Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 546.19 |
Dual form | 546.2.by.b.115.1 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −4.03777 | + | 1.08192i | −1.80575 | + | 0.483848i | −0.994851 | − | 0.101343i | \(-0.967686\pi\) |
−0.810895 | + | 0.585192i | \(0.801019\pi\) | |||||||
\(6\) | −0.258819 | + | 0.965926i | −0.105662 | + | 0.394338i | ||||
\(7\) | −0.0127227 | + | 2.64572i | −0.00480875 | + | 0.999988i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 4.18021 | 1.32190 | ||||||||
\(11\) | −0.447823 | − | 0.447823i | −0.135024 | − | 0.135024i | 0.636365 | − | 0.771388i | \(-0.280437\pi\) |
−0.771388 | + | 0.636365i | \(0.780437\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | 1.96448 | − | 3.02338i | 0.544848 | − | 0.838535i | ||||
\(14\) | 0.697052 | − | 2.55228i | 0.186295 | − | 0.682125i | ||||
\(15\) | 1.08192 | + | 4.03777i | 0.279350 | + | 1.04255i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 2.95862 | − | 5.12448i | 0.717570 | − | 1.24287i | −0.244389 | − | 0.969677i | \(-0.578587\pi\) |
0.961960 | − | 0.273191i | \(-0.0880792\pi\) | |||||||
\(18\) | 0.965926 | + | 0.258819i | 0.227671 | + | 0.0610042i | ||||
\(19\) | 1.74728 | + | 1.74728i | 0.400854 | + | 0.400854i | 0.878534 | − | 0.477680i | \(-0.158522\pi\) |
−0.477680 | + | 0.878534i | \(0.658522\pi\) | |||||||
\(20\) | −4.03777 | − | 1.08192i | −0.902873 | − | 0.241924i | ||||
\(21\) | 2.64572 | + | 0.0127227i | 0.577344 | + | 0.00277633i | ||||
\(22\) | 0.316659 | + | 0.548469i | 0.0675119 | + | 0.116934i | ||||
\(23\) | 4.45906 | − | 2.57444i | 0.929779 | − | 0.536808i | 0.0430374 | − | 0.999073i | \(-0.486297\pi\) |
0.886742 | + | 0.462265i | \(0.152963\pi\) | |||||||
\(24\) | −0.707107 | + | 0.707107i | −0.144338 | + | 0.144338i | ||||
\(25\) | 10.8029 | − | 6.23707i | 2.16059 | − | 1.24741i | ||||
\(26\) | −2.68005 | + | 2.41192i | −0.525600 | + | 0.473016i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −1.33388 | + | 2.28490i | −0.252079 | + | 0.431806i | ||||
\(29\) | −0.692966 | + | 1.20025i | −0.128681 | + | 0.222881i | −0.923166 | − | 0.384402i | \(-0.874408\pi\) |
0.794485 | + | 0.607284i | \(0.207741\pi\) | |||||||
\(30\) | − | 4.18021i | − | 0.763198i | ||||||
\(31\) | 1.43576 | − | 5.35833i | 0.257870 | − | 0.962384i | −0.708601 | − | 0.705609i | \(-0.750673\pi\) |
0.966471 | − | 0.256775i | \(-0.0826599\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | −0.447823 | + | 0.447823i | −0.0779560 | + | 0.0779560i | ||||
\(34\) | −4.18412 | + | 4.18412i | −0.717570 | + | 0.717570i | ||||
\(35\) | −2.81108 | − | 10.6966i | −0.475159 | − | 1.80805i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | −0.583233 | + | 2.17666i | −0.0958830 | + | 0.357840i | −0.997152 | − | 0.0754201i | \(-0.975970\pi\) |
0.901269 | + | 0.433260i | \(0.142637\pi\) | |||||||
\(38\) | −1.23551 | − | 2.13997i | −0.200427 | − | 0.347150i | ||||
\(39\) | −3.02338 | − | 1.96448i | −0.484128 | − | 0.314568i | ||||
\(40\) | 3.62017 | + | 2.09010i | 0.572399 | + | 0.330475i | ||||
\(41\) | 1.22233 | − | 0.327523i | 0.190896 | − | 0.0511505i | −0.162104 | − | 0.986774i | \(-0.551828\pi\) |
0.353000 | + | 0.935623i | \(0.385161\pi\) | |||||||
\(42\) | −2.55228 | − | 0.697052i | −0.393825 | − | 0.107557i | ||||
\(43\) | −2.40764 | + | 1.39005i | −0.367162 | + | 0.211981i | −0.672218 | − | 0.740353i | \(-0.734658\pi\) |
0.305056 | + | 0.952334i | \(0.401325\pi\) | |||||||
\(44\) | −0.163915 | − | 0.611738i | −0.0247111 | − | 0.0922230i | ||||
\(45\) | 4.03777 | − | 1.08192i | 0.601915 | − | 0.161283i | ||||
\(46\) | −4.97344 | + | 1.33263i | −0.733294 | + | 0.196485i | ||||
\(47\) | 0.859880 | + | 3.20911i | 0.125426 | + | 0.468097i | 0.999855 | − | 0.0170575i | \(-0.00542984\pi\) |
−0.874428 | + | 0.485155i | \(0.838763\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | −6.99968 | − | 0.0673217i | −0.999954 | − | 0.00961738i | ||||
\(50\) | −12.0491 | + | 3.22855i | −1.70400 | + | 0.456585i | ||||
\(51\) | −5.12448 | − | 2.95862i | −0.717570 | − | 0.414289i | ||||
\(52\) | 3.21298 | − | 1.63609i | 0.445560 | − | 0.226884i | ||||
\(53\) | 5.96016 | + | 10.3233i | 0.818690 | + | 1.41801i | 0.906647 | + | 0.421889i | \(0.138633\pi\) |
−0.0879571 | + | 0.996124i | \(0.528034\pi\) | |||||||
\(54\) | 0.258819 | − | 0.965926i | 0.0352208 | − | 0.131446i | ||||
\(55\) | 2.29272 | + | 1.32370i | 0.309150 | + | 0.178488i | ||||
\(56\) | 1.87980 | − | 1.86181i | 0.251199 | − | 0.248795i | ||||
\(57\) | 1.74728 | − | 1.74728i | 0.231433 | − | 0.231433i | ||||
\(58\) | 0.980002 | − | 0.980002i | 0.128681 | − | 0.128681i | ||||
\(59\) | −3.12406 | − | 11.6591i | −0.406718 | − | 1.51789i | −0.800866 | − | 0.598844i | \(-0.795627\pi\) |
0.394148 | − | 0.919047i | \(-0.371040\pi\) | |||||||
\(60\) | −1.08192 | + | 4.03777i | −0.139675 | + | 0.521274i | ||||
\(61\) | − | 12.3857i | − | 1.58583i | −0.609331 | − | 0.792916i | \(-0.708562\pi\) | ||
0.609331 | − | 0.792916i | \(-0.291438\pi\) | |||||||
\(62\) | −2.77367 | + | 4.80415i | −0.352257 | + | 0.610127i | ||||
\(63\) | 0.0127227 | − | 2.64572i | 0.00160292 | − | 0.333329i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −4.66106 | + | 14.3331i | −0.578133 | + | 1.77781i | ||||
\(66\) | 0.548469 | − | 0.316659i | 0.0675119 | − | 0.0389780i | ||||
\(67\) | 4.49136 | − | 4.49136i | 0.548707 | − | 0.548707i | −0.377359 | − | 0.926067i | \(-0.623168\pi\) |
0.926067 | + | 0.377359i | \(0.123168\pi\) | |||||||
\(68\) | 5.12448 | − | 2.95862i | 0.621434 | − | 0.358785i | ||||
\(69\) | −2.57444 | − | 4.45906i | −0.309926 | − | 0.536808i | ||||
\(70\) | −0.0531837 | + | 11.0597i | −0.00635667 | + | 1.32188i | ||||
\(71\) | 14.8816 | + | 3.98751i | 1.76612 | + | 0.473231i | 0.987944 | − | 0.154813i | \(-0.0494776\pi\) |
0.778178 | + | 0.628044i | \(0.216144\pi\) | |||||||
\(72\) | 0.707107 | + | 0.707107i | 0.0833333 | + | 0.0833333i | ||||
\(73\) | 8.01215 | + | 2.14685i | 0.937752 | + | 0.251270i | 0.695157 | − | 0.718858i | \(-0.255335\pi\) |
0.242595 | + | 0.970128i | \(0.422002\pi\) | |||||||
\(74\) | 1.12672 | − | 1.95154i | 0.130979 | − | 0.226862i | ||||
\(75\) | −6.23707 | − | 10.8029i | −0.720195 | − | 1.24741i | ||||
\(76\) | 0.639550 | + | 2.38683i | 0.0733614 | + | 0.273788i | ||||
\(77\) | 1.19051 | − | 1.17912i | 0.135672 | − | 0.134373i | ||||
\(78\) | 2.41192 | + | 2.68005i | 0.273096 | + | 0.303456i | ||||
\(79\) | −0.213699 | + | 0.370137i | −0.0240430 | + | 0.0416437i | −0.877797 | − | 0.479034i | \(-0.840987\pi\) |
0.853754 | + | 0.520677i | \(0.174321\pi\) | |||||||
\(80\) | −2.95585 | − | 2.95585i | −0.330475 | − | 0.330475i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −1.26545 | −0.139746 | ||||||||
\(83\) | −5.72801 | − | 5.72801i | −0.628731 | − | 0.628731i | 0.319018 | − | 0.947749i | \(-0.396647\pi\) |
−0.947749 | + | 0.319018i | \(0.896647\pi\) | |||||||
\(84\) | 2.28490 | + | 1.33388i | 0.249303 | + | 0.145538i | ||||
\(85\) | −6.40196 | + | 23.8925i | −0.694390 | + | 2.59150i | ||||
\(86\) | 2.68538 | − | 0.719544i | 0.289571 | − | 0.0775904i | ||||
\(87\) | 1.20025 | + | 0.692966i | 0.128681 | + | 0.0742937i | ||||
\(88\) | 0.633318i | 0.0675119i | ||||||||
\(89\) | −1.62138 | − | 0.434447i | −0.171866 | − | 0.0460513i | 0.171860 | − | 0.985121i | \(-0.445022\pi\) |
−0.343726 | + | 0.939070i | \(0.611689\pi\) | |||||||
\(90\) | −4.18021 | −0.440633 | ||||||||
\(91\) | 7.97403 | + | 5.23592i | 0.835905 | + | 0.548874i | ||||
\(92\) | 5.14888 | 0.536808 | ||||||||
\(93\) | −5.35833 | − | 1.43576i | −0.555633 | − | 0.148881i | ||||
\(94\) | − | 3.32232i | − | 0.342671i | ||||||
\(95\) | −8.94554 | − | 5.16471i | −0.917793 | − | 0.529888i | ||||
\(96\) | −0.965926 | + | 0.258819i | −0.0985844 | + | 0.0264156i | ||||
\(97\) | 1.95617 | − | 7.30052i | 0.198619 | − | 0.741256i | −0.792681 | − | 0.609636i | \(-0.791316\pi\) |
0.991300 | − | 0.131620i | \(-0.0420178\pi\) | |||||||
\(98\) | 6.74374 | + | 1.87668i | 0.681221 | + | 0.189573i | ||||
\(99\) | 0.447823 | + | 0.447823i | 0.0450079 | + | 0.0450079i | ||||
\(100\) | 12.4741 | 1.24741 | ||||||||
\(101\) | 4.20030 | 0.417946 | 0.208973 | − | 0.977921i | \(-0.432988\pi\) | ||||
0.208973 | + | 0.977921i | \(0.432988\pi\) | |||||||
\(102\) | 4.18412 | + | 4.18412i | 0.414289 | + | 0.414289i | ||||
\(103\) | 0.712002 | − | 1.23322i | 0.0701556 | − | 0.121513i | −0.828814 | − | 0.559525i | \(-0.810984\pi\) |
0.898969 | + | 0.438011i | \(0.144317\pi\) | |||||||
\(104\) | −3.52695 | + | 0.748759i | −0.345846 | + | 0.0734219i | ||||
\(105\) | −10.6966 | + | 2.81108i | −1.04388 | + | 0.274333i | ||||
\(106\) | −3.08520 | − | 11.5141i | −0.299661 | − | 1.11835i | ||||
\(107\) | 5.47839 | + | 9.48886i | 0.529616 | + | 0.917322i | 0.999403 | + | 0.0345425i | \(0.0109974\pi\) |
−0.469787 | + | 0.882780i | \(0.655669\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | 1.12234 | + | 0.300729i | 0.107500 | + | 0.0288046i | 0.312168 | − | 0.950027i | \(-0.398945\pi\) |
−0.204668 | + | 0.978831i | \(0.565611\pi\) | |||||||
\(110\) | −1.87200 | − | 1.87200i | −0.178488 | − | 0.178488i | ||||
\(111\) | 2.17666 | + | 0.583233i | 0.206599 | + | 0.0553581i | ||||
\(112\) | −2.29762 | + | 1.31184i | −0.217105 | + | 0.123957i | ||||
\(113\) | −8.19504 | − | 14.1942i | −0.770925 | − | 1.33528i | −0.937057 | − | 0.349177i | \(-0.886461\pi\) |
0.166132 | − | 0.986104i | \(-0.446872\pi\) | |||||||
\(114\) | −2.13997 | + | 1.23551i | −0.200427 | + | 0.115717i | ||||
\(115\) | −15.2193 | + | 15.2193i | −1.41921 | + | 1.41921i | ||||
\(116\) | −1.20025 | + | 0.692966i | −0.111441 | + | 0.0643403i | ||||
\(117\) | −1.96448 | + | 3.02338i | −0.181616 | + | 0.279512i | ||||
\(118\) | 12.0704i | 1.11117i | ||||||||
\(119\) | 13.5203 | + | 7.89288i | 1.23940 | + | 0.723539i | ||||
\(120\) | 2.09010 | − | 3.62017i | 0.190800 | − | 0.330475i | ||||
\(121\) | − | 10.5989i | − | 0.963537i | ||||||
\(122\) | −3.20567 | + | 11.9637i | −0.290227 | + | 1.08314i | ||||
\(123\) | −0.327523 | − | 1.22233i | −0.0295318 | − | 0.110214i | ||||
\(124\) | 3.92257 | − | 3.92257i | 0.352257 | − | 0.352257i | ||||
