Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 761.20 | ||
Character | \(\chi\) | \(=\) | 930.761 |
Dual form | 930.2.br.a.11.20 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | + | 0.309017i | 0.672499 | + | 0.218508i | ||||
\(3\) | 1.43236 | + | 0.973832i | 0.826973 | + | 0.562242i | ||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | −0.866025 | − | 0.500000i | −0.387298 | − | 0.223607i | ||||
\(6\) | 1.06132 | + | 1.36879i | 0.433284 | + | 0.558807i | ||||
\(7\) | 0.396236 | − | 3.76994i | 0.149763 | − | 1.42490i | −0.619011 | − | 0.785382i | \(-0.712466\pi\) |
0.768774 | − | 0.639520i | \(-0.220867\pi\) | |||||||
\(8\) | 0.587785 | + | 0.809017i | 0.207813 | + | 0.286031i | ||||
\(9\) | 1.10330 | + | 2.78975i | 0.367768 | + | 0.929918i | ||||
\(10\) | −0.669131 | − | 0.743145i | −0.211598 | − | 0.235003i | ||||
\(11\) | 3.50186 | − | 1.55913i | 1.05585 | − | 0.470095i | 0.195981 | − | 0.980608i | \(-0.437211\pi\) |
0.859870 | + | 0.510512i | \(0.170544\pi\) | |||||||
\(12\) | 0.586399 | + | 1.62977i | 0.169279 | + | 0.470473i | ||||
\(13\) | 1.20728 | − | 5.67981i | 0.334839 | − | 1.57530i | −0.412566 | − | 0.910928i | \(-0.635367\pi\) |
0.747405 | − | 0.664368i | \(-0.231299\pi\) | |||||||
\(14\) | 1.54182 | − | 3.46298i | 0.412068 | − | 0.925520i | ||||
\(15\) | −0.753543 | − | 1.55954i | −0.194564 | − | 0.402672i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −2.94491 | − | 1.31116i | −0.714245 | − | 0.318003i | 0.0172478 | − | 0.999851i | \(-0.494510\pi\) |
−0.731493 | + | 0.681849i | \(0.761176\pi\) | |||||||
\(18\) | 0.187223 | + | 2.99415i | 0.0441289 | + | 0.705728i | ||||
\(19\) | 6.45384 | − | 1.37181i | 1.48061 | − | 0.314714i | 0.604416 | − | 0.796669i | \(-0.293406\pi\) |
0.876196 | + | 0.481955i | \(0.160073\pi\) | |||||||
\(20\) | −0.406737 | − | 0.913545i | −0.0909491 | − | 0.204275i | ||||
\(21\) | 4.23884 | − | 5.01404i | 0.924990 | − | 1.09415i | ||||
\(22\) | 3.81227 | − | 0.400685i | 0.812778 | − | 0.0854264i | ||||
\(23\) | −5.27071 | + | 3.82939i | −1.09902 | + | 0.798484i | −0.980899 | − | 0.194515i | \(-0.937687\pi\) |
−0.118119 | + | 0.992999i | \(0.537687\pi\) | |||||||
\(24\) | 0.0540730 | + | 1.73121i | 0.0110376 | + | 0.353381i | ||||
\(25\) | 0.500000 | + | 0.866025i | 0.100000 | + | 0.173205i | ||||
\(26\) | 2.90335 | − | 5.02875i | 0.569394 | − | 0.986219i | ||||
\(27\) | −1.13642 | + | 5.07036i | −0.218705 | + | 0.975791i | ||||
\(28\) | 2.53648 | − | 2.81704i | 0.479349 | − | 0.532371i | ||||
\(29\) | −2.71005 | + | 8.34068i | −0.503244 | + | 1.54882i | 0.300460 | + | 0.953794i | \(0.402860\pi\) |
−0.803703 | + | 0.595030i | \(0.797140\pi\) | |||||||
\(30\) | −0.234737 | − | 1.71607i | −0.0428569 | − | 0.313310i | ||||
\(31\) | 0.212774 | + | 5.56370i | 0.0382153 | + | 0.999270i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 6.53425 | + | 1.17699i | 1.13747 | + | 0.204888i | ||||
\(34\) | −2.39561 | − | 2.15701i | −0.410843 | − | 0.369925i | ||||
\(35\) | −2.22812 | + | 3.06674i | −0.376621 | + | 0.518374i | ||||
\(36\) | −0.747184 | + | 2.90546i | −0.124531 | + | 0.484244i | ||||
\(37\) | −2.61824 | + | 1.51164i | −0.430437 | + | 0.248513i | −0.699533 | − | 0.714601i | \(-0.746608\pi\) |
0.269096 | + | 0.963113i | \(0.413275\pi\) | |||||||
\(38\) | 6.56188 | + | 0.689681i | 1.06448 | + | 0.111881i | ||||
\(39\) | 7.26044 | − | 6.95984i | 1.16260 | − | 1.11447i | ||||
\(40\) | −0.104528 | − | 0.994522i | −0.0165274 | − | 0.157248i | ||||
\(41\) | 4.97903 | − | 4.48314i | 0.777594 | − | 0.700149i | −0.181452 | − | 0.983400i | \(-0.558080\pi\) |
0.959046 | + | 0.283251i | \(0.0914129\pi\) | |||||||
\(42\) | 5.58080 | − | 3.45876i | 0.861136 | − | 0.533698i | ||||
\(43\) | 1.30393 | + | 6.13450i | 0.198847 | + | 0.935503i | 0.958482 | + | 0.285153i | \(0.0920443\pi\) |
−0.759635 | + | 0.650350i | \(0.774622\pi\) | |||||||
\(44\) | 3.74950 | + | 0.796981i | 0.565258 | + | 0.120149i | ||||
\(45\) | 0.439388 | − | 2.96765i | 0.0655000 | − | 0.442391i | ||||
\(46\) | −6.19609 | + | 2.01323i | −0.913564 | + | 0.296835i | ||||
\(47\) | −10.3627 | + | 3.36705i | −1.51156 | + | 0.491135i | −0.943364 | − | 0.331760i | \(-0.892358\pi\) |
−0.568194 | + | 0.822895i | \(0.692358\pi\) | |||||||
\(48\) | −0.483546 | + | 1.66318i | −0.0697938 | + | 0.240060i | ||||
\(49\) | −7.20840 | − | 1.53219i | −1.02977 | − | 0.218885i | ||||
\(50\) | 0.207912 | + | 0.978148i | 0.0294032 | + | 0.138331i | ||||
\(51\) | −2.94132 | − | 4.74589i | −0.411867 | − | 0.664558i | ||||
\(52\) | 4.31522 | − | 3.88544i | 0.598413 | − | 0.538814i | ||||
\(53\) | −0.652891 | − | 6.21184i | −0.0896815 | − | 0.853262i | −0.943206 | − | 0.332209i | \(-0.892206\pi\) |
0.853524 | − | 0.521053i | \(-0.174461\pi\) | |||||||
\(54\) | −2.64763 | + | 4.47102i | −0.360297 | + | 0.608429i | ||||
\(55\) | −3.81227 | − | 0.400685i | −0.514046 | − | 0.0540284i | ||||
\(56\) | 3.28285 | − | 1.89535i | 0.438689 | − | 0.253277i | ||||
\(57\) | 10.5801 | + | 4.32004i | 1.40137 | + | 0.572203i | ||||
\(58\) | −5.15482 | + | 7.09500i | −0.676861 | + | 0.931619i | ||||
\(59\) | 3.01511 | + | 2.71481i | 0.392534 | + | 0.353439i | 0.841640 | − | 0.540040i | \(-0.181591\pi\) |
−0.449106 | + | 0.893478i | \(0.648257\pi\) | |||||||
\(60\) | 0.307047 | − | 1.70462i | 0.0396396 | − | 0.220065i | ||||
\(61\) | − | 10.0367i | − | 1.28507i | −0.766258 | − | 0.642533i | \(-0.777883\pi\) | ||
0.766258 | − | 0.642533i | \(-0.222117\pi\) | |||||||
\(62\) | −1.51692 | + | 5.35714i | −0.192649 | + | 0.680358i | ||||
\(63\) | 10.9544 | − | 3.05398i | 1.38012 | − | 0.384766i | ||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | −3.88544 | + | 4.31522i | −0.481930 | + | 0.535237i | ||||
\(66\) | 5.85074 | + | 3.13858i | 0.720176 | + | 0.386333i | ||||
\(67\) | −2.41388 | + | 4.18096i | −0.294902 | + | 0.510785i | −0.974962 | − | 0.222371i | \(-0.928620\pi\) |
0.680060 | + | 0.733156i | \(0.261954\pi\) | |||||||
\(68\) | −1.61180 | − | 2.79172i | −0.195460 | − | 0.338546i | ||||
\(69\) | −11.2787 | + | 0.352283i | −1.35780 | + | 0.0424099i | ||||
\(70\) | −3.06674 | + | 2.22812i | −0.366546 | + | 0.266311i | ||||
\(71\) | −0.247791 | + | 0.0260439i | −0.0294074 | + | 0.00309084i | −0.119221 | − | 0.992868i | \(-0.538040\pi\) |
0.0898134 | + | 0.995959i | \(0.471373\pi\) | |||||||
\(72\) | −1.60845 | + | 2.53237i | −0.189558 | + | 0.298442i | ||||
\(73\) | 2.26238 | + | 5.08138i | 0.264791 | + | 0.594731i | 0.996189 | − | 0.0872203i | \(-0.0277984\pi\) |
−0.731398 | + | 0.681951i | \(0.761132\pi\) | |||||||
\(74\) | −2.95722 | + | 0.628577i | −0.343770 | + | 0.0730706i | ||||
\(75\) | −0.127184 | + | 1.72737i | −0.0146859 | + | 0.199460i | ||||
\(76\) | 6.02759 | + | 2.68366i | 0.691412 | + | 0.307837i | ||||
\(77\) | −4.49026 | − | 13.8196i | −0.511712 | − | 1.57489i | ||||
\(78\) | 9.05580 | − | 4.37560i | 1.02537 | − | 0.495439i | ||||
\(79\) | 0.661137 | − | 1.48494i | 0.0743837 | − | 0.167069i | −0.872526 | − | 0.488567i | \(-0.837520\pi\) |
0.946910 | + | 0.321498i | \(0.104186\pi\) | |||||||
\(80\) | 0.207912 | − | 0.978148i | 0.0232452 | − | 0.109360i | ||||
\(81\) | −6.56544 | + | 6.15589i | −0.729494 | + | 0.683988i | ||||
\(82\) | 6.12071 | − | 2.72511i | 0.675919 | − | 0.300939i | ||||
\(83\) | −1.71819 | − | 1.90824i | −0.188595 | − | 0.209456i | 0.641431 | − | 0.767181i | \(-0.278341\pi\) |
−0.830026 | + | 0.557725i | \(0.811675\pi\) | |||||||
\(84\) | 6.37647 | − | 1.56491i | 0.695730 | − | 0.170746i | ||||
\(85\) | 1.89479 | + | 2.60795i | 0.205519 | + | 0.282872i | ||||
\(86\) | −0.655555 | + | 6.23719i | −0.0706904 | + | 0.672574i | ||||
\(87\) | −12.0042 | + | 9.30771i | −1.28698 | + | 0.997891i | ||||
\(88\) | 3.31971 | + | 1.91663i | 0.353882 | + | 0.204314i | ||||
\(89\) | 0.635760 | + | 0.461907i | 0.0673904 | + | 0.0489620i | 0.620970 | − | 0.783834i | \(-0.286739\pi\) |
−0.553580 | + | 0.832796i | \(0.686739\pi\) | |||||||
\(90\) | 1.33494 | − | 2.68662i | 0.140715 | − | 0.283195i | ||||
\(91\) | −20.9342 | − | 6.80192i | −2.19450 | − | 0.713035i | ||||
\(92\) | −6.51496 | −0.679231 | ||||||||
\(93\) | −5.11334 | + | 8.17642i | −0.530228 | + | 0.847855i | ||||
\(94\) | −10.8960 | −1.12384 | ||||||||
\(95\) | −6.27509 | − | 2.03890i | −0.643811 | − | 0.209187i | ||||
\(96\) | −0.973832 | + | 1.43236i | −0.0993913 | + | 0.146190i | ||||
\(97\) | −1.23929 | − | 0.900398i | −0.125831 | − | 0.0914216i | 0.523090 | − | 0.852278i | \(-0.324779\pi\) |
−0.648921 | + | 0.760856i | \(0.724779\pi\) | |||||||
\(98\) | −6.38212 | − | 3.68472i | −0.644691 | − | 0.372213i | ||||
\(99\) | 8.21321 | + | 8.04914i | 0.825458 | + | 0.808969i | ||||
\(100\) | −0.104528 | + | 0.994522i | −0.0104528 | + | 0.0994522i | ||||
\(101\) | 3.47758 | + | 4.78648i | 0.346032 | + | 0.476272i | 0.946191 | − | 0.323608i | \(-0.104896\pi\) |
−0.600159 | + | 0.799881i | \(0.704896\pi\) | |||||||
\(102\) | −1.33080 | − | 5.42253i | −0.131769 | − | 0.536911i | ||||
\(103\) | −3.85034 | − | 4.27623i | −0.379385 | − | 0.421350i | 0.522965 | − | 0.852354i | \(-0.324826\pi\) |
−0.902350 | + | 0.431005i | \(0.858159\pi\) | |||||||
\(104\) | 5.30468 | − | 2.36180i | 0.520167 | − | 0.231593i | ||||
\(105\) | −6.17796 | + | 2.22286i | −0.602907 | + | 0.216929i | ||||
\(106\) | 1.29863 | − | 6.10957i | 0.126134 | − | 0.593414i | ||||
\(107\) | 6.14722 | − | 13.8069i | 0.594274 | − | 1.33476i | −0.326696 | − | 0.945130i | \(-0.605935\pi\) |
0.920970 | − | 0.389633i | \(-0.127398\pi\) | |||||||
\(108\) | −3.89967 | + | 3.43403i | −0.375246 | + | 0.330440i | ||||
\(109\) | 1.32448 | + | 4.07633i | 0.126862 | + | 0.390441i | 0.994236 | − | 0.107216i | \(-0.0341937\pi\) |
−0.867374 | + | 0.497657i | \(0.834194\pi\) | |||||||
\(110\) | −3.50186 | − | 1.55913i | −0.333890 | − | 0.148657i | ||||
\(111\) | −5.22235 | − | 0.384513i | −0.495684 | − | 0.0364963i | ||||
\(112\) | 3.70787 | − | 0.788132i | 0.350361 | − | 0.0744714i | ||||
\(113\) | 6.73568 | + | 15.1286i | 0.633640 | + | 1.42318i | 0.889713 | + | 0.456520i | \(0.150904\pi\) |
−0.256073 | + | 0.966657i | \(0.582429\pi\) | |||||||
\(114\) | 8.72733 | + | 7.37804i | 0.817389 | + | 0.691016i | ||||
\(115\) | 6.47927 | − | 0.680998i | 0.604195 | − | 0.0635034i | ||||
\(116\) | −7.09500 | + | 5.15482i | −0.658754 | + | 0.478613i | ||||
\(117\) | 17.1773 | − | 2.89854i | 1.58804 | − | 0.267970i | ||||
\(118\) | 2.02861 | + | 3.51366i | 0.186749 | + | 0.323459i | ||||
\(119\) | −6.10986 | + | 10.5826i | −0.560090 | + | 0.970105i | ||||
