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 | 164.41 | ||
Character | \(\chi\) | \(=\) | 315.164 |
Dual form | 315.2.bq.a.194.41 |
$q$-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 | \(-0.164213\pi\) | ||||
0.869854 | + | 0.493310i | \(0.164213\pi\) | |||||||
\(3\) | −0.957408 | + | 1.44339i | −0.552760 | + | 0.833341i | ||||
\(4\) | 4.05317 | 2.02658 | ||||||||
\(5\) | −1.64136 | + | 1.51853i | −0.734038 | + | 0.679108i | ||||
\(6\) | −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 | ||||
\(10\) | −4.03827 | + | 3.73607i | −1.27701 | + | 1.18145i | ||||
\(11\) | 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 | 0.552327 | − | 0.833628i | \(-0.313740\pi\) |
−0.998106 | + | 0.0615151i | \(0.980407\pi\) | |||||||
\(14\) | 0.558887 | + | 6.48535i | 0.149369 | + | 1.73328i | ||||
\(15\) | −0.620382 | − | 3.82297i | −0.160182 | − | 0.987088i | ||||
\(16\) | 4.32182 | 1.08046 | ||||||||
\(17\) | 2.53088 | + | 1.46120i | 0.613828 | + | 0.354394i | 0.774462 | − | 0.632620i | \(-0.218021\pi\) |
−0.160634 | + | 0.987014i | \(0.551354\pi\) | |||||||
\(18\) | −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 | \(0.0993283\pi\) | |||||||
\(20\) | −6.65270 | + | 6.15486i | −1.48759 | + | 1.37627i | ||||
\(21\) | −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 | −0.967868 | − | 0.251459i | \(-0.919090\pi\) |
0.701704 | + | 0.712468i | \(0.252423\pi\) | |||||||
\(24\) | −4.83629 | + | 7.29119i | −0.987203 | + | 1.48831i | ||||
\(25\) | 0.388120 | − | 4.98491i | 0.0776239 | − | 0.996983i | ||||
\(26\) | −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 | \(0.518132\pi\) | |||||||
\(30\) | −1.52634 | − | 9.40573i | −0.278670 | − | 1.71724i | ||||
\(31\) | − | 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 | ||||
\(35\) | −4.37567 | − | 3.98164i | −0.739624 | − | 0.673020i | ||||
\(36\) | −4.72899 | − | 11.2022i | −0.788165 | − | 1.86704i | ||||
\(37\) | −1.59927 | + | 0.923338i | −0.262918 | + | 0.151796i | −0.625665 | − | 0.780092i | \(-0.715172\pi\) |
0.362747 | + | 0.931888i | \(0.381839\pi\) | |||||||
\(38\) | 12.4582 | − | 7.19274i | 2.02099 | − | 1.16682i | ||||
\(39\) | 5.55706 | + | 0.345390i | 0.889842 | + | 0.0553066i | ||||
\(40\) | −8.29123 | + | 7.67078i | −1.31096 | + | 1.21286i | ||||
\(41\) | −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 | 0.305031 | − | 0.952343i | \(-0.401333\pi\) |
−0.672237 | + | 0.740336i | \(0.734667\pi\) | |||||||
\(44\) | 9.34861 | − | 5.39742i | 1.40936 | − | 0.813692i | ||||
\(45\) | 6.11199 | + | 2.76469i | 0.911122 | + | 0.412136i | ||||
\(46\) | −3.14054 | + | 5.43957i | −0.463047 | + | 0.802021i | ||||
\(47\) | 6.04398i | 0.881605i | 0.897604 | + | 0.440803i | \(0.145306\pi\) | ||||
−0.897604 | + | 0.440803i | \(0.854694\pi\) | |||||||
\(48\) | −4.13775 | + | 6.23807i | −0.597232 | + | 0.900387i | ||||
\(49\) | −6.89680 | + | 1.19758i | −0.985257 | + | 0.171083i | ||||
\(50\) | 0.954898 | − | 12.2645i | 0.135043 | − | 1.73446i | ||||
\(51\) | −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 | \(0.406985\pi\) |
−0.973350 | + | 0.229325i | \(0.926348\pi\) | |||||||
\(54\) | 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 | \(0.637763\pi\) | |||||||
\(60\) | −2.51451 | − | 15.4951i | −0.324622 | − | 2.00041i | ||||
\(61\) | 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 | \(-0.793356\pi\) | ||
0.796573 | − | 0.604542i | \(-0.206644\pi\) | |||||||
\(68\) | 10.2581 | + | 5.92249i | 1.24397 | + | 0.718208i | ||||
\(69\) | −1.96911 | − | 3.95921i | −0.237053 | − | 0.476632i | ||||
\(70\) | −10.7656 | − | 9.79611i | −1.28673 | − | 1.17086i | ||||
\(71\) | − | 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 | −0.534656 | − | 0.845070i | \(-0.679559\pi\) |
0.999180 | + | 0.0404909i | \(0.0128922\pi\) | |||||||
\(74\) | −3.93471 | + | 2.27171i | −0.457401 | + | 0.264080i | ||||
\(75\) | 6.82358 | + | 5.33280i | 0.787919 | + | 0.615779i | ||||
\(76\) | 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 | \(0.274939\pi\) | |||||||
\(80\) | −7.09366 | + | 6.56282i | −0.793095 | + | 0.733746i | ||||
\(81\) | −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 | −0.356806 | − | 0.934178i | \(-0.616134\pi\) |
−0.987425 | + | 0.158086i | \(0.949468\pi\) | |||||||
\(84\) | −16.3028 | − | 8.90006i | −1.77878 | − | 0.971076i | ||||
\(85\) | −6.37296 | + | 1.44486i | −0.691244 | + | 0.156717i | ||||
\(86\) | −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 | \(0.711243\pi\) | |||||||
\(90\) | 15.0375 | + | 6.80202i | 1.58509 | + | 0.716996i | ||||
\(91\) | 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 | −0.786838 | − | 0.617160i | \(-0.788283\pi\) |
0.927895 | + | 0.372841i | \(0.121616\pi\) | |||||||
\(98\) | −16.9683 | + | 2.94643i | −1.71406 | + | 0.297634i | ||||
\(99\) | −6.37154 | − | 4.82105i | −0.640364 | − | 0.484534i | ||||
\(100\) | 1.57311 | − | 20.2047i | 0.157311 | − | 2.02047i | ||||
\(101\) | 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 | −0.905374 | − | 0.424614i | \(-0.860410\pi\) |
0.820414 | + | 0.571770i | \(0.193743\pi\) | |||||||
\(104\) | −8.11908 | − | 14.0627i | −0.796142 | − | 1.37896i | ||||
\(105\) | 9.93636 | − | 2.50374i | 0.969690 | − | 0.244340i | ||||
\(106\) | −12.2743 | + | 21.2596i | −1.19218 | + | 2.06492i | ||||
\(107\) | 3.36690 | + | 5.83164i | 0.325490 | + | 0.563766i | 0.981612 | − | 0.190890i | \(-0.0611373\pi\) |
