Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(271,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.271");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bf (of order \(6\), degree \(2\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Character | \(\chi\) | \(=\) | 756.271 |
Dual form | 756.2.bf.b.703.1 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40043 | − | 0.196974i | −0.990253 | − | 0.139282i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.92240 | + | 0.551696i | 0.961201 | + | 0.275848i | ||||
\(5\) | −1.71130 | − | 0.988019i | −0.765316 | − | 0.441855i | 0.0658851 | − | 0.997827i | \(-0.479013\pi\) |
−0.831201 | + | 0.555972i | \(0.812346\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.27191 | + | 1.35588i | −0.858703 | + | 0.512474i | ||||
\(8\) | −2.58352 | − | 1.15127i | −0.913412 | − | 0.407037i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.20194 | + | 1.72073i | 0.696314 | + | 0.544143i | ||||
\(11\) | 4.16608 | − | 2.40529i | 1.25612 | − | 0.725222i | 0.283803 | − | 0.958883i | \(-0.408404\pi\) |
0.972318 | + | 0.233660i | \(0.0750704\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.20168i | 1.72004i | 0.510263 | + | 0.860018i | \(0.329548\pi\) | ||||
−0.510263 | + | 0.860018i | \(0.670452\pi\) | |||||||
\(14\) | 3.44873 | − | 1.45131i | 0.921711 | − | 0.387878i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.39126 | + | 2.12116i | 0.847816 | + | 0.530291i | ||||
\(17\) | −0.655890 | + | 0.378678i | −0.159077 | + | 0.0918430i | −0.577425 | − | 0.816444i | \(-0.695942\pi\) |
0.418348 | + | 0.908287i | \(0.362609\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.65579 | − | 6.33201i | 0.838695 | − | 1.45266i | −0.0522903 | − | 0.998632i | \(-0.516652\pi\) |
0.890986 | − | 0.454031i | \(-0.150015\pi\) | |||||||
\(20\) | −2.74472 | − | 2.84349i | −0.613738 | − | 0.635823i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.30808 | + | 2.54783i | −1.34489 | + | 0.543199i | ||||
\(23\) | −4.09984 | − | 2.36705i | −0.854877 | − | 0.493563i | 0.00741666 | − | 0.999972i | \(-0.497639\pi\) |
−0.862293 | + | 0.506409i | \(0.830973\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.547638 | − | 0.948537i | −0.109528 | − | 0.189707i | ||||
\(26\) | 1.22157 | − | 8.68501i | 0.239569 | − | 1.70327i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.11557 | + | 1.35314i | −0.966751 | + | 0.255720i | ||||
\(29\) | −3.09904 | −0.575476 | −0.287738 | − | 0.957709i | \(-0.592903\pi\) | ||||
−0.287738 | + | 0.957709i | \(0.592903\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.85546 | − | 6.67786i | −0.692462 | − | 1.19938i | −0.971029 | − | 0.238962i | \(-0.923193\pi\) |
0.278567 | − | 0.960417i | \(-0.410140\pi\) | |||||||
\(32\) | −4.33141 | − | 3.63853i | −0.765692 | − | 0.643207i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.993118 | − | 0.401119i | 0.170318 | − | 0.0687913i | ||||
\(35\) | 5.22756 | − | 0.0756214i | 0.883618 | − | 0.0127824i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.98879 | − | 6.90878i | 0.655753 | − | 1.13580i | −0.325952 | − | 0.945386i | \(-0.605685\pi\) |
0.981705 | − | 0.190411i | \(-0.0609819\pi\) | |||||||
\(38\) | −6.36691 | + | 8.14744i | −1.03285 | + | 1.32169i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.28369 | + | 4.52274i | 0.519197 | + | 0.715108i | ||||
\(41\) | 6.55939i | 1.02441i | 0.858865 | + | 0.512203i | \(0.171170\pi\) | ||||
−0.858865 | + | 0.512203i | \(0.828830\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 1.68401i | − | 0.256809i | −0.991722 | − | 0.128404i | \(-0.959014\pi\) | ||
0.991722 | − | 0.128404i | \(-0.0409855\pi\) | |||||||
\(44\) | 9.33588 | − | 2.32552i | 1.40744 | − | 0.350586i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.27529 | + | 4.12244i | 0.777800 | + | 0.607821i | ||||
\(47\) | −1.30195 | + | 2.25504i | −0.189909 | + | 0.328932i | −0.945220 | − | 0.326435i | \(-0.894153\pi\) |
0.755311 | + | 0.655367i | \(0.227486\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.32318 | − | 6.16088i | 0.474740 | − | 0.880126i | ||||
\(50\) | 0.580091 | + | 1.43623i | 0.0820373 | + | 0.203113i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.42144 | + | 11.9221i | −0.474469 | + | 1.65330i | ||||
\(53\) | −7.08914 | − | 12.2788i | −0.973769 | − | 1.68662i | −0.683939 | − | 0.729539i | \(-0.739735\pi\) |
−0.289830 | − | 0.957078i | \(-0.593599\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.50588 | −1.28177 | ||||||||
\(56\) | 7.43052 | − | 0.887345i | 0.992945 | − | 0.118576i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.33998 | + | 0.610429i | 0.569867 | + | 0.0801533i | ||||
\(59\) | 0.705675 | + | 1.22226i | 0.0918710 | + | 0.159125i | 0.908298 | − | 0.418323i | \(-0.137382\pi\) |
−0.816427 | + | 0.577448i | \(0.804049\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.09038 | − | 2.93893i | −0.651757 | − | 0.376292i | 0.137372 | − | 0.990519i | \(-0.456134\pi\) |
−0.789129 | + | 0.614228i | \(0.789468\pi\) | |||||||
\(62\) | 4.08394 | + | 10.1113i | 0.518661 | + | 1.28414i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.34914 | + | 5.94868i | 0.668642 | + | 0.743584i | ||||
\(65\) | 6.12738 | − | 10.6129i | 0.760008 | − | 1.31637i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.74455 | + | 2.73927i | −0.579640 | + | 0.334655i | −0.760990 | − | 0.648763i | \(-0.775286\pi\) |
0.181351 | + | 0.983419i | \(0.441953\pi\) | |||||||
\(68\) | −1.46980 | + | 0.366120i | −0.178239 | + | 0.0443986i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −7.33572 | − | 0.923790i | −0.876786 | − | 0.110414i | ||||
\(71\) | − | 13.5839i | − | 1.61211i | −0.591842 | − | 0.806054i | \(-0.701599\pi\) | ||
0.591842 | − | 0.806054i | \(-0.298401\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.77149 | − | 2.75482i | 0.558460 | − | 0.322427i | −0.194067 | − | 0.980988i | \(-0.562168\pi\) |
0.752527 | + | 0.658561i | \(0.228835\pi\) | |||||||
\(74\) | −6.94686 | + | 8.88957i | −0.807557 | + | 1.03339i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.5212 | − | 10.1558i | 1.20687 | − | 1.16495i | ||||
\(77\) | −6.20370 | + | 11.1133i | −0.706977 | + | 1.26648i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.07352 | − | 1.77450i | −0.345798 | − | 0.199646i | 0.317035 | − | 0.948414i | \(-0.397313\pi\) |
−0.662833 | + | 0.748767i | \(0.730646\pi\) | |||||||
\(80\) | −3.70772 | − | 6.98058i | −0.414535 | − | 0.780452i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.29203 | − | 9.18596i | 0.142681 | − | 1.01442i | ||||
\(83\) | −1.69786 | −0.186365 | −0.0931823 | − | 0.995649i | \(-0.529704\pi\) | ||||
−0.0931823 | + | 0.995649i | \(0.529704\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.49657 | 0.162325 | ||||||||
\(86\) | −0.331705 | + | 2.35833i | −0.0357687 | + | 0.254305i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −13.5323 | + | 1.41781i | −1.44255 | + | 0.151139i | ||||
\(89\) | 3.63341 | + | 2.09775i | 0.385140 | + | 0.222361i | 0.680052 | − | 0.733164i | \(-0.261957\pi\) |
−0.294912 | + | 0.955524i | \(0.595290\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.40873 | − | 14.0897i | −0.881474 | − | 1.47700i | ||||
\(92\) | −6.57566 | − | 6.81228i | −0.685560 | − | 0.710230i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.26747 | − | 2.90158i | 0.233872 | − | 0.299275i | ||||
\(95\) | −12.5123 | + | 7.22398i | −1.28373 | + | 0.741164i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 2.34249i | − | 0.237844i | −0.992904 | − | 0.118922i | \(-0.962056\pi\) | ||
0.992904 | − | 0.118922i | \(-0.0379439\pi\) | |||||||
\(98\) | −5.86741 | + | 7.97330i | −0.592698 | + | 0.805425i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.529477 | − | 2.12560i | −0.0529477 | − | 0.212560i | ||||
\(101\) | 7.25423 | − | 4.18823i | 0.721823 | − | 0.416745i | −0.0936004 | − | 0.995610i | \(-0.529838\pi\) |
0.815423 | + | 0.578865i | \(0.196504\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.97152 | − | 8.61093i | 0.489859 | − | 0.848460i | −0.510073 | − | 0.860131i | \(-0.670382\pi\) |
0.999932 | + | 0.0116708i | \(0.00371503\pi\) | |||||||
\(104\) | 7.13983 | − | 16.0222i | 0.700118 | − | 1.57110i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.50925 | + | 18.5919i | 0.729363 | + | 1.80581i | ||||
\(107\) | −3.80698 | − | 2.19796i | −0.368035 | − | 0.212485i | 0.304565 | − | 0.952492i | \(-0.401489\pi\) |
−0.672600 | + | 0.740007i | \(0.734822\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.717301 | + | 1.24240i | 0.0687050 | + | 0.119000i | 0.898331 | − | 0.439318i | \(-0.144780\pi\) |
−0.829627 | + | 0.558319i | \(0.811447\pi\) | |||||||
\(110\) | 13.3123 | + | 1.87241i | 1.26928 | + | 0.178527i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.5807 | − | 0.220955i | −0.999782 | − | 0.0208783i | ||||
