Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 183.35 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.35 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38346 | − | 0.293307i | 0.978256 | − | 0.207399i | ||||
\(3\) | −1.30064 | + | 1.30064i | −0.750922 | + | 0.750922i | −0.974651 | − | 0.223729i | \(-0.928177\pi\) |
0.223729 | + | 0.974651i | \(0.428177\pi\) | |||||||
\(4\) | 1.82794 | − | 0.811558i | 0.913971 | − | 0.405779i | ||||
\(5\) | −2.07556 | + | 0.831896i | −0.928219 | + | 0.372035i | ||||
\(6\) | −1.41790 | + | 2.18087i | −0.578854 | + | 0.890335i | ||||
\(7\) | 2.44850 | + | 2.44850i | 0.925447 | + | 0.925447i | 0.997407 | − | 0.0719607i | \(-0.0229256\pi\) |
−0.0719607 | + | 0.997407i | \(0.522926\pi\) | |||||||
\(8\) | 2.29086 | − | 1.65891i | 0.809940 | − | 0.586513i | ||||
\(9\) | − | 0.383307i | − | 0.127769i | ||||||
\(10\) | −2.62746 | + | 1.75967i | −0.830876 | + | 0.556457i | ||||
\(11\) | 4.04492i | 1.21959i | 0.792560 | + | 0.609794i | \(0.208748\pi\) | ||||
−0.792560 | + | 0.609794i | \(0.791252\pi\) | |||||||
\(12\) | −1.32195 | + | 3.43303i | −0.381613 | + | 0.991030i | ||||
\(13\) | −0.707107 | − | 0.707107i | −0.196116 | − | 0.196116i | ||||
\(14\) | 4.10558 | + | 2.66925i | 1.09726 | + | 0.713387i | ||||
\(15\) | 1.61755 | − | 3.78154i | 0.417651 | − | 0.976390i | ||||
\(16\) | 2.68275 | − | 2.96696i | 0.670686 | − | 0.741741i | ||||
\(17\) | 5.07945 | − | 5.07945i | 1.23195 | − | 1.23195i | 0.268734 | − | 0.963215i | \(-0.413395\pi\) |
0.963215 | − | 0.268734i | \(-0.0866051\pi\) | |||||||
\(18\) | −0.112426 | − | 0.530291i | −0.0264992 | − | 0.124991i | ||||
\(19\) | −3.28931 | −0.754618 | −0.377309 | − | 0.926087i | \(-0.623151\pi\) | ||||
−0.377309 | + | 0.926087i | \(0.623151\pi\) | |||||||
\(20\) | −3.11887 | + | 3.20510i | −0.697401 | + | 0.716681i | ||||
\(21\) | −6.36922 | −1.38988 | ||||||||
\(22\) | 1.18640 | + | 5.59600i | 0.252942 | + | 1.19307i | ||||
\(23\) | −1.98605 | + | 1.98605i | −0.414121 | + | 0.414121i | −0.883171 | − | 0.469050i | \(-0.844596\pi\) |
0.469050 | + | 0.883171i | \(0.344596\pi\) | |||||||
\(24\) | −0.821932 | + | 5.13721i | −0.167776 | + | 1.04863i | ||||
\(25\) | 3.61590 | − | 3.45330i | 0.723180 | − | 0.690660i | ||||
\(26\) | −1.18566 | − | 0.770857i | −0.232526 | − | 0.151178i | ||||
\(27\) | −3.40336 | − | 3.40336i | −0.654978 | − | 0.654978i | ||||
\(28\) | 6.46282 | + | 2.48862i | 1.22136 | + | 0.470305i | ||||
\(29\) | 5.17756i | 0.961449i | 0.876872 | + | 0.480725i | \(0.159626\pi\) | ||||
−0.876872 | + | 0.480725i | \(0.840374\pi\) | |||||||
\(30\) | 1.12868 | − | 5.70606i | 0.206067 | − | 1.04178i | ||||
\(31\) | − | 5.36907i | − | 0.964313i | −0.876085 | − | 0.482156i | \(-0.839854\pi\) | ||
0.876085 | − | 0.482156i | \(-0.160146\pi\) | |||||||
\(32\) | 2.84125 | − | 4.89155i | 0.502267 | − | 0.864713i | ||||
\(33\) | −5.26096 | − | 5.26096i | −0.915816 | − | 0.915816i | ||||
\(34\) | 5.53740 | − | 8.51707i | 0.949656 | − | 1.46067i | ||||
\(35\) | −7.11891 | − | 3.04511i | −1.20332 | − | 0.514718i | ||||
\(36\) | −0.311076 | − | 0.700662i | −0.0518460 | − | 0.116777i | ||||
\(37\) | 5.53799 | − | 5.53799i | 0.910440 | − | 0.910440i | −0.0858669 | − | 0.996307i | \(-0.527366\pi\) |
0.996307 | + | 0.0858669i | \(0.0273660\pi\) | |||||||
\(38\) | −4.55063 | + | 0.964776i | −0.738210 | + | 0.156507i | ||||
\(39\) | 1.83938 | 0.294536 | ||||||||
\(40\) | −3.37477 | + | 5.34892i | −0.533598 | + | 0.845738i | ||||
\(41\) | −9.24262 | −1.44345 | −0.721727 | − | 0.692178i | \(-0.756652\pi\) | ||||
−0.721727 | + | 0.692178i | \(0.756652\pi\) | |||||||
\(42\) | −8.81158 | + | 1.86814i | −1.35966 | + | 0.288259i | ||||
\(43\) | 6.42292 | − | 6.42292i | 0.979487 | − | 0.979487i | −0.0203072 | − | 0.999794i | \(-0.506464\pi\) |
0.999794 | + | 0.0203072i | \(0.00646443\pi\) | |||||||
\(44\) | 3.28269 | + | 7.39388i | 0.494884 | + | 1.11467i | ||||
\(45\) | 0.318871 | + | 0.795576i | 0.0475345 | + | 0.118597i | ||||
\(46\) | −2.16511 | + | 3.33016i | −0.319228 | + | 0.491005i | ||||
\(47\) | 1.30528 | + | 1.30528i | 0.190394 | + | 0.190394i | 0.795867 | − | 0.605472i | \(-0.207016\pi\) |
−0.605472 | + | 0.795867i | \(0.707016\pi\) | |||||||
\(48\) | 0.369664 | + | 7.34821i | 0.0533565 | + | 1.06062i | ||||
\(49\) | 4.99032i | 0.712903i | ||||||||
\(50\) | 3.98959 | − | 5.83808i | 0.564213 | − | 0.825629i | ||||
\(51\) | 13.2130i | 1.85019i | ||||||||
\(52\) | −1.86641 | − | 0.718692i | −0.258824 | − | 0.0996646i | ||||
\(53\) | −3.32666 | − | 3.32666i | −0.456951 | − | 0.456951i | 0.440702 | − | 0.897653i | \(-0.354729\pi\) |
−0.897653 | + | 0.440702i | \(0.854729\pi\) | |||||||
\(54\) | −5.70666 | − | 3.71020i | −0.776578 | − | 0.504894i | ||||
\(55\) | −3.36495 | − | 8.39547i | −0.453730 | − | 1.13204i | ||||
\(56\) | 9.67101 | + | 1.54732i | 1.29234 | + | 0.206770i | ||||
\(57\) | 4.27819 | − | 4.27819i | 0.566660 | − | 0.566660i | ||||
\(58\) | 1.51861 | + | 7.16297i | 0.199404 | + | 0.940544i | ||||
\(59\) | 4.58583 | 0.597024 | 0.298512 | − | 0.954406i | \(-0.403510\pi\) | ||||
0.298512 | + | 0.954406i | \(0.403510\pi\) | |||||||
\(60\) | −0.112145 | − | 8.22518i | −0.0144779 | − | 1.06187i | ||||
\(61\) | 6.40427 | 0.819983 | 0.409991 | − | 0.912089i | \(-0.365532\pi\) | ||||
0.409991 | + | 0.912089i | \(0.365532\pi\) | |||||||
\(62\) | −1.57478 | − | 7.42791i | −0.199998 | − | 0.943345i | ||||
\(63\) | 0.938527 | − | 0.938527i | 0.118243 | − | 0.118243i | ||||
\(64\) | 2.49604 | − | 7.60064i | 0.312005 | − | 0.950080i | ||||
\(65\) | 2.05588 | + | 0.879404i | 0.255001 | + | 0.109077i | ||||
\(66\) | −8.82143 | − | 5.73528i | −1.08584 | − | 0.705964i | ||||
\(67\) | −3.98978 | − | 3.98978i | −0.487429 | − | 0.487429i | 0.420065 | − | 0.907494i | \(-0.362007\pi\) |
−0.907494 | + | 0.420065i | \(0.862007\pi\) | |||||||
\(68\) | 5.16267 | − | 13.4072i | 0.626066 | − | 1.62586i | ||||
\(69\) | − | 5.16627i | − | 0.621945i | ||||||
\(70\) | −10.7419 | − | 2.12478i | −1.28390 | − | 0.253960i | ||||
\(71\) | 8.66139i | 1.02792i | 0.857815 | + | 0.513959i | \(0.171822\pi\) | ||||
−0.857815 | + | 0.513959i | \(0.828178\pi\) | |||||||
\(72\) | −0.635871 | − | 0.878100i | −0.0749381 | − | 0.103485i | ||||
\(73\) | 8.05408 | + | 8.05408i | 0.942658 | + | 0.942658i | 0.998443 | − | 0.0557846i | \(-0.0177660\pi\) |
−0.0557846 | + | 0.998443i | \(0.517766\pi\) | |||||||
\(74\) | 6.03728 | − | 9.28593i | 0.701819 | − | 1.07947i | ||||
\(75\) | −0.211484 | + | 9.19445i | −0.0244201 | + | 1.06168i | ||||
\(76\) | −6.01266 | + | 2.66946i | −0.689699 | + | 0.306208i | ||||
\(77\) | −9.90399 | + | 9.90399i | −1.12866 | + | 1.12866i | ||||
\(78\) | 2.54471 | − | 0.539502i | 0.288132 | − | 0.0610865i | ||||
\(79\) | 1.43474 | 0.161421 | 0.0807105 | − | 0.996738i | \(-0.474281\pi\) | ||||
0.0807105 | + | 0.996738i | \(0.474281\pi\) | |||||||
\(80\) | −3.10000 | + | 8.38988i | −0.346590 | + | 0.938017i | ||||
\(81\) | 10.0030 | 1.11144 | ||||||||
\(82\) | −12.7868 | + | 2.71092i | −1.41207 | + | 0.299371i | ||||
\(83\) | −5.26584 | + | 5.26584i | −0.578001 | + | 0.578001i | −0.934352 | − | 0.356351i | \(-0.884021\pi\) |
0.356351 | + | 0.934352i | \(0.384021\pi\) | |||||||
\(84\) | −11.6426 | + | 5.16899i | −1.27031 | + | 0.563983i | ||||
\(85\) | −6.31713 | + | 14.7683i | −0.685189 | + | 1.60185i | ||||
\(86\) | 7.00199 | − | 10.7698i | 0.755044 | − | 1.16133i | ||||
\(87\) | −6.73412 | − | 6.73412i | −0.721974 | − | 0.721974i | ||||
\(88\) | 6.71015 | + | 9.26632i | 0.715305 | + | 0.987793i | ||||
\(89\) | − | 8.95535i | − | 0.949266i | −0.880184 | − | 0.474633i | \(-0.842581\pi\) | ||
0.880184 | − | 0.474633i | \(-0.157419\pi\) | |||||||
\(90\) | 0.674494 | + | 1.00712i | 0.0710980 | + | 0.106160i | ||||
\(91\) | − | 3.46270i | − | 0.362990i | ||||||
\(92\) | −2.01859 | + | 5.24219i | −0.210453 | + | 0.546536i | ||||
\(93\) | 6.98320 | + | 6.98320i | 0.724124 | + | 0.724124i | ||||
\(94\) | 2.18865 | + | 1.42296i | 0.225742 | + | 0.146767i | ||||
\(95\) | 6.82715 | − | 2.73636i | 0.700451 | − | 0.280744i | ||||
\(96\) | 2.66670 | + | 10.0576i | 0.272169 | + | 1.02650i | ||||
\(97\) | 0.869405 | − | 0.869405i | 0.0882747 | − | 0.0882747i | −0.661591 | − | 0.749865i | \(-0.730118\pi\) |
0.749865 | + | 0.661591i | \(0.230118\pi\) | |||||||
\(98\) | 1.46370 | + | 6.90393i | 0.147856 | + | 0.697402i | ||||
\(99\) | 1.55044 | 0.155825 | ||||||||
\(100\) | 3.80710 | − | 9.24694i | 0.380710 | − | 0.924694i | ||||
\(101\) | −6.55124 | −0.651872 | −0.325936 | − | 0.945392i | \(-0.605679\pi\) | ||||
−0.325936 | + | 0.945392i | \(0.605679\pi\) | |||||||
\(102\) | 3.87547 | + | 18.2797i | 0.383729 | + | 1.80996i | ||||
\(103\) | −5.55670 | + | 5.55670i | −0.547518 | + | 0.547518i | −0.925722 | − | 0.378204i | \(-0.876542\pi\) |
0.378204 | + | 0.925722i | \(0.376542\pi\) | |||||||
\(104\) | −2.79291 | − | 0.446854i | −0.273867 | − | 0.0438176i | ||||
\(105\) | 13.2197 | − | 5.29853i | 1.29011 | − | 0.517083i | ||||
\(106\) | −5.57804 | − | 3.62658i | −0.541787 | − | 0.352244i | ||||
\(107\) | −1.32934 | − | 1.32934i | −0.128512 | − | 0.128512i | 0.639925 | − | 0.768437i | \(-0.278965\pi\) |
−0.768437 | + | 0.639925i | \(0.778965\pi\) | |||||||
\(108\) | −8.98318 | − | 3.45912i | −0.864407 | − | 0.332854i | ||||
\(109\) | 13.9365i | 1.33488i | 0.744664 | + | 0.667439i | \(0.232610\pi\) | ||||
−0.744664 | + | 0.667439i | \(0.767390\pi\) | |||||||
\(110\) | −7.11773 | − | 10.6279i | −0.678649 | − | 1.01333i | ||||
\(111\) | 14.4058i | 1.36734i | ||||||||
\(112\) | 13.8333 | − | 0.695909i | 1.30713 | − | 0.0657572i | ||||
\(113\) | −4.38056 | − | 4.38056i | −0.412089 | − | 0.412089i | 0.470377 | − | 0.882466i | \(-0.344118\pi\) |
−0.882466 | + | 0.470377i | \(0.844118\pi\) | |||||||
\(114\) | 4.66390 | − | 7.17354i | 0.436814 | − | 0.671863i | ||||
\(115\) | 2.46999 | − | 5.77437i | 0.230327 | − | 0.538462i | ||||
\(116\) | 4.20190 | + | 9.46429i | 0.390136 | + | 0.878737i | ||||
