Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
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([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (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: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 473.21 | ||
Character | \(\chi\) | \(=\) | 546.473 |
Dual form | 546.2.bv.a.359.21 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | ||||
\(3\) | −1.51923 | + | 0.831834i | −0.877126 | + | 0.480259i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −0.533030 | + | 1.98929i | −0.238378 | + | 0.889640i | 0.738219 | + | 0.674561i | \(0.235667\pi\) |
−0.976597 | + | 0.215078i | \(0.930999\pi\) | |||||||
\(6\) | 0.410285 | + | 1.68276i | 0.167498 | + | 0.686982i | ||||
\(7\) | 1.42754 | − | 2.22758i | 0.539560 | − | 0.841947i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 1.61610 | − | 2.52749i | 0.538702 | − | 0.842497i | ||||
\(10\) | 1.78355 | + | 1.02973i | 0.564009 | + | 0.325631i | ||||
\(11\) | 0.922976 | + | 3.44459i | 0.278288 | + | 1.03858i | 0.953606 | + | 0.301058i | \(0.0973397\pi\) |
−0.675318 | + | 0.737527i | \(0.735994\pi\) | |||||||
\(12\) | 1.73161 | + | 0.0392246i | 0.499872 | + | 0.0113232i | ||||
\(13\) | −3.26173 | − | 1.53659i | −0.904642 | − | 0.426172i | ||||
\(14\) | −1.78221 | − | 1.95544i | −0.476315 | − | 0.522613i | ||||
\(15\) | −0.844969 | − | 3.46558i | −0.218170 | − | 0.894810i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −3.54630 | + | 6.14237i | −0.860104 | + | 1.48974i | 0.0117245 | + | 0.999931i | \(0.496268\pi\) |
−0.871828 | + | 0.489812i | \(0.837065\pi\) | |||||||
\(18\) | −2.02309 | − | 2.21520i | −0.476847 | − | 0.522128i | ||||
\(19\) | −5.57022 | − | 1.49254i | −1.27790 | − | 0.342411i | −0.444845 | − | 0.895608i | \(-0.646741\pi\) |
−0.833051 | + | 0.553197i | \(0.813408\pi\) | |||||||
\(20\) | 1.45626 | − | 1.45626i | 0.325631 | − | 0.325631i | ||||
\(21\) | −0.315779 | + | 4.57168i | −0.0689087 | + | 0.997623i | ||||
\(22\) | 3.56611 | 0.760297 | ||||||||
\(23\) | 3.12969 | + | 5.42078i | 0.652585 | + | 1.13031i | 0.982493 | + | 0.186298i | \(0.0596490\pi\) |
−0.329908 | + | 0.944013i | \(0.607018\pi\) | |||||||
\(24\) | 0.486061 | − | 1.66245i | 0.0992167 | − | 0.339346i | ||||
\(25\) | 0.656955 | + | 0.379293i | 0.131391 | + | 0.0758587i | ||||
\(26\) | −2.32843 | + | 2.75290i | −0.456642 | + | 0.539887i | ||||
\(27\) | −0.352780 | + | 5.18416i | −0.0678925 | + | 0.997693i | ||||
\(28\) | −2.35008 | + | 1.21537i | −0.444123 | + | 0.229684i | ||||
\(29\) | 0.340291i | 0.0631904i | 0.999501 | + | 0.0315952i | \(0.0100587\pi\) | ||||
−0.999501 | + | 0.0315952i | \(0.989941\pi\) | |||||||
\(30\) | −3.56619 | − | 0.0807818i | −0.651094 | − | 0.0147487i | ||||
\(31\) | 2.22680 | + | 8.31053i | 0.399945 | + | 1.49261i | 0.813192 | + | 0.581996i | \(0.197728\pi\) |
−0.413247 | + | 0.910619i | \(0.635605\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | −4.26754 | − | 4.46536i | −0.742884 | − | 0.777319i | ||||
\(34\) | 5.01522 | + | 5.01522i | 0.860104 | + | 0.860104i | ||||
\(35\) | 3.67040 | + | 4.02717i | 0.620410 | + | 0.680715i | ||||
\(36\) | −2.66333 | + | 1.38082i | −0.443889 | + | 0.230136i | ||||
\(37\) | −2.01230 | + | 7.50999i | −0.330819 | + | 1.23463i | 0.577512 | + | 0.816382i | \(0.304024\pi\) |
−0.908331 | + | 0.418252i | \(0.862643\pi\) | |||||||
\(38\) | −2.88336 | + | 4.99412i | −0.467742 | + | 0.810153i | ||||
\(39\) | 6.23350 | − | 0.378798i | 0.998159 | − | 0.0606562i | ||||
\(40\) | −1.02973 | − | 1.78355i | −0.162815 | − | 0.282004i | ||||
\(41\) | −5.27007 | − | 5.27007i | −0.823047 | − | 0.823047i | 0.163497 | − | 0.986544i | \(-0.447723\pi\) |
−0.986544 | + | 0.163497i | \(0.947723\pi\) | |||||||
\(42\) | 4.33418 | + | 1.48826i | 0.668778 | + | 0.229643i | ||||
\(43\) | 0.428508i | 0.0653469i | 0.999466 | + | 0.0326735i | \(0.0104021\pi\) | ||||
−0.999466 | + | 0.0326735i | \(0.989598\pi\) | |||||||
\(44\) | 0.922976 | − | 3.44459i | 0.139144 | − | 0.519292i | ||||
\(45\) | 4.16649 | + | 4.56214i | 0.621104 | + | 0.680083i | ||||
\(46\) | 6.04610 | − | 1.62005i | 0.891448 | − | 0.238863i | ||||
\(47\) | −1.50508 | − | 0.403284i | −0.219538 | − | 0.0588250i | 0.147373 | − | 0.989081i | \(-0.452918\pi\) |
−0.366911 | + | 0.930256i | \(0.619585\pi\) | |||||||
\(48\) | −1.48000 | − | 0.899773i | −0.213620 | − | 0.129871i | ||||
\(49\) | −2.92426 | − | 6.35993i | −0.417751 | − | 0.908562i | ||||
\(50\) | 0.536402 | − | 0.536402i | 0.0758587 | − | 0.0758587i | ||||
\(51\) | 0.278204 | − | 12.2816i | 0.0389564 | − | 1.71977i | ||||
\(52\) | 2.05645 | + | 2.96159i | 0.285179 | + | 0.410698i | ||||
\(53\) | −5.74215 | − | 3.31523i | −0.788745 | − | 0.455382i | 0.0507753 | − | 0.998710i | \(-0.483831\pi\) |
−0.839521 | + | 0.543328i | \(0.817164\pi\) | |||||||
\(54\) | 4.91621 | + | 1.68252i | 0.669012 | + | 0.228962i | ||||
\(55\) | −7.34429 | −0.990303 | ||||||||
\(56\) | 0.565716 | + | 2.58456i | 0.0755970 | + | 0.345377i | ||||
\(57\) | 9.70397 | − | 2.36599i | 1.28532 | − | 0.313384i | ||||
\(58\) | 0.328696 | + | 0.0880738i | 0.0431599 | + | 0.0115647i | ||||
\(59\) | −0.522265 | − | 1.94912i | −0.0679931 | − | 0.253754i | 0.923560 | − | 0.383453i | \(-0.125265\pi\) |
−0.991553 | + | 0.129700i | \(0.958599\pi\) | |||||||
\(60\) | −1.00103 | + | 3.42377i | −0.129232 | + | 0.442006i | ||||
\(61\) | −0.887540 | − | 1.53726i | −0.113638 | − | 0.196827i | 0.803597 | − | 0.595174i | \(-0.202917\pi\) |
−0.917234 | + | 0.398348i | \(0.869584\pi\) | |||||||
\(62\) | 8.60369 | 1.09267 | ||||||||
\(63\) | −3.32314 | − | 7.20810i | −0.418676 | − | 0.908136i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 4.79532 | − | 5.66950i | 0.594786 | − | 0.703215i | ||||
\(66\) | −5.41773 | + | 2.96641i | −0.666876 | + | 0.365140i | ||||
\(67\) | 3.14344 | + | 11.7315i | 0.384032 | + | 1.43323i | 0.839688 | + | 0.543070i | \(0.182738\pi\) |
−0.455656 | + | 0.890156i | \(0.650595\pi\) | |||||||
\(68\) | 6.14237 | − | 3.54630i | 0.744872 | − | 0.430052i | ||||
\(69\) | −9.26390 | − | 5.63202i | −1.11524 | − | 0.678015i | ||||
\(70\) | 4.83991 | − | 2.50302i | 0.578480 | − | 0.299169i | ||||
\(71\) | 1.49159 | + | 1.49159i | 0.177020 | + | 0.177020i | 0.790055 | − | 0.613036i | \(-0.210052\pi\) |
−0.613036 | + | 0.790055i | \(0.710052\pi\) | |||||||
\(72\) | 0.644446 | + | 2.92996i | 0.0759487 | + | 0.345300i | ||||
\(73\) | 4.28734 | − | 1.14879i | 0.501795 | − | 0.134455i | 0.000961865 | − | 1.00000i | \(-0.499694\pi\) |
0.500833 | + | 0.865544i | \(0.333027\pi\) | |||||||
\(74\) | 6.73327 | + | 3.88746i | 0.782727 | + | 0.451908i | ||||
\(75\) | −1.31357 | − | 0.0297552i | −0.151678 | − | 0.00343584i | ||||
\(76\) | 4.07768 | + | 4.07768i | 0.467742 | + | 0.467742i | ||||
\(77\) | 8.99071 | + | 2.86129i | 1.02459 | + | 0.326074i | ||||
\(78\) | 1.24746 | − | 6.11914i | 0.141247 | − | 0.692856i | ||||
\(79\) | −4.48152 | − | 7.76223i | −0.504211 | − | 0.873319i | −0.999988 | − | 0.00486899i | \(-0.998450\pi\) |
0.495777 | − | 0.868450i | \(-0.334883\pi\) | |||||||
\(80\) | −1.98929 | + | 0.533030i | −0.222410 | + | 0.0595945i | ||||
\(81\) | −3.77641 | − | 8.16938i | −0.419601 | − | 0.907709i | ||||
\(82\) | −6.45449 | + | 3.72650i | −0.712779 | + | 0.411523i | ||||
\(83\) | 8.13092 | + | 8.13092i | 0.892484 | + | 0.892484i | 0.994756 | − | 0.102272i | \(-0.0326113\pi\) |
−0.102272 | + | 0.994756i | \(0.532611\pi\) | |||||||
\(84\) | 2.55931 | − | 3.80130i | 0.279244 | − | 0.414756i | ||||
\(85\) | −10.3287 | − | 10.3287i | −1.12030 | − | 1.12030i | ||||
\(86\) | 0.413907 | + | 0.110906i | 0.0446328 | + | 0.0119593i | ||||
\(87\) | −0.283066 | − | 0.516979i | −0.0303478 | − | 0.0554260i | ||||
\(88\) | −3.08834 | − | 1.78305i | −0.329218 | − | 0.190074i | ||||
\(89\) | −2.24658 | − | 0.601969i | −0.238137 | − | 0.0638085i | 0.137777 | − | 0.990463i | \(-0.456004\pi\) |
−0.375913 | + | 0.926655i | \(0.622671\pi\) | |||||||
\(90\) | 5.48505 | − | 2.84375i | 0.578175 | − | 0.299758i | ||||
\(91\) | −8.07913 | + | 5.07225i | −0.846923 | + | 0.531716i | ||||
\(92\) | − | 6.25938i | − | 0.652585i | ||||||
\(93\) | −10.2960 | − | 10.7733i | −1.06764 | − | 1.11713i | ||||
\(94\) | −0.779084 | + | 1.34941i | −0.0803564 | + | 0.139181i | ||||
\(95\) | 5.93818 | − | 10.2852i | 0.609245 | − | 1.05524i | ||||
\(96\) | −1.25217 | + | 1.19669i | −0.127799 | + | 0.122137i | ||||
\(97\) | 11.9267 | − | 11.9267i | 1.21097 | − | 1.21097i | 0.240261 | − | 0.970708i | \(-0.422767\pi\) |
0.970708 | − | 0.240261i | \(-0.0772332\pi\) | |||||||
\(98\) | −6.90007 | + | 1.17854i | −0.697013 | + | 0.119051i | ||||
\(99\) | 10.1978 | + | 3.23401i | 1.02492 | + | 0.325031i | ||||
\(100\) | −0.379293 | − | 0.656955i | −0.0379293 | − | 0.0656955i | ||||
\(101\) | −9.58488 | + | 16.6015i | −0.953731 | + | 1.65191i | −0.216484 | + | 0.976286i | \(0.569459\pi\) |
−0.737246 | + | 0.675624i | \(0.763874\pi\) | |||||||
\(102\) | −11.7911 | − | 3.44743i | −1.16749 | − | 0.341347i | ||||
\(103\) | 6.96843 | − | 4.02323i | 0.686620 | − | 0.396420i | −0.115724 | − | 0.993281i | \(-0.536919\pi\) |
0.802345 | + | 0.596861i | \(0.203586\pi\) | |||||||
\(104\) | 3.39292 | − | 1.21986i | 0.332704 | − | 0.119618i | ||||
\(105\) | −8.92610 | − | 3.06502i | −0.871098 | − | 0.299115i | ||||
\(106\) | −4.68845 | + | 4.68845i | −0.455382 | + | 0.455382i | ||||
\(107\) | −0.729345 | + | 0.421088i | −0.0705085 | + | 0.0407081i | −0.534840 | − | 0.844954i | \(-0.679628\pi\) |
0.464331 | + | 0.885662i | \(0.346295\pi\) | |||||||
\(108\) | 2.89760 | − | 4.31323i | 0.278821 | − | 0.415040i | ||||
\(109\) | −3.43114 | − | 12.8052i | −0.328643 | − | 1.22651i | −0.910598 | − | 0.413293i | \(-0.864379\pi\) |
0.581955 | − | 0.813221i | \(-0.302288\pi\) | |||||||
\(110\) | −1.90084 | + | 7.09404i | −0.181238 | + | 0.676390i | ||||
\(111\) | −3.18993 | − | 13.0833i | −0.302775 | − | 1.24181i | ||||
\(112\) | 2.64291 | + | 0.122494i | 0.249732 | + | 0.0115746i | ||||
\(113\) | − | 2.28160i | − | 0.214635i | −0.994225 | − | 0.107317i | \(-0.965774\pi\) | ||
0.994225 | − | 0.107317i | \(-0.0342261\pi\) | |||||||
\(114\) | 0.226197 | − | 9.98568i | 0.0211853 | − | 0.935245i | ||||
\(115\) | −12.4517 | + | 3.33644i | −1.16113 | + | 0.311124i | ||||
\(116\) | 0.170145 | − | 0.294701i | 0.0157976 | − | 0.0273623i | ||||
\(117\) | −9.15501 | + | 5.76072i | −0.846381 | + | 0.532578i | ||||
