Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [151,2,Mod(5,151)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(151, base_ring=CyclotomicField(150))
chi = DirichletCharacter(H, H._module([112]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("151.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 151 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 151.k (of order \(75\), degree \(40\), 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: | \(1.20574107052\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{75})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{75}]$ |
Embedding invariants
Embedding label | 37.8 | ||
Character | \(\chi\) | \(=\) | 151.37 |
Dual form | 151.2.k.a.49.8 |
$q$-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 \(\left(\mathbb{Z}/151\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{8}{75}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.133863 | + | 1.27363i | 0.0946558 | + | 0.900590i | 0.934068 | + | 0.357095i | \(0.116233\pi\) |
−0.839412 | + | 0.543495i | \(0.817101\pi\) | |||||||
\(3\) | −0.996330 | + | 2.11731i | −0.575231 | + | 1.22243i | 0.379564 | + | 0.925165i | \(0.376074\pi\) |
−0.954796 | + | 0.297263i | \(0.903926\pi\) | |||||||
\(4\) | 0.352092 | − | 0.0748394i | 0.176046 | − | 0.0374197i | ||||
\(5\) | −2.20367 | + | 0.372723i | −0.985510 | + | 0.166687i | −0.637205 | − | 0.770695i | \(-0.719909\pi\) |
−0.348305 | + | 0.937381i | \(0.613243\pi\) | |||||||
\(6\) | −2.83003 | − | 0.985521i | −1.15536 | − | 0.402337i | ||||
\(7\) | −0.544697 | − | 0.270390i | −0.205876 | − | 0.102198i | 0.338751 | − | 0.940876i | \(-0.389996\pi\) |
−0.544627 | + | 0.838678i | \(0.683329\pi\) | |||||||
\(8\) | 0.933930 | + | 2.87434i | 0.330194 | + | 1.01623i | ||||
\(9\) | −1.57805 | − | 1.90754i | −0.526017 | − | 0.635845i | ||||
\(10\) | −0.769700 | − | 2.75675i | −0.243400 | − | 0.871762i | ||||
\(11\) | 0.688662 | + | 0.0578285i | 0.207639 | + | 0.0174360i | 0.187042 | − | 0.982352i | \(-0.440110\pi\) |
0.0205972 | + | 0.999788i | \(0.493443\pi\) | |||||||
\(12\) | −0.192341 | + | 0.820051i | −0.0555242 | + | 0.236728i | ||||
\(13\) | −0.601262 | − | 1.43035i | −0.166760 | − | 0.396706i | 0.816891 | − | 0.576792i | \(-0.195696\pi\) |
−0.983651 | + | 0.180086i | \(0.942362\pi\) | |||||||
\(14\) | 0.271461 | − | 0.729936i | 0.0725509 | − | 0.195084i | ||||
\(15\) | 1.40641 | − | 5.03720i | 0.363134 | − | 1.30060i | ||||
\(16\) | −2.87814 | + | 1.28143i | −0.719535 | + | 0.320357i | ||||
\(17\) | 2.17650 | + | 1.44607i | 0.527880 | + | 0.350723i | 0.788812 | − | 0.614635i | \(-0.210697\pi\) |
−0.260932 | + | 0.965357i | \(0.584030\pi\) | |||||||
\(18\) | 2.21824 | − | 2.26520i | 0.522845 | − | 0.533912i | ||||
\(19\) | 0.383374 | − | 1.17990i | 0.0879520 | − | 0.270688i | −0.897401 | − | 0.441216i | \(-0.854547\pi\) |
0.985353 | + | 0.170528i | \(0.0545472\pi\) | |||||||
\(20\) | −0.747999 | + | 0.296154i | −0.167258 | + | 0.0662220i | ||||
\(21\) | 1.11520 | − | 0.883895i | 0.243356 | − | 0.192882i | ||||
\(22\) | 0.0185347 | + | 0.884839i | 0.00395162 | + | 0.188648i | ||||
\(23\) | 6.16662 | + | 6.84873i | 1.28583 | + | 1.42806i | 0.848891 | + | 0.528568i | \(0.177271\pi\) |
0.436939 | + | 0.899491i | \(0.356062\pi\) | |||||||
\(24\) | −7.01637 | − | 0.886373i | −1.43221 | − | 0.180930i | ||||
\(25\) | −0.00465231 | + | 0.00162011i | −0.000930462 | + | 0.000324021i | ||||
\(26\) | 1.74124 | − | 0.957254i | 0.341485 | − | 0.187733i | ||||
\(27\) | −1.18840 | + | 0.305128i | −0.228707 | + | 0.0587220i | ||||
\(28\) | −0.212019 | − | 0.0544373i | −0.0400679 | − | 0.0102877i | ||||
\(29\) | 1.22714 | + | 0.674625i | 0.227874 | + | 0.125275i | 0.591601 | − | 0.806231i | \(-0.298496\pi\) |
−0.363727 | + | 0.931505i | \(0.618496\pi\) | |||||||
\(30\) | 6.60377 | + | 1.11694i | 1.20568 | + | 0.203925i | ||||
\(31\) | 7.37203 | − | 0.308980i | 1.32406 | − | 0.0554944i | 0.630664 | − | 0.776056i | \(-0.282782\pi\) |
0.693391 | + | 0.720561i | \(0.256116\pi\) | |||||||
\(32\) | 1.00492 | + | 1.74057i | 0.177646 | + | 0.307692i | ||||
\(33\) | −0.808575 | + | 1.40049i | −0.140755 | + | 0.243795i | ||||
\(34\) | −1.55039 | + | 2.96563i | −0.265890 | + | 0.508601i | ||||
\(35\) | 1.30111 | + | 0.392829i | 0.219928 | + | 0.0664002i | ||||
\(36\) | −0.698377 | − | 0.553527i | −0.116396 | − | 0.0922545i | ||||
\(37\) | −0.147264 | + | 0.194014i | −0.0242101 | + | 0.0318956i | −0.808475 | − | 0.588530i | \(-0.799707\pi\) |
0.784265 | + | 0.620426i | \(0.213040\pi\) | |||||||
\(38\) | 1.55407 | + | 0.330329i | 0.252104 | + | 0.0535864i | ||||
\(39\) | 3.62754 | + | 0.152039i | 0.580871 | + | 0.0243457i | ||||
\(40\) | −3.12940 | − | 5.98599i | −0.494802 | − | 0.946469i | ||||
\(41\) | −1.38898 | − | 7.28131i | −0.216923 | − | 1.13715i | −0.909468 | − | 0.415775i | \(-0.863510\pi\) |
0.692545 | − | 0.721375i | \(-0.256490\pi\) | |||||||
\(42\) | 1.27504 | + | 1.30202i | 0.196742 | + | 0.200907i | ||||
\(43\) | 8.89829 | − | 4.41715i | 1.35698 | − | 0.673609i | 0.388207 | − | 0.921572i | \(-0.373094\pi\) |
0.968770 | + | 0.247963i | \(0.0797611\pi\) | |||||||
\(44\) | 0.246800 | − | 0.0311781i | 0.0372065 | − | 0.00470027i | ||||
\(45\) | 4.18848 | + | 3.61540i | 0.624382 | + | 0.538952i | ||||
\(46\) | −7.89724 | + | 8.77077i | −1.16438 | + | 1.29318i | ||||
\(47\) | 1.62961 | − | 1.40665i | 0.237704 | − | 0.205180i | −0.526465 | − | 0.850197i | \(-0.676483\pi\) |
0.764169 | + | 0.645017i | \(0.223150\pi\) | |||||||
\(48\) | 0.154393 | − | 7.37063i | 0.0222847 | − | 1.06386i | ||||
\(49\) | −4.00861 | − | 5.28115i | −0.572658 | − | 0.754450i | ||||
\(50\) | −0.00268618 | − | 0.00570843i | −0.000379884 | − | 0.000807294i | ||||
\(51\) | −5.23028 | + | 3.16757i | −0.732386 | + | 0.443549i | ||||
\(52\) | −0.318745 | − | 0.458615i | −0.0442020 | − | 0.0635984i | ||||
\(53\) | −6.29379 | + | 5.91027i | −0.864519 | + | 0.811837i | −0.983472 | − | 0.181062i | \(-0.942046\pi\) |
0.118952 | + | 0.992900i | \(0.462046\pi\) | |||||||
\(54\) | −0.547702 | − | 1.47273i | −0.0745329 | − | 0.200413i | ||||
\(55\) | −1.53914 | + | 0.129245i | −0.207537 | + | 0.0174274i | ||||
\(56\) | 0.268484 | − | 1.81817i | 0.0358777 | − | 0.242963i | ||||
\(57\) | 2.11625 | + | 1.98729i | 0.280304 | + | 0.263223i | ||||
\(58\) | −0.694951 | + | 1.65322i | −0.0912515 | + | 0.217079i | ||||
\(59\) | −6.04681 | − | 4.39326i | −0.787227 | − | 0.571954i | 0.119912 | − | 0.992785i | \(-0.461739\pi\) |
−0.907139 | + | 0.420831i | \(0.861739\pi\) | |||||||
\(60\) | 0.118205 | − | 1.87881i | 0.0152602 | − | 0.242553i | ||||
\(61\) | −1.54174 | + | 2.21828i | −0.197400 | + | 0.284021i | −0.907476 | − | 0.420103i | \(-0.861994\pi\) |
0.710076 | + | 0.704125i | \(0.248660\pi\) | |||||||
\(62\) | 1.38037 | + | 9.34785i | 0.175307 | + | 1.18718i | ||||
\(63\) | 0.343781 | + | 1.46572i | 0.0433124 | + | 0.184663i | ||||
\(64\) | −7.17996 | + | 5.21654i | −0.897494 | + | 0.652068i | ||||
\(65\) | 1.85810 | + | 2.92790i | 0.230469 | + | 0.363162i | ||||
\(66\) | −1.89194 | − | 0.842347i | −0.232882 | − | 0.103686i | ||||
\(67\) | 9.31019 | − | 11.2541i | 1.13742 | − | 1.37491i | 0.220718 | − | 0.975338i | \(-0.429160\pi\) |
0.916703 | − | 0.399569i | \(-0.130840\pi\) | |||||||
\(68\) | 0.874552 | + | 0.346260i | 0.106055 | + | 0.0419901i | ||||
\(69\) | −20.6449 | + | 6.23305i | −2.48535 | + | 0.750371i | ||||
\(70\) | −0.326146 | + | 1.70972i | −0.0389819 | + | 0.204350i | ||||
\(71\) | 5.77065 | − | 3.83401i | 0.684850 | − | 0.455013i | −0.162038 | − | 0.986785i | \(-0.551807\pi\) |
0.846888 | + | 0.531771i | \(0.178473\pi\) | |||||||
\(72\) | 4.00912 | − | 6.31736i | 0.472479 | − | 0.744508i | ||||
\(73\) | −0.151468 | − | 2.40751i | −0.0177280 | − | 0.281778i | −0.996896 | − | 0.0787273i | \(-0.974914\pi\) |
0.979168 | − | 0.203051i | \(-0.0650856\pi\) | |||||||
\(74\) | −0.266814 | − | 0.161588i | −0.0310165 | − | 0.0187843i | ||||
\(75\) | 0.00120497 | − | 0.0114645i | 0.000139138 | − | 0.00132381i | ||||
\(76\) | 0.0466795 | − | 0.444126i | 0.00535450 | − | 0.0509447i | ||||
\(77\) | −0.359476 | − | 0.217706i | −0.0409661 | − | 0.0248099i | ||||
\(78\) | 0.291954 | + | 4.64048i | 0.0330573 | + | 0.525431i | ||||
\(79\) | 1.79354 | − | 2.82616i | 0.201789 | − | 0.317968i | −0.728330 | − | 0.685226i | \(-0.759703\pi\) |
0.930119 | + | 0.367258i | \(0.119703\pi\) | |||||||
\(80\) | 5.86484 | − | 3.89659i | 0.655710 | − | 0.435652i | ||||
\(81\) | 1.92967 | − | 10.1157i | 0.214407 | − | 1.12396i | ||||
\(82\) | 9.08773 | − | 2.74375i | 1.00357 | − | 0.302996i | ||||
\(83\) | −15.5723 | − | 6.16551i | −1.70928 | − | 0.676753i | −0.709668 | − | 0.704536i | \(-0.751155\pi\) |
−0.999614 | + | 0.0277836i | \(0.991155\pi\) | |||||||
\(84\) | 0.326502 | − | 0.394673i | 0.0356242 | − | 0.0430623i | ||||
\(85\) | −5.33527 | − | 2.37542i | −0.578692 | − | 0.257650i | ||||
\(86\) | 6.81695 | + | 10.7418i | 0.735091 | + | 1.15832i | ||||
\(87\) | −2.65102 | + | 1.92608i | −0.284219 | + | 0.206498i | ||||
\(88\) | 0.476943 | + | 2.03346i | 0.0508423 | + | 0.216767i | ||||
\(89\) | 1.86404 | + | 12.6233i | 0.197588 | + | 1.33806i | 0.827530 | + | 0.561422i | \(0.189746\pi\) |
−0.629941 | + | 0.776643i | \(0.716921\pi\) | |||||||
\(90\) | −4.04398 | + | 5.81853i | −0.426273 | + | 0.613327i | ||||
\(91\) | −0.0592455 | + | 0.941681i | −0.00621062 | + | 0.0987149i | ||||
\(92\) | 2.68377 | + | 1.94987i | 0.279803 | + | 0.203288i | ||||
\(93\) | −6.69077 | + | 15.9167i | −0.693800 | + | 1.65049i | ||||
\(94\) | 2.00969 | + | 1.88722i | 0.207283 | + | 0.194652i | ||||
\(95\) | −0.405052 | + | 2.74301i | −0.0415575 | + | 0.281427i | ||||
\(96\) | −4.68656 | + | 0.393541i | −0.478320 | + | 0.0401656i | ||||
\(97\) | 1.63461 | + | 4.39533i | 0.165969 | + | 0.446278i | 0.993318 | − | 0.115411i | \(-0.0368185\pi\) |
−0.827349 | + | 0.561689i | \(0.810152\pi\) | |||||||
\(98\) | 6.18960 | − | 5.81242i | 0.625244 | − | 0.587143i | ||||
\(99\) | −0.976433 | − | 1.40490i | −0.0981352 | − | 0.141198i | ||||
\(100\) | −0.00151679 | 0.000918602i | −0.000151679 | 9.18602e-5i | ||||||
\(101\) | −5.26084 | − | 11.1798i | −0.523473 | − | 1.11244i | −0.975412 | − | 0.220388i | \(-0.929268\pi\) |
0.451940 | − | 0.892049i | \(-0.350732\pi\) | |||||||
\(102\) | −4.73445 | − | 6.23740i | −0.468780 | − | 0.617595i | ||||
\(103\) | −0.174295 | + | 8.32077i | −0.0171738 | + | 0.819869i | 0.903287 | + | 0.429036i | \(0.141147\pi\) |
−0.920461 | + | 0.390834i | \(0.872187\pi\) | |||||||
\(104\) | 3.54976 | − | 3.06407i | 0.348083 | − | 0.300457i | ||||
\(105\) | −2.12808 | + | 2.36347i | −0.207679 | + | 0.230651i | ||||
\(106\) | −8.36998 | − | 7.22477i | −0.812964 | − | 0.701732i | ||||
