Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [78,2,Mod(11,78)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(78, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("78.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 78 = 2 \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 78.k (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: | \(0.622833135766\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 16.0.9349208943630483456.9 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(0.500000 + 1.33108i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 78.11 |
Dual form | 78.2.k.a.71.2 |
$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(67\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | 1.73022 | − | 0.0795432i | 0.998945 | − | 0.0459243i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −0.313444 | + | 0.313444i | −0.140176 | + | 0.140176i | −0.773713 | − | 0.633536i | \(-0.781603\pi\) |
0.633536 | + | 0.773713i | \(0.281603\pi\) | |||||||
\(6\) | −1.69185 | − | 0.370982i | −0.690697 | − | 0.151453i | ||||
\(7\) | −0.0745867 | − | 0.278362i | −0.0281911 | − | 0.105211i | 0.950397 | − | 0.311040i | \(-0.100677\pi\) |
−0.978588 | + | 0.205830i | \(0.934011\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 2.98735 | − | 0.275255i | 0.995782 | − | 0.0917517i | ||||
\(10\) | 0.383889 | − | 0.221638i | 0.121396 | − | 0.0700882i | ||||
\(11\) | −0.150860 | + | 0.563016i | −0.0454859 | + | 0.169756i | −0.984932 | − | 0.172940i | \(-0.944673\pi\) |
0.939446 | + | 0.342696i | \(0.111340\pi\) | |||||||
\(12\) | 1.53819 | + | 0.796225i | 0.444037 | + | 0.229850i | ||||
\(13\) | −1.79144 | − | 3.12902i | −0.496856 | − | 0.867833i | ||||
\(14\) | 0.288181i | 0.0770196i | ||||||||
\(15\) | −0.517396 | + | 0.567261i | −0.133591 | + | 0.146466i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −2.79907 | + | 4.84812i | −0.678873 | + | 1.17584i | 0.296448 | + | 0.955049i | \(0.404198\pi\) |
−0.975321 | + | 0.220793i | \(0.929135\pi\) | |||||||
\(18\) | −2.95680 | − | 0.507306i | −0.696923 | − | 0.119573i | ||||
\(19\) | −6.79127 | + | 1.81971i | −1.55802 | + | 0.417471i | −0.932037 | − | 0.362363i | \(-0.881970\pi\) |
−0.625986 | + | 0.779834i | \(0.715304\pi\) | |||||||
\(20\) | −0.428173 | + | 0.114729i | −0.0957423 | + | 0.0256541i | ||||
\(21\) | −0.151194 | − | 0.475695i | −0.0329931 | − | 0.103805i | ||||
\(22\) | 0.291439 | − | 0.504787i | 0.0621349 | − | 0.107621i | ||||
\(23\) | −3.32595 | − | 5.76071i | −0.693509 | − | 1.20119i | −0.970681 | − | 0.240372i | \(-0.922731\pi\) |
0.277172 | − | 0.960820i | \(-0.410603\pi\) | |||||||
\(24\) | −1.27970 | − | 1.16721i | −0.261217 | − | 0.238255i | ||||
\(25\) | 4.80351i | 0.960701i | ||||||||
\(26\) | 0.920548 | + | 3.48606i | 0.180534 | + | 0.683672i | ||||
\(27\) | 5.14688 | − | 0.713876i | 0.990518 | − | 0.137386i | ||||
\(28\) | 0.0745867 | − | 0.278362i | 0.0140956 | − | 0.0526054i | ||||
\(29\) | 3.57681 | − | 2.06507i | 0.664198 | − | 0.383475i | −0.129677 | − | 0.991556i | \(-0.541394\pi\) |
0.793874 | + | 0.608082i | \(0.208061\pi\) | |||||||
\(30\) | 0.646584 | − | 0.414020i | 0.118050 | − | 0.0755893i | ||||
\(31\) | −1.03573 | − | 1.03573i | −0.186022 | − | 0.186022i | 0.607952 | − | 0.793974i | \(-0.291991\pi\) |
−0.793974 | + | 0.607952i | \(0.791991\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | −0.216237 | + | 0.986144i | −0.0376420 | + | 0.171666i | ||||
\(34\) | 3.95848 | − | 3.95848i | 0.678873 | − | 0.678873i | ||||
\(35\) | 0.110630 | + | 0.0638720i | 0.0186998 | + | 0.0107963i | ||||
\(36\) | 2.72474 | + | 1.25529i | 0.454124 | + | 0.209216i | ||||
\(37\) | 6.72147 | + | 1.80101i | 1.10500 | + | 0.296085i | 0.764800 | − | 0.644268i | \(-0.222838\pi\) |
0.340202 | + | 0.940352i | \(0.389504\pi\) | |||||||
\(38\) | 7.03084 | 1.14055 | ||||||||
\(39\) | −3.34848 | − | 5.27140i | −0.536186 | − | 0.844100i | ||||
\(40\) | 0.443277 | 0.0700882 | ||||||||
\(41\) | 7.36988 | + | 1.97475i | 1.15098 | + | 0.308404i | 0.783358 | − | 0.621570i | \(-0.213505\pi\) |
0.367623 | + | 0.929975i | \(0.380172\pi\) | |||||||
\(42\) | 0.0229229 | + | 0.498618i | 0.00353707 | + | 0.0769384i | ||||
\(43\) | −3.26299 | − | 1.88389i | −0.497602 | − | 0.287290i | 0.230121 | − | 0.973162i | \(-0.426088\pi\) |
−0.727723 | + | 0.685872i | \(0.759421\pi\) | |||||||
\(44\) | −0.412157 | + | 0.412157i | −0.0621349 | + | 0.0621349i | ||||
\(45\) | −0.850089 | + | 1.02264i | −0.126724 | + | 0.152447i | ||||
\(46\) | 1.72164 | + | 6.42524i | 0.253842 | + | 0.947350i | ||||
\(47\) | −3.71799 | − | 3.71799i | −0.542325 | − | 0.542325i | 0.381885 | − | 0.924210i | \(-0.375275\pi\) |
−0.924210 | + | 0.381885i | \(0.875275\pi\) | |||||||
\(48\) | 0.933998 | + | 1.45865i | 0.134811 | + | 0.210537i | ||||
\(49\) | 5.99026 | − | 3.45848i | 0.855751 | − | 0.494068i | ||||
\(50\) | 1.24324 | − | 4.63983i | 0.175821 | − | 0.656171i | ||||
\(51\) | −4.45737 | + | 8.61098i | −0.624157 | + | 1.20578i | ||||
\(52\) | 0.0130771 | − | 3.60553i | 0.00181347 | − | 0.499997i | ||||
\(53\) | − | 3.64778i | − | 0.501062i | −0.968109 | − | 0.250531i | \(-0.919395\pi\) | ||
0.968109 | − | 0.250531i | \(-0.0806052\pi\) | |||||||
\(54\) | −5.15627 | − | 0.642559i | −0.701679 | − | 0.0874413i | ||||
\(55\) | −0.129188 | − | 0.223760i | −0.0174197 | − | 0.0301718i | ||||
\(56\) | −0.144091 | + | 0.249572i | −0.0192549 | + | 0.0333505i | ||||
\(57\) | −11.6057 | + | 3.68871i | −1.53721 | + | 0.488582i | ||||
\(58\) | −3.98942 | + | 1.06896i | −0.523836 | + | 0.140361i | ||||
\(59\) | 3.29111 | − | 0.881850i | 0.428466 | − | 0.114807i | −0.0381400 | − | 0.999272i | \(-0.512143\pi\) |
0.466606 | + | 0.884465i | \(0.345477\pi\) | |||||||
\(60\) | −0.731708 | + | 0.232564i | −0.0944632 | + | 0.0300239i | ||||
\(61\) | −5.25554 | + | 9.10286i | −0.672903 | + | 1.16550i | 0.304174 | + | 0.952616i | \(0.401620\pi\) |
−0.977077 | + | 0.212886i | \(0.931714\pi\) | |||||||
\(62\) | 0.732370 | + | 1.26850i | 0.0930111 | + | 0.161100i | ||||
\(63\) | −0.299437 | − | 0.811032i | −0.0377255 | − | 0.102180i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 1.54229 | + | 0.419256i | 0.191297 | + | 0.0520023i | ||||
\(66\) | 0.464102 | − | 0.896575i | 0.0571270 | − | 0.110361i | ||||
\(67\) | 2.29144 | − | 8.55177i | 0.279944 | − | 1.04476i | −0.672512 | − | 0.740087i | \(-0.734785\pi\) |
0.952455 | − | 0.304678i | \(-0.0985488\pi\) | |||||||
\(68\) | −4.84812 | + | 2.79907i | −0.587921 | + | 0.339437i | ||||
\(69\) | −6.21286 | − | 9.70277i | −0.747941 | − | 1.16808i | ||||
\(70\) | −0.0903287 | − | 0.0903287i | −0.0107963 | − | 0.0107963i | ||||
\(71\) | 3.98229 | + | 14.8621i | 0.472611 | + | 1.76381i | 0.630334 | + | 0.776324i | \(0.282918\pi\) |
−0.157723 | + | 0.987483i | \(0.550415\pi\) | |||||||
\(72\) | −2.30701 | − | 1.91774i | −0.271883 | − | 0.226008i | ||||
\(73\) | 3.52053 | − | 3.52053i | 0.412047 | − | 0.412047i | −0.470404 | − | 0.882451i | \(-0.655892\pi\) |
0.882451 | + | 0.470404i | \(0.155892\pi\) | |||||||
\(74\) | −6.02630 | − | 3.47929i | −0.700543 | − | 0.404459i | ||||
\(75\) | 0.382086 | + | 8.31114i | 0.0441195 | + | 0.959687i | ||||
\(76\) | −6.79127 | − | 1.81971i | −0.779012 | − | 0.208736i | ||||
\(77\) | 0.167974 | 0.0191424 | ||||||||
\(78\) | 1.87005 | + | 5.95843i | 0.211741 | + | 0.674660i | ||||
\(79\) | 1.10886 | 0.124757 | 0.0623783 | − | 0.998053i | \(-0.480131\pi\) | ||||
0.0623783 | + | 0.998053i | \(0.480131\pi\) | |||||||
\(80\) | −0.428173 | − | 0.114729i | −0.0478712 | − | 0.0128270i | ||||
\(81\) | 8.84847 | − | 1.64456i | 0.983163 | − | 0.182729i | ||||
\(82\) | −6.60765 | − | 3.81493i | −0.729693 | − | 0.421288i | ||||
\(83\) | 8.23032 | − | 8.23032i | 0.903395 | − | 0.903395i | −0.0923332 | − | 0.995728i | \(-0.529433\pi\) |
0.995728 | + | 0.0923332i | \(0.0294325\pi\) | |||||||
\(84\) | 0.106910 | − | 0.487560i | 0.0116648 | − | 0.0531972i | ||||
\(85\) | −0.642265 | − | 2.39697i | −0.0696634 | − | 0.259987i | ||||
\(86\) | 2.66422 | + | 2.66422i | 0.287290 | + | 0.287290i | ||||
\(87\) | 6.02442 | − | 3.85755i | 0.645886 | − | 0.413573i | ||||
\(88\) | 0.504787 | − | 0.291439i | 0.0538104 | − | 0.0310675i | ||||
\(89\) | −3.64478 | + | 13.6025i | −0.386346 | + | 1.44186i | 0.449687 | + | 0.893186i | \(0.351535\pi\) |
−0.836034 | + | 0.548678i | \(0.815131\pi\) | |||||||
\(90\) | 1.08580 | − | 0.767778i | 0.114454 | − | 0.0809309i | ||||
\(91\) | −0.737380 | + | 0.732051i | −0.0772985 | + | 0.0767398i | ||||
\(92\) | − | 6.65190i | − | 0.693509i | ||||||
\(93\) | −1.87442 | − | 1.70965i | −0.194369 | − | 0.177283i | ||||
\(94\) | 2.62902 | + | 4.55359i | 0.271162 | + | 0.469667i | ||||
\(95\) | 1.55830 | − | 2.69906i | 0.159879 | − | 0.276918i | ||||
\(96\) | −0.524648 | − | 1.65068i | −0.0535466 | − | 0.168472i | ||||
\(97\) | 2.59245 | − | 0.694645i | 0.263223 | − | 0.0705305i | −0.124794 | − | 0.992183i | \(-0.539827\pi\) |
0.388017 | + | 0.921652i | \(0.373160\pi\) | |||||||
\(98\) | −6.68126 | + | 1.79024i | −0.674909 | + | 0.180841i | ||||
\(99\) | −0.295697 | + | 1.72345i | −0.0297187 | + | 0.173213i | ||||
\(100\) | −2.40175 | + | 4.15996i | −0.240175 | + | 0.415996i | ||||
\(101\) | −7.12030 | − | 12.3327i | −0.708497 | − | 1.22715i | −0.965415 | − | 0.260719i | \(-0.916040\pi\) |
0.256918 | − | 0.966433i | \(-0.417293\pi\) | |||||||
\(102\) | 6.53418 | − | 7.16392i | 0.646980 | − | 0.709334i | ||||
\(103\) | 4.60903i | 0.454141i | 0.973878 | + | 0.227071i | \(0.0729148\pi\) | ||||
−0.973878 | + | 0.227071i | \(0.927085\pi\) | |||||||
\(104\) | −0.945811 | + | 3.47929i | −0.0927444 | + | 0.341172i | ||||
\(105\) | 0.196494 | + | 0.101713i | 0.0191759 | + | 0.00992617i | ||||
\(106\) | −0.944116 | + | 3.52349i | −0.0917007 | + | 0.342232i | ||||
\(107\) | −11.7017 | + | 6.75600i | −1.13125 | + | 0.653127i | −0.944249 | − | 0.329232i | \(-0.893210\pi\) |
−0.187001 | + | 0.982360i | \(0.559877\pi\) | |||||||
\(108\) | 4.81427 | + | 1.95521i | 0.463253 | + | 0.188140i | ||||
\(109\) | 2.06188 | + | 2.06188i | 0.197492 | + | 0.197492i | 0.798924 | − | 0.601432i | \(-0.205403\pi\) |
−0.601432 | + | 0.798924i | \(0.705403\pi\) | |||||||
\(110\) | 0.0668726 | + | 0.249572i | 0.00637606 | + | 0.0237958i | ||||
\(111\) | 11.7729 | + | 2.58151i | 1.11743 | + | 0.245026i | ||||
\(112\) | 0.203775 | − | 0.203775i | 0.0192549 | − | 0.0192549i | ||||
\(113\) | −9.02108 | − | 5.20832i | −0.848632 | − | 0.489958i | 0.0115570 | − | 0.999933i | \(-0.496321\pi\) |
−0.860189 | + | 0.509975i | \(0.829655\pi\) | |||||||
