Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 152.14 | ||
Character | \(\chi\) | \(=\) | 273.152 |
Dual form | 273.2.bf.b.185.14 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.667801 | + | 0.385555i | −0.472207 | + | 0.272629i | −0.717163 | − | 0.696905i | \(-0.754560\pi\) |
0.244956 | + | 0.969534i | \(0.421226\pi\) | |||||||
\(3\) | 1.00894 | − | 1.40785i | 0.582511 | − | 0.812823i | ||||
\(4\) | −0.702694 | + | 1.21710i | −0.351347 | + | 0.608551i | ||||
\(5\) | 0.907647 | − | 1.57209i | 0.405912 | − | 0.703060i | −0.588515 | − | 0.808486i | \(-0.700287\pi\) |
0.994427 | + | 0.105426i | \(0.0336206\pi\) | |||||||
\(6\) | −0.130967 | + | 1.32917i | −0.0534669 | + | 0.542630i | ||||
\(7\) | 1.94952 | + | 1.78868i | 0.736848 | + | 0.676058i | ||||
\(8\) | − | 2.62593i | − | 0.928407i | ||||||
\(9\) | −0.964085 | − | 2.84087i | −0.321362 | − | 0.946957i | ||||
\(10\) | 1.39979i | 0.442653i | ||||||||
\(11\) | − | 0.582432i | − | 0.175610i | −0.996138 | − | 0.0878049i | \(-0.972015\pi\) | ||
0.996138 | − | 0.0878049i | \(-0.0279852\pi\) | |||||||
\(12\) | 1.00452 | + | 2.21727i | 0.289981 | + | 0.640071i | ||||
\(13\) | 3.53127 | + | 0.728085i | 0.979399 | + | 0.201935i | ||||
\(14\) | −1.99153 | − | 0.442837i | −0.532258 | − | 0.118353i | ||||
\(15\) | −1.29751 | − | 2.86397i | −0.335015 | − | 0.739475i | ||||
\(16\) | −0.392948 | − | 0.680606i | −0.0982370 | − | 0.170151i | ||||
\(17\) | −0.479095 | + | 0.829817i | −0.116198 | + | 0.201260i | −0.918258 | − | 0.395983i | \(-0.870404\pi\) |
0.802060 | + | 0.597243i | \(0.203737\pi\) | |||||||
\(18\) | 1.73913 | + | 1.52543i | 0.409917 | + | 0.359547i | ||||
\(19\) | − | 1.92492i | − | 0.441608i | −0.975318 | − | 0.220804i | \(-0.929132\pi\) | ||
0.975318 | − | 0.220804i | \(-0.0708681\pi\) | |||||||
\(20\) | 1.27560 | + | 2.20940i | 0.285232 | + | 0.494036i | ||||
\(21\) | 4.48514 | − | 0.939958i | 0.978738 | − | 0.205116i | ||||
\(22\) | 0.224560 | + | 0.388949i | 0.0478763 | + | 0.0829242i | ||||
\(23\) | 7.56166 | − | 4.36573i | 1.57672 | − | 0.910317i | 0.581402 | − | 0.813617i | \(-0.302505\pi\) |
0.995314 | − | 0.0967001i | \(-0.0308288\pi\) | |||||||
\(24\) | −3.69692 | − | 2.64940i | −0.754630 | − | 0.540807i | ||||
\(25\) | 0.852355 | + | 1.47632i | 0.170471 | + | 0.295265i | ||||
\(26\) | −2.63891 | + | 0.875284i | −0.517532 | + | 0.171657i | ||||
\(27\) | −4.97222 | − | 1.50898i | −0.956904 | − | 0.290403i | ||||
\(28\) | −3.54692 | + | 1.11587i | −0.670306 | + | 0.210879i | ||||
\(29\) | −4.26919 | − | 2.46482i | −0.792769 | − | 0.457705i | 0.0481677 | − | 0.998839i | \(-0.484662\pi\) |
−0.840936 | + | 0.541134i | \(0.817995\pi\) | |||||||
\(30\) | 1.97070 | + | 1.41230i | 0.359798 | + | 0.257850i | ||||
\(31\) | −2.83579 | + | 1.63724i | −0.509322 | + | 0.294057i | −0.732555 | − | 0.680708i | \(-0.761672\pi\) |
0.223233 | + | 0.974765i | \(0.428339\pi\) | |||||||
\(32\) | 5.07307 | + | 2.92894i | 0.896800 | + | 0.517768i | ||||
\(33\) | −0.819977 | − | 0.587638i | −0.142740 | − | 0.102295i | ||||
\(34\) | − | 0.738871i | − | 0.126715i | ||||||
\(35\) | 4.58144 | − | 1.44133i | 0.774405 | − | 0.243629i | ||||
\(36\) | 4.13509 | + | 0.822874i | 0.689181 | + | 0.137146i | ||||
\(37\) | 0.899986 | + | 1.55882i | 0.147957 | + | 0.256269i | 0.930472 | − | 0.366363i | \(-0.119397\pi\) |
−0.782515 | + | 0.622631i | \(0.786064\pi\) | |||||||
\(38\) | 0.742164 | + | 1.28547i | 0.120395 | + | 0.208530i | ||||
\(39\) | 4.58787 | − | 4.23691i | 0.734648 | − | 0.678449i | ||||
\(40\) | −4.12820 | − | 2.38342i | −0.652726 | − | 0.376851i | ||||
\(41\) | −1.73088 | + | 2.99798i | −0.270319 | + | 0.468205i | −0.968943 | − | 0.247283i | \(-0.920462\pi\) |
0.698625 | + | 0.715488i | \(0.253796\pi\) | |||||||
\(42\) | −2.63278 | + | 2.35697i | −0.406246 | + | 0.363689i | ||||
\(43\) | −0.367529 | − | 0.636578i | −0.0560476 | − | 0.0970772i | 0.836640 | − | 0.547753i | \(-0.184517\pi\) |
−0.892688 | + | 0.450675i | \(0.851183\pi\) | |||||||
\(44\) | 0.708879 | + | 0.409272i | 0.106868 | + | 0.0617000i | ||||
\(45\) | −5.34115 | − | 1.06288i | −0.796212 | − | 0.158445i | ||||
\(46\) | −3.36646 | + | 5.83087i | −0.496357 | + | 0.859715i | ||||
\(47\) | −3.49201 | + | 6.04834i | −0.509362 | + | 0.882241i | 0.490579 | + | 0.871397i | \(0.336785\pi\) |
−0.999941 | + | 0.0108447i | \(0.996548\pi\) | |||||||
\(48\) | −1.35465 | − | 0.133478i | −0.195527 | − | 0.0192659i | ||||
\(49\) | 0.601235 | + | 6.97413i | 0.0858907 | + | 0.996305i | ||||
\(50\) | −1.13841 | − | 0.657260i | −0.160995 | − | 0.0929506i | ||||
\(51\) | 0.684881 | + | 1.51173i | 0.0959025 | + | 0.211684i | ||||
\(52\) | −3.36756 | + | 3.78630i | −0.466997 | + | 0.525065i | ||||
\(53\) | −5.08741 | + | 2.93722i | −0.698810 | + | 0.403458i | −0.806904 | − | 0.590683i | \(-0.798858\pi\) |
0.108094 | + | 0.994141i | \(0.465525\pi\) | |||||||
\(54\) | 3.90225 | − | 0.909369i | 0.531029 | − | 0.123749i | ||||
\(55\) | −0.915636 | − | 0.528642i | −0.123464 | − | 0.0712821i | ||||
\(56\) | 4.69695 | − | 5.11930i | 0.627657 | − | 0.684095i | ||||
\(57\) | −2.71000 | − | 1.94213i | −0.358949 | − | 0.257241i | ||||
\(58\) | 3.80129 | 0.499134 | ||||||||
\(59\) | −3.82837 | + | 6.63092i | −0.498411 | + | 0.863273i | −0.999998 | − | 0.00183405i | \(-0.999416\pi\) |
0.501587 | + | 0.865107i | \(0.332750\pi\) | |||||||
\(60\) | 4.39750 | + | 0.433299i | 0.567715 | + | 0.0559386i | ||||
\(61\) | − | 3.82987i | − | 0.490365i | −0.969477 | − | 0.245182i | \(-0.921152\pi\) | ||
0.969477 | − | 0.245182i | \(-0.0788479\pi\) | |||||||
\(62\) | 1.26249 | − | 2.18670i | 0.160337 | − | 0.277712i | ||||
\(63\) | 3.20191 | − | 7.26277i | 0.403403 | − | 0.915022i | ||||
\(64\) | −2.94528 | −0.368159 | ||||||||
\(65\) | 4.34976 | − | 4.89064i | 0.539522 | − | 0.606609i | ||||
\(66\) | 0.774149 | + | 0.0762792i | 0.0952911 | + | 0.00938931i | ||||
\(67\) | −10.1565 | −1.24081 | −0.620405 | − | 0.784282i | \(-0.713032\pi\) | ||||
−0.620405 | + | 0.784282i | \(0.713032\pi\) | |||||||
\(68\) | −0.673315 | − | 1.16622i | −0.0816515 | − | 0.141424i | ||||
\(69\) | 1.48296 | − | 15.0504i | 0.178528 | − | 1.81186i | ||||
\(70\) | −2.50378 | + | 2.72892i | −0.299259 | + | 0.326168i | ||||
\(71\) | −9.73044 | + | 5.61787i | −1.15479 | + | 0.666719i | −0.950050 | − | 0.312098i | \(-0.898968\pi\) |
−0.204740 | + | 0.978816i | \(0.565635\pi\) | |||||||
\(72\) | −7.45993 | + | 2.53162i | −0.879161 | + | 0.298354i | ||||
\(73\) | −7.30674 | + | 4.21855i | −0.855189 | + | 0.493744i | −0.862398 | − | 0.506230i | \(-0.831039\pi\) |
0.00720927 | + | 0.999974i | \(0.497705\pi\) | |||||||
\(74\) | −1.20202 | − | 0.693989i | −0.139732 | − | 0.0806745i | ||||
\(75\) | 2.93842 | + | 0.289531i | 0.339299 | + | 0.0334321i | ||||
\(76\) | 2.34283 | + | 1.35263i | 0.268741 | + | 0.155158i | ||||
\(77\) | 1.04179 | − | 1.13546i | 0.118722 | − | 0.129398i | ||||
\(78\) | −1.43022 | + | 4.59829i | −0.161941 | + | 0.520654i | ||||
\(79\) | 6.35477 | − | 11.0068i | 0.714968 | − | 1.23836i | −0.248004 | − | 0.968759i | \(-0.579775\pi\) |
0.962972 | − | 0.269602i | \(-0.0868921\pi\) | |||||||
\(80\) | −1.42663 | −0.159502 | ||||||||
\(81\) | −7.14108 | + | 5.47768i | −0.793454 | + | 0.608631i | ||||
\(82\) | − | 2.66940i | − | 0.294786i | ||||||
\(83\) | −7.45221 | −0.817987 | −0.408993 | − | 0.912537i | \(-0.634120\pi\) | ||||
−0.408993 | + | 0.912537i | \(0.634120\pi\) | |||||||
\(84\) | −2.00766 | + | 6.11938i | −0.219053 | + | 0.667679i | ||||
\(85\) | 0.869698 | + | 1.50636i | 0.0943320 | + | 0.163388i | ||||
\(86\) | 0.490872 | + | 0.283405i | 0.0529321 | + | 0.0305603i | ||||
\(87\) | −7.77745 | + | 3.52353i | −0.833830 | + | 0.377762i | ||||
\(88\) | −1.52943 | −0.163037 | ||||||||
\(89\) | 3.53452 | + | 6.12198i | 0.374659 | + | 0.648928i | 0.990276 | − | 0.139117i | \(-0.0444265\pi\) |
−0.615617 | + | 0.788045i | \(0.711093\pi\) | |||||||
\(90\) | 3.97662 | − | 1.34952i | 0.419173 | − | 0.142252i | ||||
\(91\) | 5.58197 | + | 7.73574i | 0.585149 | + | 0.810926i | ||||
\(92\) | 12.2711i | 1.27935i | ||||||||
\(93\) | −0.556143 | + | 5.64424i | −0.0576694 | + | 0.585280i | ||||
\(94\) | − | 5.38545i | − | 0.555467i | ||||||
\(95\) | −3.02615 | − | 1.74715i | −0.310477 | − | 0.179254i | ||||
\(96\) | 9.24192 | − | 4.18700i | 0.943249 | − | 0.427334i | ||||
\(97\) | 7.89537 | − | 4.55839i | 0.801653 | − | 0.462835i | −0.0423956 | − | 0.999101i | \(-0.513499\pi\) |
0.844049 | + | 0.536266i | \(0.180166\pi\) | |||||||
\(98\) | −3.09042 | − | 4.42552i | −0.312179 | − | 0.447045i | ||||
\(99\) | −1.65461 | + | 0.561514i | −0.166295 | + | 0.0564343i | ||||
\(100\) | −2.39578 | −0.239578 | ||||||||
\(101\) | −4.25938 | −0.423824 | −0.211912 | − | 0.977289i | \(-0.567969\pi\) | ||||
−0.211912 | + | 0.977289i | \(0.567969\pi\) | |||||||
\(102\) | −1.04022 | − | 0.745475i | −0.102997 | − | 0.0738131i | ||||
\(103\) | −1.48182 | − | 0.855530i | −0.146008 | − | 0.0842979i | 0.425216 | − | 0.905092i | \(-0.360198\pi\) |
−0.571224 | + | 0.820794i | \(0.693531\pi\) | |||||||
\(104\) | 1.91190 | − | 9.27288i | 0.187477 | − | 0.909281i | ||||
\(105\) | 2.59322 | − | 7.90419i | 0.253073 | − | 0.771370i | ||||
\(106\) | 2.26492 | − | 3.92296i | 0.219988 | − | 0.381031i | ||||
\(107\) | −15.8763 | + | 9.16617i | −1.53482 | + | 0.886127i | −0.535688 | + | 0.844416i | \(0.679948\pi\) |
−0.999130 | + | 0.0417114i | \(0.986719\pi\) | |||||||
\(108\) | 5.33053 | − | 4.99135i | 0.512931 | − | 0.480293i | ||||
\(109\) | 7.69087 | + | 13.3210i | 0.736651 | + | 1.27592i | 0.953995 | + | 0.299822i | \(0.0969275\pi\) |
−0.217344 | + | 0.976095i | \(0.569739\pi\) | |||||||
\(110\) | 0.815283 | 0.0777342 | ||||||||
\(111\) | 3.10262 | + | 0.305710i | 0.294488 | + | 0.0290167i | ||||
\(112\) | 0.451328 | − | 2.02971i | 0.0426465 | − | 0.191790i | ||||
\(113\) | 13.4652 | − | 7.77412i | 1.26670 | − | 0.731328i | 0.292335 | − | 0.956316i | \(-0.405568\pi\) |
0.974362 | + | 0.224988i | \(0.0722343\pi\) | |||||||
\(114\) | 2.55854 | + | 0.252101i | 0.239629 | + | 0.0236114i | ||||
\(115\) | − | 15.8501i | − | 1.47803i | ||||||
\(116\) | 5.99987 | − | 3.46403i | 0.557074 | − | 0.321627i | ||||
