Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(81,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.j (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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 81.17 | ||
Character | \(\chi\) | \(=\) | 287.81 |
Dual form | 287.2.j.a.163.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.467463 | + | 0.809670i | 0.330546 | + | 0.572523i | 0.982619 | − | 0.185633i | \(-0.0594336\pi\) |
−0.652073 | + | 0.758157i | \(0.726100\pi\) | |||||||
\(3\) | −0.691950 | − | 0.399498i | −0.399498 | − | 0.230650i | 0.286770 | − | 0.958000i | \(-0.407419\pi\) |
−0.686267 | + | 0.727350i | \(0.740752\pi\) | |||||||
\(4\) | 0.562956 | − | 0.975068i | 0.281478 | − | 0.487534i | ||||
\(5\) | 1.41567 | + | 2.45201i | 0.633107 | + | 1.09657i | 0.986913 | + | 0.161254i | \(0.0515538\pi\) |
−0.353806 | + | 0.935319i | \(0.615113\pi\) | |||||||
\(6\) | − | 0.747002i | − | 0.304962i | ||||||
\(7\) | −0.561364 | − | 2.58551i | −0.212176 | − | 0.977232i | ||||
\(8\) | 2.92250 | 1.03326 | ||||||||
\(9\) | −1.18080 | − | 2.04521i | −0.393601 | − | 0.681737i | ||||
\(10\) | −1.32355 | + | 2.29245i | −0.418542 | + | 0.724936i | ||||
\(11\) | 4.46876 | + | 2.58004i | 1.34738 | + | 0.777911i | 0.987878 | − | 0.155233i | \(-0.0496127\pi\) |
0.359504 | + | 0.933144i | \(0.382946\pi\) | |||||||
\(12\) | −0.779075 | + | 0.449799i | −0.224900 | + | 0.129846i | ||||
\(13\) | 1.56869i | 0.435077i | 0.976052 | + | 0.217539i | \(0.0698028\pi\) | ||||
−0.976052 | + | 0.217539i | \(0.930197\pi\) | |||||||
\(14\) | 1.83099 | − | 1.66315i | 0.489354 | − | 0.444496i | ||||
\(15\) | − | 2.26223i | − | 0.584104i | ||||||
\(16\) | 0.240249 | + | 0.416123i | 0.0600622 | + | 0.104031i | ||||
\(17\) | −2.26946 | − | 1.31027i | −0.550425 | − | 0.317788i | 0.198869 | − | 0.980026i | \(-0.436273\pi\) |
−0.749293 | + | 0.662238i | \(0.769607\pi\) | |||||||
\(18\) | 1.10396 | − | 1.91212i | 0.260207 | − | 0.450692i | ||||
\(19\) | 1.80953 | − | 1.04473i | 0.415135 | − | 0.239678i | −0.277859 | − | 0.960622i | \(-0.589625\pi\) |
0.692994 | + | 0.720944i | \(0.256291\pi\) | |||||||
\(20\) | 3.18784 | 0.712822 | ||||||||
\(21\) | −0.644470 | + | 2.01331i | −0.140635 | + | 0.439340i | ||||
\(22\) | 4.82430i | 1.02854i | ||||||||
\(23\) | 2.54876 | + | 4.41457i | 0.531452 | + | 0.920502i | 0.999326 | + | 0.0367069i | \(0.0116868\pi\) |
−0.467874 | + | 0.883795i | \(0.654980\pi\) | |||||||
\(24\) | −2.02222 | − | 1.16753i | −0.412785 | − | 0.238321i | ||||
\(25\) | −1.50824 | + | 2.61235i | −0.301648 | + | 0.522469i | ||||
\(26\) | −1.27012 | + | 0.733306i | −0.249092 | + | 0.143813i | ||||
\(27\) | 4.28390i | 0.824437i | ||||||||
\(28\) | −2.83707 | − | 0.908161i | −0.536157 | − | 0.171626i | ||||
\(29\) | − | 0.269442i | − | 0.0500340i | −0.999687 | − | 0.0250170i | \(-0.992036\pi\) | ||
0.999687 | − | 0.0250170i | \(-0.00796400\pi\) | |||||||
\(30\) | 1.83166 | − | 1.05751i | 0.334413 | − | 0.193074i | ||||
\(31\) | −1.20558 | + | 2.08812i | −0.216528 | + | 0.375038i | −0.953744 | − | 0.300619i | \(-0.902807\pi\) |
0.737216 | + | 0.675657i | \(0.236140\pi\) | |||||||
\(32\) | 2.69788 | − | 4.67287i | 0.476923 | − | 0.826055i | ||||
\(33\) | −2.06144 | − | 3.57052i | −0.358851 | − | 0.621547i | ||||
\(34\) | − | 2.45002i | − | 0.420174i | ||||||
\(35\) | 5.54500 | − | 5.03670i | 0.937275 | − | 0.851358i | ||||
\(36\) | −2.65896 | −0.443160 | ||||||||
\(37\) | −4.60356 | − | 7.97361i | −0.756821 | − | 1.31085i | −0.944464 | − | 0.328616i | \(-0.893418\pi\) |
0.187642 | − | 0.982237i | \(-0.439915\pi\) | |||||||
\(38\) | 1.69178 | + | 0.976749i | 0.274443 | + | 0.158450i | ||||
\(39\) | 0.626689 | − | 1.08546i | 0.100351 | − | 0.173812i | ||||
\(40\) | 4.13729 | + | 7.16600i | 0.654163 | + | 1.13304i | ||||
\(41\) | −2.37929 | + | 5.94466i | −0.371583 | + | 0.928400i | ||||
\(42\) | −1.93138 | + | 0.419340i | −0.298019 | + | 0.0647056i | ||||
\(43\) | −7.57662 | −1.15542 | −0.577712 | − | 0.816241i | \(-0.696054\pi\) | ||||
−0.577712 | + | 0.816241i | \(0.696054\pi\) | |||||||
\(44\) | 5.03143 | − | 2.90490i | 0.758517 | − | 0.437930i | ||||
\(45\) | 3.34325 | − | 5.79069i | 0.498383 | − | 0.863224i | ||||
\(46\) | −2.38290 | + | 4.12730i | −0.351339 | + | 0.608538i | ||||
\(47\) | −6.88968 | + | 3.97776i | −1.00496 | + | 0.580216i | −0.909713 | − | 0.415237i | \(-0.863698\pi\) |
−0.0952503 | + | 0.995453i | \(0.530365\pi\) | |||||||
\(48\) | − | 0.383915i | − | 0.0554134i | ||||||
\(49\) | −6.36974 | + | 2.90283i | −0.909963 | + | 0.414690i | ||||
\(50\) | −2.82018 | −0.398834 | ||||||||
\(51\) | 1.04690 | + | 1.81329i | 0.146596 | + | 0.253911i | ||||
\(52\) | 1.52958 | + | 0.883105i | 0.212115 | + | 0.122465i | ||||
\(53\) | −9.66900 | − | 5.58240i | −1.32814 | − | 0.766801i | −0.343127 | − | 0.939289i | \(-0.611486\pi\) |
−0.985012 | + | 0.172487i | \(0.944820\pi\) | |||||||
\(54\) | −3.46855 | + | 2.00257i | −0.472009 | + | 0.272515i | ||||
\(55\) | 14.6099i | 1.97000i | ||||||||
\(56\) | −1.64059 | − | 7.55615i | −0.219233 | − | 1.00973i | ||||
\(57\) | −1.66947 | −0.221127 | ||||||||
\(58\) | 0.218159 | − | 0.125954i | 0.0286457 | − | 0.0165386i | ||||
\(59\) | 1.00611 | − | 1.74263i | 0.130984 | − | 0.226871i | −0.793072 | − | 0.609128i | \(-0.791520\pi\) |
0.924056 | + | 0.382257i | \(0.124853\pi\) | |||||||
\(60\) | −2.20583 | − | 1.27353i | −0.284771 | − | 0.164413i | ||||
\(61\) | −2.52766 | − | 4.37803i | −0.323633 | − | 0.560549i | 0.657602 | − | 0.753366i | \(-0.271571\pi\) |
−0.981235 | + | 0.192817i | \(0.938238\pi\) | |||||||
\(62\) | −2.25426 | −0.286291 | ||||||||
\(63\) | −4.62506 | + | 4.20109i | −0.582702 | + | 0.529287i | ||||
\(64\) | 6.00564 | 0.750705 | ||||||||
\(65\) | −3.84645 | + | 2.22075i | −0.477094 | + | 0.275450i | ||||
\(66\) | 1.92729 | − | 3.33817i | 0.237234 | − | 0.410901i | ||||
\(67\) | 7.26159 | + | 4.19248i | 0.887144 | + | 0.512193i | 0.873007 | − | 0.487707i | \(-0.162167\pi\) |
0.0141368 | + | 0.999900i | \(0.495500\pi\) | |||||||
\(68\) | −2.55521 | + | 1.47525i | −0.309865 | + | 0.178901i | ||||
\(69\) | − | 4.07289i | − | 0.490318i | ||||||
\(70\) | 6.67015 | + | 2.13515i | 0.797235 | + | 0.255199i | ||||
\(71\) | − | 8.62936i | − | 1.02412i | −0.858951 | − | 0.512058i | \(-0.828883\pi\) | ||
0.858951 | − | 0.512058i | \(-0.171117\pi\) | |||||||
\(72\) | −3.45090 | − | 5.97713i | −0.406692 | − | 0.704411i | ||||
\(73\) | −0.469846 | + | 0.813797i | −0.0549913 | + | 0.0952477i | −0.892211 | − | 0.451620i | \(-0.850846\pi\) |
0.837219 | + | 0.546867i | \(0.184180\pi\) | |||||||
\(74\) | 4.30400 | − | 7.45474i | 0.500329 | − | 0.866596i | ||||
\(75\) | 2.08725 | − | 1.20508i | 0.241015 | − | 0.139150i | ||||
\(76\) | − | 2.35255i | − | 0.269857i | ||||||
\(77\) | 4.16212 | − | 13.0024i | 0.474318 | − | 1.48176i | ||||
\(78\) | 1.17182 | 0.132682 | ||||||||
\(79\) | −0.429949 | + | 0.248231i | −0.0483730 | + | 0.0279282i | −0.523991 | − | 0.851724i | \(-0.675558\pi\) |
0.475618 | + | 0.879652i | \(0.342224\pi\) | |||||||
\(80\) | −0.680226 | + | 1.17819i | −0.0760516 | + | 0.131725i | ||||
\(81\) | −1.83100 | + | 3.17139i | −0.203445 | + | 0.352377i | ||||
\(82\) | −5.92545 | + | 0.852470i | −0.654356 | + | 0.0941396i | ||||
\(83\) | −5.21421 | −0.572334 | −0.286167 | − | 0.958180i | \(-0.592381\pi\) | ||||
−0.286167 | + | 0.958180i | \(0.592381\pi\) | |||||||
\(84\) | 1.60031 | + | 1.76181i | 0.174608 | + | 0.192229i | ||||
\(85\) | − | 7.41965i | − | 0.804774i | ||||||
\(86\) | −3.54179 | − | 6.13456i | −0.381921 | − | 0.661507i | ||||
\(87\) | −0.107641 | + | 0.186440i | −0.0115404 | + | 0.0199885i | ||||
\(88\) | 13.0599 | + | 7.54016i | 1.39219 | + | 0.803784i | ||||
\(89\) | −7.13866 | + | 4.12151i | −0.756696 | + | 0.436879i | −0.828108 | − | 0.560568i | \(-0.810583\pi\) |
0.0714120 | + | 0.997447i | \(0.477249\pi\) | |||||||
\(90\) | 6.25139 | 0.658955 | ||||||||
\(91\) | 4.05587 | − | 0.880608i | 0.425171 | − | 0.0923128i | ||||
\(92\) | 5.73935 | 0.598368 | ||||||||
\(93\) | 1.66840 | − | 0.963252i | 0.173005 | − | 0.0998846i | ||||
\(94\) | −6.44135 | − | 3.71891i | −0.664374 | − | 0.383577i | ||||
\(95\) | 5.12339 | + | 2.95799i | 0.525649 | + | 0.303484i | ||||
\(96\) | −3.73360 | + | 2.15560i | −0.381059 | + | 0.220005i | ||||
\(97\) | − | 10.0991i | − | 1.02541i | −0.858564 | − | 0.512706i | \(-0.828643\pi\) | ||
0.858564 | − | 0.512706i | \(-0.171357\pi\) | |||||||
\(98\) | −5.32795 | − | 3.80042i | −0.538205 | − | 0.383901i | ||||
\(99\) | − | 12.1861i | − | 1.22475i | ||||||
\(100\) | 1.69814 | + | 2.94127i | 0.169814 | + | 0.294127i | ||||
\(101\) | 9.64523 | + | 5.56868i | 0.959736 | + | 0.554104i | 0.896092 | − | 0.443869i | \(-0.146394\pi\) |
0.0636443 | + | 0.997973i | \(0.479728\pi\) | |||||||
\(102\) | −0.978776 | + | 1.69529i | −0.0969133 | + | 0.167859i | ||||
\(103\) | 7.94399 | + | 13.7594i | 0.782744 | + | 1.35575i | 0.930337 | + | 0.366705i | \(0.119514\pi\) |
−0.147593 | + | 0.989048i | \(0.547153\pi\) | |||||||
\(104\) | 4.58450i | 0.449547i | ||||||||
\(105\) | −5.84901 | + | 1.26993i | −0.570805 | + | 0.123933i | ||||
\(106\) | − | 10.4383i | − | 1.01385i | ||||||
\(107\) | 5.96425 | + | 10.3304i | 0.576586 | + | 0.998676i | 0.995867 | + | 0.0908200i | \(0.0289488\pi\) |
−0.419281 | + | 0.907856i | \(0.637718\pi\) | |||||||
\(108\) | 4.17709 | + | 2.41165i | 0.401941 | + | 0.232061i | ||||
\(109\) | 9.02809 | + | 5.21237i | 0.864734 | + | 0.499254i | 0.865595 | − | 0.500745i | \(-0.166941\pi\) |
−0.000860769 | 1.00000i | \(0.500274\pi\) | ||||||||
\(110\) | −11.8292 | + | 6.82961i | −1.12787 | + | 0.651177i | ||||
\(111\) | 7.35645i | 0.698244i | ||||||||
\(112\) | 0.941024 | − | 0.854763i | 0.0889184 | − | 0.0807675i | ||||
\(113\) | −10.5872 | −0.995960 | −0.497980 | − | 0.867189i | \(-0.665925\pi\) | ||||