\(114\) | 12.1649 | − | 0.559256i | 1.13935 | − | 0.0523791i | ||||
\(115\) | 2.84816 | + | 0.763163i | 0.265592 | + | 0.0711653i | ||||
\(116\) | 4.13015 | 0.383475 | ||||||||
\(117\) | −6.21292 | − | 8.85435i | −0.574385 | − | 0.818585i | ||||
\(118\) | −3.40721 | −0.313659 | ||||||||
\(119\) | 1.55830 | + | 0.417546i | 0.142850 | + | 0.0382764i | ||||
\(120\) | 0.766968 | − | 0.0352597i | 0.0700143 | − | 0.00321875i | ||||
\(121\) | 9.23205 | + | 5.33013i | 0.839277 | + | 0.484557i | ||||
\(122\) | 7.43246 | − | 7.43246i | 0.672903 | − | 0.672903i | ||||
\(123\) | 12.9086 | + | 2.83054i | 1.16393 | + | 0.255221i | ||||
\(124\) | −0.379103 | − | 1.41483i | −0.0340444 | − | 0.127055i | ||||
\(125\) | −3.07285 | − | 3.07285i | −0.274844 | − | 0.274844i | ||||
\(126\) | 0.0793233 | + | 0.860896i | 0.00706668 | + | 0.0766948i | ||||
\(127\) | −0.209104 | + | 0.120726i | −0.0185550 | + | 0.0107127i | −0.509249 | − | 0.860619i | \(-0.670077\pi\) |
0.490694 | + | 0.871332i | \(0.336743\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | −5.79555 | − | 3.00000i | −0.510270 | − | 0.264135i | ||||
\(130\) | −1.38122 | − | 0.804144i | −0.121141 | − | 0.0705281i | ||||
\(131\) | 8.09043i | 0.706864i | 0.935460 | + | 0.353432i | \(0.114985\pi\) | ||||
−0.935460 | + | 0.353432i | \(0.885015\pi\) | |||||||
\(132\) | −0.680339 | + | 0.745907i | −0.0592159 | + | 0.0649229i | ||||
\(133\) | 1.01308 | + | 1.75470i | 0.0878449 | + | 0.152152i | ||||
\(134\) | −4.42672 | + | 7.66730i | −0.382410 | + | 0.662354i | ||||
\(135\) | −1.38950 | + | 1.83702i | −0.119589 | + | 0.158105i | ||||
\(136\) | 5.40738 | − | 1.44890i | 0.463679 | − | 0.124242i | ||||
\(137\) | 0.0798882 | − | 0.0214060i | 0.00682531 | − | 0.00182884i | −0.255405 | − | 0.966834i | \(-0.582209\pi\) |
0.262230 | + | 0.965005i | \(0.415542\pi\) | |||||||
\(138\) | 3.48990 | + | 10.9802i | 0.297080 | + | 0.934693i | ||||
\(139\) | 3.12073 | − | 5.40526i | 0.264697 | − | 0.458468i | −0.702788 | − | 0.711400i | \(-0.748062\pi\) |
0.967484 | + | 0.252932i | \(0.0813949\pi\) | |||||||
\(140\) | 0.0638720 | + | 0.110630i | 0.00539817 | + | 0.00934990i | ||||
\(141\) | −6.72870 | − | 6.13721i | −0.566658 | − | 0.516847i | ||||
\(142\) | − | 15.3864i | − | 1.29120i | ||||||
\(143\) | 2.03194 | − | 0.536566i | 0.169920 | − | 0.0448699i | ||||
\(144\) | 1.73205 | + | 2.44949i | 0.144338 | + | 0.204124i | ||||
\(145\) | −0.473846 | + | 1.76842i | −0.0393507 | + | 0.146859i | ||||
\(146\) | −4.31175 | + | 2.48939i | −0.356843 | + | 0.206023i | ||||
\(147\) | 10.0894 | − | 6.46042i | 0.832158 | − | 0.532846i | ||||
\(148\) | 4.92046 | + | 4.92046i | 0.404459 | + | 0.404459i | ||||
\(149\) | −3.76251 | − | 14.0419i | −0.308237 | − | 1.15036i | −0.930123 | − | 0.367249i | \(-0.880300\pi\) |
0.621886 | − | 0.783108i | \(-0.286367\pi\) | |||||||
\(150\) | 1.78201 | − | 8.12683i | 0.145501 | − | 0.663553i | ||||
\(151\) | −6.40358 | + | 6.40358i | −0.521116 | + | 0.521116i | −0.917908 | − | 0.396793i | \(-0.870123\pi\) |
0.396793 | + | 0.917908i | \(0.370123\pi\) | |||||||
\(152\) | 6.08888 | + | 3.51542i | 0.493874 | + | 0.285138i | ||||
\(153\) | −7.02730 | + | 15.2535i | −0.568124 | + | 1.23317i | ||||
\(154\) | −0.162251 | − | 0.0434749i | −0.0130745 | − | 0.00350331i | ||||
\(155\) | 0.649285 | 0.0521519 | ||||||||
\(156\) | −0.264169 | − | 6.23941i | −0.0211504 | − | 0.499552i | ||||
\(157\) | −10.2127 | −0.815065 | −0.407532 | − | 0.913191i | \(-0.633611\pi\) | ||||
−0.407532 | + | 0.913191i | \(0.633611\pi\) | |||||||
\(158\) | −1.07108 | − | 0.286994i | −0.0852103 | − | 0.0228320i | ||||
\(159\) | −0.290157 | − | 6.31148i | −0.0230109 | − | 0.500533i | ||||
\(160\) | 0.383889 | + | 0.221638i | 0.0303491 | + | 0.0175221i | ||||
\(161\) | −1.35549 | + | 1.35549i | −0.106828 | + | 0.106828i | ||||
\(162\) | −8.97261 | − | 0.701625i | −0.704955 | − | 0.0551249i | ||||
\(163\) | −3.59245 | − | 13.4072i | −0.281382 | − | 1.05013i | −0.951442 | − | 0.307827i | \(-0.900398\pi\) |
0.670060 | − | 0.742307i | \(-0.266268\pi\) | |||||||
\(164\) | 5.39512 | + | 5.39512i | 0.421288 | + | 0.421288i | ||||
\(165\) | −0.241323 | − | 0.376879i | −0.0187870 | − | 0.0293400i | ||||
\(166\) | −10.0800 | + | 5.81971i | −0.782363 | + | 0.451697i | ||||
\(167\) | −3.47123 | + | 12.9548i | −0.268612 | + | 1.00247i | 0.691391 | + | 0.722481i | \(0.256998\pi\) |
−0.960003 | + | 0.279991i | \(0.909668\pi\) | |||||||
\(168\) | −0.229457 | + | 0.443277i | −0.0177030 | + | 0.0341996i | ||||
\(169\) | −6.58150 | + | 11.2109i | −0.506269 | + | 0.862376i | ||||
\(170\) | 2.48152i | 0.190324i | ||||||||
\(171\) | −19.7870 | + | 7.30545i | −1.51315 | + | 0.558662i | ||||
\(172\) | −1.88389 | − | 3.26299i | −0.143645 | − | 0.248801i | ||||
\(173\) | −0.551099 | + | 0.954532i | −0.0418993 | + | 0.0725717i | −0.886215 | − | 0.463275i | \(-0.846674\pi\) |
0.844315 | + | 0.535847i | \(0.180008\pi\) | |||||||
\(174\) | −6.81755 | + | 2.16687i | −0.516837 | + | 0.164270i | ||||
\(175\) | 1.33711 | − | 0.358278i | 0.101076 | − | 0.0270833i | ||||
\(176\) | −0.563016 | + | 0.150860i | −0.0424389 | + | 0.0113715i | ||||
\(177\) | 5.62421 | − | 1.78758i | 0.422741 | − | 0.134363i | ||||
\(178\) | 7.04118 | − | 12.1957i | 0.527759 | − | 0.914105i | ||||
\(179\) | −2.79777 | − | 4.84589i | −0.209115 | − | 0.362199i | 0.742321 | − | 0.670045i | \(-0.233725\pi\) |
−0.951436 | + | 0.307846i | \(0.900392\pi\) | |||||||
\(180\) | −1.24752 | + | 0.460590i | −0.0929847 | + | 0.0343304i | ||||
\(181\) | − | 14.4687i | − | 1.07545i | −0.843119 | − | 0.537727i | \(-0.819283\pi\) | ||
0.843119 | − | 0.537727i | \(-0.180717\pi\) | |||||||
\(182\) | 0.901723 | − | 0.516259i | 0.0668402 | − | 0.0382676i | ||||
\(183\) | −8.36919 | + | 16.1680i | −0.618668 | + | 1.19518i | ||||
\(184\) | −1.72164 | + | 6.42524i | −0.126921 | + | 0.473675i | ||||
\(185\) | −2.67132 | + | 1.54229i | −0.196399 | + | 0.113391i | ||||
\(186\) | 1.36806 | + | 2.13654i | 0.100311 | + | 0.156658i | ||||
\(187\) | −2.30731 | − | 2.30731i | −0.168727 | − | 0.168727i | ||||
\(188\) | −1.36088 | − | 5.07887i | −0.0992523 | − | 0.370415i | ||||
\(189\) | −0.582605 | − | 1.37945i | −0.0423783 | − | 0.100340i | ||||
\(190\) | −2.20377 | + | 2.20377i | −0.159879 | + | 0.159879i | ||||
\(191\) | 5.78136 | + | 3.33787i | 0.418324 | + | 0.241520i | 0.694360 | − | 0.719628i | \(-0.255688\pi\) |
−0.276036 | + | 0.961147i | \(0.589021\pi\) | |||||||
\(192\) | 0.0795432 | + | 1.73022i | 0.00574054 | + | 0.124868i | ||||
\(193\) | 5.88685 | + | 1.57738i | 0.423745 | + | 0.113542i | 0.464388 | − | 0.885632i | \(-0.346274\pi\) |
−0.0406437 | + | 0.999174i | \(0.512941\pi\) | |||||||
\(194\) | −2.68390 | −0.192693 | ||||||||
\(195\) | 2.70185 | + | 0.602728i | 0.193484 | + | 0.0431623i | ||||
\(196\) | 6.91695 | 0.494068 | ||||||||
\(197\) | 14.2844 | + | 3.82748i | 1.01772 | + | 0.272697i | 0.728851 | − | 0.684672i | \(-0.240055\pi\) |
0.288868 | + | 0.957369i | \(0.406721\pi\) | |||||||
\(198\) | 0.731683 | − | 1.58819i | 0.0519984 | − | 0.112868i | ||||
\(199\) | 13.4064 | + | 7.74017i | 0.950352 | + | 0.548686i | 0.893190 | − | 0.449679i | \(-0.148462\pi\) |
0.0571619 | + | 0.998365i | \(0.481795\pi\) | |||||||
\(200\) | 3.39659 | − | 3.39659i | 0.240175 | − | 0.240175i | ||||
\(201\) | 3.28447 | − | 14.9787i | 0.231668 | − | 1.05652i | ||||
\(202\) | 3.68574 | + | 13.7554i | 0.259328 | + | 0.967824i | ||||
\(203\) | −0.841620 | − | 0.841620i | −0.0590701 | − | 0.0590701i | ||||
\(204\) | −8.16569 | + | 5.22864i | −0.571713 | + | 0.366078i | ||||
\(205\) | −2.92902 | + | 1.69107i | −0.204572 | + | 0.118109i | ||||
\(206\) | 1.19291 | − | 4.45198i | 0.0831136 | − | 0.310184i | ||||
\(207\) | −11.5214 | − | 16.2938i | −0.800795 | − | 1.13249i | ||||
\(208\) | 1.81409 | − | 3.11594i | 0.125784 | − | 0.216052i | ||||
\(209\) | − | 4.09812i | − | 0.283473i | ||||||
\(210\) | −0.163474 | − | 0.149104i | −0.0112808 | − | 0.0102891i | ||||
\(211\) | −9.40721 | − | 16.2938i | −0.647619 | − | 1.12171i | −0.983690 | − | 0.179872i | \(-0.942432\pi\) |
0.336071 | − | 0.941837i | \(-0.390902\pi\) | |||||||
\(212\) | 1.82389 | − | 3.15907i | 0.125265 | − | 0.216966i | ||||
\(213\) | 8.07243 | + | 25.3980i | 0.553114 | + | 1.74024i | ||||
\(214\) | 13.0516 | − | 3.49716i | 0.892189 | − | 0.239061i | ||||
\(215\) | 1.61326 | − | 0.432272i | 0.110023 | − | 0.0294807i | ||||
\(216\) | −4.14418 | − | 3.13461i | −0.281976 | − | 0.213283i | ||||
\(217\) | −0.211055 | + | 0.365558i | −0.0143274 | + | 0.0248157i | ||||
\(218\) | −1.45797 | − | 2.52528i | −0.0987462 | − | 0.171033i | ||||
\(219\) | 5.81127 | − | 6.37133i | 0.392689 | − | 0.430535i | ||||
\(220\) | − | 0.258376i | − | 0.0174197i | ||||||
\(221\) | 20.1842 | + | 0.0732075i | 1.35774 | + | 0.00492447i | ||||
\(222\) | −10.7036 | − | 5.54059i | −0.718379 | − | 0.371860i | ||||
\(223\) | −1.86235 | + | 6.95039i | −0.124712 | + | 0.465432i | −0.999829 | − | 0.0184790i | \(-0.994118\pi\) |
0.875117 | + | 0.483911i | \(0.160784\pi\) | |||||||
\(224\) | −0.249572 | + | 0.144091i | −0.0166752 | + | 0.00962745i | ||||
\(225\) | 1.32219 | + | 14.3497i | 0.0881460 | + | 0.956649i | ||||
\(226\) | 7.36568 | + | 7.36568i | 0.489958 | + | 0.489958i | ||||
\(227\) | −1.38733 | − | 5.17758i | −0.0920803 | − | 0.343648i | 0.904480 | − | 0.426515i | \(-0.140259\pi\) |
−0.996561 | + | 0.0828671i | \(0.973592\pi\) | |||||||
\(228\) | −11.8952 | − | 2.60831i | −0.787776 | − | 0.172740i | ||||
\(229\) | −8.24846 | + | 8.24846i | −0.545074 | + | 0.545074i | −0.925012 | − | 0.379938i | \(-0.875945\pi\) |
0.379938 | + | 0.925012i | \(0.375945\pi\) | |||||||
\(230\) | −2.55359 | − | 1.47432i | −0.168379 | − | 0.0972136i | ||||
\(231\) | 0.290633 | − | 0.0133612i | 0.0191222 | − | 0.000879103i | ||||
\(232\) | −3.98942 | − | 1.06896i | −0.261918 | − | 0.0701807i | ||||
\(233\) | 9.54763 | 0.625486 | 0.312743 | − | 0.949838i | \(-0.398752\pi\) | ||||
0.312743 | + | 0.949838i | \(0.398752\pi\) | |||||||
\(234\) | 3.70955 | + | 10.1607i | 0.242501 | + | 0.664224i | ||||
\(235\) | 2.33077 | 0.152042 | ||||||||
\(236\) | 3.29111 | + | 0.881850i | 0.214233 | + | 0.0574036i | ||||
\(237\) | 1.91858 | − | 0.0882024i | 0.124625 | − | 0.00572936i | ||||
\(238\) | −1.39714 | − | 0.806638i | −0.0905630 | − | 0.0522865i | ||||
\(239\) | 20.6375 | − | 20.6375i | 1.33493 | − | 1.33493i | 0.434036 | − | 0.900895i | \(-0.357089\pi\) |
0.900895 | − | 0.434036i | \(-0.142911\pi\) | |||||||
\(240\) | −0.749960 | − | 0.164448i | −0.0484097 | − | 0.0106151i | ||||
