Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(179,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.m (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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 17x^{12} - 104x^{10} + 713x^{8} + 238x^{6} + 1004x^{4} - 152x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 179.16 | ||
Root | \(-0.409646 - 0.286988i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 360.179 |
Dual form | 360.2.m.c.179.14 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37491 | + | 0.331077i | 0.972211 | + | 0.234107i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.78078 | + | 0.910404i | 0.890388 | + | 0.455202i | ||||
\(5\) | 1.64901 | + | 1.51022i | 0.737458 | + | 0.675393i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.936426 | −0.353936 | −0.176968 | − | 0.984217i | \(-0.556629\pi\) | ||||
−0.176968 | + | 0.984217i | \(0.556629\pi\) | |||||||
\(8\) | 2.14700 | + | 1.84130i | 0.759079 | + | 0.650998i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.76724 | + | 2.62238i | 0.558851 | + | 0.829268i | ||||
\(11\) | − | 2.20837i | − | 0.665848i | −0.942954 | − | 0.332924i | \(-0.891965\pi\) | ||
0.942954 | − | 0.332924i | \(-0.108035\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.33513 | −0.924999 | −0.462500 | − | 0.886619i | \(-0.653047\pi\) | ||||
−0.462500 | + | 0.886619i | \(0.653047\pi\) | |||||||
\(14\) | −1.28751 | − | 0.310029i | −0.344100 | − | 0.0828587i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.34233 | + | 3.24245i | 0.585582 | + | 0.810613i | ||||
\(17\) | 1.54417 | 0.374517 | 0.187259 | − | 0.982311i | \(-0.440040\pi\) | ||||
0.187259 | + | 0.982311i | \(0.440040\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.12311 | −0.716490 | −0.358245 | − | 0.933628i | \(-0.616625\pi\) | ||||
−0.358245 | + | 0.933628i | \(0.616625\pi\) | |||||||
\(20\) | 1.56160 | + | 4.19063i | 0.349184 | + | 0.937054i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.731140 | − | 3.03632i | 0.155879 | − | 0.647345i | ||||
\(23\) | − | 3.39228i | − | 0.707340i | −0.935370 | − | 0.353670i | \(-0.884934\pi\) | ||
0.935370 | − | 0.353670i | \(-0.115066\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.438447 | + | 4.98074i | 0.0876894 | + | 0.996148i | ||||
\(26\) | −4.58552 | − | 1.10418i | −0.899294 | − | 0.216548i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.66757 | − | 0.852526i | −0.315140 | − | 0.161112i | ||||
\(29\) | 8.44804 | 1.56876 | 0.784380 | − | 0.620280i | \(-0.212981\pi\) | ||||
0.784380 | + | 0.620280i | \(0.212981\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 8.30571i | − | 1.49175i | −0.666086 | − | 0.745875i | \(-0.732032\pi\) | ||
0.666086 | − | 0.745875i | \(-0.267968\pi\) | |||||||
\(32\) | 2.14700 | + | 5.23358i | 0.379540 | + | 0.925175i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.12311 | + | 0.511240i | 0.364110 | + | 0.0876769i | ||||
\(35\) | −1.54417 | − | 1.41421i | −0.261013 | − | 0.239046i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.60669 | −1.25053 | −0.625266 | − | 0.780412i | \(-0.715010\pi\) | ||||
−0.625266 | + | 0.780412i | \(0.715010\pi\) | |||||||
\(38\) | −4.29400 | − | 1.03399i | −0.696579 | − | 0.167735i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.759642 | + | 6.27877i | 0.120110 | + | 0.992761i | ||||
\(41\) | − | 5.83095i | − | 0.910642i | −0.890327 | − | 0.455321i | \(-0.849525\pi\) | ||
0.890327 | − | 0.455321i | \(-0.150475\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.77769i | 1.18609i | 0.805171 | + | 0.593043i | \(0.202074\pi\) | ||||
−0.805171 | + | 0.593043i | \(0.797926\pi\) | |||||||
\(44\) | 2.01051 | − | 3.93261i | 0.303095 | − | 0.592864i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.12311 | − | 4.66410i | 0.165593 | − | 0.687683i | ||||
\(47\) | − | 10.7575i | − | 1.56914i | −0.620040 | − | 0.784570i | \(-0.712884\pi\) | ||
0.620040 | − | 0.784570i | \(-0.287116\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.12311 | −0.874729 | ||||||||
\(50\) | −1.04618 | + | 6.99325i | −0.147952 | + | 0.988995i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.93912 | − | 3.03632i | −0.823608 | − | 0.421061i | ||||
\(53\) | 5.08842i | 0.698949i | 0.936946 | + | 0.349474i | \(0.113640\pi\) | ||||
−0.936946 | + | 0.349474i | \(0.886360\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.33513 | − | 3.64162i | 0.449709 | − | 0.491035i | ||||
\(56\) | −2.01051 | − | 1.72424i | −0.268665 | − | 0.230412i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 11.6153 | + | 2.79695i | 1.52517 | + | 0.367257i | ||||
\(59\) | 10.6937i | 1.39219i | 0.717947 | + | 0.696097i | \(0.245082\pi\) | ||||
−0.717947 | + | 0.696097i | \(0.754918\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(62\) | 2.74983 | − | 11.4196i | 0.349228 | − | 1.45030i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.21922 | + | 7.90655i | 0.152403 | + | 0.988318i | ||||
\(65\) | −5.49966 | − | 5.03680i | −0.682148 | − | 0.624738i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 12.1453i | − | 1.48378i | −0.670521 | − | 0.741890i | \(-0.733929\pi\) | ||
0.670521 | − | 0.741890i | \(-0.266071\pi\) | |||||||
\(68\) | 2.74983 | + | 1.40582i | 0.333466 | + | 0.170481i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.65489 | − | 2.45566i | −0.197797 | − | 0.293508i | ||||
\(71\) | −11.7460 | −1.39400 | −0.697000 | − | 0.717071i | \(-0.745482\pi\) | ||||
−0.697000 | + | 0.717071i | \(0.745482\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 5.59390i | − | 0.654716i | −0.944900 | − | 0.327358i | \(-0.893842\pi\) | ||
0.944900 | − | 0.327358i | \(-0.106158\pi\) | |||||||
\(74\) | −10.4585 | − | 2.51840i | −1.21578 | − | 0.292758i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.56155 | − | 2.84329i | −0.637954 | − | 0.326147i | ||||
\(77\) | 2.06798i | 0.235668i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 1.02248i | − | 0.115038i | −0.998344 | − | 0.0575190i | \(-0.981681\pi\) | ||
0.998344 | − | 0.0575190i | \(-0.0183190\pi\) | |||||||
\(80\) | −1.03431 | + | 8.88427i | −0.115640 | + | 0.993291i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.93049 | − | 8.01706i | 0.213187 | − | 0.885336i | ||||
\(83\) | −14.0877 | −1.54632 | −0.773161 | − | 0.634210i | \(-0.781325\pi\) | ||||
−0.773161 | + | 0.634210i | \(0.781325\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.54635 | + | 2.33205i | 0.276191 | + | 0.252946i | ||||
\(86\) | −2.57501 | + | 10.6937i | −0.277671 | + | 1.15313i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.06627 | − | 4.74137i | 0.433466 | − | 0.505432i | ||||
\(89\) | 13.0761i | 1.38607i | 0.720906 | + | 0.693033i | \(0.243726\pi\) | ||||
−0.720906 | + | 0.693033i | \(0.756274\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.12311 | 0.327390 | ||||||||
\(92\) | 3.08835 | − | 6.04090i | 0.321982 | − | 0.629807i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.56155 | − | 14.7906i | 0.367346 | − | 1.52554i | ||||
\(95\) | −5.15002 | − | 4.71659i | −0.528381 | − | 0.483912i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 2.18379i | − | 0.221730i | −0.993835 | − | 0.110865i | \(-0.964638\pi\) | ||
0.993835 | − | 0.110865i | \(-0.0353622\pi\) | |||||||
\(98\) | −8.41874 | − | 2.02722i | −0.850421 | − | 0.204780i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.75371 | + | 9.26875i | −0.375371 | + | 0.926875i | ||||
\(101\) | 3.29801 | 0.328165 | 0.164082 | − | 0.986447i | \(-0.447534\pi\) | ||||
0.164082 | + | 0.986447i | \(0.447534\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 18.0227 | 1.77583 | 0.887913 | − | 0.460012i | \(-0.152155\pi\) | ||||
0.887913 | + | 0.460012i | \(0.152155\pi\) | |||||||
\(104\) | −7.16053 | − | 6.14098i | −0.702148 | − | 0.602173i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.68466 | + | 6.99614i | −0.163628 | + | 0.679526i | ||||
\(107\) | 10.9993 | 1.06334 | 0.531672 | − | 0.846950i | \(-0.321564\pi\) | ||||
0.531672 | + | 0.846950i | \(0.321564\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.9473i | 1.14435i | 0.820133 | + | 0.572173i | \(0.193900\pi\) | ||||