−0.497980 | + | 0.867189i | \(0.665925\pi\) | |||||||
\(114\) | −0.780418 | − | 1.35172i | −0.0730928 | − | 0.126600i | ||||
\(115\) | −7.21639 | + | 12.4992i | −0.672932 | + | 1.16555i | ||||
\(116\) | −0.262724 | − | 0.151684i | −0.0243933 | − | 0.0140835i | ||||
\(117\) | 3.20831 | − | 1.85232i | 0.296608 | − | 0.171247i | ||||
\(118\) | 1.88127 | 0.173185 | ||||||||
\(119\) | −2.11373 | + | 6.60325i | −0.193765 | + | 0.605319i | ||||
\(120\) | − | 6.61135i | − | 0.603531i | ||||||
\(121\) | 7.81321 | + | 13.5329i | 0.710292 | + | 1.23026i | ||||
\(122\) | 2.36317 | − | 4.09313i | 0.213952 | − | 0.370575i | ||||
\(123\) | 4.02123 | − | 3.16289i | 0.362582 | − | 0.285188i | ||||
\(124\) | 1.35738 | + | 2.35104i | 0.121896 | + | 0.211130i | ||||
\(125\) | 5.61602 | 0.502313 | ||||||||
\(126\) | −5.56354 | − | 1.78092i | −0.495640 | − | 0.158657i | ||||
\(127\) | −6.60247 | −0.585875 | −0.292937 | − | 0.956132i | \(-0.594633\pi\) | ||||
−0.292937 | + | 0.956132i | \(0.594633\pi\) | |||||||
\(128\) | −2.58835 | − | 4.48315i | −0.228780 | − | 0.396258i | ||||
\(129\) | 5.24264 | + | 3.02684i | 0.461589 | + | 0.266498i | ||||
\(130\) | −3.59615 | − | 2.07624i | −0.315403 | − | 0.182098i | ||||
\(131\) | −1.07657 | − | 1.86467i | −0.0940603 | − | 0.162917i | 0.815156 | − | 0.579242i | \(-0.196651\pi\) |
−0.909216 | + | 0.416325i | \(0.863318\pi\) | |||||||
\(132\) | −4.64200 | −0.404034 | ||||||||
\(133\) | −3.71697 | − | 4.09209i | −0.322303 | − | 0.354829i | ||||
\(134\) | 7.83932i | 0.677214i | ||||||||
\(135\) | −10.5042 | + | 6.06458i | −0.904055 | + | 0.521956i | ||||
\(136\) | −6.63249 | − | 3.82927i | −0.568731 | − | 0.328357i | ||||
\(137\) | 8.65484 | + | 4.99687i | 0.739433 | + | 0.426912i | 0.821863 | − | 0.569685i | \(-0.192935\pi\) |
−0.0824303 | + | 0.996597i | \(0.526268\pi\) | |||||||
\(138\) | 3.29770 | − | 1.90393i | 0.280718 | − | 0.162073i | ||||
\(139\) | 10.4555 | 0.886826 | 0.443413 | − | 0.896317i | \(-0.353768\pi\) | ||||
0.443413 | + | 0.896317i | \(0.353768\pi\) | |||||||
\(140\) | −1.78954 | − | 8.24219i | −0.151244 | − | 0.696592i | ||||
\(141\) | 6.35642 | 0.535307 | ||||||||
\(142\) | 6.98694 | − | 4.03391i | 0.586331 | − | 0.338518i | ||||
\(143\) | −4.04729 | + | 7.01011i | −0.338451 | + | 0.586215i | ||||
\(144\) | 0.567373 | − | 0.982719i | 0.0472811 | − | 0.0818933i | ||||
\(145\) | 0.660674 | − | 0.381440i | 0.0548660 | − | 0.0316769i | ||||
\(146\) | −0.878543 | −0.0727087 | ||||||||
\(147\) | 5.56722 | + | 0.536084i | 0.459176 | + | 0.0442154i | ||||
\(148\) | −10.3664 | −0.852114 | ||||||||
\(149\) | −19.8885 | + | 11.4827i | −1.62933 | + | 0.940696i | −0.645041 | + | 0.764148i | \(0.723160\pi\) |
−0.984292 | + | 0.176547i | \(0.943507\pi\) | |||||||
\(150\) | 1.95143 | + | 1.12666i | 0.159333 | + | 0.0919912i | ||||
\(151\) | 6.18581 | + | 3.57138i | 0.503394 | + | 0.290635i | 0.730114 | − | 0.683325i | \(-0.239467\pi\) |
−0.226720 | + | 0.973960i | \(0.572800\pi\) | |||||||
\(152\) | 5.28835 | − | 3.05323i | 0.428942 | − | 0.247650i | ||||
\(153\) | 6.18870i | 0.500326i | ||||||||
\(154\) | 12.4733 | − | 2.70819i | 1.00512 | − | 0.218232i | ||||
\(155\) | −6.82680 | −0.548342 | ||||||||
\(156\) | −0.705597 | − | 1.22213i | −0.0564930 | − | 0.0978487i | ||||
\(157\) | −19.1087 | − | 11.0324i | −1.52504 | − | 0.880484i | −0.999559 | − | 0.0296795i | \(-0.990551\pi\) |
−0.525483 | − | 0.850804i | \(-0.676115\pi\) | |||||||
\(158\) | −0.401970 | − | 0.232078i | −0.0319790 | − | 0.0184631i | ||||
\(159\) | 4.46031 | + | 7.72548i | 0.353726 | + | 0.612671i | ||||
\(160\) | 15.2772 | 1.20777 | ||||||||
\(161\) | 9.98315 | − | 9.06802i | 0.786782 | − | 0.714660i | ||||
\(162\) | −3.42371 | −0.268992 | ||||||||
\(163\) | 4.02438 | + | 6.97042i | 0.315213 | + | 0.545966i | 0.979483 | − | 0.201528i | \(-0.0645906\pi\) |
−0.664269 | + | 0.747493i | \(0.731257\pi\) | |||||||
\(164\) | 4.45701 | + | 5.66655i | 0.348034 | + | 0.442483i | ||||
\(165\) | 5.83663 | − | 10.1093i | 0.454381 | − | 0.787011i | ||||
\(166\) | −2.43745 | − | 4.22179i | −0.189183 | − | 0.327675i | ||||
\(167\) | − | 23.2127i | − | 1.79625i | −0.439741 | − | 0.898124i | \(-0.644930\pi\) | ||
0.439741 | − | 0.898124i | \(-0.355070\pi\) | |||||||
\(168\) | −1.88346 | + | 5.88389i | −0.145312 | + | 0.453952i | ||||
\(169\) | 10.5392 | 0.810708 | ||||||||
\(170\) | 6.00747 | − | 3.46841i | 0.460752 | − | 0.266015i | ||||
\(171\) | −4.27340 | − | 2.46725i | −0.326795 | − | 0.188675i | ||||
\(172\) | −4.26530 | + | 7.38772i | −0.325226 | + | 0.563308i | ||||
\(173\) | 7.73197 | + | 13.3922i | 0.587850 | + | 1.01819i | 0.994513 | + | 0.104609i | \(0.0333590\pi\) |
−0.406663 | + | 0.913578i | \(0.633308\pi\) | |||||||
\(174\) | −0.201273 | −0.0152585 | ||||||||
\(175\) | 7.60092 | + | 2.43309i | 0.574576 | + | 0.183924i | ||||
\(176\) | 2.47941i | 0.186892i | ||||||||
\(177\) | −1.39235 | + | 0.803873i | −0.104655 | + | 0.0604228i | ||||
\(178\) | −6.67412 | − | 3.85331i | −0.500247 | − | 0.288818i | ||||
\(179\) | 2.02925 | + | 1.17159i | 0.151673 | + | 0.0875685i | 0.573916 | − | 0.818914i | \(-0.305424\pi\) |
−0.422243 | + | 0.906483i | \(0.638757\pi\) | |||||||
\(180\) | −3.76421 | − | 6.51980i | −0.280568 | − | 0.485957i | ||||
\(181\) | − | 12.8743i | − | 0.956938i | −0.878104 | − | 0.478469i | \(-0.841192\pi\) | ||
0.878104 | − | 0.478469i | \(-0.158808\pi\) | |||||||
\(182\) | 2.60897 | + | 2.87227i | 0.193390 | + | 0.212907i | ||||
\(183\) | 4.03917i | 0.298584i | ||||||||
\(184\) | 7.44873 | + | 12.9016i | 0.549128 | + | 0.951117i | ||||
\(185\) | 13.0342 | − | 22.5760i | 0.958297 | − | 1.65982i | ||||
\(186\) | 1.55983 | + | 0.900570i | 0.114372 | + | 0.0660330i | ||||
\(187\) | −6.76111 | − | 11.7106i | −0.494421 | − | 0.856363i | ||||
\(188\) | 8.95722i | 0.653272i | ||||||||
\(189\) | 11.0761 | − | 2.40483i | 0.805665 | − | 0.174925i | ||||
\(190\) | 5.53101i | 0.401262i | ||||||||
\(191\) | 12.8592 | − | 7.42426i | 0.930459 | − | 0.537201i | 0.0435025 | − | 0.999053i | \(-0.486148\pi\) |
0.886957 | + | 0.461852i | \(0.152815\pi\) | |||||||
\(192\) | −4.15561 | − | 2.39924i | −0.299905 | − | 0.173150i | ||||
\(193\) | −0.996679 | − | 0.575433i | −0.0717425 | − | 0.0414206i | 0.463700 | − | 0.885992i | \(-0.346522\pi\) |
−0.535442 | + | 0.844572i | \(0.679855\pi\) | |||||||
\(194\) | 8.17697 | − | 4.72097i | 0.587072 | − | 0.338946i | ||||
\(195\) | 3.54874 | 0.254130 | ||||||||
\(196\) | −0.755428 | + | 7.84510i | −0.0539591 | + | 0.560364i | ||||
\(197\) | 8.28961 | 0.590610 | 0.295305 | − | 0.955403i | \(-0.404579\pi\) | ||||
0.295305 | + | 0.955403i | \(0.404579\pi\) | |||||||
\(198\) | 9.86670 | − | 5.69654i | 0.701196 | − | 0.404836i | ||||
\(199\) | −1.03360 | − | 0.596751i | −0.0732702 | − | 0.0423026i | 0.462917 | − | 0.886401i | \(-0.346803\pi\) |
−0.536188 | + | 0.844099i | \(0.680136\pi\) | |||||||
\(200\) | −4.40782 | + | 7.63458i | −0.311680 | + | 0.539846i | ||||
\(201\) | −3.34977 | − | 5.80197i | −0.236275 | − | 0.409240i | ||||
\(202\) | 10.4126i | 0.732628i | ||||||||
\(203\) | −0.696644 | + | 0.151255i | −0.0488948 | + | 0.0106160i | ||||
\(204\) | 2.35744 | 0.165054 | ||||||||
\(205\) | −17.9447 | + | 2.58163i | −1.25331 | + | 0.180309i | ||||
\(206\) | −7.42705 | + | 12.8640i | −0.517467 | + | 0.896279i | ||||
\(207\) | 6.01916 | − | 10.4255i | 0.418360 | − | 0.724621i | ||||
\(208\) | −0.652770 | + | 0.376877i | −0.0452614 | + | 0.0261317i | ||||
\(209\) | 10.7818 | 0.745793 | ||||||||
\(210\) | −3.76243 | − | 4.14212i | −0.259632 | − | 0.285834i | ||||
\(211\) | 11.5389i | 0.794369i | 0.917739 | + | 0.397184i | \(0.130013\pi\) | ||||
−0.917739 | + | 0.397184i | \(0.869987\pi\) | |||||||
\(212\) | −10.8864 | + | 6.28529i | −0.747684 | + | 0.431676i | ||||
\(213\) | −3.44741 | + | 5.97109i | −0.236213 | + | 0.409132i | ||||
\(214\) | −5.57614 | + | 9.65816i | −0.381177 | + | 0.660218i | ||||
\(215\) | −10.7260 | − | 18.5779i | −0.731506 | − | 1.26701i | ||||
\(216\) | 12.5197i | 0.851857i | ||||||||
\(217\) | 6.07564 | + | 1.94484i | 0.412441 | + | 0.132024i | ||||
\(218\) | 9.74637i | 0.660107i | ||||||||
\(219\) | 0.650220 | − | 0.375405i | 0.0439378 | − | 0.0253675i | ||||
\(220\) | 14.2457 | + | 8.22475i | 0.960444 | + | 0.554512i | ||||
\(221\) | 2.05541 | − | 3.56008i | 0.138262 | − | 0.239477i | ||||
\(222\) | −5.95630 | + | 3.43887i | −0.399761 | + | 0.230802i | ||||
\(223\) | −23.7312 | −1.58916 | −0.794579 | − | 0.607161i | \(-0.792308\pi\) | ||||
−0.794579 | + | 0.607161i | \(0.792308\pi\) | |||||||
\(224\) | −13.5963 | − | 4.35223i | −0.908438 | − | 0.290795i | ||||
\(225\) | 7.12373 | 0.474915 | ||||||||
\(226\) | −4.94913 | − | 8.57214i | −0.329211 | − | 0.570210i | ||||
\(227\) | −16.3187 | − | 9.42159i | −1.08311 | − | 0.625333i | −0.151375 | − | 0.988476i | \(-0.548370\pi\) |
−0.931733 | + | 0.363144i | \(0.881703\pi\) | |||||||
\(228\) | −0.939840 | + | 1.62785i | −0.0622424 | + | 0.107807i | ||||
\(229\) | 24.8440 | − | 14.3437i | 1.64174 | − | 0.947857i | 0.661519 | − | 0.749928i | \(-0.269912\pi\) |
0.980216 | − | 0.197928i | \(-0.0634213\pi\) | |||||||
\(230\) | −13.4936 | −0.889741 | ||||||||
\(231\) | −8.07440 | + | 7.33424i | −0.531256 | + | 0.482557i | ||||
\(232\) | − | 0.787443i | − | 0.0516981i | ||||||
\(233\) | 0.174969 | − | 0.101019i | 0.0114626 | − | 0.00661795i | −0.494258 | − | 0.869315i | \(-0.664560\pi\) |
0.505720 | + | 0.862697i | \(0.331227\pi\) | |||||||
\(234\) | 2.99953 | + | 1.73178i | 0.196086 | + | 0.113210i | ||||
\(235\) | −19.5070 | − | 11.2624i | −1.27250 | − | 0.734677i | ||||
\(236\) | −1.13279 | − | 1.96204i | −0.0737381 | − | 0.127718i | ||||
\(237\) | 0.396671 | 0.0257665 | ||||||||
\(238\) | −6.33455 | + | 1.37535i | −0.410608 | + | 0.0891509i | ||||
