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 | 19.6 | ||
Character | \(\chi\) | \(=\) | 546.19 |
Dual form | 546.2.by.b.115.6 |
$q$-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 | ||||
\(5\) | −3.15172 | + | 0.844500i | −1.40949 | + | 0.377672i | −0.881743 | − | 0.471729i | \(-0.843630\pi\) |
−0.527747 | + | 0.849401i | \(0.676963\pi\) | |||||||
\(6\) | 0.258819 | − | 0.965926i | 0.105662 | − | 0.394338i | ||||
\(7\) | −2.64535 | − | 0.0462630i | −0.999847 | − | 0.0174858i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −3.26290 | −1.03182 | ||||||||
\(11\) | −0.954682 | − | 0.954682i | −0.287847 | − | 0.287847i | 0.548381 | − | 0.836229i | \(-0.315244\pi\) |
−0.836229 | + | 0.548381i | \(0.815244\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −3.41301 | + | 1.16248i | −0.946599 | + | 0.322413i | ||||
\(14\) | −2.54324 | − | 0.729353i | −0.679708 | − | 0.194928i | ||||
\(15\) | 0.844500 | + | 3.15172i | 0.218049 | + | 0.813770i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.17710 | + | 2.03880i | −0.285488 | + | 0.494480i | −0.972728 | − | 0.231951i | \(-0.925489\pi\) |
0.687239 | + | 0.726431i | \(0.258822\pi\) | |||||||
\(18\) | −0.965926 | − | 0.258819i | −0.227671 | − | 0.0610042i | ||||
\(19\) | −3.26997 | − | 3.26997i | −0.750183 | − | 0.750183i | 0.224331 | − | 0.974513i | \(-0.427980\pi\) |
−0.974513 | + | 0.224331i | \(0.927980\pi\) | |||||||
\(20\) | −3.15172 | − | 0.844500i | −0.704745 | − | 0.188836i | ||||
\(21\) | −0.0462630 | + | 2.64535i | −0.0100954 | + | 0.577262i | ||||
\(22\) | −0.675062 | − | 1.16924i | −0.143924 | − | 0.249283i | ||||
\(23\) | 0.786006 | − | 0.453801i | 0.163894 | − | 0.0946240i | −0.415810 | − | 0.909452i | \(-0.636502\pi\) |
0.579703 | + | 0.814828i | \(0.303168\pi\) | |||||||
\(24\) | 0.707107 | − | 0.707107i | 0.144338 | − | 0.144338i | ||||
\(25\) | 4.89002 | − | 2.82325i | 0.978003 | − | 0.564650i | ||||
\(26\) | −3.59759 | + | 0.239513i | −0.705545 | + | 0.0469724i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −2.26781 | − | 1.36274i | −0.428575 | − | 0.257533i | ||||
\(29\) | −4.41535 | + | 7.64762i | −0.819911 | + | 1.42013i | 0.0858368 | + | 0.996309i | \(0.472644\pi\) |
−0.905747 | + | 0.423818i | \(0.860690\pi\) | |||||||
\(30\) | 3.26290i | 0.595721i | ||||||||
\(31\) | 0.496285 | − | 1.85216i | 0.0891353 | − | 0.332658i | −0.906930 | − | 0.421282i | \(-0.861580\pi\) |
0.996065 | + | 0.0886242i | \(0.0282470\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −0.954682 | + | 0.954682i | −0.166189 | + | 0.166189i | ||||
\(34\) | −1.66467 | + | 1.66467i | −0.285488 | + | 0.285488i | ||||
\(35\) | 8.37645 | − | 2.08819i | 1.41588 | − | 0.352968i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | 2.95086 | − | 11.0128i | 0.485119 | − | 1.81049i | −0.0944072 | − | 0.995534i | \(-0.530096\pi\) |
0.579526 | − | 0.814954i | \(-0.303238\pi\) | |||||||
\(38\) | −2.31222 | − | 4.00488i | −0.375091 | − | 0.649677i | ||||
\(39\) | 1.16248 | + | 3.41301i | 0.186145 | + | 0.546519i | ||||
\(40\) | −2.82575 | − | 1.63145i | −0.446791 | − | 0.257955i | ||||
\(41\) | −2.56627 | + | 0.687631i | −0.400785 | + | 0.107390i | −0.453580 | − | 0.891215i | \(-0.649853\pi\) |
0.0527957 | + | 0.998605i | \(0.483187\pi\) | |||||||
\(42\) | −0.729353 | + | 2.54324i | −0.112542 | + | 0.392430i | ||||
\(43\) | −1.72993 | + | 0.998773i | −0.263811 | + | 0.152311i | −0.626072 | − | 0.779765i | \(-0.715338\pi\) |
0.362261 | + | 0.932077i | \(0.382005\pi\) | |||||||
\(44\) | −0.349438 | − | 1.30412i | −0.0526797 | − | 0.196603i | ||||
\(45\) | 3.15172 | − | 0.844500i | 0.469830 | − | 0.125891i | ||||
\(46\) | 0.876676 | − | 0.234905i | 0.129259 | − | 0.0346348i | ||||
\(47\) | 1.88337 | + | 7.02882i | 0.274717 | + | 1.02526i | 0.956031 | + | 0.293267i | \(0.0947424\pi\) |
−0.681313 | + | 0.731992i | \(0.738591\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | 6.99572 | + | 0.244763i | 0.999388 | + | 0.0349662i | ||||
\(50\) | 5.45410 | − | 1.46142i | 0.771327 | − | 0.206676i | ||||
\(51\) | 2.03880 | + | 1.17710i | 0.285488 | + | 0.164827i | ||||
\(52\) | −3.53699 | − | 0.699772i | −0.490493 | − | 0.0970410i | ||||
\(53\) | 3.56317 | + | 6.17160i | 0.489439 | + | 0.847734i | 0.999926 | − | 0.0121516i | \(-0.00386808\pi\) |
−0.510487 | + | 0.859886i | \(0.670535\pi\) | |||||||
\(54\) | −0.258819 | + | 0.965926i | −0.0352208 | + | 0.131446i | ||||
\(55\) | 3.81512 | + | 2.20266i | 0.514430 | + | 0.297006i | ||||
\(56\) | −1.83783 | − | 1.90326i | −0.245590 | − | 0.254333i | ||||
\(57\) | −3.26997 | + | 3.26997i | −0.433118 | + | 0.433118i | ||||
\(58\) | −6.24425 | + | 6.24425i | −0.819911 | + | 0.819911i | ||||
\(59\) | −1.55838 | − | 5.81596i | −0.202884 | − | 0.757174i | −0.990084 | − | 0.140476i | \(-0.955137\pi\) |
0.787200 | − | 0.616698i | \(-0.211530\pi\) | |||||||
\(60\) | −0.844500 | + | 3.15172i | −0.109024 | + | 0.406885i | ||||
\(61\) | 0.730890i | 0.0935808i | 0.998905 | + | 0.0467904i | \(0.0148993\pi\) | ||||
−0.998905 | + | 0.0467904i | \(0.985101\pi\) | |||||||
\(62\) | 0.958748 | − | 1.66060i | 0.121761 | − | 0.210896i | ||||
\(63\) | 2.64535 | + | 0.0462630i | 0.333282 | + | 0.00582859i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 9.77514 | − | 6.54608i | 1.21246 | − | 0.811942i | ||||
\(66\) | −1.16924 | + | 0.675062i | −0.143924 | + | 0.0830944i | ||||
\(67\) | 8.73152 | − | 8.73152i | 1.06673 | − | 1.06673i | 0.0691170 | − | 0.997609i | \(-0.477982\pi\) |
0.997609 | − | 0.0691170i | \(-0.0220182\pi\) | |||||||
\(68\) | −2.03880 | + | 1.17710i | −0.247240 | + | 0.142744i | ||||
\(69\) | −0.453801 | − | 0.786006i | −0.0546312 | − | 0.0946240i | ||||
\(70\) | 8.63150 | + | 0.150951i | 1.03166 | + | 0.0180422i | ||||
\(71\) | −2.14989 | − | 0.576061i | −0.255145 | − | 0.0683659i | 0.128979 | − | 0.991647i | \(-0.458830\pi\) |
−0.384124 | + | 0.923281i | \(0.625497\pi\) | |||||||
\(72\) | −0.707107 | − | 0.707107i | −0.0833333 | − | 0.0833333i | ||||
\(73\) | −6.21032 | − | 1.66405i | −0.726863 | − | 0.194762i | −0.123631 | − | 0.992328i | \(-0.539454\pi\) |
−0.603232 | + | 0.797566i | \(0.706121\pi\) | |||||||
\(74\) | 5.70063 | − | 9.87378i | 0.662684 | − | 1.14780i | ||||
\(75\) | −2.82325 | − | 4.89002i | −0.326001 | − | 0.564650i | ||||
\(76\) | −1.19689 | − | 4.46686i | −0.137293 | − | 0.512384i | ||||
\(77\) | 2.48130 | + | 2.56963i | 0.282770 | + | 0.292837i | ||||
\(78\) | 0.239513 | + | 3.59759i | 0.0271195 | + | 0.407347i | ||||
\(79\) | −6.18489 | + | 10.7125i | −0.695854 | + | 1.20525i | 0.274038 | + | 0.961719i | \(0.411641\pi\) |
−0.969892 | + | 0.243536i | \(0.921693\pi\) | |||||||
\(80\) | −2.30722 | − | 2.30722i | −0.257955 | − | 0.257955i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −2.65680 | −0.293395 | ||||||||
\(83\) | −2.48034 | − | 2.48034i | −0.272253 | − | 0.272253i | 0.557754 | − | 0.830007i | \(-0.311663\pi\) |
−0.830007 | + | 0.557754i | \(0.811663\pi\) | |||||||
\(84\) | −1.36274 | + | 2.26781i | −0.148687 | + | 0.247438i | ||||
\(85\) | 1.98812 | − | 7.41977i | 0.215642 | − | 0.804787i | ||||
\(86\) | −1.92948 | + | 0.517003i | −0.208061 | + | 0.0557498i | ||||
\(87\) | 7.64762 | + | 4.41535i | 0.819911 | + | 0.473376i | ||||
\(88\) | − | 1.35012i | − | 0.143924i | ||||||
\(89\) | −4.45779 | − | 1.19446i | −0.472525 | − | 0.126613i | 0.0146949 | − | 0.999892i | \(-0.495322\pi\) |
−0.487220 | + | 0.873279i | \(0.661989\pi\) | |||||||
\(90\) | 3.26290 | 0.343940 | ||||||||
\(91\) | 9.08238 | − | 2.91726i | 0.952092 | − | 0.305811i | ||||
\(92\) | 0.907601 | 0.0946240 | ||||||||
\(93\) | −1.85216 | − | 0.496285i | −0.192060 | − | 0.0514623i | ||||
\(94\) | 7.27677i | 0.750541i | ||||||||
\(95\) | 13.0675 | + | 7.54453i | 1.34070 | + | 0.774053i | ||||
\(96\) | 0.965926 | − | 0.258819i | 0.0985844 | − | 0.0264156i | ||||
\(97\) | −2.33821 | + | 8.72634i | −0.237410 | + | 0.886025i | 0.739638 | + | 0.673005i | \(0.234997\pi\) |
−0.977048 | + | 0.213020i | \(0.931670\pi\) | |||||||
\(98\) | 6.69400 | + | 2.04705i | 0.676196 | + | 0.206783i | ||||
\(99\) | 0.954682 | + | 0.954682i | 0.0959491 | + | 0.0959491i | ||||
\(100\) | 5.64650 | 0.564650 | ||||||||
\(101\) | −14.8000 | −1.47266 | −0.736329 | − | 0.676624i | \(-0.763442\pi\) | ||||
−0.736329 | + | 0.676624i | \(0.763442\pi\) | |||||||
\(102\) | 1.66467 | + | 1.66467i | 0.164827 | + | 0.164827i | ||||
\(103\) | 7.77373 | − | 13.4645i | 0.765969 | − | 1.32670i | −0.173764 | − | 0.984787i | \(-0.555593\pi\) |
0.939733 | − | 0.341910i | \(-0.111074\pi\) | |||||||
\(104\) | −3.23536 | − | 1.59137i | −0.317253 | − | 0.156047i | ||||
\(105\) | −2.08819 | − | 8.37645i | −0.203786 | − | 0.817458i | ||||
\(106\) | 1.84443 | + | 6.88352i | 0.179147 | + | 0.668587i | ||||
\(107\) | −4.31566 | − | 7.47494i | −0.417210 | − | 0.722630i | 0.578447 | − | 0.815720i | \(-0.303659\pi\) |
−0.995658 | + | 0.0930901i | \(0.970326\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | −13.9717 | − | 3.74371i | −1.33825 | − | 0.358582i | −0.482463 | − | 0.875916i | \(-0.660258\pi\) |
−0.855784 | + | 0.517334i | \(0.826924\pi\) | |||||||
\(110\) | 3.11503 | + | 3.11503i | 0.297006 | + | 0.297006i | ||||
\(111\) | −11.0128 | − | 2.95086i | −1.04529 | − | 0.280083i | ||||
\(112\) | −1.28261 | − | 2.31407i | −0.121195 | − | 0.218659i | ||||
\(113\) | 1.28971 | + | 2.23384i | 0.121326 | + | 0.210142i | 0.920291 | − | 0.391235i | \(-0.127952\pi\) |
−0.798965 | + | 0.601378i | \(0.794619\pi\) | |||||||
\(114\) | −4.00488 | + | 2.31222i | −0.375091 | + | 0.216559i | ||||
\(115\) | −2.09403 | + | 2.09403i | −0.195270 | + | 0.195270i | ||||
\(116\) | −7.64762 | + | 4.41535i | −0.710063 | + | 0.409955i | ||||
\(117\) | 3.41301 | − | 1.16248i | 0.315533 | − | 0.107471i | ||||
\(118\) | − | 6.02113i | − | 0.554290i | ||||||
\(119\) | 3.20816 | − | 5.33886i | 0.294091 | − | 0.489413i | ||||
\(120\) | −1.63145 | + | 2.82575i | −0.148930 | + | 0.257955i | ||||
\(121\) | − | 9.17716i | − | 0.834288i | ||||||
\(122\) | −0.189168 | + | 0.705985i | −0.0171265 | + | 0.0639169i | ||||
\(123\) | 0.687631 | + | 2.56627i | 0.0620016 | + | 0.231393i | ||||