\(117\) | −0.271039 | + | 0.271039i | −0.0250575 | + | 0.0250575i | ||||
\(118\) | 6.34433 | − | 1.34506i | 0.584043 | − | 0.123822i | ||||
\(119\) | 24.8741 | 2.28020 | ||||||||
\(120\) | −2.56765 | − | 11.3463i | −0.234393 | − | 1.03577i | ||||
\(121\) | −5.36136 | −0.487396 | ||||||||
\(122\) | 8.86007 | − | 1.87842i | 0.802153 | − | 0.170064i | ||||
\(123\) | 12.0213 | − | 12.0213i | 1.08392 | − | 1.08392i | ||||
\(124\) | −4.35731 | − | 9.81434i | −0.391298 | − | 0.881354i | ||||
\(125\) | −4.63223 | + | 10.1756i | −0.414319 | + | 0.910132i | ||||
\(126\) | 1.02314 | − | 1.57369i | 0.0911487 | − | 0.140196i | ||||
\(127\) | −5.18321 | − | 5.18321i | −0.459935 | − | 0.459935i | 0.438699 | − | 0.898634i | \(-0.355439\pi\) |
−0.898634 | + | 0.438699i | \(0.855439\pi\) | |||||||
\(128\) | 1.22386 | − | 11.2473i | 0.108175 | − | 0.994132i | ||||
\(129\) | 16.7078i | 1.47104i | ||||||||
\(130\) | 3.10217 | + | 0.613619i | 0.272078 | + | 0.0538179i | ||||
\(131\) | − | 4.49467i | − | 0.392701i | −0.980534 | − | 0.196350i | \(-0.937091\pi\) | ||
0.980534 | − | 0.196350i | \(-0.0629090\pi\) | |||||||
\(132\) | −13.8863 | − | 5.34716i | −1.20865 | − | 0.465410i | ||||
\(133\) | −8.05387 | − | 8.05387i | −0.698359 | − | 0.698359i | ||||
\(134\) | −6.68994 | − | 4.34948i | −0.577923 | − | 0.375738i | ||||
\(135\) | 9.89513 | + | 4.23264i | 0.851637 | + | 0.364288i | ||||
\(136\) | 3.20994 | − | 20.0626i | 0.275250 | − | 1.72036i | ||||
\(137\) | 3.56651 | − | 3.56651i | 0.304707 | − | 0.304707i | −0.538145 | − | 0.842852i | \(-0.680875\pi\) |
0.842852 | + | 0.538145i | \(0.180875\pi\) | |||||||
\(138\) | −1.51530 | − | 7.14734i | −0.128991 | − | 0.608422i | ||||
\(139\) | −7.66785 | −0.650378 | −0.325189 | − | 0.945649i | \(-0.605428\pi\) | ||||
−0.325189 | + | 0.945649i | \(0.605428\pi\) | |||||||
\(140\) | −15.4842 | + | 0.211118i | −1.30866 | + | 0.0178428i | ||||
\(141\) | −3.39538 | −0.285943 | ||||||||
\(142\) | 2.54044 | + | 11.9827i | 0.213189 | + | 1.00557i | ||||
\(143\) | 2.86019 | − | 2.86019i | 0.239181 | − | 0.239181i | ||||
\(144\) | −1.13726 | − | 1.02831i | −0.0947714 | − | 0.0856929i | ||||
\(145\) | −4.30719 | − | 10.7463i | −0.357693 | − | 0.892435i | ||||
\(146\) | 13.5048 | + | 8.78020i | 1.11767 | + | 0.726655i | ||||
\(147\) | −6.49059 | − | 6.49059i | −0.535335 | − | 0.535335i | ||||
\(148\) | 5.62872 | − | 14.6175i | 0.462678 | − | 1.20155i | ||||
\(149\) | 6.55325i | 0.536863i | 0.963299 | + | 0.268432i | \(0.0865053\pi\) | ||||
−0.963299 | + | 0.268432i | \(0.913495\pi\) | |||||||
\(150\) | 2.40421 | + | 12.7822i | 0.196303 | + | 1.04366i | ||||
\(151\) | 4.41532i | 0.359313i | 0.983729 | + | 0.179657i | \(0.0574987\pi\) | ||||
−0.983729 | + | 0.179657i | \(0.942501\pi\) | |||||||
\(152\) | −7.53532 | + | 5.45666i | −0.611195 | + | 0.442593i | ||||
\(153\) | −1.94699 | − | 1.94699i | −0.157405 | − | 0.157405i | ||||
\(154\) | −10.7969 | + | 16.6067i | −0.870039 | + | 1.33821i | ||||
\(155\) | 4.46650 | + | 11.1438i | 0.358758 | + | 0.895093i | ||||
\(156\) | 3.36227 | − | 1.49276i | 0.269197 | − | 0.119517i | ||||
\(157\) | 5.29541 | − | 5.29541i | 0.422620 | − | 0.422620i | −0.463485 | − | 0.886105i | \(-0.653401\pi\) |
0.886105 | + | 0.463485i | \(0.153401\pi\) | |||||||
\(158\) | 1.98491 | − | 0.420819i | 0.157911 | − | 0.0334786i | ||||
\(159\) | 8.65353 | 0.686270 | ||||||||
\(160\) | −1.82792 | + | 12.5163i | −0.144510 | + | 0.989503i | ||||
\(161\) | −9.72572 | −0.766494 | ||||||||
\(162\) | 13.8388 | − | 2.93395i | 1.08728 | − | 0.230513i | ||||
\(163\) | 13.9615 | − | 13.9615i | 1.09355 | − | 1.09355i | 0.0984035 | − | 0.995147i | \(-0.468626\pi\) |
0.995147 | − | 0.0984035i | \(-0.0313736\pi\) | |||||||
\(164\) | −16.8950 | + | 7.50093i | −1.31928 | + | 0.585724i | ||||
\(165\) | 15.2960 | + | 6.54287i | 1.19079 | + | 0.509362i | ||||
\(166\) | −5.74059 | + | 8.82960i | −0.445556 | + | 0.685310i | ||||
\(167\) | −0.479622 | − | 0.479622i | −0.0371143 | − | 0.0371143i | 0.688306 | − | 0.725420i | \(-0.258355\pi\) |
−0.725420 | + | 0.688306i | \(0.758355\pi\) | |||||||
\(168\) | −14.5910 | + | 10.5660i | −1.12572 | + | 0.815181i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | −4.40789 | + | 22.2842i | −0.338069 | + | 1.70912i | ||||
\(171\) | 1.26081i | 0.0964168i | ||||||||
\(172\) | 6.52815 | − | 16.9533i | 0.497767 | − | 1.29268i | ||||
\(173\) | 7.85353 | + | 7.85353i | 0.597093 | + | 0.597093i | 0.939538 | − | 0.342445i | \(-0.111255\pi\) |
−0.342445 | + | 0.939538i | \(0.611255\pi\) | |||||||
\(174\) | −11.2916 | − | 7.34125i | −0.856012 | − | 0.556539i | ||||
\(175\) | 17.3089 | + | 0.398128i | 1.30843 | + | 0.0300956i | ||||
\(176\) | 12.0011 | + | 10.8515i | 0.904619 | + | 0.817962i | ||||
\(177\) | −5.96450 | + | 5.96450i | −0.448319 | + | 0.448319i | ||||
\(178\) | −2.62667 | − | 12.3894i | −0.196877 | − | 0.928625i | ||||
\(179\) | −8.22537 | −0.614793 | −0.307397 | − | 0.951582i | \(-0.599458\pi\) | ||||
−0.307397 | + | 0.951582i | \(0.599458\pi\) | |||||||
\(180\) | 1.22853 | + | 1.19548i | 0.0915696 | + | 0.0891062i | ||||
\(181\) | −12.1292 | −0.901555 | −0.450778 | − | 0.892636i | \(-0.648853\pi\) | ||||
−0.450778 | + | 0.892636i | \(0.648853\pi\) | |||||||
\(182\) | −1.01563 | − | 4.79053i | −0.0752839 | − | 0.355097i | ||||
\(183\) | −8.32962 | + | 8.32962i | −0.615743 | + | 0.615743i | ||||
\(184\) | −1.25508 | + | 7.84445i | −0.0925257 | + | 0.578300i | ||||
\(185\) | −6.88740 | + | 16.1015i | −0.506372 | + | 1.18380i | ||||
\(186\) | 11.7092 | + | 7.61278i | 0.858562 | + | 0.558196i | ||||
\(187\) | 20.5460 | + | 20.5460i | 1.50247 | + | 1.50247i | ||||
\(188\) | 3.44528 | + | 1.32666i | 0.251273 | + | 0.0967569i | ||||
\(189\) | − | 16.6663i | − | 1.21229i | ||||||
\(190\) | 8.64252 | − | 5.78810i | 0.626994 | − | 0.419913i | ||||
\(191\) | − | 7.58940i | − | 0.549150i | −0.961566 | − | 0.274575i | \(-0.911463\pi\) | ||
0.961566 | − | 0.274575i | \(-0.0885371\pi\) | |||||||
\(192\) | 6.63923 | + | 13.1321i | 0.479145 | + | 0.947728i | ||||
\(193\) | 1.87226 | + | 1.87226i | 0.134769 | + | 0.134769i | 0.771273 | − | 0.636504i | \(-0.219620\pi\) |
−0.636504 | + | 0.771273i | \(0.719620\pi\) | |||||||
\(194\) | 0.947788 | − | 1.45779i | 0.0680472 | − | 0.104663i | ||||
\(195\) | −3.81774 | + | 1.53017i | −0.273394 | + | 0.109578i | ||||
\(196\) | 4.04994 | + | 9.12202i | 0.289281 | + | 0.651573i | ||||
\(197\) | 1.75492 | − | 1.75492i | 0.125033 | − | 0.125033i | −0.641821 | − | 0.766854i | \(-0.721821\pi\) |
0.766854 | + | 0.641821i | \(0.221821\pi\) | |||||||
\(198\) | 2.14498 | − | 0.454756i | 0.152437 | − | 0.0323181i | ||||
\(199\) | −17.3332 | −1.22871 | −0.614357 | − | 0.789028i | \(-0.710585\pi\) | ||||
−0.614357 | + | 0.789028i | \(0.710585\pi\) | |||||||
\(200\) | 2.55479 | − | 13.9095i | 0.180651 | − | 0.983547i | ||||
\(201\) | 10.3785 | 0.732043 | ||||||||
\(202\) | −9.06340 | + | 1.92152i | −0.637698 | + | 0.135198i | ||||
\(203\) | −12.6773 | + | 12.6773i | −0.889770 | + | 0.889770i | ||||
\(204\) | 10.7231 | + | 24.1527i | 0.750771 | + | 1.69102i | ||||
\(205\) | 19.1836 | − | 7.68889i | 1.33984 | − | 0.537016i | ||||
\(206\) | −6.05767 | + | 9.31731i | −0.422058 | + | 0.649168i | ||||
\(207\) | 0.761268 | + | 0.761268i | 0.0529118 | + | 0.0529118i | ||||
\(208\) | −3.99495 | + | 0.200973i | −0.277000 | + | 0.0139349i | ||||
\(209\) | − | 13.3050i | − | 0.920324i | ||||||
\(210\) | 16.7349 | − | 11.2077i | 1.15482 | − | 0.773408i | ||||
\(211\) | − | 23.7012i | − | 1.63166i | −0.578293 | − | 0.815829i | \(-0.696281\pi\) | ||
0.578293 | − | 0.815829i | \(-0.303719\pi\) | |||||||
\(212\) | −8.78071 | − | 3.38116i | −0.603062 | − | 0.232219i | ||||
\(213\) | −11.2653 | − | 11.2653i | −0.771887 | − | 0.771887i | ||||
\(214\) | −2.22900 | − | 1.44919i | −0.152371 | − | 0.0990645i | ||||
\(215\) | −7.98796 | + | 18.6744i | −0.544774 | + | 1.27358i | ||||
\(216\) | −13.4425 | − | 2.15074i | −0.914646 | − | 0.146340i | ||||
\(217\) | 13.1462 | − | 13.1462i | 0.892420 | − | 0.892420i | ||||
\(218\) | 4.08768 | + | 19.2807i | 0.276853 | + | 1.30585i | ||||
\(219\) | −20.9508 | −1.41573 | ||||||||
\(220\) | −12.9643 | − | 12.6156i | −0.874056 | − | 0.850542i | ||||
\(221\) | −7.18343 | −0.483210 | ||||||||
\(222\) | 4.22532 | + | 19.9299i | 0.283585 | + | 1.33761i | ||||
\(223\) | −19.9355 | + | 19.9355i | −1.33498 | + | 1.33498i | −0.434134 | + | 0.900848i | \(0.642945\pi\) |
−0.900848 | + | 0.434134i | \(0.857055\pi\) | |||||||
\(224\) | 18.9338 | − | 5.02017i | 1.26507 | − | 0.335424i | ||||
\(225\) | −1.32367 | − | 1.38600i | −0.0882448 | − | 0.0923999i | ||||
\(226\) | −7.34520 | − | 4.77550i | −0.488595 | − | 0.317662i | ||||
\(227\) | −20.7704 | − | 20.7704i | −1.37858 | − | 1.37858i | −0.847026 | − | 0.531552i | \(-0.821609\pi\) |
−0.531552 | − | 0.847026i | \(-0.678391\pi\) | |||||||
\(228\) | 4.34828 | − | 11.2923i | 0.287972 | − | 0.747850i | ||||
\(229\) | 17.0966i | 1.12977i | 0.825168 | + | 0.564887i | \(0.191080\pi\) | ||||
−0.825168 | + | 0.564887i | \(0.808920\pi\) | |||||||
\(230\) | 1.72347 | − | 8.71309i | 0.113642 | − | 0.574524i | ||||
\(231\) | − | 25.7630i | − | 1.69508i | ||||||
\(232\) | 8.58911 | + | 11.8611i | 0.563903 | + | 0.778716i | ||||
\(233\) | −10.6350 | − | 10.6350i | −0.696720 | − | 0.696720i | 0.266982 | − | 0.963702i | \(-0.413974\pi\) |
−0.963702 | + | 0.266982i | \(0.913974\pi\) | |||||||
\(234\) | −0.295475 | + | 0.454470i | −0.0193158 | + | 0.0297096i | ||||
\(235\) | −3.79504 | − | 1.62333i | −0.247561 | − | 0.105894i | ||||
\(236\) | 8.38264 | − | 3.72167i | 0.545663 | − | 0.242260i | ||||
\(237\) | −1.86607 | + | 1.86607i | −0.121215 | + | 0.121215i | ||||
\(238\) | 34.4124 | − | 7.29574i | 2.23062 | − | 0.472913i | ||||
\(239\) | −10.4291 | −0.674601 | −0.337301 | − | 0.941397i | \(-0.609514\pi\) | ||||
−0.337301 | + | 0.941397i | \(0.609514\pi\) | |||||||
\(240\) | −6.88021 | − | 14.9441i | −0.444116 | − | 0.964640i | ||||
