Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(137,546)]
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, 8, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.137");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.ch (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: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 401.37 | ||
Character | \(\chi\) | \(=\) | 546.401 |
Dual form | 546.2.ch.a.305.37 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | 1.63694 | + | 0.566057i | 0.945089 | + | 0.326813i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 0.469106 | + | 1.75073i | 0.209791 | + | 0.782949i | 0.987936 | + | 0.154865i | \(0.0494942\pi\) |
−0.778145 | + | 0.628085i | \(0.783839\pi\) | |||||||
\(6\) | 1.55776 | − | 0.757230i | 0.635951 | − | 0.309138i | ||||
\(7\) | 0.107711 | + | 2.64356i | 0.0407109 | + | 0.999171i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 2.35916 | + | 1.85321i | 0.786386 | + | 0.617735i | ||||
\(10\) | 1.56966 | + | 0.906243i | 0.496370 | + | 0.286579i | ||||
\(11\) | 0.871755 | − | 0.233586i | 0.262844 | − | 0.0704288i | −0.124990 | − | 0.992158i | \(-0.539890\pi\) |
0.387834 | + | 0.921729i | \(0.373223\pi\) | |||||||
\(12\) | 0.566057 | − | 1.63694i | 0.163407 | − | 0.472544i | ||||
\(13\) | −0.922476 | + | 3.48555i | −0.255849 | + | 0.966717i | ||||
\(14\) | 1.94544 | + | 1.79311i | 0.519941 | + | 0.479230i | ||||
\(15\) | −0.223113 | + | 3.13138i | −0.0576076 | + | 0.808519i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −6.58628 | −1.59741 | −0.798704 | − | 0.601724i | \(-0.794481\pi\) | ||||
−0.798704 | + | 0.601724i | \(0.794481\pi\) | |||||||
\(18\) | 2.97859 | − | 0.357762i | 0.702061 | − | 0.0843252i | ||||
\(19\) | 1.69870 | − | 6.33965i | 0.389709 | − | 1.45441i | −0.440899 | − | 0.897557i | \(-0.645340\pi\) |
0.830608 | − | 0.556858i | \(-0.187993\pi\) | |||||||
\(20\) | 1.75073 | − | 0.469106i | 0.391475 | − | 0.104895i | ||||
\(21\) | −1.32009 | + | 4.38832i | −0.288067 | + | 0.957610i | ||||
\(22\) | 0.451253 | − | 0.781594i | 0.0962076 | − | 0.166636i | ||||
\(23\) | −1.37581 | −0.286875 | −0.143438 | − | 0.989659i | \(-0.545816\pi\) | ||||
−0.143438 | + | 0.989659i | \(0.545816\pi\) | |||||||
\(24\) | −0.757230 | − | 1.55776i | −0.154569 | − | 0.317976i | ||||
\(25\) | 1.48514 | − | 0.857446i | 0.297028 | − | 0.171489i | ||||
\(26\) | 1.81236 | + | 3.11694i | 0.355434 | + | 0.611283i | ||||
\(27\) | 2.81278 | + | 4.36901i | 0.541320 | + | 0.840816i | ||||
\(28\) | 2.64356 | − | 0.107711i | 0.499585 | − | 0.0203555i | ||||
\(29\) | 5.47519 | − | 3.16110i | 1.01672 | − | 0.587002i | 0.103565 | − | 0.994623i | \(-0.466975\pi\) |
0.913151 | + | 0.407621i | \(0.133642\pi\) | |||||||
\(30\) | 2.05646 | + | 2.37199i | 0.375456 | + | 0.433063i | ||||
\(31\) | 1.22720 | − | 4.57998i | 0.220412 | − | 0.822589i | −0.763779 | − | 0.645478i | \(-0.776658\pi\) |
0.984191 | − | 0.177111i | \(-0.0566752\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 1.55924 | + | 0.111097i | 0.271428 | + | 0.0193394i | ||||
\(34\) | −4.65721 | + | 4.65721i | −0.798704 | + | 0.798704i | ||||
\(35\) | −4.57762 | + | 1.42868i | −0.773759 | + | 0.241491i | ||||
\(36\) | 1.85321 | − | 2.35916i | 0.308868 | − | 0.393193i | ||||
\(37\) | 7.02220 | − | 7.02220i | 1.15444 | − | 1.15444i | 0.168790 | − | 0.985652i | \(-0.446014\pi\) |
0.985652 | − | 0.168790i | \(-0.0539860\pi\) | |||||||
\(38\) | −3.28164 | − | 5.68397i | −0.532353 | − | 0.922062i | ||||
\(39\) | −3.48306 | + | 5.18346i | −0.557736 | + | 0.830018i | ||||
\(40\) | 0.906243 | − | 1.56966i | 0.143290 | − | 0.248185i | ||||
\(41\) | −12.1581 | − | 3.25776i | −1.89878 | − | 0.508777i | −0.997075 | − | 0.0764312i | \(-0.975647\pi\) |
−0.901708 | − | 0.432346i | \(-0.857686\pi\) | |||||||
\(42\) | 2.16957 | + | 4.03646i | 0.334772 | + | 0.622839i | ||||
\(43\) | 3.99588 | + | 2.30702i | 0.609366 | + | 0.351818i | 0.772717 | − | 0.634750i | \(-0.218897\pi\) |
−0.163351 | + | 0.986568i | \(0.552230\pi\) | |||||||
\(44\) | −0.233586 | − | 0.871755i | −0.0352144 | − | 0.131422i | ||||
\(45\) | −2.13776 | + | 4.99959i | −0.318679 | + | 0.745295i | ||||
\(46\) | −0.972841 | + | 0.972841i | −0.143438 | + | 0.143438i | ||||
\(47\) | 3.58728 | − | 0.961209i | 0.523259 | − | 0.140207i | 0.0124852 | − | 0.999922i | \(-0.496026\pi\) |
0.510774 | + | 0.859715i | \(0.329359\pi\) | |||||||
\(48\) | −1.63694 | − | 0.566057i | −0.236272 | − | 0.0817034i | ||||
\(49\) | −6.97680 | + | 0.569480i | −0.996685 | + | 0.0813544i | ||||
\(50\) | 0.443847 | − | 1.65646i | 0.0627694 | − | 0.234259i | ||||
\(51\) | −10.7814 | − | 3.72822i | −1.50969 | − | 0.522055i | ||||
\(52\) | 3.48555 | + | 0.922476i | 0.483358 | + | 0.127924i | ||||
\(53\) | 4.00068 | − | 2.30979i | 0.549535 | − | 0.317274i | −0.199399 | − | 0.979918i | \(-0.563899\pi\) |
0.748935 | + | 0.662644i | \(0.230566\pi\) | |||||||
\(54\) | 5.07829 | + | 1.10042i | 0.691068 | + | 0.149748i | ||||
\(55\) | 0.817891 | + | 1.41663i | 0.110284 | + | 0.191018i | ||||
\(56\) | 1.79311 | − | 1.94544i | 0.239615 | − | 0.259970i | ||||
\(57\) | 6.36928 | − | 9.41607i | 0.843632 | − | 1.24719i | ||||
\(58\) | 1.63631 | − | 6.10678i | 0.214857 | − | 0.801859i | ||||
\(59\) | −3.79190 | − | 3.79190i | −0.493663 | − | 0.493663i | 0.415795 | − | 0.909458i | \(-0.363503\pi\) |
−0.909458 | + | 0.415795i | \(0.863503\pi\) | |||||||
\(60\) | 3.13138 | + | 0.223113i | 0.404260 | + | 0.0288038i | ||||
\(61\) | −0.159236 | − | 0.275805i | −0.0203881 | − | 0.0353132i | 0.855651 | − | 0.517553i | \(-0.173157\pi\) |
−0.876039 | + | 0.482239i | \(0.839824\pi\) | |||||||
\(62\) | −2.37077 | − | 4.10630i | −0.301088 | − | 0.521501i | ||||
\(63\) | −4.64495 | + | 6.43618i | −0.585209 | + | 0.810883i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −6.53498 | + | 0.0200864i | −0.810565 | + | 0.00249142i | ||||
\(66\) | 1.18110 | − | 1.02399i | 0.145384 | − | 0.126044i | ||||
\(67\) | 1.50744 | − | 0.403918i | 0.184163 | − | 0.0493464i | −0.165559 | − | 0.986200i | \(-0.552943\pi\) |
0.349722 | + | 0.936854i | \(0.386276\pi\) | |||||||
\(68\) | 6.58628i | 0.798704i | ||||||||
\(69\) | −2.25211 | − | 0.778785i | −0.271123 | − | 0.0937547i | ||||
\(70\) | −2.22664 | + | 4.24710i | −0.266134 | + | 0.507625i | ||||
\(71\) | 0.215183 | + | 0.803072i | 0.0255375 | + | 0.0953072i | 0.977518 | − | 0.210850i | \(-0.0676233\pi\) |
−0.951981 | + | 0.306157i | \(0.900957\pi\) | |||||||
\(72\) | −0.357762 | − | 2.97859i | −0.0421626 | − | 0.351030i | ||||
\(73\) | 9.62392 | + | 2.57872i | 1.12639 | + | 0.301816i | 0.773468 | − | 0.633835i | \(-0.218520\pi\) |
0.352926 | + | 0.935651i | \(0.385187\pi\) | |||||||
\(74\) | − | 9.93089i | − | 1.15444i | ||||||
\(75\) | 2.91645 | − | 0.562915i | 0.336763 | − | 0.0649998i | ||||
\(76\) | −6.33965 | − | 1.69870i | −0.727207 | − | 0.194855i | ||||
\(77\) | 0.711396 | + | 2.27937i | 0.0810711 | + | 0.259759i | ||||
\(78\) | 1.20237 | + | 6.12816i | 0.136141 | + | 0.693877i | ||||
\(79\) | −3.91647 | + | 6.78352i | −0.440637 | + | 0.763206i | −0.997737 | − | 0.0672398i | \(-0.978581\pi\) |
0.557100 | + | 0.830446i | \(0.311914\pi\) | |||||||
\(80\) | −0.469106 | − | 1.75073i | −0.0524477 | − | 0.195737i | ||||
\(81\) | 2.13125 | + | 8.74401i | 0.236806 | + | 0.971557i | ||||
\(82\) | −10.9007 | + | 6.29352i | −1.20378 | + | 0.695003i | ||||
\(83\) | −7.59633 | + | 7.59633i | −0.833806 | + | 0.833806i | −0.988035 | − | 0.154229i | \(-0.950711\pi\) |
0.154229 | + | 0.988035i | \(0.450711\pi\) | |||||||
\(84\) | 4.38832 | + | 1.32009i | 0.478805 | + | 0.144034i | ||||
\(85\) | −3.08967 | − | 11.5308i | −0.335121 | − | 1.25069i | ||||
\(86\) | 4.45683 | − | 1.19420i | 0.480592 | − | 0.128774i | ||||
\(87\) | 10.7519 | − | 2.07527i | 1.15273 | − | 0.222492i | ||||
\(88\) | −0.781594 | − | 0.451253i | −0.0833182 | − | 0.0481038i | ||||
\(89\) | −9.27381 | − | 9.27381i | −0.983022 | − | 0.983022i | 0.0168363 | − | 0.999858i | \(-0.494641\pi\) |
−0.999858 | + | 0.0168363i | \(0.994641\pi\) | |||||||
\(90\) | 2.02362 | + | 5.04687i | 0.213308 | + | 0.531987i | ||||
\(91\) | −9.31361 | − | 2.06319i | −0.976331 | − | 0.216281i | ||||
\(92\) | 1.37581i | 0.143438i | ||||||||
\(93\) | 4.60139 | − | 6.80250i | 0.477142 | − | 0.705386i | ||||
\(94\) | 1.85691 | − | 3.21627i | 0.191526 | − | 0.331733i | ||||
\(95\) | 11.8959 | 1.22049 | ||||||||
\(96\) | −1.55776 | + | 0.757230i | −0.158988 | + | 0.0772844i | ||||
\(97\) | 8.51978 | − | 2.28287i | 0.865053 | − | 0.231790i | 0.201106 | − | 0.979570i | \(-0.435547\pi\) |
0.663947 | + | 0.747779i | \(0.268880\pi\) | |||||||
\(98\) | −4.53066 | + | 5.33602i | −0.457665 | + | 0.539020i | ||||
\(99\) | 2.48949 | + | 1.06448i | 0.250203 | + | 0.106984i | ||||
\(100\) | −0.857446 | − | 1.48514i | −0.0857446 | − | 0.148514i | ||||
\(101\) | −4.66466 | + | 8.07942i | −0.464151 | + | 0.803933i | −0.999163 | − | 0.0409119i | \(-0.986974\pi\) |
0.535012 | + | 0.844844i | \(0.320307\pi\) | |||||||
\(102\) | −10.2598 | + | 4.98733i | −1.01587 | + | 0.493819i | ||||
\(103\) | −6.49600 | − | 3.75047i | −0.640070 | − | 0.369544i | 0.144572 | − | 0.989494i | \(-0.453820\pi\) |
−0.784641 | + | 0.619950i | \(0.787153\pi\) | |||||||
\(104\) | 3.11694 | − | 1.81236i | 0.305641 | − | 0.177717i | ||||
\(105\) | −8.30202 | − | 0.252528i | −0.810194 | − | 0.0246442i | ||||
\(106\) | 1.19564 | − | 4.46218i | 0.116130 | − | 0.433405i | ||||
\(107\) | 5.66955i | 0.548096i | 0.961716 | + | 0.274048i | \(0.0883627\pi\) | ||||
−0.961716 | + | 0.274048i | \(0.911637\pi\) | |||||||
\(108\) | 4.36901 | − | 2.81278i | 0.420408 | − | 0.270660i | ||||
\(109\) | −1.48202 | + | 5.53098i | −0.141952 | + | 0.529772i | 0.857920 | + | 0.513783i | \(0.171756\pi\) |
−0.999872 | + | 0.0159889i | \(0.994910\pi\) | |||||||
\(110\) | 1.58004 | + | 0.423372i | 0.150651 | + | 0.0403669i | ||||
\(111\) | 15.4699 | − | 7.51996i | 1.46834 | − | 0.713763i | ||||
\(112\) | −0.107711 | − | 2.64356i | −0.0101777 | − | 0.249793i | ||||
\(113\) | −8.49197 | − | 4.90284i | −0.798857 | − | 0.461221i | 0.0442141 | − | 0.999022i | \(-0.485922\pi\) |
−0.843071 | + | 0.537802i | \(0.819255\pi\) | |||||||
\(114\) | −2.15440 | − | 11.1619i | −0.201778 | − | 1.04541i | ||||
\(115\) | −0.645399 | − | 2.40866i | −0.0601837 | − | 0.224609i | ||||
\(116\) | −3.16110 | − | 5.47519i | −0.293501 | − | 0.508358i | ||||
