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 | 31.5 | ||
Character | \(\chi\) | \(=\) | 91.31 |
Dual form | 91.2.bb.a.47.5 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.694471 | + | 0.186083i | 0.491065 | + | 0.131581i | 0.495850 | − | 0.868408i | \(-0.334856\pi\) |
−0.00478511 | + | 0.999989i | \(0.501523\pi\) | |||||||
\(3\) | 1.44134 | + | 0.832160i | 0.832160 | + | 0.480448i | 0.854592 | − | 0.519301i | \(-0.173808\pi\) |
−0.0224319 | + | 0.999748i | \(0.507141\pi\) | |||||||
\(4\) | −1.28439 | − | 0.741542i | −0.642194 | − | 0.370771i | ||||
\(5\) | −0.501414 | + | 1.87130i | −0.224239 | + | 0.836871i | 0.758469 | + | 0.651709i | \(0.225948\pi\) |
−0.982708 | + | 0.185162i | \(0.940719\pi\) | |||||||
\(6\) | 0.846120 | + | 0.846120i | 0.345427 | + | 0.345427i | ||||
\(7\) | 2.52715 | − | 0.783278i | 0.955172 | − | 0.296051i | ||||
\(8\) | −1.77076 | − | 1.77076i | −0.626057 | − | 0.626057i | ||||
\(9\) | −0.115021 | − | 0.199221i | −0.0383402 | − | 0.0664071i | ||||
\(10\) | −0.696434 | + | 1.20626i | −0.220232 | + | 0.381453i | ||||
\(11\) | −3.08143 | + | 0.825667i | −0.929087 | + | 0.248948i | −0.691465 | − | 0.722410i | \(-0.743034\pi\) |
−0.237621 | + | 0.971358i | \(0.576368\pi\) | |||||||
\(12\) | −1.23416 | − | 2.13763i | −0.356272 | − | 0.617081i | ||||
\(13\) | −0.846120 | − | 3.50487i | −0.234671 | − | 0.972075i | ||||
\(14\) | 1.90079 | − | 0.0737047i | 0.508006 | − | 0.0196984i | ||||
\(15\) | −2.27993 | + | 2.27993i | −0.588675 | + | 0.588675i | ||||
\(16\) | 0.582851 | + | 1.00953i | 0.145713 | + | 0.252382i | ||||
\(17\) | 0.254148 | − | 0.440197i | 0.0616400 | − | 0.106764i | −0.833559 | − | 0.552431i | \(-0.813700\pi\) |
0.895199 | + | 0.445667i | \(0.147034\pi\) | |||||||
\(18\) | −0.0428067 | − | 0.159757i | −0.0100896 | − | 0.0376550i | ||||
\(19\) | −0.710286 | + | 2.65082i | −0.162951 | + | 0.608141i | 0.835342 | + | 0.549731i | \(0.185270\pi\) |
−0.998293 | + | 0.0584100i | \(0.981397\pi\) | |||||||
\(20\) | 2.03166 | − | 2.03166i | 0.454292 | − | 0.454292i | ||||
\(21\) | 4.29430 | + | 0.974019i | 0.937093 | + | 0.212548i | ||||
\(22\) | −2.29361 | −0.488999 | ||||||||
\(23\) | −2.49648 | + | 1.44134i | −0.520552 | + | 0.300541i | −0.737160 | − | 0.675718i | \(-0.763834\pi\) |
0.216609 | + | 0.976259i | \(0.430500\pi\) | |||||||
\(24\) | −1.07872 | − | 4.02582i | −0.220192 | − | 0.821768i | ||||
\(25\) | 1.07978 | + | 0.623409i | 0.215955 | + | 0.124682i | ||||
\(26\) | 0.0645898 | − | 2.59148i | 0.0126671 | − | 0.508230i | ||||
\(27\) | − | 5.37582i | − | 1.03458i | ||||||
\(28\) | −3.82667 | − | 0.867953i | −0.723173 | − | 0.164028i | ||||
\(29\) | −2.40426 | −0.446460 | −0.223230 | − | 0.974766i | \(-0.571660\pi\) | ||||
−0.223230 | + | 0.974766i | \(0.571660\pi\) | |||||||
\(30\) | −2.00760 | + | 1.15909i | −0.366536 | + | 0.211620i | ||||
\(31\) | 3.08857 | − | 0.827581i | 0.554724 | − | 0.148638i | 0.0294427 | − | 0.999566i | \(-0.490627\pi\) |
0.525281 | + | 0.850929i | \(0.323960\pi\) | |||||||
\(32\) | 1.51320 | + | 5.64735i | 0.267499 | + | 0.998319i | ||||
\(33\) | −5.12849 | − | 1.37417i | −0.892755 | − | 0.239213i | ||||
\(34\) | 0.258412 | − | 0.258412i | 0.0443172 | − | 0.0443172i | ||||
\(35\) | 0.198602 | + | 5.12180i | 0.0335699 | + | 0.865742i | ||||
\(36\) | 0.341170i | 0.0568617i | ||||||||
\(37\) | −2.51910 | + | 9.40142i | −0.414138 | + | 1.54558i | 0.372418 | + | 0.928065i | \(0.378529\pi\) |
−0.786556 | + | 0.617519i | \(0.788138\pi\) | |||||||
\(38\) | −0.986546 | + | 1.70875i | −0.160039 | + | 0.277196i | ||||
\(39\) | 1.69706 | − | 5.75582i | 0.271747 | − | 0.921669i | ||||
\(40\) | 4.20150 | − | 2.42574i | 0.664316 | − | 0.383543i | ||||
\(41\) | 5.34023 | + | 5.34023i | 0.834004 | + | 0.834004i | 0.988062 | − | 0.154058i | \(-0.0492342\pi\) |
−0.154058 | + | 0.988062i | \(0.549234\pi\) | |||||||
\(42\) | 2.80102 | + | 1.47552i | 0.432206 | + | 0.227678i | ||||
\(43\) | − | 12.5736i | − | 1.91746i | −0.284313 | − | 0.958732i | \(-0.591765\pi\) | ||
0.284313 | − | 0.958732i | \(-0.408235\pi\) | |||||||
\(44\) | 4.57002 | + | 1.22453i | 0.688956 | + | 0.184605i | ||||
\(45\) | 0.430476 | − | 0.115346i | 0.0641716 | − | 0.0171947i | ||||
\(46\) | −2.00194 | + | 0.536419i | −0.295170 | + | 0.0790906i | ||||
\(47\) | 10.7811 | + | 2.88879i | 1.57259 | + | 0.421374i | 0.936622 | − | 0.350342i | \(-0.113935\pi\) |
0.635967 | + | 0.771716i | \(0.280601\pi\) | |||||||
\(48\) | 1.94010i | 0.280029i | ||||||||
\(49\) | 5.77295 | − | 3.95892i | 0.824707 | − | 0.565560i | ||||
\(50\) | 0.633867 | + | 0.633867i | 0.0896423 | + | 0.0896423i | ||||
\(51\) | 0.732629 | − | 0.422984i | 0.102589 | − | 0.0592296i | ||||
\(52\) | −1.51226 | + | 5.12904i | −0.209712 | + | 0.711270i | ||||
\(53\) | −3.42477 | + | 5.93187i | −0.470428 | + | 0.814805i | −0.999428 | − | 0.0338167i | \(-0.989234\pi\) |
0.529000 | + | 0.848622i | \(0.322567\pi\) | |||||||
\(54\) | 1.00035 | − | 3.73335i | 0.136130 | − | 0.508045i | ||||
\(55\) | − | 6.18029i | − | 0.833350i | ||||||
\(56\) | −5.86196 | − | 3.08797i | −0.783338 | − | 0.412648i | ||||
\(57\) | −3.22968 | + | 3.22968i | −0.427781 | + | 0.427781i | ||||
\(58\) | −1.66969 | − | 0.447392i | −0.219241 | − | 0.0587454i | ||||
\(59\) | 1.00352 | + | 3.74520i | 0.130647 | + | 0.487583i | 0.999978 | − | 0.00664837i | \(-0.00211626\pi\) |
−0.869330 | + | 0.494231i | \(0.835450\pi\) | |||||||
\(60\) | 4.61898 | − | 1.23765i | 0.596307 | − | 0.159780i | ||||
\(61\) | −5.51719 | + | 3.18535i | −0.706404 | + | 0.407843i | −0.809728 | − | 0.586805i | \(-0.800386\pi\) |
0.103324 | + | 0.994648i | \(0.467052\pi\) | |||||||
\(62\) | 2.29892 | 0.291963 | ||||||||
\(63\) | −0.446720 | − | 0.413369i | −0.0562814 | − | 0.0520796i | ||||
\(64\) | 1.87209i | 0.234012i | ||||||||
\(65\) | 6.98291 | + | 0.174042i | 0.866124 | + | 0.0215872i | ||||
\(66\) | −3.30587 | − | 1.90865i | −0.406925 | − | 0.234938i | ||||
\(67\) | −1.75850 | − | 6.56281i | −0.214835 | − | 0.801775i | −0.986225 | − | 0.165412i | \(-0.947105\pi\) |
0.771390 | − | 0.636363i | \(-0.219562\pi\) | |||||||
\(68\) | −0.652849 | + | 0.376923i | −0.0791696 | + | 0.0457086i | ||||
\(69\) | −4.79771 | −0.577576 | ||||||||
\(70\) | −0.815156 | + | 3.59390i | −0.0974298 | + | 0.429553i | ||||
\(71\) | −1.90492 | + | 1.90492i | −0.226072 | + | 0.226072i | −0.811049 | − | 0.584978i | \(-0.801103\pi\) |
0.584978 | + | 0.811049i | \(0.301103\pi\) | |||||||
\(72\) | −0.149099 | + | 0.556446i | −0.0175715 | + | 0.0655778i | ||||
\(73\) | 0.0676442 | + | 0.252451i | 0.00791715 | + | 0.0295472i | 0.969771 | − | 0.244015i | \(-0.0784647\pi\) |
−0.961854 | + | 0.273562i | \(0.911798\pi\) | |||||||
\(74\) | −3.49889 | + | 6.06025i | −0.406738 | + | 0.704490i | ||||
\(75\) | 1.03755 | + | 1.79709i | 0.119806 | + | 0.207510i | ||||
\(76\) | 2.87798 | − | 2.87798i | 0.330127 | − | 0.330127i | ||||
\(77\) | −7.14051 | + | 4.50020i | −0.813736 | + | 0.512845i | ||||
\(78\) | 2.24962 | − | 3.68146i | 0.254719 | − | 0.416843i | ||||
\(79\) | −2.78380 | − | 4.82168i | −0.313202 | − | 0.542481i | 0.665852 | − | 0.746084i | \(-0.268068\pi\) |
−0.979054 | + | 0.203603i | \(0.934735\pi\) | |||||||
\(80\) | −2.18138 | + | 0.584499i | −0.243886 | + | 0.0653490i | ||||
\(81\) | 4.12848 | − | 7.15074i | 0.458720 | − | 0.794526i | ||||
\(82\) | 2.71491 | + | 4.70236i | 0.299812 | + | 0.519289i | ||||
\(83\) | −5.86182 | − | 5.86182i | −0.643419 | − | 0.643419i | 0.307975 | − | 0.951394i | \(-0.400349\pi\) |
−0.951394 | + | 0.307975i | \(0.900349\pi\) | |||||||
\(84\) | −4.79327 | − | 4.43542i | −0.522989 | − | 0.483944i | ||||
\(85\) | 0.696309 | + | 0.696309i | 0.0755253 | + | 0.0755253i | ||||
\(86\) | 2.33974 | − | 8.73203i | 0.252301 | − | 0.941599i | ||||
\(87\) | −3.46536 | − | 2.00073i | −0.371526 | − | 0.214500i | ||||
\(88\) | 6.91853 | + | 3.99441i | 0.737517 | + | 0.425806i | ||||
\(89\) | −11.8358 | − | 3.17139i | −1.25459 | − | 0.336166i | −0.430482 | − | 0.902599i | \(-0.641656\pi\) |
−0.824108 | + | 0.566433i | \(0.808323\pi\) | |||||||
\(90\) | 0.320417 | 0.0337749 | ||||||||
\(91\) | −4.88355 | − | 8.19457i | −0.511936 | − | 0.859024i | ||||
\(92\) | 4.27526 | 0.445727 | ||||||||
\(93\) | 5.14037 | + | 1.37736i | 0.533032 | + | 0.142825i | ||||
\(94\) | 6.94962 | + | 4.01237i | 0.716799 | + | 0.413844i | ||||
\(95\) | −4.60434 | − | 2.65832i | −0.472396 | − | 0.272738i | ||||
\(96\) | −2.51845 | + | 9.39899i | −0.257038 | + | 0.959280i | ||||
\(97\) | 7.04713 | + | 7.04713i | 0.715528 | + | 0.715528i | 0.967686 | − | 0.252158i | \(-0.0811403\pi\) |
−0.252158 | + | 0.967686i | \(0.581140\pi\) | |||||||
\(98\) | 4.74583 | − | 1.67511i | 0.479402 | − | 0.169211i | ||||
\(99\) | 0.518918 | + | 0.518918i | 0.0521533 | + | 0.0521533i | ||||
\(100\) | −0.924567 | − | 1.60140i | −0.0924567 | − | 0.160140i | ||||
\(101\) | 2.35974 | − | 4.08719i | 0.234803 | − | 0.406691i | −0.724412 | − | 0.689367i | \(-0.757889\pi\) |
0.959215 | + | 0.282676i | \(0.0912222\pi\) | |||||||
\(102\) | 0.587500 | − | 0.157420i | 0.0581711 | − | 0.0155869i | ||||
\(103\) | −2.22971 | − | 3.86197i | −0.219700 | − | 0.380531i | 0.735016 | − | 0.678049i | \(-0.237174\pi\) |
−0.954716 | + | 0.297518i | \(0.903841\pi\) | |||||||
\(104\) | −4.70799 | + | 7.70454i | −0.461657 | + | 0.755492i | ||||
\(105\) | −3.97590 | + | 7.54754i | −0.388008 | + | 0.736564i | ||||
\(106\) | −3.48222 | + | 3.48222i | −0.338223 | + | 0.338223i | ||||
\(107\) | −9.65530 | − | 16.7235i | −0.933413 | − | 1.61672i | −0.777440 | − | 0.628957i | \(-0.783482\pi\) |
−0.155973 | − | 0.987761i | \(-0.549851\pi\) | |||||||
\(108\) | −3.98639 | + | 6.90464i | −0.383591 | + | 0.664399i | ||||
\(109\) | −2.81694 | − | 10.5129i | −0.269813 | − | 1.00696i | −0.959238 | − | 0.282600i | \(-0.908803\pi\) |
0.689424 | − | 0.724358i | \(-0.257864\pi\) | |||||||
\(110\) | 1.15005 | − | 4.29203i | 0.109653 | − | 0.409229i | ||||
\(111\) | −11.4544 | + | 11.4544i | −1.08720 | + | 1.08720i | ||||
\(112\) | 2.26369 | + | 2.09469i | 0.213899 | + | 0.197930i | ||||
\(113\) | 11.1771 | 1.05145 | 0.525726 | − | 0.850654i | \(-0.323794\pi\) | ||||
0.525726 | + | 0.850654i | \(0.323794\pi\) | |||||||
\(114\) | −2.84390 | + | 1.64193i | −0.266356 | + | 0.153781i | ||||
\(115\) | −1.44542 | − | 5.39437i | −0.134786 | − | 0.503028i | ||||
\(116\) | 3.08800 | + | 1.78286i | 0.286714 | + | 0.165534i | ||||
