Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [266,2,Mod(43,266)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(266, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("266.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 266 = 2 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 266.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.12402069377\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 99.1 | ||
Character | \(\chi\) | \(=\) | 266.99 |
Dual form | 266.2.u.d.43.1 |
$q$-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 \(\left(\mathbb{Z}/266\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −0.557269 | − | 3.16043i | −0.321740 | − | 1.82468i | −0.531661 | − | 0.846957i | \(-0.678432\pi\) |
0.209921 | − | 0.977718i | \(-0.432679\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 2.10162 | − | 1.76347i | 0.939875 | − | 0.788649i | −0.0376888 | − | 0.999290i | \(-0.512000\pi\) |
0.977563 | + | 0.210641i | \(0.0675551\pi\) | |||||||
\(6\) | 0.557269 | − | 3.16043i | 0.227504 | − | 1.29024i | ||||
\(7\) | −0.500000 | + | 0.866025i | −0.188982 | + | 0.327327i | ||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −6.85870 | + | 2.49636i | −2.28623 | + | 0.832120i | ||||
\(10\) | 2.57802 | − | 0.938324i | 0.815243 | − | 0.296724i | ||||
\(11\) | 1.99320 | + | 3.45232i | 0.600971 | + | 1.04091i | 0.992674 | + | 0.120821i | \(0.0385526\pi\) |
−0.391703 | + | 0.920092i | \(0.628114\pi\) | |||||||
\(12\) | 1.60459 | − | 2.77924i | 0.463206 | − | 0.802296i | ||||
\(13\) | 0.806078 | − | 4.57149i | 0.223566 | − | 1.26790i | −0.641843 | − | 0.766836i | \(-0.721830\pi\) |
0.865408 | − | 0.501068i | \(-0.167059\pi\) | |||||||
\(14\) | −0.766044 | + | 0.642788i | −0.204734 | + | 0.171792i | ||||
\(15\) | −6.74450 | − | 5.65931i | −1.74142 | − | 1.46123i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −4.90965 | − | 1.78697i | −1.19076 | − | 0.433403i | −0.330773 | − | 0.943710i | \(-0.607309\pi\) |
−0.859992 | + | 0.510308i | \(0.829532\pi\) | |||||||
\(18\) | −7.29887 | −1.72036 | ||||||||
\(19\) | 0.0418625 | + | 4.35870i | 0.00960392 | + | 0.999954i | ||||
\(20\) | 2.74348 | 0.613460 | ||||||||
\(21\) | 3.01565 | + | 1.09761i | 0.658068 | + | 0.239517i | ||||
\(22\) | 0.692229 | + | 3.92583i | 0.147584 | + | 0.836989i | ||||
\(23\) | 0.398698 | + | 0.334548i | 0.0831344 | + | 0.0697580i | 0.683408 | − | 0.730037i | \(-0.260497\pi\) |
−0.600273 | + | 0.799795i | \(0.704942\pi\) | |||||||
\(24\) | 2.45838 | − | 2.06282i | 0.501814 | − | 0.421072i | ||||
\(25\) | 0.438749 | − | 2.48827i | 0.0877498 | − | 0.497654i | ||||
\(26\) | 2.32101 | − | 4.02010i | 0.455187 | − | 0.788407i | ||||
\(27\) | 6.89794 | + | 11.9476i | 1.32751 | + | 2.29931i | ||||
\(28\) | −0.939693 | + | 0.342020i | −0.177585 | + | 0.0646357i | ||||
\(29\) | 5.48426 | − | 1.99611i | 1.01840 | − | 0.370668i | 0.221748 | − | 0.975104i | \(-0.428824\pi\) |
0.796653 | + | 0.604436i | \(0.206602\pi\) | |||||||
\(30\) | −4.40216 | − | 7.62477i | −0.803721 | − | 1.39209i | ||||
\(31\) | −0.692488 | + | 1.19942i | −0.124374 | + | 0.215423i | −0.921488 | − | 0.388406i | \(-0.873026\pi\) |
0.797114 | + | 0.603829i | \(0.206359\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 9.80006 | − | 8.22323i | 1.70597 | − | 1.43148i | ||||
\(34\) | −4.00238 | − | 3.35840i | −0.686403 | − | 0.575960i | ||||
\(35\) | 0.476399 | + | 2.70180i | 0.0805262 | + | 0.456687i | ||||
\(36\) | −6.85870 | − | 2.49636i | −1.14312 | − | 0.416060i | ||||
\(37\) | 9.44185 | 1.55223 | 0.776115 | − | 0.630591i | \(-0.217188\pi\) | ||||
0.776115 | + | 0.630591i | \(0.217188\pi\) | |||||||
\(38\) | −1.45142 | + | 4.11015i | −0.235452 | + | 0.666755i | ||||
\(39\) | −14.8971 | −2.38544 | ||||||||
\(40\) | 2.57802 | + | 0.938324i | 0.407621 | + | 0.148362i | ||||
\(41\) | 1.63279 | + | 9.25999i | 0.254998 | + | 1.44617i | 0.796077 | + | 0.605196i | \(0.206905\pi\) |
−0.541078 | + | 0.840972i | \(0.681984\pi\) | |||||||
\(42\) | 2.45838 | + | 2.06282i | 0.379336 | + | 0.318301i | ||||
\(43\) | 1.95830 | − | 1.64321i | 0.298638 | − | 0.250587i | −0.481139 | − | 0.876644i | \(-0.659777\pi\) |
0.779777 | + | 0.626057i | \(0.215332\pi\) | |||||||
\(44\) | −0.692229 | + | 3.92583i | −0.104358 | + | 0.591841i | ||||
\(45\) | −10.0121 | + | 17.3415i | −1.49252 | + | 2.58512i | ||||
\(46\) | 0.260232 | + | 0.450735i | 0.0383691 | + | 0.0664572i | ||||
\(47\) | −4.48234 | + | 1.63144i | −0.653817 | + | 0.237970i | −0.647564 | − | 0.762011i | \(-0.724212\pi\) |
−0.00625219 | + | 0.999980i | \(0.501990\pi\) | |||||||
\(48\) | 3.01565 | − | 1.09761i | 0.435271 | − | 0.158426i | ||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | 1.26333 | − | 2.18815i | 0.178662 | − | 0.309451i | ||||
\(51\) | −2.91159 | + | 16.5124i | −0.407704 | + | 2.31220i | ||||
\(52\) | 3.55599 | − | 2.98383i | 0.493127 | − | 0.413783i | ||||
\(53\) | −6.98021 | − | 5.85710i | −0.958806 | − | 0.804534i | 0.0219523 | − | 0.999759i | \(-0.493012\pi\) |
−0.980758 | + | 0.195225i | \(0.937456\pi\) | |||||||
\(54\) | 2.39563 | + | 13.5863i | 0.326004 | + | 1.84886i | ||||
\(55\) | 10.2770 | + | 3.74053i | 1.38575 | + | 0.504372i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | 13.7520 | − | 2.56127i | 1.82150 | − | 0.339249i | ||||
\(58\) | 5.83623 | 0.766334 | ||||||||
\(59\) | 1.01168 | + | 0.368223i | 0.131710 | + | 0.0479386i | 0.407034 | − | 0.913413i | \(-0.366563\pi\) |
−0.275324 | + | 0.961351i | \(0.588785\pi\) | |||||||
\(60\) | −1.52885 | − | 8.67056i | −0.197374 | − | 1.11936i | ||||
\(61\) | −1.17761 | − | 0.988134i | −0.150778 | − | 0.126518i | 0.564278 | − | 0.825585i | \(-0.309154\pi\) |
−0.715056 | + | 0.699067i | \(0.753599\pi\) | |||||||
\(62\) | −1.06095 | + | 0.890245i | −0.134741 | + | 0.113061i | ||||
\(63\) | 1.26744 | − | 7.18799i | 0.159682 | − | 0.905601i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −6.36763 | − | 11.0291i | −0.789807 | − | 1.36799i | ||||
\(66\) | 12.0216 | − | 4.37549i | 1.47975 | − | 0.538585i | ||||
\(67\) | −11.5668 | + | 4.20996i | −1.41311 | + | 0.514328i | −0.932040 | − | 0.362356i | \(-0.881972\pi\) |
−0.481066 | + | 0.876685i | \(0.659750\pi\) | |||||||
\(68\) | −2.61237 | − | 4.52476i | −0.316796 | − | 0.548707i | ||||
\(69\) | 0.835133 | − | 1.44649i | 0.100538 | − | 0.174137i | ||||
\(70\) | −0.476399 | + | 2.70180i | −0.0569406 | + | 0.322926i | ||||
\(71\) | 3.06984 | − | 2.57590i | 0.364323 | − | 0.305703i | −0.442188 | − | 0.896922i | \(-0.645798\pi\) |
0.806511 | + | 0.591219i | \(0.201353\pi\) | |||||||
\(72\) | −5.59126 | − | 4.69162i | −0.658936 | − | 0.552913i | ||||
\(73\) | −0.0734212 | − | 0.416392i | −0.00859330 | − | 0.0487350i | 0.980210 | − | 0.197963i | \(-0.0634324\pi\) |
−0.988803 | + | 0.149227i | \(0.952321\pi\) | |||||||
\(74\) | 8.87243 | + | 3.22930i | 1.03140 | + | 0.375399i | ||||
\(75\) | −8.10851 | −0.936290 | ||||||||
\(76\) | −2.76965 | + | 3.36587i | −0.317700 | + | 0.386091i | ||||
\(77\) | −3.98639 | −0.454291 | ||||||||
\(78\) | −13.9987 | − | 5.09510i | −1.58504 | − | 0.576907i | ||||
\(79\) | 2.22061 | + | 12.5937i | 0.249838 | + | 1.41690i | 0.808982 | + | 0.587833i | \(0.200019\pi\) |
−0.559144 | + | 0.829071i | \(0.688870\pi\) | |||||||
\(80\) | 2.10162 | + | 1.76347i | 0.234969 | + | 0.197162i | ||||
\(81\) | 17.1417 | − | 14.3836i | 1.90463 | − | 1.59818i | ||||
\(82\) | −1.63279 | + | 9.25999i | −0.180311 | + | 1.02260i | ||||
\(83\) | 0.749691 | − | 1.29850i | 0.0822892 | − | 0.142529i | −0.821944 | − | 0.569569i | \(-0.807110\pi\) |
0.904233 | + | 0.427040i | \(0.140444\pi\) | |||||||
\(84\) | 1.60459 | + | 2.77924i | 0.175075 | + | 0.303240i | ||||
\(85\) | −13.4695 | + | 4.90250i | −1.46097 | + | 0.531750i | ||||
\(86\) | 2.40221 | − | 0.874334i | 0.259037 | − | 0.0942819i | ||||
\(87\) | −9.36477 | − | 16.2203i | −1.00401 | − | 1.73899i | ||||
\(88\) | −1.99320 | + | 3.45232i | −0.212475 | + | 0.368018i | ||||
\(89\) | 1.52439 | − | 8.64523i | 0.161585 | − | 0.916392i | −0.790932 | − | 0.611905i | \(-0.790404\pi\) |
0.952516 | − | 0.304488i | \(-0.0984853\pi\) | |||||||
\(90\) | −15.3395 | + | 12.8714i | −1.61692 | + | 1.35676i | ||||
\(91\) | 3.55599 | + | 2.98383i | 0.372769 | + | 0.312790i | ||||
\(92\) | 0.0903776 | + | 0.512557i | 0.00942252 | + | 0.0534377i | ||||
\(93\) | 4.17660 | + | 1.52016i | 0.433093 | + | 0.157633i | ||||
\(94\) | −4.77001 | −0.491989 | ||||||||
\(95\) | 7.77442 | + | 9.08652i | 0.797639 | + | 0.932257i | ||||
\(96\) | 3.20919 | 0.327536 | ||||||||
\(97\) | −4.33951 | − | 1.57945i | −0.440611 | − | 0.160369i | 0.112183 | − | 0.993688i | \(-0.464216\pi\) |
−0.552793 | + | 0.833318i | \(0.686438\pi\) | |||||||
\(98\) | −0.173648 | − | 0.984808i | −0.0175411 | − | 0.0994806i | ||||
\(99\) | −22.2889 | − | 18.7026i | −2.24012 | − | 1.87969i | ||||
\(100\) | 1.93553 | − | 1.62410i | 0.193553 | − | 0.162410i | ||||
\(101\) | 0.880979 | − | 4.99628i | 0.0876607 | − | 0.497149i | −0.909090 | − | 0.416600i | \(-0.863222\pi\) |
0.996751 | − | 0.0805488i | \(-0.0256673\pi\) | |||||||
\(102\) | −8.38358 | + | 14.5208i | −0.830098 | + | 1.43777i | ||||
\(103\) | 0.700060 | + | 1.21254i | 0.0689790 | + | 0.119475i | 0.898452 | − | 0.439072i | \(-0.144693\pi\) |
−0.829473 | + | 0.558547i | \(0.811359\pi\) | |||||||
\(104\) | 4.36207 | − | 1.58766i | 0.427736 | − | 0.155683i | ||||
\(105\) | 8.27336 | − | 3.01125i | 0.807397 | − | 0.293868i | ||||
\(106\) | −4.55601 | − | 7.89124i | −0.442519 | − | 0.766465i | ||||
\(107\) | 9.17732 | − | 15.8956i | 0.887205 | − | 1.53668i | 0.0440401 | − | 0.999030i | \(-0.485977\pi\) |
0.843165 | − | 0.537655i | \(-0.180690\pi\) | |||||||
\(108\) | −2.39563 | + | 13.5863i | −0.230520 | + | 1.30734i | ||||
\(109\) | −6.50446 | + | 5.45789i | −0.623014 | + | 0.522771i | −0.898749 | − | 0.438463i | \(-0.855523\pi\) |
0.275735 | + | 0.961234i | \(0.411079\pi\) | |||||||
\(110\) | 8.37789 | + | 7.02989i | 0.798801 | + | 0.670273i | ||||
\(111\) | −5.26165 | − | 29.8403i | −0.499414 | − | 2.83232i | ||||
\(112\) | −0.939693 | − | 0.342020i | −0.0887926 | − | 0.0323179i | ||||
\(113\) | −8.06367 | −0.758566 | −0.379283 | − | 0.925281i | \(-0.623829\pi\) | ||||
−0.379283 | + | 0.925281i | \(0.623829\pi\) | |||||||