\(241\) | −0.787159 | −0.0507054 | −0.0253527 | − | 0.999679i | \(-0.508071\pi\) | ||||
−0.0253527 | + | 0.999679i | \(0.508071\pi\) | |||||||
\(242\) | −7.41724 | + | 1.57252i | −0.476799 | + | 0.101086i | ||||
\(243\) | −2.80016 | + | 2.80016i | −0.179630 | + | 0.179630i | ||||
\(244\) | 11.7066 | − | 5.19744i | 0.749440 | − | 0.332732i | ||||
\(245\) | −4.15143 | − | 10.3577i | −0.265225 | − | 0.661730i | ||||
\(246\) | 13.1051 | − | 20.1569i | 0.835549 | − | 1.28516i | ||||
\(247\) | 2.32589 | + | 2.32589i | 0.147993 | + | 0.147993i | ||||
\(248\) | −8.90680 | − | 12.2998i | −0.565582 | − | 0.781035i | ||||
\(249\) | − | 13.6979i | − | 0.868067i | ||||||
\(250\) | −3.42396 | + | 15.4362i | −0.216550 | + | 0.976272i | ||||
\(251\) | − | 1.87578i | − | 0.118398i | −0.998246 | − | 0.0591990i | \(-0.981145\pi\) | ||
0.998246 | − | 0.0591990i | \(-0.0188546\pi\) | |||||||
\(252\) | 0.953904 | − | 2.47724i | 0.0600903 | − | 0.156052i | ||||
\(253\) | −8.03343 | − | 8.03343i | −0.505057 | − | 0.505057i | ||||
\(254\) | −8.69105 | − | 5.65051i | −0.545325 | − | 0.354544i | ||||
\(255\) | −10.9919 | − | 27.4244i | −0.688337 | − | 1.71739i | ||||
\(256\) | −1.60575 | − | 15.9192i | −0.100359 | − | 0.994951i | ||||
\(257\) | 18.7433 | − | 18.7433i | 1.16917 | − | 1.16917i | 0.186771 | − | 0.982404i | \(-0.440198\pi\) |
0.982404 | − | 0.186771i | \(-0.0598022\pi\) | |||||||
\(258\) | 4.90050 | + | 23.1146i | 0.305092 | + | 1.43905i | ||||
\(259\) | 27.1196 | 1.68513 | ||||||||
\(260\) | 4.47172 | − | 0.0609692i | 0.277324 | − | 0.00378115i | ||||
\(261\) | 1.98459 | 0.122843 | ||||||||
\(262\) | −1.31832 | − | 6.21821i | −0.0814458 | − | 0.384162i | ||||
\(263\) | −17.1908 | + | 17.1908i | −1.06003 | + | 1.06003i | −0.0619500 | + | 0.998079i | \(0.519732\pi\) |
−0.998079 | + | 0.0619500i | \(0.980268\pi\) | |||||||
\(264\) | −20.7796 | − | 3.32465i | −1.27889 | − | 0.204618i | ||||
\(265\) | 9.67210 | + | 4.13724i | 0.594153 | + | 0.254149i | ||||
\(266\) | −13.5045 | − | 8.77998i | −0.828013 | − | 0.538335i | ||||
\(267\) | 11.6477 | + | 11.6477i | 0.712825 | + | 0.712825i | ||||
\(268\) | −10.5310 | − | 4.05515i | −0.643285 | − | 0.247708i | ||||
\(269\) | 1.97488i | 0.120410i | 0.998186 | + | 0.0602052i | \(0.0191755\pi\) | ||||
−0.998186 | + | 0.0602052i | \(0.980825\pi\) | |||||||
\(270\) | 14.9310 | + | 2.95340i | 0.908673 | + | 0.179738i | ||||
\(271\) | − | 7.20848i | − | 0.437884i | −0.975738 | − | 0.218942i | \(-0.929739\pi\) | ||
0.975738 | − | 0.218942i | \(-0.0702605\pi\) | |||||||
\(272\) | −1.44367 | − | 28.6974i | −0.0875355 | − | 1.74004i | ||||
\(273\) | 4.50372 | + | 4.50372i | 0.272577 | + | 0.272577i | ||||
\(274\) | 3.88805 | − | 5.98022i | 0.234886 | − | 0.361278i | ||||
\(275\) | 13.9683 | + | 14.6260i | 0.842321 | + | 0.881982i | ||||
\(276\) | −4.19273 | − | 9.44364i | −0.252373 | − | 0.568440i | ||||
\(277\) | −3.84054 | + | 3.84054i | −0.230756 | + | 0.230756i | −0.813008 | − | 0.582252i | \(-0.802172\pi\) |
0.582252 | + | 0.813008i | \(0.302172\pi\) | |||||||
\(278\) | −10.6082 | + | 2.24903i | −0.636237 | + | 0.134888i | ||||
\(279\) | −2.05800 | −0.123209 | ||||||||
\(280\) | −21.3600 | + | 4.83371i | −1.27650 | + | 0.288869i | ||||
\(281\) | −20.4586 | −1.22046 | −0.610229 | − | 0.792225i | \(-0.708923\pi\) | ||||
−0.610229 | + | 0.792225i | \(0.708923\pi\) | |||||||
\(282\) | −4.69739 | + | 0.995889i | −0.279725 | + | 0.0593043i | ||||
\(283\) | 6.85477 | − | 6.85477i | 0.407474 | − | 0.407474i | −0.473383 | − | 0.880857i | \(-0.656967\pi\) |
0.880857 | + | 0.473383i | \(0.156967\pi\) | |||||||
\(284\) | 7.02922 | + | 15.8325i | 0.417108 | + | 0.939487i | ||||
\(285\) | −5.32063 | + | 12.4386i | −0.315167 | + | 0.736802i | ||||
\(286\) | 3.11805 | − | 4.79588i | 0.184374 | − | 0.283586i | ||||
\(287\) | −22.6306 | − | 22.6306i | −1.33584 | − | 1.33584i | ||||
\(288\) | −1.87497 | − | 1.08907i | −0.110483 | − | 0.0641741i | ||||
\(289\) | − | 34.6017i | − | 2.03539i | ||||||
\(290\) | −9.11082 | − | 13.6038i | −0.535006 | − | 0.798845i | ||||
\(291\) | 2.26156i | 0.132575i | ||||||||
\(292\) | 21.2587 | + | 8.18603i | 1.24407 | + | 0.479051i | ||||
\(293\) | −0.877370 | − | 0.877370i | −0.0512565 | − | 0.0512565i | 0.681014 | − | 0.732270i | \(-0.261539\pi\) |
−0.732270 | + | 0.681014i | \(0.761539\pi\) | |||||||
\(294\) | −10.8832 | − | 7.07576i | −0.634723 | − | 0.412667i | ||||
\(295\) | −9.51817 | + | 3.81493i | −0.554169 | + | 0.222114i | ||||
\(296\) | 3.49971 | − | 21.8738i | 0.203417 | − | 1.27139i | ||||
\(297\) | 13.7663 | − | 13.7663i | 0.798804 | − | 0.798804i | ||||
\(298\) | 1.92211 | + | 9.06618i | 0.111345 | + | 0.525190i | ||||
\(299\) | 2.80871 | 0.162432 | ||||||||
\(300\) | 7.07525 | + | 16.9786i | 0.408490 | + | 0.980258i | ||||
\(301\) | 31.4531 | 1.81293 | ||||||||
\(302\) | 1.29504 | + | 6.10843i | 0.0745213 | + | 0.351501i | ||||
\(303\) | 8.52077 | − | 8.52077i | 0.489506 | − | 0.489506i | ||||
\(304\) | −8.82437 | + | 9.75925i | −0.506112 | + | 0.559731i | ||||
\(305\) | −13.2924 | + | 5.32768i | −0.761123 | + | 0.305062i | ||||
\(306\) | −3.26465 | − | 2.12252i | −0.186628 | − | 0.121337i | ||||
\(307\) | 20.5875 | + | 20.5875i | 1.17499 | + | 1.17499i | 0.981004 | + | 0.193990i | \(0.0621428\pi\) |
0.193990 | + | 0.981004i | \(0.437857\pi\) | |||||||
\(308\) | −10.0663 | + | 26.1416i | −0.573578 | + | 1.48956i | ||||
\(309\) | − | 14.4545i | − | 0.822287i | ||||||
\(310\) | 9.44780 | + | 14.1070i | 0.536599 | + | 0.801225i | ||||
\(311\) | 9.63704i | 0.546467i | 0.961948 | + | 0.273233i | \(0.0880931\pi\) | ||||
−0.961948 | + | 0.273233i | \(0.911907\pi\) | |||||||
\(312\) | 4.21375 | − | 3.05136i | 0.238556 | − | 0.172749i | ||||
\(313\) | 8.99972 | + | 8.99972i | 0.508694 | + | 0.508694i | 0.914126 | − | 0.405431i | \(-0.132879\pi\) |
−0.405431 | + | 0.914126i | \(0.632879\pi\) | |||||||
\(314\) | 5.77283 | − | 8.87919i | 0.325780 | − | 0.501082i | ||||
\(315\) | −1.16721 | + | 2.72873i | −0.0657650 | + | 0.153746i | ||||
\(316\) | 2.62262 | − | 1.16438i | 0.147534 | − | 0.0655013i | ||||
\(317\) | −20.0235 | + | 20.0235i | −1.12463 | + | 1.12463i | −0.133596 | + | 0.991036i | \(0.542652\pi\) |
−0.991036 | + | 0.133596i | \(0.957348\pi\) | |||||||
\(318\) | 11.9718 | − | 2.53814i | 0.671348 | − | 0.142332i | ||||
\(319\) | −20.9428 | −1.17257 | ||||||||
\(320\) | 1.14226 | + | 17.8520i | 0.0638544 | + | 0.997959i | ||||
\(321\) | 3.45798 | 0.193005 | ||||||||
\(322\) | −13.4552 | + | 2.85262i | −0.749827 | + | 0.158970i | ||||
\(323\) | −16.7079 | + | 16.7079i | −0.929651 | + | 0.929651i | ||||
\(324\) | 18.2849 | − | 8.11802i | 1.01583 | − | 0.451001i | ||||
\(325\) | −4.99868 | − | 0.114976i | −0.277277 | − | 0.00637772i | ||||
\(326\) | 15.2202 | − | 23.4103i | 0.842971 | − | 1.29657i | ||||
\(327\) | −18.1264 | − | 18.1264i | −1.00239 | − | 1.00239i | ||||
\(328\) | −21.1735 | + | 15.3327i | −1.16911 | + | 0.846605i | ||||
\(329\) | 6.39195i | 0.352400i | ||||||||
\(330\) | 23.0806 | + | 4.56540i | 1.27054 | + | 0.251317i | ||||
\(331\) | 5.51957i | 0.303383i | 0.988428 | + | 0.151691i | \(0.0484720\pi\) | ||||
−0.988428 | + | 0.151691i | \(0.951528\pi\) | |||||||
\(332\) | −5.35211 | + | 13.8992i | −0.293735 | + | 0.762816i | ||||
\(333\) | −2.12275 | − | 2.12275i | −0.116326 | − | 0.116326i | ||||
\(334\) | −0.804216 | − | 0.522863i | −0.0440047 | − | 0.0286098i | ||||
\(335\) | 11.6001 | + | 4.96195i | 0.633782 | + | 0.271100i | ||||
\(336\) | −17.0870 | + | 18.8972i | −0.932172 | + | 1.03093i | ||||
\(337\) | −16.1027 | + | 16.1027i | −0.877168 | + | 0.877168i | −0.993241 | − | 0.116073i | \(-0.962969\pi\) |
0.116073 | + | 0.993241i | \(0.462969\pi\) | |||||||
\(338\) | 0.293307 | + | 1.38346i | 0.0159538 | + | 0.0752505i | ||||
\(339\) | 11.3950 | 0.618893 | ||||||||
\(340\) | 0.437968 | + | 32.1223i | 0.0237521 | + | 1.74208i | ||||
\(341\) | 21.7174 | 1.17607 | ||||||||
\(342\) | 0.369805 | + | 1.74429i | 0.0199968 | + | 0.0943203i | ||||
\(343\) | 4.92070 | − | 4.92070i | 0.265693 | − | 0.265693i | ||||
\(344\) | 4.05894 | − | 25.3690i | 0.218844 | − | 1.36781i | ||||
\(345\) | 4.29779 | + | 10.7229i | 0.231385 | + | 0.577301i | ||||
\(346\) | 13.1686 | + | 8.56158i | 0.707946 | + | 0.460273i | ||||
\(347\) | 17.6205 | + | 17.6205i | 0.945919 | + | 0.945919i | 0.998611 | − | 0.0526918i | \(-0.0167801\pi\) |
−0.0526918 | + | 0.998611i | \(0.516780\pi\) | |||||||
\(348\) | −17.7747 | − | 6.84446i | −0.952825 | − | 0.366901i | ||||
\(349\) | 2.32443i | 0.124424i | 0.998063 | + | 0.0622120i | \(0.0198155\pi\) | ||||
−0.998063 | + | 0.0622120i | \(0.980185\pi\) | |||||||
\(350\) | 24.0631 | − | 4.52604i | 1.28623 | − | 0.241927i | ||||
\(351\) | 4.81308i | 0.256903i | ||||||||
\(352\) | 19.7859 | + | 11.4926i | 1.05459 | + | 0.612559i | ||||
\(353\) | 12.1932 | + | 12.1932i | 0.648976 | + | 0.648976i | 0.952746 | − | 0.303769i | \(-0.0982452\pi\) |
−0.303769 | + | 0.952746i | \(0.598245\pi\) | |||||||
\(354\) | −6.50224 | + | 10.0011i | −0.345590 | + | 0.531552i | ||||
\(355\) | −7.20537 | − | 17.9772i | −0.382421 | − | 0.954133i | ||||
\(356\) | −7.26779 | − | 16.3699i | −0.385192 | − | 0.867601i | ||||
\(357\) | −32.3521 | + | 32.3521i | −1.71226 | + | 1.71226i | ||||
\(358\) | −11.3795 | + | 2.41256i | −0.601425 | + | 0.127508i | ||||
\(359\) | 27.6037 | 1.45687 | 0.728433 | − | 0.685117i | \(-0.240249\pi\) | ||||
0.728433 | + | 0.685117i | \(0.240249\pi\) | |||||||
\(360\) | 2.05028 | + | 1.29357i | 0.108059 | + | 0.0681772i | ||||
\(361\) | −8.18047 | −0.430551 | ||||||||
\(362\) | −16.7803 | + | 3.55757i | −0.881952 | + | 0.186982i | ||||
\(363\) | 6.97317 | − | 6.97317i | 0.365997 | − | 0.365997i | ||||
\(364\) | −2.81019 | − | 6.32962i | −0.147294 | − | 0.331762i | ||||
\(365\) | −23.4169 | − | 10.0166i | −1.22569 | − | 0.524291i | ||||
\(366\) | −9.08059 | + | 13.9669i | −0.474650 | + | 0.730060i | ||||