\(118\) | −2.01788 | −0.185761 | ||||||||
\(119\) | 8.62016 | + | 16.6682i | 0.790208 | + | 1.52797i | ||||
\(120\) | 3.04802 | + | 1.85305i | 0.278245 | + | 0.169160i | ||||
\(121\) | −1.48707 | + | 0.858559i | −0.135188 | + | 0.0780508i | ||||
\(122\) | −1.71460 | + | 0.459425i | −0.155232 | + | 0.0415943i | ||||
\(123\) | 12.3903 | + | 3.62261i | 1.11719 | + | 0.326640i | ||||
\(124\) | 2.22680 | − | 8.31053i | 0.199972 | − | 0.746307i | ||||
\(125\) | −8.38603 | + | 8.38603i | −0.750069 | + | 0.750069i | ||||
\(126\) | −7.82258 | + | 1.34431i | −0.696891 | + | 0.119761i | ||||
\(127\) | 7.84238i | 0.695899i | 0.937513 | + | 0.347949i | \(0.113122\pi\) | ||||
−0.937513 | + | 0.347949i | \(0.886878\pi\) | |||||||
\(128\) | −0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | −0.356448 | − | 0.651002i | −0.0313835 | − | 0.0573175i | ||||
\(130\) | −4.23520 | − | 6.09930i | −0.371451 | − | 0.534944i | ||||
\(131\) | 11.9026 | − | 6.87197i | 1.03994 | − | 0.600407i | 0.120120 | − | 0.992759i | \(-0.461672\pi\) |
0.919815 | + | 0.392352i | \(0.128339\pi\) | |||||||
\(132\) | 1.46312 | + | 6.00089i | 0.127348 | + | 0.522310i | ||||
\(133\) | −11.2765 | + | 10.2775i | −0.977793 | + | 0.891170i | ||||
\(134\) | 12.1453 | 1.04919 | ||||||||
\(135\) | −10.1248 | − | 3.46510i | −0.871403 | − | 0.298228i | ||||
\(136\) | −1.83570 | − | 6.85092i | −0.157410 | − | 0.587462i | ||||
\(137\) | −3.02154 | − | 11.2765i | −0.258147 | − | 0.963419i | −0.966312 | − | 0.257372i | \(-0.917143\pi\) |
0.708165 | − | 0.706047i | \(-0.249523\pi\) | |||||||
\(138\) | −7.83779 | + | 7.49057i | −0.667197 | + | 0.637639i | ||||
\(139\) | 21.4052 | 1.81557 | 0.907784 | − | 0.419437i | \(-0.137773\pi\) | ||||
0.907784 | + | 0.419437i | \(0.137773\pi\) | |||||||
\(140\) | −1.16507 | − | 5.32283i | −0.0984668 | − | 0.449861i | ||||
\(141\) | 2.62202 | − | 0.639293i | 0.220814 | − | 0.0538382i | ||||
\(142\) | 1.82682 | − | 1.05472i | 0.153303 | − | 0.0885098i | ||||
\(143\) | 2.28241 | − | 12.6536i | 0.190865 | − | 1.05815i | ||||
\(144\) | 2.99692 | + | 0.135843i | 0.249744 | + | 0.0113203i | ||||
\(145\) | −0.676939 | − | 0.181385i | −0.0562167 | − | 0.0150632i | ||||
\(146\) | − | 4.43858i | − | 0.367339i | ||||||
\(147\) | 9.73302 | + | 7.22969i | 0.802766 | + | 0.596294i | ||||
\(148\) | 5.49769 | − | 5.49769i | 0.451908 | − | 0.451908i | ||||
\(149\) | 2.24892 | − | 8.39308i | 0.184239 | − | 0.687588i | −0.810554 | − | 0.585665i | \(-0.800834\pi\) |
0.994792 | − | 0.101924i | \(-0.0324997\pi\) | |||||||
\(150\) | −0.368719 | + | 1.26111i | −0.0301058 | + | 0.102970i | ||||
\(151\) | −4.42576 | + | 1.18588i | −0.360163 | + | 0.0965055i | −0.434363 | − | 0.900738i | \(-0.643026\pi\) |
0.0741996 | + | 0.997243i | \(0.476360\pi\) | |||||||
\(152\) | 4.99412 | − | 2.88336i | 0.405077 | − | 0.233871i | ||||
\(153\) | 9.79358 | + | 18.8899i | 0.791764 | + | 1.52716i | ||||
\(154\) | 5.09076 | − | 7.94380i | 0.410225 | − | 0.640130i | ||||
\(155\) | −17.7190 | −1.42323 | ||||||||
\(156\) | −5.58777 | − | 2.78870i | −0.447379 | − | 0.223275i | ||||
\(157\) | −0.998255 | + | 1.72903i | −0.0796694 | + | 0.137992i | −0.903107 | − | 0.429415i | \(-0.858720\pi\) |
0.823438 | + | 0.567406i | \(0.192053\pi\) | |||||||
\(158\) | −8.65764 | + | 2.31981i | −0.688765 | + | 0.184554i | ||||
\(159\) | 11.4814 | + | 0.260077i | 0.910531 | + | 0.0206255i | ||||
\(160\) | 2.05947i | 0.162815i | ||||||||
\(161\) | 16.5430 | + | 0.766739i | 1.30377 | + | 0.0604275i | ||||
\(162\) | −8.86842 | + | 1.53334i | −0.696769 | + | 0.120471i | ||||
\(163\) | −4.37826 | + | 16.3399i | −0.342932 | + | 1.27984i | 0.552078 | + | 0.833792i | \(0.313835\pi\) |
−0.895010 | + | 0.446046i | \(0.852832\pi\) | |||||||
\(164\) | 1.92898 | + | 7.19905i | 0.150628 | + | 0.562151i | ||||
\(165\) | 11.1576 | − | 6.10923i | 0.868621 | − | 0.475603i | ||||
\(166\) | 9.95830 | − | 5.74943i | 0.772914 | − | 0.446242i | ||||
\(167\) | 5.20220 | − | 5.20220i | 0.402558 | − | 0.402558i | −0.476575 | − | 0.879134i | \(-0.658122\pi\) |
0.879134 | + | 0.476575i | \(0.158122\pi\) | |||||||
\(168\) | −3.00938 | − | 3.45596i | −0.232179 | − | 0.266633i | ||||
\(169\) | 8.27781 | + | 10.0239i | 0.636755 | + | 0.771066i | ||||
\(170\) | −12.6500 | + | 7.30349i | −0.970212 | + | 0.560152i | ||||
\(171\) | −12.7744 | + | 11.6666i | −0.976885 | + | 0.892165i | ||||
\(172\) | 0.214254 | − | 0.371099i | 0.0163367 | − | 0.0282960i | ||||
\(173\) | 7.84476 | + | 13.5875i | 0.596426 | + | 1.03304i | 0.993344 | + | 0.115186i | \(0.0367465\pi\) |
−0.396918 | + | 0.917854i | \(0.629920\pi\) | |||||||
\(174\) | −0.572627 | + | 0.139616i | −0.0434107 | + | 0.0105843i | ||||
\(175\) | 1.78274 | − | 0.921967i | 0.134762 | − | 0.0696941i | ||||
\(176\) | −2.52162 | + | 2.52162i | −0.190074 | + | 0.190074i | ||||
\(177\) | 2.41478 | + | 2.52672i | 0.181506 | + | 0.189920i | ||||
\(178\) | −1.16291 | + | 2.01423i | −0.0871641 | + | 0.150973i | ||||
\(179\) | −1.69754 | + | 2.94023i | −0.126880 | + | 0.219763i | −0.922466 | − | 0.386078i | \(-0.873830\pi\) |
0.795586 | + | 0.605841i | \(0.207163\pi\) | |||||||
\(180\) | −1.32722 | − | 6.03417i | −0.0989249 | − | 0.449761i | ||||
\(181\) | − | 21.4107i | − | 1.59145i | −0.605661 | − | 0.795723i | \(-0.707091\pi\) | ||
0.605661 | − | 0.795723i | \(-0.292909\pi\) | |||||||
\(182\) | 2.80838 | + | 9.11663i | 0.208171 | + | 0.675770i | ||||
\(183\) | 2.62712 | + | 1.59717i | 0.194203 | + | 0.118066i | ||||
\(184\) | −6.04610 | − | 1.62005i | −0.445724 | − | 0.119431i | ||||
\(185\) | −13.8670 | − | 8.00610i | −1.01952 | − | 0.588620i | ||||
\(186\) | −13.0710 | + | 7.15684i | −0.958409 | + | 0.524765i | ||||
\(187\) | −24.4311 | − | 6.54630i | −1.78658 | − | 0.478713i | ||||
\(188\) | 1.10179 | + | 1.10179i | 0.0803564 | + | 0.0803564i | ||||
\(189\) | 11.0445 | + | 8.18645i | 0.803373 | + | 0.595476i | ||||
\(190\) | −8.39786 | − | 8.39786i | −0.609245 | − | 0.609245i | ||||
\(191\) | −6.36942 | + | 3.67739i | −0.460875 | + | 0.266086i | −0.712412 | − | 0.701761i | \(-0.752397\pi\) |
0.251537 | + | 0.967848i | \(0.419064\pi\) | |||||||
\(192\) | 0.831834 | + | 1.51923i | 0.0600324 | + | 0.109641i | ||||
\(193\) | −8.95326 | + | 2.39902i | −0.644470 | + | 0.172685i | −0.566227 | − | 0.824249i | \(-0.691598\pi\) |
−0.0782426 | + | 0.996934i | \(0.524931\pi\) | |||||||
\(194\) | −8.43343 | − | 14.6071i | −0.605485 | − | 1.04873i | ||||
\(195\) | −2.56910 | + | 12.6022i | −0.183977 | + | 0.902461i | ||||
\(196\) | −0.647484 | + | 6.96999i | −0.0462489 | + | 0.497856i | ||||
\(197\) | −13.6917 | − | 13.6917i | −0.975490 | − | 0.975490i | 0.0242167 | − | 0.999707i | \(-0.492291\pi\) |
−0.999707 | + | 0.0242167i | \(0.992291\pi\) | |||||||
\(198\) | 5.76320 | − | 9.01330i | 0.409573 | − | 0.640547i | ||||
\(199\) | 5.65413 | + | 3.26442i | 0.400811 | + | 0.231408i | 0.686834 | − | 0.726814i | \(-0.259000\pi\) |
−0.286023 | + | 0.958223i | \(0.592333\pi\) | |||||||
\(200\) | −0.732739 | + | 0.196337i | −0.0518124 | + | 0.0138831i | ||||
\(201\) | −14.5342 | − | 15.2079i | −1.02516 | − | 1.07269i | ||||
\(202\) | 13.5551 | + | 13.5551i | 0.953731 | + | 0.953731i | ||||
\(203\) | 0.758027 | + | 0.485779i | 0.0532030 | + | 0.0340950i | ||||
\(204\) | −6.38173 | + | 10.4971i | −0.446810 | + | 0.734941i | ||||
\(205\) | 13.2928 | − | 7.67462i | 0.928411 | − | 0.536018i | ||||
\(206\) | −2.08258 | − | 7.77228i | −0.145100 | − | 0.541520i | ||||
\(207\) | 18.7589 | + | 0.850293i | 1.30383 | + | 0.0590995i | ||||
\(208\) | −0.300145 | − | 3.59304i | −0.0208113 | − | 0.249132i | ||||
\(209\) | − | 20.5647i | − | 1.42249i | ||||||
\(210\) | −5.27083 | + | 7.82867i | −0.363722 | + | 0.540229i | ||||
\(211\) | −8.69638 | −0.598683 | −0.299342 | − | 0.954146i | \(-0.596767\pi\) | ||||
−0.299342 | + | 0.954146i | \(0.596767\pi\) | |||||||
\(212\) | 3.31523 | + | 5.74215i | 0.227691 | + | 0.394373i | ||||
\(213\) | −3.50683 | − | 1.02531i | −0.240284 | − | 0.0702532i | ||||
\(214\) | 0.217971 | + | 0.813479i | 0.0149002 | + | 0.0556083i | ||||
\(215\) | −0.852429 | − | 0.228408i | −0.0581352 | − | 0.0155773i | ||||
\(216\) | −3.41630 | − | 3.91521i | −0.232450 | − | 0.266396i | ||||
\(217\) | 21.6912 | + | 6.90323i | 1.47250 | + | 0.468622i | ||||
\(218\) | −13.2569 | −0.897870 | ||||||||
\(219\) | −5.55784 | + | 5.31162i | −0.375564 | + | 0.358926i | ||||
\(220\) | 6.36034 | + | 3.67214i | 0.428814 | + | 0.247576i | ||||
\(221\) | 21.0054 | − | 14.5856i | 1.41297 | − | 0.981132i | ||||
\(222\) | −13.4631 | − | 0.304968i | −0.903583 | − | 0.0204681i | ||||
\(223\) | 2.74582 | − | 2.74582i | 0.183874 | − | 0.183874i | −0.609168 | − | 0.793041i | \(-0.708496\pi\) |
0.793041 | + | 0.609168i | \(0.208496\pi\) | |||||||
\(224\) | 0.802357 | − | 2.52116i | 0.0536097 | − | 0.168452i | ||||
\(225\) | 2.02037 | − | 1.04747i | 0.134691 | − | 0.0698314i | ||||
\(226\) | −2.20386 | − | 0.590522i | −0.146598 | − | 0.0392809i | ||||
\(227\) | −14.5848 | + | 3.90799i | −0.968029 | + | 0.259383i | −0.707996 | − | 0.706217i | \(-0.750400\pi\) |
−0.260034 | + | 0.965600i | \(0.583734\pi\) | |||||||
\(228\) | −9.58688 | − | 2.80297i | −0.634907 | − | 0.185631i | ||||
\(229\) | −0.314817 | + | 1.17491i | −0.0208037 | + | 0.0776406i | −0.975547 | − | 0.219790i | \(-0.929463\pi\) |
0.954744 | + | 0.297430i | \(0.0961296\pi\) | |||||||
\(230\) | 12.8910i | 0.850007i | ||||||||
\(231\) | −16.0391 | + | 3.13182i | −1.05529 | + | 0.206059i | ||||
\(232\) | −0.240622 | − | 0.240622i | −0.0157976 | − | 0.0157976i | ||||
\(233\) | 3.06855 | + | 5.31488i | 0.201027 | + | 0.348189i | 0.948860 | − | 0.315698i | \(-0.102239\pi\) |
−0.747833 | + | 0.663887i | \(0.768905\pi\) | |||||||
\(234\) | 3.19493 | + | 10.3340i | 0.208859 | + | 0.675557i | ||||
\(235\) | 1.60450 | − | 2.77908i | 0.104666 | − | 0.181287i | ||||
\(236\) | −0.522265 | + | 1.94912i | −0.0339966 | + | 0.126877i | ||||
\(237\) | 13.2653 | + | 8.06471i | 0.861676 | + | 0.523859i | ||||
\(238\) | 18.3313 | − | 4.01240i | 1.18824 | − | 0.260085i | ||||
\(239\) | −2.53094 | − | 2.53094i | −0.163713 | − | 0.163713i | 0.620496 | − | 0.784209i | \(-0.286931\pi\) |
−0.784209 | + | 0.620496i | \(0.786931\pi\) | |||||||
\(240\) | 2.57880 | − | 2.46456i | 0.166461 | − | 0.159086i | ||||
\(241\) | 10.5228 | − | 2.81958i | 0.677834 | − | 0.181625i | 0.0965526 | − | 0.995328i | \(-0.469218\pi\) |
0.581281 | + | 0.813703i | \(0.302552\pi\) | |||||||