\(117\) | −8.63571 | + | 6.51342i | −0.798371 | + | 0.602166i | ||||
\(118\) | −5.36255 | −0.493663 | ||||||||
\(119\) | −0.709415 | − | 17.4112i | −0.0650320 | − | 1.59608i | ||||
\(120\) | 2.37199 | − | 2.05646i | 0.216532 | − | 0.187728i | ||||
\(121\) | −8.82089 | + | 5.09274i | −0.801899 | + | 0.462976i | ||||
\(122\) | −0.307621 | − | 0.0824267i | −0.0278507 | − | 0.00746256i | ||||
\(123\) | −18.0581 | − | 12.2150i | −1.62824 | − | 1.10139i | ||||
\(124\) | −4.57998 | − | 1.22720i | −0.411295 | − | 0.110206i | ||||
\(125\) | 8.60595 | + | 8.60595i | 0.769740 | + | 0.769740i | ||||
\(126\) | 1.26659 | + | 7.83554i | 0.112837 | + | 0.698046i | ||||
\(127\) | 12.3064 | − | 7.10513i | 1.09202 | − | 0.630478i | 0.157907 | − | 0.987454i | \(-0.449525\pi\) |
0.934114 | + | 0.356976i | \(0.116192\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 5.23512 | + | 6.03836i | 0.460927 | + | 0.531648i | ||||
\(130\) | −4.60673 | + | 4.63513i | −0.404037 | + | 0.406528i | ||||
\(131\) | 13.7422 | + | 7.93405i | 1.20066 | + | 0.693201i | 0.960702 | − | 0.277582i | \(-0.0895330\pi\) |
0.239958 | + | 0.970783i | \(0.422866\pi\) | |||||||
\(132\) | 0.111097 | − | 1.55924i | 0.00966972 | − | 0.135714i | ||||
\(133\) | 16.9422 | + | 3.80777i | 1.46907 | + | 0.330176i | ||||
\(134\) | 0.780310 | − | 1.35154i | 0.0674085 | − | 0.116755i | ||||
\(135\) | −6.32945 | + | 6.97395i | −0.544753 | + | 0.600222i | ||||
\(136\) | 4.65721 | + | 4.65721i | 0.399352 | + | 0.399352i | ||||
\(137\) | −4.71149 | − | 4.71149i | −0.402530 | − | 0.402530i | 0.476594 | − | 0.879124i | \(-0.341871\pi\) |
−0.879124 | + | 0.476594i | \(0.841871\pi\) | |||||||
\(138\) | −2.14317 | + | 1.04180i | −0.182439 | + | 0.0886840i | ||||
\(139\) | −11.4175 | + | 19.7757i | −0.968420 | + | 1.67735i | −0.268287 | + | 0.963339i | \(0.586458\pi\) |
−0.700133 | + | 0.714013i | \(0.746876\pi\) | |||||||
\(140\) | 1.42868 | + | 4.57762i | 0.120746 | + | 0.386880i | ||||
\(141\) | 6.41627 | + | 0.457164i | 0.540348 | + | 0.0385001i | ||||
\(142\) | 0.720015 | + | 0.415701i | 0.0604223 | + | 0.0348848i | ||||
\(143\) | 0.0100018 | + | 3.25402i | 0.000836394 | + | 0.272115i | ||||
\(144\) | −2.35916 | − | 1.85321i | −0.196596 | − | 0.154434i | ||||
\(145\) | 8.10267 | + | 8.10267i | 0.672890 | + | 0.672890i | ||||
\(146\) | 8.62857 | − | 4.98171i | 0.714105 | − | 0.412289i | ||||
\(147\) | −11.7430 | − | 3.01706i | −0.968544 | − | 0.248843i | ||||
\(148\) | −7.02220 | − | 7.02220i | −0.577221 | − | 0.577221i | ||||
\(149\) | −10.0818 | − | 2.70140i | −0.825930 | − | 0.221307i | −0.178993 | − | 0.983850i | \(-0.557284\pi\) |
−0.646938 | + | 0.762543i | \(0.723951\pi\) | |||||||
\(150\) | 1.66420 | − | 2.46028i | 0.135881 | − | 0.200881i | ||||
\(151\) | −10.8111 | − | 2.89683i | −0.879797 | − | 0.235741i | −0.209477 | − | 0.977814i | \(-0.567176\pi\) |
−0.670319 | + | 0.742073i | \(0.733843\pi\) | |||||||
\(152\) | −5.68397 | + | 3.28164i | −0.461031 | + | 0.266176i | ||||
\(153\) | −15.5381 | − | 12.2057i | −1.25618 | − | 0.986776i | ||||
\(154\) | 2.11479 | + | 1.10873i | 0.170415 | + | 0.0893439i | ||||
\(155\) | 8.59399 | 0.690286 | ||||||||
\(156\) | 5.18346 | + | 3.48306i | 0.415009 | + | 0.278868i | ||||
\(157\) | 4.24843 | + | 7.35849i | 0.339061 | + | 0.587272i | 0.984256 | − | 0.176746i | \(-0.0565572\pi\) |
−0.645195 | + | 0.764018i | \(0.723224\pi\) | |||||||
\(158\) | 2.02731 | + | 7.56603i | 0.161284 | + | 0.601921i | ||||
\(159\) | 7.85635 | − | 1.51638i | 0.623049 | − | 0.120257i | ||||
\(160\) | −1.56966 | − | 0.906243i | −0.124092 | − | 0.0716448i | ||||
\(161\) | −0.148189 | − | 3.63702i | −0.0116790 | − | 0.286637i | ||||
\(162\) | 7.68997 | + | 4.67593i | 0.604181 | + | 0.367376i | ||||
\(163\) | −16.2420 | − | 4.35204i | −1.27218 | − | 0.340878i | −0.441311 | − | 0.897354i | \(-0.645487\pi\) |
−0.830864 | + | 0.556476i | \(0.812153\pi\) | |||||||
\(164\) | −3.25776 | + | 12.1581i | −0.254389 | + | 0.949391i | ||||
\(165\) | 0.536947 | + | 2.78191i | 0.0418013 | + | 0.216572i | ||||
\(166\) | 10.7428i | 0.833806i | ||||||||
\(167\) | −4.01048 | + | 14.9673i | −0.310340 | + | 1.15821i | 0.617909 | + | 0.786249i | \(0.287980\pi\) |
−0.928250 | + | 0.371957i | \(0.878687\pi\) | |||||||
\(168\) | 4.03646 | − | 2.16957i | 0.311419 | − | 0.167386i | ||||
\(169\) | −11.2981 | − | 6.43067i | −0.869083 | − | 0.494667i | ||||
\(170\) | −10.3382 | − | 5.96878i | −0.792906 | − | 0.457784i | ||||
\(171\) | 15.7562 | − | 11.8082i | 1.20491 | − | 0.902994i | ||||
\(172\) | 2.30702 | − | 3.99588i | 0.175909 | − | 0.304683i | ||||
\(173\) | −8.29585 | − | 14.3688i | −0.630721 | − | 1.09244i | −0.987405 | − | 0.158216i | \(-0.949426\pi\) |
0.356683 | − | 0.934225i | \(-0.383908\pi\) | |||||||
\(174\) | 6.13532 | − | 9.07020i | 0.465118 | − | 0.687610i | ||||
\(175\) | 2.42667 | + | 3.83370i | 0.183439 | + | 0.289800i | ||||
\(176\) | −0.871755 | + | 0.233586i | −0.0657110 | + | 0.0176072i | ||||
\(177\) | −4.06068 | − | 8.35354i | −0.305220 | − | 0.627891i | ||||
\(178\) | −13.1151 | −0.983022 | ||||||||
\(179\) | 4.36543 | − | 7.56115i | 0.326288 | − | 0.565147i | −0.655485 | − | 0.755209i | \(-0.727536\pi\) |
0.981772 | + | 0.190062i | \(0.0608689\pi\) | |||||||
\(180\) | 4.99959 | + | 2.13776i | 0.372648 | + | 0.159340i | ||||
\(181\) | − | 12.7095i | − | 0.944688i | −0.881414 | − | 0.472344i | \(-0.843408\pi\) | ||
0.881414 | − | 0.472344i | \(-0.156592\pi\) | |||||||
\(182\) | −8.04461 | + | 5.12682i | −0.596306 | + | 0.380025i | ||||
\(183\) | −0.104539 | − | 0.541614i | −0.00772773 | − | 0.0400373i | ||||
\(184\) | 0.972841 | + | 0.972841i | 0.0717188 | + | 0.0717188i | ||||
\(185\) | 15.5881 | + | 8.99980i | 1.14606 | + | 0.661678i | ||||
\(186\) | −1.55642 | − | 8.06377i | −0.114122 | − | 0.591264i | ||||
\(187\) | −5.74162 | + | 1.53846i | −0.419869 | + | 0.112504i | ||||
\(188\) | −0.961209 | − | 3.58728i | −0.0701034 | − | 0.261629i | ||||
\(189\) | −11.2468 | + | 7.90635i | −0.818082 | + | 0.575102i | ||||
\(190\) | 8.41165 | − | 8.41165i | 0.610245 | − | 0.610245i | ||||
\(191\) | 4.87773 | − | 2.81616i | 0.352940 | − | 0.203770i | −0.313039 | − | 0.949740i | \(-0.601347\pi\) |
0.665979 | + | 0.745970i | \(0.268014\pi\) | |||||||
\(192\) | −0.566057 | + | 1.63694i | −0.0408517 | + | 0.118136i | ||||
\(193\) | 1.55380 | + | 5.79885i | 0.111845 | + | 0.417410i | 0.999032 | − | 0.0440001i | \(-0.0140102\pi\) |
−0.887187 | + | 0.461411i | \(0.847344\pi\) | |||||||
\(194\) | 4.41017 | − | 7.63863i | 0.316631 | − | 0.548422i | ||||
\(195\) | −10.7088 | − | 3.66630i | −0.766870 | − | 0.262549i | ||||
\(196\) | 0.569480 | + | 6.97680i | 0.0406772 | + | 0.498343i | ||||
\(197\) | 0.130081 | + | 0.0348552i | 0.00926792 | + | 0.00248333i | 0.263450 | − | 0.964673i | \(-0.415140\pi\) |
−0.254182 | + | 0.967156i | \(0.581806\pi\) | |||||||
\(198\) | 2.51303 | − | 1.00764i | 0.178593 | − | 0.0716097i | ||||
\(199\) | 15.4449i | 1.09486i | 0.836851 | + | 0.547431i | \(0.184394\pi\) | ||||
−0.836851 | + | 0.547431i | \(0.815606\pi\) | |||||||
\(200\) | −1.65646 | − | 0.443847i | −0.117129 | − | 0.0313847i | ||||
\(201\) | 2.69624 | + | 0.192109i | 0.190178 | + | 0.0135503i | ||||
\(202\) | 2.41460 | + | 9.01142i | 0.169891 | + | 0.634042i | ||||
\(203\) | 8.94629 | + | 14.1335i | 0.627906 | + | 0.991976i | ||||
\(204\) | −3.72822 | + | 10.7814i | −0.261027 | + | 0.754847i | ||||
\(205\) | − | 22.8138i | − | 1.59339i | ||||||
\(206\) | −7.24535 | + | 1.94138i | −0.504807 | + | 0.135263i | ||||
\(207\) | −3.24574 | − | 2.54965i | −0.225595 | − | 0.177213i | ||||
\(208\) | 0.922476 | − | 3.48555i | 0.0639622 | − | 0.241679i | ||||
\(209\) | − | 5.92341i | − | 0.409731i | ||||||
\(210\) | −6.04898 | + | 5.69185i | −0.417419 | + | 0.392775i | ||||
\(211\) | 8.34474 | + | 14.4535i | 0.574475 | + | 0.995020i | 0.996098 | + | 0.0882493i | \(0.0281272\pi\) |
−0.421623 | + | 0.906771i | \(0.638539\pi\) | |||||||
\(212\) | −2.30979 | − | 4.00068i | −0.158637 | − | 0.274768i | ||||
\(213\) | −0.102344 | + | 1.43639i | −0.00701248 | + | 0.0984197i | ||||
\(214\) | 4.00898 | + | 4.00898i | 0.274048 | + | 0.274048i | ||||
\(215\) | −2.16448 | + | 8.07794i | −0.147616 | + | 0.550911i | ||||
\(216\) | 1.10042 | − | 5.07829i | 0.0748740 | − | 0.345534i | ||||
\(217\) | 12.2396 | + | 2.75087i | 0.830880 | + | 0.186741i | ||||
\(218\) | 2.86305 | + | 4.95894i | 0.193910 | + | 0.335862i | ||||
\(219\) | 14.2941 | + | 9.66891i | 0.965905 | + | 0.653364i | ||||
\(220\) | 1.41663 | − | 0.817891i | 0.0955091 | − | 0.0551422i | ||||
\(221\) | 6.07569 | − | 22.9568i | 0.408695 | − | 1.54424i | ||||
\(222\) | 5.62145 | − | 16.2563i | 0.377287 | − | 1.09105i | ||||
\(223\) | −4.88471 | + | 18.2300i | −0.327105 | + | 1.22077i | 0.585075 | + | 0.810979i | \(0.301065\pi\) |
−0.912179 | + | 0.409791i | \(0.865602\pi\) | |||||||
\(224\) | −1.94544 | − | 1.79311i | −0.129985 | − | 0.119808i | ||||
\(225\) | 5.09270 | + | 0.729420i | 0.339513 | + | 0.0486280i | ||||
\(226\) | −9.47156 | + | 2.53790i | −0.630039 | + | 0.168818i | ||||
\(227\) | 4.35833 | − | 4.35833i | 0.289273 | − | 0.289273i | −0.547520 | − | 0.836793i | \(-0.684428\pi\) |
0.836793 | + | 0.547520i | \(0.184428\pi\) | |||||||
\(228\) | −9.41607 | − | 6.36928i | −0.623595 | − | 0.421816i | ||||
\(229\) | −7.77816 | − | 29.0285i | −0.513996 | − | 1.91826i | −0.371386 | − | 0.928479i | \(-0.621117\pi\) |
−0.142609 | − | 0.989779i | \(-0.545549\pi\) | |||||||
\(230\) | −2.15955 | − | 1.24681i | −0.142396 | − | 0.0822125i | ||||
\(231\) | −0.125744 | + | 4.13389i | −0.00827332 | + | 0.271990i | ||||
\(232\) | −6.10678 | − | 1.63631i | −0.400930 | − | 0.107429i | ||||
\(233\) | −2.90989 | + | 5.04008i | −0.190633 | + | 0.330187i | −0.945460 | − | 0.325737i | \(-0.894388\pi\) |
0.754827 | + | 0.655924i | \(0.227721\pi\) | |||||||
\(234\) | −1.50068 | + | 10.7120i | −0.0981028 | + | 0.700268i | ||||
\(235\) | 3.36563 | + | 5.82944i | 0.219550 | + | 0.380271i | ||||
\(236\) | −3.79190 | + | 3.79190i | −0.246831 | + | 0.246831i | ||||
\(237\) | −10.2509 | + | 8.88728i | −0.665867 | + | 0.577291i | ||||
\(238\) | −12.8132 | − | 11.8100i | −0.830558 | − | 0.765526i | ||||
\(239\) | −4.35751 | + | 4.35751i | −0.281864 | + | 0.281864i | −0.833852 | − | 0.551988i | \(-0.813869\pi\) |
0.551988 | + | 0.833852i | \(0.313869\pi\) | |||||||
\(240\) | 0.223113 | − | 3.13138i | 0.0144019 | − | 0.202130i | ||||