\(124\) | 1.35587 | − | 1.35587i | 0.121761 | − | 0.121761i | ||||
\(125\) | −1.49162 | + | 1.49162i | −0.133415 | + | 0.133415i | ||||
\(126\) | 2.54324 | + | 0.729353i | 0.226569 | + | 0.0649759i | ||||
\(127\) | 8.75703 | + | 5.05587i | 0.777061 | + | 0.448636i | 0.835388 | − | 0.549661i | \(-0.185243\pi\) |
−0.0583269 | + | 0.998298i | \(0.518577\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 0.998773 | + | 1.72993i | 0.0879370 | + | 0.152311i | ||||
\(130\) | 11.1363 | − | 3.79304i | 0.976719 | − | 0.332672i | ||||
\(131\) | 14.4605 | + | 8.34878i | 1.26342 | + | 0.729436i | 0.973735 | − | 0.227686i | \(-0.0731159\pi\) |
0.289686 | + | 0.957122i | \(0.406449\pi\) | |||||||
\(132\) | −1.30412 | + | 0.349438i | −0.113509 | + | 0.0304147i | ||||
\(133\) | 8.49893 | + | 8.80148i | 0.736950 | + | 0.763185i | ||||
\(134\) | 10.6939 | − | 6.17412i | 0.923811 | − | 0.533363i | ||||
\(135\) | −0.844500 | − | 3.15172i | −0.0726830 | − | 0.271257i | ||||
\(136\) | −2.27398 | + | 0.609311i | −0.194992 | + | 0.0522480i | ||||
\(137\) | 4.58235 | − | 1.22784i | 0.391497 | − | 0.104901i | −0.0577003 | − | 0.998334i | \(-0.518377\pi\) |
0.449197 | + | 0.893433i | \(0.351710\pi\) | |||||||
\(138\) | −0.234905 | − | 0.876676i | −0.0199964 | − | 0.0746276i | ||||
\(139\) | −6.60535 | + | 3.81360i | −0.560258 | + | 0.323465i | −0.753249 | − | 0.657735i | \(-0.771515\pi\) |
0.192991 | + | 0.981201i | \(0.438181\pi\) | |||||||
\(140\) | 8.29832 | + | 2.37980i | 0.701336 | + | 0.201130i | ||||
\(141\) | 7.02882 | − | 1.88337i | 0.591933 | − | 0.158608i | ||||
\(142\) | −1.92754 | − | 1.11287i | −0.161755 | − | 0.0933896i | ||||
\(143\) | 4.36814 | + | 2.14855i | 0.365282 | + | 0.179670i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 7.45753 | − | 27.8319i | 0.619315 | − | 2.31131i | ||||
\(146\) | −5.56802 | − | 3.21470i | −0.460813 | − | 0.266050i | ||||
\(147\) | 0.244763 | − | 6.99572i | 0.0201877 | − | 0.576997i | ||||
\(148\) | 8.06190 | − | 8.06190i | 0.662684 | − | 0.662684i | ||||
\(149\) | −10.8249 | + | 10.8249i | −0.886812 | + | 0.886812i | −0.994215 | − | 0.107404i | \(-0.965746\pi\) |
0.107404 | + | 0.994215i | \(0.465746\pi\) | |||||||
\(150\) | −1.46142 | − | 5.45410i | −0.119325 | − | 0.445326i | ||||
\(151\) | −5.93126 | + | 22.1358i | −0.482679 | + | 1.80138i | 0.107611 | + | 0.994193i | \(0.465680\pi\) |
−0.590290 | + | 0.807191i | \(0.700987\pi\) | |||||||
\(152\) | − | 4.62444i | − | 0.375091i | ||||||
\(153\) | 1.17710 | − | 2.03880i | 0.0951628 | − | 0.164827i | ||||
\(154\) | 1.73168 | + | 3.12428i | 0.139543 | + | 0.251762i | ||||
\(155\) | 6.25660i | 0.502542i | ||||||||
\(156\) | −0.699772 | + | 3.53699i | −0.0560266 | + | 0.283186i | ||||
\(157\) | −3.92065 | + | 2.26359i | −0.312902 | + | 0.180654i | −0.648224 | − | 0.761449i | \(-0.724488\pi\) |
0.335322 | + | 0.942103i | \(0.391155\pi\) | |||||||
\(158\) | −8.74675 | + | 8.74675i | −0.695854 | + | 0.695854i | ||||
\(159\) | 6.17160 | − | 3.56317i | 0.489439 | − | 0.282578i | ||||
\(160\) | −1.63145 | − | 2.82575i | −0.128977 | − | 0.223395i | ||||
\(161\) | −2.10025 | + | 1.16410i | −0.165523 | + | 0.0917437i | ||||
\(162\) | 0.965926 | + | 0.258819i | 0.0758903 | + | 0.0203347i | ||||
\(163\) | −10.9762 | − | 10.9762i | −0.859721 | − | 0.859721i | 0.131584 | − | 0.991305i | \(-0.457994\pi\) |
−0.991305 | + | 0.131584i | \(0.957994\pi\) | |||||||
\(164\) | −2.56627 | − | 0.687631i | −0.200392 | − | 0.0536950i | ||||
\(165\) | 2.20266 | − | 3.81512i | 0.171477 | − | 0.297006i | ||||
\(166\) | −1.75387 | − | 3.03779i | −0.136126 | − | 0.235778i | ||||
\(167\) | 6.07764 | + | 22.6820i | 0.470302 | + | 1.75519i | 0.638685 | + | 0.769468i | \(0.279479\pi\) |
−0.168384 | + | 0.985722i | \(0.553855\pi\) | |||||||
\(168\) | −1.90326 | + | 1.83783i | −0.146839 | + | 0.141792i | ||||
\(169\) | 10.2973 | − | 7.93509i | 0.792100 | − | 0.610391i | ||||
\(170\) | 3.84075 | − | 6.65238i | 0.294572 | − | 0.510214i | ||||
\(171\) | 3.26997 | + | 3.26997i | 0.250061 | + | 0.250061i | ||||
\(172\) | −1.99755 | −0.152311 | ||||||||
\(173\) | −8.06695 | −0.613319 | −0.306660 | − | 0.951819i | \(-0.599211\pi\) | ||||
−0.306660 | + | 0.951819i | \(0.599211\pi\) | |||||||
\(174\) | 6.24425 | + | 6.24425i | 0.473376 | + | 0.473376i | ||||
\(175\) | −13.0664 | + | 7.24225i | −0.987727 | + | 0.547463i | ||||
\(176\) | 0.349438 | − | 1.30412i | 0.0263399 | − | 0.0983017i | ||||
\(177\) | −5.81596 | + | 1.55838i | −0.437154 | + | 0.117135i | ||||
\(178\) | −3.99675 | − | 2.30752i | −0.299569 | − | 0.172956i | ||||
\(179\) | 17.7297i | 1.32518i | 0.748982 | + | 0.662590i | \(0.230543\pi\) | ||||
−0.748982 | + | 0.662590i | \(0.769457\pi\) | |||||||
\(180\) | 3.15172 | + | 0.844500i | 0.234915 | + | 0.0629453i | ||||
\(181\) | 4.90151 | 0.364327 | 0.182163 | − | 0.983268i | \(-0.441690\pi\) | ||||
0.182163 | + | 0.983268i | \(0.441690\pi\) | |||||||
\(182\) | 9.52795 | − | 0.467160i | 0.706258 | − | 0.0346282i | ||||
\(183\) | 0.730890 | 0.0540289 | ||||||||
\(184\) | 0.876676 | + | 0.234905i | 0.0646294 | + | 0.0173174i | ||||
\(185\) | 37.2011i | 2.73508i | ||||||||
\(186\) | −1.66060 | − | 0.958748i | −0.121761 | − | 0.0702988i | ||||
\(187\) | 3.07016 | − | 0.822646i | 0.224512 | − | 0.0601578i | ||||
\(188\) | −1.88337 | + | 7.02882i | −0.137359 | + | 0.512629i | ||||
\(189\) | 0.0462630 | − | 2.64535i | 0.00336514 | − | 0.192421i | ||||
\(190\) | 10.6696 | + | 10.6696i | 0.774053 | + | 0.774053i | ||||
\(191\) | 1.73630 | 0.125634 | 0.0628172 | − | 0.998025i | \(-0.479991\pi\) | ||||
0.0628172 | + | 0.998025i | \(0.479991\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | −14.7628 | − | 14.7628i | −1.06265 | − | 1.06265i | −0.997901 | − | 0.0647507i | \(-0.979375\pi\) |
−0.0647507 | − | 0.997901i | \(-0.520625\pi\) | |||||||
\(194\) | −4.51708 | + | 7.82382i | −0.324308 | + | 0.561717i | ||||
\(195\) | −6.54608 | − | 9.77514i | −0.468775 | − | 0.700012i | ||||
\(196\) | 5.93609 | + | 3.70983i | 0.424006 | + | 0.264988i | ||||
\(197\) | 0.834638 | + | 3.11491i | 0.0594655 | + | 0.221928i | 0.989264 | − | 0.146141i | \(-0.0466855\pi\) |
−0.929798 | + | 0.368070i | \(0.880019\pi\) | |||||||
\(198\) | 0.675062 | + | 1.16924i | 0.0479746 | + | 0.0830944i | ||||
\(199\) | 1.64365 | − | 2.84688i | 0.116515 | − | 0.201810i | −0.801869 | − | 0.597499i | \(-0.796161\pi\) |
0.918384 | + | 0.395689i | \(0.129494\pi\) | |||||||
\(200\) | 5.45410 | + | 1.46142i | 0.385663 | + | 0.103338i | ||||
\(201\) | −8.73152 | − | 8.73152i | −0.615874 | − | 0.615874i | ||||
\(202\) | −14.2957 | − | 3.83053i | −1.00584 | − | 0.269515i | ||||
\(203\) | 12.0339 | − | 20.0263i | 0.844617 | − | 1.40557i | ||||
\(204\) | 1.17710 | + | 2.03880i | 0.0824134 | + | 0.142744i | ||||
\(205\) | 7.50747 | − | 4.33444i | 0.524344 | − | 0.302730i | ||||
\(206\) | 10.9937 | − | 10.9937i | 0.765969 | − | 0.765969i | ||||
\(207\) | −0.786006 | + | 0.453801i | −0.0546312 | + | 0.0315413i | ||||
\(208\) | −2.71324 | − | 2.37452i | −0.188129 | − | 0.164643i | ||||
\(209\) | 6.24356i | 0.431876i | ||||||||
\(210\) | 0.150951 | − | 8.63150i | 0.0104166 | − | 0.595630i | ||||
\(211\) | −11.5477 | + | 20.0012i | −0.794977 | + | 1.37694i | 0.127876 | + | 0.991790i | \(0.459184\pi\) |
−0.922854 | + | 0.385151i | \(0.874149\pi\) | |||||||
\(212\) | 7.12635i | 0.489439i | ||||||||
\(213\) | −0.576061 | + | 2.14989i | −0.0394711 | + | 0.147308i | ||||
\(214\) | −2.23395 | − | 8.33721i | −0.152710 | − | 0.569920i | ||||
\(215\) | 4.60877 | − | 4.60877i | 0.314316 | − | 0.314316i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −1.39853 | + | 4.87664i | −0.0949385 | + | 0.331048i | ||||
\(218\) | −12.5267 | − | 7.23229i | −0.848414 | − | 0.489832i | ||||
\(219\) | −1.66405 | + | 6.21032i | −0.112446 | + | 0.419655i | ||||
\(220\) | 2.20266 | + | 3.81512i | 0.148503 | + | 0.257215i | ||||
\(221\) | 1.64740 | − | 8.32678i | 0.110816 | − | 0.560120i | ||||
\(222\) | −9.87378 | − | 5.70063i | −0.662684 | − | 0.382601i | ||||
\(223\) | −10.5430 | + | 2.82498i | −0.706009 | + | 0.189174i | −0.593920 | − | 0.804524i | \(-0.702421\pi\) |
−0.112088 | + | 0.993698i | \(0.535754\pi\) | |||||||
\(224\) | −0.639979 | − | 2.56718i | −0.0427604 | − | 0.171527i | ||||
\(225\) | −4.89002 | + | 2.82325i | −0.326001 | + | 0.188217i | ||||
\(226\) | 0.667603 | + | 2.49153i | 0.0444083 | + | 0.165734i | ||||
\(227\) | 10.6877 | − | 2.86377i | 0.709370 | − | 0.190075i | 0.113946 | − | 0.993487i | \(-0.463651\pi\) |
0.595424 | + | 0.803412i | \(0.296984\pi\) | |||||||
\(228\) | −4.46686 | + | 1.19689i | −0.295825 | + | 0.0792661i | ||||
\(229\) | 0.657930 | + | 2.45543i | 0.0434773 | + | 0.162259i | 0.984251 | − | 0.176775i | \(-0.0565664\pi\) |
−0.940774 | + | 0.339034i | \(0.889900\pi\) | |||||||
\(230\) | −2.56466 | + | 1.48071i | −0.169108 | + | 0.0976348i | ||||
\(231\) | 2.56963 | − | 2.48130i | 0.169069 | − | 0.163257i | ||||
\(232\) | −8.52981 | + | 2.28556i | −0.560009 | + | 0.150054i | ||||
\(233\) | −22.7469 | − | 13.1329i | −1.49020 | − | 0.860365i | −0.490259 | − | 0.871577i | \(-0.663098\pi\) |
−0.999937 | + | 0.0112116i | \(0.996431\pi\) | |||||||
\(234\) | 3.59759 | − | 0.239513i | 0.235182 | − | 0.0156575i | ||||
\(235\) | −11.8717 | − | 20.5623i | −0.774423 | − | 1.34134i | ||||
\(236\) | 1.55838 | − | 5.81596i | 0.101442 | − | 0.378587i | ||||
\(237\) | 10.7125 | + | 6.18489i | 0.695854 | + | 0.401752i | ||||
\(238\) | 4.48064 | − | 4.32661i | 0.290437 | − | 0.280453i | ||||
\(239\) | −9.09071 | + | 9.09071i | −0.588029 | + | 0.588029i | −0.937097 | − | 0.349068i | \(-0.886498\pi\) |
0.349068 | + | 0.937097i | \(0.386498\pi\) | |||||||
\(240\) | −2.30722 | + | 2.30722i | −0.148930 | + | 0.148930i | ||||
\(241\) | −0.250209 | − | 0.933794i | −0.0161174 | − | 0.0601510i | 0.957399 | − | 0.288769i | \(-0.0932460\pi\) |
−0.973516 | + | 0.228618i | \(0.926579\pi\) | |||||||
\(242\) | 2.37522 | − | 8.86446i | 0.152685 | − | 0.569829i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −0.365445 | + | 0.632969i | −0.0233952 | + | 0.0405217i | ||||
\(245\) | −22.2552 | + | 5.13646i | −1.42183 | + | 0.328156i | ||||