\(107\) | −3.69266 | + | 0.466491i | −0.356983 | + | 0.0450974i | −0.301780 | − | 0.953378i | \(-0.597581\pi\) |
−0.0552033 | + | 0.998475i | \(0.517581\pi\) | |||||||
\(108\) | −0.395589 | + | 0.196372i | −0.0380656 | + | 0.0188959i | ||||
\(109\) | 0.493538 | + | 0.503984i | 0.0472724 | + | 0.0482729i | 0.737701 | − | 0.675128i | \(-0.235911\pi\) |
−0.690429 | + | 0.723400i | \(0.742578\pi\) | |||||||
\(110\) | −0.370644 | − | 1.94298i | −0.0353395 | − | 0.185256i | ||||
\(111\) | −0.264063 | − | 0.505105i | −0.0250637 | − | 0.0479425i | ||||
\(112\) | 1.91420 | + | 0.0802288i | 0.180875 | + | 0.00758091i | ||||
\(113\) | 5.88728 | + | 1.25138i | 0.553829 | + | 0.117720i | 0.476321 | − | 0.879272i | \(-0.341970\pi\) |
0.0775084 | + | 0.996992i | \(0.475304\pi\) | |||||||
\(114\) | −2.24778 | + | 2.96134i | −0.210524 | + | 0.277355i | ||||
\(115\) | −16.1419 | − | 12.7939i | −1.50524 | − | 1.19304i | ||||
\(116\) | 0.482554 | + | 0.145692i | 0.0448040 | + | 0.0135271i | ||||
\(117\) | −1.77961 | + | 3.40409i | −0.164525 | + | 0.314708i | ||||
\(118\) | 4.78593 | − | 8.28947i | 0.440580 | − | 0.763107i | ||||
\(119\) | −0.794534 | − | 1.37617i | −0.0728348 | − | 0.126154i | ||||
\(120\) | 15.7921 | − | 0.661885i | 1.44162 | − | 0.0604216i | ||||
\(121\) | −10.3750 | − | 1.75481i | −0.943186 | − | 0.159528i | ||||
\(122\) | −3.03164 | − | 1.66666i | −0.274472 | − | 0.150892i | ||||
\(123\) | 16.8007 | + | 4.31368i | 1.51487 | + | 0.388951i | ||||
\(124\) | 2.57251 | − | 0.660507i | 0.231018 | − | 0.0593153i | ||||
\(125\) | 9.80223 | − | 5.38882i | 0.876738 | − | 0.481991i | ||||
\(126\) | −1.82076 | + | 0.634055i | −0.162206 | + | 0.0564861i | ||||
\(127\) | 7.76355 | + | 0.980764i | 0.688903 | + | 0.0870287i | 0.461989 | − | 0.886886i | \(-0.347136\pi\) |
0.226915 | + | 0.973915i | \(0.427136\pi\) | |||||||
\(128\) | −4.91537 | − | 5.45907i | −0.434461 | − | 0.482518i | ||||
\(129\) | 0.486837 | + | 23.2414i | 0.0428636 | + | 2.04629i | ||||
\(130\) | −3.48032 | + | 2.75847i | −0.305244 | + | 0.241934i | ||||
\(131\) | 13.0005 | − | 5.14725i | 1.13586 | − | 0.449717i | 0.276459 | − | 0.961026i | \(-0.410839\pi\) |
0.859397 | + | 0.511308i | \(0.170839\pi\) | |||||||
\(132\) | −0.179880 | + | 0.553615i | −0.0156566 | + | 0.0481860i | ||||
\(133\) | −0.527857 | + | 0.539030i | −0.0457710 | + | 0.0467398i | ||||
\(134\) | 15.5798 | + | 10.3512i | 1.34589 | + | 0.894207i | ||||
\(135\) | 2.50510 | − | 1.11534i | 0.215605 | − | 0.0959935i | ||||
\(136\) | −2.12378 | + | 7.60654i | −0.182113 | + | 0.652255i | ||||
\(137\) | 5.98543 | − | 16.0943i | 0.511370 | − | 1.37503i | −0.381355 | − | 0.924429i | \(-0.624542\pi\) |
0.892724 | − | 0.450603i | \(-0.148791\pi\) | |||||||
\(138\) | −10.7022 | − | 25.4595i | −0.911029 | − | 2.16725i | ||||
\(139\) | −3.11033 | + | 13.2610i | −0.263815 | + | 1.12478i | 0.662808 | + | 0.748789i | \(0.269364\pi\) |
−0.926623 | + | 0.375991i | \(0.877302\pi\) | |||||||
\(140\) | 0.487510 | + | 0.0409374i | 0.0412021 | + | 0.00345984i | ||||
\(141\) | 1.35467 | + | 4.85188i | 0.114084 | + | 0.408602i | ||||
\(142\) | 5.65558 | + | 6.83642i | 0.474605 | + | 0.573699i | ||||
\(143\) | −0.331351 | − | 1.01979i | −0.0277090 | − | 0.0852795i | ||||
\(144\) | 6.98622 | + | 3.46799i | 0.582185 | + | 0.288999i | ||||
\(145\) | −2.95565 | − | 1.02927i | −0.245454 | − | 0.0854760i | ||||
\(146\) | 3.04599 | − | 0.515191i | 0.252088 | − | 0.0426375i | ||||
\(147\) | 15.1757 | − | 3.22570i | 1.25167 | − | 0.266051i | ||||
\(148\) | −0.0373307 | + | 0.0793317i | −0.00306856 | + | 0.00652103i | ||||
\(149\) | 1.52759 | + | 14.5341i | 0.125145 | + | 1.19068i | 0.859219 | + | 0.511608i | \(0.170950\pi\) |
−0.734074 | + | 0.679070i | \(0.762383\pi\) | |||||||
\(150\) | 0.0147628 | 0.00120538 | ||||||||
\(151\) | 11.1447 | + | 5.17642i | 0.906944 | + | 0.421251i | ||||
\(152\) | 3.74949 | 0.304123 | ||||||||
\(153\) | −0.676212 | − | 6.43372i | −0.0546685 | − | 0.520136i | ||||
\(154\) | 0.229156 | − | 0.486981i | 0.0184659 | − | 0.0392420i | ||||
\(155\) | −16.1303 | + | 3.42861i | −1.29562 | + | 0.275393i | ||||
\(156\) | 1.28860 | − | 0.217951i | 0.103171 | − | 0.0174501i | ||||
\(157\) | −10.4609 | − | 3.64288i | −0.834873 | − | 0.290733i | −0.122442 | − | 0.992476i | \(-0.539072\pi\) |
−0.712431 | + | 0.701742i | \(0.752406\pi\) | |||||||
\(158\) | 3.83956 | + | 1.90597i | 0.305459 | + | 0.151631i | ||||
\(159\) | −6.24316 | − | 19.2145i | −0.495115 | − | 1.52381i | ||||
\(160\) | −2.86326 | − | 3.46108i | −0.226360 | − | 0.273623i | ||||
\(161\) | −1.50712 | − | 5.39788i | −0.118777 | − | 0.425413i | ||||
\(162\) | 13.1419 | + | 1.10355i | 1.03252 | + | 0.0867035i | ||||
\(163\) | −4.46368 | + | 19.0310i | −0.349623 | + | 1.49062i | 0.451580 | + | 0.892231i | \(0.350860\pi\) |
−0.801203 | + | 0.598393i | \(0.795806\pi\) | |||||||
\(164\) | −1.03398 | − | 2.45974i | −0.0807402 | − | 0.192073i | ||||
\(165\) | 1.25984 | − | 3.38760i | 0.0980781 | − | 0.263724i | ||||
\(166\) | 5.76799 | − | 20.6586i | 0.447683 | − | 1.60342i | ||||
\(167\) | 12.7653 | − | 5.68346i | 0.987806 | − | 0.439800i | 0.151735 | − | 0.988421i | \(-0.451514\pi\) |
0.836071 | + | 0.548621i | \(0.184847\pi\) | |||||||
\(168\) | 3.58213 | + | 2.37996i | 0.276367 | + | 0.183618i | ||||
\(169\) | 7.41125 | − | 7.56812i | 0.570096 | − | 0.582163i | ||||
\(170\) | 2.31119 | − | 7.11312i | 0.177261 | − | 0.545552i | ||||
\(171\) | −2.85569 | + | 1.13065i | −0.218380 | + | 0.0864628i | ||||
\(172\) | 2.80244 | − | 2.22118i | 0.213684 | − | 0.169364i | ||||
\(173\) | 0.172849 | + | 8.25173i | 0.0131415 | + | 0.627368i | 0.955867 | + | 0.293799i | \(0.0949196\pi\) |
−0.942726 | + | 0.333569i | \(0.891747\pi\) | |||||||
\(174\) | −2.80798 | − | 3.11858i | −0.212873 | − | 0.236419i | ||||
\(175\) | 0.00297216 | 0.000375471i | 0.000224674 | 2.83830e-5i | ||||||
\(176\) | −2.05617 | + | 0.716033i | −0.154989 | + | 0.0539730i | ||||
\(177\) | 15.3265 | − | 8.42582i | 1.15201 | − | 0.633323i | ||||
\(178\) | −15.8278 | + | 4.06389i | −1.18634 | + | 0.304601i | ||||
\(179\) | −21.3907 | − | 5.49219i | −1.59881 | − | 0.410506i | −0.658987 | − | 0.752154i | \(-0.729015\pi\) |
−0.939828 | + | 0.341648i | \(0.889015\pi\) | |||||||
\(180\) | 1.74530 | + | 0.959489i | 0.130087 | + | 0.0715161i | ||||
\(181\) | 2.12301 | + | 0.359080i | 0.157802 | + | 0.0266902i | 0.245135 | − | 0.969489i | \(-0.421168\pi\) |
−0.0873330 | + | 0.996179i | \(0.527834\pi\) | |||||||
\(182\) | −1.20728 | + | 0.0506000i | −0.0894895 | + | 0.00375072i | ||||
\(183\) | −3.16069 | − | 5.47448i | −0.233645 | − | 0.404685i | ||||
\(184\) | −13.9264 | + | 24.1212i | −1.02667 | + | 1.77824i | ||||
\(185\) | 0.252208 | − | 0.482430i | 0.0185427 | − | 0.0354690i | ||||
\(186\) | −21.1676 | − | 6.39087i | −1.55208 | − | 0.468601i | ||||
\(187\) | 1.41525 | + | 1.12171i | 0.103493 | + | 0.0820279i | ||||
\(188\) | 0.468501 | − | 0.617227i | 0.0341690 | − | 0.0450159i | ||||
\(189\) | 0.729820 | + | 0.155128i | 0.0530866 | + | 0.0112839i | ||||
\(190\) | −3.54779 | − | 0.148696i | −0.257383 | − | 0.0107876i | ||||
\(191\) | 1.04829 | + | 2.00520i | 0.0758517 | + | 0.145091i | 0.921155 | − | 0.389196i | \(-0.127247\pi\) |
−0.845303 | + | 0.534287i | \(0.820580\pi\) | |||||||
\(192\) | −3.89143 | − | 20.3996i | −0.280840 | − | 1.47221i | ||||
\(193\) | −7.62582 | − | 7.78723i | −0.548919 | − | 0.560537i | 0.382747 | − | 0.923853i | \(-0.374978\pi\) |
−0.931666 | + | 0.363316i | \(0.881645\pi\) | |||||||
\(194\) | −5.37919 | + | 2.67025i | −0.386203 | + | 0.191713i | ||||
\(195\) | −8.05056 | + | 1.01702i | −0.576512 | + | 0.0728304i | ||||
\(196\) | −1.80664 | − | 1.55945i | −0.129045 | − | 0.111389i | ||||
\(197\) | −11.9755 | + | 13.3002i | −0.853222 | + | 0.947599i | −0.999130 | − | 0.0416989i | \(-0.986723\pi\) |
0.145908 | + | 0.989298i | \(0.453390\pi\) | |||||||
\(198\) | 1.65861 | − | 1.43168i | 0.117872 | − | 0.101745i | ||||
\(199\) | −0.211009 | + | 10.0735i | −0.0149580 | + | 0.714090i | 0.926373 | + | 0.376606i | \(0.122909\pi\) |
−0.941332 | + | 0.337483i | \(0.890424\pi\) | |||||||
\(200\) | −0.00900167 | − | 0.0118593i | −0.000636514 | − | 0.000838576i | ||||
\(201\) | 14.5524 | + | 30.9253i | 1.02644 | + | 2.18131i | ||||
\(202\) | 13.5347 | − | 8.19691i | 0.952299 | − | 0.576733i | ||||
\(203\) | −0.486007 | − | 0.699272i | −0.0341110 | − | 0.0490793i | ||||
\(204\) | −1.60448 | + | 1.50671i | −0.112336 | + | 0.105491i | ||||
\(205\) | 5.77477 | + | 15.5279i | 0.403327 | + | 1.08451i | ||||
\(206\) | −10.6209 | + | 0.891860i | −0.739991 | + | 0.0621388i | ||||
\(207\) | 3.33295 | − | 22.5707i | 0.231656 | − | 1.56877i | ||||
\(208\) | 3.56340 | + | 3.34626i | 0.247077 | + | 0.232021i | ||||
\(209\) | 0.332247 | − | 0.790384i | 0.0229820 | − | 0.0546720i | ||||
\(210\) | −3.29505 | − | 2.39399i | −0.227380 | − | 0.165201i | ||||
\(211\) | 1.03848 | − | 16.5061i | 0.0714917 | − | 1.13633i | −0.784770 | − | 0.619787i | \(-0.787219\pi\) |
0.856262 | − | 0.516542i | \(-0.172781\pi\) | |||||||
\(212\) | −1.77367 | + | 2.55198i | −0.121816 | + | 0.175271i | ||||
\(213\) | 2.36831 | + | 16.0382i | 0.162274 | + | 1.09892i | ||||
\(214\) | −1.08845 | − | 4.64062i | −0.0744048 | − | 0.317226i | ||||
\(215\) | −17.9625 | + | 13.0505i | −1.22503 | + | 0.890038i | ||||
\(216\) | −1.98692 | − | 3.13089i | −0.135193 | − | 0.213030i | ||||
\(217\) | −4.09907 | − | 1.82502i | −0.278263 | − | 0.123891i | ||||
\(218\) | −0.575821 | + | 0.696048i | −0.0389995 | + | 0.0471423i | ||||
\(219\) | 5.24836 | + | 2.07797i | 0.354651 | + | 0.140416i | ||||
\(220\) | −0.532244 | + | 0.160694i | −0.0358839 | + | 0.0108340i | ||||
\(221\) | 0.759725 | − | 3.98262i | 0.0511046 | − | 0.267900i | ||||
\(222\) | 0.607967 | − | 0.403932i | 0.0408041 | − | 0.0271102i | ||||
\(223\) | −5.58244 | + | 8.79651i | −0.373828 | + | 0.589058i | −0.978205 | − | 0.207640i | \(-0.933422\pi\) |
0.604378 | + | 0.796698i | \(0.293422\pi\) | |||||||
\(224\) | −0.0767436 | − | 1.21980i | −0.00512765 | − | 0.0815016i | ||||
\(225\) | 0.0104320 | + | 0.00631784i | 0.000695466 | + | 0.000421189i | ||||
\(226\) | −0.805699 | + | 7.66571i | −0.0535943 | + | 0.509915i | ||||
\(227\) | −0.989703 | + | 9.41640i | −0.0656889 | + | 0.624988i | 0.911307 | + | 0.411728i | \(0.135075\pi\) |
−0.976996 | + | 0.213260i | \(0.931592\pi\) | |||||||
\(228\) | 0.893843 | + | 0.541330i | 0.0591962 | + | 0.0358505i | ||||
\(229\) | 0.739151 | + | 11.7485i | 0.0488444 | + | 0.776360i | 0.943864 | + | 0.330334i | \(0.107161\pi\) |
−0.895020 | + | 0.446027i | \(0.852839\pi\) | |||||||
\(230\) | 14.1338 | − | 22.2713i | 0.931956 | − | 1.46853i | ||||
\(231\) | 0.819108 | − | 0.544214i | 0.0538934 | − | 0.0358067i | ||||
\(232\) | −0.793040 | + | 4.15726i | −0.0520656 | + | 0.272938i | ||||
