Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(111,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.111");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.g (of order \(2\), degree \(1\), 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: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.342102016.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + x^{6} + 4x^{4} + 4x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 111.2 | ||
Root | \(-1.17915 - 0.780776i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 140.111 |
Dual form | 140.2.g.c.111.4 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.780776 | − | 1.17915i | −0.552092 | − | 0.833783i | ||||
\(3\) | 3.02045 | 1.74386 | 0.871928 | − | 0.489634i | \(-0.162870\pi\) | ||||
0.871928 | + | 0.489634i | \(0.162870\pi\) | |||||||
\(4\) | −0.780776 | + | 1.84130i | −0.390388 | + | 0.920650i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | −2.35829 | − | 3.56155i | −0.962770 | − | 1.45400i | ||||
\(7\) | −2.17238 | − | 1.51022i | −0.821081 | − | 0.570811i | ||||
\(8\) | 2.78078 | − | 0.516994i | 0.983153 | − | 0.182785i | ||||
\(9\) | 6.12311 | 2.04104 | ||||||||
\(10\) | −1.17915 | + | 0.780776i | −0.372879 | + | 0.246903i | ||||
\(11\) | 4.71659i | 1.42211i | 0.703139 | + | 0.711053i | \(0.251781\pi\) | ||||
−0.703139 | + | 0.711053i | \(0.748219\pi\) | |||||||
\(12\) | −2.35829 | + | 5.56155i | −0.680781 | + | 1.60548i | ||||
\(13\) | − | 2.00000i | − | 0.554700i | −0.960769 | − | 0.277350i | \(-0.910544\pi\) | ||
0.960769 | − | 0.277350i | \(-0.0894562\pi\) | |||||||
\(14\) | −0.0846354 | + | 3.74070i | −0.0226198 | + | 0.999744i | ||||
\(15\) | − | 3.02045i | − | 0.779876i | ||||||
\(16\) | −2.78078 | − | 2.87529i | −0.695194 | − | 0.718822i | ||||
\(17\) | − | 1.12311i | − | 0.272393i | −0.990682 | − | 0.136197i | \(-0.956512\pi\) | ||
0.990682 | − | 0.136197i | \(-0.0434879\pi\) | |||||||
\(18\) | −4.78078 | − | 7.22004i | −1.12684 | − | 1.70178i | ||||
\(19\) | −4.71659 | −1.08206 | −0.541030 | − | 0.841003i | \(-0.681965\pi\) | ||||
−0.541030 | + | 0.841003i | \(0.681965\pi\) | |||||||
\(20\) | 1.84130 | + | 0.780776i | 0.411727 | + | 0.174587i | ||||
\(21\) | −6.56155 | − | 4.56155i | −1.43185 | − | 0.995412i | ||||
\(22\) | 5.56155 | − | 3.68260i | 1.18573 | − | 0.785133i | ||||
\(23\) | 6.41273i | 1.33715i | 0.743646 | + | 0.668573i | \(0.233095\pi\) | ||||
−0.743646 | + | 0.668573i | \(0.766905\pi\) | |||||||
\(24\) | 8.39919 | − | 1.56155i | 1.71448 | − | 0.318751i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −2.35829 | + | 1.56155i | −0.462500 | + | 0.306246i | ||||
\(27\) | 9.43318 | 1.81542 | ||||||||
\(28\) | 4.47692 | − | 2.82085i | 0.846058 | − | 0.533091i | ||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | −3.56155 | + | 2.35829i | −0.650248 | + | 0.430564i | ||||
\(31\) | −3.39228 | −0.609272 | −0.304636 | − | 0.952469i | \(-0.598535\pi\) | ||||
−0.304636 | + | 0.952469i | \(0.598535\pi\) | |||||||
\(32\) | −1.21922 | + | 5.52390i | −0.215530 | + | 0.976497i | ||||
\(33\) | 14.2462i | 2.47995i | ||||||||
\(34\) | −1.32431 | + | 0.876894i | −0.227117 | + | 0.150386i | ||||
\(35\) | −1.51022 | + | 2.17238i | −0.255274 | + | 0.367199i | ||||
\(36\) | −4.78078 | + | 11.2745i | −0.796796 | + | 1.87908i | ||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 3.68260 | + | 5.56155i | 0.597397 | + | 0.902203i | ||||
\(39\) | − | 6.04090i | − | 0.967317i | ||||||
\(40\) | −0.516994 | − | 2.78078i | −0.0817439 | − | 0.439679i | ||||
\(41\) | 1.12311i | 0.175400i | 0.996147 | + | 0.0876998i | \(0.0279516\pi\) | ||||
−0.996147 | + | 0.0876998i | \(0.972048\pi\) | |||||||
\(42\) | −0.255637 | + | 11.2986i | −0.0394456 | + | 1.74341i | ||||
\(43\) | − | 0.371834i | − | 0.0567042i | −0.999598 | − | 0.0283521i | \(-0.990974\pi\) | ||
0.999598 | − | 0.0283521i | \(-0.00902596\pi\) | |||||||
\(44\) | −8.68466 | − | 3.68260i | −1.30926 | − | 0.555173i | ||||
\(45\) | − | 6.12311i | − | 0.912779i | ||||||
\(46\) | 7.56155 | − | 5.00691i | 1.11489 | − | 0.738228i | ||||
\(47\) | 5.08842 | 0.742223 | 0.371111 | − | 0.928588i | \(-0.378977\pi\) | ||||
0.371111 | + | 0.928588i | \(0.378977\pi\) | |||||||
\(48\) | −8.39919 | − | 8.68466i | −1.21232 | − | 1.25352i | ||||
\(49\) | 2.43845 | + | 6.56155i | 0.348350 | + | 0.937365i | ||||
\(50\) | 0.780776 | + | 1.17915i | 0.110418 | + | 0.166757i | ||||
\(51\) | − | 3.39228i | − | 0.475014i | ||||||
\(52\) | 3.68260 | + | 1.56155i | 0.510685 | + | 0.216548i | ||||
\(53\) | 2.00000 | 0.274721 | 0.137361 | − | 0.990521i | \(-0.456138\pi\) | ||||
0.137361 | + | 0.990521i | \(0.456138\pi\) | |||||||
\(54\) | −7.36520 | − | 11.1231i | −1.00228 | − | 1.51366i | ||||
\(55\) | 4.71659 | 0.635985 | ||||||||
\(56\) | −6.82167 | − | 3.07649i | −0.911584 | − | 0.411113i | ||||
\(57\) | −14.2462 | −1.88696 | ||||||||
\(58\) | 1.56155 | + | 2.35829i | 0.205042 | + | 0.309659i | ||||
\(59\) | −2.06798 | −0.269227 | −0.134614 | − | 0.990898i | \(-0.542979\pi\) | ||||
−0.134614 | + | 0.990898i | \(0.542979\pi\) | |||||||
\(60\) | 5.56155 | + | 2.35829i | 0.717993 | + | 0.304455i | ||||
\(61\) | − | 2.00000i | − | 0.256074i | −0.991769 | − | 0.128037i | \(-0.959132\pi\) | ||
0.991769 | − | 0.128037i | \(-0.0408676\pi\) | |||||||
\(62\) | 2.64861 | + | 4.00000i | 0.336374 | + | 0.508001i | ||||
\(63\) | −13.3017 | − | 9.24726i | −1.67586 | − | 1.16505i | ||||
\(64\) | 7.46543 | − | 2.87529i | 0.933179 | − | 0.359411i | ||||
\(65\) | −2.00000 | −0.248069 | ||||||||
\(66\) | 16.7984 | − | 11.1231i | 2.06774 | − | 1.36916i | ||||
\(67\) | − | 3.76412i | − | 0.459860i | −0.973207 | − | 0.229930i | \(-0.926150\pi\) | ||
0.973207 | − | 0.229930i | \(-0.0738497\pi\) | |||||||
\(68\) | 2.06798 | + | 0.876894i | 0.250779 | + | 0.106339i | ||||
\(69\) | 19.3693i | 2.33179i | ||||||||
\(70\) | 3.74070 | + | 0.0846354i | 0.447099 | + | 0.0101159i | ||||
\(71\) | − | 7.36520i | − | 0.874089i | −0.899440 | − | 0.437044i | \(-0.856025\pi\) | ||
0.899440 | − | 0.437044i | \(-0.143975\pi\) | |||||||
\(72\) | 17.0270 | − | 3.16561i | 2.00665 | − | 0.373070i | ||||
\(73\) | − | 15.3693i | − | 1.79884i | −0.437083 | − | 0.899421i | \(-0.643988\pi\) | ||
0.437083 | − | 0.899421i | \(-0.356012\pi\) | |||||||
\(74\) | −1.56155 | − | 2.35829i | −0.181527 | − | 0.274146i | ||||
\(75\) | −3.02045 | −0.348771 | ||||||||
\(76\) | 3.68260 | − | 8.68466i | 0.422423 | − | 0.996199i | ||||
\(77\) | 7.12311 | − | 10.2462i | 0.811753 | − | 1.16766i | ||||
\(78\) | −7.12311 | + | 4.71659i | −0.806533 | + | 0.534049i | ||||
\(79\) | 1.32431i | 0.148996i | 0.997221 | + | 0.0744981i | \(0.0237355\pi\) | ||||
−0.997221 | + | 0.0744981i | \(0.976265\pi\) | |||||||
\(80\) | −2.87529 | + | 2.78078i | −0.321467 | + | 0.310900i | ||||
\(81\) | 10.1231 | 1.12479 | ||||||||
\(82\) | 1.32431 | − | 0.876894i | 0.146245 | − | 0.0968368i | ||||
\(83\) | 3.02045 | 0.331537 | 0.165769 | − | 0.986165i | \(-0.446990\pi\) | ||||
0.165769 | + | 0.986165i | \(0.446990\pi\) | |||||||
\(84\) | 13.5223 | − | 8.52024i | 1.47540 | − | 0.929634i | ||||
\(85\) | −1.12311 | −0.121818 | ||||||||
\(86\) | −0.438447 | + | 0.290319i | −0.0472790 | + | 0.0313059i | ||||
\(87\) | −6.04090 | −0.647652 | ||||||||
\(88\) | 2.43845 | + | 13.1158i | 0.259939 | + | 1.39815i | ||||
\(89\) | − | 12.0000i | − | 1.27200i | −0.771690 | − | 0.635999i | \(-0.780588\pi\) | ||
0.771690 | − | 0.635999i | \(-0.219412\pi\) | |||||||
\(90\) | −7.22004 | + | 4.78078i | −0.761059 | + | 0.503938i | ||||
\(91\) | −3.02045 | + | 4.34475i | −0.316629 | + | 0.455454i | ||||
\(92\) | −11.8078 | − | 5.00691i | −1.23104 | − | 0.522006i | ||||
\(93\) | −10.2462 | −1.06248 | ||||||||
\(94\) | −3.97292 | − | 6.00000i | −0.409775 | − | 0.618853i | ||||
\(95\) | 4.71659i | 0.483912i | ||||||||
\(96\) | −3.68260 | + | 16.6847i | −0.375854 | + | 1.70287i | ||||
\(97\) | 1.12311i | 0.114034i | 0.998373 | + | 0.0570170i | \(0.0181589\pi\) | ||||
−0.998373 | + | 0.0570170i | \(0.981841\pi\) | |||||||
\(98\) | 5.83315 | − | 7.99839i | 0.589238 | − | 0.807960i | ||||
\(99\) | 28.8802i | 2.90257i | ||||||||
\(100\) | 0.780776 | − | 1.84130i | 0.0780776 | − | 0.184130i | ||||
\(101\) | 15.1231i | 1.50481i | 0.658703 | + | 0.752403i | \(0.271105\pi\) | ||||
−0.658703 | + | 0.752403i | \(0.728895\pi\) | |||||||
\(102\) | −4.00000 | + | 2.64861i | −0.396059 | + | 0.262252i | ||||
\(103\) | −7.73704 | −0.762353 | −0.381176 | − | 0.924502i | \(-0.624481\pi\) | ||||
−0.381176 | + | 0.924502i | \(0.624481\pi\) | |||||||
\(104\) | −1.03399 | − | 5.56155i | −0.101391 | − | 0.545355i | ||||
\(105\) | −4.56155 | + | 6.56155i | −0.445162 | + | 0.640342i | ||||
\(106\) | −1.56155 | − | 2.35829i | −0.151671 | − | 0.229058i | ||||
\(107\) | − | 5.66906i | − | 0.548049i | −0.961723 | − | 0.274024i | \(-0.911645\pi\) | ||
0.961723 | − | 0.274024i | \(-0.0883549\pi\) | |||||||
\(108\) | −7.36520 | + | 17.3693i | −0.708717 | + | 1.67136i | ||||
\(109\) | −7.12311 | −0.682270 | −0.341135 | − | 0.940014i | \(-0.610811\pi\) | ||||
−0.341135 | + | 0.940014i | \(0.610811\pi\) | |||||||
\(110\) | −3.68260 | − | 5.56155i | −0.351122 | − | 0.530273i | ||||
\(111\) | 6.04090 | 0.573376 | ||||||||