\(246\) | 2.65680i | 0.169392i | ||||||||
\(247\) | 14.9617 | + | 7.35918i | 0.951991 | + | 0.468254i | ||||
\(248\) | 1.66060 | − | 0.958748i | 0.105448 | − | 0.0608806i | ||||
\(249\) | −2.48034 | + | 2.48034i | −0.157185 | + | 0.157185i | ||||
\(250\) | −1.82686 | + | 1.05474i | −0.115541 | + | 0.0667074i | ||||
\(251\) | −7.00072 | − | 12.1256i | −0.441882 | − | 0.765362i | 0.555947 | − | 0.831217i | \(-0.312356\pi\) |
−0.997829 | + | 0.0658558i | \(0.979022\pi\) | |||||||
\(252\) | 2.26781 | + | 1.36274i | 0.142858 | + | 0.0858444i | ||||
\(253\) | −1.18362 | − | 0.317150i | −0.0744136 | − | 0.0199391i | ||||
\(254\) | 7.15008 | + | 7.15008i | 0.448636 | + | 0.448636i | ||||
\(255\) | −7.41977 | − | 1.98812i | −0.464644 | − | 0.124501i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −15.8191 | − | 27.3994i | −0.986767 | − | 1.70913i | −0.633805 | − | 0.773493i | \(-0.718508\pi\) |
−0.352963 | − | 0.935637i | \(-0.614826\pi\) | |||||||
\(258\) | 0.517003 | + | 1.92948i | 0.0321872 | + | 0.120124i | ||||
\(259\) | −8.31554 | + | 28.9961i | −0.516702 | + | 1.80173i | ||||
\(260\) | 11.7386 | − | 0.781507i | 0.727995 | − | 0.0484670i | ||||
\(261\) | 4.41535 | − | 7.64762i | 0.273304 | − | 0.473376i | ||||
\(262\) | 11.8070 | + | 11.8070i | 0.729436 | + | 0.729436i | ||||
\(263\) | 12.1909 | 0.751720 | 0.375860 | − | 0.926676i | \(-0.377347\pi\) | ||||
0.375860 | + | 0.926676i | \(0.377347\pi\) | |||||||
\(264\) | −1.35012 | −0.0830944 | ||||||||
\(265\) | −16.4420 | − | 16.4420i | −1.01003 | − | 1.01003i | ||||
\(266\) | 5.93134 | + | 10.7013i | 0.363674 | + | 0.656137i | ||||
\(267\) | −1.19446 | + | 4.45779i | −0.0730999 | + | 0.272812i | ||||
\(268\) | 11.9275 | − | 3.19596i | 0.728587 | − | 0.195224i | ||||
\(269\) | −13.8267 | − | 7.98287i | −0.843031 | − | 0.486724i | 0.0152621 | − | 0.999884i | \(-0.495142\pi\) |
−0.858293 | + | 0.513159i | \(0.828475\pi\) | |||||||
\(270\) | − | 3.26290i | − | 0.198574i | ||||||
\(271\) | 26.0921 | + | 6.99135i | 1.58498 | + | 0.424694i | 0.940463 | − | 0.339895i | \(-0.110391\pi\) |
0.644518 | + | 0.764589i | \(0.277058\pi\) | |||||||
\(272\) | −2.35420 | −0.142744 | ||||||||
\(273\) | −2.91726 | − | 9.08238i | −0.176560 | − | 0.549691i | ||||
\(274\) | 4.74400 | 0.286595 | ||||||||
\(275\) | −7.36372 | − | 1.97310i | −0.444049 | − | 0.118983i | ||||
\(276\) | − | 0.907601i | − | 0.0546312i | ||||||
\(277\) | −25.6243 | − | 14.7942i | −1.53962 | − | 0.888898i | −0.998861 | − | 0.0477173i | \(-0.984805\pi\) |
−0.540755 | − | 0.841180i | \(-0.681861\pi\) | |||||||
\(278\) | −7.36731 | + | 1.97406i | −0.441862 | + | 0.118397i | ||||
\(279\) | −0.496285 | + | 1.85216i | −0.0297118 | + | 0.110886i | ||||
\(280\) | 7.39962 | + | 4.44648i | 0.442212 | + | 0.265728i | ||||
\(281\) | −5.11259 | − | 5.11259i | −0.304992 | − | 0.304992i | 0.537972 | − | 0.842963i | \(-0.319191\pi\) |
−0.842963 | + | 0.537972i | \(0.819191\pi\) | |||||||
\(282\) | 7.27677 | 0.433325 | ||||||||
\(283\) | −19.7916 | −1.17649 | −0.588245 | − | 0.808683i | \(-0.700181\pi\) | ||||
−0.588245 | + | 0.808683i | \(0.700181\pi\) | |||||||
\(284\) | −1.57383 | − | 1.57383i | −0.0933896 | − | 0.0933896i | ||||
\(285\) | 7.54453 | − | 13.0675i | 0.446899 | − | 0.774053i | ||||
\(286\) | 3.66321 | + | 3.20589i | 0.216610 | + | 0.189568i | ||||
\(287\) | 6.82050 | − | 1.70030i | 0.402601 | − | 0.100365i | ||||
\(288\) | −0.258819 | − | 0.965926i | −0.0152511 | − | 0.0569177i | ||||
\(289\) | 5.72888 | + | 9.92270i | 0.336993 | + | 0.583689i | ||||
\(290\) | 14.4068 | − | 24.9534i | 0.845999 | − | 1.46531i | ||||
\(291\) | 8.72634 | + | 2.33821i | 0.511547 | + | 0.137069i | ||||
\(292\) | −4.54627 | − | 4.54627i | −0.266050 | − | 0.266050i | ||||
\(293\) | 12.5810 | + | 3.37106i | 0.734989 | + | 0.196940i | 0.606850 | − | 0.794817i | \(-0.292433\pi\) |
0.128139 | + | 0.991756i | \(0.459100\pi\) | |||||||
\(294\) | 2.04705 | − | 6.69400i | 0.119386 | − | 0.390402i | ||||
\(295\) | 9.82316 | + | 17.0142i | 0.571926 | + | 0.990606i | ||||
\(296\) | 9.87378 | − | 5.70063i | 0.573902 | − | 0.331342i | ||||
\(297\) | 0.954682 | − | 0.954682i | 0.0553963 | − | 0.0553963i | ||||
\(298\) | −13.2578 | + | 7.65437i | −0.768001 | + | 0.443406i | ||||
\(299\) | −2.15512 | + | 2.46254i | −0.124634 | + | 0.142412i | ||||
\(300\) | − | 5.64650i | − | 0.326001i | ||||||
\(301\) | 4.62246 | − | 2.56207i | 0.266434 | − | 0.147675i | ||||
\(302\) | −11.4583 | + | 19.8464i | −0.659352 | + | 1.14203i | ||||
\(303\) | 14.8000i | 0.850239i | ||||||||
\(304\) | 1.19689 | − | 4.46686i | 0.0686465 | − | 0.256192i | ||||
\(305\) | −0.617236 | − | 2.30356i | −0.0353428 | − | 0.131901i | ||||
\(306\) | 1.66467 | − | 1.66467i | 0.0951628 | − | 0.0951628i | ||||
\(307\) | 13.3694 | − | 13.3694i | 0.763033 | − | 0.763033i | −0.213836 | − | 0.976870i | \(-0.568596\pi\) |
0.976870 | + | 0.213836i | \(0.0685958\pi\) | |||||||
\(308\) | 0.864052 | + | 3.46602i | 0.0492339 | + | 0.197495i | ||||
\(309\) | −13.4645 | − | 7.77373i | −0.765969 | − | 0.442232i | ||||
\(310\) | −1.61933 | + | 6.04341i | −0.0919715 | + | 0.343242i | ||||
\(311\) | −13.3477 | − | 23.1190i | −0.756881 | − | 1.31096i | −0.944434 | − | 0.328701i | \(-0.893389\pi\) |
0.187553 | − | 0.982254i | \(-0.439944\pi\) | |||||||
\(312\) | −1.59137 | + | 3.23536i | −0.0900935 | + | 0.183166i | ||||
\(313\) | 17.7118 | + | 10.2259i | 1.00113 | + | 0.578002i | 0.908582 | − | 0.417707i | \(-0.137166\pi\) |
0.0925465 | + | 0.995708i | \(0.470499\pi\) | |||||||
\(314\) | −4.37292 | + | 1.17172i | −0.246778 | + | 0.0661240i | ||||
\(315\) | −8.37645 | + | 2.08819i | −0.471960 | + | 0.117656i | ||||
\(316\) | −10.7125 | + | 6.18489i | −0.602627 | + | 0.347927i | ||||
\(317\) | −4.80051 | − | 17.9157i | −0.269623 | − | 1.00625i | −0.959359 | − | 0.282187i | \(-0.908940\pi\) |
0.689736 | − | 0.724061i | \(-0.257727\pi\) | |||||||
\(318\) | 6.88352 | − | 1.84443i | 0.386009 | − | 0.103431i | ||||
\(319\) | 11.5163 | − | 3.08578i | 0.644789 | − | 0.172771i | ||||
\(320\) | −0.844500 | − | 3.15172i | −0.0472090 | − | 0.176186i | ||||
\(321\) | −7.47494 | + | 4.31566i | −0.417210 | + | 0.240877i | ||||
\(322\) | −2.32998 | + | 0.580846i | −0.129845 | + | 0.0323693i | ||||
\(323\) | 10.5159 | − | 2.81772i | 0.585119 | − | 0.156782i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | −13.4077 | + | 15.3203i | −0.743726 | + | 0.849818i | ||||
\(326\) | −7.76134 | − | 13.4430i | −0.429861 | − | 0.744540i | ||||
\(327\) | −3.74371 | + | 13.9717i | −0.207027 | + | 0.772637i | ||||
\(328\) | −2.30086 | − | 1.32840i | −0.127044 | − | 0.0733487i | ||||
\(329\) | −4.65698 | − | 18.6808i | −0.256748 | − | 1.02991i | ||||
\(330\) | 3.11503 | − | 3.11503i | 0.171477 | − | 0.171477i | ||||
\(331\) | 4.13646 | − | 4.13646i | 0.227360 | − | 0.227360i | −0.584229 | − | 0.811589i | \(-0.698603\pi\) |
0.811589 | + | 0.584229i | \(0.198603\pi\) | |||||||
\(332\) | −0.907868 | − | 3.38821i | −0.0498257 | − | 0.185952i | ||||
\(333\) | −2.95086 | + | 11.0128i | −0.161706 | + | 0.603496i | ||||
\(334\) | 23.4822i | 1.28489i | ||||||||
\(335\) | −20.1455 | + | 34.8931i | −1.10067 | + | 1.90641i | ||||
\(336\) | −2.31407 | + | 1.28261i | −0.126243 | + | 0.0699720i | ||||
\(337\) | 4.58809i | 0.249929i | 0.992161 | + | 0.124965i | \(0.0398818\pi\) | ||||
−0.992161 | + | 0.124965i | \(0.960118\pi\) | |||||||
\(338\) | 12.0002 | − | 4.99957i | 0.652724 | − | 0.271941i | ||||
\(339\) | 2.23384 | − | 1.28971i | 0.121326 | − | 0.0700475i | ||||
\(340\) | 5.43165 | − | 5.43165i | 0.294572 | − | 0.294572i | ||||
\(341\) | −2.24202 | + | 1.29443i | −0.121412 | + | 0.0700973i | ||||
\(342\) | 2.31222 | + | 4.00488i | 0.125030 | + | 0.216559i | ||||
\(343\) | −18.4948 | − | 0.971127i | −0.998624 | − | 0.0524359i | ||||
\(344\) | −1.92948 | − | 0.517003i | −0.104031 | − | 0.0278749i | ||||
\(345\) | 2.09403 | + | 2.09403i | 0.112739 | + | 0.112739i | ||||
\(346\) | −7.79208 | − | 2.08788i | −0.418905 | − | 0.112245i | ||||
\(347\) | 14.3810 | − | 24.9086i | 0.772011 | − | 1.33716i | −0.164449 | − | 0.986386i | \(-0.552584\pi\) |
0.936459 | − | 0.350776i | \(-0.114082\pi\) | |||||||
\(348\) | 4.41535 | + | 7.64762i | 0.236688 | + | 0.409955i | ||||
\(349\) | 4.39591 | + | 16.4058i | 0.235308 | + | 0.878180i | 0.978010 | + | 0.208558i | \(0.0668771\pi\) |
−0.742702 | + | 0.669622i | \(0.766456\pi\) | |||||||
\(350\) | −14.4956 | + | 3.61365i | −0.774823 | + | 0.193158i | ||||
\(351\) | −1.16248 | − | 3.41301i | −0.0620484 | − | 0.182173i | ||||
\(352\) | 0.675062 | − | 1.16924i | 0.0359809 | − | 0.0623208i | ||||
\(353\) | 20.3834 | + | 20.3834i | 1.08490 | + | 1.08490i | 0.996044 | + | 0.0888567i | \(0.0283213\pi\) |
0.0888567 | + | 0.996044i | \(0.471679\pi\) | |||||||
\(354\) | −6.02113 | −0.320019 | ||||||||
\(355\) | 7.26233 | 0.385445 | ||||||||
\(356\) | −3.26333 | − | 3.26333i | −0.172956 | − | 0.172956i | ||||
\(357\) | −5.33886 | − | 3.20816i | −0.282563 | − | 0.169794i | ||||
\(358\) | −4.58878 | + | 17.1256i | −0.242525 | + | 0.905115i | ||||
\(359\) | −25.8590 | + | 6.92891i | −1.36479 | + | 0.365694i | −0.865572 | − | 0.500784i | \(-0.833045\pi\) |
−0.499216 | + | 0.866478i | \(0.666379\pi\) | |||||||
\(360\) | 2.82575 | + | 1.63145i | 0.148930 | + | 0.0859849i | ||||
\(361\) | 2.38540i | 0.125548i | ||||||||
\(362\) | 4.73450 | + | 1.26861i | 0.248840 | + | 0.0666764i | ||||
\(363\) | −9.17716 | −0.481676 | ||||||||
\(364\) | 9.32420 | + | 2.01477i | 0.488721 | + | 0.105603i | ||||
\(365\) | 20.9785 | 1.09806 | ||||||||
\(366\) | 0.705985 | + | 0.189168i | 0.0369024 | + | 0.00988798i | ||||
\(367\) | 11.5334i | 0.602040i | 0.953618 | + | 0.301020i | \(0.0973272\pi\) | ||||
−0.953618 | + | 0.301020i | \(0.902673\pi\) | |||||||
\(368\) | 0.786006 | + | 0.453801i | 0.0409734 | + | 0.0236560i | ||||
\(369\) | 2.56627 | − | 0.687631i | 0.133595 | − | 0.0357966i | ||||
\(370\) | −9.62836 | + | 35.9335i | −0.500555 | + | 1.86810i | ||||
\(371\) | −9.14031 | − | 16.4909i | −0.474541 | − | 0.856163i | ||||
\(372\) | −1.35587 | − | 1.35587i | −0.0702988 | − | 0.0702988i | ||||
