Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(107,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 15, 44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bs (of order \(60\), degree \(16\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 107.18 | ||
Character | \(\chi\) | \(=\) | 930.107 |
Dual form | 930.2.bs.a.113.18 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{11}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | 0.0504550 | + | 1.73132i | 0.0291302 | + | 0.999576i | ||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | −2.07141 | + | 0.842184i | −0.926361 | + | 0.376636i | ||||
\(6\) | 1.51971 | − | 0.830957i | 0.620418 | − | 0.339237i | ||||
\(7\) | −3.23873 | + | 2.62267i | −1.22412 | + | 0.991277i | −0.224265 | + | 0.974528i | \(0.571998\pi\) |
−0.999860 | + | 0.0167483i | \(0.994669\pi\) | |||||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | −2.99491 | + | 0.174707i | −0.998303 | + | 0.0582357i | ||||
\(10\) | 1.69079 | + | 1.46329i | 0.534675 | + | 0.462734i | ||||
\(11\) | 1.97769 | + | 4.44196i | 0.596296 | + | 1.33930i | 0.919544 | + | 0.392988i | \(0.128558\pi\) |
−0.323248 | + | 0.946314i | \(0.604775\pi\) | |||||||
\(12\) | −1.43032 | − | 0.976823i | −0.412898 | − | 0.281984i | ||||
\(13\) | −2.60381 | + | 1.69093i | −0.722167 | + | 0.468980i | −0.852658 | − | 0.522469i | \(-0.825011\pi\) |
0.130492 | + | 0.991449i | \(0.458344\pi\) | |||||||
\(14\) | 3.80717 | + | 1.69506i | 1.01751 | + | 0.453024i | ||||
\(15\) | −1.56260 | − | 3.54377i | −0.403462 | − | 0.914997i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 6.19618 | − | 2.37849i | 1.50279 | − | 0.576868i | 0.538715 | − | 0.842488i | \(-0.318910\pi\) |
0.964078 | + | 0.265619i | \(0.0855765\pi\) | |||||||
\(18\) | 1.51533 | + | 2.58917i | 0.357166 | + | 0.610273i | ||||
\(19\) | −1.05458 | − | 4.96142i | −0.241938 | − | 1.13823i | −0.916508 | − | 0.400017i | \(-0.869004\pi\) |
0.674570 | − | 0.738211i | \(-0.264329\pi\) | |||||||
\(20\) | 0.536201 | − | 2.17083i | 0.119898 | − | 0.485412i | ||||
\(21\) | −4.70408 | − | 5.47494i | −1.02651 | − | 1.19473i | ||||
\(22\) | 3.05996 | − | 3.77874i | 0.652387 | − | 0.805630i | ||||
\(23\) | −5.96605 | − | 0.944930i | −1.24401 | − | 0.197031i | −0.500487 | − | 0.865744i | \(-0.666846\pi\) |
−0.743521 | + | 0.668713i | \(0.766846\pi\) | |||||||
\(24\) | −0.221004 | + | 1.71789i | −0.0451122 | + | 0.350664i | ||||
\(25\) | 3.58145 | − | 3.48901i | 0.716290 | − | 0.697802i | ||||
\(26\) | 2.68874 | + | 1.55234i | 0.527305 | + | 0.304439i | ||||
\(27\) | −0.453581 | − | 5.17632i | −0.0872917 | − | 0.996183i | ||||
\(28\) | −0.218108 | − | 4.16175i | −0.0412186 | − | 0.786498i | ||||
\(29\) | 2.10128 | − | 6.46706i | 0.390197 | − | 1.20090i | −0.542442 | − | 0.840093i | \(-0.682500\pi\) |
0.932639 | − | 0.360810i | \(-0.117500\pi\) | |||||||
\(30\) | −2.44811 | + | 3.00112i | −0.446962 | + | 0.547928i | ||||
\(31\) | −0.292740 | + | 5.56006i | −0.0525777 | + | 0.998617i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −7.59065 | + | 3.64812i | −1.32136 | + | 0.635057i | ||||
\(34\) | −4.93225 | − | 4.44102i | −0.845875 | − | 0.761629i | ||||
\(35\) | 4.49995 | − | 8.16023i | 0.760631 | − | 1.37933i | ||||
\(36\) | 1.61902 | − | 2.52562i | 0.269837 | − | 0.420937i | ||||
\(37\) | −2.86426 | + | 10.6896i | −0.470882 | + | 1.75736i | 0.165730 | + | 0.986171i | \(0.447002\pi\) |
−0.636612 | + | 0.771184i | \(0.719665\pi\) | |||||||
\(38\) | −3.94189 | + | 3.19208i | −0.639458 | + | 0.517823i | ||||
\(39\) | −3.05891 | − | 4.42270i | −0.489818 | − | 0.708199i | ||||
\(40\) | −2.17765 | + | 0.507776i | −0.344317 | + | 0.0802865i | ||||
\(41\) | 3.66558 | − | 3.30050i | 0.572467 | − | 0.515452i | −0.331272 | − | 0.943535i | \(-0.607478\pi\) |
0.903739 | + | 0.428084i | \(0.140811\pi\) | |||||||
\(42\) | −2.74260 | + | 6.67694i | −0.423192 | + | 1.03027i | ||||
\(43\) | −0.0923388 | + | 0.142189i | −0.0140815 | + | 0.0216837i | −0.845641 | − | 0.533752i | \(-0.820782\pi\) |
0.831560 | + | 0.555435i | \(0.187448\pi\) | |||||||
\(44\) | −4.75608 | − | 1.01094i | −0.717006 | − | 0.152404i | ||||
\(45\) | 6.05654 | − | 2.88415i | 0.902855 | − | 0.429944i | ||||
\(46\) | 1.86659 | + | 5.74478i | 0.275214 | + | 0.847022i | ||||
\(47\) | −5.55340 | − | 2.82960i | −0.810046 | − | 0.412739i | −0.000648134 | − | 1.00000i | \(-0.500206\pi\) |
−0.809398 | + | 0.587261i | \(0.800206\pi\) | |||||||
\(48\) | 1.63099 | − | 0.582992i | 0.235413 | − | 0.0841476i | ||||
\(49\) | 2.15558 | − | 10.1412i | 0.307940 | − | 1.44874i | ||||
\(50\) | −4.73468 | − | 1.60712i | −0.669585 | − | 0.227281i | ||||
\(51\) | 4.43054 | + | 10.6075i | 0.620400 | + | 1.48535i | ||||
\(52\) | 0.162487 | − | 3.10043i | 0.0225329 | − | 0.429952i | ||||
\(53\) | 3.50294 | − | 4.32577i | 0.481166 | − | 0.594190i | −0.477533 | − | 0.878614i | \(-0.658469\pi\) |
0.958699 | + | 0.284423i | \(0.0918022\pi\) | |||||||
\(54\) | −4.40621 | + | 2.75414i | −0.599609 | + | 0.374791i | ||||
\(55\) | −7.83755 | − | 7.53553i | −1.05681 | − | 1.01609i | ||||
\(56\) | −3.60913 | + | 2.08373i | −0.482290 | + | 0.278451i | ||||
\(57\) | 8.53657 | − | 2.07614i | 1.13070 | − | 0.274992i | ||||
\(58\) | −6.71615 | + | 1.06373i | −0.881874 | + | 0.139675i | ||||
\(59\) | −4.84136 | + | 5.37687i | −0.630291 | + | 0.700009i | −0.970707 | − | 0.240266i | \(-0.922765\pi\) |
0.340416 | + | 0.940275i | \(0.389432\pi\) | |||||||
\(60\) | 3.78544 | + | 0.818804i | 0.488698 | + | 0.105707i | ||||
\(61\) | 6.26812 | 0.802550 | 0.401275 | − | 0.915958i | \(-0.368567\pi\) | ||||
0.401275 | + | 0.915958i | \(0.368567\pi\) | |||||||
\(62\) | 5.08695 | − | 2.26338i | 0.646044 | − | 0.287450i | ||||
\(63\) | 9.24150 | − | 8.42049i | 1.16432 | − | 1.06088i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | 3.96947 | − | 5.69550i | 0.492352 | − | 0.706439i | ||||
\(66\) | 6.69659 | + | 5.10711i | 0.824293 | + | 0.628642i | ||||
\(67\) | −10.3893 | + | 2.78380i | −1.26925 | + | 0.340096i | −0.829745 | − | 0.558142i | \(-0.811514\pi\) |
−0.439510 | + | 0.898238i | \(0.644848\pi\) | |||||||
\(68\) | −1.71778 | + | 6.41085i | −0.208312 | + | 0.777430i | ||||
\(69\) | 1.33495 | − | 10.3768i | 0.160710 | − | 1.24922i | ||||
\(70\) | −9.31375 | − | 0.304823i | −1.11321 | − | 0.0364333i | ||||
\(71\) | −1.42163 | + | 0.149419i | −0.168716 | + | 0.0177328i | −0.188510 | − | 0.982071i | \(-0.560366\pi\) |
0.0197935 | + | 0.999804i | \(0.493699\pi\) | |||||||
\(72\) | −2.98537 | − | 0.295951i | −0.351829 | − | 0.0348781i | ||||
\(73\) | 1.18834 | − | 3.09573i | 0.139085 | − | 0.362328i | −0.846292 | − | 0.532720i | \(-0.821170\pi\) |
0.985376 | + | 0.170392i | \(0.0545034\pi\) | |||||||
\(74\) | 10.8248 | − | 2.30089i | 1.25836 | − | 0.267473i | ||||
\(75\) | 6.22128 | + | 6.02458i | 0.718372 | + | 0.695659i | ||||
\(76\) | 4.63374 | + | 2.06307i | 0.531526 | + | 0.236651i | ||||
\(77\) | −18.0550 | − | 9.19948i | −2.05756 | − | 1.04838i | ||||
\(78\) | −2.55194 | + | 4.73338i | −0.288950 | + | 0.535949i | ||||
\(79\) | 1.56510 | − | 3.51527i | 0.176088 | − | 0.395499i | −0.803842 | − | 0.594843i | \(-0.797214\pi\) |
0.979930 | + | 0.199344i | \(0.0638810\pi\) | |||||||
\(80\) | 1.44106 | + | 1.70978i | 0.161116 | + | 0.191159i | ||||
\(81\) | 8.93895 | − | 1.04646i | 0.993217 | − | 0.116274i | ||||
\(82\) | −4.60491 | − | 1.76766i | −0.508527 | − | 0.195205i | ||||
\(83\) | −0.0520453 | + | 0.993083i | −0.00571271 | + | 0.109005i | 0.994285 | + | 0.106760i | \(0.0340478\pi\) |
−0.999997 | + | 0.00224455i | \(0.999286\pi\) | |||||||
\(84\) | 7.19431 | − | 0.587596i | 0.784963 | − | 0.0641119i | ||||
\(85\) | −10.8317 | + | 10.1451i | −1.17486 | + | 1.10039i | ||||
\(86\) | 0.168613 | + | 0.0177219i | 0.0181820 | + | 0.00191100i | ||||
\(87\) | 11.3025 | + | 3.31168i | 1.21176 | + | 0.355049i | ||||
\(88\) | 1.25846 | + | 4.69665i | 0.134153 | + | 0.500665i | ||||
\(89\) | −4.40691 | − | 3.20181i | −0.467132 | − | 0.339391i | 0.329191 | − | 0.944263i | \(-0.393224\pi\) |
−0.796322 | + | 0.604872i | \(0.793224\pi\) | |||||||
\(90\) | −5.31941 | − | 4.08704i | −0.560715 | − | 0.430811i | ||||
\(91\) | 3.99827 | − | 12.3054i | 0.419133 | − | 1.28996i | ||||
\(92\) | 4.27122 | − | 4.27122i | 0.445306 | − | 0.445306i | ||||
\(93\) | −9.64100 | − | 0.226293i | −0.999725 | − | 0.0234655i | ||||
\(94\) | 6.23272i | 0.642856i | ||||||||
\(95\) | 6.36290 | + | 9.38896i | 0.652819 | + | 0.963287i | ||||
\(96\) | −1.25990 | − | 1.18855i | −0.128588 | − | 0.121306i | ||||
\(97\) | 0.767074 | + | 4.84312i | 0.0778846 | + | 0.491744i | 0.995538 | + | 0.0943621i | \(0.0300811\pi\) |
−0.917653 | + | 0.397382i | \(0.869919\pi\) | |||||||
\(98\) | −10.0145 | + | 2.68338i | −1.01162 | + | 0.271062i | ||||
\(99\) | −6.69904 | − | 12.9578i | −0.673279 | − | 1.30230i | ||||
\(100\) | 0.717546 | + | 4.94824i | 0.0717546 | + | 0.494824i | ||||
\(101\) | −3.10014 | − | 4.26698i | −0.308475 | − | 0.424580i | 0.626430 | − | 0.779478i | \(-0.284516\pi\) |
−0.934905 | + | 0.354898i | \(0.884516\pi\) | |||||||
\(102\) | 7.43995 | − | 8.76336i | 0.736665 | − | 0.867702i | ||||
\(103\) | −4.17625 | − | 0.218868i | −0.411498 | − | 0.0215657i | −0.154536 | − | 0.987987i | \(-0.549388\pi\) |
−0.256962 | + | 0.966421i | \(0.582722\pi\) | |||||||
\(104\) | −2.83627 | + | 1.26279i | −0.278119 | + | 0.123827i | ||||
\(105\) | 14.3550 | + | 7.37912i | 1.40090 | + | 0.720128i | ||||
\(106\) | −5.44459 | − | 1.15728i | −0.528826 | − | 0.112405i | ||||
\(107\) | −8.76546 | + | 3.36475i | −0.847389 | + | 0.325282i | −0.743031 | − | 0.669257i | \(-0.766612\pi\) |
−0.104359 | + | 0.994540i | \(0.533279\pi\) | |||||||
\(108\) | 4.45434 | + | 2.67561i | 0.428619 | + | 0.257461i | ||||
\(109\) | −5.94914 | + | 1.93299i | −0.569824 | + | 0.185147i | −0.579737 | − | 0.814804i | \(-0.696845\pi\) |
0.00991277 | + | 0.999951i | \(0.496845\pi\) | |||||||
\(110\) | −3.15603 | + | 10.4044i | −0.300916 | + | 0.992017i | ||||
\(111\) | −18.6516 | − | 4.41960i | −1.77033 | − | 0.419490i | ||||
\(112\) | 3.49513 | + | 2.26976i | 0.330259 | + | 0.214473i | ||||
\(113\) | 7.33582 | + | 2.81596i | 0.690096 | + | 0.264903i | 0.678041 | − | 0.735024i | \(-0.262829\pi\) |
0.0120551 | + | 0.999927i | \(0.496163\pi\) | |||||||
\(114\) | −5.72538 | − | 6.66359i | −0.536231 | − | 0.624103i | ||||
\(115\) | 13.1539 | − | 3.06718i | 1.22661 | − | 0.286016i | ||||
\(116\) | 3.99686 | + | 5.50121i | 0.371099 | + | 0.510775i | ||||
\(117\) | 7.50275 | − | 5.51909i | 0.693630 | − | 0.510240i | ||||
\(118\) | 6.98876 | + | 1.87263i | 0.643367 | + | 0.172390i | ||||