\(117\) | −1.33605 | − | 10.7338i | −0.123518 | − | 0.992342i | ||||
\(118\) | − | 5.90419i | − | 0.543524i | ||||||
\(119\) | −2.41828 | + | 0.760794i | −0.221684 | + | 0.0697419i | ||||
\(120\) | −7.52059 | + | 3.40716i | −0.686533 | + | 0.311030i | ||||
\(121\) | 10.6608 | 0.969161 | ||||||||
\(122\) | 1.47663 | + | 2.55759i | 0.133688 | + | 0.231554i | ||||
\(123\) | 2.47435 | + | 5.46160i | 0.223104 | + | 0.492456i | ||||
\(124\) | − | 4.60192i | − | 0.413265i | ||||||
\(125\) | 12.1710 | 1.08861 | ||||||||
\(126\) | 0.661956 | + | 6.08460i | 0.0589717 | + | 0.542059i | ||||
\(127\) | 3.36330 | − | 5.82541i | 0.298445 | − | 0.516922i | −0.677336 | − | 0.735674i | \(-0.736865\pi\) |
0.975780 | + | 0.218753i | \(0.0701988\pi\) | |||||||
\(128\) | −8.17928 | + | 4.72231i | −0.722953 | + | 0.417397i | ||||
\(129\) | −1.26702 | − | 0.124843i | −0.111555 | − | 0.0109918i | ||||
\(130\) | −1.01917 | + | 4.94305i | −0.0893869 | + | 0.433534i | ||||
\(131\) | 8.45044 | − | 14.6366i | 0.738318 | − | 1.27880i | −0.214934 | − | 0.976629i | \(-0.568954\pi\) |
0.953252 | − | 0.302176i | \(-0.0977131\pi\) | |||||||
\(132\) | 1.29141 | − | 0.585066i | 0.112403 | − | 0.0509235i | ||||
\(133\) | 3.44308 | − | 3.75267i | 0.298553 | − | 0.325398i | ||||
\(134\) | 6.78250 | − | 3.91588i | 0.585919 | − | 0.338280i | ||||
\(135\) | −6.88527 | + | 6.44716i | −0.592590 | + | 0.554883i | ||||
\(136\) | 2.17904 | + | 1.25807i | 0.186851 | + | 0.107879i | ||||
\(137\) | 11.9707 | + | 6.91127i | 1.02272 | + | 0.590470i | 0.914892 | − | 0.403699i | \(-0.132276\pi\) |
0.107832 | + | 0.994169i | \(0.465609\pi\) | |||||||
\(138\) | 4.81245 | + | 10.6225i | 0.409663 | + | 0.904244i | ||||
\(139\) | −6.06889 | + | 3.50387i | −0.514756 | + | 0.297195i | −0.734787 | − | 0.678298i | \(-0.762718\pi\) |
0.220030 | + | 0.975493i | \(0.429384\pi\) | |||||||
\(140\) | −1.46511 | + | 6.58890i | −0.123825 | + | 0.556863i | ||||
\(141\) | 4.99193 | + | 11.0186i | 0.420397 | + | 0.927937i | ||||
\(142\) | 4.33200 | − | 7.50324i | 0.363533 | − | 0.629658i | ||||
\(143\) | 0.424060 | − | 2.05673i | 0.0354617 | − | 0.171992i | ||||
\(144\) | −1.55468 | + | 1.77248i | −0.129556 | + | 0.147706i | ||||
\(145\) | −7.74983 | + | 4.47437i | −0.643588 | + | 0.371576i | ||||
\(146\) | 3.25297 | − | 5.63430i | 0.269217 | − | 0.466298i | ||||
\(147\) | 10.4251 | + | 6.19002i | 0.859851 | + | 0.510545i | ||||
\(148\) | −2.52966 | −0.207937 | ||||||||
\(149\) | − | 23.0231i | − | 1.88612i | −0.332617 | − | 0.943062i | \(-0.607932\pi\) | ||
0.332617 | − | 0.943062i | \(-0.392068\pi\) | |||||||
\(150\) | −2.07391 | + | 0.939572i | −0.169334 | + | 0.0767157i | ||||
\(151\) | 6.63079 | + | 11.4849i | 0.539606 | + | 0.934624i | 0.998925 | + | 0.0463533i | \(0.0147600\pi\) |
−0.459319 | + | 0.888271i | \(0.651907\pi\) | |||||||
\(152\) | −5.05472 | −0.409992 | ||||||||
\(153\) | 2.81929 | + | 0.561033i | 0.227926 | + | 0.0453569i | ||||
\(154\) | −0.257923 | + | 1.15993i | −0.0207840 | + | 0.0934697i | ||||
\(155\) | 5.94415i | 0.477445i | ||||||||
\(156\) | 1.93288 | + | 8.56117i | 0.154754 | + | 0.685442i | ||||
\(157\) | 16.2821 | − | 9.40048i | 1.29945 | − | 0.750240i | 0.319144 | − | 0.947706i | \(-0.396605\pi\) |
0.980310 | + | 0.197466i | \(0.0632714\pi\) | |||||||
\(158\) | 9.80046i | 0.779683i | ||||||||
\(159\) | −0.997724 | + | 10.1258i | −0.0791246 | + | 0.803027i | ||||
\(160\) | 9.20910 | − | 5.31688i | 0.728044 | − | 0.420336i | ||||
\(161\) | 22.5505 | + | 5.01434i | 1.77723 | + | 0.395186i | ||||
\(162\) | 2.65688 | − | 6.41128i | 0.208744 | − | 0.503718i | ||||
\(163\) | −5.33633 | −0.417973 | −0.208987 | − | 0.977918i | \(-0.567017\pi\) | ||||
−0.208987 | + | 0.977918i | \(0.567017\pi\) | |||||||
\(164\) | −2.43256 | − | 4.21332i | −0.189951 | − | 0.329005i | ||||
\(165\) | −1.66807 | + | 0.755710i | −0.129859 | + | 0.0588319i | ||||
\(166\) | 4.97660 | − | 2.87324i | 0.386259 | − | 0.223007i | ||||
\(167\) | −3.96880 | + | 6.87417i | −0.307115 | + | 0.531939i | −0.977730 | − | 0.209867i | \(-0.932697\pi\) |
0.670615 | + | 0.741806i | \(0.266030\pi\) | |||||||
\(168\) | −2.46826 | − | 11.7777i | −0.190431 | − | 0.908667i | ||||
\(169\) | 11.9398 | + | 5.14214i | 0.918445 | + | 0.395549i | ||||
\(170\) | −1.16157 | − | 0.670633i | −0.0890884 | − | 0.0514352i | ||||
\(171\) | −5.46846 | + | 1.85579i | −0.418183 | + | 0.141916i | ||||
\(172\) | 1.03304 | 0.0787686 | ||||||||
\(173\) | −18.6622 | −1.41886 | −0.709430 | − | 0.704776i | \(-0.751048\pi\) | ||||
−0.709430 | + | 0.704776i | \(0.751048\pi\) | |||||||
\(174\) | 3.83527 | − | 5.35165i | 0.290751 | − | 0.405708i | ||||
\(175\) | −0.978990 | + | 4.40271i | −0.0740047 | + | 0.332813i | ||||
\(176\) | −0.396407 | + | 0.228865i | −0.0298803 | + | 0.0172514i | ||||
\(177\) | 5.47276 | + | 12.0800i | 0.411358 | + | 0.907986i | ||||
\(178\) | −4.72072 | − | 2.72551i | −0.353833 | − | 0.204285i | ||||
\(179\) | − | 11.9693i | − | 0.894629i | −0.894377 | − | 0.447315i | \(-0.852380\pi\) | ||
0.894377 | − | 0.447315i | \(-0.147620\pi\) | |||||||
\(180\) | 5.04683 | − | 5.75385i | 0.376168 | − | 0.428867i | ||||
\(181\) | 25.7422i | 1.91340i | 0.291075 | + | 0.956700i | \(0.405987\pi\) | ||||
−0.291075 | + | 0.956700i | \(0.594013\pi\) | |||||||
\(182\) | −6.71020 | − | 3.01378i | −0.497393 | − | 0.223396i | ||||
\(183\) | −5.39189 | − | 3.86411i | −0.398580 | − | 0.285643i | ||||
\(184\) | −11.4641 | − | 19.8564i | −0.845144 | − | 1.46383i | ||||
\(185\) | 3.26748 | 0.240230 | ||||||||
\(186\) | −1.80477 | − | 3.98365i | −0.132332 | − | 0.292096i | ||||
\(187\) | 0.483312 | + | 0.279040i | 0.0353433 | + | 0.0204055i | ||||
\(188\) | −4.90764 | − | 8.50027i | −0.357926 | − | 0.619946i | ||||
\(189\) | −6.99435 | − | 11.8355i | −0.508764 | − | 0.860906i | ||||
\(190\) | 2.69449 | 0.195479 | ||||||||
\(191\) | 8.84553i | 0.640040i | 0.947411 | + | 0.320020i | \(0.103690\pi\) | ||||
−0.947411 | + | 0.320020i | \(0.896310\pi\) | |||||||
\(192\) | −2.97160 | + | 4.14651i | −0.214457 | + | 0.299248i | ||||
\(193\) | −9.67676 | −0.696548 | −0.348274 | − | 0.937393i | \(-0.613232\pi\) | ||||
−0.348274 | + | 0.937393i | \(0.613232\pi\) | |||||||
\(194\) | −3.51502 | + | 6.08820i | −0.252364 | + | 0.437107i | ||||
\(195\) | −2.49664 | − | 11.0582i | −0.178788 | − | 0.791892i | ||||
\(196\) | −8.91072 | − | 4.16892i | −0.636480 | − | 0.297780i | ||||
\(197\) | −6.49684 | − | 3.75095i | −0.462881 | − | 0.267244i | 0.250374 | − | 0.968149i | \(-0.419446\pi\) |
−0.713255 | + | 0.700905i | \(0.752780\pi\) | |||||||
\(198\) | 0.888458 | − | 1.01292i | 0.0631400 | − | 0.0719854i | ||||
\(199\) | −10.2847 | − | 5.93785i | −0.729060 | − | 0.420923i | 0.0890180 | − | 0.996030i | \(-0.471627\pi\) |
−0.818078 | + | 0.575107i | \(0.804960\pi\) | |||||||
\(200\) | 3.87672 | − | 2.23823i | 0.274126 | − | 0.158266i | ||||
\(201\) | −10.2473 | + | 14.2988i | −0.722786 | + | 1.00856i | ||||
\(202\) | 2.84442 | − | 1.64223i | 0.200133 | − | 0.115547i | ||||
\(203\) | −3.91408 | − | 12.4414i | −0.274715 | − | 0.873217i | ||||
\(204\) | −2.32119 | − | 0.228714i | −0.162516 | − | 0.0160132i | ||||
\(205\) | 3.14206 | + | 5.44221i | 0.219451 | + | 0.380100i | ||||
\(206\) | 1.31942 | 0.0919281 | ||||||||
\(207\) | −19.6925 | − | 17.2728i | −1.36873 | − | 1.20054i | ||||
\(208\) | −0.892067 | − | 2.68950i | −0.0618537 | − | 0.186484i | ||||
\(209\) | −1.12114 | −0.0775507 | ||||||||
\(210\) | 1.31574 | + | 6.27826i | 0.0907950 | + | 0.433241i | ||||
\(211\) | 10.9251 | − | 18.9229i | 0.752118 | − | 1.30271i | −0.194677 | − | 0.980867i | \(-0.562366\pi\) |
0.946794 | − | 0.321839i | \(-0.104301\pi\) | |||||||
\(212\) | − | 8.25587i | − | 0.567015i | ||||||
\(213\) | −1.90830 | + | 19.3671i | −0.130754 | + | 1.32701i | ||||
\(214\) | 7.06813 | − | 12.2424i | 0.483167 | − | 0.836871i | ||||
\(215\) | −1.33434 | −0.0910015 | ||||||||
\(216\) | −3.96247 | + | 13.0567i | −0.269612 | + | 0.888396i | ||||
\(217\) | −8.45692 | − | 1.88049i | −0.574093 | − | 0.127656i | ||||
\(218\) | −10.2719 | − | 5.93051i | −0.695703 | − | 0.401665i | ||||
\(219\) | −1.43297 | + | 14.5430i | −0.0968311 | + | 0.982728i | ||||
\(220\) | 1.28682 | − | 0.742948i | 0.0867577 | − | 0.0500896i | ||||
\(221\) | −2.29599 | + | 2.58149i | −0.154445 | + | 0.173650i | ||||
\(222\) | −2.18980 | + | 0.992077i | −0.146970 | + | 0.0665838i | ||||
\(223\) | −24.0650 | − | 13.8939i | −1.61151 | − | 0.930405i | −0.989021 | − | 0.147776i | \(-0.952788\pi\) |
−0.622488 | − | 0.782629i | \(-0.713878\pi\) | |||||||
\(224\) | 4.65110 | + | 14.7841i | 0.310764 | + | 0.987805i | ||||
\(225\) | 3.37230 | − | 3.84473i | 0.224820 | − | 0.256315i | ||||
\(226\) | −5.99471 | + | 10.3831i | −0.398762 | + | 0.690676i | ||||
\(227\) | 10.1042 | − | 17.5010i | 0.670641 | − | 1.16158i | −0.307081 | − | 0.951683i | \(-0.599352\pi\) |
0.977723 | − | 0.209901i | \(-0.0673143\pi\) | |||||||
\(228\) | 4.26808 | − | 1.93363i | 0.282660 | − | 0.128058i | ||||
\(229\) | −20.9871 | − | 12.1169i | −1.38687 | − | 0.800710i | −0.393909 | − | 0.919150i | \(-0.628877\pi\) |
−0.992961 | + | 0.118440i | \(0.962211\pi\) | |||||||
\(230\) | 6.11111 | + | 10.5847i | 0.402954 | + | 0.697937i | ||||
\(231\) | −0.547461 | − | 2.61229i | −0.0360203 | − | 0.171876i | ||||
\(232\) | −6.47244 | + | 11.2106i | −0.424937 | + | 0.736012i | ||||
\(233\) | 1.70972 | + | 0.987109i | 0.112008 | + | 0.0646676i | 0.554957 | − | 0.831879i | \(-0.312735\pi\) |
−0.442950 | + | 0.896547i | \(0.646068\pi\) | |||||||
\(234\) | 5.03070 | + | 6.65294i | 0.328867 | + | 0.434916i | ||||
\(235\) | 6.33903 | + | 10.9795i | 0.413512 | + | 0.716225i | ||||
\(236\) | −5.38034 | − | 9.31903i | −0.350231 | − | 0.606617i | ||||
\(237\) | −9.08434 | − | 20.0518i | −0.590091 | − | 1.30250i | ||||
\(238\) | 1.32160 | − | 1.44044i | 0.0856669 | − | 0.0933699i | ||||
\(239\) | 15.2639i | 0.987340i | 0.869649 | + | 0.493670i | \(0.164345\pi\) | ||||
−0.869649 | + | 0.493670i | \(0.835655\pi\) | |||||||
\(240\) | −1.43938 | + | 2.00848i | −0.0929118 | + | 0.129647i | ||||
\(241\) | 6.69319 | + | 3.86431i | 0.431146 | + | 0.248922i | 0.699835 | − | 0.714305i | \(-0.253257\pi\) |