\(120\) | 0.818775 | − | 1.52631i | 0.0747436 | − | 0.139332i | ||||
\(121\) | 2.47172 | − | 2.74513i | 0.224702 | − | 0.249557i | ||||
\(122\) | 3.10151 | − | 9.54546i | 0.280797 | − | 0.864205i | ||||
\(123\) | 11.4976 | − | 1.57273i | 1.03670 | − | 0.141808i | ||||
\(124\) | −3.09812 | + | 4.62619i | −0.278220 | + | 0.415444i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 11.3620 | + | 0.480573i | 1.01220 | + | 0.0428129i | ||||
\(127\) | −3.09928 | − | 2.79061i | −0.275017 | − | 0.247626i | 0.520068 | − | 0.854125i | \(-0.325907\pi\) |
−0.795084 | + | 0.606499i | \(0.792573\pi\) | |||||||
\(128\) | −0.587785 | + | 0.809017i | −0.0519534 | + | 0.0715077i | ||||
\(129\) | −4.10628 | + | 10.0566i | −0.361538 | + | 0.885435i | ||||
\(130\) | −5.02875 | + | 2.90335i | −0.441051 | + | 0.254641i | ||||
\(131\) | −9.25144 | − | 0.972365i | −0.808302 | − | 0.0849559i | −0.308643 | − | 0.951178i | \(-0.599875\pi\) |
−0.499659 | + | 0.866222i | \(0.666541\pi\) | |||||||
\(132\) | 4.59450 | + | 4.79295i | 0.399900 | + | 0.417172i | ||||
\(133\) | −2.61438 | − | 24.8741i | −0.226695 | − | 2.15686i | ||||
\(134\) | −3.58772 | + | 3.23040i | −0.309932 | + | 0.279064i | ||||
\(135\) | 3.51935 | − | 3.82285i | 0.302898 | − | 0.329018i | ||||
\(136\) | −0.670225 | − | 3.15316i | −0.0574713 | − | 0.270381i | ||||
\(137\) | −12.0272 | − | 2.55646i | −1.02755 | − | 0.218413i | −0.336855 | − | 0.941557i | \(-0.609363\pi\) |
−0.690698 | + | 0.723143i | \(0.742697\pi\) | |||||||
\(138\) | −10.8356 | − | 3.15028i | −0.922385 | − | 0.268170i | ||||
\(139\) | 20.5506 | − | 6.67730i | 1.74308 | − | 0.566361i | 0.747847 | − | 0.663871i | \(-0.231088\pi\) |
0.995235 | + | 0.0975099i | \(0.0310878\pi\) | |||||||
\(140\) | −3.60517 | + | 1.17139i | −0.304693 | + | 0.0990007i | ||||
\(141\) | −18.1221 | − | 5.26872i | −1.52615 | − | 0.443706i | ||||
\(142\) | −0.243711 | − | 0.0518024i | −0.0204518 | − | 0.00434716i | ||||
\(143\) | −4.62783 | − | 21.7722i | −0.386999 | − | 1.82069i | ||||
\(144\) | −2.31227 | + | 1.91139i | −0.192689 | + | 0.159282i | ||||
\(145\) | 6.51731 | − | 5.86821i | 0.541233 | − | 0.487328i | ||||
\(146\) | 0.581415 | + | 5.53179i | 0.0481182 | + | 0.457815i | ||||
\(147\) | −8.83291 | − | 9.21441i | −0.728526 | − | 0.759992i | ||||
\(148\) | −3.00673 | − | 0.316020i | −0.247151 | − | 0.0259766i | ||||
\(149\) | 6.33942 | − | 3.66006i | 0.519345 | − | 0.299844i | −0.217321 | − | 0.976100i | \(-0.569732\pi\) |
0.736667 | + | 0.676256i | \(0.236399\pi\) | |||||||
\(150\) | −0.654747 | + | 1.60353i | −0.0534599 | + | 0.130928i | ||||
\(151\) | −8.39415 | + | 11.5536i | −0.683106 | + | 0.940215i | −0.999966 | − | 0.00825726i | \(-0.997372\pi\) |
0.316860 | + | 0.948472i | \(0.397372\pi\) | |||||||
\(152\) | 4.90329 | + | 4.41494i | 0.397709 | + | 0.358099i | ||||
\(153\) | 0.408678 | − | 9.66217i | 0.0330397 | − | 0.781141i | ||||
\(154\) | − | 14.5308i | − | 1.17092i | ||||||
\(155\) | 2.59758 | − | 4.92469i | 0.208643 | − | 0.395561i | ||||
\(156\) | 9.96471 | − | 1.36305i | 0.797815 | − | 0.109131i | ||||
\(157\) | 1.16710 | − | 3.59195i | 0.0931444 | − | 0.286669i | −0.893621 | − | 0.448822i | \(-0.851844\pi\) |
0.986766 | + | 0.162153i | \(0.0518438\pi\) | |||||||
\(158\) | 1.08765 | − | 1.20796i | 0.0865287 | − | 0.0960999i | ||||
\(159\) | 5.11412 | − | 9.53340i | 0.405576 | − | 0.756047i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | 12.3481 | + | 21.3876i | 0.973169 | + | 1.68558i | ||||
\(162\) | −8.14638 | + | 3.82576i | −0.640040 | + | 0.300580i | ||||
\(163\) | 8.48299 | − | 6.16325i | 0.664439 | − | 0.482743i | −0.203720 | − | 0.979029i | \(-0.565303\pi\) |
0.868159 | + | 0.496286i | \(0.165303\pi\) | |||||||
\(164\) | 6.66325 | − | 0.700335i | 0.520312 | − | 0.0546870i | ||||
\(165\) | −5.07033 | − | 4.28643i | −0.394725 | − | 0.333698i | ||||
\(166\) | −1.04441 | − | 2.34579i | −0.0810622 | − | 0.182069i | ||||
\(167\) | 10.3523 | − | 2.20044i | 0.801083 | − | 0.170275i | 0.210861 | − | 0.977516i | \(-0.432373\pi\) |
0.590222 | + | 0.807241i | \(0.299040\pi\) | |||||||
\(168\) | 6.54797 | + | 0.482115i | 0.505187 | + | 0.0371960i | ||||
\(169\) | −18.9266 | − | 8.42668i | −1.45589 | − | 0.648206i | ||||
\(170\) | 0.996149 | + | 3.06583i | 0.0764011 | + | 0.235138i | ||||
\(171\) | 10.9475 | + | 16.4911i | 0.837180 | + | 1.26111i | ||||
\(172\) | −2.55087 | + | 5.72935i | −0.194502 | + | 0.436858i | ||||
\(173\) | −4.58062 | + | 21.5501i | −0.348258 | + | 1.63843i | 0.360346 | + | 0.932819i | \(0.382659\pi\) |
−0.708604 | + | 0.705607i | \(0.750675\pi\) | |||||||
\(174\) | −14.2929 | + | 5.14266i | −1.08354 | + | 0.389864i | ||||
\(175\) | 3.46298 | − | 1.54182i | 0.261777 | − | 0.116550i | ||||
\(176\) | 2.56496 | + | 2.84867i | 0.193341 | + | 0.214727i | ||||
\(177\) | 1.67494 | + | 6.82480i | 0.125896 | + | 0.512983i | ||||
\(178\) | 0.461907 | + | 0.635760i | 0.0346214 | + | 0.0476522i | ||||
\(179\) | 1.91175 | − | 18.1891i | 0.142891 | − | 1.35952i | −0.654504 | − | 0.756059i | \(-0.727122\pi\) |
0.797395 | − | 0.603458i | \(-0.206211\pi\) | |||||||
\(180\) | 2.09981 | − | 2.14261i | 0.156511 | − | 0.159701i | ||||
\(181\) | −18.0716 | − | 10.4337i | −1.34325 | − | 0.775527i | −0.355969 | − | 0.934498i | \(-0.615849\pi\) |
−0.987283 | + | 0.158970i | \(0.949183\pi\) | |||||||
\(182\) | −17.8077 | − | 12.9380i | −1.31999 | − | 0.959030i | ||||
\(183\) | 9.77405 | − | 14.3761i | 0.722518 | − | 1.06272i | ||||
\(184\) | −6.19609 | − | 2.01323i | −0.456782 | − | 0.148417i | ||||
\(185\) | 3.02329 | 0.222277 | ||||||||
\(186\) | −7.38972 | + | 6.19613i | −0.541841 | + | 0.454322i | ||||
\(187\) | −12.3569 | −0.903629 | ||||||||
\(188\) | −10.3627 | − | 3.36705i | −0.755779 | − | 0.245567i | ||||
\(189\) | 18.6646 | + | 6.29331i | 1.35765 | + | 0.457771i | ||||
\(190\) | −5.33791 | − | 3.87822i | −0.387253 | − | 0.281356i | ||||
\(191\) | 2.58975 | + | 1.49519i | 0.187388 | + | 0.108188i | 0.590759 | − | 0.806848i | \(-0.298828\pi\) |
−0.403371 | + | 0.915036i | \(0.632162\pi\) | |||||||
\(192\) | −1.36879 | + | 1.06132i | −0.0987841 | + | 0.0765944i | ||||
\(193\) | −2.81006 | + | 26.7360i | −0.202273 | + | 1.92450i | 0.150165 | + | 0.988661i | \(0.452019\pi\) |
−0.352438 | + | 0.935835i | \(0.614647\pi\) | |||||||
\(194\) | −0.900398 | − | 1.23929i | −0.0646448 | − | 0.0889760i | ||||
\(195\) | −9.76764 | + | 2.39718i | −0.699475 | + | 0.171665i | ||||
\(196\) | −4.93111 | − | 5.47656i | −0.352222 | − | 0.391183i | ||||
\(197\) | −12.3527 | + | 5.49978i | −0.880094 | + | 0.391843i | −0.796487 | − | 0.604656i | \(-0.793311\pi\) |
−0.0836068 | + | 0.996499i | \(0.526644\pi\) | |||||||
\(198\) | 5.32390 | + | 10.1932i | 0.378353 | + | 0.724400i | ||||
\(199\) | −5.46565 | + | 25.7139i | −0.387450 | + | 1.82281i | 0.161403 | + | 0.986889i | \(0.448398\pi\) |
−0.548853 | + | 0.835919i | \(0.684935\pi\) | |||||||
\(200\) | −0.406737 | + | 0.913545i | −0.0287606 | + | 0.0645974i | ||||
\(201\) | −7.52908 | + | 3.63792i | −0.531061 | + | 0.256599i | ||||
\(202\) | 1.82827 | + | 5.62684i | 0.128637 | + | 0.395903i | ||||
\(203\) | 30.3700 | + | 13.5216i | 2.13156 | + | 0.949030i | ||||
\(204\) | 0.409990 | − | 5.56837i | 0.0287050 | − | 0.389864i | ||||
\(205\) | −6.55354 | + | 1.39300i | −0.457719 | + | 0.0972912i | ||||
\(206\) | −2.34046 | − | 5.25676i | −0.163068 | − | 0.366256i | ||||
\(207\) | −16.4983 | − | 10.4790i | −1.14671 | − | 0.728340i | ||||
\(208\) | 5.77489 | − | 0.606965i | 0.400417 | − | 0.0420855i | ||||
\(209\) | 20.4616 | − | 14.8663i | 1.41536 | − | 1.02832i | ||||
\(210\) | −6.56249 | + | 0.204975i | −0.452855 | + | 0.0141446i | ||||
\(211\) | −0.171275 | − | 0.296656i | −0.0117910 | − | 0.0204227i | 0.860070 | − | 0.510177i | \(-0.170420\pi\) |
−0.871861 | + | 0.489754i | \(0.837087\pi\) | |||||||
\(212\) | 3.12303 | − | 5.40925i | 0.214491 | − | 0.371509i | ||||
\(213\) | −0.380288 | − | 0.204002i | −0.0260569 | − | 0.0139780i | ||||
\(214\) | 10.1129 | − | 11.2315i | 0.691305 | − | 0.767772i | ||||
\(215\) | 1.93802 | − | 5.96460i | 0.132172 | − | 0.406782i | ||||
\(216\) | −4.76998 | + | 2.06090i | −0.324556 | + | 0.140226i | ||||
\(217\) | 21.0591 | + | 1.40240i | 1.42959 | + | 0.0952009i | ||||
\(218\) | 4.28610i | 0.290292i | ||||||||
\(219\) | −1.70788 | + | 9.48154i | −0.115408 | + | 0.640703i | ||||
\(220\) | −2.84867 | − | 2.56496i | −0.192057 | − | 0.172929i | ||||
\(221\) | −11.0025 | + | 15.1436i | −0.740106 | + | 1.01867i | ||||
\(222\) | −4.84793 | − | 1.97949i | −0.325372 | − | 0.132855i | ||||
\(223\) | −11.8694 | + | 6.85282i | −0.794836 | + | 0.458899i | −0.841662 | − | 0.540004i | \(-0.818423\pi\) |
0.0468261 | + | 0.998903i | \(0.485089\pi\) | |||||||
\(224\) | 3.76994 | + | 0.396236i | 0.251890 | + | 0.0264747i | ||||
\(225\) | −1.86435 | + | 2.35037i | −0.124290 | + | 0.156691i | ||||
\(226\) | 1.73102 | + | 16.4696i | 0.115146 | + | 1.09554i | ||||
\(227\) | 1.73701 | − | 1.56401i | 0.115290 | − | 0.103807i | −0.609470 | − | 0.792809i | \(-0.708618\pi\) |
0.724759 | + | 0.689002i | \(0.241951\pi\) | |||||||
\(228\) | 6.02025 | + | 9.71382i | 0.398701 | + | 0.643314i | ||||
\(229\) | 1.57266 | + | 7.39880i | 0.103925 | + | 0.488926i | 0.999069 | + | 0.0431496i | \(0.0137392\pi\) |
−0.895144 | + | 0.445777i | \(0.852927\pi\) | |||||||
\(230\) | 6.37259 | + | 1.35454i | 0.420196 | + | 0.0893154i | ||||
\(231\) | 7.02630 | − | 24.1674i | 0.462296 | − | 1.59010i | ||||
\(232\) | −8.34068 | + | 2.71005i | −0.547592 | + | 0.177923i | ||||
\(233\) | −1.61858 | + | 0.525910i | −0.106037 | + | 0.0344535i | −0.361555 | − | 0.932351i | \(-0.617754\pi\) |
0.255518 | + | 0.966804i | \(0.417754\pi\) | |||||||
\(234\) | 17.2322 | + | 2.55139i | 1.12651 | + | 0.166790i | ||||
\(235\) | 10.6579 | + | 2.26541i | 0.695245 | + | 0.147779i | ||||
\(236\) | 0.843545 | + | 3.96857i | 0.0549101 | + | 0.258332i | ||||
\(237\) | 2.39306 | − | 1.48313i | 0.155446 | − | 0.0963395i | ||||
\(238\) | −9.08103 | + | 8.17660i | −0.588636 | + | 0.530010i | ||||
\(239\) | −0.228995 | − | 2.17874i | −0.0148125 | − | 0.140931i | 0.984616 | − | 0.174731i | \(-0.0559057\pi\) |
−0.999429 | + | 0.0338002i | \(0.989239\pi\) | |||||||
\(240\) | 1.25036 | − | 1.19859i | 0.0807101 | − | 0.0773685i | ||||
\(241\) | −8.34967 | − | 0.877586i | −0.537850 | − | 0.0565303i | −0.168290 | − | 0.985737i | \(-0.553825\pi\) |
−0.369559 | + | 0.929207i | \(0.620491\pi\) | |||||||