\(113\) | 9.63176 | 0.906080 | 0.453040 | − | 0.891490i | \(-0.350340\pi\) | ||||
0.453040 | + | 0.891490i | \(0.350340\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.67737 | + | 8.10145i | 0.436167 | + | 0.755464i | ||||
\(116\) | −5.95759 | − | 1.70972i | −0.553149 | − | 0.158744i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.747493 | − | 1.85069i | −0.0688123 | − | 0.170370i | ||||
\(119\) | 0.976684 | − | 1.74963i | 0.0895325 | − | 0.160389i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.07083 | − | 10.5150i | 0.551894 | − | 0.955909i | ||||
\(122\) | 6.54982 | + | 5.11844i | 0.592993 | + | 0.463402i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.72761 | − | 14.9646i | −0.334749 | − | 1.34386i | ||||
\(125\) | 12.0445i | 1.07729i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 6.40278i | − | 0.568155i | −0.958801 | − | 0.284077i | \(-0.908313\pi\) | ||
0.958801 | − | 0.284077i | \(-0.0916873\pi\) | |||||||
\(128\) | −6.31935 | − | 9.38434i | −0.558557 | − | 0.829466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −10.6714 | + | 13.6557i | −0.935946 | + | 1.19769i | ||||
\(131\) | 2.50668 | − | 4.34170i | 0.219010 | − | 0.379336i | −0.735496 | − | 0.677529i | \(-0.763051\pi\) |
0.954505 | + | 0.298193i | \(0.0963840\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.279808 | + | 19.3426i | 0.0242625 | + | 1.67722i | ||||
\(134\) | 7.18398 | − | 2.90160i | 0.620601 | − | 0.250660i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.13047 | − | 0.223213i | 0.182686 | − | 0.0191404i | ||||
\(137\) | −3.66512 | − | 6.34817i | −0.313132 | − | 0.542361i | 0.665906 | − | 0.746035i | \(-0.268045\pi\) |
−0.979039 | + | 0.203674i | \(0.934712\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.10443 | −0.772228 | −0.386114 | − | 0.922451i | \(-0.626183\pi\) | ||||
−0.386114 | + | 0.922451i | \(0.626183\pi\) | |||||||
\(140\) | 10.0912 | + | 2.73865i | 0.852861 | + | 0.231458i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.67567 | + | 19.0232i | −0.224537 | + | 1.59640i | ||||
\(143\) | 14.9168 | + | 25.8367i | 1.24741 | + | 2.16058i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.30337 | + | 3.06190i | 0.440421 | + | 0.254277i | ||||
\(146\) | −7.22476 | + | 2.91807i | −0.597925 | + | 0.241501i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 11.4796 | − | 11.0809i | 0.943618 | − | 0.910841i | ||||
\(149\) | −10.1483 | + | 17.5773i | −0.831378 | + | 1.43999i | 0.0655670 | + | 0.997848i | \(0.479114\pi\) |
−0.896945 | + | 0.442141i | \(0.854219\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.56070 | + | 2.05577i | −0.289765 | + | 0.167296i | −0.637836 | − | 0.770172i | \(-0.720170\pi\) |
0.348071 | + | 0.937468i | \(0.386837\pi\) | |||||||
\(152\) | −16.7347 | + | 12.1501i | −1.35736 | + | 0.985500i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 10.8769 | − | 14.3414i | 0.876483 | − | 1.15567i | ||||
\(155\) | 15.2371i | 1.22387i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.79813 | + | 1.03815i | −0.143506 | + | 0.0828535i | −0.570034 | − | 0.821621i | \(-0.693070\pi\) |
0.426528 | + | 0.904475i | \(0.359737\pi\) | |||||||
\(158\) | 3.95471 | + | 3.09046i | 0.314620 | + | 0.245864i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.81740 | + | 10.5061i | 0.301792 | + | 0.830582i | ||||
\(161\) | 12.5239 | − | 0.181170i | 0.987023 | − | 0.0142782i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.41077 | + | 5.43331i | 0.737108 | + | 0.425570i | 0.821017 | − | 0.570904i | \(-0.193407\pi\) |
−0.0839087 | + | 0.996473i | \(0.526740\pi\) | |||||||
\(164\) | −3.61879 | + | 12.6098i | −0.282580 | + | 0.984659i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.37774 | + | 0.334435i | 0.184548 | + | 0.0259572i | ||||
\(167\) | −0.304029 | −0.0235264 | −0.0117632 | − | 0.999931i | \(-0.503744\pi\) | ||||
−0.0117632 | + | 0.999931i | \(0.503744\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −25.4608 | −1.95853 | ||||||||
\(170\) | −2.09583 | − | 0.294784i | −0.160743 | − | 0.0226089i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.929060 | − | 3.23734i | 0.0708401 | − | 0.246845i | ||||
\(173\) | 14.2752 | + | 8.24177i | 1.08532 | + | 0.626610i | 0.932327 | − | 0.361617i | \(-0.117775\pi\) |
0.152993 | + | 0.988227i | \(0.451109\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.53029 | + | 1.41246i | 0.191272 | + | 0.106772i | ||||
\(176\) | 19.2303 | + | 0.679973i | 1.44954 | + | 0.0512549i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.67513 | − | 3.65343i | −0.350416 | − | 0.273836i | ||||
\(179\) | −6.41981 | + | 3.70648i | −0.479839 | + | 0.277035i | −0.720349 | − | 0.693611i | \(-0.756018\pi\) |
0.240511 | + | 0.970647i | \(0.422685\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.53385i | 0.708645i | 0.935123 | + | 0.354323i | \(0.115289\pi\) | ||||
−0.935123 | + | 0.354323i | \(0.884711\pi\) | |||||||
\(182\) | 9.00053 | + | 21.3879i | 0.667164 | + | 1.58538i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.86690 | + | 10.8354i | 0.579956 | + | 0.798793i | ||||
\(185\) | −13.6520 | + | 7.88199i | −1.00372 | + | 0.579496i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.82166 | + | 3.15521i | −0.133213 | + | 0.230732i | ||||
\(188\) | −3.74697 | + | 3.61682i | −0.273276 | + | 0.263784i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 18.9455 | − | 7.65207i | 1.37445 | − | 0.555139i | ||||
\(191\) | 9.51327 | + | 5.49249i | 0.688356 | + | 0.397423i | 0.802996 | − | 0.595984i | \(-0.203238\pi\) |
−0.114640 | + | 0.993407i | \(0.536571\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.04048 | − | 3.53422i | −0.146877 | − | 0.254399i | 0.783195 | − | 0.621777i | \(-0.213589\pi\) |
−0.930072 | + | 0.367378i | \(0.880256\pi\) | |||||||
\(194\) | −0.461410 | + | 3.28050i | −0.0331273 | + | 0.235526i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.78743 | − | 10.0103i | 0.699102 | − | 0.715022i | ||||
\(197\) | 16.9828 | 1.20997 | 0.604986 | − | 0.796236i | \(-0.293179\pi\) | ||||
0.604986 | + | 0.796236i | \(0.293179\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.24122 | + | 10.8101i | 0.442428 | + | 0.766308i | 0.997869 | − | 0.0652480i | \(-0.0207839\pi\) |
−0.555441 | + | 0.831556i | \(0.687451\pi\) | |||||||
\(200\) | 0.322807 | + | 3.08104i | 0.0228259 | + | 0.217863i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.9840 | + | 4.43643i | −0.772832 | + | 0.312146i | ||||
\(203\) | 7.04074 | − | 4.20192i | 0.494163 | − | 0.294917i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.48080 | − | 11.2251i | 0.452639 | − | 0.783994i | ||||
\(206\) | −8.65839 | + | 11.0797i | −0.603259 | + | 0.771962i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −13.1548 | + | 21.0315i | −0.912120 | + | 1.45827i | ||||
\(209\) | − | 35.1729i | − | 2.43296i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 5.89818i | − | 0.406048i | −0.979174 | − | 0.203024i | \(-0.934923\pi\) | ||
0.979174 | − | 0.203024i | \(-0.0650769\pi\) | |||||||
\(212\) | −6.85405 | − | 27.5158i | −0.470738 | − | 1.88979i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.89847 | + | 3.82796i | 0.334852 | + | 0.261674i | ||||
\(215\) | −1.66383 | + | 2.88184i | −0.113472 | + | 0.196540i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 17.8136 | + | 9.94397i | 1.20927 | + | 0.675041i | ||||
\(218\) | −0.759808 | − | 1.88118i | −0.0514607 | − | 0.127410i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −18.2741 | − | 5.24436i | −1.23204 | − | 0.353574i | ||||
\(221\) | −2.34844 | − | 4.06762i | −0.157973 | − | 0.273618i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.14283 | 0.612249 | 0.306125 | − | 0.951991i | \(-0.400968\pi\) | ||||
0.306125 | + | 0.951991i | \(0.400968\pi\) | |||||||
\(224\) | 14.7740 | + | 2.39355i | 0.987129 | + | 0.159926i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.4886 | − | 1.89721i | −0.897248 | − | 0.126200i | ||||
\(227\) | −0.209496 | − | 0.362857i | −0.0139047 | − | 0.0240837i | 0.858989 | − | 0.511994i | \(-0.171093\pi\) |
−0.872894 | + | 0.487910i | \(0.837759\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.23831 | − | 4.17904i | −0.478321 | − | 0.276159i | 0.241395 | − | 0.970427i | \(-0.422395\pi\) |
−0.719717 | + | 0.694268i | \(0.755728\pi\) | |||||||
\(230\) | −4.95455 | − | 12.2668i | −0.326694 | − | 0.808850i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.00641 | + | 3.56784i | 0.525647 | + | 0.234240i | ||||
\(233\) | 7.94314 | − | 13.7579i | 0.520373 | − | 0.901312i | −0.479347 | − | 0.877626i | \(-0.659126\pi\) |
0.999719 | − | 0.0236862i | \(-0.00754024\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.45605 | − | 2.57270i | 0.290681 | − | 0.167825i | ||||
\(236\) | 0.682273 | + | 2.73900i | 0.0444122 | + | 0.178294i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.71241 | + | 2.25786i | −0.110999 | + | 0.146355i | ||||