\(373\) | −6.42675 | −0.332765 | −0.166382 | − | 0.986061i | \(-0.553209\pi\) | ||||
−0.166382 | + | 0.986061i | \(0.553209\pi\) | |||||||
\(374\) | 3.17846 | 0.164354 | ||||||||
\(375\) | 1.49162 | + | 1.49162i | 0.0770271 | + | 0.0770271i | ||||
\(376\) | −3.63838 | + | 6.30187i | −0.187635 | + | 0.324994i | ||||
\(377\) | 6.17948 | − | 31.2342i | 0.318260 | − | 1.60864i | ||||
\(378\) | 0.729353 | − | 2.54324i | 0.0375139 | − | 0.130810i | ||||
\(379\) | 4.98986 | + | 18.6224i | 0.256312 | + | 0.956568i | 0.967356 | + | 0.253421i | \(0.0815558\pi\) |
−0.711044 | + | 0.703147i | \(0.751778\pi\) | |||||||
\(380\) | 7.54453 | + | 13.0675i | 0.387026 | + | 0.670349i | ||||
\(381\) | 5.05587 | − | 8.75703i | 0.259020 | − | 0.448636i | ||||
\(382\) | 1.67714 | + | 0.449388i | 0.0858099 | + | 0.0229927i | ||||
\(383\) | −7.66992 | − | 7.66992i | −0.391915 | − | 0.391915i | 0.483455 | − | 0.875369i | \(-0.339382\pi\) |
−0.875369 | + | 0.483455i | \(0.839382\pi\) | |||||||
\(384\) | 0.965926 | + | 0.258819i | 0.0492922 | + | 0.0132078i | ||||
\(385\) | −9.99041 | − | 6.00330i | −0.509158 | − | 0.305956i | ||||
\(386\) | −10.4389 | − | 18.0807i | −0.531326 | − | 0.920284i | ||||
\(387\) | 1.72993 | − | 0.998773i | 0.0879370 | − | 0.0507705i | ||||
\(388\) | −6.38812 | + | 6.38812i | −0.324308 | + | 0.324308i | ||||
\(389\) | −4.57588 | + | 2.64188i | −0.232006 | + | 0.133949i | −0.611497 | − | 0.791247i | \(-0.709432\pi\) |
0.379491 | + | 0.925195i | \(0.376099\pi\) | |||||||
\(390\) | −3.79304 | − | 11.1363i | −0.192068 | − | 0.563909i | ||||
\(391\) | 2.13667i | 0.108056i | ||||||||
\(392\) | 4.77365 | + | 5.11979i | 0.241106 | + | 0.258589i | ||||
\(393\) | 8.34878 | − | 14.4605i | 0.421140 | − | 0.729436i | ||||
\(394\) | 3.22479i | 0.162463i | ||||||||
\(395\) | 10.4463 | − | 38.9860i | 0.525609 | − | 1.96160i | ||||
\(396\) | 0.349438 | + | 1.30412i | 0.0175599 | + | 0.0655345i | ||||
\(397\) | −14.7011 | + | 14.7011i | −0.737828 | + | 0.737828i | −0.972157 | − | 0.234329i | \(-0.924711\pi\) |
0.234329 | + | 0.972157i | \(0.424711\pi\) | |||||||
\(398\) | 2.32447 | − | 2.32447i | 0.116515 | − | 0.116515i | ||||
\(399\) | 8.80148 | − | 8.49893i | 0.440625 | − | 0.425478i | ||||
\(400\) | 4.89002 | + | 2.82325i | 0.244501 | + | 0.141163i | ||||
\(401\) | −9.52069 | + | 35.5317i | −0.475441 | + | 1.77437i | 0.144270 | + | 0.989538i | \(0.453917\pi\) |
−0.619711 | + | 0.784830i | \(0.712750\pi\) | |||||||
\(402\) | −6.17412 | − | 10.6939i | −0.307937 | − | 0.533363i | ||||
\(403\) | 0.459265 | + | 6.89836i | 0.0228776 | + | 0.343632i | ||||
\(404\) | −12.8172 | − | 7.40001i | −0.637679 | − | 0.368164i | ||||
\(405\) | −3.15172 | + | 0.844500i | −0.156610 | + | 0.0419635i | ||||
\(406\) | 16.8071 | − | 16.2293i | 0.834122 | − | 0.805449i | ||||
\(407\) | −13.3308 | + | 7.69655i | −0.660784 | + | 0.381504i | ||||
\(408\) | 0.609311 | + | 2.27398i | 0.0301654 | + | 0.112579i | ||||
\(409\) | −9.23579 | + | 2.47472i | −0.456681 | + | 0.122367i | −0.479824 | − | 0.877365i | \(-0.659299\pi\) |
0.0231430 | + | 0.999732i | \(0.492633\pi\) | |||||||
\(410\) | 8.37349 | − | 2.24367i | 0.413537 | − | 0.110807i | ||||
\(411\) | −1.22784 | − | 4.58235i | −0.0605648 | − | 0.226031i | ||||
\(412\) | 13.4645 | − | 7.77373i | 0.663348 | − | 0.382984i | ||||
\(413\) | 3.85340 | + | 15.4573i | 0.189613 | + | 0.760605i | ||||
\(414\) | −0.876676 | + | 0.234905i | −0.0430863 | + | 0.0115449i | ||||
\(415\) | 9.91198 | + | 5.72269i | 0.486560 | + | 0.280916i | ||||
\(416\) | −2.00622 | − | 2.99585i | −0.0983629 | − | 0.146883i | ||||
\(417\) | 3.81360 | + | 6.60535i | 0.186753 | + | 0.323465i | ||||
\(418\) | −1.61595 | + | 6.03082i | −0.0790388 | + | 0.294977i | ||||
\(419\) | 14.0813 | + | 8.12987i | 0.687919 | + | 0.397170i | 0.802832 | − | 0.596205i | \(-0.203326\pi\) |
−0.114913 | + | 0.993376i | \(0.536659\pi\) | |||||||
\(420\) | 2.37980 | − | 8.29832i | 0.116123 | − | 0.404916i | ||||
\(421\) | 14.9294 | − | 14.9294i | 0.727614 | − | 0.727614i | −0.242530 | − | 0.970144i | \(-0.577977\pi\) |
0.970144 | + | 0.242530i | \(0.0779774\pi\) | |||||||
\(422\) | −16.3309 | + | 16.3309i | −0.794977 | + | 0.794977i | ||||
\(423\) | −1.88337 | − | 7.02882i | −0.0915724 | − | 0.341753i | ||||
\(424\) | −1.84443 | + | 6.88352i | −0.0895736 | + | 0.334293i | ||||
\(425\) | 13.2930i | 0.644804i | ||||||||
\(426\) | −1.11287 | + | 1.92754i | −0.0539185 | + | 0.0933896i | ||||
\(427\) | 0.0338132 | − | 1.93346i | 0.00163633 | − | 0.0935665i | ||||
\(428\) | − | 8.63132i | − | 0.417210i | ||||||
\(429\) | 2.14855 | − | 4.36814i | 0.103733 | − | 0.210896i | ||||
\(430\) | 5.64457 | − | 3.25889i | 0.272205 | − | 0.157158i | ||||
\(431\) | 12.9074 | − | 12.9074i | 0.621729 | − | 0.621729i | −0.324244 | − | 0.945973i | \(-0.605110\pi\) |
0.945973 | + | 0.324244i | \(0.105110\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | 0.272369 | + | 0.471756i | 0.0130892 | + | 0.0226712i | 0.872496 | − | 0.488622i | \(-0.162500\pi\) |
−0.859407 | + | 0.511293i | \(0.829167\pi\) | |||||||
\(434\) | −2.61305 | + | 4.34851i | −0.125430 | + | 0.208735i | ||||
\(435\) | −27.8319 | − | 7.45753i | −1.33444 | − | 0.357561i | ||||
\(436\) | −10.2280 | − | 10.2280i | −0.489832 | − | 0.489832i | ||||
\(437\) | −4.05413 | − | 1.08630i | −0.193935 | − | 0.0519648i | ||||
\(438\) | −3.21470 | + | 5.56802i | −0.153604 | + | 0.266050i | ||||
\(439\) | 5.09124 | + | 8.81828i | 0.242991 | + | 0.420874i | 0.961565 | − | 0.274577i | \(-0.0885380\pi\) |
−0.718574 | + | 0.695451i | \(0.755205\pi\) | |||||||
\(440\) | 1.14018 | + | 4.25521i | 0.0543560 | + | 0.202859i | ||||
\(441\) | −6.99572 | − | 0.244763i | −0.333129 | − | 0.0116554i | ||||
\(442\) | 3.74640 | − | 7.61667i | 0.178198 | − | 0.362288i | ||||
\(443\) | −8.99848 | + | 15.5858i | −0.427531 | + | 0.740505i | −0.996653 | − | 0.0817479i | \(-0.973950\pi\) |
0.569122 | + | 0.822253i | \(0.307283\pi\) | |||||||
\(444\) | −8.06190 | − | 8.06190i | −0.382601 | − | 0.382601i | ||||
\(445\) | 15.0584 | 0.713838 | ||||||||
\(446\) | −10.9149 | −0.516834 | ||||||||
\(447\) | 10.8249 | + | 10.8249i | 0.512001 | + | 0.512001i | ||||
\(448\) | 0.0462630 | − | 2.64535i | 0.00218572 | − | 0.124981i | ||||
\(449\) | −7.09485 | + | 26.4783i | −0.334826 | + | 1.24959i | 0.569231 | + | 0.822178i | \(0.307241\pi\) |
−0.904057 | + | 0.427411i | \(0.859426\pi\) | |||||||
\(450\) | −5.45410 | + | 1.46142i | −0.257109 | + | 0.0688921i | ||||
\(451\) | 3.10644 | + | 1.79351i | 0.146277 | + | 0.0844529i | ||||
\(452\) | 2.57942i | 0.121326i | ||||||||
\(453\) | 22.1358 | + | 5.93126i | 1.04003 | + | 0.278675i | ||||
\(454\) | 11.0648 | 0.519295 | ||||||||
\(455\) | −26.1615 | + | 16.8644i | −1.22647 | + | 0.790617i | ||||
\(456\) | −4.62444 | −0.216559 | ||||||||
\(457\) | 38.5451 | + | 10.3281i | 1.80306 | + | 0.483129i | 0.994450 | − | 0.105211i | \(-0.0335518\pi\) |
0.808613 | + | 0.588340i | \(0.200219\pi\) | |||||||
\(458\) | 2.54205i | 0.118782i | ||||||||
\(459\) | −2.03880 | − | 1.17710i | −0.0951628 | − | 0.0549423i | ||||
\(460\) | −2.86050 | + | 0.766470i | −0.133372 | + | 0.0357368i | ||||
\(461\) | 6.42732 | − | 23.9871i | 0.299350 | − | 1.11719i | −0.638350 | − | 0.769746i | \(-0.720383\pi\) |
0.937701 | − | 0.347444i | \(-0.112950\pi\) | |||||||
\(462\) | 3.12428 | − | 1.73168i | 0.145355 | − | 0.0805651i | ||||
\(463\) | −0.812272 | − | 0.812272i | −0.0377495 | − | 0.0377495i | 0.687980 | − | 0.725730i | \(-0.258498\pi\) |
−0.725730 | + | 0.687980i | \(0.758498\pi\) | |||||||
\(464\) | −8.83071 | −0.409955 | ||||||||
\(465\) | 6.25660 | 0.290143 | ||||||||
\(466\) | −18.5727 | − | 18.5727i | −0.860365 | − | 0.860365i | ||||
\(467\) | 16.3896 | − | 28.3876i | 0.758421 | − | 1.31362i | −0.185235 | − | 0.982694i | \(-0.559305\pi\) |
0.943656 | − | 0.330929i | \(-0.107362\pi\) | |||||||
\(468\) | 3.53699 | + | 0.699772i | 0.163498 | + | 0.0323470i | ||||
\(469\) | −23.5019 | + | 22.6940i | −1.08521 | + | 1.04791i | ||||
\(470\) | −6.14523 | − | 22.9343i | −0.283458 | − | 1.05788i | ||||
\(471\) | 2.26359 | + | 3.92065i | 0.104301 | + | 0.180654i | ||||
\(472\) | 3.01056 | − | 5.21445i | 0.138572 | − | 0.240014i | ||||
\(473\) | 2.60504 | + | 0.698018i | 0.119780 | + | 0.0320949i | ||||
\(474\) | 8.74675 | + | 8.74675i | 0.401752 | + | 0.401752i | ||||
\(475\) | −25.2221 | − | 6.75825i | −1.15727 | − | 0.310090i | ||||
\(476\) | 5.44778 | − | 3.01951i | 0.249698 | − | 0.138399i | ||||
\(477\) | −3.56317 | − | 6.17160i | −0.163146 | − | 0.282578i | ||||
\(478\) | −11.1338 | + | 6.42810i | −0.509248 | + | 0.294015i | ||||
\(479\) | −1.49287 | + | 1.49287i | −0.0682108 | + | 0.0682108i | −0.740389 | − | 0.672178i | \(-0.765359\pi\) |
0.672178 | + | 0.740389i | \(0.265359\pi\) | |||||||
\(480\) | −2.82575 | + | 1.63145i | −0.128977 | + | 0.0744651i | ||||
\(481\) | 2.73075 | + | 41.0170i | 0.124511 | + | 1.87021i | ||||
\(482\) | − | 0.966735i | − | 0.0440336i | ||||||
\(483\) | 1.16410 | + | 2.10025i | 0.0529683 | + | 0.0955648i | ||||
\(484\) | 4.58858 | − | 7.94766i | 0.208572 | − | 0.361257i | ||||
\(485\) | − | 29.4776i | − | 1.33851i | ||||||
\(486\) | 0.258819 | − | 0.965926i | 0.0117403 | − | 0.0438153i | ||||
\(487\) | −4.15962 | − | 15.5239i | −0.188490 | − | 0.703456i | −0.993856 | − | 0.110678i | \(-0.964698\pi\) |
0.805366 | − | 0.592778i | \(-0.201969\pi\) | |||||||
\(488\) | −0.516817 | + | 0.516817i | −0.0233952 | + | 0.0233952i | ||||
\(489\) | −10.9762 | + | 10.9762i | −0.496360 | + | 0.496360i | ||||
\(490\) | −22.8263 | − | 0.798638i | −1.03119 | − | 0.0360788i | ||||
\(491\) | 6.53085 | + | 3.77059i | 0.294733 | + | 0.170164i | 0.640074 | − | 0.768313i | \(-0.278904\pi\) |
−0.345341 | + | 0.938477i | \(0.612237\pi\) | |||||||
\(492\) | −0.687631 | + | 2.56627i | −0.0310008 | + | 0.115697i | ||||
\(493\) | −10.3946 | − | 18.0040i | −0.468150 | − | 0.810860i | ||||
\(494\) | 12.5472 | + | 10.9808i | 0.564525 | + | 0.494050i | ||||
\(495\) | −3.81512 | − | 2.20266i | −0.171477 | − | 0.0990021i | ||||
\(496\) | 1.85216 | − | 0.496285i | 0.0831644 | − | 0.0222838i | ||||
\(497\) | 5.66056 | + | 1.62334i | 0.253911 | + | 0.0728169i | ||||