−0.820133 | + | 0.572173i | \(0.806100\pi\) | |||||||
\(110\) | 5.79117 | − | 3.90272i | 0.552167 | − | 0.372110i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.19342 | − | 3.03632i | −0.207259 | − | 0.286905i | ||||
\(113\) | 12.5435 | 1.17999 | 0.589996 | − | 0.807406i | \(-0.299129\pi\) | ||||
0.589996 | + | 0.807406i | \(0.299129\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.12311 | − | 5.59390i | 0.477732 | − | 0.521634i | ||||
\(116\) | 15.0441 | + | 7.69113i | 1.39681 | + | 0.714103i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.54042 | + | 14.7028i | −0.325922 | + | 1.35351i | ||||
\(119\) | −1.44600 | −0.132555 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.12311 | 0.556646 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.56155 | − | 14.7906i | 0.679047 | − | 1.32824i | ||||
\(125\) | −6.79903 | + | 8.87543i | −0.608124 | + | 0.793842i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.68213 | −0.415472 | −0.207736 | − | 0.978185i | \(-0.566609\pi\) | ||||
−0.207736 | + | 0.978185i | \(0.566609\pi\) | |||||||
\(128\) | −0.941346 | + | 11.2745i | −0.0832041 | + | 0.996533i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.89399 | − | 8.74597i | −0.516937 | − | 0.767072i | ||||
\(131\) | − | 0.620058i | − | 0.0541747i | −0.999633 | − | 0.0270874i | \(-0.991377\pi\) | ||
0.999633 | − | 0.0270874i | \(-0.00862323\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.92456 | 0.253591 | ||||||||
\(134\) | 4.02102 | − | 16.6987i | 0.347363 | − | 1.44255i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.31534 | + | 2.84329i | 0.284288 | + | 0.243810i | ||||
\(137\) | 1.54417 | 0.131928 | 0.0659638 | − | 0.997822i | \(-0.478988\pi\) | ||||
0.0659638 | + | 0.997822i | \(0.478988\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.0000 | −1.01783 | −0.508913 | − | 0.860818i | \(-0.669953\pi\) | ||||
−0.508913 | + | 0.860818i | \(0.669953\pi\) | |||||||
\(140\) | −1.46232 | − | 3.92422i | −0.123589 | − | 0.331657i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −16.1498 | − | 3.88884i | −1.35526 | − | 0.326345i | ||||
\(143\) | 7.36520i | 0.615909i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 13.9309 | + | 12.7584i | 1.15690 | + | 1.05953i | ||||
\(146\) | 1.85201 | − | 7.69113i | 0.153273 | − | 0.636522i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −13.5458 | − | 6.92516i | −1.11346 | − | 0.569245i | ||||
\(149\) | 1.85201 | 0.151722 | 0.0758612 | − | 0.997118i | \(-0.475829\pi\) | ||||
0.0758612 | + | 0.997118i | \(0.475829\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.6339i | 1.43503i | 0.696545 | + | 0.717513i | \(0.254720\pi\) | ||||
−0.696545 | + | 0.717513i | \(0.745280\pi\) | |||||||
\(152\) | −6.70531 | − | 5.75058i | −0.543872 | − | 0.466433i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.684658 | + | 2.84329i | −0.0551713 | + | 0.229119i | ||||
\(155\) | 12.5435 | − | 13.6962i | 1.00752 | − | 1.10010i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.80928 | 0.224205 | 0.112102 | − | 0.993697i | \(-0.464242\pi\) | ||||
0.112102 | + | 0.993697i | \(0.464242\pi\) | |||||||
\(158\) | 0.338519 | − | 1.40582i | 0.0269311 | − | 0.111841i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.36346 | + | 11.8727i | −0.344962 | + | 0.938617i | ||||
\(161\) | 3.17662i | 0.250353i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.5554i | 1.21839i | 0.793020 | + | 0.609195i | \(0.208508\pi\) | ||||
−0.793020 | + | 0.609195i | \(0.791492\pi\) | |||||||
\(164\) | 5.30852 | − | 10.3836i | 0.414526 | − | 0.810825i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −19.3693 | − | 4.66410i | −1.50335 | − | 0.362004i | ||||
\(167\) | 9.43318i | 0.729961i | 0.931015 | + | 0.364981i | \(0.118924\pi\) | ||||
−0.931015 | + | 0.364981i | \(0.881076\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.87689 | −0.144376 | ||||||||
\(170\) | 2.72893 | + | 4.04940i | 0.209299 | + | 0.310575i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.08084 | + | 13.8503i | −0.539909 | + | 1.05608i | ||||
\(173\) | − | 1.69614i | − | 0.128955i | −0.997919 | − | 0.0644776i | \(-0.979462\pi\) | ||
0.997919 | − | 0.0644776i | \(-0.0205381\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.410574 | − | 4.66410i | −0.0310364 | − | 0.352572i | ||||
\(176\) | 7.16053 | − | 5.17273i | 0.539745 | − | 0.389909i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.32920 | + | 17.9785i | −0.324487 | + | 1.34755i | ||||
\(179\) | 8.21342i | 0.613900i | 0.951726 | + | 0.306950i | \(0.0993084\pi\) | ||||
−0.951726 | + | 0.306950i | \(0.900692\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.66410i | 0.346680i | 0.984862 | + | 0.173340i | \(0.0554559\pi\) | ||||
−0.984862 | + | 0.173340i | \(0.944544\pi\) | |||||||
\(182\) | 4.29400 | + | 1.03399i | 0.318293 | + | 0.0766443i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.24621 | − | 7.28323i | 0.460477 | − | 0.536927i | ||||
\(185\) | −12.5435 | − | 11.4878i | −0.922215 | − | 0.844600i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 3.41011i | − | 0.249372i | ||||||
\(188\) | 9.79366 | − | 19.1567i | 0.714276 | − | 1.39714i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.51928 | − | 8.18996i | −0.400411 | − | 0.594162i | ||||
\(191\) | 13.1921 | 0.954544 | 0.477272 | − | 0.878756i | \(-0.341626\pi\) | ||||
0.477272 | + | 0.878756i | \(0.341626\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 23.3331i | − | 1.67955i | −0.542934 | − | 0.839775i | \(-0.682687\pi\) | ||
0.542934 | − | 0.839775i | \(-0.317313\pi\) | |||||||
\(194\) | 0.723002 | − | 3.00252i | 0.0519085 | − | 0.215569i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.9039 | − | 5.57450i | −0.778849 | − | 0.398179i | ||||
\(197\) | 4.92539i | 0.350920i | 0.984487 | + | 0.175460i | \(0.0561412\pi\) | ||||
−0.984487 | + | 0.175460i | \(0.943859\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.6339i | 1.25003i | 0.780611 | + | 0.625017i | \(0.214908\pi\) | ||||
−0.780611 | + | 0.625017i | \(0.785092\pi\) | |||||||
\(200\) | −8.22969 | + | 11.5010i | −0.581927 | + | 0.813241i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.53448 | + | 1.09190i | 0.319045 | + | 0.0768255i | ||||
\(203\) | −7.91096 | −0.555241 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.80604 | − | 9.61528i | 0.615041 | − | 0.671560i | ||||
\(206\) | 24.7796 | + | 5.96688i | 1.72648 | + | 0.415732i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.81198 | − | 10.8140i | −0.541663 | − | 0.749816i | ||||
\(209\) | 6.89697i | 0.477073i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.00000 | 0.275371 | 0.137686 | − | 0.990476i | \(-0.456034\pi\) | ||||
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(212\) | −4.63252 | + | 9.06134i | −0.318163 | + | 0.622336i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 15.1231 | + | 3.64162i | 1.03379 | + | 0.248936i | ||||
\(215\) | −11.7460 | + | 12.8255i | −0.801074 | + | 0.874689i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.77769i | 0.527984i | ||||||||
\(218\) | −3.95548 | + | 16.4265i | −0.267899 | + | 1.11255i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 9.25447 | − | 3.44859i | 0.623936 | − | 0.232504i | ||||
\(221\) | −5.15002 | −0.346428 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −21.9989 | −1.47316 | −0.736578 | − | 0.676352i | \(-0.763560\pi\) | ||||
−0.736578 | + | 0.676352i | \(0.763560\pi\) | |||||||
\(224\) | −2.01051 | − | 4.90086i | −0.134333 | − | 0.327453i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 17.2462 | + | 4.15286i | 1.14720 | + | 0.276244i | ||||
\(227\) | 3.08835 | 0.204981 | 0.102490 | − | 0.994734i | \(-0.467319\pi\) | ||||
0.102490 | + | 0.994734i | \(0.467319\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.61914i | 0.173077i | 0.996248 | + | 0.0865387i | \(0.0275806\pi\) | ||||
−0.996248 | + | 0.0865387i | \(0.972419\pi\) | |||||||
\(230\) | 8.89584 | − | 5.99498i | 0.586574 | − | 0.395298i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.1379 | + | 15.5554i | 1.19081 | + | 1.02126i | ||||