\(125\) | −22.0925 | + | 22.0925i | −1.97601 | + | 1.97601i | ||||
\(126\) | −0.697052 | + | 2.55228i | −0.0620983 | + | 0.227375i | ||||
\(127\) | 15.9441 | + | 9.20531i | 1.41481 | + | 0.816839i | 0.995836 | − | 0.0911603i | \(-0.0290576\pi\) |
0.418971 | + | 0.908000i | \(0.362391\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 1.39005 | + | 2.40764i | 0.122387 | + | 0.211981i | ||||
\(130\) | 8.21192 | − | 12.6384i | 0.720233 | − | 1.10846i | ||||
\(131\) | 9.34579 | + | 5.39580i | 0.816546 | + | 0.471433i | 0.849224 | − | 0.528033i | \(-0.177070\pi\) |
−0.0326781 | + | 0.999466i | \(0.510404\pi\) | |||||||
\(132\) | −0.611738 | + | 0.163915i | −0.0532450 | + | 0.0142669i | ||||
\(133\) | −4.64505 | + | 4.60059i | −0.402777 | + | 0.398922i | ||||
\(134\) | −5.50077 | + | 3.17587i | −0.475195 | + | 0.274354i | ||||
\(135\) | −1.08192 | − | 4.03777i | −0.0931166 | − | 0.347516i | ||||
\(136\) | −5.71561 | + | 1.53149i | −0.490110 | + | 0.131325i | ||||
\(137\) | −14.3833 | + | 3.85400i | −1.22885 | + | 0.329269i | −0.814131 | − | 0.580681i | \(-0.802787\pi\) |
−0.414718 | + | 0.909950i | \(0.636120\pi\) | |||||||
\(138\) | 1.33263 | + | 4.97344i | 0.113441 | + | 0.423367i | ||||
\(139\) | −8.18822 | + | 4.72747i | −0.694516 | + | 0.400979i | −0.805302 | − | 0.592865i | \(-0.797997\pi\) |
0.110786 | + | 0.993844i | \(0.464663\pi\) | |||||||
\(140\) | 2.91382 | − | 10.6691i | 0.246263 | − | 0.901699i | ||||
\(141\) | 3.20911 | − | 0.859880i | 0.270256 | − | 0.0724149i | ||||
\(142\) | −13.3425 | − | 7.70329i | −1.11968 | − | 0.646445i | ||||
\(143\) | −2.23368 | + | 0.474203i | −0.186790 | + | 0.0396548i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 1.49946 | − | 5.59608i | 0.124524 | − | 0.464729i | ||||
\(146\) | −7.18350 | − | 4.14740i | −0.594511 | − | 0.343241i | ||||
\(147\) | −0.0673217 | + | 6.99968i | −0.00555260 | + | 0.577324i | ||||
\(148\) | −1.59342 | + | 1.59342i | −0.130979 | + | 0.130979i | ||||
\(149\) | −9.91933 | + | 9.91933i | −0.812623 | + | 0.812623i | −0.985026 | − | 0.172403i | \(-0.944847\pi\) |
0.172403 | + | 0.985026i | \(0.444847\pi\) | |||||||
\(150\) | 3.22855 | + | 12.0491i | 0.263610 | + | 0.983805i | ||||
\(151\) | 1.90212 | − | 7.09882i | 0.154793 | − | 0.577694i | −0.844330 | − | 0.535823i | \(-0.820001\pi\) |
0.999123 | − | 0.0418710i | \(-0.0133319\pi\) | |||||||
\(152\) | − | 2.47103i | − | 0.200427i | ||||||
\(153\) | −2.95862 | + | 5.12448i | −0.239190 | + | 0.414289i | ||||
\(154\) | −1.45513 | + | 0.830813i | −0.117257 | + | 0.0669488i | ||||
\(155\) | 23.1891i | 1.86259i | ||||||||
\(156\) | −1.63609 | − | 3.21298i | −0.130992 | − | 0.257244i | ||||
\(157\) | −18.5419 | + | 10.7052i | −1.47980 | + | 0.854365i | −0.999738 | − | 0.0228679i | \(-0.992720\pi\) |
−0.480065 | + | 0.877233i | \(0.659387\pi\) | |||||||
\(158\) | 0.302216 | − | 0.302216i | 0.0240430 | − | 0.0240430i | ||||
\(159\) | 10.3233 | − | 5.96016i | 0.818690 | − | 0.472671i | ||||
\(160\) | 2.09010 | + | 3.62017i | 0.165237 | + | 0.286199i | ||||
\(161\) | 6.75452 | + | 11.8302i | 0.532331 | + | 0.932350i | ||||
\(162\) | −0.965926 | − | 0.258819i | −0.0758903 | − | 0.0203347i | ||||
\(163\) | −0.157580 | − | 0.157580i | −0.0123426 | − | 0.0123426i | 0.700909 | − | 0.713251i | \(-0.252778\pi\) |
−0.713251 | + | 0.700909i | \(0.752778\pi\) | |||||||
\(164\) | 1.22233 | + | 0.327523i | 0.0954481 | + | 0.0255753i | ||||
\(165\) | 1.32370 | − | 2.29272i | 0.103050 | − | 0.178488i | ||||
\(166\) | 4.05032 | + | 7.01535i | 0.314366 | + | 0.544497i | ||||
\(167\) | −4.93109 | − | 18.4031i | −0.381579 | − | 1.42407i | −0.843489 | − | 0.537147i | \(-0.819502\pi\) |
0.461909 | − | 0.886927i | \(-0.347165\pi\) | |||||||
\(168\) | −1.86181 | − | 1.87980i | −0.143642 | − | 0.145030i | ||||
\(169\) | −5.28167 | − | 11.8787i | −0.406282 | − | 0.913748i | ||||
\(170\) | 12.3676 | − | 21.4214i | 0.948555 | − | 1.64295i | ||||
\(171\) | −1.74728 | − | 1.74728i | −0.133618 | − | 0.133618i | ||||
\(172\) | −2.78010 | −0.211981 | ||||||||
\(173\) | 15.2038 | 1.15592 | 0.577962 | − | 0.816064i | \(-0.303848\pi\) | ||||
0.577962 | + | 0.816064i | \(0.303848\pi\) | |||||||
\(174\) | −0.980002 | − | 0.980002i | −0.0742937 | − | 0.0742937i | ||||
\(175\) | 16.3641 | + | 28.6609i | 1.23701 | + | 2.16656i | ||||
\(176\) | 0.163915 | − | 0.611738i | 0.0123555 | − | 0.0461115i | ||||
\(177\) | −11.6591 | + | 3.12406i | −0.876354 | + | 0.234818i | ||||
\(178\) | 1.45369 | + | 0.839287i | 0.108959 | + | 0.0629072i | ||||
\(179\) | − | 20.7926i | − | 1.55411i | −0.629434 | − | 0.777054i | \(-0.716713\pi\) | ||
0.629434 | − | 0.777054i | \(-0.283287\pi\) | |||||||
\(180\) | 4.03777 | + | 1.08192i | 0.300958 | + | 0.0806414i | ||||
\(181\) | −19.5707 | −1.45468 | −0.727340 | − | 0.686278i | \(-0.759243\pi\) | ||||
−0.727340 | + | 0.686278i | \(0.759243\pi\) | |||||||
\(182\) | −6.34716 | − | 7.12134i | −0.470483 | − | 0.527869i | ||||
\(183\) | −12.3857 | −0.915580 | ||||||||
\(184\) | −4.97344 | − | 1.33263i | −0.366647 | − | 0.0982427i | ||||
\(185\) | − | 9.41985i | − | 0.692561i | ||||||
\(186\) | 4.80415 | + | 2.77367i | 0.352257 | + | 0.203376i | ||||
\(187\) | −3.61980 | + | 0.969922i | −0.264706 | + | 0.0709278i | ||||
\(188\) | −0.859880 | + | 3.20911i | −0.0627132 | + | 0.234049i | ||||
\(189\) | −2.64572 | − | 0.0127227i | −0.192448 | − | 0.000925443i | ||||
\(190\) | 7.30400 | + | 7.30400i | 0.529888 | + | 0.529888i | ||||
\(191\) | 5.27268 | 0.381518 | 0.190759 | − | 0.981637i | \(-0.438905\pi\) | ||||
0.190759 | + | 0.981637i | \(0.438905\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | 9.66089 | + | 9.66089i | 0.695406 | + | 0.695406i | 0.963416 | − | 0.268010i | \(-0.0863660\pi\) |
−0.268010 | + | 0.963416i | \(0.586366\pi\) | |||||||
\(194\) | −3.77903 | + | 6.54547i | −0.271319 | + | 0.469937i | ||||
\(195\) | 14.3331 | + | 4.66106i | 1.02642 | + | 0.333785i | ||||
\(196\) | −6.02824 | − | 3.55814i | −0.430588 | − | 0.254153i | ||||
\(197\) | 3.27692 | + | 12.2296i | 0.233471 | + | 0.871325i | 0.978832 | + | 0.204664i | \(0.0656102\pi\) |
−0.745362 | + | 0.666660i | \(0.767723\pi\) | |||||||
\(198\) | −0.316659 | − | 0.548469i | −0.0225040 | − | 0.0389780i | ||||
\(199\) | −2.99838 | + | 5.19335i | −0.212549 | + | 0.368147i | −0.952512 | − | 0.304502i | \(-0.901510\pi\) |
0.739962 | + | 0.672648i | \(0.234843\pi\) | |||||||
\(200\) | −12.0491 | − | 3.22855i | −0.852000 | − | 0.228293i | ||||
\(201\) | −4.49136 | − | 4.49136i | −0.316796 | − | 0.316796i | ||||
\(202\) | −4.05718 | − | 1.08712i | −0.285462 | − | 0.0764893i | ||||
\(203\) | −3.16672 | − | 1.84866i | −0.222260 | − | 0.129751i | ||||
\(204\) | −2.95862 | − | 5.12448i | −0.207145 | − | 0.358785i | ||||
\(205\) | −4.58115 | + | 2.64493i | −0.319961 | + | 0.184730i | ||||
\(206\) | −1.00692 | + | 1.00692i | −0.0701556 | + | 0.0701556i | ||||
\(207\) | −4.45906 | + | 2.57444i | −0.309926 | + | 0.178936i | ||||
\(208\) | 3.60056 | + | 0.189595i | 0.249654 | + | 0.0131461i | ||||
\(209\) | − | 1.56495i | − | 0.108250i | ||||||
\(210\) | 11.0597 | + | 0.0531837i | 0.763189 | + | 0.00367003i | ||||
\(211\) | 10.5594 | − | 18.2895i | 0.726941 | − | 1.25910i | −0.231230 | − | 0.972899i | \(-0.574275\pi\) |
0.958170 | − | 0.286199i | \(-0.0923918\pi\) | |||||||
\(212\) | 11.9203i | 0.818690i | ||||||||
\(213\) | 3.98751 | − | 14.8816i | 0.273220 | − | 1.01967i | ||||
\(214\) | −2.83583 | − | 10.5834i | −0.193853 | − | 0.723469i | ||||
\(215\) | 8.21758 | − | 8.21758i | 0.560435 | − | 0.560435i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | 14.1584 | + | 3.86679i | 0.961133 | + | 0.262495i | ||||
\(218\) | −1.00626 | − | 0.580963i | −0.0681524 | − | 0.0393478i | ||||
\(219\) | 2.14685 | − | 8.01215i | 0.145071 | − | 0.541411i | ||||
\(220\) | 1.32370 | + | 2.29272i | 0.0892439 | + | 0.154575i | ||||
\(221\) | −9.68112 | − | 19.0119i | −0.651222 | − | 1.27888i | ||||
\(222\) | −1.95154 | − | 1.12672i | −0.130979 | − | 0.0756205i | ||||
\(223\) | 18.8580 | − | 5.05298i | 1.26282 | − | 0.338373i | 0.435547 | − | 0.900166i | \(-0.356555\pi\) |
0.827277 | + | 0.561794i | \(0.189888\pi\) | |||||||
\(224\) | 2.55886 | − | 0.672474i | 0.170971 | − | 0.0449315i | ||||
\(225\) | −10.8029 | + | 6.23707i | −0.720195 | + | 0.415805i | ||||
\(226\) | 4.24207 | + | 15.8316i | 0.282178 | + | 1.05310i | ||||
\(227\) | 19.5147 | − | 5.22895i | 1.29524 | − | 0.347057i | 0.455589 | − | 0.890190i | \(-0.349429\pi\) |
0.839647 | + | 0.543133i | \(0.182762\pi\) | |||||||
\(228\) | 2.38683 | − | 0.639550i | 0.158072 | − | 0.0423552i | ||||
\(229\) | −0.488972 | − | 1.82487i | −0.0323122 | − | 0.120591i | 0.947886 | − | 0.318610i | \(-0.103216\pi\) |
−0.980198 | + | 0.198019i | \(0.936549\pi\) | |||||||
\(230\) | 18.6398 | − | 10.7617i | 1.22907 | − | 0.709606i | ||||
\(231\) | −1.17912 | − | 1.19051i | −0.0775803 | − | 0.0783300i | ||||
\(232\) | 1.33871 | − | 0.358706i | 0.0878904 | − | 0.0235502i | ||||
\(233\) | −0.334379 | − | 0.193054i | −0.0219059 | − | 0.0126474i | 0.489007 | − | 0.872280i | \(-0.337359\pi\) |
−0.510913 | + | 0.859632i | \(0.670693\pi\) | |||||||
\(234\) | 2.68005 | − | 2.41192i | 0.175200 | − | 0.157672i | ||||
\(235\) | −6.94400 | − | 12.0274i | −0.452976 | − | 0.784578i | ||||
\(236\) | 3.12406 | − | 11.6591i | 0.203359 | − | 0.758945i | ||||
\(237\) | 0.370137 | + | 0.213699i | 0.0240430 | + | 0.0138812i | ||||
\(238\) | −11.0168 | − | 11.1232i | −0.714112 | − | 0.721013i | ||||
\(239\) | 4.60738 | − | 4.60738i | 0.298027 | − | 0.298027i | −0.542214 | − | 0.840241i | \(-0.682414\pi\) |
0.840241 | + | 0.542214i | \(0.182414\pi\) | |||||||
\(240\) | −2.95585 | + | 2.95585i | −0.190800 | + | 0.190800i | ||||
\(241\) | −3.87262 | − | 14.4528i | −0.249457 | − | 0.930987i | −0.971091 | − | 0.238712i | \(-0.923275\pi\) |
0.721633 | − | 0.692276i | \(-0.243392\pi\) | |||||||
\(242\) | −2.74320 | + | 10.2378i | −0.176340 | + | 0.658108i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 6.19287 | − | 10.7264i | 0.396458 | − | 0.686685i | ||||
\(245\) | 28.3359 | − | 7.30124i | 1.81032 | − | 0.466459i | ||||
\(246\) | 1.26545i | 0.0806823i | ||||||||
