Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(5,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bb (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 91.5 |
Dual form | 91.2.bb.a.73.3 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.211401 | − | 0.788958i | −0.149483 | − | 0.557877i | −0.999515 | − | 0.0311464i | \(-0.990084\pi\) |
0.850032 | − | 0.526731i | \(-0.176582\pi\) | |||||||
\(3\) | −2.60482 | + | 1.50389i | −1.50389 | + | 0.868272i | −0.503902 | + | 0.863761i | \(0.668103\pi\) |
−0.999990 | + | 0.00451177i | \(0.998564\pi\) | |||||||
\(4\) | 1.15429 | − | 0.666428i | 0.577143 | − | 0.333214i | ||||
\(5\) | 3.03793 | − | 0.814012i | 1.35860 | − | 0.364037i | 0.495301 | − | 0.868721i | \(-0.335058\pi\) |
0.863304 | + | 0.504684i | \(0.168391\pi\) | |||||||
\(6\) | 1.73717 | + | 1.73717i | 0.709196 | + | 0.709196i | ||||
\(7\) | 2.28951 | + | 1.32595i | 0.865353 | + | 0.501162i | ||||
\(8\) | −1.92491 | − | 1.92491i | −0.680560 | − | 0.680560i | ||||
\(9\) | 3.02338 | − | 5.23665i | 1.00779 | − | 1.74555i | ||||
\(10\) | −1.28444 | − | 2.22472i | −0.406176 | − | 0.703518i | ||||
\(11\) | −0.131620 | + | 0.491212i | −0.0396849 | + | 0.148106i | −0.982925 | − | 0.184004i | \(-0.941094\pi\) |
0.943241 | + | 0.332110i | \(0.107761\pi\) | |||||||
\(12\) | −2.00447 | + | 3.47185i | −0.578641 | + | 1.00224i | ||||
\(13\) | −1.73717 | + | 3.15947i | −0.481804 | + | 0.876279i | ||||
\(14\) | 0.562115 | − | 2.08663i | 0.150232 | − | 0.557676i | ||||
\(15\) | −6.68907 | + | 6.68907i | −1.72711 | + | 1.72711i | ||||
\(16\) | 0.221107 | − | 0.382969i | 0.0552768 | − | 0.0957423i | ||||
\(17\) | −0.606654 | − | 1.05076i | −0.147135 | − | 0.254846i | 0.783032 | − | 0.621981i | \(-0.213672\pi\) |
−0.930168 | + | 0.367135i | \(0.880339\pi\) | |||||||
\(18\) | −4.77064 | − | 1.27829i | −1.12445 | − | 0.301296i | ||||
\(19\) | −1.72169 | + | 0.461325i | −0.394982 | + | 0.105835i | −0.450843 | − | 0.892603i | \(-0.648876\pi\) |
0.0558606 | + | 0.998439i | \(0.482210\pi\) | |||||||
\(20\) | 2.96417 | − | 2.96417i | 0.662808 | − | 0.662808i | ||||
\(21\) | −7.95784 | − | 0.0106837i | −1.73654 | − | 0.00233137i | ||||
\(22\) | 0.415370 | 0.0885572 | ||||||||
\(23\) | −4.51168 | − | 2.60482i | −0.940750 | − | 0.543142i | −0.0505543 | − | 0.998721i | \(-0.516099\pi\) |
−0.890195 | + | 0.455579i | \(0.849432\pi\) | |||||||
\(24\) | 7.90891 | + | 2.11919i | 1.61440 | + | 0.432577i | ||||
\(25\) | 4.23629 | − | 2.44583i | 0.847259 | − | 0.489165i | ||||
\(26\) | 2.85993 | + | 0.702638i | 0.560878 | + | 0.137799i | ||||
\(27\) | 9.16401i | 1.76361i | ||||||||
\(28\) | 3.52640 | + | 0.00473432i | 0.666427 | + | 0.000894702i | ||||
\(29\) | 1.64443 | 0.305362 | 0.152681 | − | 0.988276i | \(-0.451209\pi\) | ||||
0.152681 | + | 0.988276i | \(0.451209\pi\) | |||||||
\(30\) | 6.69147 | + | 3.86332i | 1.22169 | + | 0.705343i | ||||
\(31\) | −0.976210 | + | 3.64327i | −0.175333 | + | 0.654350i | 0.821162 | + | 0.570695i | \(0.193326\pi\) |
−0.996495 | + | 0.0836552i | \(0.973341\pi\) | |||||||
\(32\) | −5.60785 | − | 1.50262i | −0.991338 | − | 0.265628i | ||||
\(33\) | −0.395884 | − | 1.47746i | −0.0689146 | − | 0.257193i | ||||
\(34\) | −0.700755 | + | 0.700755i | −0.120178 | + | 0.120178i | ||||
\(35\) | 8.03472 | + | 2.16446i | 1.35811 | + | 0.365861i | ||||
\(36\) | − | 8.05946i | − | 1.34324i | ||||||
\(37\) | −2.66889 | + | 0.715128i | −0.438764 | + | 0.117566i | −0.471437 | − | 0.881900i | \(-0.656265\pi\) |
0.0326734 | + | 0.999466i | \(0.489598\pi\) | |||||||
\(38\) | 0.727931 | + | 1.26081i | 0.118086 | + | 0.204531i | ||||
\(39\) | −0.226498 | − | 10.8424i | −0.0362687 | − | 1.73617i | ||||
\(40\) | −7.41466 | − | 4.28086i | −1.17236 | − | 0.676863i | ||||
\(41\) | −5.55629 | − | 5.55629i | −0.867747 | − | 0.867747i | 0.124476 | − | 0.992223i | \(-0.460275\pi\) |
−0.992223 | + | 0.124476i | \(0.960275\pi\) | |||||||
\(42\) | 1.67386 | + | 6.28066i | 0.258283 | + | 0.969127i | ||||
\(43\) | 7.46499i | 1.13840i | 0.822199 | + | 0.569200i | \(0.192747\pi\) | ||||
−0.822199 | + | 0.569200i | \(0.807253\pi\) | |||||||
\(44\) | 0.175430 | + | 0.654714i | 0.0264471 | + | 0.0987019i | ||||
\(45\) | 4.92214 | − | 18.3697i | 0.733749 | − | 2.73839i | ||||
\(46\) | −1.10132 | + | 4.11018i | −0.162381 | + | 0.606013i | ||||
\(47\) | −1.26875 | − | 4.73504i | −0.185066 | − | 0.690677i | −0.994616 | − | 0.103626i | \(-0.966956\pi\) |
0.809550 | − | 0.587051i | \(-0.199711\pi\) | |||||||
\(48\) | 1.33009i | 0.191981i | ||||||||
\(49\) | 3.48371 | + | 6.07155i | 0.497673 | + | 0.867365i | ||||
\(50\) | −2.82521 | − | 2.82521i | −0.399545 | − | 0.399545i | ||||
\(51\) | 3.16045 | + | 1.82468i | 0.442551 | + | 0.255507i | ||||
\(52\) | 0.100369 | + | 4.80463i | 0.0139187 | + | 0.666282i | ||||
\(53\) | 4.30982 | + | 7.46483i | 0.591999 | + | 1.02537i | 0.993963 | + | 0.109717i | \(0.0349945\pi\) |
−0.401964 | + | 0.915656i | \(0.631672\pi\) | |||||||
\(54\) | 7.23002 | − | 1.93728i | 0.983881 | − | 0.263630i | ||||
\(55\) | 1.59941i | 0.215664i | ||||||||
\(56\) | −1.85477 | − | 6.95945i | −0.247854 | − | 0.929996i | ||||
\(57\) | 3.79090 | − | 3.79090i | 0.502117 | − | 0.502117i | ||||
\(58\) | −0.347632 | − | 1.29738i | −0.0456464 | − | 0.170355i | ||||
\(59\) | −2.41901 | − | 0.648171i | −0.314928 | − | 0.0843847i | 0.0978928 | − | 0.995197i | \(-0.468790\pi\) |
−0.412821 | + | 0.910812i | \(0.635456\pi\) | |||||||
\(60\) | −3.26333 | + | 12.1789i | −0.421293 | + | 1.57229i | ||||
\(61\) | −9.09759 | − | 5.25249i | −1.16483 | − | 0.672513i | −0.212371 | − | 0.977189i | \(-0.568118\pi\) |
−0.952456 | + | 0.304676i | \(0.901452\pi\) | |||||||
\(62\) | 3.08076 | 0.391256 | ||||||||
\(63\) | 13.8656 | − | 7.98051i | 1.74690 | − | 1.00545i | ||||
\(64\) | 3.85758i | 0.482198i | ||||||||
\(65\) | −2.70555 | + | 11.0123i | −0.335582 | + | 1.36591i | ||||
\(66\) | −1.08196 | + | 0.624671i | −0.133180 | + | 0.0768917i | ||||
\(67\) | 7.15134 | + | 1.91620i | 0.873675 | + | 0.234101i | 0.667676 | − | 0.744452i | \(-0.267289\pi\) |
0.205999 | + | 0.978552i | \(0.433956\pi\) | |||||||
\(68\) | −1.40051 | − | 0.808582i | −0.169836 | − | 0.0980550i | ||||
\(69\) | 15.6695 | 1.88638 | ||||||||
\(70\) | 0.00912470 | − | 6.79662i | 0.00109061 | − | 0.812351i | ||||
\(71\) | 0.840390 | − | 0.840390i | 0.0997360 | − | 0.0997360i | −0.655478 | − | 0.755214i | \(-0.727533\pi\) |
0.755214 | + | 0.655478i | \(0.227533\pi\) | |||||||
\(72\) | −15.8999 | + | 4.26035i | −1.87382 | + | 0.502088i | ||||
\(73\) | 2.36118 | + | 0.632677i | 0.276355 | + | 0.0740492i | 0.394335 | − | 0.918967i | \(-0.370975\pi\) |
−0.117979 | + | 0.993016i | \(0.537642\pi\) | |||||||
\(74\) | 1.12841 | + | 1.95447i | 0.131175 | + | 0.227202i | ||||
\(75\) | −7.35651 | + | 12.7419i | −0.849457 | + | 1.47130i | ||||
\(76\) | −1.67988 | + | 1.67988i | −0.192695 | + | 0.192695i | ||||
\(77\) | −0.952667 | + | 0.950113i | −0.108567 | + | 0.108275i | ||||
\(78\) | −8.50628 | + | 2.47078i | −0.963146 | + | 0.279760i | ||||
\(79\) | 6.20571 | − | 10.7486i | 0.698197 | − | 1.20931i | −0.270894 | − | 0.962609i | \(-0.587319\pi\) |
0.969091 | − | 0.246704i | \(-0.0793474\pi\) | |||||||
\(80\) | 0.359968 | − | 1.34342i | 0.0402456 | − | 0.150199i | ||||
\(81\) | −4.71154 | − | 8.16062i | −0.523504 | − | 0.906736i | ||||
\(82\) | −3.20908 | + | 5.55828i | −0.354383 | + | 0.613809i | ||||
\(83\) | −7.31472 | − | 7.31472i | −0.802894 | − | 0.802894i | 0.180653 | − | 0.983547i | \(-0.442179\pi\) |
−0.983547 | + | 0.180653i | \(0.942179\pi\) | |||||||
\(84\) | −9.19275 | + | 5.29099i | −1.00301 | + | 0.577295i | ||||
\(85\) | −2.69830 | − | 2.69830i | −0.292672 | − | 0.292672i | ||||
\(86\) | 5.88956 | − | 1.57810i | 0.635088 | − | 0.170171i | ||||
\(87\) | −4.28343 | + | 2.47304i | −0.459232 | + | 0.265137i | ||||
\(88\) | 1.19890 | − | 0.692184i | 0.127803 | − | 0.0737870i | ||||
\(89\) | 2.52599 | + | 9.42713i | 0.267755 | + | 0.999273i | 0.960543 | + | 0.278132i | \(0.0897154\pi\) |
−0.692788 | + | 0.721141i | \(0.743618\pi\) | |||||||
\(90\) | −15.5334 | −1.63737 | ||||||||
\(91\) | −8.16656 | + | 4.93024i | −0.856088 | + | 0.516830i | ||||
\(92\) | −6.94369 | −0.723930 | ||||||||
\(93\) | −2.93623 | − | 10.9582i | −0.304473 | − | 1.13631i | ||||
\(94\) | −3.46753 | + | 2.00198i | −0.357649 | + | 0.206489i | ||||
\(95\) | −4.85484 | + | 2.80295i | −0.498097 | + | 0.287576i | ||||
\(96\) | 16.8672 | − | 4.51956i | 1.72150 | − | 0.461275i | ||||
\(97\) | −2.93184 | − | 2.93184i | −0.297683 | − | 0.297683i | 0.542423 | − | 0.840106i | \(-0.317507\pi\) |
−0.840106 | + | 0.542423i | \(0.817507\pi\) | |||||||
\(98\) | 4.05374 | − | 4.03203i | 0.409490 | − | 0.407297i | ||||
\(99\) | 2.17437 | + | 2.17437i | 0.218532 | + | 0.218532i | ||||
\(100\) | 3.25993 | − | 5.64637i | 0.325993 | − | 0.564637i | ||||
\(101\) | 7.72587 | + | 13.3816i | 0.768753 | + | 1.33152i | 0.938240 | + | 0.345986i | \(0.112456\pi\) |
−0.169487 | + | 0.985532i | \(0.554211\pi\) | |||||||
\(102\) | 0.771479 | − | 2.87920i | 0.0763878 | − | 0.285083i | ||||
\(103\) | 8.75030 | − | 15.1560i | 0.862192 | − | 1.49336i | −0.00761617 | − | 0.999971i | \(-0.502424\pi\) |
0.869808 | − | 0.493390i | \(-0.164242\pi\) | |||||||
\(104\) | 9.42561 | − | 2.73781i | 0.924257 | − | 0.268464i | ||||
\(105\) | −24.1841 | + | 6.44532i | −2.36012 | + | 0.628999i | ||||
\(106\) | 4.97833 | − | 4.97833i | 0.483538 | − | 0.483538i | ||||
\(107\) | −1.06208 | + | 1.83958i | −0.102675 | + | 0.177839i | −0.912786 | − | 0.408438i | \(-0.866074\pi\) |
0.810111 | + | 0.586277i | \(0.199407\pi\) | |||||||
\(108\) | 6.10715 | + | 10.5779i | 0.587661 | + | 1.01786i | ||||
\(109\) | −10.3442 | − | 2.77172i | −0.990796 | − | 0.265483i | −0.273211 | − | 0.961954i | \(-0.588086\pi\) |
−0.717585 | + | 0.696471i | \(0.754752\pi\) | |||||||
\(110\) | 1.26187 | − | 0.338116i | 0.120314 | − | 0.0322381i | ||||
\(111\) | 5.87651 | − | 5.87651i | 0.557773 | − | 0.557773i | ||||
\(112\) | 1.01403 | − | 0.583634i | 0.0958164 | − | 0.0551482i | ||||
\(113\) | 5.21100 | 0.490210 | 0.245105 | − | 0.969497i | \(-0.421178\pi\) | ||||
0.245105 | + | 0.969497i | \(0.421178\pi\) | |||||||
\(114\) | −3.79226 | − | 2.18946i | −0.355177 | − | 0.205062i | ||||
\(115\) | −15.8265 | − | 4.24070i | −1.47583 | − | 0.395448i | ||||
\(116\) | 1.89814 | − | 1.09589i | 0.176238 | − | 0.101751i | ||||