\(239\) | − | 14.2548i | − | 0.922066i | −0.887383 | − | 0.461033i | \(-0.847479\pi\) | ||
0.887383 | − | 0.461033i | \(-0.152521\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.8755 | − | 10.3204i | 1.15146 | − | 0.664798i | 0.202220 | − | 0.979340i | \(-0.435184\pi\) |
0.949244 | + | 0.314542i | \(0.101851\pi\) | |||||||
\(242\) | −10.5730 | + | 13.5297i | −0.679655 | + | 0.869722i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.16437 | − | 8.45816i | −0.522670 | − | 0.541478i | ||||
\(245\) | −11.7740 | + | 7.25974i | −0.752215 | + | 0.463808i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 39.2691 | + | 22.6720i | 2.49863 | + | 1.44259i | ||||
\(248\) | 2.27262 | + | 21.6911i | 0.144311 | + | 1.37738i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.37245 | − | 16.8675i | 0.150047 | − | 1.06679i | ||||
\(251\) | −25.1877 | −1.58983 | −0.794916 | − | 0.606719i | \(-0.792485\pi\) | ||||
−0.794916 | + | 0.606719i | \(0.792485\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −22.7737 | −1.43177 | ||||||||
\(254\) | −1.26118 | + | 8.96664i | −0.0791335 | + | 0.562617i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.00133 | + | 14.3868i | 0.437583 | + | 0.899178i | ||||
\(257\) | 9.88611 | + | 5.70775i | 0.616679 | + | 0.356040i | 0.775575 | − | 0.631256i | \(-0.217460\pi\) |
−0.158896 | + | 0.987295i | \(0.550793\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.305296 | + | 21.1045i | 0.0189701 | + | 1.31137i | ||||
\(260\) | 17.6344 | − | 17.0219i | 1.09364 | − | 1.05565i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.36563 | + | 5.58649i | −0.269709 | + | 0.345134i | ||||
\(263\) | −10.8107 | + | 6.24157i | −0.666618 | + | 0.384872i | −0.794794 | − | 0.606879i | \(-0.792421\pi\) |
0.128176 | + | 0.991751i | \(0.459088\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 28.0168i | 1.72106i | ||||||||
\(266\) | 3.41813 | − | 27.1430i | 0.209579 | − | 1.66425i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.6322 | + | 2.64843i | −0.649464 | + | 0.161778i | ||||
\(269\) | −24.1273 | + | 13.9299i | −1.47107 | + | 0.849320i | −0.999472 | − | 0.0324965i | \(-0.989654\pi\) |
−0.471593 | + | 0.881816i | \(0.656321\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.180937 | − | 0.313392i | 0.0109911 | − | 0.0190372i | −0.860478 | − | 0.509488i | \(-0.829835\pi\) |
0.871469 | + | 0.490451i | \(0.163168\pi\) | |||||||
\(272\) | −3.02754 | − | 0.107052i | −0.183571 | − | 0.00649098i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.88231 | + | 9.61210i | 0.234539 | + | 0.580688i | ||||
\(275\) | −4.56301 | − | 2.63446i | −0.275160 | − | 0.158864i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0981669 | + | 0.170030i | 0.00589828 | + | 0.0102161i | 0.868959 | − | 0.494883i | \(-0.164789\pi\) |
−0.863061 | + | 0.505099i | \(0.831456\pi\) | |||||||
\(278\) | 12.7501 | + | 1.79334i | 0.764701 | + | 0.107557i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.5926 | − | 5.82298i | −0.812310 | − | 0.347990i | ||||
\(281\) | 11.3060 | 0.674460 | 0.337230 | − | 0.941422i | \(-0.390510\pi\) | ||||
0.337230 | + | 0.941422i | \(0.390510\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.29624 | − | 5.70926i | −0.195941 | − | 0.339380i | 0.751267 | − | 0.659998i | \(-0.229443\pi\) |
−0.947209 | + | 0.320618i | \(0.896110\pi\) | |||||||
\(284\) | 7.49416 | − | 26.1137i | 0.444697 | − | 1.54956i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.8008 | − | 39.1207i | −0.934322 | − | 2.31326i | ||||
\(287\) | −8.89375 | − | 14.9024i | −0.524981 | − | 0.879659i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.21321 | + | 14.2257i | −0.483130 | + | 0.836805i | ||||
\(290\) | −6.82388 | − | 5.33261i | −0.400712 | − | 0.313141i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 10.6925 | − | 2.66346i | 0.625734 | − | 0.155867i | ||||
\(293\) | 11.8939i | 0.694850i | 0.937708 | + | 0.347425i | \(0.112944\pi\) | ||||
−0.937708 | + | 0.347425i | \(0.887056\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 2.78888i | − | 0.162375i | ||||||
\(296\) | −18.2590 | + | 13.2568i | −1.06128 | + | 0.770535i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 17.6742 | − | 22.6168i | 1.02384 | − | 1.31016i | ||||
\(299\) | 14.6797 | − | 25.4259i | 0.848947 | − | 1.47042i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.28331 | + | 3.82592i | 0.131608 | + | 0.220522i | ||||
\(302\) | 5.39143 | − | 2.17759i | 0.310242 | − | 0.125306i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 25.8290 | − | 13.7190i | 1.48139 | − | 0.786838i | ||||
\(305\) | 5.80744 | + | 10.0588i | 0.332533 | + | 0.575964i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.94580 | −0.396418 | −0.198209 | − | 0.980160i | \(-0.563512\pi\) | ||||
−0.198209 | + | 0.980160i | \(0.563512\pi\) | |||||||
\(308\) | −18.0572 | + | 17.9417i | −1.02890 | + | 1.02232i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.00131 | − | 21.3384i | 0.170463 | − | 1.21194i | ||||
\(311\) | −6.75653 | − | 11.7026i | −0.383127 | − | 0.663596i | 0.608380 | − | 0.793646i | \(-0.291820\pi\) |
−0.991507 | + | 0.130050i | \(0.958486\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.8092 | − | 7.97276i | −0.780544 | − | 0.450647i | 0.0560793 | − | 0.998426i | \(-0.482140\pi\) |
−0.836623 | + | 0.547779i | \(0.815473\pi\) | |||||||
\(314\) | 2.72264 | − | 1.09967i | 0.153648 | − | 0.0620581i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.92956 | − | 5.10694i | −0.277309 | − | 0.287288i | ||||
\(317\) | −2.04296 | + | 3.53851i | −0.114744 | + | 0.198742i | −0.917677 | − | 0.397326i | \(-0.869938\pi\) |
0.802933 | + | 0.596069i | \(0.203271\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.9108 | + | 7.45408i | −0.722868 | + | 0.417348i | ||||
\(320\) | −3.27657 | − | 15.4650i | −0.183166 | − | 0.864520i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −17.5745 | − | 2.21317i | −0.979391 | − | 0.123335i | ||||
\(323\) | 5.53747i | 0.308113i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.88252 | − | 3.39628i | 0.326304 | − | 0.188392i | ||||
\(326\) | −12.1089 | − | 9.46264i | −0.670650 | − | 0.524087i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.55166 | − | 16.9463i | 0.416971 | − | 0.935704i | ||||
\(329\) | −0.0996493 | − | 6.88855i | −0.00549384 | − | 0.379778i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.18945 | − | 1.26408i | −0.120343 | − | 0.0694802i | 0.438620 | − | 0.898673i | \(-0.355467\pi\) |
−0.558963 | + | 0.829192i | \(0.688801\pi\) | |||||||
\(332\) | −3.26398 | − | 0.936704i | −0.179134 | − | 0.0514083i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.425771 | + | 0.0598857i | 0.0232971 | + | 0.00327680i | ||||
\(335\) | 10.8258 | 0.591477 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −22.5751 | −1.22974 | −0.614871 | − | 0.788628i | \(-0.710792\pi\) | ||||
−0.614871 | + | 0.788628i | \(0.710792\pi\) | |||||||
\(338\) | 35.6561 | + | 5.01512i | 1.93944 | + | 0.272787i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.87700 | + | 0.825649i | 0.156027 | + | 0.0447771i | ||||
\(341\) | −32.1244 | − | 18.5470i | −1.73963 | − | 1.00438i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.803429 | + | 18.5028i | 0.0433811 | + | 0.999059i | ||||
\(344\) | −1.93875 | + | 4.35066i | −0.104531 | + | 0.234572i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.3679 | − | 14.3538i | −0.987466 | − | 0.771667i | ||||
\(347\) | −17.6758 | + | 10.2051i | −0.948887 | + | 0.547840i | −0.892735 | − | 0.450582i | \(-0.851217\pi\) |
−0.0561522 | + | 0.998422i | \(0.517883\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 25.8627i | 1.38440i | 0.721707 | + | 0.692198i | \(0.243358\pi\) | ||||
−0.721707 | + | 0.692198i | \(0.756642\pi\) | |||||||
\(350\) | −3.26527 | − | 2.47645i | −0.174536 | − | 0.132372i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −26.7967 | − | 4.74012i | −1.42827 | − | 0.252649i | ||||
\(353\) | 8.02023 | − | 4.63048i | 0.426874 | − | 0.246456i | −0.271140 | − | 0.962540i | \(-0.587401\pi\) |
0.698014 | + | 0.716084i | \(0.254067\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −13.4211 | + | 23.2461i | −0.712319 | + | 1.23377i | ||||
\(356\) | 5.82755 | + | 6.03725i | 0.308860 | + | 0.319974i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.72056 | − | 3.92612i | 0.513748 | − | 0.207502i | ||||
\(359\) | 3.83076 | + | 2.21169i | 0.202180 | + | 0.116729i | 0.597672 | − | 0.801741i | \(-0.296093\pi\) |
−0.395492 | + | 0.918469i | \(0.629426\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.2296 | − | 29.8425i | −0.906820 | − | 1.57066i | ||||
\(362\) | 1.87792 | − | 13.3515i | 0.0987012 | − | 0.701738i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.39175 | − | 31.7251i | −0.439847 | − | 1.66285i | ||||