−0.656121 | + | 0.754656i | \(0.727804\pi\) | |||||||
\(108\) | 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 | 0.515463 | − | 0.856912i | \(-0.327620\pi\) |
−0.999839 | + | 0.0179484i | \(0.994287\pi\) | |||||||
\(114\) | −1.54565 | + | 24.8684i | −0.144764 | + | 2.32914i | ||||
\(115\) | −1.26220 | − | 5.56729i | −0.117701 | − | 0.519152i | ||||
\(116\) | 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 | ||||
\(120\) | −3.13382 | − | 19.3115i | −0.286078 | − | 1.76289i | ||||
\(121\) | −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 | \(-0.810788\pi\) | ||
0.828470 | − | 0.560034i | \(-0.189212\pi\) | |||||||
\(128\) | −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 | ||||||
\(135\) | −9.84220 | + | 6.17504i | −0.847081 | + | 0.531463i | ||||
\(136\) | 12.7846 | + | 7.38118i | 1.09627 | + | 0.632931i | ||||
\(137\) | 4.78771 | + | 8.29255i | 0.409041 | + | 0.708481i | 0.994783 | − | 0.102018i | \(-0.0325298\pi\) |
−0.585741 | + | 0.810498i | \(0.699196\pi\) | |||||||
\(138\) | −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 | \(0.319423\pi\) | |||||||
\(140\) | −17.7353 | − | 16.1383i | −1.49891 | − | 1.36393i | ||||
\(141\) | −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 | ||||
\(145\) | −10.5665 | + | 2.39561i | −0.877501 | + | 0.198945i | ||||
\(146\) | 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 | \(0.525237\pi\) | |||||||
\(150\) | 16.7882 | + | 13.1204i | 1.37075 | + | 1.07128i | ||||
\(151\) | −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 | ||||
\(155\) | 10.7484 | + | 11.6178i | 0.863331 | + | 0.933162i | ||||
\(156\) | 22.5237 | + | 1.39992i | 1.80334 | + | 0.112083i | ||||
\(157\) | −0.839436 | −0.0669943 | −0.0334972 | − | 0.999439i | \(-0.510664\pi\) | ||||
−0.0334972 | + | 0.999439i | \(0.510664\pi\) | |||||||
\(158\) | 28.4104 | 2.26021 | ||||||||
\(159\) | −7.69593 | − | 15.4739i | −0.610327 | − | 1.22716i | ||||
\(160\) | −0.870204 | + | 0.805084i | −0.0687956 | + | 0.0636475i | ||||
\(161\) | −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 | −0.675479 | − | 0.737379i | \(-0.736063\pi\) |
0.300849 | + | 0.953672i | \(0.402730\pi\) | |||||||
\(164\) | −21.0788 | − | 36.5096i | −1.64598 | − | 2.85092i | ||||
\(165\) | −6.52180 | − | 7.99154i | −0.507721 | − | 0.622141i | ||||
\(166\) | −30.1304 | − | 17.3958i | −2.33857 | − | 1.35017i | ||||
\(167\) | 14.3387 | − | 8.27845i | 1.10956 | − | 0.640606i | 0.170846 | − | 0.985298i | \(-0.445350\pi\) |
0.938716 | + | 0.344692i | \(0.112017\pi\) | |||||||
\(168\) | −20.3181 | − | 11.0921i | −1.56757 | − | 0.855774i | ||||
\(169\) | 1.33330 | − | 2.30934i | 0.102561 | − | 0.177642i | ||||
\(170\) | −15.6795 | + | 3.55482i | −1.20256 | + | 0.272642i | ||||
\(171\) | −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 | \(-0.764963\pi\) | ||
0.739554 | − | 0.673097i | \(-0.235037\pi\) | |||||||
\(174\) | −18.4879 | + | 9.19495i | −1.40156 | + | 0.697067i | ||||
\(175\) | 13.2283 | − | 0.109298i | 0.999966 | − | 0.00826218i | ||||
\(176\) | 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 | \(0.736673\pi\) | |||||||
\(180\) | 24.7729 | + | 11.2058i | 1.84646 | + | 0.835228i | ||||
\(181\) | 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 | \(0.249799\pi\) | ||||
−0.707553 | + | 0.706660i | \(0.750201\pi\) | |||||||
\(194\) | 3.41801 | − | 5.92016i | 0.245399 | − | 0.425043i | ||||
\(195\) | −9.64562 | + | 7.87167i | −0.690737 | + | 0.563702i | ||||
\(196\) | −27.9539 | + | 4.85399i | −1.99670 | + | 0.346714i | ||||
\(197\) | −11.7246 | −0.835344 | −0.417672 | − | 0.908598i | \(-0.637154\pi\) | ||||
−0.417672 | + | 0.908598i | \(0.637154\pi\) | |||||||
\(198\) | −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 | \(0.698198\pi\) | |||||||
\(200\) | 1.96056 | − | 25.1810i | 0.138633 | − | 1.78057i | ||||
\(201\) | 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 | ||||
\(210\) | 24.4466 | − | 6.16000i | 1.68698 | − | 0.425081i | ||||
\(211\) | 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 | ||||
\(215\) | 6.06339 | − | 1.37467i | 0.413519 | − | 0.0937520i | ||||
\(216\) | 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 | −0.677486 | − | 0.735536i | \(-0.736930\pi\) |
0.975736 | + | 0.218952i | \(0.0702638\pi\) | |||||||
\(224\) | 0.120434 | + | 1.39752i | 0.00804684 | + | 0.0933761i | ||||
\(225\) | −14.2303 | + | 4.74341i | −0.948684 | + | 0.316227i | ||||
\(226\) | −12.6681 | − | 21.9419i | −0.842672 | − | 1.45955i | ||||
\(227\) | 12.8775 | − | 7.43486i | 0.854713 | − | 0.493469i | −0.00752533 | − | 0.999972i | \(-0.502395\pi\) |
0.862238 | + | 0.506503i | \(0.169062\pi\) | |||||||
\(228\) | −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 | \(0.834304\pi\) | |||||||
\(230\) | −3.10541 | − | 13.6973i | −0.204765 | − | 0.903173i | ||||
\(231\) | −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 | 0.980940 | − | 0.194311i | \(-0.0622471\pi\) |
−0.658748 | + | 0.752363i | \(0.728914\pi\) | |||||||
\(234\) | −14.3164 | + | 18.9206i | −0.935890 | + | 1.23688i | ||||
\(235\) | −9.17798 | − | 9.92034i | −0.598705 | − | 0.647132i | ||||
\(236\) | −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 | \(0.343913\pi\) | |||||||
\(240\) | −2.68118 | − | 16.5222i | −0.173069 | − | 1.06650i | ||||
\(241\) | −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 | ||||||||