\(112\) | 1.69857 | + | 10.4458i | 0.160499 | + | 0.987036i | ||||
\(113\) | 18.4924 | 1.73962 | 0.869810 | − | 0.493386i | \(-0.164241\pi\) | ||||
0.869810 | + | 0.493386i | \(0.164241\pi\) | |||||||
\(114\) | 11.1231 | + | 16.7984i | 1.04177 | + | 1.57331i | ||||
\(115\) | 6.41273 | 0.597990 | ||||||||
\(116\) | 1.56155 | − | 3.68260i | 0.144987 | − | 0.341921i | ||||
\(117\) | − | 12.2462i | − | 1.13216i | ||||||
\(118\) | 1.61463 | + | 2.43845i | 0.148638 | + | 0.224477i | ||||
\(119\) | −1.69614 | + | 2.43981i | −0.155485 | + | 0.223657i | ||||
\(120\) | −1.56155 | − | 8.39919i | −0.142550 | − | 0.766738i | ||||
\(121\) | −11.2462 | −1.02238 | ||||||||
\(122\) | −2.35829 | + | 1.56155i | −0.213510 | + | 0.141376i | ||||
\(123\) | 3.39228i | 0.305872i | ||||||||
\(124\) | 2.64861 | − | 6.24621i | 0.237853 | − | 0.560926i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −0.518231 | + | 22.9047i | −0.0461677 | + | 2.04051i | ||||
\(127\) | − | 17.7509i | − | 1.57513i | −0.616229 | − | 0.787567i | \(-0.711341\pi\) | ||
0.616229 | − | 0.787567i | \(-0.288659\pi\) | |||||||
\(128\) | −9.21922 | − | 6.55789i | −0.814872 | − | 0.579641i | ||||
\(129\) | − | 1.12311i | − | 0.0988839i | ||||||
\(130\) | 1.56155 | + | 2.35829i | 0.136957 | + | 0.206836i | ||||
\(131\) | 17.5420 | 1.53266 | 0.766328 | − | 0.642450i | \(-0.222082\pi\) | ||||
0.766328 | + | 0.642450i | \(0.222082\pi\) | |||||||
\(132\) | −26.2316 | − | 11.1231i | −2.28316 | − | 0.968142i | ||||
\(133\) | 10.2462 | + | 7.12311i | 0.888459 | + | 0.617652i | ||||
\(134\) | −4.43845 | + | 2.93893i | −0.383423 | + | 0.253885i | ||||
\(135\) | − | 9.43318i | − | 0.811879i | ||||||
\(136\) | −0.580639 | − | 3.12311i | −0.0497894 | − | 0.267804i | ||||
\(137\) | −14.0000 | −1.19610 | −0.598050 | − | 0.801459i | \(-0.704058\pi\) | ||||
−0.598050 | + | 0.801459i | \(0.704058\pi\) | |||||||
\(138\) | 22.8393 | − | 15.1231i | 1.94421 | − | 1.28736i | ||||
\(139\) | 16.7984 | 1.42482 | 0.712410 | − | 0.701763i | \(-0.247604\pi\) | ||||
0.712410 | + | 0.701763i | \(0.247604\pi\) | |||||||
\(140\) | −2.82085 | − | 4.47692i | −0.238406 | − | 0.378369i | ||||
\(141\) | 15.3693 | 1.29433 | ||||||||
\(142\) | −8.68466 | + | 5.75058i | −0.728800 | + | 0.482578i | ||||
\(143\) | 9.43318 | 0.788842 | ||||||||
\(144\) | −17.0270 | − | 17.6057i | −1.41892 | − | 1.46714i | ||||
\(145\) | 2.00000i | 0.166091i | ||||||||
\(146\) | −18.1227 | + | 12.0000i | −1.49984 | + | 0.993127i | ||||
\(147\) | 7.36520 | + | 19.8188i | 0.607472 | + | 1.63463i | ||||
\(148\) | −1.56155 | + | 3.68260i | −0.128359 | + | 0.302708i | ||||
\(149\) | 5.36932 | 0.439872 | 0.219936 | − | 0.975514i | \(-0.429415\pi\) | ||||
0.219936 | + | 0.975514i | \(0.429415\pi\) | |||||||
\(150\) | 2.35829 | + | 3.56155i | 0.192554 | + | 0.290800i | ||||
\(151\) | − | 10.0138i | − | 0.814913i | −0.913225 | − | 0.407456i | \(-0.866416\pi\) | ||
0.913225 | − | 0.407456i | \(-0.133584\pi\) | |||||||
\(152\) | −13.1158 | + | 2.43845i | −1.06383 | + | 0.197784i | ||||
\(153\) | − | 6.87689i | − | 0.555964i | ||||||
\(154\) | −17.6433 | − | 0.399190i | −1.42174 | − | 0.0321677i | ||||
\(155\) | 3.39228i | 0.272475i | ||||||||
\(156\) | 11.1231 | + | 4.71659i | 0.890561 | + | 0.377629i | ||||
\(157\) | 0.246211i | 0.0196498i | 0.999952 | + | 0.00982490i | \(0.00312741\pi\) | ||||
−0.999952 | + | 0.00982490i | \(0.996873\pi\) | |||||||
\(158\) | 1.56155 | − | 1.03399i | 0.124230 | − | 0.0822596i | ||||
\(159\) | 6.04090 | 0.479074 | ||||||||
\(160\) | 5.52390 | + | 1.21922i | 0.436703 | + | 0.0963881i | ||||
\(161\) | 9.68466 | − | 13.9309i | 0.763258 | − | 1.09791i | ||||
\(162\) | −7.90388 | − | 11.9366i | −0.620988 | − | 0.937830i | ||||
\(163\) | 3.02045i | 0.236580i | 0.992979 | + | 0.118290i | \(0.0377412\pi\) | ||||
−0.992979 | + | 0.118290i | \(0.962259\pi\) | |||||||
\(164\) | −2.06798 | − | 0.876894i | −0.161482 | − | 0.0684739i | ||||
\(165\) | 14.2462 | 1.10907 | ||||||||
\(166\) | −2.35829 | − | 3.56155i | −0.183039 | − | 0.276430i | ||||
\(167\) | −19.8188 | −1.53363 | −0.766813 | − | 0.641870i | \(-0.778159\pi\) | ||||
−0.766813 | + | 0.641870i | \(0.778159\pi\) | |||||||
\(168\) | −20.6045 | − | 9.29238i | −1.58967 | − | 0.716922i | ||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | 0.876894 | + | 1.32431i | 0.0672547 | + | 0.101570i | ||||
\(171\) | −28.8802 | −2.20852 | ||||||||
\(172\) | 0.684658 | + | 0.290319i | 0.0522047 | + | 0.0221366i | ||||
\(173\) | 16.2462i | 1.23518i | 0.786502 | + | 0.617588i | \(0.211890\pi\) | ||||
−0.786502 | + | 0.617588i | \(0.788110\pi\) | |||||||
\(174\) | 4.71659 | + | 7.12311i | 0.357564 | + | 0.540001i | ||||
\(175\) | 2.17238 | + | 1.51022i | 0.164216 | + | 0.114162i | ||||
\(176\) | 13.5616 | − | 13.1158i | 1.02224 | − | 0.988639i | ||||
\(177\) | −6.24621 | −0.469494 | ||||||||
\(178\) | −14.1498 | + | 9.36932i | −1.06057 | + | 0.702260i | ||||
\(179\) | − | 10.7575i | − | 0.804052i | −0.915628 | − | 0.402026i | \(-0.868306\pi\) | ||
0.915628 | − | 0.402026i | \(-0.131694\pi\) | |||||||
\(180\) | 11.2745 | + | 4.78078i | 0.840350 | + | 0.356338i | ||||
\(181\) | 15.1231i | 1.12409i | 0.827106 | + | 0.562046i | \(0.189986\pi\) | ||||
−0.827106 | + | 0.562046i | \(0.810014\pi\) | |||||||
\(182\) | 7.48140 | + | 0.169271i | 0.554558 | + | 0.0125472i | ||||
\(183\) | − | 6.04090i | − | 0.446556i | ||||||
\(184\) | 3.31534 | + | 17.8324i | 0.244410 | + | 1.31462i | ||||
\(185\) | − | 2.00000i | − | 0.147043i | ||||||
\(186\) | 8.00000 | + | 12.0818i | 0.586588 | + | 0.885880i | ||||
\(187\) | 5.29723 | 0.387372 | ||||||||
\(188\) | −3.97292 | + | 9.36932i | −0.289755 | + | 0.683328i | ||||
\(189\) | −20.4924 | − | 14.2462i | −1.49060 | − | 1.03626i | ||||
\(190\) | 5.56155 | − | 3.68260i | 0.403477 | − | 0.267164i | ||||
\(191\) | 16.7984i | 1.21549i | 0.794133 | + | 0.607744i | \(0.207925\pi\) | ||||
−0.794133 | + | 0.607744i | \(0.792075\pi\) | |||||||
\(192\) | 22.5490 | − | 8.68466i | 1.62733 | − | 0.626761i | ||||
\(193\) | −22.4924 | −1.61904 | −0.809520 | − | 0.587092i | \(-0.800273\pi\) | ||||
−0.809520 | + | 0.587092i | \(0.800273\pi\) | |||||||
\(194\) | 1.32431 | − | 0.876894i | 0.0950797 | − | 0.0629573i | ||||
\(195\) | −6.04090 | −0.432598 | ||||||||
\(196\) | −13.9857 | − | 0.633191i | −0.998977 | − | 0.0452279i | ||||
\(197\) | 18.0000 | 1.28245 | 0.641223 | − | 0.767354i | \(-0.278427\pi\) | ||||
0.641223 | + | 0.767354i | \(0.278427\pi\) | |||||||
\(198\) | 34.0540 | − | 22.5490i | 2.42011 | − | 1.60248i | ||||
\(199\) | −26.8122 | −1.90067 | −0.950333 | − | 0.311235i | \(-0.899258\pi\) | ||||
−0.950333 | + | 0.311235i | \(0.899258\pi\) | |||||||
\(200\) | −2.78078 | + | 0.516994i | −0.196631 | + | 0.0365570i | ||||
\(201\) | − | 11.3693i | − | 0.801930i | ||||||
\(202\) | 17.8324 | − | 11.8078i | 1.25468 | − | 0.830791i | ||||
\(203\) | 4.34475 | + | 3.02045i | 0.304942 | + | 0.211994i | ||||
\(204\) | 6.24621 | + | 2.64861i | 0.437322 | + | 0.185440i | ||||
\(205\) | 1.12311 | 0.0784411 | ||||||||
\(206\) | 6.04090 | + | 9.12311i | 0.420889 | + | 0.635637i | ||||
\(207\) | 39.2658i | 2.72916i | ||||||||
\(208\) | −5.75058 | + | 5.56155i | −0.398731 | + | 0.385624i | ||||
\(209\) | − | 22.2462i | − | 1.53880i | ||||||
\(210\) | 11.2986 | + | 0.255637i | 0.779677 | + | 0.0176406i | ||||
\(211\) | 22.0956i | 1.52112i | 0.649265 | + | 0.760562i | \(0.275077\pi\) | ||||
−0.649265 | + | 0.760562i | \(0.724923\pi\) | |||||||
\(212\) | −1.56155 | + | 3.68260i | −0.107248 | + | 0.252922i | ||||
\(213\) | − | 22.2462i | − | 1.52429i | ||||||
\(214\) | −6.68466 | + | 4.42627i | −0.456954 | + | 0.302574i | ||||
\(215\) | −0.371834 | −0.0253589 | ||||||||
\(216\) | 26.2316 | − | 4.87689i | 1.78483 | − | 0.331831i | ||||
\(217\) | 7.36932 | + | 5.12311i | 0.500262 | + | 0.347779i | ||||
\(218\) | 5.56155 | + | 8.39919i | 0.376676 | + | 0.568865i | ||||
\(219\) | − | 46.4222i | − | 3.13692i | ||||||
\(220\) | −3.68260 | + | 8.68466i | −0.248281 | + | 0.585520i | ||||
\(221\) | −2.24621 | −0.151097 | ||||||||
\(222\) | −4.71659 | − | 7.12311i | −0.316557 | − | 0.478072i | ||||
\(223\) | 20.5625 | 1.37697 | 0.688483 | − | 0.725252i | \(-0.258277\pi\) | ||||
0.688483 | + | 0.725252i | \(0.258277\pi\) | |||||||
\(224\) | 10.9909 | − | 10.1587i | 0.734363 | − | 0.678757i | ||||
\(225\) | −6.12311 | −0.408207 | ||||||||
\(226\) | −14.4384 | − | 21.8053i | −0.960431 | − | 1.45047i | ||||
\(227\) | −3.76412 | −0.249833 | −0.124917 | − | 0.992167i | \(-0.539866\pi\) | ||||
−0.124917 | + | 0.992167i | \(0.539866\pi\) | |||||||
\(228\) | 11.1231 | − | 26.2316i | 0.736646 | − | 1.73723i | ||||
\(229\) | 12.8769i | 0.850929i | 0.904975 | + | 0.425465i | \(0.139889\pi\) | ||||
−0.904975 | + | 0.425465i | \(0.860111\pi\) | |||||||
\(230\) | −5.00691 | − | 7.56155i | −0.330146 | − | 0.498594i | ||||
\(231\) | 21.5150 | − | 30.9481i | 1.41558 | − | 2.03624i | ||||
\(232\) | −5.56155 | + | 1.03399i | −0.365134 | + | 0.0678846i | ||||
\(233\) | 7.75379 | 0.507968 | 0.253984 | − | 0.967208i | \(-0.418259\pi\) | ||||
0.253984 | + | 0.967208i | \(0.418259\pi\) | |||||||
\(234\) | −14.4401 | + | 9.56155i | −0.943978 | + | 0.625058i | ||||