\(242\) | 0.444423 | + | 1.65861i | 0.0285686 | + | 0.106619i | ||||
\(243\) | 12.5328 | + | 9.26980i | 0.803979 | + | 0.594658i | ||||
\(244\) | 1.77508i | 0.113638i | ||||||||
\(245\) | 14.2105 | − | 2.42718i | 0.907875 | − | 0.155067i | ||||
\(246\) | 6.70601 | − | 11.0305i | 0.427560 | − | 0.703277i | ||||
\(247\) | 15.8752 | + | 13.4274i | 1.01011 | + | 0.854363i | ||||
\(248\) | −7.45101 | − | 4.30184i | −0.473140 | − | 0.273167i | ||||
\(249\) | −19.1163 | − | 5.58914i | −1.21145 | − | 0.354198i | ||||
\(250\) | 5.92982 | + | 10.2707i | 0.375034 | + | 0.649579i | ||||
\(251\) | −11.3906 | −0.718967 | −0.359483 | − | 0.933151i | \(-0.617047\pi\) | ||||
−0.359483 | + | 0.933151i | \(0.617047\pi\) | |||||||
\(252\) | −0.726128 | + | 7.90397i | −0.0457418 | + | 0.497903i | ||||
\(253\) | −15.7838 | + | 15.7838i | −0.992317 | + | 0.992317i | ||||
\(254\) | 7.57516 | + | 2.02976i | 0.475308 | + | 0.127358i | ||||
\(255\) | 24.2834 | + | 7.09988i | 1.52069 | + | 0.444612i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 3.02138 | + | 5.23318i | 0.188468 | + | 0.326437i | 0.944740 | − | 0.327821i | \(-0.106314\pi\) |
−0.756271 | + | 0.654258i | \(0.772981\pi\) | |||||||
\(258\) | −0.721075 | + | 0.175810i | −0.0448922 | + | 0.0109455i | ||||
\(259\) | 13.8565 | + | 15.2034i | 0.861001 | + | 0.944691i | ||||
\(260\) | −6.98762 | + | 2.51227i | −0.433354 | + | 0.155805i | ||||
\(261\) | 0.860082 | + | 0.549946i | 0.0532377 | + | 0.0340408i | ||||
\(262\) | −3.55719 | − | 13.2756i | −0.219764 | − | 0.820171i | ||||
\(263\) | 11.9684 | + | 6.90998i | 0.738006 | + | 0.426088i | 0.821344 | − | 0.570434i | \(-0.193225\pi\) |
−0.0833381 | + | 0.996521i | \(0.526558\pi\) | |||||||
\(264\) | 6.17509 | + | 0.139879i | 0.380051 | + | 0.00860896i | ||||
\(265\) | 9.65571 | − | 9.65571i | 0.593146 | − | 0.593146i | ||||
\(266\) | 7.00871 | + | 13.5522i | 0.429732 | + | 0.830940i | ||||
\(267\) | 3.91380 | − | 0.954252i | 0.239521 | − | 0.0583993i | ||||
\(268\) | 3.14344 | − | 11.7315i | 0.192016 | − | 0.716613i | ||||
\(269\) | 18.7675 | + | 10.8354i | 1.14428 | + | 0.660648i | 0.947486 | − | 0.319798i | \(-0.103615\pi\) |
0.196790 | + | 0.980446i | \(0.436948\pi\) | |||||||
\(270\) | −5.96751 | + | 8.88296i | −0.363171 | + | 0.540600i | ||||
\(271\) | 0.678087 | − | 2.53065i | 0.0411908 | − | 0.153726i | −0.942267 | − | 0.334861i | \(-0.891310\pi\) |
0.983458 | + | 0.181135i | \(0.0579771\pi\) | |||||||
\(272\) | −7.09260 | −0.430052 | ||||||||
\(273\) | 8.05477 | − | 14.4264i | 0.487497 | − | 0.873125i | ||||
\(274\) | −11.6743 | −0.705271 | ||||||||
\(275\) | −0.700158 | + | 2.61302i | −0.0422211 | + | 0.157571i | ||||
\(276\) | 5.20676 | + | 9.50942i | 0.313410 | + | 0.572400i | ||||
\(277\) | 1.39339 | + | 0.804475i | 0.0837208 | + | 0.0483362i | 0.541276 | − | 0.840845i | \(-0.317941\pi\) |
−0.457555 | + | 0.889181i | \(0.651275\pi\) | |||||||
\(278\) | 5.54008 | − | 20.6759i | 0.332272 | − | 1.24006i | ||||
\(279\) | 24.6035 | + | 7.80247i | 1.47297 | + | 0.467122i | ||||
\(280\) | −5.44300 | − | 0.252273i | −0.325281 | − | 0.0150762i | ||||
\(281\) | −7.24549 | + | 7.24549i | −0.432230 | + | 0.432230i | −0.889386 | − | 0.457156i | \(-0.848868\pi\) |
0.457156 | + | 0.889386i | \(0.348868\pi\) | |||||||
\(282\) | 0.0611185 | − | 2.69813i | 0.00363955 | − | 0.160672i | ||||
\(283\) | 9.21099 | + | 5.31797i | 0.547537 | + | 0.316120i | 0.748128 | − | 0.663555i | \(-0.230953\pi\) |
−0.200591 | + | 0.979675i | \(0.564286\pi\) | |||||||
\(284\) | −0.545961 | − | 2.03755i | −0.0323968 | − | 0.120907i | ||||
\(285\) | −0.465846 | + | 20.5652i | −0.0275943 | + | 1.21818i | ||||
\(286\) | −11.6317 | − | 5.47963i | −0.687796 | − | 0.324017i | ||||
\(287\) | −19.2628 | + | 4.21628i | −1.13704 | + | 0.248879i | ||||
\(288\) | 0.906875 | − | 2.85965i | 0.0534381 | − | 0.168506i | ||||
\(289\) | −16.6525 | − | 28.8429i | −0.979557 | − | 1.69664i | ||||
\(290\) | −0.350409 | + | 0.606927i | −0.0205767 | + | 0.0356400i | ||||
\(291\) | −8.19832 | + | 28.0403i | −0.480594 | + | 1.64375i | ||||
\(292\) | −4.28734 | − | 1.14879i | −0.250897 | − | 0.0672277i | ||||
\(293\) | −13.4623 | + | 13.4623i | −0.786477 | + | 0.786477i | −0.980915 | − | 0.194438i | \(-0.937712\pi\) |
0.194438 | + | 0.980915i | \(0.437712\pi\) | |||||||
\(294\) | 9.50243 | − | 7.53019i | 0.554193 | − | 0.439170i | ||||
\(295\) | 4.15576 | 0.241957 | ||||||||
\(296\) | −3.88746 | − | 6.73327i | −0.225954 | − | 0.391363i | ||||
\(297\) | −18.1829 | + | 3.56968i | −1.05508 | + | 0.207134i | ||||
\(298\) | −7.52503 | − | 4.34458i | −0.435913 | − | 0.251675i | ||||
\(299\) | −1.87872 | − | 22.4902i | −0.108649 | − | 1.30064i | ||||
\(300\) | 1.12271 | + | 0.682556i | 0.0648197 | + | 0.0394074i | ||||
\(301\) | 0.954538 | + | 0.611713i | 0.0550187 | + | 0.0352586i | ||||
\(302\) | 4.58188i | 0.263658i | ||||||||
\(303\) | 0.751925 | − | 33.1945i | 0.0431970 | − | 1.90697i | ||||
\(304\) | −1.49254 | − | 5.57022i | −0.0856028 | − | 0.319474i | ||||
\(305\) | 3.53116 | − | 0.946171i | 0.202193 | − | 0.0541776i | ||||
\(306\) | 20.7811 | − | 4.57080i | 1.18797 | − | 0.261295i | ||||
\(307\) | −19.3297 | − | 19.3297i | −1.10320 | − | 1.10320i | −0.994022 | − | 0.109180i | \(-0.965178\pi\) |
−0.109180 | − | 0.994022i | \(-0.534822\pi\) | |||||||
\(308\) | −6.35554 | − | 6.97330i | −0.362140 | − | 0.397341i | ||||
\(309\) | −7.23998 | + | 11.9088i | −0.411868 | + | 0.677467i | ||||
\(310\) | −4.58602 | + | 17.1153i | −0.260469 | + | 0.972082i | ||||
\(311\) | −3.15032 | + | 5.45652i | −0.178639 | + | 0.309411i | −0.941414 | − | 0.337252i | \(-0.890503\pi\) |
0.762776 | + | 0.646663i | \(0.223836\pi\) | |||||||
\(312\) | −4.13990 | + | 4.67560i | −0.234376 | + | 0.264704i | ||||
\(313\) | 11.4585 | + | 19.8468i | 0.647675 | + | 1.12181i | 0.983677 | + | 0.179945i | \(0.0575919\pi\) |
−0.336002 | + | 0.941861i | \(0.609075\pi\) | |||||||
\(314\) | 1.41175 | + | 1.41175i | 0.0796694 | + | 0.0796694i | ||||
\(315\) | 16.1104 | − | 2.76857i | 0.907717 | − | 0.155991i | ||||
\(316\) | 8.96305i | 0.504211i | ||||||||
\(317\) | −0.681102 | + | 2.54191i | −0.0382545 | + | 0.142768i | −0.982412 | − | 0.186727i | \(-0.940212\pi\) |
0.944157 | + | 0.329495i | \(0.106879\pi\) | |||||||
\(318\) | 3.22281 | − | 11.0228i | 0.180726 | − | 0.618130i | ||||
\(319\) | −1.17216 | + | 0.314081i | −0.0656286 | + | 0.0175851i | ||||
\(320\) | 1.98929 | + | 0.533030i | 0.111205 | + | 0.0297973i | ||||
\(321\) | 0.757766 | − | 1.24642i | 0.0422944 | − | 0.0695685i | ||||
\(322\) | 5.02226 | − | 15.7809i | 0.279879 | − | 0.879433i | ||||
\(323\) | 28.9214 | − | 28.9214i | 1.60923 | − | 1.60923i | ||||
\(324\) | −0.814222 | + | 8.96309i | −0.0452346 | + | 0.497950i | ||||
\(325\) | −1.56000 | − | 2.24662i | −0.0865331 | − | 0.124620i | ||||
\(326\) | 14.6499 | + | 8.45814i | 0.811385 | + | 0.468453i | ||||
\(327\) | 15.8645 | + | 16.5998i | 0.877307 | + | 0.917973i | ||||
\(328\) | 7.45300 | 0.411523 | ||||||||
\(329\) | −3.04690 | + | 2.77698i | −0.167981 | + | 0.153100i | ||||
\(330\) | −3.01325 | − | 12.3586i | −0.165874 | − | 0.680321i | ||||
\(331\) | 19.9451 | + | 5.34427i | 1.09628 | + | 0.293748i | 0.761250 | − | 0.648459i | \(-0.224586\pi\) |
0.335032 | + | 0.942207i | \(0.391253\pi\) | |||||||
\(332\) | −2.97612 | − | 11.1070i | −0.163336 | − | 0.609578i | ||||
\(333\) | 15.7293 | + | 17.2230i | 0.861963 | + | 0.943814i | ||||
\(334\) | −3.67851 | − | 6.37136i | −0.201279 | − | 0.348626i | ||||
\(335\) | −25.0129 | −1.36660 | ||||||||
\(336\) | −4.11708 | + | 2.01237i | −0.224605 | + | 0.109784i | ||||
\(337\) | 34.3237i | 1.86973i | 0.354999 | + | 0.934867i | \(0.384481\pi\) | ||||
−0.354999 | + | 0.934867i | \(0.615519\pi\) | |||||||
\(338\) | 11.8248 | − | 5.40139i | 0.643182 | − | 0.293797i | ||||
\(339\) | 1.89791 | + | 3.46627i | 0.103080 | + | 0.188262i | ||||
\(340\) | 3.78057 | + | 14.1093i | 0.205030 | + | 0.765182i | ||||
\(341\) | −26.5711 | + | 15.3408i | −1.43891 | + | 0.830753i | ||||
\(342\) | 7.96278 | + | 15.3587i | 0.430578 | + | 0.830502i | ||||
\(343\) | −18.3418 | − | 2.56503i | −0.990363 | − | 0.138499i | ||||
\(344\) | −0.303001 | − | 0.303001i | −0.0163367 | − | 0.0163367i | ||||
\(345\) | 16.1417 | − | 15.4266i | 0.869039 | − | 0.830540i | ||||
\(346\) | 15.1549 | − | 4.06075i | 0.814733 | − | 0.218307i | ||||
\(347\) | 11.7055 | + | 6.75818i | 0.628385 | + | 0.362798i | 0.780126 | − | 0.625622i | \(-0.215155\pi\) |
−0.151741 | + | 0.988420i | \(0.548488\pi\) | |||||||
\(348\) | −0.0133478 | + | 0.589250i | −0.000715516 | + | 0.0315871i | ||||
\(349\) | 6.08708 | + | 6.08708i | 0.325834 | + | 0.325834i | 0.851000 | − | 0.525166i | \(-0.175997\pi\) |
−0.525166 | + | 0.851000i | \(0.675997\pi\) | |||||||
\(350\) | −0.429145 | − | 1.96062i | −0.0229388 | − | 0.104799i | ||||
\(351\) | 9.11658 | − | 16.3673i | 0.486607 | − | 0.873621i | ||||
\(352\) | 1.78305 | + | 3.08834i | 0.0950371 | + | 0.164609i | ||||
\(353\) | −23.0739 | + | 6.18263i | −1.22810 | + | 0.329068i | −0.813839 | − | 0.581090i | \(-0.802626\pi\) |
−0.414260 | + | 0.910159i | \(0.635960\pi\) | |||||||
\(354\) | 3.06561 | − | 1.67854i | 0.162936 | − | 0.0892133i | ||||
\(355\) | −3.76228 | + | 2.17215i | −0.199681 | + | 0.115286i | ||||
\(356\) | 1.64461 | + | 1.64461i | 0.0871641 | + | 0.0871641i | ||||
\(357\) | −26.9611 | − | 18.1522i | −1.42693 | − | 0.960715i | ||||
\(358\) | 2.40069 | + | 2.40069i | 0.126880 | + | 0.126880i | ||||
\(359\) | 7.33651 | + | 1.96581i | 0.387206 | + | 0.103752i | 0.447170 | − | 0.894449i | \(-0.352432\pi\) |
−0.0599637 | + | 0.998201i | \(0.519099\pi\) | |||||||
\(360\) | −6.17207 | − | 0.279765i | −0.325297 | − | 0.0147449i | ||||
\(361\) | 12.3452 | + | 7.12749i | 0.649746 | + | 0.375131i | ||||
\(362\) | −20.6812 | − | 5.54150i | −1.08698 | − | 0.291255i | ||||
\(363\) | 1.54502 | − | 2.54134i | 0.0810923 | − | 0.133386i | ||||
\(364\) | 9.53285 | − | 0.353131i | 0.499657 | − | 0.0185091i | ||||
\(365\) | 9.14111i | 0.478468i | ||||||||
\(366\) | 2.22270 | − | 2.12423i | 0.116182 | − | 0.111035i | ||||
\(367\) | 6.10777 | − | 10.5790i | 0.318823 | − | 0.552218i | −0.661420 | − | 0.750016i | \(-0.730046\pi\) |
0.980243 | + | 0.197798i | \(0.0633791\pi\) | |||||||
\(368\) | −3.12969 | + | 5.42078i | −0.163146 | + | 0.282578i | ||||
\(369\) | −21.8370 | + | 4.80306i | −1.13679 | + | 0.250037i | ||||