\(365\) | −10.8873 | −0.569865 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.06778 | − | 8.77764i | −0.264536 | − | 0.458189i | 0.702906 | − | 0.711283i | \(-0.251885\pi\) |
−0.967442 | + | 0.253093i | \(0.918552\pi\) | |||||||
\(368\) | −8.88276 | − | 16.7237i | −0.463046 | − | 0.871784i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 20.6712 | − | 8.34908i | 1.07465 | − | 0.434048i | ||||
\(371\) | 32.7544 | + | 18.2843i | 1.70053 | + | 0.949271i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.8755 | − | 27.4972i | 0.822004 | − | 1.42375i | −0.0821834 | − | 0.996617i | \(-0.526189\pi\) |
0.904188 | − | 0.427136i | \(-0.140477\pi\) | |||||||
\(374\) | 3.17260 | − | 4.05983i | 0.164051 | − | 0.209929i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.95979 | − | 4.32705i | 0.307353 | − | 0.223150i | ||||
\(377\) | − | 19.2192i | − | 0.989840i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 28.7095i | 1.47471i | 0.675507 | + | 0.737353i | \(0.263925\pi\) | ||||
−0.675507 | + | 0.737353i | \(0.736075\pi\) | |||||||
\(380\) | −28.0391 | + | 6.98441i | −1.43838 | + | 0.358293i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.2408 | − | 9.56571i | −0.626293 | − | 0.489424i | ||||
\(383\) | 2.28944 | − | 3.96542i | 0.116985 | − | 0.202624i | −0.801587 | − | 0.597879i | \(-0.796010\pi\) |
0.918571 | + | 0.395255i | \(0.129344\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 21.5965 | − | 12.8888i | 1.10066 | − | 0.656876i | ||||
\(386\) | 2.16140 | + | 5.35135i | 0.110012 | + | 0.272376i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.29234 | − | 4.50322i | 0.0656089 | − | 0.228616i | ||||
\(389\) | −9.00917 | − | 15.6043i | −0.456783 | − | 0.791172i | 0.542005 | − | 0.840375i | \(-0.317665\pi\) |
−0.998789 | + | 0.0492031i | \(0.984332\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.58540 | 0.181321 | ||||||||
\(392\) | −15.6784 | + | 12.0909i | −0.791877 | + | 0.610681i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −23.7832 | − | 3.34516i | −1.19818 | − | 0.168527i | ||||
\(395\) | 3.50647 | + | 6.07339i | 0.176430 | + | 0.305585i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −20.9333 | − | 12.0859i | −1.05061 | − | 0.606571i | −0.127792 | − | 0.991801i | \(-0.540789\pi\) |
−0.922821 | + | 0.385230i | \(0.874122\pi\) | |||||||
\(398\) | −6.61107 | − | 16.3681i | −0.331383 | − | 0.820461i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.154817 | − | 4.37837i | 0.00774084 | − | 0.218918i | ||||
\(401\) | 0.218547 | − | 0.378535i | 0.0109137 | − | 0.0189031i | −0.860517 | − | 0.509422i | \(-0.829859\pi\) |
0.871431 | + | 0.490519i | \(0.163193\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 41.4139 | − | 23.9103i | 2.06298 | − | 1.19106i | ||||
\(404\) | 16.2562 | − | 4.04934i | 0.808775 | − | 0.201462i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −10.6877 | + | 4.49765i | −0.530423 | + | 0.223214i | ||||
\(407\) | − | 38.3768i | − | 1.90227i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −25.2698 | + | 14.5895i | −1.24951 | + | 0.721406i | −0.971012 | − | 0.239030i | \(-0.923171\pi\) |
−0.278500 | + | 0.960436i | \(0.589837\pi\) | |||||||
\(410\) | −11.2870 | + | 14.4434i | −0.557423 | + | 0.713308i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.3079 | − | 13.8109i | 0.704899 | − | 0.680414i | ||||
\(413\) | −3.26048 | − | 1.82007i | −0.160438 | − | 0.0895598i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.90555 | + | 1.67752i | 0.142628 | + | 0.0823462i | ||||
\(416\) | 22.5650 | − | 26.8620i | 1.10634 | − | 1.31702i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.92815 | + | 49.2572i | −0.338867 | + | 2.40925i | ||||
\(419\) | 28.9081 | 1.41225 | 0.706126 | − | 0.708086i | \(-0.250441\pi\) | ||||
0.706126 | + | 0.708086i | \(0.250441\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.1451 | 1.22550 | 0.612748 | − | 0.790279i | \(-0.290064\pi\) | ||||
0.612748 | + | 0.790279i | \(0.290064\pi\) | |||||||
\(422\) | −1.16179 | + | 8.25999i | −0.0565550 | + | 0.402090i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.17872 | + | 39.8840i | 0.202937 | + | 1.93694i | ||||
\(425\) | 0.718381 | + | 0.414757i | 0.0348466 | + | 0.0201187i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 15.5497 | − | 0.224941i | 0.752505 | − | 0.0108857i | ||||
\(428\) | −6.10594 | − | 6.32566i | −0.295142 | − | 0.305762i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.89772 | − | 3.70808i | 0.139741 | − | 0.178819i | ||||
\(431\) | 31.3591 | − | 18.1052i | 1.51051 | − | 0.872096i | 0.510590 | − | 0.859824i | \(-0.329427\pi\) |
0.999925 | − | 0.0122715i | \(-0.00390624\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.6847i | 0.801815i | 0.916118 | + | 0.400908i | \(0.131305\pi\) | ||||
−0.916118 | + | 0.400908i | \(0.868695\pi\) | |||||||
\(434\) | −22.9880 | − | 17.4347i | −1.10346 | − | 0.836890i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.693513 | + | 2.78413i | 0.0332133 | + | 0.133336i | ||||
\(437\) | −29.9763 | + | 17.3068i | −1.43396 | + | 0.827898i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.97873 | − | 3.42726i | 0.0944397 | − | 0.163574i | −0.814935 | − | 0.579552i | \(-0.803227\pi\) |
0.909375 | + | 0.415978i | \(0.136561\pi\) | |||||||
\(440\) | 24.5586 | + | 10.9439i | 1.17079 | + | 0.521729i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.48761 | + | 6.15900i | 0.118324 | + | 0.292954i | ||||
\(443\) | −28.3695 | − | 16.3791i | −1.34788 | − | 0.778197i | −0.359928 | − | 0.932980i | \(-0.617199\pi\) |
−0.987948 | + | 0.154783i | \(0.950532\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.14523 | − | 7.17975i | −0.196503 | − | 0.340353i | ||||
\(446\) | −12.8039 | − | 1.80090i | −0.606281 | − | 0.0852750i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.2185 | − | 6.26209i | −0.955233 | − | 0.295856i | ||||
\(449\) | 19.0426 | 0.898674 | 0.449337 | − | 0.893362i | \(-0.351660\pi\) | ||||
0.449337 | + | 0.893362i | \(0.351660\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.7772 | + | 27.3270i | 0.742921 | + | 1.28678i | ||||
\(452\) | 18.5161 | + | 5.31380i | 0.870925 | + | 0.249940i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.221910 | + | 0.549421i | 0.0104148 | + | 0.0257856i | ||||
\(455\) | 0.468980 | + | 32.4196i | 0.0219861 | + | 1.51986i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.15834 | + | 12.3986i | −0.334853 | + | 0.579982i | −0.983457 | − | 0.181144i | \(-0.942020\pi\) |
0.648604 | + | 0.761126i | \(0.275353\pi\) | |||||||
\(458\) | 9.31358 | + | 7.27821i | 0.435195 | + | 0.340088i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.52226 | + | 18.1547i | 0.210851 | + | 0.846468i | ||||
\(461\) | − | 9.65993i | − | 0.449908i | −0.974369 | − | 0.224954i | \(-0.927777\pi\) | ||
0.974369 | − | 0.224954i | \(-0.0722232\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 1.82546i | − | 0.0848364i | −0.999100 | − | 0.0424182i | \(-0.986494\pi\) | ||
0.999100 | − | 0.0424182i | \(-0.0135062\pi\) | |||||||
\(464\) | −10.5096 | − | 6.57356i | −0.487898 | − | 0.305170i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −13.8338 | + | 17.7024i | −0.640836 | + | 0.820048i | ||||
\(467\) | −10.2609 | + | 17.7724i | −0.474819 | + | 0.822411i | −0.999584 | − | 0.0288364i | \(-0.990820\pi\) |
0.524765 | + | 0.851247i | \(0.324153\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.06510 | − | 12.6564i | 0.326236 | − | 0.584419i | ||||
\(470\) | −6.74714 | + | 2.72516i | −0.311222 | + | 0.125702i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.415963 | − | 3.97017i | −0.0191462 | − | 0.182742i | ||||
\(473\) | −4.05052 | − | 7.01571i | −0.186243 | − | 0.322583i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.00820 | −0.367441 | ||||||||
\(476\) | 2.84284 | − | 2.82467i | 0.130302 | − | 0.129468i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.80782 | + | 19.9628i | −0.128427 | + | 0.913078i | ||||
\(479\) | 7.97795 | + | 13.8182i | 0.364522 | + | 0.631370i | 0.988699 | − | 0.149912i | \(-0.0478991\pi\) |
−0.624177 | + | 0.781283i | \(0.714566\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 42.8461 | + | 24.7372i | 1.95361 | + | 1.12792i | ||||
\(482\) | −27.0663 | + | 10.9320i | −1.23283 | + | 0.497940i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 17.4717 | − | 16.8648i | 0.794167 | − | 0.766582i | ||||
\(485\) | −2.31443 | + | 4.00871i | −0.105093 | + | 0.182026i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.89609 | − | 2.24941i | 0.176549 | − | 0.101930i | −0.409121 | − | 0.912480i | \(-0.634165\pi\) |
0.585670 | + | 0.810549i | \(0.300831\pi\) | |||||||
\(488\) | 9.76758 | + | 13.4532i | 0.442157 | + | 0.608998i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 17.9187 | − | 7.84758i | 0.809483 | − | 0.354517i | ||||
\(491\) | − | 13.6569i | − | 0.616326i | −0.951334 | − | 0.308163i | \(-0.900286\pi\) | ||