\(233\) | −24.9346 | + | 7.52821i | −1.63352 | + | 0.493190i | −0.967527 | − | 0.252766i | \(-0.918660\pi\) |
−0.665995 | + | 0.745956i | \(0.731993\pi\) | |||||||
\(234\) | −4.57376 | − | 1.81088i | −0.298996 | − | 0.118381i | ||||
\(235\) | −3.06684 | + | 3.70717i | −0.200059 | + | 0.241829i | ||||
\(236\) | −2.45782 | − | 1.09429i | −0.159990 | − | 0.0712323i | ||||
\(237\) | 4.19690 | + | 6.61326i | 0.272618 | + | 0.429577i | ||||
\(238\) | 1.64637 | − | 1.19616i | 0.106718 | − | 0.0775355i | ||||
\(239\) | −4.21881 | − | 17.9870i | −0.272892 | − | 1.16348i | −0.917108 | − | 0.398638i | \(-0.869483\pi\) |
0.644216 | − | 0.764843i | \(-0.277184\pi\) | |||||||
\(240\) | 2.40697 | + | 16.3000i | 0.155369 | + | 1.05216i | ||||
\(241\) | 4.30530 | − | 6.19451i | 0.277329 | − | 0.399023i | −0.657879 | − | 0.753124i | \(-0.728546\pi\) |
0.935207 | + | 0.354100i | \(0.115213\pi\) | |||||||
\(242\) | 0.846129 | − | 13.4488i | 0.0543912 | − | 0.864524i | ||||
\(243\) | 16.5175 | + | 12.0007i | 1.05960 | + | 0.769845i | ||||
\(244\) | −0.376820 | + | 0.896420i | −0.0241235 | + | 0.0573874i | ||||
\(245\) | 10.8020 | + | 10.1438i | 0.690117 | + | 0.648063i | ||||
\(246\) | −3.24502 | + | 21.9752i | −0.206895 | + | 1.40109i | ||||
\(247\) | −1.91818 | + | 0.161074i | −0.122051 | + | 0.0102489i | ||||
\(248\) | 7.77307 | + | 20.9012i | 0.493590 | + | 1.32722i | ||||
\(249\) | 28.5694 | − | 26.8285i | 1.81051 | − | 1.70019i | ||||
\(250\) | 8.17550 | + | 11.7630i | 0.517064 | + | 0.743958i | ||||
\(251\) | −13.0632 | + | 7.91136i | −0.824542 | + | 0.499361i | −0.866156 | − | 0.499773i | \(-0.833417\pi\) |
0.0416140 | + | 0.999134i | \(0.486750\pi\) | |||||||
\(252\) | 0.230736 | + | 0.490339i | 0.0145350 | + | 0.0308885i | ||||
\(253\) | 3.85067 | + | 5.07307i | 0.242089 | + | 0.318941i | ||||
\(254\) | −0.209871 | + | 10.0191i | −0.0131685 | + | 0.628657i | ||||
\(255\) | 10.3452 | − | 8.92972i | 0.647840 | − | 0.559201i | ||||
\(256\) | −5.58213 | + | 6.19958i | −0.348883 | + | 0.387474i | ||||
\(257\) | −5.07441 | − | 4.38012i | −0.316533 | − | 0.273224i | 0.480714 | − | 0.876878i | \(-0.340378\pi\) |
−0.797247 | + | 0.603654i | \(0.793711\pi\) | |||||||
\(258\) | −29.5356 | + | 3.73122i | −1.83881 | + | 0.232296i | ||||
\(259\) | 0.132674 | − | 0.0658599i | 0.00824395 | − | 0.00409233i | ||||
\(260\) | 0.873345 | + | 0.891831i | 0.0541626 | + | 0.0553090i | ||||
\(261\) | −0.649615 | − | 3.40540i | −0.0402102 | − | 0.210789i | ||||
\(262\) | 8.29596 | + | 15.8687i | 0.512526 | + | 0.980372i | ||||
\(263\) | −28.7598 | − | 1.20539i | −1.77340 | − | 0.0743276i | −0.867403 | − | 0.497606i | \(-0.834213\pi\) |
−0.906000 | + | 0.423279i | \(0.860879\pi\) | |||||||
\(264\) | −4.78064 | − | 1.01616i | −0.294228 | − | 0.0625402i | ||||
\(265\) | 11.6665 | − | 15.3701i | 0.716670 | − | 0.944178i | ||||
\(266\) | −0.757183 | − | 0.600136i | −0.0464259 | − | 0.0367967i | ||||
\(267\) | −28.5846 | − | 8.63019i | −1.74935 | − | 0.528159i | ||||
\(268\) | 2.43579 | − | 4.65924i | 0.148790 | − | 0.284608i | ||||
\(269\) | 10.2796 | − | 17.8048i | 0.626760 | − | 1.08558i | −0.361438 | − | 0.932396i | \(-0.617714\pi\) |
0.988198 | − | 0.153183i | \(-0.0489526\pi\) | |||||||
\(270\) | 1.75587 | + | 3.04126i | 0.106859 | + | 0.185085i | ||||
\(271\) | 27.8132 | − | 1.16572i | 1.68953 | − | 0.0708122i | 0.822404 | − | 0.568904i | \(-0.192632\pi\) |
0.867125 | + | 0.498091i | \(0.165966\pi\) | |||||||
\(272\) | −8.11731 | − | 1.37294i | −0.492184 | − | 0.0832468i | ||||
\(273\) | −1.93480 | − | 1.06367i | −0.117099 | − | 0.0643760i | ||||
\(274\) | 21.2994 | + | 5.46875i | 1.28674 | + | 0.330380i | ||||
\(275\) | −0.00329756 | 0.000846669i | −0.000198850 | 5.10561e-5i | ||||||
\(276\) | −6.80241 | + | 3.73966i | −0.409457 | + | 0.225101i | ||||
\(277\) | 8.80469 | − | 3.06612i | 0.529023 | − | 0.184225i | −0.0511918 | − | 0.998689i | \(-0.516302\pi\) |
0.580215 | + | 0.814464i | \(0.302969\pi\) | |||||||
\(278\) | −17.3059 | − | 2.18624i | −1.03794 | − | 0.131122i | ||||
\(279\) | −12.2228 | − | 13.5748i | −0.731761 | − | 0.812703i | ||||
\(280\) | 0.0860234 | + | 4.10671i | 0.00514088 | + | 0.245423i | ||||
\(281\) | 10.3795 | − | 8.22670i | 0.619189 | − | 0.490764i | −0.261030 | − | 0.965331i | \(-0.584062\pi\) |
0.880219 | + | 0.474567i | \(0.157395\pi\) | |||||||
\(282\) | −5.99814 | + | 2.37483i | −0.357184 | + | 0.141419i | ||||
\(283\) | 7.60280 | − | 23.3990i | 0.451939 | − | 1.39093i | −0.422752 | − | 0.906245i | \(-0.638936\pi\) |
0.874691 | − | 0.484681i | \(-0.161064\pi\) | |||||||
\(284\) | 1.74486 | − | 1.78180i | 0.103539 | − | 0.105730i | ||||
\(285\) | −5.40423 | − | 3.59056i | −0.320119 | − | 0.212686i | ||||
\(286\) | 1.25448 | − | 0.558531i | 0.0741790 | − | 0.0330266i | ||||
\(287\) | −1.21222 | + | 4.34168i | −0.0715550 | + | 0.256281i | ||||
\(288\) | 1.73439 | − | 4.66363i | 0.102200 | − | 0.274807i | ||||
\(289\) | −3.94170 | − | 9.37694i | −0.231865 | − | 0.551584i | ||||
\(290\) | 0.915247 | − | 3.90218i | 0.0537452 | − | 0.229144i | ||||
\(291\) | −10.9349 | − | 0.918227i | −0.641014 | − | 0.0538274i | ||||
\(292\) | −0.233507 | − | 0.836329i | −0.0136650 | − | 0.0489425i | ||||
\(293\) | −15.6216 | − | 18.8833i | −0.912626 | − | 1.10318i | −0.994311 | − | 0.106517i | \(-0.966030\pi\) |
0.0816850 | − | 0.996658i | \(-0.473970\pi\) | |||||||
\(294\) | 6.13981 | + | 18.8964i | 0.358081 | + | 1.10206i | ||||
\(295\) | 14.9626 | + | 7.42751i | 0.871157 | + | 0.432446i | ||||
\(296\) | −0.695195 | − | 0.242093i | −0.0404074 | − | 0.0140713i | ||||
\(297\) | −0.836049 | + | 0.141407i | −0.0485125 | + | 0.00820527i | ||||
\(298\) | −18.3065 | + | 3.89116i | −1.06047 | + | 0.225409i | ||||
\(299\) | 6.08829 | − | 12.9383i | 0.352095 | − | 0.748240i | ||||
\(300\) | −0.000433739 | − | 0.00412675i | −2.50419e−5 | − | 0.000238258i | ||||
\(301\) | −6.04123 | −0.348211 | ||||||||
\(302\) | −5.10095 | + | 14.8871i | −0.293527 | + | 0.856658i | ||||
\(303\) | 28.9127 | 1.66099 | ||||||||
\(304\) | 0.408560 | + | 3.88719i | 0.0234325 | + | 0.222946i | ||||
\(305\) | 2.57069 | − | 5.46299i | 0.147197 | − | 0.312810i | ||||
\(306\) | 8.10364 | − | 1.72248i | 0.463254 | − | 0.0984677i | ||||
\(307\) | 12.2737 | − | 2.07593i | 0.700495 | − | 0.118480i | 0.194355 | − | 0.980931i | \(-0.437739\pi\) |
0.506140 | + | 0.862451i | \(0.331072\pi\) | |||||||
\(308\) | −0.142862 | − | 0.0497496i | −0.00814029 | − | 0.00283475i | ||||
\(309\) | −17.4440 | − | 8.65926i | −0.992353 | − | 0.492608i | ||||
\(310\) | −6.52603 | − | 20.0851i | −0.370654 | − | 1.14075i | ||||
\(311\) | 8.41099 | + | 10.1671i | 0.476943 | + | 0.576525i | 0.953031 | − | 0.302872i | \(-0.0979456\pi\) |
−0.476088 | + | 0.879398i | \(0.657946\pi\) | |||||||
\(312\) | 2.95085 | + | 10.5688i | 0.167059 | + | 0.598339i | ||||
\(313\) | −11.6288 | − | 0.976494i | −0.657296 | − | 0.0551947i | −0.249652 | − | 0.968336i | \(-0.580316\pi\) |
−0.407644 | + | 0.913141i | \(0.633650\pi\) | |||||||
\(314\) | 3.23933 | − | 13.8110i | 0.182806 | − | 0.779397i | ||||
\(315\) | −1.30389 | − | 3.10182i | −0.0734657 | − | 0.174768i | ||||
\(316\) | 0.419981 | − | 1.12930i | 0.0236258 | − | 0.0635278i | ||||
\(317\) | 4.37787 | − | 15.6798i | 0.245886 | − | 0.880663i | −0.733673 | − | 0.679503i | \(-0.762196\pi\) |
0.979558 | − | 0.201160i | \(-0.0644712\pi\) | |||||||
\(318\) | 23.6363 | − | 10.5236i | 1.32546 | − | 0.590133i | ||||
\(319\) | 0.806070 | + | 0.535552i | 0.0451313 | + | 0.0299851i | ||||
\(320\) | 13.8779 | − | 14.1717i | 0.775799 | − | 0.792220i | ||||
\(321\) | 2.69140 | − | 8.28328i | 0.150219 | − | 0.462328i | ||||
\(322\) | 6.67313 | − | 2.64208i | 0.371879 | − | 0.147237i | ||||
\(323\) | 2.54063 | − | 2.01368i | 0.141365 | − | 0.112044i | ||||
\(324\) | −0.0776308 | − | 3.70606i | −0.00431282 | − | 0.205892i | ||||
\(325\) | 0.00511457 | + | 0.00568030i | 0.000283705 | + | 0.000315087i | ||||
\(326\) | −24.8359 | − | 3.13750i | −1.37553 | − | 0.173770i | ||||
\(327\) | −1.55882 | + | 0.542837i | −0.0862028 | + | 0.0300190i | ||||
\(328\) | 19.6317 | − | 10.7926i | 1.08398 | − | 0.595924i | ||||
\(329\) | −1.26799 | + | 0.325564i | −0.0699065 | + | 0.0179489i | ||||
\(330\) | 4.48318 | + | 1.15108i | 0.246791 | + | 0.0633651i | ||||
\(331\) | 6.74164 | + | 3.70625i | 0.370554 | + | 0.203714i | 0.656140 | − | 0.754639i | \(-0.272188\pi\) |
−0.285586 | + | 0.958353i | \(0.592188\pi\) | |||||||
\(332\) | −5.94430 | − | 1.00540i | −0.326236 | − | 0.0551787i | ||||
\(333\) | 0.602478 | − | 0.0252513i | 0.0330156 | − | 0.00138376i | ||||
\(334\) | 8.94741 | + | 15.4974i | 0.489581 | + | 0.847978i | ||||
\(335\) | −16.3219 | + | 28.2704i | −0.891762 | + | 1.54458i | ||||
\(336\) | −2.07704 | + | 3.97302i | −0.113312 | + | 0.216746i | ||||
\(337\) | −33.9854 | − | 10.2608i | −1.85130 | − | 0.558942i | −0.999377 | − | 0.0352819i | \(-0.988767\pi\) |
−0.851927 | − | 0.523660i | \(-0.824566\pi\) | |||||||
\(338\) | 10.6311 | + | 8.42607i | 0.578253 | + | 0.458318i | ||||
\(339\) | −8.51523 | + | 11.2184i | −0.462484 | + | 0.609300i | ||||
\(340\) | −2.05628 | − | 0.437076i | −0.111517 | − | 0.0237038i | ||||
\(341\) | 5.09470 | + | 0.213531i | 0.275894 | + | 0.0115634i | ||||
\(342\) | −1.82229 | − | 3.48573i | −0.0985384 | − | 0.188487i | ||||
\(343\) | 1.55316 | + | 8.14193i | 0.0838626 | + | 0.439623i | ||||
\(344\) | 21.0068 | + | 21.4514i | 1.13261 | + | 1.15658i | ||||
\(345\) | 43.1712 | − | 21.4304i | 2.32426 | − | 1.15377i | ||||
\(346\) | −10.4865 | + | 1.32475i | −0.563757 | + | 0.0712190i | ||||
\(347\) | 15.6562 | + | 13.5141i | 0.840468 | + | 0.725473i | 0.963724 | − | 0.266902i | \(-0.0860000\pi\) |
−0.123255 | + | 0.992375i | \(0.539333\pi\) | |||||||
\(348\) | −0.789256 | + | 0.876558i | −0.0423086 | + | 0.0469884i | ||||
\(349\) | 5.27398 | − | 4.55237i | 0.282309 | − | 0.243683i | −0.500806 | − | 0.865560i | \(-0.666963\pi\) |
0.783115 | + | 0.621877i | \(0.213630\pi\) | |||||||
\(350\) | −8.03462e−5 | 0.00383569i | −4.29468e−6 | 0.000205026i | ||||||
\(351\) | 1.15098 | + | 1.51636i | 0.0614346 | + | 0.0809371i | ||||
\(352\) | 0.591395 | + | 1.25678i | 0.0315214 | + | 0.0669865i | ||||
\(353\) | −0.782506 | + | 0.473902i | −0.0416486 | + | 0.0252233i | −0.538698 | − | 0.842499i | \(-0.681084\pi\) |
0.497049 | + | 0.867722i | \(0.334417\pi\) | |||||||
\(354\) | 12.7830 | + | 18.3923i | 0.679409 | + | 0.977541i | ||||
\(355\) | −11.2876 | + | 10.5997i | −0.599082 | + | 0.562576i | ||||
\(356\) | 1.60103 | + | 4.30505i | 0.0848546 | + | 0.228167i | ||||
\(357\) | 3.70540 | − | 0.311151i | 0.196111 | − | 0.0164679i | ||||
\(358\) | 4.13157 | − | 27.9789i | 0.218360 | − | 1.47873i | ||||
\(359\) | 0.910315 | + | 0.854843i | 0.0480446 | + | 0.0451169i | 0.708198 | − | 0.706014i | \(-0.249509\pi\) |