\(239\) | − | 29.9628i | − | 1.93813i | −0.246796 | − | 0.969067i | \(-0.579378\pi\) | ||
0.246796 | − | 0.969067i | \(-0.420622\pi\) | |||||||
\(240\) | 0.941365 | − | 0.543497i | 0.0607648 | − | 0.0350826i | ||||
\(241\) | −0.176305 | + | 0.305370i | −0.0113568 | + | 0.0196706i | −0.871648 | − | 0.490132i | \(-0.836948\pi\) |
0.860291 | + | 0.509803i | \(0.170282\pi\) | |||||||
\(242\) | −7.30478 | + | 12.6522i | −0.469569 | + | 0.813317i | ||||
\(243\) | 13.6638 | − | 7.88881i | 0.876534 | − | 0.506067i | ||||
\(244\) | −5.69184 | −0.364382 | ||||||||
\(245\) | −16.1352 | − | 11.5092i | −1.03084 | − | 0.735298i | ||||
\(246\) | 4.44067 | + | 1.77733i | 0.283127 | + | 0.113319i | ||||
\(247\) | 1.63886 | + | 2.83860i | 0.104278 | + | 0.180616i | ||||
\(248\) | −3.52330 | + | 6.10254i | −0.223730 | + | 0.387512i | ||||
\(249\) | 3.60798 | + | 2.08307i | 0.228646 | + | 0.132009i | ||||
\(250\) | 2.62529 | + | 4.54713i | 0.166038 | + | 0.287586i | ||||
\(251\) | 2.20729 | 0.139323 | 0.0696615 | − | 0.997571i | \(-0.477808\pi\) | ||||
0.0696615 | + | 0.997571i | \(0.477808\pi\) | |||||||
\(252\) | 1.49265 | + | 6.87478i | 0.0940279 | + | 0.433070i | ||||
\(253\) | 26.3036i | 1.65369i | ||||||||
\(254\) | −3.08641 | − | 5.34583i | −0.193659 | − | 0.335427i | ||||
\(255\) | −2.96413 | + | 5.13403i | −0.185621 | + | 0.321505i | ||||
\(256\) | 8.42556 | − | 14.5935i | 0.526597 | − | 0.912094i | ||||
\(257\) | 0.628436 | − | 0.362828i | 0.0392007 | − | 0.0226326i | −0.480272 | − | 0.877120i | \(-0.659462\pi\) |
0.519472 | + | 0.854487i | \(0.326129\pi\) | |||||||
\(258\) | 5.65975i | 0.352361i | ||||||||
\(259\) | −18.0316 | + | 16.3787i | −1.12043 | + | 1.01772i | ||||
\(260\) | 5.00074i | 0.310133i | ||||||||
\(261\) | −0.551065 | + | 0.318157i | −0.0341101 | + | 0.0196935i | ||||
\(262\) | 1.00651 | − | 1.74333i | 0.0621826 | − | 0.107703i | ||||
\(263\) | 16.4540 | + | 9.49973i | 1.01460 | + | 0.585778i | 0.912535 | − | 0.409000i | \(-0.134122\pi\) |
0.102063 | + | 0.994778i | \(0.467456\pi\) | |||||||
\(264\) | −6.02455 | − | 10.4348i | −0.370786 | − | 0.642220i | ||||
\(265\) | − | 31.6113i | − | 1.94187i | ||||||
\(266\) | 1.57569 | − | 4.92242i | 0.0966118 | − | 0.301813i | ||||
\(267\) | 6.58613 | 0.403065 | ||||||||
\(268\) | 8.17591 | − | 4.72036i | 0.499423 | − | 0.288342i | ||||
\(269\) | 14.2111 | − | 24.6143i | 0.866464 | − | 1.50076i | 0.000877771 | − | 1.00000i | \(-0.499721\pi\) |
0.865586 | − | 0.500760i | \(-0.166946\pi\) | |||||||
\(270\) | −9.82062 | − | 5.66994i | −0.597664 | − | 0.345062i | ||||
\(271\) | 2.66994 | + | 4.62448i | 0.162187 | + | 0.280917i | 0.935653 | − | 0.352922i | \(-0.114812\pi\) |
−0.773465 | + | 0.633838i | \(0.781478\pi\) | |||||||
\(272\) | − | 1.25917i | − | 0.0763481i | ||||||
\(273\) | −3.15826 | − | 1.01097i | −0.191147 | − | 0.0611870i | ||||
\(274\) | 9.34342i | 0.564457i | ||||||||
\(275\) | −13.4799 | + | 7.78263i | −0.812869 | + | 0.469310i | ||||
\(276\) | −3.97134 | − | 2.29286i | −0.239047 | − | 0.138014i | ||||
\(277\) | 4.55841 | − | 7.89540i | 0.273888 | − | 0.474388i | −0.695966 | − | 0.718075i | \(-0.745023\pi\) |
0.969854 | + | 0.243687i | \(0.0783568\pi\) | |||||||
\(278\) | 4.88757 | + | 8.46553i | 0.293137 | + | 0.507729i | ||||
\(279\) | 5.69421 | 0.340903 | ||||||||
\(280\) | 16.2052 | − | 14.7198i | 0.968449 | − | 0.879673i | ||||
\(281\) | 12.6932i | 0.757213i | 0.925558 | + | 0.378607i | \(0.123597\pi\) | ||||
−0.925558 | + | 0.378607i | \(0.876403\pi\) | |||||||
\(282\) | 2.97139 | + | 5.14661i | 0.176944 | + | 0.306476i | ||||
\(283\) | −1.41791 | + | 2.45589i | −0.0842861 | + | 0.145988i | −0.905087 | − | 0.425227i | \(-0.860194\pi\) |
0.820801 | + | 0.571215i | \(0.193528\pi\) | |||||||
\(284\) | −8.41422 | − | 4.85795i | −0.499292 | − | 0.288266i | ||||
\(285\) | −2.36342 | − | 4.09357i | −0.139997 | − | 0.242482i | ||||
\(286\) | −7.56784 | −0.447496 | ||||||||
\(287\) | 16.7056 | + | 2.81456i | 0.986102 | + | 0.166138i | ||||
\(288\) | −12.7427 | −0.750870 | ||||||||
\(289\) | −5.06637 | − | 8.77521i | −0.298022 | − | 0.516189i | ||||
\(290\) | 0.617681 | + | 0.356619i | 0.0362715 | + | 0.0209414i | ||||
\(291\) | −4.03458 | + | 6.98810i | −0.236511 | + | 0.409649i | ||||
\(292\) | 0.529005 | + | 0.916264i | 0.0309577 | + | 0.0536203i | ||||
\(293\) | − | 15.0226i | − | 0.877632i | −0.898577 | − | 0.438816i | \(-0.855398\pi\) | ||
0.898577 | − | 0.438816i | \(-0.144602\pi\) | |||||||
\(294\) | 2.16842 | + | 4.75821i | 0.126465 | + | 0.277504i | ||||
\(295\) | 5.69725 | 0.331707 | ||||||||
\(296\) | −13.4539 | − | 23.3029i | −0.781993 | − | 1.35445i | ||||
\(297\) | −11.0526 | + | 19.1437i | −0.641338 | + | 1.11083i | ||||
\(298\) | −18.5943 | − | 10.7354i | −1.07714 | − | 0.621887i | ||||
\(299\) | −6.92511 | + | 3.99821i | −0.400489 | + | 0.231223i | ||||
\(300\) | − | 2.71362i | − | 0.156671i | ||||||
\(301\) | 4.25324 | + | 19.5894i | 0.245153 | + | 1.12912i | ||||
\(302\) | 6.67795i | 0.384273i | ||||||||
\(303\) | −4.44935 | − | 7.70649i | −0.255608 | − | 0.442726i | ||||
\(304\) | 0.869475 | + | 0.501992i | 0.0498678 | + | 0.0287912i | ||||
\(305\) | 7.15665 | − | 12.3957i | 0.409788 | − | 0.709774i | ||||
\(306\) | −5.01080 | + | 2.89299i | −0.286449 | + | 0.165381i | ||||
\(307\) | −31.7863 | −1.81414 | −0.907069 | − | 0.420981i | \(-0.861686\pi\) | ||||
−0.907069 | + | 0.420981i | \(0.861686\pi\) | |||||||
\(308\) | −10.3351 | − | 11.3781i | −0.588898 | − | 0.648328i | ||||
\(309\) | − | 12.6944i | − | 0.722160i | ||||||
\(310\) | −3.19128 | − | 5.52746i | −0.181253 | − | 0.313939i | ||||
\(311\) | 14.6550 | + | 8.46104i | 0.831006 | + | 0.479782i | 0.854197 | − | 0.519949i | \(-0.174049\pi\) |
−0.0231909 | + | 0.999731i | \(0.507383\pi\) | |||||||
\(312\) | 1.83150 | − | 3.17225i | 0.103688 | − | 0.179593i | ||||
\(313\) | −27.6354 | + | 15.9553i | −1.56204 | + | 0.901846i | −0.564994 | + | 0.825095i | \(0.691121\pi\) |
−0.997050 | + | 0.0767511i | \(0.975545\pi\) | |||||||
\(314\) | − | 20.6290i | − | 1.16416i | ||||||
\(315\) | −16.8487 | − | 5.39334i | −0.949315 | − | 0.303880i | ||||
\(316\) | 0.558972i | 0.0314446i | ||||||||
\(317\) | −24.1827 | + | 13.9619i | −1.35824 | + | 0.784179i | −0.989386 | − | 0.145309i | \(-0.953582\pi\) |
−0.368852 | + | 0.929488i | \(0.620249\pi\) | |||||||
\(318\) | −4.17006 | + | 7.22276i | −0.233846 | + | 0.405032i | ||||
\(319\) | 0.695170 | − | 1.20407i | 0.0389220 | − | 0.0674149i | ||||
\(320\) | 8.50200 | + | 14.7259i | 0.475276 | + | 0.823203i | ||||
\(321\) | − | 9.53082i | − | 0.531959i | ||||||
\(322\) | 12.0089 | + | 3.84409i | 0.669228 | + | 0.214223i | ||||
\(323\) | −5.47554 | −0.304667 | ||||||||
\(324\) | 2.06155 | + | 3.57071i | 0.114530 | + | 0.198373i | ||||
\(325\) | −4.09797 | − | 2.36596i | −0.227314 | − | 0.131240i | ||||
\(326\) | −3.76250 | + | 6.51684i | −0.208385 | + | 0.360934i | ||||
\(327\) | −4.16466 | − | 7.21340i | −0.230306 | − | 0.398902i | ||||
\(328\) | −6.95347 | + | 17.3733i | −0.383941 | + | 0.959278i | ||||
\(329\) | 14.1522 | + | 15.5804i | 0.780234 | + | 0.858974i | ||||
\(330\) | 10.9136 | 0.600776 | ||||||||
\(331\) | 9.49493 | − | 5.48190i | 0.521889 | − | 0.301313i | −0.215818 | − | 0.976434i | \(-0.569242\pi\) |
0.737707 | + | 0.675121i | \(0.235909\pi\) | |||||||
\(332\) | −2.93537 | + | 5.08421i | −0.161100 | + | 0.279033i | ||||
\(333\) | −10.8718 | + | 18.8305i | −0.595771 | + | 1.03191i | ||||
\(334\) | 18.7946 | − | 10.8511i | 1.02839 | − | 0.593744i | ||||
\(335\) | 23.7407i | 1.29709i | ||||||||
\(336\) | −0.992618 | + | 0.215516i | −0.0541517 | + | 0.0117574i | ||||
\(337\) | −0.458974 | −0.0250019 | −0.0125009 | − | 0.999922i | \(-0.503979\pi\) | ||||
−0.0125009 | + | 0.999922i | \(0.503979\pi\) | |||||||
\(338\) | 4.92669 | + | 8.53328i | 0.267977 | + | 0.464149i | ||||
\(339\) | 7.32581 | + | 4.22956i | 0.397884 | + | 0.229718i | ||||
\(340\) | −7.23467 | − | 4.17694i | −0.392355 | − | 0.226526i | ||||
\(341\) | −10.7749 | + | 6.22088i | −0.583493 | + | 0.336880i | ||||
\(342\) | − | 4.61339i | − | 0.249464i | ||||||
\(343\) | 11.0810 | + | 14.8395i | 0.598320 | + | 0.801257i | ||||
\(344\) | −22.1427 | −1.19385 | ||||||||
\(345\) | 9.98676 | − | 5.76586i | 0.537669 | − | 0.310423i | ||||
\(346\) | −7.22882 | + | 12.5207i | −0.388624 | + | 0.673116i | ||||
\(347\) | 14.1979 | + | 8.19716i | 0.762183 | + | 0.440047i | 0.830079 | − | 0.557646i | \(-0.188295\pi\) |
−0.0678959 | + | 0.997692i | \(0.521629\pi\) | |||||||
\(348\) | 0.121195 | + | 0.209915i | 0.00649671 | + | 0.0112526i | ||||
\(349\) | −31.0306 | −1.66103 | −0.830514 | − | 0.556997i | \(-0.811953\pi\) | ||||
−0.830514 | + | 0.556997i | \(0.811953\pi\) | |||||||
\(350\) | 1.58315 | + | 7.29162i | 0.0846230 | + | 0.389754i | ||||
\(351\) | −6.72012 | −0.358693 | ||||||||
\(352\) | 24.1124 | − | 13.9213i | 1.28519 | − | 0.742007i | ||||
\(353\) | 4.70228 | − | 8.14459i | 0.250277 | − | 0.433493i | −0.713325 | − | 0.700833i | \(-0.752812\pi\) |
0.963602 | + | 0.267341i | \(0.0861449\pi\) | |||||||
\(354\) | −1.30174 | − | 0.751563i | −0.0691870 | − | 0.0399451i | ||||
\(355\) | 21.1593 | − | 12.2163i | 1.12302 | − | 0.648375i | ||||
\(356\) | 9.28091i | 0.491887i | ||||||||
\(357\) | 4.10058 | − | 3.72469i | 0.217026 | − | 0.197132i | ||||
\(358\) | 2.19070i | 0.115782i | ||||||||
\(359\) | 13.9731 | + | 24.2020i | 0.737470 | + | 1.27733i | 0.953631 | + | 0.300977i | \(0.0973129\pi\) |
−0.216162 | + | 0.976358i | \(0.569354\pi\) | |||||||
\(360\) | 9.77065 | − | 16.9233i | 0.514959 | − | 0.891935i | ||||
\(361\) | −7.31707 | + | 12.6735i | −0.385109 | + | 0.667028i | ||||
\(362\) | 10.4239 | − | 6.01826i | 0.547869 | − | 0.316312i | ||||
\(363\) | − | 12.4854i | − | 0.655315i | ||||||