\(241\) | −2.88685 | − | 10.7739i | −0.185958 | − | 0.694006i | −0.994423 | − | 0.105462i | \(-0.966368\pi\) |
0.808465 | − | 0.588544i | \(-0.200299\pi\) | |||||||
\(242\) | −7.53794 | − | 7.53794i | −0.484557 | − | 0.484557i | ||||
\(243\) | 15.1790 | − | 3.54930i | 0.973734 | − | 0.227688i | ||||
\(244\) | −9.10286 | + | 5.25554i | −0.582751 | + | 0.336451i | ||||
\(245\) | −0.793572 | + | 2.96165i | −0.0506994 | + | 0.189213i | ||||
\(246\) | −11.7362 | − | 6.07508i | −0.748270 | − | 0.387333i | ||||
\(247\) | 17.8601 | + | 17.9901i | 1.13641 | + | 1.14468i | ||||
\(248\) | 1.46474i | 0.0930111i | ||||||||
\(249\) | 13.5856 | − | 14.8950i | 0.860954 | − | 0.943930i | ||||
\(250\) | 2.17283 | + | 3.76346i | 0.137422 | + | 0.238022i | ||||
\(251\) | −2.23476 | + | 3.87071i | −0.141057 | + | 0.244317i | −0.927895 | − | 0.372842i | \(-0.878383\pi\) |
0.786838 | + | 0.617159i | \(0.211717\pi\) | |||||||
\(252\) | 0.146196 | − | 0.852093i | 0.00920948 | − | 0.0536768i | ||||
\(253\) | 3.74513 | − | 1.00350i | 0.235454 | − | 0.0630898i | ||||
\(254\) | 0.233226 | − | 0.0624926i | 0.0146339 | − | 0.00392114i | ||||
\(255\) | −1.30192 | − | 4.09620i | −0.0815297 | − | 0.256514i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 5.97416 | + | 10.3475i | 0.372658 | + | 0.645462i | 0.989973 | − | 0.141254i | \(-0.0451133\pi\) |
−0.617316 | + | 0.786715i | \(0.711780\pi\) | |||||||
\(258\) | 4.82162 | + | 4.39778i | 0.300181 | + | 0.273794i | ||||
\(259\) | − | 2.00533i | − | 0.124605i | ||||||
\(260\) | 1.12603 | + | 1.13423i | 0.0698336 | + | 0.0703420i | ||||
\(261\) | 10.1168 | − | 7.15363i | 0.626211 | − | 0.442798i | ||||
\(262\) | 2.09396 | − | 7.81476i | 0.129365 | − | 0.482797i | ||||
\(263\) | 2.38262 | − | 1.37560i | 0.146918 | − | 0.0848234i | −0.424739 | − | 0.905316i | \(-0.639634\pi\) |
0.571657 | + | 0.820493i | \(0.306301\pi\) | |||||||
\(264\) | 0.850212 | − | 0.544406i | 0.0523269 | − | 0.0335059i | ||||
\(265\) | 1.14338 | + | 1.14338i | 0.0702371 | + | 0.0702371i | ||||
\(266\) | −0.524407 | − | 1.95711i | −0.0321535 | − | 0.119998i | ||||
\(267\) | −5.22430 | + | 23.8253i | −0.319722 | + | 1.45809i | ||||
\(268\) | 6.26033 | − | 6.26033i | 0.382410 | − | 0.382410i | ||||
\(269\) | −5.40423 | − | 3.12013i | −0.329502 | − | 0.190238i | 0.326118 | − | 0.945329i | \(-0.394259\pi\) |
−0.655620 | + | 0.755091i | \(0.727593\pi\) | |||||||
\(270\) | 1.81761 | − | 1.41480i | 0.110616 | − | 0.0861017i | ||||
\(271\) | −21.6057 | − | 5.78922i | −1.31245 | − | 0.351670i | −0.466306 | − | 0.884624i | \(-0.654415\pi\) |
−0.846144 | + | 0.532954i | \(0.821082\pi\) | |||||||
\(272\) | −5.59813 | −0.339437 | ||||||||
\(273\) | −1.21760 | + | 1.32527i | −0.0736927 | + | 0.0802087i | ||||
\(274\) | −0.0827063 | −0.00499647 | ||||||||
\(275\) | −2.70445 | − | 0.724656i | −0.163085 | − | 0.0436984i | ||||
\(276\) | −0.529114 | − | 11.5093i | −0.0318489 | − | 0.692777i | ||||
\(277\) | −4.84833 | − | 2.79919i | −0.291308 | − | 0.168187i | 0.347224 | − | 0.937782i | \(-0.387125\pi\) |
−0.638532 | + | 0.769596i | \(0.720458\pi\) | |||||||
\(278\) | −4.41337 | + | 4.41337i | −0.264697 | + | 0.264697i | ||||
\(279\) | −3.37917 | − | 2.80899i | −0.202305 | − | 0.168170i | ||||
\(280\) | −0.0330626 | − | 0.123391i | −0.00197587 | − | 0.00737404i | ||||
\(281\) | 8.82870 | + | 8.82870i | 0.526676 | + | 0.526676i | 0.919580 | − | 0.392903i | \(-0.128529\pi\) |
−0.392903 | + | 0.919580i | \(0.628529\pi\) | |||||||
\(282\) | 4.91099 | + | 7.66961i | 0.292445 | + | 0.456719i | ||||
\(283\) | −5.93983 | + | 3.42936i | −0.353086 | + | 0.203854i | −0.666044 | − | 0.745913i | \(-0.732014\pi\) |
0.312958 | + | 0.949767i | \(0.398680\pi\) | |||||||
\(284\) | −3.98229 | + | 14.8621i | −0.236305 | + | 0.881904i | ||||
\(285\) | 2.48152 | − | 4.79393i | 0.146993 | − | 0.283968i | ||||
\(286\) | −2.10158 | − | 0.00762236i | −0.124269 | − | 0.000450720i | ||||
\(287\) | − | 2.19878i | − | 0.129790i | ||||||
\(288\) | −1.03906 | − | 2.81431i | −0.0612271 | − | 0.165835i | ||||
\(289\) | −7.16953 | − | 12.4180i | −0.421737 | − | 0.730470i | ||||
\(290\) | 0.915400 | − | 1.58552i | 0.0537541 | − | 0.0931049i | ||||
\(291\) | 4.43026 | − | 1.40810i | 0.259707 | − | 0.0825445i | ||||
\(292\) | 4.80913 | − | 1.28860i | 0.281433 | − | 0.0754098i | ||||
\(293\) | −26.4232 | + | 7.08007i | −1.54366 | + | 0.413622i | −0.927446 | − | 0.373957i | \(-0.878001\pi\) |
−0.616213 | + | 0.787579i | \(0.711334\pi\) | |||||||
\(294\) | −11.4177 | + | 3.62896i | −0.665892 | + | 0.211645i | ||||
\(295\) | −0.755168 | + | 1.30799i | −0.0439676 | + | 0.0761541i | ||||
\(296\) | −3.47929 | − | 6.02630i | −0.202229 | − | 0.350272i | ||||
\(297\) | −0.374533 | + | 3.00547i | −0.0217326 | + | 0.174395i | ||||
\(298\) | 14.5372i | 0.842119i | ||||||||
\(299\) | −12.0671 | + | 20.7269i | −0.697861 | + | 1.19867i | ||||
\(300\) | −3.82467 | + | 7.38870i | −0.220818 | + | 0.426587i | ||||
\(301\) | −0.281026 | + | 1.04880i | −0.0161981 | + | 0.0604521i | ||||
\(302\) | 7.84275 | − | 4.52801i | 0.451300 | − | 0.260558i | ||||
\(303\) | −13.3007 | − | 20.7720i | −0.764105 | − | 1.19332i | ||||
\(304\) | −4.97155 | − | 4.97155i | −0.285138 | − | 0.285138i | ||||
\(305\) | −1.20592 | − | 4.50056i | −0.0690508 | − | 0.257701i | ||||
\(306\) | 10.7357 | − | 12.9149i | 0.613722 | − | 0.738297i | ||||
\(307\) | −15.4869 | + | 15.4869i | −0.883883 | + | 0.883883i | −0.993927 | − | 0.110044i | \(-0.964901\pi\) |
0.110044 | + | 0.993927i | \(0.464901\pi\) | |||||||
\(308\) | 0.145470 | + | 0.0839871i | 0.00828892 | + | 0.00478561i | ||||
\(309\) | 0.366617 | + | 7.97465i | 0.0208561 | + | 0.453662i | ||||
\(310\) | −0.627161 | − | 0.168047i | −0.0356204 | − | 0.00954445i | ||||
\(311\) | −31.8012 | −1.80328 | −0.901642 | − | 0.432484i | \(-0.857637\pi\) | ||||
−0.901642 | + | 0.432484i | \(0.857637\pi\) | |||||||
\(312\) | −1.35971 | + | 6.09518i | −0.0769784 | + | 0.345071i | ||||
\(313\) | −23.7424 | −1.34200 | −0.670999 | − | 0.741458i | \(-0.734135\pi\) | ||||
−0.670999 | + | 0.741458i | \(0.734135\pi\) | |||||||
\(314\) | 9.86474 | + | 2.64325i | 0.556700 | + | 0.149167i | ||||
\(315\) | 0.348070 | + | 0.160356i | 0.0196115 | + | 0.00903506i | ||||
\(316\) | 0.960301 | + | 0.554430i | 0.0540212 | + | 0.0311891i | ||||
\(317\) | −16.8936 | + | 16.8936i | −0.948841 | + | 0.948841i | −0.998754 | − | 0.0499128i | \(-0.984106\pi\) |
0.0499128 | + | 0.998754i | \(0.484106\pi\) | |||||||
\(318\) | −1.35326 | + | 6.17152i | −0.0758872 | + | 0.346082i | ||||
\(319\) | 0.623073 | + | 2.32534i | 0.0348854 | + | 0.130194i | ||||
\(320\) | −0.313444 | − | 0.313444i | −0.0175221 | − | 0.0175221i | ||||
\(321\) | −19.7092 | + | 12.6202i | −1.10006 | + | 0.704390i | ||||
\(322\) | 1.66013 | − | 0.958476i | 0.0925154 | − | 0.0534138i | ||||
\(323\) | 10.1870 | − | 38.0184i | 0.566820 | − | 2.11540i | ||||
\(324\) | 8.48528 | + | 3.00000i | 0.471405 | + | 0.166667i | ||||
\(325\) | 15.0303 | − | 8.60519i | 0.833728 | − | 0.477330i | ||||
\(326\) | 13.8802i | 0.768751i | ||||||||
\(327\) | 3.73152 | + | 3.40351i | 0.206354 | + | 0.188214i | ||||
\(328\) | −3.81493 | − | 6.60765i | −0.210644 | − | 0.364846i | ||||
\(329\) | −0.757633 | + | 1.31226i | −0.0417697 | + | 0.0723472i | ||||
\(330\) | 0.135556 | + | 0.426496i | 0.00746213 | + | 0.0234778i | ||||
\(331\) | 15.9259 | − | 4.26733i | 0.875367 | − | 0.234554i | 0.206960 | − | 0.978349i | \(-0.433643\pi\) |
0.668407 | + | 0.743795i | \(0.266976\pi\) | |||||||
\(332\) | 11.2428 | − | 3.01251i | 0.617030 | − | 0.165333i | ||||
\(333\) | 20.5751 | + | 3.53013i | 1.12751 | + | 0.193450i | ||||
\(334\) | 6.70590 | − | 11.6150i | 0.366930 | − | 0.635542i | ||||
\(335\) | 1.96226 | + | 3.39874i | 0.107210 | + | 0.185693i | ||||
\(336\) | 0.336367 | − | 0.368785i | 0.0183503 | − | 0.0201189i | ||||
\(337\) | − | 3.24846i | − | 0.176955i | −0.996078 | − | 0.0884775i | \(-0.971800\pi\) | ||
0.996078 | − | 0.0884775i | \(-0.0282001\pi\) | |||||||
\(338\) | 9.25883 | − | 9.12547i | 0.503614 | − | 0.496360i | ||||
\(339\) | −16.0228 | − | 8.29400i | −0.870238 | − | 0.450468i | ||||
\(340\) | 0.642265 | − | 2.39697i | 0.0348317 | − | 0.129994i | ||||
\(341\) | 0.739381 | − | 0.426882i | 0.0400397 | − | 0.0231169i | ||||
\(342\) | 21.0035 | − | 1.93527i | 1.13574 | − | 0.104648i | ||||
\(343\) | −2.83592 | − | 2.83592i | −0.153125 | − | 0.153125i | ||||
\(344\) | 0.975173 | + | 3.63939i | 0.0525778 | + | 0.196223i | ||||
\(345\) | 4.98866 | + | 1.09389i | 0.268580 | + | 0.0588930i | ||||
\(346\) | 0.779372 | − | 0.779372i | 0.0418993 | − | 0.0418993i | ||||
\(347\) | 7.11715 | + | 4.10909i | 0.382069 | + | 0.220587i | 0.678718 | − | 0.734399i | \(-0.262536\pi\) |
−0.296649 | + | 0.954986i | \(0.595869\pi\) | |||||||
\(348\) | 7.14608 | − | 0.328525i | 0.383070 | − | 0.0176108i | ||||
\(349\) | 7.73980 | + | 2.07387i | 0.414302 | + | 0.111012i | 0.459948 | − | 0.887946i | \(-0.347868\pi\) |
−0.0456462 | + | 0.998958i | \(0.514535\pi\) | |||||||
\(350\) | −1.38428 | −0.0739928 | ||||||||
\(351\) | −11.4541 | − | 14.8258i | −0.611372 | − | 0.791343i | ||||
\(352\) | 0.582877 | 0.0310675 | ||||||||
\(353\) | −2.70035 | − | 0.723557i | −0.143725 | − | 0.0385111i | 0.186239 | − | 0.982504i | \(-0.440370\pi\) |
−0.329964 | + | 0.943993i | \(0.607037\pi\) | |||||||
\(354\) | −5.89523 | + | 0.271020i | −0.313328 | + | 0.0144046i | ||||
\(355\) | −5.90666 | − | 3.41021i | −0.313493 | − | 0.180995i | ||||
\(356\) | −9.95774 | + | 9.95774i | −0.527759 | + | 0.527759i | ||||
\(357\) | 2.72943 | + | 0.598496i | 0.144457 | + | 0.0316758i | ||||
\(358\) | 1.44823 | + | 5.40488i | 0.0765416 | + | 0.285657i | ||||
\(359\) | −11.6531 | − | 11.6531i | −0.615028 | − | 0.615028i | 0.329224 | − | 0.944252i | \(-0.393213\pi\) |
−0.944252 | + | 0.329224i | \(0.893213\pi\) | |||||||
\(360\) | 1.32422 | − | 0.122014i | 0.0697926 | − | 0.00643072i | ||||
\(361\) | 26.3555 | − | 15.2163i | 1.38713 | − | 0.800860i | ||||
\(362\) | −3.74479 | + | 13.9757i | −0.196822 | + | 0.734548i | ||||
\(363\) | 16.3975 | + | 8.48796i | 0.860645 | + | 0.445503i | ||||
\(364\) | −1.00462 | + | 0.265284i | −0.0526562 | + | 0.0139047i | ||||
\(365\) | 2.20698i | 0.115519i | ||||||||
\(366\) | 12.2686 | − | 13.4510i | 0.641290 | − | 0.703096i | ||||
\(367\) | 18.5929 | + | 32.2039i | 0.970544 | + | 1.68103i | 0.693918 | + | 0.720054i | \(0.255883\pi\) |
0.276626 | + | 0.960978i | \(0.410784\pi\) | |||||||
\(368\) | 3.32595 | − | 5.76071i | 0.173377 | − | 0.300298i | ||||
\(369\) | 22.5599 | + | 3.87067i | 1.17442 | + | 0.201499i | ||||