−0.660153 | + | 0.751131i | \(0.729509\pi\) | |||||||
\(360\) | −6.48014 | + | 15.4156i | −0.341533 | + | 0.812476i | ||||
\(361\) | 14.1261 | + | 10.2632i | 0.743480 | + | 0.540170i | ||||
\(362\) | −0.173140 | + | 2.75199i | −0.00910005 | + | 0.144641i | ||||
\(363\) | 14.0524 | − | 20.2188i | 0.737562 | − | 1.06121i | ||||
\(364\) | 0.0496150 | + | 0.335992i | 0.00260053 | + | 0.0176108i | ||||
\(365\) | 1.23112 | + | 5.24890i | 0.0644397 | + | 0.274740i | ||||
\(366\) | 6.54934 | − | 4.75837i | 0.342340 | − | 0.248724i | ||||
\(367\) | −3.57666 | − | 5.63591i | −0.186700 | − | 0.294192i | 0.738066 | − | 0.674729i | \(-0.235739\pi\) |
−0.924766 | + | 0.380536i | \(0.875739\pi\) | |||||||
\(368\) | −26.5246 | − | 11.8095i | −1.38269 | − | 0.615613i | ||||
\(369\) | −11.6975 | + | 14.1398i | −0.608946 | + | 0.736089i | ||||
\(370\) | 0.648197 | + | 0.256639i | 0.0336982 | + | 0.0133420i | ||||
\(371\) | 5.02629 | − | 1.51753i | 0.260952 | − | 0.0787861i | ||||
\(372\) | −1.16457 | + | 6.10487i | −0.0603800 | + | 0.316523i | ||||
\(373\) | 16.8811 | − | 11.2158i | 0.874069 | − | 0.580730i | −0.0340602 | − | 0.999420i | \(-0.510844\pi\) |
0.908129 | + | 0.418690i | \(0.137510\pi\) | |||||||
\(374\) | −1.23919 | + | 1.95266i | −0.0640772 | + | 0.100970i | ||||
\(375\) | 1.64354 | + | 26.1234i | 0.0848722 | + | 1.34901i | ||||
\(376\) | 5.56512 | + | 3.37036i | 0.286999 | + | 0.173813i | ||||
\(377\) | 0.227115 | − | 2.16086i | 0.0116970 | − | 0.111290i | ||||
\(378\) | −0.0998789 | + | 0.950284i | −0.00513722 | + | 0.0488773i | ||||
\(379\) | 6.76034 | + | 4.09421i | 0.347256 | + | 0.210305i | 0.680870 | − | 0.732404i | \(-0.261602\pi\) |
−0.333615 | + | 0.942710i | \(0.608268\pi\) | |||||||
\(380\) | 0.0626695 | + | 0.996104i | 0.00321488 | + | 0.0510990i | ||||
\(381\) | −9.81163 | + | 15.4607i | −0.502665 | + | 0.792074i | ||||
\(382\) | −2.41354 | + | 1.60355i | −0.123488 | + | 0.0820450i | ||||
\(383\) | 2.29976 | − | 12.0558i | 0.117512 | − | 0.616022i | −0.873991 | − | 0.485942i | \(-0.838477\pi\) |
0.991504 | − | 0.130080i | \(-0.0415234\pi\) | |||||||
\(384\) | 16.4559 | − | 4.96832i | 0.839760 | − | 0.253538i | ||||
\(385\) | 0.873310 | + | 0.345768i | 0.0445080 | + | 0.0176220i | ||||
\(386\) | 8.89720 | − | 10.7549i | 0.452856 | − | 0.547409i | ||||
\(387\) | −22.4678 | − | 10.0033i | −1.14210 | − | 0.508497i | ||||
\(388\) | 0.904476 | + | 1.42523i | 0.0459178 | + | 0.0723549i | ||||
\(389\) | −15.8619 | + | 11.5244i | −0.804231 | + | 0.584308i | −0.912152 | − | 0.409851i | \(-0.865581\pi\) |
0.107921 | + | 0.994159i | \(0.465581\pi\) | |||||||
\(390\) | −2.37298 | − | 10.1173i | −0.120161 | − | 0.512307i | ||||
\(391\) | 3.51797 | + | 23.8236i | 0.177911 | + | 1.20481i | ||||
\(392\) | 11.4361 | − | 16.4543i | 0.577608 | − | 0.831069i | ||||
\(393\) | −2.05444 | + | 32.6544i | −0.103633 | + | 1.64719i | ||||
\(394\) | −18.5426 | − | 13.4720i | −0.934160 | − | 0.678707i | ||||
\(395\) | −2.89898 | + | 6.89641i | −0.145864 | + | 0.346996i | ||||
\(396\) | −0.448936 | − | 0.421579i | −0.0225599 | − | 0.0211851i | ||||
\(397\) | −1.71224 | + | 11.5953i | −0.0859350 | + | 0.581950i | 0.902545 | + | 0.430596i | \(0.141697\pi\) |
−0.988480 | + | 0.151354i | \(0.951637\pi\) | |||||||
\(398\) | −12.8581 | + | 1.07972i | −0.644517 | + | 0.0541216i | ||||
\(399\) | −0.615373 | − | 1.65469i | −0.0308072 | − | 0.0828380i | ||||
\(400\) | 0.0113139 | − | 0.0106245i | 0.000565697 | − | 0.000531225i | ||||
\(401\) | −10.1314 | − | 14.5772i | −0.505939 | − | 0.727951i | 0.483107 | − | 0.875562i | \(-0.339508\pi\) |
−0.989046 | + | 0.147611i | \(0.952842\pi\) | |||||||
\(402\) | −37.4393 | + | 22.6740i | −1.86730 | + | 1.13088i | ||||
\(403\) | −4.87447 | − | 10.3588i | −0.242815 | − | 0.516007i | ||||
\(404\) | −2.68899 | − | 3.54261i | −0.133782 | − | 0.176252i | ||||
\(405\) | −0.482007 | + | 23.0108i | −0.0239511 | + | 1.14342i | ||||
\(406\) | 0.825553 | − | 0.712598i | 0.0409715 | − | 0.0353656i | ||||
\(407\) | −0.112635 | + | 0.125094i | −0.00558310 | + | 0.00620066i | ||||
\(408\) | −13.9894 | − | 12.0753i | −0.692578 | − | 0.597818i | ||||
\(409\) | 24.1982 | − | 3.05694i | 1.19652 | − | 0.151156i | 0.498279 | − | 0.867017i | \(-0.333965\pi\) |
0.698243 | + | 0.715861i | \(0.253965\pi\) | |||||||
\(410\) | −19.0037 | + | 9.43351i | −0.938525 | + | 0.465888i | ||||
\(411\) | 28.1132 | + | 28.7083i | 1.38672 | + | 1.41607i | ||||
\(412\) | 0.561353 | + | 2.94272i | 0.0276559 | + | 0.144977i | ||||
\(413\) | 2.10578 | + | 4.02800i | 0.103619 | + | 0.198205i | ||||
\(414\) | 29.1928 | + | 1.22354i | 1.43475 | + | 0.0601337i | ||||
\(415\) | 36.6142 | + | 7.78259i | 1.79732 | + | 0.382032i | ||||
\(416\) | 1.88540 | − | 2.48392i | 0.0924393 | − | 0.121784i | ||||
\(417\) | −24.9786 | − | 19.7978i | −1.22321 | − | 0.969504i | ||||
\(418\) | 1.05113 | + | 0.317355i | 0.0514124 | + | 0.0155223i | ||||
\(419\) | −1.87240 | + | 3.58157i | −0.0914726 | + | 0.174971i | −0.927611 | − | 0.373547i | \(-0.878141\pi\) |
0.836138 | + | 0.548518i | \(0.184808\pi\) | |||||||
\(420\) | −0.572398 | + | 0.991422i | −0.0279302 | + | 0.0483764i | ||||
\(421\) | −7.94076 | − | 13.7538i | −0.387009 | − | 0.670319i | 0.605037 | − | 0.796197i | \(-0.293158\pi\) |
−0.992046 | + | 0.125879i | \(0.959825\pi\) | |||||||
\(422\) | 21.1616 | − | 0.886936i | 1.03013 | − | 0.0431754i | ||||
\(423\) | −5.25484 | − | 0.888790i | −0.255499 | − | 0.0432144i | ||||
\(424\) | −22.8661 | − | 12.5707i | −1.11047 | − | 0.610489i | ||||
\(425\) | −0.0124686 | − | 0.00320138i | −0.000604814 | − | 0.000155290i | ||||
\(426\) | −20.1096 | + | 5.16327i | −0.974314 | + | 0.250161i | ||||
\(427\) | 1.43958 | − | 0.791418i | 0.0696663 | − | 0.0382994i | ||||
\(428\) | −1.26524 | + | 0.440604i | −0.0611578 | + | 0.0212974i | ||||
\(429\) | 2.48935 | + | 0.314479i | 0.120187 | + | 0.0151832i | ||||
\(430\) | −19.0260 | − | 21.1305i | −0.917516 | − | 1.01900i | ||||
\(431\) | −0.0829595 | − | 3.96045i | −0.00399602 | − | 0.190768i | −0.997218 | − | 0.0745371i | \(-0.976252\pi\) |
0.993222 | − | 0.116231i | \(-0.0370813\pi\) | |||||||
\(432\) | 3.02937 | − | 2.40105i | 0.145751 | − | 0.115521i | ||||
\(433\) | −16.3483 | + | 6.47274i | −0.785647 | + | 0.311060i | −0.726479 | − | 0.687188i | \(-0.758845\pi\) |
−0.0591680 | + | 0.998248i | \(0.518845\pi\) | |||||||
\(434\) | 1.77568 | − | 5.46499i | 0.0852355 | − | 0.262328i | ||||
\(435\) | 5.12408 | − | 5.23254i | 0.245681 | − | 0.250881i | ||||
\(436\) | 0.211488 | + | 0.140513i | 0.0101285 | + | 0.00672933i | ||||
\(437\) | 10.4450 | − | 4.65040i | 0.499650 | − | 0.222459i | ||||
\(438\) | −1.94400 | + | 6.96261i | −0.0928877 | + | 0.332686i | ||||
\(439\) | −0.977915 | + | 2.62954i | −0.0466734 | + | 0.125501i | −0.958516 | − | 0.285040i | \(-0.907993\pi\) |
0.911842 | + | 0.410540i | \(0.134660\pi\) | |||||||
\(440\) | −1.80894 | − | 4.30329i | −0.0862377 | − | 0.205151i | ||||
\(441\) | −3.74819 | + | 15.9805i | −0.178485 | + | 0.760975i | ||||
\(442\) | 5.17406 | + | 0.434478i | 0.246105 | + | 0.0206660i | ||||
\(443\) | −4.78433 | − | 17.1355i | −0.227310 | − | 0.814134i | −0.986569 | − | 0.163345i | \(-0.947772\pi\) |
0.759259 | − | 0.650789i | \(-0.225562\pi\) | |||||||
\(444\) | −0.130776 | − | 0.158081i | −0.00620636 | − | 0.00750220i | ||||
\(445\) | −8.81271 | − | 27.1227i | −0.417763 | − | 1.28574i | ||||
\(446\) | −11.9508 | − | 5.93240i | −0.565884 | − | 0.280907i | ||||
\(447\) | −32.2951 | − | 11.2463i | −1.52751 | − | 0.531934i | ||||
\(448\) | 5.32140 | − | 0.900048i | 0.251413 | − | 0.0425233i | ||||
\(449\) | 17.2606 | − | 3.66886i | 0.814579 | − | 0.173144i | 0.218259 | − | 0.975891i | \(-0.429962\pi\) |
0.596320 | + | 0.802747i | \(0.296629\pi\) | |||||||
\(450\) | −0.00665010 | + | 0.0141322i | −0.000313489 | + | 0.000666198i | ||||
\(451\) | −0.535473 | − | 5.09468i | −0.0252144 | − | 0.239899i | ||||
\(452\) | 2.16652 | 0.101904 | ||||||||
\(453\) | −22.0639 | + | 18.4394i | −1.03665 | + | 0.866358i | ||||
\(454\) | −12.1255 | −0.569076 | ||||||||
\(455\) | −0.220428 | − | 2.09723i | −0.0103338 | − | 0.0983198i | ||||
\(456\) | −3.73572 | + | 7.93882i | −0.174941 | + | 0.371769i | ||||
\(457\) | −2.27035 | + | 0.482577i | −0.106202 | + | 0.0225740i | −0.260706 | − | 0.965418i | \(-0.583955\pi\) |
0.154504 | + | 0.987992i | \(0.450622\pi\) | |||||||
\(458\) | −14.8642 | + | 2.51409i | −0.694558 | + | 0.117476i | ||||
\(459\) | −3.02779 | − | 1.05439i | −0.141325 | − | 0.0492146i | ||||
\(460\) | −6.64090 | − | 3.29657i | −0.309634 | − | 0.153704i | ||||
\(461\) | 3.03848 | + | 9.35149i | 0.141516 | + | 0.435542i | 0.996547 | − | 0.0830357i | \(-0.0264616\pi\) |
−0.855030 | + | 0.518578i | \(0.826462\pi\) | |||||||
\(462\) | 0.802774 | + | 0.970387i | 0.0373484 | + | 0.0451465i | ||||
\(463\) | −7.55173 | − | 27.0473i | −0.350959 | − | 1.25699i | −0.905325 | − | 0.424720i | \(-0.860372\pi\) |
0.554366 | − | 0.832273i | \(-0.312961\pi\) | |||||||
\(464\) | −4.39636 | − | 0.369172i | −0.204096 | − | 0.0171384i | ||||
\(465\) | 8.81171 | − | 37.5689i | 0.408633 | − | 1.74222i | ||||
\(466\) | −12.9260 | − | 30.7497i | −0.598784 | − | 1.42445i | ||||
\(467\) | −8.28443 | + | 22.2762i | −0.383358 | + | 1.03082i | 0.591169 | + | 0.806547i | \(0.298666\pi\) |
−0.974527 | + | 0.224270i | \(0.928000\pi\) | |||||||
\(468\) | −0.371827 | + | 1.33174i | −0.0171877 | + | 0.0615595i | ||||
\(469\) | −8.11423 | + | 3.61269i | −0.374681 | + | 0.166819i | ||||
\(470\) | −5.13209 | − | 3.40975i | −0.236726 | − | 0.157280i | ||||
\(471\) | 18.1356 | − | 18.5195i | 0.835646 | − | 0.853333i | ||||
\(472\) | 6.98044 | − | 21.4836i | 0.321301 | − | 0.988862i | ||||
\(473\) | 6.38335 | − | 2.52735i | 0.293507 | − | 0.116208i | ||||
\(474\) | −7.86101 | + | 6.23056i | −0.361068 | + | 0.286179i | ||||
\(475\) | 0.000127994 | 0.00611038i | 5.87278e−6 | 0.000280364i | ||||||
\(476\) | −0.382741 | − | 0.425077i | −0.0175429 | − | 0.0194834i | ||||
\(477\) | 21.2060 | + | 2.67894i | 0.970954 | + | 0.122660i | ||||
\(478\) | 22.3439 | − | 7.78098i | 1.02199 | − | 0.355894i | ||||
\(479\) | −27.9998 | + | 15.3930i | −1.27934 | + | 0.703324i | −0.968943 | − | 0.247282i | \(-0.920462\pi\) |
−0.310398 | + | 0.950607i | \(0.600462\pi\) | |||||||
\(480\) | 10.1809 | − | 2.61402i | 0.464694 | − | 0.119313i | ||||
\(481\) | 0.366051 | + | 0.0939859i | 0.0166905 | + | 0.00428539i | ||||
\(482\) | 8.46581 | + | 4.65412i | 0.385607 | + | 0.211989i | ||||
\(483\) | 12.9306 | + | 2.18704i | 0.588361 | + | 0.0995138i | ||||
\(484\) | −3.78430 | + | 0.158609i | −0.172013 | + | 0.00720950i | ||||
\(485\) | −5.24037 | − | 9.07659i | −0.237953 | − | 0.412147i | ||||