\(370\) | −11.3223 | + | 11.3223i | −0.588620 | + | 0.588620i | ||||
\(371\) | −15.5821 | + | 8.05850i | −0.808983 | + | 0.418376i | ||||
\(372\) | 3.52996 | + | 14.4779i | 0.183020 | + | 0.750644i | ||||
\(373\) | 2.63091 | + | 4.55686i | 0.136223 | + | 0.235945i | 0.926064 | − | 0.377366i | \(-0.123170\pi\) |
−0.789841 | + | 0.613312i | \(0.789837\pi\) | |||||||
\(374\) | −12.6465 | + | 21.9043i | −0.653934 | + | 1.13265i | ||||
\(375\) | 5.76450 | − | 19.7161i | 0.297678 | − | 1.01813i | ||||
\(376\) | 1.34941 | − | 0.779084i | 0.0695907 | − | 0.0401782i | ||||
\(377\) | 0.522886 | − | 1.10994i | 0.0269300 | − | 0.0571647i | ||||
\(378\) | 10.7660 | − | 8.54941i | 0.553745 | − | 0.439734i | ||||
\(379\) | −10.6483 | + | 10.6483i | −0.546967 | + | 0.546967i | −0.925562 | − | 0.378595i | \(-0.876407\pi\) |
0.378595 | + | 0.925562i | \(0.376407\pi\) | |||||||
\(380\) | −10.2852 | + | 5.93818i | −0.527622 | + | 0.304622i | ||||
\(381\) | −6.52356 | − | 11.9144i | −0.334212 | − | 0.610391i | ||||
\(382\) | 1.90355 | + | 7.10416i | 0.0973943 | + | 0.363481i | ||||
\(383\) | 4.07334 | − | 15.2019i | 0.208138 | − | 0.776781i | −0.780332 | − | 0.625365i | \(-0.784950\pi\) |
0.988470 | − | 0.151416i | \(-0.0483833\pi\) | |||||||
\(384\) | 1.68276 | − | 0.410285i | 0.0858728 | − | 0.0209373i | ||||
\(385\) | −10.4843 | + | 16.3600i | −0.534328 | + | 0.833783i | ||||
\(386\) | 9.26910i | 0.471785i | ||||||||
\(387\) | 1.08305 | + | 0.692515i | 0.0550546 | + | 0.0352025i | ||||
\(388\) | −16.2921 | + | 4.36546i | −0.827108 | + | 0.221623i | ||||
\(389\) | 7.87823 | − | 13.6455i | 0.399442 | − | 0.691854i | −0.594215 | − | 0.804306i | \(-0.702537\pi\) |
0.993657 | + | 0.112452i | \(0.0358705\pi\) | |||||||
\(390\) | 11.5078 | + | 5.74324i | 0.582722 | + | 0.290820i | ||||
\(391\) | −44.3953 | −2.24516 | ||||||||
\(392\) | 6.56491 | + | 2.42939i | 0.331578 | + | 0.122703i | ||||
\(393\) | −12.3664 | + | 20.3411i | −0.623804 | + | 1.02607i | ||||
\(394\) | −16.7688 | + | 9.68146i | −0.844799 | + | 0.487745i | ||||
\(395\) | 17.8301 | − | 4.77757i | 0.897132 | − | 0.240386i | ||||
\(396\) | −7.21455 | − | 7.89964i | −0.362545 | − | 0.396972i | ||||
\(397\) | −2.61571 | + | 9.76195i | −0.131279 | + | 0.489938i | −0.999985 | − | 0.00538814i | \(-0.998285\pi\) |
0.868707 | + | 0.495326i | \(0.164952\pi\) | |||||||
\(398\) | 4.61658 | − | 4.61658i | 0.231408 | − | 0.231408i | ||||
\(399\) | 8.58236 | − | 24.9940i | 0.429655 | − | 1.25126i | ||||
\(400\) | 0.758587i | 0.0379293i | ||||||||
\(401\) | −31.9787 | − | 8.56867i | −1.59694 | − | 0.427899i | −0.652824 | − | 0.757510i | \(-0.726416\pi\) |
−0.944117 | + | 0.329611i | \(0.893082\pi\) | |||||||
\(402\) | −18.4515 | + | 10.1029i | −0.920276 | + | 0.503885i | ||||
\(403\) | 5.50661 | − | 30.5284i | 0.274304 | − | 1.52073i | ||||
\(404\) | 16.6015 | − | 9.58488i | 0.825955 | − | 0.476865i | ||||
\(405\) | 18.2642 | − | 3.15787i | 0.907557 | − | 0.156916i | ||||
\(406\) | 0.665418 | − | 0.606469i | 0.0330242 | − | 0.0300985i | ||||
\(407\) | −27.7262 | −1.37434 | ||||||||
\(408\) | 8.48767 | + | 8.88111i | 0.420202 | + | 0.439681i | ||||
\(409\) | −5.76463 | − | 21.5139i | −0.285042 | − | 1.06379i | −0.948808 | − | 0.315852i | \(-0.897710\pi\) |
0.663766 | − | 0.747940i | \(-0.268957\pi\) | |||||||
\(410\) | −3.97267 | − | 14.8262i | −0.196196 | − | 0.732215i | ||||
\(411\) | 13.9706 | + | 14.6182i | 0.689119 | + | 0.721062i | ||||
\(412\) | −8.04646 | −0.396420 | ||||||||
\(413\) | −5.08738 | − | 1.61906i | −0.250334 | − | 0.0796686i | ||||
\(414\) | 5.67648 | − | 17.8996i | 0.278984 | − | 0.879718i | ||||
\(415\) | −20.5088 | + | 11.8408i | −1.00674 | + | 0.581240i | ||||
\(416\) | −3.54829 | − | 0.640028i | −0.173969 | − | 0.0313800i | ||||
\(417\) | −32.5194 | + | 17.8056i | −1.59248 | + | 0.871944i | ||||
\(418\) | −19.8640 | − | 5.32254i | −0.971580 | − | 0.260334i | ||||
\(419\) | − | 2.14134i | − | 0.104611i | −0.998631 | − | 0.0523057i | \(-0.983343\pi\) | ||
0.998631 | − | 0.0523057i | \(-0.0166570\pi\) | |||||||
\(420\) | 6.19772 | + | 7.11744i | 0.302418 | + | 0.347295i | ||||
\(421\) | −4.67526 | + | 4.67526i | −0.227858 | + | 0.227858i | −0.811797 | − | 0.583939i | \(-0.801511\pi\) |
0.583939 | + | 0.811797i | \(0.301511\pi\) | |||||||
\(422\) | −2.25079 | + | 8.40006i | −0.109567 | + | 0.408908i | ||||
\(423\) | −3.45165 | + | 3.15231i | −0.167825 | + | 0.153271i | ||||
\(424\) | 6.40454 | − | 1.71609i | 0.311032 | − | 0.0833408i | ||||
\(425\) | −4.65952 | + | 2.69018i | −0.226020 | + | 0.130493i | ||||
\(426\) | −1.89801 | + | 3.12197i | −0.0919589 | + | 0.151260i | ||||
\(427\) | −4.69138 | − | 0.217437i | −0.227032 | − | 0.0105225i | ||||
\(428\) | 0.842175 | 0.0407081 | ||||||||
\(429\) | 7.05818 | + | 21.1223i | 0.340772 | + | 1.01979i | ||||
\(430\) | −0.441250 | + | 0.764267i | −0.0212790 | + | 0.0368562i | ||||
\(431\) | 21.6860 | − | 5.81075i | 1.04458 | − | 0.279894i | 0.304569 | − | 0.952490i | \(-0.401488\pi\) |
0.740009 | + | 0.672596i | \(0.234821\pi\) | |||||||
\(432\) | −4.66601 | + | 2.28657i | −0.224493 | + | 0.110012i | ||||
\(433\) | 21.9443i | 1.05458i | 0.849687 | + | 0.527288i | \(0.176791\pi\) | ||||
−0.849687 | + | 0.527288i | \(0.823209\pi\) | |||||||
\(434\) | 12.2821 | − | 19.1654i | 0.589560 | − | 0.919970i | ||||
\(435\) | 1.17931 | − | 0.287535i | 0.0565434 | − | 0.0137863i | ||||
\(436\) | −3.43114 | + | 12.8052i | −0.164322 | + | 0.613257i | ||||
\(437\) | −9.34235 | − | 34.8661i | −0.446905 | − | 1.66787i | ||||
\(438\) | 3.69216 | + | 6.74321i | 0.176418 | + | 0.322203i | ||||
\(439\) | 5.76484 | − | 3.32833i | 0.275141 | − | 0.158853i | −0.356081 | − | 0.934455i | \(-0.615887\pi\) |
0.631222 | + | 0.775603i | \(0.282554\pi\) | |||||||
\(440\) | 5.19319 | − | 5.19319i | 0.247576 | − | 0.247576i | ||||
\(441\) | −20.8006 | − | 2.88729i | −0.990503 | − | 0.137490i | ||||
\(442\) | −8.65200 | − | 24.0646i | −0.411534 | − | 1.14464i | ||||
\(443\) | 12.0003 | − | 6.92836i | 0.570150 | − | 0.329176i | −0.187059 | − | 0.982349i | \(-0.559896\pi\) |
0.757209 | + | 0.653172i | \(0.226562\pi\) | |||||||
\(444\) | −3.77908 | + | 12.9254i | −0.179347 | + | 0.613413i | ||||
\(445\) | 2.39499 | − | 4.14824i | 0.113533 | − | 0.196645i | ||||
\(446\) | −1.94159 | − | 3.36293i | −0.0919369 | − | 0.159239i | ||||
\(447\) | 3.56503 | + | 14.6217i | 0.168620 | + | 0.691584i | ||||
\(448\) | −2.22758 | − | 1.42754i | −0.105243 | − | 0.0674449i | ||||
\(449\) | −0.760702 | + | 0.760702i | −0.0358998 | + | 0.0358998i | −0.724829 | − | 0.688929i | \(-0.758081\pi\) |
0.688929 | + | 0.724829i | \(0.258081\pi\) | |||||||
\(450\) | −0.488869 | − | 2.22263i | −0.0230455 | − | 0.104776i | ||||
\(451\) | 13.2891 | − | 23.0174i | 0.625759 | − | 1.08385i | ||||
\(452\) | −1.14080 | + | 1.97592i | −0.0536587 | + | 0.0929397i | ||||
\(453\) | 5.73728 | − | 5.48312i | 0.269561 | − | 0.257619i | ||||
\(454\) | 15.0993i | 0.708647i | ||||||||
\(455\) | −5.78378 | − | 18.7754i | −0.271148 | − | 0.880205i | ||||
\(456\) | −5.18873 | + | 8.53475i | −0.242985 | + | 0.399676i | ||||
\(457\) | 17.7240 | + | 4.74912i | 0.829092 | + | 0.222155i | 0.648318 | − | 0.761370i | \(-0.275473\pi\) |
0.180775 | + | 0.983525i | \(0.442140\pi\) | |||||||
\(458\) | 1.05340 | + | 0.608181i | 0.0492221 | + | 0.0284184i | ||||
\(459\) | −30.5920 | − | 20.5515i | −1.42791 | − | 0.959261i | ||||
\(460\) | 12.4517 | + | 3.33644i | 0.580566 | + | 0.155562i | ||||
\(461\) | 12.6810 | + | 12.6810i | 0.590615 | + | 0.590615i | 0.937797 | − | 0.347183i | \(-0.112862\pi\) |
−0.347183 | + | 0.937797i | \(0.612862\pi\) | |||||||
\(462\) | −1.12610 | + | 16.3031i | −0.0523910 | + | 0.758489i | ||||
\(463\) | −18.1175 | − | 18.1175i | −0.841992 | − | 0.841992i | 0.147126 | − | 0.989118i | \(-0.452998\pi\) |
−0.989118 | + | 0.147126i | \(0.952998\pi\) | |||||||
\(464\) | −0.294701 | + | 0.170145i | −0.0136811 | + | 0.00789881i | ||||
\(465\) | 26.9192 | − | 14.7393i | 1.24835 | − | 0.683518i | ||||
\(466\) | 5.92797 | − | 1.58840i | 0.274608 | − | 0.0735810i | ||||
\(467\) | 12.7135 | + | 22.0204i | 0.588310 | + | 1.01898i | 0.994454 | + | 0.105174i | \(0.0335399\pi\) |
−0.406144 | + | 0.913809i | \(0.633127\pi\) | |||||||
\(468\) | 10.8088 | − | 0.411422i | 0.499638 | − | 0.0190180i | ||||
\(469\) | 30.6202 | + | 9.74487i | 1.41391 | + | 0.449976i | ||||
\(470\) | −2.26911 | − | 2.26911i | −0.104666 | − | 0.104666i | ||||
\(471\) | 0.0783123 | − | 3.45717i | 0.00360844 | − | 0.159298i | ||||
\(472\) | 1.74753 | + | 1.00894i | 0.0804367 | + | 0.0464402i | ||||
\(473\) | −1.47604 | + | 0.395503i | −0.0678683 | + | 0.0181853i | ||||
\(474\) | 11.2232 | − | 10.7260i | 0.515500 | − | 0.492663i | ||||
\(475\) | −3.09328 | − | 3.09328i | −0.141929 | − | 0.141929i | ||||
\(476\) | 0.868803 | − | 18.7451i | 0.0398215 | − | 0.859181i | ||||
\(477\) | −17.6591 | + | 9.15547i | −0.808557 | + | 0.419200i | ||||
\(478\) | −3.09975 | + | 1.78964i | −0.141779 | + | 0.0818564i | ||||
\(479\) | 3.58545 | + | 13.3811i | 0.163823 | + | 0.611397i | 0.998187 | + | 0.0601830i | \(0.0191684\pi\) |
−0.834364 | + | 0.551214i | \(0.814165\pi\) | |||||||
\(480\) | −1.71314 | − | 3.12880i | −0.0781936 | − | 0.142810i | ||||
\(481\) | 18.1033 | − | 21.4035i | 0.825440 | − | 0.975917i | ||||
\(482\) | − | 10.8940i | − | 0.496209i | ||||||
\(483\) | −25.7704 | + | 12.5962i | −1.17259 | + | 0.573146i | ||||
\(484\) | 1.71712 | 0.0780508 | ||||||||
\(485\) | 17.3684 | + | 30.0829i | 0.788658 | + | 1.36600i | ||||
\(486\) | 12.1977 | − | 9.70654i | 0.553297 | − | 0.440298i | ||||
\(487\) | −3.65198 | − | 13.6294i | −0.165487 | − | 0.617606i | −0.997978 | − | 0.0635670i | \(-0.979752\pi\) |
0.832490 | − | 0.554039i | \(-0.186914\pi\) | |||||||
\(488\) | 1.71460 | + | 0.459425i | 0.0776161 | + | 0.0207972i | ||||
\(489\) | −6.94050 | − | 28.4660i | −0.313860 | − | 1.28728i | ||||
\(490\) | 1.33347 | − | 14.3545i | 0.0602402 | − | 0.648469i | ||||
\(491\) | 33.7611 | 1.52362 | 0.761809 | − | 0.647802i | \(-0.224312\pi\) | ||||
0.761809 | + | 0.647802i | \(0.224312\pi\) | |||||||
\(492\) | −8.91897 | − | 9.33240i | −0.402098 | − | 0.420737i | ||||
\(493\) | −2.09019 | − | 1.20677i | −0.0941375 | − | 0.0543503i | ||||
\(494\) | 17.0786 | − | 11.8590i | 0.768404 | − | 0.533560i | ||||
\(495\) | −11.8691 | + | 18.5626i | −0.533478 | + | 0.834327i | ||||
\(496\) | −6.08373 | + | 6.08373i | −0.273167 | + | 0.273167i | ||||