\(241\) | 5.45104 | − | 5.45104i | 0.351132 | − | 0.351132i | −0.509399 | − | 0.860531i | \(-0.670132\pi\) |
0.860531 | + | 0.509399i | \(0.170132\pi\) | |||||||
\(242\) | −2.63620 | + | 9.83842i | −0.169461 | + | 0.632438i | ||||
\(243\) | −1.46088 | + | 15.5199i | −0.0937154 | + | 0.995599i | ||||
\(244\) | −0.275805 | + | 0.159236i | −0.0176566 | + | 0.0101941i | ||||
\(245\) | −4.26986 | − | 11.9473i | −0.272792 | − | 0.763287i | ||||
\(246\) | −21.4063 | + | 4.13170i | −1.36482 | + | 0.263428i | ||||
\(247\) | 20.5301 | + | 11.7691i | 1.30630 | + | 0.748849i | ||||
\(248\) | −4.10630 | + | 2.37077i | −0.260750 | + | 0.150544i | ||||
\(249\) | −16.7347 | + | 8.13480i | −1.06052 | + | 0.515522i | ||||
\(250\) | 12.1707 | 0.769740 | ||||||||
\(251\) | −2.45017 | + | 4.24381i | −0.154653 | + | 0.267867i | −0.932933 | − | 0.360051i | \(-0.882759\pi\) |
0.778280 | + | 0.627918i | \(0.216093\pi\) | |||||||
\(252\) | 6.43618 | + | 4.64495i | 0.405441 | + | 0.292604i | ||||
\(253\) | −1.19936 | + | 0.321369i | −0.0754034 | + | 0.0202043i | ||||
\(254\) | 3.67789 | − | 13.7261i | 0.230771 | − | 0.861249i | ||||
\(255\) | 1.46949 | − | 20.6242i | 0.0920228 | − | 1.29154i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 22.1351 | 1.38075 | 0.690375 | − | 0.723452i | \(-0.257446\pi\) | ||||
0.690375 | + | 0.723452i | \(0.257446\pi\) | |||||||
\(258\) | 7.97156 | + | 0.567979i | 0.496287 | + | 0.0353608i | ||||
\(259\) | 19.3200 | + | 17.8072i | 1.20048 | + | 1.10649i | ||||
\(260\) | 0.0200864 | + | 6.53498i | 0.00124571 | + | 0.405282i | ||||
\(261\) | 18.7750 | + | 2.68912i | 1.16214 | + | 0.166452i | ||||
\(262\) | 15.3274 | − | 4.10697i | 0.946931 | − | 0.253729i | ||||
\(263\) | 14.2409 | + | 8.22199i | 0.878131 | + | 0.506989i | 0.870042 | − | 0.492978i | \(-0.164092\pi\) |
0.00808956 | + | 0.999967i | \(0.497425\pi\) | |||||||
\(264\) | −1.02399 | − | 1.18110i | −0.0630221 | − | 0.0726919i | ||||
\(265\) | 5.92056 | + | 5.92056i | 0.363697 | + | 0.363697i | ||||
\(266\) | 14.6724 | − | 9.28744i | 0.899625 | − | 0.569449i | ||||
\(267\) | −9.93118 | − | 20.4302i | −0.607778 | − | 1.25031i | ||||
\(268\) | −0.403918 | − | 1.50744i | −0.0246732 | − | 0.0920817i | ||||
\(269\) | − | 8.80178i | − | 0.536654i | −0.963328 | − | 0.268327i | \(-0.913529\pi\) | ||
0.963328 | − | 0.268327i | \(-0.0864708\pi\) | |||||||
\(270\) | 0.455725 | + | 9.40693i | 0.0277346 | + | 0.572487i | ||||
\(271\) | 16.4390 | − | 16.4390i | 0.998598 | − | 0.998598i | −0.00140113 | − | 0.999999i | \(-0.500446\pi\) |
0.999999 | + | 0.00140113i | \(0.000445993\pi\) | |||||||
\(272\) | 6.58628 | 0.399352 | ||||||||
\(273\) | −14.0779 | − | 8.64935i | −0.852036 | − | 0.523483i | ||||
\(274\) | −6.66305 | −0.402530 | ||||||||
\(275\) | 1.09439 | − | 1.09439i | 0.0659942 | − | 0.0659942i | ||||
\(276\) | −0.778785 | + | 2.25211i | −0.0468773 | + | 0.135561i | ||||
\(277\) | − | 8.79047i | − | 0.528168i | −0.964500 | − | 0.264084i | \(-0.914930\pi\) | ||
0.964500 | − | 0.264084i | \(-0.0850697\pi\) | |||||||
\(278\) | 5.91013 | + | 22.0569i | 0.354466 | + | 1.32289i | ||||
\(279\) | 11.3828 | − | 8.53064i | 0.681471 | − | 0.510716i | ||||
\(280\) | 4.24710 | + | 2.22664i | 0.253813 | + | 0.133067i | ||||
\(281\) | −5.77940 | − | 5.77940i | −0.344770 | − | 0.344770i | 0.513387 | − | 0.858157i | \(-0.328391\pi\) |
−0.858157 | + | 0.513387i | \(0.828391\pi\) | |||||||
\(282\) | 4.86025 | − | 4.21373i | 0.289424 | − | 0.250924i | ||||
\(283\) | 15.8077 | + | 9.12659i | 0.939671 | + | 0.542520i | 0.889857 | − | 0.456239i | \(-0.150804\pi\) |
0.0498142 | + | 0.998759i | \(0.484137\pi\) | |||||||
\(284\) | 0.803072 | − | 0.215183i | 0.0476536 | − | 0.0127687i | ||||
\(285\) | 19.4728 | + | 6.73375i | 1.15347 | + | 0.398873i | ||||
\(286\) | 2.30801 | + | 2.29387i | 0.136476 | + | 0.135639i | ||||
\(287\) | 7.30252 | − | 32.4916i | 0.431054 | − | 1.91792i | ||||
\(288\) | −2.97859 | + | 0.357762i | −0.175515 | + | 0.0210813i | ||||
\(289\) | 26.3791 | 1.55171 | ||||||||
\(290\) | 11.4589 | 0.672890 | ||||||||
\(291\) | 15.2386 | + | 1.08576i | 0.893304 | + | 0.0636486i | ||||
\(292\) | 2.57872 | − | 9.62392i | 0.150908 | − | 0.563197i | ||||
\(293\) | 3.68965 | − | 0.988640i | 0.215552 | − | 0.0577570i | −0.149427 | − | 0.988773i | \(-0.547743\pi\) |
0.364979 | + | 0.931016i | \(0.381076\pi\) | |||||||
\(294\) | −10.4369 | + | 6.17015i | −0.608693 | + | 0.359850i | ||||
\(295\) | 4.85978 | − | 8.41738i | 0.282947 | − | 0.490079i | ||||
\(296\) | −9.93089 | −0.577221 | ||||||||
\(297\) | 3.47260 | + | 3.15168i | 0.201501 | + | 0.182879i | ||||
\(298\) | −9.03906 | + | 5.21871i | −0.523619 | + | 0.302312i | ||||
\(299\) | 1.26915 | − | 4.79543i | 0.0733967 | − | 0.277327i | ||||
\(300\) | −0.562915 | − | 2.91645i | −0.0324999 | − | 0.168381i | ||||
\(301\) | −5.66835 | + | 10.8118i | −0.326718 | + | 0.623184i | ||||
\(302\) | −9.69299 | + | 5.59625i | −0.557769 | + | 0.322028i | ||||
\(303\) | −12.2092 | + | 10.5851i | −0.701400 | + | 0.608097i | ||||
\(304\) | −1.69870 | + | 6.33965i | −0.0974273 | + | 0.363604i | ||||
\(305\) | 0.408161 | − | 0.408161i | 0.0233712 | − | 0.0233712i | ||||
\(306\) | −19.6178 | + | 2.35632i | −1.12148 | + | 0.134702i | ||||
\(307\) | 11.9104 | − | 11.9104i | 0.679761 | − | 0.679761i | −0.280185 | − | 0.959946i | \(-0.590396\pi\) |
0.959946 | + | 0.280185i | \(0.0903959\pi\) | |||||||
\(308\) | 2.27937 | − | 0.711396i | 0.129879 | − | 0.0405355i | ||||
\(309\) | −8.51059 | − | 9.81640i | −0.484151 | − | 0.558436i | ||||
\(310\) | 6.07687 | − | 6.07687i | 0.345143 | − | 0.345143i | ||||
\(311\) | 12.1481 | + | 21.0411i | 0.688853 | + | 1.19313i | 0.972209 | + | 0.234114i | \(0.0752190\pi\) |
−0.283356 | + | 0.959015i | \(0.591448\pi\) | |||||||
\(312\) | 6.12816 | − | 1.20237i | 0.346939 | − | 0.0680706i | ||||
\(313\) | −7.76181 | + | 13.4438i | −0.438723 | + | 0.759891i | −0.997591 | − | 0.0693657i | \(-0.977902\pi\) |
0.558868 | + | 0.829257i | \(0.311236\pi\) | |||||||
\(314\) | 8.20733 | + | 2.19915i | 0.463166 | + | 0.124105i | ||||
\(315\) | −13.4470 | − | 5.11279i | −0.757651 | − | 0.288073i | ||||
\(316\) | 6.78352 | + | 3.91647i | 0.381603 | + | 0.220319i | ||||
\(317\) | −6.90434 | − | 25.7673i | −0.387786 | − | 1.44724i | −0.833728 | − | 0.552176i | \(-0.813798\pi\) |
0.445941 | − | 0.895062i | \(-0.352869\pi\) | |||||||
\(318\) | 4.48304 | − | 6.62752i | 0.251396 | − | 0.371653i | ||||
\(319\) | 4.03463 | − | 4.03463i | 0.225896 | − | 0.225896i | ||||
\(320\) | −1.75073 | + | 0.469106i | −0.0978687 | + | 0.0262238i | ||||
\(321\) | −3.20929 | + | 9.28072i | −0.179125 | + | 0.517999i | ||||
\(322\) | −2.67655 | − | 2.46698i | −0.149158 | − | 0.137479i | ||||
\(323\) | −11.1881 | + | 41.7547i | −0.622525 | + | 2.32329i | ||||
\(324\) | 8.74401 | − | 2.13125i | 0.485779 | − | 0.118403i | ||||
\(325\) | 1.61866 | + | 5.96750i | 0.0897872 | + | 0.331017i | ||||
\(326\) | −14.5622 | + | 8.40750i | −0.806527 | + | 0.465648i | ||||
\(327\) | −5.55684 | + | 8.21498i | −0.307294 | + | 0.454290i | ||||
\(328\) | 6.29352 | + | 10.9007i | 0.347501 | + | 0.601890i | ||||
\(329\) | 2.92740 | + | 9.37965i | 0.161393 | + | 0.517117i | ||||
\(330\) | 2.34679 | + | 1.58743i | 0.129186 | + | 0.0873852i | ||||
\(331\) | 3.30758 | − | 12.3441i | 0.181801 | − | 0.678490i | −0.813492 | − | 0.581576i | \(-0.802436\pi\) |
0.995293 | − | 0.0969140i | \(-0.0308972\pi\) | |||||||
\(332\) | 7.59633 | + | 7.59633i | 0.416903 | + | 0.416903i | ||||
\(333\) | 29.5801 | − | 3.55289i | 1.62098 | − | 0.194697i | ||||
\(334\) | 7.74766 | + | 13.4193i | 0.423933 | + | 0.734273i | ||||
\(335\) | 1.41430 | + | 2.44964i | 0.0772715 | + | 0.133838i | ||||
\(336\) | 1.32009 | − | 4.38832i | 0.0720168 | − | 0.239403i | ||||
\(337\) | − | 6.18136i | − | 0.336720i | −0.985726 | − | 0.168360i | \(-0.946153\pi\) | ||
0.985726 | − | 0.168360i | \(-0.0538471\pi\) | |||||||
\(338\) | −12.5361 | + | 3.44178i | −0.681875 | + | 0.187208i | ||||
\(339\) | −11.1256 | − | 12.8326i | −0.604258 | − | 0.696972i | ||||
\(340\) | −11.5308 | + | 3.08967i | −0.625345 | + | 0.167561i | ||||
\(341\) | − | 4.27928i | − | 0.231736i | ||||||
\(342\) | 2.79166 | − | 19.4909i | 0.150956 | − | 1.05395i | ||||
\(343\) | −2.25693 | − | 18.3822i | −0.121863 | − | 0.992547i | ||||
\(344\) | −1.19420 | − | 4.45683i | −0.0643871 | − | 0.240296i | ||||
\(345\) | 0.306960 | − | 4.30817i | 0.0165262 | − | 0.231944i | ||||
\(346\) | −16.0263 | − | 4.29425i | −0.861582 | − | 0.230860i | ||||
\(347\) | 9.99643i | 0.536637i | 0.963330 | + | 0.268318i | \(0.0864679\pi\) | ||||
−0.963330 | + | 0.268318i | \(0.913532\pi\) | |||||||
\(348\) | −2.07527 | − | 10.7519i | −0.111246 | − | 0.576364i | ||||
\(349\) | −20.8799 | − | 5.59475i | −1.11768 | − | 0.299480i | −0.347733 | − | 0.937594i | \(-0.613048\pi\) |
−0.769943 | + | 0.638113i | \(0.779715\pi\) | |||||||
\(350\) | 4.42675 | + | 0.994915i | 0.236620 | + | 0.0531805i | ||||
\(351\) | −17.8231 | + | 5.77378i | −0.951328 | + | 0.308182i | ||||
\(352\) | −0.451253 | + | 0.781594i | −0.0240519 | + | 0.0416591i | ||||
\(353\) | 2.78201 | + | 10.3826i | 0.148071 | + | 0.552609i | 0.999599 | + | 0.0283006i | \(0.00900957\pi\) |
−0.851528 | + | 0.524309i | \(0.824324\pi\) | |||||||
\(354\) | −8.77818 | − | 3.03551i | −0.466555 | − | 0.161336i | ||||
\(355\) | −1.30502 | + | 0.753452i | −0.0692632 | + | 0.0399891i | ||||
\(356\) | −9.27381 | + | 9.27381i | −0.491511 | + | 0.491511i | ||||
\(357\) | 8.69448 | − | 28.9027i | 0.460161 | − | 1.52969i | ||||
\(358\) | −2.25971 | − | 8.43336i | −0.119430 | − | 0.445717i | ||||
\(359\) | 21.8831 | − | 5.86355i | 1.15494 | − | 0.309466i | 0.369999 | − | 0.929032i | \(-0.379358\pi\) |
0.784945 | + | 0.619566i | \(0.212691\pi\) | |||||||
\(360\) | 5.04687 | − | 2.02362i | 0.265994 | − | 0.106654i | ||||
\(361\) | −20.8511 | − | 12.0384i | −1.09742 | − | 0.633598i | ||||
\(362\) | −8.98696 | − | 8.98696i | −0.472344 | − | 0.472344i | ||||
\(363\) | −17.3221 | + | 3.34339i | −0.909172 | + | 0.175483i | ||||
\(364\) | −2.06319 | + | 9.31361i | −0.108140 | + | 0.488166i | ||||
\(365\) | 18.0586i | 0.945228i | ||||||||
\(366\) | −0.456899 | − | 0.309059i | −0.0238825 | − | 0.0161548i | ||||
\(367\) | 1.94294 | − | 3.36526i | 0.101420 | − | 0.175665i | −0.810850 | − | 0.585255i | \(-0.800995\pi\) |
0.912270 | + | 0.409589i | \(0.134328\pi\) | |||||||
\(368\) | 1.37581 | 0.0717188 | ||||||||
