 0.157953i | ||||
\(97\) | −0.101899 | + | 0.101899i | −0.0103463 | + | 0.0103463i | −0.712261 | − | 0.701915i | \(-0.752329\pi\) |
0.701915 | + | 0.712261i | \(0.252329\pi\) | |||||||
\(98\) | −4.13028 | + | 7.65450i | −0.417221 | + | 0.773221i | ||||
\(99\) | −5.70163 | + | 5.70163i | −0.573035 | + | 0.573035i | ||||
\(100\) | 1.88778 | − | 3.26974i | 0.188778 | − | 0.326974i | ||||
\(101\) | 4.01601 | + | 1.07609i | 0.399608 | + | 0.107075i | 0.453025 | − | 0.891498i | \(-0.350345\pi\) |
−0.0534175 | + | 0.998572i | \(0.517011\pi\) | |||||||
\(102\) | 4.86677 | − | 2.80983i | 0.481882 | − | 0.278215i | ||||
\(103\) | 1.41028 | + | 0.814223i | 0.138959 | + | 0.0802278i | 0.567868 | − | 0.823120i | \(-0.307769\pi\) |
−0.428909 | + | 0.903348i | \(0.641102\pi\) | |||||||
\(104\) | −10.2086 | + | 10.2086i | −1.00103 | + | 1.00103i | ||||
\(105\) | 6.11574 | − | 0.0880241i | 0.596835 | − | 0.00859027i | ||||
\(106\) | 11.1085 | − | 11.1085i | 1.07896 | − | 1.07896i | ||||
\(107\) | 1.09294 | − | 1.89302i | 0.105658 | − | 0.183005i | −0.808349 | − | 0.588704i | \(-0.799638\pi\) |
0.914007 | + | 0.405699i | \(0.132972\pi\) | |||||||
\(108\) | −1.56456 | − | 0.419223i | −0.150550 | − | 0.0403398i | ||||
\(109\) | 4.23566 | + | 1.13494i | 0.405702 | + | 0.108708i | 0.455898 | − | 0.890032i | \(-0.349318\pi\) |
−0.0501963 | + | 0.998739i | \(0.515985\pi\) | |||||||
\(110\) | 13.5760 | − | 3.63768i | 1.29442 | − | 0.346839i | ||||
\(111\) | −0.207832 | − | 0.207832i | −0.0197265 | − | 0.0197265i | ||||
\(112\) | −7.33031 | + | 2.07767i | −0.692649 | + | 0.196321i | ||||
\(113\) | 17.6418 | 1.65960 | 0.829802 | − | 0.558058i | \(-0.188453\pi\) | ||||
0.829802 | + | 0.558058i | \(0.188453\pi\) | |||||||
\(114\) | −3.01452 | − | 1.74043i | −0.282335 | − | 0.163006i | ||||
\(115\) | −14.8318 | + | 8.56317i | −1.38308 | + | 0.798520i | ||||
\(116\) | 0.312108 | − | 1.16480i | 0.0289785 | − | 0.108149i | ||||
\(117\) | −3.18035 | − | 11.8692i | −0.294023 | − | 1.09731i | ||||
\(118\) | − | 7.83249i | − | 0.721039i | ||||||
\(119\) | −9.66467 | − | 16.1968i | −0.885959 | − | 1.48476i | ||||
\(120\) | 4.98868 | + | 4.98868i | 0.455402 | + | 0.455402i | ||||
\(121\) | 1.18087 | + | 0.681777i | 0.107352 | + | 0.0619798i | ||||
\(122\) | 1.55446 | + | 2.69240i | 0.140734 | + | 0.243759i | ||||
\(123\) | −3.47910 | + | 2.09724i | −0.313699 | + | 0.189102i | ||||
\(124\) | 1.70379 | − | 2.95106i | 0.153005 | − | 0.265013i | ||||
\(125\) | − | 11.9435i | − | 1.06826i | ||||||
\(126\) | 2.09115 | − | 8.27909i | 0.186294 | − | 0.737560i | ||||
\(127\) | −11.3935 | −1.01101 | −0.505505 | − | 0.862823i | \(-0.668694\pi\) | ||||
−0.505505 | + | 0.862823i | \(0.668694\pi\) | |||||||
\(128\) | −5.20001 | − | 3.00223i | −0.459620 | − | 0.265362i | ||||
\(129\) | −0.526685 | − | 0.141125i | −0.0463720 | − | 0.0124253i | ||||
\(130\) | −5.54356 | + | 20.6889i | −0.486203 | + | 1.81453i | ||||
\(131\) | 2.97320 | + | 1.71658i | 0.259769 | + | 0.149978i | 0.624229 | − | 0.781241i | \(-0.285413\pi\) |
−0.364460 | + | 0.931219i | \(0.618746\pi\) | |||||||
\(132\) | − | 0.898284i | − | 0.0781856i | ||||||
\(133\) | −5.69516 | + | 10.2006i | −0.493833 | + | 0.884502i | ||||
\(134\) | 2.32142 | + | 2.32142i | 0.200540 | + | 0.200540i | ||||
\(135\) | −12.4992 | + | 3.34915i | −1.07576 | + | 0.288249i | ||||
\(136\) | 5.63082 | − | 21.0145i | 0.482839 | − | 1.80198i | ||||
\(137\) | 10.3991 | + | 2.78642i | 0.888451 | + | 0.238060i | 0.674050 | − | 0.738686i | \(-0.264553\pi\) |
0.214401 | + | 0.976746i | \(0.431220\pi\) | |||||||
\(138\) | −0.958938 | − | 3.57880i | −0.0816302 | − | 0.304648i | ||||
\(139\) | 9.54789 | 0.809842 | 0.404921 | − | 0.914352i | \(-0.367299\pi\) | ||||
0.404921 | + | 0.914352i | \(0.367299\pi\) | |||||||
\(140\) | 3.06426 | − | 3.15376i | 0.258978 | − | 0.266541i | ||||
\(141\) | −2.12377 | −0.178854 | ||||||||
\(142\) | 1.36540 | + | 5.09573i | 0.114582 | + | 0.427624i | ||||
\(143\) | 12.7178 | − | 7.34263i | 1.06352 | − | 0.614022i | ||||
\(144\) | 6.47797 | − | 3.74006i | 0.539831 | − | 0.311671i | ||||
\(145\) | −2.49342 | − | 9.30557i | −0.207067 | − | 0.772785i | ||||
\(146\) | −10.7527 | −0.889896 | ||||||||
\(147\) | 4.32099 | + | 1.02548i | 0.356389 | + | 0.0845804i | ||||
\(148\) | −0.211308 | −0.0173694 | ||||||||
\(149\) | 1.01768 | + | 3.79803i | 0.0833715 | + | 0.311147i | 0.995001 | − | 0.0998666i | \(-0.0318416\pi\) |
−0.911629 | + | 0.411013i | \(0.865175\pi\) | |||||||
\(150\) | 6.30297 | + | 1.68888i | 0.514635 | + | 0.137896i | ||||
\(151\) | 0.232699 | − | 0.868444i | 0.0189368 | − | 0.0706730i | −0.955811 | − | 0.293982i | \(-0.905019\pi\) |
0.974748 | + | 0.223309i | \(0.0716860\pi\) | |||||||
\(152\) | −13.0165 | + | 3.48777i | −1.05578 | + | 0.282896i | ||||
\(153\) | 13.0936 | + | 13.0936i | 1.05856 | + | 1.05856i | ||||
\(154\) | 10.2040 | − | 0.146867i | 0.822262 | − | 0.0118348i | ||||
\(155\) | − | 27.2231i | − | 2.18661i | ||||||
\(156\) | 1.18552 | + | 0.684460i | 0.0949176 | + | 0.0548007i | ||||
\(157\) | −4.96525 | + | 18.5306i | −0.396270 | + | 1.47890i | 0.423336 | + | 0.905973i | \(0.360859\pi\) |
−0.819606 | + | 0.572928i | \(0.805808\pi\) | |||||||
\(158\) | −11.6190 | − | 3.11329i | −0.924355 | − | 0.247680i | ||||
\(159\) | −6.94669 | − | 4.01067i | −0.550908 | − | 0.318067i | ||||
\(160\) | 9.20232 | 0.727507 | ||||||||
\(161\) | −11.9639 | + | 3.39099i | −0.942887 | + | 0.267248i | ||||
\(162\) | 6.88301i | 0.540780i | ||||||||
\(163\) | 6.57804 | − | 11.3935i | 0.515232 | − | 0.892408i | −0.484612 | − | 0.874729i | \(-0.661039\pi\) |
0.999844 | − | 0.0176784i | \(-0.00562749\pi\) | |||||||
\(164\) | −0.702483 | + | 2.83480i | −0.0548547 | + | 0.221361i | ||||
\(165\) | −3.58817 | − | 6.21490i | −0.279339 | − | 0.483829i | ||||
\(166\) | 1.11462 | + | 0.643527i | 0.0865114 | + | 0.0499474i | ||||
\(167\) | 11.2644 | + | 11.2644i | 0.871663 | + | 0.871663i | 0.992654 | − | 0.120991i | \(-0.0386071\pi\) |
−0.120991 | + | 0.992654i | \(0.538607\pi\) | |||||||
\(168\) | 2.62487 | + | 4.39896i | 0.202513 | + | 0.339387i | ||||
\(169\) | 9.37929i | 0.721484i | ||||||||
\(170\) | −8.35382 | − | 31.1769i | −0.640708 | − | 2.39116i | ||||
\(171\) | 2.96857 | − | 11.0789i | 0.227012 | − | 0.847222i | ||||
\(172\) | −0.339489 | + | 0.196004i | −0.0258858 | + | 0.0149452i | ||||
\(173\) | 9.91510 | + | 5.72448i | 0.753831 | + | 0.435225i | 0.827076 | − | 0.562089i | \(-0.190002\pi\) |
−0.0732455 | + | 0.997314i | \(0.523336\pi\) | |||||||
\(174\) | 2.08415 | 0.157999 | ||||||||
\(175\) | 5.36330 | − | 21.2339i | 0.405428 | − | 1.60513i | ||||
\(176\) | 6.32115 | + | 6.32115i | 0.476475 | + | 0.476475i | ||||
\(177\) | −3.86295 | + | 1.03507i | −0.290357 | + | 0.0778009i | ||||
\(178\) | 11.2480 | + | 3.01389i | 0.843073 | + | 0.225901i | ||||
\(179\) | −22.2790 | − | 5.96964i | −1.66521 | − | 0.446192i | −0.701398 | − | 0.712770i | \(-0.747441\pi\) |
−0.963814 | + | 0.266577i | \(0.914107\pi\) | |||||||
\(180\) | −2.15853 | + | 3.73869i | −0.160888 | + | 0.278666i | ||||
\(181\) | 13.1787 | − | 13.1787i | 0.979568 | − | 0.979568i | −0.0202274 | − | 0.999795i | \(-0.506439\pi\) |
0.999795 | + | 0.0202274i | \(0.00643903\pi\) | |||||||
\(182\) | −7.58126 | + | 13.5787i | −0.561960 | + | 1.00652i | ||||
\(183\) | 1.12246 | − | 1.12246i | 0.0829745 | − | 0.0829745i | ||||
\(184\) | −12.4219 | − | 7.17182i | −0.915758 | − | 0.528713i | ||||
\(185\) | −1.46196 | + | 0.844063i | −0.107485 | + | 0.0620567i | ||||
\(186\) | 5.68867 | + | 1.52427i | 0.417113 | + | 0.111765i | ||||
\(187\) | −11.0649 | + | 19.1650i | −0.809146 | + | 1.40148i | ||||
\(188\) | −1.07965 | + | 1.07965i | −0.0787413 | + | 0.0787413i | ||||
\(189\) | −9.39467 | + | 0.135218i | −0.683361 | + | 0.00983565i | ||||
\(190\) | −14.1368 | + | 14.1368i | −1.02559 | + | 1.02559i | ||||
\(191\) | −4.31187 | − | 16.0921i | −0.311996 | − | 1.16438i | −0.926754 | − | 0.375669i | \(-0.877413\pi\) |
0.614758 | − | 0.788716i | \(-0.289254\pi\) | |||||||
\(192\) | −1.46098 | + | 5.45243i | −0.105437 | + | 0.393496i | ||||
\(193\) | 1.10302 | − | 4.11651i | 0.0793969 | − | 0.296313i | −0.914797 | − | 0.403913i | \(-0.867650\pi\) |
0.994194 | + | 0.107600i | \(0.0343165\pi\) | |||||||
\(194\) | −0.172957 | + | 0.0463436i | −0.0124176 | + | 0.00332727i | ||||
\(195\) | 10.9362 | 0.783161 | ||||||||
\(196\) | 2.71794 | − | 1.67531i | 0.194139 | − | 0.119665i | ||||
\(197\) | 22.6576i | 1.61428i | 0.590357 | + | 0.807142i | \(0.298987\pi\) | ||||
−0.590357 | + | 0.807142i | \(0.701013\pi\) | |||||||
\(198\) | −9.67755 | + | 2.59309i | −0.687754 | + | 0.184283i | ||||
\(199\) | −14.7583 | − | 3.95448i | −1.04619 | − | 0.280326i | −0.305513 | − | 0.952188i | \(-0.598828\pi\) |
−0.740676 | + | 0.671862i | \(0.765495\pi\) | |||||||
\(200\) | 21.8775 | − | 12.6310i | 1.54697 | − | 0.893144i | ||||
\(201\) | 0.838136 | − | 1.45169i | 0.0591176 | − | 0.102395i | ||||
\(202\) | 3.65295 | + | 3.65295i | 0.257021 | + | 0.257021i | ||||
\(203\) | −0.100669 | − | 6.99426i | −0.00706555 | − | 0.490901i | ||||
\(204\) | −2.06288 | −0.144431 | ||||||||
\(205\) | 6.46332 | + | 22.4190i | 0.451418 | + | 1.56581i | ||||