\(486\) | −13.0733 | + | 22.6436i | −0.593017 | + | 1.02714i | ||||
\(487\) | −13.9195 | + | 26.6256i | −0.630754 | + | 1.20652i | 0.333802 | + | 0.942643i | \(0.391668\pi\) |
−0.964556 | + | 0.263878i | \(0.914998\pi\) | |||||||
\(488\) | −7.81596 | − | 2.35978i | −0.353812 | − | 0.106822i | ||||
\(489\) | −35.8472 | − | 28.4122i | −1.62107 | − | 1.28484i | ||||
\(490\) | −11.4734 | + | 15.1156i | −0.518315 | + | 0.682855i | ||||
\(491\) | 11.4143 | + | 2.42618i | 0.515119 | + | 0.109492i | 0.458134 | − | 0.888883i | \(-0.348518\pi\) |
0.0569850 | + | 0.998375i | \(0.481851\pi\) | |||||||
\(492\) | 6.23821 | + | 0.261458i | 0.281240 | + | 0.0117875i | ||||
\(493\) | 1.69532 | + | 3.24285i | 0.0763533 | + | 0.146050i | ||||
\(494\) | −0.461922 | − | 2.42148i | −0.0207828 | − | 0.108947i | ||||
\(495\) | 2.67537 | + | 2.73200i | 0.120249 | + | 0.122794i | ||||
\(496\) | −20.8218 | + | 10.3360i | −0.934926 | + | 0.464101i | ||||
\(497\) | −4.17994 | + | 0.528049i | −0.187496 | + | 0.0236862i | ||||
\(498\) | 37.9939 | + | 32.7954i | 1.70255 | + | 1.46960i | ||||
\(499\) | −0.581237 | + | 0.645529i | −0.0260197 | + | 0.0288979i | −0.756014 | − | 0.654555i | \(-0.772856\pi\) |
0.729994 | + | 0.683453i | \(0.239523\pi\) | |||||||
\(500\) | 3.04799 | − | 2.63095i | 0.136310 | − | 0.117660i | ||||
\(501\) | −0.684771 | + | 32.6906i | −0.0305933 | + | 1.46051i | ||||
\(502\) | −11.8248 | − | 15.5786i | −0.527767 | − | 0.695307i | ||||
\(503\) | 5.46705 | + | 11.6181i | 0.243764 | + | 0.518025i | 0.988845 | − | 0.148949i | \(-0.0475892\pi\) |
−0.745081 | + | 0.666974i | \(0.767589\pi\) | |||||||
\(504\) | −3.89191 | + | 2.35702i | −0.173359 | + | 0.104990i | ||||
\(505\) | 15.7601 | + | 22.6758i | 0.701316 | + | 1.00906i | ||||
\(506\) | −5.94572 | + | 5.58341i | −0.264320 | + | 0.248213i | ||||
\(507\) | 8.64000 | + | 23.2323i | 0.383716 | + | 1.03178i | ||||
\(508\) | 2.80688 | − | 0.235700i | 0.124535 | − | 0.0104575i | ||||
\(509\) | 4.41214 | − | 29.8790i | 0.195565 | − | 1.32436i | −0.637184 | − | 0.770711i | \(-0.719901\pi\) |
0.832749 | − | 0.553651i | \(-0.186766\pi\) | |||||||
\(510\) | 12.7580 | + | 11.9805i | 0.564932 | + | 0.530507i | ||||
\(511\) | −0.568463 | + | 1.35232i | −0.0251473 | + | 0.0598231i | ||||
\(512\) | −20.5291 | − | 14.9153i | −0.907267 | − | 0.659168i | ||||
\(513\) | −0.0955782 | + | 1.51917i | −0.00421988 | + | 0.0670730i | ||||
\(514\) | 4.89935 | − | 7.04924i | 0.216101 | − | 0.310929i | ||||
\(515\) | −2.71725 | − | 18.4012i | −0.119736 | − | 0.810852i | ||||
\(516\) | 1.91078 | + | 8.14666i | 0.0841175 | + | 0.358637i | ||||
\(517\) | 1.20360 | − | 0.874465i | 0.0529341 | − | 0.0384589i | ||||
\(518\) | 0.101641 | + | 0.160161i | 0.00446585 | + | 0.00703705i | ||||
\(519\) | −17.6437 | − | 7.85547i | −0.774472 | − | 0.344817i | ||||
\(520\) | −6.68045 | + | 8.07527i | −0.292957 | + | 0.354124i | ||||
\(521\) | 12.1377 | + | 4.80564i | 0.531761 | + | 0.210539i | 0.618632 | − | 0.785681i | \(-0.287687\pi\) |
−0.0868718 | + | 0.996219i | \(0.527687\pi\) | |||||||
\(522\) | 4.25025 | − | 1.28323i | 0.186028 | − | 0.0561652i | ||||
\(523\) | −4.44099 | + | 23.2805i | −0.194191 | + | 1.01799i | 0.743032 | + | 0.669256i | \(0.233387\pi\) |
−0.937223 | + | 0.348730i | \(0.886613\pi\) | |||||||
\(524\) | 4.19214 | − | 2.78525i | 0.183134 | − | 0.121674i | ||||
\(525\) | −0.00375624 | + | 0.00591889i | −0.000163936 | + | 0.000258322i | ||||
\(526\) | −2.31466 | − | 36.7905i | −0.100924 | − | 1.60414i | ||||
\(527\) | 16.4921 | + | 9.98795i | 0.718405 | + | 0.435082i | ||||
\(528\) | 0.532557 | − | 5.06695i | 0.0231766 | − | 0.220511i | ||||
\(529\) | −6.47370 | + | 61.5931i | −0.281465 | + | 2.67796i | ||||
\(530\) | 21.1375 | + | 12.8013i | 0.918154 | + | 0.556054i | ||||
\(531\) | 1.16186 | + | 18.4673i | 0.0504206 | + | 0.801412i | ||||
\(532\) | −0.145513 | + | 0.229292i | −0.00630880 | + | 0.00994108i | ||||
\(533\) | −9.57964 | + | 6.36470i | −0.414940 | + | 0.275686i | ||||
\(534\) | 7.16521 | − | 37.5613i | 0.310069 | − | 1.62544i | ||||
\(535\) | 7.96352 | − | 2.40433i | 0.344293 | − | 0.103948i | ||||
\(536\) | 41.0431 | + | 16.2501i | 1.77279 | + | 0.701899i | ||||
\(537\) | 32.9408 | − | 39.8186i | 1.42150 | − | 1.71830i | ||||
\(538\) | 24.0528 | + | 10.7090i | 1.03699 | + | 0.461697i | ||||
\(539\) | −2.45517 | − | 3.86874i | −0.105752 | − | 0.166638i | ||||
\(540\) | 0.798554 | − | 0.580184i | 0.0343643 | − | 0.0249671i | ||||
\(541\) | −4.56595 | − | 19.4670i | −0.196306 | − | 0.836953i | −0.977205 | − | 0.212297i | \(-0.931906\pi\) |
0.780900 | − | 0.624657i | \(-0.214761\pi\) | |||||||
\(542\) | 5.20785 | + | 35.2675i | 0.223696 | + | 1.51487i | ||||
\(543\) | −2.87550 | + | 4.13730i | −0.123399 | + | 0.177549i | ||||
\(544\) | −0.329770 | + | 5.24154i | −0.0141388 | + | 0.224729i | ||||
\(545\) | −1.27544 | − | 0.926661i | −0.0546338 | − | 0.0396938i | ||||
\(546\) | 1.09571 | − | 2.60660i | 0.0468922 | − | 0.111552i | ||||
\(547\) | 26.0476 | + | 24.4603i | 1.11371 | + | 1.04585i | 0.998621 | + | 0.0524911i | \(0.0167161\pi\) |
0.115091 | + | 0.993355i | \(0.463284\pi\) | |||||||
\(548\) | 0.902930 | − | 6.11463i | 0.0385712 | − | 0.261204i | ||||
\(549\) | 6.66439 | − | 0.559625i | 0.284429 | − | 0.0238842i | ||||
\(550\) | −0.00151976 | − | 0.00408652i | −6.48029e−5 | − | 0.000174250i | ||||
\(551\) | 1.26644 | − | 1.18927i | 0.0539523 | − | 0.0506646i | ||||
\(552\) | −37.1968 | − | 53.5191i | −1.58320 | − | 2.27793i | ||||
\(553\) | −1.74110 | + | 1.05445i | −0.0740391 | + | 0.0448397i | ||||
\(554\) | 5.08372 | + | 10.8034i | 0.215986 | + | 0.458994i | ||||
\(555\) | 0.770171 | + | 1.01466i | 0.0326919 | + | 0.0430700i | ||||
\(556\) | −0.102679 | + | 4.90185i | −0.00435457 | + | 0.207885i | ||||
\(557\) | 18.3635 | − | 15.8510i | 0.778088 | − | 0.671627i | −0.171481 | − | 0.985188i | \(-0.554855\pi\) |
0.949568 | + | 0.313560i | \(0.101522\pi\) | |||||||
\(558\) | 15.6531 | − | 17.3845i | 0.662647 | − | 0.735944i | ||||
\(559\) | −11.6683 | − | 10.0718i | −0.493515 | − | 0.425990i | ||||
\(560\) | −4.24817 | + | 0.536668i | −0.179518 | + | 0.0226784i | ||||
\(561\) | −3.78507 | + | 1.87893i | −0.159806 | + | 0.0793283i | ||||
\(562\) | 11.8672 | + | 12.1184i | 0.500586 | + | 0.511182i | ||||
\(563\) | 1.34236 | + | 7.03691i | 0.0565738 | + | 0.296570i | 0.999317 | − | 0.0369487i | \(-0.0117638\pi\) |
−0.942743 | + | 0.333519i | \(0.891764\pi\) | |||||||
\(564\) | 0.840079 | + | 1.60692i | 0.0353737 | + | 0.0676637i | ||||
\(565\) | −13.4400 | − | 0.563304i | −0.565426 | − | 0.0236984i | ||||
\(566\) | 30.8193 | + | 6.55085i | 1.29543 | + | 0.275353i | ||||
\(567\) | −3.78626 | + | 4.98821i | −0.159008 | + | 0.209485i | ||||
\(568\) | 16.4096 | + | 13.0061i | 0.688533 | + | 0.545724i | ||||
\(569\) | 16.6525 | + | 5.02770i | 0.698111 | + | 0.210772i | 0.618190 | − | 0.786029i | \(-0.287866\pi\) |
0.0799214 | + | 0.996801i | \(0.474533\pi\) | |||||||
\(570\) | 3.84960 | − | 7.36361i | 0.161242 | − | 0.308428i | ||||
\(571\) | 2.72522 | − | 4.72022i | 0.114047 | − | 0.197535i | −0.803351 | − | 0.595505i | \(-0.796952\pi\) |
0.917398 | + | 0.397970i | \(0.130285\pi\) | |||||||
\(572\) | −0.192987 | − | 0.334263i | −0.00806918 | − | 0.0139762i | ||||
\(573\) | −5.29007 | + | 0.221719i | −0.220996 | + | 0.00926246i | ||||
\(574\) | −5.69195 | − | 0.962721i | −0.237577 | − | 0.0401832i | ||||
\(575\) | −0.0397847 | − | 0.0218718i | −0.00165914 | − | 0.000912119i | ||||
\(576\) | 21.2811 | + | 5.46405i | 0.886711 | + | 0.227669i | ||||
\(577\) | −20.6507 | + | 5.30221i | −0.859702 | + | 0.220734i | −0.652709 | − | 0.757609i | \(-0.726368\pi\) |
−0.206993 | + | 0.978342i | \(0.566368\pi\) | |||||||
\(578\) | 11.4151 | − | 6.27548i | 0.474804 | − | 0.261026i | ||||
\(579\) | 24.0858 | − | 8.38757i | 1.00097 | − | 0.348575i | ||||
\(580\) | −1.11769 | − | 0.141197i | −0.0464096 | − | 0.00586289i | ||||
\(581\) | 6.81510 | + | 7.56893i | 0.282738 | + | 0.314012i | ||||
\(582\) | −0.294303 | − | 14.0499i | −0.0121992 | − | 0.582385i | ||||
\(583\) | −4.67608 | + | 3.70621i | −0.193663 | + | 0.153496i | ||||
\(584\) | 6.77855 | − | 2.68382i | 0.280498 | − | 0.111057i | ||||
\(585\) | 2.65290 | − | 8.16477i | 0.109684 | − | 0.337572i | ||||
\(586\) | 21.9591 | − | 22.4239i | 0.907123 | − | 0.926323i | ||||
\(587\) | −36.6745 | − | 24.3665i | −1.51372 | − | 1.00571i | −0.987896 | − | 0.155119i | \(-0.950424\pi\) |
−0.525823 | − | 0.850594i | \(-0.676243\pi\) | |||||||
\(588\) | 5.10183 | − | 2.27148i | 0.210396 | − | 0.0936744i | ||||
\(589\) | 2.46168 | − | 8.81674i | 0.101432 | − | 0.363287i | ||||
\(590\) | −7.45692 | + | 20.0511i | −0.306997 | + | 0.825489i | ||||
\(591\) | −16.2290 | − | 38.6073i | −0.667572 | − | 1.58809i | ||||
\(592\) | 0.175232 | − | 0.747107i | 0.00720200 | − | 0.0307059i | ||||
\(593\) | −20.0039 | − | 1.67977i | −0.821461 | − | 0.0689800i | −0.334491 | − | 0.942399i | \(-0.608565\pi\) |
−0.486970 | + | 0.873419i | \(0.661898\pi\) | |||||||
\(594\) | −0.292016 | − | 1.04588i | −0.0119816 | − | 0.0429131i | ||||
\(595\) | 2.26382 | + | 2.73649i | 0.0928076 | + | 0.112185i | ||||
\(596\) | 1.62557 | + | 5.00300i | 0.0665861 | + | 0.204931i | ||||
\(597\) | −21.1184 | − | 10.4833i | −0.864319 | − | 0.429052i | ||||
\(598\) | 17.2935 | + | 6.02225i | 0.707185 | + | 0.246268i | ||||
\(599\) | −34.9750 | + | 5.91558i | −1.42904 | + | 0.241704i | −0.829440 | − | 0.558596i | \(-0.811340\pi\) |
−0.599600 | + | 0.800300i | \(0.704674\pi\) | |||||||
\(600\) | 0.0340783 | − | 0.00724357i | 0.00139124 | − | 0.000295718i | ||||
\(601\) | 5.11080 | − | 10.8610i | 0.208474 | − | 0.443029i | −0.773056 | − | 0.634337i | \(-0.781273\pi\) |
0.981530 | + | 0.191308i | \(0.0612730\pi\) | |||||||
\(602\) | −0.808700 | − | 7.69427i | −0.0329602 | − | 0.313595i | ||||
\(603\) | −36.1595 | −1.47253 | ||||||||
\(604\) | 4.31136 | + | 0.988511i | 0.175427 | + | 0.0402219i | ||||
\(605\) | 23.5172 | 0.956111 | ||||||||
\(606\) | 3.87036 | + | 36.8240i | 0.157222 | + | 1.49587i | ||||
\(607\) | 2.10908 | − | 4.48203i | 0.0856050 | − | 0.181920i | −0.857441 | − | 0.514582i | \(-0.827947\pi\) |
0.943046 | + | 0.332662i | \(0.107947\pi\) | |||||||
\(608\) | 2.43897 | − | 0.518418i | 0.0989131 | − | 0.0210246i | ||||
\(609\) | 1.96480 | − | 0.332321i | 0.0796176 | − | 0.0134663i | ||||
\(610\) | 7.30193 | + | 2.54280i | 0.295646 | + | 0.102955i | ||||
\(611\) | −2.99181 | − | 1.48515i | −0.121036 | − | 0.0600827i | ||||
\(612\) | −0.719585 | − | 2.21465i | −0.0290875 | − | 0.0895221i | ||||
\(613\) | 0.499860 | + | 0.604226i | 0.0201891 | + | 0.0244045i | 0.780511 | − | 0.625142i | \(-0.214959\pi\) |
−0.760322 | + | 0.649546i | \(0.774959\pi\) | |||||||
\(614\) | 4.28696 | + | 15.3542i | 0.173008 | + | 0.619644i | ||||