\(117\) | −0.600923 | + | 0.571697i | −0.0555554 | + | 0.0528534i | ||||
\(118\) | 2.78767i | 0.256626i | ||||||||
\(119\) | 0.297473 | − | 1.31151i | 0.0272693 | − | 0.120226i | ||||
\(120\) | 8.07441 | 0.737089 | ||||||||
\(121\) | −0.712785 | + | 0.411527i | −0.0647987 | + | 0.0374115i | ||||
\(122\) | −4.42427 | + | 1.18548i | −0.400555 | + | 0.107328i | ||||
\(123\) | 3.25318 | + | 12.1410i | 0.293329 | + | 1.09472i | ||||
\(124\) | −4.58061 | − | 1.22737i | −0.411351 | − | 0.110221i | ||||
\(125\) | −8.55744 | + | 8.55744i | −0.765400 | + | 0.765400i | ||||
\(126\) | −0.233313 | − | 0.370200i | −0.0207852 | − | 0.0329800i | ||||
\(127\) | 14.7463i | 1.30852i | 0.756269 | + | 0.654261i | \(0.227020\pi\) | ||||
−0.756269 | + | 0.654261i | \(0.772980\pi\) | |||||||
\(128\) | 2.67804 | − | 9.99458i | 0.236707 | − | 0.883404i | ||||
\(129\) | 10.4633 | − | 18.1229i | 0.921241 | − | 1.59564i | ||||
\(130\) | 4.81704 | + | 1.42027i | 0.422483 | + | 0.124566i | ||||
\(131\) | 17.5068 | − | 10.1075i | 1.52957 | − | 0.883100i | 0.530194 | − | 0.847877i | \(-0.322119\pi\) |
0.999379 | − | 0.0352230i | \(-0.0112141\pi\) | |||||||
\(132\) | 5.56796 | + | 5.56796i | 0.484629 | + | 0.484629i | ||||
\(133\) | 0.281334 | + | 7.25538i | 0.0243947 | + | 0.629121i | ||||
\(134\) | − | 4.88491i | − | 0.421992i | ||||||
\(135\) | 10.0598 | + | 2.69551i | 0.865808 | + | 0.231992i | ||||
\(136\) | −1.22952 | + | 0.329448i | −0.105430 | + | 0.0282500i | ||||
\(137\) | 8.18452 | − | 2.19304i | 0.699251 | − | 0.187364i | 0.108356 | − | 0.994112i | \(-0.465441\pi\) |
0.590895 | + | 0.806748i | \(0.298775\pi\) | |||||||
\(138\) | −3.33187 | − | 0.892772i | −0.283628 | − | 0.0759978i | ||||
\(139\) | 2.42919i | 0.206041i | 0.994679 | + | 0.103021i | \(0.0328507\pi\) | ||||
−0.994679 | + | 0.103021i | \(0.967149\pi\) | |||||||
\(140\) | 3.54295 | − | 6.72565i | 0.299434 | − | 0.568421i | ||||
\(141\) | 13.1354 | + | 13.1354i | 1.10620 | + | 1.10620i | ||||
\(142\) | −1.67738 | + | 0.968436i | −0.140763 | + | 0.0812694i | ||||
\(143\) | 5.50111 | + | 10.1014i | 0.460026 | + | 0.844721i | ||||
\(144\) | 0.134080 | − | 0.232233i | 0.0111733 | − | 0.0193527i | ||||
\(145\) | 1.20553 | − | 4.49909i | 0.100114 | − | 0.373629i | ||||
\(146\) | 0.187908i | 0.0155513i | ||||||||
\(147\) | 11.6153 | − | 0.902140i | 0.958010 | − | 0.0744073i | ||||
\(148\) | 10.2071 | − | 10.2071i | 0.839015 | − | 0.839015i | ||||
\(149\) | −5.73207 | − | 1.53590i | −0.469590 | − | 0.125826i | 0.0162614 | − | 0.999868i | \(-0.494824\pi\) |
−0.485851 | + | 0.874042i | \(0.661490\pi\) | |||||||
\(150\) | 0.386141 | + | 1.44110i | 0.0315283 | + | 0.117665i | ||||
\(151\) | −6.24701 | + | 1.67388i | −0.508374 | + | 0.136219i | −0.503884 | − | 0.863771i | \(-0.668096\pi\) |
−0.00449055 | + | 0.999990i | \(0.501429\pi\) | |||||||
\(152\) | 5.95171 | − | 3.43622i | 0.482748 | − | 0.278715i | ||||
\(153\) | −0.116929 | −0.00945315 | ||||||||
\(154\) | −5.79628 | + | 1.79653i | −0.467078 | + | 0.144769i | ||||
\(155\) | 6.19461i | 0.497563i | ||||||||
\(156\) | −6.44786 | + | 6.13426i | −0.516242 | + | 0.491134i | ||||
\(157\) | 5.54969 | + | 3.20411i | 0.442913 | + | 0.255716i | 0.704833 | − | 0.709374i | \(-0.251022\pi\) |
−0.261919 | + | 0.965090i | \(0.584355\pi\) | |||||||
\(158\) | −1.03603 | − | 3.86653i | −0.0824225 | − | 0.307605i | ||||
\(159\) | −9.87253 | + | 5.69991i | −0.782942 | + | 0.452032i | ||||
\(160\) | −11.3266 | −0.895448 | ||||||||
\(161\) | −5.18000 | + | 5.59792i | −0.408241 | + | 0.441178i | ||||
\(162\) | 4.19774 | − | 4.19774i | 0.329805 | − | 0.329805i | ||||
\(163\) | 0.177113 | − | 0.660995i | 0.0138726 | − | 0.0517731i | −0.958643 | − | 0.284613i | \(-0.908135\pi\) |
0.972515 | + | 0.232840i | \(0.0748017\pi\) | |||||||
\(164\) | −2.89892 | − | 10.8189i | −0.226368 | − | 0.844816i | ||||
\(165\) | 5.14299 | − | 8.90791i | 0.400381 | − | 0.693480i | ||||
\(166\) | −2.98008 | − | 5.16165i | −0.231299 | − | 0.400622i | ||||
\(167\) | 2.47505 | − | 2.47505i | 0.191525 | − | 0.191525i | −0.604830 | − | 0.796355i | \(-0.706759\pi\) |
0.796355 | + | 0.604830i | \(0.206759\pi\) | |||||||
\(168\) | −5.87941 | − | 9.32891i | −0.453606 | − | 0.719741i | ||||
\(169\) | −11.5682 | + | 5.93107i | −0.889859 | + | 0.456236i | ||||
\(170\) | 0.353995 | + | 0.613137i | 0.0271502 | + | 0.0470255i | ||||
\(171\) | 0.609798 | − | 0.163395i | 0.0466325 | − | 0.0124951i | ||||
\(172\) | −9.32388 | + | 16.1494i | −0.710939 | + | 1.23138i | ||||
\(173\) | 12.3860 | + | 21.4531i | 0.941687 | + | 1.63105i | 0.762252 | + | 0.647280i | \(0.224094\pi\) |
0.179435 | + | 0.983770i | \(0.442573\pi\) | |||||||
\(174\) | −2.03429 | − | 2.03429i | −0.154219 | − | 0.154219i | ||||
\(175\) | 3.21705 | + | 0.729681i | 0.243186 | + | 0.0551587i | ||||
\(176\) | −2.62955 | − | 2.62955i | −0.198210 | − | 0.198210i | ||||
\(177\) | −1.67018 | + | 6.23320i | −0.125539 | + | 0.468516i | ||||
\(178\) | −7.62946 | − | 4.40487i | −0.571852 | − | 0.330159i | ||||
\(179\) | −16.6184 | − | 9.59464i | −1.24212 | − | 0.717137i | −0.272593 | − | 0.962129i | \(-0.587881\pi\) |
−0.969525 | + | 0.244992i | \(0.921215\pi\) | |||||||
\(180\) | −0.638432 | − | 0.171067i | −0.0475859 | − | 0.0127506i | ||||
\(181\) | 11.0428 | 0.820803 | 0.410401 | − | 0.911905i | \(-0.365389\pi\) | ||||
0.410401 | + | 0.911905i | \(0.365389\pi\) | |||||||
\(182\) | −1.86662 | − | 6.59963i | −0.138363 | − | 0.489197i | ||||
\(183\) | −10.6029 | −0.783788 | ||||||||
\(184\) | 6.97293 | + | 1.86839i | 0.514051 | + | 0.137740i | ||||
\(185\) | −16.3298 | − | 9.42800i | −1.20059 | − | 0.693161i | ||||
\(186\) | 3.31354 | + | 1.91307i | 0.242960 | + | 0.140273i | ||||
\(187\) | −0.419683 | + | 1.56628i | −0.0306903 | + | 0.114538i | ||||
\(188\) | −11.7050 | − | 11.7050i | −0.853674 | − | 0.853674i | ||||
\(189\) | −4.21076 | − | 13.5855i | −0.306288 | − | 0.988199i | ||||
\(190\) | −2.70291 | − | 2.70291i | −0.196090 | − | 0.196090i | ||||
\(191\) | −5.68132 | − | 9.84033i | −0.411086 | − | 0.712022i | 0.583923 | − | 0.811809i | \(-0.301517\pi\) |
−0.995009 | + | 0.0997875i | \(0.968184\pi\) | |||||||
\(192\) | −1.55788 | + | 2.69833i | −0.112430 | + | 0.194735i | ||||
\(193\) | 12.0487 | − | 3.22844i | 0.867286 | − | 0.232388i | 0.202372 | − | 0.979309i | \(-0.435135\pi\) |
0.664914 | + | 0.746920i | \(0.268468\pi\) | |||||||
\(194\) | 3.58268 | + | 6.20538i | 0.257221 | + | 0.445520i | ||||
\(195\) | 9.91994 | + | 6.06175i | 0.710382 | + | 0.434091i | ||||
\(196\) | −10.3504 | + | 0.803902i | −0.739315 | + | 0.0574216i | ||||
\(197\) | −13.9343 | + | 13.9343i | −0.992775 | + | 0.992775i | −0.999974 | − | 0.00719943i | \(-0.997708\pi\) |
0.00719943 | + | 0.999974i | \(0.497708\pi\) | |||||||
\(198\) | 0.263812 | + | 0.456936i | 0.0187483 | + | 0.0324730i | ||||
\(199\) | −0.413742 | + | 0.716622i | −0.0293294 | + | 0.0508000i | −0.880318 | − | 0.474385i | \(-0.842671\pi\) |
0.850988 | + | 0.525185i | \(0.176004\pi\) | |||||||
\(200\) | −0.808115 | − | 3.01593i | −0.0571424 | − | 0.213258i | ||||
\(201\) | 2.92670 | − | 10.9226i | 0.206434 | − | 0.770422i | ||||
\(202\) | 2.39933 | − | 2.39933i | 0.168816 | − | 0.168816i | ||||
\(203\) | −6.07592 | + | 1.88320i | −0.426446 | + | 0.132175i | ||||
\(204\) | −1.25464 | −0.0878424 | ||||||||
\(205\) | −12.6708 | + | 7.31551i | −0.884970 | + | 0.510938i | ||||
\(206\) | −0.829821 | − | 3.09694i | −0.0578164 | − | 0.215774i | ||||
\(207\) | 0.574293 | + | 0.331568i | 0.0399161 | + | 0.0230456i | ||||
\(208\) | 3.04510 | − | 2.89700i | 0.211139 | − | 0.200871i | ||||
\(209\) | − | 8.75479i | − | 0.605582i | ||||||
\(210\) | −4.16562 | + | 4.50170i | −0.287455 | + | 0.310647i | ||||
\(211\) | 18.8543 | 1.29798 | 0.648992 | − | 0.760795i | \(-0.275191\pi\) | ||||
0.648992 | + | 0.760795i | \(0.275191\pi\) | |||||||
\(212\) | 8.79746 | − | 5.07921i | 0.604212 | − | 0.348842i | ||||
\(213\) | −4.33083 | + | 1.16044i | −0.296744 | + | 0.0795122i | ||||
\(214\) | −3.59337 | − | 13.4106i | −0.245638 | − | 0.916733i | ||||
\(215\) | 23.5291 | + | 6.30460i | 1.60467 | + | 0.429970i | ||||
\(216\) | −9.51928 | + | 9.51928i | −0.647705 | + | 0.647705i | ||||
\(217\) | 7.15705 | − | 4.51063i | 0.485853 | − | 0.306201i | ||||
\(218\) | − | 7.82512i | − | 0.529984i | ||||||
\(219\) | −0.112581 | + | 0.420160i | −0.00760755 | + | 0.0283918i | ||||
\(220\) | −4.58294 | + | 7.93788i | −0.308982 | + | 0.535172i | ||||
\(221\) | −1.75787 | − | 0.518295i | −0.118247 | − | 0.0348643i | ||||
\(222\) | −10.0862 | + | 5.82327i | −0.676941 | + | 0.390832i | ||||
\(223\) | 9.83194 | + | 9.83194i | 0.658396 | + | 0.658396i | 0.955000 | − | 0.296605i | \(-0.0958543\pi\) |
−0.296605 | + | 0.955000i | \(0.595854\pi\) | |||||||
\(224\) | 8.24753 | + | 13.0864i | 0.551061 | + | 0.874373i | ||||
\(225\) | − | 0.286819i | − | 0.0191213i | ||||||
\(226\) | 7.76216 | + | 2.07987i | 0.516332 | + | 0.138351i | ||||
\(227\) | 15.1225 | − | 4.05207i | 1.00372 | − | 0.268945i | 0.280715 | − | 0.959791i | \(-0.409428\pi\) |
0.723002 | + | 0.690846i | \(0.242762\pi\) | |||||||
\(228\) | 6.54309 | − | 1.75322i | 0.433327 | − | 0.116110i | ||||
\(229\) | −4.62362 | − | 1.23889i | −0.305537 | − | 0.0818684i | 0.102793 | − | 0.994703i | \(-0.467222\pi\) |
−0.408330 | + | 0.912834i | \(0.633889\pi\) | |||||||
\(230\) | − | 4.01520i | − | 0.264755i | ||||||
\(231\) | −14.0368 | + | 0.544290i | −0.923554 | + | 0.0358116i | ||||
\(232\) | 4.25736 | + | 4.25736i | 0.279509 | + | 0.279509i | ||||
\(233\) | 2.74537 | − | 1.58504i | 0.179855 | − | 0.103839i | −0.407369 | − | 0.913263i | \(-0.633554\pi\) |
0.587225 | + | 0.809424i | \(0.300221\pi\) | |||||||
\(234\) | −0.523707 | + | 0.285205i | −0.0342358 | + | 0.0186444i | ||||
\(235\) | −10.8116 | + | 18.7263i | −0.705271 | + | 1.22157i | ||||
\(236\) | 1.48831 | − | 5.55444i | 0.0968805 | − | 0.361563i | ||||
\(237\) | − | 9.26626i | − | 0.601908i | ||||||
\(238\) | 0.450636 | − | 0.855453i | 0.0292104 | − | 0.0554508i | ||||
\(239\) | 7.52256 | − | 7.52256i | 0.486594 | − | 0.486594i | −0.420636 | − | 0.907230i | \(-0.638193\pi\) |
0.907230 | + | 0.420636i | \(0.138193\pi\) | |||||||
\(240\) | −3.63051 | − | 0.972793i | −0.234349 | − | 0.0627935i | ||||
\(241\) | −0.507552 | − | 1.89421i | −0.0326943 | − | 0.122017i | 0.947650 | − | 0.319311i | \(-0.103451\pi\) |
−0.980344 | + | 0.197294i | \(0.936785\pi\) | |||||||
\(242\) | −0.571587 | + | 0.153156i | −0.0367430 | + | 0.00984526i | ||||