\(206\) | 1.01170 | + | 1.75231i | 0.0704884 | + | 0.122090i | ||||
\(207\) | 10.5728 | − | 6.10420i | 0.734859 | − | 0.424271i | ||||
\(208\) | −13.1589 | + | 3.52592i | −0.912406 | + | 0.244478i | ||||
\(209\) | 13.7074 | 0.948159 | ||||||||
\(210\) | 6.63562 | + | 3.70478i | 0.457901 | + | 0.255654i | ||||
\(211\) | 1.54403 | − | 1.54403i | 0.106296 | − | 0.106296i | −0.651959 | − | 0.758254i | \(-0.726053\pi\) |
0.758254 | + | 0.651959i | \(0.226053\pi\) | |||||||
\(212\) | −5.57031 | + | 1.49256i | −0.382571 | + | 0.102510i | ||||
\(213\) | 2.33275 | − | 1.34682i | 0.159838 | − | 0.0922823i | ||||
\(214\) | 2.35214 | − | 1.35801i | 0.160789 | − | 0.0928317i | ||||
\(215\) | −1.56587 | + | 2.71217i | −0.106791 | + | 0.184968i | ||||
\(216\) | −7.66335 | − | 7.66335i | −0.521425 | − | 0.521425i | ||||
\(217\) | 4.84058 | − | 19.1644i | 0.328600 | − | 1.30096i | ||||
\(218\) | 3.85274 | + | 3.85274i | 0.260940 | + | 0.260940i | ||||
\(219\) | 1.42098 | + | 5.30316i | 0.0960208 | + | 0.358354i | ||||
\(220\) | −4.98351 | − | 1.33533i | −0.335988 | − | 0.0900278i | ||||
\(221\) | −16.8621 | − | 29.2061i | −1.13427 | − | 1.96461i | ||||
\(222\) | −0.0945215 | − | 0.352759i | −0.00634387 | − | 0.0236756i | ||||
\(223\) | −28.1078 | −1.88223 | −0.941117 | − | 0.338081i | \(-0.890222\pi\) | ||||
−0.941117 | + | 0.338081i | \(0.890222\pi\) | |||||||
\(224\) | 6.47821 | + | 1.63628i | 0.432844 | + | 0.109329i | ||||
\(225\) | 21.5014i | 1.43342i | ||||||||
\(226\) | 18.9838 | + | 10.9603i | 1.26278 | + | 0.729067i | ||||
\(227\) | −14.4276 | − | 3.86587i | −0.957595 | − | 0.256587i | −0.254013 | − | 0.967201i | \(-0.581751\pi\) |
−0.703582 | + | 0.710614i | \(0.748417\pi\) | |||||||
\(228\) | 0.638883 | + | 1.10658i | 0.0423110 | + | 0.0732849i | ||||
\(229\) | −1.62118 | − | 6.05034i | −0.107131 | − | 0.399818i | 0.891447 | − | 0.453124i | \(-0.149691\pi\) |
−0.998578 | + | 0.0533066i | \(0.983024\pi\) | |||||||
\(230\) | −21.2800 | −1.40316 | ||||||||
\(231\) | −1.42091 | − | 5.01316i | −0.0934888 | − | 0.329842i | ||||
\(232\) | 5.70530 | − | 5.70530i | 0.374571 | − | 0.374571i | ||||
\(233\) | 12.2549 | − | 3.28368i | 0.802842 | − | 0.215121i | 0.166011 | − | 0.986124i | \(-0.446911\pi\) |
0.636831 | + | 0.771003i | \(0.280245\pi\) | |||||||
\(234\) | 3.95169 | − | 14.7479i | 0.258330 | − | 0.964101i | ||||
\(235\) | −3.15706 | + | 11.7823i | −0.205944 | + | 0.768593i | ||||
\(236\) | −1.43759 | + | 2.48997i | −0.0935788 | + | 0.162083i | ||||
\(237\) | 6.14185i | 0.398956i | ||||||||
\(238\) | −0.337275 | − | 23.4332i | −0.0218623 | − | 1.51895i | ||||
\(239\) | −7.96607 | − | 7.96607i | −0.515282 | − | 0.515282i | 0.400858 | − | 0.916140i | \(-0.368712\pi\) |
−0.916140 | + | 0.400858i | \(0.868712\pi\) | |||||||
\(240\) | 1.72303 | + | 6.43045i | 0.111221 | + | 0.415084i | ||||
\(241\) | −19.8334 | + | 11.4508i | −1.27758 | + | 0.737612i | −0.976403 | − | 0.215955i | \(-0.930713\pi\) |
−0.301179 | + | 0.953568i | \(0.597380\pi\) | |||||||
\(242\) | 0.847131 | + | 1.46727i | 0.0544556 | + | 0.0943199i | ||||
\(243\) | 13.6853 | − | 3.66697i | 0.877913 | − | 0.235236i | ||||
\(244\) | − | 1.14123i | − | 0.0730598i | ||||||
\(245\) | 12.1125 | − | 22.4476i | 0.773838 | − | 1.43413i | ||||
\(246\) | −5.04668 | + | 0.0953229i | −0.321764 | + | 0.00607756i | ||||
\(247\) | −10.4445 | + | 18.0905i | −0.664570 | + | 1.15107i | ||||
\(248\) | 19.7452 | − | 11.3999i | 1.25382 | − | 0.723895i | ||||
\(249\) | 0.170086 | − | 0.634769i | 0.0107788 | − | 0.0402269i | ||||
\(250\) | 7.42011 | − | 12.8520i | 0.469289 | − | 0.812832i | ||||
\(251\) | 12.1104i | 0.764403i | 0.924079 | + | 0.382202i | \(0.124834\pi\) | ||||
−0.924079 | + | 0.382202i | \(0.875166\pi\) | |||||||
\(252\) | −2.18434 | + | 2.24814i | −0.137600 | + | 0.141619i | ||||
\(253\) | 10.3168 | + | 10.3168i | 0.648614 | + | 0.648614i | ||||
\(254\) | −12.2602 | − | 7.07841i | −0.769271 | − | 0.444139i | ||||
\(255\) | −14.2723 | + | 8.24013i | −0.893768 | + | 0.516017i | ||||
\(256\) | 5.16704 | + | 8.94958i | 0.322940 | + | 0.559349i | ||||
\(257\) | −18.2443 | + | 4.88854i | −1.13805 | + | 0.304939i | −0.778165 | − | 0.628060i | \(-0.783849\pi\) |
−0.359881 | + | 0.932998i | \(0.617183\pi\) | |||||||
\(258\) | −0.479071 | − | 0.479071i | −0.0298257 | − | 0.0298257i | ||||
\(259\) | −1.17927 | + | 0.334246i | −0.0732762 | + | 0.0207691i | ||||
\(260\) | 5.55958 | − | 5.55958i | 0.344790 | − | 0.344790i | ||||
\(261\) | 1.77742 | + | 6.63341i | 0.110019 | + | 0.410598i | ||||
\(262\) | 2.13290 | + | 3.69429i | 0.131771 | + | 0.228234i | ||||
\(263\) | 14.7973 | + | 3.96492i | 0.912440 | + | 0.244488i | 0.684351 | − | 0.729153i | \(-0.260086\pi\) |
0.228089 | + | 0.973640i | \(0.426752\pi\) | |||||||
\(264\) | 3.00516 | − | 5.20509i | 0.184955 | − | 0.320351i | ||||
\(265\) | −32.5770 | + | 32.5770i | −2.00119 | + | 2.00119i | ||||
\(266\) | −12.4656 | + | 7.43827i | −0.764317 | + | 0.456070i | ||||
\(267\) | − | 5.94575i | − | 0.363874i | ||||||
\(268\) | −0.311910 | − | 1.16406i | −0.0190529 | − | 0.0711065i | ||||
\(269\) | 15.3144 | + | 26.5253i | 0.933736 | + | 1.61728i | 0.776873 | + | 0.629658i | \(0.216805\pi\) |
0.156863 | + | 0.987620i | \(0.449862\pi\) | |||||||
\(270\) | −15.5307 | − | 4.16143i | −0.945167 | − | 0.253257i | ||||
\(271\) | −0.286300 | + | 0.495887i | −0.0173915 | + | 0.0301230i | −0.874590 | − | 0.484863i | \(-0.838869\pi\) |
0.857199 | + | 0.514986i | \(0.172203\pi\) | |||||||
\(272\) | 14.5163 | − | 14.5163i | 0.880182 | − | 0.880182i | ||||
\(273\) | 7.69885 | + | 1.94459i | 0.465956 | + | 0.117692i | ||||
\(274\) | 9.45895 | + | 9.45895i | 0.571436 | + | 0.571436i | ||||
\(275\) | −24.8206 | + | 6.65066i | −1.49674 | + | 0.401050i | ||||
\(276\) | −0.352009 | + | 1.31372i | −0.0211885 | + | 0.0790765i | ||||
\(277\) | 5.03022 | + | 8.71260i | 0.302237 | + | 0.523489i | 0.976642 | − | 0.214872i | \(-0.0689334\pi\) |
−0.674406 | + | 0.738361i | \(0.735600\pi\) | |||||||
\(278\) | 10.2742 | + | 5.93178i | 0.616203 | + | 0.355765i | ||||
\(279\) | 19.4058i | 1.16179i | ||||||||
\(280\) | 28.3066 | − | 8.02308i | 1.69164 | − | 0.479471i | ||||
\(281\) | 14.0603 | − | 14.0603i | 0.838769 | − | 0.838769i | −0.149928 | − | 0.988697i | \(-0.547904\pi\) |
0.988697 | + | 0.149928i | \(0.0479041\pi\) | |||||||
\(282\) | −2.28532 | − | 1.31943i | −0.136089 | − | 0.0785708i | ||||
\(283\) | 11.4151 | + | 19.7715i | 0.678558 | + | 1.17530i | 0.975415 | + | 0.220375i | \(0.0707280\pi\) |
−0.296857 | + | 0.954922i | \(0.595939\pi\) | |||||||
\(284\) | 0.501214 | − | 1.87056i | 0.0297416 | − | 0.110997i | ||||
\(285\) | 8.84039 | + | 5.10400i | 0.523660 | + | 0.302335i | ||||
\(286\) | 18.2469 | 1.07896 | ||||||||
\(287\) | 0.563662 | + | 16.9317i | 0.0332719 | + | 0.999446i | ||||
\(288\) | −6.55981 | −0.386541 | ||||||||
\(289\) | 29.2894 | + | 16.9102i | 1.72290 | + | 0.994719i | ||||
\(290\) | 3.09816 | − | 11.5625i | 0.181930 | − | 0.678972i | ||||
\(291\) | 0.0457129 | + | 0.0791771i | 0.00267974 | + | 0.00464144i | ||||
\(292\) | 3.41830 | + | 1.97356i | 0.200041 | + | 0.115494i | ||||
\(293\) | 12.4151 | − | 12.4151i | 0.725299 | − | 0.725299i | −0.244380 | − | 0.969679i | \(-0.578585\pi\) |
0.969679 | + | 0.244380i | \(0.0785846\pi\) | |||||||
\(294\) | 4.01256 | + | 3.78797i | 0.234017 | + | 0.220919i | ||||
\(295\) | 22.9696i | 1.33734i | ||||||||
\(296\) | −1.22442 | − | 0.706918i | −0.0711679 | − | 0.0410888i | ||||
\(297\) | 5.51196 | + | 9.54699i | 0.319836 | + | 0.553972i | ||||
\(298\) | −1.26450 | + | 4.71918i | −0.0732505 | + | 0.273375i | ||||
\(299\) | −21.4768 | + | 5.75470i | −1.24204 | + | 0.332803i | ||||
\(300\) | −1.69375 | − | 1.69375i | −0.0977890 | − | 0.0977890i | ||||
\(301\) | −1.58459 | + | 1.63087i | −0.0913342 | + | 0.0940017i | ||||
\(302\) | 0.789934 | − | 0.789934i | 0.0454556 | − | 0.0454556i | ||||
\(303\) | 1.31888 | − | 2.28436i | 0.0757675 | − | 0.131233i | ||||
\(304\) | −12.2827 | − | 3.29113i | −0.704459 | − | 0.188759i | ||||
\(305\) | −4.55862 | − | 7.89576i | −0.261026 | − | 0.452110i | ||||
\(306\) | 5.95496 | + | 22.2242i | 0.340422 | + | 1.27047i | ||||
\(307\) | 19.9297i | 1.13745i | 0.822528 | + | 0.568725i | \(0.192563\pi\) | ||||
−0.822528 | + | 0.568725i | \(0.807437\pi\) | |||||||
\(308\) | −3.27084 | − | 1.82617i | −0.186373 | − | 0.104055i | ||||
\(309\) | 0.730536 | − | 0.730536i | 0.0415588 | − | 0.0415588i | ||||
\(310\) | 16.9128 | − | 29.2938i | 0.960581 | − | 1.66378i | ||||
\(311\) | 9.90447 | + | 2.65389i | 0.561631 | + | 0.150488i | 0.528455 | − | 0.848961i | \(-0.322771\pi\) |
0.0331753 | + | 0.999450i | \(0.489438\pi\) | |||||||
\(312\) | 4.57965 | + | 7.93219i | 0.259272 | + | 0.449072i | ||||
\(313\) | −3.76064 | − | 14.0349i | −0.212564 | − | 0.793299i | −0.987010 | − | 0.160659i | \(-0.948638\pi\) |
0.774446 | − | 0.632640i | \(-0.218029\pi\) | |||||||
\(314\) | −16.8554 | + | 16.8554i | −0.951203 | + | 0.951203i | ||||
\(315\) | −6.13252 | + | 24.2793i | −0.345528 | + | 1.36798i | ||||
\(316\) | 3.12228 | + | 3.12228i | 0.175642 | + | 0.175642i | ||||