\(369\) | −22.6457 | − | 30.2171i | −1.17889 | − | 1.57304i | ||||
\(370\) | 17.3863 | − | 4.65864i | 0.903870 | − | 0.242191i | ||||
\(371\) | 6.53699 | + | 10.3272i | 0.339383 | + | 0.536163i | ||||
\(372\) | −6.80250 | − | 4.60139i | −0.352693 | − | 0.238571i | ||||
\(373\) | −3.70760 | − | 6.42175i | −0.191972 | − | 0.332506i | 0.753932 | − | 0.656953i | \(-0.228155\pi\) |
−0.945904 | + | 0.324447i | \(0.894822\pi\) | |||||||
\(374\) | −2.97208 | + | 5.14780i | −0.153683 | + | 0.266186i | ||||
\(375\) | 9.21598 | + | 18.9589i | 0.475911 | + | 0.979034i | ||||
\(376\) | −3.21627 | − | 1.85691i | −0.165866 | − | 0.0957630i | ||||
\(377\) | 5.96743 | + | 22.0001i | 0.307338 | + | 1.13306i | ||||
\(378\) | −2.36203 | + | 13.5433i | −0.121490 | + | 0.696592i | ||||
\(379\) | −2.47437 | + | 9.23446i | −0.127100 | + | 0.474342i | −0.999906 | − | 0.0137247i | \(-0.995631\pi\) |
0.872806 | + | 0.488067i | \(0.162298\pi\) | |||||||
\(380\) | − | 11.8959i | − | 0.610245i | ||||||
\(381\) | 24.1668 | − | 4.66453i | 1.23811 | − | 0.238971i | ||||
\(382\) | 1.45775 | − | 5.44040i | 0.0745850 | − | 0.278355i | ||||
\(383\) | −20.4641 | − | 5.48334i | −1.04567 | − | 0.280186i | −0.305207 | − | 0.952286i | \(-0.598726\pi\) |
−0.740460 | + | 0.672101i | \(0.765392\pi\) | |||||||
\(384\) | 0.757230 | + | 1.55776i | 0.0386422 | + | 0.0794939i | ||||
\(385\) | −3.65684 | + | 2.31473i | −0.186370 | + | 0.117970i | ||||
\(386\) | 5.19911 | + | 3.00171i | 0.264628 | + | 0.152783i | ||||
\(387\) | 5.15153 | + | 12.8478i | 0.261867 | + | 0.653092i | ||||
\(388\) | −2.28287 | − | 8.51978i | −0.115895 | − | 0.432527i | ||||
\(389\) | 15.6838 | + | 27.1652i | 0.795202 | + | 1.37733i | 0.922711 | + | 0.385493i | \(0.125969\pi\) |
−0.127509 | + | 0.991837i | \(0.540698\pi\) | |||||||
\(390\) | −10.1647 | + | 4.97977i | −0.514710 | + | 0.252161i | ||||
\(391\) | 9.06144 | 0.458257 | ||||||||
\(392\) | 5.33602 | + | 4.53066i | 0.269510 | + | 0.228833i | ||||
\(393\) | 18.0040 | + | 20.7665i | 0.908183 | + | 1.04753i | ||||
\(394\) | 0.116628 | − | 0.0673351i | 0.00587562 | − | 0.00339229i | ||||
\(395\) | −13.7133 | − | 3.67448i | −0.689993 | − | 0.184883i | ||||
\(396\) | 1.06448 | − | 2.48949i | 0.0534919 | − | 0.125102i | ||||
\(397\) | −25.4057 | − | 6.80743i | −1.27507 | − | 0.341655i | −0.443101 | − | 0.896472i | \(-0.646122\pi\) |
−0.831973 | + | 0.554817i | \(0.812788\pi\) | |||||||
\(398\) | 10.9212 | + | 10.9212i | 0.547431 | + | 0.547431i | ||||
\(399\) | 25.5780 | + | 15.8234i | 1.28050 | + | 0.792159i | ||||
\(400\) | −1.48514 | + | 0.857446i | −0.0742570 | + | 0.0428723i | ||||
\(401\) | −4.40472 | − | 4.40472i | −0.219961 | − | 0.219961i | 0.588521 | − | 0.808482i | \(-0.299711\pi\) |
−0.808482 | + | 0.588521i | \(0.799711\pi\) | |||||||
\(402\) | 2.04237 | − | 1.77069i | 0.101864 | − | 0.0883138i | ||||
\(403\) | 14.8317 | + | 8.50240i | 0.738818 | + | 0.423535i | ||||
\(404\) | 8.07942 | + | 4.66466i | 0.401966 | + | 0.232075i | ||||
\(405\) | −14.3086 | + | 7.83311i | −0.711000 | + | 0.389230i | ||||
\(406\) | 16.3199 | + | 3.66790i | 0.809941 | + | 0.182035i | ||||
\(407\) | 4.48135 | − | 7.76192i | 0.222132 | − | 0.384744i | ||||
\(408\) | 4.98733 | + | 10.2598i | 0.246910 | + | 0.507937i | ||||
\(409\) | −7.84266 | − | 7.84266i | −0.387794 | − | 0.387794i | 0.486106 | − | 0.873900i | \(-0.338417\pi\) |
−0.873900 | + | 0.486106i | \(0.838417\pi\) | |||||||
\(410\) | −16.1318 | − | 16.1318i | −0.796694 | − | 0.796694i | ||||
\(411\) | −5.04546 | − | 10.3794i | −0.248874 | − | 0.511978i | ||||
\(412\) | −3.75047 | + | 6.49600i | −0.184772 | + | 0.320035i | ||||
\(413\) | 9.61567 | − | 10.4325i | 0.473156 | − | 0.513351i | ||||
\(414\) | −4.09796 | + | 0.492210i | −0.201404 | + | 0.0241908i | ||||
\(415\) | −16.8626 | − | 9.73563i | −0.827752 | − | 0.477903i | ||||
\(416\) | −1.81236 | − | 3.11694i | −0.0888585 | − | 0.152821i | ||||
\(417\) | −29.8840 | + | 25.9087i | −1.46342 | + | 1.26875i | ||||
\(418\) | −4.18848 | − | 4.18848i | −0.204865 | − | 0.204865i | ||||
\(419\) | −17.9840 | + | 10.3830i | −0.878574 | + | 0.507245i | −0.870188 | − | 0.492720i | \(-0.836003\pi\) |
−0.00838623 | + | 0.999965i | \(0.502669\pi\) | |||||||
\(420\) | −0.252528 | + | 8.30202i | −0.0123221 | + | 0.405097i | ||||
\(421\) | −4.07675 | − | 4.07675i | −0.198689 | − | 0.198689i | 0.600749 | − | 0.799438i | \(-0.294869\pi\) |
−0.799438 | + | 0.600749i | \(0.794869\pi\) | |||||||
\(422\) | 16.1208 | + | 4.31955i | 0.784748 | + | 0.210273i | ||||
\(423\) | 10.2443 | + | 4.38033i | 0.498094 | + | 0.212979i | ||||
\(424\) | −4.46218 | − | 1.19564i | −0.216702 | − | 0.0580652i | ||||
\(425\) | −9.78155 | + | 5.64738i | −0.474475 | + | 0.273938i | ||||
\(426\) | 0.943312 | + | 1.08805i | 0.0457036 | + | 0.0527161i | ||||
\(427\) | 0.711955 | − | 0.450657i | 0.0344539 | − | 0.0218088i | ||||
\(428\) | 5.66955 | 0.274048 | ||||||||
\(429\) | −1.82559 | + | 5.33230i | −0.0881403 | + | 0.257446i | ||||
\(430\) | 4.18145 | + | 7.24249i | 0.201647 | + | 0.349264i | ||||
\(431\) | 6.27842 | + | 23.4314i | 0.302421 | + | 1.12865i | 0.935143 | + | 0.354271i | \(0.115271\pi\) |
−0.632722 | + | 0.774379i | \(0.718063\pi\) | |||||||
\(432\) | −2.81278 | − | 4.36901i | −0.135330 | − | 0.210204i | ||||
\(433\) | −5.95281 | − | 3.43686i | −0.286074 | − | 0.165165i | 0.350096 | − | 0.936714i | \(-0.386149\pi\) |
−0.636170 | + | 0.771549i | \(0.719482\pi\) | |||||||
\(434\) | 10.5999 | − | 6.70957i | 0.508811 | − | 0.322070i | ||||
\(435\) | 8.67702 | + | 17.8502i | 0.416031 | + | 0.855850i | ||||
\(436\) | 5.53098 | + | 1.48202i | 0.264886 | + | 0.0709760i | ||||
\(437\) | −2.33708 | + | 8.72212i | −0.111798 | + | 0.417236i | ||||
\(438\) | 16.9444 | − | 3.27050i | 0.809635 | − | 0.156270i | ||||
\(439\) | 9.75835i | 0.465741i | 0.972508 | + | 0.232870i | \(0.0748118\pi\) | ||||
−0.972508 | + | 0.232870i | \(0.925188\pi\) | |||||||
\(440\) | 0.423372 | − | 1.58004i | 0.0201834 | − | 0.0753256i | ||||
\(441\) | −17.5147 | − | 11.5860i | −0.834035 | − | 0.551712i | ||||
\(442\) | −11.9367 | − | 20.5291i | −0.567773 | − | 0.976468i | ||||
\(443\) | −34.0695 | − | 19.6700i | −1.61869 | − | 0.934552i | −0.987259 | − | 0.159120i | \(-0.949134\pi\) |
−0.631431 | − | 0.775432i | \(-0.717532\pi\) | |||||||
\(444\) | −7.51996 | − | 15.4699i | −0.356882 | − | 0.734169i | ||||
\(445\) | 11.8855 | − | 20.5863i | 0.563428 | − | 0.975885i | ||||
\(446\) | 9.43654 | + | 16.3446i | 0.446833 | + | 0.773938i | ||||
\(447\) | −14.9741 | − | 10.1289i | −0.708251 | − | 0.479080i | ||||
\(448\) | −2.64356 | + | 0.107711i | −0.124896 | + | 0.00508887i | ||||
\(449\) | 21.0377 | − | 5.63704i | 0.992831 | − | 0.266028i | 0.274392 | − | 0.961618i | \(-0.411524\pi\) |
0.718439 | + | 0.695590i | \(0.244857\pi\) | |||||||
\(450\) | 4.11686 | − | 3.08531i | 0.194071 | − | 0.145443i | ||||
\(451\) | −11.3599 | −0.534916 | ||||||||
\(452\) | −4.90284 | + | 8.49197i | −0.230610 | + | 0.399429i | ||||
\(453\) | −16.0574 | − | 10.8617i | −0.754443 | − | 0.510325i | ||||
\(454\) | − | 6.16361i | − | 0.289273i | ||||||
\(455\) | −0.756989 | − | 17.2734i | −0.0354882 | − | 0.809792i | ||||
\(456\) | −11.1619 | + | 2.15440i | −0.522705 | + | 0.100889i | ||||
\(457\) | −6.60616 | − | 6.60616i | −0.309023 | − | 0.309023i | 0.535507 | − | 0.844530i | \(-0.320120\pi\) |
−0.844530 | + | 0.535507i | \(0.820120\pi\) | |||||||
\(458\) | −26.0262 | − | 15.0263i | −1.21613 | − | 0.702131i | ||||
\(459\) | −18.5258 | − | 28.7755i | −0.864710 | − | 1.34313i | ||||
\(460\) | −2.40866 | + | 0.645399i | −0.112304 | + | 0.0300919i | ||||
\(461\) | 5.29013 | + | 19.7430i | 0.246386 | + | 0.919524i | 0.972682 | + | 0.232142i | \(0.0745735\pi\) |
−0.726296 | + | 0.687382i | \(0.758760\pi\) | |||||||
\(462\) | 2.83419 | + | 3.01202i | 0.131858 | + | 0.140132i | ||||
\(463\) | −6.55850 | + | 6.55850i | −0.304799 | + | 0.304799i | −0.842888 | − | 0.538089i | \(-0.819146\pi\) |
0.538089 | + | 0.842888i | \(0.319146\pi\) | |||||||
\(464\) | −5.47519 | + | 3.16110i | −0.254179 | + | 0.146750i | ||||
\(465\) | 14.0679 | + | 4.86469i | 0.652382 | + | 0.225595i | ||||
\(466\) | 1.50627 | + | 5.62148i | 0.0697767 | + | 0.260410i | ||||
\(467\) | 13.9409 | − | 24.1463i | 0.645106 | − | 1.11736i | −0.339171 | − | 0.940725i | \(-0.610147\pi\) |
0.984277 | − | 0.176631i | \(-0.0565201\pi\) | |||||||
\(468\) | 6.51342 | + | 8.63571i | 0.301083 | + | 0.399186i | ||||
\(469\) | 1.23015 | + | 3.94150i | 0.0568030 | + | 0.182002i | ||||
\(470\) | 6.50190 | + | 1.74218i | 0.299910 | + | 0.0803607i | ||||
\(471\) | 2.78910 | + | 14.4503i | 0.128515 | + | 0.665834i | ||||
\(472\) | 5.36255i | 0.246831i | ||||||||
\(473\) | 4.02232 | + | 1.07778i | 0.184946 | + | 0.0495562i | ||||
\(474\) | −0.964217 | + | 13.5327i | −0.0442880 | + | 0.621579i | ||||
\(475\) | −2.91309 | − | 10.8718i | −0.133662 | − | 0.498833i | ||||
\(476\) | −17.4112 | + | 0.709415i | −0.798042 | + | 0.0325160i | ||||
\(477\) | 13.7188 | + | 1.96492i | 0.628139 | + | 0.0899674i | ||||
\(478\) | 6.16245i | 0.281864i | ||||||||
\(479\) | 20.8026 | − | 5.57403i | 0.950494 | − | 0.254684i | 0.249922 | − | 0.968266i | \(-0.419595\pi\) |
0.700572 | + | 0.713582i | \(0.252928\pi\) | |||||||
\(480\) | −2.05646 | − | 2.37199i | −0.0938639 | − | 0.108266i | ||||
\(481\) | 17.9984 | + | 30.9540i | 0.820656 | + | 1.41138i | ||||
\(482\) | − | 7.70893i | − | 0.351132i | ||||||
\(483\) | 1.81619 | − | 6.03748i | 0.0826393 | − | 0.274715i | ||||
\(484\) | 5.09274 | + | 8.82089i | 0.231488 | + | 0.400949i | ||||
\(485\) | 7.99337 | + | 13.8449i | 0.362960 | + | 0.628665i | ||||
\(486\) | 9.94120 | + | 12.0072i | 0.450942 | + | 0.544657i | ||||
\(487\) | 5.64284 | + | 5.64284i | 0.255702 | + | 0.255702i | 0.823303 | − | 0.567602i | \(-0.192129\pi\) |
−0.567602 | + | 0.823303i | \(0.692129\pi\) | |||||||
\(488\) | −0.0824267 | + | 0.307621i | −0.00373128 | + | 0.0139253i | ||||
\(489\) | −24.1238 | − | 16.3180i | −1.09092 | − | 0.737924i | ||||
\(490\) | −11.4673 | − | 5.42879i | −0.518039 | − | 0.245248i | ||||
\(491\) | 1.14945 | + | 1.99091i | 0.0518741 | + | 0.0898485i | 0.890796 | − | 0.454403i | \(-0.150147\pi\) |
−0.838922 | + | 0.544251i | \(0.816814\pi\) | |||||||
\(492\) | −12.2150 | + | 18.0581i | −0.550694 | + | 0.814122i | ||||
\(493\) | −36.0611 | + | 20.8199i | −1.62411 | + | 0.937681i | ||||
\(494\) | 22.8390 | − | 6.19499i | 1.02757 | − | 0.278726i | ||||