\(117\) | 11.2929 | + | 18.6492i | 1.04403 | + | 1.72412i | ||||
\(118\) | 2.04552i | 0.188305i | ||||||||
\(119\) | 0.00430968 | − | 3.21011i | 0.000395068 | − | 0.294270i | ||||
\(120\) | 25.7518 | 2.35081 | ||||||||
\(121\) | 9.30231 | + | 5.37069i | 0.845665 | + | 0.488245i | ||||
\(122\) | −2.22076 | + | 8.28799i | −0.201058 | + | 0.750359i | ||||
\(123\) | 22.8292 | + | 6.11706i | 2.05844 | + | 0.551557i | ||||
\(124\) | 1.30115 | + | 4.85595i | 0.116846 | + | 0.436077i | ||||
\(125\) | −0.240960 | + | 0.240960i | −0.0215521 | + | 0.0215521i | ||||
\(126\) | −9.22748 | − | 9.25229i | −0.822050 | − | 0.824260i | ||||
\(127\) | − | 11.4359i | − | 1.01477i | −0.861720 | − | 0.507384i | \(-0.830613\pi\) | ||
0.861720 | − | 0.507384i | \(-0.169387\pi\) | |||||||
\(128\) | −8.17223 | + | 2.18974i | −0.722330 | + | 0.193548i | ||||
\(129\) | −11.2265 | − | 19.4449i | −0.988441 | − | 1.71203i | ||||
\(130\) | 9.26022 | − | 0.193447i | 0.812175 | − | 0.0169664i | ||||
\(131\) | 6.07972 | + | 3.51013i | 0.531188 | + | 0.306681i | 0.741500 | − | 0.670953i | \(-0.234115\pi\) |
−0.210312 | + | 0.977634i | \(0.567448\pi\) | |||||||
\(132\) | −1.44158 | − | 1.44158i | −0.125474 | − | 0.125474i | ||||
\(133\) | −4.55351 | − | 1.22666i | −0.394840 | − | 0.106365i | ||||
\(134\) | − | 6.04719i | − | 0.522398i | ||||||
\(135\) | 7.45961 | + | 27.8397i | 0.642021 | + | 2.39606i | ||||
\(136\) | −0.854858 | + | 3.19037i | −0.0733034 | + | 0.273572i | ||||
\(137\) | 1.60979 | − | 6.00784i | 0.137534 | − | 0.513284i | −0.862441 | − | 0.506158i | \(-0.831065\pi\) |
0.999975 | − | 0.00712570i | \(-0.00226820\pi\) | |||||||
\(138\) | −3.31253 | − | 12.3625i | −0.281981 | − | 1.05237i | ||||
\(139\) | 1.91666i | 0.162569i | 0.996691 | + | 0.0812847i | \(0.0259023\pi\) | ||||
−0.996691 | + | 0.0812847i | \(0.974098\pi\) | |||||||
\(140\) | 10.7168 | − | 2.85615i | 0.905737 | − | 0.241389i | ||||
\(141\) | 10.4259 | + | 10.4259i | 0.878015 | + | 0.878015i | ||||
\(142\) | −0.840691 | − | 0.485373i | −0.0705493 | − | 0.0407316i | ||||
\(143\) | −1.32332 | − | 1.26917i | −0.110662 | − | 0.106133i | ||||
\(144\) | −1.33698 | − | 2.31572i | −0.111415 | − | 0.192977i | ||||
\(145\) | 4.99565 | − | 1.33858i | 0.414866 | − | 0.111163i | ||||
\(146\) | − | 1.99662i | − | 0.165242i | ||||||
\(147\) | −18.2054 | − | 10.5762i | −1.50156 | − | 0.872307i | ||||
\(148\) | −2.60409 | + | 2.60409i | −0.214055 | + | 0.214055i | ||||
\(149\) | 0.289039 | + | 1.07871i | 0.0236790 | + | 0.0883711i | 0.976754 | − | 0.214363i | \(-0.0687674\pi\) |
−0.953075 | + | 0.302734i | \(0.902101\pi\) | |||||||
\(150\) | 11.6080 | + | 3.11034i | 0.947786 | + | 0.253958i | ||||
\(151\) | −3.41102 | + | 12.7301i | −0.277585 | + | 1.03596i | 0.676505 | + | 0.736438i | \(0.263494\pi\) |
−0.954089 | + | 0.299522i | \(0.903173\pi\) | |||||||
\(152\) | 4.20211 | + | 2.42609i | 0.340836 | + | 0.196782i | ||||
\(153\) | −7.33659 | −0.593128 | ||||||||
\(154\) | 0.950993 | + | 0.550760i | 0.0766332 | + | 0.0443815i | ||||
\(155\) | 11.8626i | 0.952831i | ||||||||
\(156\) | −7.48709 | − | 12.3642i | −0.599447 | − | 0.989932i | ||||
\(157\) | 12.0413 | − | 6.95203i | 0.960998 | − | 0.554833i | 0.0645182 | − | 0.997917i | \(-0.479449\pi\) |
0.896480 | + | 0.443084i | \(0.146116\pi\) | |||||||
\(158\) | −9.79209 | − | 2.62378i | −0.779017 | − | 0.208737i | ||||
\(159\) | −22.4526 | − | 12.9630i | −1.78061 | − | 1.02803i | ||||
\(160\) | −18.2594 | −1.44353 | ||||||||
\(161\) | −6.87567 | − | 11.9460i | −0.541879 | − | 0.941478i | ||||
\(162\) | −5.44236 | + | 5.44236i | −0.427592 | + | 0.427592i | ||||
\(163\) | 7.90791 | − | 2.11892i | 0.619396 | − | 0.165967i | 0.0645426 | − | 0.997915i | \(-0.479441\pi\) |
0.554853 | + | 0.831948i | \(0.312774\pi\) | |||||||
\(164\) | −10.1164 | − | 2.71069i | −0.789959 | − | 0.211669i | ||||
\(165\) | −2.40534 | − | 4.16617i | −0.187255 | − | 0.324336i | ||||
\(166\) | −4.22467 | + | 7.31734i | −0.327898 | + | 0.567936i | ||||
\(167\) | 1.97146 | − | 1.97146i | 0.152556 | − | 0.152556i | −0.626702 | − | 0.779259i | \(-0.715596\pi\) |
0.779259 | + | 0.626702i | \(0.215596\pi\) | |||||||
\(168\) | 15.2976 | + | 15.3387i | 1.18024 | + | 1.18341i | ||||
\(169\) | −6.96450 | − | 10.9771i | −0.535731 | − | 0.844389i | ||||
\(170\) | −1.55842 | + | 2.69927i | −0.119526 | + | 0.207024i | ||||
\(171\) | −2.78952 | + | 10.4106i | −0.213320 | + | 0.796121i | ||||
\(172\) | 4.97487 | + | 8.61674i | 0.379331 | + | 0.657020i | ||||
\(173\) | 0.901884 | − | 1.56211i | 0.0685690 | − | 0.118765i | −0.829703 | − | 0.558206i | \(-0.811490\pi\) |
0.898272 | + | 0.439441i | \(0.144823\pi\) | |||||||
\(174\) | 2.85664 | + | 2.85664i | 0.216561 | + | 0.216561i | ||||
\(175\) | 12.9421 | + | 0.0173752i | 0.978329 | + | 0.00131344i | ||||
\(176\) | 0.159017 | + | 0.159017i | 0.0119863 | + | 0.0119863i | ||||
\(177\) | 7.27586 | − | 1.94956i | 0.546887 | − | 0.146538i | ||||
\(178\) | 6.90361 | − | 3.98580i | 0.517447 | − | 0.298748i | ||||
\(179\) | 14.8199 | − | 8.55629i | 1.10769 | − | 0.639527i | 0.169462 | − | 0.985537i | \(-0.445797\pi\) |
0.938231 | + | 0.346010i | \(0.112464\pi\) | |||||||
\(180\) | −6.56050 | − | 24.4841i | −0.488991 | − | 1.82494i | ||||
\(181\) | 23.4682 | 1.74438 | 0.872190 | − | 0.489168i | \(-0.162699\pi\) | ||||
0.872190 | + | 0.489168i | \(0.162699\pi\) | |||||||
\(182\) | 5.61617 | + | 5.40082i | 0.416298 | + | 0.400335i | ||||
\(183\) | 31.5967 | 2.33570 | ||||||||
\(184\) | 3.67054 | + | 13.6986i | 0.270596 | + | 1.00988i | ||||
\(185\) | −7.52580 | + | 4.34502i | −0.553308 | + | 0.319452i | ||||
\(186\) | −8.02480 | + | 4.63312i | −0.588407 | + | 0.339717i | ||||
\(187\) | 0.595991 | − | 0.159695i | 0.0435832 | − | 0.0116781i | ||||
\(188\) | −4.62006 | − | 4.62006i | −0.336953 | − | 0.336953i | ||||
\(189\) | −12.1510 | + | 20.9811i | −0.883857 | + | 1.52615i | ||||
\(190\) | 3.23772 | + | 3.23772i | 0.234889 | + | 0.234889i | ||||
\(191\) | −12.6234 | + | 21.8644i | −0.913400 | + | 1.58206i | −0.104173 | + | 0.994559i | \(0.533220\pi\) |
−0.809227 | + | 0.587496i | \(0.800114\pi\) | |||||||
\(192\) | −5.80139 | − | 10.0483i | −0.418679 | − | 0.725174i | ||||
\(193\) | 1.38209 | − | 5.15802i | 0.0994848 | − | 0.371282i | −0.898176 | − | 0.439635i | \(-0.855108\pi\) |
0.997661 | + | 0.0683529i | \(0.0217744\pi\) | |||||||
\(194\) | −1.69330 | + | 2.93289i | −0.121572 | + | 0.210569i | ||||
\(195\) | −9.51389 | − | 32.7540i | −0.681304 | − | 2.34556i | ||||
\(196\) | 8.06745 | + | 4.68667i | 0.576247 | + | 0.334762i | ||||
\(197\) | −10.7141 | + | 10.7141i | −0.763345 | + | 0.763345i | −0.976926 | − | 0.213580i | \(-0.931487\pi\) |
0.213580 | + | 0.976926i | \(0.431487\pi\) | |||||||
\(198\) | 1.25582 | − | 2.17515i | 0.0892474 | − | 0.154581i | ||||
\(199\) | −3.59015 | − | 6.21832i | −0.254499 | − | 0.440805i | 0.710260 | − | 0.703939i | \(-0.248577\pi\) |
−0.964759 | + | 0.263134i | \(0.915244\pi\) | |||||||
\(200\) | −12.8625 | − | 3.44650i | −0.909517 | − | 0.243704i | ||||
\(201\) | −21.5097 | + | 5.76350i | −1.51718 | + | 0.406526i | ||||
\(202\) | 8.92426 | − | 8.92426i | 0.627909 | − | 0.627909i | ||||
\(203\) | 3.76493 | + | 2.18043i | 0.264246 | + | 0.153036i | ||||
\(204\) | 4.86408 | 0.340554 | ||||||||
\(205\) | −21.4025 | − | 12.3568i | −1.49482 | − | 0.863033i | ||||
\(206\) | −13.8072 | − | 3.69964i | −0.961995 | − | 0.257766i | ||||
\(207\) | −27.2810 | + | 15.7507i | −1.89616 | + | 1.09475i | ||||
\(208\) | 0.825879 | + | 1.36386i | 0.0572644 | + | 0.0945669i | ||||
\(209\) | − | 0.906432i | − | 0.0626992i | ||||||
\(210\) | 10.1976 | + | 17.7177i | 0.703702 | + | 1.22264i | ||||
\(211\) | −2.72556 | −0.187636 | −0.0938178 | − | 0.995589i | \(-0.529907\pi\) | ||||
−0.0938178 | + | 0.995589i | \(0.529907\pi\) | |||||||
\(212\) | 9.94953 | + | 5.74437i | 0.683337 | + | 0.394525i | ||||
\(213\) | −0.925207 | + | 3.45292i | −0.0633941 | + | 0.236590i | ||||
\(214\) | 1.67587 | + | 0.449049i | 0.114560 | + | 0.0306964i | ||||
\(215\) | 6.07659 | + | 22.6781i | 0.414420 | + | 1.54664i | ||||
\(216\) | 17.6399 | − | 17.6399i | 1.20025 | − | 1.20025i | ||||
\(217\) | −7.06584 | + | 7.04689i | −0.479660 | + | 0.478374i | ||||
\(218\) | 8.74709i | 0.592428i | ||||||||
\(219\) | −7.10192 | + | 1.90296i | −0.479904 | + | 0.128590i | ||||
\(220\) | 1.06589 | + | 1.84618i | 0.0718623 | + | 0.124469i | ||||
\(221\) | 4.37369 | − | 0.0913669i | 0.294206 | − | 0.00614601i | ||||
\(222\) | −5.87861 | − | 3.39402i | −0.394547 | − | 0.227792i | ||||
\(223\) | −15.3311 | − | 15.3311i | −1.02665 | − | 1.02665i | −0.999635 | − | 0.0270132i | \(-0.991400\pi\) |
−0.0270132 | − | 0.999635i | \(-0.508600\pi\) | |||||||
\(224\) | −10.8468 | − | 10.8760i | −0.724735 | − | 0.726683i | ||||
\(225\) | − | 29.5787i | − | 1.97191i | ||||||
\(226\) | −1.10161 | − | 4.11126i | −0.0732779 | − | 0.273477i | ||||
\(227\) | −4.68443 | + | 17.4825i | −0.310916 | + | 1.16036i | 0.616815 | + | 0.787108i | \(0.288423\pi\) |
−0.927732 | + | 0.373248i | \(0.878244\pi\) | |||||||
\(228\) | 1.84942 | − | 6.90214i | 0.122481 | − | 0.457105i | ||||
\(229\) | 1.11881 | + | 4.17546i | 0.0739331 | + | 0.275922i | 0.992989 | − | 0.118205i | \(-0.0377138\pi\) |
−0.919056 | + | 0.394126i | \(0.871047\pi\) | |||||||
\(230\) | 13.3829i | 0.882445i | ||||||||
\(231\) | 1.05266 | − | 3.90758i | 0.0692598 | − | 0.257100i | ||||
\(232\) | −3.16538 | − | 3.16538i | −0.207817 | − | 0.207817i | ||||
\(233\) | 8.56327 | + | 4.94400i | 0.560998 | + | 0.323892i | 0.753546 | − | 0.657395i | \(-0.228342\pi\) |
−0.192548 | + | 0.981288i | \(0.561675\pi\) | |||||||
\(234\) | 12.3261 | − | 12.8521i | 0.805784 | − | 0.840168i | ||||
\(235\) | −7.70876 | − | 13.3520i | −0.502864 | − | 0.870986i | ||||
\(236\) | −3.22419 | + | 0.863919i | −0.209877 | + | 0.0562363i | ||||
\(237\) | 37.3309i | 2.42490i | ||||||||
\(238\) | −2.53355 | + | 0.675219i | −0.164226 | + | 0.0437679i | ||||
\(239\) | −8.13735 | + | 8.13735i | −0.526361 | + | 0.526361i | −0.919485 | − | 0.393124i | \(-0.871394\pi\) |
0.393124 | + | 0.919485i | \(0.371394\pi\) | |||||||
\(240\) | 1.08271 | + | 4.04071i | 0.0698883 | + | 0.260827i | ||||
\(241\) | 14.0777 | + | 3.77210i | 0.906822 | + | 0.242982i | 0.681944 | − | 0.731405i | \(-0.261135\pi\) |
0.224878 | + | 0.974387i | \(0.427802\pi\) | |||||||