\(245\) | 9.50156 | − | 12.4387i | 0.607032 | − | 0.794677i | ||||
\(246\) | 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 | ||||||
\(255\) | 4.01603 | − | 10.5820i | 0.251493 | − | 0.662669i | ||||
\(256\) | −32.3560 | −2.02225 | ||||||||
\(257\) | 0.523767 | + | 0.302397i | 0.0326717 | + | 0.0188630i | 0.516247 | − | 0.856440i | \(-0.327329\pi\) |
−0.483575 | + | 0.875303i | \(0.660662\pi\) | |||||||
\(258\) | 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 | \(-0.957764\pi\) |
0.381029 | − | 0.924563i | \(-0.375570\pi\) | |||||||
\(264\) | −1.44552 | + | 23.2574i | −0.0889658 | + | 1.43139i | ||||
\(265\) | −4.93309 | − | 21.7588i | −0.303037 | − | 1.33663i | ||||
\(266\) | 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 | \(0.953103\pi\) | |||||||
\(270\) | −24.2149 | + | 15.1926i | −1.47367 | + | 0.924590i | ||||
\(271\) | 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 | ||||
\(275\) | −5.74300 | − | 12.0145i | −0.346316 | − | 0.724503i | ||||
\(276\) | −7.98113 | − | 16.0473i | −0.480408 | − | 0.965935i | ||||
\(277\) | −12.0348 | + | 6.94832i | −0.723104 | + | 0.417484i | −0.815894 | − | 0.578202i | \(-0.803755\pi\) |
0.0927903 | + | 0.995686i | \(0.470421\pi\) | |||||||
\(278\) | 2.19495 | − | 1.26725i | 0.131644 | − | 0.0760048i | ||||
\(279\) | −19.5627 | + | 8.25835i | −1.17119 | + | 0.494415i | ||||
\(280\) | −22.1035 | − | 20.1130i | −1.32093 | − | 1.20198i | ||||
\(281\) | 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 | \(-0.488090\pi\) | ||||
0.0374075 | + | 0.999300i | \(0.488090\pi\) | |||||||
\(284\) | − | 6.71479i | − | 0.398450i | ||||||
\(285\) | −14.3179 | − | 17.5445i | −0.848117 | − | 1.03925i | ||||
\(286\) | −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 | ||||
\(290\) | −25.9970 | + | 5.89396i | −1.52660 | + | 0.346105i | ||||
\(291\) | 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 | −0.728993 | − | 0.684521i | \(-0.760011\pi\) |
0.228316 | + | 0.973587i | \(0.426678\pi\) | |||||||
\(294\) | 11.9928 | − | 27.3128i | 0.699432 | − | 1.59291i | ||||
\(295\) | 10.5754 | − | 9.78403i | 0.615724 | − | 0.569648i | ||||
\(296\) | −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 | ||||||||
\(300\) | 27.6571 | + | 21.6147i | 1.59678 | + | 1.24793i | ||||
\(301\) | 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 | ||||
\(305\) | −13.4330 | − | 14.5195i | −0.769172 | − | 0.831387i | ||||
\(306\) | 2.67099 | − | 21.4041i | 0.152690 | − | 1.22359i | ||||
\(307\) | 11.8075 | 0.673887 | 0.336944 | − | 0.941525i | \(-0.390607\pi\) | ||||
0.336944 | + | 0.941525i | \(0.390607\pi\) | |||||||
\(308\) | 16.3511 | + | 23.4167i | 0.931693 | + | 1.33429i | ||||
\(309\) | −1.33012 | − | 2.67442i | −0.0756680 | − | 0.152142i | ||||
\(310\) | 26.4444 | + | 28.5834i | 1.50194 | + | 1.62343i | ||||
\(311\) | 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 | \(-0.870719\pi\) | ||||
−0.918650 | + | 0.395073i | \(0.870719\pi\) | |||||||
\(314\) | −2.06528 | −0.116550 | ||||||||
\(315\) | −5.89928 | + | 16.7391i | −0.332387 | + | 0.943143i | ||||
\(316\) | 46.8037 | 2.63291 | ||||||||
\(317\) | −13.0079 | −0.730596 | −0.365298 | − | 0.930891i | \(-0.619033\pi\) | ||||
−0.365298 | + | 0.930891i | \(0.619033\pi\) | |||||||
\(318\) | −18.9344 | − | 38.0707i | −1.06179 | − | 2.13490i | ||||
\(319\) | 12.9048 | 0.722533 | ||||||||
\(320\) | 12.0463 | − | 11.1449i | 0.673411 | − | 0.623018i | ||||
\(321\) | −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 | ||||
\(325\) | −14.5013 | + | 6.93167i | −0.804386 | + | 0.384500i | ||||
\(326\) | −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 | ||||
\(330\) | −16.0457 | − | 19.6617i | −0.883286 | − | 1.08234i | ||||
\(331\) | 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 | ||||
\(335\) | 15.0286 | + | 16.2442i | 0.821100 | + | 0.887514i | ||||
\(336\) | −17.3834 | − | 9.48998i | −0.948340 | − | 0.517721i | ||||
\(337\) | 3.55677 | − | 2.05350i | 0.193750 | − | 0.111861i | −0.399987 | − | 0.916521i | \(-0.630985\pi\) |
0.593737 | + | 0.804659i | \(0.297652\pi\) | |||||||
\(338\) | 3.28034 | − | 5.68171i | 0.178427 | − | 0.309044i | ||||
\(339\) | 17.8023 | + | 1.10647i | 0.966886 | + | 0.0600951i | ||||
\(340\) | −25.8307 | + | 5.85626i | −1.40086 | + | 0.317600i | ||||
\(341\) | −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 | ||||
\(345\) | 9.24420 | + | 3.50832i | 0.497691 | + | 0.188882i | ||||
\(346\) | − | 43.5634i | − | 2.34199i | ||||||
\(347\) | 7.07823 | 0.379979 | 0.189990 | − | 0.981786i | \(-0.439155\pi\) | ||||
0.189990 | + | 0.981786i | \(0.439155\pi\) | |||||||
\(348\) | −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 | \(0.611991\pi\) | |||||||
\(350\) | 32.5458 | − | 0.268909i | 1.73965 | − | 0.0143738i | ||||
\(351\) | −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 | −0.300058 | − | 0.953921i | \(-0.597006\pi\) |
0.676091 | + | 0.736818i | \(0.263673\pi\) | |||||||
\(354\) | 15.1769 | − | 22.8806i | 0.806641 | − | 1.21609i | ||||
\(355\) | 2.51572 | + | 2.71920i | 0.133521 | + | 0.144320i | ||||
\(356\) | 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 | \(0.0374785\pi\) | |||||||
\(360\) | 30.8744 | + | 13.9657i | 1.62722 | + | 0.736056i | ||||
\(361\) | 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 | ||||
\(365\) | 3.92450 | + | 17.3101i | 0.205418 | + | 0.906054i | ||||