\(497\) | 5.45196 | − | 1.19334i | 0.244554 | − | 0.0535286i | ||||
\(498\) | −10.3464 | + | 17.0183i | −0.463631 | + | 0.762610i | ||||
\(499\) | −8.12039 | − | 2.17585i | −0.363519 | − | 0.0974045i | 0.0724362 | − | 0.997373i | \(-0.476923\pi\) |
−0.435955 | + | 0.899968i | \(0.643589\pi\) | |||||||
\(500\) | 11.4555 | − | 3.06950i | 0.512307 | − | 0.137272i | ||||
\(501\) | −3.57596 | + | 12.2307i | −0.159762 | + | 0.546427i | ||||
\(502\) | −2.94810 | + | 11.0025i | −0.131580 | + | 0.491064i | ||||
\(503\) | − | 15.3123i | − | 0.682741i | −0.939929 | − | 0.341371i | \(-0.889109\pi\) | ||
0.939929 | − | 0.341371i | \(-0.110891\pi\) | |||||||
\(504\) | 7.44671 | + | 2.74708i | 0.331703 | + | 0.122365i | ||||
\(505\) | −27.9162 | − | 27.9162i | −1.24226 | − | 1.24226i | ||||
\(506\) | 11.1608 | + | 19.3311i | 0.496158 | + | 0.859372i | ||||
\(507\) | −20.9141 | − | 8.34276i | −0.928826 | − | 0.370515i | ||||
\(508\) | 3.92119 | − | 6.79170i | 0.173975 | − | 0.301333i | ||||
\(509\) | 10.2170 | − | 38.1303i | 0.452860 | − | 1.69010i | −0.241444 | − | 0.970415i | \(-0.577621\pi\) |
0.694304 | − | 0.719681i | \(-0.255712\pi\) | |||||||
\(510\) | 13.1430 | − | 21.6184i | 0.581980 | − | 0.957278i | ||||
\(511\) | 3.56132 | − | 11.1903i | 0.157544 | − | 0.495031i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 9.70261 | − | 28.3504i | 0.428381 | − | 1.25170i | ||||
\(514\) | 5.83685 | − | 1.56398i | 0.257452 | − | 0.0689842i | ||||
\(515\) | 4.28900 | + | 16.0068i | 0.188996 | + | 0.705343i | ||||
\(516\) | −0.0168081 | + | 0.742008i | −0.000739934 | + | 0.0326651i | ||||
\(517\) | − | 5.55660i | − | 0.244379i | ||||||
\(518\) | 18.2717 | − | 9.44943i | 0.802810 | − | 0.415184i | ||||
\(519\) | −23.2205 | − | 14.1170i | −1.01927 | − | 0.619668i | ||||
\(520\) | 0.618140 | + | 7.39975i | 0.0271072 | + | 0.324500i | ||||
\(521\) | 4.76089 | + | 2.74870i | 0.208579 | + | 0.120423i | 0.600651 | − | 0.799512i | \(-0.294908\pi\) |
−0.392072 | + | 0.919935i | \(0.628242\pi\) | |||||||
\(522\) | 0.753813 | − | 0.688439i | 0.0329935 | − | 0.0301322i | ||||
\(523\) | 19.2984 | + | 33.4258i | 0.843860 | + | 1.46161i | 0.886607 | + | 0.462523i | \(0.153056\pi\) |
−0.0427471 | + | 0.999086i | \(0.513611\pi\) | |||||||
\(524\) | −13.7439 | −0.600407 | ||||||||
\(525\) | −1.94146 | + | 2.88362i | −0.0847324 | + | 0.125851i | ||||
\(526\) | 9.77219 | − | 9.77219i | 0.426088 | − | 0.426088i | ||||
\(527\) | −58.9432 | − | 15.7938i | −2.56761 | − | 0.687988i | ||||
\(528\) | 1.73334 | − | 5.92848i | 0.0754341 | − | 0.258004i | ||||
\(529\) | −8.08992 | + | 14.0121i | −0.351736 | + | 0.609224i | ||||
\(530\) | −6.82762 | − | 11.8258i | −0.296573 | − | 0.513679i | ||||
\(531\) | −5.77042 | − | 1.82996i | −0.250415 | − | 0.0794136i | ||||
\(532\) | 14.9044 | − | 3.26232i | 0.646189 | − | 0.141440i | ||||
\(533\) | 9.09165 | + | 25.2875i | 0.393803 | + | 1.09532i | ||||
\(534\) | 0.0912296 | − | 4.02742i | 0.00394789 | − | 0.174283i | ||||
\(535\) | −0.448905 | − | 1.67533i | −0.0194078 | − | 0.0724310i | ||||
\(536\) | −10.5181 | − | 6.07265i | −0.454314 | − | 0.262299i | ||||
\(537\) | 0.133171 | − | 5.87895i | 0.00574674 | − | 0.253695i | ||||
\(538\) | 15.3236 | − | 15.3236i | 0.660648 | − | 0.660648i | ||||
\(539\) | 19.2084 | − | 15.9429i | 0.827363 | − | 0.686711i | ||||
\(540\) | 7.03577 | + | 8.06325i | 0.302771 | + | 0.346987i | ||||
\(541\) | 8.01593 | − | 29.9159i | 0.344632 | − | 1.28618i | −0.548410 | − | 0.836209i | \(-0.684767\pi\) |
0.893042 | − | 0.449973i | \(-0.148567\pi\) | |||||||
\(542\) | −2.26892 | − | 1.30996i | −0.0974586 | − | 0.0562677i | ||||
\(543\) | 17.8102 | + | 32.5278i | 0.764307 | + | 1.39590i | ||||
\(544\) | −1.83570 | + | 6.85092i | −0.0787049 | + | 0.293731i | ||||
\(545\) | 27.3022 | 1.16950 | ||||||||
\(546\) | −11.8501 | − | 11.5141i | −0.507137 | − | 0.492759i | ||||
\(547\) | 31.8987 | 1.36389 | 0.681944 | − | 0.731404i | \(-0.261135\pi\) | ||||
0.681944 | + | 0.731404i | \(0.261135\pi\) | |||||||
\(548\) | −3.02154 | + | 11.2765i | −0.129074 | + | 0.481709i | ||||
\(549\) | −5.31978 | − | 0.241132i | −0.227043 | − | 0.0102913i | ||||
\(550\) | 2.34277 | + | 1.35260i | 0.0998962 | + | 0.0576751i | ||||
\(551\) | 0.507896 | − | 1.89549i | 0.0216371 | − | 0.0807508i | ||||
\(552\) | 10.5330 | − | 2.56813i | 0.448315 | − | 0.109307i | ||||
\(553\) | −23.6886 | − | 1.09792i | −1.00734 | − | 0.0466884i | ||||
\(554\) | 1.13770 | − | 1.13770i | 0.0483362 | − | 0.0483362i | ||||
\(555\) | 27.7268 | + | 0.628071i | 1.17694 | + | 0.0266602i | ||||
\(556\) | −18.5375 | − | 10.7026i | −0.786164 | − | 0.453892i | ||||
\(557\) | −6.74800 | − | 25.1839i | −0.285922 | − | 1.06708i | −0.948163 | − | 0.317784i | \(-0.897061\pi\) |
0.662241 | − | 0.749291i | \(-0.269605\pi\) | |||||||
\(558\) | 13.9045 | − | 21.7457i | 0.588623 | − | 0.920570i | ||||
\(559\) | 0.658440 | − | 1.39768i | 0.0278490 | − | 0.0591156i | ||||
\(560\) | −1.65243 | + | 5.19224i | −0.0698279 | + | 0.219412i | ||||
\(561\) | 42.5619 | − | 10.3773i | 1.79696 | − | 0.438131i | ||||
\(562\) | 5.12334 | + | 8.87388i | 0.216115 | + | 0.374322i | ||||
\(563\) | 16.1891 | − | 28.0403i | 0.682289 | − | 1.18176i | −0.291991 | − | 0.956421i | \(-0.594318\pi\) |
0.974281 | − | 0.225339i | \(-0.0723488\pi\) | |||||||
\(564\) | −2.59038 | − | 0.757365i | −0.109075 | − | 0.0318908i | ||||
\(565\) | 4.53878 | + | 1.21616i | 0.190948 | + | 0.0511643i | ||||
\(566\) | 7.52074 | − | 7.52074i | 0.316120 | − | 0.316120i | ||||
\(567\) | −23.5889 | − | 3.24985i | −0.990643 | − | 0.136481i | ||||
\(568\) | −2.10943 | −0.0885098 | ||||||||
\(569\) | 7.24779 | + | 12.5535i | 0.303843 | + | 0.526272i | 0.977003 | − | 0.213225i | \(-0.0683967\pi\) |
−0.673160 | + | 0.739497i | \(0.735063\pi\) | |||||||
\(570\) | 19.7439 | + | 5.77264i | 0.826980 | + | 0.241789i | ||||
\(571\) | −15.0070 | − | 8.66430i | −0.628024 | − | 0.362590i | 0.151963 | − | 0.988386i | \(-0.451441\pi\) |
−0.779986 | + | 0.625797i | \(0.784774\pi\) | |||||||
\(572\) | −8.30342 | + | 9.81712i | −0.347183 | + | 0.410474i | ||||
\(573\) | 6.61762 | − | 10.8851i | 0.276455 | − | 0.454731i | ||||
\(574\) | −0.912951 | + | 19.6976i | −0.0381059 | + | 0.822164i | ||||
\(575\) | 4.74828i | 0.198017i | ||||||||
\(576\) | −2.52749 | − | 1.61610i | −0.105312 | − | 0.0673377i | ||||
\(577\) | 11.9263 | + | 44.5096i | 0.496498 | + | 1.85296i | 0.521471 | + | 0.853269i | \(0.325383\pi\) |
−0.0249728 | + | 0.999688i | \(0.507950\pi\) | |||||||
\(578\) | −32.1701 | + | 8.61995i | −1.33810 | + | 0.358543i | ||||
\(579\) | 11.6065 | − | 11.0923i | 0.482348 | − | 0.460980i | ||||
\(580\) | 0.495554 | + | 0.495554i | 0.0205767 | + | 0.0205767i | ||||
\(581\) | 29.7195 | − | 6.50509i | 1.23297 | − | 0.269876i | ||||
\(582\) | 24.9630 | + | 15.1763i | 1.03475 | + | 0.629079i | ||||
\(583\) | 6.11976 | − | 22.8393i | 0.253455 | − | 0.945906i | ||||
\(584\) | −2.21929 | + | 3.84392i | −0.0918348 | + | 0.159063i | ||||
\(585\) | −6.57987 | − | 21.2826i | −0.272044 | − | 0.879929i | ||||
\(586\) | 9.51930 | + | 16.4879i | 0.393239 | + | 0.681109i | ||||
\(587\) | −18.9172 | − | 18.9172i | −0.780798 | − | 0.780798i | 0.199168 | − | 0.979965i | \(-0.436176\pi\) |
−0.979965 | + | 0.199168i | \(0.936176\pi\) | |||||||
\(588\) | −4.81420 | − | 11.1276i | −0.198534 | − | 0.458895i | ||||
\(589\) | − | 49.6150i | − | 2.04435i | ||||||
\(590\) | 1.07559 | − | 4.01415i | 0.0442813 | − | 0.165260i | ||||
\(591\) | 32.1899 | + | 9.41156i | 1.32412 | + | 0.387140i | ||||
\(592\) | −7.50999 | + | 2.01230i | −0.308659 | + | 0.0827048i | ||||
\(593\) | −13.9085 | − | 3.72678i | −0.571156 | − | 0.153041i | −0.0383291 | − | 0.999265i | \(-0.512204\pi\) |
−0.532827 | + | 0.846224i | \(0.678870\pi\) | |||||||
\(594\) | −1.25805 | + | 18.4873i | −0.0516184 | + | 0.758542i | ||||
\(595\) | −37.7527 | + | 8.26340i | −1.54771 | + | 0.338767i | ||||
\(596\) | −6.14416 | + | 6.14416i | −0.251675 | + | 0.251675i | ||||
\(597\) | −11.3054 | − | 0.256091i | −0.462698 | − | 0.0104811i | ||||
\(598\) | −22.2101 | − | 4.00618i | −0.908238 | − | 0.163825i | ||||
\(599\) | −21.9183 | − | 12.6546i | −0.895559 | − | 0.517051i | −0.0198021 | − | 0.999804i | \(-0.506304\pi\) |
−0.875757 | + | 0.482753i | \(0.839637\pi\) | |||||||
\(600\) | 0.949877 | − | 0.907797i | 0.0387786 | − | 0.0370607i | ||||
\(601\) | 7.33163 | 0.299063 | 0.149532 | − | 0.988757i | \(-0.452223\pi\) | ||||
0.149532 | + | 0.988757i | \(0.452223\pi\) | |||||||
\(602\) | 0.837922 | − | 0.763690i | 0.0341512 | − | 0.0311257i | ||||
\(603\) | 34.7313 | + | 11.0143i | 1.41437 | + | 0.448536i | ||||
\(604\) | 4.42576 | + | 1.18588i | 0.180082 | + | 0.0482527i | ||||
\(605\) | −0.915275 | − | 3.41585i | −0.0372112 | − | 0.138874i | ||||
\(606\) | −31.8688 | − | 9.31766i | −1.29458 | − | 0.378504i | ||||
\(607\) | −10.8473 | − | 18.7881i | −0.440279 | − | 0.762585i | 0.557431 | − | 0.830223i | \(-0.311787\pi\) |
−0.997710 | + | 0.0676378i | \(0.978454\pi\) | |||||||
\(608\) | −5.76671 | −0.233871 | ||||||||
\(609\) | −1.55570 | − | 0.107457i | −0.0630402 | − | 0.00435437i | ||||
\(610\) | − | 3.65572i | − | 0.148016i | ||||||
\(611\) | 4.28947 | + | 3.62808i | 0.173534 | + | 0.146776i | ||||
\(612\) | 0.963480 | − | 21.2560i | 0.0389464 | − | 0.859221i | ||||
\(613\) | 6.26334 | + | 23.3751i | 0.252974 | + | 0.944111i | 0.969206 | + | 0.246250i | \(0.0791983\pi\) |
−0.716233 | + | 0.697862i | \(0.754135\pi\) | |||||||
\(614\) | −23.6739 | + | 13.6681i | −0.955401 | + | 0.551601i | ||||
\(615\) | −13.8108 | + | 22.7169i | −0.556906 | + | 0.916034i | ||||
\(616\) | −8.38063 | + | 4.33415i | −0.337665 | + | 0.174628i | ||||
\(617\) | 25.9111 | + | 25.9111i | 1.04314 | + | 1.04314i | 0.999026 | + | 0.0441149i | \(0.0140468\pi\) |
0.0441149 | + | 0.999026i | \(0.485953\pi\) | |||||||
\(618\) | 9.62915 | + | 10.0755i | 0.387341 | + | 0.405296i | ||||
\(619\) | −31.6610 | + | 8.48353i | −1.27256 | + | 0.340982i | −0.831012 | − | 0.556255i | \(-0.812238\pi\) |
−0.441550 | + | 0.897237i | \(0.645571\pi\) | |||||||
\(620\) | 15.3451 | + | 8.85952i | 0.616275 | + | 0.355807i | ||||
\(621\) | −29.2063 | + | 14.3125i | −1.17201 | + | 0.574340i | ||||
\(622\) | 4.45523 | + | 4.45523i | 0.178639 | + | 0.178639i | ||||
\(623\) | −4.54801 | + | 4.14510i | −0.182212 | + | 0.166070i | ||||
\(624\) | 3.44480 | + | 5.20897i | 0.137902 | + | 0.208526i | ||||