\(242\) | 2.27074 | − | 8.47450i | 0.145968 | − | 0.544762i | ||||
\(243\) | 0.736584 | + | 0.425267i | 0.0472519 | + | 0.0272809i | ||||
\(244\) | −14.0016 | −0.896362 | ||||||||
\(245\) | 15.5256 | + | 15.6092i | 0.991894 | + | 0.997235i | ||||
\(246\) | − | 19.3044i | − | 1.23080i | ||||||
\(247\) | 1.53332 | − | 6.24101i | 0.0975626 | − | 0.397106i | ||||
\(248\) | 8.89210 | − | 5.13386i | 0.564649 | − | 0.326000i | ||||
\(249\) | 30.0540 | + | 8.05296i | 1.90460 | + | 0.510335i | ||||
\(250\) | 0.241046 | + | 0.139168i | 0.0152451 | + | 0.00880177i | ||||
\(251\) | 2.29786 | 0.145040 | 0.0725198 | − | 0.997367i | \(-0.476896\pi\) | ||||
0.0725198 | + | 0.997367i | \(0.476896\pi\) | |||||||
\(252\) | 10.6865 | − | 18.4522i | 0.673183 | − | 1.16238i | ||||
\(253\) | 1.87334 | − | 1.87334i | 0.117776 | − | 0.117776i | ||||
\(254\) | −9.02241 | + | 2.41755i | −0.566116 | + | 0.151690i | ||||
\(255\) | 11.0865 | + | 2.97063i | 0.694266 | + | 0.186028i | ||||
\(256\) | 7.31281 | + | 12.6662i | 0.457051 | + | 0.791635i | ||||
\(257\) | 9.02516 | − | 15.6320i | 0.562974 | − | 0.975100i | −0.434261 | − | 0.900787i | \(-0.642990\pi\) |
0.997235 | − | 0.0743128i | \(-0.0236763\pi\) | |||||||
\(258\) | −12.9679 | + | 12.9679i | −0.807348 | + | 0.807348i | ||||
\(259\) | −7.05869 | − | 1.90153i | −0.438605 | − | 0.118155i | ||||
\(260\) | 4.21594 | + | 14.5144i | 0.261462 | + | 0.900148i | ||||
\(261\) | 4.97173 | − | 8.61128i | 0.307742 | − | 0.533025i | ||||
\(262\) | 1.48409 | − | 5.53869i | 0.0916872 | − | 0.342181i | ||||
\(263\) | −3.98168 | − | 6.89647i | −0.245521 | − | 0.425255i | 0.716757 | − | 0.697323i | \(-0.245626\pi\) |
−0.962278 | + | 0.272068i | \(0.912292\pi\) | |||||||
\(264\) | −2.08194 | + | 3.60603i | −0.128135 | + | 0.221936i | ||||
\(265\) | 19.1694 | + | 19.1694i | 1.17757 | + | 1.17757i | ||||
\(266\) | −0.00517124 | + | 3.85185i | −0.000317069 | + | 0.236172i | ||||
\(267\) | −20.7571 | − | 20.7571i | −1.27032 | − | 1.27032i | ||||
\(268\) | 9.53170 | − | 2.55401i | 0.582241 | − | 0.156011i | ||||
\(269\) | 6.97055 | − | 4.02445i | 0.425002 | − | 0.245375i | −0.272213 | − | 0.962237i | \(-0.587756\pi\) |
0.697215 | + | 0.716862i | \(0.254422\pi\) | |||||||
\(270\) | 20.3873 | − | 11.7706i | 1.24073 | − | 0.716338i | ||||
\(271\) | 5.74808 | + | 21.4521i | 0.349171 | + | 1.30312i | 0.887663 | + | 0.460494i | \(0.152328\pi\) |
−0.538492 | + | 0.842631i | \(0.681006\pi\) | |||||||
\(272\) | −0.536543 | −0.0325327 | ||||||||
\(273\) | 13.8579 | − | 25.1240i | 0.838716 | − | 1.52057i | ||||
\(274\) | −5.08024 | −0.306909 | ||||||||
\(275\) | 0.643838 | + | 2.40284i | 0.0388249 | + | 0.144897i | ||||
\(276\) | 18.0870 | − | 10.4426i | 1.08871 | − | 0.628568i | ||||
\(277\) | −1.27323 | + | 0.735098i | −0.0765008 | + | 0.0441678i | −0.537762 | − | 0.843096i | \(-0.680730\pi\) |
0.461262 | + | 0.887264i | \(0.347397\pi\) | |||||||
\(278\) | 1.51217 | − | 0.405184i | 0.0906938 | − | 0.0243013i | ||||
\(279\) | 16.1271 | + | 16.1271i | 0.965502 | + | 0.965502i | ||||
\(280\) | −11.2997 | − | 19.6325i | −0.675289 | − | 1.17327i | ||||
\(281\) | −13.2274 | − | 13.2274i | −0.789081 | − | 0.789081i | 0.192263 | − | 0.981343i | \(-0.438417\pi\) |
−0.981343 | + | 0.192263i | \(0.938417\pi\) | |||||||
\(282\) | 6.02153 | − | 10.4296i | 0.358577 | − | 0.621073i | ||||
\(283\) | 2.39327 | + | 4.14527i | 0.142265 | + | 0.246411i | 0.928349 | − | 0.371709i | \(-0.121228\pi\) |
−0.786084 | + | 0.618120i | \(0.787895\pi\) | |||||||
\(284\) | 0.409992 | − | 1.53011i | 0.0243285 | − | 0.0907954i | ||||
\(285\) | 8.43066 | − | 14.6023i | 0.499389 | − | 0.864967i | ||||
\(286\) | −0.721567 | + | 1.31235i | −0.0426671 | + | 0.0776008i | ||||
\(287\) | −5.35381 | − | 20.0885i | −0.316026 | − | 1.18579i | ||||
\(288\) | −24.8234 | + | 24.8234i | −1.46273 | + | 1.46273i | ||||
\(289\) | 7.76394 | − | 13.4475i | 0.456702 | − | 0.791032i | ||||
\(290\) | −2.11217 | − | 3.65838i | −0.124031 | − | 0.214828i | ||||
\(291\) | 12.0461 | + | 3.22773i | 0.706153 | + | 0.189213i | ||||
\(292\) | 3.14711 | − | 0.843267i | 0.184171 | − | 0.0493484i | ||||
\(293\) | −15.3136 | + | 15.3136i | −0.894628 | + | 0.894628i | −0.994955 | − | 0.100326i | \(-0.968011\pi\) |
0.100326 | + | 0.994955i | \(0.468011\pi\) | |||||||
\(294\) | −4.49552 | + | 16.5991i | −0.262184 | + | 0.968079i | ||||
\(295\) | −7.87640 | −0.458582 | ||||||||
\(296\) | 6.51395 | + | 3.76083i | 0.378616 | + | 0.218594i | ||||
\(297\) | −4.50147 | − | 1.20617i | −0.261202 | − | 0.0699888i | ||||
\(298\) | 0.789951 | − | 0.456079i | 0.0457607 | − | 0.0264199i | ||||
\(299\) | 16.0674 | − | 9.72950i | 0.929200 | − | 0.562672i | ||||
\(300\) | 19.6103i | 1.13220i | ||||||||
\(301\) | −9.89820 | + | 17.0912i | −0.570523 | + | 0.985118i | ||||
\(302\) | 10.7646 | 0.619433 | ||||||||
\(303\) | −40.2489 | − | 23.2377i | −2.31224 | − | 1.33497i | ||||
\(304\) | −0.204004 | + | 0.761355i | −0.0117005 | + | 0.0436667i | ||||
\(305\) | −31.9134 | − | 8.55118i | −1.82736 | − | 0.489639i | ||||
\(306\) | 1.55096 | + | 5.78826i | 0.0886624 | + | 0.330893i | ||||
\(307\) | 9.36619 | − | 9.36619i | 0.534556 | − | 0.534556i | −0.387369 | − | 0.921925i | \(-0.626616\pi\) |
0.921925 | + | 0.387369i | \(0.126616\pi\) | |||||||
\(308\) | −0.466470 | + | 1.73159i | −0.0265796 | + | 0.0986663i | ||||
\(309\) | 52.6380i | 2.99447i | ||||||||
\(310\) | 9.35913 | − | 2.50777i | 0.531563 | − | 0.142432i | ||||
\(311\) | −2.71082 | − | 4.69528i | −0.153716 | − | 0.266245i | 0.778874 | − | 0.627180i | \(-0.215791\pi\) |
−0.932591 | + | 0.360935i | \(0.882458\pi\) | |||||||
\(312\) | −20.4346 | + | 21.3066i | −1.15688 | + | 1.20625i | ||||
\(313\) | −18.2670 | − | 10.5464i | −1.03251 | − | 0.596120i | −0.114807 | − | 0.993388i | \(-0.536625\pi\) |
−0.917703 | + | 0.397268i | \(0.869958\pi\) | |||||||
\(314\) | −8.03039 | − | 8.03039i | −0.453181 | − | 0.453181i | ||||
\(315\) | 35.6266 | − | 35.5310i | 2.00733 | − | 2.00195i | ||||
\(316\) | − | 16.5426i | − | 0.930596i | ||||||
\(317\) | −3.98815 | − | 14.8840i | −0.223997 | − | 0.835968i | −0.982804 | − | 0.184652i | \(-0.940884\pi\) |
0.758807 | − | 0.651316i | \(-0.225783\pi\) | |||||||
\(318\) | −5.48077 | + | 20.4545i | −0.307347 | + | 1.14703i | ||||
\(319\) | −0.216439 | + | 0.807761i | −0.0121183 | + | 0.0452259i | ||||
\(320\) | 3.14012 | + | 11.7191i | 0.175538 | + | 0.655117i | ||||
\(321\) | − | 6.38902i | − | 0.356600i | ||||||
\(322\) | −7.97138 | + | 7.95001i | −0.444228 | + | 0.443036i | ||||
\(323\) | 1.52921 | + | 1.52921i | 0.0850874 | + | 0.0850874i | ||||
\(324\) | −10.8769 | − | 6.27980i | −0.604274 | − | 0.348878i | ||||
\(325\) | 0.368361 | + | 17.6333i | 0.0204330 | + | 0.978117i | ||||
\(326\) | −3.34348 | − | 5.79107i | −0.185178 | − | 0.320738i | ||||
\(327\) | 31.1131 | − | 8.33674i | 1.72056 | − | 0.461023i | ||||
\(328\) | 21.3908i | 1.18111i | ||||||||
\(329\) | 3.37361 | − | 12.5232i | 0.185993 | − | 0.690428i | ||||
\(330\) | −2.77844 | + | 2.77844i | −0.152948 | + | 0.152948i | ||||
\(331\) | −2.44797 | − | 9.13594i | −0.134552 | − | 0.502156i | −0.999999 | − | 0.00115583i | \(-0.999632\pi\) |
0.865447 | − | 0.501001i | \(-0.167035\pi\) | |||||||
\(332\) | −13.3180 | − | 3.56855i | −0.730921 | − | 0.195850i | ||||
\(333\) | −4.32421 | + | 16.1382i | −0.236965 | + | 0.884367i | ||||
\(334\) | −1.97217 | − | 1.13863i | −0.107912 | − | 0.0623031i | ||||
\(335\) | 23.2851 | 1.27220 | ||||||||
\(336\) | −1.76363 | + | 3.04525i | −0.0962138 | + | 0.166132i | ||||
\(337\) | 30.8890i | 1.68263i | 0.540545 | + | 0.841315i | \(0.318218\pi\) | ||||
−0.540545 | + | 0.841315i | \(0.681782\pi\) | |||||||
\(338\) | −7.18813 | + | 7.81525i | −0.390983 | + | 0.425094i | ||||
\(339\) | −13.5737 | + | 7.83678i | −0.737222 | + | 0.425636i | ||||
\(340\) | −4.91284 | − | 1.31639i | −0.266436 | − | 0.0713913i | ||||
\(341\) | −1.66113 | − | 0.959052i | −0.0899551 | − | 0.0519356i | ||||
\(342\) | 8.80326 | 0.476026 | ||||||||
\(343\) | −0.0745920 | + | 18.5201i | −0.00402759 | + | 0.999992i | ||||
\(344\) | 14.3695 | − | 14.3695i | 0.774750 | − | 0.774750i | ||||
\(345\) | 47.6028 | − | 12.7551i | 2.56285 | − | 0.686713i | ||||
\(346\) | −1.42310 | − | 0.381318i | −0.0765062 | − | 0.0204998i | ||||
\(347\) | −5.48714 | − | 9.50400i | −0.294565 | − | 0.510201i | 0.680319 | − | 0.732916i | \(-0.261841\pi\) |
−0.974884 | + | 0.222715i | \(0.928508\pi\) | |||||||
\(348\) | −3.29620 | + | 5.70919i | −0.176695 | + | 0.306045i | ||||
\(349\) | −14.1593 | + | 14.1593i | −0.757930 | + | 0.757930i | −0.975945 | − | 0.218015i | \(-0.930042\pi\) |
0.218015 | + | 0.975945i | \(0.430042\pi\) | |||||||
\(350\) | −2.72226 | − | 10.2144i | −0.145511 | − | 0.545984i | ||||
\(351\) | −28.9534 | − | 15.9194i | −1.54542 | − | 0.849716i | ||||
\(352\) | 1.47621 | − | 2.55687i | 0.0786822 | − | 0.136282i | ||||
\(353\) | 4.93709 | − | 18.4255i | 0.262775 | − | 0.980688i | −0.700824 | − | 0.713334i | \(-0.747184\pi\) |
0.963598 | − | 0.267354i | \(-0.0861493\pi\) | |||||||
\(354\) | −3.07624 | − | 5.32820i | −0.163500 | − | 0.283191i | ||||
\(355\) | 1.86896 | − | 3.23714i | 0.0991942 | − | 0.171809i | ||||
\(356\) | 9.19822 | + | 9.19822i | 0.487504 | + | 0.487504i | ||||
\(357\) | 4.81643 | + | 8.36823i | 0.254913 | + | 0.442894i | ||||
\(358\) | −9.88349 | − | 9.88349i | −0.522359 | − | 0.522359i | ||||
\(359\) | 27.0728 | − | 7.25413i | 1.42885 | − | 0.382858i | 0.540233 | − | 0.841515i | \(-0.318336\pi\) |
0.888613 | + | 0.458657i | \(0.151669\pi\) | |||||||
\(360\) | −44.8347 | + | 25.8853i | −2.36300 | + | 1.36428i | ||||
\(361\) | −13.7031 | + | 7.91149i | −0.721216 | + | 0.416394i | ||||
\(362\) | −4.96120 | − | 18.5154i | −0.260755 | − | 0.973150i | ||||
\(363\) | −32.3078 | −1.69572 | ||||||||
\(364\) | −6.14091 | + | 11.1333i | −0.321871 | + | 0.583545i | ||||
\(365\) | 7.68812 | 0.402414 | ||||||||
\(366\) | −6.67957 | − | 24.9285i | −0.349147 | − | 1.30303i | ||||
\(367\) | 14.4837 | − | 8.36218i | 0.756044 | − | 0.436502i | −0.0718297 | − | 0.997417i | \(-0.522884\pi\) |
0.827874 | + | 0.560915i | \(0.189550\pi\) | |||||||
\(368\) | −1.99513 | + | 1.15189i | −0.104003 | + | 0.0600463i | ||||
\(369\) | −45.8951 | + | 12.2976i | −2.38921 | + | 0.640186i | ||||
\(370\) | 5.01900 | + | 5.01900i | 0.260925 | + | 0.260925i | ||||
\(371\) | −0.0306170 | + | 22.8054i | −0.00158956 | + | 1.18400i | ||||