\(317\) | −4.58149 | + | 1.22761i | −0.257322 | + | 0.0689492i | −0.385174 | − | 0.922844i | \(-0.625858\pi\) |
0.127852 | + | 0.991793i | \(0.459192\pi\) | |||||||
\(318\) | −4.98339 | − | 8.63149i | −0.279455 | − | 0.484030i | ||||
\(319\) | −7.10766 | + | 4.10361i | −0.397952 | + | 0.229758i | ||||
\(320\) | 28.0773 | + | 16.2104i | 1.56957 | + | 0.906192i | ||||
\(321\) | −0.980604 | − | 0.980604i | −0.0547320 | − | 0.0547320i | ||||
\(322\) | −14.9806 | − | 3.78384i | −0.834838 | − | 0.210865i | ||||
\(323\) | − | 31.4786i | − | 1.75152i | ||||||
\(324\) | 1.26332 | − | 2.18813i | 0.0701843 | − | 0.121563i | ||||
\(325\) | 10.1351 | − | 37.8249i | 0.562196 | − | 2.09815i | ||||
\(326\) | 14.1568 | − | 8.17343i | 0.784072 | − | 0.452684i | ||||
\(327\) | 1.39101 | − | 2.40930i | 0.0769230 | − | 0.133235i | ||||
\(328\) | −13.5542 | + | 14.0761i | −0.748406 | + | 0.777222i | ||||
\(329\) | −4.31753 | + | 7.73310i | −0.238033 | + | 0.426339i | ||||
\(330\) | − | 8.91684i | − | 0.490856i | ||||||
\(331\) | −23.6171 | + | 6.32819i | −1.29811 | + | 0.347829i | −0.840737 | − | 0.541444i | \(-0.817878\pi\) |
−0.457378 | + | 0.889273i | \(0.651211\pi\) | |||||||
\(332\) | −0.236228 | − | 0.409158i | −0.0129647 | − | 0.0224555i | ||||
\(333\) | 1.04215 | − | 0.601684i | 0.0571093 | − | 0.0329721i | ||||
\(334\) | 5.12302 | + | 19.1194i | 0.280319 | + | 1.04617i | ||||
\(335\) | −6.80782 | − | 6.80782i | −0.371951 | − | 0.371951i | ||||
\(336\) | 0.0695653 | + | 4.83326i | 0.00379510 | + | 0.263676i | ||||
\(337\) | − | 23.4005i | − | 1.27471i | −0.770572 | − | 0.637353i | \(-0.780029\pi\) | ||
0.770572 | − | 0.637353i | \(-0.219971\pi\) | |||||||
\(338\) | −5.82704 | + | 10.0927i | −0.316949 | + | 0.548972i | ||||
\(339\) | 2.89683 | − | 10.8111i | 0.157334 | − | 0.587180i | ||||
\(340\) | −3.06654 | + | 11.4445i | −0.166307 | + | 0.620665i | ||||
\(341\) | −22.4015 | + | 6.00247i | −1.21311 | + | 0.325052i | ||||
\(342\) | 10.0773 | − | 10.0773i | 0.544918 | − | 0.544918i | ||||
\(343\) | 12.5183 | − | 13.6488i | 0.675927 | − | 0.736968i | ||||
\(344\) | −2.62289 | −0.141417 | ||||||||
\(345\) | 2.81219 | + | 10.4952i | 0.151403 | + | 0.565044i | ||||
\(346\) | 7.11286 | + | 12.3198i | 0.382390 | + | 0.662318i | ||||
\(347\) | −33.1649 | − | 8.88651i | −1.78039 | − | 0.477053i | −0.789732 | − | 0.613452i | \(-0.789780\pi\) |
−0.990654 | + | 0.136400i | \(0.956447\pi\) | |||||||
\(348\) | −0.662557 | − | 0.382527i | −0.0355168 | − | 0.0205056i | ||||
\(349\) | 4.94515i | 0.264708i | 0.991203 | + | 0.132354i | \(0.0422535\pi\) | ||||
−0.991203 | + | 0.132354i | \(0.957746\pi\) | |||||||
\(350\) | 18.9632 | − | 19.5170i | 1.01362 | − | 1.04323i | ||||
\(351\) | −16.7997 | −0.896700 | ||||||||
\(352\) | −2.02904 | − | 7.57248i | −0.108148 | − | 0.403614i | ||||
\(353\) | 4.76391 | + | 8.25134i | 0.253557 | + | 0.439174i | 0.964503 | − | 0.264073i | \(-0.0850660\pi\) |
−0.710945 | + | 0.703247i | \(0.751733\pi\) | |||||||
\(354\) | −4.79984 | − | 1.28611i | −0.255109 | − | 0.0683561i | ||||
\(355\) | −4.00417 | − | 14.9438i | −0.212519 | − | 0.793134i | ||||
\(356\) | −3.02260 | − | 3.02260i | −0.160197 | − | 0.160197i | ||||
\(357\) | −11.5126 | + | 3.26307i | −0.609310 | + | 0.172700i | ||||
\(358\) | −20.2649 | − | 20.2649i | −1.07103 | − | 1.07103i | ||||
\(359\) | 14.4678 | − | 25.0590i | 0.763584 | − | 1.32257i | −0.177409 | − | 0.984137i | \(-0.556771\pi\) |
0.940992 | − | 0.338428i | \(-0.109895\pi\) | |||||||
\(360\) | −25.0152 | + | 14.4425i | −1.31842 | + | 0.761188i | ||||
\(361\) | −0.431356 | + | 0.249044i | −0.0227030 | + | 0.0131076i | ||||
\(362\) | 22.3687 | − | 5.99367i | 1.17567 | − | 0.315020i | ||||
\(363\) | 0.611703 | − | 0.611703i | 0.0321061 | − | 0.0321061i | ||||
\(364\) | 4.90237 | − | 2.92525i | 0.256954 | − | 0.153325i | ||||
\(365\) | 31.5333 | 1.65053 | ||||||||
\(366\) | 1.90518 | − | 0.510492i | 0.0995855 | − | 0.0266839i | ||||
\(367\) | 15.3047 | − | 8.83619i | 0.798901 | − | 0.461246i | −0.0441859 | − | 0.999023i | \(-0.514069\pi\) |
0.843087 | + | 0.537778i | \(0.180736\pi\) | |||||||
\(368\) | −6.76746 | − | 11.7216i | −0.352778 | − | 0.611030i | ||||
\(369\) | −4.60733 | − | 15.9812i | −0.239848 | − | 0.831949i | ||||
\(370\) | −2.09755 | −0.109046 | ||||||||
\(371\) | −28.7260 | + | 17.1408i | −1.49138 | + | 0.889908i | ||||
\(372\) | −1.52868 | − | 1.52868i | −0.0792582 | − | 0.0792582i | ||||
\(373\) | −2.59236 | + | 4.49010i | −0.134227 | + | 0.232489i | −0.925302 | − | 0.379231i | \(-0.876189\pi\) |
0.791075 | + | 0.611720i | \(0.209522\pi\) | |||||||
\(374\) | −23.8131 | + | 13.7485i | −1.23135 | + | 0.710918i | ||||
\(375\) | −7.31913 | − | 1.96116i | −0.377958 | − | 0.101274i | ||||
\(376\) | −9.86790 | + | 2.64410i | −0.508898 | + | 0.136359i | ||||
\(377\) | − | 12.5072i | − | 0.644154i | ||||||
\(378\) | −10.1933 | − | 5.69109i | −0.524286 | − | 0.292718i | ||||
\(379\) | −5.56746 | −0.285981 | −0.142991 | − | 0.989724i | \(-0.545672\pi\) | ||||
−0.142991 | + | 0.989724i | \(0.545672\pi\) | |||||||
\(380\) | 7.08881 | − | 1.89944i | 0.363648 | − | 0.0974392i | ||||
\(381\) | −1.87084 | + | 6.98208i | −0.0958461 | + | 0.357703i | ||||
\(382\) | 5.35764 | − | 19.9950i | 0.274121 | − | 1.02303i | ||||
\(383\) | 2.40495 | + | 8.97541i | 0.122887 | + | 0.458622i | 0.999756 | − | 0.0221089i | \(-0.00703806\pi\) |
−0.876868 | + | 0.480731i | \(0.840371\pi\) | |||||||
\(384\) | −2.69365 | + | 2.69365i | −0.137460 | + | 0.137460i | ||||
\(385\) | −29.9243 | + | 0.430702i | −1.52508 | + | 0.0219506i | ||||
\(386\) | 3.74437 | − | 3.74437i | 0.190583 | − | 0.190583i | ||||
\(387\) | 1.11622 | − | 1.93335i | 0.0567406 | − | 0.0982776i | ||||
\(388\) | 0.0634894 | + | 0.0170119i | 0.00322318 | + | 0.000863650i | ||||
\(389\) | 4.35848 | − | 2.51637i | 0.220983 | − | 0.127585i | −0.385422 | − | 0.922740i | \(-0.625944\pi\) |
0.606406 | + | 0.795156i | \(0.292611\pi\) | |||||||
\(390\) | 11.7681 | + | 6.79432i | 0.595901 | + | 0.344044i | ||||
\(391\) | 23.6923 | − | 23.6923i | 1.19817 | − | 1.19817i | ||||
\(392\) | 21.3538 | − | 0.614818i | 1.07853 | − | 0.0310530i | ||||
\(393\) | 1.54014 | − | 1.54014i | 0.0776900 | − | 0.0776900i | ||||
\(394\) | −14.0764 | + | 24.3810i | −0.709158 | + | 1.22830i | ||||
\(395\) | 34.0738 | + | 9.13006i | 1.71444 | + | 0.459383i | ||||
\(396\) | 3.55246 | + | 0.951879i | 0.178518 | + | 0.0478337i | ||||
\(397\) | 13.7513 | − | 3.68466i | 0.690160 | − | 0.184928i | 0.103341 | − | 0.994646i | \(-0.467047\pi\) |
0.586819 | + | 0.809718i | \(0.300380\pi\) | |||||||
\(398\) | −13.4241 | − | 13.4241i | −0.672890 | − | 0.672890i | ||||
\(399\) | 5.31587 | + | 5.16502i | 0.266127 | + | 0.258574i | ||||
\(400\) | 23.8376 | 1.19188 | ||||||||
\(401\) | 30.3583 | + | 17.5274i | 1.51602 | + | 0.875276i | 0.999823 | + | 0.0188075i | \(0.00598698\pi\) |
0.516199 | + | 0.856468i | \(0.327346\pi\) | |||||||
\(402\) | 1.80378 | − | 1.04141i | 0.0899643 | − | 0.0519409i | ||||
\(403\) | 9.14734 | − | 34.1383i | 0.455662 | − | 1.70055i | ||||
\(404\) | −0.490816 | − | 1.83175i | −0.0244190 | − | 0.0911330i | ||||
\(405\) | − | 20.1852i | − | 1.00301i | ||||||
\(406\) | 4.23697 | − | 7.58882i | 0.210277 | − | 0.376627i | ||||
\(407\) | 1.01692 | + | 1.01692i | 0.0504068 | + | 0.0504068i | ||||
\(408\) | −11.9533 | − | 6.90126i | −0.591778 | − | 0.341663i | ||||
\(409\) | −0.417418 | − | 0.722990i | −0.0206400 | − | 0.0357495i | 0.855521 | − | 0.517768i | \(-0.173237\pi\) |
−0.876161 | + | 0.482019i | \(0.839904\pi\) | |||||||
\(410\) | −6.97322 | + | 28.1397i | −0.344383 | + | 1.38972i | ||||
\(411\) | 3.41510 | − | 5.91512i | 0.168454 | − | 0.291772i | ||||
\(412\) | − | 0.742755i | − | 0.0365929i | ||||||
\(413\) | −4.08426 | + | 16.1700i | −0.200973 | + | 0.795676i | ||||
\(414\) | 15.1693 | 0.745532 | ||||||||
\(415\) | −3.26875 | − | 1.88721i | −0.160456 | − | 0.0926396i | ||||
\(416\) | 11.5399 | + | 3.09211i | 0.565791 | + | 0.151603i | ||||
\(417\) | 1.56779 | − | 5.85106i | 0.0767749 | − | 0.286528i | ||||
\(418\) | 14.7500 | + | 8.51593i | 0.721448 | + | 0.416528i | ||||
\(419\) | 31.9309i | 1.55993i | 0.625826 | + | 0.779963i | \(0.284762\pi\) | ||||
−0.625826 | + | 0.779963i | \(0.715238\pi\) | |||||||
\(420\) | −1.42950 | − | 2.39567i | −0.0697526 | − | 0.116897i | ||||
\(421\) | −20.4851 | − | 20.4851i | −0.998382 | − | 0.998382i | 0.00161657 | − | 0.999999i | \(-0.499485\pi\) |
−0.999999 | + | 0.00161657i | \(0.999485\pi\) | |||||||
\(422\) | 2.62073 | − | 0.702223i | 0.127575 | − | 0.0341837i | ||||
\(423\) | 2.25049 | − | 8.39893i | 0.109422 | − | 0.408370i | ||||
\(424\) | −37.2704 | − | 9.98657i | −1.81001 | − | 0.484991i | ||||
\(425\) | 15.2731 | + | 56.9998i | 0.740852 | + | 2.76490i | ||||
\(426\) | 3.34693 | 0.162159 | ||||||||
\(427\) | −1.80520 | − | 6.36900i | −0.0873598 | − | 0.308218i | ||||
\(428\) | −0.997004 | −0.0481920 | ||||||||
\(429\) | −2.41135 | − | 8.99930i | −0.116421 | − | 0.434490i | ||||
\(430\) | −3.36995 | + | 1.94564i | −0.162514 | + | 0.0938273i | ||||
\(431\) | −17.5429 | + | 10.1284i | −0.845011 | + | 0.487867i | −0.858964 | − | 0.512035i | \(-0.828892\pi\) |