\(495\) | −0.695772 | + | 4.85777i | −0.0312726 | + | 0.218341i | ||||
\(496\) | −1.22720 | + | 4.57998i | −0.0551030 | + | 0.205647i | ||||
\(497\) | −2.09979 | + | 0.655347i | −0.0941885 | + | 0.0293964i | ||||
\(498\) | −6.08106 | + | 17.5854i | −0.272499 | + | 0.788021i | ||||
\(499\) | −16.0767 | + | 4.30774i | −0.719692 | + | 0.192841i | −0.600034 | − | 0.799974i | \(-0.704846\pi\) |
−0.119658 | + | 0.992815i | \(0.538180\pi\) | |||||||
\(500\) | 8.60595 | − | 8.60595i | 0.384870 | − | 0.384870i | ||||
\(501\) | −15.0373 | + | 22.2305i | −0.671817 | + | 0.993185i | ||||
\(502\) | 1.26830 | + | 4.73336i | 0.0566070 | + | 0.211260i | ||||
\(503\) | −1.59511 | − | 0.920936i | −0.0711223 | − | 0.0410625i | 0.464017 | − | 0.885826i | \(-0.346408\pi\) |
−0.535139 | + | 0.844764i | \(0.679741\pi\) | |||||||
\(504\) | 7.83554 | − | 1.26659i | 0.349023 | − | 0.0564184i | ||||
\(505\) | −16.3331 | − | 4.37644i | −0.726813 | − | 0.194749i | ||||
\(506\) | −0.620837 | + | 1.07532i | −0.0275996 | + | 0.0478039i | ||||
\(507\) | −14.8542 | − | 16.9220i | −0.659697 | − | 0.751532i | ||||
\(508\) | −7.10513 | − | 12.3064i | −0.315239 | − | 0.546010i | ||||
\(509\) | −17.9700 | + | 17.9700i | −0.796508 | + | 0.796508i | −0.982543 | − | 0.186035i | \(-0.940436\pi\) |
0.186035 | + | 0.982543i | \(0.440436\pi\) | |||||||
\(510\) | −13.5444 | − | 15.6226i | −0.599756 | − | 0.691779i | ||||
\(511\) | −5.78040 | + | 25.7191i | −0.255710 | + | 1.13775i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 32.4761 | − | 10.4104i | 1.43385 | − | 0.459630i | ||||
\(514\) | 15.6519 | − | 15.6519i | 0.690375 | − | 0.690375i | ||||
\(515\) | 3.51873 | − | 13.1321i | 0.155054 | − | 0.578669i | ||||
\(516\) | 6.03836 | − | 5.23512i | 0.265824 | − | 0.230463i | ||||
\(517\) | 2.90271 | − | 1.67588i | 0.127661 | − | 0.0737050i | ||||
\(518\) | 26.2529 | − | 1.06967i | 1.15348 | − | 0.0469984i | ||||
\(519\) | −5.44624 | − | 28.2169i | −0.239063 | − | 1.23858i | ||||
\(520\) | 4.63513 | + | 4.60673i | 0.203264 | + | 0.202018i | ||||
\(521\) | 12.5241 | − | 7.23078i | 0.548690 | − | 0.316786i | −0.199904 | − | 0.979816i | \(-0.564063\pi\) |
0.748593 | + | 0.663029i | \(0.230730\pi\) | |||||||
\(522\) | 15.1774 | − | 11.3744i | 0.664298 | − | 0.497846i | ||||
\(523\) | −32.5454 | −1.42311 | −0.711555 | − | 0.702630i | \(-0.752009\pi\) | ||||
−0.711555 | + | 0.702630i | \(0.752009\pi\) | |||||||
\(524\) | 7.93405 | − | 13.7422i | 0.346601 | − | 0.600330i | ||||
\(525\) | 1.80223 | + | 7.64917i | 0.0786558 | + | 0.333837i | ||||
\(526\) | 15.8837 | − | 4.25601i | 0.692560 | − | 0.185571i | ||||
\(527\) | −8.08270 | + | 30.1651i | −0.352088 | + | 1.31401i | ||||
\(528\) | −1.55924 | − | 0.111097i | −0.0678570 | − | 0.00483486i | ||||
\(529\) | −21.1072 | −0.917703 | ||||||||
\(530\) | 8.37294 | 0.363697 | ||||||||
\(531\) | −1.91852 | − | 15.9728i | −0.0832565 | − | 0.693163i | ||||
\(532\) | 3.80777 | − | 16.9422i | 0.165088 | − | 0.734537i | ||||
\(533\) | 22.5707 | − | 39.3726i | 0.977645 | − | 1.70541i | ||||
\(534\) | −21.4687 | − | 7.42393i | −0.929043 | − | 0.321265i | ||||
\(535\) | −9.92583 | + | 2.65962i | −0.429131 | + | 0.114985i | ||||
\(536\) | −1.35154 | − | 0.780310i | −0.0583775 | − | 0.0337042i | ||||
\(537\) | 11.4260 | − | 9.90607i | 0.493068 | − | 0.427479i | ||||
\(538\) | −6.22380 | − | 6.22380i | −0.268327 | − | 0.268327i | ||||
\(539\) | −5.94903 | + | 2.12613i | −0.256243 | + | 0.0915789i | ||||
\(540\) | 6.97395 | + | 6.32945i | 0.300111 | + | 0.272376i | ||||
\(541\) | 7.08807 | + | 26.4530i | 0.304740 | + | 1.13731i | 0.933169 | + | 0.359438i | \(0.117032\pi\) |
−0.628429 | + | 0.777867i | \(0.716302\pi\) | |||||||
\(542\) | − | 23.2483i | − | 0.998598i | ||||||
\(543\) | 7.19430 | − | 20.8047i | 0.308737 | − | 0.892815i | ||||
\(544\) | 4.65721 | − | 4.65721i | 0.199676 | − | 0.199676i | ||||
\(545\) | −10.3785 | −0.444565 | ||||||||
\(546\) | −16.0706 | + | 3.83860i | −0.687760 | + | 0.164277i | ||||
\(547\) | 21.0848 | 0.901523 | 0.450761 | − | 0.892645i | \(-0.351153\pi\) | ||||
0.450761 | + | 0.892645i | \(0.351153\pi\) | |||||||
\(548\) | −4.71149 | + | 4.71149i | −0.201265 | + | 0.201265i | ||||
\(549\) | 0.135461 | − | 0.945766i | 0.00578132 | − | 0.0403643i | ||||
\(550\) | − | 1.54770i | − | 0.0659942i | ||||||
\(551\) | −10.7395 | − | 40.0805i | −0.457520 | − | 1.70749i | ||||
\(552\) | 1.04180 | + | 2.14317i | 0.0443420 | + | 0.0912193i | ||||
\(553\) | −18.3545 | − | 9.62275i | −0.780512 | − | 0.409201i | ||||
\(554\) | −6.21580 | − | 6.21580i | −0.264084 | − | 0.264084i | ||||
\(555\) | 20.4224 | + | 23.5559i | 0.866884 | + | 0.999893i | ||||
\(556\) | 19.7757 | + | 11.4175i | 0.838676 | + | 0.484210i | ||||
\(557\) | 11.5621 | − | 3.09805i | 0.489901 | − | 0.131268i | −0.00540830 | − | 0.999985i | \(-0.501722\pi\) |
0.495309 | + | 0.868717i | \(0.335055\pi\) | |||||||
\(558\) | 2.01679 | − | 14.0809i | 0.0853776 | − | 0.596094i | ||||
\(559\) | −11.7273 | + | 11.7997i | −0.496014 | + | 0.499073i | ||||
\(560\) | 4.57762 | − | 1.42868i | 0.193440 | − | 0.0603728i | ||||
\(561\) | −10.2696 | − | 0.731714i | −0.433581 | − | 0.0308930i | ||||
\(562\) | −8.17331 | −0.344770 | ||||||||
\(563\) | −47.0112 | −1.98129 | −0.990644 | − | 0.136475i | \(-0.956423\pi\) | ||||
−0.990644 | + | 0.136475i | \(0.956423\pi\) | |||||||
\(564\) | 0.457164 | − | 6.41627i | 0.0192501 | − | 0.270174i | ||||
\(565\) | 4.59991 | − | 17.1671i | 0.193520 | − | 0.722225i | ||||
\(566\) | 17.6312 | − | 4.72427i | 0.741096 | − | 0.198576i | ||||
\(567\) | −22.8857 | + | 6.57591i | −0.961111 | + | 0.276162i | ||||
\(568\) | 0.415701 | − | 0.720015i | 0.0174424 | − | 0.0302112i | ||||
\(569\) | 4.26338 | 0.178730 | 0.0893650 | − | 0.995999i | \(-0.471516\pi\) | ||||
0.0893650 | + | 0.995999i | \(0.471516\pi\) | |||||||
\(570\) | 18.5309 | − | 9.00791i | 0.776172 | − | 0.377300i | ||||
\(571\) | 9.82900 | − | 5.67478i | 0.411331 | − | 0.237482i | −0.280031 | − | 0.959991i | \(-0.590345\pi\) |
0.691361 | + | 0.722509i | \(0.257011\pi\) | |||||||
\(572\) | 3.25402 | − | 0.0100018i | 0.136057 | − | 0.000418197i | ||||
\(573\) | 9.57867 | − | 1.84881i | 0.400155 | − | 0.0772353i | ||||
\(574\) | −17.8114 | − | 28.1387i | −0.743433 | − | 1.17449i | ||||
\(575\) | −2.04326 | + | 1.17968i | −0.0852099 | + | 0.0491960i | ||||
\(576\) | −1.85321 | + | 2.35916i | −0.0772169 | + | 0.0982982i | ||||
\(577\) | 5.42876 | − | 20.2604i | 0.226002 | − | 0.843452i | −0.755998 | − | 0.654574i | \(-0.772848\pi\) |
0.982001 | − | 0.188878i | \(-0.0604851\pi\) | |||||||
\(578\) | 18.6529 | − | 18.6529i | 0.775857 | − | 0.775857i | ||||
\(579\) | −0.739007 | + | 10.3719i | −0.0307121 | + | 0.431042i | ||||
\(580\) | 8.10267 | − | 8.10267i | 0.336445 | − | 0.336445i | ||||
\(581\) | −20.8996 | − | 19.2631i | −0.867060 | − | 0.799170i | ||||
\(582\) | 11.5431 | − | 10.0076i | 0.478476 | − | 0.414828i | ||||
\(583\) | 2.94807 | − | 2.94807i | 0.122097 | − | 0.122097i | ||||
\(584\) | −4.98171 | − | 8.62857i | −0.206144 | − | 0.357053i | ||||
\(585\) | −15.4543 | − | 12.0633i | −0.638956 | − | 0.498756i | ||||
\(586\) | 1.90991 | − | 3.30805i | 0.0788975 | − | 0.136654i | ||||
\(587\) | 23.1964 | + | 6.21546i | 0.957419 | + | 0.256540i | 0.703508 | − | 0.710688i | \(-0.251616\pi\) |
0.253911 | + | 0.967227i | \(0.418283\pi\) | |||||||
\(588\) | −3.01706 | + | 11.7430i | −0.124422 | + | 0.484272i | ||||
\(589\) | −26.9508 | − | 15.5601i | −1.11049 | − | 0.641141i | ||||
\(590\) | −2.51561 | − | 9.38837i | −0.103566 | − | 0.386513i | ||||
\(591\) | 0.193206 | + | 0.130690i | 0.00794742 | + | 0.00537585i | ||||
\(592\) | −7.02220 | + | 7.02220i | −0.288611 | + | 0.288611i | ||||
\(593\) | −3.62674 | + | 0.971782i | −0.148932 | + | 0.0399063i | −0.332515 | − | 0.943098i | \(-0.607897\pi\) |
0.183583 | + | 0.983004i | \(0.441231\pi\) | |||||||
\(594\) | 4.68407 | − | 0.226923i | 0.192190 | − | 0.00931077i | ||||
\(595\) | 30.1495 | − | 9.40970i | 1.23601 | − | 0.385760i | ||||
\(596\) | −2.70140 | + | 10.0818i | −0.110654 | + | 0.412965i | ||||
\(597\) | −8.74272 | + | 25.2825i | −0.357816 | + | 1.03474i | ||||
\(598\) | −2.49346 | − | 4.28831i | −0.101965 | − | 0.175362i | ||||
\(599\) | 6.17618 | − | 3.56582i | 0.252352 | − | 0.145695i | −0.368489 | − | 0.929632i | \(-0.620125\pi\) |
0.620841 | + | 0.783937i | \(0.286791\pi\) | |||||||
\(600\) | −2.46028 | − | 1.66420i | −0.100441 | − | 0.0679407i | ||||
\(601\) | −19.7330 | − | 34.1785i | −0.804924 | − | 1.39417i | −0.916342 | − | 0.400396i | \(-0.868872\pi\) |
0.111418 | − | 0.993774i | \(-0.464461\pi\) | |||||||
\(602\) | 3.63700 | + | 11.6533i | 0.148233 | + | 0.474951i | ||||
\(603\) | 4.30484 | + | 1.84070i | 0.175307 | + | 0.0749589i | ||||
\(604\) | −2.89683 | + | 10.8111i | −0.117870 | + | 0.439898i | ||||
\(605\) | −13.0539 | − | 13.0539i | −0.530718 | − | 0.530718i | ||||
\(606\) | −1.14842 | + | 16.1180i | −0.0466513 | + | 0.654748i | ||||
\(607\) | 3.08875 | + | 5.34988i | 0.125369 | + | 0.217145i | 0.921877 | − | 0.387483i | \(-0.126655\pi\) |
−0.796508 | + | 0.604628i | \(0.793322\pi\) | |||||||
\(608\) | 3.28164 | + | 5.68397i | 0.133088 | + | 0.230516i | ||||
\(609\) | 6.64419 | + | 28.1998i | 0.269236 | + | 1.14271i | ||||
\(610\) | − | 0.577227i | − | 0.0233712i | ||||||
\(611\) | 0.0411576 | + | 13.3903i | 0.00166506 | + | 0.541715i | ||||
\(612\) | −12.2057 | + | 15.5381i | −0.493388 | + | 0.628090i | ||||
\(613\) | 9.44086 | − | 2.52967i | 0.381313 | − | 0.102172i | −0.0630708 | − | 0.998009i | \(-0.520089\pi\) |
0.444384 | + | 0.895837i | \(0.353423\pi\) | |||||||
\(614\) | − | 16.8438i | − | 0.679761i | ||||||
\(615\) | 12.9139 | − | 37.3449i | 0.520740 | − | 1.50589i | ||||
\(616\) | 1.10873 | − | 2.11479i | 0.0446719 | − | 0.0852075i | ||||
\(617\) | 1.15991 | + | 4.32885i | 0.0466963 | + | 0.174273i | 0.985336 | − | 0.170627i | \(-0.0545794\pi\) |
−0.938639 | + | 0.344900i | \(0.887913\pi\) | |||||||
\(618\) | −12.9591 | − | 0.923348i | −0.521293 | − | 0.0371425i | ||||
\(619\) | −42.6846 | − | 11.4373i | −1.71564 | − | 0.459704i | −0.738843 | − | 0.673878i | \(-0.764628\pi\) |
−0.976796 | + | 0.214173i | \(0.931294\pi\) | |||||||
\(620\) | − | 8.59399i | − | 0.345143i | ||||||
\(621\) | −3.86984 | − | 6.01091i | −0.155291 | − | 0.241209i | ||||
\(622\) | 23.4683 | + | 6.28830i | 0.940991 | + | 0.252138i | ||||