\(367\) | 7.66039 | + | 7.66039i | 0.399869 | + | 0.399869i | 0.878187 | − | 0.478318i | \(-0.158753\pi\) |
−0.478318 | + | 0.878187i | \(0.658753\pi\) | |||||||
\(368\) | 0.564473 | + | 11.2206i | 0.0294252 | + | 0.584916i | ||||
\(369\) | 3.54276i | 0.184429i | ||||||||
\(370\) | −4.80580 | + | 24.2959i | −0.249842 | + | 1.26308i | ||||
\(371\) | − | 16.2906i | − | 0.845768i | ||||||
\(372\) | 18.4322 | + | 7.09761i | 0.955663 | + | 0.367994i | ||||
\(373\) | −23.0212 | − | 23.0212i | −1.19199 | − | 1.19199i | −0.976506 | − | 0.215488i | \(-0.930866\pi\) |
−0.215488 | − | 0.976506i | \(-0.569134\pi\) | |||||||
\(374\) | 34.4509 | + | 22.3983i | 1.78141 | + | 1.15819i | ||||
\(375\) | −7.20988 | − | 19.2596i | −0.372316 | − | 0.994560i | ||||
\(376\) | 5.15554 | + | 0.824866i | 0.265877 | + | 0.0425392i | ||||
\(377\) | 3.66109 | − | 3.66109i | 0.188556 | − | 0.188556i | ||||
\(378\) | −4.88834 | − | 23.0572i | −0.251429 | − | 1.18593i | ||||
\(379\) | −27.4799 | −1.41155 | −0.705774 | − | 0.708437i | \(-0.749401\pi\) | ||||
−0.705774 | + | 0.708437i | \(0.749401\pi\) | |||||||
\(380\) | 10.2589 | − | 10.5425i | 0.526272 | − | 0.540821i | ||||
\(381\) | 13.4829 | 0.690751 | ||||||||
\(382\) | −2.22602 | − | 10.4997i | −0.113893 | − | 0.537209i | ||||
\(383\) | 2.40431 | − | 2.40431i | 0.122855 | − | 0.122855i | −0.643006 | − | 0.765861i | \(-0.722313\pi\) |
0.765861 | + | 0.643006i | \(0.222313\pi\) | |||||||
\(384\) | 13.0369 | + | 16.2205i | 0.665285 | + | 0.827747i | ||||
\(385\) | 12.3172 | − | 28.7954i | 0.627745 | − | 1.46755i | ||||
\(386\) | 3.13936 | + | 2.04106i | 0.159789 | + | 0.103887i | ||||
\(387\) | −2.46195 | − | 2.46195i | −0.125148 | − | 0.125148i | ||||
\(388\) | 0.883649 | − | 2.29480i | 0.0448605 | − | 0.116501i | ||||
\(389\) | − | 3.40359i | − | 0.172569i | −0.996271 | − | 0.0862845i | \(-0.972501\pi\) | ||
0.996271 | − | 0.0862845i | \(-0.0274994\pi\) | |||||||
\(390\) | −4.83289 | + | 3.23670i | −0.244723 | + | 0.163897i | ||||
\(391\) | 20.1761i | 1.02035i | ||||||||
\(392\) | 8.27850 | + | 11.4321i | 0.418127 | + | 0.577409i | ||||
\(393\) | 5.84592 | + | 5.84592i | 0.294888 | + | 0.294888i | ||||
\(394\) | 1.91314 | − | 2.94260i | 0.0963825 | − | 0.148246i | ||||
\(395\) | −2.97789 | + | 1.19355i | −0.149834 | + | 0.0600542i | ||||
\(396\) | 2.83412 | − | 1.25828i | 0.142420 | − | 0.0632307i | ||||
\(397\) | −1.08718 | + | 1.08718i | −0.0545638 | + | 0.0545638i | −0.733862 | − | 0.679298i | \(-0.762284\pi\) |
0.679298 | + | 0.733862i | \(0.262284\pi\) | |||||||
\(398\) | −23.9798 | + | 5.08393i | −1.20200 | + | 0.254834i | ||||
\(399\) | 20.9503 | 1.04883 | ||||||||
\(400\) | −0.545274 | − | 19.9926i | −0.0272637 | − | 0.999628i | ||||
\(401\) | 16.5439 | 0.826162 | 0.413081 | − | 0.910694i | \(-0.364453\pi\) | ||||
0.413081 | + | 0.910694i | \(0.364453\pi\) | |||||||
\(402\) | 14.3583 | − | 3.04408i | 0.716126 | − | 0.151825i | ||||
\(403\) | −3.79650 | + | 3.79650i | −0.189117 | + | 0.189117i | ||||
\(404\) | −11.9753 | + | 5.31671i | −0.595792 | + | 0.264516i | ||||
\(405\) | −20.7618 | + | 8.32145i | −1.03166 | + | 0.413496i | ||||
\(406\) | −13.8202 | + | 21.2569i | −0.685886 | + | 1.05496i | ||||
\(407\) | 22.4007 | + | 22.4007i | 1.11036 | + | 1.11036i | ||||
\(408\) | 21.9192 | + | 30.2692i | 1.08516 | + | 1.49855i | ||||
\(409\) | 1.14078i | 0.0564082i | 0.999602 | + | 0.0282041i | \(0.00897883\pi\) | ||||
−0.999602 | + | 0.0282041i | \(0.991021\pi\) | |||||||
\(410\) | 24.2846 | − | 16.2640i | 1.19933 | − | 0.803221i | ||||
\(411\) | 9.27746i | 0.457623i | ||||||||
\(412\) | −5.64774 | + | 14.6669i | −0.278244 | + | 0.722587i | ||||
\(413\) | 11.2284 | + | 11.2284i | 0.552514 | + | 0.552514i | ||||
\(414\) | 1.27647 | + | 0.829901i | 0.0627351 | + | 0.0407874i | ||||
\(415\) | 6.54893 | − | 15.3102i | 0.321474 | − | 0.751547i | ||||
\(416\) | −5.46792 | + | 1.44978i | −0.268087 | + | 0.0710815i | ||||
\(417\) | 9.97308 | − | 9.97308i | 0.488384 | − | 0.488384i | ||||
\(418\) | −3.90244 | − | 18.4069i | −0.190874 | − | 0.900313i | ||||
\(419\) | 22.1193 | 1.08060 | 0.540300 | − | 0.841473i | \(-0.318311\pi\) | ||||
0.540300 | + | 0.841473i | \(0.318311\pi\) | |||||||
\(420\) | 19.8648 | − | 20.4140i | 0.969302 | − | 0.996099i | ||||
\(421\) | −6.48977 | −0.316292 | −0.158146 | − | 0.987416i | \(-0.550552\pi\) | ||||
−0.158146 | + | 0.987416i | \(0.550552\pi\) | |||||||
\(422\) | −6.95173 | − | 32.7898i | −0.338405 | − | 1.59618i | ||||
\(423\) | 0.500322 | − | 0.500322i | 0.0243265 | − | 0.0243265i | ||||
\(424\) | −13.1395 | − | 2.10227i | −0.638111 | − | 0.102095i | ||||
\(425\) | 0.825922 | − | 35.9077i | 0.0400631 | − | 1.74178i | ||||
\(426\) | −18.8893 | − | 12.2810i | −0.915192 | − | 0.595014i | ||||
\(427\) | 15.6809 | + | 15.6809i | 0.758850 | + | 0.758850i | ||||
\(428\) | −3.50880 | − | 1.35112i | −0.169604 | − | 0.0653089i | ||||
\(429\) | 7.44013i | 0.359213i | ||||||||
\(430\) | −5.57373 | + | 28.1782i | −0.268789 | + | 1.35887i | ||||
\(431\) | 3.21316i | 0.154773i | 0.997001 | + | 0.0773863i | \(0.0246575\pi\) | ||||
−0.997001 | + | 0.0773863i | \(0.975343\pi\) | |||||||
\(432\) | −19.2280 | + | 0.967298i | −0.925109 | + | 0.0465392i | ||||
\(433\) | −8.29376 | − | 8.29376i | −0.398573 | − | 0.398573i | 0.479157 | − | 0.877729i | \(-0.340943\pi\) |
−0.877729 | + | 0.479157i | \(0.840943\pi\) | |||||||
\(434\) | 14.3314 | − | 22.0431i | 0.687929 | − | 1.05810i | ||||
\(435\) | 19.5792 | + | 8.37499i | 0.938749 | + | 0.401550i | ||||
\(436\) | 11.3103 | + | 25.4752i | 0.541666 | + | 1.22004i | ||||
\(437\) | 6.53274 | − | 6.53274i | 0.312503 | − | 0.312503i | ||||
\(438\) | −28.9847 | + | 6.14502i | −1.38494 | + | 0.293621i | ||||
\(439\) | 2.29089 | 0.109338 | 0.0546690 | − | 0.998505i | \(-0.482590\pi\) | ||||
0.0546690 | + | 0.998505i | \(0.482590\pi\) | |||||||
\(440\) | −21.6359 | − | 13.6507i | −1.03145 | − | 0.650770i | ||||
\(441\) | 1.91282 | 0.0910869 | ||||||||
\(442\) | −9.93801 | + | 2.10695i | −0.472703 | + | 0.100217i | ||||
\(443\) | 18.0983 | − | 18.0983i | 0.859874 | − | 0.859874i | −0.131449 | − | 0.991323i | \(-0.541963\pi\) |
0.991323 | + | 0.131449i | \(0.0419630\pi\) | |||||||
\(444\) | 11.6912 | + | 26.3330i | 0.554838 | + | 1.24971i | ||||
\(445\) | 7.44992 | + | 18.5874i | 0.353160 | + | 0.881126i | ||||
\(446\) | −21.7329 | + | 33.4273i | −1.02908 | + | 1.58283i | ||||
\(447\) | −8.52339 | − | 8.52339i | −0.403143 | − | 0.403143i | ||||
\(448\) | 24.7217 | − | 12.4986i | 1.16799 | − | 0.590505i | ||||
\(449\) | 28.9770i | 1.36751i | 0.729712 | + | 0.683755i | \(0.239654\pi\) | ||||
−0.729712 | + | 0.683755i | \(0.760346\pi\) | |||||||
\(450\) | −2.23778 | − | 1.52924i | −0.105490 | − | 0.0720889i | ||||
\(451\) | − | 37.3856i | − | 1.76042i | ||||||
\(452\) | −11.5625 | − | 4.45233i | −0.543854 | − | 0.209420i | ||||
\(453\) | −5.74272 | − | 5.74272i | −0.269816 | − | 0.269816i | ||||
\(454\) | −34.8271 | − | 22.6430i | −1.63452 | − | 1.06269i | ||||
\(455\) | 2.88061 | + | 7.18705i | 0.135045 | + | 0.336934i | ||||
\(456\) | 2.70359 | − | 16.8978i | 0.126607 | − | 0.791314i | ||||
\(457\) | −18.3539 | + | 18.3539i | −0.858557 | + | 0.858557i | −0.991168 | − | 0.132611i | \(-0.957664\pi\) |
0.132611 | + | 0.991168i | \(0.457664\pi\) | |||||||
\(458\) | 5.01454 | + | 23.6525i | 0.234314 | + | 1.10521i | ||||
\(459\) | −34.5745 | −1.61380 | ||||||||
\(460\) | −0.171244 | − | 12.5597i | −0.00798431 | − | 0.585601i | ||||
\(461\) | 23.9354 | 1.11478 | 0.557392 | − | 0.830249i | \(-0.311802\pi\) | ||||
0.557392 | + | 0.830249i | \(0.311802\pi\) | |||||||
\(462\) | −7.55645 | − | 35.6421i | −0.351558 | − | 1.65822i | ||||
\(463\) | 2.34220 | − | 2.34220i | 0.108851 | − | 0.108851i | −0.650583 | − | 0.759435i | \(-0.725476\pi\) |
0.759435 | + | 0.650583i | \(0.225476\pi\) | |||||||
\(464\) | 15.3616 | + | 13.8901i | 0.713146 | + | 0.644831i | ||||
\(465\) | −20.3033 | − | 8.68476i | −0.941545 | − | 0.402746i | ||||
\(466\) | −17.8324 | − | 11.5938i | −0.826070 | − | 0.537072i | ||||
\(467\) | 21.3761 | + | 21.3761i | 0.989168 | + | 0.989168i | 0.999942 | − | 0.0107738i | \(-0.00342948\pi\) |
−0.0107738 | + | 0.999942i | \(0.503429\pi\) | |||||||
\(468\) | −0.275479 | + | 0.715407i | −0.0127340 | + | 0.0330697i | ||||
\(469\) | − | 19.5380i | − | 0.902179i | ||||||
\(470\) | −5.72643 | − | 1.13270i | −0.264140 | − | 0.0522478i | ||||
\(471\) | 13.7748i | 0.634710i | ||||||||
\(472\) | 10.5055 | − | 7.60748i | 0.483554 | − | 0.350163i | ||||
\(473\) | 25.9802 | + | 25.9802i | 1.19457 | + | 1.19457i | ||||
\(474\) | −2.03431 | + | 3.12898i | −0.0934391 | + | 0.143719i | ||||
\(475\) | −11.8938 | + | 11.3590i | −0.545725 | + | 0.521185i | ||||
\(476\) | 45.4684 | − | 20.1868i | 2.08404 | − | 0.925260i | ||||
\(477\) | −1.27513 | + | 1.27513i | −0.0583842 | + | 0.0583842i | ||||
\(478\) | −14.4283 | + | 3.05892i | −0.659933 | + | 0.139912i | ||||
\(479\) | −31.6109 | −1.44434 | −0.722169 | − | 0.691716i | \(-0.756855\pi\) | ||||
−0.722169 | + | 0.691716i | \(0.756855\pi\) | |||||||
\(480\) | −13.9017 | − | 18.6567i | −0.634524 | − | 0.851556i | ||||
\(481\) | −7.83190 | −0.357104 | ||||||||
\(482\) | −1.08901 | + | 0.230879i | −0.0496028 | + | 0.0105163i | ||||
\(483\) | 12.6496 | − | 12.6496i | 0.575577 | − | 0.575577i | ||||
\(484\) | −9.80025 | + | 4.35106i | −0.445466 | + | 0.197775i | ||||
\(485\) | −1.08125 | + | 2.52776i | −0.0490970 | + | 0.114780i | ||||
\(486\) | −3.05261 | + | 4.69522i | −0.138469 | + | 0.212980i | ||||
\(487\) | 16.0980 | + | 16.0980i | 0.729470 | + | 0.729470i | 0.970514 | − | 0.241044i | \(-0.0774898\pi\) |
−0.241044 | + | 0.970514i | \(0.577490\pi\) | |||||||
\(488\) | 14.6713 | − | 10.6241i | 0.664137 | − | 0.480931i | ||||
\(489\) | 36.3177i | 1.64234i | ||||||||
\(490\) | −8.78134 | − | 13.1119i | −0.396700 | − | 0.592334i | ||||
\(491\) | − | 4.44534i | − | 0.200615i | −0.994956 | − | 0.100308i | \(-0.968017\pi\) | ||
0.994956 | − | 0.100308i | \(-0.0319827\pi\) | |||||||
