Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [503,2,Mod(2,503)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(503, base_ring=CyclotomicField(502))
chi = DirichletCharacter(H, H._module([202]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("503.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 503.c (of order \(251\), degree \(250\), 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: | \(4.01647522167\) |
Analytic rank: | \(0\) |
Dimension: | \(10250\) |
Relative dimension: | \(41\) over \(\Q(\zeta_{251})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{251}]$ |
Embedding invariants
Embedding label | 2.20 | ||
Character | \(\chi\) | \(=\) | 503.2 |
Dual form | 503.2.c.a.252.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{101}{251}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.102711 | − | 0.126460i | −0.0726280 | − | 0.0894208i | 0.738623 | − | 0.674118i | \(-0.235476\pi\) |
−0.811251 | + | 0.584697i | \(0.801213\pi\) | |||||||
\(3\) | 0.592852 | − | 0.513119i | 0.342283 | − | 0.296249i | −0.466305 | − | 0.884624i | \(-0.654415\pi\) |
0.808588 | + | 0.588375i | \(0.200232\pi\) | |||||||
\(4\) | 0.404666 | − | 1.93152i | 0.202333 | − | 0.965762i | ||||
\(5\) | −0.990176 | − | 3.12716i | −0.442820 | − | 1.39851i | −0.869422 | − | 0.494070i | \(-0.835509\pi\) |
0.426602 | − | 0.904440i | \(-0.359711\pi\) | |||||||
\(6\) | −0.125782 | − | 0.0222689i | −0.0513501 | − | 0.00909124i | ||||
\(7\) | 1.03743 | − | 3.01224i | 0.392112 | − | 1.13852i | −0.558866 | − | 0.829258i | \(-0.688763\pi\) |
0.950978 | − | 0.309260i | \(-0.100081\pi\) | |||||||
\(8\) | −0.575493 | + | 0.296411i | −0.203467 | + | 0.104797i | ||||
\(9\) | −0.342141 | + | 2.36057i | −0.114047 | + | 0.786857i | ||||
\(10\) | −0.293759 | + | 0.446413i | −0.0928947 | + | 0.141168i | ||||
\(11\) | 1.46065 | − | 0.472575i | 0.440404 | − | 0.142487i | −0.0792666 | − | 0.996853i | \(-0.525258\pi\) |
0.519671 | + | 0.854367i | \(0.326055\pi\) | |||||||
\(12\) | −0.751194 | − | 1.35275i | −0.216851 | − | 0.390505i | ||||
\(13\) | −3.42690 | + | 1.15630i | −0.950451 | + | 0.320701i | −0.751816 | − | 0.659373i | \(-0.770822\pi\) |
−0.198634 | + | 0.980074i | \(0.563651\pi\) | |||||||
\(14\) | −0.487483 | + | 0.178198i | −0.130285 | + | 0.0476253i | ||||
\(15\) | −2.19163 | − | 1.34587i | −0.565877 | − | 0.347501i | ||||
\(16\) | −3.51841 | − | 1.54194i | −0.879602 | − | 0.385484i | ||||
\(17\) | 5.57539 | + | 2.78390i | 1.35223 | + | 0.675195i | 0.968677 | − | 0.248323i | \(-0.0798795\pi\) |
0.383553 | + | 0.923519i | \(0.374700\pi\) | |||||||
\(18\) | 0.333660 | − | 0.199190i | 0.0786443 | − | 0.0469496i | ||||
\(19\) | 0.0566778 | + | 0.127158i | 0.0130028 | + | 0.0291720i | 0.919761 | − | 0.392480i | \(-0.128383\pi\) |
−0.906758 | + | 0.421652i | \(0.861450\pi\) | |||||||
\(20\) | −6.44088 | + | 0.647092i | −1.44022 | + | 0.144694i | ||||
\(21\) | −0.930592 | − | 2.31813i | −0.203072 | − | 0.505858i | ||||
\(22\) | −0.209788 | − | 0.136176i | −0.0447269 | − | 0.0290327i | ||||
\(23\) | −1.57844 | + | 5.45597i | −0.329128 | + | 1.13765i | 0.609520 | + | 0.792771i | \(0.291362\pi\) |
−0.938648 | + | 0.344877i | \(0.887921\pi\) | |||||||
\(24\) | −0.189088 | + | 0.471024i | −0.0385974 | + | 0.0961473i | ||||
\(25\) | −4.70993 | + | 3.31504i | −0.941987 | + | 0.663009i | ||||
\(26\) | 0.498208 | + | 0.314600i | 0.0977066 | + | 0.0616982i | ||||
\(27\) | 2.27673 | + | 3.55600i | 0.438158 | + | 0.684352i | ||||
\(28\) | −5.39839 | − | 3.22277i | −1.02020 | − | 0.609046i | ||||
\(29\) | 1.13905 | − | 9.53428i | 0.211515 | − | 1.77047i | −0.344004 | − | 0.938968i | \(-0.611784\pi\) |
0.555520 | − | 0.831503i | \(-0.312519\pi\) | |||||||
\(30\) | 0.0549075 | + | 0.415390i | 0.0100247 | + | 0.0758395i | ||||
\(31\) | 0.368961 | + | 4.52513i | 0.0662673 | + | 0.812738i | 0.943222 | + | 0.332164i | \(0.107779\pi\) |
−0.876954 | + | 0.480574i | \(0.840428\pi\) | |||||||
\(32\) | 0.510598 | + | 1.85140i | 0.0902618 | + | 0.327285i | ||||
\(33\) | 0.623465 | − | 1.02966i | 0.108531 | − | 0.179240i | ||||
\(34\) | −0.220604 | − | 0.991003i | −0.0378333 | − | 0.169956i | ||||
\(35\) | −10.4470 | − | 0.261570i | −1.76586 | − | 0.0442134i | ||||
\(36\) | 4.42104 | + | 1.61609i | 0.736841 | + | 0.269349i | ||||
\(37\) | 0.0478777 | + | 0.0604791i | 0.00787104 | + | 0.00994271i | 0.787976 | − | 0.615706i | \(-0.211129\pi\) |
−0.780105 | + | 0.625649i | \(0.784834\pi\) | |||||||
\(38\) | 0.0102589 | − | 0.0202280i | 0.00166421 | − | 0.00328142i | ||||
\(39\) | −1.43832 | + | 2.44392i | −0.230316 | + | 0.391341i | ||||
\(40\) | 1.49676 | + | 1.50616i | 0.236659 | + | 0.238145i | ||||
\(41\) | 0.653527 | − | 3.32628i | 0.102064 | − | 0.519477i | −0.895207 | − | 0.445650i | \(-0.852973\pi\) |
0.997271 | − | 0.0738275i | \(-0.0235214\pi\) | |||||||
\(42\) | −0.197569 | + | 0.355782i | −0.0304855 | + | 0.0548983i | ||||
\(43\) | 1.20796 | − | 6.58268i | 0.184212 | − | 1.00385i | −0.753763 | − | 0.657146i | \(-0.771763\pi\) |
0.937975 | − | 0.346703i | \(-0.112699\pi\) | |||||||
\(44\) | −0.321713 | − | 3.01252i | −0.0485000 | − | 0.454155i | ||||
\(45\) | 7.72067 | − | 1.26745i | 1.15093 | − | 0.188940i | ||||
\(46\) | 0.852086 | − | 0.360780i | 0.125633 | − | 0.0531941i | ||||
\(47\) | 6.01062 | − | 0.225798i | 0.876739 | − | 0.0329361i | 0.404634 | − | 0.914479i | \(-0.367399\pi\) |
0.472104 | + | 0.881543i | \(0.343495\pi\) | |||||||
\(48\) | −2.87709 | + | 0.891222i | −0.415272 | + | 0.128637i | ||||
\(49\) | −2.48183 | − | 1.93957i | −0.354547 | − | 0.277082i | ||||
\(50\) | 0.902984 | + | 0.255126i | 0.127701 | + | 0.0360802i | ||||
\(51\) | 4.73385 | − | 1.21040i | 0.662872 | − | 0.169489i | ||||
\(52\) | 0.846679 | + | 7.08705i | 0.117413 | + | 0.982797i | ||||
\(53\) | 5.36131 | − | 12.0282i | 0.736433 | − | 1.65220i | −0.0214158 | − | 0.999771i | \(-0.506817\pi\) |
0.757849 | − | 0.652430i | \(-0.226250\pi\) | |||||||
\(54\) | 0.215845 | − | 0.653157i | 0.0293728 | − | 0.0888835i | ||||
\(55\) | −2.92413 | − | 4.09977i | −0.394289 | − | 0.552813i | ||||
\(56\) | 0.295826 | + | 2.04103i | 0.0395314 | + | 0.272744i | ||||
\(57\) | 0.0988485 | + | 0.0463032i | 0.0130928 | + | 0.00613301i | ||||
\(58\) | −1.32270 | + | 0.835236i | −0.173679 | + | 0.109672i | ||||
\(59\) | 3.66770 | − | 8.81558i | 0.477494 | − | 1.14769i | −0.484542 | − | 0.874768i | \(-0.661014\pi\) |
0.962036 | − | 0.272922i | \(-0.0879902\pi\) | |||||||
\(60\) | −3.48645 | + | 3.68857i | −0.450099 | + | 0.476192i | ||||
\(61\) | 2.64808 | + | 4.37333i | 0.339052 | + | 0.559947i | 0.977819 | − | 0.209454i | \(-0.0671685\pi\) |
−0.638766 | + | 0.769401i | \(0.720555\pi\) | |||||||
\(62\) | 0.534352 | − | 0.511442i | 0.0678627 | − | 0.0649531i | ||||
\(63\) | 6.75565 | + | 3.47954i | 0.851132 | + | 0.438380i | ||||
\(64\) | −4.27959 | + | 6.00020i | −0.534948 | + | 0.750025i | ||||
\(65\) | 7.00918 | + | 9.57153i | 0.869382 | + | 1.18720i | ||||
\(66\) | −0.194247 | + | 0.0269141i | −0.0239102 | + | 0.00331290i | ||||
\(67\) | −10.0225 | + | 6.15474i | −1.22444 | + | 0.751922i | −0.976220 | − | 0.216781i | \(-0.930444\pi\) |
−0.248223 | + | 0.968703i | \(0.579847\pi\) | |||||||
\(68\) | 7.63334 | − | 9.64245i | 0.925679 | − | 1.16932i | ||||
\(69\) | 1.86378 | + | 4.04451i | 0.224372 | + | 0.486901i | ||||
\(70\) | 1.03995 | + | 1.34799i | 0.124297 | + | 0.161116i | ||||
\(71\) | −1.17434 | − | 7.44466i | −0.139369 | − | 0.883519i | −0.953183 | − | 0.302394i | \(-0.902214\pi\) |
0.813814 | − | 0.581125i | \(-0.197387\pi\) | |||||||
\(72\) | −0.502799 | − | 1.45991i | −0.0592555 | − | 0.172052i | ||||
\(73\) | −4.75517 | − | 4.55129i | −0.556550 | − | 0.532688i | 0.359819 | − | 0.933022i | \(-0.382838\pi\) |
−0.916369 | + | 0.400334i | \(0.868894\pi\) | |||||||
\(74\) | 0.00273061 | − | 0.0122665i | 0.000317427 | − | 0.00142595i | ||||
\(75\) | −1.09128 | + | 4.38208i | −0.126010 | + | 0.505999i | ||||
\(76\) | 0.268544 | − | 0.0580182i | 0.0308041 | − | 0.00665514i | ||||
\(77\) | 0.0918198 | − | 4.89010i | 0.0104638 | − | 0.557279i | ||||
\(78\) | 0.456791 | − | 0.0691286i | 0.0517214 | − | 0.00782727i | ||||
\(79\) | 0.594301 | + | 10.5404i | 0.0668641 | + | 1.18589i | 0.836705 | + | 0.547654i | \(0.184479\pi\) |
−0.769840 | + | 0.638236i | \(0.779664\pi\) | |||||||
\(80\) | −1.33804 | + | 12.5294i | −0.149597 | + | 1.40083i | ||||
\(81\) | −3.68683 | − | 1.09167i | −0.409648 | − | 0.121297i | ||||
\(82\) | −0.487766 | + | 0.259002i | −0.0538648 | + | 0.0286020i | ||||
\(83\) | −3.66826 | − | 7.01389i | −0.402644 | − | 0.769874i | 0.596828 | − | 0.802369i | \(-0.296428\pi\) |
−0.999472 | + | 0.0324952i | \(0.989655\pi\) | |||||||
\(84\) | −4.85411 | + | 0.859391i | −0.529627 | + | 0.0937673i | ||||
\(85\) | 3.18510 | − | 20.1917i | 0.345473 | − | 2.19010i | ||||
\(86\) | −0.956517 | + | 0.523358i | −0.103144 | + | 0.0564351i | ||||
\(87\) | −4.21693 | − | 6.23688i | −0.452103 | − | 0.668664i | ||||
\(88\) | −0.700520 | + | 0.704918i | −0.0746757 | + | 0.0751445i | ||||
\(89\) | 2.06710 | + | 7.87866i | 0.219113 | + | 0.835136i | 0.982043 | + | 0.188656i | \(0.0604132\pi\) |
−0.762931 | + | 0.646480i | \(0.776240\pi\) | |||||||
\(90\) | −0.953283 | − | 0.846174i | −0.100485 | − | 0.0891946i | ||||
\(91\) | −0.0721087 | + | 11.5222i | −0.00755905 | + | 1.20786i | ||||
\(92\) | 9.89959 | + | 5.25664i | 1.03210 | + | 0.548043i | ||||
\(93\) | 2.54067 | + | 2.49341i | 0.263455 | + | 0.258555i | ||||
\(94\) | −0.645914 | − | 0.736911i | −0.0666209 | − | 0.0760065i | ||||
\(95\) | 0.341522 | − | 0.303149i | 0.0350394 | − | 0.0311025i | ||||
\(96\) | 1.25270 | + | 0.835609i | 0.127853 | + | 0.0852840i | ||||
\(97\) | −1.82367 | − | 7.73461i | −0.185166 | − | 0.785330i | −0.983172 | − | 0.182681i | \(-0.941522\pi\) |
0.798006 | − | 0.602649i | \(-0.205888\pi\) | |||||||
\(98\) | 0.00963371 | + | 0.513068i | 0.000973152 | + | 0.0518277i | ||||
\(99\) | 0.615797 | + | 3.60967i | 0.0618900 | + | 0.362785i | ||||
\(100\) | 4.49713 | + | 10.4388i | 0.449713 | + | 1.04388i | ||||
\(101\) | −9.16715 | + | 3.61361i | −0.912165 | + | 0.359568i | −0.775718 | − | 0.631079i | \(-0.782612\pi\) |
−0.136447 | + | 0.990647i | \(0.543568\pi\) | |||||||
\(102\) | −0.639287 | − | 0.474322i | −0.0632989 | − | 0.0469648i | ||||
\(103\) | −1.06263 | + | 0.215695i | −0.104704 | + | 0.0212531i | −0.250993 | − | 0.967989i | \(-0.580757\pi\) |
0.146289 | + | 0.989242i | \(0.453267\pi\) | |||||||
\(104\) | 1.62941 | − | 1.68122i | 0.159777 | − | 0.164857i | ||||
\(105\) | −6.32773 | + | 5.20547i | −0.617524 | + | 0.508002i | ||||
\(106\) | −2.07176 | + | 0.557442i | −0.201227 | + | 0.0541435i | ||||
\(107\) | 3.70818 | + | 0.139304i | 0.358483 | + | 0.0134670i | 0.216173 | − | 0.976355i | \(-0.430643\pi\) |
0.142310 | + | 0.989822i | \(0.454547\pi\) | |||||||