\(114\) | 13.7987 | + | 2.29666i | 1.29237 | + | 0.215102i | ||||
\(115\) | 1.42788 | 0.133150 | ||||||||
\(116\) | 5.48426 | + | 1.99611i | 0.509201 | + | 0.185334i | ||||
\(117\) | 5.88346 | + | 33.3667i | 0.543926 | + | 3.08476i | ||||
\(118\) | 0.824733 | + | 0.692033i | 0.0759228 | + | 0.0637068i | ||||
\(119\) | 4.00238 | − | 3.35840i | 0.366898 | − | 0.307864i | ||||
\(120\) | 1.52885 | − | 8.67056i | 0.139565 | − | 0.791511i | ||||
\(121\) | −2.44566 | + | 4.23600i | −0.222332 | + | 0.385091i | ||||
\(122\) | −0.768632 | − | 1.33131i | −0.0695886 | − | 0.120531i | ||||
\(123\) | 28.3557 | − | 10.3206i | 2.55674 | − | 0.930579i | ||||
\(124\) | −1.30145 | + | 0.473689i | −0.116874 | + | 0.0425386i | ||||
\(125\) | 3.39278 | + | 5.87647i | 0.303459 | + | 0.525607i | ||||
\(126\) | 3.64944 | − | 6.32101i | 0.325118 | − | 0.563120i | ||||
\(127\) | −2.28209 | + | 12.9424i | −0.202503 | + | 1.14845i | 0.698818 | + | 0.715299i | \(0.253710\pi\) |
−0.901321 | + | 0.433151i | \(0.857402\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | −6.28455 | − | 5.27337i | −0.553324 | − | 0.464294i | ||||
\(130\) | −2.21145 | − | 12.5418i | −0.193957 | − | 1.09999i | ||||
\(131\) | −17.2159 | − | 6.26607i | −1.50416 | − | 0.547469i | −0.547026 | − | 0.837116i | \(-0.684240\pi\) |
−0.957134 | + | 0.289646i | \(0.906462\pi\) | |||||||
\(132\) | 12.7931 | 1.11349 | ||||||||
\(133\) | −3.79567 | − | 2.14309i | −0.329127 | − | 0.185830i | ||||
\(134\) | −12.3091 | −1.06334 | ||||||||
\(135\) | 35.5661 | + | 12.9450i | 3.06104 | + | 1.11413i | ||||
\(136\) | −0.907266 | − | 5.14536i | −0.0777974 | − | 0.441211i | ||||
\(137\) | −3.20831 | − | 2.69209i | −0.274105 | − | 0.230001i | 0.495364 | − | 0.868685i | \(-0.335035\pi\) |
−0.769469 | + | 0.638684i | \(0.779479\pi\) | |||||||
\(138\) | 1.27950 | − | 1.07363i | 0.108918 | − | 0.0913931i | ||||
\(139\) | −2.59557 | + | 14.7202i | −0.220153 | + | 1.24855i | 0.651584 | + | 0.758576i | \(0.274105\pi\) |
−0.871737 | + | 0.489974i | \(0.837006\pi\) | |||||||
\(140\) | −1.37174 | + | 2.37592i | −0.115933 | + | 0.200802i | ||||
\(141\) | 7.65392 | + | 13.2570i | 0.644576 | + | 1.11644i | ||||
\(142\) | 3.76571 | − | 1.37061i | 0.316012 | − | 0.115019i | ||||
\(143\) | 17.3889 | − | 6.32904i | 1.45413 | − | 0.529261i | ||||
\(144\) | −3.64944 | − | 6.32101i | −0.304120 | − | 0.526751i | ||||
\(145\) | 8.00577 | − | 13.8664i | 0.664843 | − | 1.15154i | ||||
\(146\) | 0.0734212 | − | 0.416392i | 0.00607638 | − | 0.0344609i | ||||
\(147\) | −2.45838 | + | 2.06282i | −0.202764 | + | 0.170139i | ||||
\(148\) | 7.23287 | + | 6.06910i | 0.594539 | + | 0.498877i | ||||
\(149\) | −0.00299068 | − | 0.0169610i | −0.000245006 | − | 0.00138950i | 0.984685 | − | 0.174343i | \(-0.0557801\pi\) |
−0.984930 | + | 0.172953i | \(0.944669\pi\) | |||||||
\(150\) | −7.61950 | − | 2.77327i | −0.622130 | − | 0.226437i | ||||
\(151\) | 6.94979 | 0.565566 | 0.282783 | − | 0.959184i | \(-0.408742\pi\) | ||||
0.282783 | + | 0.959184i | \(0.408742\pi\) | |||||||
\(152\) | −3.75381 | + | 2.21560i | −0.304474 | + | 0.179709i | ||||
\(153\) | 38.1347 | 3.08301 | ||||||||
\(154\) | −3.74598 | − | 1.36343i | −0.301860 | − | 0.109868i | ||||
\(155\) | 0.659801 | + | 3.74192i | 0.0529965 | + | 0.300558i | ||||
\(156\) | −11.4118 | − | 9.57566i | −0.913678 | − | 0.766667i | ||||
\(157\) | −16.0184 | + | 13.4410i | −1.27840 | + | 1.07271i | −0.284943 | + | 0.958545i | \(0.591975\pi\) |
−0.993462 | + | 0.114164i | \(0.963581\pi\) | |||||||
\(158\) | −2.22061 | + | 12.5937i | −0.176662 | + | 1.00190i | ||||
\(159\) | −14.6211 | + | 25.3245i | −1.15953 | + | 2.00836i | ||||
\(160\) | 1.37174 | + | 2.37592i | 0.108445 | + | 0.187833i | ||||
\(161\) | −0.489076 | + | 0.178009i | −0.0385446 | + | 0.0140291i | ||||
\(162\) | 21.0274 | − | 7.65336i | 1.65207 | − | 0.601305i | ||||
\(163\) | −4.46969 | − | 7.74172i | −0.350093 | − | 0.606379i | 0.636173 | − | 0.771547i | \(-0.280517\pi\) |
−0.986265 | + | 0.165168i | \(0.947183\pi\) | |||||||
\(164\) | −4.70142 | + | 8.14310i | −0.367119 | + | 0.635869i | ||||
\(165\) | 6.09461 | − | 34.5643i | 0.474465 | − | 2.69082i | ||||
\(166\) | 1.14859 | − | 0.963784i | 0.0891481 | − | 0.0748041i | ||||
\(167\) | −13.8969 | − | 11.6609i | −1.07537 | − | 0.902346i | −0.0798457 | − | 0.996807i | \(-0.525443\pi\) |
−0.995529 | + | 0.0944611i | \(0.969887\pi\) | |||||||
\(168\) | 0.557269 | + | 3.16043i | 0.0429943 | + | 0.243833i | ||||
\(169\) | −8.03278 | − | 2.92369i | −0.617906 | − | 0.224900i | ||||
\(170\) | −14.3339 | −1.09936 | ||||||||
\(171\) | −11.1680 | − | 29.7905i | −0.854039 | − | 2.27814i | ||||
\(172\) | 2.55638 | 0.194922 | ||||||||
\(173\) | −1.85786 | − | 0.676205i | −0.141250 | − | 0.0514109i | 0.270428 | − | 0.962740i | \(-0.412835\pi\) |
−0.411678 | + | 0.911329i | \(0.635057\pi\) | |||||||
\(174\) | −3.25235 | − | 18.4450i | −0.246560 | − | 1.39831i | ||||
\(175\) | 1.93553 | + | 1.62410i | 0.146312 | + | 0.122771i | ||||
\(176\) | −3.05375 | + | 2.56240i | −0.230185 | + | 0.193148i | ||||
\(177\) | 0.599963 | − | 3.40256i | 0.0450960 | − | 0.255752i | ||||
\(178\) | 4.38930 | − | 7.60249i | 0.328992 | − | 0.569830i | ||||
\(179\) | −9.71063 | − | 16.8193i | −0.725807 | − | 1.25713i | −0.958641 | − | 0.284618i | \(-0.908133\pi\) |
0.232834 | − | 0.972516i | \(-0.425200\pi\) | |||||||
\(180\) | −18.8167 | + | 6.84870i | −1.40251 | + | 0.510472i | ||||
\(181\) | −2.39153 | + | 0.870447i | −0.177761 | + | 0.0646998i | −0.429367 | − | 0.903130i | \(-0.641263\pi\) |
0.251606 | + | 0.967830i | \(0.419041\pi\) | |||||||
\(182\) | 2.32101 | + | 4.02010i | 0.172045 | + | 0.297990i | ||||
\(183\) | −2.46668 | + | 4.27242i | −0.182342 | + | 0.315826i | ||||
\(184\) | −0.0903776 | + | 0.512557i | −0.00666273 | + | 0.0377862i | ||||
\(185\) | 19.8432 | − | 16.6504i | 1.45890 | − | 1.22416i | ||||
\(186\) | 3.40479 | + | 2.85696i | 0.249652 | + | 0.209483i | ||||
\(187\) | −3.61672 | − | 20.5114i | −0.264481 | − | 1.49994i | ||||
\(188\) | −4.48234 | − | 1.63144i | −0.326908 | − | 0.118985i | ||||
\(189\) | −13.7959 | −1.00350 | ||||||||
\(190\) | 4.19779 | + | 11.1975i | 0.304540 | + | 0.812355i | ||||
\(191\) | −18.1665 | −1.31448 | −0.657241 | − | 0.753681i | \(-0.728276\pi\) | ||||
−0.657241 | + | 0.753681i | \(0.728276\pi\) | |||||||
\(192\) | 3.01565 | + | 1.09761i | 0.217636 | + | 0.0792129i | ||||
\(193\) | 2.17591 | + | 12.3402i | 0.156626 | + | 0.888268i | 0.957284 | + | 0.289148i | \(0.0933719\pi\) |
−0.800659 | + | 0.599121i | \(0.795517\pi\) | |||||||
\(194\) | −3.53760 | − | 2.96840i | −0.253985 | − | 0.213119i | ||||
\(195\) | −31.3081 | + | 26.2706i | −2.24202 | + | 1.88128i | ||||
\(196\) | 0.173648 | − | 0.984808i | 0.0124034 | − | 0.0703434i | ||||
\(197\) | 5.52624 | − | 9.57172i | 0.393728 | − | 0.681957i | −0.599210 | − | 0.800592i | \(-0.704519\pi\) |
0.992938 | + | 0.118635i | \(0.0378518\pi\) | |||||||
\(198\) | −14.5481 | − | 25.1980i | −1.03389 | − | 1.79074i | ||||
\(199\) | 2.27714 | − | 0.828812i | 0.161422 | − | 0.0587529i | −0.260045 | − | 0.965596i | \(-0.583737\pi\) |
0.421467 | + | 0.906844i | \(0.361515\pi\) | |||||||
\(200\) | 2.37428 | − | 0.864167i | 0.167887 | − | 0.0611058i | ||||
\(201\) | 19.7511 | + | 34.2099i | 1.39313 | + | 2.41298i | ||||
\(202\) | 2.53668 | − | 4.39366i | 0.178480 | − | 0.309137i | ||||
\(203\) | −1.01345 | + | 5.74756i | −0.0711303 | + | 0.403400i | ||||
\(204\) | −12.8444 | + | 10.7777i | −0.899287 | + | 0.754591i | ||||
\(205\) | 19.7612 | + | 16.5816i | 1.38018 | + | 1.15811i | ||||
\(206\) | 0.243128 | + | 1.37885i | 0.0169395 | + | 0.0960689i | ||||
\(207\) | −3.56970 | − | 1.29927i | −0.248112 | − | 0.0903052i | ||||
\(208\) | 4.64202 | 0.321866 | ||||||||
\(209\) | −14.9642 | + | 8.83226i | −1.03509 | + | 0.610940i | ||||
\(210\) | 8.80432 | 0.607556 | ||||||||
\(211\) | −3.00160 | − | 1.09249i | −0.206638 | − | 0.0752102i | 0.236627 | − | 0.971600i | \(-0.423958\pi\) |
−0.443266 | + | 0.896390i | \(0.646180\pi\) | |||||||
\(212\) | −1.58229 | − | 8.97359i | −0.108672 | − | 0.616309i | ||||
\(213\) | −9.85168 | − | 8.26654i | −0.675026 | − | 0.566414i | ||||
\(214\) | 14.0605 | − | 11.7981i | 0.961154 | − | 0.806504i | ||||
\(215\) | 1.21786 | − | 6.90682i | 0.0830573 | − | 0.471041i | ||||
\(216\) | −6.89794 | + | 11.9476i | −0.469345 | + | 0.812930i | ||||
\(217\) | −0.692488 | − | 1.19942i | −0.0470091 | − | 0.0814222i | ||||
\(218\) | −7.97890 | + | 2.90408i | −0.540399 | + | 0.196689i | ||||
\(219\) | −1.27506 | + | 0.464085i | −0.0861608 | + | 0.0313600i | ||||
\(220\) | 5.46828 | + | 9.47134i | 0.368671 | + | 0.638558i | ||||
\(221\) | −12.1267 | + | 21.0040i | −0.815727 | + | 1.41288i | ||||
\(222\) | 5.26165 | − | 29.8403i | 0.353139 | − | 2.00275i | ||||
\(223\) | −5.45239 | + | 4.57510i | −0.365119 | + | 0.306371i | −0.806827 | − | 0.590788i | \(-0.798817\pi\) |
0.441708 | + | 0.897159i | \(0.354373\pi\) | |||||||
\(224\) | −0.766044 | − | 0.642788i | −0.0511835 | − | 0.0429481i | ||||
\(225\) | 3.20237 | + | 18.1616i | 0.213492 | + | 1.21077i | ||||
\(226\) | −7.57737 | − | 2.75794i | −0.504039 | − | 0.183455i | ||||
\(227\) | 15.0860 | 1.00130 | 0.500648 | − | 0.865651i | \(-0.333095\pi\) | ||||
0.500648 | + | 0.865651i | \(0.333095\pi\) | |||||||
\(228\) | 12.1810 | + | 6.87759i | 0.806708 | + | 0.455479i | ||||
\(229\) | 0.806298 | 0.0532817 | 0.0266409 | − | 0.999645i | \(-0.491519\pi\) | ||||
0.0266409 | + | 0.999645i | \(0.491519\pi\) | |||||||
\(230\) | 1.34177 | + | 0.488364i | 0.0884736 | + | 0.0322017i | ||||
\(231\) | 2.22149 | + | 12.5987i | 0.146164 | + | 0.828934i | ||||
\(232\) | 4.47081 | + | 3.75145i | 0.293523 | + | 0.246295i | ||||
\(233\) | −7.22969 | + | 6.06643i | −0.473633 | + | 0.397425i | −0.848118 | − | 0.529808i | \(-0.822264\pi\) |
0.374485 | + | 0.927233i | \(0.377820\pi\) | |||||||
\(234\) | −5.88346 | + | 33.3667i | −0.384614 | + | 2.18125i | ||||
\(235\) | −6.54320 | + | 11.3332i | −0.426831 | + | 0.739293i | ||||
\(236\) | 0.538306 | + | 0.932374i | 0.0350408 | + | 0.0606924i | ||||
\(237\) | 38.5641 | − | 14.0362i | 2.50501 | − | 0.911748i | ||||
\(238\) | 4.90965 | − | 1.78697i | 0.318245 | − | 0.115832i | ||||
\(239\) | 0.971424 | + | 1.68256i | 0.0628362 | + | 0.108836i | 0.895732 | − | 0.444594i | \(-0.146652\pi\) |