−0.268689 | + | 0.963227i | \(0.586590\pi\) | |||||||
\(242\) | −7.11928 | + | 4.11032i | −0.457644 | + | 0.264221i | ||||
\(243\) | 0.506834 | + | 15.5802i | 0.0325134 | + | 0.999471i | ||||
\(244\) | 4.66135 | + | 2.69123i | 0.298412 | + | 0.172288i | ||||
\(245\) | 11.5097 | + | 5.38485i | 0.735326 | + | 0.344026i | ||||
\(246\) | −3.75812 | − | 2.69326i | −0.239609 | − | 0.171716i | ||||
\(247\) | 1.40151 | − | 6.79743i | 0.0891759 | − | 0.432510i | ||||
\(248\) | 4.29928 | + | 7.44657i | 0.273005 | + | 0.472858i | ||||
\(249\) | −7.51883 | + | 10.4916i | −0.476486 | + | 0.664878i | ||||
\(250\) | −8.12782 | + | 4.69260i | −0.514048 | + | 0.296786i | ||||
\(251\) | 3.19849 | + | 5.53994i | 0.201887 | + | 0.349678i | 0.949136 | − | 0.314866i | \(-0.101959\pi\) |
−0.747250 | + | 0.664543i | \(0.768626\pi\) | |||||||
\(252\) | 6.58956 | + | 9.00056i | 0.415103 | + | 0.566982i | ||||
\(253\) | −2.54274 | − | 4.40415i | −0.159861 | − | 0.276887i | ||||
\(254\) | 5.18695i | 0.325458i | ||||||||
\(255\) | 2.99820 | + | 0.295422i | 0.187755 | + | 0.0185000i | ||||
\(256\) | 6.58669 | − | 11.4085i | 0.411668 | − | 0.713031i | ||||
\(257\) | 5.95060 | + | 10.3067i | 0.371188 | + | 0.642917i | 0.989749 | − | 0.142820i | \(-0.0456172\pi\) |
−0.618560 | + | 0.785737i | \(0.712284\pi\) | |||||||
\(258\) | 0.894252 | − | 0.405136i | 0.0556737 | − | 0.0252226i | ||||
\(259\) | −1.03370 | + | 4.64874i | −0.0642308 | + | 0.288859i | ||||
\(260\) | 2.89585 | + | 8.73073i | 0.179593 | + | 0.541457i | ||||
\(261\) | −2.88637 | + | 14.5045i | −0.178662 | + | 0.897806i | ||||
\(262\) | 13.0324i | 0.805147i | ||||||||
\(263\) | 3.25780i | 0.200884i | 0.994943 | + | 0.100442i | \(0.0320257\pi\) | ||||
−0.994943 | + | 0.100442i | \(0.967974\pi\) | |||||||
\(264\) | −1.54310 | + | 2.15320i | −0.0949711 | + | 0.132520i | ||||
\(265\) | 10.6638i | 0.655074i | ||||||||
\(266\) | −0.852428 | + | 3.83353i | −0.0522657 | + | 0.235049i | ||||
\(267\) | 12.1849 | + | 1.20062i | 0.745707 | + | 0.0734767i | ||||
\(268\) | 7.13689 | − | 12.3615i | 0.435955 | − | 0.755096i | ||||
\(269\) | −12.4166 | + | 21.5061i | −0.757052 | + | 1.31125i | 0.187295 | + | 0.982304i | \(0.440028\pi\) |
−0.944348 | + | 0.328949i | \(0.893305\pi\) | |||||||
\(270\) | 2.11225 | − | 6.96007i | 0.128548 | − | 0.423577i | ||||
\(271\) | −3.05408 | + | 1.76328i | −0.185522 | + | 0.107111i | −0.589885 | − | 0.807487i | \(-0.700827\pi\) |
0.404362 | + | 0.914599i | \(0.367493\pi\) | |||||||
\(272\) | 0.753038 | 0.0456596 | ||||||||
\(273\) | 16.5226 | − | 0.0536826i | 0.999995 | − | 0.00324902i | ||||
\(274\) | −10.6587 | −0.643916 | ||||||||
\(275\) | 0.859857 | − | 0.496439i | 0.0518514 | − | 0.0299364i | ||||
\(276\) | 17.2759 | + | 12.3808i | 1.03988 | + | 0.745235i | ||||
\(277\) | 9.85684 | − | 17.0726i | 0.592240 | − | 1.02579i | −0.401690 | − | 0.915776i | \(-0.631577\pi\) |
0.993930 | − | 0.110014i | \(-0.0350897\pi\) | |||||||
\(278\) | 2.70187 | − | 4.67978i | 0.162048 | − | 0.280675i | ||||
\(279\) | 7.38513 | + | 6.47766i | 0.442136 | + | 0.387807i | ||||
\(280\) | −3.78482 | − | 12.0305i | −0.226186 | − | 0.718963i | ||||
\(281\) | − | 7.26918i | − | 0.433643i | −0.976211 | − | 0.216822i | \(-0.930431\pi\) | ||
0.976211 | − | 0.216822i | \(-0.0695690\pi\) | |||||||
\(282\) | −7.58191 | − | 5.43359i | −0.451496 | − | 0.323566i | ||||
\(283\) | − | 7.65355i | − | 0.454956i | −0.973783 | − | 0.227478i | \(-0.926952\pi\) | ||
0.973783 | − | 0.227478i | \(-0.0730480\pi\) | |||||||
\(284\) | − | 15.7906i | − | 0.936999i | ||||||
\(285\) | −5.51293 | + | 2.49760i | −0.326558 | + | 0.147945i | ||||
\(286\) | 0.509794 | + | 1.53698i | 0.0301447 | + | 0.0908837i | ||||
\(287\) | −8.73681 | + | 2.74861i | −0.515718 | + | 0.162245i | ||||
\(288\) | 3.42986 | − | 17.2357i | 0.202107 | − | 1.01562i | ||||
\(289\) | 8.04094 | + | 13.9273i | 0.472996 | + | 0.819253i | ||||
\(290\) | 3.45023 | − | 5.97597i | 0.202605 | − | 0.350921i | ||||
\(291\) | 1.54841 | − | 15.7146i | 0.0907694 | − | 0.921208i | ||||
\(292\) | − | 11.8574i | − | 0.693902i | ||||||
\(293\) | 1.60733 | + | 2.78398i | 0.0939012 | + | 0.162642i | 0.909149 | − | 0.416470i | \(-0.136733\pi\) |
−0.815248 | + | 0.579112i | \(0.803400\pi\) | |||||||
\(294\) | −9.34852 | − | 0.114238i | −0.545217 | − | 0.00666248i | ||||
\(295\) | 6.94961 | + | 12.0371i | 0.404622 | + | 0.700825i | ||||
\(296\) | 4.09336 | − | 2.36330i | 0.237922 | − | 0.137364i | ||||
\(297\) | −0.878877 | + | 2.89598i | −0.0509976 | + | 0.168042i | ||||
\(298\) | 8.87667 | + | 15.3748i | 0.514211 | + | 0.890640i | ||||
\(299\) | 29.8809 | − | 9.91104i | 1.72806 | − | 0.573170i | ||||
\(300\) | −2.41720 | + | 3.37290i | −0.139557 | + | 0.194735i | ||||
\(301\) | 0.422132 | − | 1.89841i | 0.0243313 | − | 0.109423i | ||||
\(302\) | −8.85609 | − | 5.11307i | −0.509611 | − | 0.294224i | ||||
\(303\) | −4.29745 | + | 5.99657i | −0.246882 | + | 0.344494i | ||||
\(304\) | −1.31011 | + | 0.756395i | −0.0751402 | + | 0.0433822i | ||||
\(305\) | −6.02090 | − | 3.47617i | −0.344756 | − | 0.199045i | ||||
\(306\) | −2.09904 | + | 0.712334i | −0.119994 | + | 0.0407214i | ||||
\(307\) | − | 0.411157i | − | 0.0234660i | −0.999931 | − | 0.0117330i | \(-0.996265\pi\) | ||
0.999931 | − | 0.0117330i | \(-0.00373481\pi\) | |||||||
\(308\) | 0.649916 | + | 2.06584i | 0.0370324 | + | 0.117712i | ||||
\(309\) | −2.69953 | + | 1.22301i | −0.153571 | + | 0.0695743i | ||||
\(310\) | −2.29180 | − | 3.96951i | −0.130165 | − | 0.225453i | ||||
\(311\) | −6.37864 | − | 11.0481i | −0.361700 | − | 0.626482i | 0.626541 | − | 0.779388i | \(-0.284470\pi\) |
−0.988241 | + | 0.152906i | \(0.951137\pi\) | |||||||
\(312\) | −11.1258 | − | 12.0474i | −0.629876 | − | 0.682052i | ||||
\(313\) | −16.6392 | − | 9.60667i | −0.940505 | − | 0.543001i | −0.0503864 | − | 0.998730i | \(-0.516045\pi\) |
−0.890119 | + | 0.455729i | \(0.849379\pi\) | |||||||
\(314\) | −7.24881 | + | 12.5553i | −0.409074 | + | 0.708537i | ||||
\(315\) | −8.51152 | − | 11.6257i | −0.479570 | − | 0.655035i | ||||
\(316\) | 8.93093 | + | 15.4688i | 0.502404 | + | 0.870189i | ||||
\(317\) | 10.7952 | + | 6.23260i | 0.606318 | + | 0.350058i | 0.771523 | − | 0.636201i | \(-0.219495\pi\) |
−0.165205 | + | 0.986259i | \(0.552829\pi\) | |||||||
\(318\) | −3.23777 | − | 7.14669i | −0.181565 | − | 0.400766i | ||||
\(319\) | −1.43559 | + | 2.48651i | −0.0803775 | + | 0.139218i | ||||
\(320\) | −2.67327 | + | 4.63024i | −0.149440 | + | 0.258838i | ||||
\(321\) | −3.11360 | + | 31.5995i | −0.173784 | + | 1.76371i | ||||
\(322\) | −16.9925 | + | 5.34587i | −0.946957 | + | 0.297914i | ||||
\(323\) | 1.59734 | + | 0.922222i | 0.0888781 | + | 0.0513138i | ||||
\(324\) | −1.64890 | − | 12.5406i | −0.0916053 | − | 0.696698i | ||||
\(325\) | 1.93501 | + | 5.83389i | 0.107335 | + | 0.323606i | ||||
\(326\) | 3.56360 | − | 2.05745i | 0.197370 | − | 0.113952i | ||||
\(327\) | 26.5135 | + | 2.61246i | 1.46620 | + | 0.144469i | ||||
\(328\) | 7.87248 | + | 4.54518i | 0.434685 | + | 0.250965i | ||||
\(329\) | −17.6263 | + | 5.54525i | −0.971769 | + | 0.305720i | ||||
\(330\) | 0.822571 | − | 1.14780i | 0.0452810 | − | 0.0631841i | ||||
\(331\) | 5.59840 | 0.307716 | 0.153858 | − | 0.988093i | \(-0.450830\pi\) | ||||
0.153858 | + | 0.988093i | \(0.450830\pi\) | |||||||
\(332\) | 5.23663 | − | 9.07011i | 0.287397 | − | 0.497787i | ||||
\(333\) | 3.56075 | − | 4.05958i | 0.195128 | − | 0.222464i | ||||
\(334\) | − | 6.12077i | − | 0.334914i | ||||||
\(335\) | −9.21848 | + | 15.9669i | −0.503660 | + | 0.872364i | ||||
\(336\) | −2.40217 | − | 2.68326i | −0.131049 | − | 0.146384i | ||||
\(337\) | −2.46442 | −0.134246 | −0.0671229 | − | 0.997745i | \(-0.521382\pi\) | ||||
−0.0671229 | + | 0.997745i | \(0.521382\pi\) | |||||||
\(338\) | −9.95598 | + | 1.16952i | −0.541534 | + | 0.0636135i | ||||
\(339\) | 2.64074 | − | 26.8006i | 0.143425 | − | 1.45561i | ||||
\(340\) | −2.44453 | −0.132573 | ||||||||
\(341\) | 0.953582 | + | 1.65165i | 0.0516393 | + | 0.0894420i | ||||
\(342\) | 2.93633 | − | 3.34769i | 0.158779 | − | 0.181022i | ||||
\(343\) | −11.3024 | + | 14.6716i | −0.610271 | + | 0.792192i | ||||
\(344\) | −1.67161 | + | 0.965104i | −0.0901272 | + | 0.0520349i | ||||
\(345\) | −22.3146 | − | 15.9918i | −1.20138 | − | 0.860971i | ||||
\(346\) | 12.4626 | − | 7.19531i | 0.669995 | − | 0.386822i | ||||
\(347\) | −22.2903 | − | 12.8693i | −1.19661 | − | 0.690861i | −0.236810 | − | 0.971556i | \(-0.576102\pi\) |
−0.959797 | + | 0.280695i | \(0.909435\pi\) | |||||||
\(348\) | 1.17667 | − | 11.9419i | 0.0630762 | − | 0.640154i | ||||
\(349\) | −16.4024 | − | 9.46994i | −0.878001 | − | 0.506914i | −0.00800232 | − | 0.999968i | \(-0.502547\pi\) |
−0.869999 | + | 0.493054i | \(0.835881\pi\) | |||||||
\(350\) | −1.04372 | − | 3.31759i | −0.0557890 | − | 0.177333i | ||||
\(351\) | −16.4596 | − | 8.94881i | −0.878549 | − | 0.477652i | ||||
\(352\) | 1.70591 | − | 2.95472i | 0.0909251 | − | 0.157487i | ||||
\(353\) | 29.4551 | 1.56774 | 0.783869 | − | 0.620927i | \(-0.213243\pi\) | ||||
0.783869 | + | 0.620927i | \(0.213243\pi\) | |||||||
\(354\) | −8.31221 | − | 5.95696i | −0.441789 | − | 0.316609i | ||||
\(355\) | 20.3962i | 1.08252i | ||||||||
\(356\) | −9.93476 | −0.526541 | ||||||||
\(357\) | −1.36882 | + | 4.17218i | −0.0724454 | + | 0.220815i | ||||
\(358\) | 4.61483 | + | 7.99313i | 0.243902 | + | 0.422450i | ||||
\(359\) | 15.2203 | + | 8.78743i | 0.803295 | + | 0.463783i | 0.844622 | − | 0.535363i | \(-0.179825\pi\) |
−0.0413270 | + | 0.999146i | \(0.513159\pi\) | |||||||
\(360\) | −2.79104 | + | 14.0255i | −0.147101 | + | 0.739208i | ||||
\(361\) | 15.2947 | 0.804983 | ||||||||
\(362\) | −9.92503 | − | 17.1906i | −0.521648 | − | 0.903520i | ||||
\(363\) | 10.7561 | − | 15.0088i | 0.564547 | − | 0.787756i | ||||
\(364\) | −13.3376 | + | 1.35796i | −0.699080 | + | 0.0711766i | ||||
\(365\) | 15.3158i | 0.801666i | ||||||||
\(366\) | 5.09053 | + | 0.501585i | 0.266086 | + | 0.0262183i | ||||
\(367\) | − | 0.747560i | − | 0.0390223i | −0.999810 | − | 0.0195112i | \(-0.993789\pi\) | ||