\(242\) | 3.19904 | − | 1.84697i | 0.205642 | − | 0.118727i | ||||
\(243\) | −15.3989 | + | 2.42381i | −0.987838 | + | 0.155487i | ||||
\(244\) | 5.89942 | − | 8.11985i | 0.377672 | − | 0.519820i | ||||
\(245\) | 5.47656 | + | 4.93111i | 0.349884 | + | 0.315037i | ||||
\(246\) | 11.4209 | + | 2.05720i | 0.728167 | + | 0.131162i | ||||
\(247\) | − | 38.3127i | − | 2.43778i | ||||||
\(248\) | −4.37606 | + | 3.44240i | −0.277880 | + | 0.218592i | ||||
\(249\) | −0.602755 | − | 4.40651i | −0.0381981 | − | 0.279251i | ||||
\(250\) | 0.309017 | − | 0.951057i | 0.0195440 | − | 0.0601501i | ||||
\(251\) | 5.57558 | − | 6.19231i | 0.351928 | − | 0.390855i | −0.541025 | − | 0.841007i | \(-0.681963\pi\) |
0.892952 | + | 0.450152i | \(0.148630\pi\) | |||||||
\(252\) | 10.6574 | + | 3.96809i | 0.671350 | + | 0.249966i | ||||
\(253\) | −12.4868 | + | 21.6277i | −0.785037 | + | 1.35972i | ||||
\(254\) | −2.08525 | − | 3.61175i | −0.130840 | − | 0.226622i | ||||
\(255\) | 0.174310 | + | 5.58073i | 0.0109157 | + | 0.349479i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 10.7218 | − | 1.12691i | 0.668807 | − | 0.0702944i | 0.235961 | − | 0.971762i | \(-0.424176\pi\) |
0.432846 | + | 0.901468i | \(0.357510\pi\) | |||||||
\(258\) | −7.01297 | + | 8.29550i | −0.436608 | + | 0.516455i | ||||
\(259\) | 4.66136 | + | 10.4696i | 0.289643 | + | 0.650548i | ||||
\(260\) | −5.67981 | + | 1.20728i | −0.352247 | + | 0.0748724i | ||||
\(261\) | −26.2584 | + | 1.64193i | −1.62536 | + | 0.101633i | ||||
\(262\) | −8.49816 | − | 3.78363i | −0.525018 | − | 0.233753i | ||||
\(263\) | 1.39511 | + | 4.29372i | 0.0860264 | + | 0.264762i | 0.984811 | − | 0.173628i | \(-0.0555489\pi\) |
−0.898785 | + | 0.438390i | \(0.855549\pi\) | |||||||
\(264\) | 2.88853 | + | 5.97814i | 0.177777 | + | 0.367929i | ||||
\(265\) | −2.54050 | + | 5.70606i | −0.156062 | + | 0.350521i | ||||
\(266\) | 5.20011 | − | 24.4646i | 0.318839 | − | 1.50002i | ||||
\(267\) | 0.460817 | + | 1.28074i | 0.0282015 | + | 0.0783800i | ||||
\(268\) | −4.41037 | + | 1.96362i | −0.269406 | + | 0.119947i | ||||
\(269\) | 13.4283 | + | 14.9136i | 0.818735 | + | 0.909298i | 0.997210 | − | 0.0746468i | \(-0.0237829\pi\) |
−0.178475 | + | 0.983944i | \(0.557116\pi\) | |||||||
\(270\) | 4.52843 | − | 2.54821i | 0.275591 | − | 0.155079i | ||||
\(271\) | −17.2832 | − | 23.7883i | −1.04988 | − | 1.44504i | −0.888911 | − | 0.458080i | \(-0.848537\pi\) |
−0.160971 | − | 0.986959i | \(-0.551463\pi\) | |||||||
\(272\) | 0.336958 | − | 3.20595i | 0.0204311 | − | 0.194389i | ||||
\(273\) | −23.3613 | − | 30.1291i | −1.41389 | − | 1.82350i | ||||
\(274\) | −10.6486 | − | 6.14795i | −0.643303 | − | 0.371411i | ||||
\(275\) | 3.10118 | + | 2.25314i | 0.187008 | + | 0.135869i | ||||
\(276\) | −9.33175 | − | 6.34447i | −0.561706 | − | 0.381892i | ||||
\(277\) | −26.5910 | − | 8.63994i | −1.59770 | − | 0.519123i | −0.631161 | − | 0.775652i | \(-0.717421\pi\) |
−0.966537 | + | 0.256528i | \(0.917421\pi\) | |||||||
\(278\) | 21.6082 | 1.29597 | ||||||||
\(279\) | −15.2866 | + | 6.73203i | −0.915184 | + | 0.403036i | ||||
\(280\) | −3.79070 | −0.226538 | ||||||||
\(281\) | 4.05756 | + | 1.31838i | 0.242053 | + | 0.0786479i | 0.427531 | − | 0.904000i | \(-0.359383\pi\) |
−0.185478 | + | 0.982648i | \(0.559383\pi\) | |||||||
\(282\) | −15.6070 | − | 10.6109i | −0.929382 | − | 0.631868i | ||||
\(283\) | −0.885260 | − | 0.643179i | −0.0526233 | − | 0.0382330i | 0.561163 | − | 0.827706i | \(-0.310354\pi\) |
−0.613786 | + | 0.789472i | \(0.710354\pi\) | |||||||
\(284\) | −0.215775 | − | 0.124578i | −0.0128039 | − | 0.00739233i | ||||
\(285\) | −7.00264 | − | 9.03132i | −0.414800 | − | 0.534969i | ||||
\(286\) | 2.32666 | − | 22.1367i | 0.137578 | − | 1.30897i | ||||
\(287\) | −14.9283 | − | 20.5470i | −0.881189 | − | 1.21285i | ||||
\(288\) | −2.78975 | + | 1.10330i | −0.164388 | + | 0.0650128i | ||||
\(289\) | −4.42187 | − | 4.91098i | −0.260110 | − | 0.288881i | ||||
\(290\) | 8.01171 | − | 3.56704i | 0.470464 | − | 0.209464i | ||||
\(291\) | −0.898274 | − | 2.49656i | −0.0526578 | − | 0.146351i | ||||
\(292\) | −1.15646 | + | 5.44072i | −0.0676767 | + | 0.318394i | ||||
\(293\) | 0.363693 | − | 0.816869i | 0.0212472 | − | 0.0477220i | −0.902610 | − | 0.430459i | \(-0.858352\pi\) |
0.923857 | + | 0.382737i | \(0.125018\pi\) | |||||||
\(294\) | −5.55319 | − | 11.4929i | −0.323869 | − | 0.670282i | ||||
\(295\) | −1.25375 | − | 3.85865i | −0.0729963 | − | 0.224659i | ||||
\(296\) | −2.76191 | − | 1.22968i | −0.160533 | − | 0.0714738i | ||||
\(297\) | 3.92575 | + | 19.5275i | 0.227795 | + | 1.13310i | ||||
\(298\) | 7.16017 | − | 1.52194i | 0.414777 | − | 0.0881636i | ||||
\(299\) | 15.3870 | + | 34.5598i | 0.889854 | + | 1.99864i | ||||
\(300\) | −1.11822 | + | 1.32272i | −0.0645604 | + | 0.0763672i | ||||
\(301\) | 23.6434 | − | 2.48502i | 1.36278 | − | 0.143234i | ||||
\(302\) | −11.5536 | + | 8.39415i | −0.664833 | + | 0.483029i | ||||
\(303\) | 0.319918 | + | 10.2425i | 0.0183788 | + | 0.588418i | ||||
\(304\) | 3.29901 | + | 5.71406i | 0.189211 | + | 0.327724i | ||||
\(305\) | −5.01835 | + | 8.69203i | −0.287350 | + | 0.497704i | ||||
\(306\) | 3.37445 | − | 9.06299i | 0.192905 | − | 0.518096i | ||||
\(307\) | 2.26045 | − | 2.51048i | 0.129011 | − | 0.143281i | −0.675178 | − | 0.737655i | \(-0.735933\pi\) |
0.804189 | + | 0.594374i | \(0.202600\pi\) | |||||||
\(308\) | 4.49026 | − | 13.8196i | 0.255856 | − | 0.787444i | ||||
\(309\) | −1.35073 | − | 9.87468i | −0.0768405 | − | 0.561751i | ||||
\(310\) | 3.99226 | − | 3.88096i | 0.226745 | − | 0.220424i | ||||
\(311\) | − | 2.52760i | − | 0.143327i | −0.997429 | − | 0.0716635i | \(-0.977169\pi\) | ||
0.997429 | − | 0.0716635i | \(-0.0228308\pi\) | |||||||
\(312\) | 9.89821 | + | 1.78293i | 0.560376 | + | 0.100938i | ||||
\(313\) | −3.06658 | − | 2.76116i | −0.173333 | − | 0.156070i | 0.577898 | − | 0.816109i | \(-0.303873\pi\) |
−0.751231 | + | 0.660039i | \(0.770540\pi\) | |||||||
\(314\) | 2.21995 | − | 3.05550i | 0.125279 | − | 0.172432i | ||||
\(315\) | −11.0138 | − | 2.83235i | −0.620555 | − | 0.159585i | ||||
\(316\) | 1.40770 | − | 0.812733i | 0.0791891 | − | 0.0457198i | ||||
\(317\) | −19.1881 | − | 2.01675i | −1.07771 | − | 0.113272i | −0.451000 | − | 0.892524i | \(-0.648933\pi\) |
−0.626711 | + | 0.779252i | \(0.715599\pi\) | |||||||
\(318\) | 7.80980 | − | 7.48645i | 0.437952 | − | 0.419819i | ||||
\(319\) | 3.51397 | + | 33.4332i | 0.196745 | + | 1.87190i | ||||
\(320\) | 0.743145 | − | 0.669131i | 0.0415431 | − | 0.0374055i | ||||
\(321\) | 22.2506 | − | 13.7901i | 1.24191 | − | 0.769686i | ||||
\(322\) | 5.13464 | + | 24.1566i | 0.286142 | + | 1.34619i | ||||
\(323\) | −20.8046 | − | 4.42216i | −1.15760 | − | 0.246056i | ||||
\(324\) | −8.92990 | + | 1.12115i | −0.496105 | + | 0.0622860i | ||||
\(325\) | 5.52250 | − | 1.79437i | 0.306333 | − | 0.0995337i | ||||
\(326\) | 9.97235 | − | 3.24021i | 0.552317 | − | 0.179459i | ||||
\(327\) | −2.07253 | + | 7.12858i | −0.114611 | + | 0.394212i | ||||
\(328\) | 6.55354 | + | 1.39300i | 0.361859 | + | 0.0769154i | ||||
\(329\) | 8.58748 | + | 40.4009i | 0.473443 | + | 2.22738i | ||||
\(330\) | −3.49759 | − | 5.64346i | −0.192536 | − | 0.310662i | ||||
\(331\) | −11.6819 | + | 10.5184i | −0.642096 | + | 0.578146i | −0.924515 | − | 0.381145i | \(-0.875530\pi\) |
0.282419 | + | 0.959291i | \(0.408863\pi\) | |||||||
\(332\) | −0.268407 | − | 2.55372i | −0.0147307 | − | 0.140154i | ||||
\(333\) | −7.10583 | − | 5.63645i | −0.389397 | − | 0.308876i | ||||
\(334\) | 10.5256 | + | 1.10628i | 0.575934 | + | 0.0605331i | ||||
\(335\) | 4.18096 | − | 2.41388i | 0.228430 | − | 0.131884i | ||||
\(336\) | 6.07850 | + | 2.48195i | 0.331610 | + | 0.135402i | ||||
\(337\) | 4.33257 | − | 5.96328i | 0.236010 | − | 0.324840i | −0.674540 | − | 0.738238i | \(-0.735658\pi\) |
0.910551 | + | 0.413398i | \(0.135658\pi\) | |||||||
\(338\) | −15.3963 | − | 13.8629i | −0.837449 | − | 0.754042i | ||||
\(339\) | −5.08479 | + | 28.2290i | −0.276168 | + | 1.53319i | ||||
\(340\) | 3.22360i | 0.174825i | ||||||||
\(341\) | 9.41963 | + | 19.1516i | 0.510102 | + | 1.03712i | ||||
\(342\) | 5.31570 | + | 19.0669i | 0.287440 | + | 1.03102i | ||||
\(343\) | −0.432754 | + | 1.33188i | −0.0233665 | + | 0.0719147i | ||||
\(344\) | −4.19649 | + | 4.66067i | −0.226259 | + | 0.251286i | ||||
\(345\) | 9.94381 | + | 5.33428i | 0.535357 | + | 0.287188i | ||||
\(346\) | −11.0158 | + | 19.0799i | −0.592212 | + | 1.02574i | ||||
\(347\) | −16.4142 | − | 28.4303i | −0.881161 | − | 1.52622i | −0.850051 | − | 0.526700i | \(-0.823429\pi\) |
−0.0311104 | − | 0.999516i | \(-0.509904\pi\) | |||||||
\(348\) | −15.1825 | + | 0.474215i | −0.813868 | + | 0.0254206i | ||||
\(349\) | 7.83553 | − | 5.69285i | 0.419426 | − | 0.304731i | −0.357981 | − | 0.933729i | \(-0.616535\pi\) |
0.777407 | + | 0.628998i | \(0.216535\pi\) | |||||||
\(350\) | 3.76994 | − | 0.396236i | 0.201512 | − | 0.0211797i | ||||
\(351\) | 27.4267 | + | 12.5760i | 1.46393 | + | 0.671258i | ||||
\(352\) | 1.55913 | + | 3.50186i | 0.0831019 | + | 0.186650i | ||||
\(353\) | 12.9693 | − | 2.75671i | 0.690285 | − | 0.146725i | 0.150604 | − | 0.988594i | \(-0.451878\pi\) |
0.539681 | + | 0.841869i | \(0.318545\pi\) | |||||||
\(354\) | −0.516013 | + | 7.00835i | −0.0274258 | + | 0.372490i | ||||
\(355\) | 0.227615 | + | 0.101341i | 0.0120806 | + | 0.00537861i | ||||
\(356\) | 0.242839 | + | 0.747380i | 0.0128704 | + | 0.0396111i | ||||
\(357\) | −19.0572 | + | 9.20810i | −1.00861 | + | 0.487344i | ||||
\(358\) | 7.43892 | − | 16.7081i | 0.393159 | − | 0.883050i | ||||
\(359\) | 6.31822 | − | 29.7249i | 0.333463 | − | 1.56882i | −0.417627 | − | 0.908619i | \(-0.637138\pi\) |
0.751090 | − | 0.660200i | \(-0.229529\pi\) | |||||||
\(360\) | 2.65914 | − | 1.38887i | 0.140149 | − | 0.0731998i | ||||
\(361\) | 22.4128 | − | 9.97884i | 1.17962 | − | 0.525202i | ||||
\(362\) | −13.9630 | − | 15.5074i | −0.733877 | − | 0.815053i | ||||
\(363\) | 6.21368 | − | 1.52496i | 0.326134 | − | 0.0800398i | ||||
\(364\) | −12.9380 | − | 17.8077i | −0.678137 | − | 0.933375i | ||||
\(365\) | 0.581415 | − | 5.53179i | 0.0304326 | − | 0.289547i | ||||
\(366\) | 13.7381 | − | 10.6522i | 0.718104 | − | 0.556798i | ||||
\(367\) | −5.02321 | − | 2.90015i | −0.262210 | − | 0.151387i | 0.363133 | − | 0.931737i | \(-0.381707\pi\) |
−0.625342 | + | 0.780351i | \(0.715041\pi\) | |||||||
\(368\) | −5.27071 | − | 3.82939i | −0.274755 | − | 0.199621i | ||||