−0.832896 | + | 0.553430i | \(0.813319\pi\) | |||||||
\(240\) | 4.40216 | − | 7.62477i | 0.284158 | − | 0.492176i | ||||
\(241\) | 4.06779 | − | 23.0696i | 0.262029 | − | 1.48604i | −0.515334 | − | 0.856990i | \(-0.672332\pi\) |
0.777363 | − | 0.629052i | \(-0.216557\pi\) | |||||||
\(242\) | −3.74696 | + | 3.14407i | −0.240864 | + | 0.202109i | ||||
\(243\) | −23.3062 | − | 19.5562i | −1.49509 | − | 1.25453i | ||||
\(244\) | −0.266943 | − | 1.51391i | −0.0170893 | − | 0.0969181i | ||||
\(245\) | −2.57802 | − | 0.938324i | −0.164704 | − | 0.0599473i | ||||
\(246\) | 30.1755 | 1.92392 | ||||||||
\(247\) | 19.9595 | + | 3.32207i | 1.26999 | + | 0.211379i | ||||
\(248\) | −1.38498 | −0.0879460 | ||||||||
\(249\) | −4.52161 | − | 1.64573i | −0.286545 | − | 0.104294i | ||||
\(250\) | 1.17830 | + | 6.68247i | 0.0745222 | + | 0.422637i | ||||
\(251\) | 1.12195 | + | 0.941428i | 0.0708169 | + | 0.0594224i | 0.677509 | − | 0.735514i | \(-0.263059\pi\) |
−0.606692 | + | 0.794937i | \(0.707504\pi\) | |||||||
\(252\) | 5.59126 | − | 4.69162i | 0.352216 | − | 0.295545i | ||||
\(253\) | −0.360280 | + | 2.04325i | −0.0226506 | + | 0.128458i | ||||
\(254\) | −6.57102 | + | 11.3813i | −0.412302 | + | 0.714129i | ||||
\(255\) | 23.0001 | + | 39.8374i | 1.44032 | + | 2.49471i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 19.2912 | − | 7.02141i | 1.20335 | − | 0.437983i | 0.338957 | − | 0.940802i | \(-0.389926\pi\) |
0.864392 | + | 0.502819i | \(0.167704\pi\) | |||||||
\(258\) | −4.10195 | − | 7.10479i | −0.255376 | − | 0.442325i | ||||
\(259\) | −4.72092 | + | 8.17688i | −0.293344 | + | 0.508087i | ||||
\(260\) | 2.21145 | − | 12.5418i | 0.137149 | − | 0.777808i | ||||
\(261\) | −32.6319 | + | 27.3814i | −2.01986 | + | 1.69487i | ||||
\(262\) | −14.0345 | − | 11.7764i | −0.867056 | − | 0.727546i | ||||
\(263\) | 3.00782 | + | 17.0582i | 0.185470 | + | 1.05185i | 0.925350 | + | 0.379114i | \(0.123771\pi\) |
−0.739880 | + | 0.672739i | \(0.765118\pi\) | |||||||
\(264\) | 12.0216 | + | 4.37549i | 0.739875 | + | 0.269293i | ||||
\(265\) | −24.9986 | −1.53565 | ||||||||
\(266\) | −2.83379 | − | 3.31205i | −0.173751 | − | 0.203075i | ||||
\(267\) | −28.1721 | −1.72411 | ||||||||
\(268\) | −11.5668 | − | 4.20996i | −0.706553 | − | 0.257164i | ||||
\(269\) | −1.91833 | − | 10.8794i | −0.116963 | − | 0.663329i | −0.985760 | − | 0.168161i | \(-0.946217\pi\) |
0.868797 | − | 0.495169i | \(-0.164894\pi\) | |||||||
\(270\) | 28.9937 | + | 24.3286i | 1.76450 | + | 1.48059i | ||||
\(271\) | 20.5832 | − | 17.2713i | 1.25034 | − | 1.04916i | 0.253696 | − | 0.967284i | \(-0.418354\pi\) |
0.996643 | − | 0.0818750i | \(-0.0260908\pi\) | |||||||
\(272\) | 0.907266 | − | 5.14536i | 0.0550111 | − | 0.311983i | ||||
\(273\) | 7.44854 | − | 12.9013i | 0.450806 | − | 0.780820i | ||||
\(274\) | −2.09408 | − | 3.62705i | −0.126508 | − | 0.219118i | ||||
\(275\) | 9.46480 | − | 3.44491i | 0.570749 | − | 0.207736i | ||||
\(276\) | 1.56954 | − | 0.571264i | 0.0944750 | − | 0.0343861i | ||||
\(277\) | 8.97895 | + | 15.5520i | 0.539493 | + | 0.934429i | 0.998931 | + | 0.0462197i | \(0.0147174\pi\) |
−0.459438 | + | 0.888210i | \(0.651949\pi\) | |||||||
\(278\) | −7.47363 | + | 12.9447i | −0.448239 | + | 0.776372i | ||||
\(279\) | 1.75537 | − | 9.95518i | 0.105091 | − | 0.596001i | ||||
\(280\) | −2.10162 | + | 1.76347i | −0.125596 | + | 0.105388i | ||||
\(281\) | 6.40086 | + | 5.37096i | 0.381843 | + | 0.320405i | 0.813426 | − | 0.581669i | \(-0.197600\pi\) |
−0.431582 | + | 0.902074i | \(0.642045\pi\) | |||||||
\(282\) | 2.65818 | + | 15.0753i | 0.158292 | + | 0.897720i | ||||
\(283\) | −9.29413 | − | 3.38279i | −0.552478 | − | 0.201086i | 0.0506689 | − | 0.998716i | \(-0.483865\pi\) |
−0.603147 | + | 0.797630i | \(0.706087\pi\) | |||||||
\(284\) | 4.00739 | 0.237795 | ||||||||
\(285\) | 24.3849 | − | 29.6342i | 1.44444 | − | 1.75538i | ||||
\(286\) | 18.5049 | 1.09422 | ||||||||
\(287\) | −8.83578 | − | 3.21596i | −0.521560 | − | 0.189832i | ||||
\(288\) | −1.26744 | − | 7.18799i | −0.0746844 | − | 0.423556i | ||||
\(289\) | 7.88864 | + | 6.61935i | 0.464038 | + | 0.389374i | ||||
\(290\) | 12.2656 | − | 10.2920i | 0.720258 | − | 0.604368i | ||||
\(291\) | −2.57348 | + | 14.5949i | −0.150860 | + | 0.855569i | ||||
\(292\) | 0.211408 | − | 0.366169i | 0.0123717 | − | 0.0214284i | ||||
\(293\) | 12.7989 | + | 22.1683i | 0.747719 | + | 1.29509i | 0.948914 | + | 0.315536i | \(0.102184\pi\) |
−0.201195 | + | 0.979551i | \(0.564482\pi\) | |||||||
\(294\) | −3.01565 | + | 1.09761i | −0.175876 | + | 0.0640137i | ||||
\(295\) | 2.77553 | − | 1.01021i | 0.161598 | − | 0.0588168i | ||||
\(296\) | 4.72092 | + | 8.17688i | 0.274398 | + | 0.475271i | ||||
\(297\) | −27.4979 | + | 47.6277i | −1.59559 | + | 2.76364i | ||||
\(298\) | 0.00299068 | − | 0.0169610i | 0.000173245 | − | 0.000982524i | ||||
\(299\) | 1.85076 | − | 1.55298i | 0.107032 | − | 0.0898109i | ||||
\(300\) | −6.21148 | − | 5.21205i | −0.358620 | − | 0.300918i | ||||
\(301\) | 0.443911 | + | 2.51754i | 0.0255866 | + | 0.145109i | ||||
\(302\) | 6.53066 | + | 2.37697i | 0.375797 | + | 0.136779i | ||||
\(303\) | −16.2813 | −0.935339 | ||||||||
\(304\) | −4.28521 | + | 0.798106i | −0.245774 | + | 0.0457745i | ||||
\(305\) | −4.21744 | −0.241490 | ||||||||
\(306\) | 35.8349 | + | 13.0428i | 2.04854 | + | 0.745609i | ||||
\(307\) | 1.61384 | + | 9.15254i | 0.0921067 | + | 0.522363i | 0.995596 | + | 0.0937516i | \(0.0298860\pi\) |
−0.903489 | + | 0.428611i | \(0.859003\pi\) | |||||||
\(308\) | −3.05375 | − | 2.56240i | −0.174004 | − | 0.146006i | ||||
\(309\) | 3.44202 | − | 2.88820i | 0.195810 | − | 0.164304i | ||||
\(310\) | −0.659801 | + | 3.74192i | −0.0374742 | + | 0.212527i | ||||
\(311\) | 3.51746 | − | 6.09242i | 0.199457 | − | 0.345469i | −0.748896 | − | 0.662688i | \(-0.769416\pi\) |
0.948352 | + | 0.317219i | \(0.102749\pi\) | |||||||
\(312\) | −7.44854 | − | 12.9013i | −0.421691 | − | 0.730390i | ||||
\(313\) | −27.9902 | + | 10.1876i | −1.58210 | + | 0.575837i | −0.975659 | − | 0.219292i | \(-0.929625\pi\) |
−0.606440 | + | 0.795129i | \(0.707403\pi\) | |||||||
\(314\) | −19.6494 | + | 7.15181i | −1.10888 | + | 0.403600i | ||||
\(315\) | −10.0121 | − | 17.3415i | −0.564120 | − | 0.977085i | ||||
\(316\) | −6.39400 | + | 11.0747i | −0.359690 | + | 0.623002i | ||||
\(317\) | 3.29676 | − | 18.6968i | 0.185164 | − | 1.05012i | −0.740580 | − | 0.671969i | \(-0.765449\pi\) |
0.925744 | − | 0.378151i | \(-0.123440\pi\) | |||||||
\(318\) | −22.4008 | + | 18.7965i | −1.25617 | + | 1.05406i | ||||
\(319\) | 17.8224 | + | 14.9548i | 0.997862 | + | 0.837306i | ||||
\(320\) | 0.476399 | + | 2.70180i | 0.0266315 | + | 0.151035i | ||||
\(321\) | −55.3511 | − | 20.1462i | −3.08940 | − | 1.12445i | ||||
\(322\) | −0.520464 | −0.0290043 | ||||||||
\(323\) | 7.58331 | − | 21.4745i | 0.421947 | − | 1.19487i | ||||
\(324\) | 22.3769 | 1.24316 | ||||||||
\(325\) | −11.0214 | − | 4.01148i | −0.611360 | − | 0.222517i | ||||
\(326\) | −1.55231 | − | 8.80356i | −0.0859743 | − | 0.487584i | ||||
\(327\) | 20.8740 | + | 17.5154i | 1.15434 | + | 0.968602i | ||||
\(328\) | −7.20299 | + | 6.04403i | −0.397719 | + | 0.333726i | ||||
\(329\) | 0.828303 | − | 4.69754i | 0.0456658 | − | 0.258984i | ||||
\(330\) | 17.5487 | − | 30.3953i | 0.966026 | − | 1.67321i | ||||
\(331\) | 4.34101 | + | 7.51885i | 0.238603 | + | 0.413273i | 0.960314 | − | 0.278922i | \(-0.0899771\pi\) |
−0.721710 | + | 0.692195i | \(0.756644\pi\) | |||||||
\(332\) | 1.40896 | − | 0.512819i | 0.0773266 | − | 0.0281446i | ||||
\(333\) | −64.7588 | + | 23.5703i | −3.54876 | + | 1.29164i | ||||
\(334\) | −9.07056 | − | 15.7107i | −0.496319 | − | 0.859649i | ||||
\(335\) | −16.8848 | + | 29.2454i | −0.922518 | + | 1.59785i | ||||
\(336\) | −0.557269 | + | 3.16043i | −0.0304015 | + | 0.172416i | ||||
\(337\) | 12.8614 | − | 10.7920i | 0.700605 | − | 0.587877i | −0.221341 | − | 0.975197i | \(-0.571043\pi\) |
0.921946 | + | 0.387319i | \(0.126599\pi\) | |||||||
\(338\) | −6.54838 | − | 5.49475i | −0.356185 | − | 0.298875i | ||||
\(339\) | 4.49364 | + | 25.4847i | 0.244061 | + | 1.38414i | ||||
\(340\) | −13.4695 | − | 4.90250i | −0.730486 | − | 0.265875i | ||||
\(341\) | −5.52105 | −0.298982 | ||||||||
\(342\) | −0.305549 | − | 31.8136i | −0.0165222 | − | 1.72028i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 2.40221 | + | 0.874334i | 0.129519 | + | 0.0471409i | ||||
\(345\) | −0.795713 | − | 4.51271i | −0.0428398 | − | 0.242956i | ||||
\(346\) | −1.51454 | − | 1.27085i | −0.0814221 | − | 0.0683213i | ||||
\(347\) | 10.7155 | − | 8.99135i | 0.575236 | − | 0.482681i | −0.308142 | − | 0.951340i | \(-0.599707\pi\) |
0.883379 | + | 0.468660i | \(0.155263\pi\) | |||||||
\(348\) | 3.25235 | − | 18.4450i | 0.174344 | − | 0.988755i | ||||
\(349\) | 8.85756 | − | 15.3417i | 0.474134 | − | 0.821225i | −0.525427 | − | 0.850839i | \(-0.676094\pi\) |
0.999561 | + | 0.0296139i | \(0.00942777\pi\) | |||||||
\(350\) | 1.26333 | + | 2.18815i | 0.0675277 | + | 0.116961i | ||||
\(351\) | 60.1786 | − | 21.9032i | 3.21209 | − | 1.16911i | ||||
\(352\) | −3.74598 | + | 1.36343i | −0.199662 | + | 0.0726708i | ||||
\(353\) | 3.92070 | + | 6.79084i | 0.208678 | + | 0.361440i | 0.951298 | − | 0.308272i | \(-0.0997507\pi\) |
−0.742621 | + | 0.669712i | \(0.766417\pi\) | |||||||
\(354\) | 1.72752 | − | 2.99216i | 0.0918169 | − | 0.159032i | ||||
\(355\) | 1.90912 | − | 10.8271i | 0.101325 | − | 0.574645i | ||||
\(356\) | 6.72479 | − | 5.64277i | 0.356413 | − | 0.299066i | ||||
\(357\) | −12.8444 | − | 10.7777i | −0.679797 | − | 0.570417i | ||||
\(358\) | −3.37247 | − | 19.1262i | −0.178240 | − | 1.01085i | ||||
\(359\) | −13.8809 | − | 5.05225i | −0.732608 | − | 0.266648i | −0.0513397 | − | 0.998681i | \(-0.516349\pi\) |
−0.681268 | + | 0.732034i | \(0.738571\pi\) | |||||||
\(360\) | −20.0243 | −1.05537 | ||||||||
\(361\) | −18.9965 | + | 0.364932i | −0.999816 | + | 0.0192069i | ||||
\(362\) | −2.54502 | −0.133763 | ||||||||
\(363\) | 14.7505 | + | 5.36873i | 0.774199 | + | 0.281785i | ||||
\(364\) | 0.806078 | + | 4.57149i | 0.0422499 | + | 0.239611i | ||||
\(365\) | −0.888600 | − | 0.745624i | −0.0465114 | − | 0.0390277i | ||||