\(247\) | 8.71519 | − | 1.85021i | 0.554534 | − | 0.117726i | ||||
\(248\) | −4.80415 | + | 2.77367i | −0.305064 | + | 0.176129i | ||||
\(249\) | −5.72801 | + | 5.72801i | −0.362998 | + | 0.362998i | ||||
\(250\) | 27.0577 | − | 15.6217i | 1.71128 | − | 0.988006i | ||||
\(251\) | −7.83244 | − | 13.5662i | −0.494379 | − | 0.856290i | 0.505600 | − | 0.862768i | \(-0.331271\pi\) |
−0.999979 | + | 0.00647817i | \(0.997938\pi\) | |||||||
\(252\) | 1.33388 | − | 2.28490i | 0.0840265 | − | 0.143935i | ||||
\(253\) | −3.14977 | − | 0.843978i | −0.198024 | − | 0.0530604i | ||||
\(254\) | −13.0183 | − | 13.0183i | −0.816839 | − | 0.816839i | ||||
\(255\) | 23.8925 | + | 6.40196i | 1.49620 | + | 0.400907i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 14.3488 | + | 24.8529i | 0.895055 | + | 1.55028i | 0.833737 | + | 0.552162i | \(0.186197\pi\) |
0.0613182 | + | 0.998118i | \(0.480470\pi\) | |||||||
\(258\) | −0.719544 | − | 2.68538i | −0.0447969 | − | 0.167184i | ||||
\(259\) | −5.75140 | − | 1.57077i | −0.357375 | − | 0.0976026i | ||||
\(260\) | −11.2032 | + | 10.0823i | −0.694790 | + | 0.625279i | ||||
\(261\) | 0.692966 | − | 1.20025i | 0.0428935 | − | 0.0742937i | ||||
\(262\) | −7.63081 | − | 7.63081i | −0.471433 | − | 0.471433i | ||||
\(263\) | 12.0503 | 0.743056 | 0.371528 | − | 0.928422i | \(-0.378834\pi\) | ||||
0.371528 | + | 0.928422i | \(0.378834\pi\) | |||||||
\(264\) | 0.633318 | 0.0389780 | ||||||||
\(265\) | −35.2347 | − | 35.2347i | −2.16445 | − | 2.16445i | ||||
\(266\) | 5.67749 | − | 3.24160i | 0.348110 | − | 0.198755i | ||||
\(267\) | −0.434447 | + | 1.62138i | −0.0265877 | + | 0.0992268i | ||||
\(268\) | 6.13532 | − | 1.64395i | 0.374774 | − | 0.100420i | ||||
\(269\) | 1.58759 | + | 0.916594i | 0.0967969 | + | 0.0558857i | 0.547617 | − | 0.836729i | \(-0.315535\pi\) |
−0.450820 | + | 0.892615i | \(0.648868\pi\) | |||||||
\(270\) | 4.18021i | 0.254399i | ||||||||
\(271\) | −14.4803 | − | 3.87999i | −0.879616 | − | 0.235692i | −0.209375 | − | 0.977835i | \(-0.567143\pi\) |
−0.670242 | + | 0.742143i | \(0.733810\pi\) | |||||||
\(272\) | 5.91724 | 0.358785 | ||||||||
\(273\) | 5.23592 | − | 7.97403i | 0.316892 | − | 0.482610i | ||||
\(274\) | 14.8907 | 0.899580 | ||||||||
\(275\) | −7.63091 | − | 2.04470i | −0.460161 | − | 0.123300i | ||||
\(276\) | − | 5.14888i | − | 0.309926i | ||||||
\(277\) | −5.04887 | − | 2.91497i | −0.303357 | − | 0.175143i | 0.340593 | − | 0.940211i | \(-0.389372\pi\) |
−0.643950 | + | 0.765068i | \(0.722706\pi\) | |||||||
\(278\) | 9.13277 | − | 2.44712i | 0.547747 | − | 0.146768i | ||||
\(279\) | −1.43576 | + | 5.35833i | −0.0859567 | + | 0.320795i | ||||
\(280\) | −5.57589 | + | 9.55136i | −0.333223 | + | 0.570803i | ||||
\(281\) | −17.7789 | − | 17.7789i | −1.06060 | − | 1.06060i | −0.998041 | − | 0.0625584i | \(-0.980074\pi\) |
−0.0625584 | − | 0.998041i | \(-0.519926\pi\) | |||||||
\(282\) | −3.32232 | −0.197841 | ||||||||
\(283\) | −13.7870 | −0.819550 | −0.409775 | − | 0.912187i | \(-0.634393\pi\) | ||||
−0.409775 | + | 0.912187i | \(0.634393\pi\) | |||||||
\(284\) | 10.8941 | + | 10.8941i | 0.646445 | + | 0.646445i | ||||
\(285\) | −5.16471 | + | 8.94554i | −0.305931 | + | 0.529888i | ||||
\(286\) | 2.28030 | + | 0.120074i | 0.134837 | + | 0.00710013i | ||||
\(287\) | 0.850983 | + | 3.23812i | 0.0502319 | + | 0.191140i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | −9.00685 | − | 15.6003i | −0.529815 | − | 0.917666i | ||||
\(290\) | −2.89674 | + | 5.01730i | −0.170103 | + | 0.294626i | ||||
\(291\) | −7.30052 | − | 1.95617i | −0.427964 | − | 0.114673i | ||||
\(292\) | 5.86530 | + | 5.86530i | 0.343241 | + | 0.343241i | ||||
\(293\) | 3.06465 | + | 0.821170i | 0.179039 | + | 0.0479733i | 0.347224 | − | 0.937782i | \(-0.387124\pi\) |
−0.168186 | + | 0.985755i | \(0.553791\pi\) | |||||||
\(294\) | 1.87668 | − | 6.74374i | 0.109450 | − | 0.393303i | ||||
\(295\) | 25.2285 | + | 43.6970i | 1.46886 | + | 2.54414i | ||||
\(296\) | 1.95154 | − | 1.12672i | 0.113431 | − | 0.0654893i | ||||
\(297\) | 0.447823 | − | 0.447823i | 0.0259853 | − | 0.0259853i | ||||
\(298\) | 12.1486 | − | 7.01402i | 0.703752 | − | 0.406311i | ||||
\(299\) | 0.976204 | − | 18.5389i | 0.0564553 | − | 1.07213i | ||||
\(300\) | − | 12.4741i | − | 0.720195i | ||||||
\(301\) | −3.64706 | − | 6.38763i | −0.210213 | − | 0.368177i | ||||
\(302\) | −3.67462 | + | 6.36463i | −0.211451 | + | 0.366243i | ||||
\(303\) | − | 4.20030i | − | 0.241301i | ||||||
\(304\) | −0.639550 | + | 2.38683i | −0.0366807 | + | 0.136894i | ||||
\(305\) | 13.4004 | + | 50.0108i | 0.767302 | + | 2.86361i | ||||
\(306\) | 4.18412 | − | 4.18412i | 0.239190 | − | 0.239190i | ||||
\(307\) | −10.5351 | + | 10.5351i | −0.601271 | + | 0.601271i | −0.940650 | − | 0.339378i | \(-0.889783\pi\) |
0.339378 | + | 0.940650i | \(0.389783\pi\) | |||||||
\(308\) | 1.62057 | − | 0.425890i | 0.0923408 | − | 0.0242673i | ||||
\(309\) | −1.23322 | − | 0.712002i | −0.0701556 | − | 0.0405044i | ||||
\(310\) | 6.00178 | − | 22.3989i | 0.340878 | − | 1.27217i | ||||
\(311\) | 16.6841 | + | 28.8977i | 0.946069 | + | 1.63864i | 0.753596 | + | 0.657338i | \(0.228317\pi\) |
0.192473 | + | 0.981302i | \(0.438349\pi\) | |||||||
\(312\) | 0.748759 | + | 3.52695i | 0.0423901 | + | 0.199674i | ||||
\(313\) | 1.72540 | + | 0.996161i | 0.0975254 | + | 0.0563063i | 0.547969 | − | 0.836498i | \(-0.315401\pi\) |
−0.450444 | + | 0.892805i | \(0.648734\pi\) | |||||||
\(314\) | 20.6808 | − | 5.54140i | 1.16708 | − | 0.312719i | ||||
\(315\) | 2.81108 | + | 10.6966i | 0.158386 | + | 0.602684i | ||||
\(316\) | −0.370137 | + | 0.213699i | −0.0208218 | + | 0.0120215i | ||||
\(317\) | 5.48586 | + | 20.4735i | 0.308116 | + | 1.14991i | 0.930229 | + | 0.366979i | \(0.119608\pi\) |
−0.622113 | + | 0.782927i | \(0.713726\pi\) | |||||||
\(318\) | −11.5141 | + | 3.08520i | −0.645681 | + | 0.173010i | ||||
\(319\) | 0.847827 | − | 0.227175i | 0.0474692 | − | 0.0127193i | ||||
\(320\) | −1.08192 | − | 4.03777i | −0.0604810 | − | 0.225718i | ||||
\(321\) | 9.48886 | − | 5.47839i | 0.529616 | − | 0.305774i | ||||
\(322\) | −3.46249 | − | 13.1753i | −0.192957 | − | 0.734230i | ||||
\(323\) | 14.1234 | − | 3.78437i | 0.785850 | − | 0.210568i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | 2.36504 | − | 44.9140i | 0.131189 | − | 2.49138i | ||||
\(326\) | 0.111426 | + | 0.192995i | 0.00617131 | + | 0.0106890i | ||||
\(327\) | 0.300729 | − | 1.12234i | 0.0166303 | − | 0.0620653i | ||||
\(328\) | −1.09591 | − | 0.632726i | −0.0605117 | − | 0.0349364i | ||||
\(329\) | −8.50136 | + | 2.23417i | −0.468695 | + | 0.123174i | ||||
\(330\) | −1.87200 | + | 1.87200i | −0.103050 | + | 0.103050i | ||||
\(331\) | 6.63821 | − | 6.63821i | 0.364869 | − | 0.364869i | −0.500733 | − | 0.865602i | \(-0.666936\pi\) |
0.865602 | + | 0.500733i | \(0.166936\pi\) | |||||||
\(332\) | −2.09660 | − | 7.82461i | −0.115066 | − | 0.429431i | ||||
\(333\) | 0.583233 | − | 2.17666i | 0.0319610 | − | 0.119280i | ||||
\(334\) | 19.0523i | 1.04249i | ||||||||
\(335\) | −13.2758 | + | 22.9944i | −0.725335 | + | 1.25632i | ||||
\(336\) | 1.31184 | + | 2.29762i | 0.0715669 | + | 0.125346i | ||||
\(337\) | 15.7627i | 0.858648i | 0.903151 | + | 0.429324i | \(0.141248\pi\) | ||||
−0.903151 | + | 0.429324i | \(0.858752\pi\) | |||||||
\(338\) | 2.02726 | + | 12.8410i | 0.110269 | + | 0.698456i | ||||
\(339\) | −14.1942 | + | 8.19504i | −0.770925 | + | 0.445094i | ||||
\(340\) | −17.4905 | + | 17.4905i | −0.948555 | + | 0.948555i | ||||
\(341\) | −3.04255 | + | 1.75662i | −0.164763 | + | 0.0951262i | ||||
\(342\) | 1.23551 | + | 2.13997i | 0.0668090 | + | 0.115717i | ||||
\(343\) | 0.267169 | − | 18.5183i | 0.0144258 | − | 0.999896i | ||||
\(344\) | 2.68538 | + | 0.719544i | 0.144786 | + | 0.0387952i | ||||
\(345\) | 15.2193 | + | 15.2193i | 0.819382 | + | 0.819382i | ||||
\(346\) | −14.6857 | − | 3.93503i | −0.789510 | − | 0.211549i | ||||
\(347\) | −3.44525 | + | 5.96735i | −0.184951 | + | 0.320344i | −0.943560 | − | 0.331202i | \(-0.892546\pi\) |
0.758609 | + | 0.651546i | \(0.225879\pi\) | |||||||
\(348\) | 0.692966 | + | 1.20025i | 0.0371469 | + | 0.0643403i | ||||
\(349\) | 5.86607 | + | 21.8925i | 0.314004 | + | 1.17188i | 0.924913 | + | 0.380178i | \(0.124137\pi\) |
−0.610910 | + | 0.791700i | \(0.709196\pi\) | |||||||
\(350\) | −8.38854 | − | 31.9196i | −0.448386 | − | 1.70618i | ||||
\(351\) | 3.02338 | + | 1.96448i | 0.161376 | + | 0.104856i | ||||
\(352\) | −0.316659 | + | 0.548469i | −0.0168780 | + | 0.0292335i | ||||
\(353\) | −0.656622 | − | 0.656622i | −0.0349484 | − | 0.0349484i | 0.689417 | − | 0.724365i | \(-0.257867\pi\) |
−0.724365 | + | 0.689417i | \(0.757867\pi\) | |||||||
\(354\) | 12.0704 | 0.641536 | ||||||||
\(355\) | −64.4027 | −3.41814 | ||||||||
\(356\) | −1.18693 | − | 1.18693i | −0.0629072 | − | 0.0629072i | ||||
\(357\) | 7.89288 | − | 13.5203i | 0.417735 | − | 0.715570i | ||||
\(358\) | −5.38151 | + | 20.0841i | −0.284422 | + | 1.06148i | ||||
\(359\) | 6.27110 | − | 1.68034i | 0.330976 | − | 0.0886847i | −0.0895044 | − | 0.995986i | \(-0.528528\pi\) |
0.420480 | + | 0.907302i | \(0.361862\pi\) | |||||||
\(360\) | −3.62017 | − | 2.09010i | −0.190800 | − | 0.110158i | ||||
\(361\) | − | 12.8940i | − | 0.678632i | ||||||
\(362\) | 18.9039 | + | 5.06527i | 0.993564 | + | 0.266225i | ||||
\(363\) | −10.5989 | −0.556298 | ||||||||
\(364\) | 4.28775 | + | 8.52145i | 0.224739 | + | 0.446646i | ||||
\(365\) | −34.6740 | −1.81492 | ||||||||
\(366\) | 11.9637 | + | 3.20567i | 0.625353 | + | 0.167563i | ||||
\(367\) | − | 26.0077i | − | 1.35759i | −0.734328 | − | 0.678794i | \(-0.762503\pi\) | ||
0.734328 | − | 0.678794i | \(-0.237497\pi\) | |||||||
\(368\) | 4.45906 | + | 2.57444i | 0.232445 | + | 0.134202i | ||||
\(369\) | −1.22233 | + | 0.327523i | −0.0636321 | + | 0.0170502i | ||||
\(370\) | −2.43804 | + | 9.09888i | −0.126748 | + | 0.473028i | ||||
\(371\) | −27.3884 | + | 15.6376i | −1.42193 | + | 0.811862i | ||||
\(372\) | −3.92257 | − | 3.92257i | −0.203376 | − | 0.203376i | ||||
\(373\) | −25.7204 | −1.33175 | −0.665876 | − | 0.746063i | \(-0.731942\pi\) | ||||