\(369\) | 18.0002 | + | 8.94400i | 0.937055 | + | 0.465606i | ||||
\(370\) | 2.87532 | + | 0.934247i | 0.149481 | + | 0.0485692i | ||||
\(371\) | −23.6770 | −1.22925 | ||||||||
\(372\) | −8.94275 | + | 3.60932i | −0.463660 | + | 0.187134i | ||||
\(373\) | 2.50562 | 0.129736 | 0.0648682 | − | 0.997894i | \(-0.479337\pi\) | ||||
0.0648682 | + | 0.997894i | \(0.479337\pi\) | |||||||
\(374\) | −11.7521 | − | 3.81850i | −0.607689 | − | 0.197450i | ||||
\(375\) | 0.973832 | − | 1.43236i | 0.0502885 | − | 0.0739667i | ||||
\(376\) | −8.81505 | − | 6.40451i | −0.454602 | − | 0.330287i | ||||
\(377\) | 44.1017 | + | 25.4621i | 2.27135 | + | 1.31137i | ||||
\(378\) | 15.8064 | + | 11.7530i | 0.812993 | + | 0.604508i | ||||
\(379\) | −1.61390 | + | 15.3552i | −0.0829003 | + | 0.788744i | 0.871536 | + | 0.490331i | \(0.163124\pi\) |
−0.954437 | + | 0.298413i | \(0.903543\pi\) | |||||||
\(380\) | −3.87822 | − | 5.33791i | −0.198949 | − | 0.273829i | ||||
\(381\) | −1.72170 | − | 7.01533i | −0.0882055 | − | 0.359406i | ||||
\(382\) | 2.00096 | + | 2.22229i | 0.102378 | + | 0.113702i | ||||
\(383\) | 14.0927 | − | 6.27449i | 0.720105 | − | 0.320611i | −0.0137615 | − | 0.999905i | \(-0.504381\pi\) |
0.733866 | + | 0.679294i | \(0.237714\pi\) | |||||||
\(384\) | −1.62977 | + | 0.586399i | −0.0831686 | + | 0.0299245i | ||||
\(385\) | −3.02112 | + | 14.2132i | −0.153970 | + | 0.724374i | ||||
\(386\) | −10.9344 | + | 24.5590i | −0.556546 | + | 1.25002i | ||||
\(387\) | −15.6751 | + | 10.4059i | −0.796811 | + | 0.528959i | ||||
\(388\) | −0.473367 | − | 1.45688i | −0.0240316 | − | 0.0739616i | ||||
\(389\) | 27.1251 | + | 12.0769i | 1.37530 | + | 0.612321i | 0.955417 | − | 0.295259i | \(-0.0954061\pi\) |
0.419878 | + | 0.907580i | \(0.362073\pi\) | |||||||
\(390\) | −10.0303 | − | 0.738517i | −0.507906 | − | 0.0373963i | ||||
\(391\) | 20.5427 | − | 4.36649i | 1.03889 | − | 0.220823i | ||||
\(392\) | −2.99742 | − | 6.73231i | −0.151393 | − | 0.340033i | ||||
\(393\) | −12.3045 | − | 10.4021i | −0.620678 | − | 0.524717i | ||||
\(394\) | −13.4476 | + | 1.41340i | −0.677482 | + | 0.0712063i | ||||
\(395\) | −1.31503 | + | 0.955425i | −0.0661663 | + | 0.0480727i | ||||
\(396\) | 1.91346 | + | 11.3395i | 0.0961549 | + | 0.569831i | ||||
\(397\) | 14.6958 | + | 25.4539i | 0.737563 | + | 1.27750i | 0.953590 | + | 0.301109i | \(0.0973570\pi\) |
−0.216026 | + | 0.976388i | \(0.569310\pi\) | |||||||
\(398\) | −13.1442 | + | 22.7664i | −0.658857 | + | 1.14117i | ||||
\(399\) | 20.4785 | − | 38.1747i | 1.02521 | − | 1.91112i | ||||
\(400\) | −0.669131 | + | 0.743145i | −0.0334565 | + | 0.0371572i | ||||
\(401\) | 7.07767 | − | 21.7828i | 0.353442 | − | 1.08778i | −0.603465 | − | 0.797389i | \(-0.706214\pi\) |
0.956907 | − | 0.290393i | \(-0.0937862\pi\) | |||||||
\(402\) | −8.28476 | + | 1.13325i | −0.413206 | + | 0.0565215i | ||||
\(403\) | 31.8576 | + | 5.50843i | 1.58694 | + | 0.274395i | ||||
\(404\) | 5.91641i | 0.294353i | ||||||||
\(405\) | 8.76378 | − | 2.04843i | 0.435476 | − | 0.101788i | ||||
\(406\) | 24.7052 | + | 22.2447i | 1.22610 | + | 1.10398i | ||||
\(407\) | −6.81188 | + | 9.37575i | −0.337652 | + | 0.464739i | ||||
\(408\) | 2.11065 | − | 5.16914i | 0.104493 | − | 0.255911i | ||||
\(409\) | −26.4574 | + | 15.2752i | −1.30823 | + | 0.755309i | −0.981801 | − | 0.189911i | \(-0.939180\pi\) |
−0.326433 | + | 0.945220i | \(0.605847\pi\) | |||||||
\(410\) | −6.66325 | − | 0.700335i | −0.329074 | − | 0.0345871i | ||||
\(411\) | −14.7377 | − | 15.3742i | −0.726957 | − | 0.758355i | ||||
\(412\) | −0.601482 | − | 5.72272i | −0.0296329 | − | 0.281938i | ||||
\(413\) | 11.4294 | − | 10.2911i | 0.562403 | − | 0.506390i | ||||
\(414\) | −12.4526 | − | 15.0644i | −0.612011 | − | 0.740373i | ||||
\(415\) | 0.533873 | + | 2.51168i | 0.0262068 | + | 0.123293i | ||||
\(416\) | 5.67981 | + | 1.20728i | 0.278476 | + | 0.0591918i | ||||
\(417\) | 35.9384 | + | 10.4486i | 1.75991 | + | 0.511668i | ||||
\(418\) | 24.0541 | − | 7.81565i | 1.17652 | − | 0.382276i | ||||
\(419\) | −18.3640 | + | 5.96684i | −0.897142 | + | 0.291499i | −0.721057 | − | 0.692876i | \(-0.756343\pi\) |
−0.176085 | + | 0.984375i | \(0.556343\pi\) | |||||||
\(420\) | −6.30464 | − | 1.83298i | −0.307635 | − | 0.0894402i | ||||
\(421\) | 28.2768 | + | 6.01041i | 1.37813 | + | 0.292930i | 0.836627 | − | 0.547773i | \(-0.184524\pi\) |
0.541498 | + | 0.840702i | \(0.317857\pi\) | |||||||
\(422\) | −0.0712199 | − | 0.335064i | −0.00346693 | − | 0.0163106i | ||||
\(423\) | −20.8265 | − | 25.1945i | −1.01262 | − | 1.22500i | ||||
\(424\) | 4.64173 | − | 4.17943i | 0.225422 | − | 0.202971i | ||||
\(425\) | −0.336958 | − | 3.20595i | −0.0163449 | − | 0.155511i | ||||
\(426\) | −0.298635 | − | 0.311533i | −0.0144689 | − | 0.0150938i | ||||
\(427\) | −37.8377 | − | 3.97690i | −1.83109 | − | 0.192456i | ||||
\(428\) | 13.0887 | − | 7.55676i | 0.632666 | − | 0.365270i | ||||
\(429\) | 14.5738 | − | 35.6924i | 0.703628 | − | 1.72324i | ||||
\(430\) | 3.68632 | − | 5.07379i | 0.177770 | − | 0.244680i | ||||
\(431\) | −9.80730 | − | 8.83054i | −0.472401 | − | 0.425352i | 0.398232 | − | 0.917285i | \(-0.369624\pi\) |
−0.870633 | + | 0.491933i | \(0.836291\pi\) | |||||||
\(432\) | −5.17337 | + | 0.486024i | −0.248904 | + | 0.0233839i | ||||
\(433\) | 2.20724i | 0.106073i | 0.998593 | + | 0.0530366i | \(0.0168900\pi\) | ||||
−0.998593 | + | 0.0530366i | \(0.983110\pi\) | |||||||
\(434\) | 19.5950 | + | 7.84138i | 0.940592 | + | 0.376398i | ||||
\(435\) | 15.0498 | − | 2.05862i | 0.721582 | − | 0.0987034i | ||||
\(436\) | −1.32448 | + | 4.07633i | −0.0634310 | + | 0.195221i | ||||
\(437\) | −28.7631 | + | 31.9447i | −1.37593 | + | 1.52812i | ||||
\(438\) | −4.55424 | + | 8.48971i | −0.217610 | + | 0.405654i | ||||
\(439\) | 12.1059 | − | 20.9680i | 0.577783 | − | 1.00075i | −0.417950 | − | 0.908470i | \(-0.637251\pi\) |
0.995733 | − | 0.0922794i | \(-0.0294153\pi\) | |||||||
\(440\) | −1.91663 | − | 3.31971i | −0.0913719 | − | 0.158261i | ||||
\(441\) | −3.67861 | − | 21.8001i | −0.175172 | − | 1.03810i | ||||
\(442\) | −15.1436 | + | 11.0025i | −0.720307 | + | 0.523334i | ||||
\(443\) | −27.2032 | + | 2.85917i | −1.29246 | + | 0.135843i | −0.725684 | − | 0.688028i | \(-0.758477\pi\) |
−0.566777 | + | 0.823871i | \(0.691810\pi\) | |||||||
\(444\) | −3.99896 | − | 3.38070i | −0.189782 | − | 0.160441i | ||||
\(445\) | −0.319631 | − | 0.717903i | −0.0151520 | − | 0.0340319i | ||||
\(446\) | −13.4061 | + | 2.84956i | −0.634799 | + | 0.134931i | ||||
\(447\) | 12.6446 | + | 0.931000i | 0.598069 | + | 0.0440348i | ||||
\(448\) | 3.46298 | + | 1.54182i | 0.163610 | + | 0.0728441i | ||||
\(449\) | −7.99247 | − | 24.5983i | −0.377188 | − | 1.16087i | −0.941991 | − | 0.335639i | \(-0.891048\pi\) |
0.564803 | − | 0.825226i | \(-0.308952\pi\) | |||||||
\(450\) | −2.49940 | + | 1.65922i | −0.117823 | + | 0.0782162i | ||||
\(451\) | 10.4461 | − | 23.4623i | 0.491887 | − | 1.10480i | ||||
\(452\) | −3.44308 | + | 16.1984i | −0.161949 | + | 0.761910i | ||||
\(453\) | −23.2747 | + | 8.37435i | −1.09354 | + | 0.393461i | ||||
\(454\) | 2.13530 | − | 0.950698i | 0.100215 | − | 0.0446185i | ||||
\(455\) | 14.7286 | + | 16.3577i | 0.690485 | + | 0.766862i | ||||
\(456\) | 2.72386 | + | 11.0988i | 0.127556 | + | 0.519747i | ||||
\(457\) | −2.36208 | − | 3.25113i | −0.110494 | − | 0.152081i | 0.750189 | − | 0.661224i | \(-0.229963\pi\) |
−0.860682 | + | 0.509143i | \(0.829963\pi\) | |||||||
\(458\) | −0.790663 | + | 7.52266i | −0.0369453 | + | 0.351511i | ||||
\(459\) | 9.99471 | − | 13.4417i | 0.466513 | − | 0.627406i | ||||
\(460\) | 5.64212 | + | 3.25748i | 0.263065 | + | 0.151881i | ||||
\(461\) | 31.7223 | + | 23.0476i | 1.47746 | + | 1.07344i | 0.978365 | + | 0.206886i | \(0.0663329\pi\) |
0.499092 | + | 0.866549i | \(0.333667\pi\) | |||||||
\(462\) | 14.1505 | − | 20.8133i | 0.658342 | − | 0.968322i | ||||
\(463\) | −17.8743 | − | 5.80772i | −0.830691 | − | 0.269908i | −0.137354 | − | 0.990522i | \(-0.543860\pi\) |
−0.693336 | + | 0.720614i | \(0.743860\pi\) | |||||||
\(464\) | −8.76991 | −0.407133 | ||||||||
\(465\) | 8.51649 | − | 4.52432i | 0.394943 | − | 0.209810i | ||||
\(466\) | −1.70188 | −0.0788380 | ||||||||
\(467\) | −25.4428 | − | 8.26686i | −1.17735 | − | 0.382544i | −0.345969 | − | 0.938246i | \(-0.612450\pi\) |
−0.831382 | + | 0.555702i | \(0.812450\pi\) | |||||||
\(468\) | 15.6004 | + | 7.75158i | 0.721130 | + | 0.358317i | ||||
\(469\) | 14.8055 | + | 10.7568i | 0.683653 | + | 0.496703i | ||||
\(470\) | 9.43622 | + | 5.44800i | 0.435260 | + | 0.251298i | ||||
\(471\) | 5.16966 | − | 4.00841i | 0.238205 | − | 0.184698i | ||||
\(472\) | −0.424096 | + | 4.03500i | −0.0195206 | + | 0.185726i | ||||
\(473\) | 14.1307 | + | 19.4492i | 0.649729 | + | 0.894275i | ||||
\(474\) | 2.73425 | − | 0.671040i | 0.125588 | − | 0.0308219i | ||||
\(475\) | 4.41494 | + | 4.90329i | 0.202571 | + | 0.224978i | ||||
\(476\) | −11.1633 | + | 4.97021i | −0.511668 | + | 0.227809i | ||||
\(477\) | 16.6092 | − | 8.67496i | 0.760482 | − | 0.397199i | ||||
\(478\) | 0.455481 | − | 2.14287i | 0.0208332 | − | 0.0980126i | ||||
\(479\) | 8.62513 | − | 19.3724i | 0.394092 | − | 0.885146i | −0.602137 | − | 0.798392i | \(-0.705684\pi\) |
0.996230 | − | 0.0867535i | \(-0.0276493\pi\) | |||||||
\(480\) | 1.55954 | − | 0.753543i | 0.0711830 | − | 0.0343944i | ||||
\(481\) | 5.42489 | + | 16.6961i | 0.247354 | + | 0.761277i | ||||
\(482\) | −7.66982 | − | 3.41482i | −0.349351 | − | 0.155541i | ||||
\(483\) | −3.14096 | + | 42.6597i | −0.142919 | + | 1.94108i | ||||
\(484\) | 3.61321 | − | 0.768012i | 0.164237 | − | 0.0349096i | ||||
\(485\) | 0.623059 | + | 1.39941i | 0.0282917 | + | 0.0635441i | ||||
\(486\) | −15.3942 | − | 2.45334i | −0.698295 | − | 0.111286i | ||||
\(487\) | 25.5534 | − | 2.68577i | 1.15794 | − | 0.121704i | 0.493978 | − | 0.869474i | \(-0.335542\pi\) |
0.663958 | + | 0.747770i | \(0.268876\pi\) | |||||||
\(488\) | 8.11985 | − | 5.89942i | 0.367568 | − | 0.267054i | ||||
\(489\) | 18.1526 | − | 0.566985i | 0.820891 | − | 0.0256399i | ||||
\(490\) | 3.68472 | + | 6.38212i | 0.166459 | + | 0.288315i | ||||
\(491\) | −10.3920 | + | 17.9996i | −0.468987 | + | 0.812309i | −0.999372 | − | 0.0354484i | \(-0.988714\pi\) |
0.530385 | + | 0.847757i | \(0.322047\pi\) | |||||||
\(492\) | 10.2262 | + | 5.48575i | 0.461031 | + | 0.247317i | ||||
\(493\) | 18.9168 | − | 21.0092i | 0.851970 | − | 0.946208i | ||||