\(233\) | 20.4544 | 1.34002 | 0.670008 | − | 0.742354i | \(-0.266291\pi\) | ||||
0.670008 | + | 0.742354i | \(0.266291\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.2462 | − | 17.7392i | 1.05979 | − | 1.15718i | ||||
\(236\) | −9.73554 | + | 19.0430i | −0.633730 | + | 1.23959i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.98813 | − | 0.478739i | −0.128871 | − | 0.0310320i | ||||
\(239\) | 23.4921 | 1.51958 | 0.759789 | − | 0.650170i | \(-0.225302\pi\) | ||||
0.759789 | + | 0.650170i | \(0.225302\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.00000 | −0.257663 | −0.128831 | − | 0.991667i | \(-0.541123\pi\) | ||||
−0.128831 | + | 0.991667i | \(0.541123\pi\) | |||||||
\(242\) | 8.41874 | + | 2.02722i | 0.541177 | + | 0.130314i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −10.0970 | − | 9.24726i | −0.645076 | − | 0.590786i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.4160 | 0.662752 | ||||||||
\(248\) | 15.2933 | − | 17.8324i | 0.971126 | − | 1.13236i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −12.2865 | + | 9.95195i | −0.777068 | + | 0.629416i | ||||
\(251\) | − | 3.44849i | − | 0.217666i | −0.994060 | − | 0.108833i | \(-0.965289\pi\) | ||
0.994060 | − | 0.108833i | \(-0.0347114\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.49141 | −0.470981 | ||||||||
\(254\) | −6.43753 | − | 1.55014i | −0.403926 | − | 0.0972647i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.02699 | + | 15.1898i | −0.314187 | + | 0.949361i | ||||
\(257\) | −15.6318 | −0.975087 | −0.487543 | − | 0.873099i | \(-0.662107\pi\) | ||||
−0.487543 | + | 0.873099i | \(0.662107\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.12311 | 0.442608 | ||||||||
\(260\) | −5.20814 | − | 13.9763i | −0.322995 | − | 0.866774i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.205287 | − | 0.852526i | 0.0126827 | − | 0.0526693i | ||||
\(263\) | 14.7304i | 0.908316i | 0.890921 | + | 0.454158i | \(0.150060\pi\) | ||||
−0.890921 | + | 0.454158i | \(0.849940\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.68466 | + | 8.39084i | −0.472065 | + | 0.515445i | ||||
\(266\) | 4.02102 | + | 0.968253i | 0.246544 | + | 0.0593674i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 11.0571 | − | 21.6280i | 0.675420 | − | 1.32114i | ||||
\(269\) | −15.0441 | −0.917253 | −0.458626 | − | 0.888629i | \(-0.651658\pi\) | ||||
−0.458626 | + | 0.888629i | \(0.651658\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 10.3507i | − | 0.628758i | −0.949297 | − | 0.314379i | \(-0.898204\pi\) | ||
0.949297 | − | 0.314379i | \(-0.101796\pi\) | |||||||
\(272\) | 3.61696 | + | 5.00691i | 0.219311 | + | 0.303588i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.12311 | + | 0.511240i | 0.128262 | + | 0.0308851i | ||||
\(275\) | 10.9993 | − | 0.968253i | 0.663283 | − | 0.0583879i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.3459 | 1.40272 | 0.701360 | − | 0.712807i | \(-0.252576\pi\) | ||||
0.701360 | + | 0.712807i | \(0.252576\pi\) | |||||||
\(278\) | −16.4990 | − | 3.97292i | −0.989542 | − | 0.238280i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.711349 | − | 5.87961i | −0.0425112 | − | 0.351374i | ||||
\(281\) | − | 3.00252i | − | 0.179116i | −0.995982 | − | 0.0895578i | \(-0.971455\pi\) | ||
0.995982 | − | 0.0895578i | \(-0.0285454\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 23.3331i | 1.38701i | 0.720453 | + | 0.693503i | \(0.243934\pi\) | ||||
−0.720453 | + | 0.693503i | \(0.756066\pi\) | |||||||
\(284\) | −20.9171 | − | 10.6937i | −1.24120 | − | 0.634551i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.43845 | + | 10.1265i | −0.144188 | + | 0.598794i | ||||
\(287\) | 5.46026i | 0.322309i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.6155 | −0.859737 | ||||||||
\(290\) | 14.9297 | + | 22.1539i | 0.876704 | + | 1.30092i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.09271 | − | 9.96148i | 0.298028 | − | 0.582951i | ||||
\(293\) | − | 29.8326i | − | 1.74284i | −0.490536 | − | 0.871421i | \(-0.663199\pi\) | ||
0.490536 | − | 0.871421i | \(-0.336801\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.1498 | + | 17.6339i | −0.940278 | + | 1.02669i | ||||
\(296\) | −16.3316 | − | 14.0062i | −0.949253 | − | 0.814094i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.54635 | + | 0.613157i | 0.147506 | + | 0.0355192i | ||||
\(299\) | 11.3137i | 0.654289i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 7.28323i | − | 0.419799i | ||||||
\(302\) | −5.83817 | + | 24.2451i | −0.335949 | + | 1.39515i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.31534 | − | 10.1265i | −0.419564 | − | 0.580796i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.36758i | 0.249271i | 0.992203 | + | 0.124636i | \(0.0397762\pi\) | ||||
−0.992203 | + | 0.124636i | \(0.960224\pi\) | |||||||
\(308\) | −1.88269 | + | 3.68260i | −0.107276 | + | 0.209836i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 21.7807 | − | 14.6782i | 1.23706 | − | 0.833666i | ||||
\(311\) | 10.3000 | 0.584062 | 0.292031 | − | 0.956409i | \(-0.405669\pi\) | ||||
0.292031 | + | 0.956409i | \(0.405669\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 32.0682i | − | 1.81260i | −0.422631 | − | 0.906302i | \(-0.638893\pi\) | ||
0.422631 | − | 0.906302i | \(-0.361107\pi\) | |||||||
\(314\) | 3.86252 | + | 0.930087i | 0.217974 | + | 0.0524878i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.930870 | − | 1.82081i | 0.0523655 | − | 0.102428i | ||||
\(317\) | − | 24.5354i | − | 1.37805i | −0.724739 | − | 0.689023i | \(-0.758040\pi\) | ||
0.724739 | − | 0.689023i | \(-0.241960\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 18.6564i | − | 1.04456i | ||||||
\(320\) | −9.93015 | + | 14.8793i | −0.555112 | + | 0.831775i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.05171 | + | 4.36758i | −0.0586093 | + | 0.243396i | ||||
\(323\) | −4.82262 | −0.268338 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.46228 | − | 16.6114i | −0.0811127 | − | 0.921436i | ||||
\(326\) | −5.15002 | + | 21.3873i | −0.285233 | + | 1.18453i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.7365 | − | 12.5191i | 0.592826 | − | 0.691249i | ||||
\(329\) | 10.0736i | 0.555375i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.36932 | −0.0752645 | −0.0376322 | − | 0.999292i | \(-0.511982\pi\) | ||||
−0.0376322 | + | 0.999292i | \(0.511982\pi\) | |||||||
\(332\) | −25.0870 | − | 12.8255i | −1.37683 | − | 0.703889i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.12311 | + | 12.9698i | −0.170889 | + | 0.709676i | ||||
\(335\) | 18.3421 | − | 20.0276i | 1.00213 | − | 1.09423i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 29.8844i | 1.62791i | 0.580929 | + | 0.813954i | \(0.302690\pi\) | ||||
−0.580929 | + | 0.813954i | \(0.697310\pi\) | |||||||
\(338\) | −2.58057 | − | 0.621396i | −0.140364 | − | 0.0337995i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.41138 | + | 6.47107i | 0.130775 | + | 0.350943i | ||||
\(341\) | −18.3421 | −0.993279 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.2888 | 0.663534 | ||||||||
\(344\) | −14.3211 | + | 16.6987i | −0.772140 | + | 0.900334i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.561553 | − | 2.33205i | 0.0301893 | − | 0.125372i | ||||
\(347\) | −14.0877 | −0.756265 | −0.378133 | − | 0.925751i | \(-0.623434\pi\) | ||||
−0.378133 | + | 0.925751i | \(0.623434\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 33.2228i | − | 1.77838i | −0.457540 | − | 0.889189i | \(-0.651269\pi\) | ||
0.457540 | − | 0.889189i | \(-0.348731\pi\) | |||||||
\(350\) | 0.979670 | − | 6.54866i | 0.0523656 | − | 0.350041i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 11.5577 | − | 4.74137i | 0.616027 | − | 0.252716i | ||||
\(353\) | −7.72087 | −0.410940 | −0.205470 | − | 0.978663i | \(-0.565872\pi\) | ||||
−0.205470 | + | 0.978663i | \(0.565872\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −19.3693 | − | 17.7392i | −1.02802 | − | 0.941497i | ||||