\(243\) | −2.06568 | + | 1.19262i | −0.132514 | + | 0.0765068i | ||||
\(244\) | 9.44829 | 0.604865 | ||||||||
\(245\) | 4.51369 | + | 12.7880i | 0.288369 | + | 0.816994i | ||||
\(246\) | 9.03695i | 0.576175i | ||||||||
\(247\) | 9.89177 | + | 0.246542i | 0.629398 | + | 0.0156871i | ||||
\(248\) | −6.93456 | − | 4.00367i | −0.440345 | − | 0.254233i | ||||
\(249\) | −3.57092 | − | 13.3269i | −0.226298 | − | 0.844556i | ||||
\(250\) | −7.53528 | + | 4.35050i | −0.476573 | + | 0.275150i | ||||
\(251\) | 1.64155 | 0.103614 | 0.0518070 | − | 0.998657i | \(-0.483502\pi\) | ||||
0.0518070 | + | 0.998657i | \(0.483502\pi\) | |||||||
\(252\) | 0.267231 | + | 0.862187i | 0.0168340 | + | 0.0543127i | ||||
\(253\) | 6.50266 | − | 6.50266i | 0.408819 | − | 0.408819i | ||||
\(254\) | −2.74403 | + | 10.2409i | −0.172176 | + | 0.642570i | ||||
\(255\) | 0.424180 | + | 1.58306i | 0.0265632 | + | 0.0991350i | ||||
\(256\) | 5.59174 | − | 9.68517i | 0.349483 | − | 0.605323i | ||||
\(257\) | −10.9118 | − | 18.8997i | −0.680657 | − | 1.17893i | −0.974781 | − | 0.223165i | \(-0.928361\pi\) |
0.294124 | − | 0.955767i | \(-0.404972\pi\) | |||||||
\(258\) | 10.6388 | − | 10.6388i | 0.662344 | − | 0.662344i | ||||
\(259\) | 0.997779 | + | 25.7319i | 0.0619990 | + | 1.59891i | ||||
\(260\) | −8.83971 | − | 5.40166i | −0.548216 | − | 0.334997i | ||||
\(261\) | 0.276539 | + | 0.478980i | 0.0171173 | + | 0.0296481i | ||||
\(262\) | 14.0388 | − | 3.76168i | 0.867319 | − | 0.232397i | ||||
\(263\) | −8.33334 | + | 14.4338i | −0.513856 | + | 0.890024i | 0.486015 | + | 0.873950i | \(0.338450\pi\) |
−0.999871 | + | 0.0160740i | \(0.994883\pi\) | |||||||
\(264\) | 6.64798 | + | 11.5146i | 0.409155 | + | 0.708677i | ||||
\(265\) | −9.38309 | − | 9.38309i | −0.576399 | − | 0.576399i | ||||
\(266\) | −1.15472 | + | 5.09100i | −0.0708007 | + | 0.312149i | ||||
\(267\) | −14.4203 | − | 14.4203i | −0.882509 | − | 0.882509i | ||||
\(268\) | −2.60800 | + | 9.73319i | −0.159309 | + | 0.594549i | ||||
\(269\) | 14.6567 | + | 8.46207i | 0.893637 | + | 0.515942i | 0.875130 | − | 0.483887i | \(-0.160775\pi\) |
0.0185068 | + | 0.999829i | \(0.494109\pi\) | |||||||
\(270\) | 6.48463 | + | 3.74391i | 0.394642 | + | 0.227847i | ||||
\(271\) | −13.4215 | − | 3.59627i | −0.815295 | − | 0.218458i | −0.173007 | − | 0.984921i | \(-0.555348\pi\) |
−0.642289 | + | 0.766463i | \(0.722015\pi\) | |||||||
\(272\) | 0.592522 | 0.0359269 | ||||||||
\(273\) | −0.219688 | − | 15.8751i | −0.0132961 | − | 0.960803i | ||||
\(274\) | 6.09200 | 0.368031 | ||||||||
\(275\) | −3.84198 | − | 1.02946i | −0.231680 | − | 0.0620785i | ||||
\(276\) | 6.16212 | + | 3.55770i | 0.370916 | + | 0.214148i | ||||
\(277\) | 17.0084 | + | 9.81980i | 1.02194 | + | 0.590015i | 0.914664 | − | 0.404215i | \(-0.132455\pi\) |
0.107272 | + | 0.994230i | \(0.465789\pi\) | |||||||
\(278\) | −0.452030 | + | 1.68700i | −0.0271110 | + | 0.101180i | ||||
\(279\) | −0.520121 | − | 0.520121i | −0.0311388 | − | 0.0311388i | ||||
\(280\) | 8.71779 | − | 9.42114i | 0.520988 | − | 0.563021i | ||||
\(281\) | −17.2002 | − | 17.2002i | −1.02608 | − | 1.02608i | −0.999651 | − | 0.0264298i | \(-0.991586\pi\) |
−0.0264298 | − | 0.999651i | \(-0.508414\pi\) | |||||||
\(282\) | 6.67786 | + | 11.5664i | 0.397661 | + | 0.688769i | ||||
\(283\) | −5.89745 | + | 10.2147i | −0.350567 | + | 0.607200i | −0.986349 | − | 0.164669i | \(-0.947345\pi\) |
0.635782 | + | 0.771869i | \(0.280678\pi\) | |||||||
\(284\) | 3.85922 | − | 1.03408i | 0.229003 | − | 0.0613611i | ||||
\(285\) | −4.42429 | − | 7.66310i | −0.262072 | − | 0.453923i | ||||
\(286\) | 1.94067 | + | 8.03878i | 0.114754 | + | 0.475343i | ||||
\(287\) | 17.6784 | + | 9.31267i | 1.04353 | + | 0.549709i | ||||
\(288\) | 0.951023 | − | 0.951023i | 0.0560396 | − | 0.0560396i | ||||
\(289\) | 8.37082 | + | 14.4987i | 0.492401 | + | 0.852864i | ||||
\(290\) | 1.67441 | − | 2.90016i | 0.0983247 | − | 0.170303i | ||||
\(291\) | 4.29300 | + | 16.0217i | 0.251660 | + | 0.939207i | ||||
\(292\) | 0.100322 | − | 0.374406i | 0.00587090 | − | 0.0219105i | ||||
\(293\) | −18.5497 | + | 18.5497i | −1.08368 | + | 1.08368i | −0.0875204 | + | 0.996163i | \(0.527894\pi\) |
−0.996163 | + | 0.0875204i | \(0.972106\pi\) | |||||||
\(294\) | 8.23433 | + | 1.53489i | 0.480236 | + | 0.0895166i | ||||
\(295\) | −7.51157 | −0.437340 | ||||||||
\(296\) | 21.1084 | − | 12.1869i | 1.22690 | − | 0.708350i | ||||
\(297\) | 4.43864 | + | 16.5652i | 0.257556 | + | 0.961212i | ||||
\(298\) | −3.69495 | − | 2.13328i | −0.214043 | − | 0.123578i | ||||
\(299\) | 7.16403 | + | 7.53027i | 0.414307 | + | 0.435487i | ||||
\(300\) | − | 3.07755i | − | 0.177682i | ||||||
\(301\) | −9.84866 | − | 31.7755i | −0.567667 | − | 1.83151i | ||||
\(302\) | −4.64985 | −0.267569 | ||||||||
\(303\) | 6.80239 | − | 3.92736i | 0.390787 | − | 0.225621i | ||||
\(304\) | −3.09007 | + | 0.827982i | −0.177228 | + | 0.0474880i | ||||
\(305\) | −3.19436 | − | 11.9215i | −0.182908 | − | 0.682624i | ||||
\(306\) | −0.0812038 | − | 0.0217585i | −0.00464211 | − | 0.00124385i | ||||
\(307\) | −1.29211 | + | 1.29211i | −0.0737445 | + | 0.0737445i | −0.743017 | − | 0.669273i | \(-0.766606\pi\) |
0.669273 | + | 0.743017i | \(0.266606\pi\) | |||||||
\(308\) | 12.5083 | − | 0.485019i | 0.712724 | − | 0.0276365i | ||||
\(309\) | − | 7.42189i | − | 0.422217i | ||||||
\(310\) | −1.15271 | + | 4.30198i | −0.0654696 | + | 0.244336i | ||||
\(311\) | 1.35809 | − | 2.35229i | 0.0770104 | − | 0.133386i | −0.824948 | − | 0.565208i | \(-0.808796\pi\) |
0.901959 | + | 0.431822i | \(0.142129\pi\) | |||||||
\(312\) | −13.1972 | + | 7.18708i | −0.747147 | + | 0.406888i | ||||
\(313\) | −22.0145 | + | 12.7101i | −1.24433 | + | 0.718415i | −0.969973 | − | 0.243212i | \(-0.921799\pi\) |
−0.274359 | + | 0.961627i | \(0.588466\pi\) | |||||||
\(314\) | 3.25787 | + | 3.25787i | 0.183852 | + | 0.183852i | ||||
\(315\) | 0.997529 | − | 0.628678i | 0.0562044 | − | 0.0354220i | ||||
\(316\) | 8.25721i | 0.464504i | ||||||||
\(317\) | −29.3670 | − | 7.86887i | −1.64942 | − | 0.441960i | −0.689967 | − | 0.723841i | \(-0.742375\pi\) |
−0.959449 | + | 0.281882i | \(0.909041\pi\) | |||||||
\(318\) | −7.91684 | + | 2.12131i | −0.443954 | + | 0.118957i | ||||
\(319\) | 7.40856 | − | 1.98512i | 0.414800 | − | 0.111145i | ||||
\(320\) | −3.50325 | − | 0.938694i | −0.195838 | − | 0.0524746i | ||||
\(321\) | − | 32.1390i | − | 1.79382i | ||||||
\(322\) | −4.63904 | + | 2.92369i | −0.258523 | + | 0.162931i | ||||
\(323\) | 0.986368 | + | 0.986368i | 0.0548830 | + | 0.0548830i | ||||
\(324\) | −10.6051 | + | 6.12288i | −0.589174 | + | 0.340160i | ||||
\(325\) | 1.27134 | − | 4.31195i | 0.0705214 | − | 0.239184i | ||||
\(326\) | 0.246000 | − | 0.426084i | 0.0136247 | − | 0.0235986i | ||||
\(327\) | 4.68828 | − | 17.4969i | 0.259262 | − | 0.967581i | ||||
\(328\) | − | 18.9125i | − | 1.04427i | ||||||
\(329\) | 29.5082 | − | 1.14421i | 1.62684 | − | 0.0630822i | ||||
\(330\) | 5.22926 | − | 5.22926i | 0.287862 | − | 0.287862i | ||||
\(331\) | −1.82858 | − | 0.489966i | −0.100508 | − | 0.0269310i | 0.208215 | − | 0.978083i | \(-0.433235\pi\) |
−0.308722 | + | 0.951152i | \(0.599901\pi\) | |||||||
\(332\) | 3.18207 | + | 11.8756i | 0.174639 | + | 0.651761i | ||||
\(333\) | 2.16271 | − | 0.579497i | 0.118516 | − | 0.0317563i | ||||
\(334\) | 2.17942 | − | 1.25829i | 0.119252 | − | 0.0688504i | ||||
\(335\) | 13.1627 | 0.719157 | ||||||||
\(336\) | 1.51964 | + | 4.90292i | 0.0829031 | + | 0.267476i | ||||
\(337\) | − | 15.8664i | − | 0.864300i | −0.901802 | − | 0.432150i | \(-0.857755\pi\) | ||
0.901802 | − | 0.432150i | \(-0.142245\pi\) | |||||||
\(338\) | −9.13742 | + | 1.96632i | −0.497010 | + | 0.106954i | ||||
\(339\) | 16.1100 | + | 9.30112i | 0.874976 | + | 0.505168i | ||||
\(340\) | −0.377988 | − | 1.41067i | −0.0204993 | − | 0.0765044i | ||||
\(341\) | −8.83392 | + | 5.10027i | −0.478384 | + | 0.276195i | ||||
\(342\) | 0.453892 | 0.0245437 | ||||||||
\(343\) | 11.4882 | − | 14.5266i | 0.620303 | − | 0.784362i | ||||
\(344\) | −22.2649 | + | 22.2649i | −1.20044 | + | 1.20044i | ||||
\(345\) | 2.40564 | − | 8.97796i | 0.129515 | − | 0.483357i | ||||
\(346\) | 4.60963 | + | 17.2034i | 0.247815 | + | 0.924860i | ||||
\(347\) | −8.10074 | + | 14.0309i | −0.434871 | + | 0.753218i | −0.997285 | − | 0.0736374i | \(-0.976539\pi\) |
0.562414 | + | 0.826856i | \(0.309873\pi\) | |||||||
\(348\) | 2.96725 | + | 5.13942i | 0.159061 | + | 0.275502i | ||||
\(349\) | 18.7058 | − | 18.7058i | 1.00130 | − | 1.00130i | 0.00129933 | − | 0.999999i | \(-0.499586\pi\) |
0.999999 | − | 0.00129933i | \(-0.000413590\pi\) | |||||||
\(350\) | 2.09837 | + | 1.10538i | 0.112163 | + | 0.0590851i | ||||
\(351\) | −18.8415 | + | 4.54859i | −1.00569 | + | 0.242786i | ||||
\(352\) | −9.32566 | − | 16.1525i | −0.497059 | − | 0.860932i | ||||
\(353\) | −22.1601 | + | 5.93777i | −1.17946 | + | 0.316036i | −0.794712 | − | 0.606986i | \(-0.792378\pi\) |
−0.384748 | + | 0.923022i | \(0.625712\pi\) | |||||||
\(354\) | −2.31978 | + | 4.01799i | −0.123295 | + | 0.213554i | ||||
\(355\) | −2.60952 | − | 4.51982i | −0.138499 | − | 0.239887i | ||||
\(356\) | 12.8500 | + | 12.8500i | 0.681049 | + | 0.681049i | ||||
\(357\) | 1.52015 | − | 1.64279i | 0.0804548 | − | 0.0869459i | ||||
\(358\) | −9.75560 | − | 9.75560i | −0.515600 | − | 0.515600i | ||||
\(359\) | 1.92833 | − | 7.19663i | 0.101773 | − | 0.379824i | −0.896186 | − | 0.443679i | \(-0.853673\pi\) |
0.997959 | + | 0.0638554i | \(0.0203397\pi\) | |||||||
\(360\) | −0.966518 | − | 0.558020i | −0.0509400 | − | 0.0294102i | ||||
\(361\) | 9.93212 | + | 5.73431i | 0.522743 | + | 0.301806i | ||||
\(362\) | 7.66889 | + | 2.05487i | 0.403068 | + | 0.108002i | ||||
\(363\) | −1.36982 | −0.0718971 | ||||||||
\(364\) | 0.195765 | + | 14.1464i | 0.0102609 | + | 0.741471i | ||||
\(365\) | −0.506330 | −0.0265025 | ||||||||
\(366\) | −7.36340 | − | 1.97302i | −0.384891 | − | 0.103131i | ||||
\(367\) | −30.3981 | − | 17.5504i | −1.58677 | − | 0.916122i | −0.993835 | − | 0.110871i | \(-0.964636\pi\) |
−0.592934 | − | 0.805251i | \(-0.702031\pi\) | |||||||
\(368\) | −2.91015 | − | 1.68018i | −0.151702 | − | 0.0875853i | ||||
\(369\) | 0.449652 | − | 1.67812i | 0.0234080 | − | 0.0873597i | ||||
\(370\) | −9.58617 | − | 9.58617i | −0.498361 | − | 0.498361i | ||||
\(371\) | −4.00859 | + | 17.6733i | −0.208116 | + | 0.917550i | ||||