\(494\) | 11.8393 | − | 36.4376i | 0.532675 | − | 1.63940i | ||||
\(495\) | −3.08827 | − | 11.0774i | −0.138808 | − | 0.497890i | ||||
\(496\) | −5.22564 | + | 1.92164i | −0.234638 | + | 0.0862840i | ||||
\(497\) | 0.944475i | 0.0423655i | ||||||||
\(498\) | 0.788431 | − | 4.37710i | 0.0353304 | − | 0.196142i | ||||
\(499\) | 4.45339 | + | 4.00985i | 0.199361 | + | 0.179506i | 0.762764 | − | 0.646676i | \(-0.223842\pi\) |
−0.563403 | + | 0.826182i | \(0.690508\pi\) | |||||||
\(500\) | 0.587785 | − | 0.809017i | 0.0262866 | − | 0.0361803i | ||||
\(501\) | 16.9710 | + | 6.92955i | 0.758210 | + | 0.309589i | ||||
\(502\) | 7.21622 | − | 4.16629i | 0.322076 | − | 0.185951i | ||||
\(503\) | 40.9598 | + | 4.30504i | 1.82631 | + | 0.191952i | 0.954562 | − | 0.298011i | \(-0.0963232\pi\) |
0.871743 | + | 0.489963i | \(0.162990\pi\) | |||||||
\(504\) | 8.90954 | + | 7.06718i | 0.396862 | + | 0.314797i | ||||
\(505\) | −0.618434 | − | 5.88400i | −0.0275199 | − | 0.261835i | ||||
\(506\) | −18.5590 | + | 16.7106i | −0.825047 | + | 0.742876i | ||||
\(507\) | −18.9036 | − | 30.5014i | −0.839536 | − | 1.35461i | ||||
\(508\) | −0.867094 | − | 4.07936i | −0.0384711 | − | 0.180992i | ||||
\(509\) | −9.09295 | − | 1.93277i | −0.403038 | − | 0.0856683i | 0.00193257 | − | 0.999998i | \(-0.499385\pi\) |
−0.404970 | + | 0.914330i | \(0.632718\pi\) | |||||||
\(510\) | −1.55876 | + | 5.36145i | −0.0690231 | + | 0.237409i | ||||
\(511\) | 20.0529 | − | 6.51559i | 0.887089 | − | 0.288233i | ||||
\(512\) | −0.951057 | + | 0.309017i | −0.0420312 | + | 0.0136568i | ||||
\(513\) | −0.378744 | + | 34.2822i | −0.0167220 | + | 1.51360i | ||||
\(514\) | 10.5453 | + | 2.24146i | 0.465131 | + | 0.0988667i | ||||
\(515\) | 1.19637 | + | 5.62849i | 0.0527185 | + | 0.248021i | ||||
\(516\) | −9.23318 | + | 5.72236i | −0.406468 | + | 0.251913i | ||||
\(517\) | −31.0391 | + | 27.9478i | −1.36510 | + | 1.22914i | ||||
\(518\) | 1.19794 | + | 11.3976i | 0.0526343 | + | 0.500782i | ||||
\(519\) | −27.5473 | + | 26.4068i | −1.20919 | + | 1.15913i | ||||
\(520\) | −5.77489 | − | 0.606965i | −0.253246 | − | 0.0266172i | ||||
\(521\) | 17.9336 | − | 10.3540i | 0.785687 | − | 0.453616i | −0.0527551 | − | 0.998607i | \(-0.516800\pi\) |
0.838442 | + | 0.544991i | \(0.183467\pi\) | |||||||
\(522\) | −25.4806 | − | 6.55274i | −1.11526 | − | 0.286805i | ||||
\(523\) | 3.02719 | − | 4.16657i | 0.132370 | − | 0.182191i | −0.737687 | − | 0.675143i | \(-0.764082\pi\) |
0.870057 | + | 0.492951i | \(0.164082\pi\) | |||||||
\(524\) | −6.91303 | − | 6.22452i | −0.301997 | − | 0.271919i | ||||
\(525\) | 6.46170 | + | 1.16392i | 0.282012 | + | 0.0507978i | ||||
\(526\) | 4.51468i | 0.196850i | ||||||||
\(527\) | 6.66829 | − | 16.6636i | 0.290475 | − | 0.725876i | ||||
\(528\) | 0.899810 | + | 6.57816i | 0.0391592 | + | 0.286277i | ||||
\(529\) | 6.00872 | − | 18.4930i | 0.261249 | − | 0.804041i | ||||
\(530\) | −4.17943 | + | 4.64173i | −0.181543 | + | 0.201624i | ||||
\(531\) | −4.24708 | + | 11.4067i | −0.184308 | + | 0.495007i | ||||
\(532\) | 12.5056 | − | 21.6603i | 0.542185 | − | 0.939093i | ||||
\(533\) | −19.4523 | − | 33.6924i | −0.842573 | − | 1.45938i | ||||
\(534\) | 0.0424928 | + | 1.36046i | 0.00183885 | + | 0.0588727i | ||||
\(535\) | −12.2271 | + | 8.88351i | −0.528623 | + | 0.384067i | ||||
\(536\) | −4.80130 | + | 0.504637i | −0.207385 | + | 0.0217970i | ||||
\(537\) | 20.4514 | − | 24.1916i | 0.882544 | − | 1.04394i | ||||
\(538\) | 8.16248 | + | 18.3332i | 0.351909 | + | 0.790402i | ||||
\(539\) | −27.6317 | + | 5.87330i | −1.19018 | + | 0.252981i | ||||
\(540\) | 5.09423 | − | 1.02413i | 0.219221 | − | 0.0440714i | ||||
\(541\) | −8.89548 | − | 3.96052i | −0.382447 | − | 0.170276i | 0.206503 | − | 0.978446i | \(-0.433792\pi\) |
−0.588950 | + | 0.808170i | \(0.700458\pi\) | |||||||
\(542\) | −9.08634 | − | 27.9649i | −0.390292 | − | 1.20119i | ||||
\(543\) | −15.7244 | − | 32.5435i | −0.674799 | − | 1.39657i | ||||
\(544\) | 1.31116 | − | 2.94491i | 0.0562154 | − | 0.126262i | ||||
\(545\) | 0.891131 | − | 4.19244i | 0.0381719 | − | 0.179585i | ||||
\(546\) | −12.9075 | − | 35.8736i | −0.552390 | − | 1.53525i | ||||
\(547\) | 37.5364 | − | 16.7123i | 1.60494 | − | 0.714566i | 0.608091 | − | 0.793867i | \(-0.291935\pi\) |
0.996851 | + | 0.0793009i | \(0.0252688\pi\) | |||||||
\(548\) | −8.22756 | − | 9.13763i | −0.351464 | − | 0.390340i | ||||
\(549\) | 27.9999 | − | 11.0735i | 1.19501 | − | 0.472606i | ||||
\(550\) | 2.25314 | + | 3.10118i | 0.0960741 | + | 0.132235i | ||||
\(551\) | −6.04844 | + | 57.5470i | −0.257672 | + | 2.45159i | ||||
\(552\) | −6.91448 | − | 8.91762i | −0.294300 | − | 0.379559i | ||||
\(553\) | −5.33616 | − | 3.08083i | −0.226916 | − | 0.131010i | ||||
\(554\) | −22.6196 | − | 16.4341i | −0.961017 | − | 0.698219i | ||||
\(555\) | 4.33043 | + | 2.94417i | 0.183817 | + | 0.124973i | ||||
\(556\) | 20.5506 | + | 6.67730i | 0.871541 | + | 0.283181i | ||||
\(557\) | 30.1693 | 1.27831 | 0.639157 | − | 0.769076i | \(-0.279283\pi\) | ||||
0.639157 | + | 0.769076i | \(0.279283\pi\) | |||||||
\(558\) | −16.6187 | + | 1.67873i | −0.703527 | + | 0.0710662i | ||||
\(559\) | 36.4170 | 1.54028 | ||||||||
\(560\) | −3.60517 | − | 1.17139i | −0.152346 | − | 0.0495003i | ||||
\(561\) | −17.6996 | − | 12.0336i | −0.747276 | − | 0.508058i | ||||
\(562\) | 3.45156 | + | 2.50771i | 0.145595 | + | 0.105781i | ||||
\(563\) | −26.0865 | − | 15.0611i | −1.09942 | − | 0.634748i | −0.163348 | − | 0.986568i | \(-0.552229\pi\) |
−0.936068 | + | 0.351820i | \(0.885563\pi\) | |||||||
\(564\) | −11.5642 | − | 14.9144i | −0.486940 | − | 0.628008i | ||||
\(565\) | 1.73102 | − | 16.4696i | 0.0728247 | − | 0.692881i | ||||
\(566\) | −0.643179 | − | 0.885260i | −0.0270348 | − | 0.0372103i | ||||
\(567\) | 20.6059 | + | 27.1905i | 0.865364 | + | 1.14189i | ||||
\(568\) | −0.166718 | − | 0.185159i | −0.00699532 | − | 0.00776909i | ||||
\(569\) | −8.74159 | + | 3.89201i | −0.366467 | + | 0.163161i | −0.581705 | − | 0.813400i | \(-0.697614\pi\) |
0.215238 | + | 0.976562i | \(0.430947\pi\) | |||||||
\(570\) | −3.86907 | − | 10.7532i | −0.162058 | − | 0.450403i | ||||
\(571\) | −2.28339 | + | 10.7425i | −0.0955571 | + | 0.449561i | 0.904191 | + | 0.427128i | \(0.140475\pi\) |
−0.999748 | + | 0.0224330i | \(0.992859\pi\) | |||||||
\(572\) | 9.05340 | − | 20.3343i | 0.378542 | − | 0.850219i | ||||
\(573\) | 2.25338 | + | 4.66363i | 0.0941364 | + | 0.194826i | ||||
\(574\) | −7.84827 | − | 24.1545i | −0.327580 | − | 1.00819i | ||||
\(575\) | −5.95171 | − | 2.64987i | −0.248203 | − | 0.110507i | ||||
\(576\) | −2.99415 | + | 0.187223i | −0.124756 | + | 0.00780096i | ||||
\(577\) | 27.3387 | − | 5.81101i | 1.13812 | − | 0.241916i | 0.399957 | − | 0.916534i | \(-0.369025\pi\) |
0.738167 | + | 0.674618i | \(0.235692\pi\) | |||||||
\(578\) | −2.68787 | − | 6.03705i | −0.111801 | − | 0.251108i | ||||
\(579\) | −30.0613 | + | 35.5590i | −1.24931 | + | 1.47778i | ||||
\(580\) | 8.72186 | − | 0.916705i | 0.362156 | − | 0.0380641i | ||||
\(581\) | −7.87475 | + | 5.72134i | −0.326700 | + | 0.237361i | ||||
\(582\) | −0.0828317 | − | 2.65195i | −0.00343348 | − | 0.109927i | ||||
\(583\) | −11.9714 | − | 20.7351i | −0.495805 | − | 0.858760i | ||||
\(584\) | −2.78113 | + | 4.81706i | −0.115084 | + | 0.199331i | ||||
\(585\) | −16.3252 | − | 6.07842i | −0.674965 | − | 0.251312i | ||||
\(586\) | 0.598319 | − | 0.664501i | 0.0247163 | − | 0.0274503i | ||||
\(587\) | −6.55193 | + | 20.1648i | −0.270427 | + | 0.832289i | 0.719966 | + | 0.694009i | \(0.244157\pi\) |
−0.990393 | + | 0.138280i | \(0.955843\pi\) | |||||||
\(588\) | −1.72988 | − | 12.6465i | −0.0713391 | − | 0.521532i | ||||
\(589\) | 9.00552 | + | 35.6153i | 0.371066 | + | 1.46750i | ||||
\(590\) | − | 4.05723i | − | 0.167033i | ||||||
\(591\) | −23.0494 | − | 4.15180i | −0.948124 | − | 0.170782i | ||||
\(592\) | −2.24674 | − | 2.02297i | −0.0923405 | − | 0.0831437i | ||||
\(593\) | 1.95779 | − | 2.69467i | 0.0803969 | − | 0.110657i | −0.766924 | − | 0.641737i | \(-0.778214\pi\) |
0.847321 | + | 0.531081i | \(0.178214\pi\) | |||||||
\(594\) | −2.30073 | + | 19.7849i | −0.0944001 | + | 0.811785i | ||||
\(595\) | 10.5826 | − | 6.10986i | 0.433844 | − | 0.250480i | ||||
\(596\) | 7.28003 | + | 0.765162i | 0.298202 | + | 0.0313422i | ||||
\(597\) | −32.8698 | + | 31.5089i | −1.34527 | + | 1.28957i | ||||
\(598\) | 3.95435 | + | 37.6232i | 0.161706 | + | 1.53853i | ||||
\(599\) | 28.6763 | − | 25.8203i | 1.17168 | − | 1.05499i | 0.174154 | − | 0.984718i | \(-0.444281\pi\) |
0.997528 | − | 0.0702685i | \(-0.0223856\pi\) | |||||||
\(600\) | −1.47223 | + | 0.912432i | −0.0601036 | + | 0.0372499i | ||||
\(601\) | −1.38410 | − | 6.51169i | −0.0564587 | − | 0.265617i | 0.940860 | − | 0.338795i | \(-0.110019\pi\) |
−0.997319 | + | 0.0731777i | \(0.976686\pi\) | |||||||
\(602\) | 23.2541 | + | 4.94281i | 0.947765 | + | 0.201454i | ||||
\(603\) | −14.3271 | − | 2.12125i | −0.583443 | − | 0.0863841i | ||||
\(604\) | −13.5820 | + | 4.41307i | −0.552645 | + | 0.179565i | ||||
\(605\) | −3.51314 | + | 1.14149i | −0.142829 | + | 0.0464081i | ||||
\(606\) | −2.86086 | + | 9.84009i | −0.116214 | + | 0.399726i | ||||
\(607\) | −6.36079 | − | 1.35203i | −0.258177 | − | 0.0548771i | 0.0770048 | − | 0.997031i | \(-0.475464\pi\) |
−0.335182 | + | 0.942154i | \(0.608798\pi\) | |||||||
\(608\) | 1.37181 | + | 6.45384i | 0.0556341 | + | 0.261738i | ||||
\(609\) | 30.3330 | + | 48.9431i | 1.22915 | + | 1.98327i | ||||
\(610\) | −7.45871 | + | 6.71586i | −0.301995 | + | 0.271917i | ||||
\(611\) | 6.61350 | + | 62.9232i | 0.267553 | + | 2.54560i | ||||
\(612\) | 6.00991 | − | 7.57665i | 0.242936 | − | 0.306268i | ||||
\(613\) | 22.0026 | + | 2.31257i | 0.888678 | + | 0.0934038i | 0.537854 | − | 0.843038i | \(-0.319235\pi\) |
0.350823 | + | 0.936442i | \(0.385902\pi\) | |||||||
\(614\) | 2.92560 | − | 1.68909i | 0.118068 | − | 0.0681663i | ||||
\(615\) | −10.7436 | − | 4.38677i | −0.433222 | − | 0.176892i | ||||
\(616\) | 8.54098 | − | 11.7556i | 0.344126 | − | 0.473648i | ||||
\(617\) | −20.3409 | − | 18.3150i | −0.818894 | − | 0.737336i | 0.148961 | − | 0.988843i | \(-0.452407\pi\) |
−0.967855 | + | 0.251507i | \(0.919074\pi\) | |||||||
\(618\) | 1.76682 | − | 9.80878i | 0.0710719 | − | 0.394567i | ||||
\(619\) | 15.3993i | 0.618949i | 0.950908 | + | 0.309475i | \(0.100153\pi\) | ||||
−0.950908 | + | 0.309475i | \(0.899847\pi\) | |||||||
\(620\) | 4.99615 | − | 2.45734i | 0.200650 | − | 0.0986891i | ||||