\(356\) | −11.9045 | + | 23.2856i | −0.630940 | + | 1.23414i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.71927 | + | 11.2927i | −0.143718 | + | 0.596840i | ||||
\(359\) | −1.44600 | −0.0763172 | −0.0381586 | − | 0.999272i | \(-0.512149\pi\) | ||||
−0.0381586 | + | 0.999272i | \(0.512149\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.24621 | −0.486643 | ||||||||
\(362\) | −1.54417 | + | 6.41273i | −0.0811600 | + | 0.337046i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.56155 | + | 2.84329i | 0.291505 | + | 0.149029i | ||||
\(365\) | 8.44804 | − | 9.22437i | 0.442190 | − | 0.482826i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −32.4149 | −1.69204 | −0.846022 | − | 0.533148i | \(-0.821009\pi\) | ||||
−0.846022 | + | 0.533148i | \(0.821009\pi\) | |||||||
\(368\) | 10.9993 | − | 7.94584i | 0.573379 | − | 0.414206i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −13.4429 | − | 19.9476i | −0.698861 | − | 1.03703i | ||||
\(371\) | − | 4.76493i | − | 0.247383i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.47954 | −0.490832 | −0.245416 | − | 0.969418i | \(-0.578925\pi\) | ||||
−0.245416 | + | 0.969418i | \(0.578925\pi\) | |||||||
\(374\) | 1.12901 | − | 4.68860i | 0.0583795 | − | 0.242442i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 19.8078 | − | 23.0963i | 1.02151 | − | 1.19110i | ||||
\(377\) | −28.1753 | −1.45110 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.4924 | −0.847159 | −0.423579 | − | 0.905859i | \(-0.639227\pi\) | ||||
−0.423579 | + | 0.905859i | \(0.639227\pi\) | |||||||
\(380\) | −4.87704 | − | 13.0878i | −0.250187 | − | 0.671390i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.1379 | + | 4.36758i | 0.928018 | + | 0.223465i | ||||
\(383\) | − | 10.0138i | − | 0.511682i | −0.966719 | − | 0.255841i | \(-0.917648\pi\) | ||
0.966719 | − | 0.255841i | \(-0.0823524\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.12311 | + | 3.41011i | −0.159168 | + | 0.173795i | ||||
\(386\) | 7.72503 | − | 32.0810i | 0.393194 | − | 1.63288i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.98813 | − | 3.88884i | 0.100932 | − | 0.197426i | ||||
\(389\) | 9.89404 | 0.501648 | 0.250824 | − | 0.968033i | \(-0.419298\pi\) | ||||
0.250824 | + | 0.968033i | \(0.419298\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 5.23827i | − | 0.264911i | ||||||
\(392\) | −13.1463 | − | 11.2745i | −0.663989 | − | 0.569447i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.63068 | + | 6.77199i | −0.0821526 | + | 0.341168i | ||||
\(395\) | 1.54417 | − | 1.68608i | 0.0776958 | − | 0.0848357i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.3007 | 0.516977 | 0.258488 | − | 0.966014i | \(-0.416776\pi\) | ||||
0.258488 | + | 0.966014i | \(0.416776\pi\) | |||||||
\(398\) | −5.83817 | + | 24.2451i | −0.292641 | + | 1.21530i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −15.1228 | + | 13.0882i | −0.756141 | + | 0.654409i | ||||
\(401\) | − | 0.522293i | − | 0.0260821i | −0.999915 | − | 0.0130410i | \(-0.995849\pi\) | ||
0.999915 | − | 0.0130410i | \(-0.00415121\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 27.7006i | 1.37987i | ||||||||
\(404\) | 5.87302 | + | 3.00252i | 0.292194 | + | 0.149381i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −10.8769 | − | 2.61914i | −0.539811 | − | 0.129986i | ||||
\(407\) | 16.7984i | 0.832665i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.12311 | 0.154428 | 0.0772138 | − | 0.997015i | \(-0.475398\pi\) | ||||
0.0772138 | + | 0.997015i | \(0.475398\pi\) | |||||||
\(410\) | 15.2909 | − | 10.3047i | 0.755166 | − | 0.508913i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 32.0943 | + | 16.4079i | 1.58117 | + | 0.808359i | ||||
\(413\) | − | 10.0138i | − | 0.492748i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −23.2306 | − | 21.2755i | −1.14035 | − | 1.04437i | ||||
\(416\) | −7.16053 | − | 17.4547i | −0.351074 | − | 0.855787i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.28343 | + | 9.48274i | −0.111686 | + | 0.463816i | ||||
\(419\) | − | 32.4291i | − | 1.58427i | −0.610348 | − | 0.792134i | \(-0.708970\pi\) | ||
0.610348 | − | 0.792134i | \(-0.291030\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 30.6037i | − | 1.49153i | −0.666207 | − | 0.745767i | \(-0.732083\pi\) | ||
0.666207 | − | 0.745767i | \(-0.267917\pi\) | |||||||
\(422\) | 5.49966 | + | 1.32431i | 0.267719 | + | 0.0644663i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.36932 | + | 10.9248i | −0.455014 | + | 0.530558i | ||||
\(425\) | 0.677039 | + | 7.69113i | 0.0328412 | + | 0.373074i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 19.5873 | + | 10.0138i | 0.946789 | + | 0.484036i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −20.3960 | + | 13.7451i | −0.983583 | + | 0.662846i | ||||
\(431\) | 1.44600 | 0.0696516 | 0.0348258 | − | 0.999393i | \(-0.488912\pi\) | ||||
0.0348258 | + | 0.999393i | \(0.488912\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 15.5554i | − | 0.747544i | −0.927521 | − | 0.373772i | \(-0.878064\pi\) | ||
0.927521 | − | 0.373772i | \(-0.121936\pi\) | |||||||
\(434\) | −2.57501 | + | 10.6937i | −0.123604 | + | 0.513312i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.8769 | + | 21.2755i | −0.520909 | + | 1.01891i | ||||
\(437\) | 10.5945i | 0.506802i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.9621i | 1.28683i | 0.765517 | + | 0.643415i | \(0.222483\pi\) | ||||
−0.765517 | + | 0.643415i | \(0.777517\pi\) | |||||||
\(440\) | 13.8658 | − | 1.67757i | 0.661028 | − | 0.0799750i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7.08084 | − | 1.70505i | −0.336801 | − | 0.0811011i | ||||
\(443\) | −25.0870 | −1.19192 | −0.595959 | − | 0.803015i | \(-0.703228\pi\) | ||||
−0.595959 | + | 0.803015i | \(0.703228\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −19.7479 | + | 21.5626i | −0.936139 | + | 1.02217i | ||||
\(446\) | −30.2466 | − | 7.28333i | −1.43222 | − | 0.344876i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.14171 | − | 7.40390i | −0.0539409 | − | 0.349801i | ||||
\(449\) | − | 9.89949i | − | 0.467186i | −0.972334 | − | 0.233593i | \(-0.924952\pi\) | ||
0.972334 | − | 0.233593i | \(-0.0750483\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.8769 | −0.606349 | ||||||||
\(452\) | 22.3371 | + | 11.4196i | 1.05065 | + | 0.537135i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.24621 | + | 1.02248i | 0.199285 | + | 0.0479874i | ||||
\(455\) | 5.15002 | + | 4.71659i | 0.241437 | + | 0.221117i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.3716i | 0.625496i | 0.949836 | + | 0.312748i | \(0.101250\pi\) | ||||
−0.949836 | + | 0.312748i | \(0.898750\pi\) | |||||||
\(458\) | −0.867135 | + | 3.60109i | −0.0405186 | + | 0.168268i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.2158 | − | 5.29738i | 0.662816 | − | 0.246992i | ||||
\(461\) | 1.85201 | 0.0862567 | 0.0431283 | − | 0.999070i | \(-0.486268\pi\) | ||||
0.0431283 | + | 0.999070i | \(0.486268\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.2252 | −0.614629 | −0.307315 | − | 0.951608i | \(-0.599430\pi\) | ||||
−0.307315 | + | 0.951608i | \(0.599430\pi\) | |||||||
\(464\) | 19.7881 | + | 27.3924i | 0.918639 | + | 1.27166i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 28.1231 | + | 6.77199i | 1.30278 | + | 0.313706i | ||||
\(467\) | 18.9103 | 0.875063 | 0.437532 | − | 0.899203i | \(-0.355853\pi\) | ||||
0.437532 | + | 0.899203i | \(0.355853\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.3732i | 0.525163i | ||||||||
\(470\) | 28.2102 | − | 19.0111i | 1.30124 | − | 0.876916i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −19.6902 | + | 22.9593i | −0.906316 | + | 1.05679i | ||||
\(473\) | 17.1760 | 0.789754 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.36932 | − | 15.5554i | −0.0628286 | − | 0.713730i | ||||
\(476\) | −2.57501 | − | 1.31645i | −0.118025 | − | 0.0603393i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 32.2996 | + | 7.77769i | 1.47735 | + | 0.355743i | ||||
\(479\) | 14.6381 | 0.668830 | 0.334415 | − | 0.942426i | \(-0.391461\pi\) | ||||
0.334415 | + | 0.942426i | \(0.391461\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 25.3693 | 1.15674 | ||||||||