\(372\) | −10.6921 | − | 10.6921i | −0.554358 | − | 0.554358i | ||||
\(373\) | −8.19490 | + | 14.1940i | −0.424316 | + | 0.734937i | −0.996356 | − | 0.0852887i | \(-0.972819\pi\) |
0.572040 | + | 0.820226i | \(0.306152\pi\) | |||||||
\(374\) | −0.251986 | − | 0.436452i | −0.0130299 | − | 0.0225684i | ||||
\(375\) | 0.265279 | − | 0.990035i | 0.0136990 | − | 0.0511252i | ||||
\(376\) | −6.67231 | + | 11.5568i | −0.344098 | + | 0.595996i | ||||
\(377\) | −2.85664 | + | 5.19551i | −0.147125 | + | 0.267582i | ||||
\(378\) | 19.1219 | + | 5.15123i | 0.983526 | + | 0.264951i | ||||
\(379\) | 2.80924 | − | 2.80924i | 0.144301 | − | 0.144301i | −0.631266 | − | 0.775567i | \(-0.717464\pi\) |
0.775567 | + | 0.631266i | \(0.217464\pi\) | |||||||
\(380\) | −3.73592 | + | 6.47081i | −0.191649 | + | 0.331945i | ||||
\(381\) | 17.1983 | + | 29.7883i | 0.881095 | + | 1.52610i | ||||
\(382\) | 19.9187 | + | 5.33721i | 1.01913 | + | 0.273075i | ||||
\(383\) | 37.4573 | − | 10.0367i | 1.91398 | − | 0.512849i | 0.921867 | − | 0.387508i | \(-0.126664\pi\) |
0.992114 | − | 0.125342i | \(-0.0400028\pi\) | |||||||
\(384\) | 17.9940 | − | 17.9940i | 0.918255 | − | 0.918255i | ||||
\(385\) | −2.12074 | + | 3.66186i | −0.108083 | + | 0.186626i | ||||
\(386\) | −4.36163 | −0.222001 | ||||||||
\(387\) | 39.0915 | + | 22.5695i | 1.98713 | + | 1.14727i | ||||
\(388\) | −5.33804 | − | 1.43032i | −0.270998 | − | 0.0726137i | ||||
\(389\) | 4.22632 | − | 2.44006i | 0.214283 | − | 0.123716i | −0.389017 | − | 0.921230i | \(-0.627185\pi\) |
0.603300 | + | 0.797514i | \(0.293852\pi\) | |||||||
\(390\) | −23.8303 | + | 14.4303i | −1.20669 | + | 0.730705i | ||||
\(391\) | 6.32089i | 0.319661i | ||||||||
\(392\) | 4.98138 | − | 18.3931i | 0.251598 | − | 0.928990i | ||||
\(393\) | −21.1154 | −1.06513 | ||||||||
\(394\) | 10.7179 | + | 6.18798i | 0.539960 | + | 0.311746i | ||||
\(395\) | 10.1030 | − | 37.7051i | 0.508339 | − | 1.89715i | ||||
\(396\) | 3.95890 | + | 1.06079i | 0.198942 | + | 0.0533065i | ||||
\(397\) | −8.19329 | − | 30.5778i | −0.411210 | − | 1.53466i | −0.792308 | − | 0.610121i | \(-0.791121\pi\) |
0.381099 | − | 0.924534i | \(-0.375546\pi\) | |||||||
\(398\) | −4.14703 | + | 4.14703i | −0.207872 | + | 0.207872i | ||||
\(399\) | 13.7058 | − | 3.65275i | 0.686150 | − | 0.182866i | ||||
\(400\) | − | 2.16316i | − | 0.108158i | ||||||
\(401\) | −9.34436 | + | 2.50381i | −0.466635 | + | 0.125035i | −0.484473 | − | 0.874806i | \(-0.660989\pi\) |
0.0178375 | + | 0.999841i | \(0.494322\pi\) | |||||||
\(402\) | 9.09432 | + | 15.7518i | 0.453583 | + | 0.785630i | ||||
\(403\) | −9.81495 | − | 9.41327i | −0.488918 | − | 0.468908i | ||||
\(404\) | 17.8357 | + | 10.2975i | 0.887361 | + | 0.512318i | ||||
\(405\) | −20.9562 | − | 20.9562i | −1.04132 | − | 1.04132i | ||||
\(406\) | 0.924356 | − | 3.43131i | 0.0458750 | − | 0.170293i | ||||
\(407\) | − | 1.40512i | − | 0.0696491i | ||||||
\(408\) | −2.57123 | − | 9.59595i | −0.127295 | − | 0.475070i | ||||
\(409\) | 3.09562 | − | 11.5530i | 0.153068 | − | 0.571259i | −0.846195 | − | 0.532874i | \(-0.821112\pi\) |
0.999263 | − | 0.0383851i | \(-0.0122214\pi\) | |||||||
\(410\) | −5.22445 | + | 19.4979i | −0.258017 | + | 0.962933i | ||||
\(411\) | 4.84191 | + | 18.0703i | 0.238834 | + | 0.891341i | ||||
\(412\) | − | 23.3258i | − | 1.14918i | ||||||
\(413\) | −4.67890 | − | 4.69148i | −0.230234 | − | 0.230853i | ||||
\(414\) | 18.1939 | + | 18.1939i | 0.894180 | + | 0.894180i | ||||
\(415\) | −28.1759 | − | 16.2674i | −1.38310 | − | 0.798533i | ||||
\(416\) | 14.4893 | − | 15.1075i | 0.710394 | − | 0.740708i | ||||
\(417\) | −2.88246 | − | 4.99256i | −0.141155 | − | 0.244487i | ||||
\(418\) | −0.715137 | + | 0.191620i | −0.0349785 | + | 0.00937246i | ||||
\(419\) | − | 18.5355i | − | 0.905516i | −0.891633 | − | 0.452758i | \(-0.850440\pi\) | ||
0.891633 | − | 0.452758i | \(-0.149560\pi\) | |||||||
\(420\) | −23.6200 | + | 23.5567i | −1.15254 | + | 1.14945i | ||||
\(421\) | 19.2884 | − | 19.2884i | 0.940060 | − | 0.940060i | −0.0582422 | − | 0.998302i | \(-0.518550\pi\) |
0.998302 | + | 0.0582422i | \(0.0185496\pi\) | |||||||
\(422\) | 0.576186 | + | 2.15036i | 0.0280483 | + | 0.104678i | ||||
\(423\) | −28.6317 | − | 7.67184i | −1.39212 | − | 0.373017i | ||||
\(424\) | 6.07312 | − | 22.6652i | 0.294937 | − | 1.10072i | ||||
\(425\) | −5.13993 | − | 2.96754i | −0.249323 | − | 0.143947i | ||||
\(426\) | 2.91980 | 0.141465 | ||||||||
\(427\) | −13.8645 | − | 24.0886i | −0.670948 | − | 1.16573i | ||||
\(428\) | 2.83120i | 0.136851i | ||||||||
\(429\) | 5.35570 | + | 1.31581i | 0.258576 | + | 0.0635279i | ||||
\(430\) | 16.6075 | − | 9.58834i | 0.800884 | − | 0.462391i | ||||
\(431\) | 8.84924 | + | 2.37115i | 0.426253 | + | 0.114214i | 0.465567 | − | 0.885013i | \(-0.345851\pi\) |
−0.0393138 | + | 0.999227i | \(0.512517\pi\) | |||||||
\(432\) | 3.50953 | + | 2.02623i | 0.168852 | + | 0.0974870i | ||||
\(433\) | 23.6700 | 1.13751 | 0.568755 | − | 0.822507i | \(-0.307425\pi\) | ||||
0.568755 | + | 0.822507i | \(0.307425\pi\) | |||||||
\(434\) | 7.05342 | + | 4.08493i | 0.338575 | + | 0.196083i | ||||
\(435\) | −10.9997 | + | 10.9997i | −0.527394 | + | 0.527394i | ||||
\(436\) | −13.7873 | + | 3.69431i | −0.660294 | + | 0.176925i | ||||
\(437\) | 8.96936 | + | 2.40333i | 0.429063 | + | 0.114967i | ||||
\(438\) | 3.00270 | + | 5.20083i | 0.143475 | + | 0.248505i | ||||
\(439\) | −5.64906 | + | 9.78446i | −0.269615 | + | 0.466987i | −0.968762 | − | 0.247991i | \(-0.920230\pi\) |
0.699148 | + | 0.714977i | \(0.253563\pi\) | |||||||
\(440\) | 3.07872 | − | 3.07872i | 0.146772 | − | 0.146772i | ||||
\(441\) | 42.3272 | + | 0.113652i | 2.01558 | + | 0.00541198i | ||||
\(442\) | −0.996685 | − | 3.43134i | −0.0474075 | − | 0.163212i | ||||
\(443\) | −19.5144 | + | 33.7999i | −0.927157 | + | 1.60588i | −0.139103 | + | 0.990278i | \(0.544422\pi\) |
−0.788054 | + | 0.615606i | \(0.788911\pi\) | |||||||
\(444\) | 2.86691 | − | 10.6994i | 0.136057 | − | 0.507773i | ||||
\(445\) | 15.3476 | + | 26.5828i | 0.727545 | + | 1.26015i | ||||
\(446\) | −8.85460 | + | 15.3366i | −0.419278 | + | 0.726210i | ||||
\(447\) | −2.37515 | − | 2.37515i | −0.112341 | − | 0.112341i | ||||
\(448\) | −5.11497 | + | 8.83198i | −0.241659 | + | 0.417272i | ||||
\(449\) | −8.82288 | − | 8.82288i | −0.416378 | − | 0.416378i | 0.467576 | − | 0.883953i | \(-0.345128\pi\) |
−0.883953 | + | 0.467576i | \(0.845128\pi\) | |||||||
\(450\) | −23.3363 | + | 6.25295i | −1.10008 | + | 0.294767i | ||||
\(451\) | 3.46063 | − | 1.99800i | 0.162955 | − | 0.0940820i | ||||
\(452\) | 6.01499 | − | 3.47276i | 0.282921 | − | 0.163345i | ||||
\(453\) | −10.2596 | − | 38.2894i | −0.482038 | − | 1.79899i | ||||
\(454\) | 14.7833 | 0.693813 | ||||||||
\(455\) | −20.7962 | + | 21.6254i | −0.974941 | + | 1.01381i | ||||
\(456\) | −14.5943 | −0.683441 | ||||||||
\(457\) | 5.91700 | + | 22.0825i | 0.276786 | + | 1.03298i | 0.954635 | + | 0.297777i | \(0.0962453\pi\) |
−0.677850 | + | 0.735200i | \(0.737088\pi\) | |||||||
\(458\) | 3.05774 | − | 1.76539i | 0.142879 | − | 0.0824912i | ||||
\(459\) | 9.62914 | − | 5.55938i | 0.449450 | − | 0.259490i | ||||
\(460\) | −21.0945 | + | 5.65224i | −0.983534 | + | 0.263537i | ||||
\(461\) | −7.67189 | − | 7.67189i | −0.357316 | − | 0.357316i | 0.505507 | − | 0.862823i | \(-0.331306\pi\) |
−0.862823 | + | 0.505507i | \(0.831306\pi\) | |||||||
\(462\) | −3.30545 | − | 0.00443768i | −0.153783 | − | 0.000206459i | ||||
\(463\) | 14.0571 | + | 14.0571i | 0.653289 | + | 0.653289i | 0.953783 | − | 0.300495i | \(-0.0971518\pi\) |
−0.300495 | + | 0.953783i | \(0.597152\pi\) | |||||||
\(464\) | 0.363594 | − | 0.629764i | 0.0168794 | − | 0.0292361i | ||||
\(465\) | −17.8401 | − | 30.9000i | −0.827317 | − | 1.43295i | ||||
\(466\) | 2.09033 | − | 7.80122i | 0.0968327 | − | 0.361385i | ||||
\(467\) | 4.96276 | − | 8.59575i | 0.229649 | − | 0.397764i | −0.728055 | − | 0.685519i | \(-0.759576\pi\) |
0.957704 | + | 0.287755i | \(0.0929088\pi\) | |||||||
\(468\) | 25.4636 | + | 14.0006i | 1.17706 | + | 0.647180i | ||||
\(469\) | 13.8323 | + | 13.8695i | 0.638715 | + | 0.640433i | ||||
\(470\) | −8.90450 | + | 8.90450i | −0.410734 | + | 0.410734i | ||||
\(471\) | −20.9102 | + | 36.2176i | −0.963492 | + | 1.66882i | ||||
\(472\) | 3.40871 | + | 5.90406i | 0.156899 | + | 0.271756i | ||||
\(473\) | −3.66689 | − | 0.982540i | −0.168604 | − | 0.0451772i | ||||
\(474\) | 29.4525 | − | 7.89177i | 1.35280 | − | 0.362481i | ||||
\(475\) | −6.16525 | + | 6.16525i | −0.282881 | + | 0.282881i | ||||
\(476\) | −2.13433 | − | 3.70826i | −0.0978269 | − | 0.169968i | ||||
\(477\) | 52.1209 | 2.38645 | ||||||||
\(478\) | 8.14026 | + | 4.69978i | 0.372327 | + | 0.214963i | ||||
\(479\) | 20.3767 | + | 5.45991i | 0.931034 | + | 0.249470i | 0.692295 | − | 0.721614i | \(-0.256600\pi\) |
0.238738 | + | 0.971084i | \(0.423266\pi\) | |||||||
\(480\) | 47.5625 | − | 27.4602i | 2.17092 | − | 1.25338i | ||||
\(481\) | 2.37689 | − | 9.67459i | 0.108377 | − | 0.441123i | ||||
\(482\) | − | 11.9041i | − | 0.542217i | ||||||
\(483\) | 35.8754 | + | 20.7769i | 1.63239 | + | 0.945383i | ||||
\(484\) | 14.3167 | 0.650760 | ||||||||
\(485\) | −11.2933 | − | 6.52018i | −0.512801 | − | 0.296066i | ||||
\(486\) | 0.179803 | − | 0.671035i | 0.00815605 | − | 0.0304388i | ||||
\(487\) | −42.3475 | − | 11.3470i | −1.91895 | − | 0.514181i | −0.989338 | − | 0.145637i | \(-0.953477\pi\) |
−0.929610 | − | 0.368544i | \(-0.879856\pi\) | |||||||
\(488\) | 7.40147 | + | 27.6227i | 0.335049 | + | 1.25042i | ||||
\(489\) | −17.4120 | + | 17.4120i | −0.787400 | + | 0.787400i | ||||
\(490\) | 9.03287 | − | 15.5488i | 0.408064 | − | 0.702424i | ||||
\(491\) | − | 37.1276i | − | 1.67554i | −0.546021 | − | 0.837772i | \(-0.683858\pi\) | ||
0.546021 | − | 0.837772i | \(-0.316142\pi\) | |||||||
\(492\) | 30.4280 | − | 8.15316i | 1.37180 | − | 0.367573i | ||||
\(493\) | −0.997597 | − | 1.72789i | −0.0449295 | − | 0.0778202i | ||||
\(494\) | −5.24804 | + | 0.109632i | −0.236121 | + | 0.00493259i | ||||
\(495\) | 8.37555 | + | 4.83562i | 0.376453 | + | 0.217345i | ||||
\(496\) | 1.17941 | + | 1.17941i | 0.0529571 | + | 0.0529571i | ||||
\(497\) | 3.03840 | − | 0.809766i | 0.136291 | − | 0.0363230i | ||||
\(498\) | − | 25.4138i | − | 1.13882i | ||||||