\(108\) | 7.78981 | − | 2.95857i | 0.749574 | − | 0.284689i | ||||
\(109\) | 11.6019 | + | 12.2745i | 1.11126 | + | 1.17568i | 0.982936 | + | 0.183948i | \(0.0588877\pi\) |
0.128323 | + | 0.991732i | \(0.459041\pi\) | |||||||
\(110\) | −0.218116 | + | 0.790879i | −0.0207966 | + | 0.0754073i | ||||
\(111\) | 0.0594173 | + | 0.0112882i | 0.00563964 | + | 0.00107143i | ||||
\(112\) | −8.29478 | + | 8.99863i | −0.783783 | + | 0.850290i | ||||
\(113\) | 7.87440 | + | 16.0203i | 0.740761 | + | 1.50706i | 0.857826 | + | 0.513940i | \(0.171815\pi\) |
−0.117065 | + | 0.993124i | \(0.537349\pi\) | |||||||
\(114\) | −0.00429737 | − | 0.0172563i | −0.000402486 | − | 0.00161620i | ||||
\(115\) | 18.6246 | − | 0.466321i | 1.73676 | − | 0.0434846i | ||||
\(116\) | −17.9548 | − | 6.05829i | −1.66706 | − | 0.562498i | ||||
\(117\) | −1.55705 | − | 8.48505i | −0.143950 | − | 0.784443i | ||||
\(118\) | −1.49153 | + | 0.441643i | −0.137307 | + | 0.0406565i | ||||
\(119\) | 14.1698 | − | 13.9063i | 1.29895 | − | 1.27479i | ||||
\(120\) | 1.66020 | + | 0.124912i | 0.151555 | + | 0.0114029i | ||||
\(121\) | −7.00516 | + | 5.06280i | −0.636833 | + | 0.460255i | ||||
\(122\) | 0.281063 | − | 0.784067i | 0.0254462 | − | 0.0709861i | ||||
\(123\) | −1.31933 | − | 2.30733i | −0.118960 | − | 0.208045i | ||||
\(124\) | 8.88970 | + | 1.11851i | 0.798319 | + | 0.100445i | ||||
\(125\) | 1.98226 | + | 1.50958i | 0.177299 | + | 0.135021i | ||||
\(126\) | −0.253860 | − | 1.21171i | −0.0226156 | − | 0.107947i | ||||
\(127\) | 16.2338 | − | 9.14818i | 1.44052 | − | 0.811769i | 0.444071 | − | 0.895992i | \(-0.353534\pi\) |
0.996447 | + | 0.0842222i | \(0.0268406\pi\) | |||||||
\(128\) | 5.03187 | − | 0.315314i | 0.444759 | − | 0.0278701i | ||||
\(129\) | −2.66155 | − | 4.52238i | −0.234337 | − | 0.398173i | ||||
\(130\) | 0.490492 | − | 1.86949i | 0.0430190 | − | 0.163965i | ||||
\(131\) | −4.52979 | + | 3.02159i | −0.395770 | + | 0.263997i | −0.736877 | − | 0.676027i | \(-0.763700\pi\) |
0.341107 | + | 0.940025i | \(0.389198\pi\) | |||||||
\(132\) | −1.73651 | − | 1.62090i | −0.151144 | − | 0.141082i | ||||
\(133\) | 0.441828 | − | 0.0388098i | 0.0383114 | − | 0.00336523i | ||||
\(134\) | 1.80775 | + | 0.635283i | 0.156166 | + | 0.0548801i | ||||
\(135\) | 8.86581 | − | 10.6408i | 0.763048 | − | 0.915813i | ||||
\(136\) | −4.03378 | + | 0.0504906i | −0.345893 | + | 0.00432953i | ||||
\(137\) | 5.97351 | + | 15.4363i | 0.510351 | + | 1.31881i | 0.914674 | + | 0.404193i | \(0.132448\pi\) |
−0.404323 | + | 0.914616i | \(0.632493\pi\) | |||||||
\(138\) | 0.320037 | − | 0.651110i | 0.0272434 | − | 0.0554262i | ||||
\(139\) | −5.57194 | − | 1.20380i | −0.472606 | − | 0.102105i | −0.0313918 | − | 0.999507i | \(-0.509994\pi\) |
−0.441214 | + | 0.897402i | \(0.645452\pi\) | |||||||
\(140\) | −4.73277 | + | 20.0728i | −0.399992 | + | 1.69646i | ||||
\(141\) | 3.44754 | − | 3.21802i | 0.290336 | − | 0.271007i | ||||
\(142\) | −0.820834 | + | 0.913159i | −0.0688828 | + | 0.0766306i | ||||
\(143\) | −4.45908 | + | 3.30843i | −0.372887 | + | 0.276665i | ||||
\(144\) | 4.84364 | − | 7.77789i | 0.403636 | − | 0.648158i | ||||
\(145\) | −30.9431 | + | 5.87863i | −2.56969 | + | 0.488194i | ||||
\(146\) | −0.0871463 | + | 1.06881i | −0.00721228 | + | 0.0884552i | ||||
\(147\) | −2.46659 | + | 0.123593i | −0.203441 | + | 0.0101938i | ||||
\(148\) | 0.136191 | − | 0.0680030i | 0.0111949 | − | 0.00558981i | ||||
\(149\) | 1.29282 | − | 2.01924i | 0.105912 | − | 0.165422i | −0.785148 | − | 0.619309i | \(-0.787413\pi\) |
0.891060 | + | 0.453886i | \(0.149963\pi\) | |||||||
\(150\) | 0.666246 | − | 0.312087i | 0.0543987 | − | 0.0254818i | ||||
\(151\) | 1.72791 | + | 2.62583i | 0.140615 | + | 0.213687i | 0.898807 | − | 0.438344i | \(-0.144435\pi\) |
−0.758192 | + | 0.652031i | \(0.773917\pi\) | |||||||
\(152\) | −0.0703086 | − | 0.0563784i | −0.00570278 | − | 0.00457289i | ||||
\(153\) | −8.47916 | + | 12.2086i | −0.685500 | + | 0.987008i | ||||
\(154\) | −0.627833 | + | 0.490658i | −0.0505923 | + | 0.0395383i | ||||
\(155\) | 13.7855 | − | 5.63448i | 1.10728 | − | 0.452572i | ||||
\(156\) | 4.13845 | + | 3.76712i | 0.331342 | + | 0.301611i | ||||
\(157\) | 2.55172 | − | 5.35986i | 0.203649 | − | 0.427763i | −0.775376 | − | 0.631499i | \(-0.782440\pi\) |
0.979026 | + | 0.203736i | \(0.0653084\pi\) | |||||||
\(158\) | 1.27190 | − | 1.15778i | 0.101187 | − | 0.0921079i | ||||
\(159\) | −2.99343 | − | 9.88193i | −0.237394 | − | 0.783688i | ||||
\(160\) | 5.28405 | − | 3.42994i | 0.417741 | − | 0.271160i | ||||
\(161\) | 14.7971 | + | 10.4148i | 1.16618 | + | 0.820803i | ||||
\(162\) | 0.240627 | + | 0.578364i | 0.0189055 | + | 0.0454406i | ||||
\(163\) | 14.1033 | + | 5.35646i | 1.10466 | + | 0.419550i | 0.838788 | − | 0.544459i | \(-0.183265\pi\) |
0.265871 | + | 0.964009i | \(0.414341\pi\) | |||||||
\(164\) | −6.16033 | − | 2.60833i | −0.481041 | − | 0.203677i | ||||
\(165\) | −3.83724 | − | 0.930135i | −0.298729 | − | 0.0724109i | ||||
\(166\) | −0.510204 | + | 1.18429i | −0.0395995 | + | 0.0919191i | ||||
\(167\) | 0.371488 | − | 11.8683i | 0.0287466 | − | 0.918393i | −0.873410 | − | 0.486985i | \(-0.838097\pi\) |
0.902157 | − | 0.431408i | \(-0.141983\pi\) | |||||||
\(168\) | 1.22267 | + | 1.05823i | 0.0943310 | + | 0.0816444i | ||||
\(169\) | 0.0641825 | − | 0.0488777i | 0.00493711 | − | 0.00375983i | ||||
\(170\) | −2.88059 | + | 1.67113i | −0.220931 | + | 0.128170i | ||||
\(171\) | −0.319556 | + | 0.0902862i | −0.0244371 | + | 0.00690435i | ||||
\(172\) | −12.2258 | − | 4.99698i | −0.932207 | − | 0.381016i | ||||
\(173\) | 7.45246 | + | 15.6538i | 0.566600 | + | 1.19014i | 0.962359 | + | 0.271782i | \(0.0876130\pi\) |
−0.395759 | + | 0.918354i | \(0.629518\pi\) | |||||||
\(174\) | −0.355589 | + | 1.17387i | −0.0269571 | + | 0.0889910i | ||||
\(175\) | 5.09946 | + | 17.6266i | 0.385483 | + | 1.33244i | ||||
\(176\) | −5.86786 | − | 0.589523i | −0.442307 | − | 0.0444370i | ||||
\(177\) | −2.34903 | − | 7.10830i | −0.176564 | − | 0.534292i | ||||
\(178\) | 0.784021 | − | 1.07063i | 0.0587648 | − | 0.0802475i | ||||
\(179\) | −6.91715 | + | 12.8322i | −0.517012 | + | 0.959124i | 0.479648 | + | 0.877461i | \(0.340764\pi\) |
−0.996660 | + | 0.0816635i | \(0.973977\pi\) | |||||||
\(180\) | 0.676180 | − | 15.4255i | 0.0503995 | − | 1.14975i | ||||
\(181\) | 0.374042 | + | 5.42494i | 0.0278023 | + | 0.403233i | 0.990947 | + | 0.134250i | \(0.0428626\pi\) |
−0.963145 | + | 0.268982i | \(0.913313\pi\) | |||||||
\(182\) | 1.46451 | − | 1.17434i | 0.108556 | − | 0.0870482i | ||||
\(183\) | 3.81396 | + | 1.23395i | 0.281936 | + | 0.0912165i | ||||
\(184\) | −0.708826 | − | 3.60774i | −0.0522553 | − | 0.265966i | ||||
\(185\) | 0.141721 | − | 0.209606i | 0.0104195 | − | 0.0154106i | ||||
\(186\) | 0.0543612 | − | 0.577395i | 0.00398595 | − | 0.0423366i | ||||
\(187\) | 9.45932 | + | 1.43153i | 0.691734 | + | 0.104684i | ||||
\(188\) | 1.99616 | − | 11.7010i | 0.145585 | − | 0.853385i | ||||
\(189\) | 13.0735 | − | 3.16896i | 0.950954 | − | 0.230508i | ||||
\(190\) | −0.0734145 | − | 0.0120520i | −0.00532604 | − | 0.000874341i | ||||
\(191\) | 0.973089 | − | 17.2585i | 0.0704102 | − | 1.24878i | −0.743875 | − | 0.668319i | \(-0.767014\pi\) |
0.814285 | − | 0.580465i | \(-0.197129\pi\) | |||||||
\(192\) | 0.541655 | + | 5.75316i | 0.0390906 | + | 0.415199i | ||||
\(193\) | −2.07017 | − | 1.13269i | −0.149014 | − | 0.0815331i | 0.403756 | − | 0.914867i | \(-0.367704\pi\) |
−0.552771 | + | 0.833333i | \(0.686429\pi\) | |||||||
\(194\) | −0.790807 | + | 1.02505i | −0.0567766 | + | 0.0735946i | ||||
\(195\) | 9.06674 | + | 2.07795i | 0.649282 | + | 0.148805i | ||||
\(196\) | −4.75064 | + | 4.00883i | −0.339331 | + | 0.286345i | ||||
\(197\) | 16.6859 | − | 1.25544i | 1.18882 | − | 0.0894463i | 0.534171 | − | 0.845376i | \(-0.320624\pi\) |
0.654652 | + | 0.755930i | \(0.272815\pi\) | |||||||
\(198\) | 0.393229 | − | 0.448628i | 0.0279456 | − | 0.0318826i | ||||
\(199\) | −0.0609903 | − | 9.74561i | −0.00432349 | − | 0.690848i | −0.940588 | − | 0.339551i | \(-0.889725\pi\) |
0.936264 | − | 0.351297i | \(-0.114259\pi\) | |||||||
\(200\) | 1.72792 | − | 3.30386i | 0.122182 | − | 0.233618i | ||||
\(201\) | −2.78374 | + | 8.79158i | −0.196350 | + | 0.620110i | ||||
\(202\) | 1.39855 | + | 0.788119i | 0.0984016 | + | 0.0554518i | ||||
\(203\) | −27.5378 | − | 13.3222i | −1.93278 | − | 0.935037i | ||||
\(204\) | −0.422279 | − | 9.63335i | −0.0295654 | − | 0.674469i | ||||
\(205\) | −11.0489 | + | 1.24992i | −0.771690 | + | 0.0872980i | ||||
\(206\) | 0.136421 | + | 0.112226i | 0.00950493 | + | 0.00781918i | ||||
\(207\) | −12.3391 | − | 5.59273i | −0.857630 | − | 0.388722i | ||||
\(208\) | 13.8402 | + | 1.21571i | 0.959644 | + | 0.0842942i | ||||
\(209\) | 0.142878 | + | 0.158949i | 0.00988310 | + | 0.0109947i | ||||
\(210\) | 1.30822 | + | 0.265544i | 0.0902754 | + | 0.0183243i | ||||
\(211\) | −18.0351 | + | 12.3592i | −1.24159 | + | 0.850843i | −0.993040 | − | 0.117777i | \(-0.962423\pi\) |
−0.248547 | + | 0.968620i | \(0.579953\pi\) | |||||||
\(212\) | −21.0632 | − | 15.2229i | −1.44663 | − | 1.04551i | ||||
\(213\) | −4.51621 | − | 3.81100i | −0.309445 | − | 0.261126i | ||||
\(214\) | −0.363256 | − | 0.483245i | −0.0248317 | − | 0.0330339i | ||||
\(215\) | −21.7812 | + | 2.74053i | −1.48547 | + | 0.186902i | ||||
\(216\) | −2.36428 | − | 1.37160i | −0.160869 | − | 0.0933257i | ||||
\(217\) | 14.0135 | + | 3.58311i | 0.951301 | + | 0.243237i | ||||
\(218\) | 0.360583 | − | 2.72790i | 0.0244217 | − | 0.184757i | ||||
\(219\) | −5.15446 | − | 0.258275i | −0.348306 | − | 0.0174526i | ||||
\(220\) | −9.10210 | + | 3.98898i | −0.613664 | + | 0.268937i | ||||
\(221\) | −22.3253 | − | 3.09331i | −1.50176 | − | 0.208078i | ||||
\(222\) | −0.00467533 | − | 0.00867335i | −0.000313788 | − | 0.000582117i | ||||
\(223\) | 3.04026 | − | 1.47081i | 0.203591 | − | 0.0984931i | −0.330905 | − | 0.943664i | \(-0.607354\pi\) |
0.534496 | + | 0.845171i | \(0.320501\pi\) | |||||||
\(224\) | 6.10657 | + | 0.382658i | 0.408012 | + | 0.0255674i | ||||
\(225\) | −6.21393 | − | 12.2523i | −0.414262 | − | 0.816823i | ||||
\(226\) | 1.21714 | − | 2.64127i | 0.0809629 | − | 0.175694i | ||||
\(227\) | 9.14681 | − | 2.09630i | 0.607095 | − | 0.139137i | 0.0912636 | − | 0.995827i | \(-0.470909\pi\) |
0.515831 | + | 0.856690i | \(0.327483\pi\) | |||||||
\(228\) | 0.129436 | − | 0.172191i | 0.00857213 | − | 0.0114036i | ||||
\(229\) | 11.8299 | − | 20.6888i | 0.781740 | − | 1.36716i | −0.144224 | − | 0.989545i | \(-0.546069\pi\) |
0.925965 | − | 0.377610i | \(-0.123254\pi\) | |||||||
\(230\) | −1.97193 | − | 2.30738i | −0.130025 | − | 0.152144i | ||||
\(231\) | −2.45477 | − | 2.94622i | −0.161512 | − | 0.193847i | ||||
\(232\) | 2.17055 | + | 5.82454i | 0.142504 | + | 0.382399i | ||||