\(482\) | −5.49966 | − | 1.32431i | −0.250502 | − | 0.0603205i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.9039 | + | 5.57450i | 0.495631 | + | 0.253386i | ||||
\(485\) | 3.29801 | − | 3.60109i | 0.149755 | − | 0.163517i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.4903 | 1.33633 | 0.668167 | − | 0.744011i | \(-0.267079\pi\) | ||||
0.668167 | + | 0.744011i | \(0.267079\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −10.8210 | − | 16.0571i | −0.488843 | − | 0.725385i | ||||
\(491\) | − | 16.3505i | − | 0.737888i | −0.929452 | − | 0.368944i | \(-0.879719\pi\) | ||
0.929452 | − | 0.368944i | \(-0.120281\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.0452 | 0.587528 | ||||||||
\(494\) | 14.3211 | + | 3.44849i | 0.644335 | + | 0.155155i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 26.9309 | − | 19.4547i | 1.20923 | − | 0.873542i | ||||
\(497\) | 10.9993 | 0.493387 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.8769 | 0.755514 | 0.377757 | − | 0.925905i | \(-0.376696\pi\) | ||||
0.377757 | + | 0.925905i | \(0.376696\pi\) | |||||||
\(500\) | −20.1878 | + | 9.61529i | −0.902825 | + | 0.430009i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.14171 | − | 4.74137i | 0.0509572 | − | 0.211618i | ||||
\(503\) | 16.0547i | 0.715844i | 0.933751 | + | 0.357922i | \(0.116515\pi\) | ||||
−0.933751 | + | 0.357922i | \(0.883485\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.43845 | + | 4.98074i | 0.242008 | + | 0.221640i | ||||
\(506\) | −10.3000 | − | 2.48023i | −0.457893 | − | 0.110260i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.33783 | − | 4.26263i | −0.369931 | − | 0.189124i | ||||
\(509\) | 3.29801 | 0.146182 | 0.0730909 | − | 0.997325i | \(-0.476714\pi\) | ||||
0.0730909 | + | 0.997325i | \(0.476714\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.23827i | 0.231728i | ||||||||
\(512\) | −11.9407 | + | 19.2203i | −0.527707 | + | 0.849426i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.4924 | − | 5.17534i | −0.947990 | − | 0.228274i | ||||
\(515\) | 29.7195 | + | 27.2183i | 1.30960 | + | 1.19938i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −23.7565 | −1.04481 | ||||||||
\(518\) | 9.79366 | + | 2.35829i | 0.430309 | + | 0.103618i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.53351 | − | 20.9405i | −0.111102 | − | 0.918303i | ||||
\(521\) | − | 2.65433i | − | 0.116288i | −0.998308 | − | 0.0581441i | \(-0.981482\pi\) | ||
0.998308 | − | 0.0581441i | \(-0.0185183\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 4.36758i | − | 0.190981i | −0.995430 | − | 0.0954905i | \(-0.969558\pi\) | ||
0.995430 | − | 0.0954905i | \(-0.0304420\pi\) | |||||||
\(524\) | 0.564503 | − | 1.10418i | 0.0246604 | − | 0.0482365i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.87689 | + | 20.2530i | −0.212643 | + | 0.883074i | ||||
\(527\) | − | 12.8255i | − | 0.558686i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4924 | 0.499671 | ||||||||
\(530\) | −13.3438 | + | 8.99248i | −0.579616 | + | 0.390608i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 5.20798 | + | 2.66253i | 0.225795 | + | 0.115435i | ||||
\(533\) | 19.4470i | 0.842343i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.1379 | + | 16.6114i | 0.784172 | + | 0.718174i | ||||
\(536\) | 22.3631 | − | 26.0759i | 0.965939 | − | 1.12631i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −20.6843 | − | 4.98074i | −0.891763 | − | 0.214735i | ||||
\(539\) | 13.5221i | 0.582437i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.90237i | 0.425736i | 0.977081 | + | 0.212868i | \(0.0682804\pi\) | ||||
−0.977081 | + | 0.212868i | \(0.931720\pi\) | |||||||
\(542\) | 3.42687 | − | 14.2313i | 0.147197 | − | 0.611286i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.31534 | + | 8.08156i | 0.142144 | + | 0.346494i | ||||
\(545\) | −18.0431 | + | 19.7012i | −0.772883 | + | 0.843908i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.5129i | 0.706039i | 0.935616 | + | 0.353019i | \(0.114845\pi\) | ||||
−0.935616 | + | 0.353019i | \(0.885155\pi\) | |||||||
\(548\) | 2.74983 | + | 1.40582i | 0.117467 | + | 0.0600537i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 15.4437 | + | 2.31035i | 0.658520 | + | 0.0985137i | ||||
\(551\) | −26.3841 | −1.12400 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.957477i | 0.0407161i | ||||||||
\(554\) | 32.0986 | + | 7.72929i | 1.36374 | + | 0.328386i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −21.3693 | − | 10.9248i | −0.906261 | − | 0.463317i | ||||
\(557\) | 32.6443i | 1.38318i | 0.722289 | + | 0.691591i | \(0.243090\pi\) | ||||
−0.722289 | + | 0.691591i | \(0.756910\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 25.9396i | − | 1.09713i | ||||||
\(560\) | 0.968557 | − | 8.31946i | 0.0409290 | − | 0.351561i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.994066 | − | 4.12821i | 0.0419321 | − | 0.174138i | ||||
\(563\) | 14.0877 | 0.593724 | 0.296862 | − | 0.954920i | \(-0.404060\pi\) | ||||
0.296862 | + | 0.954920i | \(0.404060\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.6843 | + | 18.9435i | 0.870195 | + | 0.796958i | ||||
\(566\) | −7.72503 | + | 32.0810i | −0.324707 | + | 1.34846i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −25.2188 | − | 21.6280i | −1.05816 | − | 0.907491i | ||||
\(569\) | − | 30.0467i | − | 1.25962i | −0.776748 | − | 0.629811i | \(-0.783132\pi\) | ||
0.776748 | − | 0.629811i | \(-0.216868\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 33.8617 | 1.41707 | 0.708535 | − | 0.705676i | \(-0.249356\pi\) | ||||
0.708535 | + | 0.705676i | \(0.249356\pi\) | |||||||
\(572\) | −6.70531 | + | 13.1158i | −0.280363 | + | 0.548398i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.80776 | + | 7.50738i | −0.0754546 | + | 0.313352i | ||||
\(575\) | 16.8961 | − | 1.48734i | 0.704615 | − | 0.0620262i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 7.77769i | − | 0.323789i | −0.986808 | − | 0.161895i | \(-0.948240\pi\) | ||
0.986808 | − | 0.161895i | \(-0.0517605\pi\) | |||||||
\(578\) | −20.0951 | − | 4.83886i | −0.835846 | − | 0.201270i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 13.1924 | + | 35.4026i | 0.547786 | + | 1.47001i | ||||
\(581\) | 13.1921 | 0.547299 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.2371 | 0.465394 | ||||||||
\(584\) | 10.3000 | − | 12.0101i | 0.426219 | − | 0.496981i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.87689 | − | 41.0173i | 0.408011 | − | 1.69441i | ||||
\(587\) | −10.9993 | −0.453990 | −0.226995 | − | 0.973896i | \(-0.572890\pi\) | ||||
−0.226995 | + | 0.973896i | \(0.572890\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 25.9396i | 1.06882i | ||||||||
\(590\) | −28.0428 | + | 18.8983i | −1.15450 | + | 0.778030i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −17.8174 | − | 24.6643i | −0.732290 | − | 1.01370i | ||||
\(593\) | 43.8071 | 1.79894 | 0.899472 | − | 0.436978i | \(-0.143951\pi\) | ||||
0.899472 | + | 0.436978i | \(0.143951\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.38447 | − | 2.18379i | −0.0977538 | − | 0.0895267i | ||||
\(596\) | 3.29801 | + | 1.68608i | 0.135092 | + | 0.0690644i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.74571 | + | 15.5554i | −0.153173 | + | 0.636107i | ||||
\(599\) | −45.5382 | −1.86064 | −0.930320 | − | 0.366749i | \(-0.880471\pi\) | ||||
−0.930320 | + | 0.366749i | \(0.880471\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.3693 | −0.953254 | −0.476627 | − | 0.879106i | \(-0.658141\pi\) | ||||
−0.476627 | + | 0.879106i | \(0.658141\pi\) | |||||||
\(602\) | 2.41131 | − | 10.0138i | 0.0982776 | − | 0.408133i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −16.0540 | + | 31.4020i | −0.653227 | + | 1.27773i | ||||
\(605\) | 10.0970 | + | 9.24726i | 0.410503 | + | 0.375955i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.71010 | 0.394121 | 0.197060 | − | 0.980391i | \(-0.436860\pi\) | ||||
0.197060 | + | 0.980391i | \(0.436860\pi\) | |||||||