\(366\) | −31.4141 | − | 20.8371i | −1.64204 | − | 1.08917i | ||||
\(367\) | 7.78705 | + | 13.4876i | 0.406481 | + | 0.704045i | 0.994493 | − | 0.104807i | \(-0.0334226\pi\) |
−0.588012 | + | 0.808852i | \(0.700089\pi\) | |||||||
\(368\) | −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 | 0.998489 | − | 0.0549593i | \(-0.0175029\pi\) |
0.451648 | + | 0.892196i | \(0.350836\pi\) | |||||||
\(374\) | 19.1493 | 0.990189 | ||||||||
\(375\) | −19.2980 | + | 1.60878i | −0.996543 | + | 0.0830770i | ||||
\(376\) | 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 | 0.689714 | − | 0.724082i | \(-0.257736\pi\) |
−0.282216 | + | 0.959351i | \(0.591070\pi\) | |||||||
\(384\) | 18.3030 | − | 27.5936i | 0.934020 | − | 1.40813i | ||||
\(385\) | −15.3947 | − | 3.35675i | −0.784584 | − | 0.171076i | ||||
\(386\) | 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 | \(0.443294\pi\) | |||||||
\(390\) | −23.7313 | + | 19.3668i | −1.20168 | + | 0.980676i | ||||
\(391\) | −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 | ||||||||
\(395\) | −18.9535 | + | 17.5352i | −0.953654 | + | 0.882289i | ||||
\(396\) | −25.8249 | − | 19.5405i | −1.29775 | − | 0.981948i | ||||
\(397\) | 14.0380 | + | 24.3145i | 0.704547 | + | 1.22031i | 0.966855 | + | 0.255327i | \(0.0821832\pi\) |
−0.262307 | + | 0.964984i | \(0.584483\pi\) | |||||||
\(398\) | −5.94503 | − | 3.43237i | −0.297998 | − | 0.172049i | ||||
\(399\) | −26.7867 | + | 0.640080i | −1.34101 | + | 0.0320441i | ||||
\(400\) | 1.67738 | − | 21.5439i | 0.0838692 | − | 1.07720i | ||||
\(401\) | 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 | ||||
\(405\) | 0.510011 | − | 20.1181i | 0.0253427 | − | 0.999679i | ||||
\(406\) | −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 | ||||
\(415\) | 30.8378 | − | 6.99146i | 1.51377 | − | 0.343197i | ||||
\(416\) | −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 | \(0.827740\pi\) | |||||||
\(420\) | 40.2737 | − | 10.1481i | 1.96516 | − | 0.495176i | ||||
\(421\) | −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 | ||||
\(430\) | 14.9179 | − | 3.38214i | 0.719403 | − | 0.163101i | ||||
\(431\) | −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 | \(-0.391558\pi\) | ||||
0.334129 | + | 0.942527i | \(0.391558\pi\) | |||||||
\(434\) | 45.9042 | − | 3.95588i | 2.20347 | − | 0.189888i | ||||
\(435\) | 6.65866 | − | 17.5452i | 0.319258 | − | 0.841226i | ||||
\(436\) | −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 | \(-0.615241\pi\) | ||||
−0.354184 | + | 0.935176i | \(0.615241\pi\) | |||||||
\(444\) | 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 | \(-0.148055\pi\) | |||||||
\(450\) | −35.0110 | + | 11.6703i | −1.65043 | + | 0.550143i | ||||
\(451\) | −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 | ||||
\(455\) | −4.05152 | + | 18.5810i | −0.189938 | + | 0.871092i | ||||
\(456\) | −3.17348 | + | 51.0590i | −0.148612 | + | 2.39106i | ||||
\(457\) | − | 33.7447i | − | 1.57851i | −0.614066 | − | 0.789254i | \(-0.710467\pi\) | ||
0.614066 | − | 0.789254i | \(-0.289533\pi\) | |||||||
\(458\) | −32.4134 | − | 18.7139i | −1.51458 | − | 0.874442i | ||||
\(459\) | 11.5177 | + | 9.89618i | 0.537601 | + | 0.461914i | ||||
\(460\) | −5.11591 | − | 22.5651i | −0.238530 | − | 1.05211i | ||||
\(461\) | 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 | −0.917273 | − | 0.398259i | \(-0.869615\pi\) |
−0.113734 | + | 0.993511i | \(0.536281\pi\) | |||||||
\(464\) | 18.1354 | + | 10.4705i | 0.841917 | + | 0.486081i | ||||
\(465\) | −27.0595 | + | 4.39115i | −1.25486 | + | 0.203635i | ||||
\(466\) | 12.0999 | + | 20.9577i | 0.560519 | + | 0.970848i | ||||
\(467\) | −20.3304 | + | 11.7377i | −0.940777 | + | 0.543158i | −0.890204 | − | 0.455563i | \(-0.849438\pi\) |
−0.0505730 | + | 0.998720i | \(0.516105\pi\) | |||||||
\(468\) | −23.5850 | + | 31.1701i | −1.09022 | + | 1.44084i | ||||
\(469\) | 26.0877 | − | 2.24816i | 1.20462 | − | 0.103810i | ||||
\(470\) | −22.5807 | − | 24.4072i | −1.04157 | − | 1.12582i | ||||
\(471\) | 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 | ||||
\(475\) | −12.6081 | − | 26.3765i | −0.578499 | − | 1.21024i | ||||
\(476\) | −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 | \(0.675306\pi\) | |||||||
\(480\) | −0.328909 | − | 2.02684i | −0.0150126 | − | 0.0925120i | ||||
\(481\) | 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 | ||||
\(485\) | 1.37372 | + | 6.05916i | 0.0623772 | + | 0.275132i | ||||
\(486\) | −8.11615 | − | 37.4840i | −0.368156 | − | 1.70031i | ||||
\(487\) | −2.46902 | − | 1.42549i | −0.111882 | − | 0.0645950i | 0.443015 | − | 0.896514i | \(-0.353909\pi\) |
−0.554897 | + | 0.831919i | \(0.687242\pi\) | |||||||
\(488\) | 44.6853i | 2.02281i | ||||||||
\(489\) | 0.593408 | − | 9.54750i | 0.0268349 | − | 0.431753i | ||||
\(490\) | 23.3768 | − | 30.6031i | 1.05606 | − | 1.38251i | ||||
\(491\) | −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 | ||||
\(495\) | 17.7789 | − | 1.76232i | 0.799103 | − | 0.0792105i | ||||
\(496\) | − | 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 | \(-0.802195\pi\) | ||
0.813052 | − | 0.582192i | \(-0.197805\pi\) | |||||||
\(504\) | 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 | \(0.164639\pi\) | |||||||
\(510\) | 9.88070 | − | 26.0350i | 0.437525 | − | 1.15285i | ||||
\(511\) | 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 | ||||