0.0139534 | + | 0.999903i | \(0.495558\pi\) | |||||||
\(432\) | −2.64683 | − | 9.87811i | −0.127346 | − | 0.475261i | ||||
\(433\) | −3.19537 | −0.153560 | −0.0767800 | − | 0.997048i | \(-0.524464\pi\) | ||||
−0.0767800 | + | 0.997048i | \(0.524464\pi\) | |||||||
\(434\) | 17.1150 | − | 17.6148i | 0.821545 | − | 0.845539i | ||||
\(435\) | −6.11199 | −0.293047 | ||||||||
\(436\) | −0.517660 | − | 1.93193i | −0.0247914 | − | 0.0925229i | ||||
\(437\) | −20.0467 | − | 5.37150i | −0.958963 | − | 0.256953i | ||||
\(438\) | −1.76561 | + | 6.58935i | −0.0843642 | + | 0.314851i | ||||
\(439\) | −26.7899 | + | 7.17833i | −1.27861 | + | 0.342603i | −0.833324 | − | 0.552785i | \(-0.813565\pi\) |
−0.445288 | + | 0.895388i | \(0.646899\pi\) | |||||||
\(440\) | −24.4096 | − | 24.4096i | −1.16368 | − | 1.16368i | ||||
\(441\) | −8.63430 | + | 16.0016i | −0.411157 | + | 0.761982i | ||||
\(442\) | − | 41.9035i | − | 1.99315i | ||||||
\(443\) | −29.1895 | − | 16.8526i | −1.38684 | − | 0.800690i | −0.393879 | − | 0.919163i | \(-0.628867\pi\) |
−0.992957 | + | 0.118472i | \(0.962200\pi\) | |||||||
\(444\) | −0.0346972 | + | 0.129492i | −0.00164666 | + | 0.00614540i | ||||
\(445\) | −32.9859 | − | 8.83855i | −1.56368 | − | 0.418988i | ||||
\(446\) | −30.2458 | − | 17.4624i | −1.43218 | − | 0.826869i | ||||
\(447\) | 2.49458 | 0.117990 | ||||||||
\(448\) | 16.8834 | + | 16.4042i | 0.797664 | + | 0.775028i | ||||
\(449\) | 6.30068i | 0.297348i | 0.988886 | + | 0.148674i | \(0.0475004\pi\) | ||||
−0.988886 | + | 0.148674i | \(0.952500\pi\) | |||||||
\(450\) | −13.3581 | + | 23.1369i | −0.629705 | + | 1.09068i | ||||
\(451\) | 17.0232 | − | 10.2618i | 0.801592 | − | 0.483209i | ||||
\(452\) | −4.02333 | − | 6.96861i | −0.189242 | − | 0.327776i | ||||
\(453\) | −0.493983 | − | 0.285201i | −0.0232093 | − | 0.0133999i | ||||
\(454\) | −13.1233 | − | 13.1233i | −0.615908 | − | 0.615908i | ||||
\(455\) | 22.2328 | − | 39.8211i | 1.04229 | − | 1.86684i | ||||
\(456\) | 8.54939i | 0.400362i | ||||||||
\(457\) | −4.79613 | − | 17.8994i | −0.224353 | − | 0.837298i | −0.982663 | − | 0.185403i | \(-0.940641\pi\) |
0.758309 | − | 0.651895i | \(-0.226026\pi\) | |||||||
\(458\) | 2.01437 | − | 7.51774i | 0.0941255 | − | 0.351281i | ||||
\(459\) | 21.9244 | − | 12.6580i | 1.02334 | − | 0.590827i | ||||
\(460\) | 6.76499 | + | 3.90577i | 0.315419 | + | 0.182107i | ||||
\(461\) | 4.45111 | 0.207309 | 0.103654 | − | 0.994613i | \(-0.466946\pi\) | ||||
0.103654 | + | 0.994613i | \(0.466946\pi\) | |||||||
\(462\) | 1.58552 | − | 6.27724i | 0.0737650 | − | 0.292044i | ||||
\(463\) | 21.8378 | + | 21.8378i | 1.01489 | + | 1.01489i | 0.999887 | + | 0.0150001i | \(0.00477487\pi\) |
0.0150001 | + | 0.999887i | \(0.495225\pi\) | |||||||
\(464\) | 7.35418 | − | 1.97055i | 0.341409 | − | 0.0914803i | ||||
\(465\) | −16.6826 | − | 4.47009i | −0.773638 | − | 0.207296i | ||||
\(466\) | 15.2271 | + | 4.08008i | 0.705380 | + | 0.189006i | ||||
\(467\) | 6.81560 | − | 11.8050i | 0.315388 | − | 0.546268i | −0.664132 | − | 0.747616i | \(-0.731199\pi\) |
0.979520 | + | 0.201347i | \(0.0645320\pi\) | |||||||
\(468\) | −3.96310 | + | 3.96310i | −0.183195 | + | 0.183195i | ||||
\(469\) | −3.58203 | − | 6.00305i | −0.165403 | − | 0.277195i | ||||
\(470\) | −10.7172 | + | 10.7172i | −0.494345 | + | 0.494345i | ||||
\(471\) | 10.5404 | + | 6.08553i | 0.485678 | + | 0.280406i | ||||
\(472\) | −16.6601 | + | 9.61873i | −0.766845 | + | 0.442738i | ||||
\(473\) | 2.57707 | + | 0.690524i | 0.118494 | + | 0.0317503i | ||||
\(474\) | −3.81572 | + | 6.60903i | −0.175262 | + | 0.303563i | ||||
\(475\) | 25.8459 | − | 25.8459i | 1.18589 | − | 1.18589i | ||||
\(476\) | −4.19374 | + | 7.51138i | −0.192220 | + | 0.344284i | ||||
\(477\) | 23.2223 | − | 23.2223i | 1.06327 | − | 1.06327i | ||||
\(478\) | −3.62296 | − | 13.5211i | −0.165710 | − | 0.618439i | ||||
\(479\) | −4.98141 | + | 18.5909i | −0.227607 | + | 0.849440i | 0.753737 | + | 0.657176i | \(0.228249\pi\) |
−0.981343 | + | 0.192263i | \(0.938417\pi\) | |||||||
\(480\) | 1.51104 | − | 5.63929i | 0.0689694 | − | 0.257397i | ||||
\(481\) | −2.11695 | + | 0.567234i | −0.0965245 | + | 0.0258637i | ||||
\(482\) | −28.4560 | −1.29614 | ||||||||
\(483\) | 0.113538 | + | 7.88843i | 0.00516618 | + | 0.358936i | ||||
\(484\) | − | 0.621934i | − | 0.0282697i | ||||||
\(485\) | 0.507214 | − | 0.135907i | 0.0230314 | − | 0.00617124i | ||||
\(486\) | 17.0044 | + | 4.55633i | 0.771337 | + | 0.206679i | ||||
\(487\) | 11.4130 | − | 6.58929i | 0.517172 | − | 0.298589i | −0.218605 | − | 0.975813i | \(-0.570151\pi\) |
0.735777 | + | 0.677224i | \(0.236817\pi\) | |||||||
\(488\) | 3.81793 | − | 6.61285i | 0.172830 | − | 0.299350i | ||||
\(489\) | −5.90194 | − | 5.90194i | −0.266895 | − | 0.266895i | ||||
\(490\) | 26.9798 | − | 16.6300i | 1.21882 | − | 0.751268i | ||||
\(491\) | −25.0261 | −1.12941 | −0.564707 | − | 0.825292i | \(-0.691011\pi\) | ||||
−0.564707 | + | 0.825292i | \(0.691011\pi\) | |||||||
\(492\) | 1.62185 | + | 0.895971i | 0.0731186 | + | 0.0403935i | ||||
\(493\) | 9.42381 | + | 16.3225i | 0.424427 | + | 0.735130i | ||||
\(494\) | −22.4780 | + | 12.9777i | −1.01133 | + | 0.583893i | ||||
\(495\) | 28.3805 | − | 7.60452i | 1.27561 | − | 0.341798i | ||||
\(496\) | 21.5144 | 0.966023 | ||||||||
\(497\) | −0.161663 | − | 11.2321i | −0.00725159 | − | 0.503826i | ||||
\(498\) | 0.577384 | − | 0.577384i | 0.0258732 | − | 0.0258732i | ||||
\(499\) | 34.6514 | − | 9.28482i | 1.55121 | − | 0.415646i | 0.621342 | − | 0.783539i | \(-0.286588\pi\) |
0.929868 | + | 0.367894i | \(0.119921\pi\) | |||||||
\(500\) | −4.71775 | + | 2.72379i | −0.210984 | + | 0.121812i | ||||
\(501\) | 8.75257 | − | 5.05330i | 0.391036 | − | 0.225765i | ||||
\(502\) | −7.52380 | + | 13.0316i | −0.335804 | + | 0.581629i | ||||
\(503\) | 2.81728 | + | 2.81728i | 0.125616 | + | 0.125616i | 0.767120 | − | 0.641504i | \(-0.221689\pi\) |
−0.641504 | + | 0.767120i | \(0.721689\pi\) | |||||||
\(504\) | −20.1781 | + | 5.71920i | −0.898806 | + | 0.254753i | ||||
\(505\) | −10.7127 | − | 10.7127i | −0.476707 | − | 0.476707i | ||||
\(506\) | 4.69208 | + | 17.5111i | 0.208588 | + | 0.778463i | ||||
\(507\) | 5.74774 | + | 1.54010i | 0.255266 | + | 0.0683984i | ||||
\(508\) | 2.59836 | + | 4.50049i | 0.115284 | + | 0.199677i | ||||
\(509\) | 3.60009 | + | 13.4357i | 0.159571 | + | 0.595528i | 0.998670 | + | 0.0515496i | \(0.0164160\pi\) |
−0.839099 | + | 0.543978i | \(0.816917\pi\) | |||||||
\(510\) | −20.4773 | −0.906749 | ||||||||
\(511\) | 22.1987 | + | 5.60699i | 0.982012 | + | 0.248039i | ||||
\(512\) | 24.8493i | 1.09820i | ||||||||
\(513\) | −13.5801 | − | 7.84049i | −0.599577 | − | 0.346166i | ||||
\(514\) | −22.6691 | − | 6.07417i | −0.999891 | − | 0.267920i | ||||
\(515\) | −2.96692 | − | 5.13885i | −0.130738 | − | 0.226445i | ||||
\(516\) | 0.0643688 | + | 0.240228i | 0.00283368 | + | 0.0105754i | ||||
\(517\) | 10.3916 | 0.457023 | ||||||||
\(518\) | −1.47663 | − | 0.372969i | −0.0648792 | − | 0.0163873i | ||||
\(519\) | 5.13611 | − | 5.13611i | 0.225450 | − | 0.225450i | ||||
\(520\) | 50.8142 | − | 13.6156i | 2.22835 | − | 0.597084i | ||||
\(521\) | 8.76369 | − | 32.7065i | 0.383944 | − | 1.43290i | −0.455880 | − | 0.890041i | \(-0.650675\pi\) |
0.839824 | − | 0.542859i | \(-0.182658\pi\) | |||||||
\(522\) | −2.20850 | + | 8.24223i | −0.0966633 | + | 0.360752i | ||||
\(523\) | 4.78119 | − | 8.28127i | 0.209067 | − | 0.362114i | −0.742354 | − | 0.670008i | \(-0.766291\pi\) |
0.951421 | + | 0.307893i | \(0.0996240\pi\) | |||||||
\(524\) | − | 1.56590i | − | 0.0684068i | ||||||
\(525\) | −12.1317 | − | 6.77335i | −0.529472 | − | 0.295613i | ||||
\(526\) | 13.4596 | + | 13.4596i | 0.586866 | + | 0.586866i | ||||
\(527\) | 13.7845 | + | 51.4444i | 0.600462 | + | 2.24096i | ||||
\(528\) | 4.91162 | − | 2.83573i | 0.213751 | − | 0.123409i | ||||
\(529\) | 0.454738 | + | 0.787630i | 0.0197712 | + | 0.0342448i | ||||
\(530\) | −55.2939 | + | 14.8160i | −2.40181 | + | 0.643564i | ||||
\(531\) | − | 16.3737i | − | 0.710559i | ||||||
\(532\) | 5.32809 | − | 0.0766875i | 0.231002 | − | 0.00332482i | ||||
\(533\) | 0.572044 | + | 30.2857i | 0.0247780 | + | 1.31182i | ||||
\(534\) | 3.69389 | − | 6.39801i | 0.159850 | − | 0.276869i | ||||
\(535\) | −6.89791 | + | 3.98251i | −0.298223 | + | 0.172179i | ||||
\(536\) | 2.08696 | − | 7.78863i | 0.0901428 | − | 0.336418i | ||||
\(537\) | −7.31654 | + | 12.6726i | −0.315732 | + | 0.546864i | ||||
\(538\) | 38.0573i | 1.64077i | ||||||||
\(539\) | −21.1426 | − | 5.01769i | −0.910675 | − | 0.216127i | ||||
\(540\) | 4.17346 | + | 4.17346i | 0.179597 | + | 0.179597i | ||||
\(541\) | −30.5524 | − | 17.6394i | −1.31355 | − | 0.758378i | −0.330867 | − | 0.943678i | \(-0.607341\pi\) |
−0.982682 | + | 0.185300i | \(0.940674\pi\) | |||||||
\(542\) | −0.616155 | + | 0.355737i | −0.0264661 | + | 0.0152802i | ||||
\(543\) | −5.91211 | − | 10.2401i | −0.253713 | − | 0.439443i | ||||
\(544\) | −17.3900 | + | 4.65963i | −0.745589 | + | 0.199780i | ||||
\(545\) | −11.2986 | − | 11.2986i | −0.483978 | − | 0.483978i | ||||
\(546\) | 7.07636 | + | 6.87554i | 0.302840 | + | 0.294246i | ||||