\(235\) | − | 5.08842i | − | 0.331932i | ||||||
\(236\) | 1.61463 | − | 3.80776i | 0.105103 | − | 0.247864i | ||||
\(237\) | 4.00000i | 0.259828i | ||||||||
\(238\) | 4.20120 | + | 0.0950545i | 0.272323 | + | 0.00616147i | ||||
\(239\) | 3.97292i | 0.256987i | 0.991710 | + | 0.128493i | \(0.0410141\pi\) | ||||
−0.991710 | + | 0.128493i | \(0.958986\pi\) | |||||||
\(240\) | −8.68466 | + | 8.39919i | −0.560592 | + | 0.542165i | ||||
\(241\) | 25.6155i | 1.65004i | 0.565103 | + | 0.825021i | \(0.308837\pi\) | ||||
−0.565103 | + | 0.825021i | \(0.691163\pi\) | |||||||
\(242\) | 8.78078 | + | 13.2609i | 0.564450 | + | 0.852445i | ||||
\(243\) | 2.27678 | 0.146055 | ||||||||
\(244\) | 3.68260 | + | 1.56155i | 0.235754 | + | 0.0999682i | ||||
\(245\) | 6.56155 | − | 2.43845i | 0.419202 | − | 0.155787i | ||||
\(246\) | 4.00000 | − | 2.64861i | 0.255031 | − | 0.168869i | ||||
\(247\) | 9.43318i | 0.600219i | ||||||||
\(248\) | −9.43318 | + | 1.75379i | −0.599007 | + | 0.111366i | ||||
\(249\) | 9.12311 | 0.578153 | ||||||||
\(250\) | 1.17915 | − | 0.780776i | 0.0745758 | − | 0.0493806i | ||||
\(251\) | −16.0547 | −1.01336 | −0.506682 | − | 0.862133i | \(-0.669128\pi\) | ||||
−0.506682 | + | 0.862133i | \(0.669128\pi\) | |||||||
\(252\) | 27.4126 | − | 17.2724i | 1.72683 | − | 1.08806i | ||||
\(253\) | −30.2462 | −1.90156 | ||||||||
\(254\) | −20.9309 | + | 13.8594i | −1.31332 | + | 0.869619i | ||||
\(255\) | −3.39228 | −0.212433 | ||||||||
\(256\) | −0.534565 | + | 15.9911i | −0.0334103 | + | 0.999442i | ||||
\(257\) | 11.3693i | 0.709199i | 0.935018 | + | 0.354599i | \(0.115383\pi\) | ||||
−0.935018 | + | 0.354599i | \(0.884617\pi\) | |||||||
\(258\) | −1.32431 | + | 0.876894i | −0.0824477 | + | 0.0545931i | ||||
\(259\) | −4.34475 | − | 3.02045i | −0.269970 | − | 0.187682i | ||||
\(260\) | 1.56155 | − | 3.68260i | 0.0968434 | − | 0.228385i | ||||
\(261\) | −12.2462 | −0.758021 | ||||||||
\(262\) | −13.6964 | − | 20.6847i | −0.846168 | − | 1.27790i | ||||
\(263\) | − | 18.4945i | − | 1.14042i | −0.821499 | − | 0.570211i | \(-0.806862\pi\) | ||
0.821499 | − | 0.570211i | \(-0.193138\pi\) | |||||||
\(264\) | 7.36520 | + | 39.6155i | 0.453297 | + | 2.43817i | ||||
\(265\) | − | 2.00000i | − | 0.122859i | ||||||
\(266\) | 0.399190 | − | 17.6433i | 0.0244759 | − | 1.08178i | ||||
\(267\) | − | 36.2454i | − | 2.21818i | ||||||
\(268\) | 6.93087 | + | 2.93893i | 0.423370 | + | 0.179524i | ||||
\(269\) | 0.246211i | 0.0150118i | 0.999972 | + | 0.00750588i | \(0.00238922\pi\) | ||||
−0.999972 | + | 0.00750588i | \(0.997611\pi\) | |||||||
\(270\) | −11.1231 | + | 7.36520i | −0.676931 | + | 0.448232i | ||||
\(271\) | 1.90495 | 0.115717 | 0.0578586 | − | 0.998325i | \(-0.481573\pi\) | ||||
0.0578586 | + | 0.998325i | \(0.481573\pi\) | |||||||
\(272\) | −3.22925 | + | 3.12311i | −0.195802 | + | 0.189366i | ||||
\(273\) | −9.12311 | + | 13.1231i | −0.552155 | + | 0.794246i | ||||
\(274\) | 10.9309 | + | 16.5081i | 0.660358 | + | 0.997288i | ||||
\(275\) | − | 4.71659i | − | 0.284421i | ||||||
\(276\) | −35.6647 | − | 15.1231i | −2.14676 | − | 0.910304i | ||||
\(277\) | 12.2462 | 0.735804 | 0.367902 | − | 0.929865i | \(-0.380076\pi\) | ||||
0.367902 | + | 0.929865i | \(0.380076\pi\) | |||||||
\(278\) | −13.1158 | − | 19.8078i | −0.786632 | − | 1.18799i | ||||
\(279\) | −20.7713 | −1.24355 | ||||||||
\(280\) | −3.07649 | + | 6.82167i | −0.183855 | + | 0.407673i | ||||
\(281\) | −29.3693 | −1.75203 | −0.876013 | − | 0.482287i | \(-0.839806\pi\) | ||||
−0.876013 | + | 0.482287i | \(0.839806\pi\) | |||||||
\(282\) | −12.0000 | − | 18.1227i | −0.714590 | − | 1.07919i | ||||
\(283\) | −4.92539 | −0.292784 | −0.146392 | − | 0.989227i | \(-0.546766\pi\) | ||||
−0.146392 | + | 0.989227i | \(0.546766\pi\) | |||||||
\(284\) | 13.5616 | + | 5.75058i | 0.804730 | + | 0.341234i | ||||
\(285\) | 14.2462i | 0.843873i | ||||||||
\(286\) | −7.36520 | − | 11.1231i | −0.435514 | − | 0.657723i | ||||
\(287\) | 1.69614 | − | 2.43981i | 0.100120 | − | 0.144017i | ||||
\(288\) | −7.46543 | + | 33.8234i | −0.439905 | + | 1.99307i | ||||
\(289\) | 15.7386 | 0.925802 | ||||||||
\(290\) | 2.35829 | − | 1.56155i | 0.138484 | − | 0.0916975i | ||||
\(291\) | 3.39228i | 0.198859i | ||||||||
\(292\) | 28.2995 | + | 12.0000i | 1.65610 | + | 0.702247i | ||||
\(293\) | 15.7538i | 0.920346i | 0.887829 | + | 0.460173i | \(0.152213\pi\) | ||||
−0.887829 | + | 0.460173i | \(0.847787\pi\) | |||||||
\(294\) | 17.6187 | − | 24.1587i | 1.02755 | − | 1.40897i | ||||
\(295\) | 2.06798i | 0.120402i | ||||||||
\(296\) | 5.56155 | − | 1.03399i | 0.323259 | − | 0.0600993i | ||||
\(297\) | 44.4924i | 2.58171i | ||||||||
\(298\) | −4.19224 | − | 6.33122i | −0.242850 | − | 0.366757i | ||||
\(299\) | 12.8255 | 0.741715 | ||||||||
\(300\) | 2.35829 | − | 5.56155i | 0.136156 | − | 0.321096i | ||||
\(301\) | −0.561553 | + | 0.807764i | −0.0323674 | + | 0.0465587i | ||||
\(302\) | −11.8078 | + | 7.81855i | −0.679460 | + | 0.449907i | ||||
\(303\) | 45.6786i | 2.62416i | ||||||||
\(304\) | 13.1158 | + | 13.5616i | 0.752242 | + | 0.777808i | ||||
\(305\) | −2.00000 | −0.114520 | ||||||||
\(306\) | −8.10887 | + | 5.36932i | −0.463553 | + | 0.306943i | ||||
\(307\) | 1.53311 | 0.0874993 | 0.0437496 | − | 0.999043i | \(-0.486070\pi\) | ||||
0.0437496 | + | 0.999043i | \(0.486070\pi\) | |||||||
\(308\) | 13.3048 | + | 21.1158i | 0.758112 | + | 1.20318i | ||||
\(309\) | −23.3693 | −1.32943 | ||||||||
\(310\) | 4.00000 | − | 2.64861i | 0.227185 | − | 0.150431i | ||||
\(311\) | 30.2045 | 1.71274 | 0.856369 | − | 0.516364i | \(-0.172715\pi\) | ||||
0.856369 | + | 0.516364i | \(0.172715\pi\) | |||||||
\(312\) | −3.12311 | − | 16.7984i | −0.176811 | − | 0.951021i | ||||
\(313\) | − | 33.6155i | − | 1.90006i | −0.312156 | − | 0.950031i | \(-0.601051\pi\) | ||
0.312156 | − | 0.950031i | \(-0.398949\pi\) | |||||||
\(314\) | 0.290319 | − | 0.192236i | 0.0163837 | − | 0.0108485i | ||||
\(315\) | −9.24726 | + | 13.3017i | −0.521024 | + | 0.749466i | ||||
\(316\) | −2.43845 | − | 1.03399i | −0.137173 | − | 0.0581663i | ||||
\(317\) | 12.2462 | 0.687816 | 0.343908 | − | 0.939003i | \(-0.388249\pi\) | ||||
0.343908 | + | 0.939003i | \(0.388249\pi\) | |||||||
\(318\) | −4.71659 | − | 7.12311i | −0.264493 | − | 0.399444i | ||||
\(319\) | − | 9.43318i | − | 0.528157i | ||||||
\(320\) | −2.87529 | − | 7.46543i | −0.160734 | − | 0.417330i | ||||
\(321\) | − | 17.1231i | − | 0.955719i | ||||||
\(322\) | −23.9881 | − | 0.542744i | −1.33680 | − | 0.0302459i | ||||
\(323\) | 5.29723i | 0.294746i | ||||||||
\(324\) | −7.90388 | + | 18.6397i | −0.439105 | + | 1.03554i | ||||
\(325\) | 2.00000i | 0.110940i | ||||||||
\(326\) | 3.56155 | − | 2.35829i | 0.197256 | − | 0.130614i | ||||
\(327\) | −21.5150 | −1.18978 | ||||||||
\(328\) | 0.580639 | + | 3.12311i | 0.0320604 | + | 0.172445i | ||||
\(329\) | −11.0540 | − | 7.68466i | −0.609425 | − | 0.423669i | ||||
\(330\) | −11.1231 | − | 16.7984i | −0.612307 | − | 0.924720i | ||||
\(331\) | 18.2857i | 1.00507i | 0.864556 | + | 0.502537i | \(0.167600\pi\) | ||||
−0.864556 | + | 0.502537i | \(0.832400\pi\) | |||||||
\(332\) | −2.35829 | + | 5.56155i | −0.129428 | + | 0.305230i | ||||
\(333\) | 12.2462 | 0.671088 | ||||||||
\(334\) | 15.4741 | + | 23.3693i | 0.846704 | + | 1.27871i | ||||
\(335\) | −3.76412 | −0.205656 | ||||||||
\(336\) | 5.13043 | + | 31.5510i | 0.279888 | + | 1.72125i | ||||
\(337\) | −12.2462 | −0.667094 | −0.333547 | − | 0.942734i | \(-0.608246\pi\) | ||||
−0.333547 | + | 0.942734i | \(0.608246\pi\) | |||||||
\(338\) | −7.02699 | − | 10.6123i | −0.382218 | − | 0.577234i | ||||
\(339\) | 55.8554 | 3.03365 | ||||||||
\(340\) | 0.876894 | − | 2.06798i | 0.0475563 | − | 0.112152i | ||||
\(341\) | − | 16.0000i | − | 0.866449i | ||||||
\(342\) | 22.5490 | + | 34.0540i | 1.21931 | + | 1.84143i | ||||
\(343\) | 4.61219 | − | 17.9368i | 0.249035 | − | 0.968495i | ||||
\(344\) | −0.192236 | − | 1.03399i | −0.0103647 | − | 0.0557489i | ||||
\(345\) | 19.3693 | 1.04281 | ||||||||
\(346\) | 19.1567 | − | 12.6847i | 1.02987 | − | 0.681931i | ||||
\(347\) | − | 5.66906i | − | 0.304331i | −0.988355 | − | 0.152166i | \(-0.951375\pi\) | ||
0.988355 | − | 0.152166i | \(-0.0486247\pi\) | |||||||
\(348\) | 4.71659 | − | 11.1231i | 0.252836 | − | 0.596261i | ||||
\(349\) | − | 29.8617i | − | 1.59846i | −0.601024 | − | 0.799231i | \(-0.705240\pi\) | ||
0.601024 | − | 0.799231i | \(-0.294760\pi\) | |||||||
\(350\) | 0.0846354 | − | 3.74070i | 0.00452395 | − | 0.199949i | ||||
\(351\) | − | 18.8664i | − | 1.00701i | ||||||
\(352\) | −26.0540 | − | 5.75058i | −1.38868 | − | 0.306507i | ||||
\(353\) | 19.3693i | 1.03092i | 0.856912 | + | 0.515462i | \(0.172380\pi\) | ||||
−0.856912 | + | 0.515462i | \(0.827620\pi\) | |||||||
\(354\) | 4.87689 | + | 7.36520i | 0.259204 | + | 0.391456i | ||||
\(355\) | −7.36520 | −0.390904 | ||||||||
\(356\) | 22.0956 | + | 9.36932i | 1.17106 | + | 0.496573i | ||||
\(357\) | −5.12311 | + | 7.36932i | −0.271144 | + | 0.390026i | ||||
\(358\) | −12.6847 | + | 8.39919i | −0.670405 | + | 0.443911i | ||||
\(359\) | 16.0547i | 0.847335i | 0.905818 | + | 0.423668i | \(0.139258\pi\) | ||||
−0.905818 | + | 0.423668i | \(0.860742\pi\) | |||||||