\(515\) | −0.852608 | − | 3.76067i | −0.0375704 | − | 0.165715i | ||||
\(516\) | 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 | 0.953991 | − | 0.299837i | \(-0.0969322\pi\) |
−0.736661 | + | 0.676262i | \(0.763599\pi\) | |||||||
\(524\) | −38.3985 | + | 66.5081i | −1.67745 | + | 2.90542i | ||||
\(525\) | −12.5071 | + | 19.1982i | −0.545856 | + | 0.837879i | ||||
\(526\) | −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 | ||||
\(530\) | −12.1370 | − | 53.5335i | −0.527197 | − | 2.32535i | ||||
\(531\) | 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 | ||||
\(540\) | −39.8921 | + | 25.0285i | −1.71668 | + | 1.07705i | ||||
\(541\) | 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 | ||||
\(545\) | −0.207803 | − | 0.916571i | −0.00890128 | − | 0.0392616i | ||||
\(546\) | 0.865793 | + | 36.2325i | 0.0370525 | + | 1.55061i | ||||
\(547\) | 38.7934 | + | 22.3974i | 1.65869 | + | 0.957644i | 0.973322 | + | 0.229445i | \(0.0736910\pi\) |
0.685366 | + | 0.728199i | \(0.259642\pi\) | |||||||
\(548\) | 19.4054 | + | 33.6111i | 0.828956 | + | 1.43579i | ||||
\(549\) | 24.4489 | − | 10.3210i | 1.04345 | − | 0.440491i | ||||
\(550\) | −14.1296 | − | 29.5596i | −0.602488 | − | 1.26042i | ||||
\(551\) | 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 | ||||
\(555\) | 4.52205 | + | 5.54114i | 0.191951 | + | 0.235208i | ||||
\(556\) | 3.61599 | − | 2.08769i | 0.153352 | − | 0.0885378i | ||||
\(557\) | −14.4946 | + | 25.1054i | −0.614156 | + | 1.06375i | 0.376376 | + | 0.926467i | \(0.377170\pi\) |
−0.990532 | + | 0.137282i | \(0.956163\pi\) | |||||||
\(558\) | −48.1305 | + | 20.3182i | −2.03753 | + | 0.860137i | ||||
\(559\) | 8.93791i | 0.378033i | ||||||||
\(560\) | −18.9109 | − | 17.2079i | −0.799131 | − | 0.727168i | ||||
\(561\) | −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 | \(-0.913099\pi\) | ||
0.962965 | − | 0.269627i | \(-0.0869005\pi\) | |||||||
\(564\) | −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 | \(-0.0333647\pi\) | |||||||
\(570\) | −35.2265 | − | 43.1651i | −1.47548 | − | 1.80799i | ||||
\(571\) | 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 | −0.901998 | − | 0.431739i | \(-0.857900\pi\) |
0.824897 | + | 0.565284i | \(0.191233\pi\) | |||||||
\(578\) | −10.4066 | − | 18.0248i | −0.432857 | − | 0.749731i | ||||
\(579\) | −28.3402 | − | 18.7982i | −1.17778 | − | 0.781227i | ||||
\(580\) | −42.8278 | + | 9.70981i | −1.77833 | + | 0.403178i | ||||
\(581\) | 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 | ||||
\(585\) | −2.12708 | − | 21.4588i | −0.0879441 | − | 0.887211i | ||||
\(586\) | −21.0854 | + | 12.1737i | −0.871030 | + | 0.502890i | ||||
\(587\) | 26.9691 | + | 15.5706i | 1.11314 | + | 0.642669i | 0.939640 | − | 0.342165i | \(-0.111160\pi\) |
0.173496 | + | 0.984835i | \(0.444494\pi\) | |||||||
\(588\) | 19.7570 | − | 44.9955i | 0.814767 | − | 1.85558i | ||||
\(589\) | −20.6930 | − | 35.8413i | −0.852638 | − | 1.47681i | ||||
\(590\) | 26.0189 | − | 24.0718i | 1.07118 | − | 0.991021i | ||||
\(591\) | 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 | −0.460936 | − | 0.887433i | \(-0.652486\pi\) |
0.538072 | + | 0.842899i | \(0.319153\pi\) | |||||||
\(594\) | 32.1288 | − | 11.2705i | 1.31826 | − | 0.462433i | ||||
\(595\) | −5.25631 | − | 16.4708i | −0.215488 | − | 0.675236i | ||||
\(596\) | 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 | \(0.842421\pi\) | |||||||
\(600\) | 34.4689 | + | 26.9383i | 1.40719 | + | 1.09975i | ||||
\(601\) | 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 | ||||
\(605\) | −1.93154 | − | 8.51958i | −0.0785281 | − | 0.346370i | ||||
\(606\) | −56.6172 | − | 3.51895i | −2.29992 | − | 0.142947i | ||||
\(607\) | −23.4891 | + | 40.6843i | −0.953393 | + | 1.65132i | −0.215389 | + | 0.976528i | \(0.569102\pi\) |
−0.738004 | + | 0.674796i | \(0.764231\pi\) | |||||||
\(608\) | 2.68461 | − | 1.54996i | 0.108875 | − | 0.0628592i | ||||
\(609\) | −11.5584 | − | 18.9589i | −0.468371 | − | 0.768255i | ||||
\(610\) | −33.0495 | − | 35.7227i | −1.33813 | − | 1.44637i | ||||
\(611\) | 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 | 0.563055 | − | 0.826420i | \(-0.309626\pi\) |
−0.434173 | + | 0.900830i | \(0.642959\pi\) | |||||||
\(614\) | 29.0501 | 1.17237 | ||||||||
\(615\) | −31.2097 | + | 25.4699i | −1.25850 | + | 1.02704i | ||||
\(616\) | 20.3784 | + | 29.1841i | 0.821067 | + | 1.17586i | ||||
\(617\) | 5.72414 | + | 9.91450i | 0.230445 | + | 0.399143i | 0.957939 | − | 0.286971i | \(-0.0926484\pi\) |
−0.727494 | + | 0.686114i | \(0.759315\pi\) | |||||||
\(618\) | −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 | \(0.290511\pi\) | |||||||
\(620\) | 43.5650 | + | 47.0887i | 1.74961 | + | 1.89113i | ||||
\(621\) | −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 | ||||
\(625\) | −24.6987 | − | 3.86948i | −0.987949 | − | 0.154779i | ||||
\(626\) | −79.9730 | −3.19636 | ||||||||
\(627\) | 12.0111 | + | 24.1502i | 0.479677 | + | 0.964466i | ||||
\(628\) | −3.40237 | −0.135769 | ||||||||
\(629\) | −5.39673 | −0.215182 | ||||||||
\(630\) | −14.5141 | + | 41.1836i | −0.578256 | + | 1.64079i | ||||
\(631\) | 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 | ||||||||
\(635\) | 19.1677 | + | 20.7181i | 0.760647 | + | 0.822172i | ||||
\(636\) | −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 | ||||
\(640\) | 31.3782 | − | 29.0301i | 1.24033 | − | 1.14752i | ||||