\(492\) | 12.2182 | − | 31.7302i | 0.550841 | − | 1.43051i | ||||
\(493\) | 26.2992 | + | 26.2992i | 1.18446 | + | 1.18446i | ||||
\(494\) | 3.89998 | + | 2.53558i | 0.175469 | + | 0.114081i | ||||
\(495\) | −3.21804 | + | 1.28981i | −0.144640 | + | 0.0579725i | ||||
\(496\) | −15.9298 | − | 14.4038i | −0.715270 | − | 0.646752i | ||||
\(497\) | −21.2074 | + | 21.2074i | −0.951283 | + | 0.951283i | ||||
\(498\) | −4.01768 | − | 18.9505i | −0.180036 | − | 0.849192i | ||||
\(499\) | 1.10569 | 0.0494976 | 0.0247488 | − | 0.999694i | \(-0.492121\pi\) | ||||
0.0247488 | + | 0.999694i | \(0.492121\pi\) | |||||||
\(500\) | −0.209375 | + | 22.3597i | −0.00936354 | + | 0.999956i | ||||
\(501\) | 1.24763 | 0.0557399 | ||||||||
\(502\) | −0.550178 | − | 2.59507i | −0.0245556 | − | 0.115824i | ||||
\(503\) | 11.9973 | − | 11.9973i | 0.534933 | − | 0.534933i | −0.387104 | − | 0.922036i | \(-0.626524\pi\) |
0.922036 | + | 0.387104i | \(0.126524\pi\) | |||||||
\(504\) | 0.593099 | − | 3.70696i | 0.0264187 | − | 0.165121i | ||||
\(505\) | 13.5975 | − | 5.44994i | 0.605080 | − | 0.242519i | ||||
\(506\) | −13.4702 | − | 8.75769i | −0.598824 | − | 0.389327i | ||||
\(507\) | −1.30064 | − | 1.30064i | −0.0577633 | − | 0.0577633i | ||||
\(508\) | −13.6811 | − | 5.26813i | −0.607000 | − | 0.233735i | ||||
\(509\) | 0.850066i | 0.0376785i | 0.999823 | + | 0.0188393i | \(0.00599708\pi\) | ||||
−0.999823 | + | 0.0188393i | \(0.994003\pi\) | |||||||
\(510\) | −23.2506 | − | 34.7167i | −1.02955 | − | 1.53728i | ||||
\(511\) | 39.4408i | 1.74476i | ||||||||
\(512\) | −6.89071 | − | 21.5527i | −0.304529 | − | 0.952503i | ||||
\(513\) | 11.1947 | + | 11.1947i | 0.494258 | + | 0.494258i | ||||
\(514\) | 20.4331 | − | 31.4282i | 0.901266 | − | 1.38624i | ||||
\(515\) | 6.91067 | − | 16.1559i | 0.304520 | − | 0.711912i | ||||
\(516\) | 13.5593 | + | 30.5408i | 0.596916 | + | 1.34449i | ||||
\(517\) | −5.27974 | + | 5.27974i | −0.232203 | + | 0.232203i | ||||
\(518\) | 37.5189 | − | 7.95435i | 1.64849 | − | 0.349494i | ||||
\(519\) | −20.4292 | −0.896740 | ||||||||
\(520\) | 6.16858 | − | 1.39593i | 0.270510 | − | 0.0612158i | ||||
\(521\) | 31.9059 | 1.39782 | 0.698910 | − | 0.715209i | \(-0.253669\pi\) | ||||
0.698910 | + | 0.715209i | \(0.253669\pi\) | |||||||
\(522\) | 2.74561 | − | 0.582095i | 0.120172 | − | 0.0254776i | ||||
\(523\) | −19.7168 | + | 19.7168i | −0.862155 | + | 0.862155i | −0.991588 | − | 0.129433i | \(-0.958684\pi\) |
0.129433 | + | 0.991588i | \(0.458684\pi\) | |||||||
\(524\) | −3.64768 | − | 8.21599i | −0.159350 | − | 0.358917i | ||||
\(525\) | −23.0305 | + | 21.9948i | −1.00513 | + | 0.959932i | ||||
\(526\) | −18.7406 | + | 28.8250i | −0.817131 | + | 1.25683i | ||||
\(527\) | −27.2719 | − | 27.2719i | −1.18798 | − | 1.18798i | ||||
\(528\) | −29.7229 | + | 1.49526i | −1.29352 | + | 0.0650729i | ||||
\(529\) | 15.1112i | 0.657008i | ||||||||
\(530\) | 14.5945 | + | 2.88683i | 0.633944 | + | 0.125396i | ||||
\(531\) | − | 1.75778i | − | 0.0762811i | ||||||
\(532\) | −21.2582 | − | 8.18582i | −0.921660 | − | 0.354900i | ||||
\(533\) | 6.53552 | + | 6.53552i | 0.283085 | + | 0.283085i | ||||
\(534\) | 19.5304 | + | 12.6978i | 0.845165 | + | 0.549486i | ||||
\(535\) | 3.86500 | + | 1.65325i | 0.167098 | + | 0.0714764i | ||||
\(536\) | −15.7587 | − | 2.52133i | −0.680672 | − | 0.108905i | ||||
\(537\) | 10.6982 | − | 10.6982i | 0.461662 | − | 0.461662i | ||||
\(538\) | 0.579244 | + | 2.73217i | 0.0249730 | + | 0.117792i | ||||
\(539\) | −20.1854 | −0.869449 | ||||||||
\(540\) | 21.5228 | − | 0.293450i | 0.926193 | − | 0.0126281i | ||||
\(541\) | 23.7553 | 1.02132 | 0.510659 | − | 0.859783i | \(-0.329401\pi\) | ||||
0.510659 | + | 0.859783i | \(0.329401\pi\) | |||||||
\(542\) | −2.11430 | − | 9.97267i | −0.0908168 | − | 0.428363i | ||||
\(543\) | 15.7757 | − | 15.7757i | 0.676998 | − | 0.676998i | ||||
\(544\) | −10.4144 | − | 39.2784i | −0.446515 | − | 1.68405i | ||||
\(545\) | −11.5937 | − | 28.9261i | −0.496622 | − | 1.23906i | ||||
\(546\) | 7.55170 | + | 4.90976i | 0.323183 | + | 0.210118i | ||||
\(547\) | −25.4126 | − | 25.4126i | −1.08657 | − | 1.08657i | −0.995880 | − | 0.0906855i | \(-0.971094\pi\) |
−0.0906855 | − | 0.995880i | \(-0.528906\pi\) | |||||||
\(548\) | 3.62494 | − | 9.41381i | 0.154850 | − | 0.402138i | ||||
\(549\) | − | 2.45480i | − | 0.104768i | ||||||
\(550\) | 23.6146 | + | 16.1376i | 1.00693 | + | 0.688108i | ||||
\(551\) | − | 17.0306i | − | 0.725527i | ||||||
\(552\) | −8.57037 | − | 11.8352i | −0.364779 | − | 0.503738i | ||||
\(553\) | 3.51297 | + | 3.51297i | 0.149386 | + | 0.149386i | ||||
\(554\) | −4.18679 | + | 6.43971i | −0.177880 | + | 0.273597i | ||||
\(555\) | −11.9841 | − | 29.9001i | −0.508698 | − | 1.26919i | ||||
\(556\) | −14.0164 | + | 6.22291i | −0.594427 | + | 0.263910i | ||||
\(557\) | 4.98781 | − | 4.98781i | 0.211340 | − | 0.211340i | −0.593496 | − | 0.804837i | \(-0.702253\pi\) |
0.804837 | + | 0.593496i | \(0.202253\pi\) | |||||||
\(558\) | −2.84717 | + | 0.603625i | −0.120530 | + | 0.0255535i | ||||
\(559\) | −9.08338 | −0.384186 | ||||||||
\(560\) | −28.1330 | + | 12.9523i | −1.18884 | + | 0.547334i | ||||
\(561\) | −53.4456 | −2.25648 | ||||||||
\(562\) | −28.3037 | + | 6.00065i | −1.19392 | + | 0.253122i | ||||
\(563\) | 16.6885 | − | 16.6885i | 0.703337 | − | 0.703337i | −0.261788 | − | 0.965125i | \(-0.584312\pi\) |
0.965125 | + | 0.261788i | \(0.0843122\pi\) | |||||||
\(564\) | −6.20656 | + | 2.75555i | −0.261343 | + | 0.116030i | ||||
\(565\) | 12.7363 | + | 5.44795i | 0.535820 | + | 0.229197i | ||||
\(566\) | 7.47277 | − | 11.4939i | 0.314104 | − | 0.483124i | ||||
\(567\) | 24.4924 | + | 24.4924i | 1.02858 | + | 1.02858i | ||||
\(568\) | 14.3685 | + | 19.8420i | 0.602887 | + | 0.832552i | ||||
\(569\) | 30.7533i | 1.28925i | 0.764501 | + | 0.644623i | \(0.222986\pi\) | ||||
−0.764501 | + | 0.644623i | \(0.777014\pi\) | |||||||
\(570\) | −3.71256 | + | 18.7690i | −0.155502 | + | 0.786146i | ||||
\(571\) | − | 30.5271i | − | 1.27752i | −0.769407 | − | 0.638759i | \(-0.779448\pi\) | ||
0.769407 | − | 0.638759i | \(-0.220552\pi\) | |||||||
\(572\) | 2.90705 | − | 7.54947i | 0.121550 | − | 0.315659i | ||||
\(573\) | 9.87104 | + | 9.87104i | 0.412369 | + | 0.412369i | ||||
\(574\) | −37.9463 | − | 24.6709i | −1.58385 | − | 1.02974i | ||||
\(575\) | −0.322934 | + | 14.0398i | −0.0134673 | + | 0.585501i | ||||
\(576\) | −2.91338 | − | 0.956749i | −0.121391 | − | 0.0398645i | ||||
\(577\) | 9.01226 | − | 9.01226i | 0.375185 | − | 0.375185i | −0.494176 | − | 0.869362i | \(-0.664530\pi\) |
0.869362 | + | 0.494176i | \(0.164530\pi\) | |||||||
\(578\) | −10.1489 | − | 47.8701i | −0.422139 | − | 1.99114i | ||||
\(579\) | −4.87027 | −0.202401 | ||||||||
\(580\) | −16.5946 | − | 16.1482i | −0.689053 | − | 0.670516i | ||||
\(581\) | −25.7868 | −1.06982 | ||||||||
\(582\) | 0.663331 | + | 3.12878i | 0.0274959 | + | 0.129692i | ||||
\(583\) | 13.4560 | − | 13.4560i | 0.557292 | − | 0.557292i | ||||
\(584\) | 31.8117 | + | 5.08974i | 1.31638 | + | 0.210615i | ||||
\(585\) | 0.337081 | − | 0.788033i | 0.0139366 | − | 0.0325812i | ||||
\(586\) | −1.47115 | − | 0.956470i | −0.0607725 | − | 0.0395114i | ||||
\(587\) | −10.4686 | − | 10.4686i | −0.432086 | − | 0.432086i | 0.457252 | − | 0.889337i | \(-0.348834\pi\) |
−0.889337 | + | 0.457252i | \(0.848834\pi\) | |||||||
\(588\) | −17.1319 | − | 6.59693i | −0.706509 | − | 0.272053i | ||||
\(589\) | 17.6605i | 0.727688i | ||||||||
\(590\) | −12.0491 | + | 8.06956i | −0.496053 | + | 0.332219i | ||||
\(591\) | 4.56502i | 0.187780i | ||||||||
\(592\) | −1.57400 | − | 31.2880i | −0.0646909 | − | 1.28593i | ||||
\(593\) | −25.3945 | − | 25.3945i | −1.04283 | − | 1.04283i | −0.999041 | − | 0.0437878i | \(-0.986057\pi\) |
−0.0437878 | − | 0.999041i | \(-0.513943\pi\) | |||||||
\(594\) | 15.0075 | − | 23.0830i | 0.615763 | − | 0.947106i | ||||
\(595\) | −51.6277 | + | 20.6927i | −2.11653 | + | 0.848316i | ||||
\(596\) | 5.31835 | + | 11.9790i | 0.217848 | + | 0.490677i | ||||
\(597\) | 22.5441 | − | 22.5441i | 0.922669 | − | 0.922669i | ||||
\(598\) | 3.88574 | − | 0.823812i | 0.158900 | − | 0.0336882i | ||||
\(599\) | 19.7377 | 0.806462 | 0.403231 | − | 0.915098i | \(-0.367887\pi\) | ||||
0.403231 | + | 0.915098i | \(0.367887\pi\) | |||||||
\(600\) | 14.7683 | + | 21.4140i | 0.602913 | + | 0.874223i | ||||
\(601\) | −13.2207 | −0.539282 | −0.269641 | − | 0.962961i | \(-0.586905\pi\) | ||||
−0.269641 | + | 0.962961i | \(0.586905\pi\) | |||||||
\(602\) | 43.5142 | − | 9.22540i | 1.77351 | − | 0.375999i | ||||
\(603\) | −1.52931 | + | 1.52931i | −0.0622783 | + | 0.0622783i | ||||
\(604\) | 3.58329 | + | 8.07094i | 0.145802 | + | 0.328402i | ||||
\(605\) | 11.1278 | − | 4.46009i | 0.452410 | − | 0.181328i | ||||
\(606\) | 9.28898 | − | 14.2874i | 0.377339 | − | 0.580385i | ||||
\(607\) | 13.8113 | + | 13.8113i | 0.560582 | + | 0.560582i | 0.929473 | − | 0.368890i | \(-0.120262\pi\) |
−0.368890 | + | 0.929473i | \(0.620262\pi\) | |||||||
\(608\) | −9.34574 | + | 16.0898i | −0.379020 | + | 0.652528i | ||||
\(609\) | − | 32.9770i | − | 1.33630i | ||||||
\(610\) | −16.8270 | + | 11.2694i | −0.681304 | + | 0.456285i | ||||
\(611\) | − | 1.84594i | − | 0.0746788i | ||||||
\(612\) | −5.13908 | − | 1.97889i | −0.207735 | − | 0.0799918i | ||||
\(613\) | 3.80362 | + | 3.80362i | 0.153627 | + | 0.153627i | 0.779736 | − | 0.626109i | \(-0.215354\pi\) |
−0.626109 | + | 0.779736i | \(0.715354\pi\) | |||||||
\(614\) | 34.5206 | + | 22.4436i | 1.39314 | + | 0.905752i | ||||
\(615\) | −14.9504 | + | 34.9513i | −0.602860 | + | 1.40937i | ||||
\(616\) | −6.25879 | + | 39.1184i | −0.252174 | + | 1.57613i | ||||
\(617\) | −6.05214 | + | 6.05214i | −0.243650 | + | 0.243650i | −0.818358 | − | 0.574708i | \(-0.805115\pi\) |
0.574708 | + | 0.818358i | \(0.305115\pi\) | |||||||
\(618\) | −4.23960 | − | 19.9972i | −0.170542 | − | 0.804407i | ||||
\(619\) | 26.1152 | 1.04966 | 0.524829 | − | 0.851207i | \(-0.324129\pi\) | ||||