−0.665876 | + | 0.746063i | \(0.731942\pi\) | |||||||
\(374\) | 3.74749 | 0.193778 | ||||||||
\(375\) | 22.0925 | + | 22.0925i | 1.14085 | + | 1.14085i | ||||
\(376\) | 1.66116 | − | 2.87721i | 0.0856678 | − | 0.148381i | ||||
\(377\) | 2.26751 | + | 4.45297i | 0.116782 | + | 0.229339i | ||||
\(378\) | 2.55228 | + | 0.697052i | 0.131275 | + | 0.0358525i | ||||
\(379\) | −7.60010 | − | 28.3640i | −0.390391 | − | 1.45696i | −0.829491 | − | 0.558520i | \(-0.811369\pi\) |
0.439100 | − | 0.898438i | \(-0.355297\pi\) | |||||||
\(380\) | −5.16471 | − | 8.94554i | −0.264944 | − | 0.458897i | ||||
\(381\) | 9.20531 | − | 15.9441i | 0.471602 | − | 0.816839i | ||||
\(382\) | −5.09302 | − | 1.36467i | −0.260582 | − | 0.0698226i | ||||
\(383\) | −8.93303 | − | 8.93303i | −0.456457 | − | 0.456457i | 0.441034 | − | 0.897490i | \(-0.354612\pi\) |
−0.897490 | + | 0.441034i | \(0.854612\pi\) | |||||||
\(384\) | −0.965926 | − | 0.258819i | −0.0492922 | − | 0.0132078i | ||||
\(385\) | −3.53131 | + | 6.04905i | −0.179972 | + | 0.308288i | ||||
\(386\) | −6.83128 | − | 11.8321i | −0.347703 | − | 0.602239i | ||||
\(387\) | 2.40764 | − | 1.39005i | 0.122387 | − | 0.0706603i | ||||
\(388\) | 5.34435 | − | 5.34435i | 0.271319 | − | 0.271319i | ||||
\(389\) | 12.5800 | − | 7.26305i | 0.637830 | − | 0.368251i | −0.145948 | − | 0.989292i | \(-0.546623\pi\) |
0.783778 | + | 0.621041i | \(0.213290\pi\) | |||||||
\(390\) | −12.6384 | − | 8.21192i | −0.639969 | − | 0.415827i | ||||
\(391\) | − | 30.4672i | − | 1.54079i | ||||||
\(392\) | 4.90191 | + | 4.99712i | 0.247584 | + | 0.252393i | ||||
\(393\) | 5.39580 | − | 9.34579i | 0.272182 | − | 0.471433i | ||||
\(394\) | − | 12.6610i | − | 0.637854i | ||||||
\(395\) | 0.462409 | − | 1.72573i | 0.0232663 | − | 0.0868311i | ||||
\(396\) | 0.163915 | + | 0.611738i | 0.00823703 | + | 0.0307410i | ||||
\(397\) | 3.82079 | − | 3.82079i | 0.191760 | − | 0.191760i | −0.604696 | − | 0.796456i | \(-0.706705\pi\) |
0.796456 | + | 0.604696i | \(0.206705\pi\) | |||||||
\(398\) | 4.24035 | − | 4.24035i | 0.212549 | − | 0.212549i | ||||
\(399\) | 4.60059 | + | 4.64505i | 0.230318 | + | 0.232543i | ||||
\(400\) | 10.8029 | + | 6.23707i | 0.540146 | + | 0.311854i | ||||
\(401\) | −1.06062 | + | 3.95830i | −0.0529650 | + | 0.197668i | −0.987339 | − | 0.158627i | \(-0.949293\pi\) |
0.934374 | + | 0.356295i | \(0.115960\pi\) | |||||||
\(402\) | 3.17587 | + | 5.50077i | 0.158398 | + | 0.274354i | ||||
\(403\) | −13.3798 | − | 14.8672i | −0.666493 | − | 0.740586i | ||||
\(404\) | 3.63757 | + | 2.10015i | 0.180976 | + | 0.104486i | ||||
\(405\) | −4.03777 | + | 1.08192i | −0.200638 | + | 0.0537609i | ||||
\(406\) | 2.58034 | + | 2.60528i | 0.128060 | + | 0.129298i | ||||
\(407\) | 1.23594 | − | 0.713572i | 0.0612634 | − | 0.0353705i | ||||
\(408\) | 1.53149 | + | 5.71561i | 0.0758202 | + | 0.282965i | ||||
\(409\) | 0.120382 | − | 0.0322563i | 0.00595252 | − | 0.00159497i | −0.255842 | − | 0.966719i | \(-0.582353\pi\) |
0.261794 | + | 0.965124i | \(0.415686\pi\) | |||||||
\(410\) | 5.10961 | − | 1.36911i | 0.252345 | − | 0.0676158i | ||||
\(411\) | 3.85400 | + | 14.3833i | 0.190104 | + | 0.709477i | ||||
\(412\) | 1.23322 | − | 0.712002i | 0.0607566 | − | 0.0350778i | ||||
\(413\) | 30.8866 | − | 8.11705i | 1.51983 | − | 0.399414i | ||||
\(414\) | 4.97344 | − | 1.33263i | 0.244431 | − | 0.0654951i | ||||
\(415\) | 29.3256 | + | 16.9312i | 1.43954 | + | 0.831118i | ||||
\(416\) | −3.42881 | − | 1.11503i | −0.168111 | − | 0.0546688i | ||||
\(417\) | 4.72747 | + | 8.18822i | 0.231505 | + | 0.400979i | ||||
\(418\) | −0.405038 | + | 1.51162i | −0.0198111 | + | 0.0739359i | ||||
\(419\) | 3.80264 | + | 2.19546i | 0.185771 | + | 0.107255i | 0.590001 | − | 0.807402i | \(-0.299127\pi\) |
−0.404230 | + | 0.914657i | \(0.632461\pi\) | |||||||
\(420\) | −10.6691 | − | 2.91382i | −0.520596 | − | 0.142180i | ||||
\(421\) | −22.1184 | + | 22.1184i | −1.07799 | + | 1.07799i | −0.0812959 | + | 0.996690i | \(0.525906\pi\) |
−0.996690 | + | 0.0812959i | \(0.974094\pi\) | |||||||
\(422\) | −14.9333 | + | 14.9333i | −0.726941 | + | 0.726941i | ||||
\(423\) | −0.859880 | − | 3.20911i | −0.0418088 | − | 0.156032i | ||||
\(424\) | 3.08520 | − | 11.5141i | 0.149831 | − | 0.559176i | ||||
\(425\) | − | 73.8125i | − | 3.58043i | ||||||
\(426\) | −7.70329 | + | 13.3425i | −0.373225 | + | 0.646445i | ||||
\(427\) | 32.7692 | + | 0.157581i | 1.58581 | + | 0.00762586i | ||||
\(428\) | 10.9568i | 0.529616i | ||||||||
\(429\) | 0.474203 | + | 2.23368i | 0.0228947 | + | 0.107843i | ||||
\(430\) | −10.0644 | + | 5.81071i | −0.485351 | + | 0.280217i | ||||
\(431\) | −8.10063 | + | 8.10063i | −0.390194 | + | 0.390194i | −0.874756 | − | 0.484563i | \(-0.838979\pi\) |
0.484563 | + | 0.874756i | \(0.338979\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | 5.94636 | + | 10.2994i | 0.285764 | + | 0.494958i | 0.972794 | − | 0.231671i | \(-0.0744194\pi\) |
−0.687030 | + | 0.726629i | \(0.741086\pi\) | |||||||
\(434\) | −12.6751 | − | 7.39949i | −0.608426 | − | 0.355187i | ||||
\(435\) | −5.59608 | − | 1.49946i | −0.268311 | − | 0.0718938i | ||||
\(436\) | 0.821606 | + | 0.821606i | 0.0393478 | + | 0.0393478i | ||||
\(437\) | 12.2895 | + | 3.29297i | 0.587887 | + | 0.157524i | ||||
\(438\) | −4.14740 | + | 7.18350i | −0.198170 | + | 0.343241i | ||||
\(439\) | 4.30988 | + | 7.46493i | 0.205699 | + | 0.356281i | 0.950355 | − | 0.311167i | \(-0.100720\pi\) |
−0.744656 | + | 0.667448i | \(0.767386\pi\) | |||||||
\(440\) | −0.685198 | − | 2.55719i | −0.0326655 | − | 0.121909i | ||||
\(441\) | 6.99968 | + | 0.0673217i | 0.333318 | + | 0.00320579i | ||||
\(442\) | 4.43059 | + | 20.8698i | 0.210742 | + | 0.992675i | ||||
\(443\) | −4.22436 | + | 7.31680i | −0.200705 | + | 0.347632i | −0.948756 | − | 0.316010i | \(-0.897657\pi\) |
0.748051 | + | 0.663642i | \(0.230990\pi\) | |||||||
\(444\) | 1.59342 | + | 1.59342i | 0.0756205 | + | 0.0756205i | ||||
\(445\) | 7.01679 | 0.332628 | ||||||||
\(446\) | −19.5232 | −0.924451 | ||||||||
\(447\) | 9.91933 | + | 9.91933i | 0.469168 | + | 0.469168i | ||||
\(448\) | −2.64572 | − | 0.0127227i | −0.124999 | − | 0.000601093i | ||||
\(449\) | −2.32879 | + | 8.69115i | −0.109902 | + | 0.410161i | −0.998855 | − | 0.0478379i | \(-0.984767\pi\) |
0.888953 | + | 0.457999i | \(0.151434\pi\) | |||||||
\(450\) | 12.0491 | − | 3.22855i | 0.568000 | − | 0.152195i | ||||
\(451\) | −0.694062 | − | 0.400717i | −0.0326821 | − | 0.0188690i | ||||
\(452\) | − | 16.3901i | − | 0.770925i | ||||||
\(453\) | −7.09882 | − | 1.90212i | −0.333532 | − | 0.0893696i | ||||
\(454\) | −20.2031 | −0.948178 | ||||||||
\(455\) | −37.8621 | − | 12.5142i | −1.77500 | − | 0.586675i | ||||
\(456\) | −2.47103 | −0.115717 | ||||||||
\(457\) | 17.8938 | + | 4.79464i | 0.837039 | + | 0.224284i | 0.651782 | − | 0.758406i | \(-0.274022\pi\) |
0.185257 | + | 0.982690i | \(0.440688\pi\) | |||||||
\(458\) | 1.88924i | 0.0882785i | ||||||||
\(459\) | 5.12448 | + | 2.95862i | 0.239190 | + | 0.138096i | ||||
\(460\) | −20.7900 | + | 5.57067i | −0.969340 | + | 0.259734i | ||||
\(461\) | 10.7940 | − | 40.2836i | 0.502725 | − | 1.87620i | 0.0211769 | − | 0.999776i | \(-0.493259\pi\) |
0.481548 | − | 0.876420i | \(-0.340075\pi\) | |||||||
\(462\) | 0.830813 | + | 1.45513i | 0.0386529 | + | 0.0676986i | ||||
\(463\) | −12.7149 | − | 12.7149i | −0.590912 | − | 0.590912i | 0.346966 | − | 0.937878i | \(-0.387212\pi\) |
−0.937878 | + | 0.346966i | \(0.887212\pi\) | |||||||
\(464\) | −1.38593 | −0.0643403 | ||||||||
\(465\) | 23.1891 | 1.07537 | ||||||||
\(466\) | 0.273020 | + | 0.273020i | 0.0126474 | + | 0.0126474i | ||||
\(467\) | −0.419923 | + | 0.727328i | −0.0194317 | + | 0.0336567i | −0.875578 | − | 0.483077i | \(-0.839519\pi\) |
0.856146 | + | 0.516734i | \(0.172852\pi\) | |||||||
\(468\) | −3.21298 | + | 1.63609i | −0.148520 | + | 0.0756282i | ||||
\(469\) | 11.8258 | + | 11.9400i | 0.546062 | + | 0.551340i | ||||
\(470\) | 3.59448 | + | 13.4148i | 0.165801 | + | 0.618777i | ||||
\(471\) | 10.7052 | + | 18.5419i | 0.493268 | + | 0.854365i | ||||
\(472\) | −6.03521 | + | 10.4533i | −0.277793 | + | 0.481152i | ||||
\(473\) | 1.70070 | + | 0.455700i | 0.0781981 | + | 0.0209531i | ||||
\(474\) | −0.302216 | − | 0.302216i | −0.0138812 | − | 0.0138812i | ||||
\(475\) | 29.7737 | + | 7.97784i | 1.36611 | + | 0.366048i | ||||
\(476\) | 7.76248 | + | 13.5956i | 0.355793 | + | 0.623152i | ||||
\(477\) | −5.96016 | − | 10.3233i | −0.272897 | − | 0.472671i | ||||
\(478\) | −5.64287 | + | 3.25791i | −0.258099 | + | 0.149013i | ||||
\(479\) | −17.5587 | + | 17.5587i | −0.802277 | + | 0.802277i | −0.983451 | − | 0.181174i | \(-0.942010\pi\) |
0.181174 | + | 0.983451i | \(0.442010\pi\) | |||||||
\(480\) | 3.62017 | − | 2.09010i | 0.165237 | − | 0.0953998i | ||||
\(481\) | 5.43511 | + | 6.03932i | 0.247820 | + | 0.275370i | ||||
\(482\) | 14.9626i | 0.681530i | ||||||||
\(483\) | 11.8302 | − | 6.75452i | 0.538292 | − | 0.307341i | ||||
\(484\) | 5.29945 | − | 9.17892i | 0.240884 | − | 0.417224i | ||||
\(485\) | 31.5943i | 1.43462i | ||||||||
\(486\) | −0.258819 | + | 0.965926i | −0.0117403 | + | 0.0438153i | ||||
\(487\) | 9.73144 | + | 36.3182i | 0.440974 | + | 1.64574i | 0.726354 | + | 0.687321i | \(0.241213\pi\) |
−0.285380 | + | 0.958414i | \(0.592120\pi\) | |||||||
\(488\) | −8.75804 | + | 8.75804i | −0.396458 | + | 0.396458i | ||||
\(489\) | −0.157580 | + | 0.157580i | −0.00712601 | + | 0.00712601i | ||||
\(490\) | −29.2601 | − | 0.281419i | −1.32184 | − | 0.0127132i | ||||
\(491\) | −20.0647 | − | 11.5844i | −0.905507 | − | 0.522795i | −0.0265243 | − | 0.999648i | \(-0.508444\pi\) |
−0.878983 | + | 0.476853i | \(0.841777\pi\) | |||||||
\(492\) | 0.327523 | − | 1.22233i | 0.0147659 | − | 0.0551070i | ||||
\(493\) | 4.10044 | + | 7.10218i | 0.184675 | + | 0.319866i | ||||
\(494\) | −8.89710 | − | 0.468496i | −0.400299 | − | 0.0210786i | ||||
\(495\) | −2.29272 | − | 1.32370i | −0.103050 | − | 0.0594959i | ||||
\(496\) | 5.35833 | − | 1.43576i | 0.240596 | − | 0.0644675i | ||||
\(497\) | −10.7392 | + | 39.3218i | −0.481718 | + | 1.76383i | ||||