0.951334 | − | 0.308163i | \(-0.0997141\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.03263 | − | 1.17354i | 0.0915449 | − | 0.0528535i | ||||
\(494\) | −50.5278 | − | 39.4856i | −2.27335 | − | 1.77654i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.08994 | − | 30.8244i | 0.0489396 | − | 1.38406i | ||||
\(497\) | 18.4181 | + | 30.8614i | 0.826164 | + | 1.38432i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −22.1621 | − | 12.7953i | −0.992111 | − | 0.572795i | −0.0862061 | − | 0.996277i | \(-0.527474\pi\) |
−0.905905 | + | 0.423482i | \(0.860808\pi\) | |||||||
\(500\) | −6.64490 | + | 23.1544i | −0.297169 | + | 1.03549i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 35.2736 | + | 4.96132i | 1.57434 | + | 0.221434i | ||||
\(503\) | 21.1389 | 0.942538 | 0.471269 | − | 0.881989i | \(-0.343796\pi\) | ||||
0.471269 | + | 0.881989i | \(0.343796\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.5522 | −0.736563 | ||||||||
\(506\) | 31.8930 | + | 4.48583i | 1.41782 | + | 0.199419i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.53239 | − | 12.3087i | 0.156724 | − | 0.546111i | ||||
\(509\) | 9.04476 | + | 5.22200i | 0.400902 | + | 0.231461i | 0.686873 | − | 0.726777i | \(-0.258983\pi\) |
−0.285971 | + | 0.958238i | \(0.592316\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.10520 | + | 12.7283i | −0.314316 | + | 0.563066i | ||||
\(512\) | −6.97104 | − | 21.5268i | −0.308079 | − | 0.951361i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.7205 | − | 9.94060i | −0.561078 | − | 0.438461i | ||||
\(515\) | −17.0155 | + | 9.82392i | −0.749793 | + | 0.432893i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.5263i | 0.550905i | ||||||||
\(518\) | 3.72949 | − | 29.6155i | 0.163864 | − | 1.30123i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −28.0486 | + | 20.3644i | −1.23001 | + | 0.893038i | ||||
\(521\) | 1.00866 | − | 0.582350i | 0.0441902 | − | 0.0255132i | −0.477742 | − | 0.878500i | \(-0.658545\pi\) |
0.521932 | + | 0.852987i | \(0.325211\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.63052 | − | 8.02030i | 0.202479 | − | 0.350703i | −0.746848 | − | 0.664995i | \(-0.768434\pi\) |
0.949326 | + | 0.314292i | \(0.101767\pi\) | |||||||
\(524\) | 7.21414 | − | 6.96356i | 0.315151 | − | 0.304205i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.3691 | − | 6.61145i | 0.713726 | − | 0.288273i | ||||
\(527\) | 5.05752 | + | 2.91996i | 0.220309 | + | 0.127196i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.294186 | − | 0.509544i | −0.0127907 | − | 0.0221541i | ||||
\(530\) | 5.51858 | − | 39.2356i | 0.239712 | − | 1.70428i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.1333 | + | 37.3386i | −0.439335 | + | 1.61883i | ||||
\(533\) | −40.6793 | −1.76201 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.34325 | + | 7.52274i | 0.187775 | + | 0.325236i | ||||
\(536\) | 15.4113 | − | 1.61467i | 0.665666 | − | 0.0697432i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 36.5323 | − | 14.7554i | 1.57502 | − | 0.636149i | ||||
\(539\) | −0.974048 | − | 33.6600i | −0.0419552 | − | 1.44984i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.4477 | − | 19.8280i | 0.492176 | − | 0.852474i | −0.507783 | − | 0.861485i | \(-0.669535\pi\) |
0.999959 | + | 0.00901057i | \(0.00286819\pi\) | |||||||
\(542\) | −0.315120 | + | 0.403244i | −0.0135356 | + | 0.0173208i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.21876 | + | 0.746264i | 0.180878 | + | 0.0319958i | ||||
\(545\) | − | 2.83483i | − | 0.121431i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 25.4471i | − | 1.08804i | −0.839072 | − | 0.544021i | \(-0.816901\pi\) | ||
0.839072 | − | 0.544021i | \(-0.183099\pi\) | |||||||
\(548\) | −3.54357 | − | 14.2258i | −0.151374 | − | 0.607695i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.87125 | + | 4.58816i | 0.250351 | + | 0.195640i | ||||
\(551\) | −11.3294 | + | 19.6231i | −0.482649 | + | 0.835973i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9.38877 | − | 0.135817i | 0.399251 | − | 0.00577553i | ||||
\(554\) | −0.103984 | − | 0.257451i | −0.00441787 | − | 0.0109381i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −17.5024 | − | 5.02288i | −0.742266 | − | 0.213017i | ||||
\(557\) | 20.9316 | + | 36.2546i | 0.886900 | + | 1.53616i | 0.843520 | + | 0.537098i | \(0.180479\pi\) |
0.0433802 | + | 0.999059i | \(0.486187\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.4437 | 0.441720 | ||||||||
\(560\) | 17.8884 | + | 10.8320i | 0.755924 | + | 0.457738i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.8333 | − | 2.22699i | −0.667886 | − | 0.0939399i | ||||
\(563\) | −12.2973 | − | 21.2995i | −0.518268 | − | 0.897666i | −0.999775 | − | 0.0212241i | \(-0.993244\pi\) |
0.481507 | − | 0.876442i | \(-0.340090\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.4828 | − | 9.51636i | −0.693437 | − | 0.400356i | ||||
\(566\) | 3.49158 | + | 8.64469i | 0.146762 | + | 0.363363i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −15.6388 | + | 35.0942i | −0.656188 | + | 1.47252i | ||||
\(569\) | 15.6153 | − | 27.0464i | 0.654625 | − | 1.13384i | −0.327362 | − | 0.944899i | \(-0.606160\pi\) |
0.981988 | − | 0.188946i | \(-0.0605070\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 27.9035 | − | 16.1101i | 1.16772 | − | 0.674186i | 0.214582 | − | 0.976706i | \(-0.431161\pi\) |
0.953143 | + | 0.302520i | \(0.0978279\pi\) | |||||||
\(572\) | 14.4222 | + | 57.8981i | 0.603021 | + | 2.42084i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.51968 | + | 22.6216i | 0.397344 | + | 0.944205i | ||||
\(575\) | 5.18514i | 0.216235i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.8951 | + | 10.9091i | −0.786613 | + | 0.454151i | −0.838769 | − | 0.544488i | \(-0.816724\pi\) |
0.0521558 | + | 0.998639i | \(0.483391\pi\) | |||||||
\(578\) | 14.3041 | − | 18.3043i | 0.594972 | − | 0.761358i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 8.50598 | + | 8.81206i | 0.353192 | + | 0.365901i | ||||
\(581\) | 3.85740 | − | 2.30210i | 0.160032 | − | 0.0955071i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −59.0679 | − | 34.1029i | −2.44634 | − | 1.41240i | ||||
\(584\) | −15.4988 | + | 1.62384i | −0.641344 | + | 0.0671949i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.34279 | − | 16.6566i | 0.0967798 | − | 0.688077i | ||||
\(587\) | −24.3095 | −1.00336 | −0.501680 | − | 0.865053i | \(-0.667285\pi\) | ||||
−0.501680 | + | 0.865053i | \(0.667285\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −56.3790 | −2.32306 | ||||||||
\(590\) | −0.549337 | + | 3.90563i | −0.0226158 | + | 0.160792i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 28.1817 | − | 14.9686i | 1.15826 | − | 0.615207i | ||||
\(593\) | −11.1015 | − | 6.40944i | −0.455883 | − | 0.263204i | 0.254429 | − | 0.967092i | \(-0.418113\pi\) |
−0.710312 | + | 0.703887i | \(0.751446\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.40007 | + | 2.02916i | −0.139389 | + | 0.0831875i | ||||
\(596\) | −29.2064 | + | 28.1919i | −1.19634 | + | 1.15479i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −25.5661 | + | 32.7157i | −1.04547 | + | 1.33784i | ||||
\(599\) | −3.83331 | + | 2.21316i | −0.156625 | + | 0.0904273i | −0.576264 | − | 0.817264i | \(-0.695490\pi\) |
0.419639 | + | 0.907691i | \(0.362157\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 23.2898i | 0.950013i | 0.879982 | + | 0.475006i | \(0.157554\pi\) | ||||
−0.879982 | + | 0.475006i | \(0.842446\pi\) | |||||||
\(602\) | −2.44401 | − | 5.80768i | −0.0996103 | − | 0.236703i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.97925 | + | 1.98759i | −0.324671 | + | 0.0808740i | ||||
\(605\) | −20.7780 | + | 11.9962i | −0.844747 | + | 0.487715i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.2761 | + | 21.2629i | −0.498273 | + | 0.863034i | −0.999998 | − | 0.00199302i | \(-0.999366\pi\) |
0.501725 | + | 0.865027i | \(0.332699\pi\) | |||||||
\(608\) | −38.8739 | + | 14.1248i | −1.57655 | + | 0.572838i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.15159 | − | 15.2305i | −0.249071 | − | 0.616666i | ||||
\(611\) | −13.9851 | − | 8.07428i | −0.565775 | − | 0.326650i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.1773 | + | 21.0918i | 0.491838 | + | 0.851889i | 0.999956 | − | 0.00939906i | \(-0.00299186\pi\) |
−0.508118 | + | 0.861288i | \(0.669659\pi\) | |||||||
\(614\) | 9.72710 | + | 1.36814i | 0.392554 | + | 0.0552137i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 28.8218 | − | 21.5693i | 1.16127 | − | 0.869052i | ||||
\(617\) | 12.8122 | 0.515802 | 0.257901 | − | 0.966171i | \(-0.416969\pi\) | ||||
0.257901 | + | 0.966171i | \(0.416969\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.9749 | + | 31.1335i | 0.722474 | + | 1.25136i | 0.960005 | + | 0.279981i | \(0.0903282\pi\) |
−0.237532 | + | 0.971380i | \(0.576338\pi\) | |||||||