\(499\) | −1.38618 | − | 5.17328i | −0.0620538 | − | 0.231588i | 0.927933 | − | 0.372747i | \(-0.121584\pi\) |
−0.989987 | + | 0.141159i | \(0.954917\pi\) | |||||||
\(500\) | −0.117555 | + | 0.438720i | −0.00525720 | + | 0.0196201i | ||||
\(501\) | −2.17043 | + | 8.10016i | −0.0969677 | + | 0.361888i | ||||
\(502\) | −0.485769 | − | 1.81292i | −0.0216809 | − | 0.0809144i | ||||
\(503\) | 27.7355i | 1.23666i | 0.785917 | + | 0.618332i | \(0.212191\pi\) | ||||
−0.785917 | + | 0.618332i | \(0.787809\pi\) | |||||||
\(504\) | −42.0519 | − | 11.3283i | −1.87314 | − | 0.504603i | ||||
\(505\) | 34.3634 | + | 34.3634i | 1.52915 | + | 1.52915i | ||||
\(506\) | −1.87401 | − | 1.08196i | −0.0833101 | − | 0.0480991i | ||||
\(507\) | 34.6496 | + | 18.1194i | 1.53884 | + | 0.804709i | ||||
\(508\) | −7.62117 | − | 13.2003i | −0.338135 | − | 0.585667i | ||||
\(509\) | −29.2382 | + | 7.83435i | −1.29596 | + | 0.347252i | −0.839921 | − | 0.542708i | \(-0.817399\pi\) |
−0.456039 | + | 0.889960i | \(0.650732\pi\) | |||||||
\(510\) | − | 9.37480i | − | 0.415123i | ||||||
\(511\) | 4.56705 | + | 4.57933i | 0.202034 | + | 0.202578i | ||||
\(512\) | −3.51784 | + | 3.51784i | −0.155468 | + | 0.155468i | ||||
\(513\) | −4.22758 | − | 15.7776i | −0.186652 | − | 0.696596i | ||||
\(514\) | −14.2409 | − | 3.81585i | −0.628141 | − | 0.168310i | ||||
\(515\) | 14.2457 | − | 53.1656i | 0.627740 | − | 2.34276i | ||||
\(516\) | −25.9173 | − | 14.9633i | −1.14094 | − | 0.658725i | ||||
\(517\) | 2.49290 | 0.109638 | ||||||||
\(518\) | −0.00801626 | + | 5.97099i | −0.000352214 | + | 0.262350i | ||||
\(519\) | 5.42535i | 0.238146i | ||||||||
\(520\) | 26.4058 | − | 15.9898i | 1.15797 | − | 0.701201i | ||||
\(521\) | −36.7196 | + | 21.2001i | −1.60872 | + | 0.928792i | −0.619057 | + | 0.785346i | \(0.712485\pi\) |
−0.989658 | + | 0.143446i | \(0.954182\pi\) | |||||||
\(522\) | −7.84496 | − | 2.10205i | −0.343365 | − | 0.0920043i | ||||
\(523\) | −3.60227 | − | 2.07977i | −0.157516 | − | 0.0909420i | 0.419170 | − | 0.907908i | \(-0.362321\pi\) |
−0.576686 | + | 0.816966i | \(0.695654\pi\) | |||||||
\(524\) | 9.35699 | 0.408762 | ||||||||
\(525\) | −33.7379 | + | 19.4182i | −1.47244 | + | 0.847481i | ||||
\(526\) | −4.59929 | + | 4.59929i | −0.200539 | + | 0.200539i | ||||
\(527\) | 4.42040 | − | 1.18444i | 0.192556 | − | 0.0515952i | ||||
\(528\) | −0.653354 | − | 0.175066i | −0.0284336 | − | 0.00761876i | ||||
\(529\) | 2.07015 | + | 3.58560i | 0.0900064 | + | 0.155896i | ||||
\(530\) | 11.0714 | − | 19.1763i | 0.480912 | − | 0.832964i | ||||
\(531\) | −10.7078 | + | 10.7078i | −0.464681 | + | 0.464681i | ||||
\(532\) | −6.07354 | + | 1.61866i | −0.263321 | + | 0.0701780i | ||||
\(533\) | 27.2071 | − | 7.90273i | 1.17847 | − | 0.342305i | ||||
\(534\) | −11.9884 | + | 20.7646i | −0.518790 | + | 0.898571i | ||||
\(535\) | −1.72909 | + | 6.45306i | −0.0747552 | + | 0.278990i | ||||
\(536\) | −10.0772 | − | 17.4542i | −0.435269 | − | 0.753908i | ||||
\(537\) | −25.7355 | + | 44.5751i | −1.11057 | + | 1.92356i | ||||
\(538\) | −4.64870 | − | 4.64870i | −0.200420 | − | 0.200420i | ||||
\(539\) | −3.44094 | + | 0.912103i | −0.148212 | + | 0.0392870i | ||||
\(540\) | 27.1636 | + | 27.1636i | 1.16894 | + | 1.16894i | ||||
\(541\) | −40.4410 | + | 10.8361i | −1.73869 | + | 0.465882i | −0.982156 | − | 0.188068i | \(-0.939777\pi\) |
−0.756538 | + | 0.653950i | \(0.773111\pi\) | |||||||
\(542\) | 15.7097 | − | 9.06999i | 0.674789 | − | 0.389589i | ||||
\(543\) | −61.1304 | + | 35.2937i | −2.62336 | + | 1.51460i | ||||
\(544\) | 1.82314 | + | 6.80405i | 0.0781665 | + | 0.291721i | ||||
\(545\) | −33.6812 | −1.44275 | ||||||||
\(546\) | −22.7513 | − | 5.62203i | −0.973667 | − | 0.240601i | ||||
\(547\) | −13.4403 | −0.574667 | −0.287334 | − | 0.957831i | \(-0.592769\pi\) | ||||
−0.287334 | + | 0.957831i | \(0.592769\pi\) | |||||||
\(548\) | −2.14562 | − | 8.00758i | −0.0916565 | − | 0.342067i | ||||
\(549\) | −55.0110 | + | 31.7606i | −2.34781 | + | 1.35551i | ||||
\(550\) | 1.75963 | − | 1.01592i | 0.0750308 | − | 0.0433191i | ||||
\(551\) | −2.83118 | + | 0.758614i | −0.120613 | + | 0.0323180i | ||||
\(552\) | −30.1624 | − | 30.1624i | −1.28380 | − | 1.28380i | ||||
\(553\) | 28.4602 | − | 16.3806i | 1.21025 | − | 0.696573i | ||||
\(554\) | 0.849123 | + | 0.849123i | 0.0360758 | + | 0.0360758i | ||||
\(555\) | 13.0689 | − | 22.6360i | 0.554743 | − | 0.960844i | ||||
\(556\) | 1.27732 | + | 2.21238i | 0.0541704 | + | 0.0938258i | ||||
\(557\) | 5.40317 | − | 20.1649i | 0.228940 | − | 0.854415i | −0.751848 | − | 0.659337i | \(-0.770837\pi\) |
0.980788 | − | 0.195078i | \(-0.0624961\pi\) | |||||||
\(558\) | 9.31430 | − | 16.1328i | 0.394306 | − | 0.682958i | ||||
\(559\) | −23.5854 | − | 12.9679i | −0.997556 | − | 0.548485i | ||||
\(560\) | 2.60546 | − | 2.59847i | 0.110101 | − | 0.109805i | ||||
\(561\) | −1.31228 | + | 1.31228i | −0.0554047 | + | 0.0554047i | ||||
\(562\) | −7.63958 | + | 13.2321i | −0.322256 | + | 0.558164i | ||||
\(563\) | 13.5788 | + | 23.5192i | 0.572278 | + | 0.991215i | 0.996331 | + | 0.0855779i | \(0.0272737\pi\) |
−0.424053 | + | 0.905637i | \(0.639393\pi\) | |||||||
\(564\) | 18.9825 | + | 5.08635i | 0.799308 | + | 0.214174i | ||||
\(565\) | 15.8307 | − | 4.24181i | 0.666001 | − | 0.178454i | ||||
\(566\) | 2.76450 | − | 2.76450i | 0.116201 | − | 0.116201i | ||||
\(567\) | 0.0334708 | − | 24.9311i | 0.00140564 | − | 1.04701i | ||||
\(568\) | −3.23536 | −0.135753 | ||||||||
\(569\) | −10.6066 | − | 6.12370i | −0.444650 | − | 0.256719i | 0.260918 | − | 0.965361i | \(-0.415975\pi\) |
−0.705568 | + | 0.708642i | \(0.749308\pi\) | |||||||
\(570\) | −13.3029 | − | 3.56449i | −0.557196 | − | 0.149300i | ||||
\(571\) | −4.06355 | + | 2.34609i | −0.170054 | + | 0.0981809i | −0.582611 | − | 0.812751i | \(-0.697969\pi\) |
0.412557 | + | 0.910932i | \(0.364636\pi\) | |||||||
\(572\) | −2.37330 | − | 0.583082i | −0.0992327 | − | 0.0243799i | ||||
\(573\) | − | 75.9372i | − | 3.17232i | ||||||
\(574\) | −14.7172 | + | 8.47066i | −0.614285 | + | 0.353559i | ||||
\(575\) | −25.4837 | −1.06274 | ||||||||
\(576\) | 20.2008 | + | 11.6630i | 0.841701 | + | 0.485956i | ||||
\(577\) | −4.41741 | + | 16.4860i | −0.183899 | + | 0.686321i | 0.810964 | + | 0.585095i | \(0.198943\pi\) |
−0.994864 | + | 0.101225i | \(0.967724\pi\) | |||||||
\(578\) | −12.2508 | − | 3.28260i | −0.509568 | − | 0.136538i | ||||
\(579\) | 4.15702 | + | 15.5142i | 0.172760 | + | 0.644749i | ||||
\(580\) | 4.87435 | − | 4.87435i | 0.202396 | − | 0.202396i | ||||
\(581\) | −7.04816 | − | 26.4461i | −0.292407 | − | 1.09717i | ||||
\(582\) | − | 10.1862i | − | 0.422231i | ||||||
\(583\) | −4.23407 | + | 1.13452i | −0.175357 | + | 0.0469868i | ||||
\(584\) | −3.32722 | − | 5.76292i | −0.137682 | − | 0.238471i | ||||
\(585\) | 49.4878 | + | 47.4625i | 2.04607 | + | 1.96233i | ||||
\(586\) | 15.3191 | + | 8.84446i | 0.632824 | + | 0.365361i | ||||
\(587\) | −6.21734 | − | 6.21734i | −0.256617 | − | 0.256617i | 0.567060 | − | 0.823677i | \(-0.308081\pi\) |
−0.823677 | + | 0.567060i | \(0.808081\pi\) | |||||||
\(588\) | −28.0625 | − | 0.0753499i | −1.15728 | − | 0.00310738i | ||||
\(589\) | − | 6.72291i | − | 0.277013i | ||||||
\(590\) | 1.66508 | + | 6.21415i | 0.0685501 | + | 0.255833i | ||||
\(591\) | 11.7954 | − | 44.0210i | 0.485197 | − | 1.81078i | ||||
\(592\) | −0.316240 | + | 1.18022i | −0.0129974 | + | 0.0485069i | ||||
\(593\) | 10.0703 | + | 37.5829i | 0.413538 | + | 1.54334i | 0.787747 | + | 0.615999i | \(0.211248\pi\) |
−0.374209 | + | 0.927344i | \(0.622086\pi\) | |||||||
\(594\) | 3.80645i | 0.156181i | ||||||||
\(595\) | −2.59997 | − | 9.75560i | −0.106589 | − | 0.399941i | ||||
\(596\) | 1.05251 | + | 1.05251i | 0.0431127 | + | 0.0431127i | ||||
\(597\) | 18.7034 | + | 10.7984i | 0.765478 | + | 0.441949i | ||||
\(598\) | −11.0728 | − | 10.6197i | −0.452801 | − | 0.434270i | ||||
\(599\) | 17.4902 | + | 30.2939i | 0.714629 | + | 1.23777i | 0.963103 | + | 0.269135i | \(0.0867377\pi\) |
−0.248474 | + | 0.968639i | \(0.579929\pi\) | |||||||
\(600\) | 38.6876 | − | 10.3663i | 1.57942 | − | 0.423203i | ||||
\(601\) | 11.7882i | 0.480852i | 0.970667 | + | 0.240426i | \(0.0772872\pi\) | ||||
−0.970667 | + | 0.240426i | \(0.922713\pi\) | |||||||
\(602\) | 15.5767 | + | 4.19618i | 0.634859 | + | 0.171024i | ||||
\(603\) | 31.6557 | − | 31.6557i | 1.28912 | − | 1.28912i | ||||
\(604\) | 4.54639 | + | 16.9674i | 0.184990 | + | 0.690393i | ||||
\(605\) | 32.6316 | + | 8.74361i | 1.32666 | + | 0.355478i | ||||
\(606\) | −9.82494 | + | 36.6672i | −0.399111 | + | 1.48950i | ||||
\(607\) | 16.5407 | + | 9.54978i | 0.671366 | + | 0.387614i | 0.796594 | − | 0.604514i | \(-0.206633\pi\) |
−0.125228 | + | 0.992128i | \(0.539966\pi\) | |||||||
\(608\) | 10.3482 | 0.419673 | ||||||||
\(609\) | −13.0861 | − | 0.0175685i | −0.530274 | − | 0.000711912i | ||||
\(610\) | 26.9861i | 1.09263i | ||||||||
\(611\) | 17.1643 | + | 4.21698i | 0.694391 | + | 0.170601i | ||||
\(612\) | −8.46853 | + | 4.88931i | −0.342320 | + | 0.197638i | ||||
\(613\) | 24.5517 | + | 6.57860i | 0.991632 | + | 0.265707i | 0.717936 | − | 0.696109i | \(-0.245087\pi\) |
0.273696 | + | 0.961816i | \(0.411754\pi\) | |||||||
\(614\) | −9.36954 | − | 5.40951i | −0.378124 | − | 0.218310i | ||||
\(615\) | 74.3329 | 2.99739 | ||||||||
\(616\) | 3.66269 | + | 0.00491729i | 0.147574 | + | 0.000198123i | ||||
\(617\) | −10.4089 | + | 10.4089i | −0.419046 | + | 0.419046i | −0.884875 | − | 0.465829i | \(-0.845756\pi\) |
0.465829 | + | 0.884875i | \(0.345756\pi\) | |||||||
\(618\) | 41.5292 | − | 11.1277i | 1.67055 | − | 0.447622i | ||||
\(619\) | −30.7106 | − | 8.22887i | −1.23436 | − | 0.330746i | −0.418085 | − | 0.908408i | \(-0.637299\pi\) |
−0.816276 | + | 0.577661i | \(0.803965\pi\) | |||||||
\(620\) | 7.90560 | + | 13.6929i | 0.317496 | + | 0.549920i | ||||
\(621\) | 23.8706 | − | 41.3451i | 0.957893 | − | 1.65912i | ||||
\(622\) | −3.13131 | + | 3.13131i | −0.125554 | + | 0.125554i | ||||
\(623\) | −6.71662 | + | 24.9328i | −0.269096 | + | 0.998913i | ||||
\(624\) | −4.20237 | − | 2.31058i | −0.168229 | − | 0.0924973i | ||||
\(625\) | −12.7650 | + | 22.1096i | −0.510600 | + | 0.884385i | ||||
\(626\) | −4.45905 | + | 16.6414i | −0.178219 | + | 0.665124i | ||||
\(627\) | 1.36318 | + | 2.36109i | 0.0544400 | + | 0.0942929i | ||||
\(628\) | 9.26606 | − | 16.0493i | 0.369756 | − | 0.640436i | ||||