\(608\) | −6.70531 | − | 16.3450i | −0.271936 | − | 0.662879i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 35.8776i | 1.45145i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.8718 | −0.964172 | −0.482086 | − | 0.876124i | \(-0.660121\pi\) | ||||
−0.482086 | + | 0.876124i | \(0.660121\pi\) | |||||||
\(614\) | −1.44600 | + | 6.00505i | −0.0583560 | + | 0.242344i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.80776 | + | 4.43994i | −0.153419 | + | 0.178890i | ||||
\(617\) | 15.6318 | 0.629314 | 0.314657 | − | 0.949205i | \(-0.398111\pi\) | ||||
0.314657 | + | 0.949205i | \(0.398111\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.7386 | 0.753169 | 0.376585 | − | 0.926382i | \(-0.377098\pi\) | ||||
0.376585 | + | 0.926382i | \(0.377098\pi\) | |||||||
\(620\) | 34.8062 | − | 12.9702i | 1.39785 | − | 0.520895i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14.1617 | + | 3.41011i | 0.567831 | + | 0.136733i | ||||
\(623\) | − | 12.2448i | − | 0.490578i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.6155 | + | 4.36758i | −0.984621 | + | 0.174703i | ||||
\(626\) | 10.6170 | − | 44.0911i | 0.424342 | − | 1.76223i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 5.00270 | + | 2.55758i | 0.199629 | + | 0.102059i | ||||
\(629\) | −11.7460 | −0.468346 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.6339i | 0.701995i | 0.936376 | + | 0.350997i | \(0.114157\pi\) | ||||
−0.936376 | + | 0.350997i | \(0.885843\pi\) | |||||||
\(632\) | 1.88269 | − | 2.19526i | 0.0748895 | − | 0.0873229i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.12311 | − | 33.7341i | 0.322610 | − | 1.33975i | ||||
\(635\) | −7.72087 | − | 7.07107i | −0.306393 | − | 0.280607i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 20.4214 | 0.809124 | ||||||||
\(638\) | 6.17669 | − | 25.6509i | 0.244538 | − | 1.01553i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −18.5793 | + | 17.1700i | −0.734410 | + | 0.678706i | ||||
\(641\) | − | 7.07107i | − | 0.279290i | −0.990202 | − | 0.139645i | \(-0.955404\pi\) | ||
0.990202 | − | 0.139645i | \(-0.0445962\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 8.73516i | − | 0.344481i | −0.985055 | − | 0.172241i | \(-0.944899\pi\) | ||
0.985055 | − | 0.172241i | \(-0.0551007\pi\) | |||||||
\(644\) | −2.89201 | + | 5.65685i | −0.113961 | + | 0.222911i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.63068 | − | 1.59666i | −0.260881 | − | 0.0628196i | ||||
\(647\) | 1.32431i | 0.0520639i | 0.999661 | + | 0.0260319i | \(0.00828716\pi\) | ||||
−0.999661 | + | 0.0260319i | \(0.991713\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 23.6155 | 0.926991 | ||||||||
\(650\) | 3.48915 | − | 23.3234i | 0.136856 | − | 0.914819i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −14.1617 | + | 27.7006i | −0.554614 | + | 1.08484i | ||||
\(653\) | 15.8459i | 0.620098i | 0.950721 | + | 0.310049i | \(0.100346\pi\) | ||||
−0.950721 | + | 0.310049i | \(0.899654\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.936426 | − | 1.02248i | 0.0365892 | − | 0.0399516i | ||||
\(656\) | 18.9066 | − | 13.6580i | 0.738178 | − | 0.533256i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.33513 | + | 13.8503i | −0.130017 | + | 0.539942i | ||||
\(659\) | − | 33.3211i | − | 1.29800i | −0.760786 | − | 0.649002i | \(-0.775187\pi\) | ||
0.760786 | − | 0.649002i | \(-0.224813\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 44.5960i | 1.73458i | 0.497800 | + | 0.867292i | \(0.334141\pi\) | ||||
−0.497800 | + | 0.867292i | \(0.665859\pi\) | |||||||
\(662\) | −1.88269 | − | 0.453349i | −0.0731729 | − | 0.0176199i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −30.2462 | − | 25.9396i | −1.17378 | − | 1.00665i | ||||
\(665\) | 4.82262 | + | 4.41674i | 0.187013 | + | 0.171274i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 28.6581i | − | 1.10965i | ||||||
\(668\) | −8.58800 | + | 16.7984i | −0.332280 | + | 0.649949i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 31.8495 | − | 21.4636i | 1.23045 | − | 0.829213i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(674\) | −9.89404 | + | 41.0885i | −0.381104 | + | 1.58267i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.34233 | − | 1.70873i | −0.128551 | − | 0.0657205i | ||||
\(677\) | 5.25145i | 0.201830i | 0.994895 | + | 0.100915i | \(0.0321770\pi\) | ||||
−0.994895 | + | 0.100915i | \(0.967823\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.04496i | 0.0784783i | ||||||||
\(680\) | 1.17302 | + | 9.69551i | 0.0449832 | + | 0.371806i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −25.2188 | − | 6.07263i | −0.965677 | − | 0.232533i | ||||
\(683\) | −20.2644 | −0.775394 | −0.387697 | − | 0.921787i | \(-0.626729\pi\) | ||||
−0.387697 | + | 0.921787i | \(0.626729\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.54635 | + | 2.33205i | 0.0972911 | + | 0.0891030i | ||||
\(686\) | 16.8961 | + | 4.06854i | 0.645095 | + | 0.155338i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −25.2188 | + | 18.2179i | −0.961457 | + | 0.694551i | ||||
\(689\) | − | 16.9706i | − | 0.646527i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.1231 | −0.879644 | −0.439822 | − | 0.898085i | \(-0.644959\pi\) | ||||
−0.439822 | + | 0.898085i | \(0.644959\pi\) | |||||||
\(692\) | 1.54417 | − | 3.02045i | 0.0587007 | − | 0.114820i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.3693 | − | 4.66410i | −0.735249 | − | 0.177047i | ||||
\(695\) | −19.7881 | − | 18.1227i | −0.750605 | − | 0.687433i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 9.00400i | − | 0.341051i | ||||||
\(698\) | 10.9993 | − | 45.6786i | 0.416330 | − | 1.72896i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.51507 | − | 8.67950i | 0.132857 | − | 0.328054i | ||||
\(701\) | 20.1941 | 0.762720 | 0.381360 | − | 0.924427i | \(-0.375456\pi\) | ||||
0.381360 | + | 0.924427i | \(0.375456\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 23.7565 | 0.895993 | ||||||||
\(704\) | 17.4606 | − | 2.69250i | 0.658070 | − | 0.101477i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.6155 | − | 2.55620i | −0.399521 | − | 0.0962038i | ||||
\(707\) | −3.08835 | −0.116149 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 30.6037i | − | 1.14935i | −0.818383 | − | 0.574673i | \(-0.805129\pi\) | ||
0.818383 | − | 0.574673i | \(-0.194871\pi\) | |||||||
\(710\) | −20.7581 | − | 30.8026i | −0.779038 | − | 1.15600i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −24.0771 | + | 28.0744i | −0.902326 | + | 1.05213i | ||||
\(713\) | −28.1753 | −1.05517 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.1231 | + | 12.1453i | −0.415981 | + | 0.454207i | ||||
\(716\) | −7.47753 | + | 14.6263i | −0.279448 | + | 0.546609i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.98813 | − | 0.478739i | −0.0741964 | − | 0.0178664i | ||||
\(719\) | −32.3461 | −1.20631 | −0.603154 | − | 0.797625i | \(-0.706089\pi\) | ||||
−0.603154 | + | 0.797625i | \(0.706089\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.8769 | −0.628528 | ||||||||
\(722\) | −12.7127 | − | 3.06121i | −0.473119 | − | 0.113926i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.24621 | + | 8.30571i | −0.157809 | + | 0.308679i | ||||
\(725\) | 3.70402 | + | 42.0775i | 0.137564 | + | 1.56272i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.47954 | 0.351577 | 0.175788 | − | 0.984428i | \(-0.443753\pi\) | ||||
0.175788 | + | 0.984428i | \(0.443753\pi\) | |||||||
\(728\) | 6.70531 | + | 5.75058i | 0.248515 | + | 0.213131i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.6693 | − | 9.88577i | 0.542935 | − | 0.365889i | ||||
\(731\) | 12.0101i | 0.444210i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.6002 | −0.723951 | −0.361975 | − | 0.932188i | \(-0.617898\pi\) | ||||
−0.361975 | + | 0.932188i | \(0.617898\pi\) | |||||||
\(734\) | −44.5677 | − | 10.7318i | −1.64502 | − | 0.396119i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 17.7538 | − | 7.28323i | 0.654413 | − | 0.268463i | ||||
\(737\) | −26.8212 | −0.987973 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 35.6155 | 1.31014 | 0.655069 | − | 0.755569i | \(-0.272639\pi\) | ||||