\(119\) | −13.8297 | + | 23.9538i | −1.26777 | + | 2.19584i | ||||
\(120\) | −0.988994 | − | 3.74458i | −0.0902824 | − | 0.341832i | ||||
\(121\) | −8.45933 | + | 9.39504i | −0.769030 | + | 0.854095i | ||||
\(122\) | −2.84567 | − | 5.58493i | −0.257634 | − | 0.505636i | ||||
\(123\) | 5.89916 | + | 6.17975i | 0.531909 | + | 0.557209i | ||||
\(124\) | −4.32612 | − | 3.50496i | −0.388497 | − | 0.314754i | ||||
\(125\) | −4.48025 | + | 10.2434i | −0.400726 | + | 0.916198i | ||||
\(126\) | −11.6983 | − | 4.41141i | −1.04216 | − | 0.393000i | ||||
\(127\) | 9.82914 | − | 0.515123i | 0.872195 | − | 0.0457098i | 0.389016 | − | 0.921231i | \(-0.372815\pi\) |
0.483180 | + | 0.875521i | \(0.339482\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −0.250834 | − | 0.152694i | −0.0220847 | − | 0.0134439i | ||||
\(130\) | −6.87683 | − | 0.951122i | −0.603138 | − | 0.0834189i | ||||
\(131\) | 16.1496 | + | 1.69740i | 1.41100 | + | 0.148302i | 0.779174 | − | 0.626808i | \(-0.215639\pi\) |
0.631827 | + | 0.775110i | \(0.282306\pi\) | |||||||
\(132\) | 1.51028 | − | 8.28528i | 0.131453 | − | 0.721141i | ||||
\(133\) | 16.4277 | + | 13.3029i | 1.42446 | + | 1.15350i | ||||
\(134\) | 7.19703 | + | 7.99311i | 0.621729 | + | 0.690500i | ||||
\(135\) | 5.29896 | + | 10.3403i | 0.456062 | + | 0.889948i | ||||
\(136\) | 6.49197 | − | 1.37991i | 0.556682 | − | 0.118326i | ||||
\(137\) | −2.46225 | + | 1.59900i | −0.210364 | + | 0.136612i | −0.645521 | − | 0.763743i | \(-0.723360\pi\) |
0.435157 | + | 0.900355i | \(0.356693\pi\) | |||||||
\(138\) | −9.85185 | + | 3.52151i | −0.838645 | + | 0.299771i | ||||
\(139\) | −2.29817 | + | 0.746721i | −0.194928 | + | 0.0633360i | −0.404854 | − | 0.914381i | \(-0.632678\pi\) |
0.209926 | + | 0.977717i | \(0.432678\pi\) | |||||||
\(140\) | 3.95676 | + | 8.43700i | 0.334407 | + | 0.713057i | ||||
\(141\) | 4.61873 | − | 9.75745i | 0.388967 | − | 0.821725i | ||||
\(142\) | 0.778540 | + | 1.19885i | 0.0653336 | + | 0.100605i | ||||
\(143\) | −12.6606 | − | 8.22188i | −1.05873 | − | 0.687548i | ||||
\(144\) | 1.09163 | + | 2.79434i | 0.0909695 | + | 0.232862i | ||||
\(145\) | 1.09386 | + | 15.1656i | 0.0908402 | + | 1.25943i | ||||
\(146\) | −3.29781 | + | 0.346614i | −0.272929 | + | 0.0286860i | ||||
\(147\) | 17.6664 | + | 3.22032i | 1.45710 | + | 0.265607i | ||||
\(148\) | −6.96448 | − | 8.60041i | −0.572477 | − | 0.706950i | ||||
\(149\) | −8.42217 | − | 14.5876i | −0.689971 | − | 1.19506i | −0.971847 | − | 0.235613i | \(-0.924290\pi\) |
0.281876 | − | 0.959451i | \(-0.409043\pi\) | |||||||
\(150\) | 2.54354 | − | 8.27831i | 0.207679 | − | 0.675921i | ||||
\(151\) | −15.6802 | − | 11.3923i | −1.27604 | − | 0.927094i | −0.276610 | − | 0.960982i | \(-0.589211\pi\) |
−0.999426 | + | 0.0338885i | \(0.989211\pi\) | |||||||
\(152\) | −0.265462 | − | 5.06531i | −0.0215318 | − | 0.410851i | ||||
\(153\) | −18.1414 | + | 8.20587i | −1.46665 | + | 0.663406i | ||||
\(154\) | 20.2636i | 1.63289i | ||||||||
\(155\) | −4.07621 | − | 11.7637i | −0.327409 | − | 0.944883i | ||||
\(156\) | 5.37602 | + | 0.124884i | 0.430426 | + | 0.00999869i | ||||
\(157\) | −21.1987 | + | 10.8013i | −1.69184 | + | 0.862034i | −0.703330 | + | 0.710863i | \(0.748304\pi\) |
−0.988508 | + | 0.151171i | \(0.951696\pi\) | |||||||
\(158\) | −3.84267 | + | 0.201386i | −0.305707 | + | 0.0160214i | ||||
\(159\) | 7.66602 | + | 5.84644i | 0.607955 | + | 0.463653i | ||||
\(160\) | 0.869191 | − | 2.06022i | 0.0687156 | − | 0.162875i | ||||
\(161\) | 21.8007 | − | 12.5866i | 1.71813 | − | 0.991965i | ||||
\(162\) | −4.99061 | − | 7.48958i | −0.392099 | − | 0.588437i | ||||
\(163\) | −1.30265 | + | 8.22463i | −0.102032 | + | 0.644203i | 0.882675 | + | 0.469983i | \(0.155740\pi\) |
−0.984707 | + | 0.174219i | \(0.944260\pi\) | |||||||
\(164\) | 0.515589 | + | 4.90550i | 0.0402607 | + | 0.383055i | ||||
\(165\) | 12.6509 | − | 13.9495i | 0.984874 | − | 1.08597i | ||||
\(166\) | 0.908471 | − | 0.404478i | 0.0705111 | − | 0.0313935i | ||||
\(167\) | −1.64892 | + | 2.53911i | −0.127597 | + | 0.196482i | −0.896695 | − | 0.442648i | \(-0.854039\pi\) |
0.769098 | + | 0.639131i | \(0.220706\pi\) | |||||||
\(168\) | −3.78970 | − | 6.14341i | −0.292382 | − | 0.473974i | ||||
\(169\) | −1.36701 | + | 3.07036i | −0.105155 | + | 0.236181i | ||||
\(170\) | 13.9569 | + | 5.04530i | 1.07044 | + | 0.386956i | ||||
\(171\) | 4.02517 | + | 14.6748i | 0.307813 | + | 1.12221i | ||||
\(172\) | −0.0607582 | − | 0.158280i | −0.00463277 | − | 0.0120688i | ||||
\(173\) | 3.87051 | + | 5.96006i | 0.294269 | + | 0.453135i | 0.954622 | − | 0.297821i | \(-0.0962598\pi\) |
−0.660353 | + | 0.750956i | \(0.729593\pi\) | |||||||
\(174\) | −2.18052 | − | 11.5741i | −0.165305 | − | 0.877431i | ||||
\(175\) | −2.44882 | + | 20.6929i | −0.185113 | + | 1.56424i | ||||
\(176\) | 3.61342 | − | 3.25354i | 0.272372 | − | 0.245244i | ||||
\(177\) | −9.55333 | − | 8.11063i | −0.718072 | − | 0.609632i | ||||
\(178\) | −0.852137 | + | 5.38018i | −0.0638703 | + | 0.403261i | ||||
\(179\) | 1.35567 | − | 12.8983i | 0.101327 | − | 0.964064i | −0.819232 | − | 0.573462i | \(-0.805600\pi\) |
0.920560 | − | 0.390602i | \(-0.127733\pi\) | |||||||
\(180\) | −1.22661 | + | 6.59511i | −0.0914264 | + | 0.491570i | ||||
\(181\) | 5.86488 | − | 10.1583i | 0.435933 | − | 0.755058i | −0.561438 | − | 0.827519i | \(-0.689752\pi\) |
0.997371 | + | 0.0724607i | \(0.0230852\pi\) | |||||||
\(182\) | −12.7794 | + | 2.02405i | −0.947270 | + | 0.150033i | ||||
\(183\) | 0.316258 | + | 10.8521i | 0.0233785 | + | 0.802210i | ||||
\(184\) | −5.74478 | − | 1.86659i | −0.423511 | − | 0.137607i | ||||
\(185\) | −3.06954 | − | 24.5547i | −0.225677 | − | 1.80530i | ||||
\(186\) | 4.17529 | + | 8.69292i | 0.306147 | + | 0.637396i | ||||
\(187\) | 22.8193 | + | 22.8193i | 1.66871 | + | 1.66871i | ||||
\(188\) | 5.55340 | − | 2.82960i | 0.405023 | − | 0.206370i | ||||
\(189\) | 15.0448 | + | 15.5751i | 1.09435 | + | 1.13292i | ||||
\(190\) | 5.47693 | − | 9.93188i | 0.397338 | − | 0.720534i | ||||
\(191\) | −5.28064 | − | 3.04878i | −0.382094 | − | 0.220602i | 0.296635 | − | 0.954991i | \(-0.404136\pi\) |
−0.678729 | + | 0.734389i | \(0.737469\pi\) | |||||||
\(192\) | −0.487020 | + | 1.66217i | −0.0351477 | + | 0.119957i | ||||
\(193\) | −13.8032 | − | 17.0456i | −0.993578 | − | 1.22697i | −0.973857 | − | 0.227161i | \(-0.927056\pi\) |
−0.0197205 | − | 0.999806i | \(-0.506278\pi\) | |||||||
\(194\) | 3.96700 | − | 2.88220i | 0.284814 | − | 0.206930i | ||||
\(195\) | 10.0610 | + | 6.58504i | 0.720482 | + | 0.471564i | ||||
\(196\) | 6.93739 | + | 7.70476i | 0.495528 | + | 0.550340i | ||||
\(197\) | 4.01962 | − | 10.4715i | 0.286386 | − | 0.746061i | −0.712623 | − | 0.701547i | \(-0.752493\pi\) |
0.999009 | − | 0.0445136i | \(-0.0141738\pi\) | |||||||
\(198\) | −8.50414 | + | 11.8516i | −0.604363 | + | 0.842255i | ||||
\(199\) | −0.794240 | + | 3.73661i | −0.0563022 | + | 0.264881i | −0.997291 | − | 0.0735565i | \(-0.976565\pi\) |
0.940989 | + | 0.338438i | \(0.109898\pi\) | |||||||
\(200\) | 4.08316 | − | 2.88579i | 0.288723 | − | 0.204056i | ||||
\(201\) | −5.34384 | − | 17.8467i | −0.376925 | − | 1.25881i | ||||
\(202\) | −2.39447 | + | 4.69941i | −0.168474 | + | 0.330649i | ||||
\(203\) | 10.1555 | + | 26.4560i | 0.712777 | + | 1.85685i | ||||
\(204\) | −11.1859 | − | 2.65056i | −0.783168 | − | 0.185577i | ||||
\(205\) | −4.81327 | + | 9.92377i | −0.336174 | + | 0.693106i | ||||
\(206\) | 1.70096 | + | 3.82043i | 0.118512 | + | 0.266182i | ||||
\(207\) | 18.0329 | + | 1.78767i | 1.25337 | + | 0.124251i | ||||
\(208\) | 2.41279 | + | 1.95384i | 0.167297 | + | 0.135475i | ||||
\(209\) | 19.9528 | − | 14.4966i | 1.38016 | − | 1.00275i | ||||
\(210\) | 0.0578188 | − | 16.1404i | 0.00398988 | − | 1.11379i | ||||
\(211\) | 6.34962 | + | 10.9979i | 0.437126 | + | 0.757124i | 0.997466 | − | 0.0711382i | \(-0.0226631\pi\) |
−0.560341 | + | 0.828262i | \(0.689330\pi\) | |||||||
\(212\) | 1.44065 | + | 5.37656i | 0.0989440 | + | 0.369264i | ||||
\(213\) | −0.330420 | − | 2.45375i | −0.0226400 | − | 0.168128i | ||||
\(214\) | 6.97745 | + | 6.28252i | 0.476969 | + | 0.429464i | ||||
\(215\) | 0.0715217 | − | 0.372298i | 0.00487774 | − | 0.0253905i | ||||
\(216\) | 0.361758 | − | 5.18354i | 0.0246145 | − | 0.352696i | ||||
\(217\) | −13.6341 | − | 18.7753i | −0.925544 | − | 1.27455i | ||||
\(218\) | 4.42316 | + | 4.42316i | 0.299574 | + | 0.299574i | ||||
\(219\) | 5.41964 | + | 1.90119i | 0.366225 | + | 0.128471i | ||||
\(220\) | 10.7032 | − | 1.91144i | 0.721607 | − | 0.128869i | ||||
\(221\) | −12.1118 | + | 16.6704i | −0.814727 | + | 1.12138i | ||||
\(222\) | 4.52973 | + | 18.6251i | 0.304016 | + | 1.25004i | ||||
\(223\) | 13.7613 | + | 3.68732i | 0.921523 | + | 0.246921i | 0.688236 | − | 0.725487i | \(-0.258385\pi\) |
0.233287 | + | 0.972408i | \(0.425052\pi\) | |||||||
\(224\) | 0.435619 | − | 4.14464i | 0.0291060 | − | 0.276925i | ||||
\(225\) | −10.1166 | + | 11.0750i | −0.674438 | + | 0.738332i | ||||
\(226\) | −0.821356 | − | 7.81468i | −0.0546358 | − | 0.519825i | ||||
\(227\) | −14.2504 | − | 0.746830i | −0.945830 | − | 0.0495689i | −0.426820 | − | 0.904337i | \(-0.640366\pi\) |
−0.519011 | + | 0.854768i | \(0.673699\pi\) | |||||||
\(228\) | −3.33804 | + | 8.12656i | −0.221067 | + | 0.538194i | ||||
\(229\) | 5.02011 | + | 23.6178i | 0.331738 | + | 1.56071i | 0.755634 | + | 0.654994i | \(0.227329\pi\) |
−0.423896 | + | 0.905711i | \(0.639338\pi\) | |||||||
\(230\) | −8.70464 | − | 10.3278i | −0.573967 | − | 0.680992i | ||||
\(231\) | 15.0162 | − | 31.7231i | 0.987996 | − | 2.08722i | ||||
\(232\) | 3.08708 | − | 6.05873i | 0.202676 | − | 0.397775i | ||||
\(233\) | −5.91121 | + | 11.6014i | −0.387256 | + | 0.760034i | −0.999531 | − | 0.0306114i | \(-0.990255\pi\) |
0.612275 | + | 0.790645i | \(0.290255\pi\) | |||||||
\(234\) | −8.32373 | − | 4.17938i | −0.544139 | − | 0.273215i | ||||
\(235\) | 13.8864 | + | 1.18426i | 0.905848 | + | 0.0772528i | ||||
\(236\) | −1.50430 | − | 7.07718i | −0.0979217 | − | 0.460685i | ||||
\(237\) | 6.16502 | + | 2.53232i | 0.400461 | + | 0.164492i | ||||
\(238\) | 27.6216 | + | 1.44759i | 1.79044 | + | 0.0938330i | ||||
\(239\) | −0.469703 | − | 4.46893i | −0.0303826 | − | 0.289071i | −0.999154 | − | 0.0411168i | \(-0.986908\pi\) |
0.968772 | − | 0.247954i | \(-0.0797583\pi\) | |||||||
\(240\) | −2.88745 | + | 2.58120i | −0.186384 | + | 0.166616i | ||||
\(241\) | 1.84258 | − | 17.5310i | 0.118691 | − | 1.12927i | −0.759349 | − | 0.650684i | \(-0.774482\pi\) |
0.878040 | − | 0.478587i | \(-0.158851\pi\) | |||||||