\(641\) | −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 | 0.639515 | − | 0.768779i | \(-0.279135\pi\) |
−0.985539 | + | 0.169447i | \(0.945802\pi\) | |||||||
\(644\) | −24.7969 | − | 11.6023i | −0.977136 | − | 0.457196i | ||||
\(645\) | −3.82094 | + | 10.0679i | −0.150450 | + | 0.396425i | ||||
\(646\) | 42.0402 | 1.65405 | ||||||||
\(647\) | 12.4689 | + | 7.19895i | 0.490205 | + | 0.283020i | 0.724659 | − | 0.689107i | \(-0.241997\pi\) |
−0.234455 | + | 0.972127i | \(0.575330\pi\) | |||||||
\(648\) | −31.7101 | + | 32.5784i | −1.24569 | + | 1.27980i | ||||
\(649\) | −14.8609 | + | 8.57997i | −0.583343 | + | 0.336793i | ||||
\(650\) | −35.6778 | + | 17.0541i | −1.39940 | + | 0.668918i | ||||
\(651\) | −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 | −0.834910 | − | 0.550387i | \(-0.814480\pi\) |
0.894104 | + | 0.447860i | \(0.147814\pi\) | |||||||
\(654\) | −0.797598 | − | 1.60370i | −0.0311886 | − | 0.0627095i | ||||
\(655\) | −9.36775 | − | 41.3191i | −0.366028 | − | 1.61447i | ||||
\(656\) | −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 | \(0.799234\pi\) | |||||||
\(660\) | −26.4339 | − | 32.3910i | −1.02894 | − | 1.26082i | ||||
\(661\) | 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 | ||||
\(665\) | −33.7972 | − | 7.36936i | −1.31060 | − | 0.285772i | ||||
\(666\) | 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 | ||||
\(670\) | 36.9751 | + | 39.9659i | 1.42847 | + | 1.54402i | ||||
\(671\) | 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 | 0.646561 | − | 0.762862i | \(-0.276207\pi\) |
−0.337378 | + | 0.941369i | \(0.609540\pi\) | |||||||
\(674\) | 8.75078 | − | 5.05227i | 0.337068 | − | 0.194606i | ||||
\(675\) | 6.77758 | − | 25.0812i | 0.260869 | − | 0.965374i | ||||
\(676\) | 5.40408 | − | 9.36014i | 0.207849 | − | 0.360005i | ||||
\(677\) | − | 40.7161i | − | 1.56485i | −0.622747 | − | 0.782423i | \(-0.713983\pi\) | ||
0.622747 | − | 0.782423i | \(-0.286017\pi\) | |||||||
\(678\) | 43.7992 | + | 2.72226i | 1.68210 | + | 0.104548i | ||||
\(679\) | 6.65843 | + | 3.11544i | 0.255527 | + | 0.119560i | ||||
\(680\) | −32.1926 | + | 7.29862i | −1.23453 | + | 0.279889i | ||||
\(681\) | −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 | −0.670772 | − | 0.741664i | \(-0.734037\pi\) |
0.977686 | + | 0.210073i | \(0.0673703\pi\) | |||||||
\(684\) | −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 | ||||||||
\(690\) | 22.7437 | + | 8.63158i | 0.865837 | + | 0.328599i | ||||
\(691\) | 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 | ||||
\(700\) | 53.6165 | − | 0.443004i | 2.02651 | − | 0.0167440i | ||||
\(701\) | − | 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 | ||||
\(705\) | 23.1060 | − | 3.74957i | 0.870221 | − | 0.141217i | ||||
\(706\) | 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 | \(0.749846\pi\) | |||||||
\(710\) | 6.18947 | + | 6.69011i | 0.232287 | + | 0.251075i | ||||
\(711\) | −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 | ||||
\(715\) | 18.6700 | − | 4.23282i | 0.698219 | − | 0.158298i | ||||
\(716\) | −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 | \(0.587950\pi\) | |||||||
\(720\) | 26.4149 | + | 11.9485i | 0.984427 | + | 0.445295i | ||||
\(721\) | −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 | −0.801789 | − | 0.597607i | \(-0.796118\pi\) |
0.918438 | + | 0.395566i | \(0.129452\pi\) | |||||||
\(728\) | 35.2246 | − | 24.5962i | 1.30551 | − | 0.911597i | ||||
\(729\) | 25.1489 | + | 9.82502i | 0.931442 | + | 0.363890i | ||||
\(730\) | 9.65553 | + | 42.5884i | 0.357367 | + | 1.57627i | ||||
\(731\) | −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 | −0.700057 | − | 0.714087i | \(-0.746842\pi\) |
0.968446 | + | 0.249224i | \(0.0801755\pi\) | |||||||
\(734\) | 19.1586 | + | 33.1837i | 0.707157 | + | 1.22483i | ||||
\(735\) | 8.85697 | + | 25.6233i | 0.326694 | + | 0.945130i | ||||
\(736\) | −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 | 0.673948 | − | 0.738779i | \(-0.264597\pi\) |
−0.976775 | + | 0.214266i | \(0.931264\pi\) | |||||||
\(744\) | 51.6081 | + | 34.2319i | 1.89204 | + | 1.25500i | ||||
\(745\) | −22.8838 | + | 5.18816i | −0.838399 | + | 0.190080i | ||||
\(746\) | 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 | ||||
\(750\) | −47.4792 | + | 3.95811i | −1.73369 | + | 0.144530i | ||||
\(751\) | 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 | \(-0.940773\pi\) | ||
0.982740 | − | 0.184995i | \(-0.0592268\pi\) | |||||||
\(758\) | −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 | ||||||||
\(765\) | 11.4289 | + | 15.9280i | 0.413214 | + | 0.575876i | ||||
\(766\) | 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 | \(0.967490\pi\) | |||||||
\(770\) | −37.8758 | − | 8.25867i | −1.36495 | − | 0.297622i | ||||
\(771\) | −0.937935 | + | 0.466482i | −0.0337789 | + | 0.0167999i | ||||
\(772\) | 79.5818i | 2.86421i | ||||||||
\(773\) | 31.7653 | + | 18.3397i | 1.14252 | + | 0.659634i | 0.947053 | − | 0.321077i | \(-0.104045\pi\) |
0.195466 | + | 0.980711i | \(0.437378\pi\) | |||||||
\(774\) | −2.54124 | + | 20.3644i | −0.0913431 | + | 0.731983i | ||||
\(775\) | −35.2839 | − | 2.74716i | −1.26744 | − | 0.0986811i | ||||
\(776\) | 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 | ||||
\(780\) | −39.0953 | + | 31.9052i | −1.39984 | + | 1.14239i | ||||