\(623\) | 23.5170 | − | 25.5147i | 0.942187 | − | 1.02223i | ||||
\(624\) | 3.48306 | − | 5.18346i | 0.139434 | − | 0.207505i | ||||
\(625\) | −6.74235 | + | 11.6781i | −0.269694 | + | 0.467123i | ||||
\(626\) | 4.01781 | + | 14.9947i | 0.160584 | + | 0.599307i | ||||
\(627\) | 3.35299 | − | 9.69628i | 0.133906 | − | 0.387232i | ||||
\(628\) | 7.35849 | − | 4.24843i | 0.293636 | − | 0.169531i | ||||
\(629\) | −46.2502 | + | 46.2502i | −1.84412 | + | 1.84412i | ||||
\(630\) | −13.1237 | + | 5.89316i | −0.522862 | + | 0.234789i | ||||
\(631\) | 5.66403 | + | 21.1384i | 0.225481 | + | 0.841508i | 0.982211 | + | 0.187780i | \(0.0601292\pi\) |
−0.756730 | + | 0.653728i | \(0.773204\pi\) | |||||||
\(632\) | 7.56603 | − | 2.02731i | 0.300961 | − | 0.0806422i | ||||
\(633\) | 5.47833 | + | 28.3832i | 0.217744 | + | 1.12813i | ||||
\(634\) | −23.1024 | − | 13.3382i | −0.917512 | − | 0.529726i | ||||
\(635\) | 18.2122 | + | 18.2122i | 0.722728 | + | 0.722728i | ||||
\(636\) | −1.51638 | − | 7.85635i | −0.0601285 | − | 0.311525i | ||||
\(637\) | 4.45098 | − | 24.8433i | 0.176354 | − | 0.984327i | ||||
\(638\) | − | 5.70583i | − | 0.225896i | ||||||
\(639\) | −0.980609 | + | 2.29335i | −0.0387923 | + | 0.0907236i | ||||
\(640\) | −0.906243 | + | 1.56966i | −0.0358224 | + | 0.0620462i | ||||
\(641\) | −45.5041 | −1.79731 | −0.898653 | − | 0.438661i | \(-0.855453\pi\) | ||||
−0.898653 | + | 0.438661i | \(0.855453\pi\) | |||||||
\(642\) | 4.29315 | + | 8.83177i | 0.169437 | + | 0.348562i | ||||
\(643\) | 18.4734 | − | 4.94992i | 0.728518 | − | 0.195206i | 0.124549 | − | 0.992213i | \(-0.460252\pi\) |
0.603969 | + | 0.797008i | \(0.293585\pi\) | |||||||
\(644\) | −3.63702 | + | 0.148189i | −0.143319 | + | 0.00583948i | ||||
\(645\) | −8.11571 | + | 11.9979i | −0.319556 | + | 0.472417i | ||||
\(646\) | 21.6138 | + | 37.4363i | 0.850385 | + | 1.47291i | ||||
\(647\) | −6.77867 | + | 11.7410i | −0.266497 | + | 0.461587i | −0.967955 | − | 0.251124i | \(-0.919200\pi\) |
0.701458 | + | 0.712711i | \(0.252533\pi\) | |||||||
\(648\) | 4.67593 | − | 7.68997i | 0.183688 | − | 0.302091i | ||||
\(649\) | −4.19134 | − | 2.41987i | −0.164524 | − | 0.0949882i | ||||
\(650\) | 5.36422 | + | 3.07509i | 0.210402 | + | 0.120615i | ||||
\(651\) | 18.4784 | + | 11.4313i | 0.724226 | + | 0.448030i | ||||
\(652\) | −4.35204 | + | 16.2420i | −0.170439 | + | 0.636088i | ||||
\(653\) | − | 7.89746i | − | 0.309052i | −0.987989 | − | 0.154526i | \(-0.950615\pi\) | ||
0.987989 | − | 0.154526i | \(-0.0493850\pi\) | |||||||
\(654\) | 1.87959 | + | 9.73815i | 0.0734980 | + | 0.380792i | ||||
\(655\) | −7.44383 | + | 27.7807i | −0.290854 | + | 1.08548i | ||||
\(656\) | 12.1581 | + | 3.25776i | 0.474696 | + | 0.127194i | ||||
\(657\) | 17.9254 | + | 23.9187i | 0.699338 | + | 0.933158i | ||||
\(658\) | 8.70240 | + | 4.56243i | 0.339255 | + | 0.177862i | ||||
\(659\) | −27.0573 | − | 15.6216i | −1.05400 | − | 0.608530i | −0.130237 | − | 0.991483i | \(-0.541574\pi\) |
−0.923768 | + | 0.382953i | \(0.874907\pi\) | |||||||
\(660\) | 2.78191 | − | 0.536947i | 0.108286 | − | 0.0209006i | ||||
\(661\) | 10.0623 | + | 37.5529i | 0.391377 | + | 1.46064i | 0.827865 | + | 0.560927i | \(0.189555\pi\) |
−0.436488 | + | 0.899710i | \(0.643778\pi\) | |||||||
\(662\) | −6.38975 | − | 11.0674i | −0.248345 | − | 0.430146i | ||||
\(663\) | 22.9404 | − | 34.1398i | 0.890932 | − | 1.32588i | ||||
\(664\) | 10.7428 | 0.416903 | ||||||||
\(665\) | 1.28132 | + | 31.4474i | 0.0496873 | + | 1.21948i | ||||
\(666\) | 18.4040 | − | 23.4285i | 0.713140 | − | 0.907837i | ||||
\(667\) | −7.53279 | + | 4.34906i | −0.291671 | + | 0.168396i | ||||
\(668\) | 14.9673 | + | 4.01048i | 0.579103 | + | 0.155170i | ||||
\(669\) | −18.3152 | + | 27.0764i | −0.708107 | + | 1.04683i | ||||
\(670\) | 2.73222 | + | 0.732096i | 0.105555 | + | 0.0282833i | ||||
\(671\) | −0.203239 | − | 0.203239i | −0.00784596 | − | 0.00784596i | ||||
\(672\) | −2.16957 | − | 4.03646i | −0.0836929 | − | 0.155710i | ||||
\(673\) | −26.8382 | + | 15.4950i | −1.03453 | + | 0.597289i | −0.918281 | − | 0.395930i | \(-0.870422\pi\) |
−0.116254 | + | 0.993219i | \(0.537089\pi\) | |||||||
\(674\) | −4.37088 | − | 4.37088i | −0.168360 | − | 0.168360i | ||||
\(675\) | 7.92356 | + | 4.07678i | 0.304978 | + | 0.156915i | ||||
\(676\) | −6.43067 | + | 11.2981i | −0.247333 | + | 0.434541i | ||||
\(677\) | 11.6126 | + | 6.70454i | 0.446309 | + | 0.257676i | 0.706270 | − | 0.707943i | \(-0.250376\pi\) |
−0.259961 | + | 0.965619i | \(0.583710\pi\) | |||||||
\(678\) | −16.9410 | − | 1.20706i | −0.650615 | − | 0.0463568i | ||||
\(679\) | 6.95257 | + | 22.2767i | 0.266815 | + | 0.854900i | ||||
\(680\) | −5.96878 | + | 10.3382i | −0.228892 | + | 0.396453i | ||||
\(681\) | 9.60140 | − | 4.66727i | 0.367927 | − | 0.178850i | ||||
\(682\) | −3.02591 | − | 3.02591i | −0.115868 | − | 0.115868i | ||||
\(683\) | −0.158767 | − | 0.158767i | −0.00607506 | − | 0.00607506i | 0.704063 | − | 0.710138i | \(-0.251367\pi\) |
−0.710138 | + | 0.704063i | \(0.751367\pi\) | |||||||
\(684\) | −11.8082 | − | 15.7562i | −0.451497 | − | 0.602453i | ||||
\(685\) | 6.03834 | − | 10.4587i | 0.230713 | − | 0.399607i | ||||
\(686\) | −14.5941 | − | 11.4023i | −0.557205 | − | 0.435342i | ||||
\(687\) | 3.69940 | − | 51.9209i | 0.141141 | − | 1.98090i | ||||
\(688\) | −3.99588 | − | 2.30702i | −0.152342 | − | 0.0879545i | ||||
\(689\) | 4.36036 | + | 16.0753i | 0.166116 | + | 0.612419i | ||||
\(690\) | −2.82928 | − | 3.26339i | −0.107709 | − | 0.124235i | ||||
\(691\) | 24.7594 | + | 24.7594i | 0.941894 | + | 0.941894i | 0.998402 | − | 0.0565085i | \(-0.0179968\pi\) |
−0.0565085 | + | 0.998402i | \(0.517997\pi\) | |||||||
\(692\) | −14.3688 | + | 8.29585i | −0.546221 | + | 0.315361i | ||||
\(693\) | −2.54586 | + | 6.69577i | −0.0967091 | + | 0.254351i | ||||
\(694\) | 7.06855 | + | 7.06855i | 0.268318 | + | 0.268318i | ||||
\(695\) | −39.9779 | − | 10.7120i | −1.51645 | − | 0.406331i | ||||
\(696\) | −9.07020 | − | 6.13532i | −0.343805 | − | 0.232559i | ||||
\(697\) | 80.0770 | + | 21.4566i | 3.03313 | + | 0.812725i | ||||
\(698\) | −18.7204 | + | 10.8082i | −0.708578 | + | 0.409098i | ||||
\(699\) | −7.61630 | + | 6.60316i | −0.288075 | + | 0.249754i | ||||
\(700\) | 3.83370 | − | 2.42667i | 0.144900 | − | 0.0917196i | ||||
\(701\) | 4.70332 | 0.177642 | 0.0888209 | − | 0.996048i | \(-0.471690\pi\) | ||||
0.0888209 | + | 0.996048i | \(0.471690\pi\) | |||||||
\(702\) | −8.52017 | + | 16.6855i | −0.321573 | + | 0.629755i | ||||
\(703\) | −32.5896 | − | 56.4469i | −1.22914 | − | 2.12893i | ||||
\(704\) | 0.233586 | + | 0.871755i | 0.00880360 | + | 0.0328555i | ||||
\(705\) | 2.20954 | + | 11.4476i | 0.0832162 | + | 0.431142i | ||||
\(706\) | 9.30877 | + | 5.37442i | 0.350340 | + | 0.202269i | ||||
\(707\) | −21.8609 | − | 11.4610i | −0.822162 | − | 0.431037i | ||||
\(708\) | −8.35354 | + | 4.06068i | −0.313945 | + | 0.152610i | ||||
\(709\) | 34.6183 | + | 9.27595i | 1.30012 | + | 0.348366i | 0.841495 | − | 0.540265i | \(-0.181676\pi\) |
0.458624 | + | 0.888631i | \(0.348343\pi\) | |||||||
\(710\) | −0.390016 | + | 1.45556i | −0.0146370 | + | 0.0546261i | ||||
\(711\) | −21.8108 | + | 8.74537i | −0.817970 | + | 0.327977i | ||||
\(712\) | 13.1151i | 0.491511i | ||||||||
\(713\) | −1.68839 | + | 6.30116i | −0.0632308 | + | 0.235980i | ||||
\(714\) | −14.2894 | − | 26.5852i | −0.534767 | − | 0.994928i | ||||
\(715\) | −5.69221 | + | 1.54399i | −0.212877 | + | 0.0577420i | ||||
\(716\) | −7.56115 | − | 4.36543i | −0.282573 | − | 0.163144i | ||||
\(717\) | −9.59959 | + | 4.66639i | −0.358503 | + | 0.174269i | ||||
\(718\) | 11.3275 | − | 19.6198i | 0.422739 | − | 0.732205i | ||||
\(719\) | 8.67999 | + | 15.0342i | 0.323709 | + | 0.560681i | 0.981250 | − | 0.192738i | \(-0.0617368\pi\) |
−0.657541 | + | 0.753419i | \(0.728403\pi\) | |||||||
\(720\) | 2.13776 | − | 4.99959i | 0.0796698 | − | 0.186324i | ||||
\(721\) | 9.21489 | − | 17.5765i | 0.343180 | − | 0.654584i | ||||
\(722\) | −23.2563 | + | 6.23151i | −0.865511 | + | 0.231913i | ||||
\(723\) | 12.0086 | − | 5.83743i | 0.446606 | − | 0.217096i | ||||
\(724\) | −12.7095 | −0.472344 | ||||||||
\(725\) | 5.42094 | − | 9.38935i | 0.201329 | − | 0.348712i | ||||
\(726\) | −9.88441 | + | 14.6127i | −0.366845 | + | 0.542328i | ||||
\(727\) | 2.82499i | 0.104773i | 0.998627 | + | 0.0523865i | \(0.0166828\pi\) | ||||
−0.998627 | + | 0.0523865i | \(0.983317\pi\) | |||||||
\(728\) | 5.12682 | + | 8.04461i | 0.190013 | + | 0.298153i | ||||
\(729\) | −11.1765 | + | 24.5782i | −0.413945 | + | 0.910302i | ||||
\(730\) | 12.7693 | + | 12.7693i | 0.472614 | + | 0.472614i | ||||
\(731\) | −26.3180 | − | 15.1947i | −0.973407 | − | 0.561997i | ||||
\(732\) | −0.541614 | + | 0.104539i | −0.0200186 | + | 0.00386387i | ||||
\(733\) | −9.70415 | + | 2.60022i | −0.358431 | + | 0.0960413i | −0.433541 | − | 0.901134i | \(-0.642736\pi\) |
0.0751097 | + | 0.997175i | \(0.476069\pi\) | |||||||
\(734\) | −1.00574 | − | 3.75346i | −0.0371225 | − | 0.138543i | ||||
\(735\) | −0.226646 | − | 21.9741i | −0.00835995 | − | 0.810526i | ||||
\(736\) | 0.972841 | − | 0.972841i | 0.0358594 | − | 0.0358594i | ||||
\(737\) | 1.21977 | − | 0.704235i | 0.0449308 | − | 0.0259408i | ||||
\(738\) | −37.3796 | − | 5.35383i | −1.37596 | − | 0.197077i | ||||
\(739\) | −0.242805 | − | 0.906159i | −0.00893171 | − | 0.0333336i | 0.961316 | − | 0.275447i | \(-0.0888260\pi\) |
−0.970248 | + | 0.242114i | \(0.922159\pi\) | |||||||
\(740\) | 8.99980 | − | 15.5881i | 0.330839 | − | 0.573030i | ||||
\(741\) | 26.9446 | + | 30.8865i | 0.989836 | + | 1.13465i | ||||
\(742\) | 11.9248 | + | 2.68011i | 0.437773 | + | 0.0983899i | ||||
\(743\) | 33.4454 | + | 8.96168i | 1.22699 | + | 0.328772i | 0.813408 | − | 0.581693i | \(-0.197610\pi\) |
0.413586 | + | 0.910465i | \(0.364276\pi\) | |||||||
\(744\) | −8.06377 | + | 1.55642i | −0.295632 | + | 0.0570610i | ||||
\(745\) | − | 18.9177i | − | 0.693090i | ||||||
\(746\) | −7.16253 | − | 1.91919i | −0.262239 | − | 0.0702667i | ||||
\(747\) | −31.9985 | + | 3.84338i | −1.17076 | + | 0.140622i | ||||
\(748\) | 1.53846 | + | 5.74162i | 0.0562518 | + | 0.209935i | ||||
\(749\) | −14.9878 | + | 0.610673i | −0.547641 | + | 0.0223135i | ||||
\(750\) | 19.9227 | + | 6.88929i | 0.727472 | + | 0.251561i | ||||
\(751\) | − | 22.2196i | − | 0.810805i | −0.914138 | − | 0.405403i | \(-0.867131\pi\) | ||
0.914138 | − | 0.405403i | \(-0.132869\pi\) | |||||||