\(242\) | 12.2115 | + | 3.27206i | 0.784985 | + | 0.210336i | ||||
\(243\) | 2.26277 | + | 15.4234i | 0.145157 | + | 0.989409i | ||||
\(244\) | −3.68431 | + | 5.07101i | −0.235864 | + | 0.324638i | ||||
\(245\) | 4.07568 | + | 22.8220i | 0.260386 | + | 1.45804i | ||||
\(246\) | 2.82803 | − | 8.06173i | 0.180309 | − | 0.513997i | ||||
\(247\) | 11.1354 | + | 11.1354i | 0.708526 | + | 0.708526i | ||||
\(248\) | −1.15892 | + | 5.44581i | −0.0735916 | + | 0.345810i | ||||
\(249\) | −1.72197 | − | 0.0400008i | −0.109125 | − | 0.00253495i | ||||
\(250\) | 11.1609 | − | 0.658476i | 0.705879 | − | 0.0416457i | ||||
\(251\) | −9.17385 | − | 8.26017i | −0.579048 | − | 0.521377i | 0.326737 | − | 0.945115i | \(-0.394051\pi\) |
−0.905785 | + | 0.423738i | \(0.860718\pi\) | |||||||
\(252\) | 1.38030 | + | 12.4260i | 0.0869509 | + | 0.782762i | ||||
\(253\) | −7.60165 | − | 28.3697i | −0.477912 | − | 1.78359i | ||||
\(254\) | −4.92132 | − | 8.52397i | −0.308791 | − | 0.534841i | ||||
\(255\) | −18.1110 | − | 18.2412i | −1.13415 | − | 1.14231i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −15.9681 | − | 12.9307i | −0.996062 | − | 0.806595i | −0.0149210 | − | 0.999889i | \(-0.504750\pi\) |
−0.981141 | + | 0.193294i | \(0.938083\pi\) | |||||||
\(258\) | −0.0221749 | + | 0.292816i | −0.00138055 | + | 0.0182299i | ||||
\(259\) | −18.7587 | − | 42.1327i | −1.16561 | − | 2.61800i | ||||
\(260\) | 2.27456 | + | 6.55910i | 0.141062 | + | 0.406778i | ||||
\(261\) | −5.16329 | + | 19.7354i | −0.319599 | + | 1.22159i | ||||
\(262\) | −5.81939 | − | 15.1600i | −0.359523 | − | 0.936590i | ||||
\(263\) | −0.907370 | + | 1.78081i | −0.0559508 | + | 0.109810i | −0.917289 | − | 0.398223i | \(-0.869627\pi\) |
0.861338 | + | 0.508033i | \(0.169627\pi\) | |||||||
\(264\) | −8.06789 | + | 2.41577i | −0.496544 | + | 0.148680i | ||||
\(265\) | −3.61292 | + | 11.9106i | −0.221940 | + | 0.731659i | ||||
\(266\) | 4.39493 | − | 20.6765i | 0.269471 | − | 1.26776i | ||||
\(267\) | 5.32099 | − | 7.79130i | 0.325639 | − | 0.476820i | ||||
\(268\) | 3.85453 | − | 10.0414i | 0.235453 | − | 0.613376i | ||||
\(269\) | 1.18736 | + | 1.31870i | 0.0723946 | + | 0.0804023i | 0.778254 | − | 0.627950i | \(-0.216106\pi\) |
−0.705859 | + | 0.708352i | \(0.749439\pi\) | |||||||
\(270\) | 6.80756 | − | 9.41579i | 0.414295 | − | 0.573027i | ||||
\(271\) | −7.47925 | + | 5.43400i | −0.454332 | + | 0.330092i | −0.791304 | − | 0.611423i | \(-0.790597\pi\) |
0.336972 | + | 0.941515i | \(0.390597\pi\) | |||||||
\(272\) | −4.17680 | − | 5.15792i | −0.253256 | − | 0.312745i | ||||
\(273\) | 21.5063 | + | 6.30140i | 1.30162 | + | 0.381378i | ||||
\(274\) | 2.54256 | + | 1.46795i | 0.153602 | + | 0.0886819i | ||||
\(275\) | 22.5811 | + | 9.00849i | 1.36169 | + | 0.543232i | ||||
\(276\) | 7.61034 | + | 7.17933i | 0.458088 | + | 0.432145i | ||||
\(277\) | −1.98927 | + | 1.01358i | −0.119524 | + | 0.0609003i | −0.512730 | − | 0.858550i | \(-0.671366\pi\) |
0.393206 | + | 0.919450i | \(0.371366\pi\) | |||||||
\(278\) | 1.70868 | + | 1.70868i | 0.102480 | + | 0.102480i | ||||
\(279\) | −0.0946515 | − | 16.7030i | −0.00566663 | − | 0.999984i | ||||
\(280\) | 5.72109 | − | 7.35581i | 0.341901 | − | 0.439594i | ||||
\(281\) | −1.12684 | − | 0.366131i | −0.0672214 | − | 0.0218416i | 0.275213 | − | 0.961383i | \(-0.411252\pi\) |
−0.342435 | + | 0.939542i | \(0.611252\pi\) | |||||||
\(282\) | −10.7908 | + | 0.314472i | −0.642583 | + | 0.0187265i | ||||
\(283\) | −18.6509 | + | 2.95401i | −1.10868 | + | 0.175598i | −0.683812 | − | 0.729658i | \(-0.739679\pi\) |
−0.424867 | + | 0.905256i | \(0.639679\pi\) | |||||||
\(284\) | 0.714730 | − | 1.23795i | 0.0424115 | − | 0.0734588i | ||||
\(285\) | −15.9342 | + | 11.4899i | −0.943862 | + | 0.680603i | ||||
\(286\) | −1.57796 | + | 15.0133i | −0.0933069 | + | 0.887756i | ||||
\(287\) | −3.21569 | + | 20.3030i | −0.189816 | + | 1.19845i | ||||
\(288\) | 1.99418 | − | 2.24126i | 0.117508 | − | 0.132067i | ||||
\(289\) | 20.1019 | − | 18.0999i | 1.18247 | − | 1.06470i | ||||
\(290\) | 13.0160 | − | 7.85966i | 0.764327 | − | 0.461535i | ||||
\(291\) | −8.34626 | + | 1.57241i | −0.489266 | + | 0.0921761i | ||||
\(292\) | 1.80601 | + | 2.78101i | 0.105689 | + | 0.162746i | ||||
\(293\) | 8.66406 | + | 22.5706i | 0.506160 | + | 1.31859i | 0.914065 | + | 0.405567i | \(0.132926\pi\) |
−0.407906 | + | 0.913024i | \(0.633741\pi\) | |||||||
\(294\) | −5.15105 | − | 17.2029i | −0.300416 | − | 1.00329i | ||||
\(295\) | 5.50010 | − | 15.2150i | 0.320228 | − | 0.885852i | ||||
\(296\) | −4.50122 | + | 10.1099i | −0.261628 | + | 0.587626i | ||||
\(297\) | 22.0960 | − | 12.2519i | 1.28214 | − | 0.710929i | ||||
\(298\) | −9.17408 | + | 14.1268i | −0.531440 | + | 0.818346i | ||||
\(299\) | 17.1323 | − | 7.62778i | 0.990785 | − | 0.441126i | ||||
\(300\) | −8.53077 | + | 1.49196i | −0.492524 | + | 0.0861385i | ||||
\(301\) | −0.0738554 | − | 0.702687i | −0.00425695 | − | 0.0405022i | ||||
\(302\) | −3.03198 | + | 19.1432i | −0.174471 | + | 1.10156i | ||||
\(303\) | 7.23107 | − | 5.58261i | 0.415414 | − | 0.320713i | ||||
\(304\) | −4.39271 | + | 2.53613i | −0.251939 | + | 0.145457i | ||||
\(305\) | −12.9838 | + | 5.27891i | −0.743451 | + | 0.302269i | ||||
\(306\) | 15.5475 | + | 12.4388i | 0.888793 | + | 0.711076i | ||||
\(307\) | 8.34919 | − | 0.437562i | 0.476513 | − | 0.0249730i | 0.187432 | − | 0.982278i | \(-0.439984\pi\) |
0.289081 | + | 0.957305i | \(0.406650\pi\) | |||||||
\(308\) | 18.0550 | − | 9.19948i | 1.02878 | − | 0.524189i | ||||
\(309\) | 0.168217 | − | 7.24145i | 0.00956952 | − | 0.411951i | ||||
\(310\) | −8.63097 | + | 8.97254i | −0.490206 | + | 0.509606i | ||||
\(311\) | 13.8001i | 0.782532i | 0.920278 | + | 0.391266i | \(0.127963\pi\) | ||||
−0.920278 | + | 0.391266i | \(0.872037\pi\) | |||||||
\(312\) | −2.32939 | − | 4.84677i | −0.131876 | − | 0.274394i | ||||
\(313\) | 0.602697 | + | 11.5001i | 0.0340665 | + | 0.650027i | 0.961293 | + | 0.275527i | \(0.0888523\pi\) |
−0.927227 | + | 0.374500i | \(0.877814\pi\) | |||||||
\(314\) | 19.2480 | + | 13.9845i | 1.08623 | + | 0.789190i | ||||
\(315\) | −12.0513 | + | 25.2253i | −0.679014 | + | 1.42128i | ||||
\(316\) | 1.92397 | + | 3.33242i | 0.108232 | + | 0.187463i | ||||
\(317\) | 10.8530 | + | 13.4024i | 0.609567 | + | 0.752752i | 0.984708 | − | 0.174216i | \(-0.0557389\pi\) |
−0.375141 | + | 0.926968i | \(0.622406\pi\) | |||||||
\(318\) | 1.72892 | − | 9.48470i | 0.0969528 | − | 0.531876i | ||||
\(319\) | 32.8821 | − | 3.45605i | 1.84104 | − | 0.193502i | ||||
\(320\) | −2.23027 | + | 0.160865i | −0.124676 | + | 0.00899263i | ||||
\(321\) | −6.26770 | − | 15.0060i | −0.349829 | − | 0.837554i | ||||
\(322\) | −21.1121 | − | 13.7103i | −1.17653 | − | 0.764047i | ||||
\(323\) | −18.3351 | − | 28.2335i | −1.02019 | − | 1.57095i | ||||
\(324\) | −4.40758 | + | 7.84686i | −0.244866 | + | 0.435937i | ||||
\(325\) | −3.42573 | + | 15.1407i | −0.190025 | + | 0.839856i | ||||
\(326\) | 7.91959 | − | 2.57323i | 0.438625 | − | 0.142518i | ||||
\(327\) | −3.64678 | − | 10.2023i | −0.201668 | − | 0.564189i | ||||
\(328\) | 4.13676 | − | 2.68644i | 0.228414 | − | 0.148334i | ||||
\(329\) | 25.4070 | − | 5.40043i | 1.40074 | − | 0.297736i | ||||
\(330\) | −18.1725 | − | 4.93914i | −1.00036 | − | 0.271891i | ||||
\(331\) | 12.0676 | + | 13.4025i | 0.663297 | + | 0.736666i | 0.977090 | − | 0.212826i | \(-0.0682666\pi\) |
−0.313794 | + | 0.949491i | \(0.601600\pi\) | |||||||
\(332\) | −0.772829 | − | 0.625825i | −0.0424145 | − | 0.0343466i | ||||
\(333\) | 6.71066 | − | 32.5147i | 0.367742 | − | 1.78180i | ||||
\(334\) | 3.01096 | + | 0.316464i | 0.164752 | + | 0.0173162i | ||||
\(335\) | 19.1760 | − | 14.5161i | 1.04770 | − | 0.793099i | ||||
\(336\) | −3.75333 | + | 6.16570i | −0.204761 | + | 0.336366i | ||||
\(337\) | −2.10018 | − | 13.2600i | −0.114404 | − | 0.722321i | −0.976491 | − | 0.215559i | \(-0.930843\pi\) |
0.862086 | − | 0.506761i | \(-0.169157\pi\) | |||||||
\(338\) | 3.35632 | − | 0.175897i | 0.182560 | − | 0.00956755i | ||||
\(339\) | −4.50518 | + | 12.8427i | −0.244688 | + | 0.697520i | ||||
\(340\) | −1.84089 | − | 14.7262i | −0.0998364 | − | 0.798639i | ||||
\(341\) | −25.2765 | + | 9.69573i | −1.36880 | + | 0.525053i | ||||
\(342\) | 11.2479 | − | 10.2487i | 0.608217 | − | 0.554184i | ||||
\(343\) | 6.37179 | + | 12.5053i | 0.344044 | + | 0.675225i | ||||
\(344\) | −0.113445 | + | 0.125994i | −0.00611656 | + | 0.00679313i | ||||
\(345\) | 5.97394 | + | 22.6188i | 0.321626 | + | 1.21776i | ||||
\(346\) | 3.55328 | − | 6.15446i | 0.191025 | − | 0.330866i | ||||
\(347\) | 1.46673 | + | 0.393008i | 0.0787380 | + | 0.0210978i | 0.297973 | − | 0.954574i | \(-0.403689\pi\) |
−0.219235 | + | 0.975672i | \(0.570356\pi\) | |||||||
\(348\) | −9.32267 | + | 7.19740i | −0.499748 | + | 0.385821i | ||||
\(349\) | 9.35800 | + | 12.8802i | 0.500922 | + | 0.689461i | 0.982356 | − | 0.187022i | \(-0.0598836\pi\) |
−0.481433 | + | 0.876483i | \(0.659884\pi\) | |||||||
\(350\) | 19.5493 | − | 7.21248i | 1.04495 | − | 0.385523i | ||||
\(351\) | 9.93385 | + | 12.7112i | 0.530229 | + | 0.678472i | ||||
\(352\) | −4.53938 | − | 1.74250i | −0.241950 | − | 0.0928758i | ||||
\(353\) | −24.1598 | − | 15.6895i | −1.28589 | − | 0.835069i | −0.293238 | − | 0.956039i | \(-0.594733\pi\) |
−0.992656 | + | 0.120970i | \(0.961400\pi\) | |||||||
\(354\) | −2.88950 | + | 12.1942i | −0.153575 | + | 0.648116i | ||||
\(355\) | 2.81894 | − | 1.50678i | 0.149614 | − | 0.0799717i | ||||
\(356\) | 5.18064 | − | 1.68329i | 0.274573 | − | 0.0892142i | ||||
\(357\) | −42.1694 | − | 22.7351i | −2.23184 | − | 1.20327i | ||||
\(358\) | −12.1079 | + | 4.64780i | −0.639924 | + | 0.245644i | ||||
\(359\) | 20.8459 | + | 4.43094i | 1.10021 | + | 0.233856i | 0.722019 | − | 0.691873i | \(-0.243214\pi\) |
0.378187 | + | 0.925729i | \(0.376548\pi\) | |||||||
\(360\) | 6.43315 | − | 1.90119i | 0.339057 | − | 0.100202i | ||||
\(361\) | −6.14616 | + | 2.73645i | −0.323482 | + | 0.144024i | ||||
\(362\) | −11.7137 | − | 0.613888i | −0.615657 | − | 0.0322652i | ||||
\(363\) | −16.6926 | − | 14.1717i | −0.876134 | − | 0.743824i | ||||
\(364\) | 7.60516 | + | 10.4676i | 0.398619 | + | 0.548652i | ||||
\(365\) | 0.145641 | + | 7.41331i | 0.00762319 | + | 0.388031i | ||||
\(366\) | 9.52571 | − | 5.20853i | 0.497917 | − | 0.272254i | ||||
\(367\) | 14.7002 | − | 3.93891i | 0.767345 | − | 0.205610i | 0.146147 | − | 0.989263i | \(-0.453313\pi\) |
0.621198 | + | 0.783653i | \(0.286646\pi\) | |||||||
\(368\) | 0.944930 | + | 5.96605i | 0.0492579 | + | 0.311002i | ||||
\(369\) | −10.4015 | + | 10.5251i | −0.541478 | + | 0.547915i | ||||