\(620\) | −8.40623 | + | 29.2918i | −0.337602 | + | 1.17639i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.15692 | + | 17.7196i | 0.286966 | + | 0.710491i | ||||
\(623\) | −11.0991 | + | 0.160558i | −0.444675 | + | 0.00643264i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.16199 | − | 15.8690i | 0.366480 | − | 0.634762i | ||||
\(626\) | 17.7684 | + | 13.8853i | 0.710169 | + | 0.554970i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.02947 | + | 1.00372i | −0.160793 | + | 0.0400529i | ||||
\(629\) | 6.04187i | 0.240905i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 34.7338i | − | 1.38273i | −0.722505 | − | 0.691365i | \(-0.757009\pi\) | ||
0.722505 | − | 0.691365i | \(-0.242991\pi\) | |||||||
\(632\) | 5.89756 | + | 8.12290i | 0.234592 | + | 0.323112i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.55801 | − | 4.55302i | 0.141307 | − | 0.180824i | ||||
\(635\) | −6.32607 | + | 10.9571i | −0.251042 | + | 0.434818i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 38.2078 | + | 20.6093i | 1.51385 | + | 0.816571i | ||||
\(638\) | 19.5490 | − | 7.89581i | 0.773951 | − | 0.312598i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.54240 | + | 22.3030i | 0.0609686 | + | 0.881605i | ||||
\(641\) | 15.2754 | + | 26.4577i | 0.603341 | + | 1.04502i | 0.992311 | + | 0.123767i | \(0.0394974\pi\) |
−0.388971 | + | 0.921250i | \(0.627169\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −34.7066 | −1.36869 | −0.684347 | − | 0.729156i | \(-0.739913\pi\) | ||||
−0.684347 | + | 0.729156i | \(0.739913\pi\) | |||||||
\(644\) | 24.1760 | + | 6.56111i | 0.952667 | + | 0.258544i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.09074 | − | 7.75484i | 0.0429145 | − | 0.305110i | ||||
\(647\) | −1.93040 | − | 3.34356i | −0.0758920 | − | 0.131449i | 0.825582 | − | 0.564282i | \(-0.190847\pi\) |
−0.901474 | + | 0.432834i | \(0.857514\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.87980 | + | 3.39470i | 0.230802 | + | 0.133254i | ||||
\(650\) | −8.90703 | + | 3.59754i | −0.349363 | + | 0.141107i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 15.0938 | + | 15.6369i | 0.591117 | + | 0.612388i | ||||
\(653\) | 18.8640 | − | 32.6734i | 0.738206 | − | 1.27861i | −0.215096 | − | 0.976593i | \(-0.569006\pi\) |
0.953302 | − | 0.302018i | \(-0.0976602\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.57936 | + | 4.95329i | −0.335223 | + | 0.193541i | ||||
\(656\) | −13.9135 | + | 22.2446i | −0.543233 | + | 0.868507i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.21731 | + | 9.66656i | −0.0474558 | + | 0.376842i | ||||
\(659\) | 33.1672i | 1.29201i | 0.763332 | + | 0.646006i | \(0.223562\pi\) | ||||
−0.763332 | + | 0.646006i | \(0.776438\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 28.4996 | − | 16.4543i | 1.10851 | − | 0.639996i | 0.170064 | − | 0.985433i | \(-0.445602\pi\) |
0.938442 | + | 0.345437i | \(0.112269\pi\) | |||||||
\(662\) | 2.81718 | + | 2.20152i | 0.109493 | + | 0.0855645i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.38646 | + | 1.95470i | 0.170228 | + | 0.0758573i | ||||
\(665\) | 18.6320 | − | 33.3774i | 0.722518 | − | 1.29432i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.7056 | + | 7.33556i | 0.491961 | + | 0.284034i | ||||
\(668\) | −0.584466 | − | 0.167731i | −0.0226137 | − | 0.00648972i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −15.1608 | − | 2.13240i | −0.585711 | − | 0.0823818i | ||||
\(671\) | −28.2759 | −1.09158 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.164681 | 0.00634798 | 0.00317399 | − | 0.999995i | \(-0.498990\pi\) | ||||
0.00317399 | + | 0.999995i | \(0.498990\pi\) | |||||||
\(674\) | 31.6148 | + | 4.44670i | 1.21776 | + | 0.171280i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −48.9460 | − | 14.0466i | −1.88254 | − | 0.540255i | ||||
\(677\) | −4.72248 | − | 2.72653i | −0.181500 | − | 0.104789i | 0.406497 | − | 0.913652i | \(-0.366750\pi\) |
−0.587997 | + | 0.808863i | \(0.700083\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.17614 | + | 5.32195i | 0.121889 | + | 0.204238i | ||||
\(680\) | −3.86640 | − | 1.72296i | −0.148270 | − | 0.0660724i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 41.3346 | + | 32.3014i | 1.58278 | + | 1.23689i | ||||
\(683\) | 37.1520 | − | 21.4497i | 1.42158 | − | 0.820751i | 0.425149 | − | 0.905124i | \(-0.360222\pi\) |
0.996434 | + | 0.0843723i | \(0.0268885\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.4848i | 0.553437i | ||||||||
\(686\) | 2.51943 | − | 26.0701i | 0.0961922 | − | 0.995363i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.57205 | − | 5.71091i | 0.136183 | − | 0.217726i | ||||
\(689\) | 76.1489 | − | 43.9646i | 2.90104 | − | 1.67492i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 15.0893 | − | 26.1354i | 0.574023 | − | 0.994237i | −0.422124 | − | 0.906538i | \(-0.638715\pi\) |
0.996147 | − | 0.0876990i | \(-0.0279514\pi\) | |||||||
\(692\) | 22.8956 | + | 23.7195i | 0.870362 | + | 0.901681i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 26.7639 | − | 10.8099i | 1.01594 | − | 0.410338i | ||||
\(695\) | 15.5804 | + | 8.99535i | 0.590998 | + | 0.341213i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.48390 | − | 4.30224i | −0.0940844 | − | 0.162959i | ||||
\(698\) | 5.09427 | − | 36.2188i | 0.192821 | − | 1.37090i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.08498 | + | 4.11127i | 0.154398 | + | 0.155391i | ||||
\(701\) | −16.4790 | −0.622402 | −0.311201 | − | 0.950344i | \(-0.600731\pi\) | ||||
−0.311201 | + | 0.950344i | \(0.600731\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −29.1643 | − | 50.5141i | −1.09995 | − | 1.90518i | ||||
\(704\) | 36.5932 | + | 11.9165i | 1.37916 | + | 0.449118i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −12.1438 | + | 4.90488i | −0.457040 | + | 0.184598i | ||||
\(707\) | −10.8022 | + | 19.3512i | −0.406260 | + | 0.727775i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.26207 | − | 9.11417i | 0.197621 | − | 0.342290i | −0.750135 | − | 0.661284i | \(-0.770012\pi\) |
0.947757 | + | 0.318994i | \(0.103345\pi\) | |||||||
\(710\) | 23.3742 | − | 29.9108i | 0.877218 | − | 1.12253i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.97189 | − | 9.60262i | −0.261283 | − | 0.359873i | ||||
\(713\) | 36.5042i | 1.36709i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 58.9525i | − | 2.20470i | ||||||
\(716\) | −14.3863 | + | 3.58356i | −0.537641 | + | 0.133924i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.92907 | − | 3.85188i | −0.183951 | − | 0.143751i | ||||
\(719\) | −3.40805 | + | 5.90292i | −0.127099 | + | 0.220142i | −0.922551 | − | 0.385874i | \(-0.873900\pi\) |
0.795453 | + | 0.606016i | \(0.207233\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.380513 | + | 26.3041i | 0.0141710 | + | 0.979615i | ||||
\(722\) | 18.2506 | + | 45.1861i | 0.679217 | + | 1.68165i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −5.25978 | + | 18.3279i | −0.195478 | + | 0.681151i | ||||
\(725\) | 1.69715 | + | 2.93955i | 0.0630306 | + | 0.109172i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.85151 | −0.365372 | −0.182686 | − | 0.983171i | \(-0.558479\pi\) | ||||
−0.182686 | + | 0.983171i | \(0.558479\pi\) | |||||||
\(728\) | 5.50303 | + | 46.0817i | 0.203956 | + | 1.70790i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 15.2468 | + | 2.14450i | 0.564310 | + | 0.0793717i | ||||
\(731\) | 0.637697 | + | 1.10452i | 0.0235861 | + | 0.0408523i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 34.0496 | + | 19.6586i | 1.25765 | + | 0.726106i | 0.972618 | − | 0.232411i | \(-0.0746616\pi\) |
0.285035 | + | 0.958517i | \(0.407995\pi\) | |||||||
\(734\) | 5.36809 | + | 13.2907i | 0.198140 | + | 0.490568i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.14554 | + | 25.1700i | 0.337109 | + | 0.927780i | ||||
\(737\) | −13.1775 | + | 22.8241i | −0.485398 | + | 0.840735i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −33.5511 | + | 19.3707i | −1.23420 | + | 0.712564i | −0.967902 | − | 0.251328i | \(-0.919133\pi\) |
−0.266294 | + | 0.963892i | \(0.585799\pi\) | |||||||
\(740\) | −30.5931 | + | 7.62061i | −1.12463 | + | 0.280139i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −42.2687 | − | 32.0576i | −1.55173 | − | 1.17687i | ||||
\(743\) | 32.3439i | 1.18658i | 0.804988 | + | 0.593291i | \(0.202172\pi\) | ||||
−0.804988 | + | 0.593291i | \(0.797828\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 34.7334 | − | 20.0534i | 1.27253 | − | 0.734698i | ||||
\(746\) | −27.6488 | + | 35.3809i | −1.01229 | + | 1.29539i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.24269 | + | 5.06058i | −0.191692 | + | 0.185033i | ||||
\(749\) | 11.6293 | − | 0.168229i | 0.424925 | − | 0.00614694i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.5577 | + | 15.3331i | 0.969104 | + | 0.559513i | 0.898963 | − | 0.438024i | \(-0.144322\pi\) |