\(364\) | 1.42463 | − | 4.45050i | 0.0746706 | − | 0.233269i | ||||
\(365\) | −2.66059 | −0.139261 | ||||||||
\(366\) | −3.27040 | + | 1.88816i | −0.170946 | + | 0.0986959i | ||||
\(367\) | 15.1592 | − | 26.2565i | 0.791304 | − | 1.37058i | −0.133855 | − | 0.991001i | \(-0.542736\pi\) |
0.925160 | − | 0.379578i | \(-0.123931\pi\) | |||||||
\(368\) | −1.22467 | + | 2.12119i | −0.0638404 | + | 0.110575i | ||||
\(369\) | 14.9676 | − | 2.15332i | 0.779180 | − | 0.112097i | ||||
\(370\) | 24.3721 | 1.26705 | ||||||||
\(371\) | −9.00553 | + | 28.1331i | −0.467544 | + | 1.46060i | ||||
\(372\) | − | 2.16907i | − | 0.112461i | ||||||
\(373\) | −4.92455 | − | 8.52957i | −0.254983 | − | 0.441644i | 0.709908 | − | 0.704295i | \(-0.248737\pi\) |
−0.964891 | + | 0.262651i | \(0.915403\pi\) | |||||||
\(374\) | 6.32114 | − | 10.9485i | 0.326858 | − | 0.566135i | ||||
\(375\) | −3.88601 | − | 2.24359i | −0.200673 | − | 0.115858i | ||||
\(376\) | −20.1351 | + | 11.6250i | −1.03839 | + | 0.599513i | ||||
\(377\) | 0.422671 | 0.0217687 | ||||||||
\(378\) | 7.12477 | + | 7.84379i | 0.366459 | + | 0.403441i | ||||
\(379\) | 27.7924 | 1.42760 | 0.713800 | − | 0.700350i | \(-0.246973\pi\) | ||||
0.713800 | + | 0.700350i | \(0.246973\pi\) | |||||||
\(380\) | 5.76849 | − | 3.33044i | 0.295917 | − | 0.170848i | ||||
\(381\) | 4.56858 | + | 2.63767i | 0.234056 | + | 0.135132i | ||||
\(382\) | 12.0224 | + | 6.94114i | 0.615120 | + | 0.355140i | ||||
\(383\) | 10.6665 | − | 6.15833i | 0.545035 | − | 0.314676i | −0.202082 | − | 0.979369i | \(-0.564771\pi\) |
0.747117 | + | 0.664692i | \(0.231437\pi\) | |||||||
\(384\) | 4.13616i | 0.211072i | ||||||||
\(385\) | 37.7741 | − | 8.20149i | 1.92515 | − | 0.417987i | ||||
\(386\) | − | 1.07598i | − | 0.0547657i | ||||||
\(387\) | 8.94649 | + | 15.4958i | 0.454776 | + | 0.787695i | ||||
\(388\) | −9.84734 | − | 5.68537i | −0.499923 | − | 0.288631i | ||||
\(389\) | 9.62350 | − | 16.6684i | 0.487931 | − | 0.845121i | −0.511973 | − | 0.859002i | \(-0.671085\pi\) |
0.999904 | + | 0.0138808i | \(0.00441852\pi\) | |||||||
\(390\) | 1.65890 | + | 2.87331i | 0.0840019 | + | 0.145496i | ||||
\(391\) | − | 13.3583i | − | 0.675556i | ||||||
\(392\) | −18.6156 | + | 8.48351i | −0.940228 | + | 0.428482i | ||||
\(393\) | 1.72035i | 0.0867800i | ||||||||
\(394\) | 3.87509 | + | 6.71185i | 0.195224 | + | 0.338138i | ||||
\(395\) | −1.21733 | − | 0.702826i | −0.0612505 | − | 0.0353630i | ||||
\(396\) | −11.8823 | − | 6.86023i | −0.597106 | − | 0.344739i | ||||
\(397\) | −16.7407 | + | 9.66523i | −0.840190 | + | 0.485084i | −0.857329 | − | 0.514769i | \(-0.827878\pi\) |
0.0171389 | + | 0.999853i | \(0.494544\pi\) | |||||||
\(398\) | − | 1.11584i | − | 0.0559319i | ||||||
\(399\) | 0.937183 | + | 4.31644i | 0.0469178 | + | 0.216092i | ||||
\(400\) | −1.44941 | −0.0724705 | ||||||||
\(401\) | 1.01532 | + | 1.75858i | 0.0507024 | + | 0.0878192i | 0.890263 | − | 0.455447i | \(-0.150521\pi\) |
−0.839560 | + | 0.543267i | \(0.817187\pi\) | |||||||
\(402\) | 3.13179 | − | 5.42442i | 0.156200 | − | 0.270545i | ||||
\(403\) | −3.27563 | − | 1.89118i | −0.163171 | − | 0.0942065i | ||||
\(404\) | 10.8597 | − | 6.26984i | 0.540289 | − | 0.311936i | ||||
\(405\) | −10.3684 | −0.515209 | ||||||||
\(406\) | −0.448122 | − | 0.493346i | −0.0222399 | − | 0.0244844i | ||||
\(407\) | − | 47.5095i | − | 2.35496i | ||||||
\(408\) | 3.05957 | + | 5.29933i | 0.151471 | + | 0.262356i | ||||
\(409\) | 0.428284 | − | 0.741810i | 0.0211773 | − | 0.0366802i | −0.855243 | − | 0.518228i | \(-0.826592\pi\) |
0.876420 | + | 0.481548i | \(0.159925\pi\) | |||||||
\(410\) | −10.4787 | − | 13.3224i | −0.517508 | − | 0.657948i | ||||
\(411\) | −3.99248 | − | 6.91518i | −0.196934 | − | 0.341100i | ||||
\(412\) | 17.8885 | 0.881301 | ||||||||
\(413\) | −5.07037 | − | 1.62305i | −0.249497 | − | 0.0798650i | ||||
\(414\) | 11.2549 | 0.553150 | ||||||||
\(415\) | −7.38160 | − | 12.7853i | −0.362349 | − | 0.627606i | ||||
\(416\) | 7.33030 | + | 4.23215i | 0.359397 | + | 0.207498i | ||||
\(417\) | −7.23470 | − | 4.17696i | −0.354285 | − | 0.204546i | ||||
\(418\) | 5.04010 | + | 8.72971i | 0.246519 | + | 0.426984i | ||||
\(419\) | 39.0433 | 1.90739 | 0.953694 | − | 0.300777i | \(-0.0972461\pi\) | ||||
0.953694 | + | 0.300777i | \(0.0972461\pi\) | |||||||
\(420\) | −2.05446 | + | 6.41810i | −0.100248 | + | 0.313171i | ||||
\(421\) | 3.00608i | 0.146508i | 0.997313 | + | 0.0732538i | \(0.0233383\pi\) | ||||
−0.997313 | + | 0.0732538i | \(0.976662\pi\) | |||||||
\(422\) | −9.34268 | + | 5.39400i | −0.454795 | + | 0.262576i | ||||
\(423\) | 16.2707 | + | 9.39390i | 0.791109 | + | 0.456747i | ||||
\(424\) | −28.2576 | − | 16.3146i | −1.37231 | − | 0.792305i | ||||
\(425\) | 6.84577 | − | 3.95241i | 0.332069 | − | 0.191720i | ||||
\(426\) | −6.44615 | −0.312317 | ||||||||
\(427\) | −9.90051 | + | 8.99295i | −0.479119 | + | 0.435199i | ||||
\(428\) | 13.4304 | 0.649185 | ||||||||
\(429\) | 5.60104 | − | 3.23376i | 0.270421 | − | 0.156128i | ||||
\(430\) | 10.0280 | − | 17.3690i | 0.483593 | − | 0.837608i | ||||
\(431\) | −6.60964 | + | 11.4482i | −0.318375 | + | 0.551442i | −0.980149 | − | 0.198262i | \(-0.936470\pi\) |
0.661774 | + | 0.749703i | \(0.269804\pi\) | |||||||
\(432\) | −1.78263 | + | 1.02920i | −0.0857668 | + | 0.0495175i | ||||
\(433\) | 31.4496 | 1.51137 | 0.755687 | − | 0.654933i | \(-0.227303\pi\) | ||||
0.755687 | + | 0.654933i | \(0.227303\pi\) | |||||||
\(434\) | 1.26546 | + | 5.82841i | 0.0607440 | + | 0.279772i | ||||
\(435\) | −0.609538 | −0.0292251 | ||||||||
\(436\) | 10.1648 | − | 5.86867i | 0.486807 | − | 0.281058i | ||||
\(437\) | 9.22410 | + | 5.32554i | 0.441249 | + | 0.254755i | ||||
\(438\) | 0.607908 | + | 0.350976i | 0.0290470 | + | 0.0167703i | ||||
\(439\) | −9.79931 | + | 5.65763i | −0.467695 | + | 0.270024i | −0.715275 | − | 0.698844i | \(-0.753698\pi\) |
0.247579 | + | 0.968868i | \(0.420365\pi\) | |||||||
\(440\) | 42.6975i | 2.03552i | ||||||||
\(441\) | 13.4583 | + | 9.59980i | 0.640872 | + | 0.457133i | ||||
\(442\) | 3.84332 | 0.182808 | ||||||||
\(443\) | −11.4562 | − | 19.8427i | −0.544299 | − | 0.942754i | −0.998651 | − | 0.0519315i | \(-0.983462\pi\) |
0.454351 | − | 0.890823i | \(-0.349871\pi\) | |||||||
\(444\) | 7.17304 | + | 4.14136i | 0.340418 | + | 0.196540i | ||||
\(445\) | −20.2120 | − | 11.6694i | −0.958139 | − | 0.553182i | ||||
\(446\) | −11.0935 | − | 19.2144i | −0.525290 | − | 0.909830i | ||||
\(447\) | 18.3492 | 0.867886 | ||||||||
\(448\) | −3.37135 | − | 15.5277i | −0.159281 | − | 0.733613i | ||||
\(449\) | −33.6809 | −1.58950 | −0.794750 | − | 0.606938i | \(-0.792398\pi\) | ||||
−0.794750 | + | 0.606938i | \(0.792398\pi\) | |||||||
\(450\) | 3.33008 | + | 5.76787i | 0.156982 | + | 0.271900i | ||||
\(451\) | −25.9699 | + | 20.4266i | −1.22288 | + | 0.961851i | ||||
\(452\) | −5.96013 | + | 10.3232i | −0.280341 | + | 0.485565i | ||||
\(453\) | −2.85351 | − | 4.94243i | −0.134070 | − | 0.232216i | ||||
\(454\) | − | 17.6170i | − | 0.826806i | ||||||
\(455\) | 7.90104 | + | 8.69840i | 0.370406 | + | 0.407787i | ||||
\(456\) | −4.87903 | −0.228482 | ||||||||
\(457\) | 7.87162 | − | 4.54468i | 0.368219 | − | 0.212591i | −0.304461 | − | 0.952525i | \(-0.598476\pi\) |
0.672680 | + | 0.739933i | \(0.265143\pi\) | |||||||
\(458\) | 23.2273 | + | 13.4103i | 1.08534 | + | 0.626621i | ||||
\(459\) | 5.61307 | − | 9.72213i | 0.261996 | − | 0.453790i | ||||
\(460\) | 8.12502 | + | 14.0729i | 0.378831 | + | 0.656154i | ||||
\(461\) | −15.0466 | −0.700789 | −0.350394 | − | 0.936602i | \(-0.613952\pi\) | ||||
−0.350394 | + | 0.936602i | \(0.613952\pi\) | |||||||
\(462\) | −9.71280 | − | 3.10911i | −0.451880 | − | 0.144649i | ||||
\(463\) | 20.3416i | 0.945356i | 0.881235 | + | 0.472678i | \(0.156713\pi\) | ||||
−0.881235 | + | 0.472678i | \(0.843287\pi\) | |||||||
\(464\) | 0.112121 | − | 0.0647330i | 0.00520508 | − | 0.00300516i | ||||
\(465\) | 4.72381 | + | 2.72729i | 0.219061 | + | 0.126475i | ||||
\(466\) | 0.163584 | + | 0.0944450i | 0.00757786 | + | 0.00437508i | ||||
\(467\) | 19.3713 | + | 33.5520i | 0.896395 | + | 1.55260i | 0.832069 | + | 0.554673i | \(0.187156\pi\) |
0.0643262 | + | 0.997929i | \(0.479510\pi\) | |||||||
\(468\) | − | 4.17109i | − | 0.192809i | ||||||
\(469\) | 6.76331 | − | 21.1284i | 0.312301 | − | 0.975620i | ||||
\(470\) | − | 21.0590i | − | 0.971380i | ||||||
\(471\) | 8.81486 | + | 15.2678i | 0.406167 | + | 0.703502i | ||||
\(472\) | 2.94034 | − | 5.09282i | 0.135340 | − | 0.234416i | ||||
\(473\) | −33.8581 | − | 19.5480i | −1.55680 | − | 0.898817i | ||||
\(474\) | 0.185429 | + | 0.321172i | 0.00851703 | + | 0.0147519i | ||||
\(475\) | 6.30283i | 0.289193i | ||||||||
\(476\) | 5.24868 | + | 5.77837i | 0.240573 | + | 0.264851i | ||||
\(477\) | 26.3669i | 1.20726i | ||||||||
\(478\) | 24.2600 | − | 14.0065i | 1.10963 | − | 0.640644i | ||||
\(479\) | 10.7050 | + | 6.18054i | 0.489125 | + | 0.282396i | 0.724211 | − | 0.689578i | \(-0.242204\pi\) |
−0.235087 | + | 0.971974i | \(0.575537\pi\) | |||||||
\(480\) | −10.5711 | − | 6.10322i | −0.482502 | − | 0.278573i | ||||
\(481\) | 12.5081 | − | 7.22158i | 0.570322 | − | 0.329276i | ||||
\(482\) | −0.329665 | −0.0150158 | ||||||||
\(483\) | −10.5305 | + | 2.28637i | −0.479154 | + | 0.104034i | ||||
\(484\) | 17.5940 | 0.799726 | ||||||||
\(485\) | 24.7632 | − | 14.2970i | 1.12444 | − | 0.649195i | ||||
\(486\) | 12.7747 | + | 7.37546i | 0.579471 | + | 0.334558i | ||||
\(487\) | 5.91089 | − | 10.2380i | 0.267848 | − | 0.463926i | −0.700458 | − | 0.713694i | \(-0.747021\pi\) |
0.968306 | + | 0.249768i | \(0.0803542\pi\) | |||||||
\(488\) | −7.38707 | − | 12.7948i | −0.334397 | − | 0.579192i | ||||
\(489\) | − | 6.43092i | − | 0.290816i | ||||||
\(490\) | 1.77606 | − | 18.4443i | 0.0802342 | − | 0.833230i | ||||