\(370\) | −20.4849 | + | 13.8826i | −1.06496 | + | 0.721721i | ||||
\(371\) | 23.1971i | 1.20433i | ||||||||
\(372\) | 5.84991 | − | 7.66672i | 0.303304 | − | 0.397501i | ||||
\(373\) | 9.01462 | − | 9.01462i | 0.466759 | − | 0.466759i | −0.434104 | − | 0.900863i | \(-0.642935\pi\) |
0.900863 | + | 0.434104i | \(0.142935\pi\) | |||||||
\(374\) | 9.97238 | − | 30.6918i | 0.515660 | − | 1.58704i | ||||
\(375\) | −17.9606 | − | 7.23990i | −0.927482 | − | 0.373867i | ||||
\(376\) | −5.04238 | − | 3.66350i | −0.260041 | − | 0.188931i | ||||
\(377\) | 5.46405 | + | 20.3921i | 0.281413 | + | 1.05025i | ||||
\(378\) | 7.04731 | − | 20.4760i | 0.362475 | − | 1.05317i | ||||
\(379\) | −19.7366 | − | 2.07440i | −1.01380 | − | 0.106555i | −0.416969 | − | 0.908921i | \(-0.636907\pi\) |
−0.596832 | + | 0.802366i | \(0.703574\pi\) | |||||||
\(380\) | −11.3358 | − | 0.371002i | −0.581517 | − | 0.0190320i | ||||
\(381\) | 1.38777 | + | 16.9914i | 0.0710976 | + | 0.870494i | ||||
\(382\) | −0.319122 | + | 6.08920i | −0.0163277 | + | 0.311551i | ||||
\(383\) | −12.8734 | − | 4.94163i | −0.657799 | − | 0.252506i | 0.00649239 | − | 0.999979i | \(-0.497933\pi\) |
−0.664292 | + | 0.747473i | \(0.731267\pi\) | |||||||
\(384\) | 1.70211 | − | 0.320671i | 0.0868603 | − | 0.0163642i | ||||
\(385\) | 45.1469 | + | 3.85023i | 2.30090 | + | 0.196226i | ||||
\(386\) | −8.92117 | + | 20.0373i | −0.454076 | + | 1.01987i | ||||
\(387\) | 0.251705 | − | 0.441976i | 0.0127949 | − | 0.0224669i | ||||
\(388\) | −4.36904 | − | 2.22614i | −0.221804 | − | 0.113015i | ||||
\(389\) | −24.9414 | − | 11.1046i | −1.26458 | − | 0.563026i | −0.338715 | − | 0.940889i | \(-0.609992\pi\) |
−0.925861 | + | 0.377863i | \(0.876659\pi\) | |||||||
\(390\) | 1.29972 | − | 11.9539i | 0.0658140 | − | 0.605312i | ||||
\(391\) | −39.2142 | + | 8.33524i | −1.98315 | + | 0.421531i | ||||
\(392\) | 3.71548 | − | 9.67915i | 0.187660 | − | 0.488871i | ||||
\(393\) | −2.12390 | + | 28.0458i | −0.107136 | + | 1.41472i | ||||
\(394\) | −11.1550 | + | 1.17244i | −0.561981 | + | 0.0590666i | ||||
\(395\) | −0.281452 | + | 8.59967i | −0.0141614 | + | 0.432696i | ||||
\(396\) | 14.4206 | + | 2.19674i | 0.724664 | + | 0.110390i | ||||
\(397\) | 3.15317 | − | 11.7678i | 0.158253 | − | 0.590608i | −0.840552 | − | 0.541731i | \(-0.817769\pi\) |
0.998805 | − | 0.0488769i | \(-0.0155642\pi\) | |||||||
\(398\) | 3.68992 | − | 0.988711i | 0.184959 | − | 0.0495596i | ||||
\(399\) | −22.2026 | + | 29.1127i | −1.11152 | + | 1.45746i | ||||
\(400\) | −4.42498 | − | 2.32800i | −0.221249 | − | 0.116400i | ||||
\(401\) | −18.7062 | − | 6.07800i | −0.934141 | − | 0.303521i | −0.197886 | − | 0.980225i | \(-0.563408\pi\) |
−0.736255 | + | 0.676704i | \(0.763408\pi\) | |||||||
\(402\) | −13.4755 | + | 12.8636i | −0.672096 | + | 0.641579i | ||||
\(403\) | −8.63945 | − | 14.9723i | −0.430362 | − | 0.745826i | ||||
\(404\) | 5.27427 | 0.262405 | ||||||||
\(405\) | −17.6349 | + | 9.69590i | −0.876285 | + | 0.481793i | ||||
\(406\) | 18.9620 | − | 21.0594i | 0.941067 | − | 1.04516i | ||||
\(407\) | −53.1473 | + | 8.41771i | −2.63441 | + | 0.417250i | ||||
\(408\) | 2.71661 | + | 11.1700i | 0.134492 | + | 0.552999i | ||||
\(409\) | −25.7440 | + | 14.8633i | −1.27296 | + | 0.734942i | −0.975544 | − | 0.219806i | \(-0.929457\pi\) |
−0.297414 | + | 0.954749i | \(0.596124\pi\) | |||||||
\(410\) | 11.0273 | − | 0.216641i | 0.544601 | − | 0.0106992i | ||||
\(411\) | −2.89261 | − | 4.18225i | −0.142682 | − | 0.206295i | ||||
\(412\) | 2.63180 | − | 3.25001i | 0.129660 | − | 0.160116i | ||||
\(413\) | 1.57808 | − | 30.1115i | 0.0776521 | − | 1.48169i | ||||
\(414\) | −6.59393 | − | 16.8790i | −0.324074 | − | 0.829557i | ||||
\(415\) | −0.728552 | − | 2.10091i | −0.0357632 | − | 0.103130i | ||||
\(416\) | 0.645500 | − | 3.03684i | 0.0316483 | − | 0.148893i | ||||
\(417\) | −1.40876 | − | 3.94118i | −0.0689874 | − | 0.193000i | ||||
\(418\) | −21.9749 | − | 11.1968i | −1.07483 | − | 0.547652i | ||||
\(419\) | 10.0107 | + | 30.8097i | 0.489054 | + | 1.50515i | 0.826023 | + | 0.563637i | \(0.190598\pi\) |
−0.336969 | + | 0.941516i | \(0.609402\pi\) | |||||||
\(420\) | −14.4075 | + | 7.27608i | −0.703013 | + | 0.355036i | ||||
\(421\) | −37.4466 | − | 7.95953i | −1.82504 | − | 0.387924i | −0.837645 | − | 0.546215i | \(-0.816068\pi\) |
−0.987393 | + | 0.158291i | \(0.949402\pi\) | |||||||
\(422\) | 6.91650 | − | 10.6505i | 0.336690 | − | 0.518457i | ||||
\(423\) | 17.1263 | + | 7.50416i | 0.832707 | + | 0.364865i | ||||
\(424\) | 4.13651 | − | 3.72453i | 0.200887 | − | 0.180879i | ||||
\(425\) | 13.8927 | − | 30.1370i | 0.673896 | − | 1.46186i | ||||
\(426\) | −2.03630 | + | 1.40839i | −0.0986591 | + | 0.0682366i | ||||
\(427\) | −20.3007 | + | 16.4392i | −0.982421 | + | 0.795549i | ||||
\(428\) | 2.43007 | − | 9.06916i | 0.117462 | − | 0.438374i | ||||
\(429\) | 13.5959 | − | 22.3343i | 0.656415 | − | 1.07831i | ||||
\(430\) | −0.364190 | + | 0.105294i | −0.0175628 | + | 0.00507771i | ||||
\(431\) | −1.42585 | − | 1.28384i | −0.0686808 | − | 0.0618405i | 0.634075 | − | 0.773271i | \(-0.281381\pi\) |
−0.702756 | + | 0.711431i | \(0.748048\pi\) | |||||||
\(432\) | −4.78281 | + | 2.03095i | −0.230113 | + | 0.0977142i | ||||
\(433\) | −12.0058 | + | 12.0058i | −0.576961 | + | 0.576961i | −0.934065 | − | 0.357104i | \(-0.883764\pi\) |
0.357104 | + | 0.934065i | \(0.383764\pi\) | |||||||
\(434\) | −10.5392 | + | 20.6719i | −0.505896 | + | 0.992282i | ||||
\(435\) | −26.2012 | + | 2.65900i | −1.25625 | + | 0.127489i | ||||
\(436\) | 1.93299 | − | 5.94914i | 0.0925735 | − | 0.284912i | ||||
\(437\) | 1.60350 | + | 30.5966i | 0.0767058 | + | 1.46363i | ||||
\(438\) | −0.766489 | − | 5.69206i | −0.0366242 | − | 0.271977i | ||||
\(439\) | −7.29795 | − | 4.21347i | −0.348312 | − | 0.201098i | 0.315630 | − | 0.948882i | \(-0.397784\pi\) |
−0.663942 | + | 0.747784i | \(0.731118\pi\) | |||||||
\(440\) | −6.56224 | − | 8.66882i | −0.312842 | − | 0.413270i | ||||
\(441\) | −4.68403 | + | 30.7486i | −0.223049 | + | 1.46422i | ||||
\(442\) | 20.3521 | + | 3.22346i | 0.968051 | + | 0.153324i | ||||
\(443\) | −15.0603 | + | 18.5979i | −0.715536 | + | 0.883614i | −0.997114 | − | 0.0759250i | \(-0.975809\pi\) |
0.281577 | + | 0.959539i | \(0.409142\pi\) | |||||||
\(444\) | 14.5386 | − | 12.4916i | 0.689973 | − | 0.592827i | ||||
\(445\) | 11.8250 | + | 2.92082i | 0.560560 | + | 0.138460i | ||||
\(446\) | −2.96206 | − | 13.9354i | −0.140258 | − | 0.659860i | ||||
\(447\) | 24.8308 | − | 15.3174i | 1.17446 | − | 0.724490i | ||||
\(448\) | −3.89066 | + | 1.49349i | −0.183817 | + | 0.0705606i | ||||
\(449\) | −0.574066 | − | 1.76679i | −0.0270919 | − | 0.0833802i | 0.936596 | − | 0.350410i | \(-0.113958\pi\) |
−0.963688 | + | 0.267030i | \(0.913958\pi\) | |||||||
\(450\) | 14.4607 | + | 3.98599i | 0.681684 | + | 0.187901i | ||||
\(451\) | 21.9101 | + | 9.75499i | 1.03171 | + | 0.459345i | ||||
\(452\) | −6.59004 | + | 4.27962i | −0.309970 | + | 0.201297i | ||||
\(453\) | 18.9326 | − | 27.7221i | 0.889529 | − | 1.30250i | ||||
\(454\) | 5.80410 | + | 13.0362i | 0.272400 | + | 0.611820i | ||||
\(455\) | 2.08138 | + | 28.8568i | 0.0975766 | + | 1.35283i | ||||
\(456\) | 8.75625 | − | 0.715168i | 0.410049 | − | 0.0334908i | ||||
\(457\) | −34.8582 | − | 5.52099i | −1.63060 | − | 0.258261i | −0.726997 | − | 0.686640i | \(-0.759085\pi\) |
−0.903599 | + | 0.428379i | \(0.859085\pi\) | |||||||
\(458\) | 18.7645 | − | 15.1952i | 0.876807 | − | 0.710024i | ||||
\(459\) | −15.1223 | − | 30.9945i | −0.705848 | − | 1.44670i | ||||
\(460\) | −5.25028 | + | 12.4446i | −0.244796 | + | 0.580232i | ||||
\(461\) | 8.84577 | − | 12.1752i | 0.411989 | − | 0.567054i | −0.551713 | − | 0.834034i | \(-0.686026\pi\) |
0.963702 | + | 0.266980i | \(0.0860257\pi\) | |||||||
\(462\) | −35.0827 | + | 1.02240i | −1.63219 | + | 0.0475664i | ||||
\(463\) | −7.77921 | − | 15.2676i | −0.361530 | − | 0.709543i | 0.636566 | − | 0.771223i | \(-0.280354\pi\) |
−0.998096 | + | 0.0616791i | \(0.980354\pi\) | |||||||
\(464\) | −6.79987 | −0.315676 | ||||||||
\(465\) | 20.1610 | − | 7.65075i | 0.934944 | − | 0.354795i | ||||
\(466\) | 13.0206 | 0.603166 | ||||||||
\(467\) | 3.64285 | + | 7.14949i | 0.168571 | + | 0.330839i | 0.959802 | − | 0.280678i | \(-0.0905594\pi\) |
−0.791231 | + | 0.611517i | \(0.790559\pi\) | |||||||
\(468\) | 0.0550344 | + | 9.31389i | 0.00254396 | + | 0.430535i | ||||
\(469\) | 26.3471 | − | 36.2637i | 1.21660 | − | 1.67450i | ||||
\(470\) | −5.24910 | − | 12.9105i | −0.242123 | − | 0.595517i | ||||
\(471\) | −19.7700 | − | 36.1566i | −0.910952 | − | 1.66601i | ||||
\(472\) | −5.62288 | + | 4.55332i | −0.258814 | + | 0.209583i | ||||
\(473\) | −0.814217 | − | 0.128959i | −0.0374377 | − | 0.00592956i | ||||
\(474\) | −0.542545 | − | 6.64272i | −0.0249199 | − | 0.305110i | ||||
\(475\) | −21.0874 | − | 14.0896i | −0.967555 | − | 0.646476i | ||||
\(476\) | −11.2501 | − | 25.2682i | −0.515649 | − | 1.15817i | ||||
\(477\) | −9.73524 | + | 13.5673i | −0.445746 | + | 0.621203i | ||||
\(478\) | −3.76860 | + | 2.44736i | −0.172372 | + | 0.111940i | ||||
\(479\) | −35.0752 | − | 15.6165i | −1.60263 | − | 0.713536i | −0.605991 | − | 0.795472i | \(-0.707223\pi\) |
−0.996638 | + | 0.0819353i | \(0.973890\pi\) | |||||||
\(480\) | 3.61075 | + | 1.40090i | 0.164807 | + | 0.0639419i | ||||
\(481\) | −10.6174 | − | 32.6769i | −0.484110 | − | 1.48994i | ||||
\(482\) | −16.4567 | + | 6.31715i | −0.749584 | + | 0.287738i | ||||
\(483\) | 22.8914 | + | 37.1088i | 1.04159 | + | 1.68851i | ||||
\(484\) | −2.62848 | − | 12.3660i | −0.119476 | − | 0.562091i | ||||
\(485\) | −5.66772 | − | 9.38604i | −0.257358 | − | 0.426198i | ||||
\(486\) | 12.7150 | − | 9.01820i | 0.576766 | − | 0.409074i | ||||
\(487\) | −2.68494 | + | 3.31563i | −0.121666 | + | 0.150246i | −0.834340 | − | 0.551250i | \(-0.814151\pi\) |
0.712673 | + | 0.701496i | \(0.247484\pi\) | |||||||
\(488\) | 6.19095 | + | 0.980550i | 0.280251 | + | 0.0443874i | ||||
\(489\) | −14.3052 | − | 1.84033i | −0.646901 | − | 0.0832226i | ||||
\(490\) | 18.4842 | − | 13.9924i | 0.835031 | − | 0.632113i | ||||
\(491\) | 20.1532 | + | 11.6354i | 0.909499 | + | 0.525100i | 0.880270 | − | 0.474473i | \(-0.157361\pi\) |
0.0292293 | + | 0.999573i | \(0.490695\pi\) | |||||||
\(492\) | −8.46696 | + | 1.14015i | −0.381720 | + | 0.0514021i | ||||
\(493\) | −2.36196 | − | 45.0689i | −0.106377 | − | 2.02980i | ||||
\(494\) | 4.86633 | − | 14.9770i | 0.218946 | − | 0.673848i | ||||
\(495\) | 24.7892 | + | 21.1989i | 1.11419 | + | 0.952822i | ||||
\(496\) | 5.37840 | − | 1.43974i | 0.241497 | − | 0.0646463i | ||||