\(498\) | 7.01535 | − | 4.05032i | 0.314366 | − | 0.181499i | ||||
\(499\) | 5.12214 | + | 19.1161i | 0.229299 | + | 0.855754i | 0.980637 | + | 0.195836i | \(0.0627422\pi\) |
−0.751338 | + | 0.659918i | \(0.770591\pi\) | |||||||
\(500\) | −30.1789 | + | 8.08641i | −1.34964 | + | 0.361635i | ||||
\(501\) | −18.4031 | + | 4.93109i | −0.822189 | + | 0.220305i | ||||
\(502\) | 4.05437 | + | 15.1311i | 0.180955 | + | 0.675335i | ||||
\(503\) | 1.87260 | − | 1.08114i | 0.0834949 | − | 0.0482058i | −0.457671 | − | 0.889121i | \(-0.651316\pi\) |
0.541166 | + | 0.840916i | \(0.317983\pi\) | |||||||
\(504\) | −1.87980 | + | 1.86181i | −0.0837331 | + | 0.0829316i | ||||
\(505\) | −16.9599 | + | 4.54438i | −0.754704 | + | 0.202222i | ||||
\(506\) | 2.82400 | + | 1.63044i | 0.125542 | + | 0.0724819i | ||||
\(507\) | −11.8787 | + | 5.28167i | −0.527552 | + | 0.234567i | ||||
\(508\) | 9.20531 | + | 15.9441i | 0.408420 | + | 0.707404i | ||||
\(509\) | 6.78091 | − | 25.3067i | 0.300559 | − | 1.12170i | −0.636143 | − | 0.771571i | \(-0.719471\pi\) |
0.936702 | − | 0.350129i | \(-0.113862\pi\) | |||||||
\(510\) | −21.4214 | − | 12.3676i | −0.948555 | − | 0.547649i | ||||
\(511\) | −5.78190 | + | 21.1706i | −0.255776 | + | 0.936532i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −1.74728 | + | 1.74728i | −0.0771444 | + | 0.0771444i | ||||
\(514\) | −7.42750 | − | 27.7198i | −0.327613 | − | 1.22267i | ||||
\(515\) | −1.54065 | + | 5.74980i | −0.0678894 | + | 0.253367i | ||||
\(516\) | 2.78010i | 0.122387i | ||||||||
\(517\) | 1.05204 | − | 1.82219i | 0.0462688 | − | 0.0801399i | ||||
\(518\) | 5.14889 | + | 3.00582i | 0.226229 | + | 0.132068i | ||||
\(519\) | − | 15.2038i | − | 0.667373i | ||||||
\(520\) | 13.4309 | − | 6.83919i | 0.588985 | − | 0.299918i | ||||
\(521\) | 6.95625 | − | 4.01619i | 0.304759 | − | 0.175952i | −0.339820 | − | 0.940490i | \(-0.610366\pi\) |
0.644579 | + | 0.764538i | \(0.277033\pi\) | |||||||
\(522\) | −0.980002 | + | 0.980002i | −0.0428935 | + | 0.0428935i | ||||
\(523\) | −7.14193 | + | 4.12339i | −0.312295 | + | 0.180303i | −0.647953 | − | 0.761680i | \(-0.724375\pi\) |
0.335658 | + | 0.941984i | \(0.391041\pi\) | |||||||
\(524\) | 5.39580 | + | 9.34579i | 0.235716 | + | 0.408273i | ||||
\(525\) | 28.6609 | − | 16.3641i | 1.25086 | − | 0.714188i | ||||
\(526\) | −11.6397 | − | 3.11886i | −0.507516 | − | 0.135989i | ||||
\(527\) | −23.2108 | − | 23.2108i | −1.01108 | − | 1.01108i | ||||
\(528\) | −0.611738 | − | 0.163915i | −0.0266225 | − | 0.00713347i | ||||
\(529\) | 1.75550 | − | 3.04062i | 0.0763261 | − | 0.132201i | ||||
\(530\) | 24.9147 | + | 43.1535i | 1.08223 | + | 1.87447i | ||||
\(531\) | 3.12406 | + | 11.6591i | 0.135573 | + | 0.505963i | ||||
\(532\) | −6.32303 | + | 1.66170i | −0.274138 | + | 0.0720439i | ||||
\(533\) | 1.41102 | − | 4.33899i | 0.0611179 | − | 0.187942i | ||||
\(534\) | 0.839287 | − | 1.45369i | 0.0363195 | − | 0.0629072i | ||||
\(535\) | −32.3867 | − | 32.3867i | −1.40020 | − | 1.40020i | ||||
\(536\) | −6.35175 | −0.274354 | ||||||||
\(537\) | −20.7926 | −0.897265 | ||||||||
\(538\) | −1.29626 | − | 1.29626i | −0.0558857 | − | 0.0558857i | ||||
\(539\) | 3.10447 | + | 3.16477i | 0.133719 | + | 0.136316i | ||||
\(540\) | 1.08192 | − | 4.03777i | 0.0465583 | − | 0.173758i | ||||
\(541\) | −27.0933 | + | 7.25962i | −1.16483 | + | 0.312116i | −0.788894 | − | 0.614530i | \(-0.789346\pi\) |
−0.375937 | + | 0.926645i | \(0.622679\pi\) | |||||||
\(542\) | 12.9827 | + | 7.49556i | 0.557654 | + | 0.321962i | ||||
\(543\) | 19.5707i | 0.839859i | ||||||||
\(544\) | −5.71561 | − | 1.53149i | −0.245055 | − | 0.0656623i | ||||
\(545\) | −4.85710 | −0.208055 | ||||||||
\(546\) | −7.12134 | + | 6.34716i | −0.304765 | + | 0.271634i | ||||
\(547\) | 33.9957 | 1.45355 | 0.726776 | − | 0.686875i | \(-0.241018\pi\) | ||||
0.726776 | + | 0.686875i | \(0.241018\pi\) | |||||||
\(548\) | −14.3833 | − | 3.85400i | −0.614425 | − | 0.164635i | ||||
\(549\) | 12.3857i | 0.528610i | ||||||||
\(550\) | 6.84169 | + | 3.95005i | 0.291731 | + | 0.168431i | ||||
\(551\) | −3.30799 | + | 0.886372i | −0.140925 | + | 0.0377607i | ||||
\(552\) | −1.33263 | + | 4.97344i | −0.0567205 | + | 0.211684i | ||||
\(553\) | −0.976561 | − | 0.570096i | −0.0415276 | − | 0.0242430i | ||||
\(554\) | 4.12239 | + | 4.12239i | 0.175143 | + | 0.175143i | ||||
\(555\) | −9.41985 | −0.399850 | ||||||||
\(556\) | −9.45494 | −0.400979 | ||||||||
\(557\) | −10.7205 | − | 10.7205i | −0.454240 | − | 0.454240i | 0.442519 | − | 0.896759i | \(-0.354085\pi\) |
−0.896759 | + | 0.442519i | \(0.854085\pi\) | |||||||
\(558\) | 2.77367 | − | 4.80415i | 0.117419 | − | 0.203376i | ||||
\(559\) | −0.527095 | + | 10.0099i | −0.0222937 | + | 0.423375i | ||||
\(560\) | 7.85797 | − | 7.78276i | 0.332060 | − | 0.328882i | ||||
\(561\) | 0.969922 | + | 3.61980i | 0.0409502 | + | 0.152828i | ||||
\(562\) | 12.5716 | + | 21.7746i | 0.530300 | + | 0.918506i | ||||
\(563\) | 9.71160 | − | 16.8210i | 0.409295 | − | 0.708920i | −0.585516 | − | 0.810661i | \(-0.699108\pi\) |
0.994811 | + | 0.101741i | \(0.0324412\pi\) | |||||||
\(564\) | 3.20911 | + | 0.859880i | 0.135128 | + | 0.0362075i | ||||
\(565\) | 48.4467 | + | 48.4467i | 2.03817 | + | 2.03817i | ||||
\(566\) | 13.3172 | + | 3.56833i | 0.559763 | + | 0.149988i | ||||
\(567\) | −0.0127227 | + | 2.64572i | −0.000534305 | + | 0.111110i | ||||
\(568\) | −7.70329 | − | 13.3425i | −0.323223 | − | 0.559838i | ||||
\(569\) | −38.9709 | + | 22.4999i | −1.63374 | + | 0.943243i | −0.650821 | + | 0.759231i | \(0.725575\pi\) |
−0.982924 | + | 0.184012i | \(0.941092\pi\) | |||||||
\(570\) | 7.30400 | − | 7.30400i | 0.305931 | − | 0.305931i | ||||
\(571\) | 24.2146 | − | 13.9803i | 1.01335 | − | 0.585058i | 0.101180 | − | 0.994868i | \(-0.467738\pi\) |
0.912171 | + | 0.409810i | \(0.134405\pi\) | |||||||
\(572\) | −2.17152 | − | 0.706168i | −0.0907960 | − | 0.0295264i | ||||
\(573\) | − | 5.27268i | − | 0.220270i | ||||||
\(574\) | 0.0161000 | − | 3.34803i | 0.000672002 | − | 0.139744i | ||||
\(575\) | 32.1140 | − | 55.6230i | 1.33924 | − | 2.31964i | ||||
\(576\) | − | 1.00000i | − | 0.0416667i | ||||||
\(577\) | −11.2866 | + | 42.1222i | −0.469868 | + | 1.75357i | 0.170356 | + | 0.985383i | \(0.445508\pi\) |
−0.640224 | + | 0.768188i | \(0.721159\pi\) | |||||||
\(578\) | 4.66229 | + | 17.3999i | 0.193926 | + | 0.723740i | ||||
\(579\) | 9.66089 | − | 9.66089i | 0.401493 | − | 0.401493i | ||||
\(580\) | 4.09661 | − | 4.09661i | 0.170103 | − | 0.170103i | ||||
\(581\) | 15.2276 | − | 15.0818i | 0.631747 | − | 0.625700i | ||||
\(582\) | 6.54547 | + | 3.77903i | 0.271319 | + | 0.156646i | ||||
\(583\) | 1.95391 | − | 7.29211i | 0.0809229 | − | 0.302008i | ||||
\(584\) | −4.14740 | − | 7.18350i | −0.171620 | − | 0.297255i | ||||
\(585\) | 4.66106 | − | 14.3331i | 0.192711 | − | 0.592602i | ||||
\(586\) | −2.74769 | − | 1.58638i | −0.113506 | − | 0.0655327i | ||||
\(587\) | 9.26294 | − | 2.48200i | 0.382322 | − | 0.102443i | −0.0625387 | − | 0.998043i | \(-0.519920\pi\) |
0.444861 | + | 0.895600i | \(0.353253\pi\) | |||||||
\(588\) | −3.55814 | + | 6.02824i | −0.146735 | + | 0.248600i | ||||
\(589\) | 11.8712 | − | 6.85383i | 0.489144 | − | 0.282407i | ||||
\(590\) | −13.0592 | − | 48.7376i | −0.537639 | − | 2.00650i | ||||
\(591\) | 12.2296 | − | 3.27692i | 0.503059 | − | 0.134794i | ||||
\(592\) | −2.17666 | + | 0.583233i | −0.0894600 | + | 0.0239707i | ||||
\(593\) | 1.28640 | + | 4.80089i | 0.0528259 | + | 0.197149i | 0.987296 | − | 0.158893i | \(-0.0507926\pi\) |
−0.934470 | + | 0.356042i | \(0.884126\pi\) | |||||||
\(594\) | −0.548469 | + | 0.316659i | −0.0225040 | + | 0.0129927i | ||||
\(595\) | −63.1313 | − | 17.2418i | −2.58813 | − | 0.706844i | ||||
\(596\) | −13.5501 | + | 3.63073i | −0.555032 | + | 0.148720i | ||||
\(597\) | 5.19335 | + | 2.99838i | 0.212549 | + | 0.122716i | ||||
\(598\) | −5.74116 | + | 17.6545i | −0.234773 | + | 0.721947i | ||||
\(599\) | −11.6073 | − | 20.1044i | −0.474260 | − | 0.821443i | 0.525305 | − | 0.850914i | \(-0.323951\pi\) |
−0.999566 | + | 0.0294711i | \(0.990618\pi\) | |||||||
\(600\) | −3.22855 | + | 12.0491i | −0.131805 | + | 0.491902i | ||||
\(601\) | 29.9917 | + | 17.3157i | 1.22339 | + | 0.706322i | 0.965638 | − | 0.259890i | \(-0.0836862\pi\) |
0.257748 | + | 0.966212i | \(0.417020\pi\) | |||||||
\(602\) | 1.86955 | + | 7.11391i | 0.0761971 | + | 0.289941i | ||||
\(603\) | −4.49136 | + | 4.49136i | −0.182902 | + | 0.182902i | ||||
\(604\) | 5.19670 | − | 5.19670i | 0.211451 | − | 0.211451i | ||||
\(605\) | 11.4671 | + | 42.7960i | 0.466206 | + | 1.73990i | ||||
\(606\) | −1.08712 | + | 4.05718i | −0.0441611 | + | 0.164812i | ||||
\(607\) | 37.4675i | 1.52076i | 0.649479 | + | 0.760380i | \(0.274987\pi\) | ||||
−0.649479 | + | 0.760380i | \(0.725013\pi\) | |||||||
\(608\) | 1.23551 | − | 2.13997i | 0.0501067 | − | 0.0867874i | ||||
\(609\) | −1.84866 | + | 3.16672i | −0.0749117 | + | 0.128322i | ||||
\(610\) | − | 51.7750i | − | 2.09631i | ||||||
\(611\) | 11.3916 | + | 3.70448i | 0.460854 | + | 0.149867i | ||||
\(612\) | −5.12448 | + | 2.95862i | −0.207145 | + | 0.119595i | ||||
\(613\) | 8.48376 | − | 8.48376i | 0.342656 | − | 0.342656i | −0.514709 | − | 0.857365i | \(-0.672100\pi\) |
0.857365 | + | 0.514709i | \(0.172100\pi\) | |||||||
\(614\) | 12.9028 | − | 7.44946i | 0.520716 | − | 0.300636i | ||||
\(615\) | 2.64493 | + | 4.58115i | 0.106654 | + | 0.184730i | ||||
\(616\) | −1.67558 | − | 0.00805754i | −0.0675111 | − | 0.000324648i | ||||
\(617\) | −1.90489 | − | 0.510413i | −0.0766879 | − | 0.0205485i | 0.220271 | − | 0.975439i | \(-0.429306\pi\) |
−0.296959 | + | 0.954890i | \(0.595972\pi\) | |||||||
\(618\) | 1.00692 | + | 1.00692i | 0.0405044 | + | 0.0405044i | ||||
\(619\) | 18.6069 | + | 4.98570i | 0.747874 | + | 0.200392i | 0.612575 | − | 0.790413i | \(-0.290134\pi\) |
0.135299 | + | 0.990805i | \(0.456800\pi\) | |||||||
\(620\) | −11.5945 | + | 20.0823i | −0.465648 | + | 0.806526i | ||||
\(621\) | 2.57444 | + | 4.45906i | 0.103309 | + | 0.178936i | ||||
\(622\) | −8.63633 | − | 32.2312i | −0.346285 | − | 1.29235i | ||||