0.999810 | − | 0.0195112i | \(-0.00621099\pi\) | |||||||
\(368\) | −5.94268 | − | 3.43101i | −0.309783 | − | 0.178854i | ||||
\(369\) | 10.1856 | + | 2.02691i | 0.530240 | + | 0.105517i | ||||
\(370\) | −2.18203 | + | 1.25979i | −0.113438 | + | 0.0654935i | ||||
\(371\) | −15.1717 | − | 3.37360i | −0.787678 | − | 0.175149i | ||||
\(372\) | −6.47882 | − | 4.64306i | −0.335911 | − | 0.240731i | ||||
\(373\) | 30.7769 | 1.59356 | 0.796782 | − | 0.604266i | \(-0.206534\pi\) | ||||
0.796782 | + | 0.604266i | \(0.206534\pi\) | |||||||
\(374\) | −0.430342 | −0.0222525 | ||||||||
\(375\) | 12.2798 | − | 17.1350i | 0.634127 | − | 0.884846i | ||||
\(376\) | 15.8825 | + | 9.16978i | 0.819079 | + | 0.472895i | ||||
\(377\) | −13.2811 | − | 11.8123i | −0.684010 | − | 0.608363i | ||||
\(378\) | 9.23407 | + | 5.20705i | 0.474949 | + | 0.267822i | ||||
\(379\) | 4.18402 | − | 7.24693i | 0.214918 | − | 0.372250i | −0.738329 | − | 0.674441i | \(-0.764385\pi\) |
0.953247 | + | 0.302191i | \(0.0977181\pi\) | |||||||
\(380\) | 4.25292 | − | 2.45543i | 0.218170 | − | 0.125961i | ||||
\(381\) | −4.80794 | − | 10.6125i | −0.246318 | − | 0.543695i | ||||
\(382\) | −3.41044 | − | 5.90706i | −0.174493 | − | 0.302231i | ||||
\(383\) | 17.7810 | 0.908568 | 0.454284 | − | 0.890857i | \(-0.349895\pi\) | ||||
0.454284 | + | 0.890857i | \(0.349895\pi\) | |||||||
\(384\) | −1.60409 | + | 16.2797i | −0.0818583 | + | 0.830771i | ||||
\(385\) | −0.839474 | − | 2.66838i | −0.0427836 | − | 0.135993i | ||||
\(386\) | 6.46215 | − | 3.73092i | 0.328915 | − | 0.189899i | ||||
\(387\) | −1.45411 | + | 1.65782i | −0.0739164 | + | 0.0842715i | ||||
\(388\) | 12.8126i | 0.650463i | ||||||||
\(389\) | −3.30858 | + | 1.91021i | −0.167752 | + | 0.0968516i | −0.581525 | − | 0.813528i | \(-0.697544\pi\) |
0.413773 | + | 0.910380i | \(0.364211\pi\) | |||||||
\(390\) | 5.93079 | + | 6.42207i | 0.300317 | + | 0.325194i | ||||
\(391\) | 8.36640i | 0.423107i | ||||||||
\(392\) | 18.3136 | − | 1.57880i | 0.924976 | − | 0.0797415i | ||||
\(393\) | −12.0802 | − | 26.6644i | −0.609363 | − | 1.34504i | ||||
\(394\) | 5.78480 | 0.291434 | ||||||||
\(395\) | −11.5358 | − | 19.9806i | −0.580428 | − | 1.00533i | ||||
\(396\) | 0.479268 | − | 2.40841i | 0.0240841 | − | 0.121027i | ||||
\(397\) | 1.33365i | 0.0669341i | 0.999440 | + | 0.0334670i | \(0.0106549\pi\) | ||||
−0.999440 | + | 0.0334670i | \(0.989345\pi\) | |||||||
\(398\) | 9.15748 | 0.459023 | ||||||||
\(399\) | −1.80935 | − | 8.63355i | −0.0905806 | − | 0.432218i | ||||
\(400\) | 0.669862 | − | 1.16024i | 0.0334931 | − | 0.0580118i | ||||
\(401\) | −3.52277 | + | 2.03387i | −0.175919 | + | 0.101567i | −0.585374 | − | 0.810764i | \(-0.699052\pi\) |
0.409455 | + | 0.912330i | \(0.365719\pi\) | |||||||
\(402\) | 1.33016 | − | 13.4996i | 0.0663423 | − | 0.673300i | ||||
\(403\) | −11.2060 | + | 3.71685i | −0.558210 | + | 0.185150i | ||||
\(404\) | 2.99304 | − | 5.18410i | 0.148909 | − | 0.257919i | ||||
\(405\) | 2.12982 | + | 16.1982i | 0.105832 | + | 0.804896i | ||||
\(406\) | 7.41069 | + | 6.79930i | 0.367786 | + | 0.337444i | ||||
\(407\) | 0.907908 | − | 0.524181i | 0.0450033 | − | 0.0259827i | ||||
\(408\) | 3.96970 | − | 1.79845i | 0.196529 | − | 0.0890365i | ||||
\(409\) | 26.0937 | + | 15.0652i | 1.29025 | + | 0.744928i | 0.978699 | − | 0.205301i | \(-0.0658172\pi\) |
0.311554 | + | 0.950229i | \(0.399151\pi\) | |||||||
\(410\) | −4.19654 | − | 2.42287i | −0.207252 | − | 0.119657i | ||||
\(411\) | 21.8077 | − | 9.87986i | 1.07570 | − | 0.487338i | ||||
\(412\) | 2.08254 | − | 1.20235i | 0.102599 | − | 0.0592357i | ||||
\(413\) | −19.3241 | + | 6.07937i | −0.950876 | + | 0.299146i | ||||
\(414\) | 19.8103 | + | 3.94221i | 0.973623 | + | 0.193749i | ||||
\(415\) | −6.76398 | + | 11.7155i | −0.332030 | + | 0.575094i | ||||
\(416\) | 15.7819 | + | 14.0365i | 0.773770 | + | 0.688196i | ||||
\(417\) | −1.19021 | + | 12.0793i | −0.0582847 | + | 0.591525i | ||||
\(418\) | 0.748697 | − | 0.432260i | 0.0366199 | − | 0.0211425i | ||||
\(419\) | 2.07087 | − | 3.58686i | 0.101169 | − | 0.175229i | −0.810998 | − | 0.585049i | \(-0.801075\pi\) |
0.912166 | + | 0.409820i | \(0.134408\pi\) | |||||||
\(420\) | 7.79797 | + | 8.71045i | 0.380502 | + | 0.425027i | ||||
\(421\) | 15.5075 | 0.755792 | 0.377896 | − | 0.925848i | \(-0.376648\pi\) | ||||
0.377896 | + | 0.925848i | \(0.376648\pi\) | |||||||
\(422\) | 16.8490i | 0.820196i | ||||||||
\(423\) | 20.5491 | + | 4.08924i | 0.999134 | + | 0.198826i | ||||
\(424\) | 7.71293 | + | 13.3592i | 0.374573 | + | 0.648780i | ||||
\(425\) | −1.63344 | −0.0792334 | ||||||||
\(426\) | −6.19272 | − | 13.6691i | −0.300038 | − | 0.662271i | ||||
\(427\) | 6.85042 | − | 7.46640i | 0.331515 | − | 0.361325i | ||||
\(428\) | − | 25.7641i | − | 1.24535i | ||||||
\(429\) | −2.46771 | − | 2.67212i | −0.119142 | − | 0.129011i | ||||
\(430\) | 0.891076 | − | 0.514463i | 0.0429715 | − | 0.0248096i | ||||
\(431\) | − | 7.98464i | − | 0.384607i | −0.981336 | − | 0.192303i | \(-0.938404\pi\) | ||
0.981336 | − | 0.192303i | \(-0.0615957\pi\) | |||||||
\(432\) | 0.926805 | + | 3.97707i | 0.0445909 | + | 0.191347i | ||||
\(433\) | −27.4285 | + | 15.8358i | −1.31813 | + | 0.761022i | −0.983427 | − | 0.181302i | \(-0.941969\pi\) |
−0.334701 | + | 0.942324i | \(0.608635\pi\) | |||||||
\(434\) | 6.37257 | − | 2.00482i | 0.305893 | − | 0.0962342i | ||||
\(435\) | −1.51987 | + | 15.4250i | −0.0728721 | + | 0.739570i | ||||
\(436\) | −21.6173 | −1.03528 | ||||||||
\(437\) | −8.40369 | − | 14.5556i | −0.402003 | − | 0.696290i | ||||
\(438\) | −4.65021 | − | 10.2644i | −0.222196 | − | 0.490450i | ||||
\(439\) | −26.6894 | + | 15.4091i | −1.27381 | + | 0.735437i | −0.975704 | − | 0.219094i | \(-0.929690\pi\) |
−0.298111 | + | 0.954531i | \(0.596357\pi\) | |||||||
\(440\) | −1.38818 | + | 2.40440i | −0.0661788 | + | 0.114625i | ||||
\(441\) | 19.2330 | − | 8.43168i | 0.915855 | − | 0.401509i | ||||
\(442\) | 0.537961 | − | 2.60915i | 0.0255882 | − | 0.124105i | ||||
\(443\) | 6.41453 | + | 3.70343i | 0.304763 | + | 0.175955i | 0.644581 | − | 0.764536i | \(-0.277032\pi\) |
−0.339817 | + | 0.940491i | \(0.610365\pi\) | |||||||
\(444\) | −2.55227 | + | 3.56138i | −0.121126 | + | 0.169016i | ||||
\(445\) | 12.8324 | 0.608314 | ||||||||
\(446\) | 21.4275 | 1.01462 | ||||||||
\(447\) | −32.4130 | − | 23.2289i | −1.53308 | − | 1.09869i | ||||
\(448\) | −5.74186 | − | 5.26816i | −0.271278 | − | 0.248897i | ||||
\(449\) | 15.2937 | − | 8.82982i | 0.721754 | − | 0.416705i | −0.0936437 | − | 0.995606i | \(-0.529851\pi\) |
0.815398 | + | 0.578901i | \(0.196518\pi\) | |||||||
\(450\) | −0.769669 | + | 3.86772i | −0.0362825 | + | 0.182326i | ||||
\(451\) | 1.74612 | + | 1.00812i | 0.0822215 | + | 0.0474706i | ||||
\(452\) | 21.8513i | 1.02780i | ||||||||
\(453\) | 22.8590 | + | 2.25237i | 1.07401 | + | 0.105825i | ||||
\(454\) | 15.5830i | 0.731344i | ||||||||
\(455\) | 17.2277 | − | 1.75403i | 0.807648 | − | 0.0822304i | ||||
\(456\) | −5.09990 | + | 7.11628i | −0.238825 | + | 0.333250i | ||||
\(457\) | 0.815642 | + | 1.41273i | 0.0381541 | + | 0.0660849i | 0.884472 | − | 0.466593i | \(-0.154519\pi\) |
−0.846318 | + | 0.532678i | \(0.821186\pi\) | |||||||
\(458\) | 18.6870 | 0.873186 | ||||||||
\(459\) | 3.63434 | − | 3.40309i | 0.169637 | − | 0.158843i | ||||
\(460\) | 19.2913 | + | 11.1378i | 0.899459 | + | 0.519303i | ||||
\(461\) | 4.15756 | + | 7.20111i | 0.193637 | + | 0.335389i | 0.946453 | − | 0.322842i | \(-0.104638\pi\) |
−0.752816 | + | 0.658231i | \(0.771305\pi\) | |||||||
\(462\) | 1.37278 | + | 1.53341i | 0.0638674 | + | 0.0713408i | ||||
\(463\) | −33.1765 | −1.54184 | −0.770922 | − | 0.636930i | \(-0.780204\pi\) | ||||
−0.770922 | + | 0.636930i | \(0.780204\pi\) | |||||||
\(464\) | 3.87418i | 0.179854i | ||||||||
\(465\) | 8.36847 | + | 5.99728i | 0.388078 | + | 0.278117i | ||||
\(466\) | −1.52234 | −0.0705210 | ||||||||
\(467\) | −13.1401 | + | 22.7593i | −0.608050 | + | 1.05317i | 0.383512 | + | 0.923536i | \(0.374714\pi\) |
−0.991562 | + | 0.129637i | \(0.958619\pi\) | |||||||
\(468\) | 14.0030 | + | 5.91649i | 0.647289 | + | 0.273490i | ||||
\(469\) | −19.8002 | − | 18.1667i | −0.914289 | − | 0.838860i | ||||
\(470\) | −8.46642 | − | 4.88809i | −0.390527 | − | 0.225471i | ||||
\(471\) | 3.19318 | − | 32.4073i | 0.147134 | − | 1.49325i | ||||
\(472\) | 17.4123 | + | 10.0530i | 0.801468 | + | 0.462728i | ||||
\(473\) | −0.370763 | + | 0.214060i | −0.0170477 | + | 0.00984251i | ||||
\(474\) | 13.7976 | + | 9.88807i | 0.633744 | + | 0.454174i | ||||
\(475\) | 2.84181 | − | 1.64072i | 0.130391 | − | 0.0752813i | ||||
\(476\) | 0.773350 | − | 3.47791i | 0.0354464 | − | 0.159410i | ||||
\(477\) | 13.2489 | + | 11.6209i | 0.606628 | + | 0.532087i | ||||
\(478\) | −5.88508 | − | 10.1932i | −0.269177 | − | 0.466228i | ||||
\(479\) | −33.6107 | −1.53571 | −0.767857 | − | 0.640621i | \(-0.778677\pi\) | ||||
−0.767857 | + | 0.640621i | \(0.778677\pi\) | |||||||
\(480\) | 1.80605 | − | 18.3294i | 0.0824347 | − | 0.836621i | ||||
\(481\) | 2.04314 | + | 6.15989i | 0.0931592 | + | 0.280867i | ||||
\(482\) | −5.95962 | −0.271453 | ||||||||
\(483\) | 29.8115 | − | 26.6885i | 1.35647 | − | 1.21437i | ||||
\(484\) | −7.49127 | + | 12.9753i | −0.340512 | + | 0.589784i | ||||
\(485\) | − | 16.5496i | − | 0.751481i | ||||||
\(486\) | −6.34550 | − | 10.2091i | −0.287838 | − | 0.463093i | ||||
\(487\) | 6.04322 | − | 10.4672i | 0.273844 | − | 0.474312i | −0.695999 | − | 0.718043i | \(-0.745038\pi\) |
0.969843 | + | 0.243731i | \(0.0783713\pi\) | |||||||
\(488\) | −10.0570 | −0.455258 | ||||||||
\(489\) | −5.38403 | + | 7.51275i | −0.243474 | + | 0.339738i | ||||
\(490\) | −9.76233 | + | 0.841603i | −0.441017 | + | 0.0380198i | ||||
\(491\) | −0.903219 | − | 0.521474i | −0.0407617 | − | 0.0235338i | 0.479481 | − | 0.877552i | \(-0.340825\pi\) |
−0.520242 | + | 0.854019i | \(0.674158\pi\) | |||||||
\(492\) | −8.38604 | − | 0.826301i | −0.378072 | − | 0.0372525i | ||||
\(493\) | 4.09070 | − | 2.36177i | 0.184236 | − | 0.106369i | ||||
\(494\) | 1.68486 | + | 5.07969i | 0.0758052 | + | 0.228546i | ||||
