Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(164,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.164");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bq (of order \(6\), degree \(2\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 164.4 | ||
Character | \(\chi\) | \(=\) | 315.164 |
Dual form | 315.2.bq.a.194.4 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46032 | −1.73971 | −0.869854 | − | 0.493310i | \(-0.835787\pi\) | ||||
−0.869854 | + | 0.493310i | \(0.835787\pi\) | |||||||
\(3\) | 0.957408 | − | 1.44339i | 0.552760 | − | 0.833341i | ||||
\(4\) | 4.05317 | 2.02658 | ||||||||
\(5\) | −0.494408 | + | 2.18072i | −0.221106 | + | 0.975250i | ||||
\(6\) | −2.35553 | + | 3.55119i | −0.961640 | + | 1.44977i | ||||
\(7\) | −0.227160 | − | 2.63598i | −0.0858585 | − | 0.996307i | ||||
\(8\) | −5.05144 | −1.78595 | ||||||||
\(9\) | −1.16674 | − | 2.76382i | −0.388913 | − | 0.921274i | ||||
\(10\) | 1.21640 | − | 5.36528i | 0.384660 | − | 1.69665i | ||||
\(11\) | 2.30650 | − | 1.33166i | 0.695435 | − | 0.401510i | −0.110210 | − | 0.993908i | \(-0.535152\pi\) |
0.805645 | + | 0.592399i | \(0.201819\pi\) | |||||||
\(12\) | 3.88053 | − | 5.85029i | 1.12021 | − | 1.68883i | ||||
\(13\) | 1.60728 | + | 2.78389i | 0.445779 | + | 0.772113i | 0.998106 | − | 0.0615151i | \(-0.0195932\pi\) |
−0.552327 | + | 0.833628i | \(0.686260\pi\) | |||||||
\(14\) | 0.558887 | + | 6.48535i | 0.149369 | + | 1.73328i | ||||
\(15\) | 2.67428 | + | 2.80147i | 0.690497 | + | 0.723335i | ||||
\(16\) | 4.32182 | 1.08046 | ||||||||
\(17\) | −2.53088 | − | 1.46120i | −0.613828 | − | 0.354394i | 0.160634 | − | 0.987014i | \(-0.448646\pi\) |
−0.774462 | + | 0.632620i | \(0.781979\pi\) | |||||||
\(18\) | 2.87055 | + | 6.79988i | 0.676596 | + | 1.60275i | ||||
\(19\) | 5.06365 | − | 2.92350i | 1.16168 | − | 0.670697i | 0.209975 | − | 0.977707i | \(-0.432662\pi\) |
0.951706 | + | 0.307009i | \(0.0993283\pi\) | |||||||
\(20\) | −2.00392 | + | 8.83884i | −0.448090 | + | 1.97642i | ||||
\(21\) | −4.02223 | − | 2.19583i | −0.877723 | − | 0.479169i | ||||
\(22\) | −5.67472 | + | 3.27630i | −1.20985 | + | 0.698509i | ||||
\(23\) | 1.27648 | − | 2.21092i | 0.266164 | − | 0.461009i | −0.701704 | − | 0.712468i | \(-0.747577\pi\) |
0.967868 | + | 0.251459i | \(0.0809105\pi\) | |||||||
\(24\) | −4.83629 | + | 7.29119i | −0.987203 | + | 1.48831i | ||||
\(25\) | −4.51112 | − | 2.15634i | −0.902224 | − | 0.431267i | ||||
\(26\) | −3.95442 | − | 6.84926i | −0.775526 | − | 1.34325i | ||||
\(27\) | −5.10632 | − | 0.962046i | −0.982711 | − | 0.185146i | ||||
\(28\) | −0.920718 | − | 10.6841i | −0.173999 | − | 2.01910i | ||||
\(29\) | 4.19625 | + | 2.42271i | 0.779224 | + | 0.449885i | 0.836155 | − | 0.548493i | \(-0.184798\pi\) |
−0.0569312 | + | 0.998378i | \(0.518132\pi\) | |||||||
\(30\) | −6.57959 | − | 6.89250i | −1.20126 | − | 1.25839i | ||||
\(31\) | − | 7.07814i | − | 1.27127i | −0.771989 | − | 0.635636i | \(-0.780738\pi\) | ||
0.771989 | − | 0.635636i | \(-0.219262\pi\) | |||||||
\(32\) | −0.530173 | −0.0937221 | ||||||||
\(33\) | 0.286160 | − | 4.60411i | 0.0498141 | − | 0.801472i | ||||
\(34\) | 6.22676 | + | 3.59502i | 1.06788 | + | 0.616541i | ||||
\(35\) | 5.86066 | + | 0.807876i | 0.990632 | + | 0.136556i | ||||
\(36\) | −4.72899 | − | 11.2022i | −0.788165 | − | 1.86704i | ||||
\(37\) | 1.59927 | − | 0.923338i | 0.262918 | − | 0.151796i | −0.362747 | − | 0.931888i | \(-0.618161\pi\) |
0.625665 | + | 0.780092i | \(0.284828\pi\) | |||||||
\(38\) | −12.4582 | + | 7.19274i | −2.02099 | + | 1.16682i | ||||
\(39\) | 5.55706 | + | 0.345390i | 0.889842 | + | 0.0553066i | ||||
\(40\) | 2.49747 | − | 11.0158i | 0.394885 | − | 1.74175i | ||||
\(41\) | −5.20058 | − | 9.00767i | −0.812194 | − | 1.40676i | −0.911325 | − | 0.411688i | \(-0.864939\pi\) |
0.0991306 | − | 0.995074i | \(-0.468394\pi\) | |||||||
\(42\) | 9.89597 | + | 5.40244i | 1.52698 | + | 0.833614i | ||||
\(43\) | 2.40794 | + | 1.39022i | 0.367207 | + | 0.212007i | 0.672237 | − | 0.740336i | \(-0.265333\pi\) |
−0.305031 | + | 0.952343i | \(0.598667\pi\) | |||||||
\(44\) | 9.34861 | − | 5.39742i | 1.40936 | − | 0.813692i | ||||
\(45\) | 6.60398 | − | 1.17788i | 0.984464 | − | 0.175589i | ||||
\(46\) | −3.14054 | + | 5.43957i | −0.463047 | + | 0.802021i | ||||
\(47\) | − | 6.04398i | − | 0.881605i | −0.897604 | − | 0.440803i | \(-0.854694\pi\) | ||
0.897604 | − | 0.440803i | \(-0.145306\pi\) | |||||||
\(48\) | 4.13775 | − | 6.23807i | 0.597232 | − | 0.900387i | ||||
\(49\) | −6.89680 | + | 1.19758i | −0.985257 | + | 0.171083i | ||||
\(50\) | 11.0988 | + | 5.30527i | 1.56961 | + | 0.750279i | ||||
\(51\) | −4.53216 | + | 2.25407i | −0.634630 | + | 0.315633i | ||||
\(52\) | 6.51457 | + | 11.2836i | 0.903409 | + | 1.56475i | ||||
\(53\) | 4.98889 | − | 8.64101i | 0.685277 | − | 1.18693i | −0.288073 | − | 0.957608i | \(-0.593015\pi\) |
0.973350 | − | 0.229325i | \(-0.0736520\pi\) | |||||||
\(54\) | 12.5632 | + | 2.36694i | 1.70963 | + | 0.322100i | ||||
\(55\) | 1.76363 | + | 5.68822i | 0.237807 | + | 0.766999i | ||||
\(56\) | 1.14749 | + | 13.3155i | 0.153339 | + | 1.77936i | ||||
\(57\) | 0.628233 | − | 10.1078i | 0.0832115 | − | 1.33881i | ||||
\(58\) | −10.3241 | − | 5.96063i | −1.35562 | − | 0.782669i | ||||
\(59\) | −6.44308 | −0.838818 | −0.419409 | − | 0.907797i | \(-0.637763\pi\) | ||||
−0.419409 | + | 0.907797i | \(0.637763\pi\) | |||||||
\(60\) | 10.8393 | + | 11.3548i | 1.39935 | + | 1.46590i | ||||
\(61\) | 8.84605i | 1.13262i | 0.824192 | + | 0.566310i | \(0.191630\pi\) | ||||
−0.824192 | + | 0.566310i | \(0.808370\pi\) | |||||||
\(62\) | 17.4145i | 2.21164i | ||||||||
\(63\) | −7.02035 | + | 3.70334i | −0.884481 | + | 0.466577i | ||||
\(64\) | −7.33925 | −0.917406 | ||||||||
\(65\) | −6.86555 | + | 2.12866i | −0.851567 | + | 0.264028i | ||||
\(66\) | −0.704046 | + | 11.3276i | −0.0866620 | + | 1.39433i | ||||
\(67\) | 9.89679i | 1.20908i | 0.796573 | + | 0.604542i | \(0.206644\pi\) | ||||
−0.796573 | + | 0.604542i | \(0.793356\pi\) | |||||||
\(68\) | −10.2581 | − | 5.92249i | −1.24397 | − | 0.718208i | ||||
\(69\) | −1.96911 | − | 3.95921i | −0.237053 | − | 0.476632i | ||||
\(70\) | −14.4191 | − | 1.98763i | −1.72341 | − | 0.237568i | ||||
\(71\) | − | 1.65668i | − | 0.196612i | −0.995156 | − | 0.0983058i | \(-0.968658\pi\) | ||
0.995156 | − | 0.0983058i | \(-0.0313423\pi\) | |||||||
\(72\) | 5.89372 | + | 13.9613i | 0.694582 | + | 1.64535i | ||||
\(73\) | −3.96889 | + | 6.87432i | −0.464524 | + | 0.804579i | −0.999180 | − | 0.0404909i | \(-0.987108\pi\) |
0.534656 | + | 0.845070i | \(0.320441\pi\) | |||||||
\(74\) | −3.93471 | + | 2.27171i | −0.457401 | + | 0.264080i | ||||
\(75\) | −7.43141 | + | 4.44681i | −0.858106 | + | 0.513473i | ||||
\(76\) | 20.5238 | − | 11.8494i | 2.35424 | − | 1.35922i | ||||
\(77\) | −4.03417 | − | 5.77738i | −0.459736 | − | 0.658394i | ||||
\(78\) | −13.6721 | − | 0.849768i | −1.54806 | − | 0.0962173i | ||||
\(79\) | 11.5474 | 1.29919 | 0.649594 | − | 0.760281i | \(-0.274939\pi\) | ||||
0.649594 | + | 0.760281i | \(0.274939\pi\) | |||||||
\(80\) | −2.13674 | + | 9.42470i | −0.238895 | + | 1.05371i | ||||
\(81\) | −6.27743 | + | 6.44933i | −0.697493 | + | 0.716592i | ||||
\(82\) | 12.7951 | + | 22.1617i | 1.41298 | + | 2.44735i | ||||
\(83\) | 12.2465 | + | 7.07054i | 1.34423 | + | 0.776093i | 0.987425 | − | 0.158086i | \(-0.0505322\pi\) |
0.356806 | + | 0.934178i | \(0.383866\pi\) | |||||||
\(84\) | −16.3028 | − | 8.90006i | −1.77878 | − | 0.971076i | ||||
\(85\) | 4.43776 | − | 4.79671i | 0.481343 | − | 0.520277i | ||||
\(86\) | −5.92429 | − | 3.42039i | −0.638832 | − | 0.368830i | ||||
\(87\) | 7.51443 | − | 3.73730i | 0.805631 | − | 0.400681i | ||||
\(88\) | −11.6511 | + | 6.72678i | −1.24201 | + | 0.717078i | ||||
\(89\) | 3.53042 | + | 6.11486i | 0.374223 | + | 0.648174i | 0.990210 | − | 0.139582i | \(-0.0445760\pi\) |
−0.615987 | + | 0.787756i | \(0.711243\pi\) | |||||||
\(90\) | −16.2479 | + | 2.89797i | −1.71268 | + | 0.305473i | ||||
\(91\) | 6.97318 | − | 4.86915i | 0.730988 | − | 0.510426i | ||||
\(92\) | 5.17377 | − | 8.96123i | 0.539403 | − | 0.934273i | ||||
\(93\) | −10.2165 | − | 6.77667i | −1.05940 | − | 0.702708i | ||||
\(94\) | 14.8701i | 1.53374i | ||||||||
\(95\) | 3.87184 | + | 12.4878i | 0.397243 | + | 1.28123i | ||||
\(96\) | −0.507591 | + | 0.765245i | −0.0518058 | + | 0.0781025i | ||||
\(97\) | −1.38925 | + | 2.40626i | −0.141057 | + | 0.244318i | −0.927895 | − | 0.372841i | \(-0.878384\pi\) |
0.786838 | + | 0.617160i | \(0.211717\pi\) | |||||||
\(98\) | 16.9683 | − | 2.94643i | 1.71406 | − | 0.297634i | ||||
\(99\) | −6.37154 | − | 4.82105i | −0.640364 | − | 0.484534i | ||||
\(100\) | −18.2843 | − | 8.73998i | −1.82843 | − | 0.873998i | ||||
\(101\) | 6.65586 | + | 11.5283i | 0.662282 | + | 1.14711i | 0.980014 | + | 0.198926i | \(0.0637454\pi\) |
−0.317732 | + | 0.948181i | \(0.602921\pi\) | |||||||
\(102\) | 11.1506 | − | 5.54573i | 1.10407 | − | 0.549109i | ||||
\(103\) | 0.862252 | − | 1.49346i | 0.0849602 | − | 0.147155i | −0.820414 | − | 0.571770i | \(-0.806257\pi\) |
0.905374 | + | 0.424614i | \(0.139590\pi\) | |||||||
\(104\) | −8.11908 | − | 14.0627i | −0.796142 | − | 1.37896i | ||||
\(105\) | 6.77712 | − | 7.68574i | 0.661379 | − | 0.750052i | ||||
\(106\) | −12.2743 | + | 21.2596i | −1.19218 | + | 2.06492i | ||||
\(107\) | −3.36690 | − | 5.83164i | −0.325490 | − | 0.563766i | 0.656121 | − | 0.754656i | \(-0.272196\pi\) |
−0.981612 | + | 0.190890i | \(0.938863\pi\) | |||||||
\(108\) | −20.6967 | − | 3.89933i | −1.99155 | − | 0.375213i | ||||
\(109\) | −0.210153 | + | 0.363996i | −0.0201290 | + | 0.0348645i | −0.875914 | − | 0.482466i | \(-0.839741\pi\) |
0.855785 | + | 0.517331i | \(0.173074\pi\) | |||||||
\(110\) | −4.33908 | − | 13.9948i | −0.413715 | − | 1.33435i | ||||
\(111\) | 0.198417 | − | 3.19238i | 0.0188329 | − | 0.303007i | ||||
\(112\) | −0.981746 | − | 11.3922i | −0.0927663 | − | 1.07647i | ||||
\(113\) | 5.14898 | + | 8.91830i | 0.484376 | + | 0.838963i | 0.999839 | − | 0.0179484i | \(-0.00571348\pi\) |
−0.515463 | + | 0.856912i | \(0.672380\pi\) | |||||||
\(114\) | −1.54565 | + | 24.8684i | −0.144764 | + | 2.32914i | ||||
\(115\) | 4.19031 | + | 3.87674i | 0.390749 | + | 0.361508i | ||||