\(547\) | 12.4476 | − | 12.4476i | 0.532219 | − | 0.532219i | −0.389013 | − | 0.921232i | \(-0.627184\pi\) |
0.921232 | + | 0.389013i | \(0.127184\pi\) | |||||||
\(548\) | −1.27092 | − | 4.74314i | −0.0542910 | − | 0.202617i | ||||
\(549\) | 3.24958 | + | 5.62844i | 0.138689 | + | 0.240216i | ||||
\(550\) | −30.8404 | − | 8.26367i | −1.31504 | − | 0.352364i | ||||
\(551\) | 5.83719 | − | 10.1103i | 0.248672 | − | 0.430713i | ||||
\(552\) | −6.43469 | + | 6.43469i | −0.273878 | + | 0.273878i | ||||
\(553\) | 22.3637 | + | 12.4861i | 0.951003 | + | 0.530962i | ||||
\(554\) | 12.5004i | 0.531092i | ||||||||
\(555\) | 0.277194 | + | 1.03450i | 0.0117662 | + | 0.0439122i | ||||
\(556\) | −2.17746 | − | 3.77146i | −0.0923447 | − | 0.159946i | ||||
\(557\) | 11.1386 | + | 2.98457i | 0.471957 | + | 0.126460i | 0.486955 | − | 0.873427i | \(-0.338108\pi\) |
−0.0149981 | + | 0.999888i | \(0.504774\pi\) | |||||||
\(558\) | −12.0562 | + | 20.8819i | −0.510378 | + | 0.884000i | ||||
\(559\) | −2.87496 | + | 2.87496i | −0.121598 | + | 0.121598i | ||||
\(560\) | 26.9175 | + | 6.79886i | 1.13747 | + | 0.287304i | ||||
\(561\) | 9.92764 | + | 9.92764i | 0.419145 | + | 0.419145i | ||||
\(562\) | 23.8650 | − | 6.39462i | 1.00669 | − | 0.269741i | ||||
\(563\) | 6.49155 | − | 24.2268i | 0.273586 | − | 1.02104i | −0.683197 | − | 0.730234i | \(-0.739411\pi\) |
0.956783 | − | 0.290803i | \(-0.0939224\pi\) | |||||||
\(564\) | 0.484340 | + | 0.838901i | 0.0203944 | + | 0.0353241i | ||||
\(565\) | −55.6719 | − | 32.1422i | −2.34213 | − | 1.35223i | ||||
\(566\) | 28.3673i | 1.19237i | ||||||||
\(567\) | 3.58916 | − | 14.2099i | 0.150730 | − | 0.596759i | ||||
\(568\) | 9.16212 | − | 9.16212i | 0.384434 | − | 0.384434i | ||||
\(569\) | 13.6163 | + | 7.86139i | 0.570826 | + | 0.329567i | 0.757479 | − | 0.652859i | \(-0.226431\pi\) |
−0.186653 | + | 0.982426i | \(0.559764\pi\) | |||||||
\(570\) | 6.34189 | + | 10.9845i | 0.265633 | + | 0.460089i | ||||
\(571\) | −4.86235 | + | 18.1465i | −0.203483 | + | 0.759409i | 0.786423 | + | 0.617688i | \(0.211930\pi\) |
−0.989907 | + | 0.141722i | \(0.954736\pi\) | |||||||
\(572\) | −5.80075 | − | 3.34906i | −0.242542 | − | 0.140031i | ||||
\(573\) | −10.5695 | −0.441545 | ||||||||
\(574\) | −9.91256 | + | 18.5698i | −0.413742 | + | 0.775088i | ||||
\(575\) | 38.9057 | 1.62248 | ||||||||
\(576\) | −20.0147 | − | 11.5555i | −0.833947 | − | 0.481479i | ||||
\(577\) | 4.98277 | − | 18.5960i | 0.207435 | − | 0.774160i | −0.781258 | − | 0.624208i | \(-0.785422\pi\) |
0.988693 | − | 0.149951i | \(-0.0479117\pi\) | |||||||
\(578\) | 21.0115 | + | 36.3930i | 0.873963 | + | 1.51375i | ||||
\(579\) | −2.34153 | − | 1.35188i | −0.0973106 | − | 0.0561823i | ||||
\(580\) | −3.10710 | + | 3.10710i | −0.129016 | + | 0.129016i | ||||
\(581\) | −1.96555 | − | 1.90977i | −0.0815448 | − | 0.0792307i | ||||
\(582\) | 0.113600i | 0.00470885i | ||||||||
\(583\) | 33.9902 | + | 19.6242i | 1.40773 | + | 0.812752i | ||||
\(584\) | 13.2049 | + | 22.8715i | 0.546421 | + | 0.946429i | ||||
\(585\) | −11.5887 | + | 43.2498i | −0.479136 | + | 1.78816i | ||||
\(586\) | 21.0726 | − | 5.64638i | 0.870500 | − | 0.233250i | ||||
\(587\) | −1.86310 | − | 1.86310i | −0.0768983 | − | 0.0768983i | 0.667611 | − | 0.744510i | \(-0.267317\pi\) |
−0.744510 | + | 0.667611i | \(0.767317\pi\) | |||||||
\(588\) | −0.580357 | − | 1.94068i | −0.0239335 | − | 0.0800322i | ||||
\(589\) | 23.3269 | − | 23.3269i | 0.961167 | − | 0.961167i | ||||
\(590\) | −14.2702 | + | 24.7168i | −0.587496 | + | 1.01757i | ||||
\(591\) | 13.8848 | + | 3.72043i | 0.571145 | + | 0.153038i | ||||
\(592\) | −0.667062 | − | 1.15538i | −0.0274161 | − | 0.0474860i | ||||
\(593\) | 3.48161 | + | 12.9935i | 0.142972 | + | 0.533580i | 0.999837 | + | 0.0180392i | \(0.00574236\pi\) |
−0.856865 | + | 0.515541i | \(0.827591\pi\) | |||||||
\(594\) | 13.6976i | 0.562018i | ||||||||
\(595\) | 0.989094 | + | 68.7203i | 0.0405489 | + | 2.81726i | ||||
\(596\) | 1.26815 | − | 1.26815i | 0.0519455 | − | 0.0519455i | ||||
\(597\) | −4.84670 | + | 8.39473i | −0.198362 | + | 0.343574i | ||||
\(598\) | −26.6857 | − | 7.15040i | −1.09126 | − | 0.292402i | ||||
\(599\) | −8.65241 | − | 14.9864i | −0.353528 | − | 0.612329i | 0.633337 | − | 0.773876i | \(-0.281685\pi\) |
−0.986865 | + | 0.161548i | \(0.948351\pi\) | |||||||
\(600\) | −4.14807 | − | 15.4808i | −0.169344 | − | 0.632001i | ||||
\(601\) | −22.2648 | + | 22.2648i | −0.908198 | + | 0.908198i | −0.996127 | − | 0.0879285i | \(-0.971975\pi\) |
0.0879285 | + | 0.996127i | \(0.471975\pi\) | |||||||
\(602\) | −2.71833 | + | 0.770469i | −0.110791 | + | 0.0314020i | ||||
\(603\) | 4.85291 | + | 4.85291i | 0.197626 | + | 0.197626i | ||||
\(604\) | −0.396108 | + | 0.106137i | −0.0161174 | + | 0.00431865i | ||||
\(605\) | −2.48430 | − | 4.30294i | −0.101001 | − | 0.174939i | ||||
\(606\) | 2.83839 | − | 1.63875i | 0.115302 | − | 0.0665696i | ||||
\(607\) | 0.144221 | + | 0.0832658i | 0.00585373 | + | 0.00337965i | 0.502924 | − | 0.864331i | \(-0.332258\pi\) |
−0.497070 | + | 0.867710i | \(0.665591\pi\) | |||||||
\(608\) | 7.88527 | + | 7.88527i | 0.319790 | + | 0.319790i | ||||
\(609\) | −4.30269 | − | 1.08678i | −0.174354 | − | 0.0440387i | ||||
\(610\) | − | 11.3285i | − | 0.458676i | ||||||
\(611\) | −7.91805 | + | 13.7145i | −0.320330 | + | 0.554828i | ||||
\(612\) | 2.18596 | − | 8.15812i | 0.0883623 | − | 0.329773i | ||||
\(613\) | −12.2191 | + | 7.05470i | −0.493525 | + | 0.284937i | −0.726036 | − | 0.687657i | \(-0.758639\pi\) |
0.232511 | + | 0.972594i | \(0.425306\pi\) | |||||||
\(614\) | −12.3817 | + | 21.4457i | −0.499683 | + | 0.865477i | ||||
\(615\) | 14.7999 | − | 0.279544i | 0.596790 | − | 0.0112723i | ||||
\(616\) | −12.8435 | − | 21.5241i | −0.517478 | − | 0.867231i | ||||
\(617\) | 37.9370i | 1.52729i | 0.645639 | + | 0.763643i | \(0.276591\pi\) | ||||
−0.645639 | + | 0.763643i | \(0.723409\pi\) | |||||||
\(618\) | 1.23996 | − | 0.332247i | 0.0498786 | − | 0.0133649i | ||||
\(619\) | 16.1865 | + | 28.0359i | 0.650592 | + | 1.12686i | 0.982980 | + | 0.183715i | \(0.0588123\pi\) |
−0.332388 | + | 0.943143i | \(0.607854\pi\) | |||||||
\(620\) | −10.7532 | + | 6.20839i | −0.431861 | + | 0.249335i | ||||
\(621\) | −4.31993 | − | 16.1222i | −0.173353 | − | 0.646961i | ||||
\(622\) | 9.00907 | + | 9.00907i | 0.361231 | + | 0.361231i | ||||
\(623\) | −21.6497 | − | 12.0874i | −0.867377 | − | 0.484272i | ||||
\(624\) | 8.64290i | 0.345993i | ||||||||
\(625\) | −1.06598 | + | 1.84633i | −0.0426392 | + | 0.0738533i | ||||
\(626\) | 4.67272 | − | 17.4388i | 0.186759 | − | 0.696995i | ||||
\(627\) | 2.25078 | − | 8.40004i | 0.0898877 | − | 0.335465i | ||||
\(628\) | 8.45202 | − | 2.26471i | 0.337272 | − | 0.0903719i | ||||
\(629\) | 2.33533 | − | 2.33533i | 0.0931155 | − | 0.0931155i | ||||
\(630\) | −21.6829 | + | 22.3162i | −0.863868 | + | 0.889099i | ||||
\(631\) | 14.4288 | 0.574402 | 0.287201 | − | 0.957870i | \(-0.407275\pi\) | ||||
0.287201 | + | 0.957870i | \(0.407275\pi\) | |||||||
\(632\) | 7.64659 | + | 28.5375i | 0.304165 | + | 1.13516i | ||||
\(633\) | −0.692667 | − | 1.19973i | −0.0275310 | − | 0.0476852i | ||||
\(634\) | −5.69265 | − | 1.52534i | −0.226084 | − | 0.0605790i | ||||
\(635\) | 35.9542 | + | 20.7582i | 1.42680 | + | 0.823763i | ||||
\(636\) | 3.65864i | 0.145074i | ||||||||
\(637\) | 22.7320 | − | 24.0799i | 0.900676 | − | 0.954079i | ||||
\(638\) | −10.1977 | −0.403732 | ||||||||
\(639\) | 2.85435 | + | 10.6526i | 0.112916 | + | 0.421409i | ||||
\(640\) | 10.9397 | + | 18.9481i | 0.432429 | + | 0.748990i | ||||
\(641\) | −28.2958 | − | 7.58185i | −1.11762 | − | 0.299465i | −0.347699 | − | 0.937606i | \(-0.613037\pi\) |
−0.769919 | + | 0.638141i | \(0.779704\pi\) | |||||||
\(642\) | −0.445977 | − | 1.66441i | −0.0176013 | − | 0.0656890i | ||||
\(643\) | −22.5768 | − | 22.5768i | −0.890341 | − | 0.890341i | 0.104214 | − | 0.994555i | \(-0.466767\pi\) |
−0.994555 | + | 0.104214i | \(0.966767\pi\) | |||||||
\(644\) | 4.06790 | + | 3.95246i | 0.160298 | + | 0.155749i | ||||
\(645\) | 1.40493 | + | 1.40493i | 0.0553189 | + | 0.0553189i | ||||
\(646\) | 19.5566 | − | 33.8730i | 0.769444 | − | 1.33272i | ||||
\(647\) | 39.8245 | − | 22.9927i | 1.56566 | − | 0.903936i | 0.568997 | − | 0.822340i | \(-0.307332\pi\) |
0.996666 | − | 0.0815957i | \(-0.0260016\pi\) | |||||||
\(648\) | 14.6405 | − | 8.45272i | 0.575135 | − | 0.332054i | ||||
\(649\) | 18.9014 | − | 5.06461i | 0.741945 | − | 0.198804i | ||||
\(650\) | 34.4054 | − | 34.4054i | 1.34949 | − | 1.34949i | ||||
\(651\) | −10.9493 | − | 6.11320i | −0.429138 | − | 0.239595i | ||||
\(652\) | −6.00065 | −0.235004 | ||||||||
\(653\) | 7.62806 | − | 2.04393i | 0.298509 | − | 0.0799853i | −0.106456 | − | 0.994317i | \(-0.533950\pi\) |
0.404965 | + | 0.914332i | \(0.367284\pi\) | |||||||
\(654\) | 2.99363 | − | 1.72837i | 0.117060 | − | 0.0675848i | ||||
\(655\) | −6.25496 | − | 10.8339i | −0.244402 | − | 0.423316i | ||||
\(656\) | −17.7177 | + | 5.10795i | −0.691760 | + | 0.199432i | ||||
\(657\) | −22.4783 | −0.876962 | ||||||||
\(658\) | −9.45025 | + | 5.63898i | −0.368409 | + | 0.219830i | ||||