\(372\) | −5.58086 | − | 5.58086i | −0.289354 | − | 0.289354i | ||||
\(373\) | 7.82695 | + | 13.5567i | 0.405264 | + | 0.701938i | 0.994352 | − | 0.106131i | \(-0.0338462\pi\) |
−0.589088 | + | 0.808069i | \(0.700513\pi\) | |||||||
\(374\) | −0.582916 | + | 1.00964i | −0.0301419 | + | 0.0522072i | ||||
\(375\) | −19.4554 | + | 5.21305i | −1.00467 | + | 0.269201i | ||||
\(376\) | −13.9754 | − | 24.2061i | −0.720727 | − | 1.24834i | ||||
\(377\) | 2.03429 | + | 8.42660i | 0.104771 | + | 0.433992i | ||||
\(378\) | −0.396223 | − | 10.2183i | −0.0203795 | − | 0.525572i | ||||
\(379\) | −17.5478 | + | 17.5478i | −0.901371 | + | 0.901371i | −0.995555 | − | 0.0941840i | \(-0.969976\pi\) |
0.0941840 | + | 0.995555i | \(0.469976\pi\) | |||||||
\(380\) | 3.94251 | + | 6.82862i | 0.202246 | + | 0.350301i | ||||
\(381\) | −12.2713 | + | 21.2545i | −0.628676 | + | 1.08890i | ||||
\(382\) | −2.11439 | − | 7.89102i | −0.108182 | − | 0.403740i | ||||
\(383\) | 0.255080 | − | 0.951971i | 0.0130340 | − | 0.0486435i | −0.959103 | − | 0.283059i | \(-0.908651\pi\) |
0.972137 | + | 0.234415i | \(0.0753175\pi\) | |||||||
\(384\) | 12.1771 | − | 12.1771i | 0.621408 | − | 0.621408i | ||||
\(385\) | −4.84088 | − | 15.6185i | −0.246714 | − | 0.795992i | ||||
\(386\) | 8.96824 | 0.456471 | ||||||||
\(387\) | −2.50494 | + | 1.44623i | −0.127333 | + | 0.0735159i | ||||
\(388\) | −3.82551 | − | 14.2770i | −0.194211 | − | 0.724805i | ||||
\(389\) | −4.37916 | − | 2.52831i | −0.222032 | − | 0.128190i | 0.384859 | − | 0.922976i | \(-0.374250\pi\) |
−0.606891 | + | 0.794785i | \(0.707584\pi\) | |||||||
\(390\) | 5.76112 | + | 6.05564i | 0.291726 | + | 0.306639i | ||||
\(391\) | 1.46526i | 0.0741013i | ||||||||
\(392\) | −17.2328 | − | 3.21221i | −0.870387 | − | 0.162241i | ||||
\(393\) | 33.6443 | 1.69713 | ||||||||
\(394\) | −12.2699 | + | 7.08401i | −0.618147 | + | 0.356887i | ||||
\(395\) | 10.4186 | − | 2.79167i | 0.524219 | − | 0.140464i | ||||
\(396\) | −0.281693 | − | 1.05129i | −0.0141556 | − | 0.0528294i | ||||
\(397\) | −1.12448 | − | 0.301304i | −0.0564361 | − | 0.0151220i | 0.230491 | − | 0.973075i | \(-0.425967\pi\) |
−0.286927 | + | 0.957953i | \(0.592634\pi\) | |||||||
\(398\) | −0.420683 | + | 0.420683i | −0.0210869 | + | 0.0210869i | ||||
\(399\) | −5.63213 | + | 10.6916i | −0.281959 | + | 0.535249i | ||||
\(400\) | 1.45342i | 0.0726709i | ||||||||
\(401\) | 0.396969 | − | 1.48151i | 0.0198237 | − | 0.0739830i | −0.955305 | − | 0.295621i | \(-0.904474\pi\) |
0.975129 | + | 0.221638i | \(0.0711402\pi\) | |||||||
\(402\) | 4.06502 | − | 7.04083i | 0.202745 | − | 0.351165i | ||||
\(403\) | −5.51386 | − | 10.1248i | −0.274665 | − | 0.504352i | ||||
\(404\) | −6.06164 | + | 3.49969i | −0.301578 | + | 0.174116i | ||||
\(405\) | 11.3111 | + | 11.3111i | 0.562053 | + | 0.562053i | ||||
\(406\) | −4.56998 | + | 0.177205i | −0.226804 | + | 0.00879454i | ||||
\(407\) | − | 31.0498i | − | 1.53908i | ||||||
\(408\) | −2.04631 | − | 0.548307i | −0.101307 | − | 0.0271453i | ||||
\(409\) | 10.3123 | − | 2.76317i | 0.509910 | − | 0.136630i | 0.00531434 | − | 0.999986i | \(-0.498308\pi\) |
0.504595 | + | 0.863356i | \(0.331642\pi\) | |||||||
\(410\) | −10.1608 | + | 2.72258i | −0.501807 | + | 0.134459i | ||||
\(411\) | 13.6217 | + | 3.64991i | 0.671907 | + | 0.180037i | ||||
\(412\) | 6.61369i | 0.325833i | ||||||||
\(413\) | 5.46958 | + | 8.67863i | 0.269140 | + | 0.427047i | ||||
\(414\) | 0.337130 | + | 0.337130i | 0.0165691 | + | 0.0165691i | ||||
\(415\) | 13.9084 | − | 8.03004i | 0.682738 | − | 0.394179i | ||||
\(416\) | 18.5128 | − | 10.0819i | 0.907667 | − | 0.494306i | ||||
\(417\) | −2.02147 | + | 3.50129i | −0.0989919 | + | 0.171459i | ||||
\(418\) | 1.62912 | − | 6.07995i | 0.0796828 | − | 0.297380i | ||||
\(419\) | − | 11.8652i | − | 0.579653i | −0.957079 | − | 0.289826i | \(-0.906402\pi\) | ||
0.957079 | − | 0.289826i | \(-0.0935976\pi\) | |||||||
\(420\) | 10.7034 | − | 6.74567i | 0.522273 | − | 0.329155i | ||||
\(421\) | 3.15236 | − | 3.15236i | 0.153636 | − | 0.153636i | −0.626103 | − | 0.779740i | \(-0.715351\pi\) |
0.779740 | + | 0.626103i | \(0.215351\pi\) | |||||||
\(422\) | 13.0938 | + | 3.50847i | 0.637395 | + | 0.170789i | ||||
\(423\) | −0.664541 | − | 2.48010i | −0.0323111 | − | 0.120587i | ||||
\(424\) | 16.5683 | − | 4.43947i | 0.804630 | − | 0.215600i | ||||
\(425\) | 0.548846 | − | 0.316876i | 0.0266229 | − | 0.0153708i | ||||
\(426\) | −3.22357 | −0.156183 | ||||||||
\(427\) | −11.4477 | + | 12.3714i | −0.553995 | + | 0.598692i | ||||
\(428\) | 28.6392i | 1.38433i | ||||||||
\(429\) | −0.476979 | + | 19.1374i | −0.0230288 | + | 0.923961i | ||||
\(430\) | 15.1671 | + | 8.75672i | 0.731422 | + | 0.422286i | ||||
\(431\) | 0.316193 | + | 1.18005i | 0.0152305 | + | 0.0568410i | 0.973123 | − | 0.230286i | \(-0.0739663\pi\) |
−0.957892 | + | 0.287127i | \(0.907300\pi\) | |||||||
\(432\) | 5.42704 | − | 3.13330i | 0.261109 | − | 0.150751i | ||||
\(433\) | −18.1346 | −0.871493 | −0.435747 | − | 0.900069i | \(-0.643516\pi\) | ||||
−0.435747 | + | 0.900069i | \(0.643516\pi\) | |||||||
\(434\) | 5.80972 | − | 1.80070i | 0.278875 | − | 0.0864361i | ||||
\(435\) | 5.48154 | − | 5.48154i | 0.262820 | − | 0.262820i | ||||
\(436\) | −4.17775 | + | 15.5916i | −0.200078 | + | 0.746701i | ||||
\(437\) | −2.04753 | − | 7.64149i | −0.0979467 | − | 0.365542i | ||||
\(438\) | −0.156369 | + | 0.270839i | −0.00747161 | + | 0.0129412i | ||||
\(439\) | 15.6253 | + | 27.0638i | 0.745755 | + | 1.29169i | 0.949841 | + | 0.312732i | \(0.101244\pi\) |
−0.204087 | + | 0.978953i | \(0.565422\pi\) | |||||||
\(440\) | −10.9438 | + | 10.9438i | −0.521725 | + | 0.521725i | ||||
\(441\) | −1.45271 | − | 0.694739i | −0.0691766 | − | 0.0330828i | ||||
\(442\) | −1.12435 | − | 0.687051i | −0.0534797 | − | 0.0326797i | ||||
\(443\) | 12.3867 | + | 21.4544i | 0.588510 | + | 1.01933i | 0.994428 | + | 0.105420i | \(0.0336186\pi\) |
−0.405918 | + | 0.913910i | \(0.633048\pi\) | |||||||
\(444\) | 23.2058 | − | 6.21797i | 1.10130 | − | 0.295092i | ||||
\(445\) | 11.8692 | − | 20.5581i | 0.562656 | − | 0.974549i | ||||
\(446\) | 4.99844 | + | 8.65756i | 0.236683 | + | 0.409947i | ||||
\(447\) | −6.98376 | − | 6.98376i | −0.330321 | − | 0.330321i | ||||
\(448\) | 1.46637 | + | 4.73106i | 0.0692795 | + | 0.223522i | ||||
\(449\) | 7.07560 | + | 7.07560i | 0.333918 | + | 0.333918i | 0.854072 | − | 0.520154i | \(-0.174126\pi\) |
−0.520154 | + | 0.854072i | \(0.674126\pi\) | |||||||
\(450\) | 0.0533721 | − | 0.199188i | 0.00251599 | − | 0.00938979i | ||||
\(451\) | −20.8648 | − | 12.0463i | −0.982485 | − | 0.567238i | ||||
\(452\) | −14.3557 | − | 8.28828i | −0.675236 | − | 0.389848i | ||||
\(453\) | −10.3970 | − | 2.78587i | −0.488495 | − | 0.130892i | ||||
\(454\) | 11.2562 | 0.528278 | ||||||||
\(455\) | 17.7832 | − | 5.02973i | 0.833688 | − | 0.235797i | ||||
\(456\) | 11.4379 | 0.535631 | ||||||||
\(457\) | 20.2407 | + | 5.42349i | 0.946821 | + | 0.253700i | 0.699013 | − | 0.715109i | \(-0.253623\pi\) |
0.247808 | + | 0.968809i | \(0.420290\pi\) | |||||||
\(458\) | −2.98043 | − | 1.72075i | −0.139266 | − | 0.0804055i | ||||
\(459\) | −2.36642 | − | 1.36625i | −0.110455 | − | 0.0637713i | ||||
\(460\) | −2.14367 | + | 8.00030i | −0.0999494 | + | 0.373016i | ||||
\(461\) | 8.07954 | + | 8.07954i | 0.376302 | + | 0.376302i | 0.869766 | − | 0.493464i | \(-0.164270\pi\) |
−0.493464 | + | 0.869766i | \(0.664270\pi\) | |||||||
\(462\) | −9.84943 | − | 2.23402i | −0.458237 | − | 0.103936i | ||||
\(463\) | −0.417027 | − | 0.417027i | −0.0193809 | − | 0.0193809i | 0.697350 | − | 0.716731i | \(-0.254362\pi\) |
−0.716731 | + | 0.697350i | \(0.754362\pi\) | |||||||
\(464\) | −1.40133 | − | 2.42717i | −0.0650549 | − | 0.112678i | ||||
\(465\) | −5.15490 | + | 8.92856i | −0.239053 | + | 0.414052i | ||||
\(466\) | 2.20153 | − | 0.589898i | 0.101984 | − | 0.0273265i | ||||
\(467\) | −2.80499 | − | 4.85839i | −0.129800 | − | 0.224819i | 0.793799 | − | 0.608180i | \(-0.208100\pi\) |
−0.923599 | + | 0.383360i | \(0.874767\pi\) | |||||||
\(468\) | 1.19576 | − | 0.288671i | 0.0552738 | − | 0.0133438i | ||||
\(469\) | −9.58449 | − | 15.2078i | −0.442571 | − | 0.702231i | ||||
\(470\) | −10.9930 | + | 10.9930i | −0.507069 | + | 0.507069i | ||||
\(471\) | 5.33267 | + | 9.23646i | 0.245716 | + | 0.425593i | ||||
\(472\) | 4.85484 | − | 8.40883i | 0.223462 | − | 0.387048i | ||||
\(473\) | 10.3816 | + | 38.7448i | 0.477349 | + | 1.78149i | ||||
\(474\) | 1.72429 | − | 6.43515i | 0.0791994 | − | 0.295576i | ||||
\(475\) | −2.41950 | + | 2.41950i | −0.111014 | + | 0.111014i | ||||
\(476\) | −1.35461 | + | 1.46390i | −0.0620885 | + | 0.0670978i | ||||
\(477\) | 1.57567 | 0.0721452 | ||||||||
\(478\) | 6.62402 | − | 3.82438i | 0.302976 | − | 0.174923i | ||||
\(479\) | −3.70453 | − | 13.8255i | −0.169264 | − | 0.631703i | −0.997458 | − | 0.0712606i | \(-0.977298\pi\) |
0.828193 | − | 0.560442i | \(-0.189369\pi\) | |||||||
\(480\) | −16.3256 | − | 9.42556i | −0.745156 | − | 0.430216i | ||||
\(481\) | 35.0822 | + | 0.874387i | 1.59961 | + | 0.0398686i | ||||
\(482\) | − | 1.40992i | − | 0.0642201i | ||||||
\(483\) | −12.1245 | + | 3.75794i | −0.551685 | + | 0.170992i | ||||
\(484\) | 1.22066 | 0.0554844 | ||||||||
\(485\) | −16.7208 | + | 9.65378i | −0.759254 | + | 0.438356i | ||||
\(486\) | −1.65648 | + | 0.443853i | −0.0751396 | + | 0.0201336i | ||||
\(487\) | −4.08170 | − | 15.2331i | −0.184959 | − | 0.690278i | −0.994639 | − | 0.103406i | \(-0.967026\pi\) |
0.809680 | − | 0.586872i | \(-0.199641\pi\) | |||||||
\(488\) | 15.4101 | + | 4.12913i | 0.697583 | + | 0.186917i | ||||
\(489\) | 0.805334 | − | 0.805334i | 0.0364185 | − | 0.0364185i | ||||
\(490\) | 0.755001 | + | 9.72081i | 0.0341075 | + | 0.439141i | ||||
\(491\) | − | 25.0495i | − | 1.13047i | −0.824930 | − | 0.565234i | \(-0.808786\pi\) | ||
0.824930 | − | 0.565234i | \(-0.191214\pi\) | |||||||
\(492\) | 4.82473 | − | 18.0062i | 0.217516 | − | 0.811780i | ||||
\(493\) | −0.611038 | + | 1.05835i | −0.0275198 | + | 0.0476656i | ||||
\(494\) | 6.82367 | + | 2.01191i | 0.307011 | + | 0.0905199i | ||||
\(495\) | −1.23125 | + | 0.710860i | −0.0553404 | + | 0.0319508i | ||||
\(496\) | 2.63564 | + | 2.63564i | 0.118344 | + | 0.118344i | ||||
\(497\) | −3.32192 | + | 6.30608i | −0.149009 | + | 0.282866i | ||||
\(498\) | − | 9.91961i | − | 0.444509i | ||||||