\(495\) | −0.619054 | + | 3.11086i | −0.0278244 | + | 0.139823i | ||||
\(496\) | 2.22863 | + | 1.28670i | 0.100069 | + | 0.0577746i | ||||
\(497\) | −29.0182 | − | 6.45252i | −1.30165 | − | 0.289435i | ||||
\(498\) | 0.975991 | − | 9.90522i | 0.0437352 | − | 0.443864i | ||||
\(499\) | 8.90725 | − | 15.4278i | 0.398743 | − | 0.690643i | −0.594828 | − | 0.803853i | \(-0.702780\pi\) |
0.993571 | + | 0.113210i | \(0.0361132\pi\) | |||||||
\(500\) | −8.55251 | + | 14.8134i | −0.382480 | + | 0.662474i | ||||
\(501\) | 5.67352 | + | 12.5231i | 0.253474 | + | 0.559491i | ||||
\(502\) | −4.27190 | − | 2.46639i | −0.190664 | − | 0.110080i | ||||
\(503\) | −9.42384 | − | 16.3226i | −0.420188 | − | 0.727787i | 0.575769 | − | 0.817612i | \(-0.304703\pi\) |
−0.995958 | + | 0.0898249i | \(0.971369\pi\) | |||||||
\(504\) | −19.0715 | − | 8.40800i | −0.849513 | − | 0.374522i | ||||
\(505\) | −3.86601 | + | 6.69613i | −0.172035 | + | 0.297974i | ||||
\(506\) | 3.39609 | + | 1.96073i | 0.150975 | + | 0.0871652i | ||||
\(507\) | 19.2859 | − | 11.6213i | 0.856516 | − | 0.516121i | ||||
\(508\) | 4.72675 | + | 8.18697i | 0.209715 | + | 0.363238i | ||||
\(509\) | 9.26456 | + | 16.0467i | 0.410644 | + | 0.711257i | 0.994960 | − | 0.100269i | \(-0.0319705\pi\) |
−0.584316 | + | 0.811526i | \(0.698637\pi\) | |||||||
\(510\) | −2.11611 | + | 0.958690i | −0.0937027 | + | 0.0424515i | ||||
\(511\) | −21.7902 | − | 4.84530i | −0.963944 | − | 0.214343i | ||||
\(512\) | − | 8.73109i | − | 0.385863i | ||||||
\(513\) | −2.90467 | + | 9.57115i | −0.128244 | + | 0.422576i | ||||
\(514\) | −7.94763 | − | 4.58857i | −0.350555 | − | 0.202393i | ||||
\(515\) | −2.68994 | + | 1.55304i | −0.118533 | + | 0.0684350i | ||||
\(516\) | 1.04228 | − | 1.45437i | 0.0458836 | − | 0.0640249i | ||||
\(517\) | 3.52275 | + | 2.03386i | 0.154930 | + | 0.0894491i | ||||
\(518\) | −1.10204 | − | 3.50298i | −0.0484209 | − | 0.153912i | ||||
\(519\) | −18.8290 | + | 26.2736i | −0.826502 | + | 1.15328i | ||||
\(520\) | −12.8425 | − | 11.4222i | −0.563180 | − | 0.500896i | ||||
\(521\) | −15.3273 | − | 26.5477i | −0.671502 | − | 1.16307i | −0.977478 | − | 0.211036i | \(-0.932316\pi\) |
0.305977 | − | 0.952039i | \(-0.401017\pi\) | |||||||
\(522\) | −3.66477 | − | 10.7990i | −0.160403 | − | 0.472658i | ||||
\(523\) | −4.24906 | + | 2.45319i | −0.185798 | + | 0.107271i | −0.590014 | − | 0.807393i | \(-0.700878\pi\) |
0.404216 | + | 0.914664i | \(0.367544\pi\) | |||||||
\(524\) | 11.8762 | + | 20.5701i | 0.518812 | + | 0.898609i | ||||
\(525\) | 5.21061 | + | 5.82034i | 0.227410 | + | 0.254020i | ||||
\(526\) | −1.25606 | − | 2.17556i | −0.0547668 | − | 0.0948589i | ||||
\(527\) | − | 3.13758i | − | 0.136675i | ||||||
\(528\) | −0.0777417 | + | 0.788992i | −0.00338328 | + | 0.0343365i | ||||
\(529\) | 26.6191 | − | 46.1057i | 1.15735 | − | 2.00460i | ||||
\(530\) | −4.11149 | − | 7.12131i | −0.178592 | − | 0.309330i | ||||
\(531\) | 22.5285 | + | 4.48312i | 0.977652 | + | 0.194551i | ||||
\(532\) | 2.14796 | + | 6.82756i | 0.0931257 | + | 0.296012i | ||||
\(533\) | −8.29500 | + | 9.32645i | −0.359297 | + | 0.403973i | ||||
\(534\) | −8.60002 | + | 3.89619i | −0.372159 | + | 0.168605i | ||||
\(535\) | 33.2786i | 1.43876i | ||||||||
\(536\) | 26.6702i | 1.15198i | ||||||||
\(537\) | −16.8510 | − | 12.0763i | −0.727175 | − | 0.521131i | ||||
\(538\) | − | 19.1491i | − | 0.825577i | ||||||
\(539\) | 4.06196 | − | 0.350178i | 0.174961 | − | 0.0150833i | ||||
\(540\) | −3.00862 | − | 12.9105i | −0.129470 | − | 0.555578i | ||||
\(541\) | −5.85957 | + | 10.1491i | −0.251923 | + | 0.436343i | −0.964055 | − | 0.265702i | \(-0.914396\pi\) |
0.712132 | + | 0.702045i | \(0.247730\pi\) | |||||||
\(542\) | 1.35968 | − | 2.35504i | 0.0584033 | − | 0.101157i | ||||
\(543\) | 36.2411 | + | 25.9723i | 1.55526 | + | 1.11458i | ||||
\(544\) | −4.86097 | + | 2.80648i | −0.208412 | + | 0.120327i | ||||
\(545\) | 27.9224 | 1.19606 | ||||||||
\(546\) | −11.0131 | + | 6.40623i | −0.471318 | + | 0.274161i | ||||
\(547\) | −18.8378 | −0.805447 | −0.402724 | − | 0.915322i | \(-0.631936\pi\) | ||||
−0.402724 | + | 0.915322i | \(0.631936\pi\) | |||||||
\(548\) | −16.8235 | + | 9.71302i | −0.718662 | + | 0.414920i | ||||
\(549\) | −10.8802 | + | 3.69232i | −0.464354 | + | 0.157584i | ||||
\(550\) | −0.382809 | + | 0.663045i | −0.0163230 | + | 0.0282723i | ||||
\(551\) | −4.74459 | + | 8.21786i | −0.202126 | + | 0.350093i | ||||
\(552\) | −39.5214 | − | 3.89416i | −1.68214 | − | 0.165746i | ||||
\(553\) | 32.0764 | − | 10.0913i | 1.36403 | − | 0.429124i | ||||
\(554\) | 15.2014i | 0.645847i | ||||||||
\(555\) | 3.29669 | − | 4.60012i | 0.139936 | − | 0.195264i | ||||
\(556\) | − | 9.84861i | − | 0.417674i | ||||||
\(557\) | − | 18.1001i | − | 0.766928i | −0.923556 | − | 0.383464i | \(-0.874731\pi\) | ||
0.923556 | − | 0.383464i | \(-0.125269\pi\) | |||||||
\(558\) | −7.42929 | − | 1.47841i | −0.314507 | − | 0.0625862i | ||||
\(559\) | −0.834360 | − | 2.51552i | −0.0352897 | − | 0.106395i | ||||
\(560\) | −2.78124 | − | 2.55179i | −0.117529 | − | 0.107833i | ||||
\(561\) | 0.880480 | − | 0.398896i | 0.0371739 | − | 0.0168414i | ||||
\(562\) | 2.80267 | + | 4.85437i | 0.118224 | + | 0.204769i | ||||
\(563\) | −20.7050 | + | 35.8622i | −0.872613 | + | 1.51141i | −0.0133288 | + | 0.999911i | \(0.504243\pi\) |
−0.859284 | + | 0.511499i | \(0.829091\pi\) | |||||||
\(564\) | −16.9186 | − | 1.66704i | −0.712402 | − | 0.0701951i | ||||
\(565\) | − | 28.2246i | − | 1.18742i | ||||||
\(566\) | 2.95086 | + | 5.11105i | 0.124034 | + | 0.214833i | ||||
\(567\) | −23.7195 | − | 2.09430i | −0.996125 | − | 0.0879522i | ||||
\(568\) | 14.7521 | + | 25.5515i | 0.618986 | + | 1.07212i | ||||
\(569\) | 31.9924 | − | 18.4708i | 1.34119 | − | 0.774337i | 0.354208 | − | 0.935167i | \(-0.384750\pi\) |
0.986982 | + | 0.160830i | \(0.0514171\pi\) | |||||||
\(570\) | 2.71858 | − | 3.79344i | 0.113869 | − | 0.158890i | ||||
\(571\) | 4.11160 | + | 7.12150i | 0.172065 | + | 0.298026i | 0.939142 | − | 0.343530i | \(-0.111623\pi\) |
−0.767077 | + | 0.641556i | \(0.778289\pi\) | |||||||
\(572\) | 2.20526 | + | 1.96138i | 0.0922067 | + | 0.0820092i | ||||
\(573\) | 12.4532 | + | 8.92460i | 0.520239 | + | 0.372831i | ||||
\(574\) | 4.77471 | − | 5.20405i | 0.199293 | − | 0.217213i | ||||
\(575\) | 12.8904 | + | 7.44230i | 0.537569 | + | 0.310365i | ||||
\(576\) | 2.83949 | + | 8.36714i | 0.118312 | + | 0.348631i | ||||
\(577\) | 6.19495 | − | 3.57666i | 0.257899 | − | 0.148898i | −0.365477 | − | 0.930821i | \(-0.619094\pi\) |
0.623376 | + | 0.781922i | \(0.285761\pi\) | |||||||
\(578\) | −10.7395 | − | 6.20045i | −0.446704 | − | 0.257905i | ||||
\(579\) | −9.76326 | + | 13.6234i | −0.405747 | + | 0.566170i | ||||
\(580\) | − | 12.5765i | − | 0.522209i | ||||||
\(581\) | −14.5282 | − | 13.3296i | −0.602732 | − | 0.553006i | ||||
\(582\) | 5.02483 | + | 11.0913i | 0.208286 | + | 0.459747i | ||||
\(583\) | 1.71073 | + | 2.96307i | 0.0708512 | + | 0.122718i | ||||
\(584\) | 11.0776 | + | 19.1870i | 0.458395 | + | 0.793963i | ||||
\(585\) | −18.0872 | − | 7.64213i | −0.747814 | − | 0.315963i | ||||
\(586\) | −2.14675 | − | 1.23943i | −0.0886815 | − | 0.0512003i | ||||
\(587\) | 19.5383 | − | 33.8414i | 0.806433 | − | 1.39678i | −0.108886 | − | 0.994054i | \(-0.534728\pi\) |
0.915319 | − | 0.402729i | \(-0.131938\pi\) | |||||||
\(588\) | −14.8596 | + | 8.33877i | −0.612799 | + | 0.343885i | ||||
\(589\) | 3.15156 | + | 5.45867i | 0.129858 | + | 0.224921i | ||||
\(590\) | −9.28191 | − | 5.35891i | −0.382130 | − | 0.220623i | ||||
\(591\) | −11.8357 | + | 5.36210i | −0.486856 | + | 0.220567i | ||||
\(592\) | 0.707295 | − | 1.22507i | 0.0290697 | − | 0.0503501i | ||||
\(593\) | −11.8909 | + | 20.5957i | −0.488302 | + | 0.845763i | −0.999909 | − | 0.0134558i | \(-0.995717\pi\) |
0.511608 | + | 0.859219i | \(0.329050\pi\) | |||||||
\(594\) | −0.529646 | − | 2.27279i | −0.0217316 | − | 0.0932539i | ||||
\(595\) | −0.998910 | + | 4.49229i | −0.0409513 | + | 0.184166i | ||||
\(596\) | 28.0214 | + | 16.1782i | 1.14780 | + | 0.662684i | ||||
\(597\) | −18.7362 | + | 8.48833i | −0.766822 | + | 0.347404i | ||||
\(598\) | −16.1333 | + | 18.1393i | −0.659738 | + | 0.741773i | ||||
\(599\) | 23.4451 | − | 13.5361i | 0.957942 | − | 0.553068i | 0.0624030 | − | 0.998051i | \(-0.480124\pi\) |
0.895539 | + | 0.444983i | \(0.146790\pi\) | |||||||
\(600\) | 0.760288 | − | 7.71607i | 0.0310386 | − | 0.315007i | ||||
\(601\) | 14.6961 | + | 8.48480i | 0.599467 | + | 0.346102i | 0.768832 | − | 0.639451i | \(-0.220838\pi\) |
−0.169365 | + | 0.985553i | \(0.554172\pi\) | |||||||
\(602\) | 0.450042 | + | 1.43052i | 0.0183423 | + | 0.0583035i | ||||
\(603\) | 9.79169 | + | 28.8532i | 0.398749 | + | 1.17499i | ||||
\(604\) | −18.6377 | −0.758356 | ||||||||
\(605\) | 9.67621 | − | 16.7597i | 0.393394 | − | 0.681379i | ||||
\(606\) | 0.557837 | − | 5.66142i | 0.0226606 | − | 0.229980i | ||||
\(607\) | − | 13.4733i | − | 0.546866i | −0.961891 | − | 0.273433i | \(-0.911841\pi\) | ||
0.961891 | − | 0.273433i | \(-0.0881592\pi\) | |||||||
\(608\) | 5.63798 | − | 9.76527i | 0.228650 | − | 0.396034i | ||||
\(609\) | −21.4647 | − | 7.04220i | −0.869795 | − | 0.285364i | ||||
\(610\) | 5.36102 | 0.217061 | ||||||||
\(611\) | −16.7350 | + | 18.8159i | −0.677024 | + | 0.761209i | ||||
\(612\) | −2.66394 | + | 3.03713i | −0.107683 | + | 0.122769i | ||||
\(613\) | −36.1412 | −1.45973 | −0.729864 | − | 0.683592i | \(-0.760417\pi\) | ||||
−0.729864 | + | 0.683592i | \(0.760417\pi\) | |||||||
\(614\) | 0.158524 | + | 0.274571i | 0.00639750 | + | 0.0110808i | ||||
\(615\) | 10.8320 | + | 1.06731i | 0.436787 | + | 0.0430379i | ||||
\(616\) | −2.98164 | − | 2.73566i | −0.120134 | − | 0.110223i | ||||
\(617\) | 7.10815 | − | 4.10389i | 0.286163 | − | 0.165216i | −0.350047 | − | 0.936732i | \(-0.613834\pi\) |
0.636210 | + | 0.771516i | \(0.280501\pi\) | |||||||
\(618\) | 1.33121 | − | 1.85754i | 0.0535491 | − | 0.0747212i | ||||
\(619\) | 10.3240 | − | 5.96058i | 0.414958 | − | 0.239576i | −0.277960 | − | 0.960593i | \(-0.589658\pi\) |
0.692918 | + | 0.721017i | \(0.256325\pi\) | |||||||