\(659\) | −16.4187 | − | 16.4187i | −0.639582 | − | 0.639582i | 0.310870 | − | 0.950452i | \(-0.399380\pi\) |
−0.950452 | + | 0.310870i | \(0.899380\pi\) | |||||||
\(660\) | −1.63661 | + | 2.83469i | −0.0637050 | + | 0.110340i | ||||
\(661\) | 20.8425 | − | 12.0334i | 0.810681 | − | 0.468047i | −0.0365115 | − | 0.999333i | \(-0.511625\pi\) |
0.847192 | + | 0.531287i | \(0.178291\pi\) | |||||||
\(662\) | −29.3451 | − | 7.86298i | −1.14053 | − | 0.305604i | ||||
\(663\) | −20.6666 | + | 5.53760i | −0.802625 | + | 0.215063i | ||||
\(664\) | − | 3.16115i | − | 0.122676i | ||||||
\(665\) | 36.5568 | − | 21.8135i | 1.41761 | − | 0.845892i | ||||
\(666\) | 1.49522 | 0.0579388 | ||||||||
\(667\) | 12.0028 | − | 3.21615i | 0.464752 | − | 0.124530i | ||||
\(668\) | 1.88057 | − | 7.01839i | 0.0727615 | − | 0.271550i | ||||
\(669\) | −4.61536 | + | 17.2248i | −0.178440 | + | 0.665948i | ||||
\(670\) | −3.09619 | − | 11.5551i | −0.119616 | − | 0.446413i | ||||
\(671\) | −5.49219 | + | 5.49219i | −0.212023 | + | 0.212023i | ||||
\(672\) | 2.06647 | − | 3.70124i | 0.0797158 | − | 0.142779i | ||||
\(673\) | −15.4202 | + | 15.4202i | −0.594405 | + | 0.594405i | −0.938818 | − | 0.344413i | \(-0.888078\pi\) |
0.344413 | + | 0.938818i | \(0.388078\pi\) | |||||||
\(674\) | 14.5379 | − | 25.1804i | 0.559980 | − | 0.969914i | ||||
\(675\) | 28.3943 | + | 7.60823i | 1.09290 | + | 0.292841i | ||||
\(676\) | 3.70487 | − | 2.13901i | 0.142495 | − | 0.0822695i | ||||
\(677\) | 26.2301 | + | 15.1439i | 1.00810 | + | 0.582029i | 0.910636 | − | 0.413210i | \(-0.135592\pi\) |
0.0974675 | + | 0.995239i | \(0.468926\pi\) | |||||||
\(678\) | 9.83377 | − | 9.83377i | 0.377664 | − | 0.377664i | ||||
\(679\) | 0.381232 | − | 0.00548709i | 0.0146303 | − | 0.000210575i | ||||
\(680\) | −56.0560 | + | 56.0560i | −2.14965 | + | 2.14965i | ||||
\(681\) | −4.73810 | + | 8.20663i | −0.181564 | + | 0.314479i | ||||
\(682\) | −27.8346 | − | 7.45827i | −1.06584 | − | 0.285592i | ||||
\(683\) | 42.8120 | + | 11.4714i | 1.63816 | + | 0.438943i | 0.956263 | − | 0.292509i | \(-0.0944901\pi\) |
0.681893 | + | 0.731452i | \(0.261157\pi\) | |||||||
\(684\) | −5.05321 | + | 1.35400i | −0.193214 | + | 0.0517716i | ||||
\(685\) | −27.7394 | − | 27.7394i | −1.05987 | − | 1.05987i | ||||
\(686\) | 21.9501 | − | 6.90982i | 0.838060 | − | 0.263818i | ||||
\(687\) | −3.97392 | −0.151614 | ||||||||
\(688\) | −2.14342 | − | 1.23750i | −0.0817171 | − | 0.0471794i | ||||
\(689\) | −51.7986 | + | 29.9059i | −1.97337 | + | 1.13933i | ||||
\(690\) | −3.49423 | + | 13.0407i | −0.133023 | + | 0.496449i | ||||
\(691\) | 1.15001 | + | 4.29188i | 0.0437483 | + | 0.163271i | 0.984344 | − | 0.176258i | \(-0.0563992\pi\) |
−0.940596 | + | 0.339528i | \(0.889733\pi\) | |||||||
\(692\) | − | 5.22202i | − | 0.198511i | ||||||
\(693\) | 21.3313 | − | 0.307023i | 0.810310 | − | 0.0116628i | ||||
\(694\) | −30.1667 | − | 30.1667i | −1.14511 | − | 1.14511i | ||||
\(695\) | −30.1300 | − | 17.3956i | −1.14290 | − | 0.659852i | ||||
\(696\) | −2.55945 | − | 4.43310i | −0.0970157 | − | 0.168036i | ||||
\(697\) | −23.5659 | − | 39.0933i | −0.892623 | − | 1.48076i | ||||
\(698\) | −3.07225 | + | 5.32130i | −0.116287 | + | 0.201414i | ||||
\(699\) | − | 8.04911i | − | 0.304445i | ||||||
\(700\) | −9.61063 | + | 2.72399i | −0.363248 | + | 0.102957i | ||||
\(701\) | −0.357806 | −0.0135142 | −0.00675708 | − | 0.999977i | \(-0.502151\pi\) | ||||
−0.00675708 | + | 0.999977i | \(0.502151\pi\) | |||||||
\(702\) | −18.0775 | − | 10.4371i | −0.682292 | − | 0.393922i | ||||
\(703\) | −1.97598 | − | 0.529463i | −0.0745256 | − | 0.0199691i | ||||
\(704\) | 7.14855 | − | 26.6788i | 0.269421 | − | 1.00549i | ||||
\(705\) | 6.70194 | + | 3.86937i | 0.252410 | + | 0.145729i | ||||
\(706\) | 11.8386i | 0.445553i | ||||||||
\(707\) | −5.63662 | − | 9.44630i | −0.211987 | − | 0.355264i | ||||
\(708\) | 1.28983 | + | 1.28983i | 0.0484747 | + | 0.0484747i | ||||
\(709\) | −6.35755 | + | 1.70350i | −0.238763 | + | 0.0639763i | −0.376216 | − | 0.926532i | \(-0.622775\pi\) |
0.137453 | + | 0.990508i | \(0.456108\pi\) | |||||||
\(710\) | 4.97532 | − | 18.5681i | 0.186720 | − | 0.696850i | ||||
\(711\) | −24.2893 | − | 6.50830i | −0.910920 | − | 0.244080i | ||||
\(712\) | −7.40245 | − | 27.6263i | −0.277419 | − | 1.03534i | ||||
\(713\) | 35.1139 | 1.31502 | ||||||||
\(714\) | −14.4155 | − | 3.64110i | −0.539487 | − | 0.136265i | ||||
\(715\) | −53.5110 | −2.00120 | ||||||||
\(716\) | 2.72283 | + | 10.1617i | 0.101757 | + | 0.379762i | ||||
\(717\) | −6.18975 | + | 3.57365i | −0.231160 | + | 0.133461i | ||||
\(718\) | 31.1367 | − | 17.9768i | 1.16201 | − | 0.670887i | ||||
\(719\) | 6.05200 | + | 22.5864i | 0.225702 | + | 0.842330i | 0.982122 | + | 0.188244i | \(0.0602797\pi\) |
−0.756421 | + | 0.654086i | \(0.773054\pi\) | |||||||
\(720\) | −27.2565 | −1.01579 | ||||||||
\(721\) | −1.17489 | − | 4.14518i | −0.0437552 | − | 0.154375i | ||||
\(722\) | −0.618890 | −0.0230327 | ||||||||
\(723\) | 3.76051 | + | 14.0344i | 0.139855 | + | 0.521945i | ||||
\(724\) | −8.21116 | − | 2.20017i | −0.305165 | − | 0.0817688i | ||||
\(725\) | −5.66427 | + | 21.1393i | −0.210366 | + | 0.785096i | ||||
\(726\) | 1.03826 | − | 0.278202i | 0.0385336 | − | 0.0103250i | ||||
\(727\) | −16.1360 | − | 16.1360i | −0.598451 | − | 0.598451i | 0.341449 | − | 0.939900i | \(-0.389082\pi\) |
−0.939900 | + | 0.341449i | \(0.889082\pi\) | |||||||
\(728\) | 38.1930 | − | 0.549713i | 1.41553 | − | 0.0203737i | ||||
\(729\) | 7.62986i | 0.282587i | ||||||||
\(730\) | 33.9319 | + | 19.5906i | 1.25588 | + | 0.725080i | ||||
\(731\) | 1.58577 | − | 5.91816i | 0.0586517 | − | 0.218891i | ||||
\(732\) | −0.699360 | − | 0.187393i | −0.0258491 | − | 0.00692624i | ||||
\(733\) | 25.9207 | + | 14.9653i | 0.957403 | + | 0.552757i | 0.895373 | − | 0.445317i | \(-0.146909\pi\) |
0.0620303 | + | 0.998074i | \(0.480242\pi\) | |||||||
\(734\) | 21.9585 | 0.810504 | ||||||||
\(735\) | −11.7673 | − | 11.1086i | −0.434042 | − | 0.409748i | ||||
\(736\) | 11.8697i | 0.437522i | ||||||||
\(737\) | −4.10100 | + | 7.10314i | −0.151062 | + | 0.261648i | ||||
\(738\) | 4.97081 | − | 20.0592i | 0.182978 | − | 0.738390i | ||||
\(739\) | 13.9686 | + | 24.1943i | 0.513842 | + | 0.890000i | 0.999871 | + | 0.0160575i | \(0.00511147\pi\) |
−0.486029 | + | 0.873942i | \(0.661555\pi\) | |||||||
\(740\) | 0.666818 | + | 0.384987i | 0.0245127 | + | 0.0141524i | ||||
\(741\) | 9.37103 | + | 9.37103i | 0.344254 | + | 0.344254i | ||||
\(742\) | −41.5600 | + | 0.598175i | −1.52572 | + | 0.0219597i | ||||
\(743\) | 17.3032i | 0.634793i | 0.948293 | + | 0.317397i | \(0.102809\pi\) | ||||
−0.948293 | + | 0.317397i | \(0.897191\pi\) | |||||||
\(744\) | −3.74379 | − | 13.9720i | −0.137254 | − | 0.512238i | ||||
\(745\) | 3.70828 | − | 13.8395i | 0.135861 | − | 0.507040i | ||||
\(746\) | −5.57910 | + | 3.22109i | −0.204265 | + | 0.117933i | ||||
\(747\) | 2.33010 | + | 1.34529i | 0.0852540 | + | 0.0492214i | ||||
\(748\) | 10.0937 | 0.369061 | ||||||||
\(749\) | −5.56410 | + | 1.57706i | −0.203308 | + | 0.0576246i | ||||
\(750\) | −6.65746 | − | 6.65746i | −0.243096 | − | 0.243096i | ||||
\(751\) | 5.34658 | − | 1.43261i | 0.195100 | − | 0.0522768i | −0.159946 | − | 0.987126i | \(-0.551132\pi\) |
0.355046 | + | 0.934849i | \(0.384465\pi\) | |||||||
\(752\) | −9.31154 | − | 2.49502i | −0.339557 | − | 0.0909840i | ||||
\(753\) | 7.42141 | + | 1.98856i | 0.270451 | + | 0.0724672i | ||||
\(754\) | 7.77031 | − | 13.4586i | 0.282978 | − | 0.490132i | ||||
\(755\) | −2.31657 | + | 2.31657i | −0.0843085 | + | 0.0843085i | ||||
\(756\) | 2.19592 | + | 3.68010i | 0.0798650 | + | 0.133844i | ||||
\(757\) | 5.95540 | − | 5.95540i | 0.216453 | − | 0.216453i | −0.590549 | − | 0.807002i | \(-0.701089\pi\) |
0.807002 | + | 0.590549i | \(0.201089\pi\) | |||||||
\(758\) | −5.99094 | − | 3.45887i | −0.217601 | − | 0.125632i | ||||
\(759\) | 8.01633 | − | 4.62823i | 0.290974 | − | 0.167994i | ||||
\(760\) | 47.4305 | + | 12.7090i | 1.72048 | + | 0.461002i | ||||
\(761\) | 14.3840 | − | 24.9139i | 0.521421 | − | 0.903128i | −0.478268 | − | 0.878214i | \(-0.658735\pi\) |
0.999690 | − | 0.0249144i | \(-0.00793133\pi\) | |||||||
\(762\) | −6.35088 | + | 6.35088i | −0.230068 | + | 0.230068i | ||||
\(763\) | −5.94490 | − | 9.96294i | −0.215220 | − | 0.360683i | ||||
\(764\) | −5.37311 | + | 5.37311i | −0.194392 | + | 0.194392i | ||||
\(765\) | −17.4636 | − | 65.1749i | −0.631396 | − | 2.35640i | ||||
\(766\) | −2.98823 | + | 11.1522i | −0.107969 | + | 0.402947i | ||||
\(767\) | −7.71811 | + | 28.8044i | −0.278685 | + | 1.04007i | ||||
\(768\) | 6.33285 | − | 1.69688i | 0.228517 | − | 0.0612309i | ||||
\(769\) | −3.75930 | −0.135564 | −0.0677819 | − | 0.997700i | \(-0.521592\pi\) | ||||
−0.0677819 | + | 0.997700i | \(0.521592\pi\) | |||||||
\(770\) | −32.4681 | − | 18.1275i | −1.17007 | − | 0.653270i | ||||
\(771\) | 11.9830i | 0.431558i | ||||||||
\(772\) | −1.87759 | + | 0.503099i | −0.0675760 | + | 0.0181069i | ||||
\(773\) | −11.4140 | − | 3.05837i | −0.410532 | − | 0.110002i | 0.0476413 | − | 0.998865i | \(-0.484830\pi\) |
−0.458174 | + | 0.888863i | \(0.651496\pi\) | |||||||