\(233\) | 14.6226 | + | 0.183031i | 0.957962 | + | 0.0119908i | 0.489967 | − | 0.871741i | \(-0.337009\pi\) |
0.467994 | + | 0.883732i | \(0.344977\pi\) | |||||||
\(234\) | −0.913093 | + | 1.06842i | −0.0596908 | + | 0.0698446i | ||||
\(235\) | −6.65768 | − | 18.5726i | −0.434299 | − | 1.21154i | ||||
\(236\) | −15.5433 | − | 10.6516i | −1.01178 | − | 0.693361i | ||||
\(237\) | 5.76082 | + | 5.94396i | 0.374206 | + | 0.386102i | ||||
\(238\) | −3.21399 | − | 0.363585i | −0.208332 | − | 0.0235677i | ||||
\(239\) | −0.594781 | + | 8.62644i | −0.0384732 | + | 0.557998i | 0.938588 | + | 0.345040i | \(0.112135\pi\) |
−0.977061 | + | 0.212958i | \(0.931690\pi\) | |||||||
\(240\) | 5.63582 | + | 8.11467i | 0.363791 | + | 0.523799i | ||||
\(241\) | −21.1757 | − | 6.55948i | −1.36404 | − | 0.422534i | −0.474852 | − | 0.880066i | \(-0.657498\pi\) |
−0.889193 | + | 0.457532i | \(0.848733\pi\) | |||||||
\(242\) | 1.35975 | + | 0.365865i | 0.0874082 | + | 0.0235187i | ||||
\(243\) | −14.2833 | + | 6.47392i | −0.916274 | + | 0.415302i | ||||
\(244\) | 9.51877 | − | 3.34510i | 0.609377 | − | 0.214148i | ||||
\(245\) | −3.60791 | + | 9.68160i | −0.230501 | + | 0.618535i | ||||
\(246\) | −0.156274 | + | 0.403832i | −0.00996368 | + | 0.0257474i | ||||
\(247\) | −0.341262 | − | 0.370220i | −0.0217140 | − | 0.0235565i | ||||
\(248\) | −1.55363 | − | 2.49482i | −0.0986558 | − | 0.158421i | ||||
\(249\) | −5.77369 | − | 2.27594i | −0.365893 | − | 0.144232i | ||||
\(250\) | −0.0126997 | − | 0.405728i | −0.000803198 | − | 0.0256605i | ||||
\(251\) | 6.73637 | − | 8.29393i | 0.425196 | − | 0.523508i | −0.518163 | − | 0.855282i | \(-0.673384\pi\) |
0.943359 | + | 0.331774i | \(0.107647\pi\) | |||||||
\(252\) | 9.45458 | − | 11.6406i | 0.595583 | − | 0.733291i | ||||
\(253\) | 0.272795 | + | 8.71522i | 0.0171505 | + | 0.547921i | ||||
\(254\) | −2.82428 | − | 1.11331i | −0.177211 | − | 0.0698551i | ||||
\(255\) | −8.47245 | − | 13.6050i | −0.530565 | − | 0.851980i | ||||
\(256\) | 9.43360 | + | 10.2341i | 0.589600 | + | 0.639630i | ||||
\(257\) | −5.83718 | + | 15.0840i | −0.364114 | + | 0.940914i | 0.623190 | + | 0.782070i | \(0.285836\pi\) |
−0.987304 | + | 0.158843i | \(0.949224\pi\) | |||||||
\(258\) | −0.298528 | + | 0.801080i | −0.0185855 | + | 0.0498731i | ||||
\(259\) | 0.231847 | − | 0.0814760i | 0.0144063 | − | 0.00506267i | ||||
\(260\) | 21.3240 | − | 9.66513i | 1.32246 | − | 0.599406i | ||||
\(261\) | 22.1166 | + | 5.95086i | 1.36898 | + | 0.368349i | ||||
\(262\) | 0.847372 | + | 0.262486i | 0.0523508 | + | 0.0162164i | ||||
\(263\) | 11.1167 | + | 16.0062i | 0.685484 | + | 0.986985i | 0.999297 | + | 0.0375002i | \(0.0119395\pi\) |
−0.313812 | + | 0.949485i | \(0.601606\pi\) | |||||||
\(264\) | −0.0535980 | + | 0.777362i | −0.00329873 | + | 0.0478433i | ||||
\(265\) | −42.9228 | − | 4.85567i | −2.63673 | − | 0.298281i | ||||
\(266\) | −0.0502887 | − | 0.0518874i | −0.00308340 | − | 0.00318142i | ||||
\(267\) | 5.26817 | + | 3.61021i | 0.322407 | + | 0.220941i | ||||
\(268\) | 7.83227 | + | 21.8493i | 0.478432 | + | 1.33466i | ||||
\(269\) | −0.849725 | + | 0.994270i | −0.0518086 | + | 0.0606217i | −0.785503 | − | 0.618858i | \(-0.787595\pi\) |
0.733694 | + | 0.679480i | \(0.237795\pi\) | |||||||
\(270\) | −2.25625 | − | 0.0282414i | −0.137311 | − | 0.00171872i | ||||
\(271\) | −5.49163 | − | 14.7364i | −0.333593 | − | 0.895175i | −0.990038 | − | 0.140801i | \(-0.955032\pi\) |
0.656445 | − | 0.754374i | \(-0.272059\pi\) | |||||||
\(272\) | −15.3239 | − | 18.3918i | −0.929148 | − | 1.11517i | ||||
\(273\) | 5.86951 | + | 6.86796i | 0.355239 | + | 0.415668i | ||||
\(274\) | 1.33852 | − | 2.34089i | 0.0808632 | − | 0.141418i | ||||
\(275\) | −5.31298 | + | 7.06793i | −0.320385 | + | 0.426212i | ||||
\(276\) | 8.56627 | − | 1.96325i | 0.515629 | − | 0.118174i | ||||
\(277\) | −6.84723 | + | 14.8589i | −0.411410 | + | 0.892785i | 0.585229 | + | 0.810868i | \(0.301005\pi\) |
−0.996639 | + | 0.0819170i | \(0.973896\pi\) | |||||||
\(278\) | 0.420069 | + | 0.828273i | 0.0251941 | + | 0.0496765i | ||||
\(279\) | −10.8081 | − | 0.677273i | −0.647066 | − | 0.0405473i | ||||
\(280\) | 6.08970 | − | 2.94607i | 0.363929 | − | 0.176061i | ||||
\(281\) | 10.0237 | + | 18.5954i | 0.597967 | + | 1.10931i | 0.982512 | + | 0.186200i | \(0.0596172\pi\) |
−0.384545 | + | 0.923106i | \(0.625642\pi\) | |||||||
\(282\) | −0.761054 | − | 0.105449i | −0.0453201 | − | 0.00627937i | ||||
\(283\) | −26.9004 | + | 11.7891i | −1.59907 | + | 0.700787i | −0.995342 | − | 0.0964064i | \(-0.969265\pi\) |
−0.603724 | + | 0.797194i | \(0.706317\pi\) | |||||||
\(284\) | −14.8548 | − | 0.744328i | −0.881467 | − | 0.0441678i | ||||
\(285\) | 0.0469202 | − | 0.354964i | 0.00277931 | − | 0.0210262i | ||||
\(286\) | 0.876382 | + | 0.224082i | 0.0518216 | + | 0.0132502i | ||||
\(287\) | −9.34155 | − | 5.41936i | −0.551414 | − | 0.319895i | ||||
\(288\) | −4.54506 | + | 0.571863i | −0.267820 | + | 0.0336973i | ||||
\(289\) | 13.1201 | + | 17.4538i | 0.771768 | + | 1.02669i | ||||
\(290\) | 3.92162 | + | 3.30926i | 0.230286 | + | 0.194327i | ||||
\(291\) | −5.04994 | − | 3.64971i | −0.296033 | − | 0.213950i | ||||
\(292\) | −10.7152 | + | 7.34297i | −0.627058 | + | 0.429715i | ||||
\(293\) | 17.4494 | + | 3.54190i | 1.01940 | + | 0.206920i | 0.679605 | − | 0.733578i | \(-0.262151\pi\) |
0.339798 | + | 0.940498i | \(0.389641\pi\) | |||||||
\(294\) | 0.268976 | + | 0.299230i | 0.0156870 | + | 0.0174515i | ||||
\(295\) | −31.1994 | − | 2.74053i | −1.81650 | − | 0.159560i | ||||
\(296\) | −0.0454799 | − | 0.0206138i | −0.00264347 | − | 0.00119816i | ||||
\(297\) | 5.00600 | + | 4.11816i | 0.290477 | + | 0.238960i | ||||
\(298\) | −0.388140 | + | 0.0439086i | −0.0224843 | + | 0.00254356i | ||||
\(299\) | −0.899593 | − | 20.5222i | −0.0520248 | − | 1.18683i | ||||
\(300\) | 8.02249 | + | 3.88112i | 0.463179 | + | 0.224076i | ||||
\(301\) | −18.5754 | − | 10.4677i | −1.07067 | − | 0.603350i | ||||
\(302\) | 0.154587 | − | 0.488214i | 0.00889546 | − | 0.0280935i | ||||
\(303\) | −3.58055 | + | 6.84617i | −0.205697 | + | 0.393302i | ||||
\(304\) | −0.00334682 | − | 0.534786i | −0.000191953 | − | 0.0306721i | ||||
\(305\) | 11.0540 | − | 12.6114i | 0.632953 | − | 0.722124i | ||||
\(306\) | 2.41481 | − | 0.181689i | 0.138045 | − | 0.0103864i | ||||
\(307\) | 10.3235 | − | 8.71147i | 0.589192 | − | 0.497190i | −0.300481 | − | 0.953788i | \(-0.597147\pi\) |
0.889673 | + | 0.456598i | \(0.150932\pi\) | |||||||
\(308\) | −9.40819 | − | 2.15621i | −0.536081 | − | 0.122861i | ||||
\(309\) | −0.519307 | + | 0.673132i | −0.0295423 | + | 0.0382932i | ||||
\(310\) | −2.12846 | − | 1.16459i | −0.120889 | − | 0.0661442i | ||||
\(311\) | −1.98407 | − | 21.0737i | −0.112506 | − | 1.19498i | −0.852632 | − | 0.522513i | \(-0.824995\pi\) |
0.740125 | − | 0.672469i | \(-0.234766\pi\) | |||||||
\(312\) | 0.103338 | − | 1.83279i | 0.00585039 | − | 0.103762i | ||||
\(313\) | 12.8560 | + | 2.11048i | 0.726662 | + | 0.119291i | 0.513946 | − | 0.857823i | \(-0.328183\pi\) |
0.212716 | + | 0.977114i | \(0.431769\pi\) | |||||||
\(314\) | −0.939899 | + | 0.227828i | −0.0530416 | + | 0.0128571i | ||||
\(315\) | 4.19180 | − | 24.5714i | 0.236181 | − | 1.38444i | ||||
\(316\) | 20.5996 | + | 3.11744i | 1.15882 | + | 0.175370i | ||||
\(317\) | 0.982746 | − | 10.4382i | 0.0551965 | − | 0.586268i | −0.923867 | − | 0.382713i | \(-0.874990\pi\) |
0.979064 | − | 0.203554i | \(-0.0652493\pi\) | |||||||
\(318\) | −0.942210 | + | 1.39354i | −0.0528365 | + | 0.0781457i | ||||
\(319\) | −2.84191 | − | 14.4646i | −0.159116 | − | 0.809861i | ||||
\(320\) | 23.0011 | + | 7.44171i | 1.28580 | + | 0.416004i | ||||
\(321\) | 2.26988 | − | 1.82015i | 0.126692 | − | 0.101591i | ||||
\(322\) | −0.202776 | − | 2.94097i | −0.0113002 | − | 0.163894i | ||||
\(323\) | −0.0379936 | + | 0.866739i | −0.00211402 | + | 0.0482266i | ||||
\(324\) | −3.60052 | + | 6.67944i | −0.200029 | + | 0.371080i | ||||
\(325\) | 12.3073 | − | 16.8064i | 0.682684 | − | 0.932253i | ||||
\(326\) | −0.771196 | − | 2.33368i | −0.0427126 | − | 0.129250i | ||||
\(327\) | 13.1765 | + | 1.32379i | 0.728659 | + | 0.0732058i | ||||
\(328\) | 0.609846 | + | 2.10796i | 0.0336731 | + | 0.116393i | ||||
\(329\) | 5.55544 | − | 18.3396i | 0.306281 | − | 1.01110i | ||||
\(330\) | 0.276504 | + | 0.580793i | 0.0152210 | + | 0.0319716i | ||||
\(331\) | −1.49639 | − | 0.611612i | −0.0822490 | − | 0.0336173i | 0.336845 | − | 0.941560i | \(-0.390640\pi\) |
−0.419094 | + | 0.907943i | \(0.637652\pi\) | |||||||
\(332\) | −15.0319 | + | 4.24705i | −0.824983 | + | 0.233087i | ||||
\(333\) | −0.159146 | + | 0.0923262i | −0.00872115 | + | 0.00505945i | ||||
\(334\) | −1.53902 | + | 1.17203i | −0.0842112 | + | 0.0641305i | ||||
\(335\) | 29.1709 | + | 25.2477i | 1.59378 | + | 1.37943i | ||||
\(336\) | −0.300209 | + | 9.59106i | −0.0163778 | + | 0.523235i | ||||
\(337\) | −3.26084 | + | 7.56912i | −0.177629 | + | 0.412316i | −0.983776 | − | 0.179399i | \(-0.942585\pi\) |
0.806147 | + | 0.591715i | \(0.201549\pi\) | |||||||
\(338\) | −0.0127734 | − | 0.00309622i | −0.000694779 | − | 0.000168412i | ||||
\(339\) | 12.8887 | + | 5.45717i | 0.700017 | + | 0.296393i | ||||
\(340\) | −37.7119 | − | 14.3230i | −2.04521 | − | 0.776773i | ||||
\(341\) | 2.67739 | + | 6.43529i | 0.144989 | + | 0.348491i | ||||
\(342\) | 0.0442397 | + | 0.0311377i | 0.00239221 | + | 0.00168373i | ||||
\(343\) | 10.2887 | − | 6.67850i | 0.555537 | − | 0.360605i | ||||
\(344\) | 1.25601 | + | 4.14634i | 0.0677193 | + | 0.223555i | ||||
\(345\) | 10.8024 | − | 9.83311i | 0.581580 | − | 0.529397i | ||||
\(346\) | 1.21413 | − | 2.55026i | 0.0652719 | − | 0.137103i | ||||
\(347\) | 8.79124 | + | 8.00243i | 0.471938 | + | 0.429593i | 0.873931 | − | 0.486050i | \(-0.161563\pi\) |
−0.401993 | + | 0.915643i | \(0.631682\pi\) | |||||||
\(348\) | −13.7531 | + | 5.62125i | −0.737245 | + | 0.301331i | ||||
\(349\) | −3.78358 | + | 2.95690i | −0.202530 | + | 0.158279i | −0.711930 | − | 0.702251i | \(-0.752178\pi\) |
0.509399 | + | 0.860530i | \(0.329868\pi\) | |||||||
\(350\) | 1.70528 | − | 2.45533i | 0.0911511 | − | 0.131243i | ||||
\(351\) | −11.9139 | − | 9.55344i | −0.635919 | − | 0.509925i | ||||
\(352\) | 1.62073 | + | 2.46296i | 0.0863854 | + | 0.131276i | ||||
\(353\) | 24.0888 | − | 11.2838i | 1.28212 | − | 0.600576i | 0.341447 | − | 0.939901i | \(-0.389083\pi\) |
0.940669 | + | 0.339325i | \(0.110199\pi\) | |||||||
\(354\) | −0.657643 | + | 1.02716i | −0.0349533 | + | 0.0545931i | ||||
\(355\) | −22.1179 | + | 11.0439i | −1.17389 | + | 0.586149i | ||||
\(356\) | 16.0543 | − | 0.804435i | 0.850877 | − | 0.0426350i | ||||
\(357\) | 1.26504 | − | 15.5152i | 0.0669533 | − | 0.821150i | ||||
\(358\) | 2.33323 | − | 0.443272i | 0.123315 | − | 0.0234277i | ||||