0.524829 | + | 0.851207i | \(0.324129\pi\) | |||||||
\(620\) | 17.2084 | + | 16.7454i | 0.691105 | + | 0.672513i | ||||
\(621\) | 13.5185 | 0.542480 | ||||||||
\(622\) | 2.82661 | + | 13.3325i | 0.113337 | + | 0.534584i | ||||
\(623\) | 21.9272 | − | 21.9272i | 0.878495 | − | 0.878495i | ||||
\(624\) | 4.93458 | − | 5.45736i | 0.197541 | − | 0.218469i | ||||
\(625\) | 1.14946 | − | 24.9736i | 0.0459782 | − | 0.998942i | ||||
\(626\) | 15.0905 | + | 9.81110i | 0.603136 | + | 0.392131i | ||||
\(627\) | 17.3049 | + | 17.3049i | 0.691092 | + | 0.691092i | ||||
\(628\) | 5.38217 | − | 13.9772i | 0.214772 | − | 0.557753i | ||||
\(629\) | − | 56.2599i | − | 2.24323i | ||||||
\(630\) | −0.814442 | + | 4.11744i | −0.0324482 | + | 0.164043i | ||||
\(631\) | − | 30.5634i | − | 1.21671i | −0.793665 | − | 0.608355i | \(-0.791830\pi\) | ||
0.793665 | − | 0.608355i | \(-0.208170\pi\) | |||||||
\(632\) | 3.28678 | − | 2.38010i | 0.130741 | − | 0.0946755i | ||||
\(633\) | 30.8266 | + | 30.8266i | 1.22525 | + | 1.22525i | ||||
\(634\) | −21.8288 | + | 33.5748i | −0.866930 | + | 1.33343i | ||||
\(635\) | 15.0699 | + | 6.44617i | 0.598032 | + | 0.255808i | ||||
\(636\) | 15.8182 | − | 7.02285i | 0.627231 | − | 0.278474i | ||||
\(637\) | 3.52869 | − | 3.52869i | 0.139812 | − | 0.139812i | ||||
\(638\) | −28.9736 | + | 6.14267i | −1.14708 | + | 0.243191i | ||||
\(639\) | 3.31997 | 0.131336 | ||||||||
\(640\) | 6.81640 | + | 24.3626i | 0.269442 | + | 0.963017i | ||||
\(641\) | −31.0791 | −1.22755 | −0.613775 | − | 0.789481i | \(-0.710350\pi\) | ||||
−0.613775 | + | 0.789481i | \(0.710350\pi\) | |||||||
\(642\) | 4.78398 | − | 1.01425i | 0.188809 | − | 0.0400292i | ||||
\(643\) | −24.4247 | + | 24.4247i | −0.963214 | + | 0.963214i | −0.999347 | − | 0.0361326i | \(-0.988496\pi\) |
0.0361326 | + | 0.999347i | \(0.488496\pi\) | |||||||
\(644\) | −17.7780 | + | 7.89299i | −0.700553 | + | 0.311027i | ||||
\(645\) | −13.8991 | − | 34.6780i | −0.547277 | − | 1.36544i | ||||
\(646\) | −18.2142 | + | 28.0153i | −0.716628 | + | 1.10225i | ||||
\(647\) | 11.3024 | + | 11.3024i | 0.444343 | + | 0.444343i | 0.893469 | − | 0.449126i | \(-0.148264\pi\) |
−0.449126 | + | 0.893469i | \(0.648264\pi\) | |||||||
\(648\) | 22.9154 | − | 16.5941i | 0.900203 | − | 0.651876i | ||||
\(649\) | 18.5493i | 0.728124i | ||||||||
\(650\) | −6.94921 | + | 1.30708i | −0.272570 | + | 0.0512679i | ||||
\(651\) | 34.1968i | 1.34028i | ||||||||
\(652\) | 14.1903 | − | 36.8514i | 0.555733 | − | 1.44321i | ||||
\(653\) | −32.6706 | − | 32.6706i | −1.27850 | − | 1.27850i | −0.941508 | − | 0.336991i | \(-0.890591\pi\) |
−0.336991 | − | 0.941508i | \(-0.609409\pi\) | |||||||
\(654\) | −30.3937 | − | 19.7606i | −1.18849 | − | 0.772700i | ||||
\(655\) | 3.73909 | + | 9.32895i | 0.146098 | + | 0.364512i | ||||
\(656\) | −24.7956 | + | 27.4225i | −0.968105 | + | 1.07067i | ||||
\(657\) | 3.08718 | − | 3.08718i | 0.120442 | − | 0.120442i | ||||
\(658\) | 1.87480 | + | 8.84303i | 0.0730874 | + | 0.344737i | ||||
\(659\) | −23.7796 | −0.926321 | −0.463161 | − | 0.886274i | \(-0.653285\pi\) | ||||
−0.463161 | + | 0.886274i | \(0.653285\pi\) | |||||||
\(660\) | 33.2702 | − | 0.453618i | 1.29504 | − | 0.0176571i | ||||
\(661\) | 40.2359 | 1.56499 | 0.782497 | − | 0.622654i | \(-0.213946\pi\) | ||||
0.782497 | + | 0.622654i | \(0.213946\pi\) | |||||||
\(662\) | 1.61893 | + | 7.63612i | 0.0629213 | + | 0.296786i | ||||
\(663\) | 9.34303 | − | 9.34303i | 0.362853 | − | 0.362853i | ||||
\(664\) | −3.32773 | + | 20.7988i | −0.129141 | + | 0.807150i | ||||
\(665\) | 23.4163 | + | 10.0163i | 0.908044 | + | 0.388416i | ||||
\(666\) | −3.55936 | − | 2.31413i | −0.137922 | − | 0.0896706i | ||||
\(667\) | −10.2829 | − | 10.2829i | −0.398156 | − | 0.398156i | ||||
\(668\) | −1.26596 | − | 0.487480i | −0.0489816 | − | 0.0188612i | ||||
\(669\) | − | 51.8577i | − | 2.00494i | ||||||
\(670\) | 17.5037 | + | 3.46228i | 0.676227 | + | 0.133760i | ||||
\(671\) | 25.9047i | 1.00004i | ||||||||
\(672\) | −18.0965 | + | 31.1554i | −0.698089 | + | 1.20184i | ||||
\(673\) | −22.3504 | − | 22.3504i | −0.861545 | − | 0.861545i | 0.129973 | − | 0.991518i | \(-0.458511\pi\) |
−0.991518 | + | 0.129973i | \(0.958511\pi\) | |||||||
\(674\) | −17.5544 | + | 27.0005i | −0.676171 | + | 1.04002i | ||||
\(675\) | −24.0591 | − | 0.553389i | −0.926034 | − | 0.0213000i | ||||
\(676\) | 0.811558 | + | 1.82794i | 0.0312138 | + | 0.0703055i | ||||
\(677\) | −21.3069 | + | 21.3069i | −0.818891 | + | 0.818891i | −0.985947 | − | 0.167056i | \(-0.946574\pi\) |
0.167056 | + | 0.985947i | \(0.446574\pi\) | |||||||
\(678\) | 15.7646 | − | 3.34224i | 0.605436 | − | 0.128358i | ||||
\(679\) | 4.25748 | 0.163387 | ||||||||
\(680\) | 10.0276 | + | 44.3116i | 0.384541 | + | 1.69927i | ||||
\(681\) | 54.0294 | 2.07041 | ||||||||
\(682\) | 30.0453 | − | 6.36987i | 1.15049 | − | 0.243915i | ||||
\(683\) | 22.2168 | − | 22.2168i | 0.850101 | − | 0.850101i | −0.140044 | − | 0.990145i | \(-0.544725\pi\) |
0.990145 | + | 0.140044i | \(0.0447245\pi\) | |||||||
\(684\) | 1.02322 | + | 2.30469i | 0.0391239 | + | 0.0881221i | ||||
\(685\) | −4.43554 | + | 10.3695i | −0.169473 | + | 0.396197i | ||||
\(686\) | 5.36433 | − | 8.25088i | 0.204811 | − | 0.315020i | ||||
\(687\) | −22.2364 | − | 22.2364i | −0.848372 | − | 0.848372i | ||||
\(688\) | −1.82551 | − | 36.2877i | −0.0695970 | − | 1.38345i | ||||
\(689\) | 4.70460i | 0.179231i | ||||||||
\(690\) | 9.09094 | + | 13.5742i | 0.346086 | + | 0.516760i | ||||
\(691\) | 29.8285i | 1.13473i | 0.823467 | + | 0.567364i | \(0.192037\pi\) | ||||
−0.823467 | + | 0.567364i | \(0.807963\pi\) | |||||||
\(692\) | 20.7294 | + | 7.98220i | 0.788013 | + | 0.303438i | ||||
\(693\) | 3.79627 | + | 3.79627i | 0.144208 | + | 0.144208i | ||||
\(694\) | 29.5456 | + | 19.2091i | 1.12153 | + | 0.729168i | ||||
\(695\) | 15.9151 | − | 6.37885i | 0.603693 | − | 0.241964i | ||||
\(696\) | −26.5982 | − | 4.25561i | −1.00820 | − | 0.161308i | ||||
\(697\) | −46.9474 | + | 46.9474i | −1.77826 | + | 1.77826i | ||||
\(698\) | 0.681771 | + | 3.21577i | 0.0258054 | + | 0.121719i | ||||
\(699\) | 27.6644 | 1.04637 | ||||||||
\(700\) | 31.9629 | − | 13.3195i | 1.20808 | − | 0.503429i | ||||
\(701\) | −11.6474 | −0.439915 | −0.219958 | − | 0.975509i | \(-0.570592\pi\) | ||||
−0.219958 | + | 0.975509i | \(0.570592\pi\) | |||||||
\(702\) | 1.41171 | + | 6.65873i | 0.0532816 | + | 0.251317i | ||||
\(703\) | −18.2161 | + | 18.2161i | −0.687035 | + | 0.687035i | ||||
\(704\) | 30.7440 | + | 10.0963i | 1.15871 | + | 0.380518i | ||||
\(705\) | 7.04732 | − | 2.82460i | 0.265417 | − | 0.106381i | ||||
\(706\) | 20.4451 | + | 13.2925i | 0.769463 | + | 0.500268i | ||||
\(707\) | −16.0407 | − | 16.0407i | −0.603273 | − | 0.603273i | ||||
\(708\) | −6.06222 | + | 15.7433i | −0.227832 | + | 0.591669i | ||||
\(709\) | − | 1.13943i | − | 0.0427923i | −0.999771 | − | 0.0213962i | \(-0.993189\pi\) | ||
0.999771 | − | 0.0213962i | \(-0.00681113\pi\) | |||||||
\(710\) | −15.2412 | − | 22.7575i | −0.571993 | − | 0.854072i | ||||
\(711\) | − | 0.549946i | − | 0.0206246i | ||||||
\(712\) | −14.8561 | − | 20.5154i | −0.556757 | − | 0.768848i | ||||
\(713\) | 10.6633 | + | 10.6633i | 0.399342 | + | 0.399342i | ||||
\(714\) | −35.2689 | + | 54.2471i | −1.31991 | + | 2.03015i | ||||
\(715\) | −3.55712 | + | 8.31587i | −0.133029 | + | 0.310996i | ||||
\(716\) | −15.0355 | + | 6.67537i | −0.561903 | + | 0.249470i | ||||
\(717\) | 13.5644 | − | 13.5644i | 0.506573 | − | 0.506573i | ||||
\(718\) | 38.1887 | − | 8.09634i | 1.42519 | − | 0.302153i | ||||
\(719\) | −0.753679 | −0.0281075 | −0.0140537 | − | 0.999901i | \(-0.504474\pi\) | ||||
−0.0140537 | + | 0.999901i | \(0.504474\pi\) | |||||||
\(720\) | 3.21590 | + | 1.18825i | 0.119849 | + | 0.0442834i | ||||
\(721\) | −27.2112 | −1.01340 | ||||||||
\(722\) | −11.3174 | + | 2.39939i | −0.421189 | + | 0.0892960i | ||||
\(723\) | 1.02381 | − | 1.02381i | 0.0380758 | − | 0.0380758i | ||||
\(724\) | −22.1714 | + | 9.84354i | −0.823995 | + | 0.365832i | ||||
\(725\) | 17.8797 | + | 18.7215i | 0.664034 | + | 0.695301i | ||||
\(726\) | 7.60185 | − | 11.6924i | 0.282131 | − | 0.433946i | ||||
\(727\) | −30.7685 | − | 30.7685i | −1.14114 | − | 1.14114i | −0.988242 | − | 0.152898i | \(-0.951139\pi\) |
−0.152898 | − | 0.988242i | \(-0.548861\pi\) | |||||||
\(728\) | −5.74431 | − | 7.93256i | −0.212898 | − | 0.294000i | ||||
\(729\) | 22.7250i | 0.841667i | ||||||||
\(730\) | −35.3343 | − | 6.98923i | −1.30778 | − | 0.258683i | ||||
\(731\) | − | 65.2499i | − | 2.41335i | ||||||
\(732\) | −8.46609 | + | 21.9860i | −0.312916 | + | 0.812628i | ||||
\(733\) | −32.7186 | − | 32.7186i | −1.20849 | − | 1.20849i | −0.971517 | − | 0.236971i | \(-0.923845\pi\) |
−0.236971 | − | 0.971517i | \(-0.576155\pi\) | |||||||
\(734\) | 12.8447 | + | 8.35102i | 0.474107 | + | 0.308242i | ||||
\(735\) | 18.8711 | + | 8.07212i | 0.696072 | + | 0.297745i | ||||
\(736\) | 4.07201 | + | 15.3578i | 0.150096 | + | 0.566095i | ||||
\(737\) | 16.1383 | − | 16.1383i | 0.594463 | − | 0.594463i | ||||
\(738\) | 1.03911 | + | 4.90128i | 0.0382503 | + | 0.180418i | ||||
\(739\) | 23.2546 | 0.855435 | 0.427718 | − | 0.903912i | \(-0.359318\pi\) | ||||
0.427718 | + | 0.903912i | \(0.359318\pi\) | |||||||
\(740\) | 0.477504 | + | 35.0221i | 0.0175534 | + | 1.28744i | ||||
\(741\) | −6.05027 | −0.222262 | ||||||||
\(742\) | −4.77816 | − | 22.5375i | −0.175412 | − | 0.827378i | ||||
\(743\) | 17.0992 | − | 17.0992i | 0.627310 | − | 0.627310i | −0.320080 | − | 0.947391i | \(-0.603710\pi\) |
0.947391 | + | 0.320080i | \(0.103710\pi\) | |||||||
\(744\) | 27.5820 | + | 4.41301i | 1.01121 | + | 0.161789i | ||||
\(745\) | −5.45162 | − | 13.6017i | −0.199732 | − | 0.498326i | ||||
\(746\) | −38.6013 | − | 25.0968i | −1.41330 | − | 0.918858i | ||||
\(747\) | 2.01843 | + | 2.01843i | 0.0738505 | + | 0.0738505i | ||||
\(748\) | 54.2311 | + | 20.8826i | 1.98289 | + | 0.763543i | ||||