\(620\) | −7.23463 | − | 4.17692i | −0.290550 | − | 0.167749i | ||||
\(621\) | −44.1860 | + | 10.2970i | −1.77312 | + | 0.413204i | ||||
\(622\) | 8.51933 | + | 4.91864i | 0.341594 | + | 0.197219i | ||||
\(623\) | −4.05965 | + | 18.2570i | −0.162646 | + | 0.731453i | ||||
\(624\) | −4.68646 | − | 1.45765i | −0.187609 | − | 0.0583526i | ||||
\(625\) | 6.78521 | − | 11.7523i | 0.271408 | − | 0.470093i | ||||
\(626\) | 14.8156 | 0.592150 | ||||||||
\(627\) | −1.13116 | + | 1.57839i | −0.0451741 | + | 0.0630349i | ||||
\(628\) | 26.4227i | 1.05438i | ||||||||
\(629\) | −1.72472 | −0.0687689 | ||||||||
\(630\) | 10.1664 | + | 4.48201i | 0.405037 | + | 0.178568i | ||||
\(631\) | −19.3093 | − | 33.4446i | −0.768690 | − | 1.33141i | −0.938273 | − | 0.345895i | \(-0.887575\pi\) |
0.169583 | − | 0.985516i | \(-0.445758\pi\) | |||||||
\(632\) | −28.9031 | − | 16.6872i | −1.14970 | − | 0.663781i | ||||
\(633\) | −15.6178 | − | 34.4730i | −0.620752 | − | 1.37018i | ||||
\(634\) | −9.61205 | −0.381743 | ||||||||
\(635\) | −6.10538 | − | 10.5748i | −0.242285 | − | 0.419649i | ||||
\(636\) | −11.6230 | − | 8.32967i | −0.460883 | − | 0.330293i | ||||
\(637\) | −2.95464 | + | 25.0653i | −0.117067 | + | 0.993124i | ||||
\(638\) | − | 2.21399i | − | 0.0876529i | ||||||
\(639\) | 25.3406 | + | 22.2268i | 1.00246 | + | 0.879279i | ||||
\(640\) | 17.1447i | 0.677706i | ||||||||
\(641\) | 14.5750 | + | 8.41486i | 0.575676 | + | 0.332367i | 0.759413 | − | 0.650609i | \(-0.225486\pi\) |
−0.183737 | + | 0.982975i | \(0.558819\pi\) | |||||||
\(642\) | −10.1041 | − | 22.3027i | −0.398777 | − | 0.880216i | ||||
\(643\) | −7.41784 | + | 4.28269i | −0.292531 | + | 0.168893i | −0.639083 | − | 0.769138i | \(-0.720686\pi\) |
0.346552 | + | 0.938031i | \(0.387353\pi\) | |||||||
\(644\) | −21.9491 | + | 23.9227i | −0.864915 | + | 0.942686i | ||||
\(645\) | −1.34627 | + | 1.87856i | −0.0530094 | + | 0.0739681i | ||||
\(646\) | −1.42227 | −0.0559584 | ||||||||
\(647\) | 35.6349 | 1.40095 | 0.700476 | − | 0.713676i | \(-0.252971\pi\) | ||||
0.700476 | + | 0.713676i | \(0.252971\pi\) | |||||||
\(648\) | 14.3840 | + | 18.7520i | 0.565057 | + | 0.736648i | ||||
\(649\) | 3.86206 | + | 2.22976i | 0.151599 | + | 0.0875259i | ||||
\(650\) | −3.54149 | − | 3.14982i | −0.138909 | − | 0.123546i | ||||
\(651\) | −11.1800 | + | 10.0088i | −0.438177 | + | 0.392275i | ||||
\(652\) | 3.74981 | − | 6.49486i | 0.146854 | − | 0.254358i | ||||
\(653\) | −2.88292 | + | 1.66445i | −0.112817 | + | 0.0651350i | −0.555347 | − | 0.831619i | \(-0.687414\pi\) |
0.442530 | + | 0.896754i | \(0.354081\pi\) | |||||||
\(654\) | −18.7130 | + | 8.47783i | −0.731737 | + | 0.331509i | ||||
\(655\) | −15.3400 | − | 26.5697i | −0.599384 | − | 1.03816i | ||||
\(656\) | 2.72059 | 0.106221 | ||||||||
\(657\) | 19.0287 | + | 16.6905i | 0.742379 | + | 0.651157i | ||||
\(658\) | 9.63286 | − | 10.4990i | 0.375528 | − | 0.409295i | ||||
\(659\) | 33.3537 | − | 19.2568i | 1.29928 | − | 0.750137i | 0.318997 | − | 0.947756i | \(-0.396654\pi\) |
0.980279 | + | 0.197618i | \(0.0633206\pi\) | |||||||
\(660\) | 0.252367 | − | 2.56124i | 0.00982337 | − | 0.0996963i | ||||
\(661\) | − | 17.3162i | − | 0.673521i | −0.941590 | − | 0.336761i | \(-0.890669\pi\) | ||
0.941590 | − | 0.336761i | \(-0.109331\pi\) | |||||||
\(662\) | −3.73862 | + | 2.15849i | −0.145305 | + | 0.0838921i | ||||
\(663\) | 1.31783 | + | 5.83698i | 0.0511804 | + | 0.226690i | ||||
\(664\) | 19.5690i | 0.759424i | ||||||||
\(665\) | −2.77444 | − | 8.81892i | −0.107588 | − | 0.341983i | ||||
\(666\) | −0.812679 | + | 4.08386i | −0.0314907 | + | 0.158246i | ||||
\(667\) | −43.0429 | −1.66663 | ||||||||
\(668\) | −5.57771 | − | 9.66088i | −0.215808 | − | 0.373791i | ||||
\(669\) | −43.8406 | + | 19.8618i | −1.69498 | + | 0.767900i | ||||
\(670\) | − | 14.2169i | − | 0.549248i | ||||||
\(671\) | −2.23064 | −0.0861129 | ||||||||
\(672\) | 25.5065 | + | 8.36822i | 0.983934 | + | 0.322811i | ||||
\(673\) | 2.57882 | − | 4.46665i | 0.0994064 | − | 0.172177i | −0.812033 | − | 0.583612i | \(-0.801639\pi\) |
0.911439 | + | 0.411435i | \(0.134972\pi\) | |||||||
\(674\) | 1.64575 | − | 0.950171i | 0.0633917 | − | 0.0365992i | ||||
\(675\) | −2.01036 | − | 8.62679i | −0.0773789 | − | 0.332045i | ||||
\(676\) | −14.6485 | + | 10.9186i | −0.563405 | + | 0.419946i | ||||
\(677\) | −5.51366 | + | 9.54995i | −0.211907 | + | 0.367034i | −0.952311 | − | 0.305128i | \(-0.901301\pi\) |
0.740404 | + | 0.672162i | \(0.234634\pi\) | |||||||
\(678\) | 8.56961 | + | 18.9156i | 0.329114 | + | 0.726449i | ||||
\(679\) | 23.5457 | + | 5.23564i | 0.903600 | + | 0.200925i | ||||
\(680\) | 3.95560 | − | 2.28377i | 0.151690 | − | 0.0875785i | ||||
\(681\) | −14.4443 | − | 31.8827i | −0.553506 | − | 1.22175i | ||||
\(682\) | −1.27361 | − | 0.735317i | −0.0487689 | − | 0.0281567i | ||||
\(683\) | 31.4124 | + | 18.1360i | 1.20196 | + | 0.693954i | 0.960991 | − | 0.276578i | \(-0.0892005\pi\) |
0.240972 | + | 0.970532i | \(0.422534\pi\) | |||||||
\(684\) | 1.58397 | − | 7.95972i | 0.0605646 | − | 0.304348i | ||||
\(685\) | 21.7303 | − | 12.5460i | 0.830271 | − | 0.479357i | ||||
\(686\) | 1.89103 | − | 14.1554i | 0.0721999 | − | 0.540456i | ||||
\(687\) | −38.2336 | + | 17.3215i | −1.45870 | + | 0.660857i | ||||
\(688\) | −0.288839 | + | 0.500284i | −0.0110119 | + | 0.0190731i | ||||
\(689\) | −20.1036 | + | 6.66805i | −0.765886 | + | 0.254032i | ||||
\(690\) | 21.0675 | + | 2.07584i | 0.802025 | + | 0.0790259i | ||||
\(691\) | 19.7889 | − | 11.4251i | 0.752804 | − | 0.434632i | −0.0739021 | − | 0.997266i | \(-0.523545\pi\) |
0.826706 | + | 0.562634i | \(0.190212\pi\) | |||||||
\(692\) | 13.1138 | − | 22.7138i | 0.498513 | − | 0.863449i | ||||
\(693\) | −4.23007 | − | 1.86490i | −0.160687 | − | 0.0708416i | ||||
\(694\) | 19.8473 | 0.753394 | ||||||||
\(695\) | 12.7211i | 0.482539i | ||||||||
\(696\) | 9.25254 | + | 20.4230i | 0.350717 | + | 0.774133i | ||||
\(697\) | −1.65852 | − | 2.87263i | −0.0628208 | − | 0.108809i | ||||
\(698\) | 14.6047 | 0.552797 | ||||||||
\(699\) | 3.11471 | − | 1.41110i | 0.117809 | − | 0.0533727i | ||||
\(700\) | −4.67062 | − | 4.28529i | −0.176533 | − | 0.161969i | ||||
\(701\) | − | 27.8049i | − | 1.05018i | −0.851047 | − | 0.525089i | \(-0.824032\pi\) | ||
0.851047 | − | 0.525089i | \(-0.175968\pi\) | |||||||
\(702\) | 14.4420 | − | 0.370059i | 0.545078 | − | 0.0139670i | ||||
\(703\) | 3.00061 | − | 1.73240i | 0.113170 | − | 0.0653389i | ||||
\(704\) | 1.71542i | 0.0646524i | ||||||||
\(705\) | 21.8532 | + | 2.15326i | 0.823039 | + | 0.0810965i | ||||
\(706\) | −19.6702 | + | 11.3566i | −0.740296 | + | 0.427410i | ||||
\(707\) | −8.30374 | − | 7.61868i | −0.312294 | − | 0.286530i | ||||
\(708\) | −18.5482 | − | 1.82761i | −0.697085 | − | 0.0686859i | ||||
\(709\) | 24.8884 | 0.934703 | 0.467351 | − | 0.884072i | \(-0.345208\pi\) | ||||
0.467351 | + | 0.884072i | \(0.345208\pi\) | |||||||
\(710\) | −7.86385 | − | 13.6206i | −0.295125 | − | 0.511171i | ||||
\(711\) | −37.3954 | − | 7.44161i | −1.40244 | − | 0.279082i | ||||
\(712\) | 16.0759 | − | 9.28142i | 0.602469 | − | 0.347836i | ||||
\(713\) | −14.2955 | + | 24.7605i | −0.535370 | + | 0.927289i | ||||
\(714\) | −0.694507 | − | 3.31394i | −0.0259913 | − | 0.124021i | ||||
\(715\) | −2.84846 | − | 2.53344i | −0.106526 | − | 0.0947454i | ||||
\(716\) | 14.5679 | + | 8.41078i | 0.544428 | + | 0.314325i | ||||
\(717\) | 21.4893 | + | 15.4003i | 0.802532 | + | 0.575136i | ||||
\(718\) | −13.5522 | −0.505762 | ||||||||
\(719\) | 11.5068 | 0.429130 | 0.214565 | − | 0.976710i | \(-0.431167\pi\) | ||||
0.214565 | + | 0.976710i | \(0.431167\pi\) | |||||||
\(720\) | 1.37539 | + | 4.05287i | 0.0512579 | + | 0.151042i | ||||
\(721\) | −1.35857 | − | 4.31838i | −0.0505956 | − | 0.160825i | ||||
\(722\) | −10.2138 | + | 5.89694i | −0.380118 | + | 0.219461i | ||||
\(723\) | 12.1934 | − | 5.52415i | 0.453477 | − | 0.205445i | ||||
\(724\) | −31.3309 | − | 18.0889i | −1.16440 | − | 0.672268i | ||||
\(725\) | − | 8.40360i | − | 0.312102i | ||||||
\(726\) | −1.39621 | + | 14.1699i | −0.0518180 | + | 0.525896i | ||||
\(727\) | − | 18.2661i | − | 0.677452i | −0.940885 | − | 0.338726i | \(-0.890004\pi\) | ||
0.940885 | − | 0.338726i | \(-0.109996\pi\) | |||||||
\(728\) | 20.3135 | − | 14.6579i | 0.752869 | − | 0.543256i | ||||
\(729\) | 22.4460 | + | 15.0059i | 0.831332 | + | 0.555776i | ||||
\(730\) | −5.90509 | − | 10.2279i | −0.218557 | − | 0.378552i | ||||
\(731\) | 0.704325 | 0.0260504 | ||||||||
\(732\) | 8.49186 | − | 3.84719i | 0.313868 | − | 0.142196i | ||||
\(733\) | −10.3435 | − | 5.97185i | −0.382048 | − | 0.220575i | 0.296661 | − | 0.954983i | \(-0.404127\pi\) |
−0.678709 | + | 0.734408i | \(0.737460\pi\) | |||||||
\(734\) | 0.288226 | + | 0.499222i | 0.0106386 | + | 0.0184266i | ||||
\(735\) | 19.1936 | − | 10.7709i | 0.707967 | − | 0.397291i | ||||
\(736\) | 51.1477 | 1.88533 | ||||||||
\(737\) | 5.91545i | 0.217898i | ||||||||
\(738\) | −7.58343 | + | 2.57353i | −0.279150 | + | 0.0947330i | ||||
\(739\) | 15.5335 | 0.571411 | 0.285705 | − | 0.958318i | \(-0.407772\pi\) | ||||
0.285705 | + | 0.958318i | \(0.407772\pi\) | |||||||
\(740\) | −2.29604 | + | 3.97685i | −0.0844040 | + | 0.146192i | ||||
\(741\) | −8.15573 | − | 8.83131i | −0.299608 | − | 0.324426i | ||||
\(742\) | 11.4324 | − | 3.59665i | 0.419697 | − | 0.132037i | ||||
\(743\) | −22.7023 | − | 13.1072i | −0.832868 | − | 0.480856i | 0.0219659 | − | 0.999759i | \(-0.493007\pi\) |
−0.854833 | + | 0.518902i | \(0.826341\pi\) | |||||||
\(744\) | 14.8214 | + | 1.46039i | 0.543378 | + | 0.0535406i | ||||
\(745\) | −36.1944 | − | 20.8968i | −1.32606 | − | 0.765600i | ||||
\(746\) | −20.5528 | + | 11.8662i | −0.752492 | + | 0.434451i | ||||
\(747\) | 7.18456 | + | 21.1708i | 0.262869 | + | 0.774598i | ||||
\(748\) | −0.679242 | + | 0.392160i | −0.0248355 | + | 0.0143388i | ||||
\(749\) | −47.3464 | − | 10.5280i | −1.73000 | − | 0.384685i | ||||
\(750\) | −1.59400 | + | 16.1773i | −0.0582045 | + | 0.590711i | ||||
\(751\) | 1.13007 | + | 1.95735i | 0.0412370 | + | 0.0714245i | 0.885907 | − | 0.463862i | \(-0.153537\pi\) |
−0.844670 | + | 0.535287i | \(0.820203\pi\) | |||||||