\(491\) | 28.6656 | 1.29366 | 0.646830 | − | 0.762634i | \(-0.276094\pi\) | ||||
0.646830 | + | 0.762634i | \(0.276094\pi\) | |||||||
\(492\) | −0.820258 | − | 5.70154i | −0.0369801 | − | 0.257045i | ||||
\(493\) | −0.353042 | + | 0.611486i | −0.0159002 | + | 0.0275400i | ||||
\(494\) | −1.53222 | + | 2.65388i | −0.0689378 | + | 0.119404i | ||||
\(495\) | 29.8804 | − | 17.2515i | 1.34302 | − | 0.775395i | ||||
\(496\) | −1.15856 | −0.0520207 | ||||||||
\(497\) | −22.3113 | + | 4.84421i | −1.00080 | + | 0.217293i | ||||
\(498\) | 3.89503i | 0.174540i | ||||||||
\(499\) | −2.05611 | + | 1.18710i | −0.0920442 | + | 0.0531417i | −0.545316 | − | 0.838231i | \(-0.683590\pi\) |
0.453271 | + | 0.891373i | \(0.350257\pi\) | |||||||
\(500\) | 3.16158 | − | 5.47601i | 0.141390 | − | 0.244895i | ||||
\(501\) | −9.27340 | + | 16.0620i | −0.414305 | + | 0.717597i | ||||
\(502\) | 1.03183 | + | 1.78718i | 0.0460528 | + | 0.0797657i | ||||
\(503\) | − | 9.11407i | − | 0.406376i | −0.979140 | − | 0.203188i | \(-0.934870\pi\) | ||
0.979140 | − | 0.203188i | \(-0.0651303\pi\) | |||||||
\(504\) | −13.5167 | + | 12.2777i | −0.602083 | + | 0.546891i | ||||
\(505\) | 31.5336i | 1.40323i | ||||||||
\(506\) | −21.2972 | + | 12.2959i | −0.946776 | + | 0.546622i | ||||
\(507\) | −7.29260 | − | 4.21039i | −0.323876 | − | 0.186990i | ||||
\(508\) | −3.71690 | + | 6.43786i | −0.164911 | + | 0.285634i | ||||
\(509\) | 0.949168 | − | 0.548002i | 0.0420711 | − | 0.0242898i | −0.478817 | − | 0.877915i | \(-0.658934\pi\) |
0.520888 | + | 0.853625i | \(0.325601\pi\) | |||||||
\(510\) | −5.54249 | −0.245426 | ||||||||
\(511\) | 2.36784 | + | 0.757955i | 0.104747 | + | 0.0335300i | ||||
\(512\) | 5.40116 | 0.238700 | ||||||||
\(513\) | 4.47553 | + | 7.75184i | 0.197599 | + | 0.342252i | ||||
\(514\) | 0.587541 | + | 0.339217i | 0.0259153 | + | 0.0149622i | ||||
\(515\) | −22.4921 | + | 38.9575i | −0.991121 | + | 1.71667i | ||||
\(516\) | 5.90275 | − | 3.40796i | 0.259854 | − | 0.150027i | ||||
\(517\) | −41.0511 | −1.80543 | ||||||||
\(518\) | −21.6904 | − | 6.94320i | −0.953022 | − | 0.305067i | ||||
\(519\) | − | 12.3556i | − | 0.542351i | ||||||
\(520\) | −11.2412 | + | 6.49014i | −0.492961 | + | 0.284611i | ||||
\(521\) | −25.0920 | − | 14.4869i | −1.09930 | − | 0.634682i | −0.163264 | − | 0.986582i | \(-0.552202\pi\) |
−0.936038 | + | 0.351900i | \(0.885536\pi\) | |||||||
\(522\) | −0.515205 | − | 0.297454i | −0.0225499 | − | 0.0130192i | ||||
\(523\) | −15.5893 | − | 27.0014i | −0.681672 | − | 1.18069i | −0.974470 | − | 0.224516i | \(-0.927920\pi\) |
0.292798 | − | 0.956174i | \(-0.405414\pi\) | |||||||
\(524\) | −2.42424 | −0.105904 | ||||||||
\(525\) | −4.28745 | − | 4.72013i | −0.187119 | − | 0.206003i | ||||
\(526\) | 17.7631i | 0.774508i | ||||||||
\(527\) | 5.47202 | − | 3.15927i | 0.238365 | − | 0.137620i | ||||
\(528\) | 0.990517 | − | 1.71563i | 0.0431067 | − | 0.0746630i | ||||
\(529\) | −1.49231 | + | 2.58475i | −0.0648829 | + | 0.112380i | ||||
\(530\) | 25.5947 | − | 14.7771i | 1.11176 | − | 0.641878i | ||||
\(531\) | −4.75205 | −0.206221 | ||||||||
\(532\) | −6.08256 | + | 1.32064i | −0.263712 | + | 0.0572570i | ||||
\(533\) | −9.32534 | − | 3.73238i | −0.403925 | − | 0.161667i | ||||
\(534\) | 3.07877 | + | 5.33259i | 0.133232 | + | 0.230764i | ||||
\(535\) | −16.8868 | + | 29.2488i | −0.730081 | + | 1.26454i | ||||
\(536\) | 21.2220 | + | 12.2525i | 0.916650 | + | 0.529228i | ||||
\(537\) | −0.936092 | − | 1.62136i | −0.0403954 | − | 0.0699668i | ||||
\(538\) | 26.5726 | 1.14563 | ||||||||
\(539\) | −35.9542 | − | 3.46214i | −1.54866 | − | 0.149125i | ||||
\(540\) | 13.6564i | 0.587677i | ||||||||
\(541\) | −12.0284 | − | 20.8338i | −0.517142 | − | 0.895716i | −0.999802 | − | 0.0199082i | \(-0.993663\pi\) |
0.482660 | − | 0.875808i | \(-0.339671\pi\) | |||||||
\(542\) | −2.49620 | + | 4.32355i | −0.107221 | + | 0.185712i | ||||
\(543\) | −5.14325 | + | 8.90836i | −0.220718 | + | 0.382294i | ||||
\(544\) | −12.2455 | + | 7.06992i | −0.525020 | + | 0.303121i | ||||
\(545\) | 29.5160i | 1.26432i | ||||||||
\(546\) | −0.657816 | − | 3.02975i | −0.0281519 | − | 0.129661i | ||||
\(547\) | 27.3582i | 1.16975i | 0.811123 | + | 0.584876i | \(0.198857\pi\) | ||||
−0.811123 | + | 0.584876i | \(0.801143\pi\) | |||||||
\(548\) | 9.74459 | − | 5.62604i | 0.416268 | − | 0.240333i | ||||
\(549\) | −5.96933 | + | 10.3392i | −0.254765 | + | 0.441265i | ||||
\(550\) | −12.6027 | − | 7.27619i | −0.537382 | − | 0.310258i | ||||
\(551\) | −0.281494 | − | 0.487563i | −0.0119921 | − | 0.0207709i | ||||
\(552\) | − | 11.9030i | − | 0.506626i | ||||||
\(553\) | 0.883162 | + | 0.972289i | 0.0375559 | + | 0.0413459i | ||||
\(554\) | 8.52356 | 0.362131 | ||||||||
\(555\) | −18.0381 | + | 10.4143i | −0.765675 | + | 0.442063i | ||||
\(556\) | 5.88600 | − | 10.1949i | 0.249622 | − | 0.432358i | ||||
\(557\) | 18.4992 | + | 10.6805i | 0.783836 | + | 0.452548i | 0.837788 | − | 0.545996i | \(-0.183849\pi\) |
−0.0539522 | + | 0.998544i | \(0.517182\pi\) | |||||||
\(558\) | 2.66183 | + | 4.61043i | 0.112684 | + | 0.195175i | ||||
\(559\) | − | 11.8854i | − | 0.502698i | ||||||
\(560\) | 3.42807 | + | 1.09734i | 0.144862 | + | 0.0463711i | ||||
\(561\) | 10.8042i | 0.456153i | ||||||||
\(562\) | −10.2773 | + | 5.93361i | −0.433522 | + | 0.250294i | ||||
\(563\) | 22.9403 | + | 13.2446i | 0.966820 | + | 0.558194i | 0.898265 | − | 0.439454i | \(-0.144828\pi\) |
0.0685545 | + | 0.997647i | \(0.478161\pi\) | |||||||
\(564\) | 3.57839 | − | 6.19795i | 0.150677 | − | 0.260981i | ||||
\(565\) | −14.9880 | − | 25.9599i | −0.630549 | − | 1.09214i | ||||
\(566\) | −2.65129 | −0.111442 | ||||||||
\(567\) | 9.22752 | + | 2.95377i | 0.387520 | + | 0.124047i | ||||
\(568\) | − | 25.2193i | − | 1.05818i | ||||||
\(569\) | −1.60599 | − | 2.78165i | −0.0673265 | − | 0.116613i | 0.830397 | − | 0.557172i | \(-0.188114\pi\) |
−0.897724 | + | 0.440559i | \(0.854780\pi\) | |||||||
\(570\) | 2.20963 | − | 3.82718i | 0.0925511 | − | 0.160303i | ||||
\(571\) | −10.0684 | − | 5.81301i | −0.421350 | − | 0.243267i | 0.274305 | − | 0.961643i | \(-0.411552\pi\) |
−0.695655 | + | 0.718376i | \(0.744886\pi\) | |||||||
\(572\) | 4.55689 | + | 7.89277i | 0.190533 | + | 0.330013i | ||||
\(573\) | −11.8639 | −0.495622 | ||||||||
\(574\) | 5.53040 | + | 14.8418i | 0.230835 | + | 0.619483i | ||||
\(575\) | −15.3765 | −0.641245 | ||||||||
\(576\) | −7.09148 | − | 12.2828i | −0.295478 | − | 0.511784i | ||||
\(577\) | 25.0722 | + | 14.4755i | 1.04377 | + | 0.602621i | 0.920899 | − | 0.389802i | \(-0.127456\pi\) |
0.122871 | + | 0.992423i | \(0.460790\pi\) | |||||||
\(578\) | 4.73669 | − | 8.20418i | 0.197020 | − | 0.341249i | ||||
\(579\) | 0.459768 | + | 0.796342i | 0.0191073 | + | 0.0330948i | ||||
\(580\) | − | 0.858936i | − | 0.0356654i | ||||||
\(581\) | 2.92707 | + | 13.4814i | 0.121435 | + | 0.559303i | ||||
\(582\) | −7.54407 | −0.312712 | ||||||||
\(583\) | −28.8056 | − | 49.8928i | −1.19301 | − | 2.06635i | ||||
\(584\) | −1.37312 | + | 2.37832i | −0.0568203 | + | 0.0984156i | ||||
\(585\) | 9.08381 | + | 5.24454i | 0.375569 | + | 0.216835i | ||||
\(586\) | 12.1634 | − | 7.02253i | 0.502465 | − | 0.290098i | ||||
\(587\) | 21.5525i | 0.889568i | 0.895638 | + | 0.444784i | \(0.146719\pi\) | ||||
−0.895638 | + | 0.444784i | \(0.853281\pi\) | |||||||
\(588\) | 3.65682 | − | 5.12663i | 0.150805 | − | 0.211418i | ||||
\(589\) | 5.03803i | 0.207589i | ||||||||
\(590\) | 2.66326 | + | 4.61289i | 0.109644 | + | 0.189910i | ||||
\(591\) | −5.73600 | − | 3.31168i | −0.235947 | − | 0.136224i | ||||
\(592\) | 2.21200 | − | 3.83130i | 0.0909127 | − | 0.157465i | ||||
\(593\) | 21.7609 | − | 12.5637i | 0.893614 | − | 0.515928i | 0.0184911 | − | 0.999829i | \(-0.494114\pi\) |
0.875123 | + | 0.483901i | \(0.160780\pi\) | |||||||
\(594\) | −20.6668 | −0.847969 | ||||||||
\(595\) | −19.1836 | + | 4.16513i | −0.786450 | + | 0.170754i | ||||
\(596\) | 25.8569i | 1.05914i | ||||||||
\(597\) | 0.476801 | + | 0.825844i | 0.0195142 | + | 0.0337996i | ||||
\(598\) | −6.47447 | − | 3.73804i | −0.264761 | − | 0.152860i | ||||
\(599\) | 10.9830 | − | 19.0231i | 0.448752 | − | 0.777261i | −0.549553 | − | 0.835459i | \(-0.685202\pi\) |
0.998305 | + | 0.0581978i | \(0.0185354\pi\) | |||||||
\(600\) | 6.09999 | − | 3.52183i | 0.249031 | − | 0.143778i | ||||
\(601\) | − | 36.7762i | − | 1.50013i | −0.661362 | − | 0.750067i | \(-0.730021\pi\) | ||
0.661362 | − | 0.750067i | \(-0.269979\pi\) | |||||||
\(602\) | −13.8727 | + | 12.6011i | −0.565411 | + | 0.513581i | ||||
\(603\) | − | 19.8020i | − | 0.806399i | ||||||
\(604\) | 6.96468 | − | 4.02106i | 0.283389 | − | 0.163614i | ||||
\(605\) | −22.1218 | + | 38.3161i | −0.899380 | + | 1.55777i | ||||
\(606\) | 4.15981 | − | 7.20501i | 0.168981 | − | 0.292683i | ||||
\(607\) | −5.38324 | − | 9.32404i | −0.218499 | − | 0.378451i | 0.735850 | − | 0.677144i | \(-0.236783\pi\) |
−0.954349 | + | 0.298693i | \(0.903449\pi\) | |||||||
\(608\) | − | 11.2743i | − | 0.457232i | ||||||
\(609\) | 0.542469 | + | 0.173647i | 0.0219820 | + | 0.00703653i | ||||
\(610\) | 13.3819 | 0.541817 | ||||||||
\(611\) | −6.23988 | − | 10.8078i | −0.252439 | − | 0.437237i | ||||
\(612\) | 6.03440 | + | 3.48396i | 0.243926 | + | 0.140831i | ||||
\(613\) | −3.27709 | + | 5.67609i | −0.132360 | + | 0.229255i | −0.924586 | − | 0.380973i | \(-0.875589\pi\) |
0.792226 | + | 0.610228i | \(0.208922\pi\) | |||||||
\(614\) | −14.8589 | − | 25.7364i | −0.599657 | − | 1.03864i | ||||
\(615\) | 13.4482 | + | 5.38249i | 0.542282 | + | 0.217043i | ||||
\(616\) | 12.1638 | − | 37.9994i | 0.490093 | − | 1.53104i | ||||
\(617\) | 28.6247 | 1.15239 | 0.576193 | − | 0.817313i | \(-0.304538\pi\) | ||||
0.576193 | + | 0.817313i | \(0.304538\pi\) | |||||||