\(615\) | −38.6309 | − | 3.24393i | −1.55775 | − | 0.130808i | ||||
\(616\) | 0.290037 | − | 1.23658i | 0.0116859 | − | 0.0498232i | ||||
\(617\) | 2.81786 | + | 6.70344i | 0.113443 | + | 0.269870i | 0.968656 | − | 0.248407i | \(-0.0799070\pi\) |
−0.855213 | + | 0.518277i | \(0.826574\pi\) | |||||||
\(618\) | 8.69355 | − | 23.3763i | 0.349706 | − | 0.940331i | ||||
\(619\) | −7.61026 | + | 27.2569i | −0.305882 | + | 1.09555i | 0.639288 | + | 0.768968i | \(0.279229\pi\) |
−0.945170 | + | 0.326579i | \(0.894104\pi\) | |||||||
\(620\) | −5.42276 | + | 2.41437i | −0.217783 | + | 0.0969634i | ||||
\(621\) | −9.41814 | − | 6.25740i | −0.377937 | − | 0.251101i | ||||
\(622\) | −11.8232 | + | 12.0735i | −0.474067 | + | 0.484102i | ||||
\(623\) | 2.39787 | − | 7.37989i | 0.0960686 | − | 0.295669i | ||||
\(624\) | −10.6354 | + | 4.21085i | −0.425756 | + | 0.168569i | ||||
\(625\) | −19.5730 | + | 15.5134i | −0.782921 | + | 0.620535i | ||||
\(626\) | −0.312978 | − | 14.9414i | −0.0125091 | − | 0.597178i | ||||
\(627\) | 1.34246 | + | 1.49095i | 0.0536127 | + | 0.0595429i | ||||
\(628\) | −3.95584 | − | 0.499738i | −0.157855 | − | 0.0199417i | ||||
\(629\) | −0.601078 | + | 0.209317i | −0.0239665 | + | 0.00834603i | ||||
\(630\) | 3.77602 | − | 2.07588i | 0.150440 | − | 0.0827052i | ||||
\(631\) | −47.0025 | + | 12.0682i | −1.87114 | + | 0.480427i | −0.999945 | − | 0.0105073i | \(-0.996655\pi\) |
−0.871196 | + | 0.490935i | \(0.836655\pi\) | |||||||
\(632\) | 9.79838 | + | 2.51580i | 0.389759 | + | 0.100073i | ||||
\(633\) | 33.9139 | + | 18.6443i | 1.34796 | + | 0.741045i | ||||
\(634\) | 20.5562 | + | 3.47682i | 0.816390 | + | 0.138082i | ||||
\(635\) | −17.4738 | + | 0.732370i | −0.693428 | + | 0.0290632i | ||||
\(636\) | −3.63617 | − | 6.29802i | −0.144183 | − | 0.249733i | ||||
\(637\) | −5.14364 | + | 8.90905i | −0.203798 | + | 0.352989i | ||||
\(638\) | −0.574189 | + | 1.09832i | −0.0227324 | + | 0.0434830i | ||||
\(639\) | −16.4199 | − | 4.95746i | −0.649561 | − | 0.196114i | ||||
\(640\) | 12.8666 | + | 10.1979i | 0.508595 | + | 0.403108i | ||||
\(641\) | 15.6616 | − | 20.6334i | 0.618597 | − | 0.814972i | −0.375110 | − | 0.926980i | \(-0.622395\pi\) |
0.993707 | + | 0.112009i | \(0.0357284\pi\) | |||||||
\(642\) | 10.9101 | + | 2.31901i | 0.430587 | + | 0.0915240i | ||||
\(643\) | 29.3263 | + | 1.22914i | 1.15652 | + | 0.0484725i | 0.612408 | − | 0.790542i | \(-0.290201\pi\) |
0.544110 | + | 0.839014i | \(0.316868\pi\) | |||||||
\(644\) | −0.934617 | − | 1.78776i | −0.0368291 | − | 0.0704475i | ||||
\(645\) | −9.73541 | − | 51.0348i | −0.383331 | − | 2.00949i | ||||
\(646\) | 2.90477 | + | 2.96626i | 0.114287 | + | 0.116706i | ||||
\(647\) | 31.1097 | − | 15.4430i | 1.22305 | − | 0.607126i | 0.286639 | − | 0.958039i | \(-0.407462\pi\) |
0.936408 | + | 0.350913i | \(0.114129\pi\) | |||||||
\(648\) | 30.8780 | − | 3.90080i | 1.21300 | − | 0.153238i | ||||
\(649\) | −3.91015 | − | 3.37515i | −0.153487 | − | 0.132486i | ||||
\(650\) | −0.00654993 | + | 0.00727443i | −0.000256909 | + | 0.000285327i | ||||
\(651\) | 7.94816 | − | 6.86067i | 0.311513 | − | 0.268891i | ||||
\(652\) | −0.147356 | + | 7.03472i | −0.00577092 | + | 0.275501i | ||||
\(653\) | −11.6902 | − | 15.4013i | −0.457474 | − | 0.602700i | 0.508588 | − | 0.861010i | \(-0.330168\pi\) |
−0.966062 | + | 0.258310i | \(0.916834\pi\) | |||||||
\(654\) | −0.900041 | − | 1.91268i | −0.0351944 | − | 0.0747918i | ||||
\(655\) | −26.7302 | + | 16.1884i | −1.04444 | + | 0.632533i | ||||
\(656\) | 13.3282 | + | 19.1767i | 0.520378 | + | 0.748726i | ||||
\(657\) | −4.35339 | + | 4.08811i | −0.169842 | + | 0.159492i | ||||
\(658\) | −0.584385 | − | 1.57136i | −0.0227817 | − | 0.0612581i | ||||
\(659\) | 36.9613 | − | 3.10373i | 1.43981 | − | 0.120904i | 0.662046 | − | 0.749463i | \(-0.269688\pi\) |
0.777762 | + | 0.628559i | \(0.216355\pi\) | |||||||
\(660\) | 0.190052 | − | 1.28703i | 0.00739776 | − | 0.0500976i | ||||
\(661\) | −10.7694 | − | 10.1131i | −0.418880 | − | 0.393355i | 0.446245 | − | 0.894911i | \(-0.352761\pi\) |
−0.865125 | + | 0.501556i | \(0.832761\pi\) | |||||||
\(662\) | −3.81792 | + | 9.08246i | −0.148388 | + | 0.353000i | ||||
\(663\) | 7.67549 | + | 5.57657i | 0.298091 | + | 0.216576i | ||||
\(664\) | 3.17834 | − | 50.5182i | 0.123343 | − | 1.96049i | ||||
\(665\) | 0.962313 | − | 1.38459i | 0.0373169 | − | 0.0536920i | ||||
\(666\) | 0.112811 | + | 0.763952i | 0.00437132 | + | 0.0296025i | ||||
\(667\) | 2.94698 | + | 12.5645i | 0.114107 | + | 0.486499i | ||||
\(668\) | 4.06920 | − | 2.95645i | 0.157442 | − | 0.114388i | ||||
\(669\) | −13.0630 | − | 20.5840i | −0.505044 | − | 0.795822i | ||||
\(670\) | −38.1908 | − | 17.0036i | −1.47544 | − | 0.656908i | ||||
\(671\) | −1.19002 | + | 1.43849i | −0.0459402 | + | 0.0555321i | ||||
\(672\) | 2.65917 | + | 1.05284i | 0.102580 | + | 0.0406141i | ||||
\(673\) | 43.7633 | − | 13.2129i | 1.68695 | − | 0.509321i | 0.706773 | − | 0.707440i | \(-0.250150\pi\) |
0.980178 | + | 0.198120i | \(0.0634835\pi\) | |||||||
\(674\) | 8.51902 | − | 44.6583i | 0.328140 | − | 1.72017i | ||||
\(675\) | 0.00503445 | − | 0.00334488i | 0.000193776 | − | 0.000128745i | ||||
\(676\) | 2.04305 | − | 3.21933i | 0.0785787 | − | 0.123820i | ||||
\(677\) | 2.48567 | + | 39.5086i | 0.0955320 | + | 1.51844i | 0.695565 | + | 0.718463i | \(0.255154\pi\) |
−0.600033 | + | 0.799975i | \(0.704846\pi\) | |||||||
\(678\) | −15.4279 | − | 9.34349i | −0.592506 | − | 0.358834i | ||||
\(679\) | 0.298087 | − | 2.83611i | 0.0114395 | − | 0.108840i | ||||
\(680\) | 1.84499 | − | 17.5539i | 0.0707519 | − | 0.673160i | ||||
\(681\) | −18.9513 | − | 11.4773i | −0.726217 | − | 0.439813i | ||||
\(682\) | 0.410036 | + | 6.51733i | 0.0157011 | + | 0.249561i | ||||
\(683\) | −5.69982 | + | 8.98147i | −0.218097 | + | 0.343667i | −0.935706 | − | 0.352780i | \(-0.885237\pi\) |
0.717609 | + | 0.696446i | \(0.245237\pi\) | |||||||
\(684\) | −0.920848 | + | 0.611810i | −0.0352095 | + | 0.0233931i | ||||
\(685\) | −7.19118 | + | 37.6975i | −0.274761 | + | 1.44035i | ||||
\(686\) | −10.1619 | + | 3.06805i | −0.387982 | + | 0.117139i | ||||
\(687\) | −25.6116 | − | 10.1403i | −0.977142 | − | 0.386878i | ||||
\(688\) | −19.9503 | + | 24.1157i | −0.760596 | + | 0.919403i | ||||
\(689\) | 12.2379 | + | 5.44868i | 0.466228 | + | 0.207578i | ||||
\(690\) | 33.0733 | + | 52.1153i | 1.25908 | + | 1.98399i | ||||
\(691\) | 21.1355 | − | 15.3558i | 0.804033 | − | 0.584164i | −0.108062 | − | 0.994144i | \(-0.534464\pi\) |
0.912094 | + | 0.409980i | \(0.134464\pi\) | |||||||
\(692\) | 0.678413 | + | 2.89243i | 0.0257894 | + | 0.109954i | ||||
\(693\) | 0.151989 | + | 1.02926i | 0.00577357 | + | 0.0390985i | ||||
\(694\) | −15.1161 | + | 21.7492i | −0.573798 | + | 0.825587i | ||||
\(695\) | 1.91148 | − | 30.3821i | 0.0725065 | − | 1.15246i | ||||
\(696\) | −8.01208 | − | 5.82112i | −0.303697 | − | 0.220649i | ||||
\(697\) | 7.50613 | − | 17.8564i | 0.284315 | − | 0.676358i | ||||
\(698\) | 6.50401 | + | 6.10768i | 0.246181 | + | 0.231179i | ||||
\(699\) | 8.90358 | − | 60.2949i | 0.336764 | − | 2.28056i | ||||
\(700\) | 0.00107457 | 9.02345e-5i | 4.06151e−5 | 3.41054e-6i | ||||||
\(701\) | 7.21401 | + | 19.3979i | 0.272469 | + | 0.732648i | 0.998965 | + | 0.0454773i | \(0.0144809\pi\) |
−0.726496 | + | 0.687171i | \(0.758852\pi\) | |||||||
\(702\) | −1.77720 | + | 1.66890i | −0.0670759 | + | 0.0629885i | ||||
\(703\) | 0.172460 | + | 0.248137i | 0.00650445 | + | 0.00935868i | ||||
\(704\) | −5.24623 | + | 3.17723i | −0.197725 | + | 0.119746i | ||||
\(705\) | −4.79364 | − | 10.1870i | −0.180539 | − | 0.383665i | ||||
\(706\) | −0.708323 | − | 0.933181i | −0.0266581 | − | 0.0351207i | ||||
\(707\) | −0.157356 | + | 7.51211i | −0.00591799 | + | 0.282522i | ||||
\(708\) | 4.76575 | − | 4.11369i | 0.179108 | − | 0.154602i | ||||
\(709\) | 2.06166 | − | 2.28971i | 0.0774274 | − | 0.0859919i | −0.703186 | − | 0.711006i | \(-0.748240\pi\) |
0.780614 | + | 0.625014i | \(0.214907\pi\) | |||||||
\(710\) | −15.0111 | − | 12.9572i | −0.563356 | − | 0.486276i | ||||
\(711\) | −8.22129 | + | 1.03859i | −0.308323 | + | 0.0389502i | ||||
\(712\) | −34.5427 | + | 17.1471i | −1.29454 | + | 0.642617i | ||||
\(713\) | 47.5767 | + | 48.5837i | 1.78176 | + | 1.81947i | ||||
\(714\) | 0.892308 | + | 4.67764i | 0.0333938 | + | 0.175056i | ||||
\(715\) | 1.11029 | + | 2.12379i | 0.0415224 | + | 0.0794251i | ||||
\(716\) | −7.94252 | − | 0.332890i | −0.296826 | − | 0.0124407i | ||||
\(717\) | 42.2873 | + | 8.98845i | 1.57925 | + | 0.335680i | ||||
\(718\) | −0.966892 | + | 1.27383i | −0.0360841 | + | 0.0475390i | ||||
\(719\) | 18.4018 | + | 14.5851i | 0.686273 | + | 0.543933i | 0.901580 | − | 0.432613i | \(-0.142408\pi\) |
−0.215306 | + | 0.976547i | \(0.569075\pi\) | |||||||
\(720\) | −16.6879 | − | 5.03838i | −0.621922 | − | 0.187769i | ||||
\(721\) | 2.34479 | − | 4.48517i | 0.0873246 | − | 0.167037i | ||||
\(722\) | −11.1805 | + | 19.3653i | −0.416097 | + | 0.720701i | ||||
\(723\) | 8.82619 | + | 15.2874i | 0.328250 | + | 0.568545i | ||||
\(724\) | 0.774367 | − | 0.0324556i | 0.0287791 | − | 0.00120620i | ||||
\(725\) | −0.00680199 | − | 0.00115047i | −0.000252620 | − | 4.27274e-5i | ||||
\(726\) | 27.6323 | + | 15.1910i | 1.02553 | + | 0.563790i | ||||
\(727\) | −43.5960 | − | 11.1936i | −1.61689 | − | 0.415146i | −0.671476 | − | 0.741026i | \(-0.734339\pi\) |
−0.945411 | + | 0.325880i | \(0.894339\pi\) | |||||||
\(728\) | −2.76204 | + | 0.709172i | −0.102368 | + | 0.0262836i | ||||
\(729\) | −14.7933 | + | 8.13268i | −0.547900 | + | 0.301210i | ||||
\(730\) | −6.52033 | + | 2.27062i | −0.241328 | + | 0.0840394i | ||||
\(731\) | 25.7547 | + | 3.25357i | 0.952571 | + | 0.120338i | ||||
\(732\) | −1.52256 | − | 1.69098i | −0.0562755 | − | 0.0625002i | ||||
\(733\) | 0.474884 | + | 22.6707i | 0.0175402 | + | 0.837362i | 0.916662 | + | 0.399663i | \(0.130873\pi\) |
−0.899122 | + | 0.437699i | \(0.855794\pi\) | |||||||
\(734\) | 6.69926 | − | 5.30977i | 0.247274 | − | 0.195987i | ||||
\(735\) | −32.2399 | + | 12.7647i | −1.18919 | + | 0.470833i | ||||
\(736\) | −5.72374 | + | 17.6159i | −0.210980 | + | 0.649330i | ||||
\(737\) | 7.06238 | − | 7.21187i | 0.260146 | − | 0.265653i | ||||
\(738\) | −19.5747 | − | 13.0054i | −0.720554 | − | 0.478735i | ||||
\(739\) | −20.5560 | + | 9.15213i | −0.756166 | + | 0.336667i | −0.748351 | − | 0.663303i | \(-0.769154\pi\) |
−0.00781464 | + | 0.999969i | \(0.502488\pi\) | |||||||
\(740\) | 0.0526957 | − | 0.188735i | 0.00193713 | − | 0.00693803i | ||||
\(741\) | 1.57009 | − | 4.22185i | 0.0576788 | − | 0.155094i | ||||
\(742\) | 2.60560 | + | 6.19847i | 0.0956545 | + | 0.227553i | ||||