\(752\) | 5.48872 | 0.200153 | ||||||||
\(753\) | 11.0265 | + | 1.08647i | 0.401827 | + | 0.0395932i | ||||
\(754\) | 13.4234 | + | 2.76767i | 0.488852 | + | 0.100792i | ||||
\(755\) | 24.0736 | 0.876130 | ||||||||
\(756\) | 19.3199 | − | 0.196102i | 0.702658 | − | 0.00713217i | ||||
\(757\) | 17.0033 | − | 29.4506i | 0.617995 | − | 1.07040i | −0.371856 | − | 0.928291i | \(-0.621278\pi\) |
0.989851 | − | 0.142109i | \(-0.0453883\pi\) | |||||||
\(758\) | 6.45267i | 0.234372i | ||||||||
\(759\) | −8.76586 | − | 0.863726i | −0.318180 | − | 0.0313513i | ||||
\(760\) | −4.58790 | + | 7.94647i | −0.166420 | + | 0.288249i | ||||
\(761\) | −37.5013 | −1.35942 | −0.679710 | − | 0.733481i | \(-0.737894\pi\) | ||||
−0.679710 | + | 0.733481i | \(0.737894\pi\) | |||||||
\(762\) | 7.30245 | + | 5.23332i | 0.264540 | + | 0.189583i | ||||
\(763\) | −8.83350 | + | 39.7260i | −0.319794 | + | 1.43818i | ||||
\(764\) | −10.7659 | − | 6.21571i | −0.389497 | − | 0.224876i | ||||
\(765\) | 3.44092 | − | 3.92296i | 0.124407 | − | 0.141835i | ||||
\(766\) | −11.8742 | + | 6.85557i | −0.429032 | + | 0.247702i | ||||
\(767\) | −18.3469 | + | 20.6282i | −0.662468 | + | 0.744842i | ||||
\(768\) | −9.41587 | − | 20.7835i | −0.339766 | − | 0.749962i | ||||
\(769\) | −20.8816 | − | 12.0560i | −0.753009 | − | 0.434750i | 0.0737708 | − | 0.997275i | \(-0.476497\pi\) |
−0.826780 | + | 0.562525i | \(0.809830\pi\) | |||||||
\(770\) | 1.58941 | + | 1.45828i | 0.0572783 | + | 0.0525528i | ||||
\(771\) | 20.5141 | + | 2.02132i | 0.738799 | + | 0.0727960i | ||||
\(772\) | 6.79980 | − | 11.7776i | 0.244730 | − | 0.423885i | ||||
\(773\) | −16.4846 | + | 28.5522i | −0.592911 | + | 1.02695i | 0.400927 | + | 0.916110i | \(0.368688\pi\) |
−0.993838 | + | 0.110842i | \(0.964645\pi\) | |||||||
\(774\) | 0.331875 | − | 1.66773i | 0.0119290 | − | 0.0599453i | ||||
\(775\) | −4.83419 | − | 2.79102i | −0.173649 | − | 0.100256i | ||||
\(776\) | −11.9700 | − | 20.7327i | −0.429699 | − | 0.744260i | ||||
\(777\) | 5.50179 | + | 6.14558i | 0.197376 | + | 0.220472i | ||||
\(778\) | 1.47298 | − | 2.55128i | 0.0528090 | − | 0.0914679i | ||||
\(779\) | 5.77088 | + | 3.33182i | 0.206763 | + | 0.119375i | ||||
\(780\) | 15.2133 | + | 4.73185i | 0.544723 | + | 0.169427i | ||||
\(781\) | 3.27203 | + | 5.66732i | 0.117082 | + | 0.202793i | ||||
\(782\) | −3.22571 | − | 5.58709i | −0.115351 | − | 0.199794i | ||||
\(783\) | 17.5080 | + | 18.6977i | 0.625685 | + | 0.668202i | ||||
\(784\) | 4.51038 | − | 3.14967i | 0.161085 | − | 0.112488i | ||||
\(785\) | − | 34.1292i | − | 1.21813i | ||||||
\(786\) | 18.3477 | + | 13.1489i | 0.654442 | + | 0.469007i | ||||
\(787\) | 28.8197 | + | 16.6390i | 1.02731 | + | 0.593118i | 0.916213 | − | 0.400692i | \(-0.131230\pi\) |
0.111097 | + | 0.993810i | \(0.464564\pi\) | |||||||
\(788\) | 9.13059 | − | 5.27155i | 0.325264 | − | 0.187791i | ||||
\(789\) | 4.58649 | + | 3.28692i | 0.163283 | + | 0.117017i | ||||
\(790\) | 15.4072 | + | 8.89536i | 0.548164 | + | 0.316483i | ||||
\(791\) | 40.1560 | + | 8.92913i | 1.42778 | + | 0.317483i | ||||
\(792\) | 1.47450 | + | 4.34490i | 0.0523939 | + | 0.154389i | ||||
\(793\) | 2.78847 | − | 13.5243i | 0.0990216 | − | 0.480263i | ||||
\(794\) | −0.514196 | − | 0.890614i | −0.0182481 | − | 0.0316067i | ||||
\(795\) | 15.0131 | + | 10.7591i | 0.532459 | + | 0.381588i | ||||
\(796\) | 14.4539 | − | 8.34499i | 0.512307 | − | 0.295780i | ||||
\(797\) | 6.25118 | + | 10.8274i | 0.221428 | + | 0.383525i | 0.955242 | − | 0.295826i | \(-0.0955948\pi\) |
−0.733814 | + | 0.679351i | \(0.762261\pi\) | |||||||
\(798\) | 4.53699 | + | 5.06789i | 0.160608 | + | 0.179401i | ||||
\(799\) | −3.34601 | − | 5.79547i | −0.118373 | − | 0.205029i | ||||
\(800\) | 9.98598i | 0.353058i | ||||||||
\(801\) | 13.9842 | − | 15.9432i | 0.494106 | − | 0.563326i | ||||
\(802\) | 1.56834 | − | 2.71645i | 0.0553800 | − | 0.0959210i | ||||
\(803\) | 2.45702 | + | 4.25568i | 0.0867062 | + | 0.150180i | ||||
\(804\) | −10.2024 | − | 22.5196i | −0.359811 | − | 0.794206i | ||||
\(805\) | 28.3509 | − | 30.9001i | 0.999237 | − | 1.08909i | ||||
\(806\) | 6.05032 | − | 6.80264i | 0.213113 | − | 0.239613i | ||||
\(807\) | 17.7499 | + | 39.1791i | 0.624825 | + | 1.37917i | ||||
\(808\) | 11.1848i | 0.393481i | ||||||||
\(809\) | − | 25.1327i | − | 0.883620i | −0.897109 | − | 0.441810i | \(-0.854337\pi\) | ||
0.897109 | − | 0.441810i | \(-0.145663\pi\) | |||||||
\(810\) | −7.66761 | − | 9.99602i | −0.269412 | − | 0.351225i | ||||
\(811\) | − | 13.9155i | − | 0.488640i | −0.969695 | − | 0.244320i | \(-0.921435\pi\) | ||
0.969695 | − | 0.244320i | \(-0.0785647\pi\) | |||||||
\(812\) | 17.8929 | + | 3.97868i | 0.627918 | + | 0.139624i | ||||
\(813\) | −0.598955 | + | 6.07873i | −0.0210063 | + | 0.213190i | ||||
\(814\) | −0.404201 | + | 0.700097i | −0.0141672 | + | 0.0245384i | ||||
\(815\) | −4.84350 | + | 8.38919i | −0.169660 | + | 0.293860i | ||||
\(816\) | 0.759769 | − | 1.06016i | 0.0265972 | − | 0.0371132i | ||||
\(817\) | −1.22536 | + | 0.707464i | −0.0428701 | + | 0.0247510i | ||||
\(818\) | −23.2339 | −0.812355 | ||||||||
\(819\) | 16.5947 | − | 23.3155i | 0.579867 | − | 0.814711i | ||||
\(820\) | −8.83163 | −0.308414 | ||||||||
\(821\) | −24.6504 | + | 14.2319i | −0.860307 | + | 0.496698i | −0.864115 | − | 0.503294i | \(-0.832121\pi\) |
0.00380835 | + | 0.999993i | \(0.498788\pi\) | |||||||
\(822\) | −10.7540 | + | 15.0059i | −0.375088 | + | 0.523390i | ||||
\(823\) | −12.0844 | + | 20.9307i | −0.421235 | + | 0.729600i | −0.996061 | − | 0.0886760i | \(-0.971736\pi\) |
0.574826 | + | 0.818276i | \(0.305070\pi\) | |||||||
\(824\) | −2.24656 | + | 3.89116i | −0.0782627 | + | 0.135555i | ||||
\(825\) | 0.168632 | − | 1.71143i | 0.00587101 | − | 0.0595842i | ||||
\(826\) | 10.5607 | − | 11.5103i | 0.367454 | − | 0.400495i | ||||
\(827\) | 31.5201i | 1.09606i | 0.836458 | + | 0.548031i | \(0.184623\pi\) | ||||
−0.836458 | + | 0.548031i | \(0.815377\pi\) | |||||||
\(828\) | 34.8606 | − | 11.8304i | 1.21149 | − | 0.411134i | ||||
\(829\) | − | 46.4259i | − | 1.61244i | −0.591618 | − | 0.806218i | \(-0.701511\pi\) | ||
0.591618 | − | 0.806218i | \(-0.298489\pi\) | |||||||
\(830\) | − | 10.4315i | − | 0.362084i | ||||||
\(831\) | −14.0906 | − | 31.1021i | −0.488799 | − | 1.07892i | ||||
\(832\) | −10.4006 | − | 2.14441i | −0.360575 | − | 0.0743441i | ||||
\(833\) | −6.07531 | − | 2.84236i | −0.210497 | − | 0.0984819i | ||||
\(834\) | −3.86241 | − | 8.52544i | −0.133744 | − | 0.295212i | ||||
\(835\) | 7.20454 | + | 12.4786i | 0.249323 | + | 0.431841i | ||||
\(836\) | 0.787817 | − | 1.36454i | 0.0272472 | − | 0.0471936i | ||||
\(837\) | 16.5707 | − | 3.86159i | 0.572768 | − | 0.133476i | ||||
\(838\) | 3.19374i | 0.110326i | ||||||||
\(839\) | −22.5427 | − | 39.0451i | −0.778260 | − | 1.34799i | −0.932944 | − | 0.360022i | \(-0.882769\pi\) |
0.154684 | − | 0.987964i | \(-0.450564\pi\) | |||||||
\(840\) | −20.7559 | − | 6.80963i | −0.716145 | − | 0.234954i | ||||
\(841\) | −2.34935 | − | 4.06919i | −0.0810119 | − | 0.140317i | ||||
\(842\) | −10.3560 | + | 5.97902i | −0.356890 | + | 0.206050i | ||||
\(843\) | −10.2339 | − | 7.33416i | −0.352475 | − | 0.252602i | ||||
\(844\) | 15.3541 | + | 26.5940i | 0.528509 | + | 0.915405i | ||||
\(845\) | 18.9210 | − | 14.1032i | 0.650902 | − | 0.485164i | ||||
\(846\) | −15.2994 | + | 5.19203i | −0.526003 | + | 0.178506i | ||||
\(847\) | 20.7834 | + | 19.0687i | 0.714125 | + | 0.655209i | ||||
\(848\) | 3.99817 | + | 2.30835i | 0.137298 | + | 0.0792690i | ||||
\(849\) | −10.7750 | − | 7.72196i | −0.369799 | − | 0.265017i | ||||
\(850\) | 1.09081 | − | 0.629780i | 0.0374145 | − | 0.0216013i | ||||
\(851\) | 13.6108 | + | 7.85819i | 0.466571 | + | 0.269375i | ||||
\(852\) | −22.2308 | − | 15.9317i | −0.761614 | − | 0.545812i | ||||
\(853\) | − | 7.62259i | − | 0.260992i | −0.991449 | − | 0.130496i | \(-0.958343\pi\) | ||
0.991449 | − | 0.130496i | \(-0.0416571\pi\) | |||||||
\(854\) | −1.69601 | + | 7.62729i | −0.0580363 | + | 0.261000i | ||||
\(855\) | −2.04596 | + | 10.2813i | −0.0699703 | + | 0.351613i | ||||
\(856\) | 24.0697 | + | 41.6900i | 0.822687 | + | 1.42493i | ||||
\(857\) | −1.64822 | − | 2.85479i | −0.0563020 | − | 0.0975179i | 0.836501 | − | 0.547966i | \(-0.184598\pi\) |
−0.892803 | + | 0.450448i | \(0.851264\pi\) | |||||||
\(858\) | 2.67819 | + | 0.833009i | 0.0914320 | + | 0.0284385i | ||||
\(859\) | 41.1259 | + | 23.7441i | 1.40320 | + | 0.810137i | 0.994720 | − | 0.102631i | \(-0.0327260\pi\) |
0.408479 | + | 0.912768i | \(0.366059\pi\) | |||||||
\(860\) | 0.937636 | − | 1.62403i | 0.0319731 | − | 0.0553791i | ||||
\(861\) | −4.94528 | + | 15.0733i | −0.168535 | + | 0.513697i | ||||
\(862\) | 3.07852 | + | 5.33215i | 0.104855 | + | 0.181614i | ||||
\(863\) | −30.1677 | − | 17.4173i | −1.02692 | − | 0.592893i | −0.110820 | − | 0.993840i | \(-0.535348\pi\) |
−0.916101 | + | 0.400947i | \(0.868681\pi\) | |||||||
\(864\) | −20.8047 | − | 22.2185i | −0.707791 | − | 0.755888i | ||||
\(865\) | −16.9387 | + | 29.3387i | −0.575932 | + | 0.997544i | ||||
\(866\) | 12.2112 | − | 21.1504i | 0.414953 | − | 0.718719i | ||||
\(867\) | 27.7204 | + | 2.73137i | 0.941433 | + | 0.0927622i | ||||
\(868\) | 8.23137 | − | 8.97152i | 0.279391 | − | 0.304513i | ||||
\(869\) | −6.41071 | − | 3.70122i | −0.217468 | − | 0.125555i | ||||
\(870\) | −4.93221 | − | 10.8868i | −0.167217 | − | 0.369097i | ||||
\(871\) | −35.8653 | − | 7.39478i | −1.21525 | − | 0.250562i | ||||
\(872\) | 34.9799 | − | 20.1957i | 1.18457 | − | 0.683912i | ||||
\(873\) | −20.5616 | − | 18.0350i | −0.695905 | − | 0.610394i | ||||
\(874\) | 11.2240 | + | 6.48017i | 0.379657 | + | 0.219195i | ||||
\(875\) | 23.7276 | + | 21.7701i | 0.802139 | + | 0.735963i | ||||
\(876\) | −16.6934 | − | 11.9634i | −0.564019 | − | 0.404206i | ||||
\(877\) | −17.4317 | −0.588626 | −0.294313 | − | 0.955709i | \(-0.595091\pi\) | ||||
−0.294313 | + | 0.955709i | \(0.595091\pi\) | |||||||
\(878\) | 11.8821 | − | 20.5805i | 0.401003 | − | 0.694557i | ||||
\(879\) | 5.54112 | + | 0.545983i | 0.186897 | + | 0.0184155i | ||||
\(880\) | 0.830916i | 0.0280102i | ||||||||