0.0701413 | + | 0.997537i | \(0.477655\pi\) | |||||||
\(752\) | −9.19858 | + | 4.88580i | −0.335438 | + | 0.178167i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.78569 | + | 26.9152i | −0.137867 | + | 0.980192i | ||||
\(755\) | 8.12455 | 0.295683 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.2226 | −0.735004 | −0.367502 | − | 0.930023i | \(-0.619787\pi\) | ||||
−0.367502 | + | 0.930023i | \(0.619787\pi\) | |||||||
\(758\) | 5.65502 | − | 40.2056i | 0.205399 | − | 1.46033i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 40.6425 | − | 4.25820i | 1.47426 | − | 0.154461i | ||||
\(761\) | −13.1845 | − | 7.61208i | −0.477938 | − | 0.275938i | 0.241619 | − | 0.970371i | \(-0.422322\pi\) |
−0.719557 | + | 0.694434i | \(0.755655\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.31419 | − | 1.85006i | −0.119982 | − | 0.0669765i | ||||
\(764\) | 15.2582 | + | 15.8072i | 0.552021 | + | 0.571885i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.98728 | + | 5.10233i | −0.144066 | + | 0.184355i | ||||
\(767\) | −7.58010 | + | 4.37637i | −0.273701 | + | 0.158022i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 36.0780i | − | 1.30101i | −0.759503 | − | 0.650504i | \(-0.774558\pi\) | ||
0.759503 | − | 0.650504i | \(-0.225442\pi\) | |||||||
\(770\) | −32.7832 | + | 13.7959i | −1.18142 | + | 0.497171i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.97282 | − | 7.91992i | −0.0710032 | − | 0.285044i | ||||
\(773\) | −11.1535 | + | 6.43945i | −0.401162 | + | 0.231611i | −0.686985 | − | 0.726671i | \(-0.741066\pi\) |
0.285823 | + | 0.958282i | \(0.407733\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.22280 | + | 7.31410i | −0.151687 | + | 0.262730i | ||||
\(776\) | −2.69685 | + | 6.05188i | −0.0968114 | + | 0.217250i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.54306 | + | 23.6274i | 0.342135 | + | 0.847082i | ||||
\(779\) | 41.5342 | + | 23.9798i | 1.48812 | + | 0.859164i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −32.6731 | − | 56.5915i | −1.16914 | − | 2.02500i | ||||
\(782\) | −5.02109 | − | 0.706230i | −0.179554 | − | 0.0252547i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 24.3380 | − | 13.8442i | 0.869215 | − | 0.494434i | ||||
\(785\) | 4.10285 | 0.146437 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.4007 | − | 35.3351i | −0.727207 | − | 1.25956i | −0.958059 | − | 0.286571i | \(-0.907485\pi\) |
0.230852 | − | 0.972989i | \(-0.425849\pi\) | |||||||
\(788\) | 32.6477 | + | 9.36932i | 1.16303 | + | 0.333768i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.71427 | − | 9.19603i | −0.132148 | − | 0.327180i | ||||
\(791\) | −21.8825 | + | 13.0595i | −0.778053 | + | 0.464343i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.2263 | − | 31.5689i | 0.647236 | − | 1.12105i | ||||
\(794\) | 26.9350 | + | 21.0487i | 0.955888 | + | 0.746990i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.03424 | + | 24.2246i | 0.213878 | + | 0.858619i | ||||
\(797\) | 29.4028i | 1.04150i | 0.853710 | + | 0.520749i | \(0.174347\pi\) | ||||
−0.853710 | + | 0.520749i | \(0.825653\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 1.97208i | − | 0.0697673i | ||||||
\(800\) | −1.07923 | + | 6.10110i | −0.0381567 | + | 0.215706i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.380622 | + | 0.487063i | −0.0134402 | + | 0.0171988i | ||||
\(803\) | 13.2523 | − | 22.9536i | 0.467663 | − | 0.810015i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −21.6112 | − | 12.0638i | −0.761694 | − | 0.425194i | ||||
\(806\) | −62.7070 | + | 25.3273i | −2.20876 | + | 0.892115i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −23.5632 | + | 2.46877i | −0.828952 | + | 0.0868509i | ||||
\(809\) | −23.6683 | − | 40.9948i | −0.832135 | − | 1.44130i | −0.896342 | − | 0.443363i | \(-0.853785\pi\) |
0.0642073 | − | 0.997937i | \(-0.479548\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.8075 | −0.555078 | −0.277539 | − | 0.960714i | \(-0.589519\pi\) | ||||
−0.277539 | + | 0.960714i | \(0.589519\pi\) | |||||||
\(812\) | 15.8533 | − | 4.19343i | 0.556342 | − | 0.147161i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.55922 | + | 53.7439i | −0.264950 | + | 1.88372i | ||||
\(815\) | −10.7364 | − | 18.5960i | −0.376081 | − | 0.651391i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.6632 | − | 6.15637i | −0.373056 | − | 0.215384i | ||||
\(818\) | 38.2624 | − | 15.4541i | 1.33781 | − | 0.540341i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 18.6515 | − | 18.0037i | 0.651340 | − | 0.628716i | ||||
\(821\) | −27.6602 | + | 47.9089i | −0.965348 | + | 1.67203i | −0.256671 | + | 0.966499i | \(0.582626\pi\) |
−0.708677 | + | 0.705533i | \(0.750708\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.76958 | − | 5.06312i | 0.305688 | − | 0.176489i | −0.339307 | − | 0.940676i | \(-0.610193\pi\) |
0.644996 | + | 0.764186i | \(0.276859\pi\) | |||||||
\(824\) | −22.7576 | + | 16.5229i | −0.792797 | + | 0.575603i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.20756 | + | 3.19111i | 0.146400 | + | 0.111033i | ||||
\(827\) | 44.1097i | 1.53384i | 0.641740 | + | 0.766922i | \(0.278213\pi\) | ||||
−0.641740 | + | 0.766922i | \(0.721787\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 28.7412 | − | 16.5937i | 0.998224 | − | 0.576325i | 0.0905014 | − | 0.995896i | \(-0.471153\pi\) |
0.907722 | + | 0.419572i | \(0.137820\pi\) | |||||||
\(830\) | −3.73859 | − | 2.92156i | −0.129768 | − | 0.101409i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −36.8918 | + | 33.1736i | −1.27899 | + | 1.15009i | ||||
\(833\) | 0.153350 | + | 5.29928i | 0.00531326 | + | 0.183609i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.520284 | + | 0.300386i | 0.0180052 | + | 0.0103953i | ||||
\(836\) | 19.4048 | − | 67.6165i | 0.671128 | − | 2.33857i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −40.4837 | − | 5.69414i | −1.39849 | − | 0.196701i | ||||
\(839\) | −15.9248 | −0.549787 | −0.274893 | − | 0.961475i | \(-0.588643\pi\) | ||||
−0.274893 | + | 0.961475i | \(0.588643\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.3960 | −0.668827 | ||||||||
\(842\) | −35.2139 | − | 4.95292i | −1.21355 | − | 0.170689i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.25400 | − | 11.3387i | 0.112007 | − | 0.390294i | ||||
\(845\) | 43.5711 | + | 25.1558i | 1.49889 | + | 0.865385i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.464652 | + | 32.1205i | 0.0159656 | + | 1.10367i | ||||
\(848\) | 2.00409 | − | 56.6777i | 0.0688209 | − | 1.94632i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.924345 | − | 0.722341i | −0.0317048 | − | 0.0247761i | ||||
\(851\) | −32.7068 | + | 18.8833i | −1.12118 | + | 0.647311i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 32.9959i | − | 1.12976i | −0.825174 | − | 0.564878i | \(-0.808923\pi\) | ||
0.825174 | − | 0.564878i | \(-0.191077\pi\) | |||||||
\(854\) | −21.8206 | − | 2.74788i | −0.746686 | − | 0.0940305i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.30495 | + | 10.0614i | 0.249678 | + | 0.343890i | ||||
\(857\) | 9.77167 | − | 5.64168i | 0.333794 | − | 0.192716i | −0.323730 | − | 0.946149i | \(-0.604937\pi\) |
0.657524 | + | 0.753433i | \(0.271604\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.2465 | + | 43.7282i | −0.861399 | + | 1.49199i | 0.00918033 | + | 0.999958i | \(0.497078\pi\) |
−0.870579 | + | 0.492029i | \(0.836256\pi\) | |||||||
\(860\) | −4.78845 | + | 4.62213i | −0.163285 | + | 0.157613i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −47.4824 | + | 19.1781i | −1.61726 | + | 0.653209i | ||||
\(863\) | −12.3988 | − | 7.15844i | −0.422060 | − | 0.243676i | 0.273899 | − | 0.961759i | \(-0.411687\pi\) |
−0.695958 | + | 0.718082i | \(0.745020\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.2860 | − | 28.2082i | −0.553742 | − | 0.959109i | ||||
\(866\) | 3.28645 | − | 23.3657i | 0.111678 | − | 0.794000i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 28.7590 | + | 28.9440i | 0.976142 | + | 0.982425i | ||||
\(869\) | −17.0727 | −0.579152 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.9881 | − | 29.4242i | −0.575619 | − | 0.997001i | ||||
\(872\) | −0.422815 | − | 4.03558i | −0.0143183 | − | 0.136662i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 45.3887 | − | 18.3324i | 1.53530 | − | 0.620104i | ||||
\(875\) | −16.3309 | − | 27.3640i | −0.552085 | − | 0.925074i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.83804 | − | 11.8438i | 0.230904 | − | 0.399938i | −0.727170 | − | 0.686457i | \(-0.759165\pi\) |
0.958074 | + | 0.286519i | \(0.0924982\pi\) | |||||||
\(878\) | −3.44615 | + | 4.40988i | −0.116302 | + | 0.148826i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −32.2370 | − | 20.1635i | −1.08671 | − | 0.679712i | ||||
\(881\) | 9.65113i | 0.325155i | 0.986696 | + | 0.162577i | \(0.0519808\pi\) | ||||