\(625\) | −10.3158 | − | 17.8675i | −0.412632 | − | 0.714700i | ||||
\(626\) | 22.1362 | − | 5.93138i | 0.884741 | − | 0.237066i | ||||
\(627\) | 17.1064 | + | 31.2425i | 0.683165 | + | 1.24770i | ||||
\(628\) | 1.72903 | − | 0.998255i | 0.0689958 | − | 0.0398347i | ||||
\(629\) | −38.9929 | − | 38.9929i | −1.55475 | − | 1.55475i | ||||
\(630\) | 1.49544 | − | 16.2780i | 0.0595797 | − | 0.648530i | ||||
\(631\) | 28.5560 | + | 28.5560i | 1.13680 | + | 1.13680i | 0.989021 | + | 0.147776i | \(0.0472116\pi\) |
0.147776 | + | 0.989021i | \(0.452788\pi\) | |||||||
\(632\) | 8.65764 | + | 2.31981i | 0.344382 | + | 0.0922770i | ||||
\(633\) | 13.2118 | − | 7.23394i | 0.525121 | − | 0.287523i | ||||
\(634\) | 2.27901 | + | 1.31579i | 0.0905111 | + | 0.0522566i | ||||
\(635\) | −15.6008 | − | 4.18022i | −0.619099 | − | 0.165887i | ||||
\(636\) | −9.81311 | − | 5.96591i | −0.389115 | − | 0.236564i | ||||
\(637\) | −0.234427 | + | 25.2378i | −0.00928834 | + | 0.999957i | ||||
\(638\) | 1.21351i | 0.0480435i | ||||||||
\(639\) | 6.18056 | − | 1.35942i | 0.244499 | − | 0.0537777i | ||||
\(640\) | 1.02973 | − | 1.78355i | 0.0407038 | − | 0.0705011i | ||||
\(641\) | −18.5105 | + | 32.0611i | −0.731121 | + | 1.26634i | 0.225284 | + | 0.974293i | \(0.427669\pi\) |
−0.956405 | + | 0.292045i | \(0.905664\pi\) | |||||||
\(642\) | −1.00783 | − | 1.05454i | −0.0397757 | − | 0.0416195i | ||||
\(643\) | −19.7152 | + | 19.7152i | −0.777493 | + | 0.777493i | −0.979404 | − | 0.201911i | \(-0.935285\pi\) |
0.201911 | + | 0.979404i | \(0.435285\pi\) | |||||||
\(644\) | −13.9433 | − | 8.93552i | −0.549443 | − | 0.352109i | ||||
\(645\) | 1.48503 | − | 0.362076i | 0.0584731 | − | 0.0142567i | ||||
\(646\) | −20.4505 | − | 35.4213i | −0.804614 | − | 1.39363i | ||||
\(647\) | −11.4313 | + | 19.7996i | −0.449412 | + | 0.778404i | −0.998348 | − | 0.0574606i | \(-0.981700\pi\) |
0.548936 | + | 0.835864i | \(0.315033\pi\) | |||||||
\(648\) | 8.44695 | + | 3.10630i | 0.331827 | + | 0.122027i | ||||
\(649\) | 6.23189 | − | 3.59798i | 0.244623 | − | 0.141233i | ||||
\(650\) | −2.57383 | + | 0.925373i | −0.100954 | + | 0.0362961i | ||||
\(651\) | −38.6963 | + | 7.55592i | −1.51663 | + | 0.296140i | ||||
\(652\) | 11.9616 | − | 11.9616i | 0.468453 | − | 0.468453i | ||||
\(653\) | −17.2294 | + | 9.94739i | −0.674238 | + | 0.389271i | −0.797680 | − | 0.603080i | \(-0.793940\pi\) |
0.123443 | + | 0.992352i | \(0.460606\pi\) | |||||||
\(654\) | 20.1402 | − | 11.0275i | 0.787546 | − | 0.431211i | ||||
\(655\) | 7.32593 | + | 27.3408i | 0.286248 | + | 1.06829i | ||||
\(656\) | 1.92898 | − | 7.19905i | 0.0753140 | − | 0.281076i | ||||
\(657\) | 4.02523 | − | 12.6928i | 0.157039 | − | 0.495192i | ||||
\(658\) | 1.89376 | + | 3.66182i | 0.0738263 | + | 0.142753i | ||||
\(659\) | − | 26.2057i | − | 1.02083i | −0.859929 | − | 0.510414i | \(-0.829492\pi\) | ||
0.859929 | − | 0.510414i | \(-0.170508\pi\) | |||||||
\(660\) | −12.7174 | − | 0.288077i | −0.495025 | − | 0.0112134i | ||||
\(661\) | −16.2354 | + | 4.35027i | −0.631485 | + | 0.169206i | −0.560343 | − | 0.828260i | \(-0.689331\pi\) |
−0.0711414 | + | 0.997466i | \(0.522664\pi\) | |||||||
\(662\) | 10.3243 | − | 17.8823i | 0.401267 | − | 0.695015i | ||||
\(663\) | −19.7791 | + | 39.6318i | −0.768158 | + | 1.53917i | ||||
\(664\) | −11.4989 | −0.446242 | ||||||||
\(665\) | −14.4342 | − | 27.9104i | −0.559735 | − | 1.08232i | ||||
\(666\) | 20.7072 | − | 10.7357i | 0.802387 | − | 0.416001i | ||||
\(667\) | −1.84464 | + | 1.06501i | −0.0714249 | + | 0.0412372i | ||||
\(668\) | −7.10633 | + | 1.90414i | −0.274952 | + | 0.0736732i | ||||
\(669\) | −1.88746 | + | 6.45560i | −0.0729734 | + | 0.249588i | ||||
\(670\) | −6.47381 | + | 24.1606i | −0.250105 | + | 0.933405i | ||||
\(671\) | 4.47607 | − | 4.47607i | 0.172797 | − | 0.172797i | ||||
\(672\) | 0.878219 | + | 4.49764i | 0.0338780 | + | 0.173500i | ||||
\(673\) | 22.4111i | 0.863885i | 0.901901 | + | 0.431942i | \(0.142172\pi\) | ||||
−0.901901 | + | 0.431942i | \(0.857828\pi\) | |||||||
\(674\) | 33.1542 | + | 8.88364i | 1.27705 | + | 0.342185i | ||||
\(675\) | −2.19808 | + | 3.27196i | −0.0846041 | + | 0.125938i | ||||
\(676\) | −2.15686 | − | 12.8198i | −0.0829563 | − | 0.493070i | ||||
\(677\) | 37.5970 | − | 21.7066i | 1.44497 | − | 0.834253i | 0.446793 | − | 0.894637i | \(-0.352566\pi\) |
0.998175 | + | 0.0603842i | \(0.0192326\pi\) | |||||||
\(678\) | 3.83938 | − | 0.936106i | 0.147450 | − | 0.0359509i | ||||
\(679\) | −9.54185 | − | 43.5934i | −0.366183 | − | 1.67296i | ||||
\(680\) | 14.6070 | 0.560152 | ||||||||
\(681\) | 18.9069 | − | 18.0693i | 0.724513 | − | 0.692417i | ||||
\(682\) | 7.94100 | + | 29.6362i | 0.304077 | + | 1.13483i | ||||
\(683\) | 6.09725 | + | 22.7552i | 0.233305 | + | 0.870705i | 0.978906 | + | 0.204312i | \(0.0654958\pi\) |
−0.745601 | + | 0.666392i | \(0.767838\pi\) | |||||||
\(684\) | 16.8963 | − | 3.71634i | 0.646045 | − | 0.142098i | ||||
\(685\) | 24.0429 | 0.918632 | ||||||||
\(686\) | −7.22483 | + | 17.0529i | −0.275845 | + | 0.651083i | ||||
\(687\) | −0.499055 | − | 2.04684i | −0.0190401 | − | 0.0780918i | ||||
\(688\) | −0.371099 | + | 0.214254i | −0.0141480 | + | 0.00816836i | ||||
\(689\) | 13.6352 | + | 19.6367i | 0.519461 | + | 0.748099i | ||||
\(690\) | −10.7232 | − | 19.5844i | −0.408224 | − | 0.745564i | ||||
\(691\) | 2.78278 | + | 0.745645i | 0.105862 | + | 0.0283657i | 0.311361 | − | 0.950292i | \(-0.399215\pi\) |
−0.205499 | + | 0.978657i | \(0.565882\pi\) | |||||||
\(692\) | − | 15.6895i | − | 0.596426i | ||||||
\(693\) | 21.7618 | − | 18.0998i | 0.826663 | − | 0.687554i | ||||
\(694\) | 9.55751 | − | 9.55751i | 0.362798 | − | 0.362798i | ||||
\(695\) | −11.4096 | + | 42.5813i | −0.432792 | + | 1.61520i | ||||
\(696\) | 0.565717 | + | 0.165402i | 0.0214435 | + | 0.00626955i | ||||
\(697\) | 51.0599 | − | 13.6815i | 1.93403 | − | 0.518223i | ||||
\(698\) | 7.45512 | − | 4.30422i | 0.282181 | − | 0.162917i | ||||
\(699\) | −9.08291 | − | 5.52199i | −0.343547 | − | 0.208861i | ||||
\(700\) | −2.00488 | − | 0.0929227i | −0.0757773 | − | 0.00351215i | ||||
\(701\) | −26.3344 | −0.994636 | −0.497318 | − | 0.867568i | \(-0.665682\pi\) | ||||
−0.497318 | + | 0.867568i | \(0.665682\pi\) | |||||||
\(702\) | −13.4500 | − | 13.0421i | −0.507639 | − | 0.492243i | ||||
\(703\) | 22.4178 | − | 38.8289i | 0.845505 | − | 1.46446i | ||||
\(704\) | 3.44459 | − | 0.922976i | 0.129823 | − | 0.0347860i | ||||
\(705\) | −0.125872 | + | 5.55673i | −0.00474060 | + | 0.209278i | ||||
\(706\) | 23.8878i | 0.899031i | ||||||||
\(707\) | 23.2984 | + | 45.0504i | 0.876227 | + | 1.69429i | ||||
\(708\) | −0.827904 | − | 3.39559i | −0.0311145 | − | 0.127614i | ||||
\(709\) | 4.86834 | − | 18.1689i | 0.182834 | − | 0.682347i | −0.812249 | − | 0.583310i | \(-0.801757\pi\) |
0.995084 | − | 0.0990370i | \(-0.0315762\pi\) | |||||||
\(710\) | 1.12439 | + | 4.19628i | 0.0421976 | + | 0.157484i | ||||
\(711\) | −26.8616 | − | 1.21757i | −1.00739 | − | 0.0456624i | ||||
\(712\) | 2.01423 | − | 1.16291i | 0.0754863 | − | 0.0435820i | ||||
\(713\) | −38.0804 | + | 38.0804i | −1.42612 | + | 1.42612i | ||||
\(714\) | −24.5117 | + | 21.3443i | −0.917328 | + | 0.798791i | ||||
\(715\) | 23.9551 | + | 11.2851i | 0.895870 | + | 0.422040i | ||||
\(716\) | 2.94023 | − | 1.69754i | 0.109882 | − | 0.0634401i | ||||
\(717\) | 5.95039 | + | 1.73975i | 0.222221 | + | 0.0649722i | ||||
\(718\) | 3.79766 | − | 6.57774i | 0.141727 | − | 0.245479i | ||||
\(719\) | 10.3763 | + | 17.9723i | 0.386971 | + | 0.670253i | 0.992040 | − | 0.125920i | \(-0.0401881\pi\) |
−0.605070 | + | 0.796172i | \(0.706855\pi\) | |||||||
\(720\) | −1.86768 | + | 5.88935i | −0.0696044 | + | 0.219483i | ||||
\(721\) | 0.985646 | − | 21.2661i | 0.0367074 | − | 0.791991i | ||||
\(722\) | 10.0798 | − | 10.0798i | 0.375131 | − | 0.375131i | ||||
\(723\) | −13.6411 | + | 13.0368i | −0.507319 | + | 0.484844i | ||||
\(724\) | −10.7054 | + | 18.5422i | −0.397862 | + | 0.689116i | ||||
\(725\) | −0.129070 | + | 0.223556i | −0.00479354 | + | 0.00830266i | ||||
\(726\) | −2.05487 | − | 2.15012i | −0.0762632 | − | 0.0797983i | ||||
\(727\) | 0.874759i | 0.0324430i | 0.999868 | + | 0.0162215i | \(0.00516369\pi\) | ||||
−0.999868 | + | 0.0162215i | \(0.994836\pi\) | |||||||
\(728\) | 2.12619 | − | 9.29943i | 0.0788017 | − | 0.344660i | ||||
\(729\) | −26.7511 | − | 3.65774i | −0.990781 | − | 0.135472i | ||||
\(730\) | 8.82963 | + | 2.36589i | 0.326799 | + | 0.0875656i | ||||
\(731\) | −2.63206 | − | 1.51962i | −0.0973501 | − | 0.0562051i | ||||
\(732\) | −1.47657 | − | 2.69675i | −0.0545757 | − | 0.0996748i | ||||
\(733\) | −25.1633 | − | 6.74247i | −0.929426 | − | 0.249039i | −0.237816 | − | 0.971310i | \(-0.576432\pi\) |
−0.691610 | + | 0.722271i | \(0.743098\pi\) | |||||||
\(734\) | −8.63769 | − | 8.63769i | −0.318823 | − | 0.318823i | ||||
\(735\) | −19.5700 | + | 15.5082i | −0.721849 | + | 0.572029i | ||||
\(736\) | 4.42605 | + | 4.42605i | 0.163146 | + | 0.163146i | ||||
\(737\) | −37.5088 | + | 21.6557i | −1.38165 | + | 0.797699i | ||||
\(738\) | −1.01244 | + | 22.3361i | −0.0372684 | + | 0.822202i | ||||
\(739\) | 4.71934 | − | 1.26454i | 0.173604 | − | 0.0465169i | −0.170970 | − | 0.985276i | \(-0.554690\pi\) |
0.344574 | + | 0.938759i | \(0.388023\pi\) | |||||||
\(740\) | 8.00610 | + | 13.8670i | 0.294310 | + | 0.509760i | ||||
\(741\) | −35.2873 | − | 7.19373i | −1.29631 | − | 0.264268i | ||||
\(742\) | 3.75096 | + | 17.1369i | 0.137702 | + | 0.629114i | ||||
\(743\) | −1.07143 | − | 1.07143i | −0.0393071 | − | 0.0393071i | 0.687180 | − | 0.726487i | \(-0.258848\pi\) |
−0.726487 | + | 0.687180i | \(0.758848\pi\) | |||||||
\(744\) | 14.8982 | + | 0.337476i | 0.546195 | + | 0.0123725i | ||||
\(745\) | 15.4976 | + | 8.94753i | 0.567787 | + | 0.327812i | ||||
\(746\) | 5.08252 | − | 1.36186i | 0.186084 | − | 0.0498611i | ||||
\(747\) | 33.6912 | − | 7.41039i | 1.23270 | − | 0.271132i | ||||
\(748\) | 17.8848 | + | 17.8848i | 0.653934 | + | 0.653934i | ||||
\(749\) | −0.103162 | + | 2.22580i | −0.00376945 | + | 0.0813288i | ||||
\(750\) | −17.5523 | − | 10.6710i | −0.640919 | − | 0.389649i | ||||
\(751\) | 11.9427 | − | 6.89510i | 0.435794 | − | 0.251606i | −0.266018 | − | 0.963968i | \(-0.585708\pi\) |
0.701812 | + | 0.712362i | \(0.252375\pi\) | |||||||
\(752\) | −0.403284 | − | 1.50508i | −0.0147062 | − | 0.0548844i | ||||