\(623\) | 1.17005 | − | 4.28419i | 0.0468772 | − | 0.171642i | ||||
\(624\) | 0.189595 | − | 3.60056i | 0.00758989 | − | 0.144138i | ||||
\(625\) | 34.1168 | − | 59.0920i | 1.36467 | − | 2.36368i | ||||
\(626\) | −1.40878 | − | 1.40878i | −0.0563063 | − | 0.0563063i | ||||
\(627\) | −1.56495 | −0.0624980 | ||||||||
\(628\) | −21.4103 | −0.854365 | ||||||||
\(629\) | 9.42866 | + | 9.42866i | 0.375945 | + | 0.375945i | ||||
\(630\) | 0.0531837 | − | 11.0597i | 0.00211889 | − | 0.440628i | ||||
\(631\) | 8.30437 | − | 30.9923i | 0.330592 | − | 1.23378i | −0.577978 | − | 0.816052i | \(-0.696158\pi\) |
0.908570 | − | 0.417733i | \(-0.137175\pi\) | |||||||
\(632\) | 0.412834 | − | 0.110619i | 0.0164217 | − | 0.00440017i | ||||
\(633\) | −18.2895 | − | 10.5594i | −0.726941 | − | 0.419699i | ||||
\(634\) | − | 21.1957i | − | 0.841790i | ||||||
\(635\) | −74.3379 | − | 19.9188i | −2.95001 | − | 0.790453i | ||||
\(636\) | 11.9203 | 0.472671 | ||||||||
\(637\) | −13.9542 | + | 21.0304i | −0.552887 | + | 0.833256i | ||||
\(638\) | −0.877735 | −0.0347499 | ||||||||
\(639\) | −14.8816 | − | 3.98751i | −0.588707 | − | 0.157744i | ||||
\(640\) | 4.18021i | 0.165237i | ||||||||
\(641\) | 29.2441 | + | 16.8841i | 1.15507 | + | 0.666882i | 0.950118 | − | 0.311889i | \(-0.100962\pi\) |
0.204955 | + | 0.978771i | \(0.434295\pi\) | |||||||
\(642\) | −10.5834 | + | 2.83583i | −0.417695 | + | 0.111921i | ||||
\(643\) | 9.13754 | − | 34.1018i | 0.360349 | − | 1.34484i | −0.513268 | − | 0.858228i | \(-0.671565\pi\) |
0.873617 | − | 0.486614i | \(-0.161768\pi\) | |||||||
\(644\) | −0.0655079 | + | 13.6225i | −0.00258137 | + | 0.536802i | ||||
\(645\) | −8.21758 | − | 8.21758i | −0.323567 | − | 0.323567i | ||||
\(646\) | −14.6217 | −0.575282 | ||||||||
\(647\) | −13.5488 | −0.532659 | −0.266330 | − | 0.963882i | \(-0.585811\pi\) | ||||
−0.266330 | + | 0.963882i | \(0.585811\pi\) | |||||||
\(648\) | −0.707107 | − | 0.707107i | −0.0277778 | − | 0.0277778i | ||||
\(649\) | −3.82221 | + | 6.62026i | −0.150035 | + | 0.259868i | ||||
\(650\) | −13.9090 | + | 42.7714i | −0.545557 | + | 1.67763i | ||||
\(651\) | 3.86679 | − | 14.1584i | 0.151552 | − | 0.554910i | ||||
\(652\) | −0.0576783 | − | 0.215258i | −0.00225886 | − | 0.00843016i | ||||
\(653\) | 1.97187 | + | 3.41538i | 0.0771652 | + | 0.133654i | 0.902026 | − | 0.431682i | \(-0.142080\pi\) |
−0.824861 | + | 0.565336i | \(0.808746\pi\) | |||||||
\(654\) | −0.580963 | + | 1.00626i | −0.0227175 | + | 0.0393478i | ||||
\(655\) | −43.5740 | − | 11.6756i | −1.70258 | − | 0.456204i | ||||
\(656\) | 0.894810 | + | 0.894810i | 0.0349364 | + | 0.0349364i | ||||
\(657\) | −8.01215 | − | 2.14685i | −0.312584 | − | 0.0837566i | ||||
\(658\) | 8.78993 | + | 0.0422690i | 0.342667 | + | 0.00164782i | ||||
\(659\) | 2.53663 | + | 4.39357i | 0.0988130 | + | 0.171149i | 0.911194 | − | 0.411978i | \(-0.135162\pi\) |
−0.812381 | + | 0.583128i | \(0.801829\pi\) | |||||||
\(660\) | 2.29272 | − | 1.32370i | 0.0892439 | − | 0.0515250i | ||||
\(661\) | −31.1021 | + | 31.1021i | −1.20973 | + | 1.20973i | −0.238619 | + | 0.971113i | \(0.576695\pi\) |
−0.971113 | + | 0.238619i | \(0.923305\pi\) | |||||||
\(662\) | −8.13012 | + | 4.69393i | −0.315986 | + | 0.182435i | ||||
\(663\) | −19.0119 | + | 9.68112i | −0.738363 | + | 0.375983i | ||||
\(664\) | 8.10063i | 0.314366i | ||||||||
\(665\) | 13.7782 | − | 23.6017i | 0.534295 | − | 0.915234i | ||||
\(666\) | −1.12672 | + | 1.95154i | −0.0436595 | + | 0.0756205i | ||||
\(667\) | 7.13600i | 0.276307i | ||||||||
\(668\) | 4.93109 | − | 18.4031i | 0.190790 | − | 0.712037i | ||||
\(669\) | −5.05298 | − | 18.8580i | −0.195360 | − | 0.729092i | ||||
\(670\) | 18.7748 | − | 18.7748i | 0.725335 | − | 0.725335i | ||||
\(671\) | −5.54662 | + | 5.54662i | −0.214125 | + | 0.214125i | ||||
\(672\) | −0.672474 | − | 2.55886i | −0.0259412 | − | 0.0987103i | ||||
\(673\) | 38.3345 | + | 22.1325i | 1.47769 | + | 0.853144i | 0.999682 | − | 0.0252127i | \(-0.00802631\pi\) |
0.478006 | + | 0.878356i | \(0.341360\pi\) | |||||||
\(674\) | 4.07968 | − | 15.2256i | 0.157144 | − | 0.586468i | ||||
\(675\) | 6.23707 | + | 10.8029i | 0.240065 | + | 0.415805i | ||||
\(676\) | 1.36530 | − | 12.9281i | 0.0525115 | − | 0.497235i | ||||
\(677\) | −28.1133 | − | 16.2312i | −1.08048 | − | 0.623818i | −0.149457 | − | 0.988768i | \(-0.547753\pi\) |
−0.931027 | + | 0.364951i | \(0.881086\pi\) | |||||||
\(678\) | 15.8316 | − | 4.24207i | 0.608009 | − | 0.162916i | ||||
\(679\) | 19.2903 | + | 5.26836i | 0.740292 | + | 0.202181i | ||||
\(680\) | 21.4214 | − | 12.3676i | 0.821473 | − | 0.474278i | ||||
\(681\) | −5.22895 | − | 19.5147i | −0.200374 | − | 0.747805i | ||||
\(682\) | 3.39353 | − | 0.909292i | 0.129945 | − | 0.0348186i | ||||
\(683\) | 21.4370 | − | 5.74402i | 0.820263 | − | 0.219789i | 0.175802 | − | 0.984426i | \(-0.443748\pi\) |
0.644462 | + | 0.764637i | \(0.277082\pi\) | |||||||
\(684\) | −0.639550 | − | 2.38683i | −0.0244538 | − | 0.0912628i | ||||
\(685\) | 53.9068 | − | 31.1231i | 2.05967 | − | 1.18915i | ||||
\(686\) | −5.05096 | + | 17.8182i | −0.192847 | + | 0.680302i | ||||
\(687\) | −1.82487 | + | 0.488972i | −0.0696230 | + | 0.0186554i | ||||
\(688\) | −2.40764 | − | 1.39005i | −0.0917905 | − | 0.0529953i | ||||
\(689\) | 42.9198 | + | 2.26004i | 1.63512 | + | 0.0861005i | ||||
\(690\) | −10.7617 | − | 18.6398i | −0.409691 | − | 0.709606i | ||||
\(691\) | −5.37626 | + | 20.0645i | −0.204522 | + | 0.763288i | 0.785072 | + | 0.619404i | \(0.212626\pi\) |
−0.989595 | + | 0.143884i | \(0.954041\pi\) | |||||||
\(692\) | 13.1669 | + | 7.60190i | 0.500530 | + | 0.288981i | ||||
\(693\) | −1.19051 | + | 1.17912i | −0.0452239 | + | 0.0447910i | ||||
\(694\) | 4.87232 | − | 4.87232i | 0.184951 | − | 0.184951i | ||||
\(695\) | 27.9474 | − | 27.9474i | 1.06011 | − | 1.06011i | ||||
\(696\) | −0.358706 | − | 1.33871i | −0.0135967 | − | 0.0507436i | ||||
\(697\) | 1.93803 | − | 7.23283i | 0.0734082 | − | 0.273963i | ||||
\(698\) | − | 22.6648i | − | 0.857874i | ||||||
\(699\) | −0.193054 | + | 0.334379i | −0.00730198 | + | 0.0126474i | ||||
\(700\) | −0.158705 | + | 33.0031i | −0.00599850 | + | 1.24740i | ||||
\(701\) | 14.0967i | 0.532426i | 0.963914 | + | 0.266213i | \(0.0857725\pi\) | ||||
−0.963914 | + | 0.266213i | \(0.914228\pi\) | |||||||
\(702\) | −2.41192 | − | 2.68005i | −0.0910320 | − | 0.101152i | ||||
\(703\) | −4.82231 | + | 2.78416i | −0.181877 | + | 0.105007i | ||||
\(704\) | 0.447823 | − | 0.447823i | 0.0168780 | − | 0.0168780i | ||||
\(705\) | −12.0274 | + | 6.94400i | −0.452976 | + | 0.261526i | ||||
\(706\) | 0.464302 | + | 0.804194i | 0.0174742 | + | 0.0302662i | ||||
\(707\) | −0.0534394 | + | 11.1128i | −0.00200979 | + | 0.417941i | ||||
\(708\) | −11.6591 | − | 3.12406i | −0.438177 | − | 0.117409i | ||||
\(709\) | 11.3741 | + | 11.3741i | 0.427165 | + | 0.427165i | 0.887661 | − | 0.460497i | \(-0.152329\pi\) |
−0.460497 | + | 0.887661i | \(0.652329\pi\) | |||||||
\(710\) | 62.2082 | + | 16.6686i | 2.33463 | + | 0.625563i | ||||
\(711\) | 0.213699 | − | 0.370137i | 0.00801433 | − | 0.0138812i | ||||
\(712\) | 0.839287 | + | 1.45369i | 0.0314536 | + | 0.0544793i | ||||
\(713\) | −7.39256 | − | 27.5894i | −0.276854 | − | 1.03323i | ||||
\(714\) | −11.1232 | + | 11.0168i | −0.416277 | + | 0.412292i | ||||
\(715\) | 8.50604 | − | 4.33138i | 0.318108 | − | 0.161984i | ||||
\(716\) | 10.3963 | − | 18.0069i | 0.388527 | − | 0.672949i | ||||
\(717\) | −4.60738 | − | 4.60738i | −0.172066 | − | 0.172066i | ||||
\(718\) | −6.49232 | −0.242291 | ||||||||
\(719\) | 52.3571 | 1.95259 | 0.976296 | − | 0.216440i | \(-0.0694446\pi\) | ||||
0.976296 | + | 0.216440i | \(0.0694446\pi\) | |||||||
\(720\) | 2.95585 | + | 2.95585i | 0.110158 | + | 0.110158i | ||||
\(721\) | 3.25371 | + | 1.89945i | 0.121174 | + | 0.0707391i | ||||
\(722\) | −3.33722 | + | 12.4547i | −0.124198 | + | 0.463514i | ||||
\(723\) | −14.4528 | + | 3.87262i | −0.537506 | + | 0.144024i | ||||
\(724\) | −16.9487 | − | 9.78535i | −0.629895 | − | 0.363670i | ||||
\(725\) | 17.2883i | 0.642072i | ||||||||
\(726\) | 10.2378 | + | 2.74320i | 0.379959 | + | 0.101810i | ||||
\(727\) | −14.4888 | −0.537359 | −0.268680 | − | 0.963230i | \(-0.586587\pi\) | ||||
−0.268680 | + | 0.963230i | \(0.586587\pi\) | |||||||
\(728\) | −1.93614 | − | 9.34084i | −0.0717580 | − | 0.346195i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 33.4925 | + | 8.97428i | 1.23961 | + | 0.332153i | ||||
\(731\) | 16.4505i | 0.608445i | ||||||||
\(732\) | −10.7264 | − | 6.19287i | −0.396458 | − | 0.228895i | ||||
\(733\) | −2.32989 | + | 0.624291i | −0.0860563 | + | 0.0230587i | −0.301590 | − | 0.953438i | \(-0.597517\pi\) |
0.215534 | + | 0.976496i | \(0.430851\pi\) | |||||||
\(734\) | −6.73128 | + | 25.1215i | −0.248456 | + | 0.927250i | ||||
\(735\) | −7.30124 | − | 28.3359i | −0.269310 | − | 1.04519i | ||||
\(736\) | −3.64081 | − | 3.64081i | −0.134202 | − | 0.134202i | ||||
\(737\) | −4.02268 | −0.148177 | ||||||||
\(738\) | 1.26545 | 0.0465819 | ||||||||
\(739\) | −24.8592 | − | 24.8592i | −0.914462 | − | 0.914462i | 0.0821576 | − | 0.996619i | \(-0.473819\pi\) |
−0.996619 | + | 0.0821576i | \(0.973819\pi\) | |||||||
\(740\) | 4.70993 | − | 8.15783i | 0.173140 | − | 0.299888i | ||||
\(741\) | −1.85021 | − | 8.71519i | −0.0679690 | − | 0.320161i | ||||
\(742\) | 30.5024 | − | 8.01610i | 1.11978 | − | 0.294280i | ||||
\(743\) | −4.80877 | − | 17.9466i | −0.176417 | − | 0.658396i | −0.996306 | − | 0.0858740i | \(-0.972632\pi\) |
0.819889 | − | 0.572522i | \(-0.194035\pi\) | |||||||
\(744\) | 2.77367 | + | 4.80415i | 0.101688 | + | 0.176129i | ||||
\(745\) | 29.3201 | − | 50.7839i | 1.07420 | − | 1.86058i | ||||
\(746\) | 24.8440 | + | 6.65693i | 0.909603 | + | 0.243727i | ||||
\(747\) | 5.72801 | + | 5.72801i | 0.209577 | + | 0.209577i | ||||
\(748\) | −3.61980 | − | 0.969922i | −0.132353 | − | 0.0354639i | ||||
\(749\) | −25.1746 | + | 14.3736i | −0.919859 | + | 0.525199i | ||||
\(750\) | −15.6217 | − | 27.0577i | −0.570426 | − | 0.988006i | ||||
\(751\) | −13.9680 | + | 8.06445i | −0.509701 | + | 0.294276i | −0.732711 | − | 0.680540i | \(-0.761745\pi\) |