\(743\) | −9.41675 | + | 40.1485i | −0.345467 | + | 1.47291i | 0.464050 | + | 0.885809i | \(0.346396\pi\) |
−0.809517 | + | 0.587097i | \(0.800271\pi\) | |||||||
\(744\) | −51.9987 | − | 4.36646i | −1.90637 | − | 0.160082i | ||||
\(745\) | −8.78348 | − | 31.4589i | −0.321802 | − | 1.15257i | ||||
\(746\) | 16.5444 | + | 19.9988i | 0.605735 | + | 0.732208i | ||||
\(747\) | 12.8129 | + | 39.4342i | 0.468801 | + | 1.44282i | ||||
\(748\) | 0.582247 | + | 0.289030i | 0.0212890 | + | 0.0105680i | ||||
\(749\) | 2.13752 | + | 0.744362i | 0.0781032 | + | 0.0271984i | ||||
\(750\) | −33.0514 | + | 5.59023i | −1.20687 | + | 0.204126i | ||||
\(751\) | −37.1361 | + | 7.89352i | −1.35512 | + | 0.288039i | −0.827510 | − | 0.561451i | \(-0.810243\pi\) |
−0.527606 | + | 0.849489i | \(0.676910\pi\) | |||||||
\(752\) | −2.88774 | + | 6.13676i | −0.105305 | + | 0.223785i | ||||
\(753\) | −3.73553 | − | 35.5412i | −0.136130 | − | 1.29519i | ||||
\(754\) | 2.78253 | 0.101334 | ||||||||
\(755\) | −26.4886 | − | 7.25322i | −0.964020 | − | 0.263972i | ||||
\(756\) | 0.268573 | 0.00976792 | ||||||||
\(757\) | 1.62952 | + | 15.5039i | 0.0592259 | + | 0.563497i | 0.983390 | + | 0.181503i | \(0.0580961\pi\) |
−0.924165 | + | 0.381995i | \(0.875237\pi\) | |||||||
\(758\) | −4.30953 | + | 9.15822i | −0.156529 | + | 0.332641i | ||||
\(759\) | −14.5778 | + | 3.09860i | −0.529140 | + | 0.112472i | ||||
\(760\) | −8.26262 | + | 1.39752i | −0.299717 | + | 0.0506933i | ||||
\(761\) | 15.4117 | + | 5.36693i | 0.558674 | + | 0.194551i | 0.593488 | − | 0.804843i | \(-0.297750\pi\) |
−0.0348137 | + | 0.999394i | \(0.511084\pi\) | |||||||
\(762\) | −21.0045 | − | 10.4267i | −0.760913 | − | 0.377721i | ||||
\(763\) | −0.132556 | − | 0.407967i | −0.00479886 | − | 0.0147694i | ||||
\(764\) | 0.519163 | + | 0.627560i | 0.0187826 | + | 0.0227043i | ||||
\(765\) | 3.88814 | + | 13.9258i | 0.140576 | + | 0.503487i | ||||
\(766\) | 15.6624 | + | 1.31521i | 0.565906 | + | 0.0475205i | ||||
\(767\) | −2.64817 | + | 11.2905i | −0.0956198 | + | 0.407677i | ||||
\(768\) | −7.56478 | − | 17.9959i | −0.272971 | − | 0.649372i | ||||
\(769\) | −2.58614 | + | 6.95391i | −0.0932585 | + | 0.250764i | −0.975487 | − | 0.220057i | \(-0.929376\pi\) |
0.882229 | + | 0.470821i | \(0.156042\pi\) | |||||||
\(770\) | −0.323474 | + | 1.15856i | −0.0116572 | + | 0.0417514i | ||||
\(771\) | 14.3298 | − | 6.38006i | 0.516077 | − | 0.229772i | ||||
\(772\) | −3.26778 | − | 2.17111i | −0.117610 | − | 0.0781399i | ||||
\(773\) | 11.3165 | − | 11.5560i | 0.407027 | − | 0.415642i | −0.480067 | − | 0.877232i | \(-0.659388\pi\) |
0.887093 | + | 0.461590i | \(0.152721\pi\) | |||||||
\(774\) | 9.73287 | − | 29.9547i | 0.349841 | − | 1.07670i | ||||
\(775\) | −0.0337964 | + | 0.0133809i | −0.00121400 | + | 0.000480658i | ||||
\(776\) | −11.1071 | + | 8.80335i | −0.398720 | + | 0.316022i | ||||
\(777\) | 0.00725876 | + | 0.346530i | 0.000260407 | + | 0.0124317i | ||||
\(778\) | −16.8011 | − | 18.6595i | −0.602347 | − | 0.668974i | ||||
\(779\) | −9.12374 | − | 1.15260i | −0.326892 | − | 0.0412961i | ||||
\(780\) | −2.75842 | + | 0.960584i | −0.0987673 | + | 0.0343944i | ||||
\(781\) | 4.19574 | − | 2.30663i | 0.150135 | − | 0.0825377i | ||||
\(782\) | −29.8715 | + | 7.66969i | −1.06820 | + | 0.274268i | ||||
\(783\) | −1.66417 | − | 0.427287i | −0.0594727 | − | 0.0152700i | ||||
\(784\) | 18.3048 | + | 10.0631i | 0.653741 | + | 0.359397i | ||||
\(785\) | 24.4102 | + | 4.12867i | 0.871237 | + | 0.147359i | ||||
\(786\) | −41.8645 | + | 1.75464i | −1.49326 | + | 0.0625860i | ||||
\(787\) | −23.4637 | − | 40.6403i | −0.836390 | − | 1.44867i | −0.892893 | − | 0.450268i | \(-0.851328\pi\) |
0.0565031 | − | 0.998402i | \(-0.482005\pi\) | |||||||
\(788\) | −3.22111 | + | 5.57913i | −0.114747 | + | 0.198748i | ||||
\(789\) | 31.2064 | − | 59.6923i | 1.11098 | − | 2.12510i | ||||
\(790\) | −9.17152 | − | 2.76904i | −0.326308 | − | 0.0985182i | ||||
\(791\) | −2.86843 | − | 2.27349i | −0.101990 | − | 0.0808359i | ||||
\(792\) | 3.12625 | − | 4.11868i | 0.111086 | − | 0.146351i | ||||
\(793\) | 4.09989 | + | 0.871459i | 0.145592 | + | 0.0309464i | ||||
\(794\) | −14.9973 | − | 0.628571i | −0.532233 | − | 0.0223072i | ||||
\(795\) | 20.9195 | + | 40.0154i | 0.741939 | + | 1.41920i | ||||
\(796\) | 0.679598 | + | 3.56258i | 0.0240877 | + | 0.126272i | ||||
\(797\) | −10.8362 | − | 11.0656i | −0.383840 | − | 0.391964i | 0.495148 | − | 0.868809i | \(-0.335114\pi\) |
−0.878988 | + | 0.476845i | \(0.841780\pi\) | |||||||
\(798\) | 2.02508 | − | 1.00526i | 0.0716869 | − | 0.0355857i | ||||
\(799\) | 5.58096 | − | 0.705040i | 0.197440 | − | 0.0249425i | ||||
\(800\) | −0.00749511 | − | 0.00646960i | −0.000264992 | − | 0.000228735i | ||||
\(801\) | 21.1378 | − | 23.4759i | 0.746867 | − | 0.829480i | ||||
\(802\) | 17.2097 | − | 14.8550i | 0.607695 | − | 0.524548i | ||||
\(803\) | 0.0349128 | − | 1.66672i | 0.00123205 | − | 0.0588173i | ||||
\(804\) | 7.43820 | + | 9.79947i | 0.262325 | + | 0.345601i | ||||
\(805\) | 5.33309 | + | 11.3334i | 0.187967 | + | 0.399450i | ||||
\(806\) | 12.5407 | − | 7.59491i | 0.441727 | − | 0.267519i | ||||
\(807\) | 27.4564 | + | 39.5046i | 0.966512 | + | 1.39063i | ||||
\(808\) | 27.2214 | − | 25.5626i | 0.957646 | − | 0.899290i | ||||
\(809\) | −9.78764 | − | 26.3182i | −0.344115 | − | 0.925298i | −0.987198 | − | 0.159501i | \(-0.949011\pi\) |
0.643083 | − | 0.765797i | \(-0.277655\pi\) | |||||||
\(810\) | −29.3717 | + | 2.46641i | −1.03202 | + | 0.0866607i | ||||
\(811\) | 5.10750 | − | 34.5879i | 0.179348 | − | 1.21455i | −0.691274 | − | 0.722593i | \(-0.742950\pi\) |
0.870622 | − | 0.491952i | \(-0.163717\pi\) | |||||||
\(812\) | −0.223452 | − | 0.209835i | −0.00784163 | − | 0.00736378i | ||||
\(813\) | −25.2429 | + | 60.0505i | −0.885307 | + | 2.10606i | ||||
\(814\) | −0.174400 | − | 0.126709i | −0.00611272 | − | 0.00444115i | ||||
\(815\) | 2.74319 | − | 43.6017i | 0.0960897 | − | 1.52730i | ||||
\(816\) | 10.9945 | − | 15.8190i | 0.384883 | − | 0.553774i | ||||
\(817\) | −1.80044 | − | 12.1925i | −0.0629893 | − | 0.426563i | ||||
\(818\) | 7.13265 | + | 30.4102i | 0.249387 | + | 1.06327i | ||||
\(819\) | 1.88978 | − | 1.37301i | 0.0660343 | − | 0.0479767i | ||||
\(820\) | 3.19535 | + | 5.03506i | 0.111586 | + | 0.175832i | ||||
\(821\) | 31.1581 | + | 13.8725i | 1.08742 | + | 0.484152i | 0.870566 | − | 0.492051i | \(-0.163753\pi\) |
0.216857 | + | 0.976203i | \(0.430419\pi\) | |||||||
\(822\) | −32.8003 | + | 39.6487i | −1.14404 | + | 1.38291i | ||||
\(823\) | −4.40871 | − | 1.74553i | −0.153678 | − | 0.0608454i | 0.290026 | − | 0.957019i | \(-0.406336\pi\) |
−0.443704 | + | 0.896173i | \(0.646336\pi\) | |||||||
\(824\) | −24.0795 | + | 7.27003i | −0.838849 | + | 0.253263i | ||||
\(825\) | 0.00149280 | − | 0.00782551i | 5.19725e−5 | − | 0.000272449i | ||||
\(826\) | −4.84827 | + | 3.22118i | −0.168693 | + | 0.112079i | ||||
\(827\) | −8.66415 | + | 13.6525i | −0.301282 | + | 0.474745i | −0.960915 | − | 0.276843i | \(-0.910712\pi\) |
0.659633 | + | 0.751588i | \(0.270712\pi\) | |||||||
\(828\) | −0.515673 | − | 8.19639i | −0.0179209 | − | 0.284844i | ||||
\(829\) | 30.8322 | + | 18.6726i | 1.07085 | + | 0.648528i | 0.939410 | − | 0.342797i | \(-0.111374\pi\) |
0.131437 | + | 0.991325i | \(0.458041\pi\) | |||||||
\(830\) | −5.01080 | + | 47.6746i | −0.173927 | + | 1.65481i | ||||
\(831\) | −2.28046 | + | 21.6971i | −0.0791083 | + | 0.752665i | ||||
\(832\) | 11.7785 | + | 7.13331i | 0.408346 | + | 0.247303i | ||||
\(833\) | −1.08787 | − | 17.2912i | −0.0376924 | − | 0.599103i | ||||
\(834\) | 21.8713 | − | 34.4637i | 0.757341 | − | 1.19338i | ||||
\(835\) | −26.0121 | + | 17.2824i | −0.900184 | + | 0.598081i | ||||
\(836\) | 0.0578295 | − | 0.303153i | 0.00200007 | − | 0.0104848i | ||||
\(837\) | −8.66662 | + | 2.61661i | −0.299562 | + | 0.0904432i | ||||
\(838\) | −4.81222 | − | 1.90529i | −0.166235 | − | 0.0658173i | ||||
\(839\) | 18.8122 | − | 22.7400i | 0.649468 | − | 0.785072i | −0.338294 | − | 0.941040i | \(-0.609850\pi\) |
0.987762 | + | 0.155969i | \(0.0498499\pi\) | |||||||
\(840\) | −8.78089 | − | 3.90950i | −0.302969 | − | 0.134891i | ||||
\(841\) | −14.4882 | − | 22.8298i | −0.499594 | − | 0.787234i | ||||
\(842\) | 16.4542 | − | 11.9547i | 0.567049 | − | 0.411986i | ||||
\(843\) | 7.07704 | + | 30.1731i | 0.243746 | + | 1.03922i | ||||
\(844\) | −0.869669 | − | 5.88939i | −0.0299353 | − | 0.202721i | ||||
\(845\) | −13.5111 | + | 19.4400i | −0.464797 | + | 0.668755i | ||||
\(846\) | 0.428554 | − | 6.81168i | 0.0147340 | − | 0.234190i | ||||
\(847\) | 5.17678 | + | 3.76115i | 0.177876 | + | 0.129235i | ||||
\(848\) | 10.5408 | − | 25.0756i | 0.361973 | − | 0.861100i | ||||
\(849\) | 41.9680 | + | 39.4106i | 1.44034 | + | 1.35257i | ||||
\(850\) | 0.00240828 | − | 0.0163088i | 8.26033e−5 | − | 0.000559388i | ||||
\(851\) | −2.23687 | + | 0.187835i | −0.0766789 | + | 0.00643891i | ||||
\(852\) | 2.03415 | + | 5.46967i | 0.0696889 | + | 0.187388i | ||||
\(853\) | 33.5690 | − | 31.5234i | 1.14938 | − | 1.07934i | 0.153549 | − | 0.988141i | \(-0.450930\pi\) |
0.995833 | − | 0.0912001i | \(-0.0290703\pi\) | |||||||
\(854\) | 1.20068 | + | 1.72755i | 0.0410864 | + | 0.0591155i | ||||
\(855\) | 5.87157 | − | 3.55595i | 0.200804 | − | 0.121611i | ||||
\(856\) | −4.78954 | − | 10.1783i | −0.163703 | − | 0.347887i | ||||
\(857\) | −2.67486 | − | 3.52400i | −0.0913716 | − | 0.120378i | 0.748567 | − | 0.663059i | \(-0.230742\pi\) |
−0.839938 | + | 0.542682i | \(0.817409\pi\) | |||||||
\(858\) | −0.0672944 | + | 3.21260i | −0.00229739 | + | 0.109676i | ||||
\(859\) | −7.14940 | + | 6.17120i | −0.243934 | + | 0.210558i | −0.766851 | − | 0.641826i | \(-0.778177\pi\) |
0.522916 | + | 0.852384i | \(0.324844\pi\) | |||||||
\(860\) | −5.34776 | + | 5.93929i | −0.182357 | + | 0.202528i | ||||
\(861\) | −7.98490 | − | 6.89238i | −0.272125 | − | 0.234892i | ||||
\(862\) | 5.03302 | − | 0.635818i | 0.171425 | − | 0.0216561i | ||||
\(863\) | 32.4913 | − | 16.1288i | 1.10602 | − | 0.549032i | 0.203235 | − | 0.979130i | \(-0.434854\pi\) |
0.902782 | + | 0.430098i | \(0.141521\pi\) | |||||||
\(864\) | −1.72534 | − | 1.76186i | −0.0586973 | − | 0.0599397i | ||||
\(865\) | −3.45651 | − | 18.1197i | −0.117525 | − | 0.616087i | ||||
\(866\) | −10.4323 | − | 19.9551i | −0.354503 | − | 0.678102i | ||||
\(867\) | 23.7811 | + | 0.996723i | 0.807648 | + | 0.0338505i | ||||
\(868\) | −1.57983 | − | 0.335804i | −0.0536230 | − | 0.0113979i | ||||
\(869\) | 1.39857 | − | 1.84255i | 0.0474433 | − | 0.0625043i | ||||
\(870\) | 7.35022 | + | 5.82571i | 0.249196 | + | 0.197510i | ||||
\(871\) | −21.6951 | − | 6.55014i | −0.735110 | − | 0.221943i | ||||
\(872\) | −0.987692 | + | 1.88928i | −0.0334475 | + | 0.0639791i | ||||