\(497\) | 4.21240 | − | 4.21240i | 0.188952 | − | 0.188952i | ||||
\(498\) | 0.746115 | + | 1.55244i | 0.0334342 | + | 0.0695666i | ||||
\(499\) | 6.87024 | + | 6.18599i | 0.307554 | + | 0.276923i | 0.808425 | − | 0.588599i | \(-0.200320\pi\) |
−0.500871 | + | 0.865522i | \(0.666987\pi\) | |||||||
\(500\) | −5.65366 | − | 9.64552i | −0.252840 | − | 0.431361i | ||||
\(501\) | −4.47920 | − | 2.72669i | −0.200116 | − | 0.121819i | ||||
\(502\) | −3.19503 | + | 11.9240i | −0.142601 | + | 0.532194i | ||||
\(503\) | −13.2627 | + | 10.7399i | −0.591355 | + | 0.478870i | −0.877670 | − | 0.479265i | \(-0.840903\pi\) |
0.286315 | + | 0.958136i | \(0.407570\pi\) | |||||||
\(504\) | 10.4450 | − | 6.87113i | 0.465256 | − | 0.306064i | ||||
\(505\) | 10.0152 | + | 6.22775i | 0.445672 | + | 0.277131i | ||||
\(506\) | −21.8266 | + | 19.6527i | −0.970309 | + | 0.873670i | ||||
\(507\) | −5.38473 | − | 2.21181i | −0.239144 | − | 0.0982301i | ||||
\(508\) | −5.36068 | + | 8.25472i | −0.237842 | + | 0.366244i | ||||
\(509\) | 10.9599 | + | 2.32959i | 0.485787 | + | 0.103257i | 0.444293 | − | 0.895881i | \(-0.353455\pi\) |
0.0414942 | + | 0.999139i | \(0.486788\pi\) | |||||||
\(510\) | −8.03081 | + | 24.4183i | −0.355610 | + | 1.08126i | ||||
\(511\) | 4.27037 | + | 13.1428i | 0.188910 | + | 0.581405i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | −25.2035 | + | 7.70926i | −1.11276 | + | 0.340372i | ||||
\(514\) | −4.27198 | + | 20.0981i | −0.188429 | + | 0.886489i | ||||
\(515\) | 8.83503 | − | 3.06381i | 0.389318 | − | 0.135007i | ||||
\(516\) | 0.270968 | − | 0.113178i | 0.0119287 | − | 0.00498237i | ||||
\(517\) | 1.58607 | − | 30.2640i | 0.0697553 | − | 1.33101i | ||||
\(518\) | −29.0242 | + | 35.8419i | −1.27525 | + | 1.57480i | ||||
\(519\) | −10.1235 | + | 7.00179i | −0.444371 | + | 0.307344i | ||||
\(520\) | 4.81157 | − | 5.00441i | 0.211001 | − | 0.219458i | ||||
\(521\) | −26.8136 | + | 15.4808i | −1.17472 | + | 0.678227i | −0.954788 | − | 0.297287i | \(-0.903918\pi\) |
−0.219936 | + | 0.975514i | \(0.570585\pi\) | |||||||
\(522\) | 19.9284 | − | 4.35914i | 0.872243 | − | 0.190795i | ||||
\(523\) | 11.2072 | − | 1.77505i | 0.490058 | − | 0.0776175i | 0.0934846 | − | 0.995621i | \(-0.470199\pi\) |
0.396573 | + | 0.918003i | \(0.370199\pi\) | |||||||
\(524\) | −10.8657 | + | 12.0676i | −0.474672 | + | 0.527177i | ||||
\(525\) | −35.9496 | − | 3.19562i | −1.56897 | − | 0.139468i | ||||
\(526\) | 1.99865 | 0.0871455 | ||||||||
\(527\) | 11.4107 | + | 35.1474i | 0.497057 | + | 1.53105i | ||||
\(528\) | 5.81521 | + | 6.09181i | 0.253075 | + | 0.265112i | ||||
\(529\) | 12.8266 | + | 4.16761i | 0.557677 | + | 0.181200i | ||||
\(530\) | 12.2526 | − | 2.18814i | 0.532219 | − | 0.0950469i | ||||
\(531\) | 13.5600 | − | 16.9491i | 0.588456 | − | 0.735526i | ||||
\(532\) | −20.4182 | + | 5.47104i | −0.885241 | + | 0.237200i | ||||
\(533\) | −3.96354 | + | 14.7921i | −0.171680 | + | 0.640718i | ||||
\(534\) | −9.35778 | − | 1.20386i | −0.404951 | − | 0.0520961i | ||||
\(535\) | 15.3231 | − | 14.3519i | 0.662476 | − | 0.620487i | ||||
\(536\) | −10.6969 | + | 1.12429i | −0.462035 | + | 0.0485618i | ||||
\(537\) | 22.3994 | + | 1.69630i | 0.966607 | + | 0.0732008i | ||||
\(538\) | 0.635917 | − | 1.65662i | 0.0274163 | − | 0.0714220i | ||||
\(539\) | 49.3099 | − | 10.4811i | 2.12393 | − | 0.451455i | ||||
\(540\) | −11.4801 | − | 1.79090i | −0.494025 | − | 0.0770681i | ||||
\(541\) | −17.3426 | − | 7.72142i | −0.745616 | − | 0.331970i | −0.00148124 | − | 0.999999i | \(-0.500471\pi\) |
−0.744135 | + | 0.668029i | \(0.767138\pi\) | |||||||
\(542\) | 8.23724 | + | 4.19708i | 0.353820 | + | 0.180280i | ||||
\(543\) | 17.8831 | + | 9.64142i | 0.767436 | + | 0.413753i | ||||
\(544\) | −2.69951 | + | 6.06320i | −0.115741 | + | 0.259958i | ||||
\(545\) | 10.6951 | − | 9.01428i | 0.458130 | − | 0.386129i | ||||
\(546\) | −4.14906 | − | 22.0230i | −0.177563 | − | 0.942498i | ||||
\(547\) | −25.1878 | − | 9.66870i | −1.07695 | − | 0.413404i | −0.245728 | − | 0.969339i | \(-0.579027\pi\) |
−0.831226 | + | 0.555935i | \(0.812360\pi\) | |||||||
\(548\) | 0.153653 | − | 2.93187i | 0.00656372 | − | 0.125243i | ||||
\(549\) | −18.7724 | + | 1.09508i | −0.801188 | + | 0.0467371i | ||||
\(550\) | −2.22496 | − | 24.2096i | −0.0948727 | − | 1.03230i | ||||
\(551\) | −34.3018 | − | 3.60526i | −1.46130 | − | 0.153589i | ||||
\(552\) | 2.94181 | − | 10.0402i | 0.125212 | − | 0.427340i | ||||
\(553\) | 4.15047 | + | 15.4898i | 0.176496 | + | 0.658692i | ||||
\(554\) | 1.80622 | + | 1.31229i | 0.0767388 | + | 0.0557540i | ||||
\(555\) | 42.3571 | − | 6.55325i | 1.79796 | − | 0.278170i | ||||
\(556\) | 0.746721 | − | 2.29817i | 0.0316680 | − | 0.0974641i | ||||
\(557\) | 27.6810 | − | 27.6810i | 1.17288 | − | 1.17288i | 0.191363 | − | 0.981519i | \(-0.438709\pi\) |
0.981519 | − | 0.191363i | \(-0.0612909\pi\) | |||||||
\(558\) | −14.8395 | + | 7.66735i | −0.628208 | + | 0.324585i | ||||
\(559\) | − | 0.526373i | − | 0.0222632i | ||||||
\(560\) | −9.15140 | − | 1.75806i | −0.386717 | − | 0.0742916i | ||||
\(561\) | −38.3560 | + | 40.6587i | −1.61939 | + | 1.71661i | ||||
\(562\) | 0.185348 | + | 1.17024i | 0.00781842 | + | 0.0493635i | ||||
\(563\) | 36.4945 | − | 9.77867i | 1.53806 | − | 0.412122i | 0.612422 | − | 0.790531i | \(-0.290195\pi\) |
0.925638 | + | 0.378409i | \(0.123529\pi\) | |||||||
\(564\) | 5.17912 | + | 9.47191i | 0.218080 | + | 0.398839i | ||||
\(565\) | −17.5670 | + | 0.345119i | −0.739050 | + | 0.0145193i | ||||
\(566\) | 11.0994 | + | 15.2770i | 0.466541 | + | 0.642138i | ||||
\(567\) | −26.2063 | + | 26.8332i | −1.10056 | + | 1.12689i | ||||
\(568\) | −1.42750 | − | 0.0748122i | −0.0598967 | − | 0.00313905i | ||||
\(569\) | −34.5448 | + | 15.3803i | −1.44819 | + | 0.644777i | −0.972089 | − | 0.234613i | \(-0.924618\pi\) |
−0.476103 | + | 0.879390i | \(0.657951\pi\) | |||||||
\(570\) | 17.4716 | + | 8.98119i | 0.731803 | + | 0.376180i | ||||
\(571\) | −14.6629 | − | 3.11669i | −0.613623 | − | 0.130430i | −0.109392 | − | 0.993999i | \(-0.534891\pi\) |
−0.504231 | + | 0.863569i | \(0.668224\pi\) | |||||||
\(572\) | 14.0933 | − | 5.40993i | 0.589272 | − | 0.226200i | ||||
\(573\) | 5.01197 | − | 9.29629i | 0.209378 | − | 0.388358i | ||||
\(574\) | 19.5500 | − | 6.35219i | 0.816003 | − | 0.265135i | ||||
\(575\) | −24.6640 | + | 17.4314i | −1.02856 | + | 0.726940i | ||||
\(576\) | −2.90231 | − | 0.759321i | −0.120930 | − | 0.0316384i | ||||
\(577\) | 22.5352 | + | 14.6345i | 0.938151 | + | 0.609243i | 0.920559 | − | 0.390603i | \(-0.127733\pi\) |
0.0175919 | + | 0.999845i | \(0.494400\pi\) | |||||||
\(578\) | −25.2532 | − | 9.69378i | −1.05039 | − | 0.403208i | ||||
\(579\) | 28.8148 | − | 24.7578i | 1.19750 | − | 1.02890i | ||||
\(580\) | −12.9122 | − | 8.02915i | −0.536148 | − | 0.333392i | ||||
\(581\) | −2.43597 | − | 3.35282i | −0.101061 | − | 0.139099i | ||||
\(582\) | 5.19015 | + | 6.72271i | 0.215139 | + | 0.278665i | ||||
\(583\) | 26.1426 | + | 7.00490i | 1.08272 | + | 0.290113i | ||||
\(584\) | 1.65799 | − | 2.87172i | 0.0686080 | − | 0.118833i | ||||
\(585\) | −10.8932 | + | 17.7510i | −0.450377 | + | 0.733913i | ||||
\(586\) | 16.1772 | − | 17.9666i | 0.668273 | − | 0.742193i | ||||
\(587\) | −14.2173 | − | 27.9031i | −0.586813 | − | 1.15168i | −0.973331 | − | 0.229403i | \(-0.926323\pi\) |
0.386519 | − | 0.922282i | \(-0.373677\pi\) | |||||||
\(588\) | −12.9893 | + | 12.3996i | −0.535671 | + | 0.511349i | ||||
\(589\) | 27.8945 | − | 4.41113i | 1.14937 | − | 0.181758i | ||||
\(590\) | −16.0537 | + | 2.00684i | −0.660919 | + | 0.0826203i | ||||
\(591\) | 18.3322 | + | 6.43089i | 0.754087 | + | 0.264532i | ||||
\(592\) | 11.0515 | − | 0.579184i | 0.454214 | − | 0.0238043i | ||||
\(593\) | −1.23365 | − | 7.78893i | −0.0506597 | − | 0.319853i | −0.999985 | − | 0.00555636i | \(-0.998231\pi\) |
0.949325 | − | 0.314297i | \(-0.101769\pi\) | |||||||
\(594\) | −20.9479 | − | 14.1254i | −0.859503 | − | 0.579572i | ||||
\(595\) | 8.47349 | − | 61.2653i | 0.347379 | − | 2.51163i | ||||
\(596\) | 16.7521 | + | 1.76071i | 0.686191 | + | 0.0721216i | ||||
\(597\) | −6.50932 | − | 1.18655i | −0.266409 | − | 0.0485623i | ||||
\(598\) | −14.5743 | − | 11.8020i | −0.595987 | − | 0.482621i | ||||
\(599\) | 0.0187004 | + | 0.0207689i | 0.000764077 | + | 0.000848593i | 0.743527 | − | 0.668706i | \(-0.233152\pi\) |
−0.742763 | + | 0.669555i | \(0.766485\pi\) | |||||||
\(600\) | 5.20224 | + | 6.92364i | 0.212380 | + | 0.282656i | ||||
\(601\) | 28.1423 | − | 5.98183i | 1.14795 | − | 0.244004i | 0.405620 | − | 0.914042i | \(-0.367055\pi\) |
0.742327 | + | 0.670038i | \(0.233722\pi\) | |||||||
\(602\) | −0.592569 | + | 0.384819i | −0.0241513 | + | 0.0156840i | ||||
\(603\) | 30.6287 | − | 10.1523i | 1.24730 | − | 0.413435i | ||||
\(604\) | 18.4332 | − | 5.98930i | 0.750035 | − | 0.243701i | ||||
\(605\) | 9.61036 | − | 26.5853i | 0.390717 | − | 1.08084i | ||||
\(606\) | −8.25698 | − | 3.90847i | −0.335417 | − | 0.158771i | ||||
\(607\) | −2.41297 | − | 3.71564i | −0.0979393 | − | 0.150813i | 0.786304 | − | 0.617840i | \(-0.211992\pi\) |
−0.884243 | + | 0.467026i | \(0.845325\pi\) | |||||||
\(608\) | 4.25395 | + | 2.76255i | 0.172521 | + | 0.112036i | ||||
\(609\) | −45.2913 | + | 18.9172i | −1.83530 | + | 0.766565i | ||||
\(610\) | 10.5981 | + | 9.17209i | 0.429103 | + | 0.371367i | ||||
\(611\) | 19.2446 | − | 2.02269i | 0.778555 | − | 0.0818294i | ||||
\(612\) | 4.02458 | − | 19.5000i | 0.162684 | − | 0.788242i | ||||
\(613\) | 22.5648 | + | 27.8653i | 0.911386 | + | 1.12547i | 0.991684 | + | 0.128697i | \(0.0410794\pi\) |
−0.0802984 | + | 0.996771i | \(0.525587\pi\) | |||||||
\(614\) | −4.18032 | − | 7.24053i | −0.168704 | − | 0.292204i | ||||
\(615\) | −17.4240 | − | 7.83259i | −0.702605 | − | 0.315841i | ||||
\(616\) | −16.3936 | − | 11.9106i | −0.660517 | − | 0.479894i | ||||
\(617\) | −1.04727 | − | 19.9831i | −0.0421616 | − | 0.804490i | −0.935116 | − | 0.354343i | \(-0.884705\pi\) |
0.892954 | − | 0.450148i | \(-0.148629\pi\) | |||||||
\(618\) | −6.52854 | + | 3.13767i | −0.262617 | + | 0.126215i | ||||
\(619\) | 26.1265i | 1.05011i | 0.851067 | + | 0.525057i | \(0.175956\pi\) | ||||
−0.851067 | + | 0.525057i | \(0.824044\pi\) | |||||||
\(620\) | 11.9130 | + | 3.61680i | 0.478436 | + | 0.145254i | ||||
\(621\) | −2.18517 | + | 31.3108i | −0.0876878 | + | 1.25646i | ||||
\(622\) | 12.2960 | − | 6.26511i | 0.493024 | − | 0.251208i | ||||
\(623\) | 22.6701 | − | 1.18809i | 0.908258 | − | 0.0475998i | ||||
\(624\) | −3.26098 | + | 4.27589i | −0.130544 | + | 0.171173i | ||||