\(753\) | 17.3049 | − | 9.47507i | 0.630625 | − | 0.345291i | ||||
\(754\) | −0.936785 | − | 0.792342i | −0.0341157 | − | 0.0288554i | ||||
\(755\) | − | 9.43625i | − | 0.343420i | ||||||
\(756\) | −5.47164 | − | 12.6119i | −0.199001 | − | 0.458692i | ||||
\(757\) | 19.3286 | 0.702509 | 0.351254 | − | 0.936280i | \(-0.385755\pi\) | ||||
0.351254 | + | 0.936280i | \(0.385755\pi\) | |||||||
\(758\) | 7.52949 | + | 13.0415i | 0.273484 | + | 0.473687i | ||||
\(759\) | 10.8497 | − | 37.1086i | 0.393818 | − | 1.34696i | ||||
\(760\) | 3.07383 | + | 11.4717i | 0.111500 | + | 0.416122i | ||||
\(761\) | 20.7574 | + | 5.56192i | 0.752455 | + | 0.201620i | 0.614607 | − | 0.788834i | \(-0.289315\pi\) |
0.137848 | + | 0.990453i | \(0.455981\pi\) | |||||||
\(762\) | −13.1968 | + | 3.21761i | −0.478070 | + | 0.116562i | ||||
\(763\) | −33.4227 | − | 10.6368i | −1.20998 | − | 0.385077i | ||||
\(764\) | 7.35477 | 0.266086 | ||||||||
\(765\) | −42.7979 | + | 9.41342i | −1.54736 | + | 0.340343i | ||||
\(766\) | −13.6297 | − | 7.86909i | −0.492460 | − | 0.284322i | ||||
\(767\) | −1.29150 | + | 7.16001i | −0.0466333 | + | 0.258533i | ||||
\(768\) | 0.0392246 | − | 1.73161i | 0.00141540 | − | 0.0624840i | ||||
\(769\) | 4.93994 | − | 4.93994i | 0.178139 | − | 0.178139i | −0.612405 | − | 0.790544i | \(-0.709798\pi\) |
0.790544 | + | 0.612405i | \(0.209798\pi\) | |||||||
\(770\) | 13.0890 | + | 14.3613i | 0.471696 | + | 0.517546i | ||||
\(771\) | −8.94329 | − | 5.43710i | −0.322085 | − | 0.195812i | ||||
\(772\) | 8.95326 | + | 2.39902i | 0.322235 | + | 0.0863426i | ||||
\(773\) | 14.0402 | − | 3.76207i | 0.504992 | − | 0.135312i | 0.00267596 | − | 0.999996i | \(-0.499148\pi\) |
0.502316 | + | 0.864684i | \(0.332482\pi\) | |||||||
\(774\) | 0.949232 | − | 0.866911i | 0.0341194 | − | 0.0311605i | ||||
\(775\) | −1.68922 | + | 6.30426i | −0.0606786 | + | 0.226456i | ||||
\(776\) | 16.8669i | 0.605485i | ||||||||
\(777\) | −33.6978 | − | 11.5711i | −1.20890 | − | 0.415110i | ||||
\(778\) | −11.1415 | − | 11.1415i | −0.399442 | − | 0.399442i | ||||
\(779\) | 21.4897 | + | 37.2212i | 0.769947 | + | 1.33359i | ||||
\(780\) | 8.52599 | − | 9.62925i | 0.305280 | − | 0.344783i | ||||
\(781\) | −3.76123 | + | 6.51464i | −0.134587 | + | 0.233112i | ||||
\(782\) | −11.4903 | + | 42.8825i | −0.410894 | + | 1.53348i | ||||
\(783\) | −1.76412 | − | 0.120048i | −0.0630446 | − | 0.00429016i | ||||
\(784\) | 4.04573 | − | 5.71245i | 0.144490 | − | 0.204016i | ||||
\(785\) | −2.90745 | − | 2.90745i | −0.103771 | − | 0.103771i | ||||
\(786\) | 16.4473 | + | 17.2097i | 0.586656 | + | 0.613850i | ||||
\(787\) | 20.9168 | − | 5.60464i | 0.745603 | − | 0.199784i | 0.134036 | − | 0.990976i | \(-0.457206\pi\) |
0.611567 | + | 0.791193i | \(0.290539\pi\) | |||||||
\(788\) | 5.01149 | + | 18.7031i | 0.178527 | + | 0.666272i | ||||
\(789\) | −23.9307 | − | 0.542082i | −0.851957 | − | 0.0192986i | ||||
\(790\) | − | 18.4591i | − | 0.656746i | ||||||
\(791\) | −5.08246 | − | 3.25708i | −0.180711 | − | 0.115808i | ||||
\(792\) | −9.49773 | + | 4.92414i | −0.337487 | + | 0.174972i | ||||
\(793\) | 0.532782 | + | 6.37793i | 0.0189196 | + | 0.226487i | ||||
\(794\) | 8.75233 | + | 5.05316i | 0.310608 | + | 0.179330i | ||||
\(795\) | −6.63728 | + | 22.7012i | −0.235400 | + | 0.805128i | ||||
\(796\) | −3.26442 | − | 5.65413i | −0.115704 | − | 0.200405i | ||||
\(797\) | −37.9629 | −1.34472 | −0.672358 | − | 0.740226i | \(-0.734718\pi\) | ||||
−0.672358 | + | 0.740226i | \(0.734718\pi\) | |||||||
\(798\) | −21.9210 | − | 14.7588i | −0.775996 | − | 0.522457i | ||||
\(799\) | 7.81456 | − | 7.81456i | 0.276459 | − | 0.276459i | ||||
\(800\) | 0.732739 | + | 0.196337i | 0.0259062 | + | 0.00694155i | ||||
\(801\) | −5.15217 | + | 4.70536i | −0.182043 | + | 0.166256i | ||||
\(802\) | −16.5534 | + | 28.6713i | −0.584521 | + | 1.01242i | ||||
\(803\) | 7.91422 | + | 13.7078i | 0.279287 | + | 0.483739i | ||||
\(804\) | 4.98303 | + | 20.4376i | 0.175738 | + | 0.720778i | ||||
\(805\) | −10.3432 | + | 32.5002i | −0.364549 | + | 1.14548i | ||||
\(806\) | −28.0629 | − | 13.2203i | −0.988475 | − | 0.465665i | ||||
\(807\) | −37.5254 | − | 0.850031i | −1.32096 | − | 0.0299225i | ||||
\(808\) | −4.96150 | − | 18.5166i | −0.174545 | − | 0.651410i | ||||
\(809\) | 28.4508 | + | 16.4261i | 1.00028 | + | 0.577510i | 0.908330 | − | 0.418254i | \(-0.137358\pi\) |
0.0919465 | + | 0.995764i | \(0.470691\pi\) | |||||||
\(810\) | 1.67687 | − | 18.4592i | 0.0589191 | − | 0.648591i | ||||
\(811\) | −1.93172 | + | 1.93172i | −0.0678318 | + | 0.0678318i | −0.740209 | − | 0.672377i | \(-0.765273\pi\) |
0.672377 | + | 0.740209i | \(0.265273\pi\) | |||||||
\(812\) | −0.413581 | − | 0.799710i | −0.0145138 | − | 0.0280643i | ||||
\(813\) | 1.07492 | + | 4.40870i | 0.0376989 | + | 0.154620i | ||||
\(814\) | −7.17606 | + | 26.7814i | −0.251521 | + | 0.938688i | ||||
\(815\) | −30.1711 | − | 17.4193i | −1.05685 | − | 0.610171i | ||||
\(816\) | 10.7753 | − | 5.89986i | 0.377210 | − | 0.206536i | ||||
\(817\) | 0.639564 | − | 2.38688i | 0.0223755 | − | 0.0835065i | ||||
\(818\) | −22.2728 | −0.778750 | ||||||||
\(819\) | −0.236667 | + | 28.6172i | −0.00826980 | + | 0.999966i | ||||
\(820\) | −15.3492 | −0.536018 | ||||||||
\(821\) | −4.23278 | + | 15.7970i | −0.147725 | + | 0.551318i | 0.851894 | + | 0.523715i | \(0.175454\pi\) |
−0.999619 | + | 0.0276033i | \(0.991212\pi\) | |||||||
\(822\) | 17.7359 | − | 9.71109i | 0.618612 | − | 0.338713i | ||||
\(823\) | −9.88506 | − | 5.70714i | −0.344572 | − | 0.198939i | 0.317720 | − | 0.948185i | \(-0.397083\pi\) |
−0.662292 | + | 0.749246i | \(0.730416\pi\) | |||||||
\(824\) | −2.08258 | + | 7.77228i | −0.0725500 | + | 0.270760i | ||||
\(825\) | −1.10990 | − | 4.55219i | −0.0386419 | − | 0.158487i | ||||
\(826\) | −2.88060 | + | 4.49499i | −0.100229 | + | 0.156401i | ||||
\(827\) | 8.33815 | − | 8.33815i | 0.289946 | − | 0.289946i | −0.547113 | − | 0.837059i | \(-0.684273\pi\) |
0.837059 | + | 0.547113i | \(0.184273\pi\) | |||||||
\(828\) | −15.8205 | − | 10.1158i | −0.549801 | − | 0.351549i | ||||
\(829\) | 27.7331 | + | 16.0117i | 0.963210 | + | 0.556109i | 0.897159 | − | 0.441707i | \(-0.145627\pi\) |
0.0660503 | + | 0.997816i | \(0.478960\pi\) | |||||||
\(830\) | 6.12923 | + | 22.8746i | 0.212749 | + | 0.793989i | ||||
\(831\) | −2.78607 | − | 0.0631104i | −0.0966477 | − | 0.00218928i | ||||
\(832\) | −1.53659 | + | 3.26173i | −0.0532715 | + | 0.113080i | ||||
\(833\) | 49.4353 | + | 4.59235i | 1.71283 | + | 0.159115i | ||||
\(834\) | 8.78224 | + | 36.0198i | 0.304104 | + | 1.24726i | ||||
\(835\) | 7.57578 | + | 13.1216i | 0.262171 | + | 0.454093i | ||||
\(836\) | −10.2824 | + | 17.8096i | −0.355623 | + | 0.615957i | ||||
\(837\) | −43.8687 | + | 8.61230i | −1.51632 | + | 0.297685i | ||||
\(838\) | −2.06838 | − | 0.554221i | −0.0714510 | − | 0.0191452i | ||||
\(839\) | 2.99573 | − | 2.99573i | 0.103424 | − | 0.103424i | −0.653501 | − | 0.756925i | \(-0.726701\pi\) |
0.756925 | + | 0.653501i | \(0.226701\pi\) | |||||||
\(840\) | 8.47901 | − | 4.14441i | 0.292553 | − | 0.142996i | ||||
\(841\) | 28.8842 | 0.996007 | ||||||||
\(842\) | 3.30591 | + | 5.72600i | 0.113929 | + | 0.197331i | ||||
\(843\) | 4.98051 | − | 17.0346i | 0.171538 | − | 0.586703i | ||||
\(844\) | 7.53128 | + | 4.34819i | 0.259238 | + | 0.149671i | ||||
\(845\) | −24.3527 | + | 11.1240i | −0.837760 | + | 0.382677i | ||||
\(846\) | 2.15155 | + | 4.14992i | 0.0739717 | + | 0.142677i | ||||
\(847\) | −0.210337 | + | 4.53819i | −0.00722727 | + | 0.155934i | ||||
\(848\) | − | 6.63047i | − | 0.227691i | ||||||
\(849\) | −18.4173 | − | 0.417190i | −0.632079 | − | 0.0143179i | ||||
\(850\) | 1.39254 | + | 5.19702i | 0.0477636 | + | 0.178256i | ||||
\(851\) | −47.0079 | + | 12.5957i | −1.61141 | + | 0.431776i | ||||
\(852\) | 2.52435 | + | 2.64136i | 0.0864827 | + | 0.0904915i | ||||
\(853\) | −11.0400 | − | 11.0400i | −0.378003 | − | 0.378003i | 0.492378 | − | 0.870381i | \(-0.336128\pi\) |
−0.870381 | + | 0.492378i | \(0.836128\pi\) | |||||||
\(854\) | −1.42425 | + | 4.47525i | −0.0487368 | + | 0.153140i | ||||
\(855\) | −16.3991 | − | 31.6307i | −0.560837 | − | 1.08175i | ||||
\(856\) | 0.217971 | − | 0.813479i | 0.00745010 | − | 0.0278041i | ||||
\(857\) | −11.9240 | + | 20.6529i | −0.407315 | + | 0.705491i | −0.994588 | − | 0.103899i | \(-0.966868\pi\) |
0.587273 | + | 0.809389i | \(0.300202\pi\) | |||||||
\(858\) | 22.2293 | − | 1.35083i | 0.758897 | − | 0.0461167i | ||||
\(859\) | 3.71653 | + | 6.43722i | 0.126806 | + | 0.219635i | 0.922438 | − | 0.386146i | \(-0.126194\pi\) |
−0.795631 | + | 0.605781i | \(0.792861\pi\) | |||||||
\(860\) | 0.624022 | + | 0.624022i | 0.0212790 | + | 0.0212790i | ||||
\(861\) | 25.7573 | − | 22.4289i | 0.877805 | − | 0.764375i | ||||
\(862\) | − | 22.4510i | − | 0.764684i | ||||||
\(863\) | 10.4544 | − | 39.0162i | 0.355871 | − | 1.32813i | −0.523514 | − | 0.852017i | \(-0.675379\pi\) |
0.879385 | − | 0.476111i | \(-0.157954\pi\) | |||||||
\(864\) | 1.00100 | + | 5.09882i | 0.0340547 | + | 0.173465i | ||||
\(865\) | −31.2111 | + | 8.36298i | −1.06121 | + | 0.284350i | ||||
\(866\) | 21.1966 | + | 5.67961i | 0.720289 | + | 0.193001i | ||||
\(867\) | 49.2914 | + | 29.9669i | 1.67402 | + | 1.01773i | ||||
\(868\) | −15.3335 | − | 16.8240i | −0.520454 | − | 0.571043i | ||||
\(869\) | 22.6014 | − | 22.6014i | 0.766699 | − | 0.766699i | ||||
\(870\) | 0.0274893 | − | 1.21354i | 0.000931975 | − | 0.0411429i | ||||
\(871\) | 7.77334 | − | 43.0951i | 0.263390 | − | 1.46022i | ||||
\(872\) | 11.4808 | + | 6.62845i | 0.388789 | + | 0.224468i | ||||
\(873\) | −10.8698 | − | 49.4193i | −0.367886 | − | 1.67259i | ||||
\(874\) | −36.0961 | −1.22097 | ||||||||
\(875\) | 6.70918 | + | 30.6520i | 0.226812 | + | 1.03623i | ||||
\(876\) | 7.46904 | − | 1.82108i | 0.252355 | − | 0.0615286i | ||||
\(877\) | 24.5529 | + | 6.57892i | 0.829091 | + | 0.222154i | 0.648317 | − | 0.761370i | \(-0.275473\pi\) |
0.180774 | + | 0.983525i | \(0.442140\pi\) | |||||||
\(878\) | −1.72287 | − | 6.42984i | −0.0581441 | − | 0.216997i | ||||
\(879\) | 9.25392 | − | 31.6507i | 0.312127 | − | 1.06755i | ||||
\(880\) | −3.67214 | − | 6.36034i | −0.123788 | − | 0.214407i | ||||
\(881\) | 28.5207 | 0.960888 | 0.480444 | − | 0.877025i | \(-0.340476\pi\) | ||||
0.480444 | + | 0.877025i | \(0.340476\pi\) | |||||||