\(116\) | 17.0081 | + | 9.81963i | 1.57916 | + | 0.911730i | ||||
\(117\) | 5.81890 | − | 7.69032i | 0.537958 | − | 0.710970i | ||||
\(118\) | 15.8520 | 1.45930 | ||||||||
\(119\) | −3.27679 | + | 7.00327i | −0.300383 | + | 0.641989i | ||||
\(120\) | −13.5090 | − | 14.1514i | −1.23320 | − | 1.29184i | ||||
\(121\) | −1.95338 | + | 3.38336i | −0.177580 | + | 0.307578i | ||||
\(122\) | − | 21.7641i | − | 1.97043i | ||||||
\(123\) | −17.9806 | − | 1.11756i | −1.62126 | − | 0.100767i | ||||
\(124\) | − | 28.6889i | − | 2.57634i | ||||||
\(125\) | 6.93271 | − | 8.77141i | 0.620080 | − | 0.784538i | ||||
\(126\) | 17.2723 | − | 9.11139i | 1.53874 | − | 0.811707i | ||||
\(127\) | 12.6225i | 1.12007i | 0.828470 | + | 0.560034i | \(0.189212\pi\) | ||||
−0.828470 | + | 0.560034i | \(0.810788\pi\) | |||||||
\(128\) | 19.1172 | 1.68974 | ||||||||
\(129\) | 4.31201 | − | 2.14458i | 0.379651 | − | 0.188819i | ||||
\(130\) | 16.8914 | − | 5.23718i | 1.48148 | − | 0.459331i | ||||
\(131\) | −9.47370 | + | 16.4089i | −0.827721 | + | 1.43366i | 0.0721006 | + | 0.997397i | \(0.477030\pi\) |
−0.899822 | + | 0.436258i | \(0.856304\pi\) | |||||||
\(132\) | 1.15986 | − | 18.6612i | 0.100952 | − | 1.62425i | ||||
\(133\) | −8.85656 | − | 12.6836i | −0.767961 | − | 1.09981i | ||||
\(134\) | − | 24.3492i | − | 2.10345i | ||||||
\(135\) | 4.62256 | − | 10.6598i | 0.397847 | − | 0.917452i | ||||
\(136\) | 12.7846 | + | 7.38118i | 1.09627 | + | 0.632931i | ||||
\(137\) | −4.78771 | − | 8.29255i | −0.409041 | − | 0.708481i | 0.585741 | − | 0.810498i | \(-0.300804\pi\) |
−0.994783 | + | 0.102018i | \(0.967470\pi\) | |||||||
\(138\) | 4.84464 | + | 9.74091i | 0.412403 | + | 0.829201i | ||||
\(139\) | 0.892139 | − | 0.515077i | 0.0756703 | − | 0.0436882i | −0.461687 | − | 0.887043i | \(-0.652756\pi\) |
0.537358 | + | 0.843354i | \(0.319423\pi\) | |||||||
\(140\) | 23.7542 | + | 3.27446i | 2.00760 | + | 0.276742i | ||||
\(141\) | −8.72381 | − | 5.78655i | −0.734677 | − | 0.487316i | ||||
\(142\) | 4.07596i | 0.342047i | ||||||||
\(143\) | 7.41437 | + | 4.28069i | 0.620021 | + | 0.357969i | ||||
\(144\) | −5.04244 | − | 11.9447i | −0.420204 | − | 0.995396i | ||||
\(145\) | −7.35791 | + | 7.95306i | −0.611042 | + | 0.660466i | ||||
\(146\) | 9.76474 | − | 16.9130i | 0.808136 | − | 1.39973i | ||||
\(147\) | −4.87447 | + | 11.1013i | −0.402040 | + | 0.915622i | ||||
\(148\) | 6.48210 | − | 3.74244i | 0.532825 | − | 0.307627i | ||||
\(149\) | 9.08780 | + | 5.24684i | 0.744502 | + | 0.429838i | 0.823704 | − | 0.567020i | \(-0.191904\pi\) |
−0.0792021 | + | 0.996859i | \(0.525237\pi\) | |||||||
\(150\) | 18.2836 | − | 10.9406i | 1.49285 | − | 0.893293i | ||||
\(151\) | −12.1828 | − | 21.1012i | −0.991419 | − | 1.71719i | −0.608917 | − | 0.793234i | \(-0.708396\pi\) |
−0.382503 | − | 0.923954i | \(-0.624938\pi\) | |||||||
\(152\) | −25.5787 | + | 14.7679i | −2.07471 | + | 1.19783i | ||||
\(153\) | −1.08563 | + | 8.69974i | −0.0877678 | + | 0.703332i | ||||
\(154\) | 9.92533 | + | 14.2142i | 0.799806 | + | 1.14541i | ||||
\(155\) | 15.4355 | + | 3.49949i | 1.23981 | + | 0.281086i | ||||
\(156\) | 22.5237 | + | 1.39992i | 1.80334 | + | 0.112083i | ||||
\(157\) | 0.839436 | 0.0669943 | 0.0334972 | − | 0.999439i | \(-0.489336\pi\) | ||||
0.0334972 | + | 0.999439i | \(0.489336\pi\) | |||||||
\(158\) | −28.4104 | −2.26021 | ||||||||
\(159\) | −7.69593 | − | 15.4739i | −0.610327 | − | 1.22716i | ||||
\(160\) | 0.262122 | − | 1.15616i | 0.0207225 | − | 0.0914025i | ||||
\(161\) | −6.11791 | − | 2.86253i | −0.482159 | − | 0.225599i | ||||
\(162\) | 15.4445 | − | 15.8674i | 1.21343 | − | 1.24666i | ||||
\(163\) | 4.78296 | − | 2.76144i | 0.374630 | − | 0.216293i | −0.300849 | − | 0.953672i | \(-0.597270\pi\) |
0.675479 | + | 0.737379i | \(0.263937\pi\) | |||||||
\(164\) | −21.0788 | − | 36.5096i | −1.64598 | − | 2.85092i | ||||
\(165\) | 9.89881 | + | 2.90035i | 0.770622 | + | 0.225792i | ||||
\(166\) | −30.1304 | − | 17.3958i | −2.33857 | − | 1.35017i | ||||
\(167\) | −14.3387 | + | 8.27845i | −1.10956 | + | 0.640606i | −0.938716 | − | 0.344692i | \(-0.887983\pi\) |
−0.170846 | + | 0.985298i | \(0.554650\pi\) | |||||||
\(168\) | 20.3181 | + | 11.0921i | 1.56757 | + | 0.855774i | ||||
\(169\) | 1.33330 | − | 2.30934i | 0.102561 | − | 0.177642i | ||||
\(170\) | −10.9183 | + | 11.8014i | −0.837396 | + | 0.905129i | ||||
\(171\) | −13.9880 | − | 10.5841i | −1.06969 | − | 0.809384i | ||||
\(172\) | 9.75976 | + | 5.63480i | 0.744175 | + | 0.429650i | ||||
\(173\) | 17.7064i | 1.34619i | 0.739554 | + | 0.673097i | \(0.235037\pi\) | ||||
−0.739554 | + | 0.673097i | \(0.764963\pi\) | |||||||
\(174\) | −18.4879 | + | 9.19495i | −1.40156 | + | 0.697067i | ||||
\(175\) | −4.65931 | + | 12.3811i | −0.352211 | + | 0.935921i | ||||
\(176\) | 9.96826 | − | 5.75518i | 0.751386 | − | 0.433813i | ||||
\(177\) | −6.16866 | + | 9.29987i | −0.463665 | + | 0.699021i | ||||
\(178\) | −8.68595 | − | 15.0445i | −0.651039 | − | 1.12763i | ||||
\(179\) | −5.05552 | − | 2.91880i | −0.377867 | − | 0.218162i | 0.299023 | − | 0.954246i | \(-0.403339\pi\) |
−0.676890 | + | 0.736084i | \(0.736673\pi\) | |||||||
\(180\) | 26.7670 | − | 4.77416i | 1.99510 | − | 0.355845i | ||||
\(181\) | 13.1595i | 0.978136i | 0.872246 | + | 0.489068i | \(0.162663\pi\) | ||||
−0.872246 | + | 0.489068i | \(0.837337\pi\) | |||||||
\(182\) | −17.1562 | + | 11.9797i | −1.27170 | + | 0.887992i | ||||
\(183\) | 12.7683 | + | 8.46928i | 0.943859 | + | 0.626067i | ||||
\(184\) | −6.44805 | + | 11.1683i | −0.475356 | + | 0.823341i | ||||
\(185\) | 1.22286 | + | 3.94407i | 0.0899061 | + | 0.289974i | ||||
\(186\) | 25.1359 | + | 16.6728i | 1.84305 | + | 1.22251i | ||||
\(187\) | −7.78328 | −0.569170 | ||||||||
\(188\) | − | 24.4973i | − | 1.78665i | ||||||
\(189\) | −1.37598 | + | 13.6787i | −0.100088 | + | 0.994979i | ||||
\(190\) | −9.52596 | − | 30.7241i | −0.691086 | − | 2.22896i | ||||
\(191\) | 0.705961i | 0.0510816i | 0.999674 | + | 0.0255408i | \(0.00813077\pi\) | ||||
−0.999674 | + | 0.0255408i | \(0.991869\pi\) | |||||||
\(192\) | −7.02665 | + | 10.5934i | −0.507105 | + | 0.764512i | ||||
\(193\) | − | 19.6345i | − | 1.41332i | −0.707553 | − | 0.706660i | \(-0.750201\pi\) | ||
0.707553 | − | 0.706660i | \(-0.249799\pi\) | |||||||
\(194\) | 3.41801 | − | 5.92016i | 0.245399 | − | 0.425043i | ||||
\(195\) | −3.50065 | + | 11.9477i | −0.250687 | + | 0.855589i | ||||
\(196\) | −27.9539 | + | 4.85399i | −1.99670 | + | 0.346714i | ||||
\(197\) | 11.7246 | 0.835344 | 0.417672 | − | 0.908598i | \(-0.362846\pi\) | ||||
0.417672 | + | 0.908598i | \(0.362846\pi\) | |||||||
\(198\) | 15.6760 | + | 11.8613i | 1.11405 | + | 0.842947i | ||||
\(199\) | −2.41637 | − | 1.39509i | −0.171292 | − | 0.0988953i | 0.411903 | − | 0.911228i | \(-0.364864\pi\) |
−0.583195 | + | 0.812332i | \(0.698198\pi\) | |||||||
\(200\) | 22.7877 | + | 10.8926i | 1.61133 | + | 0.770223i | ||||
\(201\) | 14.2849 | + | 9.47526i | 1.00758 | + | 0.668333i | ||||
\(202\) | −16.3755 | − | 28.3632i | −1.15218 | − | 1.99563i | ||||
\(203\) | 5.43299 | − | 11.6116i | 0.381321 | − | 0.814973i | ||||
\(204\) | −18.3696 | + | 9.13612i | −1.28613 | + | 0.639657i | ||||
\(205\) | 22.2145 | − | 6.88757i | 1.55153 | − | 0.481049i | ||||
\(206\) | −2.12141 | + | 3.67440i | −0.147806 | + | 0.256007i | ||||
\(207\) | −7.59991 | − | 0.948383i | −0.528231 | − | 0.0659172i | ||||
\(208\) | 6.94638 | + | 12.0315i | 0.481645 | + | 0.834233i | ||||
\(209\) | 7.78620 | − | 13.4861i | 0.538583 | − | 0.932853i | ||||
\(210\) | −16.6739 | + | 18.9094i | −1.15061 | + | 1.30487i | ||||
\(211\) | 9.03985 | + | 15.6575i | 0.622329 | + | 1.07791i | 0.989051 | + | 0.147575i | \(0.0471467\pi\) |
−0.366722 | + | 0.930331i | \(0.619520\pi\) | |||||||
\(212\) | 20.2208 | − | 35.0234i | 1.38877 | − | 2.40542i | ||||
\(213\) | −2.39123 | − | 1.58612i | −0.163844 | − | 0.108679i | ||||
\(214\) | 8.28364 | + | 14.3477i | 0.566258 | + | 0.980788i | ||||
\(215\) | −4.22220 | + | 4.56371i | −0.287951 | + | 0.311242i | ||||
\(216\) | 25.7943 | + | 4.85972i | 1.75508 | + | 0.330662i | ||||
\(217\) | −18.6578 | + | 1.60787i | −1.26658 | + | 0.109149i | ||||
\(218\) | 0.517043 | − | 0.895545i | 0.0350186 | − | 0.0606540i | ||||
\(219\) | 6.12247 | + | 12.3102i | 0.413718 | + | 0.831845i | ||||
\(220\) | 7.14827 | + | 23.0553i | 0.481936 | + | 1.55439i | ||||
\(221\) | − | 9.39425i | − | 0.631925i | ||||||
\(222\) | −0.488168 | + | 7.85426i | −0.0327637 | + | 0.527144i | ||||
\(223\) | −4.45382 | + | 7.71425i | −0.298250 | + | 0.516584i | −0.975736 | − | 0.218952i | \(-0.929736\pi\) |
0.677486 | + | 0.735536i | \(0.263070\pi\) | |||||||
\(224\) | 0.120434 | + | 1.39752i | 0.00804684 | + | 0.0933761i | ||||
\(225\) | −0.696422 | + | 14.9838i | −0.0464281 | + | 0.998922i | ||||
\(226\) | −12.6681 | − | 21.9419i | −0.842672 | − | 1.45955i | ||||
\(227\) | −12.8775 | + | 7.43486i | −0.854713 | + | 0.493469i | −0.862238 | − | 0.506503i | \(-0.830938\pi\) |
0.00752533 | + | 0.999972i | \(0.497605\pi\) | |||||||
\(228\) | 2.54633 | − | 40.9686i | 0.168635 | − | 2.71321i | ||||
\(229\) | −13.1745 | − | 7.60628i | −0.870593 | − | 0.502637i | −0.00304789 | − | 0.999995i | \(-0.500970\pi\) |
−0.867545 | + | 0.497358i | \(0.834304\pi\) | |||||||
\(230\) | −10.3095 | − | 9.53802i | −0.679788 | − | 0.628918i | ||||
\(231\) | −12.2013 | + | 0.291557i | −0.802790 | + | 0.0191830i | ||||
\(232\) | −21.1971 | − | 12.2382i | −1.39166 | − | 0.803474i | ||||
\(233\) | −4.91804 | − | 8.51830i | −0.322192 | − | 0.558052i | 0.658748 | − | 0.752363i | \(-0.271086\pi\) |
−0.980940 | + | 0.194311i | \(0.937753\pi\) | |||||||
\(234\) | −14.3164 | + | 18.9206i | −0.935890 | + | 1.23688i | ||||
\(235\) | 13.1803 | + | 2.98819i | 0.859785 | + | 0.194928i | ||||
\(236\) | −26.1149 | −1.69993 | ||||||||
\(237\) | 11.0556 | − | 16.6674i | 0.718139 | − | 1.08267i | ||||
\(238\) | 8.06194 | − | 17.2303i | 0.522578 | − | 1.11687i | ||||
\(239\) | −0.889843 | + | 0.513751i | −0.0575591 | + | 0.0332318i | −0.528503 | − | 0.848931i | \(-0.677247\pi\) |
0.470944 | + | 0.882163i | \(0.343913\pi\) | |||||||
\(240\) | 11.5578 | + | 12.1074i | 0.746051 | + | 0.781531i | ||||