\(359\) | 2.21904 | − | 3.56333i | 0.117117 | − | 0.188065i | −0.785075 | − | 0.619401i | \(-0.787376\pi\) |
0.902192 | + | 0.431335i | \(0.141957\pi\) | |||||||
\(360\) | −4.06750 | + | 3.01790i | −0.214376 | + | 0.159057i | ||||
\(361\) | 12.6887 | − | 14.1159i | 0.667828 | − | 0.742944i | ||||
\(362\) | 0.647620 | − | 0.604505i | 0.0340381 | − | 0.0317721i | ||||
\(363\) | −1.55520 | + | 6.59597i | −0.0816269 | + | 0.346199i | ||||
\(364\) | 22.2262 | + | 4.80193i | 1.16497 | + | 0.251689i | ||||
\(365\) | −9.52418 | + | 19.3768i | −0.498518 | + | 1.01423i | ||||
\(366\) | −0.235691 | − | 0.609054i | −0.0123198 | − | 0.0318358i | ||||
\(367\) | −35.8226 | + | 0.448390i | −1.86992 | + | 0.0234058i | −0.939400 | − | 0.342823i | \(-0.888617\pi\) |
−0.930525 | + | 0.366229i | \(0.880649\pi\) | |||||||
\(368\) | 13.9664 | − | 16.7625i | 0.728046 | − | 0.873804i | ||||
\(369\) | 7.62832 | + | 2.68075i | 0.397114 | + | 0.139554i | ||||
\(370\) | −0.0410632 | + | 0.00360695i | −0.00213477 | + | 0.000187516i | ||||
\(371\) | −30.6698 | − | 28.6280i | −1.59230 | − | 1.48629i | ||||
\(372\) | 5.84420 | − | 3.89836i | 0.303008 | − | 0.202121i | ||||
\(373\) | −7.03400 | + | 26.8097i | −0.364207 | + | 1.38816i | 0.491582 | + | 0.870831i | \(0.336419\pi\) |
−0.855789 | + | 0.517325i | \(0.826928\pi\) | |||||||
\(374\) | −0.790549 | − | 1.34326i | −0.0408783 | − | 0.0694584i | ||||
\(375\) | 1.94978 | − | 0.122180i | 0.100686 | − | 0.00630933i | ||||
\(376\) | −3.39214 | + | 1.91156i | −0.174936 | + | 0.0985811i | ||||
\(377\) | 7.12113 | + | 33.9901i | 0.366757 | + | 1.75058i | ||||
\(378\) | −1.74354 | − | 1.32778i | −0.0896780 | − | 0.0682937i | ||||
\(379\) | 2.28120 | + | 0.287022i | 0.117177 | + | 0.0147433i | 0.183207 | − | 0.983074i | \(-0.441352\pi\) |
−0.0660301 | + | 0.997818i | \(0.521033\pi\) | |||||||
\(380\) | −0.447338 | − | 0.782331i | −0.0229479 | − | 0.0401328i | ||||
\(381\) | 4.93014 | − | 13.7534i | 0.252579 | − | 0.704607i | ||||
\(382\) | −2.28246 | + | 1.64959i | −0.116781 | + | 0.0844005i | ||||
\(383\) | −14.0269 | − | 1.05537i | −0.716739 | − | 0.0539269i | −0.288355 | − | 0.957524i | \(-0.593108\pi\) |
−0.428384 | + | 0.903597i | \(0.640917\pi\) | |||||||
\(384\) | 2.82136 | − | 2.76888i | 0.143977 | − | 0.141299i | ||||
\(385\) | −15.3831 | + | 4.55493i | −0.783993 | + | 0.232141i | ||||
\(386\) | 0.0693898 | + | 0.378135i | 0.00353185 | + | 0.0192465i | ||||
\(387\) | 15.1256 | + | 5.10367i | 0.768876 | + | 0.259434i | ||||
\(388\) | −15.6775 | + | 0.392532i | −0.795907 | + | 0.0199278i | ||||
\(389\) | 0.0451726 | + | 0.181392i | 0.00229034 | + | 0.00919696i | 0.971497 | − | 0.237051i | \(-0.0761808\pi\) |
−0.969207 | + | 0.246248i | \(0.920802\pi\) | |||||||
\(390\) | −0.668480 | − | 1.36001i | −0.0338498 | − | 0.0688668i | ||||
\(391\) | −23.9893 | + | 26.0249i | −1.21319 | + | 1.31614i | ||||
\(392\) | 2.00318 | + | 0.380569i | 0.101176 | + | 0.0192216i | ||||
\(393\) | −1.13506 | + | 4.11567i | −0.0572563 | + | 0.207608i | ||||
\(394\) | −1.87260 | − | 1.98116i | −0.0943402 | − | 0.0998092i | ||||
\(395\) | 32.3732 | − | 12.2954i | 1.62887 | − | 0.618647i | ||||
\(396\) | 7.22135 | + | 0.271281i | 0.362886 | + | 0.0136324i | ||||
\(397\) | 27.2475 | − | 7.33142i | 1.36751 | − | 0.367954i | 0.500284 | − | 0.865861i | \(-0.333229\pi\) |
0.867230 | + | 0.497908i | \(0.165898\pi\) | |||||||
\(398\) | −1.22617 | + | 1.00870i | −0.0614621 | + | 0.0505615i | ||||
\(399\) | 0.242025 | − | 0.249719i | 0.0121164 | − | 0.0125016i | ||||
\(400\) | 21.6831 | − | 4.40126i | 1.08415 | − | 0.220063i | ||||
\(401\) | −8.28895 | − | 6.15002i | −0.413931 | − | 0.307117i | 0.368764 | − | 0.929523i | \(-0.379781\pi\) |
−0.782695 | + | 0.622406i | \(0.786155\pi\) | |||||||
\(402\) | 1.39771 | − | 0.550964i | 0.0697112 | − | 0.0274796i | ||||
\(403\) | −6.49682 | − | 15.0805i | −0.323630 | − | 0.751215i | ||||
\(404\) | 3.27015 | + | 19.1689i | 0.162696 | + | 0.953687i | ||||
\(405\) | 0.236779 | + | 12.6103i | 0.0117656 | + | 0.626610i | ||||
\(406\) | 1.14372 | + | 4.85078i | 0.0567619 | + | 0.240740i | ||||
\(407\) | 0.0985137 | + | 0.0657133i | 0.00488314 | + | 0.00325729i | ||||
\(408\) | −2.36552 | + | 2.09974i | −0.117111 | + | 0.103953i | ||||
\(409\) | 14.8206 | + | 16.9086i | 0.732834 | + | 0.836077i | 0.991529 | − | 0.129882i | \(-0.0414599\pi\) |
−0.258695 | + | 0.965959i | \(0.583293\pi\) | |||||||
\(410\) | 1.29292 | + | 1.26887i | 0.0638525 | + | 0.0626649i | ||||
\(411\) | 11.4620 | + | 6.08630i | 0.565381 | + | 0.300215i | ||||
\(412\) | −0.0133913 | + | 2.13979i | −0.000659741 | + | 0.105420i | ||||
\(413\) | −22.7496 | − | 20.1935i | −1.11944 | − | 0.993658i | ||||
\(414\) | 0.560114 | + | 2.13485i | 0.0275281 | + | 0.104922i | ||||
\(415\) | −18.3013 | + | 18.4162i | −0.898378 | + | 0.904017i | ||||
\(416\) | −3.89055 | − | 5.75416i | −0.190750 | − | 0.282121i | ||||
\(417\) | −3.92103 | + | 2.14539i | −0.192014 | + | 0.105060i | ||||
\(418\) | 0.00542546 | − | 0.0343943i | 0.000265368 | − | 0.00168228i | ||||
\(419\) | −24.2206 | + | 4.28812i | −1.18326 | + | 0.209488i | −0.730986 | − | 0.682393i | \(-0.760939\pi\) |
−0.452270 | + | 0.891881i | \(0.649386\pi\) | |||||||
\(420\) | 7.49388 | + | 14.3286i | 0.365664 | + | 0.699166i | ||||
\(421\) | −28.0771 | + | 14.9088i | −1.36840 | + | 0.726613i | −0.980763 | − | 0.195201i | \(-0.937464\pi\) |
−0.387632 | + | 0.921814i | \(0.626707\pi\) | |||||||
\(422\) | 3.41536 | + | 1.01129i | 0.166257 | + | 0.0492287i | ||||
\(423\) | −1.52346 | + | 14.2657i | −0.0740733 | + | 0.693624i | ||||
\(424\) | 0.479893 | + | 8.51130i | 0.0233056 | + | 0.413345i | ||||
\(425\) | −35.4885 | + | 5.37066i | −1.72144 | + | 0.260515i | ||||
\(426\) | −0.0180735 | + | 0.962553i | −0.000875666 | + | 0.0466358i | ||||
\(427\) | 15.9207 | − | 3.43963i | 0.770456 | − | 0.166455i | ||||
\(428\) | 1.76964 | − | 7.10607i | 0.0855389 | − | 0.343485i | ||||
\(429\) | −0.945955 | + | 4.24944i | −0.0456711 | + | 0.205165i | ||||
\(430\) | 2.58375 | + | 2.47297i | 0.124599 | + | 0.119257i | ||||
\(431\) | 10.6153 | + | 30.8220i | 0.511319 | + | 1.48464i | 0.841255 | + | 0.540639i | \(0.181817\pi\) |
−0.329936 | + | 0.944003i | \(0.607027\pi\) | |||||||
\(432\) | −2.52736 | − | 16.0220i | −0.121598 | − | 0.770860i | ||||
\(433\) | −2.28224 | − | 2.95828i | −0.109678 | − | 0.142166i | 0.733727 | − | 0.679444i | \(-0.237779\pi\) |
−0.843405 | + | 0.537279i | \(0.819452\pi\) | |||||||
\(434\) | −0.986230 | − | 2.14018i | −0.0473406 | − | 0.102732i | ||||
\(435\) | −15.3282 | + | 19.3626i | −0.734933 | + | 0.928368i | ||||
\(436\) | 28.4033 | − | 17.4423i | 1.36027 | − | 0.835333i | ||||
\(437\) | −0.783231 | + | 0.108521i | −0.0374670 | + | 0.00519128i | ||||
\(438\) | 0.496761 | + | 0.678361i | 0.0237361 | + | 0.0324134i | ||||
\(439\) | 14.9320 | − | 20.9355i | 0.712666 | − | 0.999195i | −0.286488 | − | 0.958084i | \(-0.592488\pi\) |
0.999155 | − | 0.0411112i | \(-0.0130898\pi\) | |||||||
\(440\) | 2.89803 | + | 1.49265i | 0.138158 | + | 0.0711592i | ||||
\(441\) | 5.42763 | − | 5.19492i | 0.258459 | − | 0.247377i | ||||
\(442\) | 1.90189 | + | 3.14098i | 0.0904636 | + | 0.149401i | ||||
\(443\) | −12.0615 | + | 12.7607i | −0.573059 | + | 0.606280i | −0.947024 | − | 0.321163i | \(-0.895926\pi\) |
0.373965 | + | 0.927443i | \(0.377998\pi\) | |||||||
\(444\) | 0.0458476 | − | 0.110198i | 0.00217583 | − | 0.00522977i | ||||
\(445\) | 22.5911 | − | 14.2654i | 1.07092 | − | 0.676246i | ||||
\(446\) | −0.498269 | − | 0.233402i | −0.0235937 | − | 0.0110519i | ||||
\(447\) | −0.269657 | − | 1.86048i | −0.0127544 | − | 0.0879975i | ||||
\(448\) | 13.6342 | + | 19.1159i | 0.644157 | + | 0.903142i | ||||
\(449\) | −3.47860 | + | 10.5264i | −0.164165 | + | 0.496772i | −0.998516 | − | 0.0544619i | \(-0.982656\pi\) |
0.834351 | + | 0.551234i | \(0.185843\pi\) | |||||||
\(450\) | −0.911189 | + | 2.04427i | −0.0429539 | + | 0.0963678i | ||||
\(451\) | −0.617340 | − | 5.16739i | −0.0290694 | − | 0.243323i | ||||
\(452\) | 34.1301 | − | 8.72671i | 1.60535 | − | 0.410470i | ||||
\(453\) | 2.37175 | + | 0.670105i | 0.111435 | + | 0.0314843i | ||||
\(454\) | −1.20458 | − | 0.941391i | −0.0565338 | − | 0.0441817i | ||||
\(455\) | 36.1032 | − | 11.1835i | 1.69255 | − | 0.524292i | ||||
\(456\) | −0.0706114 | + | 0.00265263i | −0.00330668 | + | 0.000124221i | ||||
\(457\) | −8.36723 | + | 3.54275i | −0.391402 | + | 0.165723i | −0.576693 | − | 0.816961i | \(-0.695657\pi\) |
0.185291 | + | 0.982684i | \(0.440677\pi\) | |||||||
\(458\) | −3.83137 | + | 0.628971i | −0.179028 | + | 0.0293899i | ||||
\(459\) | 2.79413 | + | 26.1643i | 0.130419 | + | 1.22124i | ||||
\(460\) | 6.63604 | − | 36.1626i | 0.309407 | − | 1.68609i | ||||
\(461\) | −3.70858 | + | 6.67840i | −0.172726 | + | 0.311044i | −0.946667 | − | 0.322213i | \(-0.895573\pi\) |
0.773942 | + | 0.633257i | \(0.218282\pi\) | |||||||
\(462\) | −0.120446 | + | 0.613040i | −0.00560367 | + | 0.0285212i | ||||
\(463\) | 24.1587 | + | 24.3103i | 1.12275 | + | 1.12980i | 0.990348 | + | 0.138600i | \(0.0442601\pi\) |
0.132399 | + | 0.991196i | \(0.457732\pi\) | |||||||
\(464\) | −18.7089 | + | 31.7892i | −0.868538 | + | 1.47577i | ||||
\(465\) | 5.28159 | − | 10.4140i | 0.244928 | − | 0.482938i | ||||
\(466\) | −1.47877 | − | 1.86798i | −0.0685026 | − | 0.0865325i | ||||
\(467\) | 25.5456 | + | 9.33810i | 1.18211 | + | 0.432116i | 0.857874 | − | 0.513860i | \(-0.171785\pi\) |
0.324237 | + | 0.945976i | \(0.394893\pi\) | |||||||
\(468\) | −17.0192 | − | 0.426123i | −0.786711 | − | 0.0196976i | ||||
\(469\) | 8.14190 | + | 36.5752i | 0.375958 | + | 1.68889i | ||||
\(470\) | −1.66487 | + | 2.74955i | −0.0767948 | + | 0.126827i | ||||
\(471\) | −1.23745 | − | 4.48694i | −0.0570188 | − | 0.206747i | ||||
\(472\) | 0.502298 | + | 6.16045i | 0.0231201 | + | 0.283558i | ||||
\(473\) | −1.34640 | − | 10.1859i | −0.0619075 | − | 0.468347i | ||||
\(474\) | 0.159972 | − | 1.33903i | 0.00734773 | − | 0.0615035i | ||||
\(475\) | −0.688482 | − | 0.411015i | −0.0315897 | − | 0.0188586i | ||||
\(476\) | −21.1263 | − | 32.9968i | −0.968321 | − | 1.51241i | ||||
\(477\) | 26.5591 | + | 16.7711i | 1.21606 | + | 0.767896i | ||||
\(478\) | 1.15199 | − | 0.810818i | 0.0526908 | − | 0.0370859i | ||||
\(479\) | 6.53881 | − | 16.2884i | 0.298766 | − | 0.744234i | −0.700759 | − | 0.713398i | \(-0.747155\pi\) |
0.999524 | − | 0.0308362i | \(-0.00981703\pi\) | |||||||
\(480\) | 1.37269 | − | 4.74479i | 0.0626547 | − | 0.216569i | ||||
\(481\) | −0.234004 | − | 0.151895i | −0.0106697 | − | 0.00692580i | ||||
\(482\) | 1.34547 | + | 3.35161i | 0.0612845 | + | 0.152662i | ||||
\(483\) | 14.1165 | − | 1.41824i | 0.642325 | − | 0.0645321i | ||||
\(484\) | 6.94417 | + | 15.5794i | 0.315644 | + | 0.708153i | ||||
\(485\) | −22.3816 | + | 13.3615i | −1.01630 | + | 0.606716i | ||||