−0.986696 | + | 0.162577i | \(0.948019\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 17.0014i | − | 0.572143i | −0.958208 | − | 0.286071i | \(-0.907651\pi\) | ||
0.958208 | − | 0.286071i | \(-0.0923494\pi\) | |||||||
\(884\) | −2.27056 | − | 9.11523i | −0.0763673 | − | 0.306578i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 36.5032 | + | 28.5259i | 1.22635 | + | 0.958346i | ||||
\(887\) | 27.0861 | − | 46.9144i | 0.909461 | − | 1.57523i | 0.0946460 | − | 0.995511i | \(-0.469828\pi\) |
0.814815 | − | 0.579721i | \(-0.196839\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.68140 | + | 14.5466i | 0.291165 | + | 0.487876i | ||||
\(890\) | 4.39088 | + | 10.8712i | 0.147182 | + | 0.364404i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.5762 | + | 5.04406i | 0.588495 | + | 0.168888i | ||||
\(893\) | 9.51931 | + | 16.4879i | 0.318552 | + | 0.551748i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 14.6483 | 0.489638 | ||||||||
\(896\) | 27.0811 | + | 12.7521i | 0.904714 | + | 0.426019i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −26.6678 | − | 3.75089i | −0.889915 | − | 0.125169i | ||||
\(899\) | 11.9482 | + | 20.6949i | 0.398495 | + | 0.690214i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 9.29940 | + | 5.36901i | 0.309808 | + | 0.178868i | ||||
\(902\) | −16.7122 | − | 41.3772i | −0.556455 | − | 1.37771i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −24.8838 | − | 11.0888i | −0.827624 | − | 0.368808i | ||||
\(905\) | 9.41962 | − | 16.3153i | 0.313119 | − | 0.542338i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.59813 | + | 1.50003i | −0.0862694 | + | 0.0498077i | −0.542514 | − | 0.840047i | \(-0.682528\pi\) |
0.456245 | + | 0.889854i | \(0.349194\pi\) | |||||||
\(908\) | −0.202548 | − | 0.813136i | −0.00672180 | − | 0.0269849i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 5.72905 | − | 45.4938i | 0.189916 | − | 1.50810i | ||||
\(911\) | − | 17.0111i | − | 0.563604i | −0.959473 | − | 0.281802i | \(-0.909068\pi\) | ||
0.959473 | − | 0.281802i | \(-0.0909321\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.07344 | + | 4.08385i | −0.234097 | + | 0.135156i | ||||
\(914\) | 12.4669 | − | 15.9534i | 0.412370 | − | 0.527690i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −11.6094 | − | 12.0271i | −0.383585 | − | 0.397388i | ||||
\(917\) | 0.191857 | + | 13.2627i | 0.00633569 | + | 0.437973i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −38.9794 | − | 22.5048i | −1.28581 | − | 0.742363i | −0.307907 | − | 0.951417i | \(-0.599628\pi\) |
−0.977904 | + | 0.209053i | \(0.932962\pi\) | |||||||
\(920\) | −2.75709 | − | 26.3152i | −0.0908987 | − | 0.867585i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.90275 | + | 13.5280i | −0.0626639 | + | 0.445522i | ||||
\(923\) | 84.2428 | 2.77289 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.73765 | −0.287292 | ||||||||
\(926\) | −0.359568 | + | 2.55643i | −0.0118161 | + | 0.0840095i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 13.4232 | + | 11.2759i | 0.440638 | + | 0.370150i | ||||
\(929\) | 19.5971 | + | 11.3144i | 0.642960 | + | 0.371213i | 0.785754 | − | 0.618539i | \(-0.212275\pi\) |
−0.142794 | + | 0.989752i | \(0.545609\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −26.8619 | − | 43.5653i | −0.880364 | − | 1.42780i | ||||
\(932\) | 22.8601 | − | 22.0661i | 0.748808 | − | 0.722798i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 17.8704 | − | 22.8679i | 0.584737 | − | 0.748261i | ||||
\(935\) | 6.23482 | − | 3.59967i | 0.203900 | − | 0.117722i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.14595i | 0.168111i | 0.996461 | + | 0.0840554i | \(0.0267873\pi\) | ||||
−0.996461 | + | 0.0840554i | \(0.973213\pi\) | |||||||
\(938\) | −12.3872 | + | 16.3328i | −0.404455 | + | 0.533284i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 9.98568 | − | 2.48739i | 0.325697 | − | 0.0811296i | ||||
\(941\) | 41.9955 | − | 24.2461i | 1.36901 | − | 0.790400i | 0.378212 | − | 0.925719i | \(-0.376539\pi\) |
0.990802 | + | 0.135319i | \(0.0432058\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15.5264 | − | 26.8925i | 0.505609 | − | 0.875740i | ||||
\(944\) | −0.199494 | + | 5.64187i | −0.00649297 | + | 0.183627i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.29056 | + | 10.6229i | 0.139498 | + | 0.345379i | ||||
\(947\) | 9.63797 | + | 5.56448i | 0.313192 | + | 0.180821i | 0.648354 | − | 0.761339i | \(-0.275458\pi\) |
−0.335162 | + | 0.942161i | \(0.608791\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.0845 | + | 29.5912i | 0.554587 | + | 0.960572i | ||||
\(950\) | 11.2149 | + | 1.57741i | 0.363860 | + | 0.0511778i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −4.53759 | + | 3.39578i | −0.147064 | + | 0.110058i | ||||
\(953\) | −21.0412 | −0.681590 | −0.340795 | − | 0.940138i | \(-0.610696\pi\) | ||||
−0.340795 | + | 0.940138i | \(0.610696\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −10.8534 | − | 18.7986i | −0.351207 | − | 0.608308i | ||||
\(956\) | 7.86431 | − | 27.4034i | 0.254350 | − | 0.886291i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.45073 | − | 20.9229i | −0.273031 | − | 0.675988i | ||||
\(959\) | 16.9342 | + | 9.45304i | 0.546833 | + | 0.305255i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −14.2292 | + | 24.6457i | −0.459006 | + | 0.795022i | ||||
\(962\) | −55.1303 | − | 43.0822i | −1.77747 | − | 1.38903i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 40.0577 | − | 9.97819i | 1.29017 | − | 0.321376i | ||||
\(965\) | 8.06414i | 0.259594i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.38736i | 0.269719i | 0.990865 | + | 0.134860i | \(0.0430584\pi\) | ||||
−0.990865 | + | 0.134860i | \(0.956942\pi\) | |||||||
\(968\) | −27.7898 | + | 20.1765i | −0.893197 | + | 0.648497i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.03080 | − | 5.15803i | 0.129421 | − | 0.165614i | ||||
\(971\) | −14.7470 | + | 25.5426i | −0.473255 | + | 0.819701i | −0.999531 | − | 0.0306124i | \(-0.990254\pi\) |
0.526277 | + | 0.850313i | \(0.323588\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.6845 | − | 12.3445i | 0.663114 | − | 0.395747i | ||||
\(974\) | −5.89928 | + | 2.38271i | −0.189025 | + | 0.0763470i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.0289 | − | 20.7642i | −0.353025 | − | 0.664647i | ||||
\(977\) | −29.1599 | − | 50.5064i | −0.932908 | − | 1.61584i | −0.778322 | − | 0.627865i | \(-0.783929\pi\) |
−0.154586 | − | 0.987979i | \(-0.549404\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 20.1828 | 0.645044 | ||||||||
\(980\) | −26.6396 | + | 7.46047i | −0.850970 | + | 0.238316i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −2.69005 | + | 19.1255i | −0.0858428 | + | 0.610318i | ||||
\(983\) | −22.9661 | − | 39.7784i | −0.732505 | − | 1.26874i | −0.955810 | − | 0.293987i | \(-0.905018\pi\) |
0.223305 | − | 0.974749i | \(-0.428315\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −29.0626 | − | 16.7793i | −0.926011 | − | 0.534633i | ||||
\(986\) | −3.07771 | + | 1.24308i | −0.0980141 | + | 0.0395878i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 62.9830 | + | 65.2494i | 2.00376 | + | 2.07586i | ||||
\(989\) | −3.98612 | + | 6.90417i | −0.126751 | + | 0.219540i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.9329 | − | 9.19889i | 0.506127 | − | 0.292212i | −0.225113 | − | 0.974333i | \(-0.572275\pi\) |
0.731240 | + | 0.682120i | \(0.238942\pi\) | |||||||
\(992\) | −7.59799 | + | 42.9527i | −0.241236 | + | 1.36375i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −19.7143 | − | 46.8470i | −0.625301 | − | 1.48590i | ||||
\(995\) | − | 24.6658i | − | 0.781957i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.3664 | + | 10.0265i | −0.549998 | + | 0.317542i | −0.749121 | − | 0.662433i | \(-0.769524\pi\) |
0.199123 | + | 0.979975i | \(0.436191\pi\) | |||||||
\(998\) | 28.5161 | + | 22.2842i | 0.902660 | + | 0.705395i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 756.2.bf.b.271.1 | ✓ | 32 | |
3.2 | odd | 2 | 756.2.bf.c.271.16 | yes | 32 | ||
4.3 | odd | 2 | 756.2.bf.c.271.11 | yes | 32 | ||
7.3 | odd | 6 | 756.2.bf.c.703.11 | yes | 32 | ||
12.11 | even | 2 | inner | 756.2.bf.b.271.6 | yes | 32 | |
21.17 | even | 6 | inner | 756.2.bf.b.703.6 | yes | 32 | |
28.3 | even | 6 | inner | 756.2.bf.b.703.1 | yes | 32 | |
84.59 | odd | 6 | 756.2.bf.c.703.16 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bf.b.271.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
756.2.bf.b.271.6 | yes | 32 | 12.11 | even | 2 | inner | |
756.2.bf.b.703.1 | yes | 32 | 28.3 | even | 6 | inner | |
756.2.bf.b.703.6 | yes | 32 | 21.17 | even | 6 | inner | |
756.2.bf.c.271.11 | yes | 32 | 4.3 | odd | 2 | ||
756.2.bf.c.271.16 | yes | 32 | 3.2 | odd | 2 | ||
756.2.bf.c.703.11 | yes | 32 | 7.3 | odd | 6 | ||
756.2.bf.c.703.16 | yes | 32 | 84.59 | odd | 6 |