\(360\) | −3.16561 | − | 17.0270i | −0.166842 | − | 0.897401i | ||||
\(361\) | 3.24621 | 0.170853 | ||||||||
\(362\) | 17.8324 | − | 11.8078i | 0.937248 | − | 0.620602i | ||||
\(363\) | −33.9686 | −1.78289 | ||||||||
\(364\) | −5.64171 | − | 8.95383i | −0.295706 | − | 0.469308i | ||||
\(365\) | −15.3693 | −0.804467 | ||||||||
\(366\) | −7.12311 | + | 4.71659i | −0.372331 | + | 0.246540i | ||||
\(367\) | −10.3857 | −0.542127 | −0.271063 | − | 0.962562i | \(-0.587375\pi\) | ||||
−0.271063 | + | 0.962562i | \(0.587375\pi\) | |||||||
\(368\) | 18.4384 | − | 17.8324i | 0.961171 | − | 0.929576i | ||||
\(369\) | 6.87689i | 0.357997i | ||||||||
\(370\) | −2.35829 | + | 1.56155i | −0.122602 | + | 0.0811813i | ||||
\(371\) | −4.34475 | − | 3.02045i | −0.225568 | − | 0.156814i | ||||
\(372\) | 8.00000 | − | 18.8664i | 0.414781 | − | 0.978175i | ||||
\(373\) | −10.4924 | −0.543277 | −0.271639 | − | 0.962399i | \(-0.587566\pi\) | ||||
−0.271639 | + | 0.962399i | \(0.587566\pi\) | |||||||
\(374\) | −4.13595 | − | 6.24621i | −0.213865 | − | 0.322984i | ||||
\(375\) | 3.02045i | 0.155975i | ||||||||
\(376\) | 14.1498 | − | 2.63068i | 0.729719 | − | 0.135667i | ||||
\(377\) | 4.00000i | 0.206010i | ||||||||
\(378\) | −0.798381 | + | 35.2867i | −0.0410643 | + | 1.81495i | ||||
\(379\) | 14.8934i | 0.765024i | 0.923950 | + | 0.382512i | \(0.124941\pi\) | ||||
−0.923950 | + | 0.382512i | \(0.875059\pi\) | |||||||
\(380\) | −8.68466 | − | 3.68260i | −0.445514 | − | 0.188913i | ||||
\(381\) | − | 53.6155i | − | 2.74681i | ||||||
\(382\) | 19.8078 | − | 13.1158i | 1.01345 | − | 0.671062i | ||||
\(383\) | −19.0752 | −0.974695 | −0.487348 | − | 0.873208i | \(-0.662036\pi\) | ||||
−0.487348 | + | 0.873208i | \(0.662036\pi\) | |||||||
\(384\) | −27.8462 | − | 19.8078i | −1.42102 | − | 1.01081i | ||||
\(385\) | −10.2462 | − | 7.12311i | −0.522195 | − | 0.363027i | ||||
\(386\) | 17.5616 | + | 26.5219i | 0.893860 | + | 1.34993i | ||||
\(387\) | − | 2.27678i | − | 0.115735i | ||||||
\(388\) | −2.06798 | − | 0.876894i | −0.104986 | − | 0.0445176i | ||||
\(389\) | −7.12311 | −0.361156 | −0.180578 | − | 0.983561i | \(-0.557797\pi\) | ||||
−0.180578 | + | 0.983561i | \(0.557797\pi\) | |||||||
\(390\) | 4.71659 | + | 7.12311i | 0.238834 | + | 0.360692i | ||||
\(391\) | 7.20217 | 0.364230 | ||||||||
\(392\) | 10.1731 | + | 16.9855i | 0.513817 | + | 0.857900i | ||||
\(393\) | 52.9848 | 2.67273 | ||||||||
\(394\) | −14.0540 | − | 21.2247i | −0.708029 | − | 1.06928i | ||||
\(395\) | 1.32431 | 0.0666331 | ||||||||
\(396\) | −53.1771 | − | 22.5490i | −2.67225 | − | 1.13313i | ||||
\(397\) | 14.0000i | 0.702640i | 0.936255 | + | 0.351320i | \(0.114267\pi\) | ||||
−0.936255 | + | 0.351320i | \(0.885733\pi\) | |||||||
\(398\) | 20.9343 | + | 31.6155i | 1.04934 | + | 1.58474i | ||||
\(399\) | 30.9481 | + | 21.5150i | 1.54935 | + | 1.07710i | ||||
\(400\) | 2.78078 | + | 2.87529i | 0.139039 | + | 0.143764i | ||||
\(401\) | 6.00000 | 0.299626 | 0.149813 | − | 0.988714i | \(-0.452133\pi\) | ||||
0.149813 | + | 0.988714i | \(0.452133\pi\) | |||||||
\(402\) | −13.4061 | + | 8.87689i | −0.668635 | + | 0.442739i | ||||
\(403\) | 6.78456i | 0.337963i | ||||||||
\(404\) | −27.8462 | − | 11.8078i | −1.38540 | − | 0.587458i | ||||
\(405\) | − | 10.1231i | − | 0.503021i | ||||||
\(406\) | 0.169271 | − | 7.48140i | 0.00840077 | − | 0.371296i | ||||
\(407\) | 9.43318i | 0.467585i | ||||||||
\(408\) | −1.75379 | − | 9.43318i | −0.0868255 | − | 0.467012i | ||||
\(409\) | 17.1231i | 0.846683i | 0.905970 | + | 0.423342i | \(0.139143\pi\) | ||||
−0.905970 | + | 0.423342i | \(0.860857\pi\) | |||||||
\(410\) | −0.876894 | − | 1.32431i | −0.0433067 | − | 0.0654029i | ||||
\(411\) | −42.2863 | −2.08583 | ||||||||
\(412\) | 6.04090 | − | 14.2462i | 0.297614 | − | 0.701860i | ||||
\(413\) | 4.49242 | + | 3.12311i | 0.221058 | + | 0.153678i | ||||
\(414\) | 46.3002 | − | 30.6578i | 2.27553 | − | 1.50675i | ||||
\(415\) | − | 3.02045i | − | 0.148268i | ||||||
\(416\) | 11.0478 | + | 2.43845i | 0.541663 | + | 0.119555i | ||||
\(417\) | 50.7386 | 2.48468 | ||||||||
\(418\) | −26.2316 | + | 17.3693i | −1.28303 | + | 0.849561i | ||||
\(419\) | −23.5829 | −1.15210 | −0.576051 | − | 0.817414i | \(-0.695407\pi\) | ||||
−0.576051 | + | 0.817414i | \(0.695407\pi\) | |||||||
\(420\) | −8.52024 | − | 13.5223i | −0.415745 | − | 0.659820i | ||||
\(421\) | 23.6155 | 1.15095 | 0.575475 | − | 0.817819i | \(-0.304817\pi\) | ||||
0.575475 | + | 0.817819i | \(0.304817\pi\) | |||||||
\(422\) | 26.0540 | − | 17.2517i | 1.26829 | − | 0.839801i | ||||
\(423\) | 31.1570 | 1.51490 | ||||||||
\(424\) | 5.56155 | − | 1.03399i | 0.270093 | − | 0.0502149i | ||||
\(425\) | 1.12311i | 0.0544786i | ||||||||
\(426\) | −26.2316 | + | 17.3693i | −1.27092 | + | 0.841546i | ||||
\(427\) | −3.02045 | + | 4.34475i | −0.146170 | + | 0.210257i | ||||
\(428\) | 10.4384 | + | 4.42627i | 0.504561 | + | 0.213952i | ||||
\(429\) | 28.4924 | 1.37563 | ||||||||
\(430\) | 0.290319 | + | 0.438447i | 0.0140004 | + | 0.0211438i | ||||
\(431\) | 5.87787i | 0.283127i | 0.989929 | + | 0.141563i | \(0.0452129\pi\) | ||||
−0.989929 | + | 0.141563i | \(0.954787\pi\) | |||||||
\(432\) | −26.2316 | − | 27.1231i | −1.26207 | − | 1.30496i | ||||
\(433\) | − | 29.6155i | − | 1.42323i | −0.702569 | − | 0.711616i | \(-0.747964\pi\) | ||
0.702569 | − | 0.711616i | \(-0.252036\pi\) | |||||||
\(434\) | 0.287107 | − | 12.6895i | 0.0137816 | − | 0.609116i | ||||
\(435\) | 6.04090i | 0.289639i | ||||||||
\(436\) | 5.56155 | − | 13.1158i | 0.266350 | − | 0.628132i | ||||
\(437\) | − | 30.2462i | − | 1.44687i | ||||||
\(438\) | −54.7386 | + | 36.2454i | −2.61551 | + | 1.73187i | ||||
\(439\) | 16.2177 | 0.774031 | 0.387015 | − | 0.922073i | \(-0.373506\pi\) | ||||
0.387015 | + | 0.922073i | \(0.373506\pi\) | |||||||
\(440\) | 13.1158 | − | 2.43845i | 0.625270 | − | 0.116248i | ||||
\(441\) | 14.9309 | + | 40.1771i | 0.710994 | + | 1.91319i | ||||
\(442\) | 1.75379 | + | 2.64861i | 0.0834192 | + | 0.125982i | ||||
\(443\) | − | 23.0481i | − | 1.09505i | −0.836790 | − | 0.547524i | \(-0.815571\pi\) | ||
0.836790 | − | 0.547524i | \(-0.184429\pi\) | |||||||
\(444\) | −4.71659 | + | 11.1231i | −0.223839 | + | 0.527879i | ||||
\(445\) | −12.0000 | −0.568855 | ||||||||
\(446\) | −16.0547 | − | 24.2462i | −0.760213 | − | 1.14809i | ||||
\(447\) | 16.2177 | 0.767073 | ||||||||
\(448\) | −20.5601 | − | 5.02827i | −0.971372 | − | 0.237563i | ||||
\(449\) | −15.6155 | −0.736942 | −0.368471 | − | 0.929639i | \(-0.620119\pi\) | ||||
−0.368471 | + | 0.929639i | \(0.620119\pi\) | |||||||
\(450\) | 4.78078 | + | 7.22004i | 0.225368 | + | 0.340356i | ||||
\(451\) | −5.29723 | −0.249437 | ||||||||
\(452\) | −14.4384 | + | 34.0501i | −0.679127 | + | 1.60158i | ||||
\(453\) | − | 30.2462i | − | 1.42109i | ||||||
\(454\) | 2.93893 | + | 4.43845i | 0.137931 | + | 0.208307i | ||||
\(455\) | 4.34475 | + | 3.02045i | 0.203685 | + | 0.141601i | ||||
\(456\) | −39.6155 | + | 7.36520i | −1.85517 | + | 0.344907i | ||||
\(457\) | 6.00000 | 0.280668 | 0.140334 | − | 0.990104i | \(-0.455182\pi\) | ||||
0.140334 | + | 0.990104i | \(0.455182\pi\) | |||||||
\(458\) | 15.1838 | − | 10.0540i | 0.709490 | − | 0.469791i | ||||
\(459\) | − | 10.5945i | − | 0.494507i | ||||||
\(460\) | −5.00691 | + | 11.8078i | −0.233448 | + | 0.550540i | ||||
\(461\) | − | 3.61553i | − | 0.168392i | −0.996449 | − | 0.0841960i | \(-0.973168\pi\) | ||
0.996449 | − | 0.0841960i | \(-0.0268322\pi\) | |||||||
\(462\) | −53.2908 | − | 1.20573i | −2.47931 | − | 0.0560958i | ||||
\(463\) | − | 28.6714i | − | 1.33247i | −0.745741 | − | 0.666236i | \(-0.767904\pi\) | ||
0.745741 | − | 0.666236i | \(-0.232096\pi\) | |||||||
\(464\) | 5.56155 | + | 5.75058i | 0.258189 | + | 0.266964i | ||||
\(465\) | 10.2462i | 0.475157i | ||||||||
\(466\) | −6.05398 | − | 9.14286i | −0.280445 | − | 0.423535i | ||||
\(467\) | 18.4945 | 0.855824 | 0.427912 | − | 0.903820i | \(-0.359249\pi\) | ||||
0.427912 | + | 0.903820i | \(0.359249\pi\) | |||||||
\(468\) | 22.5490 | + | 9.56155i | 1.04233 | + | 0.441983i | ||||
\(469\) | −5.68466 | + | 8.17708i | −0.262493 | + | 0.377583i | ||||
\(470\) | −6.00000 | + | 3.97292i | −0.276759 | + | 0.183257i | ||||
\(471\) | 0.743668i | 0.0342664i | ||||||||
\(472\) | −5.75058 | + | 1.06913i | −0.264692 | + | 0.0492107i | ||||
\(473\) | 1.75379 | 0.0806393 | ||||||||
\(474\) | 4.71659 | − | 3.12311i | 0.216640 | − | 0.143449i | ||||
\(475\) | 4.71659 | 0.216412 | ||||||||
\(476\) | −3.16812 | − | 5.02805i | −0.145210 | − | 0.230460i | ||||
\(477\) | 12.2462 | 0.560715 | ||||||||
\(478\) | 4.68466 | − | 3.10196i | 0.214271 | − | 0.141880i | ||||
\(479\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(480\) | 16.6847 | + | 3.68260i | 0.761547 | + | 0.168087i | ||||
\(481\) | − | 4.00000i | − | 0.182384i | ||||||
\(482\) | 30.2045 | − | 20.0000i | 1.37578 | − | 0.910975i | ||||
\(483\) | 29.2520 | − | 42.0775i | 1.33101 | − | 1.91459i | ||||
\(484\) | 8.78078 | − | 20.7077i | 0.399126 | − | 0.941257i | ||||
\(485\) | 1.12311 | 0.0509976 | ||||||||
\(486\) | −1.77766 | − | 2.68466i | −0.0806361 | − | 0.121779i | ||||
\(487\) | 13.1973i | 0.598026i | 0.954249 | + | 0.299013i | \(0.0966575\pi\) | ||||