\(629\) | 2.37052 | + | 2.37052i | 0.0945188 | + | 0.0945188i | ||||
\(630\) | −35.5639 | − | 20.5966i | −1.41690 | − | 0.820587i | ||||
\(631\) | 26.3103 | + | 26.3103i | 1.04739 | + | 1.04739i | 0.998820 | + | 0.0485754i | \(0.0154681\pi\) |
0.0485754 | + | 0.998820i | \(0.484532\pi\) | |||||||
\(632\) | −32.6356 | + | 8.74469i | −1.29817 | + | 0.347845i | ||||
\(633\) | 7.09960 | − | 4.09896i | 0.282184 | − | 0.162919i | ||||
\(634\) | −10.8997 | + | 6.29297i | −0.432884 | + | 0.249926i | ||||
\(635\) | −9.30892 | − | 34.7414i | −0.369413 | − | 1.37867i | ||||
\(636\) | −34.5556 | −1.37022 | ||||||||
\(637\) | −25.2347 | + | 0.459373i | −0.999834 | + | 0.0182010i | ||||
\(638\) | 0.683045 | 0.0270420 | ||||||||
\(639\) | −1.86001 | − | 6.94165i | −0.0735809 | − | 0.274608i | ||||
\(640\) | −23.0442 | + | 13.3046i | −0.910903 | + | 0.525910i | ||||
\(641\) | −20.0412 | + | 11.5708i | −0.791579 | + | 0.457018i | −0.840518 | − | 0.541784i | \(-0.817749\pi\) |
0.0489393 | + | 0.998802i | \(0.484416\pi\) | |||||||
\(642\) | −5.04067 | + | 1.35064i | −0.198939 | + | 0.0533056i | ||||
\(643\) | 11.9385 | + | 11.9385i | 0.470808 | + | 0.470808i | 0.902176 | − | 0.431368i | \(-0.141969\pi\) |
−0.431368 | + | 0.902176i | \(0.641969\pi\) | |||||||
\(644\) | −15.8976 | − | 9.20699i | −0.626455 | − | 0.362806i | ||||
\(645\) | −49.9339 | − | 49.9339i | −1.96614 | − | 1.96614i | ||||
\(646\) | 0.883205 | − | 1.52976i | 0.0347492 | − | 0.0601874i | ||||
\(647\) | 10.2367 | + | 17.7305i | 0.402446 | + | 0.697056i | 0.994020 | − | 0.109194i | \(-0.0348269\pi\) |
−0.591575 | + | 0.806250i | \(0.701494\pi\) | |||||||
\(648\) | −6.63919 | + | 24.7778i | −0.260812 | + | 0.973364i | ||||
\(649\) | 0.636779 | − | 1.10293i | 0.0249958 | − | 0.0432939i | ||||
\(650\) | 13.8340 | − | 4.01830i | 0.542615 | − | 0.157611i | ||||
\(651\) | 7.80745 | − | 28.9821i | 0.305998 | − | 1.13590i | ||||
\(652\) | 7.71589 | − | 7.71589i | 0.302178 | − | 0.302178i | ||||
\(653\) | 20.9319 | − | 36.2552i | 0.819130 | − | 1.41878i | −0.0871932 | − | 0.996191i | \(-0.527790\pi\) |
0.906324 | − | 0.422584i | \(-0.138877\pi\) | |||||||
\(654\) | −13.1547 | − | 22.7846i | −0.514389 | − | 0.890947i | ||||
\(655\) | 21.3271 | + | 5.71457i | 0.833318 | + | 0.223287i | ||||
\(656\) | −3.35642 | + | 0.899351i | −0.131046 | + | 0.0351138i | ||||
\(657\) | 10.4519 | − | 10.4519i | 0.407766 | − | 0.407766i | ||||
\(658\) | −10.5935 | − | 0.0142221i | −0.412977 | − | 0.000554436i | ||||
\(659\) | −36.8332 | −1.43482 | −0.717410 | − | 0.696651i | \(-0.754672\pi\) | ||||
−0.717410 | + | 0.696651i | \(0.754672\pi\) | |||||||
\(660\) | −5.55290 | − | 3.20597i | −0.216146 | − | 0.124792i | ||||
\(661\) | 7.01384 | + | 1.87935i | 0.272807 | + | 0.0730983i | 0.392629 | − | 0.919697i | \(-0.371566\pi\) |
−0.119822 | + | 0.992795i | \(0.538232\pi\) | |||||||
\(662\) | −6.69037 | + | 3.86268i | −0.260028 | + | 0.150128i | ||||
\(663\) | −11.2553 | + | 6.81555i | −0.437118 | + | 0.264694i | ||||
\(664\) | 28.1604i | 1.09284i | ||||||||
\(665\) | −14.8318 | − | 0.0199122i | −0.575152 | − | 0.000772161i | ||||
\(666\) | 13.6465 | 0.528790 | ||||||||
\(667\) | −7.41911 | − | 4.28343i | −0.287269 | − | 0.165855i | ||||
\(668\) | 0.961794 | − | 3.58947i | 0.0372129 | − | 0.138881i | ||||
\(669\) | 62.9912 | + | 16.8784i | 2.43538 | + | 0.652558i | ||||
\(670\) | −4.92248 | − | 18.3710i | −0.190172 | − | 0.709732i | ||||
\(671\) | 3.77751 | − | 3.77751i | 0.145829 | − | 0.145829i | ||||
\(672\) | 44.6104 | + | 12.0175i | 1.72088 | + | 0.463586i | ||||
\(673\) | − | 28.4985i | − | 1.09854i | −0.835646 | − | 0.549269i | \(-0.814906\pi\) | ||
0.835646 | − | 0.549269i | \(-0.185094\pi\) | |||||||
\(674\) | 24.3701 | − | 6.52995i | 0.938701 | − | 0.251524i | ||||
\(675\) | 22.4136 | + | 38.8214i | 0.862699 | + | 1.49424i | ||||
\(676\) | −15.3544 | − | 8.02933i | −0.590556 | − | 0.308820i | ||||
\(677\) | 13.1864 | + | 7.61318i | 0.506795 | + | 0.292598i | 0.731515 | − | 0.681825i | \(-0.238814\pi\) |
−0.224720 | + | 0.974423i | \(0.572147\pi\) | |||||||
\(678\) | 9.05238 | + | 9.05238i | 0.347655 | + | 0.347655i | ||||
\(679\) | −2.82500 | − | 10.5999i | −0.108414 | − | 0.406788i | ||||
\(680\) | 10.3880i | 0.398362i | ||||||||
\(681\) | −14.0897 | − | 52.5837i | −0.539920 | − | 2.01501i | ||||
\(682\) | −0.405488 | + | 1.51330i | −0.0155270 | + | 0.0579474i | ||||
\(683\) | −11.1843 | + | 41.7404i | −0.427956 | + | 1.59715i | 0.329426 | + | 0.944182i | \(0.393145\pi\) |
−0.757382 | + | 0.652972i | \(0.773522\pi\) | |||||||
\(684\) | 3.71803 | + | 13.8759i | 0.142162 | + | 0.530557i | ||||
\(685\) | − | 19.5618i | − | 0.747418i | ||||||
\(686\) | 14.6274 | − | 3.85631i | 0.558475 | − | 0.147235i | ||||
\(687\) | −9.19373 | − | 9.19373i | −0.350763 | − | 0.350763i | ||||
\(688\) | 2.85886 | + | 1.65056i | 0.108993 | + | 0.0629271i | ||||
\(689\) | −31.0718 | + | 0.649093i | −1.18374 | + | 0.0247285i | ||||
\(690\) | −20.1265 | − | 34.8601i | −0.766203 | − | 1.32710i | ||||
\(691\) | 9.69593 | − | 2.59802i | 0.368851 | − | 0.0988332i | −0.0696323 | − | 0.997573i | \(-0.522183\pi\) |
0.438483 | + | 0.898739i | \(0.355516\pi\) | |||||||
\(692\) | − | 2.40416i | − | 0.0913926i | ||||||
\(693\) | 2.09513 | + | 7.86134i | 0.0795875 | + | 0.298628i | ||||
\(694\) | −6.33827 | + | 6.33827i | −0.240597 | + | 0.240597i | ||||
\(695\) | 1.56019 | + | 5.82270i | 0.0591813 | + | 0.220868i | ||||
\(696\) | 13.0056 | + | 3.48484i | 0.492977 | + | 0.132093i | ||||
\(697\) | −2.46756 | + | 9.20905i | −0.0934654 | + | 0.348818i | ||||
\(698\) | 14.1644 | + | 8.17781i | 0.536130 | + | 0.309535i | ||||
\(699\) | −29.7410 | −1.12491 | ||||||||
\(700\) | 14.9504 | − | 8.60490i | 0.565074 | − | 0.325235i | ||||
\(701\) | − | 24.4239i | − | 0.922479i | −0.887276 | − | 0.461239i | \(-0.847405\pi\) | ||
0.887276 | − | 0.461239i | \(-0.152595\pi\) | |||||||
\(702\) | −6.43898 | + | 26.2084i | −0.243024 | + | 0.989172i | ||||
\(703\) | 4.26509 | − | 2.46245i | 0.160861 | − | 0.0928732i | ||||
\(704\) | −1.89489 | − | 0.507735i | −0.0714164 | − | 0.0191360i | ||||
\(705\) | 40.1598 | + | 23.1863i | 1.51251 | + | 0.873246i | ||||
\(706\) | −15.5806 | −0.586384 | ||||||||
\(707\) | −0.0548847 | + | 40.8814i | −0.00206415 | + | 1.53750i | ||||
\(708\) | 7.09918 | − | 7.09918i | 0.266804 | − | 0.266804i | ||||
\(709\) | −26.8785 | + | 7.20208i | −1.00944 | + | 0.270480i | −0.725397 | − | 0.688330i | \(-0.758344\pi\) |
−0.284047 | + | 0.958810i | \(0.591677\pi\) | |||||||
\(710\) | −2.94906 | − | 0.790199i | −0.110676 | − | 0.0296556i | ||||
\(711\) | −37.5245 | − | 64.9943i | −1.40728 | − | 2.43748i | ||||
\(712\) | 13.2841 | − | 23.0087i | 0.497843 | − | 0.862289i | ||||
\(713\) | 13.8944 | − | 13.8944i | 0.520349 | − | 0.520349i | ||||
\(714\) | 5.58398 | − | 5.56901i | 0.208975 | − | 0.208415i | ||||
\(715\) | −5.05328 | − | 2.77844i | −0.188982 | − | 0.103908i | ||||
\(716\) | 11.4043 | − | 19.7528i | 0.426199 | − | 0.738197i | ||||
\(717\) | 8.95861 | − | 33.4340i | 0.334565 | − | 1.24862i | ||||
\(718\) | −11.4464 | − | 19.8258i | −0.427176 | − | 0.739890i | ||||
\(719\) | −6.94803 | + | 12.0343i | −0.259118 | + | 0.448805i | −0.966006 | − | 0.258520i | \(-0.916765\pi\) |
0.706888 | + | 0.707325i | \(0.250098\pi\) | |||||||
\(720\) | −5.94669 | − | 5.94669i | −0.221620 | − | 0.221620i | ||||
\(721\) | 40.1299 | − | 23.0972i | 1.49452 | − | 0.860187i | ||||
\(722\) | 9.13867 | + | 9.13867i | 0.340106 | + | 0.340106i | ||||
\(723\) | −42.3426 | + | 11.3457i | −1.57474 | + | 0.421950i | ||||
\(724\) | 27.0891 | − | 15.6399i | 1.00676 | − | 0.581251i | ||||
\(725\) | 6.96627 | − | 4.02198i | 0.258721 | − | 0.149372i | ||||
\(726\) | 6.82988 | + | 25.4895i | 0.253481 | + | 0.946003i | ||||
\(727\) | 14.0631 | 0.521572 | 0.260786 | − | 0.965397i | \(-0.416018\pi\) | ||||
0.260786 | + | 0.965397i | \(0.416018\pi\) | |||||||
\(728\) | 25.2102 | + | 6.22965i | 0.934353 | + | 0.230886i | ||||
\(729\) | 25.7110 | 0.952259 | ||||||||
\(730\) | −1.62527 | − | 6.06560i | −0.0601540 | − | 0.224498i | ||||
\(731\) | 7.84388 | − | 4.52866i | 0.290116 | − | 0.167499i | ||||
\(732\) | 36.4717 | − | 21.0569i | 1.34803 | − | 0.778287i | ||||
\(733\) | −21.8735 | + | 5.86099i | −0.807917 | + | 0.216481i | −0.639057 | − | 0.769159i | \(-0.720675\pi\) |
−0.168860 | + | 0.985640i | \(0.554009\pi\) | |||||||
\(734\) | −9.65927 | − | 9.65927i | −0.356530 | − | 0.356530i | ||||
\(735\) | −63.9159 | − | 17.3103i | −2.35757 | − | 0.638499i | ||||
\(736\) | 21.3868 | + | 21.3868i | 0.788327 | + | 0.788327i | ||||
\(737\) | −1.88252 | + | 3.26061i | −0.0693434 | + | 0.120106i | ||||
\(738\) | 19.4045 | + | 33.6096i | 0.714290 | + | 1.23719i | ||||
\(739\) | 0.258550 | − | 0.964923i | 0.00951093 | − | 0.0354953i | −0.961007 | − | 0.276523i | \(-0.910818\pi\) |
0.970518 | + | 0.241028i | \(0.0774845\pi\) | |||||||
\(740\) | −5.79129 | + | 10.0308i | −0.212892 | + | 0.368740i | ||||
\(741\) | 5.39180 | + | 18.5626i | 0.198073 | + | 0.681916i | ||||
\(742\) | 17.9990 | − | 4.79692i | 0.660763 | − | 0.176100i | ||||
\(743\) | −7.54553 | + | 7.54553i | −0.276819 | + | 0.276819i | −0.831838 | − | 0.555019i | \(-0.812711\pi\) |
0.555019 | + | 0.831838i | \(0.312711\pi\) | |||||||
\(744\) | −15.4415 | + | 26.7455i | −0.566114 | + | 0.980538i | ||||
\(745\) | 1.75616 | + | 3.04176i | 0.0643407 | + | 0.111441i | ||||
\(746\) | 12.9309 | + | 3.46481i | 0.473433 | + | 0.126856i | ||||
\(747\) | −60.4198 | + | 16.1894i | −2.21065 | + | 0.592341i | ||||
\(748\) | 0.581519 | − | 0.581519i | 0.0212625 | − | 0.0212625i | ||||
\(749\) | −4.87084 | + | 2.80347i | −0.177976 | + | 0.102436i | ||||
\(750\) | −0.837176 | −0.0305693 | ||||||||
\(751\) | 36.8341 | + | 21.2662i | 1.34409 | + | 0.776013i | 0.987405 | − | 0.158210i | \(-0.0505723\pi\) |
0.356689 | + | 0.934223i | \(0.383906\pi\) | |||||||
\(752\) | −2.09390 | − | 0.561060i | −0.0763568 | − | 0.0204598i | ||||
\(753\) | −5.98551 | + | 3.45573i | −0.218124 | + | 0.125934i | ||||
\(754\) | 4.70293 | + | 1.15544i | 0.171271 | + | 0.0420785i | ||||
\(755\) | 41.4498i | 1.50851i | ||||||||
\(756\) | −0.0433853 | + | 32.3160i | −0.00157791 | + | 1.17532i | ||||
\(757\) | 44.6260 | 1.62196 | 0.810979 | − | 0.585075i | \(-0.198935\pi\) | ||||
0.810979 | + | 0.585075i | \(0.198935\pi\) | |||||||