\(241\) | −1.27009 | + | 0.733285i | −0.0818135 | + | 0.0472350i | −0.540349 | − | 0.841441i | \(-0.681708\pi\) |
0.458535 | + | 0.888676i | \(0.348374\pi\) | |||||||
\(242\) | 4.80594 | − | 8.32414i | 0.308938 | − | 0.535096i | ||||
\(243\) | 3.29882 | + | 15.2354i | 0.211619 | + | 0.977352i | ||||
\(244\) | 35.8545i | 2.29535i | ||||||||
\(245\) | 0.798238 | − | 15.6321i | 0.0509975 | − | 0.998699i | ||||
\(246\) | 44.2381 | + | 2.74954i | 2.82052 | + | 0.175305i | ||||
\(247\) | 16.2774 | + | 9.39778i | 1.03571 | + | 0.597966i | ||||
\(248\) | 35.7548i | 2.27043i | ||||||||
\(249\) | 21.9305 | − | 10.9071i | 1.38979 | − | 0.691210i | ||||
\(250\) | −17.0567 | + | 21.5804i | −1.07876 | + | 1.36487i | ||||
\(251\) | −5.93611 | −0.374684 | −0.187342 | − | 0.982295i | \(-0.559987\pi\) | ||||
−0.187342 | + | 0.982295i | \(0.559987\pi\) | |||||||
\(252\) | −28.4546 | + | 15.0102i | −1.79247 | + | 0.945556i | ||||
\(253\) | − | 6.79931i | − | 0.427469i | ||||||
\(254\) | − | 31.0554i | − | 1.94859i | ||||||
\(255\) | −2.67477 | − | 10.9978i | −0.167501 | − | 0.688711i | ||||
\(256\) | −32.3560 | −2.02225 | ||||||||
\(257\) | −0.523767 | − | 0.302397i | −0.0326717 | − | 0.0188630i | 0.483575 | − | 0.875303i | \(-0.339338\pi\) |
−0.516247 | + | 0.856440i | \(0.672671\pi\) | |||||||
\(258\) | −10.6089 | + | 5.27634i | −0.660482 | + | 0.328491i | ||||
\(259\) | −2.79719 | − | 4.00590i | −0.173809 | − | 0.248914i | ||||
\(260\) | −27.8272 | + | 8.62781i | −1.72577 | + | 0.535074i | ||||
\(261\) | 1.80000 | − | 14.4244i | 0.111417 | − | 0.892845i | ||||
\(262\) | 23.3083 | − | 40.3712i | 1.43999 | − | 2.49414i | ||||
\(263\) | 9.89547 | + | 17.1394i | 0.610181 | + | 1.05686i | 0.991210 | + | 0.132301i | \(0.0422364\pi\) |
−0.381029 | + | 0.924563i | \(0.624430\pi\) | |||||||
\(264\) | −1.44552 | + | 23.2574i | −0.0889658 | + | 1.43139i | ||||
\(265\) | 16.3771 | + | 15.1516i | 1.00604 | + | 0.930754i | ||||
\(266\) | 21.7899 | + | 31.2057i | 1.33603 | + | 1.91334i | ||||
\(267\) | 12.2062 | + | 0.758653i | 0.747005 | + | 0.0464288i | ||||
\(268\) | 40.1133i | 2.45031i | ||||||||
\(269\) | −10.1969 | + | 17.6615i | −0.621714 | + | 1.07684i | 0.367452 | + | 0.930042i | \(0.380230\pi\) |
−0.989166 | + | 0.146798i | \(0.953103\pi\) | |||||||
\(270\) | −11.3730 | + | 26.2266i | −0.692137 | + | 1.59610i | ||||
\(271\) | 10.4073 | − | 6.00866i | 0.632198 | − | 0.365000i | −0.149405 | − | 0.988776i | \(-0.547736\pi\) |
0.781603 | + | 0.623776i | \(0.214402\pi\) | |||||||
\(272\) | −10.9380 | − | 6.31505i | −0.663213 | − | 0.382906i | ||||
\(273\) | −0.351903 | − | 14.7268i | −0.0212981 | − | 0.891304i | ||||
\(274\) | 11.7793 | + | 20.4023i | 0.711613 | + | 1.23255i | ||||
\(275\) | −13.2764 | + | 1.03368i | −0.800596 | + | 0.0623335i | ||||
\(276\) | −7.98113 | − | 16.0473i | −0.480408 | − | 0.965935i | ||||
\(277\) | 12.0348 | − | 6.94832i | 0.723104 | − | 0.417484i | −0.0927903 | − | 0.995686i | \(-0.529579\pi\) |
0.815894 | + | 0.578202i | \(0.196245\pi\) | |||||||
\(278\) | −2.19495 | + | 1.26725i | −0.131644 | + | 0.0760048i | ||||
\(279\) | −19.5627 | + | 8.25835i | −1.17119 | + | 0.494415i | ||||
\(280\) | −29.6048 | − | 4.08094i | −1.76922 | − | 0.243883i | ||||
\(281\) | 9.08163 | + | 5.24328i | 0.541765 | + | 0.312788i | 0.745794 | − | 0.666177i | \(-0.232070\pi\) |
−0.204029 | + | 0.978965i | \(0.565404\pi\) | |||||||
\(282\) | 21.4633 | + | 14.2368i | 1.27812 | + | 0.847787i | ||||
\(283\) | −1.25858 | −0.0748151 | −0.0374075 | − | 0.999300i | \(-0.511910\pi\) | ||||
−0.0374075 | + | 0.999300i | \(0.511910\pi\) | |||||||
\(284\) | − | 6.71479i | − | 0.398450i | ||||||
\(285\) | 21.7317 | + | 6.36738i | 1.28728 | + | 0.377171i | ||||
\(286\) | −18.2417 | − | 10.5319i | −1.07866 | − | 0.622762i | ||||
\(287\) | −22.5627 | + | 15.7548i | −1.33183 | + | 0.929978i | ||||
\(288\) | 0.618574 | + | 1.46530i | 0.0364498 | + | 0.0863438i | ||||
\(289\) | −4.22978 | − | 7.32619i | −0.248810 | − | 0.430952i | ||||
\(290\) | 18.1028 | − | 19.5671i | 1.06303 | − | 1.14902i | ||||
\(291\) | 2.14308 | + | 4.30900i | 0.125630 | + | 0.252598i | ||||
\(292\) | −16.0866 | + | 27.8628i | −0.941396 | + | 1.63055i | ||||
\(293\) | 8.57020 | − | 4.94801i | 0.500676 | − | 0.289066i | −0.228316 | − | 0.973587i | \(-0.573322\pi\) |
0.728993 | + | 0.684521i | \(0.239989\pi\) | |||||||
\(294\) | 11.9928 | − | 27.3128i | 0.699432 | − | 1.59291i | ||||
\(295\) | 3.18551 | − | 14.0506i | 0.185468 | − | 0.818057i | ||||
\(296\) | −8.07861 | + | 4.66419i | −0.469560 | + | 0.271100i | ||||
\(297\) | −13.0588 | + | 4.58090i | −0.757749 | + | 0.265811i | ||||
\(298\) | −22.3589 | − | 12.9089i | −1.29522 | − | 0.747793i | ||||
\(299\) | 8.20662 | 0.474601 | ||||||||
\(300\) | −30.1207 | + | 18.0237i | −1.73902 | + | 1.04060i | ||||
\(301\) | 3.11761 | − | 6.66308i | 0.179696 | − | 0.384053i | ||||
\(302\) | 29.9735 | + | 51.9156i | 1.72478 | + | 2.98741i | ||||
\(303\) | 23.0122 | + | 1.43028i | 1.32201 | + | 0.0821675i | ||||
\(304\) | 21.8842 | − | 12.6349i | 1.25515 | − | 0.724658i | ||||
\(305\) | −19.2908 | − | 4.37356i | −1.10459 | − | 0.250429i | ||||
\(306\) | 2.67099 | − | 21.4041i | 0.152690 | − | 1.22359i | ||||
\(307\) | −11.8075 | −0.673887 | −0.336944 | − | 0.941525i | \(-0.609393\pi\) | ||||
−0.336944 | + | 0.941525i | \(0.609393\pi\) | |||||||
\(308\) | −16.3511 | − | 23.4167i | −0.931693 | − | 1.33429i | ||||
\(309\) | −1.33012 | − | 2.67442i | −0.0756680 | − | 0.152142i | ||||
\(310\) | −37.9762 | − | 8.60986i | −2.15690 | − | 0.489007i | ||||
\(311\) | 5.81184 | 0.329559 | 0.164780 | − | 0.986330i | \(-0.447309\pi\) | ||||
0.164780 | + | 0.986330i | \(0.447309\pi\) | |||||||
\(312\) | −28.0712 | − | 1.74471i | −1.58922 | − | 0.0987750i | ||||
\(313\) | 32.5051 | 1.83730 | 0.918650 | − | 0.395073i | \(-0.129281\pi\) | ||||
0.918650 | + | 0.395073i | \(0.129281\pi\) | |||||||
\(314\) | −2.06528 | −0.116550 | ||||||||
\(315\) | −4.60504 | − | 17.1404i | −0.259465 | − | 0.965753i | ||||
\(316\) | 46.8037 | 2.63291 | ||||||||
\(317\) | 13.0079 | 0.730596 | 0.365298 | − | 0.930891i | \(-0.380967\pi\) | ||||
0.365298 | + | 0.930891i | \(0.380967\pi\) | |||||||
\(318\) | 18.9344 | + | 38.0707i | 1.06179 | + | 2.13490i | ||||
\(319\) | 12.9048 | 0.722533 | ||||||||
\(320\) | 3.62858 | − | 16.0049i | 0.202844 | − | 0.894700i | ||||
\(321\) | −11.6408 | − | 0.723515i | −0.649727 | − | 0.0403827i | ||||
\(322\) | 15.0520 | + | 7.04275i | 0.838816 | + | 0.392477i | ||||
\(323\) | −17.0873 | −0.950763 | ||||||||
\(324\) | −25.4435 | + | 26.1402i | −1.41353 | + | 1.45223i | ||||
\(325\) | −1.24763 | − | 16.0243i | −0.0692063 | − | 0.888869i | ||||
\(326\) | −11.7676 | + | 6.79403i | −0.651747 | + | 0.376286i | ||||
\(327\) | 0.324185 | + | 0.651825i | 0.0179275 | + | 0.0360460i | ||||
\(328\) | 26.2704 | + | 45.5017i | 1.45054 | + | 2.51241i | ||||
\(329\) | −15.9318 | + | 1.37295i | −0.878350 | + | 0.0756933i | ||||
\(330\) | −24.3542 | − | 7.13577i | −1.34066 | − | 0.392811i | ||||
\(331\) | 0.177038 | 0.00973091 | 0.00486545 | − | 0.999988i | \(-0.498451\pi\) | ||||
0.00486545 | + | 0.999988i | \(0.498451\pi\) | |||||||
\(332\) | 49.6372 | + | 28.6581i | 2.72420 | + | 1.57282i | ||||
\(333\) | −4.41787 | − | 3.34280i | −0.242098 | − | 0.183184i | ||||
\(334\) | 35.2778 | − | 20.3676i | 1.93031 | − | 1.11447i | ||||
\(335\) | −21.5822 | − | 4.89305i | −1.17916 | − | 0.267336i | ||||
\(336\) | −17.3834 | − | 9.48998i | −0.948340 | − | 0.517721i | ||||
\(337\) | −3.55677 | + | 2.05350i | −0.193750 | + | 0.111861i | −0.593737 | − | 0.804659i | \(-0.702348\pi\) |
0.399987 | + | 0.916521i | \(0.369015\pi\) | |||||||
\(338\) | −3.28034 | + | 5.68171i | −0.178427 | + | 0.309044i | ||||
\(339\) | 17.8023 | + | 1.10647i | 0.966886 | + | 0.0600951i | ||||
\(340\) | 17.9870 | − | 19.4419i | 0.975482 | − | 1.05438i | ||||
\(341\) | −9.42565 | − | 16.3257i | −0.510428 | − | 0.884087i | ||||
\(342\) | 34.4150 | + | 26.0402i | 1.86095 | + | 1.40809i | ||||
\(343\) | 4.72348 | + | 17.9078i | 0.255044 | + | 0.966929i | ||||
\(344\) | −12.1635 | − | 7.02263i | −0.655814 | − | 0.378635i | ||||
\(345\) | 9.60748 | − | 2.33663i | 0.517249 | − | 0.125800i | ||||
\(346\) | − | 43.5634i | − | 2.34199i | ||||||
\(347\) | −7.07823 | −0.379979 | −0.189990 | − | 0.981786i | \(-0.560845\pi\) | ||||
−0.189990 | + | 0.981786i | \(0.560845\pi\) | |||||||
\(348\) | 30.4572 | − | 15.1479i | 1.63268 | − | 0.812013i | ||||
\(349\) | 5.53074 | + | 3.19317i | 0.296054 | + | 0.170927i | 0.640669 | − | 0.767817i | \(-0.278657\pi\) |
−0.344615 | + | 0.938744i | \(0.611991\pi\) | |||||||
\(350\) | 11.4634 | − | 30.4614i | 0.612744 | − | 1.62823i | ||||
\(351\) | −5.52905 | − | 15.7617i | −0.295119 | − | 0.841298i | ||||
\(352\) | −1.22284 | + | 0.706008i | −0.0651776 | + | 0.0376303i | ||||
\(353\) | −7.06503 | + | 4.07900i | −0.376033 | + | 0.217103i | −0.676091 | − | 0.736818i | \(-0.736327\pi\) |
0.300058 | + | 0.953921i | \(0.402994\pi\) | |||||||
\(354\) | 15.1769 | − | 22.8806i | 0.806641 | − | 1.21609i | ||||
\(355\) | 3.61276 | + | 0.819075i | 0.191745 | + | 0.0434720i | ||||
\(356\) | 14.3094 | + | 24.7845i | 0.758395 | + | 1.31358i | ||||
\(357\) | 6.97122 | + | 11.4347i | 0.368956 | + | 0.605186i | ||||
\(358\) | 12.4382 | + | 7.18119i | 0.657378 | + | 0.379538i | ||||
\(359\) | 26.2966 | − | 15.1824i | 1.38788 | − | 0.801294i | 0.394806 | − | 0.918765i | \(-0.370812\pi\) |
0.993076 | + | 0.117470i | \(0.0374785\pi\) | |||||||
\(360\) | −33.3596 | + | 5.95001i | −1.75821 | + | 0.313593i | ||||
\(361\) | 7.59373 | − | 13.1527i | 0.399670 | − | 0.692248i | ||||
\(362\) | − | 32.3765i | − | 1.70167i | ||||||
\(363\) | 3.01332 | + | 6.05874i | 0.158158 | + | 0.318002i | ||||
\(364\) | 28.2634 | − | 19.7355i | 1.48141 | − | 1.03442i | ||||
\(365\) | −13.0288 | − | 12.0538i | −0.681956 | − | 0.630924i | ||||
\(366\) | −31.4141 | − | 20.8371i | −1.64204 | − | 1.08917i | ||||
\(367\) | −7.78705 | − | 13.4876i | −0.406481 | − | 0.704045i | 0.588012 | − | 0.808852i | \(-0.299911\pi\) |
−0.994493 | + | 0.104807i | \(0.966577\pi\) | |||||||
\(368\) | 5.51670 | − | 9.55521i | 0.287578 | − | 0.498100i | ||||
\(369\) | −18.8279 | + | 24.8831i | −0.980140 | + | 1.29536i | ||||
\(370\) | −3.00861 | − | 9.70367i | −0.156410 | − | 0.504470i | ||||