\(370\) | 2.97947 | − | 0.798347i | 0.154895 | − | 0.0415041i | ||||
\(371\) | −1.01540 | + | 0.272076i | −0.0527171 | + | 0.0141255i | ||||
\(372\) | −0.768472 | − | 2.41782i | −0.0398434 | − | 0.125358i | ||||
\(373\) | 3.94412 | − | 6.83141i | 0.204219 | − | 0.353717i | −0.745665 | − | 0.666321i | \(-0.767868\pi\) |
0.949883 | + | 0.312604i | \(0.101201\pi\) | |||||||
\(374\) | 1.63151 | + | 2.82586i | 0.0843635 | + | 0.146122i | ||||
\(375\) | −5.56114 | − | 5.07229i | −0.287176 | − | 0.261932i | ||||
\(376\) | 5.25803i | 0.271162i | ||||||||
\(377\) | −12.8693 | − | 7.49246i | −0.662802 | − | 0.385881i | ||||
\(378\) | 0.205726 | + | 1.48323i | 0.0105814 | + | 0.0762893i | ||||
\(379\) | 0.481911 | − | 1.79852i | 0.0247541 | − | 0.0923837i | −0.952444 | − | 0.304715i | \(-0.901439\pi\) |
0.977198 | + | 0.212331i | \(0.0681055\pi\) | |||||||
\(380\) | 2.69906 | − | 1.55830i | 0.138459 | − | 0.0799393i | ||||
\(381\) | −0.352194 | + | 0.225517i | −0.0180435 | + | 0.0115536i | ||||
\(382\) | −4.72046 | − | 4.72046i | −0.241520 | − | 0.241520i | ||||
\(383\) | −0.745523 | − | 2.78233i | −0.0380945 | − | 0.142170i | 0.944259 | − | 0.329202i | \(-0.106780\pi\) |
−0.982354 | + | 0.187032i | \(0.940113\pi\) | |||||||
\(384\) | 0.370982 | − | 1.69185i | 0.0189316 | − | 0.0863371i | ||||
\(385\) | −0.0526505 | + | 0.0526505i | −0.00268332 | + | 0.00268332i | ||||
\(386\) | −5.27801 | − | 3.04726i | −0.268643 | − | 0.155101i | ||||
\(387\) | −10.2662 | − | 4.72967i | −0.521862 | − | 0.240423i | ||||
\(388\) | 2.59245 | + | 0.694645i | 0.131612 | + | 0.0352653i | ||||
\(389\) | 23.4187 | 1.18738 | 0.593688 | − | 0.804695i | \(-0.297671\pi\) | ||||
0.593688 | + | 0.804695i | \(0.297671\pi\) | |||||||
\(390\) | −2.45379 | − | 1.28148i | −0.124253 | − | 0.0648903i | ||||
\(391\) | 37.2382 | 1.88322 | ||||||||
\(392\) | −6.68126 | − | 1.79024i | −0.337455 | − | 0.0904207i | ||||
\(393\) | 0.643539 | + | 13.9983i | 0.0324623 | + | 0.706119i | ||||
\(394\) | −12.8070 | − | 7.39413i | −0.645208 | − | 0.372511i | ||||
\(395\) | −0.347566 | + | 0.347566i | −0.0174879 | + | 0.0174879i | ||||
\(396\) | −1.11781 | + | 1.34470i | −0.0561719 | + | 0.0675738i | ||||
\(397\) | 4.76427 | + | 17.7805i | 0.239112 | + | 0.892378i | 0.976252 | + | 0.216638i | \(0.0695092\pi\) |
−0.737140 | + | 0.675740i | \(0.763824\pi\) | |||||||
\(398\) | −10.9463 | − | 10.9463i | −0.548686 | − | 0.548686i | ||||
\(399\) | 1.89242 | + | 2.95544i | 0.0947397 | + | 0.147957i | ||||
\(400\) | −4.15996 | + | 2.40175i | −0.207998 | + | 0.120088i | ||||
\(401\) | 1.75607 | − | 6.55376i | 0.0876942 | − | 0.327279i | −0.908117 | − | 0.418717i | \(-0.862480\pi\) |
0.995811 | + | 0.0914383i | \(0.0291464\pi\) | |||||||
\(402\) | −7.04933 | + | 13.6183i | −0.351589 | + | 0.679217i | ||||
\(403\) | −1.38537 | + | 5.09625i | −0.0690100 | + | 0.253862i | ||||
\(404\) | − | 14.2406i | − | 0.708497i | ||||||
\(405\) | −2.25802 | + | 3.28898i | −0.112202 | + | 0.163431i | ||||
\(406\) | 0.595115 | + | 1.03077i | 0.0295351 | + | 0.0511562i | ||||
\(407\) | −2.02800 | + | 3.51260i | −0.100524 | + | 0.174113i | ||||
\(408\) | 9.24072 | − | 2.93705i | 0.457484 | − | 0.145405i | ||||
\(409\) | −28.2895 | + | 7.58014i | −1.39882 | + | 0.374814i | −0.877923 | − | 0.478803i | \(-0.841071\pi\) |
−0.520902 | + | 0.853617i | \(0.674404\pi\) | |||||||
\(410\) | 3.26690 | − | 0.875362i | 0.161340 | − | 0.0432311i | ||||
\(411\) | 0.136522 | − | 0.0433917i | 0.00673412 | − | 0.00214035i | ||||
\(412\) | −2.30452 | + | 3.99154i | −0.113535 | + | 0.196649i | ||||
\(413\) | −0.490946 | − | 0.850344i | −0.0241579 | − | 0.0418427i | ||||
\(414\) | 6.91171 | + | 18.7205i | 0.339692 | + | 0.920064i | ||||
\(415\) | 5.15949i | 0.253269i | ||||||||
\(416\) | −2.55874 | + | 2.54025i | −0.125453 | + | 0.124546i | ||||
\(417\) | 4.96960 | − | 9.60053i | 0.243362 | − | 0.470140i | ||||
\(418\) | −1.06067 | + | 3.95848i | −0.0518791 | + | 0.193615i | ||||
\(419\) | −8.00397 | + | 4.62109i | −0.391020 | + | 0.225755i | −0.682602 | − | 0.730791i | \(-0.739152\pi\) |
0.291582 | + | 0.956546i | \(0.405818\pi\) | |||||||
\(420\) | 0.119313 | + | 0.186333i | 0.00582186 | + | 0.00909213i | ||||
\(421\) | −18.4490 | − | 18.4490i | −0.899149 | − | 0.899149i | 0.0962115 | − | 0.995361i | \(-0.469327\pi\) |
−0.995361 | + | 0.0962115i | \(0.969327\pi\) | |||||||
\(422\) | 4.86953 | + | 18.1733i | 0.237045 | + | 0.884664i | ||||
\(423\) | −12.1303 | − | 10.0835i | −0.589796 | − | 0.490278i | ||||
\(424\) | −2.57937 | + | 2.57937i | −0.125265 | + | 0.125265i | ||||
\(425\) | −23.2880 | − | 13.4453i | −1.12963 | − | 0.652194i | ||||
\(426\) | −1.22388 | − | 26.6219i | −0.0592973 | − | 1.28983i | ||||
\(427\) | 2.92588 | + | 0.783987i | 0.141593 | + | 0.0379398i | ||||
\(428\) | −13.5120 | −0.653127 | ||||||||
\(429\) | 3.47304 | − | 1.09001i | 0.167680 | − | 0.0526260i | ||||
\(430\) | −1.67017 | −0.0805427 | ||||||||
\(431\) | −21.6015 | − | 5.78811i | −1.04051 | − | 0.278803i | −0.302184 | − | 0.953249i | \(-0.597716\pi\) |
−0.738324 | + | 0.674446i | \(0.764383\pi\) | |||||||
\(432\) | 3.19168 | + | 4.10039i | 0.153560 | + | 0.197280i | ||||
\(433\) | 3.41910 | + | 1.97402i | 0.164311 | + | 0.0948652i | 0.579901 | − | 0.814687i | \(-0.303091\pi\) |
−0.415589 | + | 0.909552i | \(0.636425\pi\) | |||||||
\(434\) | 0.298477 | − | 0.298477i | 0.0143274 | − | 0.0143274i | ||||
\(435\) | −0.679193 | + | 3.09745i | −0.0325648 | + | 0.148511i | ||||
\(436\) | 0.754701 | + | 2.81658i | 0.0361436 | + | 0.134890i | ||||
\(437\) | 33.0703 | + | 33.0703i | 1.58197 | + | 1.58197i | ||||
\(438\) | −7.26228 | + | 4.65017i | −0.347005 | + | 0.222194i | ||||
\(439\) | 15.8569 | − | 9.15500i | 0.756810 | − | 0.436944i | −0.0713394 | − | 0.997452i | \(-0.522727\pi\) |
0.828149 | + | 0.560508i | \(0.189394\pi\) | |||||||
\(440\) | −0.0668726 | + | 0.249572i | −0.00318803 | + | 0.0118979i | ||||
\(441\) | 16.9430 | − | 11.9805i | 0.806810 | − | 0.570501i | ||||
\(442\) | −19.4775 | − | 5.29477i | −0.926450 | − | 0.251847i | ||||
\(443\) | 5.86371i | 0.278593i | 0.990251 | + | 0.139297i | \(0.0444841\pi\) | ||||
−0.990251 | + | 0.139297i | \(0.955516\pi\) | |||||||
\(444\) | 8.90488 | + | 8.12210i | 0.422607 | + | 0.385458i | ||||
\(445\) | −3.12119 | − | 5.40607i | −0.147959 | − | 0.256272i | ||||
\(446\) | 3.59778 | − | 6.23155i | 0.170360 | − | 0.295072i | ||||
\(447\) | −7.62693 | − | 23.9963i | −0.360741 | − | 1.13499i | ||||
\(448\) | 0.278362 | − | 0.0745867i | 0.0131513 | − | 0.00352389i | ||||
\(449\) | 27.5332 | − | 7.37750i | 1.29937 | − | 0.348166i | 0.458160 | − | 0.888870i | \(-0.348509\pi\) |
0.841213 | + | 0.540704i | \(0.181842\pi\) | |||||||
\(450\) | 2.43685 | − | 14.2030i | 0.114874 | − | 0.669535i | ||||
\(451\) | −2.22364 | + | 3.85145i | −0.104707 | + | 0.181358i | ||||
\(452\) | −5.20832 | − | 9.02108i | −0.244979 | − | 0.424316i | ||||
\(453\) | −10.5703 | + | 11.5890i | −0.496634 | + | 0.544498i | ||||
\(454\) | 5.36023i | 0.251568i | ||||||||
\(455\) | 0.00167052 | − | 0.460585i | 7.83154e−5 | − | 0.0215925i | ||||
\(456\) | 10.8148 | + | 5.59813i | 0.506447 | + | 0.262156i | ||||
\(457\) | −4.96154 | + | 18.5167i | −0.232091 | + | 0.866175i | 0.747348 | + | 0.664433i | \(0.231327\pi\) |
−0.979439 | + | 0.201742i | \(0.935340\pi\) | |||||||
\(458\) | 10.1023 | − | 5.83254i | 0.472048 | − | 0.272537i | ||||
\(459\) | −10.9455 | + | 26.9509i | −0.510892 | + | 1.25796i | ||||
\(460\) | 2.08500 | + | 2.08500i | 0.0972136 | + | 0.0972136i | ||||
\(461\) | 7.67398 | + | 28.6397i | 0.357413 | + | 1.33388i | 0.877421 | + | 0.479722i | \(0.159262\pi\) |
−0.520007 | + | 0.854162i | \(0.674071\pi\) | |||||||
\(462\) | −0.284188 | − | 0.0623154i | −0.0132216 | − | 0.00289917i | ||||
\(463\) | 18.2554 | − | 18.2554i | 0.848400 | − | 0.848400i | −0.141533 | − | 0.989934i | \(-0.545203\pi\) |
0.989934 | + | 0.141533i | \(0.0452032\pi\) | |||||||
\(464\) | 3.57681 | + | 2.06507i | 0.166049 | + | 0.0958687i | ||||
\(465\) | 1.12341 | − | 0.0516463i | 0.0520968 | − | 0.00239504i | ||||
\(466\) | −9.22231 | − | 2.47111i | −0.427215 | − | 0.114472i | ||||
\(467\) | 32.4456 | 1.50140 | 0.750701 | − | 0.660642i | \(-0.229716\pi\) | ||||
0.750701 | + | 0.660642i | \(0.229716\pi\) | |||||||
\(468\) | −0.953374 | − | 10.7746i | −0.0440697 | − | 0.498054i | ||||
\(469\) | −2.55139 | −0.117812 | ||||||||
\(470\) | −2.25135 | − | 0.603246i | −0.103847 | − | 0.0278257i | ||||
\(471\) | −17.6703 | + | 0.812354i | −0.814205 | + | 0.0374313i | ||||
\(472\) | −2.95073 | − | 1.70360i | −0.135818 | − | 0.0784147i | ||||
\(473\) | 1.55291 | − | 1.55291i | 0.0714031 | − | 0.0714031i | ||||
\(474\) | −1.87603 | − | 0.411367i | −0.0861690 | − | 0.0188947i | ||||
\(475\) | −8.74101 | − | 32.6219i | −0.401065 | − | 1.49680i | ||||
\(476\) | 1.14076 | + | 1.14076i | 0.0522865 | + | 0.0522865i | ||||
\(477\) | −1.00407 | − | 10.8972i | −0.0459733 | − | 0.498948i | ||||
\(478\) | −25.2757 | + | 14.5929i | −1.15608 | + | 0.667466i | ||||
\(479\) | 2.14571 | − | 8.00792i | 0.0980402 | − | 0.365891i | −0.899423 | − | 0.437080i | \(-0.856013\pi\) |
0.997463 | + | 0.0711890i | \(0.0226793\pi\) | |||||||
\(480\) | 0.681844 | + | 0.352948i | 0.0311218 | + | 0.0161098i | ||||
\(481\) | −6.40570 | − | 24.2580i | −0.292075 | − | 1.10607i | ||||
\(482\) | 11.1539i | 0.508048i | ||||||||
\(483\) | −2.23748 | + | 2.45312i | −0.101809 | + | 0.111621i | ||||
\(484\) | 5.33013 | + | 9.23205i | 0.242279 | + | 0.419639i | ||||
\(485\) | −0.594856 | + | 1.03032i | −0.0270110 | + | 0.0467845i | ||||
\(486\) | −15.5804 | − | 0.500258i | −0.706743 | − | 0.0226921i | ||||
\(487\) | −31.0359 | + | 8.31604i | −1.40637 | + | 0.376836i | −0.880628 | − | 0.473808i | \(-0.842879\pi\) |
−0.525742 | + | 0.850644i | \(0.676212\pi\) | |||||||
\(488\) | 10.1529 | − | 2.72047i | 0.459601 | − | 0.123150i | ||||
\(489\) | −7.28219 | − | 22.9117i | −0.329312 | − | 1.03610i | ||||
\(490\) | 1.53306 | − | 2.65534i | 0.0692567 | − | 0.119956i | ||||
\(491\) | 13.2100 | + | 22.8803i | 0.596157 | + | 1.03257i | 0.993383 | + | 0.114853i | \(0.0366397\pi\) |
−0.397226 | + | 0.917721i | \(0.630027\pi\) | |||||||
\(492\) | 9.76391 | + | 8.90562i | 0.440191 | + | 0.401496i | ||||
\(493\) | 23.1211i | 1.04132i | ||||||||
\(494\) | −12.5953 | − | 21.9996i | −0.566690 | − | 0.989809i | ||||
\(495\) | −0.447520 | − | 0.632890i | −0.0201145 | − | 0.0284463i | ||||
\(496\) | 0.379103 | − | 1.41483i | 0.0170222 | − | 0.0635277i | ||||
\(497\) | 3.84001 | − | 2.21703i | 0.172248 | − | 0.0994475i | ||||