\(749\) | − | 6.50979i | − | 0.237862i | ||||||
\(750\) | −15.6236 | − | 24.5302i | −0.570492 | − | 0.895716i | ||||
\(751\) | 30.0382i | 1.09611i | 0.836443 | + | 0.548054i | \(0.184631\pi\) | ||||
−0.836443 | + | 0.548054i | \(0.815369\pi\) | |||||||
\(752\) | 7.37444 | − | 0.370984i | 0.268918 | − | 0.0135284i | ||||
\(753\) | 2.43970 | + | 2.43970i | 0.0889077 | + | 0.0889077i | ||||
\(754\) | 3.99116 | − | 6.13881i | 0.145350 | − | 0.223562i | ||||
\(755\) | −3.67308 | − | 9.16425i | −0.133677 | − | 0.333521i | ||||
\(756\) | −13.5257 | − | 30.4650i | −0.491924 | − | 1.10800i | ||||
\(757\) | −9.63522 | + | 9.63522i | −0.350198 | + | 0.350198i | −0.860183 | − | 0.509985i | \(-0.829651\pi\) |
0.509985 | + | 0.860183i | \(0.329651\pi\) | |||||||
\(758\) | −38.0175 | + | 8.06005i | −1.38086 | + | 0.292754i | ||||
\(759\) | 20.8971 | 0.758518 | ||||||||
\(760\) | 11.1006 | − | 17.5942i | 0.402663 | − | 0.638210i | ||||
\(761\) | −24.2327 | −0.878435 | −0.439218 | − | 0.898381i | \(-0.644744\pi\) | ||||
−0.439218 | + | 0.898381i | \(0.644744\pi\) | |||||||
\(762\) | 18.6531 | − | 3.95463i | 0.675732 | − | 0.143261i | ||||
\(763\) | −34.1236 | + | 34.1236i | −1.23536 | + | 1.23536i | ||||
\(764\) | −6.15924 | − | 13.8730i | −0.222833 | − | 0.501907i | ||||
\(765\) | 5.66078 | + | 2.42140i | 0.204666 | + | 0.0875459i | ||||
\(766\) | 2.62107 | − | 4.03148i | 0.0947033 | − | 0.145663i | ||||
\(767\) | −3.24267 | − | 3.24267i | −0.117086 | − | 0.117086i | ||||
\(768\) | 22.7936 | + | 18.6166i | 0.822493 | + | 0.671769i | ||||
\(769\) | 5.49796i | 0.198261i | 0.995074 | + | 0.0991307i | \(0.0316062\pi\) | ||||
−0.995074 | + | 0.0991307i | \(0.968394\pi\) | |||||||
\(770\) | 8.59456 | − | 43.4501i | 0.309726 | − | 1.56583i | ||||
\(771\) | 48.7564i | 1.75592i | ||||||||
\(772\) | 4.94184 | + | 1.90294i | 0.177861 | + | 0.0684883i | ||||
\(773\) | 10.0820 | + | 10.0820i | 0.362625 | + | 0.362625i | 0.864779 | − | 0.502153i | \(-0.167459\pi\) |
−0.502153 | + | 0.864779i | \(0.667459\pi\) | |||||||
\(774\) | −4.12812 | − | 2.68391i | −0.148382 | − | 0.0964712i | ||||
\(775\) | −18.5410 | − | 19.4140i | −0.666012 | − | 0.697372i | ||||
\(776\) | 0.549417 | − | 3.43395i | 0.0197229 | − | 0.123271i | ||||
\(777\) | −35.2727 | + | 35.2727i | −1.26540 | + | 1.26540i | ||||
\(778\) | −0.998297 | − | 4.70875i | −0.0357907 | − | 0.168817i | ||||
\(779\) | 30.4018 | 1.08926 | ||||||||
\(780\) | −5.73678 | + | 5.89538i | −0.205410 | + | 0.211088i | ||||
\(781\) | −35.0346 | −1.25364 | ||||||||
\(782\) | 5.91780 | + | 27.9129i | 0.211620 | + | 0.998165i | ||||
\(783\) | 17.6211 | − | 17.6211i | 0.629728 | − | 0.629728i | ||||
\(784\) | 14.8061 | + | 13.3878i | 0.528790 | + | 0.478135i | ||||
\(785\) | −6.58572 | + | 15.3962i | −0.235054 | + | 0.549513i | ||||
\(786\) | 9.80227 | + | 6.37297i | 0.349635 | + | 0.227316i | ||||
\(787\) | 12.8322 | + | 12.8322i | 0.457420 | + | 0.457420i | 0.897808 | − | 0.440388i | \(-0.145159\pi\) |
−0.440388 | + | 0.897808i | \(0.645159\pi\) | |||||||
\(788\) | 1.78367 | − | 4.63211i | 0.0635407 | − | 0.165012i | ||||
\(789\) | − | 44.7179i | − | 1.59200i | ||||||
\(790\) | −3.76972 | + | 2.52467i | −0.134121 | + | 0.0898239i | ||||
\(791\) | − | 21.4516i | − | 0.762733i | ||||||
\(792\) | 3.55184 | − | 2.57205i | 0.126209 | − | 0.0913937i | ||||
\(793\) | −4.52850 | − | 4.52850i | −0.160812 | − | 0.160812i | ||||
\(794\) | −1.18519 | + | 1.82294i | −0.0420609 | + | 0.0646939i | ||||
\(795\) | −17.9609 | + | 7.19884i | −0.637008 | + | 0.255316i | ||||
\(796\) | −31.6840 | + | 14.0669i | −1.12301 | + | 0.498587i | ||||
\(797\) | 30.4077 | − | 30.4077i | 1.07709 | − | 1.07709i | 0.0803258 | − | 0.996769i | \(-0.474404\pi\) |
0.996769 | − | 0.0803258i | \(-0.0255961\pi\) | |||||||
\(798\) | 28.9840 | − | 6.14487i | 1.02602 | − | 0.217526i | ||||
\(799\) | 13.2602 | 0.469112 | ||||||||
\(800\) | −6.61832 | − | 27.4991i | −0.233993 | − | 0.972238i | ||||
\(801\) | −3.43265 | −0.121287 | ||||||||
\(802\) | 22.8878 | − | 4.85243i | 0.808198 | − | 0.171345i | ||||
\(803\) | −32.5781 | + | 32.5781i | −1.14966 | + | 1.14966i | ||||
\(804\) | 18.9713 | − | 8.42276i | 0.669066 | − | 0.297048i | ||||
\(805\) | 20.1863 | − | 8.09078i | 0.711474 | − | 0.285163i | ||||
\(806\) | −4.13878 | + | 6.36586i | −0.145782 | + | 0.224228i | ||||
\(807\) | −2.56859 | − | 2.56859i | −0.0904188 | − | 0.0904188i | ||||
\(808\) | −15.0079 | + | 10.8679i | −0.527977 | + | 0.382332i | ||||
\(809\) | − | 13.2474i | − | 0.465752i | −0.972506 | − | 0.232876i | \(-0.925186\pi\) | ||
0.972506 | − | 0.232876i | \(-0.0748137\pi\) | |||||||
\(810\) | −26.2825 | + | 17.6020i | −0.923472 | + | 0.618471i | ||||
\(811\) | − | 4.19848i | − | 0.147428i | −0.997279 | − | 0.0737142i | \(-0.976515\pi\) | ||
0.997279 | − | 0.0737142i | \(-0.0234853\pi\) | |||||||
\(812\) | −12.8850 | + | 33.4617i | −0.452174 | + | 1.17427i | ||||
\(813\) | 9.37561 | + | 9.37561i | 0.328817 | + | 0.328817i | ||||
\(814\) | 37.5608 | + | 24.4203i | 1.31651 | + | 0.855930i | ||||
\(815\) | −17.3634 | + | 40.5925i | −0.608215 | + | 1.42189i | ||||
\(816\) | 39.2026 | + | 35.4472i | 1.37237 | + | 1.24090i | ||||
\(817\) | −21.1270 | + | 21.1270i | −0.739139 | + | 0.739139i | ||||
\(818\) | 0.334600 | + | 1.57823i | 0.0116990 | + | 0.0551816i | ||||
\(819\) | −1.32728 | −0.0463788 | ||||||||
\(820\) | 28.8265 | − | 29.6235i | 1.00667 | − | 1.03450i | ||||
\(821\) | 34.5644 | 1.20631 | 0.603153 | − | 0.797626i | \(-0.293911\pi\) | ||||
0.603153 | + | 0.797626i | \(0.293911\pi\) | |||||||
\(822\) | 2.72114 | + | 12.8350i | 0.0949107 | + | 0.447673i | ||||
\(823\) | 33.9394 | − | 33.9394i | 1.18305 | − | 1.18305i | 0.204106 | − | 0.978949i | \(-0.434571\pi\) |
0.978949 | − | 0.204106i | \(-0.0654287\pi\) | |||||||
\(824\) | −3.51154 | + | 21.9477i | −0.122330 | + | 0.764583i | ||||
\(825\) | −37.1908 | − | 0.855436i | −1.29482 | − | 0.0297825i | ||||
\(826\) | 18.8275 | + | 12.2407i | 0.655092 | + | 0.425910i | ||||
\(827\) | −33.9719 | − | 33.9719i | −1.18132 | − | 1.18132i | −0.979403 | − | 0.201915i | \(-0.935283\pi\) |
−0.201915 | − | 0.979403i | \(-0.564717\pi\) | |||||||
\(828\) | 2.00937 | + | 0.773740i | 0.0698303 | + | 0.0268893i | ||||
\(829\) | − | 17.7964i | − | 0.618093i | −0.951047 | − | 0.309047i | \(-0.899990\pi\) | ||
0.951047 | − | 0.309047i | \(-0.100010\pi\) | |||||||
\(830\) | 4.56963 | − | 23.1019i | 0.158614 | − | 0.801880i | ||||
\(831\) | − | 9.99030i | − | 0.346560i | ||||||
\(832\) | −7.13943 | + | 3.60950i | −0.247515 | + | 0.125137i | ||||
\(833\) | 25.3481 | + | 25.3481i | 0.878260 | + | 0.878260i | ||||
\(834\) | 10.8722 | − | 16.7226i | 0.376474 | − | 0.579055i | ||||
\(835\) | 1.39448 | + | 0.596489i | 0.0482580 | + | 0.0206424i | ||||
\(836\) | −10.7978 | − | 24.3207i | −0.373448 | − | 0.841149i | ||||
\(837\) | −18.2729 | + | 18.2729i | −0.631604 | + | 0.631604i | ||||
\(838\) | 30.6013 | − | 6.48775i | 1.05710 | − | 0.224115i | ||||
\(839\) | −53.3406 | −1.84152 | −0.920762 | − | 0.390126i | \(-0.872431\pi\) | ||||
−0.920762 | + | 0.390126i | \(0.872431\pi\) | |||||||
\(840\) | 21.4946 | − | 34.0684i | 0.741636 | − | 1.17547i | ||||
\(841\) | 2.19283 | 0.0756149 | ||||||||
\(842\) | −8.97836 | + | 1.90349i | −0.309415 | + | 0.0655987i | ||||
\(843\) | 26.6092 | − | 26.6092i | 0.916470 | − | 0.916470i | ||||
\(844\) | −19.2349 | − | 43.3244i | −0.662093 | − | 1.49129i | ||||
\(845\) | −0.831896 | − | 2.07556i | −0.0286181 | − | 0.0714014i | ||||
\(846\) | 0.545429 | − | 0.838925i | 0.0187522 | − | 0.0288428i | ||||
\(847\) | −13.1273 | − | 13.1273i | −0.451059 | − | 0.451059i | ||||
\(848\) | −18.7946 | + | 0.945496i | −0.645410 | + | 0.0324685i | ||||
\(849\) | 17.8311i | 0.611962i | ||||||||
\(850\) | −9.38933 | − | 49.9192i | −0.322051 | − | 1.71221i | ||||
\(851\) | 21.9975i | 0.754064i | ||||||||
\(852\) | −29.7348 | − | 11.4499i | −1.01870 | − | 0.392266i | ||||
\(853\) | 24.9385 | + | 24.9385i | 0.853877 | + | 0.853877i | 0.990608 | − | 0.136731i | \(-0.0436595\pi\) |
−0.136731 | + | 0.990608i | \(0.543660\pi\) | |||||||
\(854\) | 26.2932 | + | 17.0946i | 0.899735 | + | 0.584965i | ||||
\(855\) | −1.04886 | − | 2.61689i | −0.0358704 | − | 0.0894958i | ||||
\(856\) | −5.25058 | − | 0.840072i | −0.179461 | − | 0.0287131i | ||||
\(857\) | 34.0706 | − | 34.0706i | 1.16383 | − | 1.16383i | 0.180201 | − | 0.983630i | \(-0.442325\pi\) |
0.983630 | − | 0.180201i | \(-0.0576747\pi\) | |||||||
\(858\) | 2.18224 | + | 10.2931i | 0.0745004 | + | 0.351402i | ||||
\(859\) | −18.3484 | −0.626039 | −0.313019 | − | 0.949747i | \(-0.601340\pi\) | ||||
−0.313019 | + | 0.949747i | \(0.601340\pi\) | |||||||
\(860\) | 0.553807 | + | 40.6184i | 0.0188846 | + | 1.38507i | ||||
\(861\) | 58.8683 | 2.00622 | ||||||||
\(862\) | 0.942442 | + | 4.44529i | 0.0320997 | + | 0.151407i | ||||
\(863\) | −12.3725 | + | 12.3725i | −0.421166 | + | 0.421166i | −0.885605 | − | 0.464439i | \(-0.846256\pi\) |
0.464439 | + | 0.885605i | \(0.346256\pi\) | |||||||
\(864\) | −26.3176 | + | 6.97793i | −0.895341 | + | 0.237394i | ||||
\(865\) | −22.8338 | − | 9.76715i | −0.776372 | − | 0.332093i | ||||
\(866\) | −13.9067 | − | 9.04150i | −0.472570 | − | 0.307243i | ||||
\(867\) | 45.0042 | + | 45.0042i | 1.52842 | + | 1.52842i | ||||
\(868\) | 13.3616 | − | 34.6993i | 0.453521 | − | 1.17777i | ||||
\(869\) | 5.80341i | 0.196867i | ||||||||
\(870\) | 29.5435 | + | 5.84379i | 1.00162 | + | 0.198123i | ||||
\(871\) | 5.64240i | 0.191185i | ||||||||
\(872\) | 23.1195 | + | 31.9266i | 0.782924 | + | 1.08117i | ||||
\(873\) | −0.333249 | − | 0.333249i | −0.0112788 | − | 0.0112788i | ||||
\(874\) | 7.12171 | − | 10.9539i | 0.240895 | − | 0.370521i | ||||
\(875\) | −36.2570 | + | 13.5729i | −1.22571 | + | 0.458848i | ||||
\(876\) | −38.2969 | + | 17.0028i | −1.29393 | + | 0.574472i | ||||
\(877\) | 4.05376 | − | 4.05376i | 0.136886 | − | 0.136886i | −0.635344 | − | 0.772230i | \(-0.719142\pi\) |