\(774\) | 2.40225 | − | 1.38694i | 0.0863470 | − | 0.0498525i | ||||
\(775\) | −30.9212 | + | 53.5570i | −1.11072 | + | 1.92383i | ||||
\(776\) | 0.310976 | + | 0.310976i | 0.0111634 | + | 0.0111634i | ||||
\(777\) | 0.0111914 | + | 0.777554i | 0.000401488 | + | 0.0278946i | ||||
\(778\) | 6.25334 | 0.224193 | ||||||||
\(779\) | −13.6721 | + | 24.7486i | −0.489853 | + | 0.886712i | ||||
\(780\) | −2.49408 | − | 4.31987i | −0.0893023 | − | 0.154676i | ||||
\(781\) | −11.4142 | + | 6.58997i | −0.408431 | + | 0.235808i | ||||
\(782\) | 40.2137 | − | 10.7752i | 1.43804 | − | 0.385321i | ||||
\(783\) | 9.38890 | 0.335532 | ||||||||
\(784\) | 17.7403 | + | 9.57248i | 0.633583 | + | 0.341874i | ||||
\(785\) | 49.4301 | − | 49.4301i | 1.76424 | − | 1.76424i | ||||
\(786\) | 2.61413 | − | 0.700455i | 0.0932431 | − | 0.0249844i | ||||
\(787\) | −19.4590 | + | 11.2347i | −0.693640 | + | 0.400473i | −0.804974 | − | 0.593310i | \(-0.797821\pi\) |
0.111334 | + | 0.993783i | \(0.464488\pi\) | |||||||
\(788\) | 8.94985 | − | 5.16720i | 0.318825 | − | 0.184074i | ||||
\(789\) | 4.85950 | − | 8.41691i | 0.173003 | − | 0.299650i | ||||
\(790\) | 30.9935 | + | 30.9935i | 1.10270 | + | 1.10270i | ||||
\(791\) | −33.4764 | − | 32.5264i | −1.19028 | − | 1.15651i | ||||
\(792\) | 17.4002 | + | 17.4002i | 0.618290 | + | 0.618290i | ||||
\(793\) | −3.06352 | − | 11.4332i | −0.108789 | − | 0.406006i | ||||
\(794\) | 17.0865 | + | 4.57831i | 0.606377 | + | 0.162478i | ||||
\(795\) | 14.6143 | + | 25.3128i | 0.518317 | + | 0.897751i | ||||
\(796\) | 1.80369 | + | 6.73145i | 0.0639300 | + | 0.238590i | ||||
\(797\) | 20.4862 | 0.725659 | 0.362830 | − | 0.931856i | \(-0.381811\pi\) | ||||
0.362830 | + | 0.931856i | \(0.381811\pi\) | |||||||
\(798\) | 2.51137 | + | 8.86047i | 0.0889016 | + | 0.313657i | ||||
\(799\) | − | 23.8640i | − | 0.844249i | ||||||
\(800\) | −18.1041 | − | 10.4524i | −0.640076 | − | 0.369548i | ||||
\(801\) | 23.5138 | + | 6.30050i | 0.830819 | + | 0.222617i | ||||
\(802\) | 21.7784 | + | 37.7212i | 0.769020 | + | 1.33198i | ||||
\(803\) | −6.95284 | − | 25.9484i | −0.245361 | − | 0.915698i | ||||
\(804\) | −0.764569 | −0.0269643 | ||||||||
\(805\) | 43.9323 | + | 11.0965i | 1.54841 | + | 0.391101i | ||||
\(806\) | 31.0521 | − | 31.0521i | 1.09376 | − | 1.09376i | ||||
\(807\) | 18.7697 | − | 5.02933i | 0.660725 | − | 0.177041i | ||||
\(808\) | 3.28400 | − | 12.2561i | 0.115531 | − | 0.431166i | ||||
\(809\) | 2.64283 | − | 9.86318i | 0.0929170 | − | 0.346771i | −0.903778 | − | 0.428001i | \(-0.859218\pi\) |
0.996695 | + | 0.0812297i | \(0.0258847\pi\) | |||||||
\(810\) | 12.5404 | − | 21.7205i | 0.440623 | − | 0.763182i | ||||
\(811\) | − | 42.3672i | − | 1.48771i | −0.668339 | − | 0.743857i | \(-0.732994\pi\) | ||
0.668339 | − | 0.743857i | \(-0.267006\pi\) | |||||||
\(812\) | −2.73981 | + | 1.63485i | −0.0961484 | + | 0.0573719i | ||||
\(813\) | 0.256874 | + | 0.256874i | 0.00900896 | + | 0.00900896i | ||||
\(814\) | 0.462493 | + | 1.72605i | 0.0162104 | + | 0.0604980i | ||||
\(815\) | −41.5163 | + | 23.9694i | −1.45425 | + | 0.839613i | ||||
\(816\) | −6.51216 | − | 11.2794i | −0.227971 | − | 0.394858i | ||||
\(817\) | −3.66576 | + | 0.982237i | −0.128249 | + | 0.0343641i | ||||
\(818\) | − | 1.03731i | − | 0.0362688i | ||||||
\(819\) | −15.8485 | + | 28.3862i | −0.553792 | + | 0.991894i | ||||
\(820\) | 7.38162 | − | 7.66584i | 0.257777 | − | 0.267703i | ||||
\(821\) | −24.7614 | + | 42.8880i | −0.864179 | + | 1.49680i | 0.00368135 | + | 0.999993i | \(0.498828\pi\) |
−0.867860 | + | 0.496808i | \(0.834505\pi\) | |||||||
\(822\) | 7.34974 | − | 4.24337i | 0.256351 | − | 0.148005i | ||||
\(823\) | −3.78158 | + | 14.1131i | −0.131818 | + | 0.491950i | −0.999991 | − | 0.00431144i | \(-0.998628\pi\) |
0.868173 | + | 0.496262i | \(0.165294\pi\) | |||||||
\(824\) | 2.48485 | − | 4.30388i | 0.0865637 | − | 0.149933i | ||||
\(825\) | 16.3024i | 0.567577i | ||||||||
\(826\) | −14.4408 | + | 14.8626i | −0.502461 | + | 0.517136i | ||||
\(827\) | 6.22077 | + | 6.22077i | 0.216317 | + | 0.216317i | 0.806945 | − | 0.590627i | \(-0.201120\pi\) |
−0.590627 | + | 0.806945i | \(0.701120\pi\) | |||||||
\(828\) | −4.82237 | − | 2.78420i | −0.167589 | − | 0.0967576i | ||||
\(829\) | −28.5467 | + | 16.4815i | −0.991468 | + | 0.572425i | −0.905713 | − | 0.423892i | \(-0.860664\pi\) |
−0.0857555 | + | 0.996316i | \(0.527330\pi\) | |||||||
\(830\) | −2.34492 | − | 4.06152i | −0.0813934 | − | 0.140978i | ||||
\(831\) | 6.16516 | − | 1.65195i | 0.213867 | − | 0.0573055i | ||||
\(832\) | 29.7627 | + | 29.7627i | 1.03183 | + | 1.03183i | ||||
\(833\) | −11.5230 | + | 48.5533i | −0.399247 | + | 1.68227i | ||||
\(834\) | 5.32211 | − | 5.32211i | 0.184290 | − | 0.184290i | ||||
\(835\) | −15.0238 | − | 56.0696i | −0.519920 | − | 1.94037i | ||||
\(836\) | −3.12605 | − | 5.41448i | −0.108117 | − | 0.187264i | ||||
\(837\) | 25.6269 | + | 6.86672i | 0.885796 | + | 0.237348i | ||||
\(838\) | −19.8376 | + | 34.3597i | −0.685278 | + | 1.18694i | ||||
\(839\) | 10.5866 | − | 10.5866i | 0.365490 | − | 0.365490i | −0.500339 | − | 0.865829i | \(-0.666791\pi\) |
0.865829 | + | 0.500339i | \(0.166791\pi\) | |||||||
\(840\) | −0.268632 | − | 18.6640i | −0.00926868 | − | 0.643970i | ||||
\(841\) | − | 22.0100i | − | 0.758967i | ||||||
\(842\) | −9.31659 | − | 34.7700i | −0.321071 | − | 1.19825i | ||||
\(843\) | −6.30760 | − | 10.9251i | −0.217245 | − | 0.376280i | ||||
\(844\) | −0.962026 | − | 0.257774i | −0.0331143 | − | 0.00887295i | ||||
\(845\) | 17.0884 | − | 29.5980i | 0.587859 | − | 1.01820i | ||||
\(846\) | 7.63964 | − | 7.63964i | 0.262656 | − | 0.262656i | ||||
\(847\) | −0.983776 | − | 3.47090i | −0.0338029 | − | 0.119262i | ||||
\(848\) | −25.7455 | − | 25.7455i | −0.884105 | − | 0.884105i | ||||
\(849\) | 13.9906 | − | 3.74878i | 0.480157 | − | 0.128658i | ||||
\(850\) | −18.9773 | + | 70.8241i | −0.650915 | + | 2.42925i | ||||
\(851\) | −1.08872 | − | 1.88572i | −0.0373208 | − | 0.0646416i | ||||
\(852\) | −1.06400 | − | 0.614300i | −0.0364520 | − | 0.0210456i | ||||
\(853\) | − | 18.0908i | − | 0.619418i | −0.950831 | − | 0.309709i | \(-0.899768\pi\) | ||
0.950831 | − | 0.309709i | \(-0.100232\pi\) | |||||||
\(854\) | 2.01433 | − | 7.97497i | 0.0689291 | − | 0.272898i | ||||
\(855\) | −29.5528 | + | 29.5528i | −1.01068 | + | 1.01068i | ||||
\(856\) | −5.77713 | − | 3.33543i | −0.197458 | − | 0.114003i | ||||
\(857\) | −23.5206 | − | 40.7388i | −0.803447 | − | 1.39161i | −0.917334 | − | 0.398117i | \(-0.869664\pi\) |
0.113887 | − | 0.993494i | \(-0.463670\pi\) | |||||||
\(858\) | 2.99619 | − | 11.1819i | 0.102288 | − | 0.381745i | ||||
\(859\) | 4.44857 | + | 2.56838i | 0.151783 | + | 0.0876321i | 0.573968 | − | 0.818878i | \(-0.305403\pi\) |
−0.422185 | + | 0.906510i | \(0.638737\pi\) | |||||||
\(860\) | 1.42842 | 0.0487089 | ||||||||
\(861\) | 10.4685 | + | 2.43481i | 0.356765 | + | 0.0829780i | ||||
\(862\) | −25.1697 | −0.857284 | ||||||||
\(863\) | −28.8889 | − | 16.6790i | −0.983388 | − | 0.567760i | −0.0800970 | − | 0.996787i | \(-0.525523\pi\) |
−0.903291 | + | 0.429028i | \(0.858856\pi\) | |||||||
\(864\) | −2.32118 | + | 8.66277i | −0.0789682 | + | 0.294714i | ||||
\(865\) | −20.8592 | − | 36.1292i | −0.709235 | − | 1.22843i | ||||
\(866\) | −3.43843 | − | 1.98518i | −0.116843 | − | 0.0674591i | ||||
\(867\) | 15.1722 | − | 15.1722i | 0.515274 | − | 0.515274i | ||||
\(868\) | −8.67395 | + | 2.45850i | −0.294413 | + | 0.0834471i | ||||
\(869\) | − | 30.0520i | − | 1.01945i | ||||||
\(870\) | −6.57689 | − | 3.79717i | −0.222978 | − | 0.128736i | ||||
\(871\) | −6.24963 | − | 10.8247i | −0.211761 | − | 0.366780i | ||||
\(872\) | 3.46361 | − | 12.9264i | 0.117293 | − | 0.437742i | ||||
\(873\) | −0.361564 | + | 0.0968807i | −0.0122371 | + | 0.00327891i | ||||
\(874\) | −18.2344 | − | 18.2344i | −0.616788 | − | 0.616788i | ||||
\(875\) | −22.0204 | + | 22.6635i | −0.744426 | + | 0.766168i | ||||
\(876\) | 1.77071 | − | 1.77071i | 0.0598268 | − | 0.0598268i | ||||
\(877\) | −13.3048 | + | 23.0445i | −0.449270 | + | 0.778158i | −0.998339 | − | 0.0576192i | \(-0.981649\pi\) |
0.549069 | + | 0.835777i | \(0.314982\pi\) | |||||||
\(878\) | −33.2873 | − | 8.91931i | −1.12339 | − | 0.301012i | ||||
\(879\) | −5.56954 | − | 9.64672i | −0.187856 | − | 0.325376i | ||||
\(880\) | −8.43081 | − | 31.4642i | −0.284202 | − | 1.06066i | ||||
\(881\) | 16.6999i | 0.562635i | 0.959615 | + | 0.281318i | \(0.0907714\pi\) | ||||
−0.959615 | + | 0.281318i | \(0.909229\pi\) | |||||||
\(882\) | −19.2323 | + | 11.8546i | −0.647586 | + | 0.399165i | ||||
\(883\) | −24.9439 | + | 24.9439i | −0.839428 | + | 0.839428i | −0.988784 | − | 0.149356i | \(-0.952280\pi\) |
0.149356 | + | 0.988784i | \(0.452280\pi\) | |||||||
\(884\) | −7.69103 | + | 13.3212i | −0.258677 | + | 0.448042i | ||||
\(885\) | 14.0760 | + | 3.77166i | 0.473161 | + | 0.126783i | ||||
\(886\) | −20.9399 | − | 36.2689i | −0.703489 | − | 1.21848i | ||||
\(887\) | −3.38125 | − | 12.6190i | −0.113531 | − | 0.423705i | 0.885641 | − | 0.464370i | \(-0.153719\pi\) |
−0.999173 | + | 0.0406648i | \(0.987052\pi\) | |||||||