\(625\) | 0.653587 | − | 24.9915i | 0.0261435 | − | 0.999658i | ||||
\(626\) | 9.97309 | − | 5.75796i | 0.398605 | − | 0.230135i | ||||
\(627\) | 26.1048 | + | 33.8132i | 1.04253 | + | 1.35037i | ||||
\(628\) | 3.72186 | − | 23.4989i | 0.148518 | − | 0.937708i | ||||
\(629\) | 7.67756 | + | 73.0471i | 0.306124 | + | 2.91258i | ||||
\(630\) | 27.9471 | − | 0.714262i | 1.11344 | − | 0.0284569i | ||||
\(631\) | 43.1053 | − | 19.1917i | 1.71599 | − | 0.764010i | 0.718330 | − | 0.695703i | \(-0.244907\pi\) |
0.997664 | − | 0.0683072i | \(-0.0217598\pi\) | |||||||
\(632\) | 2.09574 | − | 3.22716i | 0.0833641 | − | 0.128370i | ||||
\(633\) | −18.7204 | + | 11.5481i | −0.744069 | + | 0.458995i | ||||
\(634\) | 7.01443 | − | 15.7547i | 0.278579 | − | 0.625698i | ||||
\(635\) | −19.9263 | + | 9.34498i | −0.790752 | + | 0.370844i | ||||
\(636\) | −9.23584 | + | 2.76549i | −0.366225 | + | 0.109659i | ||||
\(637\) | 11.5354 | + | 30.0507i | 0.457049 | + | 1.19065i | ||||
\(638\) | −18.0075 | − | 27.7292i | −0.712925 | − | 1.09781i | ||||
\(639\) | 4.23155 | − | 0.695866i | 0.167397 | − | 0.0275280i | ||||
\(640\) | 1.15585 | + | 1.91416i | 0.0456892 | + | 0.0756637i | ||||
\(641\) | 22.3674 | − | 20.1397i | 0.883458 | − | 0.795469i | −0.0963630 | − | 0.995346i | \(-0.530721\pi\) |
0.979821 | + | 0.199877i | \(0.0640543\pi\) | |||||||
\(642\) | −10.5250 | + | 12.3972i | −0.415388 | + | 0.489277i | ||||
\(643\) | −3.18011 | + | 20.0784i | −0.125411 | + | 0.791817i | 0.842162 | + | 0.539225i | \(0.181283\pi\) |
−0.967573 | + | 0.252591i | \(0.918717\pi\) | |||||||
\(644\) | −2.63132 | + | 25.0353i | −0.103689 | + | 0.986531i | ||||
\(645\) | 0.648174 | + | 0.105042i | 0.0255218 | + | 0.00413603i | ||||
\(646\) | −16.8323 | + | 29.1544i | −0.662258 | + | 1.14706i | ||||
\(647\) | 39.1543 | − | 6.20143i | 1.53931 | − | 0.243803i | 0.671618 | − | 0.740898i | \(-0.265600\pi\) |
0.867697 | + | 0.497094i | \(0.165600\pi\) | |||||||
\(648\) | 8.99260 | + | 0.364781i | 0.353263 | + | 0.0143299i | ||||
\(649\) | −33.4585 | − | 10.8713i | −1.31336 | − | 0.426737i | ||||
\(650\) | 15.0457 | − | 3.82140i | 0.590142 | − | 0.149887i | ||||
\(651\) | 31.8181 | − | 24.5523i | 1.24705 | − | 0.962279i | ||||
\(652\) | −5.88818 | − | 5.88818i | −0.230599 | − | 0.230599i | ||||
\(653\) | −2.02693 | + | 1.03277i | −0.0793198 | + | 0.0404155i | −0.493200 | − | 0.869916i | \(-0.664173\pi\) |
0.413881 | + | 0.910331i | \(0.364173\pi\) | |||||||
\(654\) | −7.43472 | + | 7.88106i | −0.290720 | + | 0.308174i | ||||
\(655\) | −34.8820 | + | 10.0850i | −1.36295 | + | 0.394053i | ||||
\(656\) | −4.27169 | − | 2.46626i | −0.166781 | − | 0.0962913i | ||||
\(657\) | −3.01812 | + | 9.47904i | −0.117748 | + | 0.369812i | ||||
\(658\) | −16.3464 | − | 20.1861i | −0.637248 | − | 0.786936i | ||||
\(659\) | 10.0651 | − | 7.31276i | 0.392083 | − | 0.284865i | −0.374226 | − | 0.927338i | \(-0.622092\pi\) |
0.766308 | + | 0.642473i | \(0.222092\pi\) | |||||||
\(660\) | 3.84933 | + | 18.4341i | 0.149835 | + | 0.717547i | ||||
\(661\) | 14.2704 | + | 15.8489i | 0.555054 | + | 0.616450i | 0.953738 | − | 0.300639i | \(-0.0971998\pi\) |
−0.398684 | + | 0.917088i | \(0.630533\pi\) | |||||||
\(662\) | 6.46309 | − | 16.8369i | 0.251195 | − | 0.654385i | ||||
\(663\) | −29.4729 | − | 20.1282i | −1.14463 | − | 0.781716i | ||||
\(664\) | −0.206757 | + | 0.972715i | −0.00802372 | + | 0.0377487i | ||||
\(665\) | −45.2319 | − | 13.7205i | −1.75402 | − | 0.532059i | ||||
\(666\) | −32.0174 | + | 8.78213i | −1.24065 | + | 0.340300i | ||||
\(667\) | −18.6472 | + | 36.5973i | −0.722024 | + | 1.41705i | ||||
\(668\) | −1.08497 | − | 2.82645i | −0.0419789 | − | 0.109359i | ||||
\(669\) | −5.68959 | + | 24.0111i | −0.219972 | + | 0.928325i | ||||
\(670\) | −21.6397 | − | 10.4958i | −0.836013 | − | 0.405487i | ||||
\(671\) | 12.3964 | + | 27.8427i | 0.478557 | + | 1.07486i | ||||
\(672\) | 7.19765 | + | 0.545076i | 0.277655 | + | 0.0210268i | ||||
\(673\) | 19.2896 | + | 15.6204i | 0.743559 | + | 0.602122i | 0.924415 | − | 0.381388i | \(-0.124554\pi\) |
−0.180857 | + | 0.983509i | \(0.557887\pi\) | |||||||
\(674\) | −10.8613 | + | 7.89121i | −0.418363 | + | 0.303958i | ||||
\(675\) | −19.6847 | − | 16.9562i | −0.757665 | − | 0.652644i | ||||
\(676\) | −1.68046 | − | 2.91065i | −0.0646332 | − | 0.111948i | ||||
\(677\) | −4.22765 | − | 15.7778i | −0.162482 | − | 0.606390i | −0.998348 | − | 0.0574568i | \(-0.981701\pi\) |
0.835866 | − | 0.548933i | \(-0.184966\pi\) | |||||||
\(678\) | 13.4882 | − | 1.81632i | 0.518013 | − | 0.0697552i | ||||
\(679\) | −15.1862 | − | 13.6738i | −0.582795 | − | 0.524751i | ||||
\(680\) | −12.2854 | + | 8.32579i | −0.471122 | + | 0.319279i | ||||
\(681\) | 0.573997 | − | 24.7096i | 0.0219956 | − | 0.946873i | ||||
\(682\) | 20.1143 | + | 18.1198i | 0.770215 | + | 0.693843i | ||||
\(683\) | −16.0149 | − | 16.0149i | −0.612793 | − | 0.612793i | 0.330880 | − | 0.943673i | \(-0.392655\pi\) |
−0.943673 | + | 0.330880i | \(0.892655\pi\) | |||||||
\(684\) | −14.2381 | − | 5.36917i | −0.544406 | − | 0.205295i | ||||
\(685\) | 3.75366 | − | 5.38585i | 0.143420 | − | 0.205783i | ||||
\(686\) | 8.24961 | − | 11.3546i | 0.314971 | − | 0.433521i | ||||
\(687\) | −40.6365 | + | 9.88303i | −1.55038 | + | 0.377061i | ||||
\(688\) | 0.163764 | + | 0.0438805i | 0.00624346 | + | 0.00167293i | ||||
\(689\) | −1.80640 | + | 17.1867i | −0.0688182 | + | 0.654762i | ||||
\(690\) | 17.4414 | − | 15.5916i | 0.663984 | − | 0.593561i | ||||
\(691\) | −0.0627116 | − | 0.596661i | −0.00238566 | − | 0.0226981i | 0.993264 | − | 0.115871i | \(-0.0369658\pi\) |
−0.995650 | + | 0.0931726i | \(0.970299\pi\) | |||||||
\(692\) | −7.09682 | − | 0.371928i | −0.269781 | − | 0.0141386i | ||||
\(693\) | 55.6803 | + | 24.3973i | 2.11512 | + | 0.926776i | ||||
\(694\) | −0.315707 | − | 1.48529i | −0.0119841 | − | 0.0563807i | ||||
\(695\) | 4.13157 | − | 3.48224i | 0.156719 | − | 0.132089i | ||||
\(696\) | 10.6453 | + | 5.03901i | 0.403510 | + | 0.191003i | ||||
\(697\) | 14.8624 | − | 29.1690i | 0.562952 | − | 1.10486i | ||||
\(698\) | 7.22789 | − | 14.1855i | 0.273580 | − | 0.536930i | ||||
\(699\) | −20.3840 | − | 9.64883i | −0.770992 | − | 0.364952i | ||||
\(700\) | −15.3016 | − | 14.1441i | −0.578344 | − | 0.534598i | ||||
\(701\) | −2.18957 | − | 10.3011i | −0.0826990 | − | 0.389068i | 0.917258 | − | 0.398293i | \(-0.130397\pi\) |
−0.999957 | + | 0.00922425i | \(0.997064\pi\) | |||||||
\(702\) | 6.81586 | − | 14.6219i | 0.257248 | − | 0.551867i | ||||
\(703\) | 56.0561 | + | 2.93777i | 2.11419 | + | 0.110800i | ||||
\(704\) | 0.508252 | + | 4.83570i | 0.0191555 | + | 0.182252i | ||||
\(705\) | −1.34969 | + | 24.1015i | −0.0508324 | + | 0.907714i | ||||
\(706\) | −3.01117 | + | 28.6494i | −0.113327 | + | 1.07823i | ||||
\(707\) | 21.2314 | + | 5.68893i | 0.798489 | + | 0.213954i | ||||
\(708\) | 12.1769 | − | 2.96150i | 0.457638 | − | 0.111300i | ||||
\(709\) | −29.8707 | + | 41.1134i | −1.12182 | + | 1.54405i | −0.319067 | + | 0.947732i | \(0.603369\pi\) |
−0.802750 | + | 0.596316i | \(0.796631\pi\) | |||||||
\(710\) | −2.62232 | − | 1.82763i | −0.0984140 | − | 0.0685895i | ||||
\(711\) | −4.07319 | + | 10.8014i | −0.152757 | + | 0.405083i | ||||
\(712\) | −3.85178 | − | 3.85178i | −0.144352 | − | 0.144352i | ||||
\(713\) | 7.00037 | − | 32.8950i | 0.262166 | − | 1.23193i | ||||
\(714\) | −1.11258 | + | 47.8947i | −0.0416373 | + | 1.79241i | ||||
\(715\) | 33.1496 | + | 6.36831i | 1.23972 | + | 0.238161i | ||||
\(716\) | 9.63810 | + | 8.67819i | 0.360193 | + | 0.324319i | ||||
\(717\) | 7.71343 | − | 1.03868i | 0.288063 | − | 0.0387904i | ||||
\(718\) | −5.51586 | − | 20.5855i | −0.205850 | − | 0.768243i | ||||
\(719\) | 16.1756 | + | 28.0170i | 0.603250 | + | 1.04486i | 0.992325 | + | 0.123653i | \(0.0394611\pi\) |
−0.389076 | + | 0.921206i | \(0.627206\pi\) | |||||||
\(720\) | −4.61457 | − | 4.86886i | −0.171975 | − | 0.181452i | ||||
\(721\) | 14.0998 | − | 10.2441i | 0.525102 | − | 0.381509i | ||||
\(722\) | 5.22849 | + | 4.23395i | 0.194584 | + | 0.157571i | ||||
\(723\) | 30.4447 | + | 2.30556i | 1.13225 | + | 0.0857449i | ||||
\(724\) | 4.77092 | + | 10.7157i | 0.177310 | + | 0.398244i | ||||
\(725\) | −15.0380 | − | 30.4928i | −0.558499 | − | 1.13248i | ||||
\(726\) | −5.04884 | + | 21.3071i | −0.187380 | + | 0.790779i | ||||
\(727\) | −14.3166 | − | 37.2961i | −0.530975 | − | 1.38324i | −0.892573 | − | 0.450903i | \(-0.851102\pi\) |
0.361598 | − | 0.932334i | \(-0.382231\pi\) | |||||||
\(728\) | 5.87403 | − | 11.5284i | 0.217706 | − | 0.427272i | ||||
\(729\) | −26.5885 | + | 4.69576i | −0.984760 | + | 0.173917i | ||||
\(730\) | 6.53919 | − | 3.49534i | 0.242026 | − | 0.129368i | ||||
\(731\) | −0.233952 | + | 1.10066i | −0.00865302 | + | 0.0407093i | ||||
\(732\) | −8.96542 | − | 6.12284i | −0.331371 | − | 0.226307i | ||||
\(733\) | 3.13095 | − | 8.15639i | 0.115644 | − | 0.301263i | −0.863526 | − | 0.504304i | \(-0.831749\pi\) |
0.979170 | + | 0.203041i | \(0.0650824\pi\) | |||||||
\(734\) | −10.1834 | − | 11.3098i | −0.375875 | − | 0.417451i | ||||
\(735\) | −39.3064 | + | 8.20778i | −1.44984 | + | 0.302748i | ||||
\(736\) | 4.88680 | − | 3.55047i | 0.180130 | − | 0.130872i | ||||
\(737\) | −32.9124 | − | 40.6434i | −1.21234 | − | 1.49712i | ||||
\(738\) | 14.1001 | + | 4.48946i | 0.519032 | + | 0.165259i | ||||
\(739\) | 2.88409 | + | 1.66513i | 0.106093 | + | 0.0612527i | 0.552108 | − | 0.833773i | \(-0.313824\pi\) |
−0.446015 | + | 0.895026i | \(0.647157\pi\) | |||||||
\(740\) | 21.6694 | + | 11.9496i | 0.796583 | + | 0.439275i | ||||
\(741\) | −18.7170 | + | 19.8407i | −0.687586 | + | 0.728865i | ||||
\(742\) | 20.6687 | − | 10.5312i | 0.758773 | − | 0.386614i | ||||
\(743\) | −3.33428 | − | 3.33428i | −0.122323 | − | 0.122323i | 0.643295 | − | 0.765618i | \(-0.277567\pi\) |
−0.765618 | + | 0.643295i | \(0.777567\pi\) | |||||||
\(744\) | −9.48690 | − | 1.73169i | −0.347807 | − | 0.0634869i | ||||
\(745\) | 29.7312 | + | 23.1239i | 1.08927 | + | 0.847193i | ||||
\(746\) | −12.1246 | − | 3.93953i | −0.443914 | − | 0.144236i | ||||
\(747\) | −0.0176278 | − | 2.98329i | −0.000644966 | − | 0.109153i | ||||
\(748\) | −31.8740 | + | 5.04835i | −1.16543 | + | 0.184586i | ||||
\(749\) | 19.5643 | − | 33.8864i | 0.714866 | − | 1.23818i | ||||
\(750\) | 1.70315 | + | 19.2899i | 0.0621904 | + | 0.704367i | ||||
\(751\) | −0.0628803 | + | 0.598266i | −0.00229453 | + | 0.0218310i | −0.995609 | − | 0.0936067i | \(-0.970160\pi\) |
0.993315 | + | 0.115438i | \(0.0368271\pi\) | |||||||
\(752\) | −0.975012 | + | 6.15599i | −0.0355550 | + | 0.224486i | ||||