\(499\) | −22.6437 | − | 6.06736i | −1.01367 | − | 0.271612i | −0.286508 | − | 0.958078i | \(-0.592495\pi\) |
−0.727162 | + | 0.686466i | \(0.759161\pi\) | |||||||
\(500\) | 17.3368 | − | 4.64537i | 0.775324 | − | 0.207747i | ||||
\(501\) | 5.62704 | − | 1.50776i | 0.251398 | − | 0.0673618i | ||||
\(502\) | 1.14001 | + | 0.305465i | 0.0508812 | + | 0.0136336i | ||||
\(503\) | 0.879009i | 0.0391931i | 0.999808 | + | 0.0195965i | \(0.00623817\pi\) | ||||
−0.999808 | + | 0.0195965i | \(0.993762\pi\) | |||||||
\(504\) | 0.0590560 | + | 1.52301i | 0.00263056 | + | 0.0678402i | ||||
\(505\) | 6.46516 | + | 6.46516i | 0.287696 | + | 0.287696i | ||||
\(506\) | 5.72594 | − | 3.30587i | 0.254549 | − | 0.146964i | ||||
\(507\) | −21.6093 | − | 1.07785i | −0.959702 | − | 0.0478689i | ||||
\(508\) | 10.9350 | − | 18.9400i | 0.485162 | − | 0.840325i | ||||
\(509\) | −2.58398 | + | 9.64356i | −0.114533 | + | 0.427443i | −0.999252 | − | 0.0386826i | \(-0.987684\pi\) |
0.884719 | + | 0.466126i | \(0.154351\pi\) | |||||||
\(510\) | 1.17832i | 0.0521769i | ||||||||
\(511\) | 0.368686 | + | 0.584998i | 0.0163097 | + | 0.0258788i | ||||
\(512\) | −8.94753 | + | 8.94753i | −0.395429 | + | 0.395429i | ||||
\(513\) | 14.2504 | + | 3.81837i | 0.629169 | + | 0.168585i | ||||
\(514\) | −4.06099 | − | 15.1558i | −0.179122 | − | 0.668494i | ||||
\(515\) | 8.34491 | − | 2.23601i | 0.367721 | − | 0.0985305i | ||||
\(516\) | −26.8778 | + | 15.5179i | −1.18323 | + | 0.683138i | ||||
\(517\) | −35.6065 | −1.56597 | ||||||||
\(518\) | −4.09535 | + | 18.0558i | −0.179939 | + | 0.793325i | ||||
\(519\) | 41.2284i | 1.80973i | ||||||||
\(520\) | −12.0569 | − | 12.6732i | −0.528728 | − | 0.555758i | ||||
\(521\) | −13.4841 | − | 7.78505i | −0.590749 | − | 0.341069i | 0.174644 | − | 0.984632i | \(-0.444122\pi\) |
−0.765394 | + | 0.643562i | \(0.777456\pi\) | |||||||
\(522\) | 0.102918 | + | 0.384097i | 0.00450462 | + | 0.0168115i | ||||
\(523\) | 11.1498 | − | 6.43737i | 0.487549 | − | 0.281486i | −0.236008 | − | 0.971751i | \(-0.575839\pi\) |
0.723557 | + | 0.690265i | \(0.242506\pi\) | |||||||
\(524\) | −29.9806 | −1.30971 | ||||||||
\(525\) | 4.02967 | + | 3.72882i | 0.175869 | + | 0.162739i | ||||
\(526\) | −8.47314 | + | 8.47314i | −0.369447 | + | 0.369447i | ||||
\(527\) | 0.420656 | − | 1.56991i | 0.0183241 | − | 0.0683864i | ||||
\(528\) | −1.60188 | − | 5.97829i | −0.0697128 | − | 0.260172i | ||||
\(529\) | −7.34506 | + | 12.7220i | −0.319351 | + | 0.553131i | ||||
\(530\) | −4.77025 | − | 8.26232i | −0.207206 | − | 0.358892i | ||||
\(531\) | 0.630697 | − | 0.630697i | 0.0273699 | − | 0.0273699i | ||||
\(532\) | 5.01882 | − | 9.52734i | 0.217594 | − | 0.413062i | ||||
\(533\) | 14.1983 | − | 23.2353i | 0.614997 | − | 1.00643i | ||||
\(534\) | −7.33112 | − | 12.6979i | −0.317248 | − | 0.549490i | ||||
\(535\) | 36.1359 | − | 9.68260i | 1.56229 | − | 0.418615i | ||||
\(536\) | −8.50727 | + | 14.7350i | −0.367458 | + | 0.636456i | ||||
\(537\) | −15.9686 | − | 27.6583i | −0.689094 | − | 1.19355i | ||||
\(538\) | 8.60403 | + | 8.60403i | 0.370946 | + | 0.370946i | ||||
\(539\) | −14.5202 | + | 16.9657i | −0.625430 | + | 0.730763i | ||||
\(540\) | −10.9218 | − | 10.9218i | −0.470000 | − | 0.470000i | ||||
\(541\) | −4.11014 | + | 15.3392i | −0.176709 | + | 0.659485i | 0.819546 | + | 0.573014i | \(0.194226\pi\) |
−0.996254 | + | 0.0864715i | \(0.972441\pi\) | |||||||
\(542\) | −8.65161 | − | 4.99501i | −0.371618 | − | 0.214554i | ||||
\(543\) | 15.9164 | + | 9.18935i | 0.683039 | + | 0.394353i | ||||
\(544\) | 2.87053 | + | 0.769155i | 0.123073 | + | 0.0329772i | ||||
\(545\) | 21.0853 | 0.903197 | ||||||||
\(546\) | 2.80151 | − | 11.0657i | 0.119894 | − | 0.473566i | ||||
\(547\) | 29.5180 | 1.26210 | 0.631048 | − | 0.775743i | \(-0.282625\pi\) | ||||
0.631048 | + | 0.775743i | \(0.282625\pi\) | |||||||
\(548\) | −12.1383 | − | 3.25245i | −0.518524 | − | 0.138938i | ||||
\(549\) | 1.26918 | + | 0.732762i | 0.0541673 | + | 0.0312735i | ||||
\(550\) | −2.47658 | − | 1.42985i | −0.105602 | − | 0.0609692i | ||||
\(551\) | 1.70771 | − | 6.37327i | 0.0727510 | − | 0.271510i | ||||
\(552\) | 8.49558 | + | 8.49558i | 0.361596 | + | 0.361596i | ||||
\(553\) | −10.8118 | − | 10.0046i | −0.459764 | − | 0.425439i | ||||
\(554\) | 9.98454 | + | 9.98454i | 0.424203 | + | 0.424203i | ||||
\(555\) | −15.6912 | − | 27.1780i | −0.666055 | − | 1.15364i | ||||
\(556\) | 1.80134 | − | 3.12002i | 0.0763940 | − | 0.132318i | ||||
\(557\) | 1.96111 | − | 0.525477i | 0.0830947 | − | 0.0222652i | −0.217032 | − | 0.976164i | \(-0.569638\pi\) |
0.300127 | + | 0.953899i | \(0.402971\pi\) | |||||||
\(558\) | −0.264423 | − | 0.457995i | −0.0111939 | − | 0.0193885i | ||||
\(559\) | −44.0689 | + | 10.6388i | −1.86392 | + | 0.449974i | ||||
\(560\) | −5.05484 | + | 3.18574i | −0.213606 | + | 0.134622i | ||||
\(561\) | −1.90830 | + | 1.90830i | −0.0805686 | + | 0.0805686i | ||||
\(562\) | −8.74440 | − | 15.1457i | −0.368860 | − | 0.638885i | ||||
\(563\) | −11.9044 | + | 20.6190i | −0.501711 | + | 0.868988i | 0.498287 | + | 0.867012i | \(0.333962\pi\) |
−0.999998 | + | 0.00197638i | \(0.999371\pi\) | |||||||
\(564\) | −7.13048 | − | 26.6113i | −0.300247 | − | 1.12054i | ||||
\(565\) | −5.60434 | + | 20.9157i | −0.235777 | + | 0.879930i | ||||
\(566\) | −5.99639 | + | 5.99639i | −0.252047 | + | 0.252047i | ||||
\(567\) | 4.83226 | − | 21.3047i | 0.202936 | − | 0.894714i | ||||
\(568\) | 6.74629 | 0.283068 | ||||||||
\(569\) | 19.7784 | − | 11.4191i | 0.829154 | − | 0.478712i | −0.0244092 | − | 0.999702i | \(-0.507770\pi\) |
0.853563 | + | 0.520990i | \(0.174437\pi\) | |||||||
\(570\) | −1.64657 | − | 6.14508i | −0.0689672 | − | 0.257389i | ||||
\(571\) | 14.3799 | + | 8.30223i | 0.601779 | + | 0.347437i | 0.769741 | − | 0.638356i | \(-0.220385\pi\) |
−0.167962 | + | 0.985793i | \(0.553719\pi\) | |||||||
\(572\) | 0.425038 | − | 17.0534i | 0.0177717 | − | 0.713039i | ||||
\(573\) | − | 18.9111i | − | 0.790021i | ||||||
\(574\) | 10.5442 | + | 9.75703i | 0.440108 | + | 0.407251i | ||||
\(575\) | −3.59418 | −0.149888 | ||||||||
\(576\) | 0.372961 | − | 0.215329i | 0.0155401 | − | 0.00897206i | ||||
\(577\) | −23.7838 | + | 6.37286i | −0.990134 | + | 0.265306i | −0.717307 | − | 0.696757i | \(-0.754625\pi\) |
−0.272827 | + | 0.962063i | \(0.587959\pi\) | |||||||
\(578\) | 3.11533 | + | 11.6266i | 0.129581 | + | 0.483602i | ||||
\(579\) | 20.0529 | + | 5.37316i | 0.833371 | + | 0.223301i | ||||
\(580\) | −4.88463 | + | 4.88463i | −0.202823 | + | 0.202823i | ||||
\(581\) | −19.4051 | − | 10.2223i | −0.805061 | − | 0.424091i | ||||
\(582\) | 11.9254i | 0.494325i | ||||||||
\(583\) | 5.65543 | − | 21.1064i | 0.234224 | − | 0.874136i | ||||
\(584\) | 0.327249 | − | 0.566812i | 0.0135417 | − | 0.0234548i | ||||
\(585\) | −0.768506 | − | 1.41116i | −0.0317738 | − | 0.0583445i | ||||
\(586\) | −16.3340 | + | 9.43043i | −0.674751 | + | 0.389567i | ||||
\(587\) | 30.7522 | + | 30.7522i | 1.26928 | + | 1.26928i | 0.946461 | + | 0.322819i | \(0.104631\pi\) |
0.322819 | + | 0.946461i | \(0.395369\pi\) | |||||||
\(588\) | −15.5875 | − | 7.45450i | −0.642816 | − | 0.307418i | ||||
\(589\) | 8.77508i | 0.361571i | ||||||||
\(590\) | −5.21657 | − | 1.39777i | −0.214763 | − | 0.0575455i | ||||
\(591\) | −31.6796 | + | 8.48851i | −1.30312 | + | 0.349171i | ||||
\(592\) | −10.9593 | + | 2.93653i | −0.450423 | + | 0.120690i | ||||
\(593\) | 9.51478 | + | 2.54948i | 0.390725 | + | 0.104694i | 0.448833 | − | 0.893616i | \(-0.351840\pi\) |
−0.0581076 | + | 0.998310i | \(0.518507\pi\) | |||||||
\(594\) | 12.3300i | 0.505907i | ||||||||
\(595\) | 2.30508 | + | 1.21427i | 0.0944990 | + | 0.0497803i | ||||
\(596\) | 6.22327 | + | 6.22327i | 0.254915 | + | 0.254915i | ||||
\(597\) | −1.19269 | + | 0.688599i | −0.0488135 | + | 0.0281825i | ||||
\(598\) | 3.57396 | + | 6.56266i | 0.146150 | + | 0.268367i | ||||
\(599\) | 20.3493 | − | 35.2461i | 0.831452 | − | 1.44012i | −0.0654350 | − | 0.997857i | \(-0.520844\pi\) |
0.896887 | − | 0.442260i | \(-0.145823\pi\) | |||||||
\(600\) | 1.34496 | − | 5.01946i | 0.0549078 | − | 0.204919i | ||||
\(601\) | 10.7311i | 0.437731i | 0.975755 | + | 0.218865i | \(0.0702356\pi\) | ||||
−0.975755 | + | 0.218865i | \(0.929764\pi\) | |||||||
\(602\) | −0.926736 | − | 23.8998i | −0.0377710 | − | 0.974083i | ||||
\(603\) | −1.10519 | + | 1.10519i | −0.0450068 | + | 0.0450068i | ||||
\(604\) | 9.26484 | + | 2.48251i | 0.376981 | + | 0.101012i | ||||
\(605\) | −0.412690 | − | 1.54018i | −0.0167782 | − | 0.0626173i | ||||
\(606\) | 5.45488 | − | 1.46163i | 0.221589 | − | 0.0593747i | ||||
\(607\) | −10.0602 | + | 5.80826i | −0.408331 | + | 0.235750i | −0.690072 | − | 0.723741i | \(-0.742421\pi\) |
0.281742 | + | 0.959490i | \(0.409088\pi\) | |||||||
\(608\) | −16.0449 | −0.650708 | ||||||||
\(609\) | −10.3246 | − | 2.34179i | −0.418374 | − | 0.0948942i | ||||
\(610\) | − | 8.87356i | − | 0.359280i | ||||||
\(611\) | 1.00271 | − | 40.2307i | 0.0405652 | − | 1.62756i | ||||
\(612\) | 0.150182 | + | 0.0867077i | 0.00607076 | + | 0.00350495i | ||||
\(613\) | 5.19678 | + | 19.3947i | 0.209896 | + | 0.783343i | 0.987901 | + | 0.155085i | \(0.0495651\pi\) |
−0.778005 | + | 0.628258i | \(0.783768\pi\) | |||||||
\(614\) | −1.13777 | + | 0.656892i | −0.0459167 | + | 0.0265100i | ||||
\(615\) | −24.3507 | −0.981915 | ||||||||
\(616\) | 20.6129 | + | 4.67534i | 0.830516 | + | 0.188375i | ||||
\(617\) | −2.09240 | + | 2.09240i | −0.0842369 | + | 0.0842369i | −0.747970 | − | 0.663733i | \(-0.768971\pi\) |
0.663733 | + | 0.747970i | \(0.268971\pi\) | |||||||
\(618\) | 1.38109 | − | 5.15429i | 0.0555555 | − | 0.207336i | ||||
\(619\) | 9.21770 | + | 34.4009i | 0.370491 | + | 1.38269i | 0.859823 | + | 0.510593i | \(0.170574\pi\) |
−0.489332 | + | 0.872098i | \(0.662759\pi\) | |||||||
\(620\) | 4.59356 | − | 7.95628i | 0.184482 | − | 0.319532i | ||||
\(621\) | 7.74840 | + | 13.4206i | 0.310933 | + | 0.538551i | ||||
\(622\) | 1.38088 | − | 1.38088i | 0.0553681 | − | 0.0553681i | ||||
\(623\) | −32.3948 | + | 1.25614i | −1.29787 | + | 0.0503262i | ||||
\(624\) | 6.79979 | − | 1.64156i | 0.272210 | − | 0.0657149i | ||||
\(625\) | −8.60568 | − | 14.9055i | −0.344227 | − | 0.596219i | ||||
\(626\) | −17.6535 | + | 4.73025i | −0.705578 | + | 0.189059i | ||||
\(627\) | 7.28539 | − | 12.6187i | 0.290950 | − | 0.503941i | ||||
\(628\) | −4.75197 | − | 8.23065i | −0.189624 | − | 0.328439i | ||||