\(498\) | −3.03779 | + | 1.75387i | −0.136126 | + | 0.0785926i | ||||
\(499\) | −10.5818 | − | 39.4920i | −0.473708 | − | 1.76790i | −0.626267 | − | 0.779609i | \(-0.715418\pi\) |
0.152559 | − | 0.988294i | \(-0.451249\pi\) | |||||||
\(500\) | −2.03760 | + | 0.545972i | −0.0911240 | + | 0.0244166i | ||||
\(501\) | 22.6820 | − | 6.07764i | 1.01336 | − | 0.271529i | ||||
\(502\) | −3.62384 | − | 13.5244i | −0.161740 | − | 0.603622i | ||||
\(503\) | 22.5080 | − | 12.9950i | 1.00358 | − | 0.579419i | 0.0942768 | − | 0.995546i | \(-0.469946\pi\) |
0.909307 | + | 0.416127i | \(0.136613\pi\) | |||||||
\(504\) | 1.83783 | + | 1.90326i | 0.0818634 | + | 0.0847777i | ||||
\(505\) | 46.6455 | − | 12.4986i | 2.07570 | − | 0.556181i | ||||
\(506\) | −1.06121 | − | 0.612687i | −0.0471763 | − | 0.0272373i | ||||
\(507\) | −7.93509 | − | 10.2973i | −0.352410 | − | 0.457319i | ||||
\(508\) | 5.05587 | + | 8.75703i | 0.224318 | + | 0.388530i | ||||
\(509\) | −5.84240 | + | 21.8041i | −0.258960 | + | 0.966451i | 0.706885 | + | 0.707329i | \(0.250100\pi\) |
−0.965844 | + | 0.259122i | \(0.916567\pi\) | |||||||
\(510\) | −6.65238 | − | 3.84075i | −0.294572 | − | 0.170071i | ||||
\(511\) | 16.3515 | + | 4.68930i | 0.723346 | + | 0.207442i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 3.26997 | − | 3.26997i | 0.144373 | − | 0.144373i | ||||
\(514\) | −8.18856 | − | 30.5601i | −0.361182 | − | 1.34795i | ||||
\(515\) | −13.1298 | + | 49.0012i | −0.578570 | + | 2.15925i | ||||
\(516\) | 1.99755i | 0.0879370i | ||||||||
\(517\) | 4.91227 | − | 8.50830i | 0.216041 | − | 0.374195i | ||||
\(518\) | −15.5369 | + | 25.8558i | −0.682653 | + | 1.13604i | ||||
\(519\) | 8.06695i | 0.354100i | ||||||||
\(520\) | 11.5408 | + | 2.28329i | 0.506100 | + | 0.100129i | ||||
\(521\) | 38.5169 | − | 22.2377i | 1.68746 | − | 0.974253i | 0.730999 | − | 0.682378i | \(-0.239054\pi\) |
0.956457 | − | 0.291875i | \(-0.0942791\pi\) | |||||||
\(522\) | 6.24425 | − | 6.24425i | 0.273304 | − | 0.273304i | ||||
\(523\) | 14.5874 | − | 8.42202i | 0.637861 | − | 0.368269i | −0.145929 | − | 0.989295i | \(-0.546617\pi\) |
0.783790 | + | 0.621026i | \(0.213284\pi\) | |||||||
\(524\) | 8.34878 | + | 14.4605i | 0.364718 | + | 0.631710i | ||||
\(525\) | 7.24225 | + | 13.0664i | 0.316078 | + | 0.570264i | ||||
\(526\) | 11.7755 | + | 3.15523i | 0.513435 | + | 0.137574i | ||||
\(527\) | 3.19200 | + | 3.19200i | 0.139046 | + | 0.139046i | ||||
\(528\) | −1.30412 | − | 0.349438i | −0.0567545 | − | 0.0152073i | ||||
\(529\) | −11.0881 | + | 19.2052i | −0.482093 | + | 0.835009i | ||||
\(530\) | −11.6263 | − | 20.1373i | −0.505013 | − | 0.874708i | ||||
\(531\) | 1.55838 | + | 5.81596i | 0.0676280 | + | 0.252391i | ||||
\(532\) | 2.95954 | + | 11.8718i | 0.128313 | + | 0.514707i | ||||
\(533\) | 7.95937 | − | 5.33012i | 0.344759 | − | 0.230873i | ||||
\(534\) | −2.30752 | + | 3.99675i | −0.0998563 | + | 0.172956i | ||||
\(535\) | 19.9143 | + | 19.9143i | 0.860971 | + | 0.860971i | ||||
\(536\) | 12.3482 | 0.533363 | ||||||||
\(537\) | 17.7297 | 0.765093 | ||||||||
\(538\) | −11.2895 | − | 11.2895i | −0.486724 | − | 0.486724i | ||||
\(539\) | −6.44502 | − | 6.91236i | −0.277606 | − | 0.297736i | ||||
\(540\) | 0.844500 | − | 3.15172i | 0.0363415 | − | 0.135628i | ||||
\(541\) | 19.0927 | − | 5.11588i | 0.820860 | − | 0.219949i | 0.176137 | − | 0.984366i | \(-0.443640\pi\) |
0.644722 | + | 0.764417i | \(0.276973\pi\) | |||||||
\(542\) | 23.3935 | + | 13.5063i | 1.00484 | + | 0.580143i | ||||
\(543\) | − | 4.90151i | − | 0.210344i | ||||||
\(544\) | −2.27398 | − | 0.609311i | −0.0974961 | − | 0.0261240i | ||||
\(545\) | 47.1964 | 2.02167 | ||||||||
\(546\) | −0.467160 | − | 9.52795i | −0.0199926 | − | 0.407758i | ||||
\(547\) | 14.9388 | 0.638737 | 0.319368 | − | 0.947631i | \(-0.396529\pi\) | ||||
0.319368 | + | 0.947631i | \(0.396529\pi\) | |||||||
\(548\) | 4.58235 | + | 1.22784i | 0.195748 | + | 0.0524506i | ||||
\(549\) | − | 0.730890i | − | 0.0311936i | ||||||
\(550\) | −6.60213 | − | 3.81174i | −0.281516 | − | 0.162533i | ||||
\(551\) | 39.4456 | − | 10.5694i | 1.68044 | − | 0.450272i | ||||
\(552\) | 0.234905 | − | 0.876676i | 0.00999820 | − | 0.0373138i | ||||
\(553\) | 16.8568 | − | 28.0522i | 0.716823 | − | 1.19290i | ||||
\(554\) | −20.9222 | − | 20.9222i | −0.888898 | − | 0.888898i | ||||
\(555\) | 37.2011 | 1.57910 | ||||||||
\(556\) | −7.62720 | −0.323465 | ||||||||
\(557\) | −13.4150 | − | 13.4150i | −0.568411 | − | 0.568411i | 0.363272 | − | 0.931683i | \(-0.381659\pi\) |
−0.931683 | + | 0.363272i | \(0.881659\pi\) | |||||||
\(558\) | −0.958748 | + | 1.66060i | −0.0405870 | + | 0.0702988i | ||||
\(559\) | 4.74321 | − | 5.41982i | 0.200616 | − | 0.229234i | ||||
\(560\) | 5.99665 | + | 6.21013i | 0.253405 | + | 0.262426i | ||||
\(561\) | −0.822646 | − | 3.07016i | −0.0347321 | − | 0.129622i | ||||
\(562\) | −3.61515 | − | 6.26162i | −0.152496 | − | 0.264130i | ||||
\(563\) | 2.58062 | − | 4.46976i | 0.108760 | − | 0.188378i | −0.806508 | − | 0.591223i | \(-0.798645\pi\) |
0.915268 | + | 0.402845i | \(0.131979\pi\) | |||||||
\(564\) | 7.02882 | + | 1.88337i | 0.295967 | + | 0.0793040i | ||||
\(565\) | −5.95128 | − | 5.95128i | −0.250372 | − | 0.250372i | ||||
\(566\) | −19.1172 | − | 5.12245i | −0.803558 | − | 0.215313i | ||||
\(567\) | −2.64535 | − | 0.0462630i | −0.111094 | − | 0.00194286i | ||||
\(568\) | −1.11287 | − | 1.92754i | −0.0466948 | − | 0.0808777i | ||||
\(569\) | 27.5895 | − | 15.9288i | 1.15661 | − | 0.667771i | 0.206123 | − | 0.978526i | \(-0.433915\pi\) |
0.950490 | + | 0.310755i | \(0.100582\pi\) | |||||||
\(570\) | 10.6696 | − | 10.6696i | 0.446899 | − | 0.446899i | ||||
\(571\) | 28.2961 | − | 16.3367i | 1.18415 | − | 0.683672i | 0.227182 | − | 0.973852i | \(-0.427049\pi\) |
0.956972 | + | 0.290181i | \(0.0937154\pi\) | |||||||
\(572\) | 2.70864 | + | 4.04476i | 0.113254 | + | 0.169120i | ||||
\(573\) | − | 1.73630i | − | 0.0725350i | ||||||
\(574\) | 7.02816 | + | 0.122912i | 0.293350 | + | 0.00513023i | ||||
\(575\) | 2.56239 | − | 4.43818i | 0.106859 | − | 0.185085i | ||||
\(576\) | − | 1.00000i | − | 0.0416667i | ||||||
\(577\) | −7.85175 | + | 29.3031i | −0.326873 | + | 1.21991i | 0.585543 | + | 0.810641i | \(0.300881\pi\) |
−0.912416 | + | 0.409264i | \(0.865785\pi\) | |||||||
\(578\) | 2.96548 | + | 11.0673i | 0.123348 | + | 0.460341i | ||||
\(579\) | −14.7628 | + | 14.7628i | −0.613523 | + | 0.613523i | ||||
\(580\) | 20.3744 | − | 20.3744i | 0.845999 | − | 0.845999i | ||||
\(581\) | 6.44662 | + | 6.67611i | 0.267451 | + | 0.276972i | ||||
\(582\) | 7.82382 | + | 4.51708i | 0.324308 | + | 0.187239i | ||||
\(583\) | 2.49022 | − | 9.29361i | 0.103134 | − | 0.384902i | ||||
\(584\) | −3.21470 | − | 5.56802i | −0.133025 | − | 0.230406i | ||||
\(585\) | −9.77514 | + | 6.54608i | −0.404152 | + | 0.270647i | ||||
\(586\) | 11.2798 | + | 6.51239i | 0.465964 | + | 0.269025i | ||||
\(587\) | −6.73302 | + | 1.80411i | −0.277902 | + | 0.0744635i | −0.395078 | − | 0.918648i | \(-0.629282\pi\) |
0.117176 | + | 0.993111i | \(0.462616\pi\) | |||||||
\(588\) | 3.70983 | − | 5.93609i | 0.152991 | − | 0.244800i | ||||
\(589\) | −7.67934 | + | 4.43367i | −0.316422 | + | 0.182686i | ||||
\(590\) | 5.08484 | + | 18.9769i | 0.209340 | + | 0.781266i | ||||
\(591\) | 3.11491 | − | 0.834638i | 0.128130 | − | 0.0343324i | ||||
\(592\) | 11.0128 | − | 2.95086i | 0.452622 | − | 0.121280i | ||||
\(593\) | 6.58817 | + | 24.5874i | 0.270544 | + | 1.00968i | 0.958769 | + | 0.284186i | \(0.0917232\pi\) |
−0.688226 | + | 0.725497i | \(0.741610\pi\) | |||||||
\(594\) | 1.16924 | − | 0.675062i | 0.0479746 | − | 0.0276981i | ||||
\(595\) | −5.60253 | + | 19.5359i | −0.229681 | + | 0.800893i | ||||
\(596\) | −14.7871 | + | 3.96219i | −0.605704 | + | 0.162298i | ||||
\(597\) | −2.84688 | − | 1.64365i | −0.116515 | − | 0.0672700i | ||||
\(598\) | −2.71903 | + | 1.82085i | −0.111190 | + | 0.0744599i | ||||
\(599\) | −6.75437 | − | 11.6989i | −0.275976 | − | 0.478004i | 0.694405 | − | 0.719584i | \(-0.255668\pi\) |
−0.970381 | + | 0.241580i | \(0.922334\pi\) | |||||||
\(600\) | 1.46142 | − | 5.45410i | 0.0596623 | − | 0.222663i | ||||
\(601\) | 36.4625 | + | 21.0516i | 1.48734 | + | 0.858714i | 0.999896 | − | 0.0144430i | \(-0.00459751\pi\) |
0.487440 | + | 0.873157i | \(0.337931\pi\) | |||||||
\(602\) | 5.12806 | − | 1.27839i | 0.209004 | − | 0.0521032i | ||||
\(603\) | −8.73152 | + | 8.73152i | −0.355575 | + | 0.355575i | ||||
\(604\) | −16.2045 | + | 16.2045i | −0.659352 | + | 0.659352i | ||||
\(605\) | 7.75012 | + | 28.9238i | 0.315087 | + | 1.17592i | ||||
\(606\) | −3.83053 | + | 14.2957i | −0.155605 | + | 0.580724i | ||||
\(607\) | − | 22.9576i | − | 0.931820i | −0.884832 | − | 0.465910i | \(-0.845727\pi\) | ||
0.884832 | − | 0.465910i | \(-0.154273\pi\) | |||||||
\(608\) | 2.31222 | − | 4.00488i | 0.0937728 | − | 0.162419i | ||||
\(609\) | −20.0263 | − | 12.0339i | −0.811508 | − | 0.487640i | ||||
\(610\) | − | 2.38482i | − | 0.0965585i | ||||||
\(611\) | −14.5988 | − | 21.8001i | −0.590604 | − | 0.881936i | ||||
\(612\) | 2.03880 | − | 1.17710i | 0.0824134 | − | 0.0475814i | ||||
\(613\) | 4.96217 | − | 4.96217i | 0.200420 | − | 0.200420i | −0.599760 | − | 0.800180i | \(-0.704737\pi\) |
0.800180 | + | 0.599760i | \(0.204737\pi\) | |||||||
\(614\) | 16.3741 | − | 9.45361i | 0.660806 | − | 0.381517i | ||||
\(615\) | −4.33444 | − | 7.50747i | −0.174781 | − | 0.302730i | ||||
\(616\) | −0.0624608 | + | 3.57155i | −0.00251662 | + | 0.143902i | ||||
\(617\) | −11.9872 | − | 3.21195i | −0.482585 | − | 0.129308i | 0.00932104 | − | 0.999957i | \(-0.497033\pi\) |
−0.491906 | + | 0.870648i | \(0.663700\pi\) | |||||||
\(618\) | −10.9937 | − | 10.9937i | −0.442232 | − | 0.442232i | ||||
\(619\) | −4.03018 | − | 1.07988i | −0.161987 | − | 0.0434042i | 0.176914 | − | 0.984226i | \(-0.443388\pi\) |
−0.338901 | + | 0.940822i | \(0.610055\pi\) | |||||||
\(620\) | −3.12830 | + | 5.41837i | −0.125635 | + | 0.217607i | ||||
\(621\) | 0.453801 | + | 0.786006i | 0.0182104 | + | 0.0315413i | ||||
\(622\) | −6.90930 | − | 25.7858i | −0.277038 | − | 1.03392i | ||||