\(498\) | −16.9778 | + | 10.8712i | −0.760794 | + | 0.487150i | ||||
\(499\) | −9.27427 | − | 9.27427i | −0.415173 | − | 0.415173i | 0.468363 | − | 0.883536i | \(-0.344844\pi\) |
−0.883536 | + | 0.468363i | \(0.844844\pi\) | |||||||
\(500\) | −1.12474 | − | 4.19759i | −0.0503000 | − | 0.187722i | ||||
\(501\) | −4.97553 | + | 22.6908i | −0.222290 | + | 1.01375i | ||||
\(502\) | 3.16043 | − | 3.16043i | 0.141057 | − | 0.141057i | ||||
\(503\) | 26.4513 | + | 15.2717i | 1.17941 | + | 0.680931i | 0.955877 | − | 0.293767i | \(-0.0949089\pi\) |
0.223529 | + | 0.974697i | \(0.428242\pi\) | |||||||
\(504\) | −0.361752 | + | 0.785220i | −0.0161137 | + | 0.0349765i | ||||
\(505\) | 6.09744 | + | 1.63380i | 0.271332 | + | 0.0727033i | ||||
\(506\) | −3.87724 | −0.172364 | ||||||||
\(507\) | −10.4957 | + | 19.9208i | −0.466131 | + | 0.884716i | ||||
\(508\) | −0.241453 | −0.0107127 | ||||||||
\(509\) | −23.0380 | − | 6.17302i | −1.02114 | − | 0.273614i | −0.290865 | − | 0.956764i | \(-0.593943\pi\) |
−0.730278 | + | 0.683150i | \(0.760610\pi\) | |||||||
\(510\) | 0.197388 | + | 4.29359i | 0.00874050 | + | 0.190123i | ||||
\(511\) | −1.24256 | − | 0.717395i | −0.0549678 | − | 0.0317357i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −33.6548 | + | 14.2140i | −1.48590 | + | 0.627562i | ||||
\(514\) | −3.09245 | − | 11.5412i | −0.136402 | − | 0.509060i | ||||
\(515\) | −1.44467 | − | 1.44467i | −0.0636599 | − | 0.0636599i | ||||
\(516\) | −3.51910 | − | 5.49585i | −0.154920 | − | 0.241941i | ||||
\(517\) | 2.65418 | − | 1.53239i | 0.116731 | − | 0.0673946i | ||||
\(518\) | −0.519017 | + | 1.93700i | −0.0228043 | + | 0.0851069i | ||||
\(519\) | −0.877598 | + | 1.69539i | −0.0385223 | + | 0.0744193i | ||||
\(520\) | −0.794103 | − | 1.38702i | −0.0348237 | − | 0.0608249i | ||||
\(521\) | − | 42.5422i | − | 1.86381i | −0.362704 | − | 0.931904i | \(-0.618146\pi\) | ||
0.362704 | − | 0.931904i | \(-0.381854\pi\) | |||||||
\(522\) | −11.6235 | + | 4.29146i | −0.508748 | + | 0.187832i | ||||
\(523\) | 17.0400 | + | 29.5141i | 0.745107 | + | 1.29056i | 0.950145 | + | 0.311809i | \(0.100935\pi\) |
−0.205037 | + | 0.978754i | \(0.565732\pi\) | |||||||
\(524\) | −4.04522 | + | 7.00652i | −0.176716 | + | 0.306081i | ||||
\(525\) | 2.28500 | − | 0.726259i | 0.0997257 | − | 0.0316965i | ||||
\(526\) | −2.65746 | + | 0.712065i | −0.115871 | + | 0.0310475i | ||||
\(527\) | 7.92040 | − | 2.12227i | 0.345018 | − | 0.0924473i | ||||
\(528\) | −0.962144 | + | 0.305805i | −0.0418719 | + | 0.0133085i | ||||
\(529\) | −10.6239 | + | 18.4011i | −0.461908 | + | 0.800048i | ||||
\(530\) | −0.808489 | − | 1.40034i | −0.0351185 | − | 0.0608271i | ||||
\(531\) | 9.58895 | − | 3.54029i | 0.416125 | − | 0.153635i | ||||
\(532\) | 2.02615i | 0.0878449i | ||||||||
\(533\) | −7.02365 | − | 26.5981i | −0.304228 | − | 1.15209i | ||||
\(534\) | 11.2127 | − | 21.6613i | 0.485222 | − | 0.937378i | ||||
\(535\) | 1.55021 | − | 5.78547i | 0.0670215 | − | 0.250128i | ||||
\(536\) | −7.66730 | + | 4.42672i | −0.331177 | + | 0.191205i | ||||
\(537\) | −5.22623 | − | 8.16192i | −0.225529 | − | 0.352213i | ||||
\(538\) | 4.41254 | + | 4.41254i | 0.190238 | + | 0.190238i | ||||
\(539\) | 1.04349 | + | 3.89436i | 0.0449463 | + | 0.167742i | ||||
\(540\) | −2.12185 | + | 0.896156i | −0.0913100 | + | 0.0385644i | ||||
\(541\) | 18.5013 | − | 18.5013i | 0.795434 | − | 0.795434i | −0.186938 | − | 0.982372i | \(-0.559856\pi\) |
0.982372 | + | 0.186938i | \(0.0598564\pi\) | |||||||
\(542\) | 19.3711 | + | 11.1839i | 0.832060 | + | 0.480390i | ||||
\(543\) | −1.15089 | − | 25.0342i | −0.0493895 | − | 1.07432i | ||||
\(544\) | 5.40738 | + | 1.44890i | 0.231839 | + | 0.0621212i | ||||
\(545\) | −1.29257 | −0.0553676 | ||||||||
\(546\) | 1.51912 | − | 0.964969i | 0.0650123 | − | 0.0412969i | ||||
\(547\) | 39.5058 | 1.68915 | 0.844573 | − | 0.535440i | \(-0.179854\pi\) | ||||
0.844573 | + | 0.535440i | \(0.179854\pi\) | |||||||
\(548\) | 0.0798882 | + | 0.0214060i | 0.00341265 | + | 0.000914418i | ||||
\(549\) | −13.1945 | + | 28.6400i | −0.563128 | + | 1.22233i | ||||
\(550\) | 2.42475 | + | 1.39993i | 0.103391 | + | 0.0596931i | ||||
\(551\) | −20.5332 | + | 20.5332i | −0.874746 | + | 0.874746i | ||||
\(552\) | −2.46773 | + | 11.2540i | −0.105034 | + | 0.479004i | ||||
\(553\) | −0.0827063 | − | 0.308664i | −0.00351703 | − | 0.0131257i | ||||
\(554\) | 3.95865 | + | 3.95865i | 0.168187 | + | 0.168187i | ||||
\(555\) | −4.49930 | + | 2.88099i | −0.190985 | + | 0.122291i | ||||
\(556\) | 5.40526 | − | 3.12073i | 0.229234 | − | 0.132348i | ||||
\(557\) | 4.08768 | − | 15.2554i | 0.173201 | − | 0.646394i | −0.823650 | − | 0.567098i | \(-0.808066\pi\) |
0.996851 | − | 0.0792958i | \(-0.0252672\pi\) | |||||||
\(558\) | 2.53700 | + | 3.58786i | 0.107400 | + | 0.151886i | ||||
\(559\) | −0.0492717 | + | 13.5848i | −0.00208397 | + | 0.574577i | ||||
\(560\) | 0.127744i | 0.00539817i | ||||||||
\(561\) | −4.17568 | − | 3.80862i | −0.176298 | − | 0.160800i | ||||
\(562\) | −6.24284 | − | 10.8129i | −0.263338 | − | 0.456115i | ||||
\(563\) | 10.6906 | − | 18.5166i | 0.450555 | − | 0.780383i | −0.547866 | − | 0.836566i | \(-0.684560\pi\) |
0.998421 | + | 0.0561827i | \(0.0178929\pi\) | |||||||
\(564\) | −2.75862 | − | 8.67933i | −0.116159 | − | 0.365466i | ||||
\(565\) | 4.46012 | − | 1.19509i | 0.187639 | − | 0.0502777i | ||||
\(566\) | 6.62502 | − | 1.77517i | 0.278470 | − | 0.0746159i | ||||
\(567\) | −1.11776 | − | 2.34041i | −0.0469416 | − | 0.0982880i | ||||
\(568\) | 7.69319 | − | 13.3250i | 0.322799 | − | 0.559105i | ||||
\(569\) | 14.5203 | + | 25.1500i | 0.608725 | + | 1.05434i | 0.991451 | + | 0.130480i | \(0.0416519\pi\) |
−0.382726 | + | 0.923862i | \(0.625015\pi\) | |||||||
\(570\) | −3.63773 | + | 3.98832i | −0.152368 | + | 0.167052i | ||||
\(571\) | 9.91137i | 0.414778i | 0.978259 | + | 0.207389i | \(0.0664966\pi\) | ||||
−0.978259 | + | 0.207389i | \(0.933503\pi\) | |||||||
\(572\) | 2.02800 | + | 0.551292i | 0.0847948 | + | 0.0230507i | ||||
\(573\) | 10.2685 | + | 5.31539i | 0.428974 | + | 0.222054i | ||||
\(574\) | −0.569086 | + | 2.12386i | −0.0237532 | + | 0.0886481i | ||||
\(575\) | 27.6716 | − | 15.9762i | 1.15399 | − | 0.666254i | ||||
\(576\) | 0.275255 | + | 2.98735i | 0.0114690 | + | 0.124473i | ||||
\(577\) | −4.91283 | − | 4.91283i | −0.204524 | − | 0.204524i | 0.597411 | − | 0.801935i | \(-0.296196\pi\) |
−0.801935 | + | 0.597411i | \(0.796196\pi\) | |||||||
\(578\) | 3.71122 | + | 13.8505i | 0.154366 | + | 0.576104i | ||||
\(579\) | 10.3110 | + | 2.26095i | 0.428512 | + | 0.0939621i | ||||
\(580\) | −1.29457 | + | 1.29457i | −0.0537541 | + | 0.0537541i | ||||
\(581\) | −2.90488 | − | 1.67713i | −0.120515 | − | 0.0695791i | ||||
\(582\) | −4.64375 | + | 0.213486i | −0.192490 | + | 0.00884929i | ||||
\(583\) | 2.05376 | + | 0.550304i | 0.0850581 | + | 0.0227913i | ||||
\(584\) | −4.97878 | −0.206023 | ||||||||
\(585\) | 4.72275 | + | 0.827940i | 0.195262 | + | 0.0342311i | ||||
\(586\) | 27.3553 | 1.13004 | ||||||||
\(587\) | −23.2001 | − | 6.21644i | −0.957569 | − | 0.256580i | −0.253998 | − | 0.967205i | \(-0.581746\pi\) |
−0.703571 | + | 0.710625i | \(0.748412\pi\) | |||||||
\(588\) | 11.9679 | − | 0.550197i | 0.493547 | − | 0.0226897i | ||||
\(589\) | 8.91863 | + | 5.14917i | 0.367486 | + | 0.212168i | ||||
\(590\) | 1.06797 | − | 1.06797i | 0.0439676 | − | 0.0439676i | ||||
\(591\) | 25.0196 | + | 5.48618i | 1.02917 | + | 0.225671i | ||||
\(592\) | 1.80101 | + | 6.72147i | 0.0740211 | + | 0.276251i | ||||
\(593\) | −22.0744 | − | 22.0744i | −0.906489 | − | 0.906489i | 0.0894984 | − | 0.995987i | \(-0.471474\pi\) |
−0.995987 | + | 0.0894984i | \(0.971474\pi\) | |||||||
\(594\) | 1.13964 | − | 2.80613i | 0.0467602 | − | 0.115137i | ||||
\(595\) | −0.619319 | + | 0.357564i | −0.0253896 | + | 0.0146587i | ||||
\(596\) | 3.76251 | − | 14.0419i | 0.154119 | − | 0.575178i | ||||
\(597\) | 23.8117 | + | 12.3258i | 0.974548 | + | 0.504463i | ||||
\(598\) | 17.0205 | − | 16.8975i | 0.696019 | − | 0.690989i | ||||
\(599\) | 35.2538i | 1.44043i | 0.693750 | + | 0.720216i | \(0.255957\pi\) | ||||
−0.693750 | + | 0.720216i | \(0.744043\pi\) | |||||||
\(600\) | 5.60669 | − | 6.14704i | 0.228892 | − | 0.250952i | ||||
\(601\) | −10.0883 | − | 17.4735i | −0.411512 | − | 0.712759i | 0.583544 | − | 0.812082i | \(-0.301666\pi\) |
−0.995055 | + | 0.0993227i | \(0.968332\pi\) | |||||||
\(602\) | 0.542901 | − | 0.940332i | 0.0221270 | − | 0.0383251i | ||||
\(603\) | 4.49140 | − | 26.1778i | 0.182904 | − | 1.06604i | ||||
\(604\) | −8.74745 | + | 2.34387i | −0.355929 | + | 0.0953708i | ||||
\(605\) | −4.56443 | + | 1.22304i | −0.185570 | + | 0.0497234i | ||||
\(606\) | 7.47130 | + | 23.5067i | 0.303501 | + | 0.954894i | ||||
\(607\) | 2.42837 | − | 4.20607i | 0.0985647 | − | 0.170719i | −0.812526 | − | 0.582925i | \(-0.801908\pi\) |
0.911091 | + | 0.412206i | \(0.135242\pi\) | |||||||
\(608\) | 3.51542 | + | 6.08888i | 0.142569 | + | 0.246937i | ||||
\(609\) | −1.52314 | − | 1.38925i | −0.0617206 | − | 0.0562951i | ||||
\(610\) | 4.65932i | 0.188650i | ||||||||
\(611\) | −4.97311 | + | 18.2942i | −0.201190 | + | 0.740105i | ||||
\(612\) | −13.7126 | + | 9.69625i | −0.554297 | + | 0.391948i | ||||
\(613\) | −0.235455 | + | 0.878731i | −0.00950994 | + | 0.0354916i | −0.970518 | − | 0.241030i | \(-0.922515\pi\) |
0.961008 | + | 0.276521i | \(0.0891816\pi\) | |||||||
\(614\) | 18.9675 | − | 10.9509i | 0.765465 | − | 0.441941i | ||||
\(615\) | −4.93334 | + | 3.15891i | −0.198932 | + | 0.127380i | ||||
\(616\) | −0.118776 | − | 0.118776i | −0.00478561 | − | 0.00478561i | ||||
\(617\) | −11.6445 | − | 43.4580i | −0.468792 | − | 1.74956i | −0.644002 | − | 0.765024i | \(-0.722727\pi\) |
0.175210 | − | 0.984531i | \(-0.443940\pi\) | |||||||
\(618\) | 1.70987 | − | 7.79781i | 0.0687809 | − | 0.313674i | ||||
\(619\) | 11.7433 | − | 11.7433i | 0.472003 | − | 0.472003i | −0.430559 | − | 0.902562i | \(-0.641684\pi\) |
0.902562 | + | 0.430559i | \(0.141684\pi\) | |||||||
\(620\) | 0.562298 | + | 0.324643i | 0.0225824 | + | 0.0130380i | ||||
\(621\) | −21.2307 | − | 27.2754i | −0.851959 | − | 1.09452i | ||||
\(622\) | 30.7176 | + | 8.23077i | 1.23167 | + | 0.330024i | ||||
\(623\) | 4.05827 | 0.162591 | ||||||||
\(624\) | 2.89093 | − | 5.53557i | 0.115730 | − | 0.221600i | ||||
\(625\) | −22.0912 | −0.883648 | ||||||||
\(626\) | 22.9334 | + | 6.14498i | 0.916602 | + | 0.245603i | ||||
\(627\) | −0.325977 | − | 7.09066i | −0.0130183 | − | 0.283174i | ||||
\(628\) | −8.84449 | − | 5.10637i | −0.352933 | − | 0.203766i | ||||