\(371\) | −23.9108 | − | 11.1877i | −1.24139 | − | 0.580838i | ||||
\(372\) | −41.4092 | − | 27.4670i | −2.14697 | − | 1.42410i | ||||
\(373\) | −28.0068 | − | 16.1697i | −1.45014 | − | 0.837237i | −0.451648 | − | 0.892196i | \(-0.649164\pi\) |
−0.998489 | + | 0.0549593i | \(0.982497\pi\) | |||||||
\(374\) | 19.1493 | 0.990189 | ||||||||
\(375\) | −6.02312 | − | 18.4044i | −0.311032 | − | 0.950399i | ||||
\(376\) | 30.5308i | 1.57451i | ||||||||
\(377\) | 15.5759i | 0.802198i | ||||||||
\(378\) | 3.38536 | − | 33.6539i | 0.174124 | − | 1.73097i | ||||
\(379\) | −7.88181 | −0.404862 | −0.202431 | − | 0.979297i | \(-0.564884\pi\) | ||||
−0.202431 | + | 0.979297i | \(0.564884\pi\) | |||||||
\(380\) | 15.6932 | + | 50.6153i | 0.805045 | + | 2.59651i | ||||
\(381\) | 18.2192 | + | 12.0849i | 0.933398 | + | 0.619128i | ||||
\(382\) | − | 1.73689i | − | 0.0888670i | ||||||
\(383\) | −7.97488 | − | 4.60430i | −0.407497 | − | 0.235269i | 0.282216 | − | 0.959351i | \(-0.408930\pi\) |
−0.689714 | + | 0.724082i | \(0.742264\pi\) | |||||||
\(384\) | 18.3030 | − | 27.5936i | 0.934020 | − | 1.40813i | ||||
\(385\) | 14.5934 | − | 5.94102i | 0.743749 | − | 0.302783i | ||||
\(386\) | 48.3071i | 2.45877i | ||||||||
\(387\) | 1.03289 | − | 8.27714i | 0.0525049 | − | 0.420751i | ||||
\(388\) | −5.63087 | + | 9.75296i | −0.285864 | + | 0.495132i | ||||
\(389\) | −11.5678 | + | 6.67865i | −0.586509 | + | 0.338621i | −0.763716 | − | 0.645552i | \(-0.776627\pi\) |
0.177207 | + | 0.984174i | \(0.443294\pi\) | |||||||
\(390\) | 8.61272 | − | 29.3950i | 0.436122 | − | 1.48848i | ||||
\(391\) | −6.46121 | + | 3.73038i | −0.326757 | + | 0.188653i | ||||
\(392\) | 34.8388 | − | 6.04951i | 1.75962 | − | 0.305546i | ||||
\(393\) | 14.6143 | + | 29.3843i | 0.737192 | + | 1.48224i | ||||
\(394\) | −28.8463 | −1.45325 | ||||||||
\(395\) | −5.70914 | + | 25.1818i | −0.287258 | + | 1.26703i | ||||
\(396\) | −25.8249 | − | 19.5405i | −1.29775 | − | 0.981948i | ||||
\(397\) | −14.0380 | − | 24.3145i | −0.704547 | − | 1.22031i | −0.966855 | − | 0.255327i | \(-0.917817\pi\) |
0.262307 | − | 0.964984i | \(-0.415517\pi\) | |||||||
\(398\) | 5.94503 | + | 3.43237i | 0.297998 | + | 0.172049i | ||||
\(399\) | −26.7867 | + | 0.640080i | −1.34101 | + | 0.0320441i | ||||
\(400\) | −19.4963 | − | 9.31930i | −0.974813 | − | 0.465965i | ||||
\(401\) | 7.46241 | + | 4.30843i | 0.372655 | + | 0.215153i | 0.674618 | − | 0.738167i | \(-0.264308\pi\) |
−0.301963 | + | 0.953320i | \(0.597642\pi\) | |||||||
\(402\) | −35.1454 | − | 23.3122i | −1.75289 | − | 1.16270i | ||||
\(403\) | 19.7048 | − | 11.3766i | 0.981565 | − | 0.566707i | ||||
\(404\) | 26.9773 | + | 46.7260i | 1.34217 | + | 2.32471i | ||||
\(405\) | −10.9606 | − | 16.8780i | −0.544636 | − | 0.838672i | ||||
\(406\) | −13.3669 | + | 28.5682i | −0.663387 | + | 1.41781i | ||||
\(407\) | 2.45914 | − | 4.25935i | 0.121895 | − | 0.211128i | ||||
\(408\) | 22.8940 | − | 11.3863i | 1.13342 | − | 0.563706i | ||||
\(409\) | 0.819612i | 0.0405272i | 0.999795 | + | 0.0202636i | \(0.00645054\pi\) | ||||
−0.999795 | + | 0.0202636i | \(0.993549\pi\) | |||||||
\(410\) | −54.6546 | + | 16.9456i | −2.69920 | + | 0.836885i | ||||
\(411\) | −16.5532 | − | 1.02883i | −0.816507 | − | 0.0507486i | ||||
\(412\) | 3.49485 | − | 6.05326i | 0.172179 | − | 0.298223i | ||||
\(413\) | 1.46361 | + | 16.9838i | 0.0720196 | + | 0.835720i | ||||
\(414\) | 18.6982 | + | 2.33332i | 0.918967 | + | 0.114677i | ||||
\(415\) | −21.4737 | + | 23.2106i | −1.05410 | + | 1.13936i | ||||
\(416\) | −0.852136 | − | 1.47594i | −0.0417794 | − | 0.0723641i | ||||
\(417\) | 0.110685 | − | 1.78084i | 0.00542028 | − | 0.0872082i | ||||
\(418\) | −19.1565 | + | 33.1801i | −0.936976 | + | 1.62289i | ||||
\(419\) | 0.359695 | + | 0.623010i | 0.0175723 | + | 0.0304360i | 0.874678 | − | 0.484705i | \(-0.161073\pi\) |
−0.857106 | + | 0.515141i | \(0.827740\pi\) | |||||||
\(420\) | 27.4688 | − | 31.1516i | 1.34034 | − | 1.52004i | ||||
\(421\) | −4.05616 | + | 7.02548i | −0.197685 | + | 0.342401i | −0.947777 | − | 0.318932i | \(-0.896676\pi\) |
0.750092 | + | 0.661333i | \(0.230009\pi\) | |||||||
\(422\) | −22.2409 | − | 38.5224i | −1.08267 | − | 1.87524i | ||||
\(423\) | −16.7045 | + | 7.05175i | −0.812200 | + | 0.342868i | ||||
\(424\) | −25.2011 | + | 43.6495i | −1.22387 | + | 2.11981i | ||||
\(425\) | 8.26625 | + | 12.0491i | 0.400972 | + | 0.584466i | ||||
\(426\) | 5.88319 | + | 3.90235i | 0.285041 | + | 0.189070i | ||||
\(427\) | 23.3180 | − | 2.00947i | 1.12844 | − | 0.0972451i | ||||
\(428\) | −13.6466 | − | 23.6366i | −0.659633 | − | 1.14252i | ||||
\(429\) | 13.2773 | − | 6.60346i | 0.641033 | − | 0.318818i | ||||
\(430\) | 10.3879 | − | 11.2282i | 0.500951 | − | 0.541471i | ||||
\(431\) | −10.1849 | − | 5.88028i | −0.490592 | − | 0.283243i | 0.234228 | − | 0.972182i | \(-0.424744\pi\) |
−0.724820 | + | 0.688938i | \(0.758077\pi\) | |||||||
\(432\) | −22.0686 | − | 4.15779i | −1.06178 | − | 0.200042i | ||||
\(433\) | −13.9056 | −0.668259 | −0.334129 | − | 0.942527i | \(-0.608442\pi\) | ||||
−0.334129 | + | 0.942527i | \(0.608442\pi\) | |||||||
\(434\) | 45.9042 | − | 3.95588i | 2.20347 | − | 0.189888i | ||||
\(435\) | 4.43483 | + | 18.2347i | 0.212634 | + | 0.874285i | ||||
\(436\) | −0.851785 | + | 1.47533i | −0.0407931 | + | 0.0706557i | ||||
\(437\) | − | 14.9271i | − | 0.714061i | ||||||
\(438\) | −15.0632 | − | 30.2870i | −0.719749 | − | 1.44717i | ||||
\(439\) | 16.3607i | 0.780855i | 0.920634 | + | 0.390427i | \(0.127673\pi\) | ||||
−0.920634 | + | 0.390427i | \(0.872327\pi\) | |||||||
\(440\) | −8.90885 | − | 28.7337i | −0.424713 | − | 1.36982i | ||||
\(441\) | 11.3567 | + | 17.6643i | 0.540794 | + | 0.841155i | ||||
\(442\) | 23.1128i | 1.09937i | ||||||||
\(443\) | 14.9094 | 0.708368 | 0.354184 | − | 0.935176i | \(-0.384759\pi\) | ||||
0.354184 | + | 0.935176i | \(0.384759\pi\) | |||||||
\(444\) | 0.804216 | − | 12.9392i | 0.0381664 | − | 0.614069i | ||||
\(445\) | −15.0803 | + | 4.67563i | −0.714874 | + | 0.221646i | ||||
\(446\) | 10.9578 | − | 18.9795i | 0.518868 | − | 0.898705i | ||||
\(447\) | 16.2740 | − | 8.09386i | 0.769732 | − | 0.382826i | ||||
\(448\) | 1.66719 | + | 19.3461i | 0.0787671 | + | 0.914018i | ||||
\(449\) | − | 19.0086i | − | 0.897073i | −0.893765 | − | 0.448536i | \(-0.851945\pi\) | ||
0.893765 | − | 0.448536i | \(-0.148055\pi\) | |||||||
\(450\) | 1.71342 | − | 36.8650i | 0.0807713 | − | 1.73783i | ||||
\(451\) | −23.9902 | − | 13.8508i | −1.12966 | − | 0.652208i | ||||
\(452\) | 20.8697 | + | 36.1474i | 0.981627 | + | 1.70023i | ||||
\(453\) | −42.1211 | − | 2.61796i | −1.97902 | − | 0.123003i | ||||
\(454\) | 31.6829 | − | 18.2921i | 1.48695 | − | 0.858491i | ||||
\(455\) | 7.17069 | + | 17.6139i | 0.336167 | + | 0.825754i | ||||
\(456\) | −3.17348 | + | 51.0590i | −0.148612 | + | 2.39106i | ||||
\(457\) | 33.7447i | 1.57851i | 0.614066 | + | 0.789254i | \(0.289533\pi\) | ||||
−0.614066 | + | 0.789254i | \(0.710467\pi\) | |||||||
\(458\) | 32.4134 | + | 18.7139i | 1.51458 | + | 0.874442i | ||||
\(459\) | 11.5177 | + | 9.89618i | 0.537601 | + | 0.461914i | ||||
\(460\) | 16.9840 | + | 15.7131i | 0.791885 | + | 0.732626i | ||||
\(461\) | 15.4785 | − | 26.8095i | 0.720904 | − | 1.24864i | −0.239734 | − | 0.970839i | \(-0.577060\pi\) |
0.960638 | − | 0.277803i | \(-0.0896064\pi\) | |||||||
\(462\) | 30.0192 | − | 0.717323i | 1.39662 | − | 0.0333729i | ||||
\(463\) | 22.1846 | − | 12.8083i | 1.03101 | − | 0.595252i | 0.113734 | − | 0.993511i | \(-0.463719\pi\) |
0.917273 | + | 0.398259i | \(0.130385\pi\) | |||||||
\(464\) | 18.1354 | + | 10.4705i | 0.841917 | + | 0.486081i | ||||
\(465\) | 19.8292 | − | 18.9289i | 0.919556 | − | 0.877809i | ||||
\(466\) | 12.0999 | + | 20.9577i | 0.560519 | + | 0.970848i | ||||
\(467\) | 20.3304 | − | 11.7377i | 0.940777 | − | 0.543158i | 0.0505730 | − | 0.998720i | \(-0.483895\pi\) |
0.890204 | + | 0.455563i | \(0.150562\pi\) | |||||||
\(468\) | 23.5850 | − | 31.1701i | 1.09022 | − | 1.44084i | ||||
\(469\) | 26.0877 | − | 2.24816i | 1.20462 | − | 0.103810i | ||||
\(470\) | −32.4276 | − | 7.35190i | −1.49577 | − | 0.339118i | ||||
\(471\) | 0.803683 | − | 1.21163i | 0.0370317 | − | 0.0558291i | ||||
\(472\) | 32.5468 | 1.49809 | ||||||||
\(473\) | 7.40519 | 0.340491 | ||||||||
\(474\) | −27.2003 | + | 41.0072i | −1.24935 | + | 1.88352i | ||||
\(475\) | −29.1468 | + | 2.26934i | −1.33735 | + | 0.104124i | ||||
\(476\) | −13.2814 | + | 28.3854i | −0.608750 | + | 1.30104i | ||||
\(477\) | −29.7030 | − | 3.70659i | −1.36000 | − | 0.169713i | ||||
\(478\) | 2.18930 | − | 1.26399i | 0.100136 | − | 0.0578136i | ||||
\(479\) | 10.4247 | + | 18.0560i | 0.476315 | + | 0.825002i | 0.999632 | − | 0.0271366i | \(-0.00863892\pi\) |
−0.523317 | + | 0.852138i | \(0.675306\pi\) | |||||||
\(480\) | −1.41783 | − | 1.48526i | −0.0647149 | − | 0.0677925i | ||||
\(481\) | 5.14095 | + | 2.96813i | 0.234407 | + | 0.135335i | ||||
\(482\) | 3.12482 | − | 1.80411i | 0.142332 | − | 0.0821752i | ||||
\(483\) | −9.98909 | + | 6.08991i | −0.454519 | + | 0.277101i | ||||
\(484\) | −7.91738 | + | 13.7133i | −0.359881 | + | 0.623332i | ||||
\(485\) | −4.56053 | − | 4.21925i | −0.207083 | − | 0.191586i | ||||
\(486\) | −8.11615 | − | 37.4840i | −0.368156 | − | 1.70031i | ||||
\(487\) | 2.46902 | + | 1.42549i | 0.111882 | + | 0.0645950i | 0.554897 | − | 0.831919i | \(-0.312758\pi\) |
−0.443015 | + | 0.896514i | \(0.646091\pi\) | |||||||
\(488\) | − | 44.6853i | − | 2.02281i | ||||||
\(489\) | 0.593408 | − | 9.54750i | 0.0268349 | − | 0.431753i | ||||
\(490\) | −1.96392 | + | 38.4600i | −0.0887208 | + | 1.73744i | ||||
\(491\) | −2.27102 | + | 1.31117i | −0.102490 | + | 0.0591724i | −0.550369 | − | 0.834922i | \(-0.685513\pi\) |
0.447879 | + | 0.894094i | \(0.352180\pi\) | |||||||
\(492\) | −72.8785 | − | 4.52964i | −3.28562 | − | 0.204212i | ||||
\(493\) | −7.08013 | − | 12.2631i | −0.318873 | − | 0.552304i | ||||
\(494\) | −40.0476 | − | 23.1215i | −1.80183 | − | 1.04029i | ||||
\(495\) | 13.6635 | − | 11.5110i | 0.614130 | − | 0.517382i | ||||
\(496\) | − | 30.5905i | − | 1.37355i | ||||||
\(497\) | −4.36697 | + | 0.376332i | −0.195886 | + | 0.0168808i | ||||