−0.954249 | + | 0.299013i | \(0.903343\pi\) | |||||||
\(488\) | −1.03399 | − | 5.56155i | −0.0468064 | − | 0.251760i | ||||
\(489\) | 9.12311i | 0.412561i | ||||||||
\(490\) | −7.99839 | − | 5.83315i | −0.361331 | − | 0.263515i | ||||
\(491\) | − | 31.5288i | − | 1.42287i | −0.702750 | − | 0.711437i | \(-0.748045\pi\) | ||
0.702750 | − | 0.711437i | \(-0.251955\pi\) | |||||||
\(492\) | −6.24621 | − | 2.64861i | −0.281601 | − | 0.119409i | ||||
\(493\) | 2.24621i | 0.101164i | ||||||||
\(494\) | 11.1231 | − | 7.36520i | 0.500452 | − | 0.331376i | ||||
\(495\) | 28.8802 | 1.29807 | ||||||||
\(496\) | 9.43318 | + | 9.75379i | 0.423562 | + | 0.437958i | ||||
\(497\) | −11.1231 | + | 16.0000i | −0.498939 | + | 0.717698i | ||||
\(498\) | −7.12311 | − | 10.7575i | −0.319194 | − | 0.482054i | ||||
\(499\) | − | 24.3266i | − | 1.08901i | −0.838758 | − | 0.544504i | \(-0.816718\pi\) | ||
0.838758 | − | 0.544504i | \(-0.183282\pi\) | |||||||
\(500\) | −1.84130 | − | 0.780776i | −0.0823455 | − | 0.0349174i | ||||
\(501\) | −59.8617 | −2.67443 | ||||||||
\(502\) | 12.5351 | + | 18.9309i | 0.559471 | + | 0.844926i | ||||
\(503\) | −17.9139 | −0.798741 | −0.399370 | − | 0.916790i | \(-0.630771\pi\) | ||||
−0.399370 | + | 0.916790i | \(0.630771\pi\) | |||||||
\(504\) | −41.7698 | − | 18.8377i | −1.86058 | − | 0.839097i | ||||
\(505\) | 15.1231 | 0.672969 | ||||||||
\(506\) | 23.6155 | + | 35.6647i | 1.04984 | + | 1.58549i | ||||
\(507\) | 27.1840 | 1.20729 | ||||||||
\(508\) | 32.6847 | + | 13.8594i | 1.45015 | + | 0.614914i | ||||
\(509\) | 23.6155i | 1.04674i | 0.852106 | + | 0.523370i | \(0.175325\pi\) | ||||
−0.852106 | + | 0.523370i | \(0.824675\pi\) | |||||||
\(510\) | 2.64861 | + | 4.00000i | 0.117283 | + | 0.177123i | ||||
\(511\) | −23.2111 | + | 33.3880i | −1.02680 | + | 1.47700i | ||||
\(512\) | 19.2732 | − | 11.8551i | 0.851763 | − | 0.523927i | ||||
\(513\) | −44.4924 | −1.96439 | ||||||||
\(514\) | 13.4061 | − | 8.87689i | 0.591318 | − | 0.391543i | ||||
\(515\) | 7.73704i | 0.340935i | ||||||||
\(516\) | 2.06798 | + | 0.876894i | 0.0910375 | + | 0.0386031i | ||||
\(517\) | 24.0000i | 1.05552i | ||||||||
\(518\) | −0.169271 | + | 7.48140i | −0.00743733 | + | 0.328714i | ||||
\(519\) | 49.0708i | 2.15397i | ||||||||
\(520\) | −5.56155 | + | 1.03399i | −0.243890 | + | 0.0453434i | ||||
\(521\) | 9.75379i | 0.427321i | 0.976908 | + | 0.213661i | \(0.0685387\pi\) | ||||
−0.976908 | + | 0.213661i | \(0.931461\pi\) | |||||||
\(522\) | 9.56155 | + | 14.4401i | 0.418498 | + | 0.632025i | ||||
\(523\) | 19.2382 | 0.841227 | 0.420614 | − | 0.907240i | \(-0.361815\pi\) | ||||
0.420614 | + | 0.907240i | \(0.361815\pi\) | |||||||
\(524\) | −13.6964 | + | 32.3002i | −0.598331 | + | 1.41104i | ||||
\(525\) | 6.56155 | + | 4.56155i | 0.286370 | + | 0.199082i | ||||
\(526\) | −21.8078 | + | 14.4401i | −0.950864 | + | 0.629618i | ||||
\(527\) | 3.80989i | 0.165961i | ||||||||
\(528\) | 40.9620 | − | 39.6155i | 1.78264 | − | 1.72404i | ||||
\(529\) | −18.1231 | −0.787961 | ||||||||
\(530\) | −2.35829 | + | 1.56155i | −0.102438 | + | 0.0678295i | ||||
\(531\) | −12.6624 | −0.549503 | ||||||||
\(532\) | −21.1158 | + | 13.3048i | −0.915485 | + | 0.576836i | ||||
\(533\) | 2.24621 | 0.0972942 | ||||||||
\(534\) | −42.7386 | + | 28.2995i | −1.84948 | + | 1.22464i | ||||
\(535\) | −5.66906 | −0.245095 | ||||||||
\(536\) | −1.94602 | − | 10.4672i | −0.0840555 | − | 0.452113i | ||||
\(537\) | − | 32.4924i | − | 1.40215i | ||||||
\(538\) | 0.290319 | − | 0.192236i | 0.0125166 | − | 0.00828788i | ||||
\(539\) | −30.9481 | + | 11.5012i | −1.33303 | + | 0.495390i | ||||
\(540\) | 17.3693 | + | 7.36520i | 0.747456 | + | 0.316948i | ||||
\(541\) | 30.0000 | 1.28980 | 0.644900 | − | 0.764267i | \(-0.276899\pi\) | ||||
0.644900 | + | 0.764267i | \(0.276899\pi\) | |||||||
\(542\) | −1.48734 | − | 2.24621i | −0.0638866 | − | 0.0964830i | ||||
\(543\) | 45.6786i | 1.96025i | ||||||||
\(544\) | 6.20393 | + | 1.36932i | 0.265991 | + | 0.0587090i | ||||
\(545\) | 7.12311i | 0.305120i | ||||||||
\(546\) | 22.5972 | + | 0.511274i | 0.967070 | + | 0.0218805i | ||||
\(547\) | 30.5763i | 1.30735i | 0.756776 | + | 0.653674i | \(0.226773\pi\) | ||||
−0.756776 | + | 0.653674i | \(0.773227\pi\) | |||||||
\(548\) | 10.9309 | − | 25.7782i | 0.466944 | − | 1.10119i | ||||
\(549\) | − | 12.2462i | − | 0.522656i | ||||||
\(550\) | −5.56155 | + | 3.68260i | −0.237145 | + | 0.157027i | ||||
\(551\) | 9.43318 | 0.401867 | ||||||||
\(552\) | 10.0138 | + | 53.8617i | 0.426216 | + | 2.29251i | ||||
\(553\) | 2.00000 | − | 2.87689i | 0.0850487 | − | 0.122338i | ||||
\(554\) | −9.56155 | − | 14.4401i | −0.406231 | − | 0.613500i | ||||
\(555\) | − | 6.04090i | − | 0.256422i | ||||||
\(556\) | −13.1158 | + | 30.9309i | −0.556233 | + | 1.31176i | ||||
\(557\) | −26.4924 | −1.12252 | −0.561260 | − | 0.827640i | \(-0.689683\pi\) | ||||
−0.561260 | + | 0.827640i | \(0.689683\pi\) | |||||||
\(558\) | 16.2177 | + | 24.4924i | 0.686552 | + | 1.03685i | ||||
\(559\) | −0.743668 | −0.0314538 | ||||||||
\(560\) | 10.4458 | − | 1.69857i | 0.441416 | − | 0.0717775i | ||||
\(561\) | 16.0000 | 0.675521 | ||||||||
\(562\) | 22.9309 | + | 34.6307i | 0.967280 | + | 1.46081i | ||||
\(563\) | −38.1045 | −1.60592 | −0.802958 | − | 0.596036i | \(-0.796741\pi\) | ||||
−0.802958 | + | 0.596036i | \(0.796741\pi\) | |||||||
\(564\) | −12.0000 | + | 28.2995i | −0.505291 | + | 1.19163i | ||||
\(565\) | − | 18.4924i | − | 0.777982i | ||||||
\(566\) | 3.84563 | + | 5.80776i | 0.161644 | + | 0.244119i | ||||
\(567\) | −21.9912 | − | 15.2882i | −0.923544 | − | 0.642042i | ||||
\(568\) | −3.80776 | − | 20.4810i | −0.159770 | − | 0.859363i | ||||
\(569\) | −28.8769 | −1.21058 | −0.605291 | − | 0.796004i | \(-0.706943\pi\) | ||||
−0.605291 | + | 0.796004i | \(0.706943\pi\) | |||||||
\(570\) | 16.7984 | − | 11.1231i | 0.703607 | − | 0.465896i | ||||
\(571\) | 3.22925i | 0.135140i | 0.997715 | + | 0.0675700i | \(0.0215246\pi\) | ||||
−0.997715 | + | 0.0675700i | \(0.978475\pi\) | |||||||
\(572\) | −7.36520 | + | 17.3693i | −0.307955 | + | 0.726248i | ||||
\(573\) | 50.7386i | 2.11964i | ||||||||
\(574\) | −4.20120 | − | 0.0950545i | −0.175355 | − | 0.00396750i | ||||
\(575\) | − | 6.41273i | − | 0.267429i | ||||||
\(576\) | 45.7116 | − | 17.6057i | 1.90465 | − | 0.733571i | ||||
\(577\) | − | 45.6155i | − | 1.89900i | −0.313768 | − | 0.949500i | \(-0.601591\pi\) | ||
0.313768 | − | 0.949500i | \(-0.398409\pi\) | |||||||
\(578\) | −12.2884 | − | 18.5582i | −0.511128 | − | 0.771918i | ||||
\(579\) | −67.9372 | −2.82337 | ||||||||
\(580\) | −3.68260 | − | 1.56155i | −0.152912 | − | 0.0648400i | ||||
\(581\) | −6.56155 | − | 4.56155i | −0.272219 | − | 0.189245i | ||||
\(582\) | 4.00000 | − | 2.64861i | 0.165805 | − | 0.109789i | ||||
\(583\) | 9.43318i | 0.390682i | ||||||||
\(584\) | −7.94584 | − | 42.7386i | −0.328801 | − | 1.76854i | ||||
\(585\) | −12.2462 | −0.506319 | ||||||||
\(586\) | 18.5760 | − | 12.3002i | 0.767369 | − | 0.508116i | ||||
\(587\) | −21.8868 | −0.903365 | −0.451683 | − | 0.892179i | \(-0.649176\pi\) | ||||
−0.451683 | + | 0.892179i | \(0.649176\pi\) | |||||||
\(588\) | −42.2430 | − | 1.91252i | −1.74207 | − | 0.0788710i | ||||
\(589\) | 16.0000 | 0.659269 | ||||||||
\(590\) | 2.43845 | − | 1.61463i | 0.100389 | − | 0.0664731i | ||||
\(591\) | 54.3681 | 2.23640 | ||||||||
\(592\) | −5.56155 | − | 5.75058i | −0.228578 | − | 0.236347i | ||||
\(593\) | 11.3693i | 0.466882i | 0.972371 | + | 0.233441i | \(0.0749986\pi\) | ||||
−0.972371 | + | 0.233441i | \(0.925001\pi\) | |||||||
\(594\) | 52.4631 | − | 34.7386i | 2.15259 | − | 1.42534i | ||||
\(595\) | 2.43981 | + | 1.69614i | 0.100022 | + | 0.0695350i | ||||
\(596\) | −4.19224 | + | 9.88653i | −0.171721 | + | 0.404968i | ||||
\(597\) | −80.9848 | −3.31449 | ||||||||
\(598\) | −10.0138 | − | 15.1231i | −0.409495 | − | 0.618430i | ||||
\(599\) | − | 29.6238i | − | 1.21040i | −0.796074 | − | 0.605199i | \(-0.793094\pi\) | ||
0.796074 | − | 0.605199i | \(-0.206906\pi\) | |||||||
\(600\) | −8.39919 | + | 1.56155i | −0.342896 | + | 0.0637501i | ||||
\(601\) | − | 17.1231i | − | 0.698466i | −0.937036 | − | 0.349233i | \(-0.886442\pi\) | ||
0.937036 | − | 0.349233i | \(-0.113558\pi\) | |||||||
\(602\) | 1.39092 | + | 0.0314703i | 0.0566897 | + | 0.00128263i | ||||
\(603\) | − | 23.0481i | − | 0.938590i | ||||||
\(604\) | 18.4384 | + | 7.81855i | 0.750250 | + | 0.318132i | ||||
\(605\) | 11.2462i | 0.457224i | ||||||||
\(606\) | 53.8617 | − | 35.6647i | 2.18798 | − | 1.44878i | ||||
\(607\) | −37.9415 | −1.54000 | −0.769999 | − | 0.638045i | \(-0.779743\pi\) | ||||
−0.769999 | + | 0.638045i | \(0.779743\pi\) | |||||||
\(608\) | 5.75058 | − | 26.0540i | 0.233217 | − | 1.05663i | ||||
\(609\) | 13.1231 | + | 9.12311i | 0.531775 | + | 0.369687i | ||||
\(610\) | 1.56155 | + | 2.35829i | 0.0632254 | + | 0.0954846i | ||||
\(611\) | − | 10.1768i | − | 0.411711i | ||||||
\(612\) | 12.6624 | + | 5.36932i | 0.511848 | + | 0.217042i | ||||
\(613\) | 28.2462 | 1.14085 | 0.570427 | − | 0.821348i | \(-0.306778\pi\) | ||||
0.570427 | + | 0.821348i | \(0.306778\pi\) | |||||||