0.223010 | + | 0.974816i | \(0.428412\pi\) | |||||||
\(752\) | −2.34923 | + | 2.34923i | −0.0856678 | + | 0.0856678i | ||||
\(753\) | −13.5662 | + | 7.83244i | −0.494379 | + | 0.285430i | ||||
\(754\) | −1.03773 | − | 4.88811i | −0.0377919 | − | 0.178014i | ||||
\(755\) | 30.7214i | 1.11806i | ||||||||
\(756\) | −2.28490 | − | 1.33388i | −0.0831010 | − | 0.0485127i | ||||
\(757\) | −0.821968 | + | 1.42369i | −0.0298749 | + | 0.0517449i | −0.880576 | − | 0.473904i | \(-0.842844\pi\) |
0.850701 | + | 0.525649i | \(0.176178\pi\) | |||||||
\(758\) | 29.3645i | 1.06657i | ||||||||
\(759\) | −0.843978 | + | 3.14977i | −0.0306345 | + | 0.114329i | ||||
\(760\) | 2.67345 | + | 9.97745i | 0.0969763 | + | 0.361920i | ||||
\(761\) | −37.4447 | + | 37.4447i | −1.35737 | + | 1.35737i | −0.480224 | + | 0.877146i | \(0.659445\pi\) |
−0.877146 | + | 0.480224i | \(0.840555\pi\) | |||||||
\(762\) | −13.0183 | + | 13.0183i | −0.471602 | + | 0.471602i | ||||
\(763\) | −0.809924 | + | 2.96556i | −0.0293212 | + | 0.107360i | ||||
\(764\) | 4.56628 | + | 2.63634i | 0.165202 | + | 0.0953795i | ||||
\(765\) | 6.40196 | − | 23.8925i | 0.231463 | − | 0.863834i | ||||
\(766\) | 6.31661 | + | 10.9407i | 0.228228 | + | 0.395303i | ||||
\(767\) | −41.3872 | − | 13.4589i | −1.49440 | − | 0.485972i | ||||
\(768\) | 0.866025 | + | 0.500000i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | −2.73506 | + | 0.732858i | −0.0986289 | + | 0.0264275i | −0.307796 | − | 0.951452i | \(-0.599591\pi\) |
0.209167 | + | 0.977880i | \(0.432925\pi\) | |||||||
\(770\) | 4.97659 | − | 4.92896i | 0.179344 | − | 0.177627i | ||||
\(771\) | 24.8529 | − | 14.3488i | 0.895055 | − | 0.516760i | ||||
\(772\) | 3.53613 | + | 13.1970i | 0.127268 | + | 0.474971i | ||||
\(773\) | −12.4952 | + | 3.34809i | −0.449422 | + | 0.120422i | −0.476429 | − | 0.879213i | \(-0.658069\pi\) |
0.0270069 | + | 0.999635i | \(0.491402\pi\) | |||||||
\(774\) | −2.68538 | + | 0.719544i | −0.0965238 | + | 0.0258635i | ||||
\(775\) | −17.9099 | − | 66.8406i | −0.643342 | − | 2.40098i | ||||
\(776\) | −6.54547 | + | 3.77903i | −0.234969 | + | 0.135659i | ||||
\(777\) | −1.57077 | + | 5.75140i | −0.0563509 | + | 0.206330i | ||||
\(778\) | −14.0311 | + | 3.75963i | −0.503041 | + | 0.134789i | ||||
\(779\) | 2.70803 | + | 1.56348i | 0.0970254 | + | 0.0560177i | ||||
\(780\) | 10.0823 | + | 11.2032i | 0.361005 | + | 0.401137i | ||||
\(781\) | −4.87863 | − | 8.45003i | −0.174571 | − | 0.302366i | ||||
\(782\) | −7.88548 | + | 29.4290i | −0.281984 | + | 1.05238i | ||||
\(783\) | −1.20025 | − | 0.692966i | −0.0428935 | − | 0.0247646i | ||||
\(784\) | −3.44154 | − | 6.09556i | −0.122912 | − | 0.217699i | ||||
\(785\) | 63.2858 | − | 63.2858i | 2.25877 | − | 2.25877i | ||||
\(786\) | −7.63081 | + | 7.63081i | −0.272182 | + | 0.272182i | ||||
\(787\) | 13.5642 | + | 50.6221i | 0.483510 | + | 1.80448i | 0.586677 | + | 0.809821i | \(0.300436\pi\) |
−0.103167 | + | 0.994664i | \(0.532898\pi\) | |||||||
\(788\) | −3.27692 | + | 12.2296i | −0.116735 | + | 0.435662i | ||||
\(789\) | − | 12.0503i | − | 0.429003i | ||||||
\(790\) | −0.893306 | + | 1.54725i | −0.0317824 | + | 0.0550487i | ||||
\(791\) | 37.6582 | − | 21.5012i | 1.33897 | − | 0.764495i | ||||
\(792\) | − | 0.633318i | − | 0.0225040i | ||||||
\(793\) | −37.4468 | − | 24.3315i | −1.32978 | − | 0.864036i | ||||
\(794\) | −4.67949 | + | 2.70171i | −0.166069 | + | 0.0958800i | ||||
\(795\) | −35.2347 | + | 35.2347i | −1.24965 | + | 1.24965i | ||||
\(796\) | −5.19335 | + | 2.99838i | −0.184073 | + | 0.106275i | ||||
\(797\) | −18.1260 | − | 31.3952i | −0.642057 | − | 1.11208i | −0.984973 | − | 0.172709i | \(-0.944748\pi\) |
0.342916 | − | 0.939366i | \(-0.388585\pi\) | |||||||
\(798\) | −3.24160 | − | 5.67749i | −0.114751 | − | 0.200981i | ||||
\(799\) | 18.9891 | + | 5.08811i | 0.671786 | + | 0.180004i | ||||
\(800\) | −8.82055 | − | 8.82055i | −0.311854 | − | 0.311854i | ||||
\(801\) | 1.62138 | + | 0.434447i | 0.0572886 | + | 0.0153504i | ||||
\(802\) | 2.04897 | − | 3.54892i | 0.0723515 | − | 0.125317i | ||||
\(803\) | −2.62662 | − | 4.54944i | −0.0926914 | − | 0.160546i | ||||
\(804\) | −1.64395 | − | 6.13532i | −0.0579778 | − | 0.216376i | ||||
\(805\) | −40.0725 | − | 40.4598i | −1.41237 | − | 1.42602i | ||||
\(806\) | 9.07595 | + | 17.8235i | 0.319687 | + | 0.627806i | ||||
\(807\) | 0.916594 | − | 1.58759i | 0.0322656 | − | 0.0558857i | ||||
\(808\) | −2.97006 | − | 2.97006i | −0.104486 | − | 0.104486i | ||||
\(809\) | −24.2939 | −0.854127 | −0.427064 | − | 0.904222i | \(-0.640452\pi\) | ||||
−0.427064 | + | 0.904222i | \(0.640452\pi\) | |||||||
\(810\) | 4.18021 | 0.146878 | ||||||||
\(811\) | 14.0616 | + | 14.0616i | 0.493771 | + | 0.493771i | 0.909492 | − | 0.415721i | \(-0.136471\pi\) |
−0.415721 | + | 0.909492i | \(0.636471\pi\) | |||||||
\(812\) | −1.81812 | − | 3.18435i | −0.0638036 | − | 0.111749i | ||||
\(813\) | −3.87999 | + | 14.4803i | −0.136077 | + | 0.507847i | ||||
\(814\) | −1.37852 | + | 0.369372i | −0.0483169 | + | 0.0129465i | ||||
\(815\) | 0.806761 | + | 0.465783i | 0.0282596 | + | 0.0163157i | ||||
\(816\) | − | 5.91724i | − | 0.207145i | ||||||
\(817\) | −6.63564 | − | 1.77801i | −0.232152 | − | 0.0622049i | ||||
\(818\) | −0.124629 | −0.00435754 | ||||||||
\(819\) | −7.97403 | − | 5.23592i | −0.278635 | − | 0.182958i | ||||
\(820\) | −5.28985 | −0.184730 | ||||||||
\(821\) | −25.2559 | − | 6.76730i | −0.881437 | − | 0.236180i | −0.210410 | − | 0.977613i | \(-0.567480\pi\) |
−0.671027 | + | 0.741433i | \(0.734147\pi\) | |||||||
\(822\) | − | 14.8907i | − | 0.519373i | ||||||
\(823\) | 33.0038 | + | 19.0548i | 1.15044 | + | 0.664207i | 0.948994 | − | 0.315293i | \(-0.102103\pi\) |
0.201446 | + | 0.979500i | \(0.435436\pi\) | |||||||
\(824\) | −1.37548 | + | 0.368559i | −0.0479172 | + | 0.0128394i | ||||
\(825\) | −2.04470 | + | 7.63091i | −0.0711872 | + | 0.265674i | ||||
\(826\) | −31.9350 | − | 0.153569i | −1.11116 | − | 0.00534335i | ||||
\(827\) | 5.83374 | + | 5.83374i | 0.202859 | + | 0.202859i | 0.801224 | − | 0.598365i | \(-0.204183\pi\) |
−0.598365 | + | 0.801224i | \(0.704183\pi\) | |||||||
\(828\) | −5.14888 | −0.178936 | ||||||||
\(829\) | −11.3812 | −0.395285 | −0.197643 | − | 0.980274i | \(-0.563329\pi\) | ||||
−0.197643 | + | 0.980274i | \(0.563329\pi\) | |||||||
\(830\) | −23.9443 | − | 23.9443i | −0.831118 | − | 0.831118i | ||||
\(831\) | −2.91497 | + | 5.04887i | −0.101119 | + | 0.175143i | ||||
\(832\) | 3.02338 | + | 1.96448i | 0.104817 | + | 0.0681059i | ||||
\(833\) | −21.0544 | + | 35.6705i | −0.729490 | + | 1.23591i | ||||
\(834\) | −2.44712 | − | 9.13277i | −0.0847368 | − | 0.316242i | ||||
\(835\) | 39.8213 | + | 68.9724i | 1.37807 | + | 2.38689i | ||||
\(836\) | 0.782474 | − | 1.35528i | 0.0270624 | − | 0.0468735i | ||||
\(837\) | 5.35833 | + | 1.43576i | 0.185211 | + | 0.0496271i | ||||
\(838\) | −3.10484 | − | 3.10484i | −0.107255 | − | 0.107255i | ||||
\(839\) | 22.2461 | + | 5.96083i | 0.768021 | + | 0.205791i | 0.621497 | − | 0.783416i | \(-0.286525\pi\) |
0.146524 | + | 0.989207i | \(0.453191\pi\) | |||||||
\(840\) | 9.55136 | + | 5.57589i | 0.329553 | + | 0.192387i | ||||
\(841\) | 13.5396 | + | 23.4513i | 0.466883 | + | 0.808664i | ||||
\(842\) | 27.0894 | − | 15.6401i | 0.933563 | − | 0.538993i | ||||
\(843\) | −17.7789 | + | 17.7789i | −0.612338 | + | 0.612338i | ||||
\(844\) | 18.2895 | − | 10.5594i | 0.629549 | − | 0.363470i | ||||
\(845\) | 34.1780 | + | 42.2492i | 1.17576 | + | 1.45342i | ||||
\(846\) | 3.32232i | 0.114224i | ||||||||
\(847\) | 28.0418 | + | 0.134847i | 0.963526 | + | 0.00463340i | ||||
\(848\) | −5.96016 | + | 10.3233i | −0.204673 | + | 0.354503i | ||||
\(849\) | 13.7870i | 0.473167i | ||||||||
\(850\) | −19.1041 | + | 71.2974i | −0.655264 | + | 2.44548i | ||||
\(851\) | 3.00300 | + | 11.2073i | 0.102942 | + | 0.384183i | ||||
\(852\) | 10.8941 | − | 10.8941i | 0.373225 | − | 0.373225i | ||||
\(853\) | 23.4705 | − | 23.4705i | 0.803613 | − | 0.803613i | −0.180045 | − | 0.983658i | \(-0.557624\pi\) |
0.983658 | + | 0.180045i | \(0.0576244\pi\) | |||||||
\(854\) | −31.6118 | − | 8.63351i | −1.08173 | − | 0.295433i | ||||
\(855\) | 8.94554 | + | 5.16471i | 0.305931 | + | 0.176629i | ||||
\(856\) | 2.83583 | − | 10.5834i | 0.0969265 | − | 0.361735i | ||||
\(857\) | −9.42125 | − | 16.3181i | −0.321824 | − | 0.557415i | 0.659041 | − | 0.752107i | \(-0.270962\pi\) |
−0.980864 | + | 0.194692i | \(0.937629\pi\) | |||||||
\(858\) | 0.120074 | − | 2.28030i | 0.00409926 | − | 0.0778482i | ||||
\(859\) | 25.2668 | + | 14.5878i | 0.862094 | + | 0.497730i | 0.864713 | − | 0.502267i | \(-0.167500\pi\) |
−0.00261917 | + | 0.999997i | \(0.500834\pi\) | |||||||
\(860\) | 11.2254 | − | 3.00784i | 0.382784 | − | 0.102567i | ||||
\(861\) | 3.23812 | − | 0.850983i | 0.110355 | − | 0.0290014i | ||||
\(862\) | 9.92121 | − | 5.72801i | 0.337918 | − | 0.195097i | ||||
\(863\) | −6.37398 | − | 23.7880i | −0.216973 | − | 0.809753i | −0.985463 | − | 0.169892i | \(-0.945658\pi\) |
0.768490 | − | 0.639862i | \(-0.221008\pi\) | |||||||
\(864\) | 0.965926 | − | 0.258819i | 0.0328615 | − | 0.00880520i | ||||
\(865\) | −61.3895 | + | 16.4493i | −2.08730 | + | 0.559292i | ||||
\(866\) | −3.07806 | − | 11.4875i | −0.104597 | − | 0.390361i | ||||
\(867\) | −15.6003 | + | 9.00685i | −0.529815 | + | 0.305889i | ||||
\(868\) | 10.3281 | + | 10.4279i | 0.350559 | + | 0.353947i | ||||
\(869\) | 0.261455 | − | 0.0700568i | 0.00886927 | − | 0.00237651i | ||||
\(870\) | 5.01730 | + | 2.89674i | 0.170103 | + | 0.0982088i | ||||
\(871\) | −4.75593 | − | 22.4023i | −0.161149 | − | 0.759072i | ||||
\(872\) | −0.580963 | − | 1.00626i | −0.0196739 | − | 0.0340762i | ||||
\(873\) | −1.95617 | + | 7.30052i | −0.0662063 | + | 0.247085i | ||||
\(874\) | −11.0185 | − | 6.36152i | −0.372706 | − | 0.215182i | ||||
\(875\) | −58.1695 | − | 58.7316i | −1.96649 | − | 1.98549i | ||||
\(876\) | 5.86530 | − | 5.86530i | 0.198170 | − | 0.198170i | ||||
\(877\) | 21.8313 | − | 21.8313i | 0.737191 | − | 0.737191i | −0.234843 | − | 0.972033i | \(-0.575457\pi\) |
0.972033 | + | 0.234843i | \(0.0754575\pi\) | |||||||