\(498\) | −53.9559 | + | 26.8350i | −2.41782 | + | 1.20250i | ||||
\(499\) | −11.2247 | + | 19.4418i | −0.502488 | + | 0.870335i | 0.497508 | + | 0.867460i | \(0.334249\pi\) |
−0.999996 | + | 0.00287566i | \(0.999085\pi\) | |||||||
\(500\) | 28.0994 | − | 35.5520i | 1.25664 | − | 1.58993i | ||||
\(501\) | −1.77896 | + | 28.6222i | −0.0794781 | + | 1.27874i | ||||
\(502\) | 14.6047 | 0.651840 | ||||||||
\(503\) | 26.1144i | 1.16438i | 0.813052 | + | 0.582192i | \(0.197805\pi\) | ||||
−0.813052 | + | 0.582192i | \(0.802195\pi\) | |||||||
\(504\) | 35.4629 | − | 18.7072i | 1.57964 | − | 0.833284i | ||||
\(505\) | −28.4307 | + | 8.81492i | −1.26515 | + | 0.392259i | ||||
\(506\) | 16.7285i | 0.743671i | ||||||||
\(507\) | −2.05676 | − | 4.13545i | −0.0913441 | − | 0.183662i | ||||
\(508\) | 51.1612i | 2.26991i | ||||||||
\(509\) | 0.143733 | − | 0.248952i | 0.00637084 | − | 0.0110346i | −0.862822 | − | 0.505507i | \(-0.831305\pi\) |
0.869193 | + | 0.494473i | \(0.164639\pi\) | |||||||
\(510\) | 6.58079 | + | 27.0582i | 0.291402 | + | 1.19816i | ||||
\(511\) | 19.0222 | + | 8.90036i | 0.841491 | + | 0.393729i | ||||
\(512\) | 41.3715 | 1.82838 | ||||||||
\(513\) | −28.6692 | + | 10.0569i | −1.26577 | + | 0.444021i | ||||
\(514\) | 1.28863 | + | 0.743993i | 0.0568392 | + | 0.0328161i | ||||
\(515\) | 2.83053 | + | 2.61871i | 0.124728 | + | 0.115394i | ||||
\(516\) | 17.4773 | − | 8.69233i | 0.769394 | − | 0.382658i | ||||
\(517\) | −8.04850 | − | 13.9404i | −0.353973 | − | 0.613099i | ||||
\(518\) | 6.88198 | + | 9.85578i | 0.302377 | + | 0.433038i | ||||
\(519\) | 25.5573 | + | 16.9523i | 1.12184 | + | 0.744122i | ||||
\(520\) | 34.6809 | − | 10.7528i | 1.52086 | − | 0.471541i | ||||
\(521\) | 9.06706 | − | 15.7046i | 0.397235 | − | 0.688031i | −0.596149 | − | 0.802874i | \(-0.703303\pi\) |
0.993384 | + | 0.114843i | \(0.0366364\pi\) | |||||||
\(522\) | −4.42856 | + | 35.4885i | −0.193833 | + | 1.55329i | ||||
\(523\) | −4.97014 | − | 8.60854i | −0.217329 | − | 0.376425i | 0.736661 | − | 0.676262i | \(-0.236401\pi\) |
−0.953991 | + | 0.299837i | \(0.903068\pi\) | |||||||
\(524\) | −38.3985 | + | 66.5081i | −1.67745 | + | 2.90542i | ||||
\(525\) | 13.4098 | + | 18.5789i | 0.585253 | + | 0.810851i | ||||
\(526\) | −24.3460 | − | 42.1685i | −1.06154 | − | 1.83863i | ||||
\(527\) | −10.3426 | + | 17.9139i | −0.450530 | + | 0.780342i | ||||
\(528\) | 1.23673 | − | 19.8981i | 0.0538219 | − | 0.865955i | ||||
\(529\) | 8.24122 | + | 14.2742i | 0.358314 | + | 0.620618i | ||||
\(530\) | −40.2929 | − | 37.2777i | −1.75021 | − | 1.61924i | ||||
\(531\) | 7.51740 | + | 17.8075i | 0.326228 | + | 0.772781i | ||||
\(532\) | −35.8971 | − | 51.4087i | −1.55634 | − | 2.22885i | ||||
\(533\) | 16.7176 | − | 28.9557i | 0.724119 | − | 1.25421i | ||||
\(534\) | −30.0311 | − | 1.86653i | −1.29957 | − | 0.0807726i | ||||
\(535\) | 14.3818 | − | 4.45907i | 0.621781 | − | 0.192782i | ||||
\(536\) | − | 49.9930i | − | 2.15937i | ||||||
\(537\) | −9.05316 | + | 4.50259i | −0.390673 | + | 0.194301i | ||||
\(538\) | 25.0875 | − | 43.4529i | 1.08160 | − | 1.87339i | ||||
\(539\) | −14.3127 | + | 11.9464i | −0.616490 | + | 0.514567i | ||||
\(540\) | 18.7360 | − | 43.2060i | 0.806269 | − | 1.85929i | ||||
\(541\) | 16.8304 | + | 29.1511i | 0.723594 | + | 1.25330i | 0.959550 | + | 0.281539i | \(0.0908447\pi\) |
−0.235955 | + | 0.971764i | \(0.575822\pi\) | |||||||
\(542\) | −25.6053 | + | 14.7832i | −1.09984 | + | 0.634993i | ||||
\(543\) | 18.9942 | + | 12.5990i | 0.815121 | + | 0.540674i | ||||
\(544\) | 1.34180 | + | 0.774689i | 0.0575292 | + | 0.0332145i | ||||
\(545\) | −0.689873 | − | 0.638248i | −0.0295509 | − | 0.0273395i | ||||
\(546\) | 0.865793 | + | 36.2325i | 0.0370525 | + | 1.55061i | ||||
\(547\) | −38.7934 | − | 22.3974i | −1.65869 | − | 0.957644i | −0.973322 | − | 0.229445i | \(-0.926309\pi\) |
−0.685366 | − | 0.728199i | \(-0.740358\pi\) | |||||||
\(548\) | −19.4054 | − | 33.6111i | −0.828956 | − | 1.43579i | ||||
\(549\) | 24.4489 | − | 10.3210i | 1.04345 | − | 0.440491i | ||||
\(550\) | 32.6641 | − | 2.54319i | 1.39280 | − | 0.108442i | ||||
\(551\) | 28.3311 | 1.20695 | ||||||||
\(552\) | 9.94685 | + | 19.9997i | 0.423366 | + | 0.851243i | ||||
\(553\) | −2.62312 | − | 30.4388i | −0.111546 | − | 1.29439i | ||||
\(554\) | −29.6095 | + | 17.0951i | −1.25799 | + | 0.726300i | ||||
\(555\) | 6.86360 | + | 2.01103i | 0.291343 | + | 0.0853634i | ||||
\(556\) | 3.61599 | − | 2.08769i | 0.153352 | − | 0.0885378i | ||||
\(557\) | 14.4946 | − | 25.1054i | 0.614156 | − | 1.06375i | −0.376376 | − | 0.926467i | \(-0.622830\pi\) |
0.990532 | − | 0.137282i | \(-0.0438368\pi\) | |||||||
\(558\) | 48.1305 | − | 20.3182i | 2.03753 | − | 0.860137i | ||||
\(559\) | 8.93791i | 0.378033i | ||||||||
\(560\) | 25.3287 | + | 3.49150i | 1.07033 | + | 0.147543i | ||||
\(561\) | −7.45177 | + | 11.2343i | −0.314614 | + | 0.474312i | ||||
\(562\) | −22.3437 | − | 12.9001i | −0.942512 | − | 0.544160i | ||||
\(563\) | 12.7952i | 0.539255i | 0.962965 | + | 0.269627i | \(0.0869005\pi\) | ||||
−0.962965 | + | 0.269627i | \(0.913099\pi\) | |||||||
\(564\) | −35.3590 | − | 23.4539i | −1.48888 | − | 0.987586i | ||||
\(565\) | −21.9941 | + | 6.81924i | −0.925297 | + | 0.286887i | ||||
\(566\) | 3.09652 | 0.130156 | ||||||||
\(567\) | 18.4263 | + | 15.0822i | 0.773831 | + | 0.633392i | ||||
\(568\) | 8.36861i | 0.351139i | ||||||||
\(569\) | − | 4.99145i | − | 0.209253i | −0.994512 | − | 0.104626i | \(-0.966635\pi\) | ||
0.994512 | − | 0.104626i | \(-0.0333647\pi\) | |||||||
\(570\) | −53.4670 | − | 15.6658i | −2.23949 | − | 0.656168i | ||||
\(571\) | 41.5956 | 1.74072 | 0.870361 | − | 0.492414i | \(-0.163885\pi\) | ||||
0.870361 | + | 0.492414i | \(0.163885\pi\) | |||||||
\(572\) | 30.0517 | + | 17.3504i | 1.25652 | + | 0.725455i | ||||
\(573\) | 1.01898 | + | 0.675893i | 0.0425683 | + | 0.0282358i | ||||
\(574\) | 55.5114 | − | 38.7619i | 2.31700 | − | 1.61789i | ||||
\(575\) | −10.5258 | + | 7.22123i | −0.438957 | + | 0.301146i | ||||
\(576\) | 8.56300 | + | 20.2844i | 0.356792 | + | 0.845183i | ||||
\(577\) | 1.85205 | − | 3.20784i | 0.0771019 | − | 0.133544i | −0.824897 | − | 0.565284i | \(-0.808767\pi\) |
0.901998 | + | 0.431739i | \(0.142100\pi\) | |||||||
\(578\) | 10.4066 | + | 18.0248i | 0.432857 | + | 0.749731i | ||||
\(579\) | −28.3402 | − | 18.7982i | −1.17778 | − | 0.781227i | ||||
\(580\) | −29.8228 | + | 32.2351i | −1.23833 | + | 1.33849i | ||||
\(581\) | 15.8559 | − | 33.8878i | 0.657813 | − | 1.40590i | ||||
\(582\) | −5.27266 | − | 10.6015i | −0.218559 | − | 0.439447i | ||||
\(583\) | − | 26.5739i | − | 1.10058i | ||||||
\(584\) | 20.0486 | − | 34.7252i | 0.829618 | − | 1.43694i | ||||
\(585\) | 13.8936 | + | 16.4916i | 0.574428 | + | 0.681843i | ||||
\(586\) | −21.0854 | + | 12.1737i | −0.871030 | + | 0.502890i | ||||
\(587\) | −26.9691 | − | 15.5706i | −1.11314 | − | 0.642669i | −0.173496 | − | 0.984835i | \(-0.555506\pi\) |
−0.939640 | + | 0.342165i | \(0.888840\pi\) | |||||||
\(588\) | −19.7570 | + | 44.9955i | −0.814767 | + | 1.85558i | ||||
\(589\) | −20.6930 | − | 35.8413i | −0.852638 | − | 1.47681i | ||||
\(590\) | −7.83737 | + | 34.5689i | −0.322659 | + | 1.42318i | ||||
\(591\) | 11.2252 | − | 16.9232i | 0.461745 | − | 0.696126i | ||||
\(592\) | 6.91175 | − | 3.99050i | 0.284071 | − | 0.164009i | ||||
\(593\) | −1.87838 | + | 1.08448i | −0.0771357 | + | 0.0445343i | −0.538072 | − | 0.842899i | \(-0.680847\pi\) |
0.460936 | + | 0.887433i | \(0.347514\pi\) | |||||||
\(594\) | 32.1288 | − | 11.2705i | 1.31826 | − | 0.462433i | ||||
\(595\) | −13.6521 | − | 10.6082i | −0.559683 | − | 0.434896i | ||||
\(596\) | 36.8344 | + | 21.2663i | 1.50879 | + | 0.871103i | ||||
\(597\) | −4.32711 | + | 2.15209i | −0.177097 | + | 0.0880790i | ||||
\(598\) | −20.1909 | −0.825668 | ||||||||
\(599\) | 23.2544i | 0.950151i | 0.879945 | + | 0.475075i | \(0.157579\pi\) | ||||
−0.879945 | + | 0.475075i | \(0.842421\pi\) | |||||||
\(600\) | 37.5393 | − | 22.4628i | 1.53254 | − | 0.917040i | ||||
\(601\) | 14.8394 | + | 8.56753i | 0.605311 | + | 0.349477i | 0.771128 | − | 0.636680i | \(-0.219693\pi\) |
−0.165817 | + | 0.986157i | \(0.553026\pi\) | |||||||
\(602\) | −7.67032 | + | 16.3933i | −0.312619 | + | 0.668141i | ||||
\(603\) | 27.3530 | − | 11.5470i | 1.11390 | − | 0.470229i | ||||
\(604\) | −49.3788 | − | 85.5265i | −2.00919 | − | 3.48003i | ||||
\(605\) | −6.41240 | − | 5.93255i | −0.260701 | − | 0.241192i | ||||
\(606\) | −56.6172 | − | 3.51895i | −2.29992 | − | 0.142947i | ||||
\(607\) | 23.4891 | − | 40.6843i | 0.953393 | − | 1.65132i | 0.215389 | − | 0.976528i | \(-0.430898\pi\) |
0.738004 | − | 0.674796i | \(-0.235769\pi\) | |||||||
\(608\) | −2.68461 | + | 1.54996i | −0.108875 | + | 0.0628592i | ||||
\(609\) | −11.5584 | − | 18.9589i | −0.468371 | − | 0.768255i | ||||
\(610\) | 47.4615 | + | 10.7603i | 1.92166 | + | 0.435674i | ||||
\(611\) | 16.8258 | − | 9.71437i | 0.680698 | − | 0.393001i | ||||
\(612\) | −4.40023 | + | 35.2615i | −0.177869 | + | 1.42536i | ||||
\(613\) | −3.19097 | − | 1.84230i | −0.128882 | − | 0.0744100i | 0.434173 | − | 0.900830i | \(-0.357041\pi\) |
−0.563055 | + | 0.826420i | \(0.690374\pi\) | |||||||
\(614\) | 29.0501 | 1.17237 | ||||||||
\(615\) | 11.3269 | − | 38.6583i | 0.456743 | − | 1.55885i | ||||
\(616\) | 20.3784 | + | 29.1841i | 0.821067 | + | 1.17586i | ||||
\(617\) | −5.72414 | − | 9.91450i | −0.230445 | − | 0.399143i | 0.727494 | − | 0.686114i | \(-0.240685\pi\) |
−0.957939 | + | 0.286971i | \(0.907352\pi\) | |||||||
\(618\) | 3.27252 | + | 6.57992i | 0.131640 | + | 0.264683i | ||||
\(619\) | 5.77980 | − | 3.33697i | 0.232310 | − | 0.134124i | −0.379327 | − | 0.925263i | \(-0.623845\pi\) |
0.611637 | + | 0.791138i | \(0.290511\pi\) | |||||||
\(620\) | 62.5625 | + | 14.1840i | 2.51257 | + | 0.569643i | ||||
\(621\) | −8.64510 | + | 10.0616i | −0.346916 | + | 0.403760i | ||||
\(622\) | −14.2990 | −0.573337 | ||||||||
\(623\) | 15.3167 | − | 10.6952i | 0.613650 | − | 0.428493i | ||||
\(624\) | 24.0166 | + | 1.49271i | 0.961434 | + | 0.0597563i | ||||
\(625\) | 15.7004 | + | 19.4550i | 0.628017 | + | 0.778199i | ||||
\(626\) | −79.9730 | −3.19636 | ||||||||
\(627\) | −12.0111 | − | 24.1502i | −0.479677 | − | 0.964466i | ||||