\(629\) | −27.5454 | + | 27.5454i | −1.09831 | + | 1.09831i | ||||
\(630\) | −0.294706 | − | 0.244980i | −0.0117414 | − | 0.00976022i | ||||
\(631\) | 9.44656 | + | 35.2551i | 0.376062 | + | 1.40348i | 0.851787 | + | 0.523888i | \(0.175519\pi\) |
−0.475725 | + | 0.879594i | \(0.657814\pi\) | |||||||
\(632\) | −0.784083 | − | 0.784083i | −0.0311891 | − | 0.0311891i | ||||
\(633\) | −17.5726 | − | 27.4436i | −0.698449 | − | 1.09078i | ||||
\(634\) | 20.6904 | − | 11.9456i | 0.821720 | − | 0.474420i | ||||
\(635\) | 0.0277015 | − | 0.103384i | 0.00109930 | − | 0.00410265i | ||||
\(636\) | 2.90446 | − | 5.61098i | 0.115169 | − | 0.222490i | ||||
\(637\) | −21.5528 | − | 12.5480i | −0.853953 | − | 0.497168i | ||||
\(638\) | − | 2.40737i | − | 0.0953087i | ||||||
\(639\) | 15.9873 | + | 43.3021i | 0.632450 | + | 1.71300i | ||||
\(640\) | 0.221638 | + | 0.383889i | 0.00876103 | + | 0.0151745i | ||||
\(641\) | 0.424453 | − | 0.735175i | 0.0167649 | − | 0.0290377i | −0.857521 | − | 0.514449i | \(-0.827997\pi\) |
0.874286 | + | 0.485411i | \(0.161330\pi\) | |||||||
\(642\) | 22.3040 | − | 7.08904i | 0.880269 | − | 0.279782i | ||||
\(643\) | −16.6824 | + | 4.47005i | −0.657891 | + | 0.176281i | −0.572294 | − | 0.820048i | \(-0.693946\pi\) |
−0.0855970 | + | 0.996330i | \(0.527280\pi\) | |||||||
\(644\) | −1.85163 | + | 0.496144i | −0.0729646 | + | 0.0195508i | ||||
\(645\) | 2.75692 | − | 0.876250i | 0.108553 | − | 0.0345023i | ||||
\(646\) | −19.6798 | + | 34.0864i | −0.774290 | + | 1.34111i | ||||
\(647\) | −7.87623 | − | 13.6420i | −0.309646 | − | 0.536323i | 0.668639 | − | 0.743588i | \(-0.266877\pi\) |
−0.978285 | + | 0.207264i | \(0.933544\pi\) | |||||||
\(648\) | −7.41970 | − | 5.09393i | −0.291473 | − | 0.200108i | ||||
\(649\) | 1.98598i | 0.0779567i | ||||||||
\(650\) | −16.7453 | + | 4.42186i | −0.656804 | + | 0.173439i | ||||
\(651\) | −0.336095 | + | 0.649285i | −0.0131726 | + | 0.0254475i | ||||
\(652\) | 3.59245 | − | 13.4072i | 0.140691 | − | 0.525067i | ||||
\(653\) | −21.3400 | + | 12.3207i | −0.835099 | + | 0.482145i | −0.855595 | − | 0.517645i | \(-0.826809\pi\) |
0.0204964 | + | 0.999790i | \(0.493475\pi\) | |||||||
\(654\) | −2.72348 | − | 4.25332i | −0.106497 | − | 0.166318i | ||||
\(655\) | −2.53590 | − | 2.53590i | −0.0990857 | − | 0.0990857i | ||||
\(656\) | 1.97475 | + | 7.36988i | 0.0771011 | + | 0.287745i | ||||
\(657\) | 9.54799 | − | 11.4861i | 0.372503 | − | 0.448115i | ||||
\(658\) | 1.07145 | − | 1.07145i | 0.0417697 | − | 0.0417697i | ||||
\(659\) | 15.3411 | + | 8.85721i | 0.597606 | + | 0.345028i | 0.768099 | − | 0.640331i | \(-0.221203\pi\) |
−0.170493 | + | 0.985359i | \(0.554536\pi\) | |||||||
\(660\) | −0.0205521 | − | 0.447048i | −0.000799988 | − | 0.0174013i | ||||
\(661\) | −9.15665 | − | 2.45352i | −0.356153 | − | 0.0954308i | 0.0763064 | − | 0.997084i | \(-0.475687\pi\) |
−0.432459 | + | 0.901654i | \(0.642354\pi\) | |||||||
\(662\) | −16.4877 | −0.640813 | ||||||||
\(663\) | 34.9290 | − | 1.47885i | 1.35653 | − | 0.0574339i | ||||
\(664\) | −11.6394 | −0.451697 | ||||||||
\(665\) | −0.867544 | − | 0.232458i | −0.0336419 | − | 0.00901432i | ||||
\(666\) | −18.9603 | − | 8.73506i | −0.734698 | − | 0.338477i | ||||
\(667\) | −23.7926 | − | 13.7367i | −0.921253 | − | 0.531886i | ||||
\(668\) | −9.48357 | + | 9.48357i | −0.366930 | + | 0.366930i | ||||
\(669\) | −2.66943 | + | 12.1739i | −0.103206 | + | 0.470669i | ||||
\(670\) | −1.01574 | − | 3.79080i | −0.0392415 | − | 0.146451i | ||||
\(671\) | −4.33221 | − | 4.33221i | −0.167243 | − | 0.167243i | ||||
\(672\) | −0.420354 | + | 0.269161i | −0.0162155 | + | 0.0103831i | ||||
\(673\) | −0.150089 | + | 0.0866536i | −0.00578549 | + | 0.00334025i | −0.502890 | − | 0.864350i | \(-0.667730\pi\) |
0.497104 | + | 0.867691i | \(0.334397\pi\) | |||||||
\(674\) | −0.840764 | + | 3.13777i | −0.0323850 | + | 0.120862i | ||||
\(675\) | 3.42911 | + | 24.7231i | 0.131986 | + | 0.951591i | ||||
\(676\) | −11.3052 | + | 6.41816i | −0.434815 | + | 0.246852i | ||||
\(677\) | − | 2.12205i | − | 0.0815568i | −0.999168 | − | 0.0407784i | \(-0.987016\pi\) | ||
0.999168 | − | 0.0407784i | \(-0.0129838\pi\) | |||||||
\(678\) | 13.3302 | + | 12.1584i | 0.511942 | + | 0.466940i | ||||
\(679\) | −0.386725 | − | 0.669827i | −0.0148411 | − | 0.0257056i | ||||
\(680\) | −1.24076 | + | 2.14906i | −0.0475810 | + | 0.0824127i | ||||
\(681\) | −2.81223 | − | 8.84802i | −0.107765 | − | 0.339057i | ||||
\(682\) | −0.824672 | + | 0.220970i | −0.0315783 | + | 0.00846139i | ||||
\(683\) | −30.9953 | + | 8.30516i | −1.18600 | + | 0.317788i | −0.797305 | − | 0.603577i | \(-0.793742\pi\) |
−0.388697 | + | 0.921365i | \(0.627075\pi\) | |||||||
\(684\) | −20.7888 | − | 3.56679i | −0.794878 | − | 0.136379i | ||||
\(685\) | −0.0183309 | + | 0.0317500i | −0.000700388 | + | 0.00121311i | ||||
\(686\) | 2.00530 | + | 3.47328i | 0.0765627 | + | 0.132611i | ||||
\(687\) | −13.6156 | + | 14.9278i | −0.519466 | + | 0.569531i | ||||
\(688\) | − | 3.76778i | − | 0.143645i | ||||||
\(689\) | −11.4140 | + | 6.53478i | −0.434838 | + | 0.248955i | ||||
\(690\) | −4.53556 | − | 2.34778i | −0.172666 | − | 0.0893783i | ||||
\(691\) | 7.89090 | − | 29.4492i | 0.300184 | − | 1.12030i | −0.636829 | − | 0.771005i | \(-0.719754\pi\) |
0.937012 | − | 0.349296i | \(-0.113579\pi\) | |||||||
\(692\) | −0.954532 | + | 0.551099i | −0.0362858 | + | 0.0209496i | ||||
\(693\) | 0.501797 | − | 0.0462358i | 0.0190617 | − | 0.00175635i | ||||
\(694\) | −5.81113 | − | 5.81113i | −0.220587 | − | 0.220587i | ||||
\(695\) | 0.716073 | + | 2.67242i | 0.0271622 | + | 0.101371i | ||||
\(696\) | −6.98761 | − | 1.53221i | −0.264865 | − | 0.0580783i | ||||
\(697\) | −30.2026 | + | 30.2026i | −1.14401 | + | 1.14401i | ||||
\(698\) | −6.93931 | − | 4.00641i | −0.262657 | − | 0.151645i | ||||
\(699\) | 16.5195 | − | 0.759450i | 0.624826 | − | 0.0287250i | ||||
\(700\) | 1.33711 | + | 0.358278i | 0.0505381 | + | 0.0135416i | ||||
\(701\) | −1.23549 | −0.0466638 | −0.0233319 | − | 0.999728i | \(-0.507427\pi\) | ||||
−0.0233319 | + | 0.999728i | \(0.507427\pi\) | |||||||
\(702\) | 7.22656 | + | 17.2852i | 0.272749 | + | 0.652386i | ||||
\(703\) | −48.9246 | −1.84523 | ||||||||
\(704\) | −0.563016 | − | 0.150860i | −0.0212195 | − | 0.00568574i | ||||
\(705\) | 4.03274 | − | 0.185397i | 0.151882 | − | 0.00698244i | ||||
\(706\) | 2.42107 | + | 1.39781i | 0.0911182 | + | 0.0526071i | ||||
\(707\) | −2.90188 | + | 2.90188i | −0.109136 | + | 0.109136i | ||||
\(708\) | 5.76450 | + | 1.26401i | 0.216643 | + | 0.0475045i | ||||
\(709\) | 4.09728 | + | 15.2913i | 0.153877 | + | 0.574276i | 0.999199 | + | 0.0400188i | \(0.0127418\pi\) |
−0.845322 | + | 0.534257i | \(0.820592\pi\) | |||||||
\(710\) | 4.82277 | + | 4.82277i | 0.180995 | + | 0.180995i | ||||
\(711\) | 3.31255 | − | 0.305220i | 0.124230 | − | 0.0114466i | ||||
\(712\) | 12.1957 | − | 7.04118i | 0.457053 | − | 0.263879i | ||||
\(713\) | −2.52175 | + | 9.41131i | −0.0944404 | + | 0.352456i | ||||
\(714\) | −2.48152 | − | 1.28453i | −0.0928686 | − | 0.0480723i | ||||
\(715\) | −0.468717 | + | 0.805084i | −0.0175290 | + | 0.0301084i | ||||
\(716\) | − | 5.59555i | − | 0.209115i | ||||||
\(717\) | 34.0660 | − | 37.3491i | 1.27222 | − | 1.39483i | ||||
\(718\) | 8.24000 | + | 14.2721i | 0.307514 | + | 0.532630i | ||||
\(719\) | 1.55033 | − | 2.68525i | 0.0578176 | − | 0.100143i | −0.835668 | − | 0.549235i | \(-0.814919\pi\) |
0.893486 | + | 0.449092i | \(0.148252\pi\) | |||||||
\(720\) | −1.31068 | − | 0.224877i | −0.0488461 | − | 0.00838067i | ||||
\(721\) | 1.28298 | − | 0.343773i | 0.0477806 | − | 0.0128028i | ||||
\(722\) | −29.3957 | + | 7.87656i | −1.09400 | + | 0.293135i | ||||
\(723\) | −5.85188 | − | 18.4116i | −0.217634 | − | 0.684734i | ||||
\(724\) | 7.23437 | − | 12.5303i | 0.268863 | − | 0.465685i | ||||
\(725\) | 9.91959 | + | 17.1812i | 0.368404 | + | 0.638095i | ||||
\(726\) | −13.6419 | − | 12.4427i | −0.506299 | − | 0.461793i | ||||
\(727\) | − | 20.0877i | − | 0.745011i | −0.928030 | − | 0.372506i | \(-0.878499\pi\) | ||
0.928030 | − | 0.372506i | \(-0.121501\pi\) | |||||||
\(728\) | 1.03904 | + | 0.00376858i | 0.0385096 | + | 0.000139673i | ||||
\(729\) | 25.9808 | − | 7.34847i | 0.962250 | − | 0.272166i | ||||
\(730\) | 0.571208 | − | 2.13178i | 0.0211414 | − | 0.0789006i | ||||
\(731\) | 18.2667 | − | 10.5463i | 0.675617 | − | 0.390067i | ||||
\(732\) | −15.3319 | + | 9.81733i | −0.566685 | + | 0.362859i | ||||
\(733\) | 35.4832 | + | 35.4832i | 1.31060 | + | 1.31060i | 0.920972 | + | 0.389628i | \(0.127396\pi\) |
0.389628 | + | 0.920972i | \(0.372604\pi\) | |||||||
\(734\) | −9.62442 | − | 35.9188i | −0.355244 | − | 1.32579i | ||||
\(735\) | −1.13748 | + | 5.18744i | −0.0419565 | + | 0.191342i | ||||
\(736\) | −4.70360 | + | 4.70360i | −0.173377 | + | 0.173377i | ||||
\(737\) | 4.46910 | + | 2.58023i | 0.164621 | + | 0.0950442i | ||||
\(738\) | −20.7894 | − | 9.57772i | −0.765269 | − | 0.352561i | ||||
\(739\) | −22.4899 | − | 6.02615i | −0.827305 | − | 0.221676i | −0.179767 | − | 0.983709i | \(-0.557534\pi\) |
−0.647538 | + | 0.762034i | \(0.724201\pi\) | |||||||
\(740\) | −3.08458 | −0.113391 | ||||||||
\(741\) | 32.3329 | + | 29.7062i | 1.18778 | + | 1.09129i | ||||
\(742\) | 1.05122 | 0.0385916 | ||||||||
\(743\) | 25.8872 | + | 6.93645i | 0.949709 | + | 0.254474i | 0.700239 | − | 0.713909i | \(-0.253077\pi\) |
0.249470 | + | 0.968382i | \(0.419743\pi\) | |||||||
\(744\) | 0.116510 | + | 2.53433i | 0.00427147 | + | 0.0929129i | ||||
\(745\) | 5.58069 | + | 3.22201i | 0.204461 | + | 0.118045i | ||||
\(746\) | −5.57782 | + | 5.57782i | −0.204219 | + | 0.204219i | ||||
\(747\) | 22.3214 | − | 26.8522i | 0.816696 | − | 0.982472i | ||||
\(748\) | −0.844533 | − | 3.15184i | −0.0308792 | − | 0.115243i | ||||
\(749\) | 2.75341 | + | 2.75341i | 0.100607 | + | 0.100607i | ||||
\(750\) | 4.05885 | + | 6.33879i | 0.148208 | + | 0.231460i | ||||
\(751\) | −15.4295 | + | 8.90822i | −0.563030 | + | 0.325065i | −0.754361 | − | 0.656460i | \(-0.772053\pi\) |
0.191331 | + | 0.981526i | \(0.438720\pi\) | |||||||
\(752\) | 1.36088 | − | 5.07887i | 0.0496262 | − | 0.185207i | ||||
\(753\) | −3.55874 | + | 6.87496i | −0.129688 | + | 0.250537i | ||||
\(754\) | 10.4916 | + | 10.5680i | 0.382081 | + | 0.384863i | ||||
\(755\) | − | 4.01433i | − | 0.146096i | ||||||
\(756\) | 0.185173 | − | 1.48594i | 0.00673469 | − | 0.0540431i | ||||
\(757\) | −12.3906 | − | 21.4612i | −0.450345 | − | 0.780020i | 0.548062 | − | 0.836438i | \(-0.315366\pi\) |