\(629\) | 3.49826 | + | 3.49826i | 0.139485 | + | 0.139485i | ||||
\(630\) | 0.809741 | − | 0.250976i | 0.0322609 | − | 0.00999910i | ||||
\(631\) | 9.03483 | + | 9.03483i | 0.359671 | + | 0.359671i | 0.863692 | − | 0.504021i | \(-0.168146\pi\) |
−0.504021 | + | 0.863692i | \(0.668146\pi\) | |||||||
\(632\) | −3.60859 | + | 13.4675i | −0.143542 | + | 0.535707i | ||||
\(633\) | 27.1755 | + | 15.6898i | 1.08013 | + | 0.623613i | ||||
\(634\) | −18.9303 | − | 10.9294i | −0.751817 | − | 0.434062i | ||||
\(635\) | −27.5948 | − | 7.39399i | −1.09506 | − | 0.293422i | ||||
\(636\) | 16.9069 | 0.670401 | ||||||||
\(637\) | −18.7601 | − | 16.8837i | −0.743302 | − | 0.668956i | ||||
\(638\) | 5.51443 | 0.218318 | ||||||||
\(639\) | 0.598604 | + | 0.160396i | 0.0236804 | + | 0.00634515i | ||||
\(640\) | 17.3601 | + | 10.0228i | 0.686217 | + | 0.396187i | ||||
\(641\) | −15.8985 | − | 9.17899i | −0.627952 | − | 0.362548i | 0.152007 | − | 0.988379i | \(-0.451426\pi\) |
−0.779958 | + | 0.625831i | \(0.784760\pi\) | |||||||
\(642\) | 5.98052 | − | 22.3196i | 0.236032 | − | 0.880884i | ||||
\(643\) | 29.9544 | + | 29.9544i | 1.18129 | + | 1.18129i | 0.979412 | + | 0.201874i | \(0.0647030\pi\) |
0.201874 | + | 0.979412i | \(0.435297\pi\) | |||||||
\(644\) | 10.8042 | − | 3.34872i | 0.425746 | − | 0.131958i | ||||
\(645\) | 28.6670 | + | 28.6670i | 1.12876 | + | 1.12876i | ||||
\(646\) | 0.501458 | + | 0.868551i | 0.0197296 | + | 0.0341727i | ||||
\(647\) | 9.86908 | − | 17.0937i | 0.387993 | − | 0.672024i | −0.604186 | − | 0.796843i | \(-0.706502\pi\) |
0.992180 | + | 0.124819i | \(0.0398350\pi\) | |||||||
\(648\) | −19.9728 | + | 5.35168i | −0.784604 | + | 0.210234i | ||||
\(649\) | −6.18457 | − | 10.7120i | −0.242766 | − | 0.420482i | ||||
\(650\) | 1.68529 | − | 2.75795i | 0.0661025 | − | 0.108176i | ||||
\(651\) | 14.0693 | − | 0.545551i | 0.551421 | − | 0.0213818i | ||||
\(652\) | −0.717637 | + | 0.717637i | −0.0281049 | + | 0.0281049i | ||||
\(653\) | 0.0419432 | + | 0.0726478i | 0.00164136 | + | 0.00284293i | 0.866845 | − | 0.498578i | \(-0.166144\pi\) |
−0.865204 | + | 0.501421i | \(0.832811\pi\) | |||||||
\(654\) | 6.51175 | − | 11.2787i | 0.254630 | − | 0.441031i | ||||
\(655\) | 10.1361 | + | 37.8285i | 0.396051 | + | 1.47808i | ||||
\(656\) | −2.27855 | + | 8.50367i | −0.0889625 | + | 0.332013i | ||||
\(657\) | 0.0425133 | − | 0.0425133i | 0.00165860 | − | 0.00165860i | ||||
\(658\) | 20.7055 | + | 4.69636i | 0.807185 | + | 0.183083i | ||||
\(659\) | 40.2054 | 1.56618 | 0.783089 | − | 0.621909i | \(-0.213643\pi\) | ||||
0.783089 | + | 0.621909i | \(0.213643\pi\) | |||||||
\(660\) | −13.2112 | + | 7.62747i | −0.514244 | + | 0.296899i | ||||
\(661\) | 6.89030 | + | 25.7149i | 0.268001 | + | 1.00020i | 0.960388 | + | 0.278668i | \(0.0898929\pi\) |
−0.692386 | + | 0.721527i | \(0.743440\pi\) | |||||||
\(662\) | −1.17872 | − | 0.680535i | −0.0458123 | − | 0.0264497i | ||||
\(663\) | −2.10239 | − | 2.20987i | −0.0816502 | − | 0.0858243i | ||||
\(664\) | 20.7597i | 0.805634i | ||||||||
\(665\) | −13.7181 | − | 3.11148i | −0.531963 | − | 0.120658i | ||||
\(666\) | 1.60978 | 0.0623776 | ||||||||
\(667\) | 6.00218 | − | 3.46536i | 0.232405 | − | 0.134179i | ||||
\(668\) | −5.01428 | + | 1.34357i | −0.194008 | + | 0.0519844i | ||||
\(669\) | 5.98946 | + | 22.3530i | 0.231566 | + | 0.864215i | ||||
\(670\) | 9.14113 | + | 2.44936i | 0.353153 | + | 0.0946270i | ||||
\(671\) | 14.3708 | − | 14.3708i | 0.554779 | − | 0.554779i | ||||
\(672\) | 0.997521 | + | 25.7253i | 0.0384802 | + | 0.992374i | ||||
\(673\) | − | 2.18487i | − | 0.0842204i | −0.999113 | − | 0.0421102i | \(-0.986592\pi\) | ||
0.999113 | − | 0.0421102i | \(-0.0134081\pi\) | |||||||
\(674\) | 2.95247 | − | 11.0188i | 0.113725 | − | 0.424428i | ||||
\(675\) | 3.35133 | − | 5.80468i | 0.128993 | − | 0.223422i | ||||
\(676\) | 19.2561 | + | 0.960475i | 0.740621 | + | 0.0369413i | ||||
\(677\) | −3.62597 | + | 2.09346i | −0.139357 | + | 0.0804580i | −0.568058 | − | 0.822989i | \(-0.692305\pi\) |
0.428700 | + | 0.903447i | \(0.358972\pi\) | |||||||
\(678\) | 9.45716 | + | 9.45716i | 0.363200 | + | 0.363200i | ||||
\(679\) | 23.3290 | + | 12.2893i | 0.895285 | + | 0.471619i | ||||
\(680\) | − | 2.46599i | − | 0.0945663i | ||||||
\(681\) | 25.1687 | + | 6.74393i | 0.964467 | + | 0.258428i | ||||
\(682\) | −7.08397 | + | 1.89814i | −0.271259 | + | 0.0726837i | ||||
\(683\) | 11.4923 | − | 3.07935i | 0.439740 | − | 0.117828i | −0.0321547 | − | 0.999483i | \(-0.510237\pi\) |
0.471895 | + | 0.881655i | \(0.343570\pi\) | |||||||
\(684\) | −0.904382 | − | 0.242328i | −0.0345799 | − | 0.00926566i | ||||
\(685\) | 16.4153i | 0.627197i | ||||||||
\(686\) | 10.6814 | − | 7.95055i | 0.407816 | − | 0.303553i | ||||
\(687\) | −5.63326 | − | 5.63326i | −0.214922 | − | 0.214922i | ||||
\(688\) | 12.6934 | − | 7.32856i | 0.483933 | − | 0.279399i | ||||
\(689\) | 23.6882 | + | 6.98427i | 0.902447 | + | 0.266080i | ||||
\(690\) | 3.34129 | − | 5.78728i | 0.127201 | − | 0.220318i | ||||
\(691\) | 9.70177 | − | 36.2075i | 0.369073 | − | 1.37740i | −0.492742 | − | 0.870175i | \(-0.664005\pi\) |
0.861815 | − | 0.507223i | \(-0.169328\pi\) | |||||||
\(692\) | − | 36.7388i | − | 1.39660i | ||||||
\(693\) | 1.71784 | + | 0.904926i | 0.0652554 | + | 0.0343753i | ||||
\(694\) | −8.23664 | + | 8.23664i | −0.312659 | + | 0.312659i | ||||
\(695\) | −4.54574 | − | 1.21803i | −0.172430 | − | 0.0462024i | ||||
\(696\) | 2.59351 | + | 9.67912i | 0.0983068 | + | 0.366886i | ||||
\(697\) | 3.70797 | − | 0.993546i | 0.140449 | − | 0.0376333i | ||||
\(698\) | 16.4715 | − | 9.50980i | 0.623454 | − | 0.359951i | ||||
\(699\) | 5.27603 | 0.199558 | ||||||||
\(700\) | −3.59086 | − | 3.32277i | −0.135722 | − | 0.125589i | ||||
\(701\) | − | 31.0974i | − | 1.17453i | −0.809394 | − | 0.587266i | \(-0.800204\pi\) | ||
0.809394 | − | 0.587266i | \(-0.199796\pi\) | |||||||
\(702\) | −13.9313 | − | 0.347223i | −0.525803 | − | 0.0131051i | ||||
\(703\) | −23.1322 | − | 13.3554i | −0.872449 | − | 0.503709i | ||||
\(704\) | −1.54573 | − | 5.76873i | −0.0582568 | − | 0.217417i | ||||
\(705\) | −31.1665 | + | 17.9940i | −1.17380 | + | 0.677692i | ||||
\(706\) | −16.4944 | −0.620776 | ||||||||
\(707\) | 2.76201 | − | 12.1773i | 0.103876 | − | 0.457973i | ||||
\(708\) | 6.76734 | − | 6.76734i | 0.254332 | − | 0.254332i | ||||
\(709\) | 3.92057 | − | 14.6318i | 0.147240 | − | 0.549508i | −0.852405 | − | 0.522882i | \(-0.824857\pi\) |
0.999645 | − | 0.0266262i | \(-0.00847640\pi\) | |||||||
\(710\) | −0.971174 | − | 3.62447i | −0.0364475 | − | 0.136024i | ||||
\(711\) | −0.640388 | + | 1.10918i | −0.0240164 | + | 0.0415977i | ||||
\(712\) | 15.3425 | + | 26.5741i | 0.574986 | + | 0.995905i | ||||
\(713\) | −6.51773 | + | 6.51773i | −0.244091 | + | 0.244091i | ||||
\(714\) | 1.36140 | − | 0.857999i | 0.0509489 | − | 0.0321098i | ||||
\(715\) | −21.6611 | + | 5.22926i | −0.810078 | + | 0.195563i | ||||
\(716\) | 14.2297 | + | 24.6465i | 0.531787 | + | 0.921082i | ||||
\(717\) | 17.1026 | − | 4.58262i | 0.638707 | − | 0.171141i | ||||
\(718\) | 2.67834 | − | 4.63902i | 0.0999548 | − | 0.173127i | ||||
\(719\) | −10.7088 | − | 18.5482i | −0.399371 | − | 0.691732i | 0.594277 | − | 0.804260i | \(-0.297438\pi\) |
−0.993648 | + | 0.112529i | \(0.964105\pi\) | |||||||
\(720\) | 0.367348 | + | 0.367348i | 0.0136903 | + | 0.0136903i | ||||
\(721\) | −8.65980 | − | 8.01328i | −0.322508 | − | 0.298430i | ||||
\(722\) | 5.83051 | + | 5.83051i | 0.216989 | + | 0.216989i | ||||
\(723\) | 0.844729 | − | 3.15257i | 0.0314158 | − | 0.117245i | ||||
\(724\) | −14.1832 | − | 8.18868i | −0.527115 | − | 0.304330i | ||||
\(725\) | −2.59606 | − | 1.49884i | −0.0964152 | − | 0.0556654i | ||||
\(726\) | −0.951303 | − | 0.254901i | −0.0353062 | − | 0.00946026i | ||||
\(727\) | −39.0080 | −1.44673 | −0.723363 | − | 0.690468i | \(-0.757405\pi\) | ||||
−0.723363 | + | 0.690468i | \(0.757405\pi\) | |||||||
\(728\) | −5.86300 | + | 23.1582i | −0.217297 | + | 0.858299i | ||||
\(729\) | −28.7407 | −1.06447 | ||||||||
\(730\) | −0.351632 | − | 0.0942194i | −0.0130145 | − | 0.00348722i | ||||
\(731\) | −5.53489 | − | 3.19557i | −0.204715 | − | 0.118192i | ||||
\(732\) | 13.6182 | + | 7.86249i | 0.503344 | + | 0.290606i | ||||
\(733\) | 0.430322 | − | 1.60598i | 0.0158943 | − | 0.0593183i | −0.957523 | − | 0.288356i | \(-0.906891\pi\) |
0.973418 | + | 0.229038i | \(0.0735580\pi\) | |||||||
\(734\) | −17.8448 | − | 17.8448i | −0.658663 | − | 0.658663i | ||||
\(735\) | −4.13587 | + | 22.1880i | −0.152554 | + | 0.818416i | ||||
\(736\) | −11.9174 | − | 11.9174i | −0.439283 | − | 0.439283i | ||||
\(737\) | 10.8374 | + | 18.7709i | 0.399200 | + | 0.691435i | ||||
\(738\) | 0.624541 | − | 1.08174i | 0.0229897 | − | 0.0398193i | ||||
\(739\) | −34.9673 | + | 9.36946i | −1.28629 | + | 0.344661i | −0.836251 | − | 0.548346i | \(-0.815258\pi\) |
−0.450042 | + | 0.893008i | \(0.648591\pi\) | |||||||
\(740\) | 13.9825 | + | 24.2184i | 0.514007 | + | 0.890287i | ||||
\(741\) | 14.0523 | + | 8.58688i | 0.516223 | + | 0.315447i | ||||
\(742\) | −6.07254 | + | 11.5276i | −0.222930 | + | 0.423193i | ||||
\(743\) | −2.82866 | + | 2.82866i | −0.103773 | + | 0.103773i | −0.757087 | − | 0.653314i | \(-0.773378\pi\) |
0.653314 | + | 0.757087i | \(0.273378\pi\) | |||||||
\(744\) | −6.66339 | − | 11.5413i | −0.244292 | − | 0.423125i | ||||
\(745\) | 5.74828 | − | 9.95631i | 0.210601 | − | 0.364771i | ||||
\(746\) | 2.91292 | + | 10.8712i | 0.106650 | + | 0.398022i | ||||
\(747\) | −0.493571 | + | 1.84203i | −0.0180588 | + | 0.0673964i | ||||
\(748\) | 1.70050 | − | 1.70050i | 0.0621764 | − | 0.0621764i | ||||
\(749\) | −37.4995 | − | 34.6999i | −1.37020 | − | 1.26791i | ||||
\(750\) | −14.4812 | −0.528780 | ||||||||
\(751\) | 11.5377 | − | 6.66132i | 0.421018 | − | 0.243075i | −0.274495 | − | 0.961589i | \(-0.588511\pi\) |
0.695513 | + | 0.718514i | \(0.255177\pi\) | |||||||
\(752\) | 3.36747 | + | 12.5676i | 0.122799 | + | 0.458293i | ||||
\(753\) | 2.36604 | + | 1.36604i | 0.0862234 | + | 0.0497811i | ||||
\(754\) | −0.155291 | + | 6.23058i | −0.00565535 | + | 0.226904i | ||||
\(755\) | − | 12.5293i | − | 0.455989i | ||||||
\(756\) | −4.66596 | + | 20.5715i | −0.169699 | + | 0.748178i | ||||
\(757\) | 16.0291 | 0.582587 | 0.291294 | − | 0.956634i | \(-0.405914\pi\) | ||||
0.291294 | + | 0.956634i | \(0.405914\pi\) | |||||||