\(486\) | 2.28575 | + | 1.14132i | 0.103684 | + | 0.0517714i | ||||
\(487\) | −4.02839 | − | 1.76543i | −0.182544 | − | 0.0799994i | 0.308124 | − | 0.951346i | \(-0.400299\pi\) |
−0.490668 | + | 0.871347i | \(0.663247\pi\) | |||||||
\(488\) | −2.82025 | − | 1.73190i | −0.127667 | − | 0.0783993i | ||||
\(489\) | 11.1097 | − | 4.06110i | 0.502397 | − | 0.183649i | ||||
\(490\) | 1.59491 | − | 0.538154i | 0.0720507 | − | 0.0243113i | ||||
\(491\) | −8.06488 | − | 14.5232i | −0.363963 | − | 0.655424i | 0.628522 | − | 0.777792i | \(-0.283660\pi\) |
−0.992485 | + | 0.122368i | \(0.960951\pi\) | |||||||
\(492\) | −4.99054 | + | 1.61462i | −0.224991 | + | 0.0727928i | ||||
\(493\) | 32.8931 | − | 49.9863i | 1.48143 | − | 2.25127i | ||||
\(494\) | −0.0117665 | + | 0.0811818i | −0.000529399 | + | 0.00365254i | ||||
\(495\) | 10.6783 | − | 5.49990i | 0.479952 | − | 0.247202i | ||||
\(496\) | 5.67931 | − | 16.4902i | 0.255008 | − | 0.740431i | ||||
\(497\) | −23.6434 | − | 4.18592i | −1.06055 | − | 0.187764i | ||||
\(498\) | 0.305209 | + | 0.963906i | 0.0136767 | + | 0.0431937i | ||||
\(499\) | 2.50732 | − | 11.9678i | 0.112243 | − | 0.535750i | −0.885258 | − | 0.465100i | \(-0.846018\pi\) |
0.997501 | − | 0.0706505i | \(-0.0225075\pi\) | |||||||
\(500\) | 3.71794 | − | 3.21791i | 0.166271 | − | 0.143909i | ||||
\(501\) | −5.86959 | − | 7.22673i | −0.262234 | − | 0.322867i | ||||
\(502\) | −1.74075 | −0.0776936 | ||||||||
\(503\) | −20.6155 | + | 8.83176i | −0.919201 | + | 0.393789i | ||||
\(504\) | −4.91920 | −0.219119 | ||||||||
\(505\) | 20.3775 | + | 25.0891i | 0.906785 | + | 1.11645i | ||||
\(506\) | 1.07411 | − | 0.929650i | 0.0477499 | − | 0.0413280i | ||||
\(507\) | 0.0129706 | − | 0.0619105i | 0.000576045 | − | 0.00274954i | ||||
\(508\) | −11.1006 | − | 35.0579i | −0.492512 | − | 1.55544i | ||||
\(509\) | −18.9227 | − | 3.35015i | −0.838735 | − | 0.148493i | −0.261635 | − | 0.965167i | \(-0.584262\pi\) |
−0.577100 | + | 0.816674i | \(0.695816\pi\) | |||||||
\(510\) | −0.850274 | + | 2.46882i | −0.0376508 | + | 0.109321i | ||||
\(511\) | −18.6427 | + | 9.60204i | −0.824705 | + | 0.424769i | ||||
\(512\) | 1.77165 | − | 12.2233i | 0.0782965 | − | 0.540200i | ||||
\(513\) | −0.323132 | + | 0.491050i | −0.0142666 | + | 0.0216804i | ||||
\(514\) | 2.50707 | − | 0.811128i | 0.110582 | − | 0.0357773i | ||||
\(515\) | 1.72671 | + | 3.10945i | 0.0760879 | + | 0.137019i | ||||
\(516\) | −9.81212 | + | 3.31080i | −0.431954 | + | 0.145750i | ||||
\(517\) | 8.67273 | − | 3.17028i | 0.381426 | − | 0.139429i | ||||
\(518\) | −0.0341168 | − | 0.0209509i | −0.00149901 | − | 0.000920529i | ||||
\(519\) | 12.4505 | + | 5.45639i | 0.546514 | + | 0.239509i | ||||
\(520\) | −6.87084 | − | 3.43075i | −0.301306 | − | 0.150448i | ||||
\(521\) | −36.7801 | + | 21.9572i | −1.61136 | + | 0.961964i | −0.628462 | + | 0.777840i | \(0.716315\pi\) |
−0.982903 | + | 0.184124i | \(0.941055\pi\) | |||||||
\(522\) | −1.51908 | − | 3.40809i | −0.0664885 | − | 0.149168i | ||||
\(523\) | 13.3624 | − | 1.34248i | 0.584299 | − | 0.0587024i | 0.196592 | − | 0.980485i | \(-0.437012\pi\) |
0.387706 | + | 0.921783i | \(0.373267\pi\) | |||||||
\(524\) | 4.00321 | + | 9.97213i | 0.174881 | + | 0.435635i | ||||
\(525\) | 12.0677 | + | 7.83330i | 0.526679 | + | 0.341873i | ||||
\(526\) | 0.882335 | − | 3.04984i | 0.0384716 | − | 0.132979i | ||||
\(527\) | −10.5404 | + | 26.2565i | −0.459148 | + | 1.14375i | ||||
\(528\) | −3.78127 | + | 2.66141i | −0.164559 | + | 0.115823i | ||||
\(529\) | −7.82883 | − | 4.94362i | −0.340384 | − | 0.214940i | ||||
\(530\) | 3.79461 | + | 5.92675i | 0.164828 | + | 0.257442i | ||||
\(531\) | 19.5549 | + | 11.6740i | 0.848611 | + | 0.506610i | ||||
\(532\) | 0.103831 | − | 0.869106i | 0.00450164 | − | 0.0376805i | ||||
\(533\) | 1.60662 | + | 12.1545i | 0.0695904 | + | 0.526470i | ||||
\(534\) | −0.0845547 | − | 1.03702i | −0.00365904 | − | 0.0448764i | ||||
\(535\) | −3.23613 | − | 11.7340i | −0.139910 | − | 0.507306i | ||||
\(536\) | 3.94354 | − | 6.51279i | 0.170335 | − | 0.281310i | ||||
\(537\) | 2.48360 | + | 11.1569i | 0.107175 | + | 0.481456i | ||||
\(538\) | 0.213012 | + | 0.00533336i | 0.00918359 | + | 0.000229937i | ||||
\(539\) | −4.54169 | − | 1.66020i | −0.195624 | − | 0.0715097i | ||||
\(540\) | −16.9652 | − | 21.4305i | −0.730067 | − | 0.922221i | ||||
\(541\) | −11.0649 | + | 21.8173i | −0.475718 | + | 0.937999i | 0.520724 | + | 0.853725i | \(0.325662\pi\) |
−0.996443 | + | 0.0842743i | \(0.973143\pi\) | |||||||
\(542\) | −1.29952 | + | 2.20807i | −0.0558191 | + | 0.0948449i | ||||
\(543\) | 3.00539 | + | 3.02426i | 0.128974 | + | 0.129783i | ||||
\(544\) | −2.30734 | + | 11.7437i | −0.0989263 | + | 0.503509i | ||||
\(545\) | 26.8963 | − | 48.4349i | 1.15211 | − | 2.07472i | ||||
\(546\) | 0.265657 | − | 1.44768i | 0.0113691 | − | 0.0619549i | ||||
\(547\) | −1.56017 | − | 14.6094i | −0.0667080 | − | 0.624655i | −0.977375 | − | 0.211514i | \(-0.932161\pi\) |
0.910667 | − | 0.413141i | \(-0.135568\pi\) | |||||||
\(548\) | 32.2328 | − | 5.29144i | 1.37692 | − | 0.226039i | ||||
\(549\) | −11.2296 | + | 4.75469i | −0.479266 | + | 0.202925i | ||||
\(550\) | 1.43951 | − | 0.0540776i | 0.0613811 | − | 0.00230588i | ||||
\(551\) | 1.27692 | − | 0.395544i | 0.0543984 | − | 0.0168507i | ||||
\(552\) | −2.27143 | − | 1.77514i | −0.0966783 | − | 0.0755550i | ||||
\(553\) | 32.3668 | + | 9.14478i | 1.37638 | + | 0.388876i | ||||
\(554\) | 2.58235 | − | 0.660279i | 0.109713 | − | 0.0280525i | ||||
\(555\) | −0.0235335 | − | 0.196985i | −0.000998941 | − | 0.00836155i | ||||
\(556\) | −4.57995 | + | 10.2752i | −0.194233 | + | 0.435766i | ||||
\(557\) | 4.96771 | − | 15.0325i | 0.210489 | − | 0.636949i | −0.789250 | − | 0.614073i | \(-0.789530\pi\) |
0.999738 | − | 0.0228768i | \(-0.00728254\pi\) | |||||||
\(558\) | 1.02447 | + | 1.43636i | 0.0433693 | + | 0.0608060i | ||||
\(559\) | 3.47203 | + | 23.9549i | 0.146851 | + | 1.01319i | ||||
\(560\) | 36.3535 | + | 17.0289i | 1.53621 | + | 0.719602i | ||||
\(561\) | 6.34252 | − | 4.00507i | 0.267781 | − | 0.169094i | ||||
\(562\) | 1.32202 | − | 3.17756i | 0.0557659 | − | 0.134037i | ||||
\(563\) | −22.3392 | + | 23.6342i | −0.941485 | + | 0.996064i | −0.999998 | − | 0.00222282i | \(-0.999292\pi\) |
0.0585128 | + | 0.998287i | \(0.481364\pi\) | |||||||
\(564\) | −4.82059 | − | 7.96124i | −0.202983 | − | 0.335228i | ||||
\(565\) | 42.3011 | − | 40.4875i | 1.77962 | − | 1.70332i | ||||
\(566\) | 4.25383 | + | 2.19096i | 0.178802 | + | 0.0920929i | ||||
\(567\) | −7.11320 | + | 9.97308i | −0.298726 | + | 0.418830i | ||||
\(568\) | 2.88250 | + | 3.93626i | 0.120947 | + | 0.165162i | ||||
\(569\) | 28.1414 | − | 3.89915i | 1.17975 | − | 0.163461i | 0.479618 | − | 0.877477i | \(-0.340775\pi\) |
0.700129 | + | 0.714016i | \(0.253126\pi\) | |||||||
\(570\) | −0.0497080 | + | 0.0305253i | −0.00208204 | + | 0.00127856i | ||||
\(571\) | −3.90386 | + | 4.93135i | −0.163371 | + | 0.206371i | −0.858922 | − | 0.512106i | \(-0.828866\pi\) |
0.695551 | + | 0.718477i | \(0.255160\pi\) | |||||||
\(572\) | 4.58587 | + | 9.95162i | 0.191745 | + | 0.416098i | ||||
\(573\) | −8.27878 | − | 10.7311i | −0.345851 | − | 0.448297i | ||||
\(574\) | 0.274151 | + | 1.73796i | 0.0114429 | + | 0.0725412i | ||||
\(575\) | −10.6524 | − | 30.9298i | −0.444236 | − | 1.28986i | ||||
\(576\) | −12.6997 | − | 12.1552i | −0.529153 | − | 0.506466i | ||||
\(577\) | −5.02697 | + | 22.5823i | −0.209276 | + | 0.940114i | 0.750834 | + | 0.660491i | \(0.229652\pi\) |
−0.960110 | + | 0.279623i | \(0.909791\pi\) | |||||||
\(578\) | 0.859627 | − | 3.45187i | 0.0357558 | − | 0.143579i | ||||
\(579\) | −1.80851 | + | 0.390724i | −0.0751592 | + | 0.0162380i | ||||
\(580\) | −1.16690 | + | 62.1462i | −0.0484528 | + | 2.58048i | ||||
\(581\) | −24.9330 | + | 3.77325i | −1.03440 | + | 0.156541i | ||||
\(582\) | 0.0571432 | + | 1.01348i | 0.00236866 | + | 0.0420102i | ||||
\(583\) | 2.14680 | − | 20.1027i | 0.0889114 | − | 0.832568i | ||||
\(584\) | 4.08562 | + | 1.20975i | 0.169064 | + | 0.0500599i | ||||
\(585\) | −24.9924 | + | 13.2709i | −1.03331 | + | 0.548683i | ||||
\(586\) | −1.34434 | − | 2.57044i | −0.0555342 | − | 0.106184i | ||||
\(587\) | 16.9539 | − | 3.00159i | 0.699763 | − | 0.123889i | 0.186925 | − | 0.982374i | \(-0.440148\pi\) |
0.512838 | + | 0.858485i | \(0.328594\pi\) | |||||||
\(588\) | −0.759420 | + | 4.81428i | −0.0313179 | + | 0.198538i | ||||
\(589\) | −0.554493 | + | 0.303391i | −0.0228475 | + | 0.0125010i | ||||
\(590\) | 2.85797 | + | 4.22696i | 0.117661 | + | 0.174021i | ||||
\(591\) | 9.24810 | − | 9.30615i | 0.380416 | − | 0.382804i | ||||
\(592\) | −0.0751983 | − | 0.286615i | −0.00309063 | − | 0.0117798i | ||||
\(593\) | 28.3099 | + | 25.1291i | 1.16255 | + | 1.03193i | 0.998969 | + | 0.0453973i | \(0.0144554\pi\) |
0.163579 | + | 0.986530i | \(0.447696\pi\) | |||||||
\(594\) | 0.00660895 | − | 1.05604i | 0.000271168 | − | 0.0433299i | ||||
\(595\) | −57.5179 | − | 30.5418i | −2.35800 | − | 1.25209i | ||||
\(596\) | −3.37704 | − | 3.31423i | −0.138329 | − | 0.135756i | ||||
\(597\) | −5.03681 | − | 5.74640i | −0.206143 | − | 0.235185i | ||||
\(598\) | −2.50284 | + | 2.22163i | −0.102349 | + | 0.0908491i | ||||
\(599\) | −14.4761 | − | 9.65625i | −0.591477 | − | 0.394544i | 0.222932 | − | 0.974834i | \(-0.428437\pi\) |
−0.814410 | + | 0.580290i | \(0.802939\pi\) | |||||||
\(600\) | −0.670873 | − | 2.84533i | −0.0273883 | − | 0.116160i | ||||
\(601\) | 0.0687109 | + | 3.65938i | 0.00280278 | + | 0.149269i | 0.998436 | + | 0.0559136i | \(0.0178071\pi\) |
−0.995633 | + | 0.0933555i | \(0.970241\pi\) | |||||||
\(602\) | 0.584158 | + | 3.42420i | 0.0238085 | + | 0.139560i | ||||
\(603\) | −11.0996 | − | 25.7646i | −0.452011 | − | 1.04922i | ||||
\(604\) | 5.77107 | − | 2.27491i | 0.234822 | − | 0.0925647i | ||||
\(605\) | 22.7685 | + | 16.8932i | 0.925673 | + | 0.686807i | ||||
\(606\) | 1.23353 | − | 0.250384i | 0.0501088 | − | 0.0101712i | ||||
\(607\) | −4.58693 | + | 4.73275i | −0.186178 | + | 0.192096i | −0.804719 | − | 0.593656i | \(-0.797684\pi\) |
0.618541 | + | 0.785752i | \(0.287724\pi\) | |||||||
\(608\) | −0.206480 | + | 0.169860i | −0.00837388 | + | 0.00688873i | ||||
\(609\) | −23.1617 | + | 6.23207i | −0.938560 | + | 0.252536i | ||||
\(610\) | −2.73021 | − | 0.102565i | −0.110543 | − | 0.00415272i | ||||
\(611\) | −20.3367 | + | 7.72389i | −0.822734 | + | 0.312475i | ||||
\(612\) | 20.1500 | + | 21.3181i | 0.814515 | + | 0.861734i | ||||
\(613\) | 0.785202 | − | 2.84710i | 0.0317140 | − | 0.114993i | −0.946437 | − | 0.322888i | \(-0.895346\pi\) |
0.978151 | + | 0.207895i | \(0.0666611\pi\) | |||||||
\(614\) | −2.16199 | − | 0.410740i | −0.0872509 | − | 0.0165761i | ||||
\(615\) | −5.90902 | + | 6.41042i | −0.238275 | + | 0.258493i | ||||