\(781\) | −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 | ||||
\(785\) | 1.37782 | − | 1.27471i | 0.0491764 | − | 0.0454964i | ||||
\(786\) | −35.9557 | − | 72.2947i | −1.28250 | − | 2.57867i | ||||
\(787\) | 21.6118 | 0.770377 | 0.385189 | − | 0.922838i | \(-0.374136\pi\) | ||||
0.385189 | + | 0.922838i | \(0.374136\pi\) | |||||||
\(788\) | −47.5218 | −1.69289 | ||||||||
\(789\) | 34.2129 | + | 2.12644i | 1.21801 | + | 0.0757034i | ||||
\(790\) | −46.6316 | + | 43.1421i | −1.65908 | + | 1.53493i | ||||
\(791\) | 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 | ||||
\(795\) | 36.1294 | + | 13.7117i | 1.28138 | + | 0.486303i | ||||
\(796\) | −9.79394 | − | 5.65453i | −0.347137 | − | 0.200420i | ||||
\(797\) | 6.31824 | − | 3.64784i | 0.223803 | − | 0.129213i | −0.383907 | − | 0.923372i | \(-0.625422\pi\) |
0.607710 | + | 0.794159i | \(0.292088\pi\) | |||||||
\(798\) | −65.9038 | + | 1.57480i | −2.33297 | + | 0.0557474i | ||||
\(799\) | −8.83148 | + | 15.2966i | −0.312435 | + | 0.541154i | ||||
\(800\) | 0.205770 | − | 2.64286i | 0.00727508 | − | 0.0934394i | ||||
\(801\) | 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 | ||||
\(805\) | 14.3885 | − | 4.59180i | 0.507130 | − | 0.161840i | ||||
\(806\) | −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 | \(0.822454\pi\) | |||||||
\(810\) | 1.25479 | − | 49.4970i | 0.0440888 | − | 1.73915i | ||||
\(811\) | 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 | \(-0.966581\pi\) | ||
0.994494 | − | 0.104798i | \(-0.0334195\pi\) | |||||||
\(824\) | −4.35561 | + | 7.54415i | −0.151735 | + | 0.262813i | ||||
\(825\) | 22.8400 | + | 3.21343i | 0.795187 | + | 0.111877i | ||||
\(826\) | −3.60095 | − | 41.7857i | −0.125293 | − | 1.45391i | ||||
\(827\) | −6.67647 | −0.232164 | −0.116082 | − | 0.993240i | \(-0.537033\pi\) | ||||
−0.116082 | + | 0.993240i | \(0.537033\pi\) | |||||||
\(828\) | 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 | \(0.877256\pi\) | |||||||
\(830\) | 75.8708 | − | 17.2012i | 2.63351 | − | 0.597063i | ||||
\(831\) | 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 | \(0.195277\pi\) | |||||||
\(840\) | 50.1929 | − | 12.6475i | 1.73182 | − | 0.436380i | ||||
\(841\) | −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 | ||||
\(845\) | 1.31839 | + | 5.81511i | 0.0453539 | + | 0.200046i | ||||
\(846\) | 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 | −0.999593 | − | 0.0285270i | \(-0.990918\pi\) |
0.524502 | + | 0.851409i | \(0.324252\pi\) | |||||||
\(854\) | −57.3698 | + | 4.94394i | −1.96315 | + | 0.169178i | ||||
\(855\) | 39.0316 | − | 3.86898i | 1.33485 | − | 0.132316i | ||||
\(856\) | 17.0077 | + | 29.4582i | 0.581311 | + | 1.00686i | ||||
\(857\) | 9.25825 | − | 5.34525i | 0.316256 | − | 0.182590i | −0.333467 | − | 0.942762i | \(-0.608218\pi\) |
0.649722 | + | 0.760172i | \(0.274885\pi\) | |||||||
\(858\) | 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 | \(0.637828\pi\) | |||||||
\(860\) | 24.5759 | − | 5.57178i | 0.838031 | − | 0.189996i | ||||
\(861\) | 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 | 0.893144 | − | 0.449772i | \(-0.148495\pi\) |
−0.836085 | + | 0.548599i | \(0.815161\pi\) | |||||||
\(864\) | 2.70723 | + | 0.510050i | 0.0921018 | + | 0.0173523i | ||||
\(865\) | 26.8878 | + | 29.0626i | 0.914212 | + | 0.988158i | ||||
\(866\) | 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 | ||||
\(870\) | 16.3824 | − | 43.1667i | 0.555416 | − | 1.46349i | ||||
\(871\) | −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 | ||||||||
\(875\) | −21.5464 | + | 20.2670i | −0.728402 | + | 0.685150i | ||||
\(876\) | 24.8154 | + | 49.8952i | 0.838434 | + | 1.68580i | ||||
\(877\) | −35.2640 | − | 20.3597i | −1.19078 | − | 0.687498i | −0.232298 | − | 0.972645i | \(-0.574624\pi\) |
−0.958484 | + | 0.285146i | \(0.907958\pi\) | |||||||
\(878\) | 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 | \(-0.837853\pi\) | ||
0.873037 | − | 0.487655i | \(-0.162147\pi\) | |||||||
\(884\) | − | 38.0764i | − | 1.28065i | ||||||
\(885\) | 3.99717 | + | 24.6317i | 0.134363 | + | 0.827987i | ||||
\(886\) | −36.6819 | −1.23235 | ||||||||
\(887\) | 5.52226 | + | 3.18828i | 0.185419 | + | 0.107052i | 0.589836 | − | 0.807523i | \(-0.299192\pi\) |
−0.404417 | + | 0.914575i | \(0.632526\pi\) | |||||||
\(888\) | 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 | ||||
\(895\) | 12.7302 | − | 2.88616i | 0.425524 | − | 0.0964737i | ||||
\(896\) | −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 | ||||
\(900\) | −57.6776 | + | 19.2258i | −1.92259 | + | 0.640860i | ||||
\(901\) | −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 | ||||
\(905\) | −19.9831 | − | 21.5994i | −0.664261 | − | 0.717989i | ||||
\(906\) | 103.631 | + | 6.44102i | 3.44292 | + | 0.213989i | ||||
\(907\) | −7.23234 | + | 4.17559i | −0.240146 | + | 0.138648i | −0.615244 | − | 0.788337i | \(-0.710942\pi\) |
0.375098 | + | 0.926985i | \(0.377609\pi\) | |||||||
\(908\) | 52.1948 | − | 30.1347i | 1.73215 | − | 1.00006i | ||||
\(909\) | 24.0965 | − | 31.8461i | 0.799229 | − | 1.05627i | ||||
\(910\) | −9.96804 | + | 45.7152i | −0.330437 | + | 1.51544i | ||||
\(911\) | −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 | ||||||
\(915\) | 33.8182 | − | 5.48793i | 1.11800 | − | 0.181425i | ||||
\(916\) | −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 | \(0.962021\pi\) | |||||||