\(618\) | 10.2783 | − | 5.93417i | 0.413454 | − | 0.238707i | ||||
\(619\) | 19.9590 | − | 34.5700i | 0.802220 | − | 1.38949i | −0.115932 | − | 0.993257i | \(-0.536985\pi\) |
0.918152 | − | 0.396229i | \(-0.129681\pi\) | |||||||
\(620\) | −3.84319 | + | 6.65660i | −0.154346 | + | 0.267336i | ||||
\(621\) | −18.9116 | + | 10.9186i | −0.758896 | + | 0.438149i | ||||
\(622\) | 15.8209i | 0.634361i | ||||||||
\(623\) | 14.6636 | + | 16.1434i | 0.587484 | + | 0.646772i | ||||
\(624\) | 0.602245 | 0.0241091 | ||||||||
\(625\) | 15.4916 | + | 26.8323i | 0.619665 | + | 1.07329i | ||||
\(626\) | −25.8371 | − | 14.9170i | −1.03266 | − | 0.596204i | ||||
\(627\) | −7.46047 | − | 4.30731i | −0.297943 | − | 0.172017i | ||||
\(628\) | −21.5147 | + | 12.4215i | −0.858532 | + | 0.495674i | ||||
\(629\) | 24.1277i | 0.962034i | ||||||||
\(630\) | −3.50931 | − | 16.1631i | −0.139814 | − | 0.643951i | ||||
\(631\) | −26.3805 | −1.05019 | −0.525096 | − | 0.851043i | \(-0.675971\pi\) | ||||
−0.525096 | + | 0.851043i | \(0.675971\pi\) | |||||||
\(632\) | −1.25652 | + | 0.725454i | −0.0499818 | + | 0.0288570i | ||||
\(633\) | 4.60975 | − | 7.98433i | 0.183221 | − | 0.317348i | ||||
\(634\) | −22.6091 | − | 13.0534i | −0.897922 | − | 0.518415i | ||||
\(635\) | −9.34692 | − | 16.1893i | −0.370921 | − | 0.642454i | ||||
\(636\) | 10.0438 | 0.398264 | ||||||||
\(637\) | −4.55365 | − | 9.99216i | −0.180422 | − | 0.395904i | ||||
\(638\) | 1.29987 | 0.0514622 | ||||||||
\(639\) | −17.6489 | + | 10.1896i | −0.698178 | + | 0.403093i | ||||
\(640\) | 7.32849 | − | 12.6933i | 0.289684 | − | 0.501748i | ||||
\(641\) | −5.25016 | − | 3.03118i | −0.207369 | − | 0.119724i | 0.392719 | − | 0.919658i | \(-0.371534\pi\) |
−0.600088 | + | 0.799934i | \(0.704868\pi\) | |||||||
\(642\) | 7.71682 | − | 4.45531i | 0.304559 | − | 0.175837i | ||||
\(643\) | − | 7.51885i | − | 0.296514i | −0.988949 | − | 0.148257i | \(-0.952634\pi\) | ||
0.988949 | − | 0.148257i | \(-0.0473663\pi\) | |||||||
\(644\) | −3.22187 | − | 14.8392i | −0.126959 | − | 0.584745i | ||||
\(645\) | 17.1400i | 0.674888i | ||||||||
\(646\) | −2.55961 | − | 4.43338i | −0.100707 | − | 0.174429i | ||||
\(647\) | −7.93053 | + | 13.7361i | −0.311781 | + | 0.540021i | −0.978748 | − | 0.205067i | \(-0.934259\pi\) |
0.666967 | + | 0.745087i | \(0.267592\pi\) | |||||||
\(648\) | −5.35110 | + | 9.26838i | −0.210211 | + | 0.364096i | ||||
\(649\) | 8.99208 | − | 5.19158i | 0.352970 | − | 0.203787i | ||||
\(650\) | − | 4.42400i | − | 0.173524i | ||||||
\(651\) | −3.42708 | − | 3.77294i | −0.134318 | − | 0.147873i | ||||
\(652\) | 9.06219 | 0.354903 | ||||||||
\(653\) | 29.6483 | − | 17.1175i | 1.16023 | − | 0.669858i | 0.208870 | − | 0.977943i | \(-0.433021\pi\) |
0.951359 | + | 0.308085i | \(0.0996881\pi\) | |||||||
\(654\) | 3.89365 | − | 6.74400i | 0.152254 | − | 0.263711i | ||||
\(655\) | 3.04813 | − | 5.27952i | 0.119100 | − | 0.206288i | ||||
\(656\) | −3.04533 | + | 0.438120i | −0.118900 | + | 0.0171057i | ||||
\(657\) | 2.21918 | 0.0865786 | ||||||||
\(658\) | −5.99935 | + | 18.7418i | −0.233879 | + | 0.730633i | ||||
\(659\) | 4.57842i | 0.178350i | 0.996016 | + | 0.0891750i | \(0.0284230\pi\) | ||||
−0.996016 | + | 0.0891750i | \(0.971577\pi\) | |||||||
\(660\) | −6.57153 | − | 11.3822i | −0.255797 | − | 0.443053i | ||||
\(661\) | 3.94695 | − | 6.83631i | 0.153518 | − | 0.265902i | −0.779000 | − | 0.627024i | \(-0.784273\pi\) |
0.932519 | + | 0.361122i | \(0.117606\pi\) | |||||||
\(662\) | 8.87706 | + | 5.12518i | 0.345017 | + | 0.199196i | ||||
\(663\) | −2.84449 | + | 1.64227i | −0.110471 | + | 0.0637804i | ||||
\(664\) | −15.2385 | −0.591370 | ||||||||
\(665\) | 4.77183 | − | 14.9071i | 0.185044 | − | 0.578073i | ||||
\(666\) | −20.3287 | −0.787721 | ||||||||
\(667\) | 1.18947 | − | 0.686741i | 0.0460564 | − | 0.0265907i | ||||
\(668\) | −22.6339 | − | 13.0677i | −0.875733 | − | 0.505605i | ||||
\(669\) | 16.4208 | + | 9.48055i | 0.634865 | + | 0.366539i | ||||
\(670\) | −19.2221 | + | 11.0979i | −0.742615 | + | 0.428749i | ||||
\(671\) | − | 26.0858i | − | 1.00703i | ||||||
\(672\) | 7.66923 | + | 8.44320i | 0.295847 | + | 0.325703i | ||||
\(673\) | 36.3385i | 1.40075i | 0.713776 | + | 0.700374i | \(0.246983\pi\) | ||||
−0.713776 | + | 0.700374i | \(0.753017\pi\) | |||||||
\(674\) | −0.214553 | − | 0.371617i | −0.00826428 | − | 0.0143142i | ||||
\(675\) | −11.1910 | − | 6.46114i | −0.430743 | − | 0.248689i | ||||
\(676\) | 5.93311 | − | 10.2764i | 0.228196 | − | 0.395248i | ||||
\(677\) | 8.99933 | + | 15.5873i | 0.345872 | + | 0.599069i | 0.985512 | − | 0.169606i | \(-0.0542497\pi\) |
−0.639639 | + | 0.768675i | \(0.720916\pi\) | |||||||
\(678\) | 7.90866i | 0.303730i | ||||||||
\(679\) | −26.1114 | + | 5.66929i | −1.00206 | + | 0.217567i | ||||
\(680\) | − | 21.6839i | − | 0.831540i | ||||||
\(681\) | 7.52780 | + | 13.0385i | 0.288466 | + | 0.499638i | ||||
\(682\) | −10.0737 | − | 5.81607i | −0.385743 | − | 0.222709i | ||||
\(683\) | 4.07132 | + | 2.35058i | 0.155785 | + | 0.0899423i | 0.575866 | − | 0.817544i | \(-0.304665\pi\) |
−0.420081 | + | 0.907487i | \(0.637998\pi\) | |||||||
\(684\) | −4.81147 | + | 2.77790i | −0.183971 | + | 0.106216i | ||||
\(685\) | 28.2957i | 1.08112i | ||||||||
\(686\) | −6.83512 | + | 15.9089i | −0.260966 | + | 0.607405i | ||||
\(687\) | −22.9211 | −0.874493 | ||||||||
\(688\) | −1.82027 | − | 3.15281i | −0.0693973 | − | 0.120200i | ||||
\(689\) | 8.75707 | − | 15.1677i | 0.333618 | − | 0.577843i | ||||
\(690\) | 9.33689 | + | 5.39066i | 0.355449 | + | 0.205219i | ||||
\(691\) | 25.0435 | − | 14.4589i | 0.952699 | − | 0.550041i | 0.0587808 | − | 0.998271i | \(-0.481279\pi\) |
0.893918 | + | 0.448230i | \(0.147945\pi\) | |||||||
\(692\) | 17.4110 | 0.661868 | ||||||||
\(693\) | −31.5072 | + | 6.84083i | −1.19686 | + | 0.259862i | ||||
\(694\) | 15.3275i | 0.581823i | ||||||||
\(695\) | 14.8016 | + | 25.6371i | 0.561455 | + | 0.972469i | ||||
\(696\) | −0.314581 | + | 0.544871i | −0.0119242 | + | 0.0206533i | ||||
\(697\) | 13.1888 | − | 10.3736i | 0.499562 | − | 0.392930i | ||||
\(698\) | −14.5057 | − | 25.1245i | −0.549047 | − | 0.950978i | ||||
\(699\) | −0.161427 | −0.00610572 | ||||||||
\(700\) | 6.65141 | − | 6.04170i | 0.251400 | − | 0.228355i | ||||
\(701\) | −27.6401 | −1.04395 | −0.521977 | − | 0.852960i | \(-0.674805\pi\) | ||||
−0.521977 | + | 0.852960i | \(0.674805\pi\) | |||||||
\(702\) | −3.14141 | − | 5.44108i | −0.118565 | − | 0.205360i | ||||
\(703\) | −16.6606 | − | 9.61899i | −0.628366 | − | 0.362787i | ||||
\(704\) | 26.8378 | + | 15.4948i | 1.01149 | + | 0.583982i | ||||
\(705\) | 8.99859 | + | 15.5860i | 0.338907 | + | 0.587003i | ||||
\(706\) | 8.79257 | 0.330913 | ||||||||
\(707\) | 8.98339 | − | 28.0639i | 0.337855 | − | 1.05545i | ||||
\(708\) | 1.81018i | 0.0680308i | ||||||||
\(709\) | −10.8151 | + | 6.24413i | −0.406171 | + | 0.234503i | −0.689143 | − | 0.724625i | \(-0.742013\pi\) |
0.282972 | + | 0.959128i | \(0.408680\pi\) | |||||||
\(710\) | 19.7824 | + | 11.4214i | 0.742419 | + | 0.428636i | ||||
\(711\) | 1.01537 | + | 0.586224i | 0.0380793 | + | 0.0219851i | ||||
\(712\) | −20.8627 | + | 12.0451i | −0.781864 | + | 0.451409i | ||||
\(713\) | −12.2909 | −0.460298 | ||||||||
\(714\) | 4.93264 | + | 1.57896i | 0.184599 | + | 0.0590912i | ||||
\(715\) | −22.9185 | −0.857103 | ||||||||
\(716\) | 2.28475 | − | 1.31910i | 0.0853853 | − | 0.0492972i | ||||
\(717\) | −11.9701 | + | 20.7328i | −0.447031 | + | 0.774280i | ||||
\(718\) | −13.0638 | + | 22.6271i | −0.487536 | + | 0.844437i | ||||
\(719\) | −39.0459 | + | 22.5431i | −1.45617 | + | 0.840717i | −0.998820 | − | 0.0485717i | \(-0.984533\pi\) |
−0.457346 | + | 0.889289i | \(0.651200\pi\) | |||||||
\(720\) | 3.21285 | 0.119736 | ||||||||
\(721\) | 31.1156 | − | 28.2633i | 1.15881 | − | 1.05258i | ||||
\(722\) | −13.6818 | −0.509185 | ||||||||
\(723\) | 0.243989 | − | 0.140867i | 0.00907406 | − | 0.00523891i | ||||
\(724\) | −12.5533 | − | 7.24766i | −0.466540 | − | 0.269357i | ||||
\(725\) | 0.703874 | + | 0.406382i | 0.0261412 | + | 0.0150927i | ||||
\(726\) | 10.1091 | − | 5.83648i | 0.375183 | − | 0.216612i | ||||
\(727\) | − | 35.6238i | − | 1.32121i | −0.750732 | − | 0.660607i | \(-0.770299\pi\) | ||
0.750732 | − | 0.660607i | \(-0.229701\pi\) | |||||||
\(728\) | 11.8533 | − | 2.57358i | 0.439312 | − | 0.0953831i | ||||
\(729\) | −1.62023 | −0.0600085 | ||||||||
\(730\) | −1.24373 | − | 2.15420i | −0.0460324 | − | 0.0797304i | ||||
\(731\) | 17.1948 | + | 9.92743i | 0.635973 | + | 0.367179i | ||||
\(732\) | 3.93847 | + | 2.27387i | 0.145570 | + | 0.0840448i | ||||
\(733\) | 7.78442 | + | 13.4830i | 0.287524 | + | 0.498006i | 0.973218 | − | 0.229883i | \(-0.0738345\pi\) |
−0.685694 | + | 0.727890i | \(0.740501\pi\) | |||||||
\(734\) | 28.3455 | 1.04625 | ||||||||
\(735\) | 6.56685 | + | 14.4098i | 0.242222 | + | 0.531513i | ||||
\(736\) | 27.5050 | 1.01385 | ||||||||
\(737\) | 21.6335 | + | 37.4704i | 0.796881 | + | 1.38024i | ||||
\(738\) | 8.74027 | + | 11.1122i | 0.321734 | + | 0.409045i | ||||
\(739\) | −7.31123 | + | 12.6634i | −0.268948 | + | 0.465832i | −0.968590 | − | 0.248661i | \(-0.920009\pi\) |
0.699642 | + | 0.714493i | \(0.253343\pi\) | |||||||
\(740\) | −14.6754 | − | 25.4186i | −0.539479 | − | 0.934405i | ||||
\(741\) | − | 2.61889i | − | 0.0962074i | ||||||
\(742\) | −26.9883 | + | 5.85967i | −0.990770 | + | 0.215115i | ||||
\(743\) | 17.5545 | 0.644011 | 0.322005 | − | 0.946738i | \(-0.395643\pi\) | ||||
0.322005 | + | 0.946738i | \(0.395643\pi\) | |||||||
\(744\) | 4.87590 | − | 2.81510i | 0.178759 | − | 0.103207i | ||||
\(745\) | −56.3112 | − | 32.5113i | −2.06308 | − | 1.19112i | ||||
\(746\) | 4.60409 | − | 7.97452i | 0.168568 | − | 0.291968i | ||||
\(747\) | 6.15696 | + | 10.6642i | 0.225271 | + | 0.390181i | ||||