−0.998407 | + | 0.0564171i | \(0.982032\pi\) | |||||||
\(758\) | −0.930981 | + | 1.61251i | −0.0338148 | + | 0.0585689i | ||||
\(759\) | 6.40009 | − | 2.03419i | 0.232308 | − | 0.0738363i | ||||
\(760\) | −3.01041 | + | 0.806638i | −0.109199 | + | 0.0292598i | ||||
\(761\) | 14.6883 | − | 3.93572i | 0.532451 | − | 0.142670i | 0.0174313 | − | 0.999848i | \(-0.494451\pi\) |
0.515020 | + | 0.857178i | \(0.327785\pi\) | |||||||
\(762\) | 0.398562 | − | 0.126678i | 0.0144384 | − | 0.00458905i | ||||
\(763\) | 0.420159 | − | 0.727738i | 0.0152108 | − | 0.0263459i | ||||
\(764\) | 3.33787 | + | 5.78136i | 0.120760 | + | 0.209162i | ||||
\(765\) | −2.57845 | − | 6.98378i | −0.0932239 | − | 0.252499i | ||||
\(766\) | 2.88048i | 0.104076i | ||||||||
\(767\) | −8.65515 | − | 8.71816i | −0.312519 | − | 0.314794i | ||||
\(768\) | −0.796225 | + | 1.53819i | −0.0287313 | + | 0.0555046i | ||||
\(769\) | 4.74330 | − | 17.7022i | 0.171048 | − | 0.638359i | −0.826143 | − | 0.563460i | \(-0.809470\pi\) |
0.997191 | − | 0.0748992i | \(-0.0238635\pi\) | |||||||
\(770\) | 0.0644835 | − | 0.0372295i | 0.00232382 | − | 0.00134166i | ||||
\(771\) | 11.1597 | + | 17.4284i | 0.401907 | + | 0.627667i | ||||
\(772\) | 4.30947 | + | 4.30947i | 0.155101 | + | 0.155101i | ||||
\(773\) | 8.71254 | + | 32.5156i | 0.313368 | + | 1.16951i | 0.925499 | + | 0.378750i | \(0.123646\pi\) |
−0.612131 | + | 0.790757i | \(0.709687\pi\) | |||||||
\(774\) | 8.69229 | + | 7.22561i | 0.312438 | + | 0.259719i | ||||
\(775\) | 4.97512 | − | 4.97512i | 0.178712 | − | 0.178712i | ||||
\(776\) | −2.32433 | − | 1.34195i | −0.0834385 | − | 0.0481732i | ||||
\(777\) | −0.159510 | − | 3.46967i | −0.00572240 | − | 0.124474i | ||||
\(778\) | −22.6208 | − | 6.06121i | −0.810993 | − | 0.217305i | ||||
\(779\) | −53.6443 | −1.92201 | ||||||||
\(780\) | 2.03851 | + | 1.87290i | 0.0729903 | + | 0.0670607i | ||||
\(781\) | −8.96837 | −0.320914 | ||||||||
\(782\) | −35.9693 | − | 9.63796i | −1.28626 | − | 0.344653i | ||||
\(783\) | 16.9352 | − | 13.1821i | 0.605216 | − | 0.471089i | ||||
\(784\) | 5.99026 | + | 3.45848i | 0.213938 | + | 0.123517i | ||||
\(785\) | 3.20112 | − | 3.20112i | 0.114253 | − | 0.114253i | ||||
\(786\) | 3.00140 | − | 13.6878i | 0.107057 | − | 0.488229i | ||||
\(787\) | −2.43856 | − | 9.10084i | −0.0869253 | − | 0.324410i | 0.908746 | − | 0.417349i | \(-0.137041\pi\) |
−0.995672 | + | 0.0929388i | \(0.970374\pi\) | |||||||
\(788\) | 10.4569 | + | 10.4569i | 0.372511 | + | 0.372511i | ||||
\(789\) | 4.01304 | − | 2.56962i | 0.142868 | − | 0.0914810i | ||||
\(790\) | 0.425679 | − | 0.245766i | 0.0151450 | − | 0.00874397i | ||||
\(791\) | −0.776944 | + | 2.89959i | −0.0276249 | + | 0.103098i | ||||
\(792\) | 1.42775 | − | 1.00957i | 0.0507330 | − | 0.0358736i | ||||
\(793\) | 37.8980 | + | 0.137455i | 1.34580 | + | 0.00488116i | ||||
\(794\) | − | 18.4077i | − | 0.653266i | ||||||
\(795\) | 2.06924 | + | 1.88735i | 0.0733886 | + | 0.0669374i | ||||
\(796\) | 7.74017 | + | 13.4064i | 0.274343 | + | 0.475176i | ||||
\(797\) | 23.4250 | − | 40.5734i | 0.829757 | − | 1.43718i | −0.0684710 | − | 0.997653i | \(-0.521812\pi\) |
0.898228 | − | 0.439529i | \(-0.144855\pi\) | |||||||
\(798\) | −1.06302 | − | 3.34453i | −0.0376304 | − | 0.118395i | ||||
\(799\) | 28.4322 | − | 7.61838i | 1.00586 | − | 0.269519i | ||||
\(800\) | 4.63983 | − | 1.24324i | 0.164043 | − | 0.0439551i | ||||
\(801\) | −7.14407 | + | 41.6387i | −0.252423 | + | 1.47123i | ||||
\(802\) | −3.39248 | + | 5.87594i | −0.119792 | + | 0.207487i | ||||
\(803\) | 1.45101 | + | 2.51322i | 0.0512050 | + | 0.0886896i | ||||
\(804\) | 10.3338 | − | 11.3297i | 0.364445 | − | 0.399569i | ||||
\(805\) | − | 0.849740i | − | 0.0299494i | ||||||
\(806\) | 2.65717 | − | 4.56404i | 0.0935948 | − | 0.160761i | ||||
\(807\) | −9.59871 | − | 4.96866i | −0.337891 | − | 0.174905i | ||||
\(808\) | −3.68574 | + | 13.7554i | −0.129664 | + | 0.483912i | ||||
\(809\) | 35.1892 | − | 20.3165i | 1.23719 | − | 0.714289i | 0.268667 | − | 0.963233i | \(-0.413417\pi\) |
0.968518 | + | 0.248944i | \(0.0800835\pi\) | |||||||
\(810\) | 3.03233 | − | 2.59249i | 0.106545 | − | 0.0910909i | ||||
\(811\) | 16.5531 | + | 16.5531i | 0.581257 | + | 0.581257i | 0.935249 | − | 0.353992i | \(-0.115176\pi\) |
−0.353992 | + | 0.935249i | \(0.615176\pi\) | |||||||
\(812\) | −0.308054 | − | 1.14967i | −0.0108106 | − | 0.0403457i | ||||
\(813\) | −37.8431 | − | 8.29806i | −1.32722 | − | 0.291026i | ||||
\(814\) | 2.86802 | − | 2.86802i | 0.100524 | − | 0.100524i | ||||
\(815\) | 5.32844 | + | 3.07638i | 0.186647 | + | 0.107761i | ||||
\(816\) | −9.68602 | + | 0.445293i | −0.339078 | + | 0.0155884i | ||||
\(817\) | 25.5880 | + | 6.85628i | 0.895210 | + | 0.239871i | ||||
\(818\) | 29.2874 | 1.02401 | ||||||||
\(819\) | −2.00131 | + | 2.38986i | −0.0699314 | + | 0.0835083i | ||||
\(820\) | −3.38214 | −0.118109 | ||||||||
\(821\) | −3.40155 | − | 0.911442i | −0.118715 | − | 0.0318095i | 0.198972 | − | 0.980005i | \(-0.436240\pi\) |
−0.317687 | + | 0.948196i | \(0.602906\pi\) | |||||||
\(822\) | −0.143100 | + | 0.00657873i | −0.00499120 | + | 0.000229459i | ||||
\(823\) | 8.97945 | + | 5.18429i | 0.313004 | + | 0.180713i | 0.648270 | − | 0.761411i | \(-0.275493\pi\) |
−0.335266 | + | 0.942124i | \(0.608826\pi\) | |||||||
\(824\) | 3.25908 | − | 3.25908i | 0.113535 | − | 0.113535i | ||||
\(825\) | −4.73695 | − | 1.03870i | −0.164919 | − | 0.0361627i | ||||
\(826\) | 0.254133 | + | 0.948436i | 0.00884240 | + | 0.0330003i | ||||
\(827\) | 5.61338 | + | 5.61338i | 0.195196 | + | 0.195196i | 0.797937 | − | 0.602741i | \(-0.205925\pi\) |
−0.602741 | + | 0.797937i | \(0.705925\pi\) | |||||||
\(828\) | −1.83097 | − | 19.8715i | −0.0636306 | − | 0.690583i | ||||
\(829\) | −1.76277 | + | 1.01774i | −0.0612237 | + | 0.0353475i | −0.530299 | − | 0.847810i | \(-0.677920\pi\) |
0.469076 | + | 0.883158i | \(0.344587\pi\) | |||||||
\(830\) | 1.33537 | − | 4.98369i | 0.0463515 | − | 0.172986i | ||||
\(831\) | −8.61135 | − | 4.45757i | −0.298725 | − | 0.154631i | ||||
\(832\) | 3.12902 | − | 1.79144i | 0.108479 | − | 0.0621070i | ||||
\(833\) | 38.7220i | 1.34164i | ||||||||
\(834\) | −7.28507 | + | 7.98718i | −0.252261 | + | 0.276573i | ||||
\(835\) | −2.97257 | − | 5.14864i | −0.102870 | − | 0.178176i | ||||
\(836\) | 2.04906 | − | 3.54907i | 0.0708681 | − | 0.122747i | ||||
\(837\) | −6.07015 | − | 4.59138i | −0.209815 | − | 0.158701i | ||||
\(838\) | 8.92727 | − | 2.39205i | 0.308387 | − | 0.0826322i | ||||
\(839\) | 15.0893 | − | 4.04316i | 0.520940 | − | 0.139585i | 0.0112385 | − | 0.999937i | \(-0.496423\pi\) |
0.509701 | + | 0.860351i | \(0.329756\pi\) | |||||||
\(840\) | −0.0670206 | − | 0.210865i | −0.00231243 | − | 0.00727552i | ||||
\(841\) | −5.97094 | + | 10.3420i | −0.205894 | + | 0.356620i | ||||
\(842\) | 13.0454 | + | 22.5953i | 0.449575 | + | 0.778686i | ||||
\(843\) | 15.9779 | + | 14.5734i | 0.550308 | + | 0.501933i | ||||
\(844\) | − | 18.8144i | − | 0.647619i | ||||||
\(845\) | −1.45105 | − | 5.57692i | −0.0499178 | − | 0.191852i | ||||
\(846\) | 9.10718 | + | 12.8795i | 0.313111 | + | 0.442806i | ||||
\(847\) | 0.795114 | − | 2.96740i | 0.0273204 | − | 0.101961i | ||||
\(848\) | 3.15907 | − | 1.82389i | 0.108483 | − | 0.0626327i | ||||
\(849\) | −10.0044 | + | 6.40603i | −0.343352 | + | 0.219854i | ||||
\(850\) | 19.0146 | + | 19.0146i | 0.652194 | + | 0.652194i | ||||
\(851\) | −11.9802 | − | 44.7105i | −0.410674 | − | 1.53266i | ||||
\(852\) | −5.70807 | + | 26.0315i | −0.195555 | + | 0.891825i | ||||
\(853\) | 21.4461 | − | 21.4461i | 0.734300 | − | 0.734300i | −0.237168 | − | 0.971469i | \(-0.576219\pi\) |
0.971469 | + | 0.237168i | \(0.0762193\pi\) | |||||||
\(854\) | −2.62327 | − | 1.51455i | −0.0897665 | − | 0.0518267i | ||||
\(855\) | 3.91226 | − | 8.49196i | 0.133797 | − | 0.290419i | ||||
\(856\) | 13.0516 | + | 3.49716i | 0.446094 | + | 0.119531i | ||||
\(857\) | −17.8872 | −0.611017 | −0.305508 | − | 0.952189i | \(-0.598826\pi\) | ||||
−0.305508 | + | 0.952189i | \(0.598826\pi\) | |||||||
\(858\) | −3.63681 | + | 0.153978i | −0.124159 | + | 0.00525673i | ||||
\(859\) | −1.29875 | −0.0443127 | −0.0221564 | − | 0.999755i | \(-0.507053\pi\) | ||||
−0.0221564 | + | 0.999755i | \(0.507053\pi\) | |||||||
\(860\) | 1.61326 | + | 0.432272i | 0.0550117 | + | 0.0147403i | ||||
\(861\) | −0.174898 | − | 3.80438i | −0.00596051 | − | 0.129653i | ||||
\(862\) | 19.3674 | + | 11.1818i | 0.659656 | + | 0.380853i | ||||
\(863\) | −15.1285 | + | 15.1285i | −0.514979 | + | 0.514979i | −0.916048 | − | 0.401069i | \(-0.868639\pi\) |
0.401069 | + | 0.916048i | \(0.368639\pi\) | |||||||
\(864\) | −2.02166 | − | 4.78674i | −0.0687783 | − | 0.162848i | ||||
\(865\) | −0.126454 | − | 0.471931i | −0.00429955 | − | 0.0160461i | ||||
\(866\) | −2.79168 | − | 2.79168i | −0.0948652 | − | 0.0948652i | ||||
\(867\) | −13.3927 | − | 20.9156i | −0.454838 | − | 0.710331i | ||||
\(868\) | −0.365558 | + | 0.211055i | −0.0124079 | + | 0.00716368i | ||||
\(869\) | −0.167282 | + | 0.624307i | −0.00567467 | + | 0.0211781i | ||||
\(870\) | 1.45773 | − | 2.81612i | 0.0494216 | − | 0.0954753i | ||||
\(871\) | −30.8636 | + | 8.15001i | −1.04577 | + | 0.276153i | ||||
\(872\) | − | 2.91594i | − | 0.0987462i | ||||||
\(873\) | 7.55334 | − | 2.78873i | 0.255642 | − | 0.0943842i | ||||
\(874\) | −23.3842 | − | 40.5026i | −0.790983 | − | 1.37002i | ||||
\(875\) | −0.626170 | + | 1.08456i | −0.0211684 | + | 0.0366647i | ||||
\(876\) | 8.21837 | − | 2.61210i | 0.277673 | − | 0.0882548i | ||||
\(877\) | 21.4896 | − | 5.75813i | 0.725654 | − | 0.194438i | 0.122961 | − | 0.992412i | \(-0.460761\pi\) |
0.602693 | + | 0.797973i | \(0.294094\pi\) | |||||||
\(878\) | −17.6861 | + | 4.73898i | −0.596877 | + | 0.159933i | ||||
\(879\) | −45.1549 | + | 14.3519i | −1.52304 | + | 0.484077i | ||||
\(880\) | 0.129188 | − | 0.223760i | 0.00435493 | − | 0.00754296i | ||||
\(881\) | 10.2514 | + | 17.7560i | 0.345379 | + | 0.598214i | 0.985423 | − | 0.170125i | \(-0.0544171\pi\) |
−0.640044 | + | 0.768338i | \(0.721084\pi\) | |||||||
\(882\) | −19.4665 | + | 7.18711i | −0.655470 | + | 0.242003i | ||||
\(883\) | − | 27.7709i | − | 0.934566i | −0.884108 | − | 0.467283i | \(-0.845233\pi\) | ||
0.884108 | − | 0.467283i | \(-0.154767\pi\) | |||||||
\(884\) | 17.4434 | + | 10.1555i | 0.586686 | + | 0.341567i | ||||
\(885\) | −1.20257 | + | 2.32318i | −0.0404239 | + | 0.0780929i | ||||
\(886\) | 1.51764 | − | 5.66391i | 0.0509861 | − | 0.190283i | ||||
\(887\) | −11.4360 | + | 6.60256i | −0.383982 | + | 0.221692i | −0.679549 | − | 0.733630i | \(-0.737825\pi\) |