\(758\) | −2.81025 | − | 1.62250i | −0.102073 | − | 0.0589317i | ||||
\(759\) | −2.06241 | + | 7.69702i | −0.0748608 | + | 0.279384i | ||||
\(760\) | 14.7406 | + | 3.94973i | 0.534697 | + | 0.143272i | ||||
\(761\) | −12.2522 | − | 45.7257i | −0.444141 | − | 1.65756i | −0.718195 | − | 0.695842i | \(-0.755032\pi\) |
0.274054 | − | 0.961714i | \(-0.411635\pi\) | |||||||
\(762\) | 19.8660 | − | 19.8660i | 0.719669 | − | 0.719669i | ||||
\(763\) | −20.0080 | − | 20.0618i | −0.724338 | − | 0.726286i | ||||
\(764\) | 33.6504i | 1.21743i | ||||||||
\(765\) | −22.2881 | + | 5.97207i | −0.805827 | + | 0.215921i | ||||
\(766\) | −15.8370 | − | 27.4305i | −0.572214 | − | 0.991104i | ||||
\(767\) | 6.25010 | − | 6.51680i | 0.225678 | − | 0.235308i | ||||
\(768\) | −38.0971 | − | 21.9954i | −1.37471 | − | 0.793689i | ||||
\(769\) | −17.0724 | − | 17.0724i | −0.615648 | − | 0.615648i | 0.328764 | − | 0.944412i | \(-0.393368\pi\) |
−0.944412 | + | 0.328764i | \(0.893368\pi\) | |||||||
\(770\) | 3.33738 | + | 0.899052i | 0.120271 | + | 0.0323996i | ||||
\(771\) | 54.2915i | 1.95526i | ||||||||
\(772\) | −1.84212 | − | 6.87490i | −0.0662994 | − | 0.247433i | ||||
\(773\) | −10.1986 | + | 38.0617i | −0.366818 | + | 1.36898i | 0.498121 | + | 0.867107i | \(0.334023\pi\) |
−0.864939 | + | 0.501876i | \(0.832643\pi\) | |||||||
\(774\) | 9.54242 | − | 35.6128i | 0.342995 | − | 1.28008i | ||||
\(775\) | 4.77528 | + | 17.8216i | 0.171533 | + | 0.640170i | ||||
\(776\) | 11.2871i | 0.405182i | ||||||||
\(777\) | 21.2463 | − | 5.66236i | 0.762206 | − | 0.203136i | ||||
\(778\) | −2.81855 | − | 2.81855i | −0.101050 | − | 0.101050i | ||||
\(779\) | 12.1294 | + | 7.00294i | 0.434582 | + | 0.250906i | ||||
\(780\) | −32.8099 | − | 31.4672i | −1.17478 | − | 1.12670i | ||||
\(781\) | 0.302198 | + | 0.523422i | 0.0108135 | + | 0.0187295i | ||||
\(782\) | 4.98692 | − | 1.33624i | 0.178332 | − | 0.0477839i | ||||
\(783\) | 15.0695i | 0.538541i | ||||||||
\(784\) | 3.09549 | + | 0.00831162i | 0.110553 | + | 0.000296844i | ||||
\(785\) | 30.9215 | − | 30.9215i | 1.10364 | − | 1.10364i | ||||
\(786\) | 4.46381 | + | 16.6592i | 0.159219 | + | 0.594213i | ||||
\(787\) | 14.0502 | + | 3.76475i | 0.500837 | + | 0.134199i | 0.500388 | − | 0.865801i | \(-0.333191\pi\) |
0.000448541 | 1.00000i | \(0.499857\pi\) | ||||||||
\(788\) | −5.22695 | + | 19.5072i | −0.186202 | + | 0.694917i | ||||
\(789\) | 20.7431 | + | 11.9760i | 0.738474 | + | 0.426358i | ||||
\(790\) | −31.8835 | −1.13436 | ||||||||
\(791\) | 11.9306 | + | 6.90953i | 0.424205 | + | 0.245675i | ||||
\(792\) | − | 8.37095i | − | 0.297449i | ||||||
\(793\) | 32.3991 | − | 19.6191i | 1.15053 | − | 0.696694i | ||||
\(794\) | −22.3925 | + | 12.9283i | −0.794681 | + | 0.458809i | ||||
\(795\) | −78.7615 | − | 21.1041i | −2.79338 | − | 0.748484i | ||||
\(796\) | −8.28813 | − | 4.78515i | −0.293765 | − | 0.169605i | ||||
\(797\) | −2.90737 | −0.102984 | −0.0514922 | − | 0.998673i | \(-0.516398\pi\) | ||||
−0.0514922 | + | 0.998673i | \(0.516398\pi\) | |||||||
\(798\) | −5.77929 | − | 10.0411i | −0.204585 | − | 0.355452i | ||||
\(799\) | −4.20568 | + | 4.20568i | −0.148786 | + | 0.148786i | ||||
\(800\) | −27.4317 | + | 7.35029i | −0.969856 | + | 0.259872i | ||||
\(801\) | 57.0036 | + | 15.2741i | 2.01412 | + | 0.539683i | ||||
\(802\) | 3.95081 | + | 6.84300i | 0.139508 | + | 0.241635i | ||||
\(803\) | −0.621557 | + | 1.07657i | −0.0219343 | + | 0.0379912i | ||||
\(804\) | −20.9874 | + | 20.9874i | −0.740168 | + | 0.740168i | ||||
\(805\) | −30.6120 | − | 30.6943i | −1.07893 | − | 1.08183i | ||||
\(806\) | −5.35179 | + | 9.73355i | −0.188509 | + | 0.342850i | ||||
\(807\) | −12.1047 | + | 20.9659i | −0.426104 | + | 0.738035i | ||||
\(808\) | 10.8868 | − | 40.6301i | 0.382996 | − | 1.42936i | ||||
\(809\) | −0.931766 | − | 1.61387i | −0.0327591 | − | 0.0567405i | 0.849181 | − | 0.528102i | \(-0.177096\pi\) |
−0.881940 | + | 0.471361i | \(0.843763\pi\) | |||||||
\(810\) | −12.1034 | + | 20.9637i | −0.425270 | + | 0.736589i | ||||
\(811\) | −12.4905 | − | 12.4905i | −0.438602 | − | 0.438602i | 0.452940 | − | 0.891541i | \(-0.350375\pi\) |
−0.891541 | + | 0.452940i | \(0.850375\pi\) | |||||||
\(812\) | 5.79890 | + | 0.00778523i | 0.203502 | + | 0.000273208i | ||||
\(813\) | −47.2344 | − | 47.2344i | −1.65658 | − | 1.65658i | ||||
\(814\) | −1.10858 | + | 0.297043i | −0.0388557 | + | 0.0104113i | ||||
\(815\) | 22.2989 | − | 12.8743i | 0.781096 | − | 0.450966i | ||||
\(816\) | 1.39760 | − | 0.806902i | 0.0489256 | − | 0.0282472i | ||||
\(817\) | −3.44378 | − | 12.8524i | −0.120483 | − | 0.449647i | ||||
\(818\) | −9.76924 | −0.341574 | ||||||||
\(819\) | 1.12731 | + | 57.6714i | 0.0393913 | + | 2.01520i | ||||
\(820\) | −32.9395 | −1.15030 | ||||||||
\(821\) | −6.65758 | − | 24.8464i | −0.232351 | − | 0.867147i | −0.979325 | − | 0.202293i | \(-0.935161\pi\) |
0.746974 | − | 0.664853i | \(-0.231506\pi\) | |||||||
\(822\) | 13.2331 | − | 7.64013i | 0.461557 | − | 0.266480i | ||||
\(823\) | 14.7104 | − | 8.49308i | 0.512774 | − | 0.296050i | −0.221199 | − | 0.975229i | \(-0.570997\pi\) |
0.733973 | + | 0.679178i | \(0.237664\pi\) | |||||||
\(824\) | −46.0175 | + | 12.3303i | −1.60310 | + | 0.429548i | ||||
\(825\) | −5.29069 | − | 5.29069i | −0.184198 | − | 0.184198i | ||||
\(826\) | −2.71226 | + | 4.68324i | −0.0943715 | + | 0.162951i | ||||
\(827\) | −10.3024 | − | 10.3024i | −0.358251 | − | 0.358251i | 0.504917 | − | 0.863168i | \(-0.331523\pi\) |
−0.863168 | + | 0.504917i | \(0.831523\pi\) | |||||||
\(828\) | −20.9934 | + | 36.3617i | −0.729572 | + | 1.26366i | ||||
\(829\) | 2.24299 | + | 3.88497i | 0.0779023 | + | 0.134931i | 0.902345 | − | 0.431015i | \(-0.141844\pi\) |
−0.824442 | + | 0.565946i | \(0.808511\pi\) | |||||||
\(830\) | −6.87786 | + | 25.6685i | −0.238734 | + | 0.890967i | ||||
\(831\) | 2.21102 | − | 3.82959i | 0.0766993 | − | 0.132847i | ||||
\(832\) | −12.1879 | − | 6.70127i | −0.422540 | − | 0.232325i | ||||
\(833\) | 4.26631 | − | 7.34386i | 0.147819 | − | 0.254450i | ||||
\(834\) | −3.32957 | + | 3.32957i | −0.115293 | + | 0.115293i | ||||
\(835\) | 4.38437 | − | 7.59395i | 0.151727 | − | 0.262800i | ||||
\(836\) | −0.604072 | − | 1.04628i | −0.0208923 | − | 0.0361864i | ||||
\(837\) | −33.3869 | − | 8.94600i | −1.15402 | − | 0.309219i | ||||
\(838\) | −14.6237 | + | 3.91841i | −0.505167 | + | 0.135359i | ||||
\(839\) | 3.77561 | − | 3.77561i | 0.130348 | − | 0.130348i | −0.638923 | − | 0.769271i | \(-0.720620\pi\) |
0.769271 | + | 0.638923i | \(0.220620\pi\) | |||||||
\(840\) | 58.9590 | + | 34.1456i | 2.03428 | + | 1.17814i | ||||
\(841\) | −26.2959 | −0.906754 | ||||||||
\(842\) | −19.2953 | − | 11.1402i | −0.664961 | − | 0.383916i | ||||
\(843\) | 54.3476 | + | 14.5624i | 1.87183 | + | 0.501555i | ||||
\(844\) | −3.14608 | + | 1.81639i | −0.108293 | + | 0.0625228i | ||||
\(845\) | −30.0931 | − | 27.6784i | −1.03524 | − | 0.952165i | ||||
\(846\) | 24.2110i | 0.832392i | ||||||||
\(847\) | 14.1765 | + | 24.6307i | 0.487109 | + | 0.846320i | ||||
\(848\) | 3.81173 | 0.130895 | ||||||||
\(849\) | −12.4681 | − | 7.19844i | −0.427903 | − | 0.247050i | ||||
\(850\) | −1.25468 | + | 4.68253i | −0.0430351 | + | 0.160609i | ||||
\(851\) | 13.9040 | + | 3.72556i | 0.476622 | + | 0.127710i | ||||
\(852\) | 1.23317 | + | 4.60224i | 0.0422476 | + | 0.157670i | ||||
\(853\) | 18.5441 | − | 18.5441i | 0.634938 | − | 0.634938i | −0.314364 | − | 0.949302i | \(-0.601791\pi\) |
0.949302 | + | 0.314364i | \(0.101791\pi\) | |||||||
\(854\) | −16.0739 | + | 16.0308i | −0.550038 | + | 0.548563i | ||||
\(855\) | 33.8975i | 1.15927i | ||||||||
\(856\) | 5.58545 | − | 1.49662i | 0.190907 | − | 0.0511533i | ||||
\(857\) | −23.3241 | − | 40.3984i | −0.796734 | − | 1.37998i | −0.921732 | − | 0.387828i | \(-0.873226\pi\) |
0.124997 | − | 0.992157i | \(-0.460108\pi\) | |||||||
\(858\) | −0.0940805 | − | 4.50359i | −0.00321186 | − | 0.153750i | ||||
\(859\) | 2.09313 | + | 1.20847i | 0.0714165 | + | 0.0412323i | 0.535283 | − | 0.844673i | \(-0.320205\pi\) |
−0.463867 | + | 0.885905i | \(0.653538\pi\) | |||||||
\(860\) | 22.1275 | + | 22.1275i | 0.754540 | + | 0.754540i | ||||
\(861\) | 44.1567 | + | 44.2754i | 1.50486 | + | 1.50890i | ||||
\(862\) | − | 7.48294i | − | 0.254870i | ||||||
\(863\) | 14.2951 | + | 53.3502i | 0.486612 | + | 1.81606i | 0.572690 | + | 0.819772i | \(0.305900\pi\) |
−0.0860781 | + | 0.996288i | \(0.527433\pi\) | |||||||
\(864\) | 13.7700 | − | 51.3904i | 0.468466 | − | 1.74834i | ||||
\(865\) | 1.46829 | − | 5.47973i | 0.0499233 | − | 0.186316i | ||||
\(866\) | −5.00386 | − | 18.6747i | −0.170038 | − | 0.634591i | ||||
\(867\) | 46.7045i | 1.58617i | ||||||||
\(868\) | −3.45976 | + | 12.8430i | −0.117432 | + | 0.435920i | ||||
\(869\) | 4.46305 | + | 4.46305i | 0.151399 | + | 0.151399i | ||||
\(870\) | 11.0036 | + | 6.35295i | 0.373058 | + | 0.215385i | ||||
\(871\) | −18.4772 | + | 19.2657i | −0.626077 | + | 0.652793i | ||||
\(872\) | 14.5764 | + | 25.2470i | 0.493619 | + | 0.854973i | ||||
\(873\) | −24.2171 | + | 6.48895i | −0.819624 | + | 0.219618i | ||||
\(874\) | − | 7.58451i | − | 0.256550i | ||||||
\(875\) | −0.871182 | + | 0.232179i | −0.0294513 | + | 0.00784909i | ||||
\(876\) | −6.92948 | + | 6.92948i | −0.234125 | + | 0.234125i | ||||
\(877\) | −6.65127 | − | 24.8229i | −0.224597 | − | 0.838208i | −0.982565 | − | 0.185917i | \(-0.940474\pi\) |
0.757968 | − | 0.652292i | \(-0.226192\pi\) | |||||||
\(878\) | 8.91374 | + | 2.38843i | 0.300824 | + | 0.0806056i | ||||
\(879\) | 16.8591 | − | 62.9190i | 0.568643 | − | 2.12221i | ||||
\(880\) | 0.612524 | + | 0.353641i | 0.0206482 | + | 0.0119212i | ||||
\(881\) | −14.0101 | −0.472014 | −0.236007 | − | 0.971751i | \(-0.575839\pi\) | ||||
−0.236007 | + | 0.971751i | \(0.575839\pi\) | |||||||
\(882\) | −8.85833 | − | 33.4184i | −0.298275 | − | 1.12526i | ||||
\(883\) | − | 26.0607i | − | 0.877012i | −0.898728 | − | 0.438506i | \(-0.855508\pi\) | ||
0.898728 | − | 0.438506i | \(-0.144492\pi\) | |||||||
\(884\) | 4.98760 | − | 3.02021i | 0.167751 | − | 0.101581i | ||||
\(885\) | 20.5166 | − | 11.8453i | 0.689658 | − | 0.398174i | ||||
\(886\) | 30.7921 | + | 8.25071i | 1.03448 | + | 0.277188i | ||||
\(887\) | −19.8272 | − | 11.4472i | −0.665731 | − | 0.384360i | 0.128726 | − | 0.991680i | \(-0.458911\pi\) |
−0.794457 | + | 0.607320i | \(0.792244\pi\) | |||||||