\(366\) | −3.77917 | + | 3.17110i | −0.197541 | + | 0.165756i | ||||
\(367\) | 0.942298 | − | 5.34404i | 0.0491875 | − | 0.278956i | −0.950287 | − | 0.311376i | \(-0.899210\pi\) |
0.999474 | + | 0.0324195i | \(0.0103213\pi\) | |||||||
\(368\) | −0.260232 | + | 0.450735i | −0.0135655 | + | 0.0234962i | ||||
\(369\) | −34.3151 | − | 59.4354i | −1.78637 | − | 3.09409i | ||||
\(370\) | 24.3413 | − | 8.85951i | 1.26544 | − | 0.460584i | ||||
\(371\) | 8.56250 | − | 3.11650i | 0.444543 | − | 0.161800i | ||||
\(372\) | 2.22232 | + | 3.84917i | 0.115222 | + | 0.199570i | ||||
\(373\) | 15.0791 | − | 26.1178i | 0.780767 | − | 1.35233i | −0.150728 | − | 0.988575i | \(-0.548162\pi\) |
0.931495 | − | 0.363754i | \(-0.118505\pi\) | |||||||
\(374\) | 3.61672 | − | 20.5114i | 0.187016 | − | 1.06062i | ||||
\(375\) | 16.6815 | − | 13.9974i | 0.861428 | − | 0.722824i | ||||
\(376\) | −3.65404 | − | 3.06610i | −0.188443 | − | 0.158122i | ||||
\(377\) | −4.70445 | − | 26.6803i | −0.242292 | − | 1.37410i | ||||
\(378\) | −12.9639 | − | 4.71847i | −0.666790 | − | 0.242692i | ||||
\(379\) | 22.1827 | 1.13945 | 0.569726 | − | 0.821835i | \(-0.307049\pi\) | ||||
0.569726 | + | 0.821835i | \(0.307049\pi\) | |||||||
\(380\) | 0.114849 | + | 11.9580i | 0.00589161 | + | 0.613431i | ||||
\(381\) | 42.1752 | 2.16070 | ||||||||
\(382\) | −17.0709 | − | 6.21331i | −0.873424 | − | 0.317900i | ||||
\(383\) | −2.35416 | − | 13.3511i | −0.120292 | − | 0.682210i | −0.983993 | − | 0.178206i | \(-0.942971\pi\) |
0.863701 | − | 0.504004i | \(-0.168140\pi\) | |||||||
\(384\) | 2.45838 | + | 2.06282i | 0.125454 | + | 0.105268i | ||||
\(385\) | −8.37789 | + | 7.02989i | −0.426977 | + | 0.358276i | ||||
\(386\) | −2.17591 | + | 12.3402i | −0.110751 | + | 0.628100i | ||||
\(387\) | −9.32935 | + | 16.1589i | −0.474238 | + | 0.821404i | ||||
\(388\) | −2.30901 | − | 3.99932i | −0.117222 | − | 0.203035i | ||||
\(389\) | −28.4669 | + | 10.3611i | −1.44333 | + | 0.525329i | −0.940720 | − | 0.339185i | \(-0.889849\pi\) |
−0.502609 | + | 0.864514i | \(0.667627\pi\) | |||||||
\(390\) | −38.4050 | + | 13.9783i | −1.94471 | + | 0.707818i | ||||
\(391\) | −1.35964 | − | 2.35497i | −0.0687601 | − | 0.119096i | ||||
\(392\) | 0.500000 | − | 0.866025i | 0.0252538 | − | 0.0437409i | ||||
\(393\) | −10.2096 | + | 57.9015i | −0.515006 | + | 2.92075i | ||||
\(394\) | 8.46669 | − | 7.10439i | 0.426545 | − | 0.357914i | ||||
\(395\) | 26.8755 | + | 22.5513i | 1.35226 | + | 1.13468i | ||||
\(396\) | −5.05249 | − | 28.6541i | −0.253897 | − | 1.43992i | ||||
\(397\) | 20.6197 | + | 7.50495i | 1.03487 | + | 0.376663i | 0.802934 | − | 0.596068i | \(-0.203271\pi\) |
0.231938 | + | 0.972730i | \(0.425493\pi\) | |||||||
\(398\) | 2.42328 | 0.121468 | ||||||||
\(399\) | −4.65789 | + | 13.1902i | −0.233186 | + | 0.660338i | ||||
\(400\) | 2.52666 | 0.126333 | ||||||||
\(401\) | −29.8055 | − | 10.8483i | −1.48842 | − | 0.541740i | −0.535385 | − | 0.844608i | \(-0.679833\pi\) |
−0.953032 | + | 0.302869i | \(0.902056\pi\) | |||||||
\(402\) | 6.85948 | + | 38.9020i | 0.342120 | + | 1.94026i | ||||
\(403\) | 4.92496 | + | 4.13253i | 0.245330 | + | 0.205856i | ||||
\(404\) | 3.88642 | − | 3.26109i | 0.193357 | − | 0.162245i | ||||
\(405\) | 10.6604 | − | 60.4579i | 0.529717 | − | 3.00418i | ||||
\(406\) | −2.91811 | + | 5.05432i | −0.144824 | + | 0.250842i | ||||
\(407\) | 18.8194 | + | 32.5962i | 0.932845 | + | 1.61574i | ||||
\(408\) | −15.7560 | + | 5.73470i | −0.780037 | + | 0.283910i | ||||
\(409\) | 11.6143 | − | 4.22725i | 0.574289 | − | 0.209024i | −0.0385162 | − | 0.999258i | \(-0.512263\pi\) |
0.612806 | + | 0.790234i | \(0.290041\pi\) | |||||||
\(410\) | 12.8982 | + | 22.3404i | 0.636998 | + | 1.10331i | ||||
\(411\) | −6.72028 | + | 11.6399i | −0.331487 | + | 0.574153i | ||||
\(412\) | −0.243128 | + | 1.37885i | −0.0119781 | + | 0.0679310i | ||||
\(413\) | −0.824733 | + | 0.692033i | −0.0405825 | + | 0.0340527i | ||||
\(414\) | −2.91005 | − | 2.44182i | −0.143021 | − | 0.120009i | ||||
\(415\) | −0.714304 | − | 4.05102i | −0.0350638 | − | 0.198857i | ||||
\(416\) | 4.36207 | + | 1.58766i | 0.213868 | + | 0.0778416i | ||||
\(417\) | 47.9686 | 2.34903 | ||||||||
\(418\) | −17.0825 | + | 3.18156i | −0.835533 | + | 0.155615i | ||||
\(419\) | 19.6277 | 0.958875 | 0.479438 | − | 0.877576i | \(-0.340841\pi\) | ||||
0.479438 | + | 0.877576i | \(0.340841\pi\) | |||||||
\(420\) | 8.27336 | + | 3.01125i | 0.403698 | + | 0.146934i | ||||
\(421\) | 2.98215 | + | 16.9126i | 0.145341 | + | 0.824271i | 0.967093 | + | 0.254425i | \(0.0818861\pi\) |
−0.821751 | + | 0.569846i | \(0.807003\pi\) | |||||||
\(422\) | −2.44692 | − | 2.05321i | −0.119114 | − | 0.0999489i | ||||
\(423\) | 26.6704 | − | 22.3791i | 1.29676 | − | 1.08811i | ||||
\(424\) | 1.58229 | − | 8.97359i | 0.0768426 | − | 0.435796i | ||||
\(425\) | −6.60056 | + | 11.4325i | −0.320174 | + | 0.554558i | ||||
\(426\) | −6.43023 | − | 11.1375i | −0.311545 | − | 0.539613i | ||||
\(427\) | 1.44455 | − | 0.525775i | 0.0699069 | − | 0.0254440i | ||||
\(428\) | 17.2477 | − | 6.27766i | 0.833700 | − | 0.303442i | ||||
\(429\) | −29.6928 | − | 51.4295i | −1.43358 | − | 2.48304i | ||||
\(430\) | 3.50668 | − | 6.07376i | 0.169107 | − | 0.292903i | ||||
\(431\) | 5.62362 | − | 31.8932i | 0.270880 | − | 1.53624i | −0.480870 | − | 0.876792i | \(-0.659679\pi\) |
0.751751 | − | 0.659448i | \(-0.229210\pi\) | |||||||
\(432\) | −10.5683 | + | 8.86782i | −0.508465 | + | 0.426653i | ||||
\(433\) | 28.3050 | + | 23.7508i | 1.36025 | + | 1.14139i | 0.975904 | + | 0.218201i | \(0.0700187\pi\) |
0.384350 | + | 0.923188i | \(0.374426\pi\) | |||||||
\(434\) | −0.240498 | − | 1.36393i | −0.0115443 | − | 0.0654709i | ||||
\(435\) | −48.2852 | − | 17.5744i | −2.31510 | − | 0.842626i | ||||
\(436\) | −8.49097 | −0.406643 | ||||||||
\(437\) | −1.44150 | + | 1.75181i | −0.0689564 | + | 0.0838005i | ||||
\(438\) | −1.35689 | −0.0648349 | ||||||||
\(439\) | 16.0579 | + | 5.84460i | 0.766402 | + | 0.278947i | 0.695491 | − | 0.718535i | \(-0.255187\pi\) |
0.0709112 | + | 0.997483i | \(0.477409\pi\) | |||||||
\(440\) | 1.89911 | + | 10.7704i | 0.0905367 | + | 0.513459i | ||||
\(441\) | 5.59126 | + | 4.69162i | 0.266251 | + | 0.223411i | ||||
\(442\) | −18.5791 | + | 15.5897i | −0.883718 | + | 0.741528i | ||||
\(443\) | 2.25389 | − | 12.7825i | 0.107086 | − | 0.607313i | −0.883281 | − | 0.468844i | \(-0.844671\pi\) |
0.990367 | − | 0.138469i | \(-0.0442182\pi\) | |||||||
\(444\) | 15.1503 | − | 26.2411i | 0.719002 | − | 1.24535i | ||||
\(445\) | −12.0419 | − | 20.8572i | −0.570842 | − | 0.988728i | ||||
\(446\) | −6.68834 | + | 2.43436i | −0.316702 | + | 0.115270i | ||||
\(447\) | −0.0519374 | + | 0.0189037i | −0.00245656 | + | 0.000894113i | ||||
\(448\) | −0.500000 | − | 0.866025i | −0.0236228 | − | 0.0409159i | ||||
\(449\) | −2.06509 | + | 3.57684i | −0.0974575 | + | 0.168801i | −0.910632 | − | 0.413219i | \(-0.864404\pi\) |
0.813174 | + | 0.582021i | \(0.197738\pi\) | |||||||
\(450\) | −3.20237 | + | 18.1616i | −0.150961 | + | 0.856144i | ||||
\(451\) | −28.7140 | + | 24.0939i | −1.35209 | + | 1.13454i | ||||
\(452\) | −6.17713 | − | 5.18323i | −0.290548 | − | 0.243799i | ||||
\(453\) | −3.87290 | − | 21.9643i | −0.181965 | − | 1.03197i | ||||
\(454\) | 14.1762 | + | 5.15973i | 0.665324 | + | 0.242158i | ||||
\(455\) | 12.7353 | 0.597038 | ||||||||
\(456\) | 9.09414 | + | 10.6290i | 0.425872 | + | 0.497747i | ||||
\(457\) | 32.4479 | 1.51785 | 0.758925 | − | 0.651178i | \(-0.225725\pi\) | ||||
0.758925 | + | 0.651178i | \(0.225725\pi\) | |||||||
\(458\) | 0.757673 | + | 0.275770i | 0.0354037 | + | 0.0128859i | ||||
\(459\) | −12.5165 | − | 70.9848i | −0.584222 | − | 3.31329i | ||||
\(460\) | 1.09382 | + | 0.917823i | 0.0509996 | + | 0.0427937i | ||||
\(461\) | 14.5607 | − | 12.2178i | 0.678158 | − | 0.569042i | −0.237310 | − | 0.971434i | \(-0.576266\pi\) |
0.915467 | + | 0.402392i | \(0.131821\pi\) | |||||||
\(462\) | −2.22149 | + | 12.5987i | −0.103353 | + | 0.586145i | ||||
\(463\) | −5.89502 | + | 10.2105i | −0.273965 | + | 0.474521i | −0.969873 | − | 0.243609i | \(-0.921669\pi\) |
0.695909 | + | 0.718130i | \(0.255002\pi\) | |||||||
\(464\) | 2.91811 | + | 5.05432i | 0.135470 | + | 0.234641i | ||||
\(465\) | 11.4584 | − | 4.17051i | 0.531370 | − | 0.193403i | ||||
\(466\) | −8.86853 | + | 3.22788i | −0.410827 | + | 0.149529i | ||||
\(467\) | 15.5327 | + | 26.9034i | 0.718766 | + | 1.24494i | 0.961489 | + | 0.274844i | \(0.0886261\pi\) |
−0.242723 | + | 0.970096i | \(0.578041\pi\) | |||||||
\(468\) | −16.9407 | + | 29.3422i | −0.783086 | + | 1.35634i | ||||
\(469\) | 2.13745 | − | 12.1221i | 0.0986984 | − | 0.559746i | ||||
\(470\) | −10.0248 | + | 8.41177i | −0.462408 | + | 0.388006i | ||||
\(471\) | 51.4059 | + | 43.1347i | 2.36866 | + | 1.98754i | ||||
\(472\) | 0.186952 | + | 1.06026i | 0.00860516 | + | 0.0488023i | ||||
\(473\) | 9.57616 | + | 3.48544i | 0.440312 | + | 0.160261i | ||||
\(474\) | 41.0390 | 1.88499 | ||||||||
\(475\) | 10.8640 | + | 1.80821i | 0.498474 | + | 0.0829663i | ||||
\(476\) | 5.22474 | 0.239475 | ||||||||
\(477\) | 62.4966 | + | 22.7469i | 2.86152 | + | 1.04151i | ||||
\(478\) | 0.337372 | + | 1.91333i | 0.0154310 | + | 0.0875138i | ||||
\(479\) | −10.7640 | − | 9.03208i | −0.491820 | − | 0.412686i | 0.362858 | − | 0.931845i | \(-0.381801\pi\) |
−0.854678 | + | 0.519158i | \(0.826246\pi\) | |||||||
\(480\) | 6.74450 | − | 5.65931i | 0.307843 | − | 0.258311i | ||||
\(481\) | 7.61086 | − | 43.1633i | 0.347025 | − | 1.96808i | ||||
\(482\) | 11.7127 | − | 20.2870i | 0.533500 | − | 0.924050i | ||||
\(483\) | 0.835133 | + | 1.44649i | 0.0379998 | + | 0.0658177i | ||||
\(484\) | −4.59633 | + | 1.67293i | −0.208924 | + | 0.0760421i | ||||
\(485\) | −11.9053 | + | 4.33319i | −0.540594 | + | 0.196760i | ||||
\(486\) | −15.2120 | − | 26.3480i | −0.690031 | − | 1.19517i | ||||
\(487\) | 5.24593 | − | 9.08621i | 0.237716 | − | 0.411736i | −0.722343 | − | 0.691535i | \(-0.756935\pi\) |
0.960058 | + | 0.279800i | \(0.0902680\pi\) | |||||||
\(488\) | 0.266943 | − | 1.51391i | 0.0120839 | − | 0.0685314i | ||||
\(489\) | −21.9764 | + | 18.4404i | −0.993806 | + | 0.833902i | ||||
\(490\) | −2.10162 | − | 1.76347i | −0.0949417 | − | 0.0796655i | ||||