\(748\) | −15.2248 | −0.556675 | ||||||||
\(749\) | 23.3612 | − | 21.2198i | 0.853601 | − | 0.775353i | ||||
\(750\) | − | 4.19518i | − | 0.153186i | ||||||
\(751\) | −45.1366 | + | 26.0596i | −1.64706 | + | 0.950929i | −0.668824 | + | 0.743421i | \(0.733202\pi\) |
−0.978233 | + | 0.207508i | \(0.933465\pi\) | |||||||
\(752\) | −3.31048 | − | 1.91130i | −0.120721 | − | 0.0696981i | ||||
\(753\) | −1.52734 | − | 0.881808i | −0.0556592 | − | 0.0321349i | ||||
\(754\) | 0.197583 | + | 0.342224i | 0.00719556 | + | 0.0124631i | ||||
\(755\) | 20.2236i | 0.736011i | ||||||||
\(756\) | 3.89047 | − | 12.1537i | 0.141495 | − | 0.442027i | ||||
\(757\) | − | 6.56451i | − | 0.238591i | −0.992859 | − | 0.119296i | \(-0.961936\pi\) | ||
0.992859 | − | 0.119296i | \(-0.0380636\pi\) | |||||||
\(758\) | 12.9919 | + | 22.5027i | 0.471888 | + | 0.817334i | ||||
\(759\) | 10.5082 | − | 18.2008i | 0.381424 | − | 0.660645i | ||||
\(760\) | 14.9731 | + | 8.64473i | 0.543132 | + | 0.313577i | ||||
\(761\) | 21.9319 | + | 37.9872i | 0.795032 | + | 1.37704i | 0.922819 | + | 0.385235i | \(0.125880\pi\) |
−0.127786 | + | 0.991802i | \(0.540787\pi\) | |||||||
\(762\) | 4.93206i | 0.178670i | ||||||||
\(763\) | 8.40859 | − | 26.2683i | 0.304412 | − | 0.950975i | ||||
\(764\) | − | 16.7181i | − | 0.604841i | ||||||
\(765\) | −15.1747 | + | 8.76115i | −0.548644 | + | 0.316760i | ||||
\(766\) | 9.97244 | + | 5.75759i | 0.360319 | + | 0.208030i | ||||
\(767\) | 2.73364 | + | 1.57827i | 0.0987062 | + | 0.0569880i | ||||
\(768\) | −11.6601 | + | 6.73198i | −0.420749 | + | 0.242919i | ||||
\(769\) | 23.3701 | 0.842747 | 0.421373 | − | 0.906887i | \(-0.361548\pi\) | ||||
0.421373 | + | 0.906887i | \(0.361548\pi\) | |||||||
\(770\) | 24.2985 | + | 26.7507i | 0.875658 | + | 0.964028i | ||||
\(771\) | −0.579795 | −0.0208808 | ||||||||
\(772\) | −1.12217 | + | 0.647887i | −0.0403879 | + | 0.0233180i | ||||
\(773\) | −12.9930 | − | 7.50149i | −0.467324 | − | 0.269810i | 0.247795 | − | 0.968813i | \(-0.420294\pi\) |
−0.715119 | + | 0.699003i | \(0.753627\pi\) | |||||||
\(774\) | −8.36432 | + | 14.4874i | −0.300649 | + | 0.520740i | ||||
\(775\) | −3.63660 | − | 6.29878i | −0.130631 | − | 0.226259i | ||||
\(776\) | − | 29.5147i | − | 1.05952i | ||||||
\(777\) | 19.0202 | − | 4.12965i | 0.682346 | − | 0.148150i | ||||
\(778\) | 17.9945 | 0.645135 | ||||||||
\(779\) | 1.90518 | + | 13.2428i | 0.0682603 | + | 0.474471i | ||||
\(780\) | 1.99778 | − | 3.46026i | 0.0715321 | − | 0.123897i | ||||
\(781\) | 22.2641 | − | 38.5625i | 0.796672 | − | 1.37988i | ||||
\(782\) | 10.8158 | − | 6.24449i | 0.386772 | − | 0.223303i | ||||
\(783\) | 1.15426 | 0.0412499 | ||||||||
\(784\) | −2.73826 | − | 1.95320i | −0.0977949 | − | 0.0697570i | ||||
\(785\) | − | 62.4731i | − | 2.22976i | ||||||
\(786\) | −1.39291 | + | 0.804199i | −0.0496836 | + | 0.0286848i | ||||
\(787\) | 10.4644 | − | 18.1248i | 0.373015 | − | 0.646080i | −0.617013 | − | 0.786953i | \(-0.711657\pi\) |
0.990028 | + | 0.140873i | \(0.0449908\pi\) | |||||||
\(788\) | 4.66669 | − | 8.08294i | 0.166244 | − | 0.287943i | ||||
\(789\) | −7.59024 | − | 13.1467i | −0.270220 | − | 0.468034i | ||||
\(790\) | − | 1.31418i | − | 0.0467565i | ||||||
\(791\) | 5.94328 | + | 27.3733i | 0.211319 | + | 0.973283i | ||||
\(792\) | − | 35.6138i | − | 1.26548i | ||||||
\(793\) | 6.86778 | − | 3.96511i | 0.243882 | − | 0.140805i | ||||
\(794\) | −15.6513 | − | 9.03628i | −0.555444 | − | 0.320686i | ||||
\(795\) | −12.6286 | + | 21.8735i | −0.447892 | + | 0.775772i | ||||
\(796\) | −1.16375 | + | 0.671889i | −0.0412479 | + | 0.0238145i | ||||
\(797\) | −6.22453 | −0.220484 | −0.110242 | − | 0.993905i | \(-0.535163\pi\) | ||||
−0.110242 | + | 0.993905i | \(0.535163\pi\) | |||||||
\(798\) | −3.05680 | + | 2.77659i | −0.108209 | + | 0.0982901i | ||||
\(799\) | 20.8478 | 0.737542 | ||||||||
\(800\) | 8.13810 | + | 14.0956i | 0.287725 | + | 0.498355i | ||||
\(801\) | 16.8587 | + | 9.73338i | 0.595673 | + | 0.343912i | ||||
\(802\) | −0.949246 | + | 1.64414i | −0.0335190 | + | 0.0580567i | ||||
\(803\) | −4.19926 | + | 2.42444i | −0.148189 | + | 0.0855567i | ||||
\(804\) | −7.54310 | −0.266024 | ||||||||
\(805\) | 36.3677 | + | 11.6415i | 1.28179 | + | 0.410308i | ||||
\(806\) | − | 3.53623i | − | 0.124559i | ||||||
\(807\) | −19.6667 | + | 11.3546i | −0.692301 | + | 0.399700i | ||||
\(808\) | 28.1882 | + | 16.2744i | 0.991656 | + | 0.572533i | ||||
\(809\) | −7.05198 | − | 4.07146i | −0.247934 | − | 0.143145i | 0.370884 | − | 0.928679i | \(-0.379055\pi\) |
−0.618818 | + | 0.785534i | \(0.712388\pi\) | |||||||
\(810\) | −4.84684 | − | 8.39497i | −0.170300 | − | 0.294969i | ||||
\(811\) | 30.7997 | 1.08152 | 0.540762 | − | 0.841176i | \(-0.318136\pi\) | ||||
0.540762 | + | 0.841176i | \(0.318136\pi\) | |||||||
\(812\) | −0.244696 | + | 0.764426i | −0.00858715 | + | 0.0268261i | ||||
\(813\) | − | 4.26654i | − | 0.149634i | ||||||
\(814\) | 38.4670 | − | 22.2090i | 1.34827 | − | 0.778423i | ||||
\(815\) | −11.3944 | + | 19.7356i | −0.399127 | + | 0.691309i | ||||
\(816\) | −0.503034 | + | 0.871280i | −0.0176097 | + | 0.0305009i | ||||
\(817\) | −13.7101 | + | 7.91554i | −0.479656 | + | 0.276930i | ||||
\(818\) | 0.800829 | 0.0280003 | ||||||||
\(819\) | −6.59022 | − | 7.25529i | −0.230281 | − | 0.253520i | ||||
\(820\) | −7.58479 | + | 18.9506i | −0.264872 | + | 0.661784i | ||||
\(821\) | −0.921569 | − | 1.59620i | −0.0321630 | − | 0.0557079i | 0.849496 | − | 0.527595i | \(-0.176906\pi\) |
−0.881659 | + | 0.471887i | \(0.843573\pi\) | |||||||
\(822\) | 3.73267 | − | 6.46518i | 0.130192 | − | 0.225499i | ||||
\(823\) | −9.15804 | − | 5.28740i | −0.319229 | − | 0.184307i | 0.331820 | − | 0.943343i | \(-0.392337\pi\) |
−0.651049 | + | 0.759036i | \(0.725671\pi\) | |||||||
\(824\) | 23.2163 | + | 40.2118i | 0.808778 | + | 1.40084i | ||||
\(825\) | 12.4366 | 0.432986 | ||||||||
\(826\) | −1.05608 | − | 4.86404i | −0.0367456 | − | 0.169242i | ||||
\(827\) | − | 14.1020i | − | 0.490374i | −0.969476 | − | 0.245187i | \(-0.921151\pi\) | ||
0.969476 | − | 0.245187i | \(-0.0788493\pi\) | |||||||
\(828\) | −6.77704 | − | 11.7382i | −0.235518 | − | 0.407930i | ||||
\(829\) | −1.27104 | + | 2.20150i | −0.0441449 | + | 0.0764612i | −0.887254 | − | 0.461282i | \(-0.847390\pi\) |
0.843109 | + | 0.537743i | \(0.180723\pi\) | |||||||
\(830\) | 6.90126 | − | 11.9533i | 0.239546 | − | 0.414906i | ||||
\(831\) | −6.30839 | + | 3.64215i | −0.218835 | + | 0.126345i | ||||
\(832\) | 9.42101i | 0.326615i | ||||||||
\(833\) | 18.2594 | + | 1.75825i | 0.632649 | + | 0.0609197i | ||||
\(834\) | − | 7.81030i | − | 0.270448i | ||||||
\(835\) | 56.9177 | − | 32.8614i | 1.96972 | − | 1.13722i | ||||
\(836\) | 6.06968 | − | 10.5130i | 0.209924 | − | 0.363600i | ||||
\(837\) | −8.94531 | − | 5.16458i | −0.309195 | − | 0.178514i | ||||
\(838\) | 18.2513 | + | 31.6122i | 0.630481 | + | 1.09202i | ||||
\(839\) | 22.0506i | 0.761272i | 0.924725 | + | 0.380636i | \(0.124295\pi\) | ||||
−0.924725 | + | 0.380636i | \(0.875705\pi\) | |||||||
\(840\) | −17.0937 | + | 3.71138i | −0.589790 | + | 0.128055i | ||||
\(841\) | 28.9274 | 0.997497 | ||||||||
\(842\) | −2.43394 | + | 1.40523i | −0.0838790 | + | 0.0484276i | ||||
\(843\) | 5.07091 | − | 8.78307i | 0.174651 | − | 0.302505i | ||||
\(844\) | 11.2512 | + | 6.49588i | 0.387282 | + | 0.223597i | ||||
\(845\) | 14.9200 | + | 25.8422i | 0.513264 | + | 0.889000i | ||||
\(846\) | 17.5652i | 0.603905i | ||||||||
\(847\) | 30.6033 | − | 27.7980i | 1.05154 | − | 0.955151i | ||||
\(848\) | − | 5.36466i | − | 0.184223i | ||||||
\(849\) | 1.96225 | − | 1.13290i | 0.0673442 | − | 0.0388812i | ||||
\(850\) | 6.40029 | + | 3.69521i | 0.219528 | + | 0.126745i | ||||
\(851\) | 23.4667 | − | 40.6455i | 0.804429 | − | 1.39331i | ||||
\(852\) | 3.88148 | + | 6.72292i | 0.132977 | + | 0.230323i | ||||
\(853\) | −36.4227 | −1.24709 | −0.623546 | − | 0.781787i | \(-0.714308\pi\) | ||||
−0.623546 | + | 0.781787i | \(0.714308\pi\) | |||||||
\(854\) | −11.9094 | − | 3.81227i | −0.407533 | − | 0.130453i | ||||
\(855\) | − | 13.9712i | − | 0.477806i | ||||||
\(856\) | 17.4305 | + | 30.1905i | 0.595763 | + | 1.03189i | ||||
\(857\) | −16.7007 | + | 28.9265i | −0.570486 | + | 0.988110i | 0.426030 | + | 0.904709i | \(0.359912\pi\) |
−0.996516 | + | 0.0834013i | \(0.973422\pi\) | |||||||
\(858\) | 5.23657 | + | 3.02333i | 0.178773 | + | 0.103215i | ||||
\(859\) | −20.0370 | − | 34.7051i | −0.683653 | − | 1.18412i | −0.973858 | − | 0.227157i | \(-0.927057\pi\) |
0.290205 | − | 0.956964i | \(-0.406276\pi\) | |||||||
\(860\) | −24.1530 | −0.823611 | ||||||||
\(861\) | −10.4351 | − | 8.62140i | −0.355626 | − | 0.293816i | ||||
\(862\) | −12.3591 | −0.420951 | ||||||||
\(863\) | −19.8954 | − | 34.4598i | −0.677247 | − | 1.17303i | −0.975807 | − | 0.218636i | \(-0.929839\pi\) |
0.298559 | − | 0.954391i | \(-0.403494\pi\) | |||||||
\(864\) | 20.0181 | + | 11.5575i | 0.681030 | + | 0.393193i | ||||
\(865\) | −21.8918 | + | 37.9177i | −0.744344 | + | 1.28924i | ||||
\(866\) | 14.7016 | + | 25.4638i | 0.499579 | + | 0.865297i | ||||
\(867\) | 8.09602i | 0.274955i | ||||||||
\(868\) | 5.31667 | − | 4.82930i | 0.180460 | − | 0.163917i | ||||
\(869\) | −2.56178 | −0.0869025 | ||||||||
\(870\) | −0.284937 | − | 0.493525i | −0.00966025 | − | 0.0167320i | ||||
\(871\) | −6.57671 | + | 11.3912i | −0.222843 | + | 0.385976i | ||||
\(872\) | 26.3846 | + | 15.2331i | 0.893494 | + | 0.515859i | ||||
\(873\) | −20.6549 | + | 11.9251i | −0.699061 | + | 0.403603i | ||||
\(874\) | 9.95797i | 0.336833i | ||||||||
\(875\) | −3.15264 | − | 14.5203i | −0.106579 | − | 0.490876i | ||||
\(876\) | − | 0.845345i | − | 0.0285616i | ||||||
\(877\) | −17.7997 | − | 30.8300i | −0.601054 | − | 1.04106i | −0.992662 | − | 0.120924i | \(-0.961414\pi\) |