\(881\) | −0.908375 | + | 1.57335i | −0.0306039 | + | 0.0530076i | −0.880922 | − | 0.473262i | \(-0.843076\pi\) |
0.850318 | + | 0.526270i | \(0.176410\pi\) | |||||||
\(882\) | −9.59291 | + | 13.0461i | −0.323010 | + | 0.439283i | ||||
\(883\) | −1.08732 | −0.0365914 | −0.0182957 | − | 0.999833i | \(-0.505824\pi\) | ||||
−0.0182957 | + | 0.999833i | \(0.505824\pi\) | |||||||
\(884\) | −1.52856 | − | 4.60846i | −0.0514109 | − | 0.154999i | ||||
\(885\) | 23.9581 | + | 2.36067i | 0.805344 | + | 0.0793529i | ||||
\(886\) | −5.71150 | −0.191882 | ||||||||
\(887\) | −13.2441 | − | 22.9394i | −0.444693 | − | 0.770231i | 0.553338 | − | 0.832957i | \(-0.313354\pi\) |
−0.998031 | + | 0.0627258i | \(0.980021\pi\) | |||||||
\(888\) | 0.802774 | − | 8.14726i | 0.0269393 | − | 0.273404i | ||||
\(889\) | 16.9766 | − | 5.34086i | 0.569378 | − | 0.179127i | ||||
\(890\) | −8.56949 | + | 4.94760i | −0.287250 | + | 0.165844i | ||||
\(891\) | 3.19037 | + | 4.15919i | 0.106882 | + | 0.139338i | ||||
\(892\) | 33.8206 | − | 19.5264i | 1.13240 | − | 0.653791i | ||||
\(893\) | 11.6426 | + | 6.72186i | 0.389605 | + | 0.224938i | ||||
\(894\) | 30.6015 | + | 3.01525i | 1.02347 | + | 0.100845i | ||||
\(895\) | −18.8169 | − | 10.8639i | −0.628978 | − | 0.363141i | ||||
\(896\) | −24.3923 | − | 5.42390i | −0.814891 | − | 0.181200i | ||||
\(897\) | 16.1948 | − | 52.0675i | 0.540727 | − | 1.73848i | ||||
\(898\) | −6.80877 | + | 11.7931i | −0.227211 | + | 0.393542i | ||||
\(899\) | 16.1420 | 0.538366 | ||||||||
\(900\) | 2.30974 | + | 6.80610i | 0.0769912 | + | 0.226870i | ||||
\(901\) | − | 5.62883i | − | 0.187524i | ||||||
\(902\) | −1.55475 | −0.0517674 | ||||||||
\(903\) | −2.24677 | − | 2.50968i | −0.0747679 | − | 0.0835169i | ||||
\(904\) | −20.4143 | − | 35.3586i | −0.678970 | − | 1.17601i | ||||
\(905\) | 40.4690 | + | 23.3648i | 1.34524 | + | 0.776672i | ||||
\(906\) | −16.1337 | + | 7.30928i | −0.536006 | + | 0.242835i | ||||
\(907\) | −4.48526 | −0.148930 | −0.0744652 | − | 0.997224i | \(-0.523725\pi\) | ||||
−0.0744652 | + | 0.997224i | \(0.523725\pi\) | |||||||
\(908\) | 14.2004 | + | 24.5958i | 0.471256 | + | 0.816239i | ||||
\(909\) | 4.10640 | + | 12.1003i | 0.136201 | + | 0.401343i | ||||
\(910\) | −10.8284 | + | 7.81359i | −0.358959 | + | 0.259018i | ||||
\(911\) | 36.1997i | 1.19935i | 0.800244 | + | 0.599674i | \(0.204703\pi\) | ||||
−0.800244 | + | 0.599674i | \(0.795297\pi\) | |||||||
\(912\) | −0.256935 | + | 2.60760i | −0.00850795 | + | 0.0863463i | ||||
\(913\) | 4.34041i | 0.143647i | ||||||||
\(914\) | −1.08937 | − | 0.628950i | −0.0360333 | − | 0.0208038i | ||||
\(915\) | −10.9687 | + | 4.96929i | −0.362612 | + | 0.164280i | ||||
\(916\) | 29.4951 | − | 17.0290i | 0.974546 | − | 0.562654i | ||||
\(917\) | 42.6545 | − | 13.4191i | 1.40858 | − | 0.443139i | ||||
\(918\) | −1.11494 | + | 3.67383i | −0.0367985 | + | 0.121254i | ||||
\(919\) | 39.9076 | 1.31643 | 0.658216 | − | 0.752829i | \(-0.271311\pi\) | ||||
0.658216 | + | 0.752829i | \(0.271311\pi\) | |||||||
\(920\) | −41.6214 | −1.37222 | ||||||||
\(921\) | −0.578848 | − | 0.414832i | −0.0190737 | − | 0.0136692i | ||||
\(922\) | −5.55285 | − | 3.20594i | −0.182873 | − | 0.105582i | ||||
\(923\) | −38.4511 | + | 12.7536i | −1.26563 | + | 0.419791i | ||||
\(924\) | 3.56412 | + | 1.16932i | 0.117251 | + | 0.0384679i | ||||
\(925\) | −1.53422 | + | 2.65734i | −0.0504447 | + | 0.0873728i | ||||
\(926\) | 22.1553 | − | 12.7914i | 0.728069 | − | 0.420351i | ||||
\(927\) | −1.00185 | + | 5.03447i | −0.0329050 | + | 0.165354i | ||||
\(928\) | −14.4386 | − | 25.0084i | −0.473970 | − | 0.820940i | ||||
\(929\) | −21.3869 | −0.701681 | −0.350840 | − | 0.936435i | \(-0.614104\pi\) | ||||
−0.350840 | + | 0.936435i | \(0.614104\pi\) | |||||||
\(930\) | −7.90075 | − | 0.778485i | −0.259076 | − | 0.0255275i | ||||
\(931\) | 13.4247 | − | 1.15733i | 0.439976 | − | 0.0379300i | ||||
\(932\) | −2.40282 | + | 1.38727i | −0.0787071 | + | 0.0454416i | ||||
\(933\) | −21.9898 | − | 2.16672i | −0.719913 | − | 0.0709352i | ||||
\(934\) | − | 20.2649i | − | 0.663087i | ||||||
\(935\) | 0.877353 | − | 0.506540i | 0.0286925 | − | 0.0165656i | ||||
\(936\) | −28.1863 | + | 3.50838i | −0.921297 | + | 0.114675i | ||||
\(937\) | 12.5062i | 0.408561i | 0.978912 | + | 0.204281i | \(0.0654855\pi\) | ||||
−0.978912 | + | 0.204281i | \(0.934515\pi\) | |||||||
\(938\) | 20.2269 | + | 4.49766i | 0.660430 | + | 0.146854i | ||||
\(939\) | −30.3127 | + | 13.7330i | −0.989218 | + | 0.448160i | ||||
\(940\) | −17.8176 | −0.581146 | ||||||||
\(941\) | 17.9896 | + | 31.1589i | 0.586444 | + | 1.01575i | 0.994694 | + | 0.102881i | \(0.0328061\pi\) |
−0.408249 | + | 0.912871i | \(0.633861\pi\) | |||||||
\(942\) | 10.3624 | + | 22.8728i | 0.337625 | + | 0.745235i | ||||
\(943\) | 30.2262i | 0.984302i | ||||||||
\(944\) | 6.01739 | 0.195849 | ||||||||
\(945\) | −24.9549 | + | 0.253299i | −0.811782 | + | 0.00823981i | ||||
\(946\) | 0.165064 | − | 0.285900i | 0.00536670 | − | 0.00929539i | ||||
\(947\) | 25.1180 | − | 14.5019i | 0.816226 | − | 0.471248i | −0.0328873 | − | 0.999459i | \(-0.510470\pi\) |
0.849113 | + | 0.528211i | \(0.177137\pi\) | |||||||
\(948\) | 30.7886 | + | 3.03369i | 0.999966 | + | 0.0985296i | ||||
\(949\) | −28.8736 | + | 9.57691i | −0.937275 | + | 0.310880i | ||||
\(950\) | −1.26517 | + | 2.19135i | −0.0410477 | + | 0.0710967i | ||||
\(951\) | 19.6663 | − | 8.90969i | 0.637722 | − | 0.288916i | ||||
\(952\) | 1.99779 | + | 6.35025i | 0.0647488 | + | 0.205813i | ||||
\(953\) | −13.3272 | + | 7.69445i | −0.431710 | + | 0.249248i | −0.700075 | − | 0.714070i | \(-0.746850\pi\) |
0.268365 | + | 0.963317i | \(0.413517\pi\) | |||||||
\(954\) | −13.3282 | − | 2.65228i | −0.431516 | − | 0.0858707i | ||||
\(955\) | 13.9060 | + | 8.02862i | 0.449987 | + | 0.259800i | ||||
\(956\) | −18.5777 | − | 10.7259i | −0.600847 | − | 0.346899i | ||||
\(957\) | 2.05222 | + | 4.52983i | 0.0663387 | + | 0.146429i | ||||
\(958\) | 22.4453 | − | 12.9588i | 0.725174 | − | 0.418680i | ||||
\(959\) | 10.9750 | + | 34.8854i | 0.354400 | + | 1.12651i | ||||
\(960\) | 3.82152 | + | 8.43519i | 0.123339 | + | 0.272245i | ||||
\(961\) | −10.1389 | + | 17.5611i | −0.327061 | + | 0.566486i | ||||
\(962\) | −3.73939 | − | 3.32584i | −0.120563 | − | 0.107229i | ||||
\(963\) | 41.3460 | + | 36.2655i | 1.33236 | + | 1.16864i | ||||
\(964\) | −9.40653 | + | 5.43086i | −0.302964 | + | 0.174916i | ||||
\(965\) | −8.78307 | + | 15.2127i | −0.282737 | + | 0.489715i | ||||
\(966\) | −9.61825 | + | 29.3166i | −0.309462 | + | 0.943247i | ||||
\(967\) | −30.6508 | −0.985665 | −0.492832 | − | 0.870124i | \(-0.664038\pi\) | ||||
−0.492832 | + | 0.870124i | \(0.664038\pi\) | |||||||
\(968\) | − | 27.9944i | − | 0.899776i | ||||||
\(969\) | 2.90996 | − | 1.31834i | 0.0934815 | − | 0.0423513i | ||||
\(970\) | 6.38080 | + | 11.0519i | 0.204875 | + | 0.354854i | ||||
\(971\) | 4.22601 | 0.135619 | 0.0678095 | − | 0.997698i | \(-0.478399\pi\) | ||||
0.0678095 | + | 0.997698i | \(0.478399\pi\) | |||||||
\(972\) | −19.3189 | − | 10.3313i | −0.619653 | − | 0.331375i | ||||
\(973\) | −18.0987 | − | 4.02444i | −0.580218 | − | 0.129018i | ||||
\(974\) | 9.31998i | 0.298631i | ||||||||
\(975\) | 10.1655 | + | 3.16183i | 0.325558 | + | 0.101260i | ||||
\(976\) | −2.60663 | + | 1.50494i | −0.0834363 | + | 0.0481720i | ||||
\(977\) | 44.4709i | 1.42275i | 0.702813 | + | 0.711375i | \(0.251927\pi\) | ||||
−0.702813 | + | 0.711375i | \(0.748073\pi\) | |||||||
\(978\) | 0.698881 | − | 7.09286i | 0.0223477 | − | 0.226805i | ||||
\(979\) | 3.56563 | − | 2.05862i | 0.113958 | − | 0.0657938i | ||||
\(980\) | −14.6417 | + | 10.2245i | −0.467712 | + | 0.326611i | ||||
\(981\) | 30.4285 | − | 34.6913i | 0.971507 | − | 1.10761i | ||||
\(982\) | 0.804228 | 0.0256639 | ||||||||
\(983\) | 27.3678 | + | 47.4024i | 0.872897 | + | 1.51190i | 0.858986 | + | 0.511999i | \(0.171095\pi\) |
0.0139111 | + | 0.999903i | \(0.495572\pi\) | |||||||
\(984\) | 14.3418 | − | 6.49747i | 0.457199 | − | 0.207132i | ||||
\(985\) | −11.7937 | + | 6.80908i | −0.375778 | + | 0.216955i | ||||
\(986\) | −1.82118 | + | 3.15438i | −0.0579982 | + | 0.100456i | ||||
\(987\) | −9.97698 | + | 30.4100i | −0.317571 | + | 0.967961i | ||||
\(988\) | 7.28834 | + | 6.48230i | 0.231873 | + | 0.206229i | ||||
\(989\) | −5.55825 | − | 3.20906i | −0.176742 | − | 0.102042i | ||||
\(990\) | −0.786002 | − | 2.31611i | −0.0249808 | − | 0.0736109i | ||||
\(991\) | −31.1179 | −0.988492 | −0.494246 | − | 0.869322i | \(-0.664556\pi\) | ||||
−0.494246 | + | 0.869322i | \(0.664556\pi\) | |||||||
\(992\) | −19.1815 | −0.609013 | ||||||||
\(993\) | 5.64844 | − | 7.88171i | 0.179248 | − | 0.250118i | ||||
\(994\) | 21.8662 | − | 6.87913i | 0.693554 | − | 0.218193i | ||||
\(995\) | −18.6697 | + | 10.7789i | −0.591869 | + | 0.341715i | ||||
\(996\) | −7.48591 | − | 16.5236i | −0.237200 | − | 0.523569i | ||||
\(997\) | −44.0829 | − | 25.4513i | −1.39612 | − | 0.806051i | −0.402137 | − | 0.915580i | \(-0.631732\pi\) |
−0.993984 | + | 0.109529i | \(0.965066\pi\) | |||||||
\(998\) | 13.7369i | 0.434835i | ||||||||
\(999\) | −2.12270 | − | 9.10887i | −0.0671594 | − | 0.288192i |
(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 | 273.2.bf.b.152.14 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.152.19 | yes | 64 | |
7.3 | odd | 6 | 273.2.r.b.269.14 | yes | 64 | ||
13.3 | even | 3 | 273.2.r.b.68.14 | ✓ | 64 | ||
21.17 | even | 6 | 273.2.r.b.269.19 | yes | 64 | ||
39.29 | odd | 6 | 273.2.r.b.68.19 | yes | 64 | ||
91.3 | odd | 6 | inner | 273.2.bf.b.185.19 | yes | 64 | |
273.185 | even | 6 | inner | 273.2.bf.b.185.14 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.14 | ✓ | 64 | 13.3 | even | 3 | ||
273.2.r.b.68.19 | yes | 64 | 39.29 | odd | 6 | ||
273.2.r.b.269.14 | yes | 64 | 7.3 | odd | 6 | ||
273.2.r.b.269.19 | yes | 64 | 21.17 | even | 6 | ||
273.2.bf.b.152.14 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bf.b.152.19 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.185.14 | yes | 64 | 273.185 | even | 6 | inner | |
273.2.bf.b.185.19 | yes | 64 | 91.3 | odd | 6 | inner |