\(491\) | −0.242185 | − | 1.37350i | −0.0109297 | − | 0.0619853i | 0.978855 | − | 0.204555i | \(-0.0655747\pi\) |
−0.989785 | + | 0.142570i | \(0.954464\pi\) | |||||||
\(492\) | 28.3557 | + | 10.3206i | 1.27837 | + | 0.465289i | ||||
\(493\) | −30.4928 | −1.37332 | ||||||||
\(494\) | 17.6196 | + | 9.94828i | 0.792742 | + | 0.447594i | ||||
\(495\) | −79.8246 | −3.58785 | ||||||||
\(496\) | −1.30145 | − | 0.473689i | −0.0584369 | − | 0.0212693i | ||||
\(497\) | 0.695876 | + | 3.94651i | 0.0312143 | + | 0.177025i | ||||
\(498\) | −3.68605 | − | 3.09296i | −0.165176 | − | 0.138599i | ||||
\(499\) | 16.0583 | − | 13.4745i | 0.718869 | − | 0.603203i | −0.208203 | − | 0.978086i | \(-0.566761\pi\) |
0.927072 | + | 0.374883i | \(0.122317\pi\) | |||||||
\(500\) | −1.17830 | + | 6.68247i | −0.0526952 | + | 0.298849i | ||||
\(501\) | −29.1091 | + | 50.4184i | −1.30050 | + | 2.25253i | ||||
\(502\) | 0.732301 | + | 1.26838i | 0.0326842 | + | 0.0566107i | ||||
\(503\) | −23.0491 | + | 8.38919i | −1.02771 | + | 0.374056i | −0.800208 | − | 0.599722i | \(-0.795278\pi\) |
−0.227501 | + | 0.973778i | \(0.573056\pi\) | |||||||
\(504\) | 6.85870 | − | 2.49636i | 0.305511 | − | 0.111197i | ||||
\(505\) | −6.95932 | − | 12.0539i | −0.309685 | − | 0.536391i | ||||
\(506\) | −1.03739 | + | 1.79681i | −0.0461174 | + | 0.0798778i | ||||
\(507\) | −4.76371 | + | 27.0163i | −0.211564 | + | 1.19984i | ||||
\(508\) | −10.0674 | + | 8.44754i | −0.446668 | + | 0.374799i | ||||
\(509\) | −7.39246 | − | 6.20301i | −0.327665 | − | 0.274944i | 0.464083 | − | 0.885792i | \(-0.346384\pi\) |
−0.791748 | + | 0.610848i | \(0.790829\pi\) | |||||||
\(510\) | 7.98786 | + | 45.3014i | 0.353709 | + | 2.00598i | ||||
\(511\) | 0.397317 | + | 0.144612i | 0.0175763 | + | 0.00639724i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −51.7871 | + | 30.5662i | −2.28646 | + | 1.34953i | ||||
\(514\) | 20.5292 | 0.905505 | ||||||||
\(515\) | 3.60954 | + | 1.31377i | 0.159055 | + | 0.0578914i | ||||
\(516\) | −1.42459 | − | 8.07927i | −0.0627142 | − | 0.355670i | ||||
\(517\) | −14.5664 | − | 12.2227i | −0.640631 | − | 0.537553i | ||||
\(518\) | −7.23287 | + | 6.06910i | −0.317794 | + | 0.266661i | ||||
\(519\) | −1.10177 | + | 6.24846i | −0.0483624 | + | 0.274277i | ||||
\(520\) | 6.36763 | − | 11.0291i | 0.279239 | − | 0.483656i | ||||
\(521\) | 11.2092 | + | 19.4148i | 0.491082 | + | 0.850579i | 0.999947 | − | 0.0102674i | \(-0.00326827\pi\) |
−0.508865 | + | 0.860846i | \(0.669935\pi\) | |||||||
\(522\) | −40.0289 | + | 14.5693i | −1.75202 | + | 0.637682i | ||||
\(523\) | −36.4062 | + | 13.2508i | −1.59193 | + | 0.579416i | −0.977755 | − | 0.209751i | \(-0.932735\pi\) |
−0.614178 | + | 0.789167i | \(0.710512\pi\) | |||||||
\(524\) | −9.16039 | − | 15.8663i | −0.400173 | − | 0.693121i | ||||
\(525\) | 4.05425 | − | 7.02217i | 0.176942 | − | 0.306473i | ||||
\(526\) | −3.00782 | + | 17.0582i | −0.131147 | + | 0.743772i | ||||
\(527\) | 5.54320 | − | 4.65130i | 0.241466 | − | 0.202614i | ||||
\(528\) | 9.80006 | + | 8.22323i | 0.426493 | + | 0.357870i | ||||
\(529\) | −3.94687 | − | 22.3838i | −0.171603 | − | 0.973209i | ||||
\(530\) | −23.4910 | − | 8.55003i | −1.02038 | − | 0.371389i | ||||
\(531\) | −7.85806 | −0.341011 | ||||||||
\(532\) | −1.53010 | − | 4.08152i | −0.0663383 | − | 0.176956i | ||||
\(533\) | 43.6481 | 1.89061 | ||||||||
\(534\) | −26.4732 | − | 9.63544i | −1.14561 | − | 0.416966i | ||||
\(535\) | −8.74414 | − | 49.5905i | −0.378042 | − | 2.14398i | ||||
\(536\) | −9.42931 | − | 7.91213i | −0.407284 | − | 0.341752i | ||||
\(537\) | −47.7448 | + | 40.0627i | −2.06034 | + | 1.72883i | ||||
\(538\) | 1.91833 | − | 10.8794i | 0.0827052 | − | 0.469045i | ||||
\(539\) | 1.99320 | − | 3.45232i | 0.0858530 | − | 0.148702i | ||||
\(540\) | 18.9243 | + | 32.7779i | 0.814373 | + | 1.41054i | ||||
\(541\) | 10.3815 | − | 3.77854i | 0.446334 | − | 0.162452i | −0.109068 | − | 0.994034i | \(-0.534787\pi\) |
0.555402 | + | 0.831582i | \(0.312564\pi\) | |||||||
\(542\) | 25.2490 | − | 9.18989i | 1.08454 | − | 0.394739i | ||||
\(543\) | 4.08372 | + | 7.07320i | 0.175249 | + | 0.303540i | ||||
\(544\) | 2.61237 | − | 4.52476i | 0.112004 | − | 0.193997i | ||||
\(545\) | −4.04509 | + | 22.9409i | −0.173273 | + | 0.982678i | ||||
\(546\) | 11.4118 | − | 9.57566i | 0.488381 | − | 0.409801i | ||||
\(547\) | −24.7783 | − | 20.7915i | −1.05944 | − | 0.888979i | −0.0653888 | − | 0.997860i | \(-0.520829\pi\) |
−0.994055 | + | 0.108881i | \(0.965273\pi\) | |||||||
\(548\) | −0.727266 | − | 4.12453i | −0.0310672 | − | 0.176191i | ||||
\(549\) | 10.5436 | + | 3.83756i | 0.449991 | + | 0.163783i | ||||
\(550\) | 10.0722 | 0.429482 | ||||||||
\(551\) | 8.93001 | + | 23.8207i | 0.380431 | + | 1.01479i | ||||
\(552\) | 1.67027 | 0.0710912 | ||||||||
\(553\) | −12.0168 | − | 4.37375i | −0.511006 | − | 0.185991i | ||||
\(554\) | 3.11836 | + | 17.6851i | 0.132486 | + | 0.751367i | ||||
\(555\) | −63.6805 | − | 53.4343i | −2.70309 | − | 2.26816i | ||||
\(556\) | −11.4503 | + | 9.60792i | −0.485600 | + | 0.407467i | ||||
\(557\) | −0.687235 | + | 3.89750i | −0.0291191 | + | 0.165143i | −0.995900 | − | 0.0904654i | \(-0.971165\pi\) |
0.966781 | + | 0.255608i | \(0.0822756\pi\) | |||||||
\(558\) | 5.05438 | − | 8.75444i | 0.213969 | − | 0.370605i | ||||
\(559\) | −5.93338 | − | 10.2769i | −0.250955 | − | 0.434667i | ||||
\(560\) | −2.57802 | + | 0.938324i | −0.108941 | + | 0.0396514i | ||||
\(561\) | −62.8095 | + | 22.8608i | −2.65182 | + | 0.965183i | ||||
\(562\) | 4.17787 | + | 7.23628i | 0.176233 | + | 0.305244i | ||||
\(563\) | 5.42183 | − | 9.39088i | 0.228503 | − | 0.395779i | −0.728862 | − | 0.684661i | \(-0.759950\pi\) |
0.957365 | + | 0.288882i | \(0.0932836\pi\) | |||||||
\(564\) | −2.65818 | + | 15.0753i | −0.111930 | + | 0.634784i | ||||
\(565\) | −16.9468 | + | 14.2201i | −0.712957 | + | 0.598242i | ||||
\(566\) | −7.57664 | − | 6.35756i | −0.318470 | − | 0.267228i | ||||
\(567\) | 3.88571 | + | 22.0370i | 0.163185 | + | 0.925465i | ||||
\(568\) | 3.76571 | + | 1.37061i | 0.158006 | + | 0.0575094i | ||||
\(569\) | 35.0709 | 1.47025 | 0.735123 | − | 0.677933i | \(-0.237124\pi\) | ||||
0.735123 | + | 0.677933i | \(0.237124\pi\) | |||||||
\(570\) | 33.0498 | − | 19.5069i | 1.38430 | − | 0.817053i | ||||
\(571\) | 4.49506 | 0.188112 | 0.0940561 | − | 0.995567i | \(-0.470017\pi\) | ||||
0.0940561 | + | 0.995567i | \(0.470017\pi\) | |||||||
\(572\) | 17.3889 | + | 6.32904i | 0.727067 | + | 0.264631i | ||||
\(573\) | 10.1236 | + | 57.4139i | 0.422921 | + | 2.39850i | ||||
\(574\) | −7.20299 | − | 6.04403i | −0.300647 | − | 0.252273i | ||||
\(575\) | 1.00737 | − | 0.845287i | 0.0420104 | − | 0.0352509i | ||||
\(576\) | 1.26744 | − | 7.18799i | 0.0528098 | − | 0.299499i | ||||
\(577\) | 16.6507 | − | 28.8399i | 0.693179 | − | 1.20062i | −0.277611 | − | 0.960693i | \(-0.589543\pi\) |
0.970791 | − | 0.239928i | \(-0.0771239\pi\) | |||||||
\(578\) | 5.14894 | + | 8.91823i | 0.214168 | + | 0.370950i | ||||
\(579\) | 37.7878 | − | 13.7536i | 1.57041 | − | 0.571582i | ||||
\(580\) | 15.0459 | − | 5.47627i | 0.624748 | − | 0.227390i | ||||
\(581\) | 0.749691 | + | 1.29850i | 0.0311024 | + | 0.0538710i | ||||
\(582\) | −7.41003 | + | 12.8345i | −0.307156 | + | 0.532009i | ||||
\(583\) | 6.30761 | − | 35.7722i | 0.261235 | − | 1.48153i | ||||
\(584\) | 0.323896 | − | 0.271781i | 0.0134029 | − | 0.0112464i | ||||
\(585\) | 71.2061 | + | 59.7490i | 2.94401 | + | 2.47032i | ||||
\(586\) | 4.44501 | + | 25.2089i | 0.183622 | + | 1.04137i | ||||
\(587\) | −2.82298 | − | 1.02748i | −0.116517 | − | 0.0424087i | 0.283104 | − | 0.959089i | \(-0.408636\pi\) |
−0.399621 | + | 0.916681i | \(0.630858\pi\) | |||||||
\(588\) | −3.20919 | −0.132345 | ||||||||
\(589\) | −5.25691 | − | 2.96813i | −0.216607 | − | 0.122300i | ||||
\(590\) | 2.95366 | 0.121600 | ||||||||
\(591\) | −33.3304 | − | 12.1313i | −1.37103 | − | 0.499013i | ||||
\(592\) | 1.63956 | + | 9.29840i | 0.0673855 | + | 0.382162i | ||||
\(593\) | 9.53295 | + | 7.99910i | 0.391471 | + | 0.328484i | 0.817186 | − | 0.576374i | \(-0.195533\pi\) |
−0.425715 | + | 0.904857i | \(0.639977\pi\) | |||||||
\(594\) | −42.1292 | + | 35.3506i | −1.72858 | + | 1.45045i | ||||
\(595\) | 2.48906 | − | 14.1162i | 0.102042 | − | 0.578707i | ||||
\(596\) | 0.00861132 | − | 0.0149152i | 0.000352733 | − | 0.000610952i | ||||
\(597\) | −3.88838 | − | 6.73488i | −0.159141 | − | 0.275640i | ||||
\(598\) | 2.27030 | − | 0.826321i | 0.0928394 | − | 0.0337908i | ||||
\(599\) | 32.0256 | − | 11.6564i | 1.30853 | − | 0.476266i | 0.408765 | − | 0.912640i | \(-0.365960\pi\) |
0.899766 | + | 0.436373i | \(0.143737\pi\) | |||||||
\(600\) | −4.05425 | − | 7.02217i | −0.165514 | − | 0.286679i | ||||
\(601\) | 6.66239 | − | 11.5396i | 0.271764 | − | 0.470710i | −0.697549 | − | 0.716537i | \(-0.745726\pi\) |
0.969314 | + | 0.245827i | \(0.0790595\pi\) | |||||||
\(602\) | −0.443911 | + | 2.51754i | −0.0180925 | + | 0.102607i | ||||
\(603\) | 68.8234 | − | 57.7496i | 2.80270 | − | 2.35175i | ||||
\(604\) | 5.32384 | + | 4.46724i | 0.216624 | + | 0.181769i | ||||
\(605\) | 2.33022 | + | 13.2153i | 0.0947368 | + | 0.537279i | ||||
\(606\) | −15.2995 | − | 5.56855i | −0.621498 | − | 0.226207i | ||||
\(607\) | −42.2842 | −1.71626 | −0.858132 | − | 0.513430i | \(-0.828375\pi\) | ||||
−0.858132 | + | 0.513430i | \(0.828375\pi\) | |||||||
\(608\) | −4.29975 | − | 0.715653i | −0.174378 | − | 0.0290236i | ||||
\(609\) | 18.7295 | 0.758959 | ||||||||
\(610\) | −3.96310 | − | 1.44245i | −0.160461 | − | 0.0584031i | ||||
\(611\) | 3.84500 | + | 21.8061i | 0.155552 | + | 0.882179i | ||||
\(612\) | 29.2129 | + | 24.5125i | 1.18086 | + | 0.990859i | ||||
\(613\) | 17.9617 | − | 15.0716i | 0.725465 | − | 0.608737i | −0.203426 | − | 0.979090i | \(-0.565208\pi\) |
0.928891 | + | 0.370353i | \(0.120763\pi\) | |||||||
\(614\) | −1.61384 | + | 9.15254i | −0.0651293 | + | 0.369366i | ||||
\(615\) | 41.3928 | − | 71.6945i | 1.66912 | − | 2.89100i | ||||
\(616\) | −1.99320 | − | 3.45232i | −0.0803081 | − | 0.139098i | ||||
\(617\) | −20.0968 | + | 7.31462i | −0.809065 | + | 0.294476i | −0.713238 | − | 0.700922i | \(-0.752772\pi\) |
−0.0958277 | + | 0.995398i | \(0.530550\pi\) | |||||||
\(618\) | 4.22227 | − | 1.53678i | 0.169845 | − | 0.0618184i | ||||