\(614\) | −1.19702 | − | 1.80776i | −0.0483077 | − | 0.0729554i | ||||
\(615\) | 3.39228 | 0.136790 | ||||||||
\(616\) | 14.5105 | − | 32.1750i | 0.584646 | − | 1.29637i | ||||
\(617\) | −26.0000 | −1.04672 | −0.523360 | − | 0.852111i | \(-0.675322\pi\) | ||||
−0.523360 | + | 0.852111i | \(0.675322\pi\) | |||||||
\(618\) | 18.2462 | + | 27.5559i | 0.733970 | + | 1.10846i | ||||
\(619\) | 20.6083 | 0.828316 | 0.414158 | − | 0.910205i | \(-0.364076\pi\) | ||||
0.414158 | + | 0.910205i | \(0.364076\pi\) | |||||||
\(620\) | −6.24621 | − | 2.64861i | −0.250854 | − | 0.106371i | ||||
\(621\) | 60.4924i | 2.42748i | ||||||||
\(622\) | −23.5829 | − | 35.6155i | −0.945590 | − | 1.42805i | ||||
\(623\) | −18.1227 | + | 26.0685i | −0.726070 | + | 1.04441i | ||||
\(624\) | −17.3693 | + | 16.7984i | −0.695329 | + | 0.672473i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −39.6377 | + | 26.2462i | −1.58424 | + | 1.04901i | ||||
\(627\) | − | 67.1935i | − | 2.68345i | ||||||
\(628\) | −0.453349 | − | 0.192236i | −0.0180906 | − | 0.00767105i | ||||
\(629\) | − | 2.24621i | − | 0.0895623i | ||||||
\(630\) | 22.9047 | + | 0.518231i | 0.912545 | + | 0.0206468i | ||||
\(631\) | − | 14.1498i | − | 0.563293i | −0.959518 | − | 0.281647i | \(-0.909119\pi\) | ||
0.959518 | − | 0.281647i | \(-0.0908806\pi\) | |||||||
\(632\) | 0.684658 | + | 3.68260i | 0.0272343 | + | 0.146486i | ||||
\(633\) | 66.7386i | 2.65262i | ||||||||
\(634\) | −9.56155 | − | 14.4401i | −0.379738 | − | 0.573489i | ||||
\(635\) | −17.7509 | −0.704421 | ||||||||
\(636\) | −4.71659 | + | 11.1231i | −0.187025 | + | 0.441060i | ||||
\(637\) | 13.1231 | − | 4.87689i | 0.519956 | − | 0.193230i | ||||
\(638\) | −11.1231 | + | 7.36520i | −0.440368 | + | 0.291591i | ||||
\(639\) | − | 45.0979i | − | 1.78405i | ||||||
\(640\) | −6.55789 | + | 9.21922i | −0.259223 | + | 0.364422i | ||||
\(641\) | −7.12311 | −0.281346 | −0.140673 | − | 0.990056i | \(-0.544927\pi\) | ||||
−0.140673 | + | 0.990056i | \(0.544927\pi\) | |||||||
\(642\) | −20.1907 | + | 13.3693i | −0.796862 | + | 0.527645i | ||||
\(643\) | 33.9686 | 1.33959 | 0.669795 | − | 0.742546i | \(-0.266382\pi\) | ||||
0.669795 | + | 0.742546i | \(0.266382\pi\) | |||||||
\(644\) | 18.0894 | + | 28.7093i | 0.712821 | + | 1.13130i | ||||
\(645\) | −1.12311 | −0.0442222 | ||||||||
\(646\) | 6.24621 | − | 4.13595i | 0.245754 | − | 0.162727i | ||||
\(647\) | 40.1725 | 1.57934 | 0.789672 | − | 0.613529i | \(-0.210251\pi\) | ||||
0.789672 | + | 0.613529i | \(0.210251\pi\) | |||||||
\(648\) | 28.1501 | − | 5.23358i | 1.10584 | − | 0.205595i | ||||
\(649\) | − | 9.75379i | − | 0.382870i | ||||||
\(650\) | 2.35829 | − | 1.56155i | 0.0924999 | − | 0.0612491i | ||||
\(651\) | 22.2586 | + | 15.4741i | 0.872385 | + | 0.606477i | ||||
\(652\) | −5.56155 | − | 2.35829i | −0.217807 | − | 0.0923579i | ||||
\(653\) | −22.9848 | −0.899466 | −0.449733 | − | 0.893163i | \(-0.648481\pi\) | ||||
−0.449733 | + | 0.893163i | \(0.648481\pi\) | |||||||
\(654\) | 16.7984 | + | 25.3693i | 0.656869 | + | 0.992019i | ||||
\(655\) | − | 17.5420i | − | 0.685425i | ||||||
\(656\) | 3.22925 | − | 3.12311i | 0.126081 | − | 0.121937i | ||||
\(657\) | − | 94.1080i | − | 3.67150i | ||||||
\(658\) | −0.430661 | + | 19.0343i | −0.0167889 | + | 0.742033i | ||||
\(659\) | 1.32431i | 0.0515877i | 0.999667 | + | 0.0257938i | \(0.00821134\pi\) | ||||
−0.999667 | + | 0.0257938i | \(0.991789\pi\) | |||||||
\(660\) | −11.1231 | + | 26.2316i | −0.432966 | + | 1.02106i | ||||
\(661\) | 12.2462i | 0.476322i | 0.971226 | + | 0.238161i | \(0.0765447\pi\) | ||||
−0.971226 | + | 0.238161i | \(0.923455\pi\) | |||||||
\(662\) | 21.5616 | − | 14.2771i | 0.838014 | − | 0.554894i | ||||
\(663\) | −6.78456 | −0.263491 | ||||||||
\(664\) | 8.39919 | − | 1.56155i | 0.325952 | − | 0.0606000i | ||||
\(665\) | 7.12311 | − | 10.2462i | 0.276222 | − | 0.397331i | ||||
\(666\) | −9.56155 | − | 14.4401i | −0.370503 | − | 0.559542i | ||||
\(667\) | − | 12.8255i | − | 0.496604i | ||||||
\(668\) | 15.4741 | − | 36.4924i | 0.598710 | − | 1.41193i | ||||
\(669\) | 62.1080 | 2.40123 | ||||||||
\(670\) | 2.93893 | + | 4.43845i | 0.113541 | + | 0.171472i | ||||
\(671\) | 9.43318 | 0.364164 | ||||||||
\(672\) | 33.1976 | − | 30.6838i | 1.28062 | − | 1.18365i | ||||
\(673\) | −14.0000 | −0.539660 | −0.269830 | − | 0.962908i | \(-0.586968\pi\) | ||||
−0.269830 | + | 0.962908i | \(0.586968\pi\) | |||||||
\(674\) | 9.56155 | + | 14.4401i | 0.368297 | + | 0.556211i | ||||
\(675\) | −9.43318 | −0.363083 | ||||||||
\(676\) | −7.02699 | + | 16.5717i | −0.270269 | + | 0.637373i | ||||
\(677\) | 32.7386i | 1.25825i | 0.777305 | + | 0.629124i | \(0.216586\pi\) | ||||
−0.777305 | + | 0.629124i | \(0.783414\pi\) | |||||||
\(678\) | −43.6106 | − | 65.8617i | −1.67485 | − | 2.52940i | ||||
\(679\) | 1.69614 | − | 2.43981i | 0.0650919 | − | 0.0936313i | ||||
\(680\) | −3.12311 | + | 0.580639i | −0.119766 | + | 0.0222665i | ||||
\(681\) | −11.3693 | −0.435673 | ||||||||
\(682\) | −18.8664 | + | 12.4924i | −0.722430 | + | 0.478360i | ||||
\(683\) | − | 0.371834i | − | 0.0142278i | −0.999975 | − | 0.00711392i | \(-0.997736\pi\) | ||
0.999975 | − | 0.00711392i | \(-0.00226445\pi\) | |||||||
\(684\) | 22.5490 | − | 53.1771i | 0.862181 | − | 2.03328i | ||||
\(685\) | 14.0000i | 0.534913i | ||||||||
\(686\) | −24.7512 | + | 8.56616i | −0.945004 | + | 0.327058i | ||||
\(687\) | 38.8940i | 1.48390i | ||||||||
\(688\) | −1.06913 | + | 1.03399i | −0.0407602 | + | 0.0394204i | ||||
\(689\) | − | 4.00000i | − | 0.152388i | ||||||
\(690\) | −15.1231 | − | 22.8393i | −0.575727 | − | 0.869476i | ||||
\(691\) | −14.8934 | −0.566573 | −0.283286 | − | 0.959035i | \(-0.591425\pi\) | ||||
−0.283286 | + | 0.959035i | \(0.591425\pi\) | |||||||
\(692\) | −29.9142 | − | 12.6847i | −1.13717 | − | 0.482198i | ||||
\(693\) | 43.6155 | − | 62.7386i | 1.65682 | − | 2.38324i | ||||
\(694\) | −6.68466 | + | 4.42627i | −0.253746 | + | 0.168019i | ||||
\(695\) | − | 16.7984i | − | 0.637199i | ||||||
\(696\) | −16.7984 | + | 3.12311i | −0.636741 | + | 0.118381i | ||||
\(697\) | 1.26137 | 0.0477777 | ||||||||
\(698\) | −35.2114 | + | 23.3153i | −1.33277 | + | 0.882499i | ||||
\(699\) | 23.4199 | 0.885823 | ||||||||
\(700\) | −4.47692 | + | 2.82085i | −0.169212 | + | 0.106618i | ||||
\(701\) | 11.1231 | 0.420114 | 0.210057 | − | 0.977689i | \(-0.432635\pi\) | ||||
0.210057 | + | 0.977689i | \(0.432635\pi\) | |||||||
\(702\) | −22.2462 | + | 14.7304i | −0.839629 | + | 0.555963i | ||||
\(703\) | −9.43318 | −0.355779 | ||||||||
\(704\) | 13.5616 | + | 35.2114i | 0.511120 | + | 1.32708i | ||||
\(705\) | − | 15.3693i | − | 0.578842i | ||||||
\(706\) | 22.8393 | − | 15.1231i | 0.859568 | − | 0.569166i | ||||
\(707\) | 22.8393 | − | 32.8531i | 0.858959 | − | 1.23557i | ||||
\(708\) | 4.87689 | − | 11.5012i | 0.183285 | − | 0.432240i | ||||
\(709\) | 44.7386 | 1.68019 | 0.840097 | − | 0.542436i | \(-0.182498\pi\) | ||||
0.840097 | + | 0.542436i | \(0.182498\pi\) | |||||||
\(710\) | 5.75058 | + | 8.68466i | 0.215815 | + | 0.325929i | ||||
\(711\) | 8.10887i | 0.304106i | ||||||||
\(712\) | −6.20393 | − | 33.3693i | −0.232502 | − | 1.25057i | ||||
\(713\) | − | 21.7538i | − | 0.814686i | ||||||
\(714\) | 12.6895 | + | 0.287107i | 0.474893 | + | 0.0107447i | ||||
\(715\) | − | 9.43318i | − | 0.352781i | ||||||
\(716\) | 19.8078 | + | 8.39919i | 0.740251 | + | 0.313892i | ||||
\(717\) | 12.0000i | 0.448148i | ||||||||
\(718\) | 18.9309 | − | 12.5351i | 0.706494 | − | 0.467807i | ||||
\(719\) | 22.6762 | 0.845681 | 0.422841 | − | 0.906204i | \(-0.361033\pi\) | ||||
0.422841 | + | 0.906204i | \(0.361033\pi\) | |||||||
\(720\) | −17.6057 | + | 17.0270i | −0.656125 | + | 0.634558i | ||||
\(721\) | 16.8078 | + | 11.6847i | 0.625954 | + | 0.435159i | ||||
\(722\) | −2.53457 | − | 3.82776i | −0.0943267 | − | 0.142455i | ||||
\(723\) | 77.3704i | 2.87743i | ||||||||
\(724\) | −27.8462 | − | 11.8078i | −1.03490 | − | 0.438832i | ||||
\(725\) | 2.00000 | 0.0742781 | ||||||||
\(726\) | 26.5219 | + | 40.0540i | 0.984319 | + | 1.48654i | ||||
\(727\) | −9.64198 | −0.357601 | −0.178801 | − | 0.983885i | \(-0.557222\pi\) | ||||
−0.178801 | + | 0.983885i | \(0.557222\pi\) | |||||||
\(728\) | −6.15298 | + | 13.6433i | −0.228045 | + | 0.505656i | ||||
\(729\) | −23.4924 | −0.870090 | ||||||||
\(730\) | 12.0000 | + | 18.1227i | 0.444140 | + | 0.670751i | ||||
\(731\) | −0.417609 | −0.0154458 | ||||||||
\(732\) | 11.1231 | + | 4.71659i | 0.411122 | + | 0.174330i | ||||
\(733\) | − | 0.738634i | − | 0.0272821i | −0.999907 | − | 0.0136410i | \(-0.995658\pi\) | ||
0.999907 | − | 0.0136410i | \(-0.00434221\pi\) | |||||||
\(734\) | 8.10887 | + | 12.2462i | 0.299304 | + | 0.452016i | ||||
\(735\) | 19.8188 | − | 7.36520i | 0.731029 | − | 0.271670i | ||||
\(736\) | −35.4233 | − | 7.81855i | −1.30572 | − | 0.288196i | ||||
\(737\) | 17.7538 | 0.653969 | ||||||||
\(738\) | 8.10887 | − | 5.36932i | 0.298492 | − | 0.197647i | ||||
\(739\) | 37.5697i | 1.38202i | 0.722844 | + | 0.691012i | \(0.242835\pi\) | ||||
−0.722844 | + | 0.691012i | \(0.757165\pi\) | |||||||
\(740\) | 3.68260 | + | 1.56155i | 0.135375 | + | 0.0574038i | ||||
\(741\) | 28.4924i | 1.04670i | ||||||||