\(758\) | −15.4518 | + | 8.92110i | −0.561235 | + | 0.324029i | ||||
\(759\) | 14.7838 | − | 3.96131i | 0.536618 | − | 0.143786i | ||||
\(760\) | 3.44594 | + | 12.8604i | 0.124997 | + | 0.466496i | ||||
\(761\) | −6.69953 | − | 1.79513i | −0.242858 | − | 0.0650735i | 0.135337 | − | 0.990800i | \(-0.456788\pi\) |
−0.378195 | + | 0.925726i | \(0.623455\pi\) | |||||||
\(762\) | −12.4771 | + | 12.4771i | −0.451999 | + | 0.451999i | ||||
\(763\) | −15.3534 | − | 24.3613i | −0.555829 | − | 0.881939i | ||||
\(764\) | 16.8517i | 0.609675i | ||||||||
\(765\) | 0.0586298 | − | 0.218809i | 0.00211976 | − | 0.00791107i | ||||
\(766\) | 0.354291 | − | 0.613650i | 0.0128011 | − | 0.0221721i | ||||
\(767\) | 12.2773 | − | 6.68609i | 0.443308 | − | 0.241421i | ||||
\(768\) | 16.1192 | − | 9.30643i | 0.581652 | − | 0.335817i | ||||
\(769\) | −12.5271 | − | 12.5271i | −0.451740 | − | 0.451740i | 0.444192 | − | 0.895932i | \(-0.353491\pi\) |
−0.895932 | + | 0.444192i | \(0.853491\pi\) | |||||||
\(770\) | −0.455516 | − | 11.7474i | −0.0164157 | − | 0.423347i | ||||
\(771\) | − | 36.3213i | − | 1.30808i | ||||||
\(772\) | −17.8692 | − | 4.78805i | −0.643128 | − | 0.172326i | ||||
\(773\) | −47.2874 | + | 12.6706i | −1.70081 | + | 0.455730i | −0.973143 | − | 0.230202i | \(-0.926061\pi\) |
−0.727665 | + | 0.685932i | \(0.759395\pi\) | |||||||
\(774\) | −2.00873 | + | 0.538236i | −0.0722022 | + | 0.0193465i | ||||
\(775\) | 3.85089 | + | 1.03184i | 0.138328 | + | 0.0370648i | ||||
\(776\) | − | 24.9575i | − | 0.895923i | ||||||
\(777\) | −19.9749 | + | 37.9189i | −0.716597 | + | 1.36033i | ||||
\(778\) | −2.57073 | − | 2.57073i | −0.0921650 | − | 0.0921650i | ||||
\(779\) | −17.9491 | + | 10.3629i | −0.643093 | + | 0.371290i | ||||
\(780\) | −8.24601 | − | 15.1417i | −0.295255 | − | 0.542160i | ||||
\(781\) | 4.29704 | − | 7.44269i | 0.153760 | − | 0.266320i | ||||
\(782\) | −0.272660 | + | 1.01758i | −0.00975029 | + | 0.0363886i | ||||
\(783\) | 12.9249i | 0.461897i | ||||||||
\(784\) | 7.36141 | + | 3.52050i | 0.262907 | + | 0.125732i | ||||
\(785\) | −8.77855 | + | 8.77855i | −0.313320 | + | 0.313320i | ||||
\(786\) | 23.3650 | + | 6.26064i | 0.833402 | + | 0.223310i | ||||
\(787\) | −3.75252 | − | 14.0046i | −0.133763 | − | 0.499210i | 0.866237 | − | 0.499633i | \(-0.166532\pi\) |
−1.00000 | 0.000423598i | \(0.999865\pi\) | ||||||||
\(788\) | 28.2298 | − | 7.56416i | 1.00565 | − | 0.269462i | ||||
\(789\) | −24.0224 | + | 13.8693i | −0.855220 | + | 0.493762i | ||||
\(790\) | 7.75493 | 0.275908 | ||||||||
\(791\) | 28.2462 | − | 8.75477i | 1.00432 | − | 0.311284i | ||||
\(792\) | − | 1.83776i | − | 0.0653019i | ||||||
\(793\) | 15.8324 | + | 16.6418i | 0.562227 | + | 0.590969i | ||||
\(794\) | −0.724851 | − | 0.418493i | −0.0257240 | − | 0.0148518i | ||||
\(795\) | −5.71602 | − | 21.3325i | −0.202726 | − | 0.756585i | ||||
\(796\) | 1.06281 | − | 0.613614i | 0.0376703 | − | 0.0217490i | ||||
\(797\) | 25.6379 | 0.908139 | 0.454070 | − | 0.890966i | \(-0.349972\pi\) | ||||
0.454070 | + | 0.890966i | \(0.349972\pi\) | |||||||
\(798\) | −5.90088 | + | 6.37696i | −0.208889 | + | 0.225742i | ||||
\(799\) | 4.01164 | − | 4.01164i | 0.141922 | − | 0.141922i | ||||
\(800\) | −1.88669 | + | 7.04121i | −0.0667044 | + | 0.248944i | ||||
\(801\) | 0.729549 | + | 2.72272i | 0.0257774 | + | 0.0962024i | ||||
\(802\) | 0.551367 | − | 0.954996i | 0.0194694 | − | 0.0337221i | ||||
\(803\) | −0.416882 | − | 0.722060i | −0.0147114 | − | 0.0254810i | ||||
\(804\) | −11.8586 | + | 11.8586i | −0.418220 | + | 0.418220i | ||||
\(805\) | −7.87808 | − | 12.5002i | −0.277666 | − | 0.440575i | ||||
\(806\) | −1.94516 | − | 8.05742i | −0.0685155 | − | 0.283810i | ||||
\(807\) | 14.0836 | + | 24.3935i | 0.495766 | + | 0.858692i | ||||
\(808\) | −11.4160 | + | 3.05890i | −0.401612 | + | 0.107612i | ||||
\(809\) | 19.7540 | − | 34.2150i | 0.694515 | − | 1.20293i | −0.275829 | − | 0.961207i | \(-0.588952\pi\) |
0.970344 | − | 0.241728i | \(-0.0777142\pi\) | |||||||
\(810\) | 5.75043 | + | 9.96004i | 0.202049 | + | 0.349960i | ||||
\(811\) | −17.7080 | − | 17.7080i | −0.621813 | − | 0.621813i | 0.324182 | − | 0.945995i | \(-0.394911\pi\) |
−0.945995 | + | 0.324182i | \(0.894911\pi\) | |||||||
\(812\) | 9.20031 | + | 2.08678i | 0.322868 | + | 0.0732317i | ||||
\(813\) | −16.3523 | − | 16.3523i | −0.573498 | − | 0.573498i | ||||
\(814\) | 5.77784 | − | 21.5632i | 0.202513 | − | 0.755789i | ||||
\(815\) | 1.14811 | + | 0.662864i | 0.0402167 | + | 0.0232191i | ||||
\(816\) | 0.854027 | + | 0.493073i | 0.0298969 | + | 0.0172610i | ||||
\(817\) | 33.3305 | + | 8.93089i | 1.16609 | + | 0.312452i | ||||
\(818\) | 7.67576 | 0.268377 | ||||||||
\(819\) | −1.07082 | + | 1.91545i | −0.0374176 | + | 0.0669313i | ||||
\(820\) | 21.6990 | 0.757763 | ||||||||
\(821\) | −18.9387 | − | 5.07462i | −0.660966 | − | 0.177105i | −0.0872842 | − | 0.996183i | \(-0.527819\pi\) |
−0.573682 | + | 0.819078i | \(0.694486\pi\) | |||||||
\(822\) | 8.78066 | + | 5.06952i | 0.306261 | + | 0.176820i | ||||
\(823\) | 17.8932 | + | 10.3306i | 0.623717 | + | 0.360103i | 0.778315 | − | 0.627874i | \(-0.216075\pi\) |
−0.154598 | + | 0.987978i | \(0.549408\pi\) | |||||||
\(824\) | −2.89034 | + | 10.7869i | −0.100690 | + | 0.375779i | ||||
\(825\) | −4.68094 | − | 4.68094i | −0.162969 | − | 0.162969i | ||||
\(826\) | 2.18352 | + | 7.04485i | 0.0759743 | + | 0.245122i | ||||
\(827\) | −18.0688 | − | 18.0688i | −0.628315 | − | 0.628315i | 0.319329 | − | 0.947644i | \(-0.396543\pi\) |
−0.947644 | + | 0.319329i | \(0.896543\pi\) | |||||||
\(828\) | −0.491743 | − | 0.851724i | −0.0170893 | − | 0.0295994i | ||||
\(829\) | 20.2612 | − | 35.0934i | 0.703700 | − | 1.21884i | −0.263459 | − | 0.964671i | \(-0.584863\pi\) |
0.967159 | − | 0.254173i | \(-0.0818033\pi\) | |||||||
\(830\) | 11.1533 | − | 2.98851i | 0.387135 | − | 0.103733i | ||||
\(831\) | 16.3433 | + | 28.3074i | 0.566942 | + | 0.981973i | ||||
\(832\) | 6.56144 | − | 1.58402i | 0.227477 | − | 0.0549159i | ||||
\(833\) | −0.275521 | − | 3.54739i | −0.00954623 | − | 0.122910i | ||||
\(834\) | −2.05538 | + | 2.05538i | −0.0711721 | + | 0.0711721i | ||||
\(835\) | 3.39054 | + | 5.87259i | 0.117335 | + | 0.203229i | ||||
\(836\) | −6.49204 | + | 11.2446i | −0.224532 | + | 0.388901i | ||||
\(837\) | −4.44892 | − | 16.6036i | −0.153777 | − | 0.573905i | ||||
\(838\) | 2.20791 | − | 8.24004i | 0.0762710 | − | 0.284647i | ||||
\(839\) | 2.12585 | − | 2.12585i | 0.0733926 | − | 0.0733926i | −0.669458 | − | 0.742850i | \(-0.733473\pi\) |
0.742850 | + | 0.669458i | \(0.233473\pi\) | |||||||
\(840\) | 20.4052 | − | 6.32451i | 0.704047 | − | 0.218216i | ||||
\(841\) | −23.2195 | −0.800674 | ||||||||
\(842\) | 2.77582 | − | 1.60262i | 0.0956611 | − | 0.0552299i | ||||
\(843\) | −10.4781 | − | 39.1048i | −0.360885 | − | 1.34684i | ||||
\(844\) | −24.2162 | − | 13.9813i | −0.833557 | − | 0.481255i | ||||
\(845\) | −5.29839 | − | 24.6214i | −0.182270 | − | 0.847003i | ||||
\(846\) | − | 1.84602i | − | 0.0634674i | ||||||
\(847\) | −1.47897 | + | 1.59830i | −0.0508182 | + | 0.0549182i | ||||
\(848\) | −7.98452 | −0.274189 | ||||||||
\(849\) | −17.0005 | + | 9.81525i | −0.583456 | + | 0.336858i | ||||
\(850\) | 0.440123 | − | 0.117931i | 0.0150961 | − | 0.00404498i | ||||
\(851\) | −7.26178 | − | 27.1014i | −0.248931 | − | 0.929022i | ||||
\(852\) | 6.42298 | + | 1.72103i | 0.220048 | + | 0.0589616i | ||||
\(853\) | 38.1991 | − | 38.1991i | 1.30791 | − | 1.30791i | 0.384992 | − | 0.922920i | \(-0.374204\pi\) |
0.922920 | − | 0.384992i | \(-0.125796\pi\) | |||||||
\(854\) | −10.2522 | + | 6.46132i | −0.350824 | + | 0.221102i | ||||
\(855\) | 1.22304i | 0.0418273i | ||||||||
\(856\) | −12.5160 | + | 46.7104i | −0.427789 | + | 1.59653i | ||||
\(857\) | −10.7700 | + | 18.6543i | −0.367898 | + | 0.637218i | −0.989237 | − | 0.146324i | \(-0.953256\pi\) |
0.621339 | + | 0.783542i | \(0.286589\pi\) | |||||||
\(858\) | −3.89239 | + | 13.2016i | −0.132884 | + | 0.450695i | ||||
\(859\) | 0.937124 | − | 0.541049i | 0.0319743 | − | 0.0184603i | −0.483928 | − | 0.875108i | \(-0.660790\pi\) |
0.515902 | + | 0.856648i | \(0.327457\pi\) | |||||||
\(860\) | −25.5453 | − | 25.5453i | −0.871089 | − | 0.871089i | ||||
\(861\) | 17.7311 | + | 28.1340i | 0.604273 | + | 0.958805i | ||||
\(862\) | 0.878348i | 0.0299167i | ||||||||
\(863\) | 3.13385 | + | 0.839713i | 0.106678 | + | 0.0285842i | 0.311763 | − | 0.950160i | \(-0.399081\pi\) |
−0.205085 | + | 0.978744i | \(0.565747\pi\) | |||||||
\(864\) | 30.3591 | − | 8.13470i | 1.03284 | − | 0.276748i | ||||
\(865\) | −46.3557 | + | 12.4210i | −1.57614 | + | 0.422326i | ||||
\(866\) | −12.5939 | − | 3.37454i | −0.427960 | − | 0.114671i | ||||
\(867\) | 27.8634i | 0.946292i | ||||||||
\(868\) | −12.5373 | + | 0.486143i | −0.425542 | + | 0.0165008i | ||||
\(869\) | 12.5592 | + | 12.5592i | 0.426041 | + | 0.426041i | ||||
\(870\) | 4.82679 | − | 2.78675i | 0.163644 | − | 0.0944797i | ||||
\(871\) | −21.5139 | + | 11.7162i | −0.728969 | + | 0.396989i | ||||
\(872\) | −13.6278 | + | 23.6040i | −0.461495 | + | 0.799332i | ||||
\(873\) | 0.593375 | − | 2.21450i | 0.0200827 | − | 0.0749496i | ||||
\(874\) | − | 5.68781i | − | 0.192393i | ||||||
\(875\) | −14.9231 | + | 28.3288i | −0.504491 | + | 0.957687i | ||||
\(876\) | 0.456164 | − | 0.456164i | 0.0154124 | − | 0.0154124i | ||||
\(877\) | −20.5585 | − | 5.50863i | −0.694211 | − | 0.186013i | −0.105575 | − | 0.994411i | \(-0.533668\pi\) |
−0.588636 | + | 0.808398i | \(0.700335\pi\) | |||||||
\(878\) | 5.81520 | + | 21.7026i | 0.196254 | + | 0.732428i | ||||
\(879\) | −42.1727 | + | 11.3001i | −1.42245 | + | 0.381144i | ||||
\(880\) | 6.23917 | − | 3.60219i | 0.210322 | − | 0.121430i | ||||
\(881\) | 34.2796 | 1.15491 | 0.577455 | − | 0.816423i | \(-0.304046\pi\) | ||||
0.577455 | + | 0.816423i | \(0.304046\pi\) | |||||||
\(882\) | −0.879585 | − | 0.752800i | −0.0296172 | − | 0.0253481i | ||||
\(883\) | 8.76503i | 0.294967i | 0.989065 | + | 0.147483i | \(0.0471173\pi\) | ||||
−0.989065 | + | 0.147483i | \(0.952883\pi\) | |||||||
\(884\) | 1.87345 | + | 1.96923i | 0.0630110 | + | 0.0662323i | ||||
\(885\) | −10.8267 | − | 6.25082i | −0.363937 | − | 0.210119i | ||||
\(886\) | 4.60991 | + | 17.2044i | 0.154873 | + | 0.577994i | ||||
\(887\) | −7.22277 | + | 4.17007i | −0.242517 | + | 0.140017i | −0.616333 | − | 0.787486i | \(-0.711382\pi\) |
0.373816 | + | 0.927503i | \(0.378049\pi\) | |||||||