\(619\) | −10.6604 | − | 18.4643i | −0.428477 | − | 0.742144i | 0.568261 | − | 0.822848i | \(-0.307616\pi\) |
−0.996738 | + | 0.0807043i | \(0.974283\pi\) | |||||||
\(620\) | −1.89982 | + | 3.29059i | −0.0762987 | + | 0.132153i | ||||
\(621\) | −1.24684 | + | 7.07117i | −0.0500339 | + | 0.283756i | ||||
\(622\) | 5.38906 | − | 4.52196i | 0.216082 | − | 0.181314i | ||||
\(623\) | 6.72479 | + | 5.64277i | 0.269423 | + | 0.226073i | ||||
\(624\) | −2.58685 | − | 14.6708i | −0.103557 | − | 0.587301i | ||||
\(625\) | 29.3647 | + | 10.6879i | 1.17459 | + | 0.427515i | ||||
\(626\) | −29.7865 | −1.19051 | ||||||||
\(627\) | 36.2528 | + | 42.3713i | 1.44780 | + | 1.69214i | ||||
\(628\) | −20.9105 | −0.834419 | ||||||||
\(629\) | −46.3561 | − | 16.8723i | −1.84834 | − | 0.672741i | ||||
\(630\) | −3.47718 | − | 19.7201i | −0.138534 | − | 0.785666i | ||||
\(631\) | 11.1397 | + | 9.34734i | 0.443466 | + | 0.372112i | 0.837004 | − | 0.547196i | \(-0.184305\pi\) |
−0.393539 | + | 0.919308i | \(0.628749\pi\) | |||||||
\(632\) | −9.79617 | + | 8.21996i | −0.389671 | + | 0.326973i | ||||
\(633\) | −1.78005 | + | 10.0952i | −0.0707505 | + | 0.401246i | ||||
\(634\) | 9.49264 | − | 16.4417i | 0.377001 | − | 0.652985i | ||||
\(635\) | 18.0274 | + | 31.2244i | 0.715397 | + | 1.23910i | ||||
\(636\) | −27.4787 | + | 10.0014i | −1.08960 | + | 0.396582i | ||||
\(637\) | −4.36207 | + | 1.58766i | −0.172831 | + | 0.0629055i | ||||
\(638\) | 11.6327 | + | 20.1485i | 0.460545 | + | 0.797687i | ||||
\(639\) | −14.6247 | + | 25.3307i | −0.578544 | + | 1.00207i | ||||
\(640\) | −0.476399 | + | 2.70180i | −0.0188313 | + | 0.106798i | ||||
\(641\) | −4.76204 | + | 3.99583i | −0.188089 | + | 0.157826i | −0.731970 | − | 0.681337i | \(-0.761399\pi\) |
0.543881 | + | 0.839163i | \(0.316954\pi\) | |||||||
\(642\) | −45.1227 | − | 37.8624i | −1.78085 | − | 1.49431i | ||||
\(643\) | 6.74890 | + | 38.2749i | 0.266151 | + | 1.50942i | 0.765738 | + | 0.643152i | \(0.222374\pi\) |
−0.499588 | + | 0.866263i | \(0.666515\pi\) | |||||||
\(644\) | −0.489076 | − | 0.178009i | −0.0192723 | − | 0.00701454i | ||||
\(645\) | −22.5072 | −0.886220 | ||||||||
\(646\) | 14.4707 | − | 17.5858i | 0.569342 | − | 0.691903i | ||||
\(647\) | −26.3165 | −1.03461 | −0.517303 | − | 0.855802i | \(-0.673064\pi\) | ||||
−0.517303 | + | 0.855802i | \(0.673064\pi\) | |||||||
\(648\) | 21.0274 | + | 7.65336i | 0.826035 | + | 0.300652i | ||||
\(649\) | 0.745263 | + | 4.22660i | 0.0292541 | + | 0.165908i | ||||
\(650\) | −8.98476 | − | 7.53911i | −0.352411 | − | 0.295708i | ||||
\(651\) | −3.40479 | + | 2.85696i | −0.133444 | + | 0.111973i | ||||
\(652\) | 1.55231 | − | 8.80356i | 0.0607930 | − | 0.344774i | ||||
\(653\) | −10.8052 | + | 18.7151i | −0.422840 | + | 0.732380i | −0.996216 | − | 0.0869125i | \(-0.972300\pi\) |
0.573376 | + | 0.819292i | \(0.305633\pi\) | |||||||
\(654\) | 13.6245 | + | 23.5984i | 0.532762 | + | 0.922770i | ||||
\(655\) | −47.2314 | + | 17.1908i | −1.84548 | + | 0.671701i | ||||
\(656\) | −8.83578 | + | 3.21596i | −0.344979 | + | 0.125562i | ||||
\(657\) | 1.54304 | + | 2.67262i | 0.0601997 | + | 0.104269i | ||||
\(658\) | 2.38500 | − | 4.13095i | 0.0929771 | − | 0.161041i | ||||
\(659\) | 1.12073 | − | 6.35600i | 0.0436576 | − | 0.247595i | −0.955167 | − | 0.296068i | \(-0.904324\pi\) |
0.998824 | + | 0.0484734i | \(0.0154356\pi\) | |||||||
\(660\) | 26.8862 | − | 22.5602i | 1.04654 | − | 0.878155i | ||||
\(661\) | 4.69666 | + | 3.94097i | 0.182679 | + | 0.153286i | 0.729541 | − | 0.683937i | \(-0.239734\pi\) |
−0.546863 | + | 0.837222i | \(0.684178\pi\) | |||||||
\(662\) | 1.50762 | + | 8.55012i | 0.0585952 | + | 0.332310i | ||||
\(663\) | 73.1395 | + | 26.6206i | 2.84050 | + | 1.03386i | ||||
\(664\) | 1.49938 | 0.0581873 | ||||||||
\(665\) | −11.7564 | + | 2.18959i | −0.455892 | + | 0.0849085i | ||||
\(666\) | −68.9148 | −2.67040 | ||||||||
\(667\) | 2.85436 | + | 1.03890i | 0.110521 | + | 0.0402264i | ||||
\(668\) | −3.15017 | − | 17.8655i | −0.121884 | − | 0.691237i | ||||
\(669\) | 17.4977 | + | 14.6823i | 0.676501 | + | 0.567652i | ||||
\(670\) | −25.8691 | + | 21.7067i | −0.999410 | + | 0.838605i | ||||
\(671\) | 1.06414 | − | 6.03503i | 0.0410806 | − | 0.232980i | ||||
\(672\) | −1.60459 | + | 2.77924i | −0.0618985 | + | 0.107211i | ||||
\(673\) | −4.81903 | − | 8.34680i | −0.185760 | − | 0.321745i | 0.758073 | − | 0.652170i | \(-0.226141\pi\) |
−0.943832 | + | 0.330425i | \(0.892808\pi\) | |||||||
\(674\) | 15.7768 | − | 5.74230i | 0.607701 | − | 0.221185i | ||||
\(675\) | 32.7553 | − | 11.9219i | 1.26075 | − | 0.458876i | ||||
\(676\) | −4.27415 | − | 7.40305i | −0.164391 | − | 0.284733i | ||||
\(677\) | −0.859818 | + | 1.48925i | −0.0330455 | + | 0.0572364i | −0.882075 | − | 0.471109i | \(-0.843854\pi\) |
0.849030 | + | 0.528345i | \(0.177187\pi\) | |||||||
\(678\) | −4.49364 | + | 25.4847i | −0.172577 | + | 0.978733i | ||||
\(679\) | 3.53760 | − | 2.96840i | 0.135761 | − | 0.113917i | ||||
\(680\) | −10.9804 | − | 9.21368i | −0.421080 | − | 0.353328i | ||||
\(681\) | −8.40699 | − | 47.6784i | −0.322157 | − | 1.82704i | ||||
\(682\) | −5.18809 | − | 1.88831i | −0.198662 | − | 0.0723072i | ||||
\(683\) | 9.63395 | 0.368633 | 0.184317 | − | 0.982867i | \(-0.440993\pi\) | ||||
0.184317 | + | 0.982867i | \(0.440993\pi\) | |||||||
\(684\) | 10.5938 | − | 29.9995i | 0.405063 | − | 1.14706i | ||||
\(685\) | −11.4901 | −0.439014 | ||||||||
\(686\) | 0.939693 | + | 0.342020i | 0.0358776 | + | 0.0130584i | ||||
\(687\) | −0.449325 | − | 2.54825i | −0.0171428 | − | 0.0972218i | ||||
\(688\) | 1.95830 | + | 1.64321i | 0.0746596 | + | 0.0626468i | ||||
\(689\) | −32.4023 | + | 27.1887i | −1.23443 | + | 1.03581i | ||||
\(690\) | 0.795713 | − | 4.51271i | 0.0302923 | − | 0.171796i | ||||
\(691\) | −19.2841 | + | 33.4011i | −0.733602 | + | 1.27064i | 0.221732 | + | 0.975108i | \(0.428829\pi\) |
−0.955334 | + | 0.295528i | \(0.904504\pi\) | |||||||
\(692\) | −0.988545 | − | 1.71221i | −0.0375789 | − | 0.0650885i | ||||
\(693\) | 27.3414 | − | 9.95147i | 1.03862 | − | 0.378025i | ||||
\(694\) | 13.1445 | − | 4.78419i | 0.498957 | − | 0.181606i | ||||
\(695\) | 20.5037 | + | 35.5135i | 0.777751 | + | 1.34710i | ||||
\(696\) | 9.36477 | − | 16.2203i | 0.354971 | − | 0.614827i | ||||
\(697\) | 8.53088 | − | 48.3810i | 0.323130 | − | 1.83256i | ||||
\(698\) | 13.5706 | − | 11.3871i | 0.513654 | − | 0.431007i | ||||
\(699\) | 23.2014 | + | 19.4683i | 0.877558 | + | 0.736359i | ||||
\(700\) | 0.438749 | + | 2.48827i | 0.0165832 | + | 0.0940478i | ||||
\(701\) | 22.4392 | + | 8.16721i | 0.847518 | + | 0.308471i | 0.729028 | − | 0.684484i | \(-0.239972\pi\) |
0.118490 | + | 0.992955i | \(0.462195\pi\) | |||||||
\(702\) | 64.0407 | 2.41706 | ||||||||
\(703\) | 0.395259 | + | 41.1542i | 0.0149075 | + | 1.55216i | ||||
\(704\) | −3.98639 | −0.150243 | ||||||||
\(705\) | 39.4640 | + | 14.3637i | 1.48630 | + | 0.540969i | ||||
\(706\) | 1.36164 | + | 7.72226i | 0.0512461 | + | 0.290631i | ||||
\(707\) | 3.88642 | + | 3.26109i | 0.146164 | + | 0.122646i | ||||
\(708\) | 2.64672 | − | 2.22086i | 0.0994699 | − | 0.0834652i | ||||
\(709\) | −3.08465 | + | 17.4939i | −0.115847 | + | 0.656998i | 0.870481 | + | 0.492202i | \(0.163808\pi\) |
−0.986328 | + | 0.164797i | \(0.947303\pi\) | |||||||
\(710\) | 5.49708 | − | 9.52123i | 0.206302 | − | 0.357325i | ||||
\(711\) | −46.6690 | − | 80.8330i | −1.75022 | − | 3.03147i | ||||
\(712\) | 8.24918 | − | 3.00246i | 0.309151 | − | 0.112522i | ||||
\(713\) | −0.677358 | + | 0.246538i | −0.0253673 | + | 0.00923293i | ||||
\(714\) | −8.38358 | − | 14.5208i | −0.313747 | − | 0.543427i | ||||
\(715\) | 25.3838 | − | 43.9661i | 0.949302 | − | 1.64424i | ||||
\(716\) | 3.37247 | − | 19.1262i | 0.126035 | − | 0.714780i | ||||
\(717\) | 4.77626 | − | 4.00776i | 0.178373 | − | 0.149672i | ||||
\(718\) | −11.3158 | − | 9.49512i | −0.422304 | − | 0.354355i | ||||
\(719\) | −1.09514 | − | 6.21083i | −0.0408417 | − | 0.231625i | 0.957553 | − | 0.288256i | \(-0.0930753\pi\) |
−0.998395 | + | 0.0566309i | \(0.981964\pi\) | |||||||
\(720\) | −18.8167 | − | 6.84870i | −0.701256 | − | 0.255236i | ||||
\(721\) | −1.40012 | −0.0521432 | ||||||||
\(722\) | −17.9757 | − | 6.15426i | −0.668986 | − | 0.229038i | ||||
\(723\) | −75.1767 | −2.79585 | ||||||||
\(724\) | −2.39153 | − | 0.870447i | −0.0888806 | − | 0.0323499i | ||||
\(725\) | −2.56064 | − | 14.5221i | −0.0950997 | − | 0.539337i | ||||
\(726\) | 12.0247 | + | 10.0899i | 0.446278 | + | 0.374472i | ||||
\(727\) | −8.96626 | + | 7.52359i | −0.332540 | + | 0.279034i | −0.793734 | − | 0.608265i | \(-0.791866\pi\) |
0.461194 | + | 0.887299i | \(0.347421\pi\) | |||||||
\(728\) | −0.806078 | + | 4.57149i | −0.0298752 | + | 0.169431i | ||||
\(729\) | −15.2528 | + | 26.4187i | −0.564920 | + | 0.978470i | ||||
\(730\) | −0.579992 | − | 1.00458i | −0.0214665 | − | 0.0371810i | ||||
\(731\) | −12.5509 | + | 4.56817i | −0.464213 | + | 0.168960i | ||||
\(732\) | −4.63584 | + | 1.68731i | −0.171346 | + | 0.0623647i | ||||
\(733\) | −8.42648 | − | 14.5951i | −0.311239 | − | 0.539082i | 0.667392 | − | 0.744707i | \(-0.267411\pi\) |
−0.978631 | + | 0.205625i | \(0.934077\pi\) | |||||||
\(734\) | 2.71324 | − | 4.69947i | 0.100147 | − | 0.173460i | ||||
\(735\) | −1.52885 | + | 8.67056i | −0.0563926 | + | 0.319819i | ||||
\(736\) | −0.398698 | + | 0.334548i | −0.0146962 | + | 0.0123316i | ||||
\(737\) | −37.5889 | − | 31.5409i | −1.38461 | − | 1.16182i | ||||
\(738\) | −11.9175 | − | 67.5875i | −0.438689 | − | 2.48793i | ||||
\(739\) | −31.4944 | − | 11.4630i | −1.15854 | − | 0.421675i | −0.309965 | − | 0.950748i | \(-0.600317\pi\) |
−0.848576 | + | 0.529073i | \(0.822540\pi\) | |||||||
\(740\) | 25.9035 | 0.952230 | ||||||||
\(741\) | −0.623629 | − | 64.9319i | −0.0229096 | − | 2.38533i | ||||
\(742\) | 9.11202 | 0.334513 | ||||||||
\(743\) | −19.8703 | − | 7.23220i | −0.728971 | − | 0.265324i | −0.0492416 | − | 0.998787i | \(-0.515680\pi\) |
−0.679729 | + | 0.733463i | \(0.737903\pi\) | |||||||
\(744\) | 0.771804 | + | 4.37712i | 0.0282957 | + | 0.160473i | ||||
\(745\) | −0.0361955 | − | 0.0303716i | −0.00132610 | − | 0.00111273i | ||||
\(746\) | 23.1026 | − | 19.3853i | 0.845845 | − | 0.709748i | ||||