\(742\) | −0.169271 | + | 7.48140i | −0.00621413 | + | 0.274651i | ||||
\(743\) | 23.7917i | 0.872835i | 0.899744 | + | 0.436417i | \(0.143753\pi\) | ||||
−0.899744 | + | 0.436417i | \(0.856247\pi\) | |||||||
\(744\) | −28.4924 | + | 5.29723i | −1.04458 | + | 0.194206i | ||||
\(745\) | − | 5.36932i | − | 0.196717i | ||||||
\(746\) | 8.19224 | + | 12.3721i | 0.299939 | + | 0.452975i | ||||
\(747\) | 18.4945 | 0.676679 | ||||||||
\(748\) | −4.13595 | + | 9.75379i | −0.151225 | + | 0.356634i | ||||
\(749\) | −8.56155 | + | 12.3153i | −0.312832 | + | 0.449993i | ||||
\(750\) | 3.56155 | − | 2.35829i | 0.130050 | − | 0.0861127i | ||||
\(751\) | − | 28.8802i | − | 1.05385i | −0.849911 | − | 0.526926i | \(-0.823344\pi\) | ||
0.849911 | − | 0.526926i | \(-0.176656\pi\) | |||||||
\(752\) | −14.1498 | − | 14.6307i | −0.515989 | − | 0.533526i | ||||
\(753\) | −48.4924 | −1.76716 | ||||||||
\(754\) | 4.71659 | − | 3.12311i | 0.171768 | − | 0.113737i | ||||
\(755\) | −10.0138 | −0.364440 | ||||||||
\(756\) | 42.2316 | − | 26.6096i | 1.53595 | − | 0.967782i | ||||
\(757\) | 4.24621 | 0.154331 | 0.0771656 | − | 0.997018i | \(-0.475413\pi\) | ||||
0.0771656 | + | 0.997018i | \(0.475413\pi\) | |||||||
\(758\) | 17.5616 | − | 11.6284i | 0.637864 | − | 0.422364i | ||||
\(759\) | −91.3571 | −3.31605 | ||||||||
\(760\) | 2.43845 | + | 13.1158i | 0.0884518 | + | 0.475759i | ||||
\(761\) | 47.2311i | 1.71212i | 0.516873 | + | 0.856062i | \(0.327096\pi\) | ||||
−0.516873 | + | 0.856062i | \(0.672904\pi\) | |||||||
\(762\) | −63.2206 | + | 41.8617i | −2.29024 | + | 1.51649i | ||||
\(763\) | 15.4741 | + | 10.7575i | 0.560199 | + | 0.389447i | ||||
\(764\) | −30.9309 | − | 13.1158i | −1.11904 | − | 0.474512i | ||||
\(765\) | −6.87689 | −0.248635 | ||||||||
\(766\) | 14.8934 | + | 22.4924i | 0.538122 | + | 0.812684i | ||||
\(767\) | 4.13595i | 0.149341i | ||||||||
\(768\) | −1.61463 | + | 48.3002i | −0.0582628 | + | 1.74288i | ||||
\(769\) | 27.2311i | 0.981977i | 0.871166 | + | 0.490989i | \(0.163364\pi\) | ||||
−0.871166 | + | 0.490989i | \(0.836636\pi\) | |||||||
\(770\) | −0.399190 | + | 17.6433i | −0.0143858 | + | 0.635822i | ||||
\(771\) | 34.3404i | 1.23674i | ||||||||
\(772\) | 17.5616 | − | 41.4153i | 0.632054 | − | 1.49057i | ||||
\(773\) | 32.7386i | 1.17753i | 0.808305 | + | 0.588763i | \(0.200385\pi\) | ||||
−0.808305 | + | 0.588763i | \(0.799615\pi\) | |||||||
\(774\) | −2.68466 | + | 1.77766i | −0.0964981 | + | 0.0638965i | ||||
\(775\) | 3.39228 | 0.121854 | ||||||||
\(776\) | 0.580639 | + | 3.12311i | 0.0208437 | + | 0.112113i | ||||
\(777\) | −13.1231 | − | 9.12311i | −0.470789 | − | 0.327290i | ||||
\(778\) | 5.56155 | + | 8.39919i | 0.199391 | + | 0.301126i | ||||
\(779\) | − | 5.29723i | − | 0.189793i | ||||||
\(780\) | 4.71659 | − | 11.1231i | 0.168881 | − | 0.398271i | ||||
\(781\) | 34.7386 | 1.24305 | ||||||||
\(782\) | −5.62329 | − | 8.49242i | −0.201088 | − | 0.303688i | ||||
\(783\) | −18.8664 | −0.674229 | ||||||||
\(784\) | 12.0856 | − | 25.2574i | 0.431628 | − | 0.902052i | ||||
\(785\) | 0.246211 | 0.00878766 | ||||||||
\(786\) | −41.3693 | − | 62.4769i | −1.47559 | − | 2.22848i | ||||
\(787\) | 3.02045 | 0.107667 | 0.0538337 | − | 0.998550i | \(-0.482856\pi\) | ||||
0.0538337 | + | 0.998550i | \(0.482856\pi\) | |||||||
\(788\) | −14.0540 | + | 33.1434i | −0.500652 | + | 1.18069i | ||||
\(789\) | − | 55.8617i | − | 1.98873i | ||||||
\(790\) | −1.03399 | − | 1.56155i | −0.0367876 | − | 0.0555576i | ||||
\(791\) | −40.1725 | − | 27.9277i | −1.42837 | − | 0.992995i | ||||
\(792\) | 14.9309 | + | 80.3093i | 0.530545 | + | 2.85367i | ||||
\(793\) | −4.00000 | −0.142044 | ||||||||
\(794\) | 16.5081 | − | 10.9309i | 0.585849 | − | 0.387922i | ||||
\(795\) | − | 6.04090i | − | 0.214248i | ||||||
\(796\) | 20.9343 | − | 49.3693i | 0.741998 | − | 1.74985i | ||||
\(797\) | 3.75379i | 0.132966i | 0.997788 | + | 0.0664830i | \(0.0211778\pi\) | ||||
−0.997788 | + | 0.0664830i | \(0.978822\pi\) | |||||||
\(798\) | 1.20573 | − | 53.2908i | 0.0426825 | − | 1.88647i | ||||
\(799\) | − | 5.71484i | − | 0.202176i | ||||||
\(800\) | 1.21922 | − | 5.52390i | 0.0431061 | − | 0.195299i | ||||
\(801\) | − | 73.4773i | − | 2.59619i | ||||||
\(802\) | −4.68466 | − | 7.07488i | −0.165421 | − | 0.249823i | ||||
\(803\) | 72.4908 | 2.55814 | ||||||||
\(804\) | 20.9343 | + | 8.87689i | 0.738297 | + | 0.313064i | ||||
\(805\) | −13.9309 | − | 9.68466i | −0.490999 | − | 0.341339i | ||||
\(806\) | 8.00000 | − | 5.29723i | 0.281788 | − | 0.186587i | ||||
\(807\) | 0.743668i | 0.0261784i | ||||||||
\(808\) | 7.81855 | + | 42.0540i | 0.275056 | + | 1.47945i | ||||
\(809\) | 46.9848 | 1.65190 | 0.825950 | − | 0.563744i | \(-0.190640\pi\) | ||||
0.825950 | + | 0.563744i | \(0.190640\pi\) | |||||||
\(810\) | −11.9366 | + | 7.90388i | −0.419410 | + | 0.277714i | ||||
\(811\) | 8.10887 | 0.284741 | 0.142370 | − | 0.989813i | \(-0.454528\pi\) | ||||
0.142370 | + | 0.989813i | \(0.454528\pi\) | |||||||
\(812\) | −8.95383 | + | 5.64171i | −0.314218 | + | 0.197985i | ||||
\(813\) | 5.75379 | 0.201794 | ||||||||
\(814\) | 11.1231 | − | 7.36520i | 0.389865 | − | 0.258150i | ||||
\(815\) | 3.02045 | 0.105802 | ||||||||
\(816\) | −9.75379 | + | 9.43318i | −0.341451 | + | 0.330227i | ||||
\(817\) | 1.75379i | 0.0613573i | ||||||||
\(818\) | 20.1907 | − | 13.3693i | 0.705950 | − | 0.467447i | ||||
\(819\) | −18.4945 | + | 26.6034i | −0.646251 | + | 0.929598i | ||||
\(820\) | −0.876894 | + | 2.06798i | −0.0306225 | + | 0.0722168i | ||||
\(821\) | 15.6155 | 0.544986 | 0.272493 | − | 0.962158i | \(-0.412152\pi\) | ||||
0.272493 | + | 0.962158i | \(0.412152\pi\) | |||||||
\(822\) | 33.0161 | + | 49.8617i | 1.15157 | + | 1.73913i | ||||
\(823\) | − | 29.0890i | − | 1.01398i | −0.861953 | − | 0.506989i | \(-0.830758\pi\) | ||
0.861953 | − | 0.506989i | \(-0.169242\pi\) | |||||||
\(824\) | −21.5150 | + | 4.00000i | −0.749509 | + | 0.139347i | ||||
\(825\) | − | 14.2462i | − | 0.495989i | ||||||
\(826\) | 0.175024 | − | 7.73567i | 0.00608986 | − | 0.269159i | ||||
\(827\) | − | 24.5354i | − | 0.853180i | −0.904445 | − | 0.426590i | \(-0.859715\pi\) | ||
0.904445 | − | 0.426590i | \(-0.140285\pi\) | |||||||
\(828\) | −72.3002 | − | 30.6578i | −2.51261 | − | 1.06543i | ||||
\(829\) | − | 15.7538i | − | 0.547152i | −0.961850 | − | 0.273576i | \(-0.911794\pi\) | ||
0.961850 | − | 0.273576i | \(-0.0882065\pi\) | |||||||
\(830\) | −3.56155 | + | 2.35829i | −0.123623 | + | 0.0818576i | ||||
\(831\) | 36.9890 | 1.28314 | ||||||||
\(832\) | −5.75058 | − | 14.9309i | −0.199365 | − | 0.517635i | ||||
\(833\) | 7.36932 | − | 2.73863i | 0.255332 | − | 0.0948880i | ||||
\(834\) | −39.6155 | − | 59.8283i | −1.37177 | − | 2.07169i | ||||
\(835\) | 19.8188i | 0.685859i | ||||||||
\(836\) | 40.9620 | + | 17.3693i | 1.41670 | + | 0.600730i | ||||
\(837\) | −32.0000 | −1.10608 | ||||||||
\(838\) | 18.4130 | + | 27.8078i | 0.636067 | + | 0.960603i | ||||
\(839\) | 10.9205 | 0.377018 | 0.188509 | − | 0.982071i | \(-0.439635\pi\) | ||||
0.188509 | + | 0.982071i | \(0.439635\pi\) | |||||||
\(840\) | −9.29238 | + | 20.6045i | −0.320617 | + | 0.710923i | ||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | −18.4384 | − | 27.8462i | −0.635431 | − | 0.959643i | ||||
\(843\) | −88.7085 | −3.05528 | ||||||||
\(844\) | −40.6847 | − | 17.2517i | −1.40042 | − | 0.593829i | ||||
\(845\) | − | 9.00000i | − | 0.309609i | ||||||
\(846\) | −24.3266 | − | 36.7386i | −0.836366 | − | 1.26310i | ||||
\(847\) | 24.4310 | + | 16.9843i | 0.839460 | + | 0.583587i | ||||
\(848\) | −5.56155 | − | 5.75058i | −0.190985 | − | 0.197476i | ||||
\(849\) | −14.8769 | −0.510574 | ||||||||
\(850\) | 1.32431 | − | 0.876894i | 0.0454234 | − | 0.0300772i | ||||
\(851\) | 12.8255i | 0.439651i | ||||||||
\(852\) | 40.9620 | + | 17.3693i | 1.40333 | + | 0.595063i | ||||
\(853\) | − | 24.2462i | − | 0.830174i | −0.909782 | − | 0.415087i | \(-0.863751\pi\) | ||
0.909782 | − | 0.415087i | \(-0.136249\pi\) | |||||||
\(854\) | 7.48140 | + | 0.169271i | 0.256008 | + | 0.00579233i | ||||
\(855\) | 28.8802i | 0.987681i | ||||||||
\(856\) | −2.93087 | − | 15.7644i | −0.100175 | − | 0.538816i | ||||
\(857\) | − | 25.6155i | − | 0.875010i | −0.899216 | − | 0.437505i | \(-0.855862\pi\) | ||
0.899216 | − | 0.437505i | \(-0.144138\pi\) | |||||||
\(858\) | −22.2462 | − | 33.5968i | −0.759473 | − | 1.14697i | ||||
\(859\) | −3.55531 | −0.121306 | −0.0606528 | − | 0.998159i | \(-0.519318\pi\) | ||||
−0.0606528 | + | 0.998159i | \(0.519318\pi\) | |||||||
\(860\) | 0.290319 | − | 0.684658i | 0.00989981 | − | 0.0233467i | ||||
\(861\) | 5.12311 | − | 7.36932i | 0.174595 | − | 0.251146i | ||||
\(862\) | 6.93087 | − | 4.58930i | 0.236066 | − | 0.156312i | ||||
\(863\) | − | 10.2226i | − | 0.347982i | −0.984747 | − | 0.173991i | \(-0.944334\pi\) | ||
0.984747 | − | 0.173991i | \(-0.0556664\pi\) | |||||||
\(864\) | −11.5012 | + | 52.1080i | −0.391277 | + | 1.77275i | ||||
\(865\) | 16.2462 | 0.552388 | ||||||||
\(866\) | −34.9211 | + | 23.1231i | −1.18667 | + | 0.785755i | ||||
\(867\) | 47.5377 | 1.61447 | ||||||||
\(868\) | −15.1870 | + | 9.56913i | −0.515479 | + | 0.324797i | ||||
\(869\) | −6.24621 | −0.211888 | ||||||||