\(621\) | −13.4266 | − | 31.0762i | −0.538793 | − | 1.24705i | ||||
\(622\) | 0.781071 | − | 2.40389i | 0.0313181 | − | 0.0963872i | ||||
\(623\) | 1.99327 | − | 2.21375i | 0.0798587 | − | 0.0886921i | ||||
\(624\) | 8.86280 | + | 4.75438i | 0.354796 | + | 0.190328i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −2.06324 | − | 3.57364i | −0.0824638 | − | 0.142832i | ||||
\(627\) | 43.7856 | − | 1.36761i | 1.74863 | − | 0.0546172i | ||||
\(628\) | 3.05550 | − | 2.21995i | 0.121928 | − | 0.0885856i | ||||
\(629\) | 9.69249 | − | 1.01872i | 0.386465 | − | 0.0406191i | ||||
\(630\) | −9.59945 | − | 6.09716i | −0.382451 | − | 0.242917i | ||||
\(631\) | −0.658428 | − | 1.47885i | −0.0262116 | − | 0.0588723i | 0.899965 | − | 0.435962i | \(-0.143592\pi\) |
−0.926177 | + | 0.377089i | \(0.876925\pi\) | |||||||
\(632\) | 1.58995 | − | 0.337954i | 0.0632447 | − | 0.0134431i | ||||
\(633\) | 0.0435666 | − | 0.591711i | 0.00173162 | − | 0.0235184i | ||||
\(634\) | −17.6258 | − | 7.84749i | −0.700008 | − | 0.311664i | ||||
\(635\) | 1.28875 | + | 3.96638i | 0.0511426 | + | 0.157401i | ||||
\(636\) | 9.74100 | − | 4.70668i | 0.386256 | − | 0.186632i | ||||
\(637\) | −17.4051 | + | 39.0925i | −0.689616 | + | 1.54890i | ||||
\(638\) | −6.98945 | + | 32.8828i | −0.276715 | + | 1.30184i | ||||
\(639\) | −0.346044 | − | 0.662541i | −0.0136893 | − | 0.0262097i | ||||
\(640\) | 0.913545 | − | 0.406737i | 0.0361111 | − | 0.0160777i | ||||
\(641\) | 25.2274 | + | 28.0179i | 0.996424 | + | 1.10664i | 0.994297 | + | 0.106643i | \(0.0340102\pi\) |
0.00212656 | + | 0.999998i | \(0.499323\pi\) | |||||||
\(642\) | 25.4230 | − | 6.23931i | 1.00336 | − | 0.246246i | ||||
\(643\) | 3.04245 | + | 4.18757i | 0.119982 | + | 0.165142i | 0.864783 | − | 0.502145i | \(-0.167456\pi\) |
−0.744801 | + | 0.667287i | \(0.767456\pi\) | |||||||
\(644\) | −2.58146 | + | 24.5610i | −0.101724 | + | 0.967838i | ||||
\(645\) | 8.58445 | − | 6.65614i | 0.338012 | − | 0.262085i | ||||
\(646\) | −18.4199 | − | 10.6347i | −0.724719 | − | 0.418417i | ||||
\(647\) | −0.412670 | − | 0.299822i | −0.0162237 | − | 0.0117872i | 0.579644 | − | 0.814870i | \(-0.303192\pi\) |
−0.595868 | + | 0.803083i | \(0.703192\pi\) | |||||||
\(648\) | −8.83929 | − | 1.69321i | −0.347240 | − | 0.0665157i | ||||
\(649\) | 14.7912 | + | 4.80597i | 0.580607 | + | 0.188651i | ||||
\(650\) | 5.80670 | 0.227758 | ||||||||
\(651\) | 28.7985 | + | 22.5168i | 1.12870 | + | 0.882501i | ||||
\(652\) | 10.4855 | 0.410646 | ||||||||
\(653\) | 34.1949 | + | 11.1106i | 1.33815 | + | 0.434792i | 0.888690 | − | 0.458508i | \(-0.151616\pi\) |
0.449461 | + | 0.893300i | \(0.351616\pi\) | |||||||
\(654\) | −4.17394 | + | 6.13924i | −0.163214 | + | 0.240063i | ||||
\(655\) | 7.52580 | + | 5.46781i | 0.294057 | + | 0.213645i | ||||
\(656\) | 5.80233 | + | 3.34997i | 0.226543 | + | 0.130795i | ||||
\(657\) | −11.6797 | + | 11.9178i | −0.455669 | + | 0.464957i | ||||
\(658\) | −4.31739 | + | 41.0773i | −0.168310 | + | 1.60136i | ||||
\(659\) | −10.8518 | − | 14.9362i | −0.422726 | − | 0.581833i | 0.543538 | − | 0.839384i | \(-0.317084\pi\) |
−0.966265 | + | 0.257552i | \(0.917084\pi\) | |||||||
\(660\) | −1.58249 | − | 6.44806i | −0.0615982 | − | 0.250991i | ||||
\(661\) | 11.4718 | + | 12.7408i | 0.446202 | + | 0.495558i | 0.923722 | − | 0.383063i | \(-0.125131\pi\) |
−0.477520 | + | 0.878621i | \(0.658464\pi\) | |||||||
\(662\) | −14.3605 | + | 6.39372i | −0.558138 | + | 0.248499i | ||||
\(663\) | −30.5068 | + | 10.9765i | −1.18479 | + | 0.426292i | ||||
\(664\) | 0.533873 | − | 2.51168i | 0.0207183 | − | 0.0974720i | ||||
\(665\) | −10.1730 | + | 22.8488i | −0.394490 | + | 0.886039i | ||||
\(666\) | −5.01629 | − | 7.55641i | −0.194377 | − | 0.292805i | ||||
\(667\) | −17.6559 | − | 54.3391i | −0.683637 | − | 2.10402i | ||||
\(668\) | 9.66856 | + | 4.30472i | 0.374088 | + | 0.166555i | ||||
\(669\) | −23.6748 | − | 1.74313i | −0.915320 | − | 0.0673934i | ||||
\(670\) | 4.72225 | − | 1.00375i | 0.182437 | − | 0.0387781i | ||||
\(671\) | −15.6485 | − | 35.1471i | −0.604104 | − | 1.35684i | ||||
\(672\) | 5.01404 | + | 4.23884i | 0.193421 | + | 0.163517i | ||||
\(673\) | 23.9167 | − | 2.51375i | 0.921921 | − | 0.0968978i | 0.368338 | − | 0.929692i | \(-0.379927\pi\) |
0.553583 | + | 0.832794i | \(0.313260\pi\) | |||||||
\(674\) | 5.96328 | − | 4.33257i | 0.229697 | − | 0.166884i | ||||
\(675\) | −4.95927 | + | 1.55101i | −0.190882 | + | 0.0596983i | ||||
\(676\) | −10.3589 | − | 17.9421i | −0.398419 | − | 0.690081i | ||||
\(677\) | 22.5736 | − | 39.0987i | 0.867576 | − | 1.50269i | 0.00310893 | − | 0.999995i | \(-0.499010\pi\) |
0.864467 | − | 0.502690i | \(-0.167656\pi\) | |||||||
\(678\) | −13.5592 | + | 25.2761i | −0.520736 | + | 0.970722i | ||||
\(679\) | −3.88550 | + | 4.31528i | −0.149112 | + | 0.165605i | ||||
\(680\) | −0.996149 | + | 3.06583i | −0.0382006 | + | 0.117569i | ||||
\(681\) | 4.01111 | − | 0.548670i | 0.153706 | − | 0.0210251i | ||||
\(682\) | 3.04044 | + | 21.1250i | 0.116425 | + | 0.808920i | ||||
\(683\) | − | 35.5311i | − | 1.35956i | −0.733417 | − | 0.679779i | \(-0.762076\pi\) | ||
0.733417 | − | 0.679779i | \(-0.237924\pi\) | |||||||
\(684\) | −0.836476 | + | 19.7764i | −0.0319835 | + | 0.756169i | ||||
\(685\) | 9.13763 | + | 8.22756i | 0.349131 | + | 0.314359i | ||||
\(686\) | −0.823147 | + | 1.13296i | −0.0314279 | + | 0.0432568i | ||||
\(687\) | −4.95257 | + | 12.1292i | −0.188952 | + | 0.462760i | ||||
\(688\) | −5.43132 | + | 3.13577i | −0.207067 | + | 0.119550i | ||||
\(689\) | −36.0703 | − | 3.79114i | −1.37417 | − | 0.144431i | ||||
\(690\) | 7.80874 | + | 8.14601i | 0.297274 | + | 0.310113i | ||||
\(691\) | 4.77507 | + | 45.4318i | 0.181652 | + | 1.72831i | 0.583080 | + | 0.812415i | \(0.301848\pi\) |
−0.401427 | + | 0.915891i | \(0.631486\pi\) | |||||||
\(692\) | −16.3726 | + | 14.7420i | −0.622395 | + | 0.560407i | ||||
\(693\) | 33.5991 | − | 27.7739i | 1.27633 | − | 1.05504i | ||||
\(694\) | −6.82542 | − | 32.1111i | −0.259089 | − | 1.21892i | ||||
\(695\) | −21.1360 | − | 4.49260i | −0.801735 | − | 0.170414i | ||||
\(696\) | −14.5860 | − | 4.24065i | −0.552880 | − | 0.160741i | ||||
\(697\) | −20.5409 | + | 6.67414i | −0.778042 | + | 0.252801i | ||||
\(698\) | 9.21122 | − | 2.99291i | 0.348650 | − | 0.113283i | ||||
\(699\) | −2.83054 | − | 0.822936i | −0.107061 | − | 0.0311263i | ||||
\(700\) | 3.70787 | + | 0.788132i | 0.140144 | + | 0.0297886i | ||||
\(701\) | −3.26493 | − | 15.3603i | −0.123315 | − | 0.580150i | −0.995804 | − | 0.0915162i | \(-0.970829\pi\) |
0.872489 | − | 0.488634i | \(-0.162505\pi\) | |||||||
\(702\) | 22.1981 | + | 20.4358i | 0.837815 | + | 0.771300i | ||||
\(703\) | −14.8240 | + | 13.3476i | −0.559099 | + | 0.503415i | ||||
\(704\) | 0.400685 | + | 3.81227i | 0.0151014 | + | 0.143680i | ||||
\(705\) | 13.0598 | + | 13.6239i | 0.491861 | + | 0.513105i | ||||
\(706\) | 13.1864 | + | 1.38595i | 0.496276 | + | 0.0521607i | ||||
\(707\) | 19.4227 | − | 11.2137i | 0.730465 | − | 0.421734i | ||||
\(708\) | −2.65646 | + | 6.50588i | −0.0998358 | + | 0.244506i | ||||
\(709\) | −8.45075 | + | 11.6315i | −0.317375 | + | 0.436829i | −0.937663 | − | 0.347545i | \(-0.887015\pi\) |
0.620289 | + | 0.784374i | \(0.287015\pi\) | |||||||
\(710\) | 0.185159 | + | 0.166718i | 0.00694888 | + | 0.00625680i | ||||
\(711\) | 4.87204 | + | 0.206071i | 0.182716 | + | 0.00772828i | ||||
\(712\) | 0.785842i | 0.0294507i | ||||||||
\(713\) | −22.4271 | − | 28.5098i | −0.839900 | − | 1.06770i | ||||
\(714\) | −20.9699 | + | 2.86842i | −0.784780 | + | 0.107348i | ||||
\(715\) | −6.87830 | + | 21.1692i | −0.257234 | + | 0.791684i | ||||
\(716\) | 12.2379 | − | 13.5916i | 0.457352 | − | 0.507941i | ||||
\(717\) | 1.79373 | − | 3.34374i | 0.0669879 | − | 0.124874i | ||||
\(718\) | 15.1945 | − | 26.3176i | 0.567053 | − | 0.982164i | ||||
\(719\) | −22.3610 | − | 38.7304i | −0.833925 | − | 1.44440i | −0.894902 | − | 0.446262i | \(-0.852755\pi\) |
0.0609770 | − | 0.998139i | \(-0.480578\pi\) | |||||||
\(720\) | 2.95818 | − | 0.499172i | 0.110245 | − | 0.0186030i | ||||
\(721\) | −17.6468 | + | 12.8211i | −0.657200 | + | 0.477484i | ||||
\(722\) | 24.3995 | − | 2.56449i | 0.908056 | − | 0.0954405i | ||||
\(723\) | −11.1051 | − | 9.38819i | −0.413003 | − | 0.349151i | ||||
\(724\) | −8.48750 | − | 19.0632i | −0.315435 | − | 0.708480i | ||||
\(725\) | −8.57826 | + | 1.82337i | −0.318589 | + | 0.0677181i | ||||
\(726\) | 6.38081 | + | 0.469807i | 0.236814 | + | 0.0174362i | ||||
\(727\) | 21.7359 | + | 9.67744i | 0.806140 | + | 0.358917i | 0.768076 | − | 0.640359i | \(-0.221214\pi\) |
0.0380638 | + | 0.999275i | \(0.487881\pi\) | |||||||
\(728\) | −6.80192 | − | 20.9342i | −0.252096 | − | 0.775872i | ||||
\(729\) | −24.4171 | − | 11.5241i | −0.904336 | − | 0.426820i | ||||
\(730\) | 2.26238 | − | 5.08138i | 0.0837343 | − | 0.188070i | ||||
\(731\) | 4.20335 | − | 19.7752i | 0.155466 | − | 0.731412i | ||||
\(732\) | 16.3575 | − | 5.88550i | 0.604589 | − | 0.217534i | ||||
\(733\) | −12.9441 | + | 5.76310i | −0.478103 | + | 0.212865i | −0.631616 | − | 0.775282i | \(-0.717608\pi\) |
0.153513 | + | 0.988147i | \(0.450941\pi\) | |||||||
\(734\) | −3.88116 | − | 4.31047i | −0.143256 | − | 0.159102i | ||||
\(735\) | 3.04232 | + | 12.3964i | 0.112218 | + | 0.457247i | ||||
\(736\) | −3.82939 | − | 5.27071i | −0.141153 | − | 0.194281i | ||||
\(737\) | −1.93441 | + | 18.4047i | −0.0712549 | + | 0.677945i | ||||
\(738\) | 14.3554 | + | 14.0686i | 0.528429 | + | 0.517874i | ||||
\(739\) | −13.4084 | − | 7.74137i | −0.493237 | − | 0.284771i | 0.232679 | − | 0.972554i | \(-0.425251\pi\) |
−0.725917 | + | 0.687783i | \(0.758584\pi\) | |||||||
\(740\) | 2.44589 | + | 1.77704i | 0.0899127 | + | 0.0653254i | ||||
\(741\) | 37.3102 | − | 54.8776i | 1.37062 | − | 2.01598i | ||||
\(742\) | −22.5181 | − | 7.31659i | −0.826667 | − | 0.268600i | ||||
\(743\) | 2.08743 | 0.0765803 | 0.0382901 | − | 0.999267i | \(-0.487809\pi\) | ||||
0.0382901 | + | 0.999267i | \(0.487809\pi\) | |||||||
\(744\) | −9.62040 | + | 0.669201i | −0.352701 | + | 0.0245341i | ||||
\(745\) | −7.32013 | −0.268189 | ||||||||
\(746\) | 2.38299 | + | 0.774281i | 0.0872475 | + | 0.0283484i | ||||
\(747\) | 3.42783 | − | 6.89868i | 0.125418 | − | 0.252410i | ||||
\(748\) | −9.99697 | − | 7.26322i | −0.365525 | − | 0.265570i | ||||
\(749\) | −49.6154 | − | 28.6454i | −1.81291 | − | 1.04668i | ||||