\(628\) | 3.40237 | 0.135769 | ||||||||
\(629\) | −5.39673 | −0.215182 | ||||||||
\(630\) | 11.3299 | + | 42.1709i | 0.451393 | + | 1.68013i | ||||
\(631\) | 37.2873 | 1.48438 | 0.742192 | − | 0.670187i | \(-0.233786\pi\) | ||||
0.742192 | + | 0.670187i | \(0.233786\pi\) | |||||||
\(632\) | −58.3312 | −2.32029 | ||||||||
\(633\) | 31.2546 | + | 1.94258i | 1.24226 | + | 0.0772106i | ||||
\(634\) | −32.0035 | −1.27102 | ||||||||
\(635\) | −27.5262 | − | 6.24068i | −1.09235 | − | 0.247654i | ||||
\(636\) | −31.1929 | − | 62.7182i | −1.23688 | − | 2.48694i | ||||
\(637\) | −14.4190 | − | 17.2751i | −0.571302 | − | 0.684464i | ||||
\(638\) | −31.7500 | −1.25700 | ||||||||
\(639\) | −4.57877 | + | 1.93291i | −0.181133 | + | 0.0764649i | ||||
\(640\) | −9.45171 | + | 41.6894i | −0.373612 | + | 1.64792i | ||||
\(641\) | −41.3232 | + | 23.8580i | −1.63217 | + | 0.942334i | −0.648747 | + | 0.761004i | \(0.724707\pi\) |
−0.983422 | + | 0.181329i | \(0.941960\pi\) | |||||||
\(642\) | 28.6401 | + | 1.78008i | 1.13034 | + | 0.0702541i | ||||
\(643\) | 8.77430 | + | 15.1975i | 0.346025 | + | 0.599332i | 0.985539 | − | 0.169447i | \(-0.0541980\pi\) |
−0.639515 | + | 0.768779i | \(0.720865\pi\) | |||||||
\(644\) | −24.7969 | − | 11.6023i | −0.977136 | − | 0.457196i | ||||
\(645\) | 2.54484 | + | 10.4636i | 0.100203 | + | 0.412004i | ||||
\(646\) | 42.0402 | 1.65405 | ||||||||
\(647\) | −12.4689 | − | 7.19895i | −0.490205 | − | 0.283020i | 0.234455 | − | 0.972127i | \(-0.424670\pi\) |
−0.724659 | + | 0.689107i | \(0.758003\pi\) | |||||||
\(648\) | 31.7101 | − | 32.5784i | 1.24569 | − | 1.27980i | ||||
\(649\) | −14.8609 | + | 8.57997i | −0.583343 | + | 0.336793i | ||||
\(650\) | 3.06958 | + | 39.4249i | 0.120399 | + | 1.54637i | ||||
\(651\) | −15.5424 | + | 28.4699i | −0.609154 | + | 1.11582i | ||||
\(652\) | 19.3861 | − | 11.1926i | 0.759219 | − | 0.438336i | ||||
\(653\) | −1.51264 | + | 2.61997i | −0.0591942 | + | 0.102527i | −0.894104 | − | 0.447860i | \(-0.852186\pi\) |
0.834910 | + | 0.550387i | \(0.185520\pi\) | |||||||
\(654\) | −0.797598 | − | 1.60370i | −0.0311886 | − | 0.0627095i | ||||
\(655\) | −31.0995 | − | 28.7722i | −1.21516 | − | 1.12422i | ||||
\(656\) | −22.4760 | − | 38.9295i | −0.877540 | − | 1.51994i | ||||
\(657\) | 23.6301 | + | 2.94877i | 0.921897 | + | 0.115042i | ||||
\(658\) | 39.1973 | − | 3.37790i | 1.52807 | − | 0.131684i | ||||
\(659\) | −17.9871 | − | 10.3849i | −0.700678 | − | 0.404537i | 0.106922 | − | 0.994267i | \(-0.465900\pi\) |
−0.807600 | + | 0.589731i | \(0.799234\pi\) | |||||||
\(660\) | 40.1215 | + | 11.7556i | 1.56173 | + | 0.457585i | ||||
\(661\) | 37.6518i | 1.46449i | 0.681043 | + | 0.732244i | \(0.261527\pi\) | ||||
−0.681043 | + | 0.732244i | \(0.738473\pi\) | |||||||
\(662\) | −0.435571 | −0.0169289 | ||||||||
\(663\) | −13.5595 | − | 8.99413i | −0.526609 | − | 0.349303i | ||||
\(664\) | −61.8626 | − | 35.7164i | −2.40074 | − | 1.38607i | ||||
\(665\) | 32.0382 | − | 13.0428i | 1.24239 | − | 0.505780i | ||||
\(666\) | 10.8694 | + | 8.22435i | 0.421180 | + | 0.318687i | ||||
\(667\) | 10.7128 | − | 6.18505i | 0.414802 | − | 0.239486i | ||||
\(668\) | −58.1171 | + | 33.5539i | −2.24862 | + | 1.29824i | ||||
\(669\) | 6.87053 | + | 13.8143i | 0.265630 | + | 0.534091i | ||||
\(670\) | 53.0990 | + | 12.0385i | 2.05139 | + | 0.465086i | ||||
\(671\) | 11.7799 | + | 20.4034i | 0.454758 | + | 0.787664i | ||||
\(672\) | 2.13248 | + | 1.16417i | 0.0822620 | + | 0.0449088i | ||||
\(673\) | −8.02091 | − | 4.63087i | −0.309183 | − | 0.178507i | 0.337378 | − | 0.941369i | \(-0.390460\pi\) |
−0.646561 | + | 0.762862i | \(0.723793\pi\) | |||||||
\(674\) | 8.75078 | − | 5.05227i | 0.337068 | − | 0.194606i | ||||
\(675\) | 20.9607 | + | 15.3508i | 0.806778 | + | 0.590854i | ||||
\(676\) | 5.40408 | − | 9.36014i | 0.207849 | − | 0.360005i | ||||
\(677\) | 40.7161i | 1.56485i | 0.622747 | + | 0.782423i | \(0.286017\pi\) | ||||
−0.622747 | + | 0.782423i | \(0.713983\pi\) | |||||||
\(678\) | −43.7992 | − | 2.72226i | −1.68210 | − | 0.104548i | ||||
\(679\) | 6.65843 | + | 3.11544i | 0.255527 | + | 0.119560i | ||||
\(680\) | −22.4171 | + | 24.2303i | −0.859657 | + | 0.929190i | ||||
\(681\) | −1.59768 | + | 25.7055i | −0.0612233 | + | 0.985037i | ||||
\(682\) | 23.1901 | + | 40.1664i | 0.887995 | + | 1.53805i | ||||
\(683\) | −8.02097 | + | 13.8927i | −0.306914 | + | 0.531591i | −0.977686 | − | 0.210073i | \(-0.932630\pi\) |
0.670772 | + | 0.741664i | \(0.265963\pi\) | |||||||
\(684\) | −56.6957 | − | 42.8990i | −2.16782 | − | 1.64028i | ||||
\(685\) | 20.4509 | − | 6.34077i | 0.781387 | − | 0.242268i | ||||
\(686\) | −11.6213 | − | 44.0588i | −0.443702 | − | 1.68217i | ||||
\(687\) | −23.5922 | + | 11.7336i | −0.900097 | + | 0.447663i | ||||
\(688\) | 10.4067 | + | 6.00829i | 0.396750 | + | 0.229064i | ||||
\(689\) | 32.0742 | 1.22193 | ||||||||
\(690\) | −23.6375 | + | 5.74884i | −0.899863 | + | 0.218855i | ||||
\(691\) | 33.6808i | 1.28128i | 0.767843 | + | 0.640638i | \(0.221330\pi\) | ||||
−0.767843 | + | 0.640638i | \(0.778670\pi\) | |||||||
\(692\) | 71.7671i | 2.72818i | ||||||||
\(693\) | −11.2608 | + | 17.8904i | −0.427764 | + | 0.679601i | ||||
\(694\) | 17.4147 | 0.661053 | ||||||||
\(695\) | 0.682160 | + | 2.20017i | 0.0258758 | + | 0.0834571i | ||||
\(696\) | −37.9587 | + | 18.8788i | −1.43882 | + | 0.715597i | ||||
\(697\) | 30.3964i | 1.15135i | ||||||||
\(698\) | −13.6074 | − | 7.85622i | −0.515047 | − | 0.297362i | ||||
\(699\) | −17.0038 | − | 1.05684i | −0.643142 | − | 0.0399734i | ||||
\(700\) | −18.8850 | + | 50.1825i | −0.713785 | + | 1.89672i | ||||
\(701\) | − | 17.2695i | − | 0.652260i | −0.945325 | − | 0.326130i | \(-0.894255\pi\) | ||
0.945325 | − | 0.326130i | \(-0.105745\pi\) | |||||||
\(702\) | 13.6032 | + | 38.7788i | 0.513421 | + | 1.46361i | ||||
\(703\) | 5.39876 | − | 9.35093i | 0.203618 | − | 0.352677i | ||||
\(704\) | −16.9280 | + | 9.77336i | −0.637996 | + | 0.368347i | ||||
\(705\) | 16.9320 | − | 16.1633i | 0.637696 | − | 0.608746i | ||||
\(706\) | 17.3822 | − | 10.0356i | 0.654188 | − | 0.377696i | ||||
\(707\) | 28.8764 | − | 20.1635i | 1.08601 | − | 0.758326i | ||||
\(708\) | −25.0026 | + | 37.6939i | −0.939655 | + | 1.41662i | ||||
\(709\) | −37.6381 | −1.41353 | −0.706765 | − | 0.707449i | \(-0.749846\pi\) | ||||
−0.706765 | + | 0.707449i | \(0.749846\pi\) | |||||||
\(710\) | −8.88854 | − | 2.01519i | −0.333581 | − | 0.0756286i | ||||
\(711\) | −13.4729 | − | 31.9151i | −0.505272 | − | 1.19691i | ||||
\(712\) | −17.8337 | − | 30.8889i | −0.668346 | − | 1.15761i | ||||
\(713\) | −15.6492 | − | 9.03508i | −0.586068 | − | 0.338366i | ||||
\(714\) | −17.1514 | − | 28.1329i | −0.641875 | − | 1.05285i | ||||
\(715\) | −13.0007 | + | 14.0523i | −0.486200 | + | 0.525526i | ||||
\(716\) | −20.4908 | − | 11.8304i | −0.765779 | − | 0.442123i | ||||
\(717\) | −0.110400 | + | 1.77626i | −0.00412297 | + | 0.0663355i | ||||
\(718\) | −64.6980 | + | 37.3534i | −2.41451 | + | 1.39402i | ||||
\(719\) | 18.6835 | + | 32.3608i | 0.696778 | + | 1.20686i | 0.969578 | + | 0.244784i | \(0.0787171\pi\) |
−0.272799 | + | 0.962071i | \(0.587950\pi\) | |||||||
\(720\) | 28.5412 | − | 5.09060i | 1.06367 | − | 0.189716i | ||||
\(721\) | −4.13261 | − | 1.93362i | −0.153907 | − | 0.0720119i | ||||
\(722\) | −18.6830 | + | 32.3599i | −0.695309 | + | 1.20431i | ||||
\(723\) | −0.157576 | + | 2.53528i | −0.00586032 | + | 0.0942881i | ||||
\(724\) | 53.3376i | 1.98227i | ||||||||
\(725\) | −13.7056 | − | 19.9776i | −0.509014 | − | 0.741951i | ||||
\(726\) | −7.41372 | − | 14.9064i | −0.275149 | − | 0.553230i | ||||
\(727\) | −3.14519 | + | 5.44762i | −0.116648 | + | 0.202041i | −0.918438 | − | 0.395566i | \(-0.870548\pi\) |
0.801789 | + | 0.597607i | \(0.203882\pi\) | |||||||
\(728\) | −35.2246 | + | 24.5962i | −1.30551 | + | 0.911597i | ||||
\(729\) | 25.1489 | + | 9.82502i | 0.931442 | + | 0.363890i | ||||
\(730\) | 32.0549 | + | 29.6561i | 1.18640 | + | 1.09762i | ||||
\(731\) | −4.06279 | − | 7.03696i | −0.150268 | − | 0.260271i | ||||
\(732\) | 51.7520 | + | 34.3274i | 1.91281 | + | 1.26878i | ||||
\(733\) | −7.26635 | + | 12.5857i | −0.268389 | + | 0.464863i | −0.968446 | − | 0.249224i | \(-0.919825\pi\) |
0.700057 | + | 0.714087i | \(0.253158\pi\) | |||||||
\(734\) | 19.1586 | + | 33.1837i | 0.707157 | + | 1.22483i | ||||
\(735\) | −21.7990 | − | 16.1185i | −0.804067 | − | 0.594539i | ||||
\(736\) | −0.676753 | + | 1.17217i | −0.0249454 | + | 0.0432068i | ||||
\(737\) | 13.1791 | + | 22.8269i | 0.485459 | + | 0.840840i | ||||
\(738\) | 46.3226 | − | 61.2203i | 1.70516 | − | 2.25355i | ||||
\(739\) | 18.0479 | − | 31.2599i | 0.663903 | − | 1.14991i | −0.315679 | − | 0.948866i | \(-0.602232\pi\) |
0.979582 | − | 0.201047i | \(-0.0644344\pi\) | |||||||
\(740\) | 4.95644 | + | 15.9860i | 0.182202 | + | 0.587656i | ||||
\(741\) | 29.1488 | − | 14.4971i | 1.07081 | − | 0.532566i | ||||
\(742\) | 58.8282 | + | 27.5254i | 2.15965 | + | 1.01049i | ||||
\(743\) | 8.25448 | + | 14.2972i | 0.302827 | + | 0.524512i | 0.976775 | − | 0.214266i | \(-0.0687361\pi\) |
−0.673948 | + | 0.738779i | \(0.735403\pi\) | |||||||
\(744\) | 51.6081 | + | 34.2319i | 1.89204 | + | 1.25500i | ||||
\(745\) | −15.9350 | + | 17.2239i | −0.583813 | + | 0.631035i | ||||
\(746\) | 68.9056 | + | 39.7827i | 2.52281 | + | 1.45655i | ||||
\(747\) | 5.25319 | − | 42.0967i | 0.192204 | − | 1.54024i | ||||
\(748\) | −31.5469 | −1.15347 | ||||||||
\(749\) | −14.6073 | + | 10.1998i | −0.533738 | + | 0.372693i | ||||
\(750\) | 14.8188 | + | 45.2807i | 0.541105 | + | 1.65342i | ||||
\(751\) | 25.1862 | − | 43.6238i | 0.919058 | − | 1.59185i | 0.118209 | − | 0.992989i | \(-0.462285\pi\) |
0.800849 | − | 0.598866i | \(-0.204382\pi\) | |||||||
\(752\) | − | 26.1210i | − | 0.952535i | ||||||
\(753\) | −5.68328 | + | 8.56811i | −0.207110 | + | 0.312239i | ||||
\(754\) | − | 38.3216i | − | 1.39559i | ||||||
\(755\) | 52.0391 | − | 16.1347i | 1.89390 | − | 0.587201i | ||||
\(756\) | −5.57709 | + | 55.4420i | −0.202837 | + | 2.01641i | ||||
\(757\) | 10.1798i | 0.369990i | 0.982740 | + | 0.184995i | \(0.0592268\pi\) | ||||
−0.982740 | + | 0.184995i | \(0.940773\pi\) | |||||||
\(758\) | 19.3918 | 0.704341 | ||||||||