\(623\) | 11.7371 | + | 3.36600i | 0.470239 | + | 0.134856i | ||||
\(624\) | −2.37452 | + | 2.71324i | −0.0950568 | + | 0.108617i | ||||
\(625\) | −10.6748 | + | 18.4892i | −0.426990 | + | 0.739569i | ||||
\(626\) | 14.4616 | + | 14.4616i | 0.578002 | + | 0.578002i | ||||
\(627\) | 6.24356 | 0.249344 | ||||||||
\(628\) | −4.52718 | −0.180654 | ||||||||
\(629\) | 18.9793 | + | 18.9793i | 0.756755 | + | 0.756755i | ||||
\(630\) | −8.63150 | − | 0.150951i | −0.343887 | − | 0.00601405i | ||||
\(631\) | 10.4658 | − | 39.0589i | 0.416637 | − | 1.55491i | −0.364897 | − | 0.931048i | \(-0.618896\pi\) |
0.781534 | − | 0.623862i | \(-0.214437\pi\) | |||||||
\(632\) | −11.9483 | + | 3.20153i | −0.475277 | + | 0.127350i | ||||
\(633\) | 20.0012 | + | 11.5477i | 0.794977 | + | 0.458980i | ||||
\(634\) | − | 18.5477i | − | 0.736625i | ||||||
\(635\) | −31.8694 | − | 8.53937i | −1.26470 | − | 0.338875i | ||||
\(636\) | 7.12635 | 0.282578 | ||||||||
\(637\) | −24.1610 | + | 7.29697i | −0.957294 | + | 0.289117i | ||||
\(638\) | 11.9226 | 0.472018 | ||||||||
\(639\) | 2.14989 | + | 0.576061i | 0.0850484 | + | 0.0227886i | ||||
\(640\) | − | 3.26290i | − | 0.128977i | ||||||
\(641\) | −4.89745 | − | 2.82754i | −0.193438 | − | 0.111681i | 0.400153 | − | 0.916448i | \(-0.368957\pi\) |
−0.593591 | + | 0.804767i | \(0.702290\pi\) | |||||||
\(642\) | −8.33721 | + | 2.23395i | −0.329043 | + | 0.0881669i | ||||
\(643\) | −6.61282 | + | 24.6794i | −0.260784 | + | 0.973259i | 0.703997 | + | 0.710203i | \(0.251397\pi\) |
−0.964781 | + | 0.263056i | \(0.915270\pi\) | |||||||
\(644\) | −2.40092 | − | 0.0419884i | −0.0946095 | − | 0.00165457i | ||||
\(645\) | −4.60877 | − | 4.60877i | −0.181470 | − | 0.181470i | ||||
\(646\) | 10.8868 | 0.428337 | ||||||||
\(647\) | 21.9265 | 0.862018 | 0.431009 | − | 0.902348i | \(-0.358158\pi\) | ||||
0.431009 | + | 0.902348i | \(0.358158\pi\) | |||||||
\(648\) | 0.707107 | + | 0.707107i | 0.0277778 | + | 0.0277778i | ||||
\(649\) | −4.06463 | + | 7.04015i | −0.159551 | + | 0.276350i | ||||
\(650\) | −16.9161 | + | 11.3281i | −0.663502 | + | 0.444325i | ||||
\(651\) | 4.87664 | + | 1.39853i | 0.191131 | + | 0.0548128i | ||||
\(652\) | −4.01756 | − | 14.9937i | −0.157340 | − | 0.587201i | ||||
\(653\) | −19.8235 | − | 34.3354i | −0.775754 | − | 1.34365i | −0.934369 | − | 0.356306i | \(-0.884036\pi\) |
0.158615 | − | 0.987341i | \(-0.449297\pi\) | |||||||
\(654\) | −7.23229 | + | 12.5267i | −0.282805 | + | 0.489832i | ||||
\(655\) | −52.6260 | − | 14.1011i | −2.05627 | − | 0.550975i | ||||
\(656\) | −1.87864 | − | 1.87864i | −0.0733487 | − | 0.0733487i | ||||
\(657\) | 6.21032 | + | 1.66405i | 0.242288 | + | 0.0649208i | ||||
\(658\) | 0.336645 | − | 19.2496i | 0.0131238 | − | 0.750427i | ||||
\(659\) | −10.7732 | − | 18.6598i | −0.419666 | − | 0.726883i | 0.576240 | − | 0.817281i | \(-0.304520\pi\) |
−0.995906 | + | 0.0903977i | \(0.971186\pi\) | |||||||
\(660\) | 3.81512 | − | 2.20266i | 0.148503 | − | 0.0857384i | ||||
\(661\) | −18.8289 | + | 18.8289i | −0.732360 | + | 0.732360i | −0.971087 | − | 0.238727i | \(-0.923270\pi\) |
0.238727 | + | 0.971087i | \(0.423270\pi\) | |||||||
\(662\) | 5.06611 | − | 2.92492i | 0.196900 | − | 0.113680i | ||||
\(663\) | −8.32678 | − | 1.64740i | −0.323385 | − | 0.0639798i | ||||
\(664\) | − | 3.50773i | − | 0.136126i | ||||||
\(665\) | −34.2191 | − | 20.5624i | −1.32696 | − | 0.797377i | ||||
\(666\) | −5.70063 | + | 9.87378i | −0.220895 | + | 0.382601i | ||||
\(667\) | 8.01476i | 0.310333i | ||||||||
\(668\) | −6.07764 | + | 22.6820i | −0.235151 | + | 0.877595i | ||||
\(669\) | 2.82498 | + | 10.5430i | 0.109220 | + | 0.407614i | ||||
\(670\) | −28.4901 | + | 28.4901i | −1.10067 | + | 1.10067i | ||||
\(671\) | 0.697767 | − | 0.697767i | 0.0269370 | − | 0.0269370i | ||||
\(672\) | −2.56718 | + | 0.639979i | −0.0990312 | + | 0.0246877i | ||||
\(673\) | −11.5158 | − | 6.64864i | −0.443901 | − | 0.256286i | 0.261350 | − | 0.965244i | \(-0.415832\pi\) |
−0.705251 | + | 0.708958i | \(0.749166\pi\) | |||||||
\(674\) | −1.18749 | + | 4.43176i | −0.0457402 | + | 0.170705i | ||||
\(675\) | 2.82325 | + | 4.89002i | 0.108667 | + | 0.188217i | ||||
\(676\) | 12.8853 | − | 1.72334i | 0.495587 | − | 0.0662822i | ||||
\(677\) | −5.69857 | − | 3.29007i | −0.219014 | − | 0.126448i | 0.386480 | − | 0.922298i | \(-0.373691\pi\) |
−0.605494 | + | 0.795850i | \(0.707024\pi\) | |||||||
\(678\) | 2.49153 | − | 0.667603i | 0.0956866 | − | 0.0256391i | ||||
\(679\) | 6.58909 | − | 22.9760i | 0.252866 | − | 0.881738i | ||||
\(680\) | 6.65238 | − | 3.84075i | 0.255107 | − | 0.147286i | ||||
\(681\) | −2.86377 | − | 10.6877i | −0.109740 | − | 0.409555i | ||||
\(682\) | −2.50065 | + | 0.670046i | −0.0957547 | + | 0.0256574i | ||||
\(683\) | −26.4973 | + | 7.09993i | −1.01389 | + | 0.271671i | −0.727254 | − | 0.686368i | \(-0.759204\pi\) |
−0.286637 | + | 0.958039i | \(0.592537\pi\) | |||||||
\(684\) | 1.19689 | + | 4.46686i | 0.0457643 | + | 0.170795i | ||||
\(685\) | −13.4054 | + | 7.73959i | −0.512193 | + | 0.295715i | ||||
\(686\) | −17.6132 | − | 5.72484i | −0.672477 | − | 0.218575i | ||||
\(687\) | 2.45543 | − | 0.657930i | 0.0936805 | − | 0.0251016i | ||||
\(688\) | −1.72993 | − | 0.998773i | −0.0659528 | − | 0.0380779i | ||||
\(689\) | −19.3355 | − | 16.9216i | −0.736623 | − | 0.644663i | ||||
\(690\) | 1.48071 | + | 2.56466i | 0.0563695 | + | 0.0976348i | ||||
\(691\) | −5.80273 | + | 21.6561i | −0.220746 | + | 0.823836i | 0.763318 | + | 0.646023i | \(0.223569\pi\) |
−0.984064 | + | 0.177813i | \(0.943098\pi\) | |||||||
\(692\) | −6.98619 | − | 4.03348i | −0.265575 | − | 0.153330i | ||||
\(693\) | −2.48130 | − | 2.56963i | −0.0942567 | − | 0.0976122i | ||||
\(694\) | 20.3378 | − | 20.3378i | 0.772011 | − | 0.772011i | ||||
\(695\) | 17.5976 | − | 17.5976i | 0.667515 | − | 0.667515i | ||||
\(696\) | 2.28556 | + | 8.52981i | 0.0866338 | + | 0.323322i | ||||
\(697\) | 1.61882 | − | 6.04152i | 0.0613172 | − | 0.228839i | ||||
\(698\) | 16.9845i | 0.642872i | ||||||||
\(699\) | −13.1329 | + | 22.7469i | −0.496732 | + | 0.860365i | ||||
\(700\) | −14.9370 | − | 0.261224i | −0.564564 | − | 0.00987335i | ||||
\(701\) | − | 0.0631558i | − | 0.00238536i | −0.999999 | − | 0.00119268i | \(-0.999620\pi\) | ||
0.999999 | − | 0.00119268i | \(-0.000379642\pi\) | |||||||
\(702\) | −0.239513 | − | 3.59759i | −0.00903984 | − | 0.135782i | ||||
\(703\) | −45.6606 | + | 26.3622i | −1.72212 | + | 0.994269i | ||||
\(704\) | 0.954682 | − | 0.954682i | 0.0359809 | − | 0.0359809i | ||||
\(705\) | −20.5623 | + | 11.8717i | −0.774423 | + | 0.447113i | ||||
\(706\) | 14.4133 | + | 24.9645i | 0.542451 | + | 0.939552i | ||||
\(707\) | 39.1512 | + | 0.684694i | 1.47243 | + | 0.0257506i | ||||
\(708\) | −5.81596 | − | 1.55838i | −0.218577 | − | 0.0585676i | ||||
\(709\) | −4.89726 | − | 4.89726i | −0.183920 | − | 0.183920i | 0.609141 | − | 0.793062i | \(-0.291514\pi\) |
−0.793062 | + | 0.609141i | \(0.791514\pi\) | |||||||
\(710\) | 7.01487 | + | 1.87963i | 0.263263 | + | 0.0705412i | ||||
\(711\) | 6.18489 | − | 10.7125i | 0.231951 | − | 0.401752i | ||||
\(712\) | −2.30752 | − | 3.99675i | −0.0864781 | − | 0.149784i | ||||
\(713\) | −0.450429 | − | 1.68102i | −0.0168687 | − | 0.0629548i | ||||
\(714\) | −4.32661 | − | 4.48064i | −0.161919 | − | 0.167684i | ||||
\(715\) | −15.5816 | − | 3.08272i | −0.582718 | − | 0.115287i | ||||
\(716\) | −8.86485 | + | 15.3544i | −0.331295 | + | 0.573820i | ||||
\(717\) | 9.09071 | + | 9.09071i | 0.339499 | + | 0.339499i | ||||
\(718\) | −26.7713 | −0.999094 | ||||||||
\(719\) | 10.3766 | 0.386983 | 0.193491 | − | 0.981102i | \(-0.438019\pi\) | ||||
0.193491 | + | 0.981102i | \(0.438019\pi\) | |||||||
\(720\) | 2.30722 | + | 2.30722i | 0.0859849 | + | 0.0859849i | ||||
\(721\) | −21.1871 | + | 35.2586i | −0.789050 | + | 1.31310i | ||||
\(722\) | −0.617388 | + | 2.30412i | −0.0229768 | + | 0.0857506i | ||||
\(723\) | −0.933794 | + | 0.250209i | −0.0347282 | + | 0.00930539i | ||||
\(724\) | 4.24484 | + | 2.45076i | 0.157758 | + | 0.0910817i | ||||
\(725\) | 49.8626i | 1.85185i | ||||||||
\(726\) | −8.86446 | − | 2.37522i | −0.328991 | − | 0.0881529i | ||||
\(727\) | 50.1687 | 1.86065 | 0.930327 | − | 0.366730i | \(-0.119523\pi\) | ||||
0.930327 | + | 0.366730i | \(0.119523\pi\) | |||||||
\(728\) | 8.48502 | + | 4.35940i | 0.314476 | + | 0.161570i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 20.2636 | + | 5.42963i | 0.749991 | + | 0.200959i | ||||
\(731\) | − | 4.70262i | − | 0.173933i | ||||||
\(732\) | 0.632969 | + | 0.365445i | 0.0233952 | + | 0.0135072i | ||||
\(733\) | −13.8923 | + | 3.72244i | −0.513125 | + | 0.137491i | −0.506085 | − | 0.862484i | \(-0.668908\pi\) |
−0.00704017 | + | 0.999975i | \(0.502241\pi\) | |||||||
\(734\) | −2.98507 | + | 11.1404i | −0.110181 | + | 0.411201i | ||||
\(735\) | 5.13646 | + | 22.2552i | 0.189461 | + | 0.820897i | ||||
\(736\) | 0.641771 | + | 0.641771i | 0.0236560 | + | 0.0236560i | ||||
\(737\) | −16.6717 | −0.614108 | ||||||||
\(738\) | 2.65680 | 0.0977982 | ||||||||
\(739\) | −24.4423 | − | 24.4423i | −0.899126 | − | 0.899126i | 0.0962327 | − | 0.995359i | \(-0.469321\pi\) |
−0.995359 | + | 0.0962327i | \(0.969321\pi\) | |||||||
\(740\) | −18.6006 | + | 32.2171i | −0.683770 | + | 1.18432i | ||||
\(741\) | 7.35918 | − | 14.9617i | 0.270346 | − | 0.549632i | ||||
\(742\) | −4.56072 | − | 18.2946i | −0.167429 | − | 0.671617i | ||||
\(743\) | −0.470553 | − | 1.75613i | −0.0172629 | − | 0.0644261i | 0.956757 | − | 0.290888i | \(-0.0939507\pi\) |
−0.974020 | + | 0.226462i | \(0.927284\pi\) | |||||||
\(744\) | −0.958748 | − | 1.66060i | −0.0351494 | − | 0.0608806i | ||||
\(745\) | 24.9754 | − | 43.2587i | 0.915029 | − | 1.58488i | ||||
\(746\) | −6.20777 | − | 1.66337i | −0.227283 | − | 0.0609002i | ||||
\(747\) | 2.48034 | + | 2.48034i | 0.0907509 | + | 0.0907509i | ||||
\(748\) | 3.07016 | + | 0.822646i | 0.112256 | + | 0.0300789i | ||||
\(749\) | 11.0706 | + | 19.9735i | 0.404511 | + | 0.729814i | ||||
\(750\) | 1.05474 | + | 1.82686i | 0.0385135 | + | 0.0667074i | ||||
\(751\) | −19.0010 | + | 10.9702i | −0.693357 | + | 0.400310i | −0.804869 | − | 0.593453i | \(-0.797764\pi\) |