\(747\) | −1.90037 | + | 10.7775i | −0.0695309 | + | 0.394329i | ||||
\(748\) | 10.4139 | − | 18.0374i | 0.380771 | − | 0.659514i | ||||
\(749\) | 9.17732 | + | 15.8956i | 0.335332 | + | 0.580812i | ||||
\(750\) | 20.4629 | − | 7.44787i | 0.747198 | − | 0.271958i | ||||
\(751\) | 9.03156 | − | 3.28722i | 0.329566 | − | 0.119952i | −0.171937 | − | 0.985108i | \(-0.555003\pi\) |
0.501504 | + | 0.865156i | \(0.332780\pi\) | |||||||
\(752\) | −2.38500 | − | 4.13095i | −0.0869721 | − | 0.150640i | ||||
\(753\) | 2.35009 | − | 4.07048i | 0.0856420 | − | 0.148336i | ||||
\(754\) | 4.70445 | − | 26.6803i | 0.171326 | − | 0.971638i | ||||
\(755\) | 14.6058 | − | 12.2557i | 0.531561 | − | 0.446032i | ||||
\(756\) | −10.5683 | − | 8.86782i | −0.384364 | − | 0.322519i | ||||
\(757\) | 5.78152 | + | 32.7886i | 0.210133 | + | 1.19172i | 0.889155 | + | 0.457606i | \(0.151293\pi\) |
−0.679022 | + | 0.734118i | \(0.737596\pi\) | |||||||
\(758\) | 20.8450 | + | 7.58695i | 0.757123 | + | 0.275570i | ||||
\(759\) | 6.65833 | 0.241682 | ||||||||
\(760\) | −3.98195 | + | 11.2761i | −0.144440 | + | 0.409027i | ||||
\(761\) | −26.5600 | −0.962801 | −0.481400 | − | 0.876501i | \(-0.659872\pi\) | ||||
−0.481400 | + | 0.876501i | \(0.659872\pi\) | |||||||
\(762\) | 39.6318 | + | 14.4248i | 1.43571 | + | 0.522555i | ||||
\(763\) | −1.47444 | − | 8.36197i | −0.0533783 | − | 0.302724i | ||||
\(764\) | −13.9163 | − | 11.6772i | −0.503476 | − | 0.422466i | ||||
\(765\) | 80.1448 | − | 67.2495i | 2.89764 | − | 2.43141i | ||||
\(766\) | 2.35416 | − | 13.3511i | 0.0850593 | − | 0.482395i | ||||
\(767\) | 2.49883 | − | 4.32809i | 0.0902274 | − | 0.156278i | ||||
\(768\) | 1.60459 | + | 2.77924i | 0.0579008 | + | 0.100287i | ||||
\(769\) | −6.02900 | + | 2.19438i | −0.217411 | + | 0.0791313i | −0.448430 | − | 0.893818i | \(-0.648017\pi\) |
0.231018 | + | 0.972949i | \(0.425794\pi\) | |||||||
\(770\) | −10.2770 | + | 3.74053i | −0.370358 | + | 0.134799i | ||||
\(771\) | −32.9410 | − | 57.0555i | −1.18634 | − | 2.05481i | ||||
\(772\) | −6.26529 | + | 10.8518i | −0.225493 | + | 0.390565i | ||||
\(773\) | −5.71755 | + | 32.4258i | −0.205646 | + | 1.16628i | 0.690774 | + | 0.723071i | \(0.257270\pi\) |
−0.896420 | + | 0.443206i | \(0.853841\pi\) | |||||||
\(774\) | −14.2934 | + | 11.9936i | −0.513766 | + | 0.431100i | ||||
\(775\) | 2.68066 | + | 2.24934i | 0.0962922 | + | 0.0807987i | ||||
\(776\) | −0.801909 | − | 4.54785i | −0.0287869 | − | 0.163258i | ||||
\(777\) | 28.4733 | + | 10.3634i | 1.02147 | + | 0.371786i | ||||
\(778\) | −30.2938 | −1.08609 | ||||||||
\(779\) | −40.2932 | + | 7.50447i | −1.44365 | + | 0.268876i | ||||
\(780\) | −40.8698 | −1.46337 | ||||||||
\(781\) | 15.0116 | + | 5.46378i | 0.537157 | + | 0.195509i | ||||
\(782\) | −0.472199 | − | 2.67798i | −0.0168858 | − | 0.0957642i | ||||
\(783\) | 61.6787 | + | 51.7546i | 2.20422 | + | 1.84956i | ||||
\(784\) | 0.766044 | − | 0.642788i | 0.0273587 | − | 0.0229567i | ||||
\(785\) | −9.96174 | + | 56.4959i | −0.355550 | + | 2.01642i | ||||
\(786\) | −29.3974 | + | 50.9178i | −1.04857 | + | 1.81618i | ||||
\(787\) | −23.3880 | − | 40.5093i | −0.833694 | − | 1.44400i | −0.895090 | − | 0.445886i | \(-0.852889\pi\) |
0.0613959 | − | 0.998113i | \(-0.480445\pi\) | |||||||
\(788\) | 10.3859 | − | 3.78017i | 0.369983 | − | 0.134663i | ||||
\(789\) | 52.2350 | − | 19.0120i | 1.85962 | − | 0.676845i | ||||
\(790\) | 17.5418 | + | 30.3832i | 0.624108 | + | 1.08099i | ||||
\(791\) | 4.03184 | − | 6.98335i | 0.143356 | − | 0.248299i | ||||
\(792\) | 5.05249 | − | 28.6541i | 0.179533 | − | 1.01818i | ||||
\(793\) | −5.46649 | + | 4.58693i | −0.194121 | + | 0.162887i | ||||
\(794\) | 16.8093 | + | 14.1047i | 0.596541 | + | 0.500557i | ||||
\(795\) | 13.9310 | + | 79.0064i | 0.494080 | + | 2.80207i | ||||
\(796\) | 2.27714 | + | 0.828812i | 0.0807111 | + | 0.0293765i | ||||
\(797\) | −52.2887 | −1.85216 | −0.926080 | − | 0.377327i | \(-0.876843\pi\) | ||||
−0.926080 | + | 0.377327i | \(0.876843\pi\) | |||||||
\(798\) | −8.88832 | + | 10.8017i | −0.314643 | + | 0.382376i | ||||
\(799\) | 24.9220 | 0.881678 | ||||||||
\(800\) | 2.37428 | + | 0.864167i | 0.0839434 | + | 0.0305529i | ||||
\(801\) | 11.1263 | + | 63.1004i | 0.393129 | + | 2.22954i | ||||
\(802\) | −24.2977 | − | 20.3882i | −0.857981 | − | 0.719932i | ||||
\(803\) | 1.29117 | − | 1.08342i | 0.0455646 | − | 0.0382332i | ||||
\(804\) | −6.85948 | + | 38.9020i | −0.241915 | + | 1.37197i | ||||
\(805\) | −0.713940 | + | 1.23658i | −0.0251631 | + | 0.0435837i | ||||
\(806\) | 3.21454 | + | 5.56774i | 0.113227 | + | 0.196115i | ||||
\(807\) | −33.3146 | + | 12.1255i | −1.17273 | + | 0.426839i | ||||
\(808\) | 4.76740 | − | 1.73519i | 0.167716 | − | 0.0610438i | ||||
\(809\) | −21.1283 | − | 36.5953i | −0.742832 | − | 1.28662i | −0.951201 | − | 0.308572i | \(-0.900149\pi\) |
0.208369 | − | 0.978050i | \(-0.433184\pi\) | |||||||
\(810\) | 30.6953 | − | 53.1657i | 1.07852 | − | 1.86805i | ||||
\(811\) | −2.52228 | + | 14.3046i | −0.0885693 | + | 0.502302i | 0.907960 | + | 0.419057i | \(0.137639\pi\) |
−0.996529 | + | 0.0832444i | \(0.973472\pi\) | |||||||
\(812\) | −4.47081 | + | 3.75145i | −0.156895 | + | 0.131650i | ||||
\(813\) | −66.0552 | − | 55.4269i | −2.31666 | − | 1.94391i | ||||
\(814\) | 6.53592 | + | 37.0671i | 0.229084 | + | 1.29920i | ||||
\(815\) | −23.0459 | − | 8.38803i | −0.807263 | − | 0.293820i | ||||
\(816\) | −16.7672 | −0.586968 | ||||||||
\(817\) | 7.24424 | + | 8.46686i | 0.253444 | + | 0.296218i | ||||
\(818\) | 12.3597 | 0.432145 | ||||||||
\(819\) | −31.8382 | − | 11.5881i | −1.11252 | − | 0.404923i | ||||
\(820\) | 4.47951 | + | 25.4046i | 0.156431 | + | 0.887166i | ||||
\(821\) | 18.5178 | + | 15.5382i | 0.646274 | + | 0.542289i | 0.905938 | − | 0.423411i | \(-0.139167\pi\) |
−0.259663 | + | 0.965699i | \(0.583612\pi\) | |||||||
\(822\) | −10.2961 | + | 8.63943i | −0.359117 | + | 0.301335i | ||||
\(823\) | −8.38988 | + | 47.5814i | −0.292453 | + | 1.65858i | 0.384926 | + | 0.922947i | \(0.374227\pi\) |
−0.677379 | + | 0.735634i | \(0.736884\pi\) | |||||||
\(824\) | −0.700060 | + | 1.21254i | −0.0243877 | + | 0.0422408i | ||||
\(825\) | −16.1618 | − | 27.9931i | −0.562683 | − | 0.974595i | ||||
\(826\) | −1.01168 | + | 0.368223i | −0.0352010 | + | 0.0128121i | ||||
\(827\) | 16.4951 | − | 6.00374i | 0.573592 | − | 0.208770i | −0.0389057 | − | 0.999243i | \(-0.512387\pi\) |
0.612497 | + | 0.790473i | \(0.290165\pi\) | |||||||
\(828\) | −1.89940 | − | 3.28986i | −0.0660087 | − | 0.114330i | ||||
\(829\) | 3.86516 | − | 6.69465i | 0.134242 | − | 0.232515i | −0.791065 | − | 0.611732i | \(-0.790473\pi\) |
0.925308 | + | 0.379217i | \(0.123807\pi\) | |||||||
\(830\) | 0.714304 | − | 4.05102i | 0.0247939 | − | 0.140613i | ||||
\(831\) | 44.1473 | − | 37.0440i | 1.53145 | − | 1.28504i | ||||
\(832\) | 3.55599 | + | 2.98383i | 0.123282 | + | 0.103446i | ||||
\(833\) | 0.907266 | + | 5.14536i | 0.0314349 | + | 0.178276i | ||||
\(834\) | 45.0757 | + | 16.4062i | 1.56084 | + | 0.568101i | ||||
\(835\) | −49.7697 | −1.72235 | ||||||||
\(836\) | −17.1405 | − | 2.85287i | −0.592816 | − | 0.0986687i | ||||
\(837\) | −19.1069 | −0.660433 | ||||||||
\(838\) | 18.4440 | + | 6.71306i | 0.637137 | + | 0.231899i | ||||
\(839\) | −4.01460 | − | 22.7679i | −0.138599 | − | 0.786037i | −0.972285 | − | 0.233798i | \(-0.924885\pi\) |
0.833686 | − | 0.552239i | \(-0.186226\pi\) | |||||||
\(840\) | 6.74450 | + | 5.65931i | 0.232707 | + | 0.195265i | ||||
\(841\) | 3.87736 | − | 3.25350i | 0.133702 | − | 0.112189i | ||||
\(842\) | −2.98215 | + | 16.9126i | −0.102772 | + | 0.582848i | ||||
\(843\) | 13.4075 | − | 23.2226i | 0.461781 | − | 0.799827i | ||||
\(844\) | −1.59712 | − | 2.76629i | −0.0549750 | − | 0.0952195i | ||||
\(845\) | −22.0377 | + | 8.02108i | −0.758121 | + | 0.275934i | ||||
\(846\) | 32.7160 | − | 11.9077i | 1.12480 | − | 0.409394i | ||||
\(847\) | −2.44566 | − | 4.23600i | −0.0840337 | − | 0.145551i | ||||
\(848\) | 4.55601 | − | 7.89124i | 0.156454 | − | 0.270986i | ||||
\(849\) | −5.51173 | + | 31.2586i | −0.189162 | + | 1.07279i | ||||
\(850\) | −10.1126 | + | 8.48551i | −0.346861 | + | 0.291051i | ||||
\(851\) | 3.76445 | + | 3.15875i | 0.129044 | + | 0.108280i | ||||
\(852\) | −2.23319 | − | 12.6651i | −0.0765080 | − | 0.433898i | ||||
\(853\) | 25.4629 | + | 9.26775i | 0.871835 | + | 0.317322i | 0.738910 | − | 0.673804i | \(-0.235341\pi\) |
0.132925 | + | 0.991126i | \(0.457563\pi\) | |||||||
\(854\) | 1.53726 | 0.0526041 | ||||||||
\(855\) | −76.0056 | − | 42.9139i | −2.59934 | − | 1.46763i | ||||
\(856\) | 18.3546 | 0.627349 | ||||||||
\(857\) | 37.9139 | + | 13.7995i | 1.29512 | + | 0.471384i | 0.895403 | − | 0.445257i | \(-0.146888\pi\) |
0.399713 | + | 0.916640i | \(0.369110\pi\) | |||||||
\(858\) | −10.3122 | − | 58.4834i | −0.352053 | − | 1.99659i | ||||
\(859\) | −27.3971 | − | 22.9889i | −0.934779 | − | 0.784372i | 0.0418905 | − | 0.999122i | \(-0.486662\pi\) |
−0.976669 | + | 0.214750i | \(0.931106\pi\) | |||||||
\(860\) | 5.37255 | − | 4.50811i | 0.183203 | − | 0.153725i | ||||
\(861\) | −5.23991 | + | 29.7170i | −0.178576 | + | 1.01275i | ||||
\(862\) | 16.1926 | − | 28.0464i | 0.551521 | − | 0.955263i | ||||
\(863\) | 5.67098 | + | 9.82242i | 0.193042 | + | 0.334359i | 0.946257 | − | 0.323416i | \(-0.104831\pi\) |
−0.753215 | + | 0.657775i | \(0.771498\pi\) | |||||||
\(864\) | −12.9639 | + | 4.71847i | −0.441040 | + | 0.160526i | ||||
\(865\) | −5.09699 | + | 1.85515i | −0.173303 | + | 0.0630770i | ||||
\(866\) | 18.4748 | + | 31.9993i | 0.627799 | + | 1.08738i | ||||
\(867\) | 16.5239 | − | 28.6203i | 0.561182 | − | 0.971995i | ||||
\(868\) | 0.240498 | − | 1.36393i | 0.00816305 | − | 0.0462949i | ||||
\(869\) | −39.0514 | + | 32.7680i | −1.32473 | + | 1.11158i | ||||
\(870\) | −39.3624 | − | 33.0290i | −1.33451 | − | 1.11979i | ||||
\(871\) | 9.92208 | + | 56.2709i | 0.336197 | + | 1.90667i | ||||
\(872\) | −7.97890 | − | 2.90408i | −0.270200 | − | 0.0983446i | ||||
\(873\) | 33.7063 | 1.14078 | ||||||||
\(874\) | −1.95372 | + | 1.15314i | −0.0660857 | + | 0.0390056i | ||||
\(875\) | −6.78556 | −0.229394 | ||||||||
\(876\) | −1.27506 | − | 0.464085i | −0.0430804 | − | 0.0156800i | ||||