\(759\) | −9.81405 | − | 6.50972i | −0.356227 | − | 0.236288i | ||||
\(760\) | −19.5584 | − | 63.0816i | −0.709457 | − | 2.28821i | ||||
\(761\) | 6.15740 | − | 10.6649i | 0.223206 | − | 0.386604i | −0.732574 | − | 0.680687i | \(-0.761681\pi\) |
0.955780 | + | 0.294084i | \(0.0950145\pi\) | |||||||
\(762\) | −44.8250 | − | 29.7327i | −1.62384 | − | 1.07710i | ||||
\(763\) | 1.00722 | + | 0.471274i | 0.0364640 | + | 0.0170613i | ||||
\(764\) | 2.86138i | 0.103521i | ||||||||
\(765\) | −18.4350 | − | 6.66868i | −0.666518 | − | 0.241106i | ||||
\(766\) | 19.6207 | + | 11.3280i | 0.708926 | + | 0.409299i | ||||
\(767\) | −10.3558 | − | 17.9368i | −0.373928 | − | 0.647662i | ||||
\(768\) | −30.9779 | + | 46.7022i | −1.11782 | + | 1.68522i | ||||
\(769\) | −43.8281 | + | 25.3041i | −1.58048 | + | 0.912491i | −0.585692 | + | 0.810534i | \(0.699177\pi\) |
−0.994789 | + | 0.101957i | \(0.967490\pi\) | |||||||
\(770\) | −35.9044 | + | 14.6168i | −1.29391 | + | 0.526753i | ||||
\(771\) | −0.937935 | + | 0.466482i | −0.0337789 | + | 0.0167999i | ||||
\(772\) | − | 79.5818i | − | 2.86421i | ||||||
\(773\) | −31.7653 | − | 18.3397i | −1.14252 | − | 0.659634i | −0.195466 | − | 0.980711i | \(-0.562622\pi\) |
−0.947053 | + | 0.321077i | \(0.895955\pi\) | |||||||
\(774\) | −2.54124 | + | 20.3644i | −0.0913431 | + | 0.731983i | ||||
\(775\) | −15.2628 | + | 31.9304i | −0.548258 | + | 1.14697i | ||||
\(776\) | 7.01773 | − | 12.1551i | 0.251922 | − | 0.436342i | ||||
\(777\) | −8.46012 | + | 0.202158i | −0.303505 | + | 0.00725239i | ||||
\(778\) | 28.4604 | − | 16.4316i | 1.02035 | − | 0.589102i | ||||
\(779\) | −52.6679 | − | 30.4078i | −1.88702 | − | 1.08947i | ||||
\(780\) | −14.1887 | + | 48.4258i | −0.508038 | + | 1.73392i | ||||
\(781\) | −2.20613 | − | 3.82112i | −0.0789414 | − | 0.136731i | ||||
\(782\) | 15.8966 | − | 9.17792i | 0.568462 | − | 0.328202i | ||||
\(783\) | −19.0966 | − | 16.4081i | −0.682458 | − | 0.586377i | ||||
\(784\) | −29.8067 | + | 5.17573i | −1.06453 | + | 0.184847i | ||||
\(785\) | −0.415024 | + | 1.83058i | −0.0148128 | + | 0.0653362i | ||||
\(786\) | −35.9557 | − | 72.2947i | −1.28250 | − | 2.57867i | ||||
\(787\) | −21.6118 | −0.770377 | −0.385189 | − | 0.922838i | \(-0.625864\pi\) | ||||
−0.385189 | + | 0.922838i | \(0.625864\pi\) | |||||||
\(788\) | 47.5218 | 1.69289 | ||||||||
\(789\) | 34.2129 | + | 2.12644i | 1.21801 | + | 0.0757034i | ||||
\(790\) | 14.0463 | − | 61.9552i | 0.499745 | − | 2.20427i | ||||
\(791\) | 22.3388 | − | 15.5985i | 0.794277 | − | 0.554619i | ||||
\(792\) | 32.1855 | + | 24.3533i | 1.14366 | + | 0.865355i | ||||
\(793\) | −24.6264 | + | 14.2181i | −0.874511 | + | 0.504899i | ||||
\(794\) | 34.5380 | + | 59.8215i | 1.22571 | + | 2.12299i | ||||
\(795\) | 37.5492 | − | 9.13230i | 1.33173 | − | 0.323889i | ||||
\(796\) | −9.79394 | − | 5.65453i | −0.347137 | − | 0.200420i | ||||
\(797\) | −6.31824 | + | 3.64784i | −0.223803 | + | 0.129213i | −0.607710 | − | 0.794159i | \(-0.707912\pi\) |
0.383907 | + | 0.923372i | \(0.374578\pi\) | |||||||
\(798\) | 65.9038 | − | 1.57480i | 2.33297 | − | 0.0557474i | ||||
\(799\) | −8.83148 | + | 15.2966i | −0.312435 | + | 0.541154i | ||||
\(800\) | 2.39167 | + | 1.14323i | 0.0845584 | + | 0.0404193i | ||||
\(801\) | 12.7813 | − | 16.8919i | 0.451605 | − | 0.596846i | ||||
\(802\) | −18.3599 | − | 10.6001i | −0.648311 | − | 0.374303i | ||||
\(803\) | 21.1408i | 0.746043i | ||||||||
\(804\) | 57.8991 | + | 38.4048i | 2.04194 | + | 1.35443i | ||||
\(805\) | 9.26715 | − | 11.9262i | 0.326624 | − | 0.420344i | ||||
\(806\) | −48.4800 | + | 27.9900i | −1.70764 | + | 0.985904i | ||||
\(807\) | 15.7298 | + | 31.6273i | 0.553716 | + | 1.11333i | ||||
\(808\) | −33.6217 | − | 58.2344i | −1.18281 | − | 2.04868i | ||||
\(809\) | −23.1599 | − | 13.3714i | −0.814260 | − | 0.470113i | 0.0341730 | − | 0.999416i | \(-0.489120\pi\) |
−0.848433 | + | 0.529303i | \(0.822454\pi\) | |||||||
\(810\) | 26.9666 | + | 41.5251i | 0.947508 | + | 1.45904i | ||||
\(811\) | 17.7557i | 0.623487i | 0.950166 | + | 0.311744i | \(0.100913\pi\) | ||||
−0.950166 | + | 0.311744i | \(0.899087\pi\) | |||||||
\(812\) | 22.0208 | − | 47.0637i | 0.772778 | − | 1.65161i | ||||
\(813\) | 1.29120 | − | 20.7745i | 0.0452845 | − | 0.728594i | ||||
\(814\) | −6.05026 | + | 10.4794i | −0.212062 | + | 0.367301i | ||||
\(815\) | 3.65721 | + | 11.7956i | 0.128107 | + | 0.413182i | ||||
\(816\) | −19.5872 | + | 9.74169i | −0.685689 | + | 0.341027i | ||||
\(817\) | 16.2573 | 0.568770 | ||||||||
\(818\) | − | 2.01651i | − | 0.0705055i | ||||||
\(819\) | −21.5934 | − | 13.5916i | −0.754533 | − | 0.474929i | ||||
\(820\) | 90.0389 | − | 27.9165i | 3.14429 | − | 0.974886i | ||||
\(821\) | 14.8718i | 0.519030i | 0.965739 | + | 0.259515i | \(0.0835626\pi\) | ||||
−0.965739 | + | 0.259515i | \(0.916437\pi\) | |||||||
\(822\) | 40.7261 | + | 2.53126i | 1.42048 | + | 0.0882878i | ||||
\(823\) | 6.01287i | 0.209595i | 0.994494 | + | 0.104798i | \(0.0334195\pi\) | ||||
−0.994494 | + | 0.104798i | \(0.966581\pi\) | |||||||
\(824\) | −4.35561 | + | 7.54415i | −0.151735 | + | 0.262813i | ||||
\(825\) | −11.2189 | + | 20.1526i | −0.390592 | + | 0.701625i | ||||
\(826\) | −3.60095 | − | 41.7857i | −0.125293 | − | 1.45391i | ||||
\(827\) | 6.67647 | 0.232164 | 0.116082 | − | 0.993240i | \(-0.462967\pi\) | ||||
0.116082 | + | 0.993240i | \(0.462967\pi\) | |||||||
\(828\) | −30.8037 | − | 3.84395i | −1.07050 | − | 0.133587i | ||||
\(829\) | −30.6385 | − | 17.6892i | −1.06412 | − | 0.614370i | −0.137551 | − | 0.990495i | \(-0.543923\pi\) |
−0.926569 | + | 0.376125i | \(0.877256\pi\) | |||||||
\(830\) | 52.8321 | − | 57.1054i | 1.83383 | − | 1.98216i | ||||
\(831\) | 1.49313 | − | 24.0233i | 0.0517961 | − | 0.833360i | ||||
\(832\) | −11.7962 | − | 20.4317i | −0.408961 | − | 0.708341i | ||||
\(833\) | 19.2048 | + | 7.04669i | 0.665408 | + | 0.244153i | ||||
\(834\) | −0.272321 | + | 4.38144i | −0.00942970 | + | 0.151717i | ||||
\(835\) | −10.9639 | − | 35.3617i | −0.379420 | − | 1.22374i | ||||
\(836\) | 31.5588 | − | 54.6614i | 1.09148 | − | 1.89050i | ||||
\(837\) | −6.80950 | + | 36.1432i | −0.235371 | + | 1.24929i | ||||
\(838\) | −0.884964 | − | 1.53280i | −0.0305706 | − | 0.0529498i | ||||
\(839\) | −2.59993 | + | 4.50321i | −0.0897596 | + | 0.155468i | −0.907409 | − | 0.420248i | \(-0.861943\pi\) |
0.817650 | + | 0.575716i | \(0.195277\pi\) | |||||||
\(840\) | −34.2342 | + | 38.8241i | −1.18119 | + | 1.33956i | ||||
\(841\) | −2.76099 | − | 4.78218i | −0.0952066 | − | 0.164903i | ||||
\(842\) | 9.97945 | − | 17.2849i | 0.343914 | − | 0.595677i | ||||
\(843\) | 16.2629 | − | 8.08836i | 0.560125 | − | 0.278578i | ||||
\(844\) | 36.6400 | + | 63.4624i | 1.26120 | + | 2.18446i | ||||
\(845\) | 4.37684 | + | 4.04931i | 0.150568 | + | 0.139301i | ||||
\(846\) | 41.0984 | − | 17.3496i | 1.41299 | − | 0.596490i | ||||
\(847\) | 9.36220 | + | 4.38052i | 0.321689 | + | 0.150516i | ||||
\(848\) | 21.5611 | − | 37.3449i | 0.740411 | − | 1.28243i | ||||
\(849\) | −1.20498 | + | 1.81663i | −0.0413548 | + | 0.0623464i | ||||
\(850\) | −20.3376 | − | 29.6446i | −0.697574 | − | 1.01680i | ||||
\(851\) | − | 4.71448i | − | 0.161610i | ||||||
\(852\) | −9.69205 | − | 6.42880i | −0.332044 | − | 0.220247i | ||||
\(853\) | 13.8756 | − | 24.0332i | 0.475091 | − | 0.822882i | −0.524502 | − | 0.851409i | \(-0.675748\pi\) |
0.999593 | + | 0.0285270i | \(0.00908167\pi\) | |||||||
\(854\) | −57.3698 | + | 4.94394i | −1.96315 | + | 0.169178i | ||||
\(855\) | 29.9967 | − | 25.2712i | 1.02587 | − | 0.864255i | ||||
\(856\) | 17.0077 | + | 29.4582i | 0.581311 | + | 1.00686i | ||||
\(857\) | −9.25825 | + | 5.34525i | −0.316256 | + | 0.182590i | −0.649722 | − | 0.760172i | \(-0.725115\pi\) |
0.333467 | + | 0.942762i | \(0.391782\pi\) | |||||||
\(858\) | −32.6663 | + | 16.2466i | −1.11521 | + | 0.554650i | ||||
\(859\) | 4.59294 | + | 2.65174i | 0.156709 | + | 0.0904761i | 0.576304 | − | 0.817235i | \(-0.304494\pi\) |
−0.419595 | + | 0.907712i | \(0.637828\pi\) | |||||||
\(860\) | −17.1133 | + | 18.4975i | −0.583557 | + | 0.630758i | ||||
\(861\) | 1.13863 | + | 47.6505i | 0.0388044 | + | 1.62393i | ||||
\(862\) | 25.0582 | + | 14.4674i | 0.853486 | + | 0.492760i | ||||
\(863\) | −1.67619 | − | 2.90325i | −0.0570582 | − | 0.0988278i | 0.836085 | − | 0.548599i | \(-0.184839\pi\) |
−0.893144 | + | 0.449772i | \(0.851505\pi\) | |||||||
\(864\) | 2.70723 | + | 0.510050i | 0.0921018 | + | 0.0173523i | ||||
\(865\) | −38.6128 | − | 8.75420i | −1.31288 | − | 0.297652i | ||||
\(866\) | 34.2121 | 1.16257 | ||||||||
\(867\) | −14.6242 | − | 0.908939i | −0.496662 | − | 0.0308692i | ||||
\(868\) | −75.6233 | + | 6.51697i | −2.56682 | + | 0.221200i | ||||
\(869\) | 26.6341 | − | 15.3772i | 0.903501 | − | 0.521636i | ||||
\(870\) | −10.9111 | − | 44.8630i | −0.369921 | − | 1.52100i | ||||
\(871\) | −27.5516 | + | 15.9069i | −0.933550 | + | 0.538985i | ||||
\(872\) | 1.06158 | − | 1.83870i | 0.0359495 | − | 0.0622663i | ||||
\(873\) | 8.27137 | + | 1.03217i | 0.279943 | + | 0.0349338i | ||||
\(874\) | 36.7255i | 1.24226i | ||||||||
\(875\) | −24.6961 | − | 16.2820i | −0.834880 | − | 0.550431i | ||||
\(876\) | 24.8154 | + | 49.8952i | 0.838434 | + | 1.68580i | ||||
\(877\) | 35.2640 | + | 20.3597i | 1.19078 | + | 0.687498i | 0.958484 | − | 0.285146i | \(-0.0920422\pi\) |
0.232298 | + | 0.972645i | \(0.425376\pi\) | |||||||
\(878\) | − | 40.2526i | − | 1.35846i | ||||||
\(879\) | 1.06328 | − | 17.1074i | 0.0358635 | − | 0.577018i | ||||
\(880\) | 7.62208 | + | 24.5834i | 0.256940 | + | 0.828708i | ||||
\(881\) | −20.8315 | −0.701831 | −0.350916 | − | 0.936407i | \(-0.614130\pi\) | ||||
−0.350916 | + | 0.936407i | \(0.614130\pi\) | |||||||
\(882\) | −27.9410 | − | 43.4597i | −0.940823 | − | 1.46336i | ||||
\(883\) | 28.9816i | 0.975309i | 0.873037 | + | 0.487655i | \(0.162147\pi\) | ||||
−0.873037 | + | 0.487655i | \(0.837853\pi\) | |||||||
\(884\) | − | 38.0764i | − | 1.28065i | ||||||
\(885\) | −17.2306 | − | 18.0501i | −0.579201 | − | 0.606747i | ||||
\(886\) | −36.6819 | −1.23235 | ||||||||
\(887\) | −5.52226 | − | 3.18828i | −0.185419 | − | 0.107052i | 0.404417 | − | 0.914575i | \(-0.367474\pi\) |
−0.589836 | + | 0.807523i | \(0.700808\pi\) | |||||||