\(870\) | 7.12311 | − | 4.71659i | 0.241496 | − | 0.159907i | ||||
\(871\) | −7.52823 | −0.255084 | ||||||||
\(872\) | −19.8078 | + | 3.68260i | −0.670776 | + | 0.124709i | ||||
\(873\) | 6.87689i | 0.232748i | ||||||||
\(874\) | −35.6647 | + | 23.6155i | −1.20638 | + | 0.798807i | ||||
\(875\) | 1.51022 | − | 2.17238i | 0.0510549 | − | 0.0734398i | ||||
\(876\) | 85.4773 | + | 36.2454i | 2.88801 | + | 1.22462i | ||||
\(877\) | 0.738634 | 0.0249419 | 0.0124709 | − | 0.999922i | \(-0.496030\pi\) | ||||
0.0124709 | + | 0.999922i | \(0.496030\pi\) | |||||||
\(878\) | −12.6624 | − | 19.1231i | −0.427336 | − | 0.645374i | ||||
\(879\) | 47.5835i | 1.60495i | ||||||||
\(880\) | −13.1158 | − | 13.5616i | −0.442133 | − | 0.457160i | ||||
\(881\) | − | 31.3693i | − | 1.05686i | −0.848977 | − | 0.528430i | \(-0.822781\pi\) | ||
0.848977 | − | 0.528430i | \(-0.177219\pi\) | |||||||
\(882\) | 35.7170 | − | 48.9750i | 1.20265 | − | 1.64907i | ||||
\(883\) | − | 31.3200i | − | 1.05400i | −0.849865 | − | 0.527001i | \(-0.823317\pi\) | ||
0.849865 | − | 0.527001i | \(-0.176683\pi\) | |||||||
\(884\) | 1.75379 | − | 4.13595i | 0.0589863 | − | 0.139107i | ||||
\(885\) | 6.24621i | 0.209964i | ||||||||
\(886\) | −27.1771 | + | 17.9954i | −0.913032 | + | 0.604567i | ||||
\(887\) | 29.9957 | 1.00716 | 0.503578 | − | 0.863950i | \(-0.332017\pi\) | ||||
0.503578 | + | 0.863950i | \(0.332017\pi\) | |||||||
\(888\) | 16.7984 | − | 3.12311i | 0.563717 | − | 0.104805i | ||||
\(889\) | −26.8078 | + | 38.5616i | −0.899104 | + | 1.29331i | ||||
\(890\) | 9.36932 | + | 14.1498i | 0.314060 | + | 0.474301i | ||||
\(891\) | 47.7465i | 1.59957i | ||||||||
\(892\) | −16.0547 | + | 37.8617i | −0.537552 | + | 1.26770i | ||||
\(893\) | −24.0000 | −0.803129 | ||||||||
\(894\) | −12.6624 | − | 19.1231i | −0.423495 | − | 0.639572i | ||||
\(895\) | −10.7575 | −0.359583 | ||||||||
\(896\) | 10.1238 | + | 28.1693i | 0.338211 | + | 0.941070i | ||||
\(897\) | 38.7386 | 1.29345 | ||||||||
\(898\) | 12.1922 | + | 18.4130i | 0.406860 | + | 0.614450i | ||||
\(899\) | 6.78456 | 0.226278 | ||||||||
\(900\) | 4.78078 | − | 11.2745i | 0.159359 | − | 0.375816i | ||||
\(901\) | − | 2.24621i | − | 0.0748321i | ||||||
\(902\) | 4.13595 | + | 6.24621i | 0.137712 | + | 0.207976i | ||||
\(903\) | −1.69614 | + | 2.43981i | −0.0564440 | + | 0.0811918i | ||||
\(904\) | 51.4233 | − | 9.56047i | 1.71031 | − | 0.317976i | ||||
\(905\) | 15.1231 | 0.502709 | ||||||||
\(906\) | −35.6647 | + | 23.6155i | −1.18488 | + | 0.784573i | ||||
\(907\) | 52.8350i | 1.75436i | 0.480166 | + | 0.877178i | \(0.340577\pi\) | ||||
−0.480166 | + | 0.877178i | \(0.659423\pi\) | |||||||
\(908\) | 2.93893 | − | 6.93087i | 0.0975319 | − | 0.230009i | ||||
\(909\) | 92.6004i | 3.07136i | ||||||||
\(910\) | 0.169271 | − | 7.48140i | 0.00561127 | − | 0.248006i | ||||
\(911\) | 2.06798i | 0.0685151i | 0.999413 | + | 0.0342575i | \(0.0109066\pi\) | ||||
−0.999413 | + | 0.0342575i | \(0.989093\pi\) | |||||||
\(912\) | 39.6155 | + | 40.9620i | 1.31180 | + | 1.35639i | ||||
\(913\) | 14.2462i | 0.471481i | ||||||||
\(914\) | −4.68466 | − | 7.07488i | −0.154955 | − | 0.234016i | ||||
\(915\) | −6.04090 | −0.199706 | ||||||||
\(916\) | −23.7102 | − | 10.0540i | −0.783408 | − | 0.332193i | ||||
\(917\) | −38.1080 | − | 26.4924i | −1.25844 | − | 0.874857i | ||||
\(918\) | −12.4924 | + | 8.27190i | −0.412311 | + | 0.273013i | ||||
\(919\) | − | 9.27015i | − | 0.305794i | −0.988242 | − | 0.152897i | \(-0.951140\pi\) | ||
0.988242 | − | 0.152897i | \(-0.0488603\pi\) | |||||||
\(920\) | 17.8324 | − | 3.31534i | 0.587916 | − | 0.109304i | ||||
\(921\) | 4.63068 | 0.152586 | ||||||||
\(922\) | −4.26324 | + | 2.82292i | −0.140402 | + | 0.0929679i | ||||
\(923\) | −14.7304 | −0.484857 | ||||||||
\(924\) | 40.1865 | + | 63.7791i | 1.32204 | + | 2.09818i | ||||
\(925\) | −2.00000 | −0.0657596 | ||||||||
\(926\) | −33.8078 | + | 22.3859i | −1.11099 | + | 0.735647i | ||||
\(927\) | −47.3747 | −1.55599 | ||||||||
\(928\) | 2.43845 | − | 11.0478i | 0.0800460 | − | 0.362662i | ||||
\(929\) | 21.1231i | 0.693027i | 0.938045 | + | 0.346513i | \(0.112634\pi\) | ||||
−0.938045 | + | 0.346513i | \(0.887366\pi\) | |||||||
\(930\) | 12.0818 | − | 8.00000i | 0.396178 | − | 0.262330i | ||||
\(931\) | −11.5012 | − | 30.9481i | −0.376935 | − | 1.01428i | ||||
\(932\) | −6.05398 | + | 14.2771i | −0.198305 | + | 0.467661i | ||||
\(933\) | 91.2311 | 2.98677 | ||||||||
\(934\) | −14.4401 | − | 21.8078i | −0.472494 | − | 0.713572i | ||||
\(935\) | − | 5.29723i | − | 0.173238i | ||||||
\(936\) | −6.33122 | − | 34.0540i | −0.206942 | − | 1.11309i | ||||
\(937\) | 38.1080i | 1.24493i | 0.782647 | + | 0.622466i | \(0.213869\pi\) | ||||
−0.782647 | + | 0.622466i | \(0.786131\pi\) | |||||||
\(938\) | 14.0804 | + | 0.318577i | 0.459742 | + | 0.0104019i | ||||
\(939\) | − | 101.534i | − | 3.31344i | ||||||
\(940\) | 9.36932 | + | 3.97292i | 0.305593 | + | 0.129582i | ||||
\(941\) | − | 26.6307i | − | 0.868135i | −0.900880 | − | 0.434068i | \(-0.857078\pi\) | ||
0.900880 | − | 0.434068i | \(-0.142922\pi\) | |||||||
\(942\) | 0.876894 | − | 0.580639i | 0.0285708 | − | 0.0189182i | ||||
\(943\) | −7.20217 | −0.234535 | ||||||||
\(944\) | 5.75058 | + | 5.94602i | 0.187165 | + | 0.193527i | ||||
\(945\) | −14.2462 | + | 20.4924i | −0.463429 | + | 0.666619i | ||||
\(946\) | −1.36932 | − | 2.06798i | −0.0445203 | − | 0.0672357i | ||||
\(947\) | 35.8735i | 1.16573i | 0.812568 | + | 0.582867i | \(0.198069\pi\) | ||||
−0.812568 | + | 0.582867i | \(0.801931\pi\) | |||||||
\(948\) | −7.36520 | − | 3.12311i | −0.239211 | − | 0.101434i | ||||
\(949\) | −30.7386 | −0.997818 | ||||||||
\(950\) | −3.68260 | − | 5.56155i | −0.119479 | − | 0.180441i | ||||
\(951\) | 36.9890 | 1.19945 | ||||||||
\(952\) | −3.45522 | + | 7.66146i | −0.111984 | + | 0.248309i | ||||
\(953\) | 28.2462 | 0.914985 | 0.457492 | − | 0.889214i | \(-0.348748\pi\) | ||||
0.457492 | + | 0.889214i | \(0.348748\pi\) | |||||||
\(954\) | −9.56155 | − | 14.4401i | −0.309567 | − | 0.467515i | ||||
\(955\) | 16.7984 | 0.543583 | ||||||||
\(956\) | −7.31534 | − | 3.10196i | −0.236595 | − | 0.100325i | ||||
\(957\) | − | 28.4924i | − | 0.921029i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 30.4133 | + | 21.1431i | 0.982096 | + | 0.682747i | ||||
\(960\) | −8.68466 | − | 22.5490i | −0.280296 | − | 0.727764i | ||||
\(961\) | −19.4924 | −0.628788 | ||||||||
\(962\) | −4.71659 | + | 3.12311i | −0.152069 | + | 0.100693i | ||||
\(963\) | − | 34.7123i | − | 1.11859i | ||||||
\(964\) | −47.1659 | − | 20.0000i | −1.51911 | − | 0.644157i | ||||
\(965\) | 22.4924i | 0.724057i | ||||||||
\(966\) | −72.4548 | − | 1.63933i | −2.33120 | − | 0.0527446i | ||||
\(967\) | 3.43806i | 0.110560i | 0.998471 | + | 0.0552802i | \(0.0176052\pi\) | ||||
−0.998471 | + | 0.0552802i | \(0.982395\pi\) | |||||||
\(968\) | −31.2732 | + | 5.81422i | −1.00516 | + | 0.186876i | ||||
\(969\) | 16.0000i | 0.513994i | ||||||||
\(970\) | −0.876894 | − | 1.32431i | −0.0281554 | − | 0.0425209i | ||||
\(971\) | −10.7575 | −0.345224 | −0.172612 | − | 0.984990i | \(-0.555221\pi\) | ||||
−0.172612 | + | 0.984990i | \(0.555221\pi\) | |||||||
\(972\) | −1.77766 | + | 4.19224i | −0.0570183 | + | 0.134466i | ||||
\(973\) | −36.4924 | − | 25.3693i | −1.16989 | − | 0.813303i | ||||
\(974\) | 15.5616 | − | 10.3041i | 0.498624 | − | 0.330166i | ||||
\(975\) | 6.04090i | 0.193463i | ||||||||
\(976\) | −5.75058 | + | 5.56155i | −0.184071 | + | 0.178021i | ||||
\(977\) | 22.4924 | 0.719596 | 0.359798 | − | 0.933030i | \(-0.382846\pi\) | ||||
0.359798 | + | 0.933030i | \(0.382846\pi\) | |||||||
\(978\) | 10.7575 | − | 7.12311i | 0.343986 | − | 0.227772i | ||||
\(979\) | 56.5991 | 1.80891 | ||||||||
\(980\) | −0.633191 | + | 13.9857i | −0.0202265 | + | 0.446756i | ||||
\(981\) | −43.6155 | −1.39254 | ||||||||
\(982\) | −37.1771 | + | 24.6169i | −1.18637 | + | 0.785558i | ||||
\(983\) | 28.5083 | 0.909275 | 0.454637 | − | 0.890677i | \(-0.349769\pi\) | ||||
0.454637 | + | 0.890677i | \(0.349769\pi\) | |||||||
\(984\) | 1.75379 | + | 9.43318i | 0.0559087 | + | 0.300719i | ||||
\(985\) | − | 18.0000i | − | 0.573528i | ||||||
\(986\) | 2.64861 | − | 1.75379i | 0.0843490 | − | 0.0558520i | ||||
\(987\) | −33.3880 | − | 23.2111i | −1.06275 | − | 0.738818i | ||||
\(988\) | −17.3693 | − | 7.36520i | −0.552592 | − | 0.234318i | ||||
\(989\) | 2.38447 | 0.0758218 | ||||||||
\(990\) | −22.5490 | − | 34.0540i | −0.716653 | − | 1.08231i | ||||
\(991\) | − | 48.9078i | − | 1.55361i | −0.629743 | − | 0.776804i | \(-0.716840\pi\) | ||
0.629743 | − | 0.776804i | \(-0.283160\pi\) | |||||||
\(992\) | 4.13595 | − | 18.7386i | 0.131317 | − | 0.594952i | ||||
\(993\) | 55.2311i | 1.75270i | ||||||||
\(994\) | 27.5510 | + | 0.623357i | 0.873865 | + | 0.0197717i | ||||
\(995\) | 26.8122i | 0.850004i | ||||||||
\(996\) | −7.12311 | + | 16.7984i | −0.225704 | + | 0.532277i | ||||
\(997\) | 5.50758i | 0.174427i | 0.996190 | + | 0.0872134i | \(0.0277962\pi\) | ||||
−0.996190 | + | 0.0872134i | \(0.972204\pi\) | |||||||
\(998\) | −28.6847 | + | 18.9936i | −0.907997 | + | 0.601233i | ||||
\(999\) | 18.8664 | 0.596905 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))