0.655069 | + | 0.755569i | \(0.272639\pi\) | |||||||
\(740\) | −11.8786 | − | 31.8769i | −0.436666 | − | 1.17182i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.57756 | − | 6.55137i | 0.0579140 | − | 0.240508i | ||||
\(743\) | − | 10.0138i | − | 0.367371i | −0.982985 | − | 0.183686i | \(-0.941197\pi\) | ||
0.982985 | − | 0.183686i | \(-0.0588028\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.05398 | + | 2.79695i | 0.111889 | + | 0.102472i | ||||
\(746\) | −13.0336 | − | 3.13846i | −0.477192 | − | 0.114907i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.10457 | − | 6.07263i | 0.113514 | − | 0.222038i | ||||
\(749\) | −10.3000 | −0.376355 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 41.5286i | − | 1.51540i | −0.652604 | − | 0.757699i | \(-0.726323\pi\) | ||
0.652604 | − | 0.757699i | \(-0.273677\pi\) | |||||||
\(752\) | 34.8806 | − | 25.1976i | 1.27197 | − | 0.918861i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −38.7386 | − | 9.32819i | −1.41078 | − | 0.339713i | ||||
\(755\) | −26.6311 | + | 29.0784i | −0.969207 | + | 1.05827i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.33513 | −0.121217 | −0.0606087 | − | 0.998162i | \(-0.519304\pi\) | ||||
−0.0606087 | + | 0.998162i | \(0.519304\pi\) | |||||||
\(758\) | −22.6757 | − | 5.46026i | −0.823617 | − | 0.198325i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.37244 | − | 19.6093i | −0.0860576 | − | 0.711303i | ||||
\(761\) | 49.3019i | 1.78719i | 0.448870 | + | 0.893597i | \(0.351827\pi\) | ||||
−0.448870 | + | 0.893597i | \(0.648173\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 11.1878i | − | 0.405025i | ||||||
\(764\) | 23.4921 | + | 12.0101i | 0.849914 | + | 0.434510i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.31534 | − | 13.7681i | 0.119788 | − | 0.497463i | ||||
\(767\) | − | 35.6647i | − | 1.28778i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.6155 | 0.923720 | 0.461860 | − | 0.886953i | \(-0.347182\pi\) | ||||
0.461860 | + | 0.886953i | \(0.347182\pi\) | |||||||
\(770\) | −5.42301 | + | 3.65461i | −0.195432 | + | 0.131703i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 21.2425 | − | 41.5510i | 0.764535 | − | 1.49545i | ||||
\(773\) | − | 2.27678i | − | 0.0818901i | −0.999161 | − | 0.0409450i | \(-0.986963\pi\) | ||
0.999161 | − | 0.0409450i | \(-0.0130369\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 41.3686 | − | 3.64162i | 1.48600 | − | 0.130811i | ||||
\(776\) | 4.02102 | − | 4.68860i | 0.144346 | − | 0.168311i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 13.6035 | + | 3.27569i | 0.487707 | + | 0.117439i | ||||
\(779\) | 18.2107i | 0.652465i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 25.9396i | 0.928192i | ||||||||
\(782\) | 1.73427 | − | 7.20217i | 0.0620174 | − | 0.257549i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −14.3423 | − | 19.8539i | −0.512226 | − | 0.709067i | ||||
\(785\) | 4.63252 | + | 4.24264i | 0.165342 | + | 0.151426i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 19.9230i | − | 0.710177i | −0.934833 | − | 0.355088i | \(-0.884451\pi\) | ||
0.934833 | − | 0.355088i | \(-0.115549\pi\) | |||||||
\(788\) | −4.48410 | + | 8.77102i | −0.159739 | + | 0.312455i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.68133 | − | 1.80697i | 0.0953973 | − | 0.0642891i | ||||
\(791\) | −11.7460 | −0.417641 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 14.1626 | + | 3.41032i | 0.502611 | + | 0.121028i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −16.0540 | + | 31.4020i | −0.569018 | + | 1.11302i | ||||
\(797\) | − | 15.6829i | − | 0.555516i | −0.960651 | − | 0.277758i | \(-0.910409\pi\) | ||
0.960651 | − | 0.277758i | \(-0.0895913\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 16.6114i | − | 0.587670i | ||||||
\(800\) | −25.1258 | + | 12.9883i | −0.888330 | + | 0.459206i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.172919 | − | 0.718108i | 0.00610598 | − | 0.0253573i | ||||
\(803\) | −12.3534 | −0.435942 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.79741 | + | 5.23827i | −0.169087 | + | 0.184625i | ||||
\(806\) | −9.17104 | + | 38.0860i | −0.323036 | + | 1.34152i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.08084 | + | 6.07263i | 0.249103 | + | 0.213635i | ||||
\(809\) | − | 20.6695i | − | 0.726700i | −0.931653 | − | 0.363350i | \(-0.881633\pi\) | ||
0.931653 | − | 0.363350i | \(-0.118367\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −49.4773 | −1.73738 | −0.868691 | − | 0.495354i | \(-0.835038\pi\) | ||||
−0.868691 | + | 0.495354i | \(0.835038\pi\) | |||||||
\(812\) | −14.0877 | − | 7.20217i | −0.494380 | − | 0.252747i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −5.56155 | + | 23.0963i | −0.194932 | + | 0.809526i | ||||
\(815\) | −23.4921 | + | 25.6509i | −0.822892 | + | 0.898513i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 24.2905i | − | 0.849818i | ||||||
\(818\) | 4.29400 | + | 1.03399i | 0.150136 | + | 0.0361525i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 24.4354 | − | 9.10561i | 0.853321 | − | 0.317982i | ||||
\(821\) | 12.1521 | 0.424110 | 0.212055 | − | 0.977258i | \(-0.431984\pi\) | ||||
0.212055 | + | 0.977258i | \(0.431984\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 28.6692 | 0.999345 | 0.499673 | − | 0.866214i | \(-0.333454\pi\) | ||||
0.499673 | + | 0.866214i | \(0.333454\pi\) | |||||||
\(824\) | 38.6947 | + | 33.1851i | 1.34799 | + | 1.15606i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.31534 | − | 13.7681i | 0.115355 | − | 0.479055i | ||||
\(827\) | 39.1746 | 1.36224 | 0.681118 | − | 0.732174i | \(-0.261494\pi\) | ||||
0.681118 | + | 0.732174i | \(0.261494\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.66410i | 0.161991i | 0.996714 | + | 0.0809954i | \(0.0258099\pi\) | ||||
−0.996714 | + | 0.0809954i | \(0.974190\pi\) | |||||||
\(830\) | −24.8963 | − | 36.9431i | −0.864163 | − | 1.28231i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.06627 | − | 26.3694i | −0.140973 | − | 0.914194i | ||||
\(833\) | −9.45514 | −0.327601 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.2462 | + | 15.5554i | −0.493010 | + | 0.538316i | ||||
\(836\) | −6.27903 | + | 12.2820i | −0.217165 | + | 0.424781i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 10.7365 | − | 44.5873i | 0.370887 | − | 1.54024i | ||||
\(839\) | −24.9381 | −0.860959 | −0.430479 | − | 0.902600i | \(-0.641656\pi\) | ||||
−0.430479 | + | 0.902600i | \(0.641656\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 42.3693 | 1.46101 | ||||||||
\(842\) | 10.1322 | − | 42.0775i | 0.349178 | − | 1.45009i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 7.12311 | + | 3.64162i | 0.245187 | + | 0.125350i | ||||
\(845\) | −3.09501 | − | 2.83453i | −0.106472 | − | 0.0975108i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.73384 | −0.197017 | ||||||||
\(848\) | −16.4990 | + | 11.9188i | −0.566577 | + | 0.409292i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.61548 | + | 10.7988i | −0.0554106 | + | 0.370395i | ||||
\(851\) | 25.8040i | 0.884551i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 45.5249 | 1.55874 | 0.779371 | − | 0.626563i | \(-0.215539\pi\) | ||||
0.779371 | + | 0.626563i | \(0.215539\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 23.6155 | + | 20.2530i | 0.807162 | + | 0.692235i | ||||
\(857\) | 40.7188 | 1.39093 | 0.695464 | − | 0.718561i | \(-0.255199\pi\) | ||||
0.695464 | + | 0.718561i | \(0.255199\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −33.7538 | −1.15166 | −0.575832 | − | 0.817568i | \(-0.695322\pi\) | ||||
−0.575832 | + | 0.817568i | \(0.695322\pi\) | |||||||
\(860\) | −32.5934 | + | 12.1456i | −1.11143 | + | 0.414162i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.98813 | + | 0.478739i | 0.0677160 | + | 0.0163059i | ||||
\(863\) | − | 45.6786i | − | 1.55492i | −0.628935 | − | 0.777458i | \(-0.716509\pi\) | ||
0.628935 | − | 0.777458i | \(-0.283491\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.56155 | − | 2.79695i | 0.0870954 | − | 0.0950991i | ||||