\(888\) | −1.00229 | + | 16.1261i | −0.0336347 | + | 0.541157i | ||||
\(889\) | 33.2727 | − | 2.86734i | 1.11593 | − | 0.0961673i | ||||
\(890\) | 37.1023 | − | 11.5035i | 1.24367 | − | 0.385600i | ||||
\(891\) | −5.89059 | + | 23.2347i | −0.197342 | + | 0.778393i | ||||
\(892\) | −18.0521 | + | 31.2671i | −0.604428 | + | 1.04690i | ||||
\(893\) | −17.6696 | − | 30.6046i | −0.591290 | − | 1.02414i | ||||
\(894\) | −40.0391 | + | 19.9135i | −1.33911 | + | 0.666006i | ||||
\(895\) | 8.86460 | − | 9.58161i | 0.296311 | − | 0.320278i | ||||
\(896\) | −4.34268 | − | 50.3927i | −0.145079 | − | 1.68350i | ||||
\(897\) | 7.85709 | − | 11.8453i | 0.262340 | − | 0.395505i | ||||
\(898\) | 46.7673i | 1.56064i | ||||||||
\(899\) | 17.1483 | − | 29.7016i | 0.571926 | − | 0.990605i | ||||
\(900\) | −2.82271 | + | 60.7319i | −0.0940904 | + | 2.02440i | ||||
\(901\) | −25.2525 | + | 14.5795i | −0.841283 | + | 0.485715i | ||||
\(902\) | 59.0236 | + | 34.0773i | 1.96527 | + | 1.13465i | ||||
\(903\) | −6.63258 | − | 10.8792i | −0.220718 | − | 0.362037i | ||||
\(904\) | −26.0098 | − | 45.0503i | −0.865073 | − | 1.49835i | ||||
\(905\) | −28.6972 | − | 6.50615i | −0.953927 | − | 0.216272i | ||||
\(906\) | 103.631 | + | 6.44102i | 3.44292 | + | 0.213989i | ||||
\(907\) | 7.23234 | − | 4.17559i | 0.240146 | − | 0.138648i | −0.375098 | − | 0.926985i | \(-0.622391\pi\) |
0.615244 | + | 0.788337i | \(0.289058\pi\) | |||||||
\(908\) | −52.1948 | + | 30.1347i | −1.73215 | + | 1.00006i | ||||
\(909\) | 24.0965 | − | 31.8461i | 0.799229 | − | 1.05627i | ||||
\(910\) | −17.6422 | − | 43.3359i | −0.584832 | − | 1.43657i | ||||
\(911\) | −1.18966 | − | 0.686853i | −0.0394153 | − | 0.0227565i | 0.480163 | − | 0.877179i | \(-0.340578\pi\) |
−0.519578 | + | 0.854423i | \(0.673911\pi\) | |||||||
\(912\) | 2.71511 | − | 43.6841i | 0.0899063 | − | 1.44653i | ||||
\(913\) | 37.6621 | 1.24643 | ||||||||
\(914\) | − | 83.0226i | − | 2.74614i | ||||||
\(915\) | −24.7819 | + | 23.6568i | −0.819265 | + | 0.782071i | ||||
\(916\) | −53.3983 | − | 30.8295i | −1.76433 | − | 1.01864i | ||||
\(917\) | 45.4057 | + | 21.2450i | 1.49943 | + | 0.701573i | ||||
\(918\) | −28.3372 | − | 24.3478i | −0.935268 | − | 0.803596i | ||||
\(919\) | −11.9247 | − | 20.6542i | −0.393360 | − | 0.681319i | 0.599530 | − | 0.800352i | \(-0.295354\pi\) |
−0.992890 | + | 0.119033i | \(0.962021\pi\) | |||||||
\(920\) | −21.1671 | − | 19.5831i | −0.697859 | − | 0.645637i | ||||
\(921\) | −11.3046 | + | 17.0427i | −0.372498 | + | 0.561578i | ||||
\(922\) | −38.0819 | + | 65.9599i | −1.25416 | + | 2.17227i | ||||
\(923\) | 4.61201 | − | 2.66275i | 0.151806 | − | 0.0876454i | ||||
\(924\) | −49.4541 | + | 1.18173i | −1.62692 | + | 0.0388760i | ||||
\(925\) | −9.20552 | + | 0.716731i | −0.302676 | + | 0.0235660i | ||||
\(926\) | −54.5813 | + | 31.5125i | −1.79365 | + | 1.03557i | ||||
\(927\) | −5.13369 | − | 0.640627i | −0.168613 | − | 0.0210409i | ||||
\(928\) | −2.22474 | − | 1.28445i | −0.0730306 | − | 0.0421642i | ||||
\(929\) | 2.64891 | 0.0869080 | 0.0434540 | − | 0.999055i | \(-0.486164\pi\) | ||||
0.0434540 | + | 0.999055i | \(0.486164\pi\) | |||||||
\(930\) | −48.7861 | + | 46.5712i | −1.59976 | + | 1.52713i | ||||
\(931\) | −31.4219 | + | 26.2269i | −1.02981 | + | 0.859553i | ||||
\(932\) | −19.9336 | − | 34.5261i | −0.652948 | − | 1.13094i | ||||
\(933\) | 5.56430 | − | 8.38874i | 0.182167 | − | 0.274635i | ||||
\(934\) | −50.0191 | + | 28.8786i | −1.63668 | + | 0.944936i | ||||
\(935\) | 3.84811 | − | 16.9732i | 0.125847 | − | 0.555082i | ||||
\(936\) | −29.3939 | + | 38.8472i | −0.960768 | + | 1.26976i | ||||
\(937\) | 41.6720 | 1.36136 | 0.680682 | − | 0.732579i | \(-0.261684\pi\) | ||||
0.680682 | + | 0.732579i | \(0.261684\pi\) | |||||||
\(938\) | −64.1842 | + | 5.53118i | −2.09569 | + | 0.180599i | ||||
\(939\) | 31.1207 | − | 46.9176i | 1.01559 | − | 1.53110i | ||||
\(940\) | 53.4218 | + | 12.1116i | 1.74243 | + | 0.395038i | ||||
\(941\) | 21.9989 | 0.717142 | 0.358571 | − | 0.933502i | \(-0.383264\pi\) | ||||
0.358571 | + | 0.933502i | \(0.383264\pi\) | |||||||
\(942\) | −1.97732 | + | 2.98100i | −0.0644244 | + | 0.0971263i | ||||
\(943\) | −26.5537 | −0.864707 | ||||||||
\(944\) | −27.8458 | −0.906305 | ||||||||
\(945\) | −29.1492 | − | 9.76350i | −0.948223 | − | 0.317607i | ||||
\(946\) | −18.2191 | −0.592355 | ||||||||
\(947\) | 23.1432 | 0.752054 | 0.376027 | − | 0.926609i | \(-0.377290\pi\) | ||||
0.376027 | + | 0.926609i | \(0.377290\pi\) | |||||||
\(948\) | 44.8102 | − | 67.5559i | 1.45537 | − | 2.19411i | ||||
\(949\) | −25.5165 | −0.828301 | ||||||||
\(950\) | 71.7104 | − | 5.58329i | 2.32659 | − | 0.181146i | ||||
\(951\) | 12.4538 | − | 18.7754i | 0.403844 | − | 0.608835i | ||||
\(952\) | 16.5525 | − | 35.3766i | 0.536469 | − | 1.14656i | ||||
\(953\) | −15.4692 | −0.501097 | −0.250549 | − | 0.968104i | \(-0.580611\pi\) | ||||
−0.250549 | + | 0.968104i | \(0.580611\pi\) | |||||||
\(954\) | 73.0787 | + | 9.11939i | 2.36601 | + | 0.295251i | ||||
\(955\) | −1.53951 | − | 0.349033i | −0.0498173 | − | 0.0112944i | ||||
\(956\) | −3.60668 | + | 2.08232i | −0.116648 | + | 0.0673469i | ||||
\(957\) | 12.3552 | − | 18.6267i | 0.399387 | − | 0.602116i | ||||
\(958\) | −25.6480 | − | 44.4236i | −0.828649 | − | 1.43526i | ||||
\(959\) | −20.7714 | + | 14.5040i | −0.670745 | + | 0.468360i | ||||
\(960\) | −19.6272 | − | 20.5607i | −0.633466 | − | 0.663592i | ||||
\(961\) | −19.1001 | −0.616131 | ||||||||
\(962\) | −12.6484 | − | 7.30254i | −0.407800 | − | 0.235443i | ||||
\(963\) | −12.1893 | + | 16.1095i | −0.392796 | + | 0.519122i | ||||
\(964\) | −5.14787 | + | 2.97213i | −0.165802 | + | 0.0957257i | ||||
\(965\) | 42.8174 | + | 9.70744i | 1.37834 | + | 0.312494i | ||||
\(966\) | 24.5763 | − | 14.9831i | 0.790731 | − | 0.482074i | ||||
\(967\) | −32.8410 | + | 18.9608i | −1.05610 | + | 0.609737i | −0.924350 | − | 0.381546i | \(-0.875392\pi\) |
−0.131746 | + | 0.991283i | \(0.542058\pi\) | |||||||
\(968\) | 9.86740 | − | 17.0908i | 0.317150 | − | 0.549320i | ||||
\(969\) | −16.3595 | + | 24.6636i | −0.525544 | + | 0.792310i | ||||
\(970\) | 11.2203 | + | 10.3807i | 0.360264 | + | 0.333304i | ||||
\(971\) | −13.5099 | − | 23.3998i | −0.433553 | − | 0.750936i | 0.563623 | − | 0.826032i | \(-0.309407\pi\) |
−0.997176 | + | 0.0750961i | \(0.976074\pi\) | |||||||
\(972\) | 13.3707 | + | 61.7517i | 0.428864 | + | 1.98069i | ||||
\(973\) | −1.56039 | − | 2.23466i | −0.0500239 | − | 0.0716398i | ||||
\(974\) | −6.07457 | − | 3.50715i | −0.194642 | − | 0.112376i | ||||
\(975\) | −24.3238 | − | 13.5410i | −0.778985 | − | 0.433658i | ||||
\(976\) | 38.2310i | 1.22375i | ||||||||
\(977\) | 20.8740 | 0.667820 | 0.333910 | − | 0.942605i | \(-0.391632\pi\) | ||||
0.333910 | + | 0.942605i | \(0.391632\pi\) | |||||||
\(978\) | −1.45997 | + | 23.4899i | −0.0466848 | + | 0.751124i | ||||
\(979\) | 16.2858 | + | 9.40260i | 0.520496 | + | 0.300508i | ||||
\(980\) | 3.23539 | − | 63.3595i | 0.103351 | − | 2.02395i | ||||
\(981\) | 1.25121 | + | 0.156137i | 0.0399482 | + | 0.00498508i | ||||
\(982\) | 5.58743 | − | 3.22590i | 0.178302 | − | 0.102943i | ||||
\(983\) | 26.9799 | − | 15.5768i | 0.860525 | − | 0.496824i | −0.00366333 | − | 0.999993i | \(-0.501166\pi\) |
0.864188 | + | 0.503169i | \(0.167833\pi\) | |||||||
\(984\) | 90.8282 | + | 5.64527i | 2.89550 | + | 0.179965i | ||||
\(985\) | −5.79674 | + | 25.5682i | −0.184700 | + | 0.814669i | ||||
\(986\) | 17.4194 | + | 30.1712i | 0.554746 | + | 0.960847i | ||||
\(987\) | −13.2715 | + | 24.3103i | −0.422438 | + | 0.773805i | ||||
\(988\) | 65.9751 | + | 38.0907i | 2.09895 | + | 1.21183i | ||||
\(989\) | 6.14735 | − | 3.54917i | 0.195474 | − | 0.112857i | ||||
\(990\) | −33.6166 | + | 28.3208i | −1.06841 | + | 0.900093i | ||||
\(991\) | 11.1945 | − | 19.3895i | 0.355606 | − | 0.615928i | −0.631615 | − | 0.775282i | \(-0.717608\pi\) |
0.987222 | + | 0.159354i | \(0.0509411\pi\) | |||||||
\(992\) | 3.75264i | 0.119146i | ||||||||
\(993\) | 0.169498 | − | 0.255535i | 0.00537885 | − | 0.00810916i | ||||
\(994\) | 10.7441 | − | 0.925895i | 0.340784 | − | 0.0293676i | ||||
\(995\) | 4.23698 | − | 4.57969i | 0.134321 | − | 0.145186i | ||||
\(996\) | 88.8878 | − | 44.2084i | 2.81652 | − | 1.40080i | ||||
\(997\) | 26.2342 | + | 45.4390i | 0.830847 | + | 1.43907i | 0.897368 | + | 0.441284i | \(0.145477\pi\) |
−0.0665210 | + | 0.997785i | \(0.521190\pi\) | |||||||
\(998\) | 27.6164 | − | 47.8331i | 0.874183 | − | 1.51413i | ||||
\(999\) | −9.05467 | + | 3.17629i | −0.286477 | + | 0.100493i |
(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 | 315.2.bq.a.164.4 | yes | 88 | |
3.2 | odd | 2 | 945.2.bq.a.899.41 | 88 | |||
5.4 | even | 2 | inner | 315.2.bq.a.164.41 | yes | 88 | |
7.5 | odd | 6 | 315.2.u.a.299.41 | yes | 88 | ||
9.4 | even | 3 | 945.2.u.a.584.41 | 88 | |||
9.5 | odd | 6 | 315.2.u.a.59.4 | ✓ | 88 | ||
15.14 | odd | 2 | 945.2.bq.a.899.4 | 88 | |||
21.5 | even | 6 | 945.2.u.a.89.4 | 88 | |||
35.19 | odd | 6 | 315.2.u.a.299.4 | yes | 88 | ||
45.4 | even | 6 | 945.2.u.a.584.4 | 88 | |||
45.14 | odd | 6 | 315.2.u.a.59.41 | yes | 88 | ||
63.5 | even | 6 | inner | 315.2.bq.a.194.41 | yes | 88 | |
63.40 | odd | 6 | 945.2.bq.a.719.4 | 88 | |||
105.89 | even | 6 | 945.2.u.a.89.41 | 88 | |||
315.194 | even | 6 | inner | 315.2.bq.a.194.4 | yes | 88 | |
315.229 | odd | 6 | 945.2.bq.a.719.41 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.4 | ✓ | 88 | 9.5 | odd | 6 | ||
315.2.u.a.59.41 | yes | 88 | 45.14 | odd | 6 | ||
315.2.u.a.299.4 | yes | 88 | 35.19 | odd | 6 | ||
315.2.u.a.299.41 | yes | 88 | 7.5 | odd | 6 | ||
315.2.bq.a.164.4 | yes | 88 | 1.1 | even | 1 | trivial | |
315.2.bq.a.164.41 | yes | 88 | 5.4 | even | 2 | inner | |
315.2.bq.a.194.4 | yes | 88 | 315.194 | even | 6 | inner | |
315.2.bq.a.194.41 | yes | 88 | 63.5 | even | 6 | inner | |
945.2.u.a.89.4 | 88 | 21.5 | even | 6 | |||
945.2.u.a.89.41 | 88 | 105.89 | even | 6 | |||
945.2.u.a.584.4 | 88 | 45.4 | even | 6 | |||
945.2.u.a.584.41 | 88 | 9.4 | even | 3 | |||
945.2.bq.a.719.4 | 88 | 63.40 | odd | 6 | |||
945.2.bq.a.719.41 | 88 | 315.229 | odd | 6 | |||
945.2.bq.a.899.4 | 88 | 15.14 | odd | 2 | |||
945.2.bq.a.899.41 | 88 | 3.2 | odd | 2 |