0.111511 | + | 0.993763i | \(0.464431\pi\) | |||||||
\(752\) | −5.14545 | + | 5.14545i | −0.187635 | + | 0.187635i | ||||
\(753\) | −12.1256 | + | 7.00072i | −0.441882 | + | 0.255121i | ||||
\(754\) | 14.0529 | − | 28.5705i | 0.511777 | − | 1.04048i | ||||
\(755\) | − | 74.7747i | − | 2.72133i | ||||||
\(756\) | 1.36274 | − | 2.26781i | 0.0495623 | − | 0.0824793i | ||||
\(757\) | 3.21431 | − | 5.56735i | 0.116826 | − | 0.202349i | −0.801682 | − | 0.597751i | \(-0.796061\pi\) |
0.918508 | + | 0.395402i | \(0.129395\pi\) | |||||||
\(758\) | 19.2793i | 0.700256i | ||||||||
\(759\) | −0.317150 | + | 1.18362i | −0.0115118 | + | 0.0429627i | ||||
\(760\) | 3.90534 | + | 14.5749i | 0.141661 | + | 0.528688i | ||||
\(761\) | 1.13229 | − | 1.13229i | 0.0410455 | − | 0.0410455i | −0.686286 | − | 0.727332i | \(-0.740760\pi\) |
0.727332 | + | 0.686286i | \(0.240760\pi\) | |||||||
\(762\) | 7.15008 | − | 7.15008i | 0.259020 | − | 0.259020i | ||||
\(763\) | 36.7868 | + | 10.5498i | 1.33177 | + | 0.381928i | ||||
\(764\) | 1.50368 | + | 0.868151i | 0.0544013 | + | 0.0314086i | ||||
\(765\) | −1.98812 | + | 7.41977i | −0.0718806 | + | 0.268262i | ||||
\(766\) | −5.42345 | − | 9.39369i | −0.195957 | − | 0.339408i | ||||
\(767\) | 12.0797 | + | 18.0384i | 0.436172 | + | 0.651328i | ||||
\(768\) | 0.866025 | + | 0.500000i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | −25.2697 | + | 6.77100i | −0.911249 | + | 0.244168i | −0.683841 | − | 0.729631i | \(-0.739692\pi\) |
−0.227408 | + | 0.973800i | \(0.573025\pi\) | |||||||
\(770\) | −8.09622 | − | 8.38444i | −0.291768 | − | 0.302154i | ||||
\(771\) | −27.3994 | + | 15.8191i | −0.986767 | + | 0.569710i | ||||
\(772\) | −5.40357 | − | 20.1664i | −0.194479 | − | 0.725805i | ||||
\(773\) | 0.0523937 | − | 0.0140389i | 0.00188447 | − | 0.000504943i | −0.257877 | − | 0.966178i | \(-0.583023\pi\) |
0.259761 | + | 0.965673i | \(0.416356\pi\) | |||||||
\(774\) | 1.92948 | − | 0.517003i | 0.0693537 | − | 0.0185833i | ||||
\(775\) | −2.80227 | − | 10.4582i | −0.100661 | − | 0.375670i | ||||
\(776\) | −7.82382 | + | 4.51708i | −0.280859 | + | 0.162154i | ||||
\(777\) | 28.9961 | + | 8.31554i | 1.04023 | + | 0.298318i | ||||
\(778\) | −5.10373 | + | 1.36754i | −0.182977 | + | 0.0490287i | ||||
\(779\) | 10.6402 | + | 6.14310i | 0.381224 | + | 0.220100i | ||||
\(780\) | −0.781507 | − | 11.7386i | −0.0279824 | − | 0.420308i | ||||
\(781\) | 1.50251 | + | 2.60242i | 0.0537639 | + | 0.0931218i | ||||
\(782\) | −0.553012 | + | 2.06387i | −0.0197757 | + | 0.0738038i | ||||
\(783\) | −7.64762 | − | 4.41535i | −0.273304 | − | 0.157792i | ||||
\(784\) | 3.28589 | + | 6.18085i | 0.117353 | + | 0.220745i | ||||
\(785\) | 10.4452 | − | 10.4452i | 0.372805 | − | 0.372805i | ||||
\(786\) | 11.8070 | − | 11.8070i | 0.421140 | − | 0.421140i | ||||
\(787\) | 8.38264 | + | 31.2844i | 0.298809 | + | 1.11517i | 0.938145 | + | 0.346243i | \(0.112543\pi\) |
−0.639336 | + | 0.768927i | \(0.720791\pi\) | |||||||
\(788\) | −0.834638 | + | 3.11491i | −0.0297327 | + | 0.110964i | ||||
\(789\) | − | 12.1909i | − | 0.434006i | ||||||
\(790\) | 20.1807 | − | 34.9539i | 0.717995 | − | 1.24360i | ||||
\(791\) | −3.30839 | − | 5.96896i | −0.117633 | − | 0.212232i | ||||
\(792\) | 1.35012i | 0.0479746i | ||||||||
\(793\) | −0.849641 | − | 2.49453i | −0.0301717 | − | 0.0885835i | ||||
\(794\) | −18.0051 | + | 10.3953i | −0.638978 | + | 0.368914i | ||||
\(795\) | −16.4420 | + | 16.4420i | −0.583139 | + | 0.583139i | ||||
\(796\) | 2.84688 | − | 1.64365i | 0.100905 | − | 0.0582575i | ||||
\(797\) | 12.7099 | + | 22.0142i | 0.450209 | + | 0.779784i | 0.998399 | − | 0.0565694i | \(-0.0180162\pi\) |
−0.548190 | + | 0.836354i | \(0.684683\pi\) | |||||||
\(798\) | 10.7013 | − | 5.93134i | 0.378821 | − | 0.209967i | ||||
\(799\) | −16.5472 | − | 4.43382i | −0.585399 | − | 0.156857i | ||||
\(800\) | 3.99268 | + | 3.99268i | 0.141163 | + | 0.141163i | ||||
\(801\) | 4.45779 | + | 1.19446i | 0.157508 | + | 0.0422042i | ||||
\(802\) | −18.3926 | + | 31.8569i | −0.649464 | + | 1.12490i | ||||
\(803\) | 4.34024 | + | 7.51752i | 0.153164 | + | 0.265287i | ||||
\(804\) | −3.19596 | − | 11.9275i | −0.112713 | − | 0.420650i | ||||
\(805\) | 5.63632 | − | 5.44257i | 0.198654 | − | 0.191825i | ||||
\(806\) | −1.34181 | + | 6.78217i | −0.0472633 | + | 0.238892i | ||||
\(807\) | −7.98287 | + | 13.8267i | −0.281010 | + | 0.486724i | ||||
\(808\) | −10.4652 | − | 10.4652i | −0.368164 | − | 0.368164i | ||||
\(809\) | −21.2591 | −0.747430 | −0.373715 | − | 0.927544i | \(-0.621916\pi\) | ||||
−0.373715 | + | 0.927544i | \(0.621916\pi\) | |||||||
\(810\) | −3.26290 | −0.114647 | ||||||||
\(811\) | −12.7475 | − | 12.7475i | −0.447627 | − | 0.447627i | 0.446938 | − | 0.894565i | \(-0.352514\pi\) |
−0.894565 | + | 0.446938i | \(0.852514\pi\) | |||||||
\(812\) | 20.4349 | − | 11.3263i | 0.717123 | − | 0.397477i | ||||
\(813\) | 6.99135 | − | 26.0921i | 0.245197 | − | 0.915089i | ||||
\(814\) | −14.8686 | + | 3.98403i | −0.521144 | + | 0.139640i | ||||
\(815\) | 43.8632 | + | 25.3244i | 1.53646 | + | 0.887077i | ||||
\(816\) | 2.35420i | 0.0824134i | ||||||||
\(817\) | 8.92276 | + | 2.39085i | 0.312168 | + | 0.0836451i | ||||
\(818\) | −9.56160 | −0.334313 | ||||||||
\(819\) | −9.08238 | + | 2.91726i | −0.317364 | + | 0.101937i | ||||
\(820\) | 8.66887 | 0.302730 | ||||||||
\(821\) | −14.9767 | − | 4.01300i | −0.522691 | − | 0.140055i | −0.0121801 | − | 0.999926i | \(-0.503877\pi\) |
−0.510511 | + | 0.859871i | \(0.670544\pi\) | |||||||
\(822\) | − | 4.74400i | − | 0.165466i | ||||||
\(823\) | 25.1368 | + | 14.5127i | 0.876213 | + | 0.505882i | 0.869408 | − | 0.494095i | \(-0.164501\pi\) |
0.00680487 | + | 0.999977i | \(0.497834\pi\) | |||||||
\(824\) | 15.0177 | − | 4.02398i | 0.523166 | − | 0.140182i | ||||
\(825\) | −1.97310 | + | 7.36372i | −0.0686946 | + | 0.256372i | ||||
\(826\) | −0.278555 | + | 15.9280i | −0.00969218 | + | 0.554205i | ||||
\(827\) | −9.10517 | − | 9.10517i | −0.316618 | − | 0.316618i | 0.530849 | − | 0.847467i | \(-0.321873\pi\) |
−0.847467 | + | 0.530849i | \(0.821873\pi\) | |||||||
\(828\) | −0.907601 | −0.0315413 | ||||||||
\(829\) | 5.46690 | 0.189873 | 0.0949367 | − | 0.995483i | \(-0.469735\pi\) | ||||
0.0949367 | + | 0.995483i | \(0.469735\pi\) | |||||||
\(830\) | 8.09310 | + | 8.09310i | 0.280916 | + | 0.280916i | ||||
\(831\) | −14.7942 | + | 25.6243i | −0.513205 | + | 0.888898i | ||||
\(832\) | −1.16248 | − | 3.41301i | −0.0403016 | − | 0.118325i | ||||
\(833\) | −8.73368 | + | 13.9747i | −0.302604 | + | 0.484196i | ||||
\(834\) | 1.97406 | + | 7.36731i | 0.0683563 | + | 0.255109i | ||||
\(835\) | −38.3100 | − | 66.3548i | −1.32577 | − | 2.29630i | ||||
\(836\) | −3.12178 | + | 5.40708i | −0.107969 | + | 0.187008i | ||||
\(837\) | 1.85216 | + | 0.496285i | 0.0640200 | + | 0.0171541i | ||||
\(838\) | 11.4974 | + | 11.4974i | 0.397170 | + | 0.397170i | ||||
\(839\) | −39.3013 | − | 10.5308i | −1.35683 | − | 0.363562i | −0.494180 | − | 0.869360i | \(-0.664532\pi\) |
−0.862652 | + | 0.505798i | \(0.831198\pi\) | |||||||
\(840\) | 4.44648 | − | 7.39962i | 0.153418 | − | 0.255311i | ||||
\(841\) | −24.4907 | − | 42.4191i | −0.844507 | − | 1.46273i | ||||
\(842\) | 18.2847 | − | 10.5567i | 0.630132 | − | 0.363807i | ||||
\(843\) | −5.11259 | + | 5.11259i | −0.176087 | + | 0.176087i | ||||
\(844\) | −20.0012 | + | 11.5477i | −0.688470 | + | 0.397489i | ||||
\(845\) | −25.7530 | + | 33.7052i | −0.885930 | + | 1.15950i | ||||
\(846\) | − | 7.27677i | − | 0.250180i | ||||||
\(847\) | −0.424563 | + | 24.2768i | −0.0145882 | + | 0.834160i | ||||
\(848\) | −3.56317 | + | 6.17160i | −0.122360 | + | 0.211933i | ||||
\(849\) | 19.7916i | 0.679247i | ||||||||
\(850\) | −3.44048 | + | 12.8400i | −0.118007 | + | 0.440410i | ||||
\(851\) | −2.67821 | − | 9.99520i | −0.0918077 | − | 0.342631i | ||||
\(852\) | −1.57383 | + | 1.57383i | −0.0539185 | + | 0.0539185i | ||||
\(853\) | 24.1236 | − | 24.1236i | 0.825975 | − | 0.825975i | −0.160982 | − | 0.986957i | \(-0.551466\pi\) |
0.986957 | + | 0.160982i | \(0.0514662\pi\) | |||||||
\(854\) | 0.533076 | − | 1.85882i | 0.0182415 | − | 0.0636076i | ||||
\(855\) | −13.0675 | − | 7.54453i | −0.446899 | − | 0.258018i | ||||
\(856\) | 2.23395 | − | 8.33721i | 0.0763548 | − | 0.284960i | ||||
\(857\) | −5.67732 | − | 9.83340i | −0.193934 | − | 0.335903i | 0.752617 | − | 0.658459i | \(-0.228791\pi\) |
−0.946550 | + | 0.322556i | \(0.895458\pi\) | |||||||
\(858\) | 3.20589 | − | 3.66321i | 0.109447 | − | 0.125060i | ||||
\(859\) | 10.0106 | + | 5.77961i | 0.341557 | + | 0.197198i | 0.660960 | − | 0.750421i | \(-0.270149\pi\) |
−0.319404 | + | 0.947619i | \(0.603483\pi\) | |||||||
\(860\) | 6.29570 | − | 1.68693i | 0.214682 | − | 0.0575237i | ||||
\(861\) | −1.70030 | − | 6.82050i | −0.0579460 | − | 0.232442i | ||||
\(862\) | 15.8083 | − | 9.12693i | 0.538433 | − | 0.310864i | ||||
\(863\) | 8.23379 | + | 30.7289i | 0.280281 | + | 1.04602i | 0.952219 | + | 0.305416i | \(0.0987956\pi\) |
−0.671938 | + | 0.740608i | \(0.734538\pi\) | |||||||
\(864\) | −0.965926 | + | 0.258819i | −0.0328615 | + | 0.00880520i | ||||
\(865\) | 25.4248 | − | 6.81254i | 0.864468 | − | 0.231633i | ||||
\(866\) | 0.140988 | + | 0.526176i | 0.00479098 | + | 0.0178802i | ||||
\(867\) | 9.92270 | − | 5.72888i | 0.336993 | − | 0.194563i | ||||
\(868\) | −3.64949 | + | 3.52403i | −0.123872 | + | 0.119613i | ||||
\(869\) | 16.1317 | − | 4.32247i | 0.547229 | − | 0.146630i | ||||
\(870\) | −24.9534 | − | 14.4068i | −0.845999 | − | 0.488438i | ||||
\(871\) | −19.6506 | + | 39.9510i | −0.665836 | + | 1.35369i | ||||
\(872\) | −7.23229 | − | 12.5267i | −0.244916 | − | 0.424207i | ||||
\(873\) | 2.33821 | − | 8.72634i | 0.0791366 | − | 0.295342i | ||||
\(874\) | −3.63483 | − | 2.09857i | −0.122950 | − | 0.0709853i | ||||
\(875\) | 4.01487 | − | 3.87685i | 0.135727 | − | 0.131062i | ||||
\(876\) | −4.54627 | + | 4.54627i | −0.153604 | + | 0.153604i | ||||
\(877\) | 19.3180 | − | 19.3180i | 0.652323 | − | 0.652323i | −0.301229 | − | 0.953552i | \(-0.597397\pi\) |