\(888\) | −22.6236 | −0.759197 | ||||||||
\(889\) | 15.1634 | − | 26.1825i | 0.508563 | − | 0.878133i | ||||
\(890\) | 17.7282 | − | 17.7282i | 0.594251 | − | 0.594251i | ||||
\(891\) | 4.62872 | − | 1.24026i | 0.155068 | − | 0.0415504i | ||||
\(892\) | −27.9136 | − | 7.47943i | −0.934617 | − | 0.250430i | ||||
\(893\) | 4.36878 | + | 7.56695i | 0.146196 | + | 0.253218i | ||||
\(894\) | −1.37179 | + | 2.37600i | −0.0458794 | + | 0.0794654i | ||||
\(895\) | 38.0570 | − | 38.0570i | 1.27211 | − | 1.27211i | ||||
\(896\) | −21.6139 | − | 5.82254i | −0.722070 | − | 0.194517i | ||||
\(897\) | −27.2205 | + | 49.5072i | −0.908865 | + | 1.65300i | ||||
\(898\) | −5.09572 | + | 8.82605i | −0.170046 | + | 0.294529i | ||||
\(899\) | −1.60530 | + | 5.99108i | −0.0535399 | + | 0.199814i | ||||
\(900\) | −19.7120 | − | 34.1423i | −0.657068 | − | 1.13808i | ||||
\(901\) | 5.22914 | − | 9.05713i | 0.174208 | − | 0.301737i | ||||
\(902\) | −2.30792 | − | 2.30792i | −0.0768452 | − | 0.0768452i | ||||
\(903\) | 0.0797535 | − | 59.4052i | 0.00265403 | − | 1.97688i | ||||
\(904\) | −10.0307 | − | 10.0307i | −0.333617 | − | 0.333617i | ||||
\(905\) | 71.2949 | − | 19.1034i | 2.36992 | − | 0.635019i | ||||
\(906\) | −28.0398 | + | 16.1888i | −0.931560 | + | 0.537837i | ||||
\(907\) | −19.6282 | + | 11.3323i | −0.651742 | + | 0.376284i | −0.789123 | − | 0.614235i | \(-0.789465\pi\) |
0.137381 | + | 0.990518i | \(0.456132\pi\) | |||||||
\(908\) | 6.24367 | + | 23.3017i | 0.207203 | + | 0.773293i | ||||
\(909\) | 93.4330 | 3.09898 | ||||||||
\(910\) | 21.4579 | + | 11.8357i | 0.711321 | + | 0.392349i | ||||
\(911\) | −5.46179 | −0.180957 | −0.0904786 | − | 0.995898i | \(-0.528840\pi\) | ||||
−0.0904786 | + | 0.995898i | \(0.528840\pi\) | |||||||
\(912\) | −0.613601 | − | 2.28999i | −0.0203184 | − | 0.0758292i | ||||
\(913\) | 4.55584 | − | 2.63031i | 0.150776 | − | 0.0870507i | ||||
\(914\) | 16.1713 | − | 9.33653i | 0.534900 | − | 0.308825i | ||||
\(915\) | 95.9888 | − | 25.7201i | 3.17329 | − | 0.850281i | ||||
\(916\) | 4.07407 | + | 4.07407i | 0.134611 | + | 0.134611i | ||||
\(917\) | 9.26532 | + | 16.0979i | 0.305968 | + | 0.531599i | ||||
\(918\) | −6.42172 | − | 6.42172i | −0.211948 | − | 0.211948i | ||||
\(919\) | 10.9646 | − | 18.9912i | 0.361688 | − | 0.626461i | −0.626551 | − | 0.779380i | \(-0.715534\pi\) |
0.988239 | + | 0.152919i | \(0.0488674\pi\) | |||||||
\(920\) | 22.3017 | + | 38.6277i | 0.735266 | + | 1.27352i | ||||
\(921\) | −10.3115 | + | 38.4829i | −0.339775 | + | 1.26806i | ||||
\(922\) | −4.43096 | + | 7.67464i | −0.145926 | + | 0.252751i | ||||
\(923\) | 1.19529 | + | 4.11509i | 0.0393434 | + | 0.135450i | ||||
\(924\) | −1.38905 | − | 5.21199i | −0.0456964 | − | 0.171462i | ||||
\(925\) | −9.55714 | + | 9.55714i | −0.314237 | + | 0.314237i | ||||
\(926\) | 8.11878 | − | 14.0621i | 0.266800 | − | 0.462110i | ||||
\(927\) | −52.9110 | − | 91.6445i | −1.73782 | − | 3.01000i | ||||
\(928\) | −9.22169 | − | 2.47095i | −0.302717 | − | 0.0811128i | ||||
\(929\) | −8.97788 | + | 2.40562i | −0.294555 | + | 0.0789257i | −0.403070 | − | 0.915169i | \(-0.632057\pi\) |
0.108515 | + | 0.994095i | \(0.465390\pi\) | |||||||
\(930\) | −20.6074 | + | 20.6074i | −0.675743 | + | 0.675743i | ||||
\(931\) | −8.79881 | − | 8.84619i | −0.288369 | − | 0.289922i | ||||
\(932\) | 13.1793 | 0.431702 | ||||||||
\(933\) | 14.1224 | + | 8.15356i | 0.462346 | + | 0.266936i | ||||
\(934\) | −7.83081 | − | 2.09826i | −0.256232 | − | 0.0686572i | ||||
\(935\) | 1.68059 | − | 0.970288i | 0.0549611 | − | 0.0317318i | ||||
\(936\) | 14.1603 | − | 57.6361i | 0.462842 | − | 1.88389i | ||||
\(937\) | − | 3.37326i | − | 0.110200i | −0.998481 | − | 0.0550998i | \(-0.982452\pi\) | ||
0.998481 | − | 0.0550998i | \(-0.0175477\pi\) | |||||||
\(938\) | 8.01827 | − | 13.8451i | 0.261806 | − | 0.452058i | ||||
\(939\) | 63.4428 | 2.07038 | ||||||||
\(940\) | −17.7962 | − | 10.2747i | −0.580449 | − | 0.335122i | ||||
\(941\) | −0.289236 | + | 1.07944i | −0.00942881 | + | 0.0351888i | −0.970480 | − | 0.241182i | \(-0.922465\pi\) |
0.961051 | + | 0.276371i | \(0.0891317\pi\) | |||||||
\(942\) | 32.9946 | + | 8.84086i | 1.07502 | + | 0.288051i | ||||
\(943\) | 10.5951 | + | 39.5413i | 0.345023 | + | 1.28764i | ||||
\(944\) | −0.783090 | + | 0.783090i | −0.0254874 | + | 0.0254874i | ||||
\(945\) | −19.8351 | + | 73.6302i | −0.645237 | + | 2.39519i | ||||
\(946\) | 3.10073i | 0.100813i | ||||||||
\(947\) | −11.4772 | + | 3.07530i | −0.372958 | + | 0.0999338i | −0.440429 | − | 0.897787i | \(-0.645174\pi\) |
0.0674710 | + | 0.997721i | \(0.478507\pi\) | |||||||
\(948\) | 24.8783 | + | 43.0905i | 0.808011 | + | 1.39952i | ||||
\(949\) | −6.10069 | + | 6.36102i | −0.198037 | + | 0.206487i | ||||
\(950\) | 6.16746 | + | 3.56078i | 0.200099 | + | 0.115527i | ||||
\(951\) | 32.7723 | + | 32.7723i | 1.06272 | + | 1.06272i | ||||
\(952\) | −6.18748 | + | 6.17089i | −0.200537 | + | 0.200000i | ||||
\(953\) | − | 27.4279i | − | 0.888478i | −0.895908 | − | 0.444239i | \(-0.853474\pi\) | ||
0.895908 | − | 0.444239i | \(-0.146526\pi\) | |||||||
\(954\) | −11.0184 | − | 41.1212i | −0.356734 | − | 1.33135i | ||||
\(955\) | −20.5513 | + | 76.6983i | −0.665023 | + | 2.48190i | ||||
\(956\) | −3.96988 | + | 14.8158i | −0.128395 | + | 0.479177i | ||||
\(957\) | −0.651002 | − | 2.42957i | −0.0210439 | − | 0.0785369i | ||||
\(958\) | − | 17.2306i | − | 0.556694i | ||||||
\(959\) | 11.6517 | − | 11.6205i | 0.376254 | − | 0.375245i | ||||
\(960\) | −25.8037 | − | 25.8037i | −0.832810 | − | 0.832810i | ||||
\(961\) | 14.5264 | + | 8.38681i | 0.468593 | + | 0.270542i | ||||
\(962\) | −8.13532 | + | 0.169948i | −0.262293 | + | 0.00547934i | ||||
\(963\) | 6.42216 | + | 11.1235i | 0.206951 | + | 0.358450i | ||||
\(964\) | 18.7635 | − | 5.02766i | 0.604331 | − | 0.161930i | ||||
\(965\) | − | 16.7948i | − | 0.540642i | ||||||
\(966\) | 8.80804 | − | 32.6964i | 0.283394 | − | 1.05199i | ||||
\(967\) | −1.22569 | + | 1.22569i | −0.0394155 | + | 0.0394155i | −0.726540 | − | 0.687124i | \(-0.758873\pi\) |
0.687124 | + | 0.726540i | \(0.258873\pi\) | |||||||
\(968\) | −7.56803 | − | 28.2443i | −0.243246 | − | 0.907806i | ||||
\(969\) | −6.28307 | − | 1.68354i | −0.201841 | − | 0.0540832i | ||||
\(970\) | −2.75674 | + | 10.2883i | −0.0885135 | + | 0.330337i | ||||
\(971\) | −10.7056 | − | 6.18087i | −0.343559 | − | 0.198354i | 0.318286 | − | 0.947995i | \(-0.396893\pi\) |
−0.661845 | + | 0.749641i | \(0.730226\pi\) | |||||||
\(972\) | 1.13364 | 0.0363615 | ||||||||
\(973\) | −2.54140 | + | 4.38822i | −0.0814736 | + | 0.140680i | ||||
\(974\) | 35.8091i | 1.14740i | ||||||||
\(975\) | −27.4780 | − | 45.3774i | −0.880001 | − | 1.45324i | ||||
\(976\) | −4.02309 | + | 2.32273i | −0.128776 | + | 0.0743488i | ||||
\(977\) | 0.161930 | + | 0.0433889i | 0.00518058 | + | 0.00138813i | 0.261408 | − | 0.965228i | \(-0.415813\pi\) |
−0.256228 | + | 0.966616i | \(0.582480\pi\) | |||||||
\(978\) | 17.4183 | + | 10.0565i | 0.556975 | + | 0.321570i | ||||
\(979\) | −4.96319 | −0.158624 | ||||||||
\(980\) | 28.3234 | + | 7.67080i | 0.904757 | + | 0.245035i | ||||
\(981\) | −45.7890 | + | 45.7890i | −1.46193 | + | 1.46193i | ||||
\(982\) | −29.2921 | + | 7.84879i | −0.934748 | + | 0.250465i | ||||
\(983\) | −11.2297 | − | 3.00899i | −0.358172 | − | 0.0959718i | 0.0752459 | − | 0.997165i | \(-0.476026\pi\) |
−0.433418 | + | 0.901193i | \(0.642693\pi\) | |||||||
\(984\) | −32.1694 | − | 55.7190i | −1.02552 | − | 1.77626i | ||||
\(985\) | −23.8272 | + | 41.2700i | −0.759199 | + | 1.31497i | ||||
\(986\) | −1.15234 | + | 1.15234i | −0.0366979 | + | 0.0366979i | ||||
\(987\) | 10.0459 | + | 37.6943i | 0.319765 | + | 1.19982i | ||||
\(988\) | −2.38930 | − | 8.22576i | −0.0760137 | − | 0.261696i | ||||
\(989\) | 19.4449 | − | 33.6796i | 0.618313 | − | 1.07095i | ||||
\(990\) | 2.04451 | − | 7.63021i | 0.0649787 | − | 0.242504i | ||||
\(991\) | −4.59806 | − | 7.96408i | −0.146062 | − | 0.252987i | 0.783707 | − | 0.621131i | \(-0.213327\pi\) |
−0.929769 | + | 0.368144i | \(0.879993\pi\) | |||||||
\(992\) | 10.9489 | − | 18.9640i | 0.347628 | − | 0.602109i | ||||
\(993\) | 20.1160 | + | 20.1160i | 0.638361 | + | 0.638361i | ||||
\(994\) | −1.28119 | − | 2.22598i | −0.0406369 | − | 0.0706039i | ||||
\(995\) | −15.9684 | − | 15.9684i | −0.506233 | − | 0.506233i | ||||
\(996\) | 40.0577 | − | 10.7334i | 1.26928 | − | 0.340102i | ||||
\(997\) | −25.9655 | + | 14.9912i | −0.822337 | + | 0.474776i | −0.851222 | − | 0.524806i | \(-0.824138\pi\) |
0.0288849 | + | 0.999583i | \(0.490804\pi\) | |||||||
\(998\) | −3.78846 | + | 2.18727i | −0.119922 | + | 0.0692368i | ||||
\(999\) | −6.55344 | − | 24.4578i | −0.207342 | − | 0.773810i |
(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 | 91.2.bb.a.5.3 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fn.e.460.6 | 32 | |||
7.2 | even | 3 | 637.2.i.a.538.5 | 32 | |||
7.3 | odd | 6 | inner | 91.2.bb.a.31.6 | yes | 32 | |
7.4 | even | 3 | 637.2.bc.b.31.6 | 32 | |||
7.5 | odd | 6 | 637.2.i.a.538.6 | 32 | |||
7.6 | odd | 2 | 637.2.bc.b.460.3 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.47.6 | yes | 32 | |
21.17 | even | 6 | 819.2.fn.e.577.3 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.775.3 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.411.6 | 32 | |||
91.47 | even | 12 | 637.2.i.a.489.6 | 32 | |||
91.60 | odd | 12 | 637.2.bc.b.619.3 | 32 | |||
91.73 | even | 12 | inner | 91.2.bb.a.73.3 | yes | 32 | |
91.86 | odd | 12 | 637.2.i.a.489.5 | 32 | |||
273.164 | odd | 12 | 819.2.fn.e.73.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.31.6 | yes | 32 | 7.3 | odd | 6 | inner | |
91.2.bb.a.47.6 | yes | 32 | 13.8 | odd | 4 | inner | |
91.2.bb.a.73.3 | yes | 32 | 91.73 | even | 12 | inner | |
637.2.i.a.489.5 | 32 | 91.86 | odd | 12 | |||
637.2.i.a.489.6 | 32 | 91.47 | even | 12 | |||
637.2.i.a.538.5 | 32 | 7.2 | even | 3 | |||
637.2.i.a.538.6 | 32 | 7.5 | odd | 6 | |||
637.2.bc.b.31.6 | 32 | 7.4 | even | 3 | |||
637.2.bc.b.411.6 | 32 | 91.34 | even | 4 | |||
637.2.bc.b.460.3 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.619.3 | 32 | 91.60 | odd | 12 | |||
819.2.fn.e.73.6 | 32 | 273.164 | odd | 12 | |||
819.2.fn.e.460.6 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.577.3 | 32 | 21.17 | even | 6 | |||
819.2.fn.e.775.3 | 32 | 39.8 | even | 4 |