\(753\) | 13.8381 | − | 16.2996i | 0.504288 | − | 0.593990i | ||||
\(754\) | 15.6889 | − | 14.1263i | 0.571355 | − | 0.514450i | ||||
\(755\) | 42.0745 | + | 10.3925i | 1.53125 | + | 0.378223i | ||||
\(756\) | −21.4436 | + | 3.01669i | −0.779897 | + | 0.109716i | ||||
\(757\) | −19.4578 | − | 29.9624i | −0.707205 | − | 1.08900i | −0.991480 | − | 0.130258i | \(-0.958419\pi\) |
0.284275 | − | 0.958743i | \(-0.408247\pi\) | |||||||
\(758\) | 7.11192 | + | 18.5272i | 0.258317 | + | 0.672938i | ||||
\(759\) | 48.7335 | − | 14.5923i | 1.76891 | − | 0.529665i | ||||
\(760\) | 4.81580 | + | 10.2687i | 0.174687 | + | 0.372487i | ||||
\(761\) | −8.43288 | + | 18.9406i | −0.305692 | + | 0.686595i | −0.999434 | − | 0.0336283i | \(-0.989294\pi\) |
0.693743 | + | 0.720223i | \(0.255960\pi\) | |||||||
\(762\) | 14.5094 | − | 8.95043i | 0.525619 | − | 0.324240i | ||||
\(763\) | 14.1980 | − | 21.8631i | 0.514004 | − | 0.791496i | ||||
\(764\) | 5.57040 | − | 2.48010i | 0.201530 | − | 0.0897269i | ||||
\(765\) | 30.6674 | − | 32.2761i | 1.10878 | − | 1.16695i | ||||
\(766\) | 1.44137 | + | 13.7137i | 0.0520788 | + | 0.495497i | ||||
\(767\) | 3.51404 | − | 22.1868i | 0.126884 | − | 0.801117i | ||||
\(768\) | −1.05846 | − | 1.37101i | −0.0381939 | − | 0.0494720i | ||||
\(769\) | 33.0724 | − | 19.0943i | 1.19262 | − | 0.688559i | 0.233720 | − | 0.972304i | \(-0.424910\pi\) |
0.958900 | + | 0.283745i | \(0.0915768\pi\) | |||||||
\(770\) | −17.0657 | − | 41.9742i | −0.615005 | − | 1.51264i | ||||
\(771\) | 21.5815 | − | 28.2982i | 0.777237 | − | 1.01914i | ||||
\(772\) | 21.9035 | − | 1.14791i | 0.788324 | − | 0.0413143i | ||||
\(773\) | −16.1318 | + | 8.21957i | −0.580221 | + | 0.295637i | −0.719362 | − | 0.694635i | \(-0.755566\pi\) |
0.139141 | + | 0.990273i | \(0.455566\pi\) | |||||||
\(774\) | −0.508075 | − | 0.0236176i | −0.0182624 | − | 0.000848919i | ||||
\(775\) | 18.3507 | + | 20.9345i | 0.659176 | + | 0.751988i | ||||
\(776\) | 4.90349i | 0.176025i | ||||||||
\(777\) | 71.9985 | − | 34.6030i | 2.58293 | − | 1.24138i | ||||
\(778\) | 1.42886 | + | 27.2643i | 0.0512271 | + | 0.977472i | ||||
\(779\) | −20.2408 | − | 14.7058i | −0.725203 | − | 0.526891i | ||||
\(780\) | −11.2411 | + | 4.26892i | −0.402496 | + | 0.152852i | ||||
\(781\) | −3.47526 | − | 6.01932i | −0.124354 | − | 0.215388i | ||||
\(782\) | 25.2296 | + | 31.1560i | 0.902210 | + | 1.11414i | ||||
\(783\) | −34.4287 | − | 7.94353i | −1.23038 | − | 0.283879i | ||||
\(784\) | −10.3110 | + | 1.08373i | −0.368249 | + | 0.0387045i | ||||
\(785\) | 34.8144 | − | 40.2270i | 1.24258 | − | 1.43576i | ||||
\(786\) | 25.9532 | − | 10.8401i | 0.925720 | − | 0.386654i | ||||
\(787\) | 16.0933 | + | 10.4511i | 0.573664 | + | 0.372542i | 0.798628 | − | 0.601825i | \(-0.205560\pi\) |
−0.224963 | + | 0.974367i | \(0.572226\pi\) | |||||||
\(788\) | 6.10892 | + | 9.40691i | 0.217621 | + | 0.335107i | ||||
\(789\) | −3.12893 | − | 1.48109i | −0.111393 | − | 0.0527283i | ||||
\(790\) | 7.79013 | − | 3.65339i | 0.277161 | − | 0.129982i | ||||
\(791\) | −31.1441 | + | 10.1193i | −1.10736 | + | 0.359802i | ||||
\(792\) | −4.58952 | − | 13.8462i | −0.163082 | − | 0.492003i | ||||
\(793\) | −16.3210 | + | 10.5990i | −0.579575 | + | 0.376380i | ||||
\(794\) | −11.9167 | + | 2.53297i | −0.422907 | + | 0.0898917i | ||||
\(795\) | −20.8032 | − | 5.65415i | −0.737814 | − | 0.200532i | ||||
\(796\) | −2.55614 | − | 2.83888i | −0.0905998 | − | 0.100621i | ||||
\(797\) | 21.9237 | + | 17.7535i | 0.776579 | + | 0.628861i | 0.933429 | − | 0.358761i | \(-0.116801\pi\) |
−0.156850 | + | 0.987622i | \(0.550134\pi\) | |||||||
\(798\) | 36.0194 | + | 6.56578i | 1.27507 | + | 0.232426i | ||||
\(799\) | −41.1400 | − | 4.32399i | −1.45543 | − | 0.152972i | ||||
\(800\) | −0.0653642 | + | 4.99957i | −0.00231098 | + | 0.176762i | ||||
\(801\) | 13.7577 | + | 8.81921i | 0.486104 | + | 0.311611i | ||||
\(802\) | 3.07688 | + | 19.4267i | 0.108648 | + | 0.685979i | ||||
\(803\) | 16.1013 | − | 0.843832i | 0.568202 | − | 0.0297782i | ||||
\(804\) | 17.5793 | + | 6.16677i | 0.619975 | + | 0.217485i | ||||
\(805\) | −34.5578 | + | 44.4322i | −1.21800 | + | 1.56603i | ||||
\(806\) | −9.41823 | + | 14.4951i | −0.331743 | + | 0.510569i | ||||
\(807\) | −2.22317 | + | 2.12223i | −0.0782593 | + | 0.0747060i | ||||
\(808\) | −2.39447 | − | 4.69941i | −0.0842371 | − | 0.165325i | ||||
\(809\) | −8.41935 | + | 9.35064i | −0.296009 | + | 0.328751i | −0.872742 | − | 0.488181i | \(-0.837660\pi\) |
0.576734 | + | 0.816932i | \(0.304327\pi\) | |||||||
\(810\) | 16.6452 | + | 11.3110i | 0.584852 | + | 0.397427i | ||||
\(811\) | −15.9077 | + | 27.5530i | −0.558596 | + | 0.967516i | 0.439018 | + | 0.898478i | \(0.355326\pi\) |
−0.997614 | + | 0.0690382i | \(0.978007\pi\) | |||||||
\(812\) | −27.3726 | − | 7.33447i | −0.960591 | − | 0.257389i | ||||
\(813\) | −9.78533 | − | 12.6748i | −0.343186 | − | 0.444524i | ||||
\(814\) | 31.6286 | + | 43.5330i | 1.10858 | + | 1.52583i | ||||
\(815\) | −4.22833 | − | 18.1336i | −0.148112 | − | 0.635193i | ||||
\(816\) | 8.71925 | − | 7.49160i | 0.305235 | − | 0.262259i | ||||
\(817\) | 0.802840 | + | 0.308181i | 0.0280878 | + | 0.0107819i | ||||
\(818\) | 24.9308 | + | 16.1903i | 0.871685 | + | 0.566079i | ||||
\(819\) | −9.82461 | + | 37.5521i | −0.343300 | + | 1.31218i | ||||
\(820\) | −5.19933 | − | 9.72707i | −0.181569 | − | 0.339684i | ||||
\(821\) | 1.03715 | − | 0.336991i | 0.0361968 | − | 0.0117611i | −0.290863 | − | 0.956765i | \(-0.593942\pi\) |
0.327059 | + | 0.945004i | \(0.393942\pi\) | |||||||
\(822\) | −2.41320 | + | 4.47604i | −0.0841699 | + | 0.156120i | ||||
\(823\) | −40.5389 | + | 15.5614i | −1.41310 | + | 0.542437i | −0.940788 | − | 0.338996i | \(-0.889913\pi\) |
−0.472309 | + | 0.881433i | \(0.656579\pi\) | |||||||
\(824\) | −4.09059 | − | 0.869482i | −0.142503 | − | 0.0302898i | ||||
\(825\) | −14.4572 | + | 39.5495i | −0.503335 | + | 1.37694i | ||||
\(826\) | −27.5460 | + | 12.2643i | −0.958447 | + | 0.426728i | ||||
\(827\) | −14.2070 | − | 0.744559i | −0.494027 | − | 0.0258908i | −0.196304 | − | 0.980543i | \(-0.562894\pi\) |
−0.297723 | + | 0.954652i | \(0.596227\pi\) | |||||||
\(828\) | −12.0457 | + | 13.5381i | −0.418617 | + | 0.470483i | ||||
\(829\) | 13.0540 | + | 17.9673i | 0.453384 | + | 0.624030i | 0.973120 | − | 0.230297i | \(-0.0739698\pi\) |
−0.519736 | + | 0.854327i | \(0.673970\pi\) | |||||||
\(830\) | −1.54117 | + | 1.60294i | −0.0534948 | + | 0.0556388i | ||||
\(831\) | −1.85520 | − | 3.39291i | −0.0643562 | − | 0.117699i | ||||
\(832\) | −2.99890 | + | 0.803552i | −0.103968 | + | 0.0278581i | ||||
\(833\) | −10.7644 | − | 67.9637i | −0.372964 | − | 2.35480i | ||||
\(834\) | −2.87205 | + | 3.04448i | −0.0994511 | + | 0.105422i | ||||
\(835\) | 1.27718 | − | 6.64822i | 0.0441986 | − | 0.230071i | ||||
\(836\) | 24.6630i | 0.852988i | ||||||||
\(837\) | 28.9134 | − | 1.00662i | 0.999395 | − | 0.0347940i | ||||
\(838\) | 22.9069 | − | 22.9069i | 0.791306 | − | 0.791306i | ||||
\(839\) | −9.99167 | + | 30.7512i | −0.344951 | + | 1.06165i | 0.616660 | + | 0.787230i | \(0.288486\pi\) |
−0.961610 | + | 0.274419i | \(0.911514\pi\) | |||||||
\(840\) | 13.0239 | + | 9.53388i | 0.449367 | + | 0.328950i | ||||
\(841\) | −13.9460 | − | 10.1324i | −0.480897 | − | 0.349392i | ||||
\(842\) | 9.90843 | + | 36.9788i | 0.341467 | + | 1.27437i | ||||
\(843\) | 0.577034 | − | 1.96938i | 0.0198741 | − | 0.0678292i | ||||
\(844\) | −12.6297 | − | 1.32743i | −0.434731 | − | 0.0456921i | ||||
\(845\) | 0.245829 | − | 7.51124i | 0.00845679 | − | 0.258394i | ||||
\(846\) | −1.08890 | − | 18.6664i | −0.0374372 | − | 0.641765i | ||||
\(847\) | 2.75739 | − | 52.6140i | 0.0947449 | − | 1.80784i | ||||
\(848\) | −5.19652 | − | 1.99476i | −0.178449 | − | 0.0685003i | ||||
\(849\) | −6.05535 | − | 32.1415i | −0.207819 | − | 1.10309i | ||||
\(850\) | −33.1594 | + | 1.30339i | −1.13736 | + | 0.0447060i | ||||
\(851\) | 27.1892 | − | 61.0680i | 0.932035 | − | 2.09339i | ||||
\(852\) | 2.17934 | + | 1.17496i | 0.0746631 | + | 0.0402536i | ||||
\(853\) | 13.5086 | + | 6.88298i | 0.462526 | + | 0.235669i | 0.669695 | − | 0.742636i | \(-0.266425\pi\) |
−0.207169 | + | 0.978305i | \(0.566425\pi\) | |||||||
\(854\) | 23.8638 | + | 10.6248i | 0.816602 | + | 0.363575i | ||||
\(855\) | −20.6966 | − | 27.0074i | −0.707809 | − | 0.923635i | ||||
\(856\) | −9.18391 | + | 1.95210i | −0.313900 | + | 0.0667214i | ||||
\(857\) | −8.49788 | + | 22.1377i | −0.290282 | + | 0.756210i | 0.708445 | + | 0.705766i | \(0.249397\pi\) |
−0.998727 | + | 0.0504441i | \(0.983936\pi\) | |||||||
\(858\) | −26.0724 | − | 1.97446i | −0.890097 | − | 0.0674068i | ||||
\(859\) | 20.4210 | − | 2.14633i | 0.696756 | − | 0.0732320i | 0.250472 | − | 0.968124i | \(-0.419414\pi\) |
0.446283 | + | 0.894892i | \(0.352747\pi\) | |||||||
\(860\) | 0.259156 | + | 0.276694i | 0.00883715 | + | 0.00943517i | ||||
\(861\) | −35.3132 | − | 4.54298i | −1.20347 | − | 0.154824i | ||||
\(862\) | −0.496589 | + | 1.85330i | −0.0169139 | + | 0.0631235i | ||||
\(863\) | 9.43300 | − | 2.52757i | 0.321103 | − | 0.0860393i | −0.0946672 | − | 0.995509i | \(-0.530179\pi\) |
0.415770 | + | 0.909470i | \(0.363512\pi\) | |||||||
\(864\) | 3.98094 | + | 3.33948i | 0.135434 | + | 0.113611i | ||||
\(865\) | −13.0369 | − | 9.08603i | −0.443267 | − | 0.308934i | ||||
\(866\) | 16.1477 | + | 5.24672i | 0.548722 | + | 0.178291i | ||||
\(867\) | 32.3508 | + | 33.8896i | 1.09869 | + | 1.15095i | ||||
\(868\) | 23.2035 | + | 0.00561785i | 0.787577 | + | 0.000190682i | ||||
\(869\) | 18.7100 | 0.634693 | ||||||||
\(870\) | 14.2643 | + | 22.1383i | 0.483604 | + | 0.750558i | ||||
\(871\) | 22.3445 | − | 24.8161i | 0.757115 | − | 0.840862i | ||||
\(872\) | −6.17828 | + | 0.978543i | −0.209223 | + | 0.0331377i | ||||
\(873\) | −3.14344 | − | 14.3707i | −0.106389 | − | 0.486374i | ||||
\(874\) | 26.5338 | − | 15.3193i | 0.897519 | − | 0.518183i | ||||
\(875\) | −12.3548 | − | 44.9258i | −0.417667 | − | 1.51877i | ||||
\(876\) | −4.72368 | + | 3.26709i | −0.159598 | + | 0.110385i | ||||
\(877\) | 7.97104 | − | 9.84342i | 0.269163 | − | 0.332389i | −0.624586 | − | 0.780956i | \(-0.714732\pi\) |
0.893749 | + | 0.448567i | \(0.148066\pi\) | |||||||
\(878\) | −0.441032 | + | 8.41539i | −0.0148841 | + | 0.284006i | ||||
\(879\) | −38.6398 | + | 16.1390i | −1.30329 | + | 0.544356i | ||||
\(880\) | −4.74478 | + | 9.78256i | −0.159946 | + | 0.329770i | ||||
\(881\) | −8.41789 | + | 39.6030i | −0.283606 | + | 1.33426i | 0.573536 | + | 0.819180i | \(0.305571\pi\) |
−0.857142 | + | 0.515080i | \(0.827762\pi\) | |||||||