\(750\) | 1.36879 | − | 1.06132i | 0.0499812 | − | 0.0387541i | ||||
\(751\) | −4.00682 | + | 38.1224i | −0.146211 | + | 1.39110i | 0.637726 | + | 0.770264i | \(0.279875\pi\) |
−0.783937 | + | 0.620841i | \(0.786791\pi\) | |||||||
\(752\) | −6.40451 | − | 8.81505i | −0.233548 | − | 0.321452i | ||||
\(753\) | 14.0165 | − | 3.43993i | 0.510790 | − | 0.125358i | ||||
\(754\) | 34.0750 | + | 37.8441i | 1.24094 | + | 1.37820i | ||||
\(755\) | 13.0463 | − | 5.80860i | 0.474804 | − | 0.211397i | ||||
\(756\) | 11.4009 | + | 16.0622i | 0.414647 | + | 0.584176i | ||||
\(757\) | 11.0936 | − | 52.1913i | 0.403204 | − | 1.89693i | −0.0375447 | − | 0.999295i | \(-0.511954\pi\) |
0.440749 | − | 0.897631i | \(-0.354713\pi\) | |||||||
\(758\) | −6.27993 | + | 14.1049i | −0.228097 | + | 0.512315i | ||||
\(759\) | −38.9473 | + | 18.8187i | −1.41370 | + | 0.683074i | ||||
\(760\) | −2.03890 | − | 6.27509i | −0.0739587 | − | 0.227622i | ||||
\(761\) | 4.22032 | + | 1.87901i | 0.152987 | + | 0.0681140i | 0.481802 | − | 0.876280i | \(-0.339983\pi\) |
−0.328815 | + | 0.944394i | \(0.606649\pi\) | |||||||
\(762\) | 0.530418 | − | 7.20401i | 0.0192150 | − | 0.260974i | ||||
\(763\) | 15.8923 | − | 3.37801i | 0.575340 | − | 0.122292i | ||||
\(764\) | 1.21630 | + | 2.73185i | 0.0440041 | + | 0.0988349i | ||||
\(765\) | −5.18501 | + | 8.16335i | −0.187465 | + | 0.295147i | ||||
\(766\) | 15.3419 | − | 1.61250i | 0.554325 | − | 0.0582620i | ||||
\(767\) | 19.0597 | − | 13.8477i | 0.688206 | − | 0.500011i | ||||
\(768\) | −1.73121 | + | 0.0540730i | −0.0624695 | + | 0.00195119i | ||||
\(769\) | −21.8864 | − | 37.9083i | −0.789242 | − | 1.36701i | −0.926432 | − | 0.376463i | \(-0.877140\pi\) |
0.137190 | − | 0.990545i | \(-0.456193\pi\) | |||||||
\(770\) | −7.26539 | + | 12.5840i | −0.261826 | + | 0.453497i | ||||
\(771\) | 16.4549 | + | 8.82708i | 0.592607 | + | 0.317900i | ||||
\(772\) | −17.9884 | + | 19.9781i | −0.647416 | + | 0.719029i | ||||
\(773\) | −8.40902 | + | 25.8803i | −0.302451 | + | 0.930850i | 0.678165 | + | 0.734910i | \(0.262776\pi\) |
−0.980616 | + | 0.195940i | \(0.937224\pi\) | |||||||
\(774\) | −18.1235 | + | 5.05268i | −0.651436 | + | 0.181615i | ||||
\(775\) | −4.71192 | + | 2.96612i | −0.169257 | + | 0.106546i | ||||
\(776\) | − | 1.53185i | − | 0.0549902i | ||||||
\(777\) | −3.51887 | + | 19.5356i | −0.126239 | + | 0.700835i | ||||
\(778\) | 22.0655 | + | 19.8679i | 0.791087 | + | 0.712298i | ||||
\(779\) | 25.9839 | − | 35.7637i | 0.930969 | − | 1.28137i | ||||
\(780\) | −9.31121 | − | 3.80192i | −0.333395 | − | 0.136131i | ||||
\(781\) | −0.827124 | + | 0.477540i | −0.0295968 | + | 0.0170877i | ||||
\(782\) | 20.8866 | + | 2.19527i | 0.746903 | + | 0.0785027i | ||||
\(783\) | −39.2105 | − | 23.2195i | −1.40127 | − | 0.829796i | ||||
\(784\) | −0.770316 | − | 7.32907i | −0.0275113 | − | 0.261752i | ||||
\(785\) | −2.80671 | + | 2.52717i | −0.100176 | + | 0.0901987i | ||||
\(786\) | −8.48780 | − | 13.6953i | −0.302750 | − | 0.488495i | ||||
\(787\) | −2.20673 | − | 10.3818i | −0.0786613 | − | 0.370072i | 0.921156 | − | 0.389194i | \(-0.127246\pi\) |
−0.999817 | + | 0.0191215i | \(0.993913\pi\) | |||||||
\(788\) | −13.2262 | − | 2.81132i | −0.471165 | − | 0.100149i | ||||
\(789\) | −2.18306 | + | 7.50875i | −0.0777189 | + | 0.267319i | ||||
\(790\) | −1.54591 | + | 0.502297i | −0.0550010 | + | 0.0178709i | ||||
\(791\) | 59.7028 | − | 19.3986i | 2.12279 | − | 0.689735i | ||||
\(792\) | −1.68429 | + | 11.3758i | −0.0598486 | + | 0.404221i | ||||
\(793\) | −57.0065 | − | 12.1171i | −2.02436 | − | 0.430291i | ||||
\(794\) | 6.11088 | + | 28.7494i | 0.216867 | + | 1.02028i | ||||
\(795\) | −9.19565 | + | 5.69910i | −0.326136 | + | 0.202126i | ||||
\(796\) | −19.5360 | + | 17.5903i | −0.692436 | + | 0.623473i | ||||
\(797\) | −1.70878 | − | 16.2580i | −0.0605282 | − | 0.575887i | −0.982190 | − | 0.187892i | \(-0.939834\pi\) |
0.921661 | − | 0.387995i | \(-0.126832\pi\) | |||||||
\(798\) | 31.2728 | − | 29.9780i | 1.10705 | − | 1.06121i | ||||
\(799\) | 34.9320 | + | 3.67150i | 1.23580 | + | 0.129888i | ||||
\(800\) | −0.866025 | + | 0.500000i | −0.0306186 | + | 0.0176777i | ||||
\(801\) | −0.587169 | + | 2.28324i | −0.0207466 | + | 0.0806742i | ||||
\(802\) | 13.4625 | − | 18.5296i | 0.475378 | − | 0.654302i | ||||
\(803\) | 15.8451 | + | 14.2670i | 0.559160 | + | 0.503470i | ||||
\(804\) | −8.22947 | − | 1.48235i | −0.290231 | − | 0.0522783i | ||||
\(805\) | − | 24.6963i | − | 0.870429i | ||||||
\(806\) | 28.5962 | + | 15.0834i | 1.00726 | + | 0.531289i | ||||
\(807\) | 4.71076 | + | 34.4385i | 0.165826 | + | 1.21229i | ||||
\(808\) | −1.82827 | + | 5.62684i | −0.0643184 | + | 0.197952i | ||||
\(809\) | −30.9874 | + | 34.4150i | −1.08946 | + | 1.20997i | −0.113150 | + | 0.993578i | \(0.536094\pi\) |
−0.976308 | + | 0.216387i | \(0.930573\pi\) | |||||||
\(810\) | 8.96786 | + | 0.759981i | 0.315098 | + | 0.0267030i | ||||
\(811\) | 13.4207 | − | 23.2453i | 0.471263 | − | 0.816251i | −0.528197 | − | 0.849122i | \(-0.677132\pi\) |
0.999460 | + | 0.0328707i | \(0.0104650\pi\) | |||||||
\(812\) | 16.6221 | + | 28.7902i | 0.583320 | + | 1.01034i | ||||
\(813\) | −1.58996 | − | 50.9044i | −0.0557624 | − | 1.78530i | ||||
\(814\) | −9.37575 | + | 6.81188i | −0.328620 | + | 0.238756i | ||||
\(815\) | −10.4281 | + | 1.09604i | −0.365281 | + | 0.0383925i | ||||
\(816\) | 3.60470 | − | 4.26392i | 0.126190 | − | 0.149267i | ||||
\(817\) | 16.8307 | + | 37.8023i | 0.588831 | + | 1.32254i | ||||
\(818\) | −29.8828 | + | 6.35178i | −1.04483 | + | 0.222085i | ||||
\(819\) | −4.12106 | − | 65.9057i | −0.144001 | − | 2.30293i | ||||
\(820\) | −6.12071 | − | 2.72511i | −0.213744 | − | 0.0951651i | ||||
\(821\) | −1.48821 | − | 4.58025i | −0.0519391 | − | 0.159852i | 0.921723 | − | 0.387850i | \(-0.126782\pi\) |
−0.973662 | + | 0.227998i | \(0.926782\pi\) | |||||||
\(822\) | −9.26549 | − | 19.1760i | −0.323171 | − | 0.668839i | ||||
\(823\) | −5.58860 | + | 12.5522i | −0.194806 | + | 0.437542i | −0.984367 | − | 0.176130i | \(-0.943642\pi\) |
0.789560 | + | 0.613673i | \(0.210309\pi\) | |||||||
\(824\) | 1.19637 | − | 5.62849i | 0.0416776 | − | 0.196078i | ||||
\(825\) | 2.24782 | + | 6.24733i | 0.0782591 | + | 0.217504i | ||||
\(826\) | 14.0501 | − | 6.25551i | 0.488865 | − | 0.217657i | ||||
\(827\) | 4.04237 | + | 4.48951i | 0.140567 | + | 0.156116i | 0.809318 | − | 0.587371i | \(-0.199837\pi\) |
−0.668750 | + | 0.743487i | \(0.733171\pi\) | |||||||
\(828\) | −7.18797 | − | 18.1751i | −0.249799 | − | 0.631629i | ||||
\(829\) | −2.98602 | − | 4.10991i | −0.103709 | − | 0.142743i | 0.754008 | − | 0.656865i | \(-0.228118\pi\) |
−0.857717 | + | 0.514122i | \(0.828118\pi\) | |||||||
\(830\) | −0.268407 | + | 2.55372i | −0.00931654 | + | 0.0886410i | ||||
\(831\) | −29.6740 | − | 38.2706i | −1.02938 | − | 1.32759i | ||||
\(832\) | 5.02875 | + | 2.90335i | 0.174341 | + | 0.100656i | ||||
\(833\) | 19.2191 | + | 13.9635i | 0.665903 | + | 0.483807i | ||||
\(834\) | 30.9507 | + | 21.0428i | 1.07174 | + | 0.728651i | ||||
\(835\) | −10.0656 | − | 3.27050i | −0.348333 | − | 0.113180i | ||||
\(836\) | 25.2920 | 0.874741 | ||||||||
\(837\) | −28.4517 | − | 5.24388i | −0.983436 | − | 0.181255i | ||||
\(838\) | −19.3091 | −0.667022 | ||||||||
\(839\) | −17.8439 | − | 5.79783i | −0.616040 | − | 0.200163i | −0.0156585 | − | 0.999877i | \(-0.504984\pi\) |
−0.600381 | + | 0.799714i | \(0.704984\pi\) | |||||||
\(840\) | −5.42965 | − | 3.69151i | −0.187341 | − | 0.127369i | ||||
\(841\) | −38.7610 | − | 28.1615i | −1.33659 | − | 0.971087i | ||||
\(842\) | 25.0355 | + | 14.4542i | 0.862780 | + | 0.498126i | ||||
\(843\) | 4.52800 | + | 5.83977i | 0.155952 | + | 0.201132i | ||||
\(844\) | 0.0358061 | − | 0.340673i | 0.00123250 | − | 0.0117264i | ||||
\(845\) | 12.1776 | + | 16.7610i | 0.418922 | + | 0.576597i | ||||
\(846\) | −12.0216 | − | 30.3972i | −0.413311 | − | 1.04508i | ||||
\(847\) | −9.36957 | − | 10.4060i | −0.321942 | − | 0.357553i | ||||
\(848\) | 5.70606 | − | 2.54050i | 0.195947 | − | 0.0872412i | ||||
\(849\) | −0.641662 | − | 1.78336i | −0.0220218 | − | 0.0612047i | ||||
\(850\) | 0.670225 | − | 3.15316i | 0.0229885 | − | 0.108153i | ||||
\(851\) | 8.01132 | − | 17.9937i | 0.274625 | − | 0.616817i | ||||
\(852\) | −0.187750 | − | 0.388569i | −0.00643219 | − | 0.0133121i | ||||
\(853\) | 11.5366 | + | 35.5059i | 0.395004 | + | 1.21570i | 0.928958 | + | 0.370184i | \(0.120705\pi\) |
−0.533954 | + | 0.845513i | \(0.679295\pi\) | |||||||
\(854\) | −34.7569 | − | 15.4748i | −1.18936 | − | 0.529535i | ||||
\(855\) | −1.23530 | − | 19.7555i | −0.0422464 | − | 0.675623i | ||||
\(856\) | 14.7833 | − | 3.14228i | 0.505281 | − | 0.107401i | ||||
\(857\) | −6.65228 | − | 14.9413i | −0.227237 | − | 0.510384i | 0.763560 | − | 0.645737i | \(-0.223450\pi\) |
−0.990797 | + | 0.135353i | \(0.956783\pi\) | |||||||
\(858\) | 24.8900 | − | 29.4419i | 0.849732 | − | 1.00513i | ||||
\(859\) | −17.1195 | + | 1.79933i | −0.584110 | + | 0.0613924i | −0.391975 | − | 0.919976i | \(-0.628208\pi\) |
−0.192135 | + | 0.981368i | \(0.561541\pi\) | |||||||
\(860\) | 5.07379 | − | 3.68632i | 0.173015 | − | 0.125703i | ||||
\(861\) | −1.37332 | − | 43.9684i | −0.0468026 | − | 1.49844i | ||||
\(862\) | −6.59851 | − | 11.4290i | −0.224746 | − | 0.389272i | ||||
\(863\) | 26.4696 | − | 45.8467i | 0.901036 | − | 1.56064i | 0.0748854 | − | 0.997192i | \(-0.476141\pi\) |
0.826151 | − | 0.563449i | \(-0.190526\pi\) | |||||||
\(864\) | −5.07036 | − | 1.13642i | −0.172497 | − | 0.0386619i | ||||
\(865\) | 14.7420 | − | 16.3726i | 0.501243 | − | 0.556687i | ||||
\(866\) | −0.682074 | + | 2.09921i | −0.0231778 | + | 0.0713340i | ||||
\(867\) | −1.55123 | − | 11.3404i | −0.0526826 | − | 0.385141i | ||||
\(868\) | 16.2129 | + | 13.5128i | 0.550300 | + | 0.458654i | ||||
\(869\) | − | 6.23085i | − | 0.211367i | ||||||
\(870\) | 14.9493 | + | 2.69277i | 0.506830 | + | 0.0912935i | ||||
\(871\) | 20.8328 | + | 18.7579i | 0.705893 | + | 0.635589i | ||||
\(872\) | −2.51931 | + | 3.46753i | −0.0853146 | + | 0.117425i | ||||
\(873\) | 1.14457 | − | 4.45073i | 0.0387379 | − | 0.150634i | ||||
\(874\) | −37.2268 | + | 21.4929i | −1.25922 | + | 0.727009i | ||||
\(875\) | −3.76994 | − | 0.396236i | −0.127447 | − | 0.0133952i | ||||
\(876\) | −6.95481 | + | 6.66686i | −0.234981 | + | 0.225252i | ||||
\(877\) | 4.05946 | + | 38.6231i | 0.137078 | + | 1.30421i | 0.819427 | + | 0.573184i | \(0.194292\pi\) |
−0.682349 | + | 0.731027i | \(0.739041\pi\) | |||||||