\(866\) | 5.15002 | − | 21.3873i | 0.175005 | − | 0.726770i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −7.08084 | + | 13.8503i | −0.240339 | + | 0.470111i | ||||
\(869\) | −2.25801 | −0.0765978 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 40.5061i | 1.37250i | ||||||||
\(872\) | −21.9986 | + | 25.6509i | −0.744967 | + | 0.868650i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.50758 | + | 14.5665i | −0.118646 | + | 0.492718i | ||||
\(875\) | 6.36679 | − | 8.31118i | 0.215237 | − | 0.280969i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −46.5766 | −1.57278 | −0.786389 | − | 0.617731i | \(-0.788052\pi\) | ||||
−0.786389 | + | 0.617731i | \(0.788052\pi\) | |||||||
\(878\) | −8.92652 | + | 37.0706i | −0.301256 | + | 1.25107i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 19.6197 | + | 2.28414i | 0.661381 | + | 0.0769984i | ||||
\(881\) | 5.83095i | 0.196450i | 0.995164 | + | 0.0982249i | \(0.0313164\pi\) | ||||
−0.995164 | + | 0.0982249i | \(0.968684\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(884\) | −9.17104 | − | 4.68860i | −0.308455 | − | 0.157695i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −34.4924 | − | 8.30571i | −1.15880 | − | 0.279036i | ||||
\(887\) | − | 16.2177i | − | 0.544538i | −0.962221 | − | 0.272269i | \(-0.912226\pi\) | ||
0.962221 | − | 0.272269i | \(-0.0877741\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.38447 | 0.147050 | ||||||||
\(890\) | −34.2905 | + | 23.1087i | −1.14942 | + | 0.774604i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −39.1752 | − | 20.0279i | −1.31168 | − | 0.670584i | ||||
\(893\) | 33.5968i | 1.12427i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.4041 | + | 13.5440i | −0.414623 | + | 0.452725i | ||||
\(896\) | 0.881502 | − | 10.5577i | 0.0294489 | − | 0.352709i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.27749 | − | 13.6110i | 0.109371 | − | 0.454203i | ||||
\(899\) | − | 70.1670i | − | 2.34020i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.85741i | 0.261768i | ||||||||
\(902\) | −17.7046 | − | 4.26324i | −0.589499 | − | 0.141950i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 26.9309 | + | 23.0963i | 0.895707 | + | 0.768172i | ||||
\(905\) | −7.04383 | + | 7.69113i | −0.234145 | + | 0.255662i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 16.5129i | − | 0.548300i | −0.961687 | − | 0.274150i | \(-0.911603\pi\) | ||
0.961687 | − | 0.274150i | \(-0.0883965\pi\) | |||||||
\(908\) | 5.49966 | + | 2.81164i | 0.182512 | + | 0.0933077i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 5.51928 | + | 8.18996i | 0.182963 | + | 0.271494i | ||||
\(911\) | 36.6842 | 1.21540 | 0.607700 | − | 0.794167i | \(-0.292092\pi\) | ||||
0.607700 | + | 0.794167i | \(0.292092\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 31.1107i | 1.02962i | ||||||||
\(914\) | −4.42702 | + | 18.3848i | −0.146433 | + | 0.608114i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.38447 | + | 4.66410i | −0.0787852 | + | 0.154106i | ||||
\(917\) | 0.580639i | 0.0191744i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 30.1554i | − | 0.994735i | −0.867540 | − | 0.497368i | \(-0.834300\pi\) | ||
0.867540 | − | 0.497368i | \(-0.165700\pi\) | |||||||
\(920\) | 21.2994 | − | 2.57692i | 0.702219 | − | 0.0849586i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.54635 | + | 0.613157i | 0.0838597 | + | 0.0201933i | ||||
\(923\) | 39.1746 | 1.28945 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.33513 | − | 37.8869i | −0.109658 | − | 1.24571i | ||||
\(926\) | −18.1836 | − | 4.37857i | −0.597549 | − | 0.143889i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 18.1379 | + | 44.2135i | 0.595407 | + | 1.45138i | ||||
\(929\) | 3.00252i | 0.0985096i | 0.998786 | + | 0.0492548i | \(0.0156846\pi\) | ||||
−0.998786 | + | 0.0492548i | \(0.984315\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.1231 | 0.626734 | ||||||||
\(932\) | 36.4248 | + | 18.6218i | 1.19313 | + | 0.609978i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 26.0000 | + | 6.26075i | 0.850746 | + | 0.204858i | ||||
\(935\) | 5.15002 | − | 5.62329i | 0.168424 | − | 0.183901i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(938\) | −3.76539 | + | 15.6371i | −0.122944 | + | 0.510570i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 45.0807 | − | 16.7989i | 1.47037 | − | 0.547919i | ||||
\(941\) | −3.29801 | −0.107512 | −0.0537561 | − | 0.998554i | \(-0.517119\pi\) | ||||
−0.0537561 | + | 0.998554i | \(0.517119\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −19.7802 | −0.644133 | ||||||||
\(944\) | −34.6736 | + | 25.0481i | −1.12853 | + | 0.815245i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 23.6155 | + | 5.68658i | 0.767807 | + | 0.184887i | ||||
\(947\) | −32.9979 | −1.07229 | −0.536144 | − | 0.844126i | \(-0.680120\pi\) | ||||
−0.536144 | + | 0.844126i | \(0.680120\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.6564i | 0.605612i | ||||||||
\(950\) | 3.26733 | − | 21.8407i | 0.106006 | − | 0.708604i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.10457 | − | 2.66253i | −0.100620 | − | 0.0862931i | ||||
\(953\) | −12.5435 | −0.406323 | −0.203162 | − | 0.979145i | \(-0.565122\pi\) | ||||
−0.203162 | + | 0.979145i | \(0.565122\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 21.7538 | + | 19.9230i | 0.703936 | + | 0.644692i | ||||
\(956\) | 41.8342 | + | 21.3873i | 1.35301 | + | 0.691715i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 20.1261 | + | 4.84632i | 0.650244 | + | 0.156578i | ||||
\(959\) | −1.44600 | −0.0466939 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −37.9848 | −1.22532 | ||||||||
\(962\) | 34.8806 | + | 8.39919i | 1.12460 | + | 0.270801i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.12311 | − | 3.64162i | −0.229420 | − | 0.117289i | ||||
\(965\) | 35.2381 | − | 38.4764i | 1.13436 | − | 1.23860i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −15.0981 | −0.485522 | −0.242761 | − | 0.970086i | \(-0.578053\pi\) | ||||
−0.242761 | + | 0.970086i | \(0.578053\pi\) | |||||||
\(968\) | 13.1463 | + | 11.2745i | 0.422538 | + | 0.362375i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.72672 | − | 3.85929i | 0.183874 | − | 0.123914i | ||||
\(971\) | − | 19.8753i | − | 0.637829i | −0.947783 | − | 0.318915i | \(-0.896682\pi\) | ||
0.947783 | − | 0.318915i | \(-0.103318\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.2371 | 0.360245 | ||||||||
\(974\) | 40.5467 | + | 9.76356i | 1.29920 | + | 0.312845i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 37.6305 | 1.20390 | 0.601952 | − | 0.798532i | \(-0.294390\pi\) | ||||
0.601952 | + | 0.798532i | \(0.294390\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 28.8769 | 0.922910 | ||||||||
\(980\) | −9.56183 | − | 25.6597i | −0.305442 | − | 0.819669i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5.41327 | − | 22.4805i | 0.172744 | − | 0.717383i | ||||
\(983\) | 53.0438i | 1.69183i | 0.533315 | + | 0.845917i | \(0.320946\pi\) | ||||
−0.533315 | + | 0.845917i | \(0.679054\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.43845 | + | 8.12201i | −0.237009 | + | 0.258789i | ||||
\(986\) | 17.9361 | + | 4.31897i | 0.571201 | + | 0.137544i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.5485 | + | 9.48274i | 0.590107 | + | 0.301686i | ||||
\(989\) | 26.3841 | 0.838966 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 17.6339i | − | 0.560159i | −0.959977 | − | 0.280080i | \(-0.909639\pi\) | ||
0.959977 | − | 0.280080i | \(-0.0903609\pi\) | |||||||
\(992\) | 43.4686 | − | 17.8324i | 1.38013 | − | 0.566178i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 15.1231 | + | 3.64162i | 0.479676 | + | 0.115505i | ||||
\(995\) | −26.6311 | + | 29.0784i | −0.844264 | + | 0.921848i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −25.5141 | −0.808039 | −0.404019 | − | 0.914750i | \(-0.632387\pi\) | ||||
−0.404019 | + | 0.914750i | \(0.632387\pi\) | |||||||
\(998\) | 23.2043 | + | 5.58755i | 0.734519 | + | 0.176871i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))