\(920\) | −6.37593 | − | 28.1228i | −0.210208 | − | 0.927182i | ||||
\(921\) | −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 | ||||
\(925\) | 3.98205 | + | 8.33058i | 0.130929 | + | 0.273908i | ||||
\(926\) | −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 | \(0.486164\pi\) | |||||||
\(930\) | −66.5751 | + | 10.8036i | −2.18308 | + | 0.354265i | ||||
\(931\) | −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 | ||||
\(935\) | −12.7752 | + | 11.8192i | −0.417792 | + | 0.386528i | ||||
\(936\) | −29.3939 | + | 38.8472i | −0.960768 | + | 1.26976i | ||||
\(937\) | −41.6720 | −1.36136 | −0.680682 | − | 0.732579i | \(-0.738316\pi\) | ||||
−0.680682 | + | 0.732579i | \(0.738316\pi\) | |||||||
\(938\) | 64.1842 | − | 5.53118i | 2.09569 | − | 0.180599i | ||||
\(939\) | 31.1207 | − | 46.9176i | 1.01559 | − | 1.53110i | ||||
\(940\) | −37.1999 | − | 40.2088i | −1.21333 | − | 1.31147i | ||||
\(941\) | 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 | ||||||||
\(945\) | −18.5131 | − | 24.5411i | −0.602230 | − | 0.798323i | ||||
\(946\) | −18.2191 | −0.592355 | ||||||||
\(947\) | −23.1432 | −0.752054 | −0.376027 | − | 0.926609i | \(-0.622710\pi\) | ||||
−0.376027 | + | 0.926609i | \(0.622710\pi\) | |||||||
\(948\) | −44.8102 | + | 67.5559i | −1.45537 | + | 2.19411i | ||||
\(949\) | −25.5165 | −0.828301 | ||||||||
\(950\) | −31.0199 | − | 64.8947i | −1.00642 | − | 2.10546i | ||||
\(951\) | 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 | \(-0.419389\pi\) | ||||
0.250549 | + | 0.968104i | \(0.419389\pi\) | |||||||
\(954\) | 73.0787 | + | 9.11939i | 2.36601 | + | 0.295251i | ||||
\(955\) | −1.07202 | − | 1.15874i | −0.0346899 | − | 0.0374958i | ||||
\(956\) | −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 | ||||
\(960\) | 4.55314 | + | 28.0578i | 0.146952 | + | 0.905560i | ||||
\(961\) | −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 | ||||
\(965\) | −29.8156 | − | 32.2272i | −0.959798 | − | 1.03743i | ||||
\(966\) | 24.5763 | − | 14.9831i | 0.790731 | − | 0.482074i | ||||
\(967\) | 32.8410 | − | 18.9608i | 1.05610 | − | 0.609737i | 0.131746 | − | 0.991283i | \(-0.457942\pi\) |
0.924350 | + | 0.381546i | \(0.124608\pi\) | |||||||
\(968\) | −9.86740 | + | 17.0908i | −0.317150 | + | 0.549320i | ||||
\(969\) | −16.3595 | + | 24.6636i | −0.525544 | + | 0.792310i | ||||
\(970\) | 3.37978 | + | 14.9075i | 0.108518 | + | 0.478650i | ||||
\(971\) | −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 | ||||
\(975\) | 3.87854 | − | 27.5674i | 0.124213 | − | 0.882864i | ||||
\(976\) | 38.2310i | 1.22375i | ||||||||
\(977\) | −20.8740 | −0.667820 | −0.333910 | − | 0.942605i | \(-0.608368\pi\) | ||||
−0.333910 | + | 0.942605i | \(0.608368\pi\) | |||||||
\(978\) | 1.45997 | − | 23.4899i | 0.0466848 | − | 0.751124i | ||||
\(979\) | 16.2858 | + | 9.40260i | 0.520496 | + | 0.300508i | ||||
\(980\) | 38.5114 | − | 50.4160i | 1.23020 | − | 1.61048i | ||||
\(981\) | 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 | −0.864188 | − | 0.503169i | \(-0.832167\pi\) |
0.00366333 | + | 0.999993i | \(0.498834\pi\) | |||||||
\(984\) | 90.8282 | + | 5.64527i | 2.89550 | + | 0.179965i | ||||
\(985\) | 19.2443 | − | 17.8042i | 0.613174 | − | 0.567289i | ||||
\(986\) | 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 | ||||
\(990\) | 43.7418 | − | 4.33587i | 1.39021 | − | 0.137803i | ||||
\(991\) | 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 | ||||
\(995\) | 6.08462 | − | 1.37949i | 0.192895 | − | 0.0437327i | ||||
\(996\) | 88.8878 | − | 44.2084i | 2.81652 | − | 1.40080i | ||||
\(997\) | −26.2342 | − | 45.4390i | −0.830847 | − | 1.43907i | −0.897368 | − | 0.441284i | \(-0.854523\pi\) |
0.0665210 | − | 0.997785i | \(-0.478810\pi\) | |||||||
\(998\) | −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.164.41 | yes | 88 | |
3.2 | odd | 2 | 945.2.bq.a.899.4 | 88 | |||
5.4 | even | 2 | inner | 315.2.bq.a.164.4 | yes | 88 | |
7.5 | odd | 6 | 315.2.u.a.299.4 | yes | 88 | ||
9.4 | even | 3 | 945.2.u.a.584.4 | 88 | |||
9.5 | odd | 6 | 315.2.u.a.59.41 | yes | 88 | ||
15.14 | odd | 2 | 945.2.bq.a.899.41 | 88 | |||
21.5 | even | 6 | 945.2.u.a.89.41 | 88 | |||
35.19 | odd | 6 | 315.2.u.a.299.41 | yes | 88 | ||
45.4 | even | 6 | 945.2.u.a.584.41 | 88 | |||
45.14 | odd | 6 | 315.2.u.a.59.4 | ✓ | 88 | ||
63.5 | even | 6 | inner | 315.2.bq.a.194.4 | yes | 88 | |
63.40 | odd | 6 | 945.2.bq.a.719.41 | 88 | |||
105.89 | even | 6 | 945.2.u.a.89.4 | 88 | |||
315.194 | even | 6 | inner | 315.2.bq.a.194.41 | yes | 88 | |
315.229 | odd | 6 | 945.2.bq.a.719.4 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.4 | ✓ | 88 | 45.14 | odd | 6 | ||
315.2.u.a.59.41 | yes | 88 | 9.5 | odd | 6 | ||
315.2.u.a.299.4 | yes | 88 | 7.5 | odd | 6 | ||
315.2.u.a.299.41 | yes | 88 | 35.19 | odd | 6 | ||
315.2.bq.a.164.4 | yes | 88 | 5.4 | even | 2 | inner | |
315.2.bq.a.164.41 | yes | 88 | 1.1 | even | 1 | trivial | |
315.2.bq.a.194.4 | yes | 88 | 63.5 | even | 6 | inner | |
315.2.bq.a.194.41 | yes | 88 | 315.194 | even | 6 | inner | |
945.2.u.a.89.4 | 88 | 105.89 | even | 6 | |||
945.2.u.a.89.41 | 88 | 21.5 | even | 6 | |||
945.2.u.a.584.4 | 88 | 9.4 | even | 3 | |||
945.2.u.a.584.41 | 88 | 45.4 | even | 6 | |||
945.2.bq.a.719.4 | 88 | 315.229 | odd | 6 | |||
945.2.bq.a.719.41 | 88 | 63.40 | odd | 6 | |||
945.2.bq.a.899.4 | 88 | 3.2 | odd | 2 | |||
945.2.bq.a.899.41 | 88 | 15.14 | odd | 2 |