0.953552 | + | 0.301229i | \(0.0973967\pi\) | |||||||
\(878\) | 2.63542 | + | 9.83551i | 0.0889411 | + | 0.331933i | ||||
\(879\) | 3.37106 | − | 12.5810i | 0.113703 | − | 0.424346i | ||||
\(880\) | 4.40532i | 0.148503i | ||||||||
\(881\) | −2.63093 | + | 4.55691i | −0.0886384 | + | 0.153526i | −0.906936 | − | 0.421269i | \(-0.861585\pi\) |
0.818297 | + | 0.574795i | \(0.194918\pi\) | |||||||
\(882\) | −6.69400 | − | 2.04705i | −0.225399 | − | 0.0689277i | ||||
\(883\) | 23.4641i | 0.789630i | 0.918761 | + | 0.394815i | \(0.129191\pi\) | ||||
−0.918761 | + | 0.394815i | \(0.870809\pi\) | |||||||
\(884\) | 5.59008 | − | 6.38750i | 0.188015 | − | 0.214835i | ||||
\(885\) | 17.0142 | − | 9.82316i | 0.571926 | − | 0.330202i | ||||
\(886\) | −12.7258 | + | 12.7258i | −0.427531 | + | 0.427531i | ||||
\(887\) | −19.2357 | + | 11.1057i | −0.645872 | + | 0.372894i | −0.786873 | − | 0.617115i | \(-0.788301\pi\) |
0.141001 | + | 0.990009i | \(0.454968\pi\) | |||||||
\(888\) | −5.70063 | − | 9.87378i | −0.191301 | − | 0.331342i | ||||
\(889\) | −22.9315 | − | 13.7797i | −0.769097 | − | 0.462155i | ||||
\(890\) | 14.5453 | + | 3.89741i | 0.487560 | + | 0.130641i | ||||
\(891\) | −0.954682 | − | 0.954682i | −0.0319830 | − | 0.0319830i | ||||
\(892\) | −10.5430 | − | 2.82498i | −0.353004 | − | 0.0945872i | ||||
\(893\) | 16.8255 | − | 29.1426i | 0.563043 | − | 0.975219i | ||||
\(894\) | 7.65437 | + | 13.2578i | 0.256000 | + | 0.443406i | ||||
\(895\) | −14.9727 | − | 55.8790i | −0.500483 | − | 1.86783i | ||||
\(896\) | 0.729353 | − | 2.54324i | 0.0243660 | − | 0.0849635i | ||||
\(897\) | 2.46254 | + | 2.15512i | 0.0822218 | + | 0.0719572i | ||||
\(898\) | −13.7062 | + | 23.7398i | −0.457381 | + | 0.792208i | ||||
\(899\) | 11.9733 | + | 11.9733i | 0.399333 | + | 0.399333i | ||||
\(900\) | −5.64650 | −0.188217 | ||||||||
\(901\) | −16.7768 | −0.558917 | ||||||||
\(902\) | 2.53640 | + | 2.53640i | 0.0844529 | + | 0.0844529i | ||||
\(903\) | −2.56207 | − | 4.62246i | −0.0852603 | − | 0.153826i | ||||
\(904\) | −0.667603 | + | 2.49153i | −0.0222042 | + | 0.0828670i | ||||
\(905\) | −15.4482 | + | 4.13933i | −0.513515 | + | 0.137596i | ||||
\(906\) | 19.8464 | + | 11.4583i | 0.659352 | + | 0.380677i | ||||
\(907\) | − | 34.6022i | − | 1.14895i | −0.818523 | − | 0.574474i | \(-0.805207\pi\) | ||
0.818523 | − | 0.574474i | \(-0.194793\pi\) | |||||||
\(908\) | 10.6877 | + | 2.86377i | 0.354685 | + | 0.0950376i | ||||
\(909\) | 14.8000 | 0.490886 | ||||||||
\(910\) | −29.6349 | + | 9.51871i | −0.982387 | + | 0.315542i | ||||
\(911\) | −39.6228 | −1.31276 | −0.656381 | − | 0.754430i | \(-0.727914\pi\) | ||||
−0.656381 | + | 0.754430i | \(0.727914\pi\) | |||||||
\(912\) | −4.46686 | − | 1.19689i | −0.147913 | − | 0.0396331i | ||||
\(913\) | 4.73587i | 0.156735i | ||||||||
\(914\) | 34.5586 | + | 19.9524i | 1.14310 | + | 0.659967i | ||||
\(915\) | −2.30356 | + | 0.617236i | −0.0761533 | + | 0.0204052i | ||||
\(916\) | −0.657930 | + | 2.45543i | −0.0217386 | + | 0.0811297i | ||||
\(917\) | −37.8668 | − | 22.7544i | −1.25047 | − | 0.751416i | ||||
\(918\) | −1.66467 | − | 1.66467i | −0.0549423 | − | 0.0549423i | ||||
\(919\) | 5.46913 | 0.180410 | 0.0902050 | − | 0.995923i | \(-0.471248\pi\) | ||||
0.0902050 | + | 0.995923i | \(0.471248\pi\) | |||||||
\(920\) | −2.96141 | −0.0976348 | ||||||||
\(921\) | −13.3694 | − | 13.3694i | −0.440538 | − | 0.440538i | ||||
\(922\) | 12.4166 | − | 21.5062i | 0.408920 | − | 0.708270i | ||||
\(923\) | 8.00726 | − | 0.533091i | 0.263562 | − | 0.0175469i | ||||
\(924\) | 3.46602 | − | 0.864052i | 0.114024 | − | 0.0284252i | ||||
\(925\) | −16.6620 | − | 62.1836i | −0.547845 | − | 2.04458i | ||||
\(926\) | −0.574363 | − | 0.994827i | −0.0188748 | − | 0.0326920i | ||||
\(927\) | −7.77373 | + | 13.4645i | −0.255323 | + | 0.442232i | ||||
\(928\) | −8.52981 | − | 2.28556i | −0.280005 | − | 0.0750270i | ||||
\(929\) | 15.2246 | + | 15.2246i | 0.499502 | + | 0.499502i | 0.911283 | − | 0.411781i | \(-0.135093\pi\) |
−0.411781 | + | 0.911283i | \(0.635093\pi\) | |||||||
\(930\) | 6.04341 | + | 1.61933i | 0.198171 | + | 0.0530998i | ||||
\(931\) | −22.0754 | − | 23.6762i | −0.723493 | − | 0.775955i | ||||
\(932\) | −13.1329 | − | 22.7469i | −0.430183 | − | 0.745098i | ||||
\(933\) | −23.1190 | + | 13.3477i | −0.756881 | + | 0.436985i | ||||
\(934\) | 23.1784 | − | 23.1784i | 0.758421 | − | 0.758421i | ||||
\(935\) | −8.98154 | + | 5.18549i | −0.293728 | + | 0.169584i | ||||
\(936\) | 3.23536 | + | 1.59137i | 0.105751 | + | 0.0520155i | ||||
\(937\) | − | 9.49034i | − | 0.310036i | −0.987912 | − | 0.155018i | \(-0.950456\pi\) | ||
0.987912 | − | 0.155018i | \(-0.0495435\pi\) | |||||||
\(938\) | −28.5747 | + | 15.8380i | −0.932996 | + | 0.517128i | ||||
\(939\) | 10.2259 | − | 17.7118i | 0.333710 | − | 0.578002i | ||||
\(940\) | − | 23.7434i | − | 0.774423i | ||||||
\(941\) | −13.1769 | + | 49.1768i | −0.429554 | + | 1.60312i | 0.324219 | + | 0.945982i | \(0.394898\pi\) |
−0.753773 | + | 0.657135i | \(0.771768\pi\) | |||||||
\(942\) | 1.17172 | + | 4.37292i | 0.0381767 | + | 0.142477i | ||||
\(943\) | −1.70506 | + | 1.70506i | −0.0555244 | + | 0.0555244i | ||||
\(944\) | 4.25758 | − | 4.25758i | 0.138572 | − | 0.138572i | ||||
\(945\) | 2.08819 | + | 8.37645i | 0.0679288 | + | 0.272486i | ||||
\(946\) | 2.33561 | + | 1.34847i | 0.0759373 | + | 0.0438424i | ||||
\(947\) | −0.878781 | + | 3.27965i | −0.0285565 | + | 0.106574i | −0.978733 | − | 0.205138i | \(-0.934236\pi\) |
0.950177 | + | 0.311712i | \(0.100902\pi\) | |||||||
\(948\) | 6.18489 | + | 10.7125i | 0.200876 | + | 0.347927i | ||||
\(949\) | 23.1303 | − | 1.53992i | 0.750842 | − | 0.0499880i | ||||
\(950\) | −22.6136 | − | 13.0559i | −0.733681 | − | 0.423591i | ||||
\(951\) | −17.9157 | + | 4.80051i | −0.580958 | + | 0.155667i | ||||
\(952\) | 6.04366 | − | 1.50664i | 0.195876 | − | 0.0488304i | ||||
\(953\) | −40.7371 | + | 23.5196i | −1.31960 | + | 0.761873i | −0.983665 | − | 0.180011i | \(-0.942387\pi\) |
−0.335938 | + | 0.941884i | \(0.609053\pi\) | |||||||
\(954\) | −1.84443 | − | 6.88352i | −0.0597158 | − | 0.222862i | ||||
\(955\) | −5.47233 | + | 1.46631i | −0.177080 | + | 0.0474486i | ||||
\(956\) | −12.4181 | + | 3.32743i | −0.401631 | + | 0.107617i | ||||
\(957\) | −3.08578 | − | 11.5163i | −0.0997492 | − | 0.372269i | ||||
\(958\) | −1.82838 | + | 1.05562i | −0.0590723 | + | 0.0341054i | ||||
\(959\) | −12.1787 | + | 3.03606i | −0.393271 | + | 0.0980396i | ||||
\(960\) | −3.15172 | + | 0.844500i | −0.101721 | + | 0.0272561i | ||||
\(961\) | 23.6626 | + | 13.6616i | 0.763309 | + | 0.440697i | ||||
\(962\) | −7.97828 | + | 40.3262i | −0.257230 | + | 1.30017i | ||||
\(963\) | 4.31566 | + | 7.47494i | 0.139070 | + | 0.240877i | ||||
\(964\) | 0.250209 | − | 0.933794i | 0.00805870 | − | 0.0300755i | ||||
\(965\) | 58.9955 | + | 34.0611i | 1.89913 | + | 1.09646i | ||||
\(966\) | 0.580846 | + | 2.32998i | 0.0186884 | + | 0.0749658i | ||||
\(967\) | −17.3419 | + | 17.3419i | −0.557679 | + | 0.557679i | −0.928646 | − | 0.370967i | \(-0.879026\pi\) |
0.370967 | + | 0.928646i | \(0.379026\pi\) | |||||||
\(968\) | 6.48924 | − | 6.48924i | 0.208572 | − | 0.208572i | ||||
\(969\) | −2.81772 | − | 10.5159i | −0.0905182 | − | 0.337819i | ||||
\(970\) | 7.62936 | − | 28.4731i | 0.244964 | − | 0.914217i | ||||
\(971\) | 34.1823i | 1.09696i | 0.836163 | + | 0.548481i | \(0.184794\pi\) | ||||
−0.836163 | + | 0.548481i | \(0.815206\pi\) | |||||||
\(972\) | 0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | ||||
\(973\) | 17.6499 | − | 9.78271i | 0.565829 | − | 0.313619i | ||||
\(974\) | − | 16.0715i | − | 0.514965i | ||||||
\(975\) | 15.3203 | + | 13.4077i | 0.490643 | + | 0.429391i | ||||
\(976\) | −0.632969 | + | 0.365445i | −0.0202608 | + | 0.0116976i | ||||
\(977\) | −10.2646 | + | 10.2646i | −0.328393 | + | 0.328393i | −0.851975 | − | 0.523582i | \(-0.824595\pi\) |
0.523582 | + | 0.851975i | \(0.324595\pi\) | |||||||
\(978\) | −13.4430 | + | 7.76134i | −0.429861 | + | 0.248180i | ||||
\(979\) | 3.11544 | + | 5.39610i | 0.0995700 | + | 0.172460i | ||||
\(980\) | −21.8418 | − | 6.67931i | −0.697712 | − | 0.213363i | ||||
\(981\) | 13.9717 | + | 3.74371i | 0.446082 | + | 0.119527i | ||||
\(982\) | 5.33241 | + | 5.33241i | 0.170164 | + | 0.170164i | ||||
\(983\) | −36.3649 | − | 9.74394i | −1.15986 | − | 0.310784i | −0.372950 | − | 0.927851i | \(-0.621654\pi\) |
−0.786910 | + | 0.617068i | \(0.788320\pi\) | |||||||
\(984\) | −1.32840 | + | 2.30086i | −0.0423479 | + | 0.0733487i | ||||
\(985\) | −5.26108 | − | 9.11247i | −0.167632 | − | 0.290347i | ||||
\(986\) | −5.38065 | − | 20.0809i | −0.171355 | − | 0.639505i | ||||
\(987\) | −18.6808 | + | 4.65698i | −0.594616 | + | 0.148233i | ||||
\(988\) | 9.27763 | + | 13.8541i | 0.295161 | + | 0.440757i | ||||
\(989\) | −0.906488 | + | 1.57008i | −0.0288246 | + | 0.0499257i | ||||
\(990\) | −3.11503 | − | 3.11503i | −0.0990021 | − | 0.0990021i | ||||
\(991\) | 31.2388 | 0.992334 | 0.496167 | − | 0.868227i | \(-0.334740\pi\) | ||||
0.496167 | + | 0.868227i | \(0.334740\pi\) | |||||||
\(992\) | 1.91750 | 0.0608806 | ||||||||
\(993\) | −4.13646 | − | 4.13646i | −0.131267 | − | 0.131267i | ||||
\(994\) | 5.04752 | + | 3.03309i | 0.160098 | + | 0.0962037i | ||||
\(995\) | −2.77612 | + | 10.3606i | −0.0880089 | + | 0.328454i | ||||
\(996\) | −3.38821 | + | 0.907868i | −0.107360 | + | 0.0287669i | ||||
\(997\) | −50.6477 | − | 29.2415i | −1.60403 | − | 0.926087i | −0.990670 | − | 0.136284i | \(-0.956484\pi\) |
−0.613360 | − | 0.789803i | \(-0.710183\pi\) | |||||||
\(998\) | − | 40.8851i | − | 1.29419i | ||||||
\(999\) | 11.0128 | + | 2.95086i | 0.348428 | + | 0.0933611i |
(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.19.6 | ✓ | 40 | |
7.3 | odd | 6 | 546.2.cg.b.409.1 | yes | 40 | ||
13.11 | odd | 12 | 546.2.cg.b.271.1 | yes | 40 | ||
91.24 | even | 12 | inner | 546.2.by.b.115.6 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.6 | ✓ | 40 | 1.1 | even | 1 | trivial | |
546.2.by.b.115.6 | yes | 40 | 91.24 | even | 12 | inner | |
546.2.cg.b.271.1 | yes | 40 | 13.11 | odd | 12 | ||
546.2.cg.b.409.1 | yes | 40 | 7.3 | odd | 6 |