0.772230 | + | 0.635344i | \(0.219142\pi\) | |||||||
\(878\) | 3.16936 | − | 0.671933i | 0.106961 | − | 0.0226766i | ||||
\(879\) | 2.28228 | 0.0769793 | ||||||||
\(880\) | −33.9364 | − | 12.5392i | −1.14399 | − | 0.422697i | ||||
\(881\) | −18.6698 | −0.629002 | −0.314501 | − | 0.949257i | \(-0.601837\pi\) | ||||
−0.314501 | + | 0.949257i | \(0.601837\pi\) | |||||||
\(882\) | 2.64632 | − | 0.561044i | 0.0891063 | − | 0.0188913i | ||||
\(883\) | −30.3858 | + | 30.3858i | −1.02256 | + | 1.02256i | −0.0228255 | + | 0.999739i | \(0.507266\pi\) |
−0.999739 | + | 0.0228255i | \(0.992734\pi\) | |||||||
\(884\) | −13.1309 | + | 5.82977i | −0.441640 | + | 0.196077i | ||||
\(885\) | 7.41783 | − | 17.3415i | 0.249348 | − | 0.582928i | ||||
\(886\) | 19.7299 | − | 30.3466i | 0.662840 | − | 1.01951i | ||||
\(887\) | 23.9673 | + | 23.9673i | 0.804743 | + | 0.804743i | 0.983833 | − | 0.179090i | \(-0.0573152\pi\) |
−0.179090 | + | 0.983833i | \(0.557315\pi\) | |||||||
\(888\) | 23.8979 | + | 33.0016i | 0.801962 | + | 1.10746i | ||||
\(889\) | − | 25.3822i | − | 0.851291i | ||||||
\(890\) | 15.7585 | + | 23.5298i | 0.528226 | + | 0.788722i | ||||
\(891\) | 40.4613i | 1.35550i | ||||||||
\(892\) | −20.2622 | + | 52.6199i | −0.678427 | + | 1.76184i | ||||
\(893\) | −4.29346 | − | 4.29346i | −0.143675 | − | 0.143675i | ||||
\(894\) | −14.2918 | − | 9.29183i | −0.477988 | − | 0.310765i | ||||
\(895\) | 17.0723 | − | 6.84265i | 0.570662 | − | 0.228725i | ||||
\(896\) | 30.5357 | − | 24.5425i | 1.02013 | − | 0.819906i | ||||
\(897\) | −3.65310 | + | 3.65310i | −0.121974 | + | 0.121974i | ||||
\(898\) | 8.49916 | + | 40.0887i | 0.283621 | + | 1.33778i | ||||
\(899\) | 27.7987 | 0.927138 | ||||||||
\(900\) | −3.54442 | − | 1.45929i | −0.118147 | − | 0.0486429i | ||||
\(901\) | −33.7952 | −1.12588 | ||||||||
\(902\) | −10.9655 | − | 51.7217i | −0.365110 | − | 1.72214i | ||||
\(903\) | −40.9090 | + | 40.9090i | −1.36137 | + | 1.36137i | ||||
\(904\) | −17.3022 | − | 2.76828i | −0.575463 | − | 0.0920717i | ||||
\(905\) | 25.1749 | − | 10.0902i | 0.836840 | − | 0.335410i | ||||
\(906\) | −9.62922 | − | 6.26046i | −0.319909 | − | 0.207990i | ||||
\(907\) | 8.59846 | + | 8.59846i | 0.285507 | + | 0.285507i | 0.835301 | − | 0.549793i | \(-0.185294\pi\) |
−0.549793 | + | 0.835301i | \(0.685294\pi\) | |||||||
\(908\) | −54.8234 | − | 21.1107i | −1.81938 | − | 0.700582i | ||||
\(909\) | 2.51113i | 0.0832890i | ||||||||
\(910\) | 6.09323 | + | 9.09812i | 0.201989 | + | 0.301600i | ||||
\(911\) | − | 2.86336i | − | 0.0948674i | −0.998874 | − | 0.0474337i | \(-0.984896\pi\) | ||
0.998874 | − | 0.0474337i | \(-0.0151043\pi\) | |||||||
\(912\) | −1.21594 | − | 24.1705i | −0.0402638 | − | 0.800366i | ||||
\(913\) | −21.2999 | − | 21.2999i | −0.704923 | − | 0.704923i | ||||
\(914\) | −20.0086 | + | 30.7752i | −0.661825 | + | 1.01795i | ||||
\(915\) | 10.3593 | − | 24.2180i | 0.342466 | − | 0.800623i | ||||
\(916\) | 13.8749 | + | 31.2516i | 0.458439 | + | 1.03258i | ||||
\(917\) | 11.0052 | − | 11.0052i | 0.363424 | − | 0.363424i | ||||
\(918\) | −47.8325 | + | 10.1409i | −1.57871 | + | 0.334700i | ||||
\(919\) | 43.9157 | 1.44865 | 0.724323 | − | 0.689461i | \(-0.242153\pi\) | ||||
0.724323 | + | 0.689461i | \(0.242153\pi\) | |||||||
\(920\) | −3.92077 | − | 17.3257i | −0.129264 | − | 0.571212i | ||||
\(921\) | −53.5538 | −1.76466 | ||||||||
\(922\) | 33.1138 | − | 7.02043i | 1.09054 | − | 0.231205i | ||||
\(923\) | 6.12453 | − | 6.12453i | 0.201591 | − | 0.201591i | ||||
\(924\) | −20.9082 | − | 47.0932i | −0.687828 | − | 1.54925i | ||||
\(925\) | 0.900480 | − | 39.1491i | 0.0296076 | − | 1.28722i | ||||
\(926\) | 2.55337 | − | 3.92733i | 0.0839088 | − | 0.129060i | ||||
\(927\) | 2.12992 | + | 2.12992i | 0.0699558 | + | 0.0699558i | ||||
\(928\) | 25.3263 | + | 14.7108i | 0.831378 | + | 0.482904i | ||||
\(929\) | 16.0663i | 0.527118i | 0.964643 | + | 0.263559i | \(0.0848964\pi\) | ||||
−0.964643 | + | 0.263559i | \(0.915104\pi\) | |||||||
\(930\) | −30.6362 | − | 6.05994i | −1.00460 | − | 0.198713i | ||||
\(931\) | − | 16.4147i | − | 0.537970i | ||||||
\(932\) | −28.0710 | − | 10.8092i | −0.919496 | − | 0.354067i | ||||
\(933\) | −12.5343 | − | 12.5343i | −0.410354 | − | 0.410354i | ||||
\(934\) | 35.8428 | + | 23.3033i | 1.17281 | + | 0.762507i | ||||
\(935\) | −59.7365 | − | 25.5523i | −1.95359 | − | 0.835649i | ||||
\(936\) | −0.171282 | + | 1.07054i | −0.00559853 | + | 0.0349917i | ||||
\(937\) | 5.64650 | − | 5.64650i | 0.184463 | − | 0.184463i | −0.608834 | − | 0.793297i | \(-0.708363\pi\) |
0.793297 | + | 0.608834i | \(0.208363\pi\) | |||||||
\(938\) | −5.73062 | − | 27.0301i | −0.187111 | − | 0.882563i | ||||
\(939\) | −23.4107 | −0.763980 | ||||||||
\(940\) | −8.25454 | + | 0.112546i | −0.269233 | + | 0.00367083i | ||||
\(941\) | 53.0796 | 1.73034 | 0.865172 | − | 0.501475i | \(-0.167209\pi\) | ||||
0.865172 | + | 0.501475i | \(0.167209\pi\) | |||||||
\(942\) | 4.04024 | + | 19.0569i | 0.131638 | + | 0.620909i | ||||
\(943\) | 18.3563 | − | 18.3563i | 0.597765 | − | 0.597765i | ||||
\(944\) | 12.3026 | − | 13.6060i | 0.400416 | − | 0.442837i | ||||
\(945\) | 13.8646 | + | 34.5919i | 0.451016 | + | 1.12527i | ||||
\(946\) | 43.5628 | + | 28.3225i | 1.41635 | + | 0.920843i | ||||
\(947\) | −27.3732 | − | 27.3732i | −0.889508 | − | 0.889508i | 0.104967 | − | 0.994476i | \(-0.466526\pi\) |
−0.994476 | + | 0.104967i | \(0.966526\pi\) | |||||||
\(948\) | −1.89665 | + | 4.92551i | −0.0616003 | + | 0.159973i | ||||
\(949\) | − | 11.3902i | − | 0.369741i | ||||||
\(950\) | −13.1230 | + | 19.2032i | −0.425766 | + | 0.623035i | ||||
\(951\) | − | 52.0866i | − | 1.68902i | ||||||
\(952\) | 56.9830 | − | 41.2639i | 1.84683 | − | 1.33737i | ||||
\(953\) | 32.6767 | + | 32.6767i | 1.05850 | + | 1.05850i | 0.998179 | + | 0.0603242i | \(0.0192135\pi\) |
0.0603242 | + | 0.998179i | \(0.480787\pi\) | |||||||
\(954\) | −1.39009 | + | 2.13810i | −0.0450058 | + | 0.0692235i | ||||
\(955\) | 6.31359 | + | 15.7523i | 0.204303 | + | 0.509731i | ||||
\(956\) | −19.0638 | + | 8.46381i | −0.616566 | + | 0.273739i | ||||
\(957\) | 27.2390 | − | 27.2390i | 0.880511 | − | 0.880511i | ||||
\(958\) | −43.7325 | + | 9.27169i | −1.41293 | + | 0.299555i | ||||
\(959\) | 17.4652 | 0.563981 | ||||||||
\(960\) | −24.7047 | − | 21.7333i | −0.797340 | − | 0.701440i | ||||
\(961\) | 2.17312 | 0.0701006 | ||||||||
\(962\) | −10.8351 | + | 2.29715i | −0.349339 | + | 0.0740631i | ||||
\(963\) | −0.509545 | + | 0.509545i | −0.0164199 | + | 0.0164199i | ||||
\(964\) | −1.43888 | + | 0.638825i | −0.0463432 | + | 0.0205752i | ||||
\(965\) | −5.44353 | − | 2.32847i | −0.175233 | − | 0.0749561i | ||||
\(966\) | 13.7901 | − | 21.2105i | 0.443688 | − | 0.682437i | ||||
\(967\) | 8.08950 | + | 8.08950i | 0.260141 | + | 0.260141i | 0.825111 | − | 0.564970i | \(-0.191112\pi\) |
−0.564970 | + | 0.825111i | \(0.691112\pi\) | |||||||
\(968\) | −12.2821 | + | 8.89401i | −0.394762 | + | 0.285864i | ||||
\(969\) | − | 43.4617i | − | 1.39619i | ||||||
\(970\) | −0.754459 | + | 3.81420i | −0.0242242 | + | 0.122466i | ||||
\(971\) | 20.1023i | 0.645115i | 0.946550 | + | 0.322558i | \(0.104543\pi\) | ||||
−0.946550 | + | 0.322558i | \(0.895457\pi\) | |||||||
\(972\) | −2.84604 | + | 7.39102i | −0.0912867 | + | 0.237067i | ||||
\(973\) | −18.7747 | − | 18.7747i | −0.601891 | − | 0.601891i | ||||
\(974\) | 26.9927 | + | 17.5493i | 0.864900 | + | 0.562317i | ||||
\(975\) | 6.65100 | − | 6.35192i | 0.213003 | − | 0.203424i | ||||
\(976\) | 17.1810 | − | 19.0012i | 0.549951 | − | 0.608215i | ||||
\(977\) | 1.38681 | − | 1.38681i | 0.0443679 | − | 0.0443679i | −0.684575 | − | 0.728943i | \(-0.740012\pi\) |
0.728943 | + | 0.684575i | \(0.240012\pi\) | |||||||
\(978\) | 10.6522 | + | 50.2442i | 0.340621 | + | 1.60663i | ||||
\(979\) | 36.2237 | 1.15771 | ||||||||
\(980\) | −15.9945 | − | 15.5642i | −0.510924 | − | 0.497180i | ||||
\(981\) | 5.34197 | 0.170556 | ||||||||
\(982\) | −1.30385 | − | 6.14996i | −0.0416075 | − | 0.196253i | ||||
\(983\) | −29.9544 | + | 29.9544i | −0.955397 | + | 0.955397i | −0.999047 | − | 0.0436496i | \(-0.986101\pi\) |
0.0436496 | + | 0.999047i | \(0.486101\pi\) | |||||||
\(984\) | 7.59680 | − | 47.4812i | 0.242177 | − | 1.51365i | ||||
\(985\) | −2.18253 | + | 5.10235i | −0.0695412 | + | 0.162574i | ||||
\(986\) | 44.0977 | + | 28.6702i | 1.40436 | + | 0.913046i | ||||
\(987\) | −8.31360 | − | 8.31360i | −0.264625 | − | 0.264625i | ||||
\(988\) | 6.13919 | + | 2.36400i | 0.195314 | + | 0.0752088i | ||||
\(989\) | 25.5125i | 0.811252i | ||||||||
\(990\) | −4.07373 | + | 2.72827i | −0.129472 | + | 0.0867103i | ||||
\(991\) | 5.41262i | 0.171937i | 0.996298 | + | 0.0859687i | \(0.0273985\pi\) | ||||
−0.996298 | + | 0.0859687i | \(0.972601\pi\) | |||||||
\(992\) | −26.2631 | − | 15.2549i | −0.833854 | − | 0.484342i | ||||
\(993\) | −7.17894 | − | 7.17894i | −0.227817 | − | 0.227817i | ||||
\(994\) | −23.1194 | + | 35.5600i | −0.733304 | + | 1.12789i | ||||
\(995\) | 35.9760 | − | 14.4194i | 1.14052 | − | 0.457125i | ||||
\(996\) | −11.1166 | − | 25.0389i | −0.352244 | − | 0.793388i | ||||
\(997\) | −10.8817 | + | 10.8817i | −0.344626 | + | 0.344626i | −0.858103 | − | 0.513477i | \(-0.828357\pi\) |
0.513477 | + | 0.858103i | \(0.328357\pi\) | |||||||
\(998\) | 1.52968 | − | 0.324307i | 0.0484213 | − | 0.0102658i | ||||
\(999\) | −37.6956 | −1.19264 |
(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 | 260.2.o.a.183.35 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.21 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.21 | ✓ | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.35 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.21 | ✓ | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.27.35 | yes | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.183.21 | yes | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.183.35 | yes | 72 | 1.1 | even | 1 | trivial |