\(616\) | 1.39664 | + | 2.84143i | 0.0562721 | + | 0.114485i | ||||
\(617\) | −4.72605 | − | 18.9777i | −0.190264 | − | 0.764012i | −0.987139 | − | 0.159867i | \(-0.948893\pi\) |
0.796875 | − | 0.604145i | \(-0.206485\pi\) | |||||||
\(618\) | 0.138463 | − | 0.00346682i | 0.00556980 | − | 0.000139456i | ||||
\(619\) | −11.7503 | − | 3.96478i | −0.472284 | − | 0.159358i | 0.0734805 | − | 0.997297i | \(-0.476589\pi\) |
−0.545764 | + | 0.837939i | \(0.683761\pi\) | |||||||
\(620\) | −5.30461 | − | 28.9071i | −0.213038 | − | 1.16094i | ||||
\(621\) | −22.9951 | + | 6.80885i | −0.922761 | + | 0.273230i | ||||
\(622\) | −2.46120 | + | 2.41542i | −0.0986851 | + | 0.0968495i | ||||
\(623\) | 25.8769 | + | 1.94696i | 1.03673 | + | 0.0780032i | ||||
\(624\) | 8.82898 | − | 6.38092i | 0.353442 | − | 0.255441i | ||||
\(625\) | −6.95975 | + | 19.4153i | −0.278390 | + | 0.776611i | ||||
\(626\) | −1.05356 | − | 1.84254i | −0.0421089 | − | 0.0736426i | ||||
\(627\) | 0.166265 | + | 0.0209196i | 0.00664000 | + | 0.000835450i | ||||
\(628\) | −9.32010 | − | 7.09766i | −0.371913 | − | 0.283227i | ||||
\(629\) | 0.0985687 | + | 0.470481i | 0.00393019 | + | 0.0187593i | ||||
\(630\) | −3.53784 | + | 1.99367i | −0.140951 | + | 0.0794295i | ||||
\(631\) | −48.3788 | + | 3.03158i | −1.92593 | + | 0.120685i | −0.979400 | − | 0.201929i | \(-0.935279\pi\) |
−0.946530 | + | 0.322615i | \(0.895438\pi\) | |||||||
\(632\) | −3.46631 | − | 5.88978i | −0.137883 | − | 0.234283i | ||||
\(633\) | −4.35040 | + | 16.5813i | −0.172913 | + | 0.659048i | ||||
\(634\) | −1.42095 | + | 0.947844i | −0.0564333 | + | 0.0376437i | ||||
\(635\) | −44.6822 | − | 41.7075i | −1.77316 | − | 1.65511i | ||||
\(636\) | −20.2985 | + | 1.78300i | −0.804889 | + | 0.0707006i | ||||
\(637\) | 10.7477 | + | 3.77697i | 0.425840 | + | 0.149649i | ||||
\(638\) | −1.53729 | + | 1.84507i | −0.0608621 | + | 0.0730469i | ||||
\(639\) | 17.9754 | − | 0.224998i | 0.711097 | − | 0.00890077i | ||||
\(640\) | −5.96847 | − | 15.4233i | −0.235925 | − | 0.609658i | ||||
\(641\) | −17.7740 | + | 36.1609i | −0.702031 | + | 1.42827i | 0.192514 | + | 0.981294i | \(0.438336\pi\) |
−0.894546 | + | 0.446976i | \(0.852501\pi\) | |||||||
\(642\) | −0.463319 | − | 0.100099i | −0.0182857 | − | 0.00395059i | ||||
\(643\) | −1.79505 | + | 7.61322i | −0.0707899 | + | 0.300236i | −0.997060 | − | 0.0766240i | \(-0.975586\pi\) |
0.926270 | + | 0.376860i | \(0.122996\pi\) | |||||||
\(644\) | 26.1044 | − | 24.3665i | 1.02866 | − | 0.960174i | ||||
\(645\) | −11.5068 | + | 12.8011i | −0.453080 | + | 0.504042i | ||||
\(646\) | 0.113510 | − | 0.0842193i | 0.00446600 | − | 0.00331357i | ||||
\(647\) | 10.5480 | − | 16.9379i | 0.414683 | − | 0.665896i | −0.573494 | − | 0.819209i | \(-0.694413\pi\) |
0.988178 | + | 0.153313i | \(0.0489943\pi\) | |||||||
\(648\) | 2.44533 | − | 0.464569i | 0.0960616 | − | 0.0182500i | ||||
\(649\) | 1.19122 | − | 14.6098i | 0.0467596 | − | 0.573484i | ||||
\(650\) | −3.38944 | + | 0.169835i | −0.132945 | + | 0.00666147i | ||||
\(651\) | 10.1465 | − | 5.06635i | 0.397673 | − | 0.198566i | ||||
\(652\) | 16.0533 | − | 25.0734i | 0.628694 | − | 0.981948i | ||||
\(653\) | −6.26122 | + | 2.93292i | −0.245020 | + | 0.114774i | −0.542804 | − | 0.839860i | \(-0.682637\pi\) |
0.297783 | + | 0.954634i | \(0.403753\pi\) | |||||||
\(654\) | −1.18597 | − | 1.80226i | −0.0463749 | − | 0.0704741i | ||||
\(655\) | 13.9343 | + | 11.1735i | 0.544458 | + | 0.436585i | ||||
\(656\) | −7.42828 | + | 10.6955i | −0.290026 | + | 0.417590i | ||||
\(657\) | 12.3706 | − | 9.66772i | 0.482622 | − | 0.377174i | ||||
\(658\) | −2.88984 | + | 1.18115i | −0.112658 | + | 0.0460460i | ||||
\(659\) | −0.601234 | − | 0.547288i | −0.0234208 | − | 0.0213193i | 0.661357 | − | 0.750072i | \(-0.269981\pi\) |
−0.684777 | + | 0.728752i | \(0.740101\pi\) | |||||||
\(660\) | −3.34938 | + | 7.03533i | −0.130374 | + | 0.273850i | ||||
\(661\) | −31.4878 | + | 28.6625i | −1.22473 | + | 1.11484i | −0.234989 | + | 0.971998i | \(0.575506\pi\) |
−0.989745 | + | 0.142845i | \(0.954375\pi\) | |||||||
\(662\) | 0.0763518 | + | 0.252053i | 0.00296750 | + | 0.00979632i | ||||
\(663\) | −14.8228 | + | 9.62167i | −0.575672 | + | 0.373675i | ||||
\(664\) | 4.19005 | + | 2.94913i | 0.162606 | + | 0.114448i | ||||
\(665\) | −0.558852 | − | 1.34324i | −0.0216714 | − | 0.0520886i | ||||
\(666\) | 0.0280217 | + | 0.0106427i | 0.00108582 | + | 0.000412395i | ||||
\(667\) | 50.2208 | + | 21.2639i | 1.94456 | + | 0.823342i | ||||
\(668\) | −22.7735 | − | 5.52021i | −0.881133 | − | 0.213584i | ||||
\(669\) | 1.04772 | − | 2.43199i | 0.0405072 | − | 0.0940262i | ||||
\(670\) | 0.196639 | − | 6.28219i | 0.00759681 | − | 0.242702i | ||||
\(671\) | 5.93466 | + | 5.13650i | 0.229105 | + | 0.198293i | ||||
\(672\) | 3.81664 | − | 2.90653i | 0.147230 | − | 0.112122i | ||||
\(673\) | 9.22665 | − | 5.35271i | 0.355661 | − | 0.206332i | −0.313255 | − | 0.949669i | \(-0.601420\pi\) |
0.668917 | + | 0.743337i | \(0.266758\pi\) | |||||||
\(674\) | 1.29212 | − | 0.365069i | 0.0497705 | − | 0.0140619i | ||||
\(675\) | −22.5115 | − | 9.20104i | −0.866470 | − | 0.354148i | ||||
\(676\) | −0.0684360 | − | 0.143749i | −0.00263215 | − | 0.00552881i | ||||
\(677\) | −1.46491 | + | 4.83598i | −0.0563011 | + | 0.185862i | −0.980682 | − | 0.195610i | \(-0.937331\pi\) |
0.924381 | + | 0.381471i | \(0.124582\pi\) | |||||||
\(678\) | −0.633700 | − | 2.19042i | −0.0243371 | − | 0.0841224i | ||||
\(679\) | −25.1904 | − | 2.53079i | −0.966718 | − | 0.0971227i | ||||
\(680\) | 4.15204 | + | 12.5643i | 0.159223 | + | 0.481818i | ||||
\(681\) | 4.34705 | − | 5.93620i | 0.166579 | − | 0.227476i | ||||
\(682\) | 0.538809 | − | 0.999561i | 0.0206321 | − | 0.0382752i | ||||
\(683\) | 1.54376 | − | 35.2175i | 0.0590705 | − | 1.34756i | −0.708098 | − | 0.706114i | \(-0.750446\pi\) |
0.767168 | − | 0.641446i | \(-0.221665\pi\) | |||||||
\(684\) | 0.0450763 | + | 0.653766i | 0.00172354 | + | 0.0249974i | ||||
\(685\) | 42.3569 | − | 33.9648i | 1.61837 | − | 1.29773i | ||||
\(686\) | −1.90133 | − | 0.615149i | −0.0725931 | − | 0.0234865i | ||||
\(687\) | −3.60245 | − | 18.3355i | −0.137442 | − | 0.699544i | ||||
\(688\) | −14.4002 | + | 21.2980i | −0.549001 | + | 0.811977i | ||||
\(689\) | −4.46443 | + | 47.4187i | −0.170081 | + | 1.80651i | ||||
\(690\) | −2.35302 | − | 0.356095i | −0.0895780 | − | 0.0135563i | ||||
\(691\) | 3.72947 | − | 21.8613i | 0.141876 | − | 0.831645i | −0.822825 | − | 0.568295i | \(-0.807603\pi\) |
0.964701 | − | 0.263349i | \(-0.0848271\pi\) | |||||||
\(692\) | 33.2514 | − | 8.06003i | 1.26403 | − | 0.306397i | ||||
\(693\) | 11.5120 | + | 1.88985i | 0.437305 | + | 0.0717894i | ||||
\(694\) | 0.109027 | − | 1.93368i | 0.00413860 | − | 0.0734015i | ||||
\(695\) | 1.75271 | + | 18.6164i | 0.0664841 | + | 0.706159i | ||||
\(696\) | 4.27549 | + | 2.33933i | 0.162062 | + | 0.0886723i | ||||
\(697\) | 12.9037 | − | 16.7259i | 0.488763 | − | 0.633540i | ||||
\(698\) | 0.762547 | + | 0.174764i | 0.0288628 | + | 0.00661491i | ||||
\(699\) | 8.76298 | − | 7.39464i | 0.331446 | − | 0.279691i | ||||
\(700\) | 36.1097 | − | 2.71687i | 1.36482 | − | 0.102688i | ||||
\(701\) | 23.5949 | − | 26.9190i | 0.891169 | − | 1.01672i | −0.108575 | − | 0.994088i | \(-0.534629\pi\) |
0.999744 | − | 0.0226296i | \(-0.00720385\pi\) | |||||||
\(702\) | 0.0155698 | + | 2.48789i | 0.000587643 | + | 0.0938992i | ||||
\(703\) | −0.00497678 | + | 0.00951584i | −0.000187703 | + | 0.000358897i | ||||
\(704\) | −3.41545 | + | 10.7866i | −0.128725 | + | 0.406537i | ||||
\(705\) | −13.4770 | − | 7.59462i | −0.507572 | − | 0.286030i | ||||
\(706\) | −3.90114 | − | 1.88729i | −0.146821 | − | 0.0710292i | ||||
\(707\) | 1.37478 | + | 31.3625i | 0.0517039 | + | 1.17951i | ||||
\(708\) | −14.6804 | + | 1.66073i | −0.551724 | + | 0.0624141i | ||||
\(709\) | −0.143430 | − | 0.117992i | −0.00538662 | − | 0.00443127i | 0.632603 | − | 0.774476i | \(-0.281987\pi\) |
−0.637989 | + | 0.770045i | \(0.720234\pi\) | |||||||
\(710\) | 3.66837 | + | 1.66269i | 0.137671 | + | 0.0623997i | ||||
\(711\) | −25.0848 | − | 2.20342i | −0.940752 | − | 0.0826347i | ||||
\(712\) | −3.52493 | − | 3.92140i | −0.132102 | − | 0.146961i | ||||
\(713\) | −25.2713 | − | 5.12962i | −0.946419 | − | 0.192106i | ||||
\(714\) | −2.09198 | + | 1.43361i | −0.0782906 | + | 0.0536515i | ||||
\(715\) | 14.7613 | + | 10.6683i | 0.552040 | + | 0.398973i | ||||
\(716\) | 21.9866 | + | 18.5534i | 0.821677 | + | 0.693373i | ||||
\(717\) | 4.07377 | + | 5.41939i | 0.152138 | + | 0.202391i | ||||
\(718\) | −0.678540 | + | 0.0853744i | −0.0253229 | + | 0.00318614i | ||||
\(719\) | −24.5523 | − | 14.2437i | −0.915647 | − | 0.531199i | −0.0320702 | − | 0.999486i | \(-0.510210\pi\) |
−0.883576 | + | 0.468287i | \(0.844871\pi\) | |||||||
\(720\) | −29.1188 | − | 7.44536i | −1.08519 | − | 0.277472i | ||||
\(721\) | −0.452684 | + | 3.42467i | −0.0168588 | + | 0.127541i | ||||
\(722\) | −3.08838 | − | 0.154750i | −0.114938 | − | 0.00575919i | ||||
\(723\) | −15.9198 | + | 6.97683i | −0.592065 | + | 0.259471i | ||||
\(724\) | 10.6298 | + | 1.47282i | 0.395052 | + | 0.0547368i | ||||
\(725\) | 26.2417 | + | 48.6818i | 0.974593 | + | 1.80800i | ||||
\(726\) | 0.993863 | − | 0.480811i | 0.0368857 | − | 0.0178446i | ||||
\(727\) | 13.6900 | + | 0.857864i | 0.507736 | + | 0.0318164i | 0.314351 | − | 0.949307i | \(-0.398213\pi\) |
0.193384 | + | 0.981123i | \(0.438054\pi\) | |||||||
\(728\) | −3.37381 | − | 6.65233i | −0.125042 | − | 0.246552i | ||||
\(729\) | −0.318313 | + | 0.690758i | −0.0117894 | + | 0.0255836i | ||||
\(730\) | 3.42863 | − | 0.785788i | 0.126899 | − | 0.0290833i | ||||
\(731\) | 25.0604 | − | 33.3382i | 0.926891 | − | 1.23306i | ||||
\(732\) | 3.92679 | − | 6.86741i | 0.145138 | − | 0.253827i | ||||
\(733\) | −24.6705 | − | 28.8672i | −0.911227 | − | 1.06623i | −0.997549 | − | 0.0699666i | \(-0.977711\pi\) |
0.0863225 | − | 0.996267i | \(-0.472488\pi\) | |||||||
\(734\) | 3.73609 | + | 4.48407i | 0.137902 | + | 0.165510i | ||||
\(735\) | 2.82885 | + | 7.59104i | 0.104344 | + | 0.280000i | ||||
\(736\) | −10.9071 | − | 0.136524i | −0.402042 | − | 0.00503235i | ||||
\(737\) | −11.7308 | + | 13.7263i | −0.432111 | + | 0.505616i | ||||
\(738\) | −0.444507 | − | 1.24002i | −0.0163625 | − | 0.0456458i | ||||
\(739\) | −11.3640 | − | 7.78762i | −0.418033 | − | 0.286472i | 0.337824 | − | 0.941209i | \(-0.390309\pi\) |
−0.755857 | + | 0.654737i | \(0.772779\pi\) | |||||||
\(740\) | −0.347510 | − | 0.358558i | −0.0127747 | − | 0.0131808i | ||||
\(741\) | −0.392284 | − | 0.0443774i | −0.0144109 | − | 0.00163025i | ||||
\(742\) | −0.470155 | + | 6.81892i | −0.0172599 | + | 0.250331i | ||||
\(743\) | −16.2821 | − | 23.4436i | −0.597332 | − | 0.860061i | 0.401100 | − | 0.916034i | \(-0.368628\pi\) |