\(888\) | −0.634260 | + | 0.634260i | −0.0212844 | + | 0.0212844i | ||||
\(889\) | 21.6199 | + | 21.0063i | 0.725107 | + | 0.704530i | ||||
\(890\) | −30.0039 | − | 30.0039i | −1.00573 | − | 1.00573i | ||||
\(891\) | −16.6101 | + | 4.45067i | −0.556460 | + | 0.149103i | ||||
\(892\) | 6.41015 | + | 11.1027i | 0.214628 | + | 0.371746i | ||||
\(893\) | −12.8012 | + | 7.39079i | −0.428377 | + | 0.247323i | ||||
\(894\) | 2.68433 | + | 1.54980i | 0.0897775 | + | 0.0518331i | ||||
\(895\) | 59.4291 | + | 59.4291i | 1.98649 | + | 1.98649i | ||||
\(896\) | 4.33209 | + | 15.2842i | 0.144725 | + | 0.510610i | ||||
\(897\) | 14.1062i | 0.470992i | ||||||||
\(898\) | −3.91440 | + | 6.77994i | −0.130625 | + | 0.226250i | ||||
\(899\) | −5.11222 | + | 19.0790i | −0.170502 | + | 0.636322i | ||||
\(900\) | 8.49314 | − | 4.90352i | 0.283105 | − | 0.163451i | ||||
\(901\) | 45.0664 | − | 78.0574i | 1.50138 | − | 2.60047i | ||||
\(902\) | 24.6934 | − | 0.466415i | 0.822200 | − | 0.0155299i | ||||
\(903\) | 0.739222 | + | 1.23885i | 0.0245998 | + | 0.0412263i | ||||
\(904\) | − | 53.8394i | − | 1.79067i | ||||||
\(905\) | −65.5986 | + | 17.5771i | −2.18057 | + | 0.584282i | ||||
\(906\) | −0.354372 | − | 0.613790i | −0.0117732 | − | 0.0203918i | ||||
\(907\) | 46.3611 | − | 26.7666i | 1.53939 | − | 0.888770i | 0.540520 | − | 0.841331i | \(-0.318228\pi\) |
0.998874 | − | 0.0474385i | \(-0.0151058\pi\) | |||||||
\(908\) | 1.76327 | + | 6.58062i | 0.0585162 | + | 0.218385i | ||||
\(909\) | 7.63645 | + | 7.63645i | 0.253285 | + | 0.253285i | ||||
\(910\) | 48.6635 | − | 29.0376i | 1.61318 | − | 0.962587i | ||||
\(911\) | 32.5159i | 1.07730i | 0.842530 | + | 0.538650i | \(0.181065\pi\) | ||||
−0.842530 | + | 0.538650i | \(0.818935\pi\) | |||||||
\(912\) | −4.03369 | + | 6.98655i | −0.133569 | + | 0.231348i | ||||
\(913\) | −0.832230 | + | 3.10593i | −0.0275428 | + | 0.102791i | ||||
\(914\) | 5.95934 | − | 22.2406i | 0.197118 | − | 0.735653i | ||||
\(915\) | −5.58715 | + | 1.49707i | −0.184706 | + | 0.0494917i | ||||
\(916\) | −2.02019 | + | 2.02019i | −0.0667490 | + | 0.0667490i | ||||
\(917\) | −2.47695 | − | 8.73902i | −0.0817960 | − | 0.288588i | ||||
\(918\) | 31.4561 | 1.03820 | ||||||||
\(919\) | 9.60810 | + | 35.8579i | 0.316942 | + | 1.18284i | 0.922168 | + | 0.386790i | \(0.126416\pi\) |
−0.605226 | + | 0.796054i | \(0.706917\pi\) | |||||||
\(920\) | 26.1331 | + | 45.2638i | 0.861582 | + | 1.49230i | ||||
\(921\) | 12.2132 | + | 3.27251i | 0.402438 | + | 0.107833i | ||||
\(922\) | 4.78969 | + | 2.76533i | 0.157740 | + | 0.0910712i | ||||
\(923\) | − | 20.0853i | − | 0.661116i | ||||||
\(924\) | −1.65618 | + | 1.70455i | −0.0544842 | + | 0.0560755i | ||||
\(925\) | 3.83489 | 0.126091 | ||||||||
\(926\) | 9.93179 | + | 37.0659i | 0.326379 | + | 1.21806i | ||||
\(927\) | 2.11494 | + | 3.66319i | 0.0694639 | + | 0.120315i | ||||
\(928\) | −6.44937 | − | 1.72810i | −0.211711 | − | 0.0567277i | ||||
\(929\) | −3.32608 | − | 12.4131i | −0.109125 | − | 0.407260i | 0.889655 | − | 0.456633i | \(-0.150945\pi\) |
−0.998780 | + | 0.0493723i | \(0.984278\pi\) | |||||||
\(930\) | −15.1745 | − | 15.1745i | −0.497590 | − | 0.497590i | ||||
\(931\) | 29.6138 | − | 8.85596i | 0.970554 | − | 0.290242i | ||||
\(932\) | −4.09186 | − | 4.09186i | −0.134033 | − | 0.134033i | ||||
\(933\) | 3.25267 | − | 5.63380i | 0.106488 | − | 0.184442i | ||||
\(934\) | 14.6680 | − | 8.46860i | 0.479953 | − | 0.277101i | ||||
\(935\) | 69.8345 | − | 40.3190i | 2.28383 | − | 1.31857i | ||||
\(936\) | −36.2225 | + | 9.70579i | −1.18397 | + | 0.317244i | ||||
\(937\) | 9.10212 | − | 9.10212i | 0.297353 | − | 0.297353i | −0.542623 | − | 0.839976i | \(-0.682569\pi\) |
0.839976 | + | 0.542623i | \(0.182569\pi\) | |||||||
\(938\) | −0.125005 | − | 8.68507i | −0.00408154 | − | 0.283578i | ||||
\(939\) | −9.21825 | −0.300826 | ||||||||
\(940\) | 5.37405 | − | 1.43997i | 0.175282 | − | 0.0469668i | ||||
\(941\) | 2.43784 | − | 1.40749i | 0.0794715 | − | 0.0458829i | −0.459738 | − | 0.888055i | \(-0.652057\pi\) |
0.539209 | + | 0.842172i | \(0.318723\pi\) | |||||||
\(942\) | 7.56147 | + | 13.0968i | 0.246366 | + | 0.426718i | ||||
\(943\) | −28.9173 | + | 8.33676i | −0.941677 | + | 0.271482i | ||||
\(944\) | −18.1528 | −0.590825 | ||||||||
\(945\) | 29.8929 | + | 16.6897i | 0.972415 | + | 0.542917i | ||||
\(946\) | 2.34409 | + | 2.34409i | 0.0762131 | + | 0.0762131i | ||||
\(947\) | 25.2957 | − | 43.8134i | 0.821999 | − | 1.42374i | −0.0821930 | − | 0.996616i | \(-0.526192\pi\) |
0.904192 | − | 0.427127i | \(-0.140474\pi\) | |||||||
\(948\) | 2.42606 | − | 1.40069i | 0.0787947 | − | 0.0454922i | ||||
\(949\) | 39.5435 | + | 10.5956i | 1.28364 | + | 0.343949i | ||||
\(950\) | 43.8690 | − | 11.7547i | 1.42330 | − | 0.381372i | ||||
\(951\) | 3.00916i | 0.0975788i | ||||||||
\(952\) | −49.4295 | + | 29.4947i | −1.60202 | + | 0.955927i | ||||
\(953\) | −31.5287 | −1.02131 | −0.510657 | − | 0.859785i | \(-0.670598\pi\) | ||||
−0.510657 | + | 0.859785i | \(0.670598\pi\) | |||||||
\(954\) | 39.4159 | − | 10.5615i | 1.27614 | − | 0.341940i | ||||
\(955\) | −15.7118 | + | 58.6374i | −0.508423 | + | 1.89746i | ||||
\(956\) | −1.32992 | + | 4.96335i | −0.0430128 | + | 0.160526i | ||||
\(957\) | 1.34764 | + | 5.02948i | 0.0435632 | + | 0.162580i | ||||
\(958\) | −16.9102 | + | 16.9102i | −0.546344 | + | 0.546344i | ||||
\(959\) | −14.5955 | − | 24.4602i | −0.471312 | − | 0.789862i | ||||
\(960\) | 14.5443 | − | 14.5443i | 0.469416 | − | 0.469416i | ||||
\(961\) | −12.4075 | + | 21.4904i | −0.400242 | + | 0.693239i | ||||
\(962\) | −2.63038 | − | 0.704807i | −0.0848067 | − | 0.0227239i | ||||
\(963\) | 4.91713 | − | 2.83890i | 0.158452 | − | 0.0914824i | ||||
\(964\) | 9.04626 | + | 5.22286i | 0.291360 | + | 0.168217i | ||||
\(965\) | −10.9808 | + | 10.9808i | −0.353483 | + | 0.353483i | ||||
\(966\) | −4.77864 | + | 8.55900i | −0.153750 | + | 0.275381i | ||||
\(967\) | −15.7131 | + | 15.7131i | −0.505301 | + | 0.505301i | −0.913080 | − | 0.407780i | \(-0.866303\pi\) |
0.407780 | + | 0.913080i | \(0.366303\pi\) | |||||||
\(968\) | 2.08065 | − | 3.60379i | 0.0668746 | − | 0.115830i | ||||
\(969\) | −19.2904 | − | 5.16886i | −0.619698 | − | 0.166048i | ||||
\(970\) | 0.630229 | + | 0.168869i | 0.0202354 | + | 0.00542207i | ||||
\(971\) | −0.350931 | + | 0.0940316i | −0.0112619 | + | 0.00301762i | −0.264446 | − | 0.964401i | \(-0.585189\pi\) |
0.253184 | + | 0.967418i | \(0.418522\pi\) | |||||||
\(972\) | −4.56949 | − | 4.56949i | −0.146566 | − | 0.146566i | ||||
\(973\) | −18.1177 | − | 17.6036i | −0.580826 | − | 0.564344i | ||||
\(974\) | 16.3748 | 0.524683 | ||||||||
\(975\) | −21.5153 | − | 12.4219i | −0.689041 | − | 0.397818i | ||||
\(976\) | 6.24001 | − | 3.60267i | 0.199738 | − | 0.115319i | ||||
\(977\) | −1.80454 | + | 6.73464i | −0.0577324 | + | 0.215460i | −0.988766 | − | 0.149474i | \(-0.952242\pi\) |
0.931033 | + | 0.364934i | \(0.118909\pi\) | |||||||
\(978\) | −2.68419 | − | 10.0175i | −0.0858310 | − | 0.320326i | ||||
\(979\) | 29.0925i | 0.929802i | ||||||||
\(980\) | −11.6292 | + | 0.334830i | −0.371483 | + | 0.0106957i | ||||
\(981\) | 8.05410 | + | 8.05410i | 0.257148 | + | 0.257148i | ||||
\(982\) | −26.9297 | − | 15.5479i | −0.859363 | − | 0.496153i | ||||
\(983\) | −3.48087 | − | 6.02904i | −0.111022 | − | 0.192297i | 0.805160 | − | 0.593057i | \(-0.202079\pi\) |
−0.916183 | + | 0.400761i | \(0.868746\pi\) | |||||||
\(984\) | 6.40036 | + | 10.6175i | 0.204036 | + | 0.338474i | ||||
\(985\) | 41.2805 | − | 71.4999i | 1.31531 | − | 2.27818i | ||||
\(986\) | 23.4188i | 0.745806i | ||||||||
\(987\) | 4.02998 | + | 3.91562i | 0.128276 | + | 0.124636i | ||||
\(988\) | 9.52776 | 0.303119 | ||||||||
\(989\) | −3.49830 | − | 2.01975i | −0.111240 | − | 0.0642242i | ||||
\(990\) | 35.2636 | + | 9.44886i | 1.12075 | + | 0.300305i | ||||
\(991\) | −6.87354 | + | 25.6524i | −0.218345 | + | 0.814875i | 0.766617 | + | 0.642105i | \(0.221939\pi\) |
−0.984962 | + | 0.172770i | \(0.944728\pi\) | |||||||
\(992\) | −16.3396 | − | 9.43368i | −0.518783 | − | 0.299520i | ||||
\(993\) | 15.5120i | 0.492257i | ||||||||
\(994\) | 6.80414 | − | 12.1869i | 0.215814 | − | 0.386544i | ||||
\(995\) | 39.3677 | + | 39.3677i | 1.24804 | + | 1.24804i | ||||
\(996\) | −0.289526 | + | 0.0775783i | −0.00917399 | + | 0.00245816i | ||||
\(997\) | 0.192796 | − | 0.719524i | 0.00610591 | − | 0.0227876i | −0.962806 | − | 0.270195i | \(-0.912912\pi\) |
0.968912 | + | 0.247407i | \(0.0795786\pi\) | |||||||
\(998\) | 43.0555 | + | 11.5367i | 1.36290 | + | 0.365188i | ||||
\(999\) | −0.425811 | − | 1.58915i | −0.0134721 | − | 0.0502784i |
(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 | 287.2.r.c.9.16 | ✓ | 96 | |
7.4 | even | 3 | inner | 287.2.r.c.214.9 | yes | 96 | |
41.32 | even | 4 | inner | 287.2.r.c.114.9 | yes | 96 | |
287.32 | even | 12 | inner | 287.2.r.c.32.16 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.r.c.9.16 | ✓ | 96 | 1.1 | even | 1 | trivial | |
287.2.r.c.32.16 | yes | 96 | 287.32 | even | 12 | inner | |
287.2.r.c.114.9 | yes | 96 | 41.32 | even | 4 | inner | |
287.2.r.c.214.9 | yes | 96 | 7.4 | even | 3 | inner |