\(873\) | 5.80475 | − | 10.0541i | 0.196461 | − | 0.340281i | ||||
\(874\) | 7.32106 | + | 12.6805i | 0.247639 | + | 0.428923i | ||||
\(875\) | −6.79633 | + | 0.284851i | −0.229758 | + | 0.00962971i | ||||
\(876\) | 2.00342 | + | 0.338853i | 0.0676892 | + | 0.0114488i | ||||
\(877\) | 3.54935 | + | 1.95127i | 0.119853 | + | 0.0658898i | 0.540552 | − | 0.841310i | \(-0.318215\pi\) |
−0.420699 | + | 0.907200i | \(0.638215\pi\) | |||||||
\(878\) | −3.47995 | − | 0.893500i | −0.117443 | − | 0.0301542i | ||||
\(879\) | 55.5461 | − | 14.2618i | 1.87352 | − | 0.481039i | ||||
\(880\) | 4.26423 | − | 2.34428i | 0.143747 | − | 0.0790256i | ||||
\(881\) | −25.7550 | + | 8.96883i | −0.867707 | + | 0.302167i | −0.725961 | − | 0.687736i | \(-0.758605\pi\) |
−0.141746 | + | 0.989903i | \(0.545271\pi\) | |||||||
\(882\) | −20.8549 | − | 2.63459i | −0.702221 | − | 0.0887111i | ||||
\(883\) | −30.4366 | − | 33.8032i | −1.02427 | − | 1.13757i | −0.990412 | − | 0.138142i | \(-0.955887\pi\) |
−0.0338591 | − | 0.999427i | \(-0.510780\pi\) | |||||||
\(884\) | −0.0305639 | − | 1.45910i | −0.00102797 | − | 0.0490750i | ||||
\(885\) | −30.6340 | + | 24.2802i | −1.02975 | + | 0.816171i | ||||
\(886\) | 21.1838 | − | 8.38727i | 0.711684 | − | 0.281776i | ||||
\(887\) | −15.8576 | + | 48.8045i | −0.532444 | + | 1.63870i | 0.216663 | + | 0.976247i | \(0.430483\pi\) |
−0.749107 | + | 0.662449i | \(0.769517\pi\) | |||||||
\(888\) | 1.20523 | − | 1.23074i | 0.0404448 | − | 0.0413009i | ||||
\(889\) | −3.96359 | − | 2.63341i | −0.132935 | − | 0.0883216i | ||||
\(890\) | 33.3645 | − | 14.8548i | 1.11838 | − | 0.497936i | ||||
\(891\) | 1.91386 | − | 6.85468i | 0.0641168 | − | 0.229640i | ||||
\(892\) | −1.30720 | + | 3.51497i | −0.0437684 | + | 0.117690i | ||||
\(893\) | −1.03495 | − | 2.46206i | −0.0346334 | − | 0.0823896i | ||||
\(894\) | 10.0005 | − | 42.6374i | 0.334467 | − | 1.42601i | ||||
\(895\) | 49.1850 | + | 4.13018i | 1.64407 | + | 0.138057i | ||||
\(896\) | 1.20131 | + | 4.30261i | 0.0401329 | + | 0.143740i | ||||
\(897\) | 21.3284 | + | 25.7816i | 0.712134 | + | 0.860822i | ||||
\(898\) | 6.98332 | + | 21.4925i | 0.233036 | + | 0.717212i | ||||
\(899\) | 9.25494 | + | 4.59419i | 0.308670 | + | 0.153225i | ||||
\(900\) | 0.00414584 | + | 0.00144373i | 0.000138195 | + | 4.81245e-5i | ||||
\(901\) | −22.2451 | + | 3.76248i | −0.741092 | + | 0.125346i | ||||
\(902\) | 6.41704 | − | 1.36398i | 0.213664 | − | 0.0454157i | ||||
\(903\) | 6.01906 | − | 12.7911i | 0.200302 | − | 0.425663i | ||||
\(904\) | 1.90141 | + | 18.0908i | 0.0632401 | + | 0.601689i | ||||
\(905\) | −4.81224 | −0.159964 | ||||||||
\(906\) | −26.4384 | − | 25.6328i | −0.878358 | − | 0.851592i | ||||
\(907\) | 5.16425 | 0.171476 | 0.0857381 | − | 0.996318i | \(-0.472675\pi\) | ||||
0.0857381 | + | 0.996318i | \(0.472675\pi\) | |||||||
\(908\) | 0.356251 | + | 3.38950i | 0.0118226 | + | 0.112485i | ||||
\(909\) | −13.0241 | + | 27.6776i | −0.431982 | + | 0.918008i | ||||
\(910\) | 2.64158 | − | 0.561486i | 0.0875676 | − | 0.0186131i | ||||
\(911\) | −15.9443 | + | 2.69677i | −0.528257 | + | 0.0893480i | −0.424802 | − | 0.905286i | \(-0.639656\pi\) |
−0.103455 | + | 0.994634i | \(0.532990\pi\) | |||||||
\(912\) | −8.63744 | − | 3.00788i | −0.286014 | − | 0.0996007i | ||||
\(913\) | −10.3675 | − | 5.14647i | −0.343114 | − | 0.170323i | ||||
\(914\) | −0.918540 | − | 2.82697i | −0.0303826 | − | 0.0935080i | ||||
\(915\) | 9.00558 | + | 10.8859i | 0.297715 | + | 0.359876i | ||||
\(916\) | 1.13950 | + | 4.08122i | 0.0376500 | + | 0.134847i | ||||
\(917\) | −8.47309 | − | 0.711505i | −0.279806 | − | 0.0234960i | ||||
\(918\) | 0.937584 | − | 3.99741i | 0.0309449 | − | 0.131934i | ||||
\(919\) | −2.45460 | − | 5.83926i | −0.0809698 | − | 0.192620i | 0.876334 | − | 0.481705i | \(-0.159982\pi\) |
−0.957303 | + | 0.289085i | \(0.906649\pi\) | |||||||
\(920\) | 21.6986 | − | 58.3458i | 0.715382 | − | 1.92360i | ||||
\(921\) | −7.83322 | + | 28.0554i | −0.258113 | + | 0.924458i | ||||
\(922\) | −11.5036 | + | 5.12171i | −0.378850 | + | 0.168675i | ||||
\(923\) | −8.95363 | − | 5.94878i | −0.294712 | − | 0.195806i | ||||
\(924\) | 0.247673 | − | 0.252915i | 0.00814783 | − | 0.00832029i | ||||
\(925\) | 0.000370797 | − | 0.00114120i | 1.21917e−5 | − | 3.75223e-5i | ||||
\(926\) | 33.4372 | − | 13.2387i | 1.09881 | − | 0.435052i | ||||
\(927\) | 16.1472 | − | 12.7981i | 0.530344 | − | 0.420345i | ||||
\(928\) | 0.0589421 | + | 2.81386i | 0.00193487 | + | 0.0923696i | ||||
\(929\) | −3.83261 | − | 4.25655i | −0.125744 | − | 0.139653i | 0.676985 | − | 0.735997i | \(-0.263286\pi\) |
−0.802729 | + | 0.596344i | \(0.796619\pi\) | |||||||
\(930\) | 49.0283 | + | 6.19372i | 1.60770 | + | 0.203100i | ||||
\(931\) | −7.76804 | + | 2.70512i | −0.254587 | + | 0.0886566i | ||||
\(932\) | −8.21587 | + | 4.51671i | −0.269120 | + | 0.147950i | ||||
\(933\) | −29.9071 | + | 7.67883i | −0.979114 | + | 0.251394i | ||||
\(934\) | −29.4805 | − | 7.56930i | −0.964631 | − | 0.247675i | ||||
\(935\) | −3.53683 | − | 1.94439i | −0.115667 | − | 0.0635883i | ||||
\(936\) | −11.4465 | − | 1.93604i | −0.374142 | − | 0.0632813i | ||||
\(937\) | 17.8474 | − | 0.748028i | 0.583049 | − | 0.0244370i | 0.251471 | − | 0.967865i | \(-0.419086\pi\) |
0.331578 | + | 0.943428i | \(0.392419\pi\) | |||||||
\(938\) | −5.68741 | − | 9.85089i | −0.185701 | − | 0.321643i | ||||
\(939\) | 13.6536 | − | 23.6487i | 0.445569 | − | 0.771748i | ||||
\(940\) | −0.802366 | + | 1.53479i | −0.0261703 | + | 0.0500592i | ||||
\(941\) | −22.2174 | − | 6.70782i | −0.724265 | − | 0.218669i | −0.0945782 | − | 0.995517i | \(-0.530150\pi\) |
−0.629687 | + | 0.776849i | \(0.716817\pi\) | |||||||
\(942\) | 26.0146 | + | 20.6189i | 0.847602 | + | 0.671801i | ||||
\(943\) | 41.3024 | − | 54.4139i | 1.34499 | − | 1.77196i | ||||
\(944\) | 23.0332 | + | 4.89586i | 0.749667 | + | 0.159347i | ||||
\(945\) | −1.66610 | − | 0.0698303i | −0.0541983 | − | 0.00227158i | ||||
\(946\) | 4.07339 | + | 7.79168i | 0.132437 | + | 0.253329i | ||||
\(947\) | −2.91977 | − | 15.3060i | −0.0948797 | − | 0.497377i | −0.997725 | − | 0.0674119i | \(-0.978526\pi\) |
0.902845 | − | 0.429965i | \(-0.141474\pi\) | |||||||
\(948\) | 1.97263 | + | 2.01438i | 0.0640679 | + | 0.0654240i | ||||
\(949\) | −3.35250 | + | 1.66420i | −0.108827 | + | 0.0540221i | ||||
\(950\) | −0.00776521 | 0.000980974i | −0.000251937 | 3.18270e-5i | ||||||
\(951\) | 28.8371 | + | 24.8915i | 0.935107 | + | 0.807162i | ||||
\(952\) | 3.21355 | − | 3.56901i | 0.104152 | − | 0.115672i | ||||
\(953\) | −14.1364 | + | 12.2022i | −0.457923 | + | 0.395268i | −0.851777 | − | 0.523905i | \(-0.824475\pi\) |
0.393854 | + | 0.919173i | \(0.371141\pi\) | |||||||
\(954\) | −0.573259 | + | 27.3671i | −0.0185599 | + | 0.886042i | ||||
\(955\) | −3.05747 | − | 4.02807i | −0.0989374 | − | 0.130345i | ||||
\(956\) | −2.83154 | − | 6.01733i | −0.0915786 | − | 0.194614i | ||||
\(957\) | −1.93704 | + | 1.17311i | −0.0626156 | + | 0.0379214i | ||||
\(958\) | −23.3531 | − | 33.6007i | −0.754503 | − | 1.08559i | ||||
\(959\) | −7.61200 | + | 7.14814i | −0.245804 | + | 0.230826i | ||||
\(960\) | 16.1788 | + | 43.5035i | 0.522168 | + | 1.40407i | ||||
\(961\) | 23.3601 | − | 1.96160i | 0.753551 | − | 0.0632775i | ||||
\(962\) | −0.0707020 | + | 0.478793i | −0.00227952 | + | 0.0154369i | ||||
\(963\) | 6.71705 | + | 6.30773i | 0.216454 | + | 0.203264i | ||||
\(964\) | 1.05227 | − | 2.50324i | 0.0338912 | − | 0.0806240i | ||||
\(965\) | 19.7073 | + | 14.3182i | 0.634399 | + | 0.460918i | ||||
\(966\) | −1.05454 | + | 16.7615i | −0.0339293 | + | 0.539291i | ||||
\(967\) | 16.0900 | − | 23.1504i | 0.517418 | − | 0.744468i | −0.473225 | − | 0.880941i | \(-0.656910\pi\) |
0.990644 | + | 0.136474i | \(0.0435770\pi\) | |||||||
\(968\) | −4.64565 | − | 31.4603i | −0.149317 | − | 1.01117i | ||||
\(969\) | 1.73227 | + | 7.38559i | 0.0556487 | + | 0.237259i | ||||
\(970\) | 10.8587 | − | 7.88930i | 0.348651 | − | 0.253310i | ||||
\(971\) | −22.1600 | − | 34.9186i | −0.711149 | − | 1.12059i | −0.987206 | − | 0.159450i | \(-0.949028\pi\) |
0.276057 | − | 0.961141i | \(-0.410972\pi\) | |||||||
\(972\) | 6.71381 | + | 2.98918i | 0.215346 | + | 0.0958781i | ||||
\(973\) | 5.27982 | − | 6.38221i | 0.169263 | − | 0.204604i | ||||
\(974\) | −35.7744 | − | 14.1641i | −1.14628 | − | 0.453846i | ||||
\(975\) | −0.0171228 | + | 0.00516966i | −0.000548367 | + | 0.000165562i | ||||
\(976\) | 1.59478 | − | 8.36015i | 0.0510478 | − | 0.267602i | ||||
\(977\) | 2.58585 | − | 1.71803i | 0.0827285 | − | 0.0549647i | −0.511344 | − | 0.859376i | \(-0.670852\pi\) |
0.594073 | + | 0.804411i | \(0.297519\pi\) | |||||||
\(978\) | 31.3878 | − | 49.4593i | 1.00367 | − | 1.58153i | ||||
\(979\) | 0.553710 | + | 8.80096i | 0.0176966 | + | 0.281280i | ||||
\(980\) | 4.56247 | + | 2.76313i | 0.145743 | + | 0.0882649i | ||||
\(981\) | 0.182540 | − | 1.73675i | 0.00582806 | − | 0.0554503i | ||||
\(982\) | −1.56209 | + | 14.8623i | −0.0498483 | + | 0.474275i | ||||
\(983\) | −23.3377 | − | 14.1338i | −0.744356 | − | 0.450798i | 0.0942414 | − | 0.995549i | \(-0.469957\pi\) |
−0.838598 | + | 0.544751i | \(0.816624\pi\) | |||||||
\(984\) | 3.29166 | + | 52.3195i | 0.104934 | + | 1.66788i | ||||
\(985\) | 21.4328 | − | 33.7728i | 0.682907 | − | 1.07609i | ||||
\(986\) | −3.90323 | + | 2.59330i | −0.124304 | + | 0.0825875i | ||||
\(987\) | 0.574016 | − | 3.00909i | 0.0182711 | − | 0.0957805i | ||||
\(988\) | −0.663319 | + | 0.200268i | −0.0211030 | + | 0.00637137i | ||||
\(989\) | 85.1243 | + | 33.7031i | 2.70680 | + | 1.07170i | ||||
\(990\) | −3.12141 | + | 3.77314i | −0.0992050 | + | 0.119918i | ||||
\(991\) | −15.1257 | − | 6.73441i | −0.480485 | − | 0.213926i | 0.152178 | − | 0.988353i | \(-0.451371\pi\) |
−0.632663 | + | 0.774427i | \(0.718038\pi\) | |||||||
\(992\) | 7.94610 | + | 12.5210i | 0.252289 | + | 0.397544i | ||||
\(993\) | −14.5642 | + | 10.5815i | −0.462180 | + | 0.335794i | ||||
\(994\) | −1.23208 | − | 5.25299i | −0.0390791 | − | 0.166615i | ||||
\(995\) | −3.28962 | − | 22.2772i | −0.104288 | − | 0.706236i | ||||
\(996\) | 8.05123 | − | 11.5842i | 0.255113 | − | 0.367060i | ||||
\(997\) | −3.83850 | + | 61.0112i | −0.121567 | + | 1.93225i | 0.189545 | + | 0.981872i | \(0.439299\pi\) |
−0.311111 | + | 0.950373i | \(0.600701\pi\) | |||||||
\(998\) | −0.899969 | − | 0.653866i | −0.0284880 | − | 0.0206978i | ||||
\(999\) | 0.115809 | − | 0.275500i | 0.00366405 | − | 0.00871642i |
(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 | 151.2.k.a.37.8 | ✓ | 480 | |
151.49 | even | 75 | inner | 151.2.k.a.49.8 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
151.2.k.a.37.8 | ✓ | 480 | 1.1 | even | 1 | trivial | |
151.2.k.a.49.8 | yes | 480 | 151.49 | even | 75 | inner |