0.295567 | + | 0.955322i | \(0.404491\pi\) | |||||||
\(888\) | −6.49930 | − | 10.1501i | −0.218102 | − | 0.340615i | ||||
\(889\) | 0.0492020 | + | 0.0492020i | 0.00165018 | + | 0.00165018i | ||||
\(890\) | 1.61565 | + | 6.02968i | 0.0541567 | + | 0.202115i | ||||
\(891\) | −0.408961 | + | 5.22993i | −0.0137007 | + | 0.175209i | ||||
\(892\) | −5.08804 | + | 5.08804i | −0.170360 | + | 0.170360i | ||||
\(893\) | 32.0156 | + | 18.4842i | 1.07136 | + | 0.618550i | ||||
\(894\) | 1.15634 | + | 25.1527i | 0.0386738 | + | 0.841231i | ||||
\(895\) | 2.39586 | + | 0.641969i | 0.0800848 | + | 0.0214587i | ||||
\(896\) | −0.288181 | −0.00962745 | ||||||||
\(897\) | −19.2302 | + | 36.8221i | −0.642076 | + | 1.22945i | ||||
\(898\) | −28.5045 | −0.951207 | ||||||||
\(899\) | −5.84346 | − | 1.56575i | −0.194890 | − | 0.0522207i | ||||
\(900\) | −6.02982 | + | 13.0883i | −0.200994 | + | 0.436278i | ||||
\(901\) | 17.6849 | + | 10.2104i | 0.589170 | + | 0.340157i | ||||
\(902\) | 3.14469 | − | 3.14469i | 0.104707 | − | 0.104707i | ||||
\(903\) | −0.402813 | + | 1.83702i | −0.0134048 | + | 0.0611322i | ||||
\(904\) | 2.69603 | + | 10.0617i | 0.0896685 | + | 0.334648i | ||||
\(905\) | 4.53514 | + | 4.53514i | 0.150753 | + | 0.150753i | ||||
\(906\) | 13.2095 | − | 8.45831i | 0.438857 | − | 0.281009i | ||||
\(907\) | −24.2160 | + | 13.9811i | −0.804079 | + | 0.464235i | −0.844895 | − | 0.534932i | \(-0.820337\pi\) |
0.0408168 | + | 0.999167i | \(0.487004\pi\) | |||||||
\(908\) | 1.38733 | − | 5.17758i | 0.0460401 | − | 0.171824i | ||||
\(909\) | −24.6655 | − | 34.8822i | −0.818101 | − | 1.15697i | ||||
\(910\) | −0.120822 | + | 0.444458i | −0.00400520 | + | 0.0147336i | ||||
\(911\) | − | 33.2713i | − | 1.10233i | −0.834397 | − | 0.551164i | \(-0.814184\pi\) | ||
0.834397 | − | 0.551164i | \(-0.185816\pi\) | |||||||
\(912\) | −8.99735 | − | 8.20644i | −0.297932 | − | 0.271743i | ||||
\(913\) | 3.39218 | + | 5.87543i | 0.112265 | + | 0.194448i | ||||
\(914\) | 9.58495 | − | 16.6016i | 0.317042 | − | 0.549133i | ||||
\(915\) | −2.44450 | − | 7.69105i | −0.0808127 | − | 0.254258i | ||||
\(916\) | −11.2676 | + | 3.01915i | −0.372292 | + | 0.0997554i | ||||
\(917\) | 2.25207 | − | 0.603439i | 0.0743697 | − | 0.0199273i | ||||
\(918\) | 17.5479 | − | 23.1997i | 0.579168 | − | 0.765703i | ||||
\(919\) | −7.21868 | + | 12.5031i | −0.238122 | + | 0.412440i | −0.960175 | − | 0.279398i | \(-0.909865\pi\) |
0.722053 | + | 0.691837i | \(0.243199\pi\) | |||||||
\(920\) | −1.47432 | − | 2.55359i | −0.0486068 | − | 0.0841894i | ||||
\(921\) | −25.5639 | + | 28.0276i | −0.842358 | + | 0.923542i | ||||
\(922\) | − | 29.6500i | − | 0.976471i | ||||||
\(923\) | 39.3698 | − | 39.0852i | 1.29587 | − | 1.28650i | ||||
\(924\) | 0.258376 | + | 0.133745i | 0.00849995 | + | 0.00439990i | ||||
\(925\) | −8.65117 | + | 32.2866i | −0.284449 | + | 1.06158i | ||||
\(926\) | −22.3582 | + | 12.9085i | −0.734736 | + | 0.424200i | ||||
\(927\) | 1.26866 | + | 13.7688i | 0.0416682 | + | 0.452226i | ||||
\(928\) | −2.92046 | − | 2.92046i | −0.0958687 | − | 0.0958687i | ||||
\(929\) | −3.64463 | − | 13.6019i | −0.119576 | − | 0.446265i | 0.880012 | − | 0.474951i | \(-0.157534\pi\) |
−0.999588 | + | 0.0286860i | \(0.990868\pi\) | |||||||
\(930\) | −1.09850 | − | 0.240873i | −0.0360211 | − | 0.00789854i | ||||
\(931\) | −34.3880 | + | 34.3880i | −1.12702 | + | 1.12702i | ||||
\(932\) | 8.26849 | + | 4.77382i | 0.270844 | + | 0.156372i | ||||
\(933\) | −55.0233 | + | 2.52957i | −1.80138 | + | 0.0828145i | ||||
\(934\) | −31.3400 | − | 8.39753i | −1.02548 | − | 0.274776i | ||||
\(935\) | 1.44642 | 0.0473031 | ||||||||
\(936\) | −1.86777 | + | 10.6542i | −0.0610500 | + | 0.348243i | ||||
\(937\) | 25.6098 | 0.836635 | 0.418317 | − | 0.908301i | \(-0.362620\pi\) | ||||
0.418317 | + | 0.908301i | \(0.362620\pi\) | |||||||
\(938\) | 2.46446 | + | 0.660349i | 0.0804674 | + | 0.0215612i | ||||
\(939\) | −41.0796 | + | 1.88854i | −1.34058 | + | 0.0616303i | ||||
\(940\) | 2.01850 | + | 1.16538i | 0.0658363 | + | 0.0380106i | ||||
\(941\) | 24.7798 | − | 24.7798i | 0.807800 | − | 0.807800i | −0.176501 | − | 0.984300i | \(-0.556478\pi\) |
0.984300 | + | 0.176501i | \(0.0564779\pi\) | |||||||
\(942\) | 17.2785 | + | 3.78874i | 0.562963 | + | 0.123444i | ||||
\(943\) | −13.1359 | − | 49.0237i | −0.427762 | − | 1.59643i | ||||
\(944\) | 2.40926 | + | 2.40926i | 0.0784147 | + | 0.0784147i | ||||
\(945\) | 0.614994 | + | 0.249766i | 0.0200058 | + | 0.00812488i | ||||
\(946\) | −1.90192 | + | 1.09808i | −0.0618369 | + | 0.0357015i | ||||
\(947\) | 2.97658 | − | 11.1087i | 0.0967258 | − | 0.360986i | −0.900550 | − | 0.434753i | \(-0.856836\pi\) |
0.997275 | + | 0.0737675i | \(0.0235023\pi\) | |||||||
\(948\) | 1.70564 | + | 0.882903i | 0.0553965 | + | 0.0286753i | ||||
\(949\) | −17.3226 | − | 4.70898i | −0.562316 | − | 0.152860i | ||||
\(950\) | 33.7727i | 1.09573i | ||||||||
\(951\) | −27.8860 | + | 30.5735i | −0.904265 | + | 0.991414i | ||||
\(952\) | −0.806638 | − | 1.39714i | −0.0261433 | − | 0.0452815i | ||||
\(953\) | −24.2758 | + | 42.0469i | −0.786370 | + | 1.36203i | 0.141807 | + | 0.989894i | \(0.454709\pi\) |
−0.928177 | + | 0.372139i | \(0.878624\pi\) | |||||||
\(954\) | −1.85054 | + | 10.7858i | −0.0599135 | + | 0.349202i | ||||
\(955\) | −2.85837 | + | 0.765897i | −0.0924946 | + | 0.0247838i | ||||
\(956\) | 28.1914 | − | 7.55387i | 0.911775 | − | 0.244309i | ||||
\(957\) | 1.26302 | + | 3.97380i | 0.0408277 | + | 0.128455i | ||||
\(958\) | −4.14520 | + | 7.17970i | −0.133925 | + | 0.231966i | ||||
\(959\) | −0.0119172 | − | 0.0206412i | −0.000384826 | − | 0.000666539i | ||||
\(960\) | −0.567261 | − | 0.517396i | −0.0183083 | − | 0.0166989i | ||||
\(961\) | − | 28.8545i | − | 0.930792i | ||||||
\(962\) | −0.0909982 | + | 25.0893i | −0.00293390 | + | 0.808913i | ||||
\(963\) | −33.0975 | + | 23.4035i | −1.06655 | + | 0.754167i | ||||
\(964\) | 2.88685 | − | 10.7739i | 0.0929792 | − | 0.347003i | ||||
\(965\) | −2.33962 | + | 1.35078i | −0.0753150 | + | 0.0434831i | ||||
\(966\) | 2.79615 | − | 1.79043i | 0.0899648 | − | 0.0576061i | ||||
\(967\) | 15.4257 | + | 15.4257i | 0.496058 | + | 0.496058i | 0.910209 | − | 0.414150i | \(-0.135921\pi\) |
−0.414150 | + | 0.910209i | \(0.635921\pi\) | |||||||
\(968\) | −2.75908 | − | 10.2970i | −0.0886801 | − | 0.330959i | ||||
\(969\) | 14.6017 | − | 66.5906i | 0.469073 | − | 2.13920i | ||||
\(970\) | 0.841253 | − | 0.841253i | 0.0270110 | − | 0.0270110i | ||||
\(971\) | −6.63550 | − | 3.83101i | −0.212943 | − | 0.122943i | 0.389735 | − | 0.920927i | \(-0.372567\pi\) |
−0.602679 | + | 0.797984i | \(0.705900\pi\) | |||||||
\(972\) | 14.9201 | + | 4.51572i | 0.478561 | + | 0.144842i | ||||
\(973\) | −1.73738 | − | 0.465530i | −0.0556979 | − | 0.0149242i | ||||
\(974\) | 32.1307 | 1.02953 | ||||||||
\(975\) | 25.3212 | − | 16.0844i | 0.810928 | − | 0.515115i | ||||
\(976\) | −10.5111 | −0.336451 | ||||||||
\(977\) | 19.4850 | + | 5.22099i | 0.623381 | + | 0.167034i | 0.556664 | − | 0.830738i | \(-0.312081\pi\) |
0.0667166 | + | 0.997772i | \(0.478748\pi\) | |||||||
\(978\) | 1.10407 | + | 24.0158i | 0.0353044 | + | 0.767940i | ||||
\(979\) | −7.10859 | − | 4.10415i | −0.227191 | − | 0.131169i | ||||
\(980\) | −2.16808 | + | 2.16808i | −0.0692567 | + | 0.0692567i | ||||
\(981\) | 6.72710 | + | 5.59201i | 0.214780 | + | 0.178539i | ||||
\(982\) | −6.83797 | − | 25.5197i | −0.218209 | − | 0.814365i | ||||
\(983\) | 0.922992 | + | 0.922992i | 0.0294389 | + | 0.0294389i | 0.721673 | − | 0.692234i | \(-0.243373\pi\) |
−0.692234 | + | 0.721673i | \(0.743373\pi\) | |||||||
\(984\) | −7.12627 | − | 11.1293i | −0.227177 | − | 0.354788i | ||||
\(985\) | −5.67705 | + | 3.27765i | −0.180886 | + | 0.104435i | ||||
\(986\) | 5.98418 | − | 22.3333i | 0.190575 | − | 0.711236i | ||||
\(987\) | −1.20649 | + | 2.33077i | −0.0384031 | + | 0.0741891i | ||||
\(988\) | 6.47222 | + | 24.5099i | 0.205909 | + | 0.779764i | ||||
\(989\) | 25.0629i | 0.796953i | ||||||||
\(990\) | 0.268468 | + | 0.727151i | 0.00853246 | + | 0.0231104i | ||||
\(991\) | −10.2983 | − | 17.8371i | −0.327135 | − | 0.566614i | 0.654807 | − | 0.755796i | \(-0.272750\pi\) |
−0.981942 | + | 0.189182i | \(0.939416\pi\) | |||||||
\(992\) | −0.732370 | + | 1.26850i | −0.0232528 | + | 0.0402750i | ||||
\(993\) | 27.2159 | − | 8.65024i | 0.863672 | − | 0.274507i | ||||
\(994\) | −4.28298 | + | 1.14762i | −0.135848 | + | 0.0364003i | ||||
\(995\) | −6.62826 | + | 1.77604i | −0.210130 | + | 0.0563041i | ||||
\(996\) | 19.2130 | − | 6.10660i | 0.608786 | − | 0.193495i | ||||
\(997\) | 16.0894 | − | 27.8677i | 0.509558 | − | 0.882580i | −0.490381 | − | 0.871508i | \(-0.663142\pi\) |
0.999939 | − | 0.0110718i | \(-0.00352433\pi\) | |||||||
\(998\) | 6.55790 | + | 11.3586i | 0.207587 | + | 0.359551i | ||||
\(999\) | 35.8803 | + | 4.47130i | 1.13520 | + | 0.141466i |
(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 | 78.2.k.a.11.2 | ✓ | 16 | |
3.2 | odd | 2 | inner | 78.2.k.a.11.3 | yes | 16 | |
4.3 | odd | 2 | 624.2.cn.d.401.1 | 16 | |||
12.11 | even | 2 | 624.2.cn.d.401.3 | 16 | |||
13.2 | odd | 12 | 1014.2.g.c.239.2 | 16 | |||
13.3 | even | 3 | 1014.2.g.c.437.6 | 16 | |||
13.6 | odd | 12 | inner | 78.2.k.a.71.3 | yes | 16 | |
13.10 | even | 6 | 1014.2.g.d.437.2 | 16 | |||
13.11 | odd | 12 | 1014.2.g.d.239.6 | 16 | |||
39.2 | even | 12 | 1014.2.g.c.239.6 | 16 | |||
39.11 | even | 12 | 1014.2.g.d.239.2 | 16 | |||
39.23 | odd | 6 | 1014.2.g.d.437.6 | 16 | |||
39.29 | odd | 6 | 1014.2.g.c.437.2 | 16 | |||
39.32 | even | 12 | inner | 78.2.k.a.71.2 | yes | 16 | |
52.19 | even | 12 | 624.2.cn.d.305.3 | 16 | |||
156.71 | odd | 12 | 624.2.cn.d.305.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
78.2.k.a.11.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
78.2.k.a.11.3 | yes | 16 | 3.2 | odd | 2 | inner | |
78.2.k.a.71.2 | yes | 16 | 39.32 | even | 12 | inner | |
78.2.k.a.71.3 | yes | 16 | 13.6 | odd | 12 | inner | |
624.2.cn.d.305.1 | 16 | 156.71 | odd | 12 | |||
624.2.cn.d.305.3 | 16 | 52.19 | even | 12 | |||
624.2.cn.d.401.1 | 16 | 4.3 | odd | 2 | |||
624.2.cn.d.401.3 | 16 | 12.11 | even | 2 | |||
1014.2.g.c.239.2 | 16 | 13.2 | odd | 12 | |||
1014.2.g.c.239.6 | 16 | 39.2 | even | 12 | |||
1014.2.g.c.437.2 | 16 | 39.29 | odd | 6 | |||
1014.2.g.c.437.6 | 16 | 13.3 | even | 3 | |||
1014.2.g.d.239.2 | 16 | 39.11 | even | 12 | |||
1014.2.g.d.239.6 | 16 | 13.11 | odd | 12 | |||
1014.2.g.d.437.2 | 16 | 13.10 | even | 6 | |||
1014.2.g.d.437.6 | 16 | 39.23 | odd | 6 |