\(752\) | −3.58728 | + | 0.961209i | −0.130815 | + | 0.0350517i | ||||
\(753\) | −6.41302 | + | 5.55994i | −0.233703 | + | 0.202615i | ||||
\(754\) | 19.7760 | + | 11.3368i | 0.720200 | + | 0.412861i | ||||
\(755\) | − | 20.2863i | − | 0.738292i | ||||||
\(756\) | 7.90635 | + | 11.2468i | 0.287551 | + | 0.409041i | ||||
\(757\) | 19.9696 | + | 34.5883i | 0.725807 | + | 1.25713i | 0.958641 | + | 0.284618i | \(0.0918667\pi\) |
−0.232834 | + | 0.972516i | \(0.574800\pi\) | |||||||
\(758\) | 4.78011 | + | 8.27939i | 0.173621 | + | 0.300721i | ||||
\(759\) | −2.14520 | − | 0.152847i | −0.0778660 | − | 0.00554800i | ||||
\(760\) | −8.41165 | − | 8.41165i | −0.305123 | − | 0.305123i | ||||
\(761\) | 0.754848 | − | 2.81713i | 0.0273632 | − | 0.102121i | −0.950894 | − | 0.309518i | \(-0.899832\pi\) |
0.978257 | + | 0.207397i | \(0.0664991\pi\) | |||||||
\(762\) | 13.7902 | − | 20.3869i | 0.499567 | − | 0.738538i | ||||
\(763\) | −14.7811 | − | 3.32206i | −0.535112 | − | 0.120267i | ||||
\(764\) | −2.81616 | − | 4.87773i | −0.101885 | − | 0.176470i | ||||
\(765\) | 14.0799 | − | 32.9287i | 0.509061 | − | 1.19054i | ||||
\(766\) | −18.3476 | + | 10.5930i | −0.662926 | + | 0.382741i | ||||
\(767\) | 16.7148 | − | 9.71890i | 0.603535 | − | 0.350929i | ||||
\(768\) | 1.63694 | + | 0.566057i | 0.0590681 | + | 0.0204258i | ||||
\(769\) | 9.05425 | − | 33.7909i | 0.326505 | − | 1.21853i | −0.586286 | − | 0.810104i | \(-0.699411\pi\) |
0.912791 | − | 0.408427i | \(-0.133923\pi\) | |||||||
\(770\) | −0.949019 | + | 4.22254i | −0.0342003 | + | 0.152170i | ||||
\(771\) | 36.2339 | + | 12.5297i | 1.30493 | + | 0.451248i | ||||
\(772\) | 5.79885 | − | 1.55380i | 0.208705 | − | 0.0559224i | ||||
\(773\) | 3.72808 | − | 3.72808i | 0.134090 | − | 0.134090i | −0.636876 | − | 0.770966i | \(-0.719774\pi\) |
0.770966 | + | 0.636876i | \(0.219774\pi\) | |||||||
\(774\) | 12.7275 | + | 5.44211i | 0.457479 | + | 0.195613i | ||||
\(775\) | −2.10452 | − | 7.85417i | −0.0755965 | − | 0.282130i | ||||
\(776\) | −7.63863 | − | 4.41017i | −0.274211 | − | 0.158316i | ||||
\(777\) | 21.5457 | + | 40.0856i | 0.772949 | + | 1.43806i | ||||
\(778\) | 30.2988 | + | 8.11855i | 1.08627 | + | 0.291064i | ||||
\(779\) | −41.3062 | + | 71.5444i | −1.47995 | + | 2.56334i | ||||
\(780\) | −3.66630 | + | 10.7088i | −0.131274 | + | 0.383435i | ||||
\(781\) | 0.375173 | + | 0.649819i | 0.0134247 | + | 0.0232523i | ||||
\(782\) | 6.40741 | − | 6.40741i | 0.229128 | − | 0.229128i | ||||
\(783\) | 29.2114 | + | 15.0297i | 1.04393 | + | 0.537116i | ||||
\(784\) | 6.97680 | − | 0.569480i | 0.249171 | − | 0.0203386i | ||||
\(785\) | −10.8898 | + | 10.8898i | −0.388672 | + | 0.388672i | ||||
\(786\) | 27.4149 | + | 1.95333i | 0.977856 | + | 0.0696729i | ||||
\(787\) | −3.00075 | + | 3.00075i | −0.106965 | + | 0.106965i | −0.758564 | − | 0.651599i | \(-0.774099\pi\) |
0.651599 | + | 0.758564i | \(0.274099\pi\) | |||||||
\(788\) | 0.0348552 | − | 0.130081i | 0.00124167 | − | 0.00463396i | ||||
\(789\) | 18.6574 | + | 21.5201i | 0.664221 | + | 0.766135i | ||||
\(790\) | −12.2950 | + | 7.09855i | −0.437438 | + | 0.252555i | ||||
\(791\) | 12.0463 | − | 22.9771i | 0.428316 | − | 0.816972i | ||||
\(792\) | −1.00764 | − | 2.51303i | −0.0358048 | − | 0.0892967i | ||||
\(793\) | 1.10822 | − | 0.300601i | 0.0393542 | − | 0.0106747i | ||||
\(794\) | −22.7781 | + | 13.1509i | −0.808364 | + | 0.466709i | ||||
\(795\) | 6.34024 | + | 13.0430i | 0.224865 | + | 0.462587i | ||||
\(796\) | 15.4449 | 0.547431 | ||||||||
\(797\) | 5.97249 | − | 10.3447i | 0.211557 | − | 0.366427i | −0.740645 | − | 0.671896i | \(-0.765480\pi\) |
0.952202 | + | 0.305470i | \(0.0988134\pi\) | |||||||
\(798\) | 29.2752 | − | 6.89755i | 1.03633 | − | 0.244171i | ||||
\(799\) | −23.6269 | + | 6.33080i | −0.835858 | + | 0.223968i | ||||
\(800\) | −0.443847 | + | 1.65646i | −0.0156923 | + | 0.0585646i | ||||
\(801\) | −4.69210 | − | 39.0647i | −0.165787 | − | 1.38028i | ||||
\(802\) | −6.22922 | −0.219961 | ||||||||
\(803\) | 8.99205 | 0.317323 | ||||||||
\(804\) | 0.192109 | − | 2.69624i | 0.00677515 | − | 0.0950889i | ||||
\(805\) | 6.29792 | − | 1.96559i | 0.221972 | − | 0.0692779i | ||||
\(806\) | 16.4997 | − | 4.47548i | 0.581176 | − | 0.157642i | ||||
\(807\) | 4.98232 | − | 14.4080i | 0.175386 | − | 0.507186i | ||||
\(808\) | 9.01142 | − | 2.41460i | 0.317021 | − | 0.0849455i | ||||
\(809\) | 24.1570 | + | 13.9470i | 0.849314 | + | 0.490352i | 0.860419 | − | 0.509587i | \(-0.170202\pi\) |
−0.0111055 | + | 0.999938i | \(0.503535\pi\) | |||||||
\(810\) | −4.57886 | + | 15.6566i | −0.160885 | + | 0.550115i | ||||
\(811\) | −13.1791 | − | 13.1791i | −0.462781 | − | 0.462781i | 0.436785 | − | 0.899566i | \(-0.356117\pi\) |
−0.899566 | + | 0.436785i | \(0.856117\pi\) | |||||||
\(812\) | 14.1335 | − | 8.94629i | 0.495988 | − | 0.313953i | ||||
\(813\) | 36.2151 | − | 17.6043i | 1.27012 | − | 0.617409i | ||||
\(814\) | −2.31972 | − | 8.65730i | −0.0813060 | − | 0.303438i | ||||
\(815\) | − | 30.4770i | − | 1.06756i | ||||||
\(816\) | 10.7814 | + | 3.72822i | 0.377423 | + | 0.130514i | ||||
\(817\) | 21.4135 | − | 21.4135i | 0.749165 | − | 0.749165i | ||||
\(818\) | −11.0912 | −0.387794 | ||||||||
\(819\) | −18.1488 | − | 22.1274i | −0.634169 | − | 0.773195i | ||||
\(820\) | −22.8138 | −0.796694 | ||||||||
\(821\) | 29.3117 | − | 29.3117i | 1.02298 | − | 1.02298i | 0.0232551 | − | 0.999730i | \(-0.492597\pi\) |
0.999730 | − | 0.0232551i | \(-0.00740300\pi\) | |||||||
\(822\) | −10.9070 | − | 3.77167i | −0.380426 | − | 0.131552i | ||||
\(823\) | 17.3698i | 0.605472i | 0.953075 | + | 0.302736i | \(0.0979000\pi\) | ||||
−0.953075 | + | 0.302736i | \(0.902100\pi\) | |||||||
\(824\) | 1.94138 | + | 7.24535i | 0.0676313 | + | 0.252404i | ||||
\(825\) | 2.41094 | − | 1.17197i | 0.0839382 | − | 0.0408026i | ||||
\(826\) | −0.577606 | − | 14.1762i | −0.0200975 | − | 0.493254i | ||||
\(827\) | −19.6554 | − | 19.6554i | −0.683486 | − | 0.683486i | 0.277298 | − | 0.960784i | \(-0.410561\pi\) |
−0.960784 | + | 0.277298i | \(0.910561\pi\) | |||||||
\(828\) | −2.54965 | + | 3.24574i | −0.0886065 | + | 0.112797i | ||||
\(829\) | 4.64439 | + | 2.68144i | 0.161306 | + | 0.0931303i | 0.578480 | − | 0.815696i | \(-0.303646\pi\) |
−0.417174 | + | 0.908827i | \(0.636979\pi\) | |||||||
\(830\) | −18.8078 | + | 5.03953i | −0.652828 | + | 0.174925i | ||||
\(831\) | 4.97591 | − | 14.3895i | 0.172613 | − | 0.499166i | ||||
\(832\) | −3.48555 | − | 0.922476i | −0.120840 | − | 0.0319811i | ||||
\(833\) | 45.9512 | − | 3.75076i | 1.59211 | − | 0.129956i | ||||
\(834\) | −2.81094 | + | 39.4514i | −0.0973348 | + | 1.36609i | ||||
\(835\) | −28.0851 | −0.971923 | ||||||||
\(836\) | −5.92341 | −0.204865 | ||||||||
\(837\) | 23.4618 | − | 7.52084i | 0.810960 | − | 0.259958i | ||||
\(838\) | −5.37466 | + | 20.0585i | −0.185665 | + | 0.692910i | ||||
\(839\) | 18.8876 | − | 5.06091i | 0.652071 | − | 0.174722i | 0.0824061 | − | 0.996599i | \(-0.473740\pi\) |
0.569665 | + | 0.821877i | \(0.307073\pi\) | |||||||
\(840\) | 5.69185 | + | 6.04898i | 0.196387 | + | 0.208710i | ||||
\(841\) | 5.48511 | − | 9.50049i | 0.189142 | − | 0.327603i | ||||
\(842\) | −5.76539 | −0.198689 | ||||||||
\(843\) | −6.18907 | − | 12.7320i | −0.213163 | − | 0.438514i | ||||
\(844\) | 14.4535 | − | 8.34474i | 0.497510 | − | 0.287238i | ||||
\(845\) | 5.95836 | − | 22.7965i | 0.204974 | − | 0.784224i | ||||
\(846\) | 10.3412 | − | 4.14644i | 0.355536 | − | 0.142558i | ||||
\(847\) | −14.4131 | − | 22.7700i | −0.495239 | − | 0.782386i | ||||
\(848\) | −4.00068 | + | 2.30979i | −0.137384 | + | 0.0793186i | ||||
\(849\) | 20.7101 | + | 23.8878i | 0.710770 | + | 0.819826i | ||||
\(850\) | −2.92330 | + | 10.9099i | −0.100268 | + | 0.374207i | ||||
\(851\) | −9.66118 | + | 9.66118i | −0.331181 | + | 0.331181i | ||||
\(852\) | 1.43639 | + | 0.102344i | 0.0492099 | + | 0.00350624i | ||||
\(853\) | 23.1719 | − | 23.1719i | 0.793391 | − | 0.793391i | −0.188653 | − | 0.982044i | \(-0.560412\pi\) |
0.982044 | + | 0.188653i | \(0.0604120\pi\) | |||||||
\(854\) | 0.184766 | − | 0.822091i | 0.00632255 | − | 0.0281314i | ||||
\(855\) | 28.0642 | + | 22.0455i | 0.959777 | + | 0.753940i | ||||
\(856\) | 4.00898 | − | 4.00898i | 0.137024 | − | 0.137024i | ||||
\(857\) | 11.3306 | + | 19.6252i | 0.387046 | + | 0.670383i | 0.992051 | − | 0.125839i | \(-0.0401622\pi\) |
−0.605005 | + | 0.796222i | \(0.706829\pi\) | |||||||
\(858\) | 2.47962 | + | 5.06139i | 0.0846529 | + | 0.172793i | ||||
\(859\) | 2.02468 | − | 3.50686i | 0.0690813 | − | 0.119652i | −0.829416 | − | 0.558632i | \(-0.811327\pi\) |
0.898497 | + | 0.438979i | \(0.144660\pi\) | |||||||
\(860\) | 8.07794 | + | 2.16448i | 0.275456 | + | 0.0738081i | ||||
\(861\) | 30.3459 | − | 49.0533i | 1.03419 | − | 1.67173i | ||||
\(862\) | 21.0080 | + | 12.1290i | 0.715535 | + | 0.413114i | ||||
\(863\) | 4.39948 | + | 16.4191i | 0.149760 | + | 0.558912i | 0.999497 | + | 0.0317057i | \(0.0100939\pi\) |
−0.849737 | + | 0.527207i | \(0.823239\pi\) | |||||||
\(864\) | −5.07829 | − | 1.10042i | −0.172767 | − | 0.0374370i | ||||
\(865\) | 21.2643 | − | 21.2643i | 0.723007 | − | 0.723007i | ||||
\(866\) | −6.63950 | + | 1.77905i | −0.225619 | + | 0.0604545i | ||||
\(867\) | 43.1811 | + | 14.9321i | 1.46651 | + | 0.507121i | ||||
\(868\) | 2.75087 | − | 12.2396i | 0.0933705 | − | 0.415440i | ||||
\(869\) | −1.82966 | + | 6.82840i | −0.0620671 | + | 0.231638i | ||||
\(870\) | 18.7576 | + | 6.48640i | 0.635941 | + | 0.219910i | ||||
\(871\) | 0.0172952 | + | 5.62687i | 0.000586025 | + | 0.190659i | ||||
\(872\) | 4.95894 | − | 2.86305i | 0.167931 | − | 0.0969550i | ||||
\(873\) | 24.3301 | + | 10.4033i | 0.823451 | + | 0.352097i | ||||
\(874\) | 4.51490 | + | 7.82004i | 0.152719 | + | 0.264517i | ||||
\(875\) | −21.8234 | + | 23.6773i | −0.737765 | + | 0.800438i | ||||
\(876\) | 9.66891 | − | 14.2941i | 0.326682 | − | 0.482953i | ||||
\(877\) | −11.1425 | + | 41.5843i | −0.376255 | + | 1.40420i | 0.475248 | + | 0.879852i | \(0.342358\pi\) |
−0.851503 | + | 0.524350i | \(0.824308\pi\) | |||||||
\(878\) | 6.90020 | + | 6.90020i | 0.232870 | + | 0.232870i | ||||
\(879\) | 6.59938 | + | 0.470210i | 0.222591 | + | 0.0158598i | ||||
\(880\) | −0.817891 | − | 1.41663i | −0.0275711 | − | 0.0477545i | ||||
\(881\) | −2.80656 | − | 4.86111i | −0.0945554 | − | 0.163775i | 0.814868 | − | 0.579647i | \(-0.196810\pi\) |