\(877\) | −3.67185 | − | 20.8241i | −0.123990 | − | 0.703180i | −0.981903 | − | 0.189385i | \(-0.939350\pi\) |
0.857913 | − | 0.513795i | \(-0.171761\pi\) | |||||||
\(878\) | 13.0905 | + | 10.9843i | 0.441784 | + | 0.370700i | ||||
\(879\) | 62.9290 | − | 52.8037i | 2.12254 | − | 1.78103i | ||||
\(880\) | −1.89911 | + | 10.7704i | −0.0640191 | + | 0.363071i | ||||
\(881\) | −7.76225 | + | 13.4446i | −0.261517 | + | 0.452960i | −0.966645 | − | 0.256119i | \(-0.917556\pi\) |
0.705128 | + | 0.709080i | \(0.250889\pi\) | |||||||
\(882\) | 3.64944 | + | 6.32101i | 0.122883 | + | 0.212839i | ||||
\(883\) | 4.93706 | − | 1.79694i | 0.166145 | − | 0.0604719i | −0.257608 | − | 0.966249i | \(-0.582934\pi\) |
0.423754 | + | 0.905777i | \(0.360712\pi\) | |||||||
\(884\) | −22.7907 | + | 8.29512i | −0.766533 | + | 0.278995i | ||||
\(885\) | −4.73942 | − | 8.20892i | −0.159314 | − | 0.275940i | ||||
\(886\) | 6.48983 | − | 11.2407i | 0.218030 | − | 0.377639i | ||||
\(887\) | 4.41134 | − | 25.0179i | 0.148118 | − | 0.840020i | −0.816692 | − | 0.577074i | \(-0.804195\pi\) |
0.964810 | − | 0.262947i | \(-0.0846943\pi\) | |||||||
\(888\) | 23.2116 | − | 19.4769i | 0.778931 | − | 0.653601i | ||||
\(889\) | −10.0674 | − | 8.44754i | −0.337649 | − | 0.283321i | ||||
\(890\) | −4.18212 | − | 23.7180i | −0.140185 | − | 0.795028i | ||||
\(891\) | 83.8235 | + | 30.5093i | 2.80819 | + | 1.02210i | ||||
\(892\) | −7.11759 | −0.238314 | ||||||||
\(893\) | −7.29859 | − | 19.4689i | −0.244238 | − | 0.651501i | ||||
\(894\) | −0.0552706 | −0.00184853 | ||||||||
\(895\) | −50.0685 | − | 18.2234i | −1.67360 | − | 0.609142i | ||||
\(896\) | −0.173648 | − | 0.984808i | −0.00580118 | − | 0.0329001i | ||||
\(897\) | −5.93945 | − | 4.98379i | −0.198312 | − | 0.166404i | ||||
\(898\) | −3.16390 | + | 2.65483i | −0.105581 | + | 0.0885927i | ||||
\(899\) | −1.40360 | + | 7.96023i | −0.0468128 | + | 0.265489i | ||||
\(900\) | −9.22087 | + | 15.9710i | −0.307362 | + | 0.532367i | ||||
\(901\) | 23.8040 | + | 41.2297i | 0.793025 | + | 1.37356i | ||||
\(902\) | −35.2229 | + | 12.8201i | −1.17279 | + | 0.426862i | ||||
\(903\) | 7.70915 | − | 2.80590i | 0.256544 | − | 0.0933745i | ||||
\(904\) | −4.03184 | − | 6.98335i | −0.134097 | − | 0.232263i | ||||
\(905\) | −3.49109 | + | 6.04675i | −0.116048 | + | 0.201001i | ||||
\(906\) | 3.87290 | − | 21.9643i | 0.128669 | − | 0.729716i | ||||
\(907\) | −6.95325 | + | 5.83447i | −0.230879 | + | 0.193730i | −0.750887 | − | 0.660431i | \(-0.770374\pi\) |
0.520008 | + | 0.854162i | \(0.325929\pi\) | |||||||
\(908\) | 11.5566 | + | 9.69712i | 0.383519 | + | 0.321810i | ||||
\(909\) | 6.43016 | + | 36.4672i | 0.213275 | + | 1.20954i | ||||
\(910\) | 11.9672 | + | 4.35571i | 0.396710 | + | 0.144390i | ||||
\(911\) | 46.2125 | 1.53109 | 0.765544 | − | 0.643383i | \(-0.222470\pi\) | ||||
0.765544 | + | 0.643383i | \(0.222470\pi\) | |||||||
\(912\) | 4.91038 | + | 13.0984i | 0.162599 | + | 0.433730i | ||||
\(913\) | 5.97712 | 0.197814 | ||||||||
\(914\) | 30.4911 | + | 11.0978i | 1.00855 | + | 0.367084i | ||||
\(915\) | 2.35025 | + | 13.3289i | 0.0776969 | + | 0.440641i | ||||
\(916\) | 0.617660 | + | 0.518279i | 0.0204081 | + | 0.0171244i | ||||
\(917\) | 14.0345 | − | 11.7764i | 0.463461 | − | 0.388890i | ||||
\(918\) | 12.5165 | − | 70.9848i | 0.413107 | − | 2.34285i | ||||
\(919\) | −6.45013 | + | 11.1720i | −0.212770 | + | 0.368529i | −0.952580 | − | 0.304287i | \(-0.901582\pi\) |
0.739810 | + | 0.672816i | \(0.234915\pi\) | |||||||
\(920\) | 0.713940 | + | 1.23658i | 0.0235379 | + | 0.0407688i | ||||
\(921\) | 28.0266 | − | 10.2009i | 0.923509 | − | 0.336130i | ||||
\(922\) | 17.8613 | − | 6.50098i | 0.588231 | − | 0.214098i | ||||
\(923\) | −9.30118 | − | 16.1101i | −0.306152 | − | 0.530271i | ||||
\(924\) | −6.39653 | + | 11.0791i | −0.210431 | + | 0.364476i | ||||
\(925\) | 4.14260 | − | 23.4939i | 0.136208 | − | 0.772473i | ||||
\(926\) | −9.03170 | + | 7.57849i | −0.296800 | + | 0.249045i | ||||
\(927\) | −7.82843 | − | 6.56884i | −0.257120 | − | 0.215749i | ||||
\(928\) | 1.01345 | + | 5.74756i | 0.0332681 | + | 0.188673i | ||||
\(929\) | 2.75523 | + | 1.00282i | 0.0903961 | + | 0.0329015i | 0.386822 | − | 0.922154i | \(-0.373573\pi\) |
−0.296426 | + | 0.955056i | \(0.595795\pi\) | |||||||
\(930\) | 12.1938 | 0.399849 | ||||||||
\(931\) | 3.75381 | − | 2.21560i | 0.123026 | − | 0.0726135i | ||||
\(932\) | −9.43769 | −0.309142 | ||||||||
\(933\) | −21.2148 | − | 7.72157i | −0.694543 | − | 0.252793i | ||||
\(934\) | 5.39444 | + | 30.5934i | 0.176511 | + | 1.00105i | ||||
\(935\) | −43.7723 | − | 36.7293i | −1.43151 | − | 1.20118i | ||||
\(936\) | −25.9547 | + | 21.7786i | −0.848357 | + | 0.711856i | ||||
\(937\) | 6.70718 | − | 38.0383i | 0.219114 | − | 1.24266i | −0.654509 | − | 0.756054i | \(-0.727125\pi\) |
0.873623 | − | 0.486603i | \(-0.161764\pi\) | |||||||
\(938\) | 6.15455 | − | 10.6600i | 0.200953 | − | 0.348061i | ||||
\(939\) | 47.7953 | + | 82.7838i | 1.55974 | + | 2.70155i | ||||
\(940\) | −12.2972 | + | 4.47581i | −0.401090 | + | 0.145985i | ||||
\(941\) | 21.7396 | − | 7.91255i | 0.708690 | − | 0.257942i | 0.0375731 | − | 0.999294i | \(-0.488037\pi\) |
0.671116 | + | 0.741352i | \(0.265815\pi\) | |||||||
\(942\) | 33.5528 | + | 58.1152i | 1.09321 | + | 1.89349i | ||||
\(943\) | −2.44692 | + | 4.23819i | −0.0796827 | + | 0.138014i | ||||
\(944\) | −0.186952 | + | 1.06026i | −0.00608476 | + | 0.0345084i | ||||
\(945\) | −28.9937 | + | 24.3286i | −0.943167 | + | 0.791411i | ||||
\(946\) | 7.80656 | + | 6.55048i | 0.253813 | + | 0.212974i | ||||
\(947\) | −7.62471 | − | 43.2419i | −0.247770 | − | 1.40517i | −0.813971 | − | 0.580905i | \(-0.802699\pi\) |
0.566201 | − | 0.824267i | \(-0.308412\pi\) | |||||||
\(948\) | 38.5641 | + | 14.0362i | 1.25250 | + | 0.455874i | ||||
\(949\) | −1.96272 | −0.0637125 | ||||||||
\(950\) | 9.59036 | + | 5.41486i | 0.311152 | + | 0.175681i | ||||
\(951\) | −60.9273 | −1.97570 | ||||||||
\(952\) | 4.90965 | + | 1.78697i | 0.159123 | + | 0.0579159i | ||||
\(953\) | −10.3982 | − | 58.9714i | −0.336832 | − | 1.91027i | −0.408340 | − | 0.912830i | \(-0.633892\pi\) |
0.0715077 | − | 0.997440i | \(-0.477219\pi\) | |||||||
\(954\) | 50.9477 | + | 42.7502i | 1.64949 | + | 1.38409i | ||||
\(955\) | −38.1791 | + | 32.0361i | −1.23545 | + | 1.03666i | ||||
\(956\) | −0.337372 | + | 1.91333i | −0.0109114 | + | 0.0618816i | ||||
\(957\) | 37.3316 | − | 64.6603i | 1.20676 | − | 2.09017i | ||||
\(958\) | −7.02571 | − | 12.1689i | −0.226990 | − | 0.393159i | ||||
\(959\) | 3.93558 | − | 1.43243i | 0.127086 | − | 0.0462557i | ||||
\(960\) | 8.27336 | − | 3.01125i | 0.267021 | − | 0.0971878i | ||||
\(961\) | 14.5409 | + | 25.1856i | 0.469062 | + | 0.812439i | ||||
\(962\) | 21.9146 | − | 37.9572i | 0.706555 | − | 1.22379i | ||||
\(963\) | −23.2633 | + | 131.933i | −0.749650 | + | 4.25148i | ||||
\(964\) | 17.9449 | − | 15.0576i | 0.577968 | − | 0.484973i | ||||
\(965\) | 26.3346 | + | 22.0973i | 0.847740 | + | 0.711338i | ||||
\(966\) | 0.290039 | + | 1.64489i | 0.00933184 | + | 0.0529235i | ||||
\(967\) | −2.13591 | − | 0.777407i | −0.0686862 | − | 0.0249997i | 0.307449 | − | 0.951565i | \(-0.400525\pi\) |
−0.376135 | + | 0.926565i | \(0.622747\pi\) | |||||||
\(968\) | −4.89131 | −0.157213 | ||||||||
\(969\) | −72.0946 | − | 11.9995i | −2.31601 | − | 0.385479i | ||||
\(970\) | −12.6694 | −0.406790 | ||||||||
\(971\) | −35.6872 | − | 12.9891i | −1.14526 | − | 0.416839i | −0.301447 | − | 0.953483i | \(-0.597470\pi\) |
−0.843809 | + | 0.536644i | \(0.819692\pi\) | |||||||
\(972\) | −5.28308 | − | 29.9618i | −0.169455 | − | 0.961026i | ||||
\(973\) | −11.4503 | − | 9.60792i | −0.367079 | − | 0.308016i | ||||
\(974\) | 8.03723 | − | 6.74403i | 0.257529 | − | 0.216093i | ||||
\(975\) | −6.53608 | + | 37.0680i | −0.209322 | + | 1.18713i | ||||
\(976\) | 0.768632 | − | 1.33131i | 0.0246033 | − | 0.0426142i | ||||
\(977\) | −3.57040 | − | 6.18412i | −0.114227 | − | 0.197847i | 0.803243 | − | 0.595651i | \(-0.203106\pi\) |
−0.917471 | + | 0.397804i | \(0.869773\pi\) | |||||||
\(978\) | −26.9580 | + | 9.81191i | −0.862022 | + | 0.313750i | ||||
\(979\) | 32.8845 | − | 11.9690i | 1.05099 | − | 0.382530i | ||||
\(980\) | −1.37174 | − | 2.37592i | −0.0438185 | − | 0.0758960i | ||||
\(981\) | 30.9872 | − | 53.6715i | 0.989346 | − | 1.71360i | ||||
\(982\) | 0.242185 | − | 1.37350i | 0.00772845 | − | 0.0438302i | ||||
\(983\) | 0.227819 | − | 0.191163i | 0.00726629 | − | 0.00609714i | −0.639147 | − | 0.769084i | \(-0.720713\pi\) |
0.646414 | + | 0.762987i | \(0.276268\pi\) | |||||||
\(984\) | 23.1157 | + | 19.3964i | 0.736903 | + | 0.618335i | ||||
\(985\) | −5.26539 | − | 29.8615i | −0.167769 | − | 0.951467i | ||||
\(986\) | −28.6538 | − | 10.4291i | −0.912523 | − | 0.332131i | ||||
\(987\) | −15.3078 | −0.487254 | ||||||||
\(988\) | 13.1545 | + | 15.3746i | 0.418500 | + | 0.489130i | ||||
\(989\) | 1.33050 | 0.0423076 | ||||||||
\(990\) | −75.0106 | − | 27.3016i | −2.38399 | − | 0.867702i | ||||
\(991\) | 4.30211 | + | 24.3985i | 0.136661 | + | 0.775043i | 0.973689 | + | 0.227882i | \(0.0731802\pi\) |
−0.837028 | + | 0.547161i | \(0.815709\pi\) | |||||||
\(992\) | −1.06095 | − | 0.890245i | −0.0336853 | − | 0.0282653i | ||||
\(993\) | 21.3437 | − | 17.9095i | 0.677322 | − | 0.568340i | ||||
\(994\) | −0.695876 | + | 3.94651i | −0.0220718 | + | 0.125176i | ||||
\(995\) | 3.32411 | − | 5.75752i | 0.105381 | − | 0.182526i | ||||
\(996\) | −2.40590 | − | 4.16714i | −0.0762337 | − | 0.132041i | ||||
\(997\) | 28.0997 | − | 10.2275i | 0.889927 | − | 0.323907i | 0.143718 | − | 0.989619i | \(-0.454094\pi\) |
0.746209 | + | 0.665712i | \(0.231872\pi\) | |||||||
\(998\) | 19.6984 | − | 7.16965i | 0.623543 | − | 0.226951i | ||||
\(999\) | 65.1293 | + | 112.807i | 2.06060 | + | 3.56906i |
(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 | 266.2.u.d.99.1 | yes | 24 | |
19.5 | even | 9 | inner | 266.2.u.d.43.1 | ✓ | 24 | |
19.9 | even | 9 | 5054.2.a.bl.1.1 | 12 | |||
19.10 | odd | 18 | 5054.2.a.bm.1.12 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
266.2.u.d.43.1 | ✓ | 24 | 19.5 | even | 9 | inner | |
266.2.u.d.99.1 | yes | 24 | 1.1 | even | 1 | trivial | |
5054.2.a.bl.1.1 | 12 | 19.9 | even | 9 | |||
5054.2.a.bm.1.12 | 12 | 19.10 | odd | 18 |