\(882\) | −8.17249 | + | 19.3445i | −0.275182 | + | 0.651364i | ||||
\(883\) | − | 3.85564i | − | 0.129753i | −0.997893 | − | 0.0648763i | \(-0.979335\pi\) | ||
0.997893 | − | 0.0648763i | \(-0.0206653\pi\) | |||||||
\(884\) | −25.4840 | + | 2.12881i | −0.857118 | + | 0.0715996i | ||||
\(885\) | −6.31354 | + | 3.45690i | −0.212227 | + | 0.116202i | ||||
\(886\) | −3.58638 | − | 13.3846i | −0.120487 | − | 0.449663i | ||||
\(887\) | −10.1210 | + | 5.84334i | −0.339829 | + | 0.196200i | −0.660196 | − | 0.751093i | \(-0.729527\pi\) |
0.320368 | + | 0.947293i | \(0.396194\pi\) | |||||||
\(888\) | 11.5069 | + | 6.99565i | 0.386146 | + | 0.234759i | ||||
\(889\) | 17.4696 | + | 11.1953i | 0.585910 | + | 0.375479i | ||||
\(890\) | −3.38702 | − | 3.38702i | −0.113533 | − | 0.113533i | ||||
\(891\) | 24.6547 | − | 20.5483i | 0.825962 | − | 0.688395i | ||||
\(892\) | −3.75086 | + | 1.00504i | −0.125588 | + | 0.0336512i | ||||
\(893\) | 7.78168 | + | 4.49276i | 0.260404 | + | 0.150344i | ||||
\(894\) | 15.0462 | + | 0.340829i | 0.503220 | + | 0.0113990i | ||||
\(895\) | −4.94414 | − | 4.94414i | −0.165264 | − | 0.165264i | ||||
\(896\) | −1.95544 | + | 1.78221i | −0.0653266 | + | 0.0595393i | ||||
\(897\) | 21.5623 | + | 32.6049i | 0.719944 | + | 1.08865i | ||||
\(898\) | 0.537898 | + | 0.931666i | 0.0179499 | + | 0.0310901i | ||||
\(899\) | −2.82800 | + | 0.757759i | −0.0943190 | + | 0.0252727i | ||||
\(900\) | −2.27343 | − | 0.103049i | −0.0757809 | − | 0.00343496i | ||||
\(901\) | 40.7268 | − | 23.5136i | 1.35681 | − | 0.783352i | ||||
\(902\) | −18.7936 | − | 18.7936i | −0.625759 | − | 0.625759i | ||||
\(903\) | −1.95900 | − | 0.135314i | −0.0651916 | − | 0.00450297i | ||||
\(904\) | 1.61334 | + | 1.61334i | 0.0536587 | + | 0.0536587i | ||||
\(905\) | 42.5922 | + | 11.4126i | 1.41581 | + | 0.379366i | ||||
\(906\) | −3.81137 | − | 6.96093i | −0.126624 | − | 0.231261i | ||||
\(907\) | −45.8562 | − | 26.4751i | −1.52263 | − | 0.879090i | −0.999642 | − | 0.0267491i | \(-0.991484\pi\) |
−0.522986 | − | 0.852341i | \(-0.675182\pi\) | |||||||
\(908\) | 14.5848 | + | 3.90799i | 0.484015 | + | 0.129691i | ||||
\(909\) | 26.4699 | + | 51.0554i | 0.877952 | + | 1.69340i | ||||
\(910\) | −19.6326 | + | 0.727262i | −0.650815 | + | 0.0241085i | ||||
\(911\) | 43.7366i | 1.44906i | 0.689244 | + | 0.724529i | \(0.257943\pi\) | ||||
−0.689244 | + | 0.724529i | \(0.742057\pi\) | |||||||
\(912\) | 6.90100 | + | 7.22089i | 0.228515 | + | 0.239107i | ||||
\(913\) | −20.5031 | + | 35.5124i | −0.678553 | + | 1.17529i | ||||
\(914\) | 9.17460 | − | 15.8909i | 0.303469 | − | 0.525623i | ||||
\(915\) | −4.57757 | + | 4.37478i | −0.151330 | + | 0.144626i | ||||
\(916\) | 0.860097 | − | 0.860097i | 0.0284184 | − | 0.0284184i | ||||
\(917\) | 1.68356 | − | 36.3241i | 0.0555959 | − | 1.19953i | ||||
\(918\) | −27.7690 | + | 24.2305i | −0.916514 | + | 0.799724i | ||||
\(919\) | 2.43706 | + | 4.22111i | 0.0803912 | + | 0.139242i | 0.903418 | − | 0.428761i | \(-0.141050\pi\) |
−0.823027 | + | 0.568003i | \(0.807716\pi\) | |||||||
\(920\) | 6.44550 | − | 11.1639i | 0.212502 | − | 0.368064i | ||||
\(921\) | 45.4452 | + | 13.2871i | 1.49747 | + | 0.437824i | ||||
\(922\) | 15.5310 | − | 8.96685i | 0.511487 | − | 0.295307i | ||||
\(923\) | −2.57322 | − | 7.15714i | −0.0846986 | − | 0.235580i | ||||
\(924\) | 15.4561 | + | 5.30729i | 0.508470 | + | 0.174597i | ||||
\(925\) | −4.17048 | + | 4.17048i | −0.137124 | + | 0.137124i | ||||
\(926\) | −22.1893 | + | 12.8110i | −0.729186 | + | 0.420996i | ||||
\(927\) | 1.09306 | − | 24.1146i | 0.0359006 | − | 0.792028i | ||||
\(928\) | 0.0880738 | + | 0.328696i | 0.00289116 | + | 0.0107900i | ||||
\(929\) | −6.00546 | + | 22.4127i | −0.197033 | + | 0.735336i | 0.794699 | + | 0.607004i | \(0.207629\pi\) |
−0.991731 | + | 0.128332i | \(0.959038\pi\) | |||||||
\(930\) | −7.26985 | − | 29.8168i | −0.238388 | − | 0.977731i | ||||
\(931\) | 6.79633 | + | 39.7908i | 0.222741 | + | 1.30409i | ||||
\(932\) | − | 6.13709i | − | 0.201027i | ||||||
\(933\) | 0.247140 | − | 10.9102i | 0.00809101 | − | 0.357185i | ||||
\(934\) | 24.5606 | − | 6.58099i | 0.803647 | − | 0.215336i | ||||
\(935\) | 26.0450 | − | 45.1113i | 0.851764 | − | 1.47530i | ||||
\(936\) | 2.40013 | − | 10.5470i | 0.0784506 | − | 0.344740i | ||||
\(937\) | 30.5321 | 0.997439 | 0.498719 | − | 0.866763i | \(-0.333804\pi\) | ||||
0.498719 | + | 0.866763i | \(0.333804\pi\) | |||||||
\(938\) | 17.3379 | − | 27.0547i | 0.566103 | − | 0.883366i | ||||
\(939\) | −33.9174 | − | 20.6202i | −1.10685 | − | 0.672914i | ||||
\(940\) | −2.77908 | + | 1.60450i | −0.0906434 | + | 0.0523330i | ||||
\(941\) | 46.4035 | − | 12.4338i | 1.51271 | − | 0.405330i | 0.595377 | − | 0.803447i | \(-0.297003\pi\) |
0.917335 | + | 0.398117i | \(0.130336\pi\) | |||||||
\(942\) | −3.31910 | − | 0.970425i | −0.108142 | − | 0.0316182i | ||||
\(943\) | 12.0742 | − | 45.0616i | 0.393191 | − | 1.46741i | ||||
\(944\) | 1.42685 | − | 1.42685i | 0.0464402 | − | 0.0464402i | ||||
\(945\) | −22.1723 | + | 17.6072i | −0.721266 | + | 0.572764i | ||||
\(946\) | 1.52811i | 0.0496830i | ||||||||
\(947\) | 47.6710 | + | 12.7734i | 1.54910 | + | 0.415080i | 0.929193 | − | 0.369595i | \(-0.120503\pi\) |
0.619907 | + | 0.784675i | \(0.287170\pi\) | |||||||
\(948\) | −7.45577 | − | 13.6169i | −0.242152 | − | 0.442257i | ||||
\(949\) | −15.7494 | − | 2.84081i | −0.511246 | − | 0.0922168i | ||||
\(950\) | −3.78847 | + | 2.18728i | −0.122914 | + | 0.0709646i | ||||
\(951\) | −1.07970 | − | 4.42830i | −0.0350115 | − | 0.143597i | ||||
\(952\) | −17.8815 | − | 5.69079i | −0.579544 | − | 0.184440i | ||||
\(953\) | 36.8202 | 1.19272 | 0.596362 | − | 0.802716i | \(-0.296612\pi\) | ||||
0.596362 | + | 0.802716i | \(0.296612\pi\) | |||||||
\(954\) | 4.27298 | + | 19.4270i | 0.138343 | + | 0.628973i | ||||
\(955\) | −3.92031 | − | 14.6308i | −0.126858 | − | 0.473442i | ||||
\(956\) | 0.926387 | + | 3.45732i | 0.0299615 | + | 0.111818i | ||||
\(957\) | 1.51952 | − | 1.45221i | 0.0491192 | − | 0.0469431i | ||||
\(958\) | 13.8531 | 0.447573 | ||||||||
\(959\) | −29.4328 | − | 9.36697i | −0.950434 | − | 0.302475i | ||||
\(960\) | −3.46558 | + | 0.844969i | −0.111851 | + | 0.0272712i | ||||
\(961\) | −37.2594 | + | 21.5117i | −1.20192 | + | 0.693927i | ||||
\(962\) | −15.9887 | − | 23.0261i | −0.515497 | − | 0.742391i | ||||
\(963\) | −0.114404 | + | 2.52393i | −0.00368661 | + | 0.0813326i | ||||
\(964\) | −10.5228 | − | 2.81958i | −0.338917 | − | 0.0908125i | ||||
\(965\) | − | 19.0894i | − | 0.614510i | ||||||
\(966\) | 5.49711 | + | 28.1524i | 0.176867 | + | 0.905789i | ||||
\(967\) | −6.82936 | + | 6.82936i | −0.219617 | + | 0.219617i | −0.808337 | − | 0.588720i | \(-0.799632\pi\) |
0.588720 | + | 0.808337i | \(0.299632\pi\) | |||||||
\(968\) | 0.444423 | − | 1.65861i | 0.0142843 | − | 0.0533097i | ||||
\(969\) | −19.8804 | + | 67.9959i | −0.638649 | + | 2.18434i | ||||
\(970\) | 33.5531 | − | 8.99054i | 1.07733 | − | 0.288669i | ||||
\(971\) | −13.2249 | + | 7.63541i | −0.424408 | + | 0.245032i | −0.696961 | − | 0.717109i | \(-0.745465\pi\) |
0.272554 | + | 0.962141i | \(0.412132\pi\) | |||||||
\(972\) | −6.21881 | − | 14.2943i | −0.199469 | − | 0.458489i | ||||
\(973\) | 30.5568 | − | 47.6820i | 0.979607 | − | 1.52861i | ||||
\(974\) | −14.1102 | −0.452119 | ||||||||
\(975\) | 4.23881 | + | 2.11547i | 0.135750 | + | 0.0677493i | ||||
\(976\) | 0.887540 | − | 1.53726i | 0.0284095 | − | 0.0492066i | ||||
\(977\) | −26.2617 | + | 7.03681i | −0.840187 | + | 0.225128i | −0.653153 | − | 0.757226i | \(-0.726554\pi\) |
−0.187034 | + | 0.982353i | \(0.559888\pi\) | |||||||
\(978\) | −29.2924 | − | 0.663534i | −0.936666 | − | 0.0212175i | ||||
\(979\) | − | 8.29415i | − | 0.265082i | ||||||
\(980\) | −13.5202 | − | 5.00325i | −0.431888 | − | 0.159823i | ||||
\(981\) | −37.9100 | − | 12.0223i | −1.21037 | − | 0.383844i | ||||
\(982\) | 8.73802 | − | 32.6107i | 0.278841 | − | 1.04065i | ||||
\(983\) | 8.66300 | + | 32.3308i | 0.276307 | + | 1.03119i | 0.954961 | + | 0.296733i | \(0.0958971\pi\) |
−0.678654 | + | 0.734458i | \(0.737436\pi\) | |||||||
\(984\) | −11.3228 | + | 6.19966i | −0.360958 | + | 0.197638i | ||||
\(985\) | 34.5348 | − | 19.9387i | 1.10037 | − | 0.635299i | ||||
\(986\) | −1.70664 | + | 1.70664i | −0.0543503 | + | 0.0543503i | ||||
\(987\) | 2.31896 | − | 6.75338i | 0.0738132 | − | 0.214962i | ||||
\(988\) | −7.03461 | − | 19.5660i | −0.223801 | − | 0.622478i | ||||
\(989\) | −2.32285 | + | 1.34110i | −0.0738623 | + | 0.0426444i | ||||
\(990\) | 14.8581 | + | 16.2691i | 0.472223 | + | 0.517065i | ||||
\(991\) | 2.49678 | − | 4.32455i | 0.0793129 | − | 0.137374i | −0.823641 | − | 0.567112i | \(-0.808061\pi\) |
0.902954 | + | 0.429738i | \(0.141394\pi\) | |||||||
\(992\) | 4.30184 | + | 7.45101i | 0.136584 | + | 0.236570i | ||||
\(993\) | −34.7467 | + | 8.47184i | −1.10265 | + | 0.268846i | ||||
\(994\) | 0.258394 | − | 5.57505i | 0.00819575 | − | 0.176830i | ||||
\(995\) | −9.50771 | + | 9.50771i | −0.301415 | + | 0.301415i | ||||
\(996\) | 13.7606 | + | 14.3985i | 0.436022 | + | 0.456233i | ||||
\(997\) | −7.91540 | + | 13.7099i | −0.250683 | + | 0.434196i | −0.963714 | − | 0.266936i | \(-0.913989\pi\) |
0.713031 | + | 0.701133i | \(0.247322\pi\) | |||||||
\(998\) | −4.20342 | + | 7.28055i | −0.133057 | + | 0.230462i | ||||
\(999\) | −38.2231 | − | 13.0814i | −1.20933 | − | 0.413878i |
(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.bv.a.473.21 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.473.10 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.317.10 | ✓ | 144 | |
13.8 | odd | 4 | inner | 546.2.bv.a.515.21 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.317.21 | yes | 144 | |
39.8 | even | 4 | inner | 546.2.bv.a.515.10 | yes | 144 | |
91.86 | odd | 12 | inner | 546.2.bv.a.359.10 | yes | 144 | |
273.86 | even | 12 | inner | 546.2.bv.a.359.21 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.10 | ✓ | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.317.21 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.359.10 | yes | 144 | 91.86 | odd | 12 | inner | |
546.2.bv.a.359.21 | yes | 144 | 273.86 | even | 12 | inner | |
546.2.bv.a.473.10 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.473.21 | yes | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.515.10 | yes | 144 | 39.8 | even | 4 | inner | |
546.2.bv.a.515.21 | yes | 144 | 13.8 | odd | 4 | inner |