−0.998432 | + | 0.0559732i | \(0.982174\pi\) | |||||||
\(744\) | −2.20121 | − | 0.681858i | −0.0807003 | − | 0.0249981i | ||||
\(745\) | −7.59460 | − | 2.04346i | −0.278245 | − | 0.0748665i | ||||
\(746\) | 4.11283 | − | 1.86415i | 0.150582 | − | 0.0682513i | ||||
\(747\) | 17.8118 | − | 6.25945i | 0.651701 | − | 0.229021i | ||||
\(748\) | 6.59290 | − | 17.6916i | 0.241060 | − | 0.646869i | ||||
\(749\) | 4.26659 | − | 11.0254i | 0.155898 | − | 0.402859i | ||||
\(750\) | −0.215716 | − | 0.234020i | −0.00787682 | − | 0.00854520i | ||||
\(751\) | −21.5016 | − | 34.5272i | −0.784604 | − | 1.25991i | −0.961260 | − | 0.275642i | \(-0.911110\pi\) |
0.176656 | − | 0.984273i | \(-0.443472\pi\) | |||||||
\(752\) | −21.4960 | − | 8.47353i | −0.783878 | − | 0.308998i | ||||
\(753\) | −0.262103 | − | 8.37363i | −0.00955155 | − | 0.305152i | ||||
\(754\) | 3.56697 | − | 4.39171i | 0.129901 | − | 0.159937i | ||||
\(755\) | 6.50046 | − | 8.00347i | 0.236576 | − | 0.291276i | ||||
\(756\) | −0.830542 | − | 26.5341i | −0.0302065 | − | 0.965034i | ||||
\(757\) | −49.7259 | − | 19.6016i | −1.80732 | − | 0.712431i | −0.990837 | − | 0.135061i | \(-0.956877\pi\) |
−0.816483 | − | 0.577369i | \(-0.804079\pi\) | |||||||
\(758\) | −0.198008 | − | 0.317961i | −0.00719198 | − | 0.0115488i | ||||
\(759\) | 4.63367 | + | 5.02685i | 0.168191 | + | 0.182463i | ||||
\(760\) | −0.106687 | + | 0.275691i | −0.00386993 | + | 0.0100004i | ||||
\(761\) | −14.0169 | + | 37.6135i | −0.508114 | + | 1.36349i | 0.388815 | + | 0.921316i | \(0.372884\pi\) |
−0.896929 | + | 0.442174i | \(0.854207\pi\) | |||||||
\(762\) | −2.24564 | + | 0.789164i | −0.0813508 | + | 0.0285884i | ||||
\(763\) | 49.0097 | − | 22.2137i | 1.77427 | − | 0.804191i | ||||
\(764\) | −32.9415 | − | 8.86349i | −1.19178 | − | 0.320670i | ||||
\(765\) | 46.5742 | + | 14.4271i | 1.68389 | + | 0.521611i | ||||
\(766\) | 1.30726 | + | 1.88224i | 0.0472331 | + | 0.0680079i | ||||
\(767\) | −2.37535 | + | 34.4511i | −0.0857691 | + | 1.24396i | ||||
\(768\) | 10.8440 | + | 1.22674i | 0.391300 | + | 0.0442661i | ||||
\(769\) | −8.98664 | − | 9.27233i | −0.324067 | − | 0.334369i | 0.536316 | − | 0.844017i | \(-0.319815\pi\) |
−0.860383 | + | 0.509648i | \(0.829776\pi\) | |||||||
\(770\) | 2.15603 | + | 1.47750i | 0.0776980 | + | 0.0532454i | ||||
\(771\) | 4.27929 | + | 11.9377i | 0.154115 | + | 0.429927i | ||||
\(772\) | −3.02555 | + | 3.54022i | −0.108892 | + | 0.127415i | ||||
\(773\) | −19.6167 | − | 0.245541i | −0.705564 | − | 0.00883151i | −0.341071 | − | 0.940038i | \(-0.610790\pi\) |
−0.364493 | + | 0.931206i | \(0.618758\pi\) | |||||||
\(774\) | −0.908160 | − | 2.43699i | −0.0326431 | − | 0.0875957i | ||||
\(775\) | −16.7388 | − | 20.0899i | −0.601275 | − | 0.721652i | ||||
\(776\) | 3.34213 | + | 3.91065i | 0.119976 | + | 0.140384i | ||||
\(777\) | 0.0956441 | − | 0.167268i | 0.00343121 | − | 0.00600072i | ||||
\(778\) | 0.0182991 | − | 0.0243436i | 0.000656056 | − | 0.000872761i | ||||
\(779\) | 0.460002 | − | 0.105425i | 0.0164813 | − | 0.00377725i | ||||
\(780\) | 7.68261 | − | 16.6717i | 0.275082 | − | 0.596944i | ||||
\(781\) | −5.23347 | − | 10.3191i | −0.187268 | − | 0.369247i | ||||
\(782\) | 5.75509 | + | 0.360633i | 0.205801 | + | 0.0128962i | ||||
\(783\) | 36.4972 | − | 17.6566i | 1.30430 | − | 0.630994i | ||||
\(784\) | 5.74139 | + | 10.6510i | 0.205050 | + | 0.380394i | ||||
\(785\) | −19.2878 | − | 2.67244i | −0.688412 | − | 0.0953835i | ||||
\(786\) | 0.637052 | − | 0.279187i | 0.0227229 | − | 0.00995826i | ||||
\(787\) | 27.6893 | + | 1.38743i | 0.987016 | + | 0.0494565i | 0.537016 | − | 0.843572i | \(-0.319552\pi\) |
0.450000 | + | 0.893029i | \(0.351424\pi\) | |||||||
\(788\) | 4.32732 | − | 32.7373i | 0.154154 | − | 1.16622i | ||||
\(789\) | 14.8036 | + | 3.78513i | 0.527023 | + | 0.134754i | ||||
\(790\) | −4.87997 | − | 2.83104i | −0.173621 | − | 0.100724i | ||||
\(791\) | 56.4261 | − | 7.09958i | 2.00628 | − | 0.252432i | ||||
\(792\) | −1.42433 | − | 1.89481i | −0.0506114 | − | 0.0673291i | ||||
\(793\) | −14.1316 | − | 11.9250i | −0.501828 | − | 0.423468i | ||||
\(794\) | −3.72577 | − | 2.69270i | −0.132222 | − | 0.0955605i | ||||
\(795\) | −27.9384 | + | 19.1458i | −0.990873 | + | 0.679031i | ||||
\(796\) | −18.8485 | − | 3.82591i | −0.668069 | − | 0.135606i | ||||
\(797\) | −3.25080 | − | 3.61644i | −0.115149 | − | 0.128101i | 0.683365 | − | 0.730077i | \(-0.260516\pi\) |
−0.798514 | + | 0.601976i | \(0.794380\pi\) | |||||||
\(798\) | −0.0564381 | − | 0.00495747i | −0.00199789 | − | 0.000175493i | ||||
\(799\) | 34.1401 | + | 15.4741i | 1.20779 | + | 0.547433i | ||||
\(800\) | −8.54236 | − | 7.02732i | −0.302018 | − | 0.248453i | ||||
\(801\) | −19.3054 | + | 2.18393i | −0.682122 | + | 0.0771655i | ||||
\(802\) | 0.0736385 | + | 1.67990i | 0.00260027 | + | 0.0593193i | ||||
\(803\) | −9.09649 | − | 4.40069i | −0.321008 | − | 0.155297i | ||||
\(804\) | 15.8547 | + | 8.93451i | 0.559151 | + | 0.315096i | ||||
\(805\) | 17.9171 | − | 56.5856i | 0.631494 | − | 1.99438i | ||||
\(806\) | −1.23979 | + | 2.37053i | −0.0436697 | + | 0.0834984i | ||||
\(807\) | 0.00641759 | + | 1.02546i | 0.000225910 | + | 0.0360980i | ||||
\(808\) | 4.20451 | − | 4.79685i | 0.147914 | − | 0.168753i | ||||
\(809\) | −40.4458 | + | 3.04311i | −1.42200 | + | 0.106990i | −0.763605 | − | 0.645684i | \(-0.776572\pi\) |
−0.658393 | + | 0.752674i | \(0.728763\pi\) | |||||||
\(810\) | 1.57038 | − | 1.32516i | 0.0551774 | − | 0.0465615i | ||||
\(811\) | −41.3937 | − | 9.48678i | −1.45353 | − | 0.333126i | −0.577899 | − | 0.816108i | \(-0.696127\pi\) |
−0.875630 | + | 0.482982i | \(0.839554\pi\) | |||||||
\(812\) | −36.8758 | + | 47.7989i | −1.29409 | + | 1.67741i | ||||
\(813\) | −10.8173 | − | 5.91866i | −0.379378 | − | 0.207577i | ||||
\(814\) | −0.00180837 | − | 0.0192076i | −6.33834e−5 | − | 0.000673225i | ||||
\(815\) | 2.78573 | − | 49.4073i | 0.0975799 | − | 1.73066i | ||||
\(816\) | −18.5220 | − | 3.04063i | −0.648399 | − | 0.106443i | ||||
\(817\) | 0.905502 | − | 0.219491i | 0.0316795 | − | 0.00767901i | ||||
\(818\) | 0.616013 | − | 3.61093i | 0.0215384 | − | 0.126253i | ||||
\(819\) | −27.1743 | − | 4.11244i | −0.949548 | − | 0.143700i | ||||
\(820\) | −2.05688 | + | 21.8471i | −0.0718293 | + | 0.762932i | ||||
\(821\) | −16.5797 | + | 24.5215i | −0.578634 | + | 0.855806i | −0.998662 | − | 0.0517056i | \(-0.983534\pi\) |
0.420028 | + | 0.907511i | \(0.362020\pi\) | |||||||
\(822\) | −0.407609 | − | 2.07462i | −0.0142170 | − | 0.0723608i | ||||
\(823\) | 28.1276 | + | 9.10032i | 0.980468 | + | 0.317217i | 0.754053 | − | 0.656814i | \(-0.228096\pi\) |
0.226415 | + | 0.974031i | \(0.427299\pi\) | |||||||
\(824\) | 0.547604 | − | 0.439107i | 0.0190767 | − | 0.0152970i | ||||
\(825\) | 0.476878 | + | 6.91642i | 0.0166028 | + | 0.240799i | ||||
\(826\) | −0.217029 | + | 4.95102i | −0.00755139 | + | 0.172268i | ||||
\(827\) | 5.40585 | − | 10.0286i | 0.187980 | − | 0.348727i | −0.768824 | − | 0.639460i | \(-0.779158\pi\) |
0.956804 | + | 0.290733i | \(0.0938990\pi\) | |||||||
\(828\) | −15.7957 | + | 21.5702i | −0.548939 | + | 0.749615i | ||||
\(829\) | 1.74487 | + | 5.28005i | 0.0606017 | + | 0.183384i | 0.975361 | − | 0.220616i | \(-0.0708068\pi\) |
−0.914759 | + | 0.404000i | \(0.867620\pi\) | |||||||
\(830\) | 4.20868 | + | 0.422831i | 0.146085 | + | 0.0146767i | ||||
\(831\) | 3.56499 | + | 12.3226i | 0.123668 | + | 0.427465i | ||||
\(832\) | 7.72765 | − | 25.5106i | 0.267908 | − | 0.884420i | ||||
\(833\) | −8.43758 | − | 17.7230i | −0.292345 | − | 0.614067i | ||||
\(834\) | 0.674041 | + | 0.275498i | 0.0233401 | + | 0.00953970i | ||||
\(835\) | −37.4818 | + | 10.5900i | −1.29711 | + | 0.366481i | ||||
\(836\) | 0.364832 | − | 0.211652i | 0.0126180 | − | 0.00732012i | ||||
\(837\) | −15.2513 | + | 11.6145i | −0.527163 | + | 0.401457i | ||||
\(838\) | 3.03001 | + | 2.62250i | 0.104670 | + | 0.0905929i | ||||
\(839\) | −0.509767 | + | 16.2860i | −0.0175991 | + | 0.562254i | 0.950361 | + | 0.311150i | \(0.100714\pi\) |
−0.967960 | + | 0.251104i | \(0.919206\pi\) | |||||||
\(840\) | 2.09861 | − | 4.87132i | 0.0724088 | − | 0.168077i | ||||
\(841\) | −61.4212 | − | 14.8883i | −2.11797 | − | 0.513390i | ||||
\(842\) | 4.76922 | + | 2.01933i | 0.164358 | + | 0.0695906i | ||||
\(843\) | 15.4842 | + | 5.88092i | 0.533305 | + | 0.202550i | ||||
\(844\) | 16.5739 | + | 39.8366i | 0.570497 | + | 1.37123i | ||||
\(845\) | −0.216401 | − | 0.152312i | −0.00744441 | − | 0.00523968i | ||||
\(846\) | 1.96052 | − | 1.27260i | 0.0674042 | − | 0.0437528i | ||||
\(847\) | 7.98299 | + | 26.3535i | 0.274299 | + | 0.905517i | ||||
\(848\) | −37.4100 | + | 34.0533i | −1.28467 | + | 1.16940i | ||||
\(849\) | −9.89879 | + | 20.7923i | −0.339725 | + | 0.713590i | ||||
\(850\) | 4.32425 | + | 3.93624i | 0.148320 | + | 0.135012i | ||||
\(851\) | −0.405544 | + | 0.165756i | −0.0139019 | + | 0.00568205i | ||||
\(852\) | −9.18859 | + | 7.18097i | −0.314796 | + | 0.246016i | ||||
\(853\) | 0.648432 | − | 0.933636i | 0.0222019 | − | 0.0319671i | −0.810083 | − | 0.586315i | \(-0.800578\pi\) |
0.832285 | + | 0.554348i | \(0.187032\pi\) | |||||||
\(854\) | −2.07021 | − | 1.66004i | −0.0708412 | − | 0.0568055i | ||||
\(855\) | 0.598757 | + | 0.909906i | 0.0204770 | + | 0.0311181i | ||||
\(856\) | −2.17532 | + | 1.01898i | −0.0743510 | + | 0.0348279i | ||||
\(857\) | −0.833282 | + | 1.30149i | −0.0284644 | + | 0.0444581i | −0.856114 | − | 0.516787i | \(-0.827128\pi\) |
0.827649 | + | 0.561245i | \(0.189678\pi\) | |||||||
\(858\) | 0.634545 | − | 0.316841i | 0.0216630 | − | 0.0108168i | ||||
\(859\) | −18.9182 | + | 0.947938i | −0.645482 | + | 0.0323432i | −0.370100 | − | 0.928992i | \(-0.620677\pi\) |
−0.275382 | + | 0.961335i | \(0.588804\pi\) | |||||||
\(860\) | −3.52071 | + | 43.1799i | −0.120055 | + | 1.47242i | ||||
\(861\) | −8.31893 | + | 1.58045i | −0.283508 | + | 0.0538615i | ||||
\(862\) | 2.80744 | − | 4.50817i | 0.0956218 | − | 0.153549i | ||||
\(863\) | −2.00868 | + | 1.49035i | −0.0683764 | + | 0.0507321i | −0.629504 | − | 0.776997i | \(-0.716742\pi\) |
0.561128 | + | 0.827729i | \(0.310368\pi\) | |||||||
\(864\) | −5.42108 | + | 6.03083i | −0.184429 | + | 0.205173i | ||||
\(865\) | 41.5727 | − | 38.8051i | 1.41352 | − | 1.31941i | ||||
\(866\) | −0.139691 | + | 0.592461i | −0.00474689 | + | 0.0201327i | ||||
\(867\) | 16.7341 | + | 3.61536i | 0.568320 | + | 0.122784i | ||||
\(868\) | 12.5917 | − | 25.6175i | 0.427389 | − | 0.869515i | ||||
\(869\) | 5.84921 | + | 15.1151i | 0.198421 | + | 0.512744i | ||||
\(870\) | 4.02299 | − | 0.0503555i | 0.136392 | − | 0.00170721i | ||||
\(871\) | 27.2293 | − | 32.6807i | 0.922631 | − | 1.10734i | ||||
\(872\) | −10.3151 | − | 3.62494i | −0.349313 | − | 0.122756i | ||||
\(873\) | 18.8820 | − | 1.65858i | 0.639060 | − | 0.0561344i | ||||