\(888\) | 40.5659 | 1.36130 | ||||||||
\(889\) | 11.5504 | + | 37.2661i | 0.387390 | + | 1.24986i | ||||
\(890\) | 12.0684 | − | 12.0684i | 0.404532 | − | 0.404532i | ||||
\(891\) | −6.81750 | + | 25.4433i | −0.228395 | + | 0.852381i | ||||
\(892\) | −5.33723 | − | 19.9188i | −0.178704 | − | 0.666932i | ||||
\(893\) | −15.3154 | + | 26.5270i | −0.512509 | + | 0.887692i | ||||
\(894\) | −3.55046 | − | 6.14958i | −0.118745 | − | 0.205673i | ||||
\(895\) | 26.2872 | − | 26.2872i | 0.878683 | − | 0.878683i | ||||
\(896\) | −1.06073 | − | 27.3554i | −0.0354365 | − | 0.913881i | ||||
\(897\) | 4.05944 | + | 16.8153i | 0.135541 | + | 0.561447i | ||||
\(898\) | 3.59715 | + | 6.23045i | 0.120038 | + | 0.207913i | ||||
\(899\) | −7.42573 | + | 1.98972i | −0.247662 | + | 0.0663608i | ||||
\(900\) | −0.212688 | + | 0.368387i | −0.00708961 | + | 0.0122796i | ||||
\(901\) | 1.74080 | + | 3.01515i | 0.0579943 | + | 0.100449i | ||||
\(902\) | −12.2484 | − | 12.2484i | −0.407827 | − | 0.407827i | ||||
\(903\) | 12.2470 | − | 53.9950i | 0.407553 | − | 1.79684i | ||||
\(904\) | −19.7919 | − | 19.7919i | −0.658269 | − | 0.658269i | ||||
\(905\) | −5.53700 | + | 20.6644i | −0.184056 | + | 0.686906i | ||||
\(906\) | −6.70202 | − | 3.86942i | −0.222660 | − | 0.128553i | ||||
\(907\) | 3.67167 | + | 2.11984i | 0.121916 | + | 0.0703882i | 0.559718 | − | 0.828683i | \(-0.310910\pi\) |
−0.437802 | + | 0.899071i | \(0.644243\pi\) | |||||||
\(908\) | −22.4280 | − | 6.00955i | −0.744298 | − | 0.199434i | ||||
\(909\) | −1.08567 | −0.0360096 | ||||||||
\(910\) | 13.2858 | − | 0.183857i | 0.440422 | − | 0.00609481i | ||||
\(911\) | −1.59871 | −0.0529676 | −0.0264838 | − | 0.999649i | \(-0.508431\pi\) | ||||
−0.0264838 | + | 0.999649i | \(0.508431\pi\) | |||||||
\(912\) | −5.14287 | − | 1.37803i | −0.170297 | − | 0.0456310i | ||||
\(913\) | 22.9027 | + | 13.2229i | 0.757970 | + | 0.437614i | ||||
\(914\) | 13.0474 | + | 7.53291i | 0.431569 | + | 0.249166i | ||||
\(915\) | 5.31643 | − | 19.8412i | 0.175756 | − | 0.655930i | ||||
\(916\) | 5.01982 | + | 5.01982i | 0.165860 | + | 0.165860i | ||||
\(917\) | 36.3252 | − | 39.2559i | 1.19956 | − | 1.29634i | ||||
\(918\) | −1.38917 | − | 1.38917i | −0.0458496 | − | 0.0458496i | ||||
\(919\) | 6.09990 | + | 10.5653i | 0.201217 | + | 0.348518i | 0.948921 | − | 0.315514i | \(-0.102177\pi\) |
−0.747704 | + | 0.664032i | \(0.768844\pi\) | |||||||
\(920\) | −6.99264 | + | 12.1116i | −0.230541 | + | 0.399308i | ||||
\(921\) | −2.93761 | + | 0.787131i | −0.0967976 | + | 0.0259368i | ||||
\(922\) | 4.10754 | + | 7.11447i | 0.135275 | + | 0.234303i | ||||
\(923\) | 8.28826 | + | 5.06469i | 0.272811 | + | 0.166706i | ||||
\(924\) | 18.4323 | + | 9.70979i | 0.606378 | + | 0.319429i | ||||
\(925\) | −8.58099 | + | 8.58099i | −0.282141 | + | 0.282141i | ||||
\(926\) | −0.212012 | − | 0.367215i | −0.00696714 | − | 0.0120674i | ||||
\(927\) | −0.512925 | + | 0.888411i | −0.0168467 | + | 0.0291793i | ||||
\(928\) | −3.63813 | − | 13.5777i | −0.119427 | − | 0.445709i | ||||
\(929\) | −0.158183 | + | 0.590349i | −0.00518983 | + | 0.0193687i | −0.968472 | − | 0.249122i | \(-0.919858\pi\) |
0.963282 | + | 0.268490i | \(0.0865248\pi\) | |||||||
\(930\) | −5.24138 | + | 5.24138i | −0.171872 | + | 0.171872i | ||||
\(931\) | 6.39395 | + | 18.1150i | 0.209553 | + | 0.593697i | ||||
\(932\) | −4.70149 | −0.154002 | ||||||||
\(933\) | 3.91496 | − | 2.26030i | 0.128170 | − | 0.0739989i | ||||
\(934\) | −1.04392 | − | 3.89597i | −0.0341582 | − | 0.127480i | ||||
\(935\) | −2.72055 | − | 1.57071i | −0.0889714 | − | 0.0513677i | ||||
\(936\) | 2.07643 | + | 0.0517527i | 0.0678701 | + | 0.00169159i | ||||
\(937\) | 5.03265i | 0.164410i | 0.996615 | + | 0.0822048i | \(0.0261961\pi\) | ||||
−0.996615 | + | 0.0822048i | \(0.973804\pi\) | |||||||
\(938\) | −3.82624 | − | 12.3449i | −0.124931 | − | 0.403075i | ||||
\(939\) | −42.3072 | −1.38064 | ||||||||
\(940\) | 27.7726 | − | 16.0345i | 0.905842 | − | 0.522988i | ||||
\(941\) | 46.5400 | − | 12.4703i | 1.51716 | − | 0.406522i | 0.598354 | − | 0.801232i | \(-0.295822\pi\) |
0.918805 | + | 0.394711i | \(0.129155\pi\) | |||||||
\(942\) | 1.98464 | + | 7.40677i | 0.0646630 | + | 0.241326i | ||||
\(943\) | −21.0289 | − | 5.63467i | −0.684794 | − | 0.183490i | ||||
\(944\) | −3.19597 | + | 3.19597i | −0.104020 | + | 0.104020i | ||||
\(945\) | 27.5339 | − | 1.06765i | 0.895677 | − | 0.0347307i | ||||
\(946\) | 28.8390i | 0.937637i | ||||||||
\(947\) | 3.00627 | − | 11.2196i | 0.0976907 | − | 0.364586i | −0.899723 | − | 0.436461i | \(-0.856232\pi\) |
0.997414 | + | 0.0718749i | \(0.0228982\pi\) | |||||||
\(948\) | −6.87132 | + | 11.9015i | −0.223170 | + | 0.386542i | ||||
\(949\) | 0.827573 | − | 0.450688i | 0.0268642 | − | 0.0146299i | ||||
\(950\) | −2.13050 | + | 1.23004i | −0.0691224 | + | 0.0399079i | ||||
\(951\) | −35.7798 | − | 35.7798i | −1.16024 | − | 1.16024i | ||||
\(952\) | −2.84912 | + | 1.79562i | −0.0923406 | + | 0.0581963i | ||||
\(953\) | 12.7370i | 0.412592i | 0.978490 | + | 0.206296i | \(0.0661409\pi\) | ||||
−0.978490 | + | 0.206296i | \(0.933859\pi\) | |||||||
\(954\) | 1.09426 | + | 0.293206i | 0.0354280 | + | 0.00949290i | ||||
\(955\) | 21.2629 | − | 5.69738i | 0.688052 | − | 0.184363i | ||||
\(956\) | −15.2402 | + | 4.08359i | −0.492903 | + | 0.132073i | ||||
\(957\) | 12.3302 | + | 3.30387i | 0.398579 | + | 0.106799i | ||||
\(958\) | − | 10.2908i | − | 0.332479i | ||||||
\(959\) | 18.9657 | − | 11.9529i | 0.612436 | − | 0.385979i | ||||
\(960\) | −4.26825 | − | 4.26825i | −0.137757 | − | 0.137757i | ||||
\(961\) | −17.9924 | + | 10.3879i | −0.580400 | + | 0.335094i | ||||
\(962\) | 24.2009 | + | 7.13543i | 0.780267 | + | 0.230056i | ||||
\(963\) | −2.22112 | + | 3.84708i | −0.0715744 | + | 0.123971i | ||||
\(964\) | −0.752742 | + | 2.80927i | −0.0242442 | + | 0.0904805i | ||||
\(965\) | 24.1656i | 0.777917i | ||||||||
\(966\) | −9.11942 | + | 0.353614i | −0.293412 | + | 0.0113773i | ||||
\(967\) | 1.70551 | − | 1.70551i | 0.0548455 | − | 0.0548455i | −0.679152 | − | 0.733998i | \(-0.737652\pi\) |
0.733998 | + | 0.679152i | \(0.237652\pi\) | |||||||
\(968\) | 1.99088 | + | 0.533456i | 0.0639895 | + | 0.0171459i | ||||
\(969\) | 0.600879 | + | 2.24251i | 0.0193030 | + | 0.0720398i | ||||
\(970\) | −13.4085 | + | 3.59281i | −0.430522 | + | 0.115358i | ||||
\(971\) | 21.9961 | − | 12.6994i | 0.705887 | − | 0.407544i | −0.103649 | − | 0.994614i | \(-0.533052\pi\) |
0.809536 | + | 0.587070i | \(0.199719\pi\) | |||||||
\(972\) | 3.53752 | 0.113466 | ||||||||
\(973\) | 1.90273 | + | 6.13892i | 0.0609987 | + | 0.196805i | ||||
\(974\) | − | 11.3385i | − | 0.363309i | ||||||
\(975\) | 5.42067 | − | 5.15703i | 0.173600 | − | 0.165157i | ||||
\(976\) | −6.43141 | − | 3.71317i | −0.205864 | − | 0.118856i | ||||
\(977\) | 5.56490 | + | 20.7685i | 0.178037 | + | 0.664443i | 0.996014 | + | 0.0891927i | \(0.0284287\pi\) |
−0.817977 | + | 0.575250i | \(0.804905\pi\) | |||||||
\(978\) | 0.709140 | − | 0.409422i | 0.0226758 | − | 0.0130919i | ||||
\(979\) | 39.0897 | 1.24931 | ||||||||
\(980\) | 3.68549 | − | 19.7718i | 0.117729 | − | 0.631588i | ||||
\(981\) | −1.77040 | + | 1.77040i | −0.0565245 | + | 0.0565245i | ||||
\(982\) | 4.66129 | − | 17.3962i | 0.148748 | − | 0.555134i | ||||
\(983\) | 9.29397 | + | 34.6856i | 0.296431 | + | 1.10630i | 0.940074 | + | 0.340971i | \(0.110756\pi\) |
−0.643642 | + | 0.765326i | \(0.722578\pi\) | |||||||
\(984\) | 15.7382 | − | 27.2594i | 0.501716 | − | 0.868998i | ||||
\(985\) | −19.0884 | − | 33.0620i | −0.608206 | − | 1.05344i | ||||
\(986\) | −0.621289 | + | 0.621289i | −0.0197859 | + | 0.0197859i | ||||
\(987\) | 43.4836 | + | 22.9064i | 1.38410 | + | 0.729118i | ||||
\(988\) | −12.5220 | − | 7.65181i | −0.398379 | − | 0.243437i | ||||
\(989\) | 18.1229 | + | 31.3898i | 0.576276 | + | 0.998139i | ||||
\(990\) | −0.987343 | + | 0.264558i | −0.0313798 | + | 0.00840820i | ||||
\(991\) | −21.3172 | + | 36.9225i | −0.677164 | + | 1.17288i | 0.298668 | + | 0.954357i | \(0.403458\pi\) |
−0.975831 | + | 0.218525i | \(0.929876\pi\) | |||||||
\(992\) | 9.34727 | + | 16.1899i | 0.296776 | + | 0.514031i | ||||
\(993\) | −2.22788 | − | 2.22788i | −0.0706996 | − | 0.0706996i | ||||
\(994\) | −3.48043 | + | 3.76124i | −0.110393 | + | 0.119299i | ||||
\(995\) | −1.13356 | − | 1.13356i | −0.0359363 | − | 0.0359363i | ||||
\(996\) | −5.29598 | + | 19.7649i | −0.167810 | + | 0.626274i | ||||
\(997\) | 49.9716 | + | 28.8511i | 1.58262 | + | 0.913724i | 0.994476 | + | 0.104966i | \(0.0334732\pi\) |
0.588141 | + | 0.808759i | \(0.299860\pi\) | |||||||
\(998\) | −14.5964 | − | 8.42721i | −0.462039 | − | 0.266759i | ||||
\(999\) | 50.5404 | + | 13.5422i | 1.59903 | + | 0.428458i |
(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.31.5 | yes | 32 | |
3.2 | odd | 2 | 819.2.fn.e.577.4 | 32 | |||
7.2 | even | 3 | 637.2.bc.b.460.4 | 32 | |||
7.3 | odd | 6 | 637.2.i.a.538.8 | 32 | |||
7.4 | even | 3 | 637.2.i.a.538.7 | 32 | |||
7.5 | odd | 6 | inner | 91.2.bb.a.5.4 | ✓ | 32 | |
7.6 | odd | 2 | 637.2.bc.b.31.5 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.73.4 | yes | 32 | |
21.5 | even | 6 | 819.2.fn.e.460.5 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.73.5 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.619.4 | 32 | |||
91.47 | even | 12 | inner | 91.2.bb.a.47.5 | yes | 32 | |
91.60 | odd | 12 | 637.2.i.a.489.7 | 32 | |||
91.73 | even | 12 | 637.2.i.a.489.8 | 32 | |||
91.86 | odd | 12 | 637.2.bc.b.411.5 | 32 | |||
273.47 | odd | 12 | 819.2.fn.e.775.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.4 | ✓ | 32 | 7.5 | odd | 6 | inner | |
91.2.bb.a.31.5 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.47.5 | yes | 32 | 91.47 | even | 12 | inner | |
91.2.bb.a.73.4 | yes | 32 | 13.8 | odd | 4 | inner | |
637.2.i.a.489.7 | 32 | 91.60 | odd | 12 | |||
637.2.i.a.489.8 | 32 | 91.73 | even | 12 | |||
637.2.i.a.538.7 | 32 | 7.4 | even | 3 | |||
637.2.i.a.538.8 | 32 | 7.3 | odd | 6 | |||
637.2.bc.b.31.5 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.411.5 | 32 | 91.86 | odd | 12 | |||
637.2.bc.b.460.4 | 32 | 7.2 | even | 3 | |||
637.2.bc.b.619.4 | 32 | 91.34 | even | 4 | |||
819.2.fn.e.73.5 | 32 | 39.8 | even | 4 | |||
819.2.fn.e.460.5 | 32 | 21.5 | even | 6 | |||
819.2.fn.e.577.4 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.775.4 | 32 | 273.47 | odd | 12 |