\(882\) | 29.5237 | − | 9.78607i | 0.994115 | − | 0.329514i | ||||
\(883\) | −47.4223 | − | 24.1629i | −1.59589 | − | 0.813146i | −0.999949 | − | 0.0101170i | \(-0.996780\pi\) |
−0.595940 | − | 0.803029i | \(-0.703220\pi\) | |||||||
\(884\) | −6.36755 | − | 19.5973i | −0.214164 | − | 0.659128i | ||||
\(885\) | 26.6195 | + | 8.75474i | 0.894804 | + | 0.294287i | ||||
\(886\) | 23.4081 | + | 4.97554i | 0.786410 | + | 0.167157i | ||||
\(887\) | 18.5849 | − | 28.6182i | 0.624018 | − | 0.960904i | −0.375402 | − | 0.926862i | \(-0.622495\pi\) |
0.999420 | − | 0.0340418i | \(-0.0108379\pi\) | |||||||
\(888\) | −17.7305 | − | 7.28293i | −0.594998 | − | 0.244399i | ||||
\(889\) | −30.4829 | + | 27.4470i | −1.02236 | + | 0.920541i | ||||
\(890\) | −2.76598 | − | 11.8622i | −0.0927159 | − | 0.397622i | ||||
\(891\) | 22.3268 | + | 37.6369i | 0.747977 | + | 1.26088i | ||||
\(892\) | −11.0718 | + | 8.96575i | −0.370711 | + | 0.300195i | ||||
\(893\) | −8.18230 | + | 30.5368i | −0.273810 | + | 1.02187i | ||||
\(894\) | −24.9209 | − | 15.1705i | −0.833480 | − | 0.507376i | ||||
\(895\) | 8.05461 | + | 27.8593i | 0.269236 | + | 0.931235i | ||||
\(896\) | 3.09703 | + | 2.78858i | 0.103465 | + | 0.0931599i | ||||
\(897\) | 14.0705 | + | 29.2765i | 0.469800 | + | 0.977514i | ||||
\(898\) | −1.31360 | + | 1.31360i | −0.0438356 | + | 0.0438356i | ||||
\(899\) | 35.3421 | + | 13.5764i | 1.17873 | + | 0.452798i | ||||
\(900\) | −3.01348 | − | 14.6942i | −0.100449 | − | 0.489806i | ||||
\(901\) | 11.4160 | − | 35.1349i | 0.380323 | − | 1.17051i | ||||
\(902\) | −1.25520 | − | 23.9507i | −0.0417937 | − | 0.797471i | ||||
\(903\) | 1.21285 | − | 0.163321i | 0.0403610 | − | 0.00543499i | ||||
\(904\) | 6.80499 | + | 3.92886i | 0.226331 | + | 0.130672i | ||||
\(905\) | −3.59341 | + | 25.9812i | −0.119449 | + | 0.863644i | ||||
\(906\) | −33.2958 | − | 4.28344i | −1.10618 | − | 0.142308i | ||||
\(907\) | 51.5433 | + | 8.16366i | 1.71147 | + | 0.271070i | 0.933849 | − | 0.357667i | \(-0.116428\pi\) |
0.777618 | + | 0.628737i | \(0.216428\pi\) | |||||||
\(908\) | 8.98036 | − | 11.0898i | 0.298024 | − | 0.368028i | ||||
\(909\) | 10.0301 | + | 12.2376i | 0.332678 | + | 0.405895i | ||||
\(910\) | 24.7667 | − | 14.9552i | 0.821007 | − | 0.495761i | ||||
\(911\) | 7.40914 | + | 34.8573i | 0.245476 | + | 1.15487i | 0.912257 | + | 0.409619i | \(0.134338\pi\) |
−0.666781 | + | 0.745254i | \(0.732328\pi\) | |||||||
\(912\) | −4.61247 | − | 7.47720i | −0.152734 | − | 0.247595i | ||||
\(913\) | −4.51417 | + | 1.73283i | −0.149397 | + | 0.0573482i | ||||
\(914\) | 10.9060 | + | 33.5653i | 0.360740 | + | 1.11024i | ||||
\(915\) | −9.79456 | − | 22.2127i | −0.323798 | − | 0.734331i | ||||
\(916\) | −22.0579 | − | 9.82082i | −0.728814 | − | 0.324489i | ||||
\(917\) | −56.7560 | + | 36.8578i | −1.87425 | + | 1.21715i | ||||
\(918\) | −20.7510 | + | 27.5453i | −0.684884 | + | 0.909130i | ||||
\(919\) | 9.44272 | + | 21.2087i | 0.311487 | + | 0.699611i | 0.999664 | − | 0.0259323i | \(-0.00825543\pi\) |
−0.688177 | + | 0.725543i | \(0.741589\pi\) | |||||||
\(920\) | 13.4718 | − | 0.971692i | 0.444152 | − | 0.0320357i | ||||
\(921\) | 1.17882 | + | 14.4330i | 0.0388433 | + | 0.475583i | ||||
\(922\) | −14.8640 | − | 2.35423i | −0.489521 | − | 0.0775326i | ||||
\(923\) | 3.44899 | − | 2.79294i | 0.113525 | − | 0.0919308i | ||||
\(924\) | 16.8382 | + | 30.7948i | 0.553935 | + | 1.01307i | ||||
\(925\) | 27.0378 | + | 48.2777i | 0.888999 | + | 1.58736i | ||||
\(926\) | −10.0718 | + | 13.8626i | −0.330980 | + | 0.455555i | ||||
\(927\) | 12.5457 | − | 0.0741307i | 0.412055 | − | 0.00243477i | ||||
\(928\) | 3.08708 | + | 6.05873i | 0.101338 | + | 0.198887i | ||||
\(929\) | 19.4895 | 0.639430 | 0.319715 | − | 0.947514i | \(-0.396413\pi\) | ||||
0.319715 | + | 0.947514i | \(0.396413\pi\) | |||||||
\(930\) | −15.9698 | − | 14.4902i | −0.523669 | − | 0.475153i | ||||
\(931\) | −52.5880 | −1.72350 | ||||||||
\(932\) | −5.91121 | − | 11.6014i | −0.193628 | − | 0.380017i | ||||
\(933\) | −23.8923 | + | 0.696284i | −0.782200 | + | 0.0227953i | ||||
\(934\) | 4.71643 | − | 6.49160i | 0.154326 | − | 0.212412i | ||||
\(935\) | −66.4860 | − | 28.0500i | −2.17432 | − | 0.917331i | ||||
\(936\) | 8.27376 | − | 4.27746i | 0.270436 | − | 0.139813i | ||||
\(937\) | −3.66031 | + | 2.96406i | −0.119577 | + | 0.0968316i | −0.687244 | − | 0.726427i | \(-0.741180\pi\) |
0.567667 | + | 0.823258i | \(0.307846\pi\) | |||||||
\(938\) | −44.2725 | − | 7.01208i | −1.44555 | − | 0.228953i | ||||
\(939\) | −19.8800 | + | 1.62370i | −0.648758 | + | 0.0529874i | ||||
\(940\) | −9.12030 | + | 10.5382i | −0.297471 | + | 0.343719i | ||||
\(941\) | 5.36463 | + | 12.0491i | 0.174882 | + | 0.392791i | 0.979626 | − | 0.200831i | \(-0.0643642\pi\) |
−0.804744 | + | 0.593622i | \(0.797697\pi\) | |||||||
\(942\) | −23.2404 | + | 34.0299i | −0.757213 | + | 1.10876i | ||||
\(943\) | −24.9878 | + | 16.2273i | −0.813714 | + | 0.528432i | ||||
\(944\) | 6.60977 | + | 2.94286i | 0.215130 | + | 0.0957819i | ||||
\(945\) | −44.2810 | − | 19.5919i | −1.44046 | − | 0.637323i | ||||
\(946\) | 0.254743 | + | 0.784019i | 0.00828242 | + | 0.0254907i | ||||
\(947\) | 35.9817 | − | 13.8121i | 1.16925 | − | 0.448833i | 0.305224 | − | 0.952281i | \(-0.401269\pi\) |
0.864025 | + | 0.503448i | \(0.167935\pi\) | |||||||
\(948\) | −5.67240 | + | 3.49914i | −0.184231 | + | 0.113647i | ||||
\(949\) | 2.14046 | + | 10.0701i | 0.0694824 | + | 0.326889i | ||||
\(950\) | −2.98048 | + | 25.1856i | −0.0966995 | + | 0.817127i | ||||
\(951\) | −22.6562 | + | 19.4662i | −0.734676 | + | 0.631236i | ||||
\(952\) | −17.4067 | + | 21.4955i | −0.564154 | + | 0.696672i | ||||
\(953\) | −29.9957 | − | 4.75086i | −0.971658 | − | 0.153895i | −0.349627 | − | 0.936889i | \(-0.613692\pi\) |
−0.622030 | + | 0.782993i | \(0.713692\pi\) | |||||||
\(954\) | 16.5082 | + | 2.51475i | 0.534474 | + | 0.0814181i | ||||
\(955\) | 13.5060 | + | 1.86799i | 0.437044 | + | 0.0604467i | ||||
\(956\) | 3.89153 | + | 2.24677i | 0.125861 | + | 0.0726658i | ||||
\(957\) | 7.64258 | + | 56.7549i | 0.247049 | + | 1.83463i | ||||
\(958\) | 2.00942 | + | 38.3420i | 0.0649214 | + | 1.23877i | ||||
\(959\) | 3.78090 | − | 11.6364i | 0.122092 | − | 0.375759i | ||||
\(960\) | −0.391037 | − | 3.85319i | −0.0126207 | − | 0.124361i | ||||
\(961\) | −30.8286 | − | 3.25531i | −0.994471 | − | 0.105010i | ||||
\(962\) | −24.2951 | + | 24.2951i | −0.783307 | + | 0.783307i | ||||
\(963\) | 25.6639 | − | 11.6085i | 0.827008 | − | 0.374079i | ||||
\(964\) | 13.0998 | + | 11.7951i | 0.421917 | + | 0.379896i | ||||
\(965\) | 42.9476 | + | 23.6834i | 1.38253 | + | 0.762397i | ||||
\(966\) | 22.6717 | − | 37.2434i | 0.729450 | − | 1.19829i | ||||
\(967\) | −6.14921 | + | 22.9492i | −0.197745 | + | 0.737996i | 0.793794 | + | 0.608187i | \(0.208103\pi\) |
−0.991539 | + | 0.129809i | \(0.958564\pi\) | |||||||
\(968\) | −9.82489 | + | 7.95604i | −0.315784 | + | 0.255717i | ||||
\(969\) | 47.9560 | − | 33.1683i | 1.54057 | − | 1.06552i | ||||
\(970\) | −5.78994 | + | 9.31115i | −0.185904 | + | 0.298963i | ||||
\(971\) | −27.3406 | + | 24.6176i | −0.877401 | + | 0.790016i | −0.978797 | − | 0.204830i | \(-0.934336\pi\) |
0.101396 | + | 0.994846i | \(0.467669\pi\) | |||||||
\(972\) | −13.8078 | − | 7.23500i | −0.442885 | − | 0.232063i | ||||
\(973\) | 5.48475 | − | 8.44577i | 0.175833 | − | 0.270759i | ||||
\(974\) | 4.17319 | + | 0.887038i | 0.133718 | + | 0.0284225i | ||||
\(975\) | −26.3862 | − | 5.16709i | −0.845035 | − | 0.165479i | ||||
\(976\) | −1.93695 | − | 5.96133i | −0.0620004 | − | 0.190818i | ||||
\(977\) | −27.0313 | − | 13.7731i | −0.864807 | − | 0.440641i | −0.0354577 | − | 0.999371i | \(-0.511289\pi\) |
−0.829350 | + | 0.558730i | \(0.811289\pi\) | |||||||
\(978\) | 4.85466 | + | 13.5815i | 0.155235 | + | 0.434288i | ||||
\(979\) | 5.50681 | − | 25.9075i | 0.175999 | − | 0.828008i | ||||
\(980\) | −20.8590 | − | 10.1171i | −0.666316 | − | 0.323179i | ||||
\(981\) | 17.4794 | − | 6.82849i | 0.558075 | − | 0.218017i | ||||
\(982\) | 1.21790 | − | 23.2390i | 0.0388648 | − | 0.741585i | ||||
\(983\) | 0.287728 | − | 0.355314i | 0.00917708 | − | 0.0113328i | −0.772537 | − | 0.634970i | \(-0.781012\pi\) |
0.781714 | + | 0.623637i | \(0.214346\pi\) | |||||||
\(984\) | 4.85980 | + | 7.02650i | 0.154925 | + | 0.223997i | ||||
\(985\) | 0.492638 | + | 25.0759i | 0.0156967 | + | 0.798985i | ||||
\(986\) | −39.0844 | + | 22.5654i | −1.24470 | + | 0.718628i | ||||
\(987\) | 10.6318 | + | 43.7151i | 0.338413 | + | 1.39147i | ||||
\(988\) | −15.5539 | + | 2.46349i | −0.494835 | + | 0.0783742i | ||||
\(989\) | 0.685257 | − | 0.761055i | 0.0217899 | − | 0.0242001i | ||||
\(990\) | 7.63432 | − | 31.7115i | 0.242635 | − | 1.00786i | ||||
\(991\) | 10.8260 | 0.343900 | 0.171950 | − | 0.985106i | \(-0.444993\pi\) | ||||
0.171950 | + | 0.985106i | \(0.444993\pi\) | |||||||
\(992\) | −3.72456 | − | 4.13856i | −0.118255 | − | 0.131399i | ||||
\(993\) | −22.5950 | + | 21.5691i | −0.717031 | + | 0.684474i | ||||
\(994\) | −5.66566 | − | 1.84089i | −0.179704 | − | 0.0583893i | ||||
\(995\) | −1.50172 | − | 8.40893i | −0.0476076 | − | 0.266581i | ||||
\(996\) | 1.04451 | − | 1.36959i | 0.0330965 | − | 0.0433971i | ||||
\(997\) | 6.07190 | − | 1.62696i | 0.192299 | − | 0.0515264i | −0.161384 | − | 0.986892i | \(-0.551596\pi\) |
0.353683 | + | 0.935365i | \(0.384929\pi\) | |||||||
\(998\) | 2.39274 | − | 8.92981i | 0.0757408 | − | 0.282668i | ||||
\(999\) | 56.6318 | + | 9.97775i | 1.79175 | + | 0.315682i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.bs.a.107.18 | ✓ | 1024 | |
3.2 | odd | 2 | inner | 930.2.bs.a.107.49 | yes | 1024 | |
5.3 | odd | 4 | inner | 930.2.bs.a.293.2 | yes | 1024 | |
15.8 | even | 4 | inner | 930.2.bs.a.293.33 | yes | 1024 | |
31.20 | even | 15 | inner | 930.2.bs.a.857.33 | yes | 1024 | |
93.20 | odd | 30 | inner | 930.2.bs.a.857.2 | yes | 1024 | |
155.113 | odd | 60 | inner | 930.2.bs.a.113.49 | yes | 1024 | |
465.113 | even | 60 | inner | 930.2.bs.a.113.18 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bs.a.107.18 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
930.2.bs.a.107.49 | yes | 1024 | 3.2 | odd | 2 | inner | |
930.2.bs.a.113.18 | yes | 1024 | 465.113 | even | 60 | inner | |
930.2.bs.a.113.49 | yes | 1024 | 155.113 | odd | 60 | inner | |
930.2.bs.a.293.2 | yes | 1024 | 5.3 | odd | 4 | inner | |
930.2.bs.a.293.33 | yes | 1024 | 15.8 | even | 4 | inner | |
930.2.bs.a.857.2 | yes | 1024 | 93.20 | odd | 30 | inner | |
930.2.bs.a.857.33 | yes | 1024 | 31.20 | even | 15 | inner |