\(874\) | 0.0941703 | + | 0.0879010i | 0.00318536 | + | 0.00297330i | ||||
\(875\) | 6.60366 | − | 4.40496i | 0.223245 | − | 0.148915i | ||||
\(876\) | −2.58470 | + | 9.85145i | −0.0873289 | + | 0.332850i | ||||
\(877\) | 23.8569 | + | 40.5365i | 0.805592 | + | 1.36882i | 0.926554 | + | 0.376163i | \(0.122757\pi\) |
−0.120962 | + | 0.992657i | \(0.538598\pi\) | |||||||
\(878\) | −4.18119 | + | 0.262007i | −0.141108 | + | 0.00884232i | ||||
\(879\) | 12.1623 | − | 6.85378i | 0.410224 | − | 0.231172i | ||||
\(880\) | 3.96668 | + | 18.9335i | 0.133717 | + | 0.638248i | ||||
\(881\) | 27.5279 | + | 20.9637i | 0.927440 | + | 0.706285i | 0.956019 | − | 0.293306i | \(-0.0947555\pi\) |
−0.0285787 | + | 0.999592i | \(0.509098\pi\) | |||||||
\(882\) | −1.21443 | − | 0.152801i | −0.0408920 | − | 0.00514506i | ||||
\(883\) | −27.0631 | − | 47.3295i | −0.910745 | − | 1.59277i | −0.800885 | − | 0.598819i | \(-0.795637\pi\) |
−0.109860 | − | 0.993947i | \(-0.535040\pi\) | |||||||
\(884\) | −15.0091 | + | 41.8701i | −0.504810 | + | 1.40825i | ||||
\(885\) | −19.9028 | + | 14.3843i | −0.669027 | + | 0.483522i | ||||
\(886\) | 2.85258 | + | 0.214626i | 0.0958342 | + | 0.00721050i | ||||
\(887\) | −7.29468 | + | 7.15900i | −0.244931 | + | 0.240376i | −0.812515 | − | 0.582940i | \(-0.801902\pi\) |
0.567584 | + | 0.823316i | \(0.307878\pi\) | |||||||
\(888\) | −0.0375402 | + | 0.0111157i | −0.00125977 | + | 0.000373017i | ||||
\(889\) | −10.7150 | − | 58.3907i | −0.359370 | − | 1.95836i | ||||
\(890\) | −4.12437 | − | 1.39164i | −0.138249 | − | 0.0466480i | ||||
\(891\) | −5.90109 | + | 0.147750i | −0.197694 | + | 0.00494983i | ||||
\(892\) | −1.61062 | − | 6.46752i | −0.0539277 | − | 0.216549i | ||||
\(893\) | 0.369381 | + | 0.751498i | 0.0123609 | + | 0.0251479i | ||||
\(894\) | −0.207579 | + | 0.225193i | −0.00694248 | + | 0.00753159i | ||||
\(895\) | 46.9776 | + | 8.92490i | 1.57029 | + | 0.298327i | ||||
\(896\) | 4.27041 | − | 15.4843i | 0.142665 | − | 0.517294i | ||||
\(897\) | −11.0637 | − | 11.7050i | −0.369405 | − | 0.390819i | ||||
\(898\) | 1.68846 | − | 0.641279i | 0.0563447 | − | 0.0213998i | ||||
\(899\) | 43.5641 | + | 1.63656i | 1.45295 | + | 0.0545822i | ||||
\(900\) | −26.1802 | + | 7.04425i | −0.872675 | + | 0.234808i | ||||
\(901\) | 63.3768 | − | 52.1365i | 2.11139 | − | 1.73692i | ||||
\(902\) | −0.590060 | + | 0.608819i | −0.0196469 | + | 0.0202714i | ||||
\(903\) | −16.3836 | + | 3.32558i | −0.545214 | + | 0.110668i | ||||
\(904\) | −9.28026 | − | 6.88552i | −0.308657 | − | 0.229009i | ||||
\(905\) | 16.5943 | − | 6.54134i | 0.551614 | − | 0.217441i | ||||
\(906\) | −0.158865 | − | 0.368759i | −0.00527792 | − | 0.0122512i | ||||
\(907\) | 6.62890 | + | 38.8571i | 0.220109 | + | 1.29023i | 0.855405 | + | 0.517960i | \(0.173308\pi\) |
−0.635296 | + | 0.772269i | \(0.719122\pi\) | |||||||
\(908\) | −0.347661 | − | 18.5156i | −0.0115375 | − | 0.614461i | ||||
\(909\) | −5.39373 | − | 22.8761i | −0.178899 | − | 0.758751i | ||||
\(910\) | −5.12248 | − | 3.41694i | −0.169809 | − | 0.113271i | ||||
\(911\) | −6.38912 | + | 5.67126i | −0.211681 | + | 0.187897i | −0.763002 | − | 0.646396i | \(-0.776275\pi\) |
0.551321 | + | 0.834293i | \(0.314124\pi\) | |||||||
\(912\) | −0.276393 | − | 0.315332i | −0.00915229 | − | 0.0104417i | ||||
\(913\) | −8.67265 | − | 8.51134i | −0.287023 | − | 0.281684i | ||||
\(914\) | 1.30743 | + | 0.694238i | 0.0432458 | + | 0.0229634i | ||||
\(915\) | 0.0822876 | − | 13.1487i | 0.00272034 | − | 0.434682i | ||||
\(916\) | −35.1738 | − | 31.2217i | −1.16217 | − | 1.03160i | ||||
\(917\) | 4.40239 | + | 16.7795i | 0.145380 | + | 0.554108i | ||||
\(918\) | 3.02175 | − | 3.04072i | 0.0997325 | − | 0.100359i | ||||
\(919\) | 28.1222 | + | 41.5930i | 0.927667 | + | 1.37203i | 0.928222 | + | 0.372027i | \(0.121337\pi\) |
−0.000555212 | 1.00000i | \(0.500177\pi\) | ||||||||
\(920\) | −10.5801 | + | 5.78891i | −0.348816 | + | 0.190855i | ||||
\(921\) | 1.65027 | − | 10.4618i | 0.0543783 | − | 0.344727i | ||||
\(922\) | 1.22546 | − | 0.216961i | 0.0403585 | − | 0.00714523i | ||||
\(923\) | 12.6326 | + | 24.1542i | 0.415809 | + | 0.795045i | ||||
\(924\) | −6.68405 | + | 3.54921i | −0.219889 | + | 0.116760i | ||||
\(925\) | −0.425992 | − | 0.126136i | −0.0140065 | − | 0.00414733i | ||||
\(926\) | 0.592914 | − | 5.55205i | 0.0194844 | − | 0.182452i | ||||
\(927\) | −0.145593 | − | 2.58222i | −0.00478191 | − | 0.0848112i | ||||
\(928\) | 18.2334 | − | 2.75935i | 0.598540 | − | 0.0905802i | ||||
\(929\) | 0.0667092 | − | 3.55277i | 0.00218866 | − | 0.116563i | −0.997029 | − | 0.0770227i | \(-0.975459\pi\) |
0.999218 | − | 0.0395399i | \(-0.0125892\pi\) | |||||||
\(930\) | −1.85944 | + | 0.401726i | −0.0609733 | + | 0.0131731i | ||||
\(931\) | 0.105967 | − | 0.425514i | 0.00347292 | − | 0.0139457i | ||||
\(932\) | 6.27082 | − | 28.1699i | 0.205407 | − | 0.922737i | ||||
\(933\) | −11.9896 | − | 11.4755i | −0.392521 | − | 0.375692i | ||||
\(934\) | −1.44293 | − | 4.18963i | −0.0472142 | − | 0.137089i | ||||
\(935\) | −4.88977 | − | 30.9983i | −0.159912 | − | 1.01375i | ||||
\(936\) | 3.41114 | + | 4.42156i | 0.111496 | + | 0.144523i | ||||
\(937\) | −3.85448 | − | 8.36445i | −0.125920 | − | 0.273255i | 0.834913 | − | 0.550382i | \(-0.185518\pi\) |
−0.960833 | + | 0.277127i | \(0.910618\pi\) | |||||||
\(938\) | 3.78904 | − | 4.78632i | 0.123717 | − | 0.156279i | ||||
\(939\) | 8.70461 | − | 5.34544i | 0.284064 | − | 0.174442i | ||||
\(940\) | −38.5675 | + | 5.34376i | −1.25793 | + | 0.174294i | ||||
\(941\) | 8.19114 | + | 11.1856i | 0.267023 | + | 0.364639i | 0.919446 | − | 0.393216i | \(-0.128638\pi\) |
−0.652423 | + | 0.757855i | \(0.726247\pi\) | |||||||
\(942\) | −0.440318 | + | 0.617348i | −0.0143463 | + | 0.0201143i | ||||
\(943\) | 17.1165 | + | 8.81596i | 0.557390 | + | 0.287087i | ||||
\(944\) | −26.4975 | + | 25.3614i | −0.862421 | + | 0.825445i | ||||
\(945\) | −22.8549 | − | 37.7450i | −0.743469 | − | 1.22784i | ||||
\(946\) | −1.14982 | + | 1.21647i | −0.0373837 | + | 0.0395509i | ||||
\(947\) | −11.2166 | + | 26.9599i | −0.364491 | + | 0.876079i | 0.630507 | + | 0.776183i | \(0.282847\pi\) |
−0.994998 | + | 0.0998955i | \(0.968149\pi\) | |||||||
\(948\) | 13.8121 | − | 8.72185i | 0.448597 | − | 0.283272i | ||||
\(949\) | 21.5582 | + | 10.0984i | 0.699807 | + | 0.327808i | ||||
\(950\) | 0.0187380 | + | 0.129281i | 0.000607942 | + | 0.00419444i | ||||
\(951\) | −4.77341 | − | 6.69257i | −0.154788 | − | 0.217021i | ||||
\(952\) | −4.03267 | + | 12.2031i | −0.130700 | + | 0.395504i | ||||
\(953\) | −14.7463 | + | 33.0835i | −0.477678 | + | 1.07168i | 0.500844 | + | 0.865538i | \(0.333023\pi\) |
−0.978522 | + | 0.206142i | \(0.933909\pi\) | |||||||
\(954\) | −0.607049 | − | 5.08125i | −0.0196539 | − | 0.164511i | ||||
\(955\) | −54.9338 | + | 14.0460i | −1.77762 | + | 0.454518i | ||||
\(956\) | 16.4215 | + | 4.63966i | 0.531109 | + | 0.150057i | ||||
\(957\) | −9.10688 | − | 7.11711i | −0.294384 | − | 0.230064i | ||||
\(958\) | −2.73144 | + | 0.846104i | −0.0882487 | + | 0.0273364i | ||||
\(959\) | 52.6948 | − | 1.97956i | 1.70160 | − | 0.0639234i | ||||
\(960\) | 17.4547 | − | 7.39049i | 0.563350 | − | 0.238527i | ||||
\(961\) | 10.2499 | − | 1.68265i | 0.330641 | − | 0.0542790i | ||||
\(962\) | 0.00482630 | + | 0.0451935i | 0.000155606 | + | 0.00145710i | ||||
\(963\) | −1.59756 | + | 8.70576i | −0.0514805 | + | 0.280539i | ||||
\(964\) | −21.2389 | + | 38.2469i | −0.684058 | + | 1.23185i | ||||
\(965\) | −1.49228 | + | 7.59533i | −0.0480383 | + | 0.244502i | ||||
\(966\) | −1.62928 | − | 1.63951i | −0.0524213 | − | 0.0527504i | ||||
\(967\) | −1.89994 | + | 3.22828i | −0.0610980 | + | 0.103815i | −0.890808 | − | 0.454381i | \(-0.849861\pi\) |
0.829710 | + | 0.558195i | \(0.188506\pi\) | |||||||
\(968\) | 2.53075 | − | 4.99001i | 0.0813413 | − | 0.160385i | ||||
\(969\) | 0.422215 | + | 0.533343i | 0.0135635 | + | 0.0171334i | ||||
\(970\) | 3.98855 | + | 1.45800i | 0.128065 | + | 0.0468135i | ||||
\(971\) | 51.0641 | + | 1.27854i | 1.63873 | + | 0.0410302i | 0.833703 | − | 0.552213i | \(-0.186217\pi\) |
0.805023 | + | 0.593244i | \(0.202153\pi\) | |||||||
\(972\) | 6.72457 | + | 30.2083i | 0.215691 | + | 0.968932i | ||||
\(973\) | −9.40665 | + | 15.5351i | −0.301563 | + | 0.498034i | ||||
\(974\) | 0.190505 | + | 0.690761i | 0.00610417 | + | 0.0221334i | ||||
\(975\) | −1.32731 | − | 16.2788i | −0.0425079 | − | 0.521339i | ||||
\(976\) | −2.57365 | − | 19.4703i | −0.0823805 | − | 0.623230i | ||||
\(977\) | 4.88762 | − | 40.9114i | 0.156369 | − | 1.30887i | −0.668570 | − | 0.743649i | \(-0.733093\pi\) |
0.824939 | − | 0.565222i | \(-0.191210\pi\) | |||||||
\(978\) | −1.65466 | − | 0.987810i | −0.0529102 | − | 0.0315867i | ||||
\(979\) | 6.74259 | + | 10.5311i | 0.215494 | + | 0.336577i | ||||
\(980\) | 17.2402 | + | 10.8866i | 0.550719 | + | 0.347759i | ||||
\(981\) | −32.9442 | + | 23.1875i | −1.05183 | + | 0.740319i | ||||
\(982\) | −1.00825 | + | 2.51159i | −0.0321746 | + | 0.0801479i | ||||
\(983\) | 6.40604 | − | 22.1428i | 0.204321 | − | 0.706246i | −0.791188 | − | 0.611574i | \(-0.790537\pi\) |
0.995508 | − | 0.0946723i | \(-0.0301803\pi\) | |||||||
\(984\) | 1.44318 | + | 0.936786i | 0.0460070 | + | 0.0298636i | ||||
\(985\) | −20.4480 | − | 50.9365i | −0.651527 | − | 1.62297i | ||||
\(986\) | −9.69977 | + | 0.974502i | −0.308904 | + | 0.0310345i | ||||
\(987\) | −6.11686 | − | 13.7233i | −0.194702 | − | 0.436817i | ||||
\(988\) | −0.853185 | + | 0.509340i | −0.0271434 | + | 0.0162043i | ||||
\(989\) | 34.0082 | + | 16.9810i | 1.08140 | + | 0.539963i | ||||
\(990\) | −1.79230 | − | 0.785471i | −0.0569630 | − | 0.0249639i | ||||
\(991\) | 30.0711 | + | 18.4664i | 0.955240 | + | 0.586606i | 0.910996 | − | 0.412415i | \(-0.135315\pi\) |
0.0442436 | + | 0.999021i | \(0.485912\pi\) | |||||||
\(992\) | −8.18944 | + | 2.99362i | −0.260015 | + | 0.0950475i | ||||
\(993\) | −1.20097 | + | 0.405230i | −0.0381115 | + | 0.0128596i | ||||
\(994\) | 1.89909 | + | 3.41988i | 0.0602356 | + | 0.108472i | ||||
\(995\) | −30.4157 | + | 9.84059i | −0.964243 | + | 0.311968i | ||||
\(996\) | −6.73245 | + | 10.2310i | −0.213326 | + | 0.324182i | ||||
\(997\) | 4.74221 | − | 32.7185i | 0.150187 | − | 1.03620i | −0.768111 | − | 0.640316i | \(-0.778803\pi\) |
0.918299 | − | 0.395888i | \(-0.129563\pi\) | |||||||
\(998\) | −1.77097 | + | 0.912150i | −0.0560592 | + | 0.0288736i | ||||
\(999\) | −0.106059 | + | 0.307948i | −0.00335555 | + | 0.00974303i |
(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 | 503.2.c.a.2.20 | ✓ | 10250 | |
503.252 | even | 251 | inner | 503.2.c.a.252.20 | yes | 10250 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
503.2.c.a.2.20 | ✓ | 10250 | 1.1 | even | 1 | trivial | |
503.2.c.a.252.20 | yes | 10250 | 503.252 | even | 251 | inner |