\(878\) | 17.9929 | − | 16.2008i | 0.607230 | − | 0.546752i | ||||
\(879\) | 1.31643 | − | 0.815873i | 0.0444022 | − | 0.0275187i | ||||
\(880\) | −0.796981 | − | 3.74950i | −0.0268662 | − | 0.126396i | ||||
\(881\) | −30.9973 | − | 6.58868i | −1.04433 | − | 0.221978i | −0.346354 | − | 0.938104i | \(-0.612580\pi\) |
−0.697971 | + | 0.716126i | \(0.745914\pi\) | |||||||
\(882\) | 3.23804 | − | 21.8699i | 0.109030 | − | 0.736398i | ||||
\(883\) | −50.5572 | + | 16.4270i | −1.70138 | + | 0.552813i | −0.988862 | − | 0.148836i | \(-0.952447\pi\) |
−0.712523 | + | 0.701649i | \(0.752447\pi\) | |||||||
\(884\) | −17.8024 | + | 5.78434i | −0.598758 | + | 0.194548i | ||||
\(885\) | 1.96186 | − | 6.74792i | 0.0659470 | − | 0.226829i | ||||
\(886\) | −26.7553 | − | 5.68701i | −0.898861 | − | 0.191059i | ||||
\(887\) | 2.17846 | + | 10.2488i | 0.0731454 | + | 0.344122i | 0.999468 | − | 0.0326087i | \(-0.0103815\pi\) |
−0.926323 | + | 0.376731i | \(0.877048\pi\) | |||||||
\(888\) | −2.75854 | − | 4.45098i | −0.0925707 | − | 0.149365i | ||||
\(889\) | −11.7485 | + | 10.5784i | −0.394031 | + | 0.354787i | ||||
\(890\) | −0.0821429 | − | 0.781537i | −0.00275344 | − | 0.0261972i | ||||
\(891\) | −13.3935 | + | 31.7935i | −0.448697 | + | 1.06512i | ||||
\(892\) | −13.6306 | − | 1.43263i | −0.456385 | − | 0.0479680i | ||||
\(893\) | −62.2604 | + | 35.9460i | −2.08346 | + | 1.20289i | ||||
\(894\) | 11.7380 | + | 4.79283i | 0.392579 | + | 0.160296i | ||||
\(895\) | −10.7502 | + | 14.7963i | −0.359339 | + | 0.494587i | ||||
\(896\) | 2.81704 | + | 2.53648i | 0.0941108 | + | 0.0847377i | ||||
\(897\) | −11.6157 | + | 64.4864i | −0.387837 | + | 2.15314i | ||||
\(898\) | − | 25.8642i | − | 0.863099i | ||||||
\(899\) | −46.9816 | − | 13.3032i | −1.56692 | − | 0.443687i | ||||
\(900\) | −2.88980 | + | 0.805651i | −0.0963266 | + | 0.0268550i | ||||
\(901\) | −6.22200 | + | 19.1494i | −0.207285 | + | 0.637958i | ||||
\(902\) | 17.1851 | − | 19.0860i | 0.572200 | − | 0.635493i | ||||
\(903\) | 36.2858 | + | 19.4652i | 1.20751 | + | 0.647762i | ||||
\(904\) | −8.28015 | + | 14.3416i | −0.275394 | + | 0.476996i | ||||
\(905\) | 10.4337 | + | 18.0716i | 0.346826 | + | 0.600721i | ||||
\(906\) | −24.7233 | + | 0.772215i | −0.821378 | + | 0.0256551i | ||||
\(907\) | 38.3572 | − | 27.8681i | 1.27363 | − | 0.925346i | 0.274289 | − | 0.961647i | \(-0.411557\pi\) |
0.999341 | + | 0.0363009i | \(0.0115575\pi\) | |||||||
\(908\) | 2.32458 | − | 0.244323i | 0.0771438 | − | 0.00810814i | ||||
\(909\) | −9.51627 | + | 14.9825i | −0.315635 | + | 0.496939i | ||||
\(910\) | 8.95288 | + | 20.1085i | 0.296785 | + | 0.666590i | ||||
\(911\) | 14.6567 | − | 3.11538i | 0.485598 | − | 0.103217i | 0.0413946 | − | 0.999143i | \(-0.486820\pi\) |
0.444204 | + | 0.895926i | \(0.353487\pi\) | |||||||
\(912\) | −0.839160 | + | 11.3973i | −0.0277874 | + | 0.377401i | ||||
\(913\) | −8.99205 | − | 4.00352i | −0.297593 | − | 0.132497i | ||||
\(914\) | −1.24182 | − | 3.82193i | −0.0410757 | − | 0.126418i | ||||
\(915\) | −15.6526 | + | 7.56308i | −0.517460 | + | 0.250028i | ||||
\(916\) | −3.07659 | + | 6.91014i | −0.101654 | + | 0.228318i | ||||
\(917\) | −7.33151 | + | 34.4921i | −0.242108 | + | 1.13903i | ||||
\(918\) | 13.6592 | − | 9.69530i | 0.450822 | − | 0.319993i | ||||
\(919\) | −7.57961 | + | 3.37466i | −0.250028 | + | 0.111320i | −0.527924 | − | 0.849291i | \(-0.677030\pi\) |
0.277896 | + | 0.960611i | \(0.410363\pi\) | |||||||
\(920\) | 4.35936 | + | 4.84156i | 0.143724 | + | 0.159621i | ||||
\(921\) | 5.68256 | − | 1.39462i | 0.187247 | − | 0.0459542i | ||||
\(922\) | 23.0476 | + | 31.7223i | 0.759033 | + | 1.04472i | ||||
\(923\) | −0.151229 | + | 1.43885i | −0.00497776 | + | 0.0473602i | ||||
\(924\) | 19.8896 | − | 15.4219i | 0.654320 | − | 0.507342i | ||||
\(925\) | −2.61824 | − | 1.51164i | −0.0860873 | − | 0.0497025i | ||||
\(926\) | −15.2048 | − | 11.0469i | −0.499661 | − | 0.363025i | ||||
\(927\) | 7.68154 | − | 15.4595i | 0.252295 | − | 0.507756i | ||||
\(928\) | −8.34068 | − | 2.71005i | −0.273796 | − | 0.0889617i | ||||
\(929\) | −12.1703 | −0.399294 | −0.199647 | − | 0.979868i | \(-0.563979\pi\) | ||||
−0.199647 | + | 0.979868i | \(0.563979\pi\) | |||||||
\(930\) | 9.49775 | − | 1.67114i | 0.311444 | − | 0.0547989i | ||||
\(931\) | −48.6237 | −1.59358 | ||||||||
\(932\) | −1.61858 | − | 0.525910i | −0.0530185 | − | 0.0172267i | ||||
\(933\) | 2.46146 | − | 3.62043i | 0.0805845 | − | 0.118528i | ||||
\(934\) | −21.6429 | − | 15.7245i | −0.708178 | − | 0.514521i | ||||
\(935\) | 10.7014 | + | 6.17847i | 0.349974 | + | 0.202057i | ||||
\(936\) | 12.4415 | + | 12.1930i | 0.406663 | + | 0.398540i | ||||
\(937\) | −0.302640 | + | 2.87943i | −0.00988681 | + | 0.0940667i | −0.998353 | − | 0.0573781i | \(-0.981726\pi\) |
0.988466 | + | 0.151445i | \(0.0483926\pi\) | |||||||
\(938\) | 10.7568 | + | 14.8055i | 0.351222 | + | 0.483416i | ||||
\(939\) | −1.70354 | − | 6.94130i | −0.0555928 | − | 0.226521i | ||||
\(940\) | 7.29085 | + | 8.09731i | 0.237801 | + | 0.264105i | ||||
\(941\) | 20.9931 | − | 9.34673i | 0.684356 | − | 0.304695i | −0.0349495 | − | 0.999389i | \(-0.511127\pi\) |
0.719305 | + | 0.694694i | \(0.244460\pi\) | |||||||
\(942\) | 6.15531 | − | 2.21471i | 0.200551 | − | 0.0721592i | ||||
\(943\) | −9.07532 | + | 42.6960i | −0.295533 | + | 1.39037i | ||||
\(944\) | −1.65022 | + | 3.70646i | −0.0537102 | + | 0.120635i | ||||
\(945\) | −13.0174 | − | 14.7825i | −0.423456 | − | 0.480874i | ||||
\(946\) | 7.42893 | + | 22.8639i | 0.241535 | + | 0.743369i | ||||
\(947\) | 30.5525 | + | 13.6029i | 0.992823 | + | 0.442033i | 0.837859 | − | 0.545887i | \(-0.183807\pi\) |
0.154964 | + | 0.987920i | \(0.450474\pi\) | |||||||
\(948\) | 2.80779 | + | 0.206733i | 0.0911928 | + | 0.00671437i | ||||
\(949\) | 31.5926 | − | 6.71522i | 1.02554 | − | 0.217985i | ||||
\(950\) | 2.68366 | + | 6.02759i | 0.0870694 | + | 0.195561i | ||||
\(951\) | −25.5203 | − | 21.5747i | −0.827551 | − | 0.699607i | ||||
\(952\) | −12.1528 | + | 1.27731i | −0.393874 | + | 0.0413978i | ||||
\(953\) | −40.1764 | + | 29.1898i | −1.30144 | + | 0.945552i | −0.999969 | − | 0.00792304i | \(-0.997478\pi\) |
−0.301472 | + | 0.953475i | \(0.597478\pi\) | |||||||
\(954\) | 18.4770 | − | 3.11786i | 0.598214 | − | 0.100944i | ||||
\(955\) | −1.49519 | − | 2.58975i | −0.0483833 | − | 0.0838023i | ||||
\(956\) | 1.09537 | − | 1.89724i | 0.0354269 | − | 0.0613611i | ||||
\(957\) | −27.5251 | + | 51.3104i | −0.889759 | + | 1.65863i | ||||
\(958\) | 14.1894 | − | 15.7589i | 0.458438 | − | 0.509147i | ||||
\(959\) | −14.4033 | + | 44.3288i | −0.465107 | + | 1.43145i | ||||
\(960\) | 1.71607 | − | 0.234737i | 0.0553859 | − | 0.00757611i | ||||
\(961\) | −30.9095 | + | 2.36762i | −0.997079 | + | 0.0763747i | ||||
\(962\) | 17.5553i | 0.566006i | ||||||||
\(963\) | 45.3001 | + | 1.91604i | 1.45977 | + | 0.0617436i | ||||
\(964\) | −6.23919 | − | 5.61779i | −0.200951 | − | 0.180937i | ||||
\(965\) | 15.8016 | − | 21.7490i | 0.508670 | − | 0.700125i | ||||
\(966\) | −16.1698 | + | 39.6012i | −0.520255 | + | 1.27415i | ||||
\(967\) | −10.0648 | + | 5.81093i | −0.323663 | + | 0.186867i | −0.653024 | − | 0.757337i | \(-0.726500\pi\) |
0.329361 | + | 0.944204i | \(0.393167\pi\) | |||||||
\(968\) | 3.67370 | + | 0.386121i | 0.118077 | + | 0.0124104i | ||||
\(969\) | −25.4933 | − | 26.5943i | −0.818961 | − | 0.854333i | ||||
\(970\) | 0.160122 | + | 1.52346i | 0.00514120 | + | 0.0489153i | ||||
\(971\) | −29.7386 | + | 26.7767i | −0.954356 | + | 0.859306i | −0.990144 | − | 0.140054i | \(-0.955272\pi\) |
0.0357882 | + | 0.999359i | \(0.488606\pi\) | |||||||
\(972\) | −13.8826 | − | 7.09033i | −0.445285 | − | 0.227422i | ||||
\(973\) | −17.0301 | − | 80.1204i | −0.545960 | − | 2.56854i | ||||
\(974\) | 25.1327 | + | 5.34212i | 0.805304 | + | 0.171173i | ||||
\(975\) | 9.65762 | + | 2.80781i | 0.309291 | + | 0.0899217i | ||||
\(976\) | 9.54546 | − | 3.10151i | 0.305543 | − | 0.0992769i | ||||
\(977\) | −7.59832 | + | 2.46884i | −0.243092 | + | 0.0789853i | −0.428029 | − | 0.903765i | \(-0.640792\pi\) |
0.184937 | + | 0.982750i | \(0.440792\pi\) | |||||||
\(978\) | 17.4394 | + | 5.07024i | 0.557651 | + | 0.162128i | ||||
\(979\) | 2.94652 | + | 0.626301i | 0.0941711 | + | 0.0200167i | ||||
\(980\) | 1.53219 | + | 7.20840i | 0.0489441 | + | 0.230264i | ||||
\(981\) | −9.91064 | + | 8.19240i | −0.316423 | + | 0.261563i | ||||
\(982\) | −15.4456 | + | 13.9073i | −0.492889 | + | 0.443799i | ||||
\(983\) | 5.06348 | + | 48.1758i | 0.161500 | + | 1.53657i | 0.712266 | + | 0.701910i | \(0.247669\pi\) |
−0.550766 | + | 0.834660i | \(0.685664\pi\) | |||||||
\(984\) | 8.03047 | + | 8.37732i | 0.256002 | + | 0.267059i | ||||
\(985\) | 13.4476 | + | 1.41340i | 0.428478 | + | 0.0450348i | ||||
\(986\) | 24.4831 | − | 14.1354i | 0.779702 | − | 0.450161i | ||||
\(987\) | −27.0434 | + | 66.2314i | −0.860800 | + | 2.10817i | ||||
\(988\) | 22.5197 | − | 30.9957i | 0.716446 | − | 0.986103i | ||||
\(989\) | −30.3641 | − | 27.3399i | −0.965521 | − | 0.869359i | ||||
\(990\) | 0.485969 | − | 11.4895i | 0.0154451 | − | 0.365161i | ||||
\(991\) | 33.0901i | 1.05114i | 0.850750 | + | 0.525570i | \(0.176148\pi\) | ||||
−0.850750 | + | 0.525570i | \(0.823852\pi\) | |||||||
\(992\) | −5.56370 | + | 0.212774i | −0.176648 | + | 0.00675557i | ||||
\(993\) | −26.9759 | + | 3.68997i | −0.856054 | + | 0.117098i | ||||
\(994\) | −0.291859 | + | 0.898249i | −0.00925720 | + | 0.0284907i | ||||
\(995\) | 17.5903 | − | 19.5360i | 0.557651 | − | 0.619334i | ||||
\(996\) | 2.10244 | − | 3.91923i | 0.0666184 | − | 0.124186i | ||||
\(997\) | 3.17006 | − | 5.49070i | 0.100397 | − | 0.173892i | −0.811451 | − | 0.584420i | \(-0.801322\pi\) |
0.911848 | + | 0.410528i | \(0.134655\pi\) | |||||||
\(998\) | 2.99631 | + | 5.18977i | 0.0948467 | + | 0.164279i | ||||
\(999\) | −4.68914 | − | 14.9933i | −0.148358 | − | 0.474367i |
(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 | 930.2.br.a.761.20 | yes | 176 | |
3.2 | odd | 2 | inner | 930.2.br.a.761.9 | yes | 176 | |
31.11 | odd | 30 | inner | 930.2.br.a.11.9 | ✓ | 176 | |
93.11 | even | 30 | inner | 930.2.br.a.11.20 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.a.11.9 | ✓ | 176 | 31.11 | odd | 30 | inner | |
930.2.br.a.11.20 | yes | 176 | 93.11 | even | 30 | inner | |
930.2.br.a.761.9 | yes | 176 | 3.2 | odd | 2 | inner | |
930.2.br.a.761.20 | yes | 176 | 1.1 | even | 1 | trivial |