−0.909423 | + | 0.415872i | \(0.863476\pi\) | |||||||
\(882\) | −20.5773 | + | 4.19228i | −0.692873 | + | 0.141161i | ||||
\(883\) | 48.7239i | 1.63969i | 0.572586 | + | 0.819844i | \(0.305940\pi\) | ||||
−0.572586 | + | 0.819844i | \(0.694060\pi\) | |||||||
\(884\) | −22.9568 | − | 6.07569i | −0.772121 | − | 0.204348i | ||||
\(885\) | 12.7199 | − | 11.0278i | 0.427574 | − | 0.370697i | ||||
\(886\) | −37.9996 | + | 10.1820i | −1.27662 | + | 0.342070i | ||||
\(887\) | 18.0951i | 0.607573i | 0.952740 | + | 0.303787i | \(0.0982510\pi\) | ||||
−0.952740 | + | 0.303787i | \(0.901749\pi\) | |||||||
\(888\) | −16.2563 | − | 5.62145i | −0.545525 | − | 0.188644i | ||||
\(889\) | 20.1084 | + | 31.7675i | 0.674413 | + | 1.06545i | ||||
\(890\) | −6.15240 | − | 22.9611i | −0.206229 | − | 0.769656i | ||||
\(891\) | 3.90041 | + | 7.12480i | 0.130669 | + | 0.238690i | ||||
\(892\) | 18.2300 | + | 4.88471i | 0.610385 | + | 0.163552i | ||||
\(893\) | − | 24.3749i | − | 0.815675i | ||||||
\(894\) | −17.7505 | + | 3.42609i | −0.593666 | + | 0.114586i | ||||
\(895\) | 15.2854 | + | 4.09570i | 0.510933 | + | 0.136904i | ||||
\(896\) | −1.79311 | + | 1.94544i | −0.0599038 | + | 0.0649926i | ||||
\(897\) | 4.79201 | − | 7.13144i | 0.160001 | − | 0.238112i | ||||
\(898\) | 10.8899 | − | 18.8619i | 0.363401 | − | 0.629430i | ||||
\(899\) | −7.75862 | − | 28.9556i | −0.258764 | − | 0.965722i | ||||
\(900\) | 0.729420 | − | 5.09270i | 0.0243140 | − | 0.169757i | ||||
\(901\) | −26.3496 | + | 15.2129i | −0.877832 | + | 0.506817i | ||||
\(902\) | −8.03265 | + | 8.03265i | −0.267458 | + | 0.267458i | ||||
\(903\) | −15.3989 | + | 14.4897i | −0.512443 | + | 0.482188i | ||||
\(904\) | 2.53790 | + | 9.47156i | 0.0844092 | + | 0.315019i | ||||
\(905\) | 22.2508 | − | 5.96210i | 0.739643 | − | 0.198187i | ||||
\(906\) | −19.0347 | + | 3.67395i | −0.632384 | + | 0.122059i | ||||
\(907\) | −1.73882 | − | 1.00391i | −0.0577365 | − | 0.0333342i | 0.470854 | − | 0.882211i | \(-0.343946\pi\) |
−0.528590 | + | 0.848877i | \(0.677279\pi\) | |||||||
\(908\) | −4.35833 | − | 4.35833i | −0.144636 | − | 0.144636i | ||||
\(909\) | −25.9775 | + | 10.4161i | −0.861619 | + | 0.345479i | ||||
\(910\) | −12.7494 | − | 11.6789i | −0.422640 | − | 0.387152i | ||||
\(911\) | − | 39.1948i | − | 1.29858i | −0.760540 | − | 0.649291i | \(-0.775066\pi\) | ||
0.760540 | − | 0.649291i | \(-0.224934\pi\) | |||||||
\(912\) | −6.36928 | + | 9.41607i | −0.210908 | + | 0.311797i | ||||
\(913\) | −4.84774 | + | 8.39654i | −0.160437 | + | 0.277885i | ||||
\(914\) | −9.34252 | −0.309023 | ||||||||
\(915\) | 0.899179 | − | 0.437093i | 0.0297259 | − | 0.0144499i | ||||
\(916\) | −29.0285 | + | 7.77816i | −0.959129 | + | 0.256998i | ||||
\(917\) | −19.4939 | + | 37.1828i | −0.643747 | + | 1.22789i | ||||
\(918\) | −33.4471 | − | 7.24767i | −1.10392 | − | 0.239209i | ||||
\(919\) | 2.72787 | + | 4.72481i | 0.0899842 | + | 0.155857i | 0.907504 | − | 0.420043i | \(-0.137985\pi\) |
−0.817520 | + | 0.575900i | \(0.804652\pi\) | |||||||
\(920\) | −1.24681 | + | 2.15955i | −0.0411063 | + | 0.0711981i | ||||
\(921\) | 26.2385 | − | 12.7546i | 0.864589 | − | 0.420279i | ||||
\(922\) | 17.7011 | + | 10.2197i | 0.582955 | + | 0.336569i | ||||
\(923\) | −2.99765 | + | 0.00921381i | −0.0986688 | + | 0.000303276i | ||||
\(924\) | 4.13389 | + | 0.125744i | 0.135995 | + | 0.00413666i | ||||
\(925\) | 4.40779 | − | 16.4501i | 0.144927 | − | 0.540876i | ||||
\(926\) | 9.27511i | 0.304799i | ||||||||
\(927\) | −8.37470 | − | 20.8864i | −0.275061 | − | 0.685998i | ||||
\(928\) | −1.63631 | + | 6.10678i | −0.0537144 | + | 0.200465i | ||||
\(929\) | 58.2185 | + | 15.5996i | 1.91009 | + | 0.511807i | 0.993784 | + | 0.111324i | \(0.0355093\pi\) |
0.916305 | + | 0.400482i | \(0.131157\pi\) | |||||||
\(930\) | 13.3873 | − | 6.50762i | 0.438988 | − | 0.213393i | ||||
\(931\) | −8.24120 | + | 45.1978i | −0.270095 | + | 1.48130i | ||||
\(932\) | 5.04008 | + | 2.90989i | 0.165093 | + | 0.0953167i | ||||
\(933\) | 7.97522 | + | 41.3195i | 0.261097 | + | 1.35274i | ||||
\(934\) | −7.21632 | − | 26.9317i | −0.236125 | − | 0.881231i | ||||
\(935\) | −5.38686 | − | 9.33032i | −0.176169 | − | 0.305134i | ||||
\(936\) | 10.7120 | + | 1.50068i | 0.350134 | + | 0.0490514i | ||||
\(937\) | 26.9548 | 0.880575 | 0.440287 | − | 0.897857i | \(-0.354877\pi\) | ||||
0.440287 | + | 0.897857i | \(0.354877\pi\) | |||||||
\(938\) | 3.65691 | + | 1.91722i | 0.119402 | + | 0.0625994i | ||||
\(939\) | −20.3156 | + | 17.6132i | −0.662975 | + | 0.574784i | ||||
\(940\) | 5.82944 | − | 3.36563i | 0.190136 | − | 0.109775i | ||||
\(941\) | −20.5894 | − | 5.51692i | −0.671196 | − | 0.179846i | −0.0929026 | − | 0.995675i | \(-0.529615\pi\) |
−0.578294 | + | 0.815829i | \(0.696281\pi\) | |||||||
\(942\) | 12.1901 | + | 8.24570i | 0.397174 | + | 0.268659i | ||||
\(943\) | 16.7272 | + | 4.48205i | 0.544714 | + | 0.145956i | ||||
\(944\) | 3.79190 | + | 3.79190i | 0.123416 | + | 0.123416i | ||||
\(945\) | −19.1178 | − | 15.9811i | −0.621902 | − | 0.519865i | ||||
\(946\) | 3.60631 | − | 2.08211i | 0.117251 | − | 0.0676951i | ||||
\(947\) | −20.0900 | − | 20.0900i | −0.652838 | − | 0.652838i | 0.300838 | − | 0.953675i | \(-0.402734\pi\) |
−0.953675 | + | 0.300838i | \(0.902734\pi\) | |||||||
\(948\) | 8.88728 | + | 10.2509i | 0.288646 | + | 0.332934i | ||||
\(949\) | −17.8661 | + | 31.1658i | −0.579958 | + | 1.01169i | ||||
\(950\) | −9.74740 | − | 5.62766i | −0.316247 | − | 0.182585i | ||||
\(951\) | 3.28380 | − | 46.0879i | 0.106484 | − | 1.49450i | ||||
\(952\) | −11.8100 | + | 12.8132i | −0.382763 | + | 0.415279i | ||||
\(953\) | −2.18676 | + | 3.78759i | −0.0708363 | + | 0.122692i | −0.899268 | − | 0.437398i | \(-0.855900\pi\) |
0.828432 | + | 0.560090i | \(0.189233\pi\) | |||||||
\(954\) | 11.0900 | − | 8.31122i | 0.359053 | − | 0.269086i | ||||
\(955\) | 7.21850 | + | 7.21850i | 0.233585 | + | 0.233585i | ||||
\(956\) | 4.35751 | + | 4.35751i | 0.140932 | + | 0.140932i | ||||
\(957\) | 8.88829 | − | 4.32062i | 0.287318 | − | 0.139666i | ||||
\(958\) | 10.7682 | − | 18.6511i | 0.347905 | − | 0.602589i | ||||
\(959\) | 11.9476 | − | 12.9626i | 0.385808 | − | 0.418583i | ||||
\(960\) | −3.13138 | − | 0.223113i | −0.101065 | − | 0.00720094i | ||||
\(961\) | 7.37658 | + | 4.25887i | 0.237954 | + | 0.137383i | ||||
\(962\) | 34.6146 | + | 9.16101i | 1.11602 | + | 0.295363i | ||||
\(963\) | −10.5068 | + | 13.3754i | −0.338578 | + | 0.431015i | ||||
\(964\) | −5.45104 | − | 5.45104i | −0.175566 | − | 0.175566i | ||||
\(965\) | −9.42331 | + | 5.44055i | −0.303347 | + | 0.175138i | ||||
\(966\) | −2.98490 | − | 5.55338i | −0.0960377 | − | 0.178677i | ||||
\(967\) | 28.0679 | + | 28.0679i | 0.902603 | + | 0.902603i | 0.995661 | − | 0.0930581i | \(-0.0296642\pi\) |
−0.0930581 | + | 0.995661i | \(0.529664\pi\) | |||||||
\(968\) | 9.83842 | + | 2.63620i | 0.316219 | + | 0.0847306i | ||||
\(969\) | −41.9499 | + | 62.0169i | −1.34763 | + | 1.99227i | ||||
\(970\) | 15.4420 | + | 4.13767i | 0.495813 | + | 0.132853i | ||||
\(971\) | 1.31542 | − | 0.759459i | 0.0422139 | − | 0.0243722i | −0.478745 | − | 0.877954i | \(-0.658908\pi\) |
0.520958 | + | 0.853582i | \(0.325575\pi\) | |||||||
\(972\) | 15.5199 | + | 1.46088i | 0.497800 | + | 0.0468577i | ||||
\(973\) | −53.5080 | − | 28.0528i | −1.71539 | − | 0.899330i | ||||
\(974\) | 7.98018 | 0.255702 | ||||||||
\(975\) | −0.728292 | + | 10.6847i | −0.0233240 | + | 0.342184i | ||||
\(976\) | 0.159236 | + | 0.275805i | 0.00509703 | + | 0.00882831i | ||||
\(977\) | −8.68251 | − | 32.4036i | −0.277778 | − | 1.03668i | −0.953957 | − | 0.299944i | \(-0.903032\pi\) |
0.676179 | − | 0.736738i | \(-0.263635\pi\) | |||||||
\(978\) | −28.5966 | + | 5.51954i | −0.914420 | + | 0.176495i | ||||
\(979\) | −10.2507 | − | 5.91826i | −0.327614 | − | 0.189148i | ||||
\(980\) | −11.9473 | + | 4.26986i | −0.381643 | + | 0.136396i | ||||
\(981\) | −13.7464 | + | 10.3020i | −0.438888 | + | 0.328916i | ||||
\(982\) | 2.22057 | + | 0.595000i | 0.0708613 | + | 0.0189872i | ||||
\(983\) | 10.8387 | − | 40.4506i | 0.345701 | − | 1.29018i | −0.546089 | − | 0.837727i | \(-0.683884\pi\) |
0.891791 | − | 0.452448i | \(-0.149449\pi\) | |||||||
\(984\) | 4.13170 | + | 21.4063i | 0.131714 | + | 0.682408i | ||||
\(985\) | 0.244088i | 0.00777729i | ||||||||
\(986\) | −10.7772 | + | 40.2210i | −0.343215 | + | 1.28090i | ||||
\(987\) | −0.517436 | + | 17.0110i | −0.0164702 | + | 0.541467i | ||||
\(988\) | 11.7691 | − | 20.5301i | 0.374424 | − | 0.653150i | ||||
\(989\) | −5.49756 | − | 3.17402i | −0.174812 | − | 0.100928i | ||||
\(990\) | 2.94298 | + | 3.92695i | 0.0935340 | + | 0.124807i | ||||
\(991\) | 19.2586 | − | 33.3569i | 0.611771 | − | 1.05962i | −0.379171 | − | 0.925327i | \(-0.623791\pi\) |
0.990942 | − | 0.134291i | \(-0.0428758\pi\) | |||||||
\(992\) | 2.37077 | + | 4.10630i | 0.0752721 | + | 0.130375i | ||||
\(993\) | 12.4018 | − | 18.3342i | 0.393558 | − | 0.581819i | ||||
\(994\) | −1.02138 | + | 1.94818i | −0.0323961 | + | 0.0617924i | ||||
\(995\) | −27.0399 | + | 7.24532i | −0.857222 | + | 0.229692i | ||||
\(996\) | 8.13480 | + | 16.7347i | 0.257761 | + | 0.530260i | ||||
\(997\) | −8.97595 | −0.284271 | −0.142136 | − | 0.989847i | \(-0.545397\pi\) | ||||
−0.142136 | + | 0.989847i | \(0.545397\pi\) | |||||||
\(998\) | −8.32191 | + | 14.4140i | −0.263425 | + | 0.456266i | ||||
\(999\) | 50.4320 | + | 10.9281i | 1.59560 | + | 0.345751i |
(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.ch.a.401.37 | yes | 152 | |
3.2 | odd | 2 | inner | 546.2.ch.a.401.5 | yes | 152 | |
7.4 | even | 3 | 546.2.bw.a.11.27 | yes | 152 | ||
13.6 | odd | 12 | 546.2.bw.a.149.8 | yes | 152 | ||
21.11 | odd | 6 | 546.2.bw.a.11.8 | ✓ | 152 | ||
39.32 | even | 12 | 546.2.bw.a.149.27 | yes | 152 | ||
91.32 | odd | 12 | inner | 546.2.ch.a.305.5 | yes | 152 | |
273.32 | even | 12 | inner | 546.2.ch.a.305.37 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.11.8 | ✓ | 152 | 21.11 | odd | 6 | ||
546.2.bw.a.11.27 | yes | 152 | 7.4 | even | 3 | ||
546.2.bw.a.149.8 | yes | 152 | 13.6 | odd | 12 | ||
546.2.bw.a.149.27 | yes | 152 | 39.32 | even | 12 | ||
546.2.ch.a.305.5 | yes | 152 | 91.32 | odd | 12 | inner | |
546.2.ch.a.305.37 | yes | 152 | 273.32 | even | 12 | inner | |
546.2.ch.a.401.5 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.ch.a.401.37 | yes | 152 | 1.1 | even | 1 | trivial |