0.391608 | − | 0.920132i | \(-0.371919\pi\) | |||||||
\(878\) | −9.16163 | − | 5.28947i | −0.309190 | − | 0.178511i | ||||
\(879\) | −6.00151 | + | 10.3949i | −0.202426 | + | 0.350612i | ||||
\(880\) | −6.07953 | + | 3.51002i | −0.204941 | + | 0.118323i | ||||
\(881\) | 9.30281 | 0.313420 | 0.156710 | − | 0.987645i | \(-0.449911\pi\) | ||||
0.156710 | + | 0.987645i | \(0.449911\pi\) | |||||||
\(882\) | −1.48140 | + | 15.3843i | −0.0498815 | + | 0.518018i | ||||
\(883\) | 52.4893i | 1.76641i | 0.468990 | + | 0.883203i | \(0.344618\pi\) | ||||
−0.468990 | + | 0.883203i | \(0.655382\pi\) | |||||||
\(884\) | −2.31422 | − | 4.00834i | −0.0778355 | − | 0.134815i | ||||
\(885\) | −3.94221 | − | 2.27604i | −0.132516 | − | 0.0765082i | ||||
\(886\) | 10.7107 | − | 18.5514i | 0.359832 | − | 0.623248i | ||||
\(887\) | −4.93760 | + | 2.85072i | −0.165788 | + | 0.0957179i | −0.580598 | − | 0.814190i | \(-0.697181\pi\) |
0.414810 | + | 0.909908i | \(0.363848\pi\) | |||||||
\(888\) | 21.4992i | 0.721467i | ||||||||
\(889\) | 3.70639 | + | 17.0708i | 0.124308 | + | 0.572535i | ||||
\(890\) | − | 21.8200i | − | 0.731409i | ||||||
\(891\) | −16.3646 | + | 9.44812i | −0.548235 | + | 0.316524i | ||||
\(892\) | −13.3596 | + | 23.1395i | −0.447313 | + | 0.774769i | ||||
\(893\) | −8.31139 | + | 14.3958i | −0.278130 | + | 0.481736i | ||||
\(894\) | 8.57757 | + | 14.8568i | 0.286877 | + | 0.496885i | ||||
\(895\) | 6.63432i | 0.221761i | ||||||||
\(896\) | −10.1382 | + | 9.20889i | −0.338695 | + | 0.307647i | ||||
\(897\) | 6.38911 | 0.213326 | ||||||||
\(898\) | −15.7446 | − | 27.2704i | −0.525403 | − | 0.910025i | ||||
\(899\) | 0.562627 | + | 0.324833i | 0.0187647 | + | 0.0108338i | ||||
\(900\) | 4.01035 | − | 6.94613i | 0.133678 | − | 0.231538i | ||||
\(901\) | 14.6289 | + | 25.3380i | 0.487360 | + | 0.844133i | ||||
\(902\) | −28.6788 | − | 11.4784i | −0.954899 | − | 0.382189i | ||||
\(903\) | 4.88290 | − | 15.2541i | 0.162493 | − | 0.507624i | ||||
\(904\) | −30.9411 | −1.02908 | ||||||||
\(905\) | 31.5679 | − | 18.2257i | 1.04935 | − | 0.605844i | ||||
\(906\) | 2.66783 | − | 4.62081i | 0.0886326 | − | 0.153516i | ||||
\(907\) | −2.06751 | + | 3.58103i | −0.0686504 | + | 0.118906i | −0.898307 | − | 0.439367i | \(-0.855203\pi\) |
0.829657 | + | 0.558273i | \(0.188536\pi\) | |||||||
\(908\) | −18.3734 | + | 10.6079i | −0.609742 | + | 0.352035i | ||||
\(909\) | − | 26.3020i | − | 0.872384i | ||||||
\(910\) | −3.34939 | + | 10.4634i | −0.111031 | + | 0.346859i | ||||
\(911\) | −38.4184 | −1.27286 | −0.636430 | − | 0.771335i | \(-0.719590\pi\) | ||||
−0.636430 | + | 0.771335i | \(0.719590\pi\) | |||||||
\(912\) | −0.401089 | − | 0.694707i | −0.0132814 | − | 0.0230040i | ||||
\(913\) | −23.3011 | − | 13.4529i | −0.771153 | − | 0.445225i | ||||
\(914\) | 7.35939 | + | 4.24894i | 0.243427 | + | 0.140543i | ||||
\(915\) | −9.90409 | + | 5.71813i | −0.327419 | + | 0.189035i | ||||
\(916\) | − | 32.2994i | − | 1.06720i | ||||||
\(917\) | −4.21678 | + | 3.83024i | −0.139250 | + | 0.126486i | ||||
\(918\) | 10.4956 | 0.346407 | ||||||||
\(919\) | −18.7736 | + | 10.8389i | −0.619283 | + | 0.357543i | −0.776590 | − | 0.630006i | \(-0.783052\pi\) |
0.157307 | + | 0.987550i | \(0.449719\pi\) | |||||||
\(920\) | −21.0899 | + | 36.5288i | −0.695313 | + | 1.20432i | ||||
\(921\) | 21.9945 | + | 12.6985i | 0.724744 | + | 0.418431i | ||||
\(922\) | −7.03372 | − | 12.1828i | −0.231643 | − | 0.401218i | ||||
\(923\) | 13.5368 | 0.445570 | ||||||||
\(924\) | 2.60585 | + | 12.0019i | 0.0857263 | + | 0.394835i | ||||
\(925\) | 27.7731 | 0.913174 | ||||||||
\(926\) | −16.4700 | + | 9.50897i | −0.541238 | + | 0.312484i | ||||
\(927\) | 18.7606 | − | 32.4943i | 0.616178 | − | 1.06725i | ||||
\(928\) | −1.25907 | − | 0.726922i | −0.0413309 | − | 0.0238624i | ||||
\(929\) | −1.92665 | + | 1.11235i | −0.0632113 | + | 0.0364951i | −0.531273 | − | 0.847201i | \(-0.678286\pi\) |
0.468061 | + | 0.883696i | \(0.344953\pi\) | |||||||
\(930\) | 5.09964i | 0.167224i | ||||||||
\(931\) | −8.49356 | + | 11.9074i | −0.278365 | + | 0.390250i | ||||
\(932\) | − | 0.227476i | − | 0.00745123i | ||||||
\(933\) | −6.76033 | − | 11.7092i | −0.221323 | − | 0.383343i | ||||
\(934\) | −18.1107 | + | 31.3687i | −0.592600 | + | 1.02641i | ||||
\(935\) | 19.1430 | − | 33.1566i | 0.626043 | − | 1.08434i | ||||
\(936\) | 9.37628 | − | 5.41340i | 0.306473 | − | 0.176942i | ||||
\(937\) | 6.96322i | 0.227479i | 0.993511 | + | 0.113739i | \(0.0362829\pi\) | ||||
−0.993511 | + | 0.113739i | \(0.963717\pi\) | |||||||
\(938\) | 20.2687 | − | 4.40072i | 0.661795 | − | 0.143688i | ||||
\(939\) | 25.4964 | 0.832044 | ||||||||
\(940\) | −21.9632 | + | 12.6805i | −0.716360 | + | 0.413591i | ||||
\(941\) | −25.7052 | + | 44.5227i | −0.837965 | + | 1.45140i | 0.0536282 | + | 0.998561i | \(0.482921\pi\) |
−0.891593 | + | 0.452837i | \(0.850412\pi\) | |||||||
\(942\) | −8.24125 | + | 14.2743i | −0.268514 | + | 0.465080i | ||||
\(943\) | −32.3074 | + | 4.64793i | −1.05207 | + | 0.151357i | ||||
\(944\) | 0.966863 | 0.0314687 | ||||||||
\(945\) | 21.5767 | + | 23.7542i | 0.701891 | + | 0.772724i | ||||
\(946\) | − | 36.5518i | − | 1.18840i | ||||||
\(947\) | −3.99412 | − | 6.91801i | −0.129791 | − | 0.224805i | 0.793804 | − | 0.608173i | \(-0.208097\pi\) |
−0.923596 | + | 0.383368i | \(0.874764\pi\) | |||||||
\(948\) | 0.223308 | − | 0.386781i | 0.00725271 | − | 0.0125621i | ||||
\(949\) | −1.27660 | − | 0.737044i | −0.0414401 | − | 0.0239255i | ||||
\(950\) | −5.10321 | + | 2.94634i | −0.165570 | + | 0.0955919i | ||||
\(951\) | 22.3110 | 0.723484 | ||||||||
\(952\) | −6.17738 | + | 19.2980i | −0.200210 | + | 0.625452i | ||||
\(953\) | 15.6112 | 0.505695 | 0.252847 | − | 0.967506i | \(-0.418633\pi\) | ||||
0.252847 | + | 0.967506i | \(0.418633\pi\) | |||||||
\(954\) | −21.3485 | + | 12.3255i | −0.691182 | + | 0.399054i | ||||
\(955\) | 36.4088 | + | 21.0206i | 1.17816 | + | 0.680211i | ||||
\(956\) | −29.2158 | − | 16.8678i | −0.944907 | − | 0.545542i | ||||
\(957\) | −0.962046 | + | 0.555437i | −0.0310985 | + | 0.0179547i | ||||
\(958\) | 11.5567i | 0.373380i | ||||||||
\(959\) | 8.06096 | − | 25.1823i | 0.260302 | − | 0.813177i | ||||
\(960\) | − | 13.5861i | − | 0.438490i | ||||||
\(961\) | 12.5932 | + | 21.8120i | 0.406231 | + | 0.703613i | ||||
\(962\) | 11.6942 | + | 6.75165i | 0.377036 | + | 0.217682i | ||||
\(963\) | 14.0852 | − | 24.3963i | 0.453890 | − | 0.786160i | ||||
\(964\) | 0.198504 | + | 0.343820i | 0.00639340 | + | 0.0110737i | ||||
\(965\) | − | 3.25849i | − | 0.104895i | ||||||
\(966\) | −6.77383 | − | 7.45743i | −0.217944 | − | 0.239939i | ||||
\(967\) | − | 38.4050i | − | 1.23502i | −0.786562 | − | 0.617511i | \(-0.788141\pi\) | ||
0.786562 | − | 0.617511i | \(-0.211859\pi\) | |||||||
\(968\) | 22.8341 | + | 39.5498i | 0.733915 | + | 1.27118i | ||||
\(969\) | 3.78880 | + | 2.18746i | 0.121714 | + | 0.0702715i | ||||
\(970\) | 23.1518 | + | 13.3667i | 0.743358 | + | 0.429178i | ||||
\(971\) | 23.4682 | − | 13.5493i | 0.753129 | − | 0.434819i | −0.0736944 | − | 0.997281i | \(-0.523479\pi\) |
0.826823 | + | 0.562462i | \(0.190146\pi\) | |||||||
\(972\) | − | 17.7642i | − | 0.569787i | ||||||
\(973\) | −5.86936 | − | 27.0329i | −0.188163 | − | 0.866634i | ||||
\(974\) | 11.0525 | 0.354145 | ||||||||
\(975\) | 1.89039 | + | 3.27426i | 0.0605410 | + | 0.104860i | ||||
\(976\) | 1.21453 | − | 2.10363i | 0.0388762 | − | 0.0673356i | ||||
\(977\) | −3.52910 | − | 2.03753i | −0.112906 | − | 0.0651863i | 0.442484 | − | 0.896777i | \(-0.354097\pi\) |
−0.555390 | + | 0.831590i | \(0.687431\pi\) | |||||||
\(978\) | 5.20692 | − | 3.00622i | 0.166499 | − | 0.0961282i | ||||
\(979\) | −42.5346 | −1.35941 | ||||||||
\(980\) | −20.3057 | + | 9.25375i | −0.648642 | + | 0.295600i | ||||
\(981\) | − | 24.6191i | − | 0.786028i | ||||||
\(982\) | 13.4001 | + | 23.2097i | 0.427615 | + | 0.740651i | ||||
\(983\) | 26.8277 | − | 46.4669i | 0.855671 | − | 1.48207i | −0.0203505 | − | 0.999793i | \(-0.506478\pi\) |
0.876021 | − | 0.482272i | \(-0.160188\pi\) | |||||||
\(984\) | 11.7520 | − | 9.24353i | 0.374641 | − | 0.294673i | ||||
\(985\) | 11.7353 | + | 20.3262i | 0.373919 | + | 0.647647i | ||||
\(986\) | −0.660136 | −0.0210230 | ||||||||
\(987\) | −3.56827 | − | 16.4346i | −0.113579 | − | 0.523119i | ||||
\(988\) | 3.69044 | 0.117408 | ||||||||
\(989\) | −19.3109 | − | 33.4475i | −0.614052 | − | 1.06357i | ||||
\(990\) | 27.9360 | + | 16.1288i | 0.887864 | + | 0.512608i | ||||
\(991\) | 6.14503 | + | 3.54783i | 0.195203 | + | 0.112701i | 0.594416 | − | 0.804158i | \(-0.297383\pi\) |
−0.399213 | + | 0.916858i | \(0.630717\pi\) | |||||||
\(992\) | 6.50502 | + | 11.2670i | 0.206535 | + | 0.357729i | ||||
\(993\) | −8.76003 | −0.277991 | ||||||||
\(994\) | −14.3519 | − | 15.8003i | −0.455216 | − | 0.501155i | ||||
\(995\) | − | 3.37921i | − | 0.107128i | ||||||
\(996\) | 4.06226 | − | 2.34535i | 0.128718 | − | 0.0743152i | ||||
\(997\) | −44.9623 | − | 25.9590i | −1.42397 | − | 0.822130i | −0.427336 | − | 0.904093i | \(-0.640548\pi\) |
−0.996635 | + | 0.0819630i | \(0.973881\pi\) | |||||||
\(998\) | −1.92231 | − | 1.10985i | −0.0608498 | − | 0.0351316i | ||||
\(999\) | 34.1581 | − | 19.7212i | 1.08072 | − | 0.623951i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 287.2.j.a.81.17 | ✓ | 52 | |
7.2 | even | 3 | inner | 287.2.j.a.163.18 | yes | 52 | |
41.40 | even | 2 | inner | 287.2.j.a.81.18 | yes | 52 | |
287.163 | even | 6 | inner | 287.2.j.a.163.17 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.j.a.81.17 | ✓ | 52 | 1.1 | even | 1 | trivial | |
287.2.j.a.81.18 | yes | 52 | 41.40 | even | 2 | inner | |
287.2.j.a.163.17 | yes | 52 | 287.163 | even | 6 | inner | |
287.2.j.a.163.18 | yes | 52 | 7.2 | even | 3 | inner |