\(878\) | −2.23096 | − | 8.32604i | −0.0752911 | − | 0.280990i | ||||
\(879\) | 0.821170 | − | 3.06465i | 0.0276974 | − | 0.103368i | ||||
\(880\) | 2.64740i | 0.0892439i | ||||||||
\(881\) | 10.9949 | − | 19.0437i | 0.370428 | − | 0.641600i | −0.619203 | − | 0.785231i | \(-0.712544\pi\) |
0.989631 | + | 0.143631i | \(0.0458777\pi\) | |||||||
\(882\) | −6.74374 | − | 1.87668i | −0.227074 | − | 0.0631910i | ||||
\(883\) | − | 4.16764i | − | 0.140252i | −0.997538 | − | 0.0701262i | \(-0.977660\pi\) | ||
0.997538 | − | 0.0701262i | \(-0.0223402\pi\) | |||||||
\(884\) | 1.12188 | − | 21.3054i | 0.0377329 | − | 0.716578i | ||||
\(885\) | 43.6970 | − | 25.2285i | 1.46886 | − | 0.848045i | ||||
\(886\) | 5.97414 | − | 5.97414i | 0.200705 | − | 0.200705i | ||||
\(887\) | −38.4314 | + | 22.1884i | −1.29040 | + | 0.745013i | −0.978725 | − | 0.205176i | \(-0.934223\pi\) |
−0.311675 | + | 0.950189i | \(0.600890\pi\) | |||||||
\(888\) | −1.12672 | − | 1.95154i | −0.0378103 | − | 0.0654893i | ||||
\(889\) | −24.5575 | + | 42.0664i | −0.823633 | + | 1.41086i | ||||
\(890\) | −6.77770 | − | 1.81608i | −0.227189 | − | 0.0608751i | ||||
\(891\) | −0.447823 | − | 0.447823i | −0.0150026 | − | 0.0150026i | ||||
\(892\) | 18.8580 | + | 5.05298i | 0.631412 | + | 0.169186i | ||||
\(893\) | −4.10478 | + | 7.10968i | −0.137361 | + | 0.237916i | ||||
\(894\) | −7.01402 | − | 12.1486i | −0.234584 | − | 0.406311i | ||||
\(895\) | 22.4958 | + | 83.9556i | 0.751953 | + | 2.80633i | ||||
\(896\) | 2.55228 | + | 0.697052i | 0.0852656 | + | 0.0232869i | ||||
\(897\) | −18.5389 | − | 0.976204i | −0.618995 | − | 0.0325945i | ||||
\(898\) | 4.49887 | − | 7.79227i | 0.150129 | − | 0.260032i | ||||
\(899\) | 5.43641 | + | 5.43641i | 0.181315 | + | 0.181315i | ||||
\(900\) | −12.4741 | −0.415805 | ||||||||
\(901\) | 70.5353 | 2.34987 | ||||||||
\(902\) | 0.566699 | + | 0.566699i | 0.0188690 | + | 0.0188690i | ||||
\(903\) | −6.38763 | + | 3.64706i | −0.212567 | + | 0.121367i | ||||
\(904\) | −4.24207 | + | 15.8316i | −0.141089 | + | 0.526551i | ||||
\(905\) | 79.0221 | − | 21.1739i | 2.62678 | − | 0.703844i | ||||
\(906\) | 6.36463 | + | 3.67462i | 0.211451 | + | 0.122081i | ||||
\(907\) | 8.91779i | 0.296110i | 0.988979 | + | 0.148055i | \(0.0473013\pi\) | ||||
−0.988979 | + | 0.148055i | \(0.952699\pi\) | |||||||
\(908\) | 19.5147 | + | 5.22895i | 0.647618 | + | 0.173529i | ||||
\(909\) | −4.20030 | −0.139315 | ||||||||
\(910\) | 33.3331 | + | 21.8872i | 1.10498 | + | 0.725555i | ||||
\(911\) | −28.1929 | −0.934072 | −0.467036 | − | 0.884238i | \(-0.654678\pi\) | ||||
−0.467036 | + | 0.884238i | \(0.654678\pi\) | |||||||
\(912\) | 2.38683 | + | 0.639550i | 0.0790359 | + | 0.0211776i | ||||
\(913\) | 5.13028i | 0.169787i | ||||||||
\(914\) | −16.0432 | − | 9.26253i | −0.530661 | − | 0.306377i | ||||
\(915\) | 50.0108 | − | 13.4004i | 1.65331 | − | 0.443002i | ||||
\(916\) | 0.488972 | − | 1.82487i | 0.0161561 | − | 0.0602953i | ||||
\(917\) | −14.3947 | + | 24.6577i | −0.475354 | + | 0.814269i | ||||
\(918\) | −4.18412 | − | 4.18412i | −0.138096 | − | 0.138096i | ||||
\(919\) | −11.1928 | −0.369216 | −0.184608 | − | 0.982812i | \(-0.559102\pi\) | ||||
−0.184608 | + | 0.982812i | \(0.559102\pi\) | |||||||
\(920\) | 21.5234 | 0.709606 | ||||||||
\(921\) | 10.5351 | + | 10.5351i | 0.347144 | + | 0.347144i | ||||
\(922\) | −20.8523 | + | 36.1173i | −0.686735 | + | 1.18946i | ||||
\(923\) | 41.2903 | − | 37.1594i | 1.35909 | − | 1.22312i | ||||
\(924\) | −0.425890 | − | 1.62057i | −0.0140107 | − | 0.0533130i | ||||
\(925\) | 7.27534 | + | 27.1519i | 0.239212 | + | 0.892750i | ||||
\(926\) | 8.99080 | + | 15.5725i | 0.295456 | + | 0.511745i | ||||
\(927\) | −0.712002 | + | 1.23322i | −0.0233852 | + | 0.0405044i | ||||
\(928\) | 1.33871 | + | 0.358706i | 0.0439452 | + | 0.0117751i | ||||
\(929\) | 15.5378 | + | 15.5378i | 0.509778 | + | 0.509778i | 0.914458 | − | 0.404680i | \(-0.132617\pi\) |
−0.404680 | + | 0.914458i | \(0.632617\pi\) | |||||||
\(930\) | −22.3989 | − | 6.00178i | −0.734490 | − | 0.196806i | ||||
\(931\) | −12.1128 | − | 12.3480i | −0.396980 | − | 0.404691i | ||||
\(932\) | −0.193054 | − | 0.334379i | −0.00632370 | − | 0.0109530i | ||||
\(933\) | 28.8977 | − | 16.6841i | 0.946069 | − | 0.546213i | ||||
\(934\) | 0.593861 | − | 0.593861i | 0.0194317 | − | 0.0194317i | ||||
\(935\) | 13.5665 | − | 7.83265i | 0.443674 | − | 0.256155i | ||||
\(936\) | 3.52695 | − | 0.748759i | 0.115282 | − | 0.0244740i | ||||
\(937\) | 26.1389i | 0.853920i | 0.904270 | + | 0.426960i | \(0.140416\pi\) | ||||
−0.904270 | + | 0.426960i | \(0.859584\pi\) | |||||||
\(938\) | −8.33249 | − | 14.5939i | −0.272065 | − | 0.476508i | ||||
\(939\) | 0.996161 | − | 1.72540i | 0.0325085 | − | 0.0563063i | ||||
\(940\) | − | 13.8880i | − | 0.452976i | ||||||
\(941\) | −1.86336 | + | 6.95414i | −0.0607437 | + | 0.226699i | −0.989624 | − | 0.143682i | \(-0.954106\pi\) |
0.928880 | + | 0.370380i | \(0.120773\pi\) | |||||||
\(942\) | −5.54140 | − | 20.6808i | −0.180549 | − | 0.673816i | ||||
\(943\) | 4.60727 | − | 4.60727i | 0.150033 | − | 0.150033i | ||||
\(944\) | 8.53508 | − | 8.53508i | 0.277793 | − | 0.277793i | ||||
\(945\) | 10.6966 | − | 2.81108i | 0.347960 | − | 0.0914445i | ||||
\(946\) | −1.52480 | − | 0.880345i | −0.0495756 | − | 0.0286225i | ||||
\(947\) | 2.69653 | − | 10.0636i | 0.0876255 | − | 0.327023i | −0.908173 | − | 0.418595i | \(-0.862523\pi\) |
0.995798 | + | 0.0915724i | \(0.0291893\pi\) | |||||||
\(948\) | 0.213699 | + | 0.370137i | 0.00694061 | + | 0.0120215i | ||||
\(949\) | 22.2304 | − | 20.0064i | 0.721630 | − | 0.649434i | ||||
\(950\) | −26.6944 | − | 15.4120i | −0.866079 | − | 0.500031i | ||||
\(951\) | 20.4735 | − | 5.48586i | 0.663898 | − | 0.177891i | ||||
\(952\) | −3.97919 | − | 15.1414i | −0.128966 | − | 0.490736i | ||||
\(953\) | 12.2353 | − | 7.06405i | 0.396340 | − | 0.228827i | −0.288563 | − | 0.957461i | \(-0.593178\pi\) |
0.684904 | + | 0.728634i | \(0.259844\pi\) | |||||||
\(954\) | 3.08520 | + | 11.5141i | 0.0998872 | + | 0.372784i | ||||
\(955\) | −21.2899 | + | 5.70461i | −0.688925 | + | 0.184597i | ||||
\(956\) | 6.29380 | − | 1.68642i | 0.203556 | − | 0.0545427i | ||||
\(957\) | −0.227175 | − | 0.847827i | −0.00734351 | − | 0.0274064i | ||||
\(958\) | 21.5049 | − | 12.4159i | 0.694792 | − | 0.401138i | ||||
\(959\) | −10.0136 | − | 38.1033i | −0.323356 | − | 1.23042i | ||||
\(960\) | −4.03777 | + | 1.08192i | −0.130319 | + | 0.0349187i | ||||
\(961\) | 0.196509 | + | 0.113454i | 0.00633899 | + | 0.00365982i | ||||
\(962\) | −3.68682 | − | 7.24025i | −0.118868 | − | 0.233435i | ||||
\(963\) | −5.47839 | − | 9.48886i | −0.176539 | − | 0.305774i | ||||
\(964\) | 3.87262 | − | 14.4528i | 0.124729 | − | 0.465494i | ||||
\(965\) | −49.4608 | − | 28.5562i | −1.59220 | − | 0.919256i | ||||
\(966\) | −13.1753 | + | 3.46249i | −0.423908 | + | 0.111404i | ||||
\(967\) | 6.47081 | − | 6.47081i | 0.208087 | − | 0.208087i | −0.595367 | − | 0.803454i | \(-0.702993\pi\) |
0.803454 | + | 0.595367i | \(0.202993\pi\) | |||||||
\(968\) | −7.49456 | + | 7.49456i | −0.240884 | + | 0.240884i | ||||
\(969\) | −3.78437 | − | 14.1234i | −0.121571 | − | 0.453711i | ||||
\(970\) | 8.17720 | − | 30.5177i | 0.262554 | − | 0.979865i | ||||
\(971\) | 12.8612i | 0.412736i | 0.978474 | + | 0.206368i | \(0.0661644\pi\) | ||||
−0.978474 | + | 0.206368i | \(0.933836\pi\) | |||||||
\(972\) | 0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | ||||
\(973\) | −12.4034 | − | 21.7239i | −0.397635 | − | 0.696436i | ||||
\(974\) | − | 37.5994i | − | 1.20476i | ||||||
\(975\) | −44.9140 | − | 2.36504i | −1.43840 | − | 0.0757419i | ||||
\(976\) | 10.7264 | − | 6.19287i | 0.343343 | − | 0.198229i | ||||
\(977\) | 12.0821 | − | 12.0821i | 0.386540 | − | 0.386540i | −0.486911 | − | 0.873451i | \(-0.661877\pi\) |
0.873451 | + | 0.486911i | \(0.161877\pi\) | |||||||
\(978\) | 0.192995 | − | 0.111426i | 0.00617131 | − | 0.00356301i | ||||
\(979\) | 0.531536 | + | 0.920647i | 0.0169880 | + | 0.0294240i | ||||
\(980\) | 28.1903 | + | 7.84490i | 0.900505 | + | 0.250596i | ||||
\(981\) | −1.12234 | − | 0.300729i | −0.0358334 | − | 0.00960153i | ||||
\(982\) | 16.3828 | + | 16.3828i | 0.522795 | + | 0.522795i | ||||
\(983\) | 40.0769 | + | 10.7386i | 1.27826 | + | 0.342507i | 0.833188 | − | 0.552990i | \(-0.186513\pi\) |
0.445067 | + | 0.895497i | \(0.353180\pi\) | |||||||
\(984\) | −0.632726 | + | 1.09591i | −0.0201706 | + | 0.0349364i | ||||
\(985\) | −26.4629 | − | 45.8351i | −0.843178 | − | 1.46043i | ||||
\(986\) | −2.12255 | − | 7.92145i | −0.0675956 | − | 0.252270i | ||||
\(987\) | 2.23417 | + | 8.50136i | 0.0711145 | + | 0.270601i | ||||
\(988\) | 8.47268 | + | 2.75527i | 0.269552 | + | 0.0876568i | ||||
\(989\) | −7.15722 | + | 12.3967i | −0.227586 | + | 0.394191i | ||||
\(990\) | 1.87200 | + | 1.87200i | 0.0594959 | + | 0.0594959i | ||||
\(991\) | −20.0390 | −0.636559 | −0.318280 | − | 0.947997i | \(-0.603105\pi\) | ||||
−0.318280 | + | 0.947997i | \(0.603105\pi\) | |||||||
\(992\) | −5.54735 | −0.176129 | ||||||||
\(993\) | −6.63821 | − | 6.63821i | −0.210657 | − | 0.210657i | ||||
\(994\) | 20.5505 | − | 35.2025i | 0.651822 | − | 1.11655i | ||||
\(995\) | 6.48800 | − | 24.2135i | 0.205683 | − | 0.767621i | ||||
\(996\) | −7.82461 | + | 2.09660i | −0.247932 | + | 0.0664333i | ||||
\(997\) | 12.5168 | + | 7.22659i | 0.396411 | + | 0.228868i | 0.684934 | − | 0.728605i | \(-0.259831\pi\) |
−0.288523 | + | 0.957473i | \(0.593164\pi\) | |||||||
\(998\) | − | 19.7904i | − | 0.626455i | ||||||
\(999\) | −2.17666 | − | 0.583233i | −0.0688664 | − | 0.0184527i |
(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 | 546.2.by.b.19.1 | ✓ | 40 | |
7.3 | odd | 6 | 546.2.cg.b.409.6 | yes | 40 | ||
13.11 | odd | 12 | 546.2.cg.b.271.6 | yes | 40 | ||
91.24 | even | 12 | inner | 546.2.by.b.115.1 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.1 | ✓ | 40 | 1.1 | even | 1 | trivial | |
546.2.by.b.115.1 | yes | 40 | 91.24 | even | 12 | inner | |
546.2.cg.b.271.6 | yes | 40 | 13.11 | odd | 12 | ||
546.2.cg.b.409.6 | yes | 40 | 7.3 | odd | 6 |