Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), 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: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 111.4 | ||
Character | \(\chi\) | \(=\) | 164.111 |
Dual form | 164.2.o.b.99.4 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{40}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09937 | − | 0.889595i | −0.777374 | − | 0.629039i | ||||
\(3\) | −0.323235 | − | 0.133889i | −0.186620 | − | 0.0773006i | 0.287417 | − | 0.957806i | \(-0.407204\pi\) |
−0.474037 | + | 0.880505i | \(0.657204\pi\) | |||||||
\(4\) | 0.417242 | + | 1.95599i | 0.208621 | + | 0.977997i | ||||
\(5\) | −0.705993 | + | 0.359722i | −0.315730 | + | 0.160872i | −0.604673 | − | 0.796474i | \(-0.706696\pi\) |
0.288943 | + | 0.957346i | \(0.406696\pi\) | |||||||
\(6\) | 0.236250 | + | 0.434742i | 0.0964486 | + | 0.177483i | ||||
\(7\) | −2.28906 | − | 3.73541i | −0.865184 | − | 1.41185i | −0.910780 | − | 0.412892i | \(-0.864519\pi\) |
0.0455958 | − | 0.998960i | \(-0.485481\pi\) | |||||||
\(8\) | 1.28134 | − | 2.52154i | 0.453021 | − | 0.891500i | ||||
\(9\) | −2.03477 | − | 2.03477i | −0.678255 | − | 0.678255i | ||||
\(10\) | 1.09616 | + | 0.232580i | 0.346635 | + | 0.0735482i | ||||
\(11\) | 2.94031 | + | 0.231408i | 0.886538 | + | 0.0697721i | 0.513546 | − | 0.858062i | \(-0.328332\pi\) |
0.372993 | + | 0.927834i | \(0.378332\pi\) | |||||||
\(12\) | 0.127018 | − | 0.688110i | 0.0366669 | − | 0.198640i | ||||
\(13\) | −1.05491 | − | 4.39401i | −0.292579 | − | 1.21868i | −0.904055 | − | 0.427416i | \(-0.859424\pi\) |
0.611476 | − | 0.791263i | \(-0.290576\pi\) | |||||||
\(14\) | −0.806469 | + | 6.14295i | −0.215538 | + | 1.64177i | ||||
\(15\) | 0.276365 | − | 0.0217504i | 0.0713570 | − | 0.00561592i | ||||
\(16\) | −3.65182 | + | 1.63224i | −0.912955 | + | 0.408061i | ||||
\(17\) | −2.76691 | + | 2.36316i | −0.671074 | + | 0.573152i | −0.918338 | − | 0.395797i | \(-0.870469\pi\) |
0.247264 | + | 0.968948i | \(0.420469\pi\) | |||||||
\(18\) | 0.426849 | + | 4.04708i | 0.100609 | + | 0.953907i | ||||
\(19\) | −4.50401 | − | 1.08132i | −1.03329 | − | 0.248071i | −0.318878 | − | 0.947796i | \(-0.603306\pi\) |
−0.714413 | + | 0.699725i | \(0.753306\pi\) | |||||||
\(20\) | −0.998183 | − | 1.23083i | −0.223200 | − | 0.275221i | ||||
\(21\) | 0.239778 | + | 1.51390i | 0.0523238 | + | 0.330359i | ||||
\(22\) | −3.02664 | − | 2.87009i | −0.645282 | − | 0.611906i | ||||
\(23\) | 6.50021 | − | 4.72268i | 1.35539 | − | 0.984747i | 0.356665 | − | 0.934232i | \(-0.383914\pi\) |
0.998723 | − | 0.0505147i | \(-0.0160862\pi\) | |||||||
\(24\) | −0.751779 | + | 0.643495i | −0.153456 | + | 0.131353i | ||||
\(25\) | −2.56990 | + | 3.53716i | −0.513980 | + | 0.707433i | ||||
\(26\) | −2.74915 | + | 5.76910i | −0.539153 | + | 1.13141i | ||||
\(27\) | 0.786942 | + | 1.89985i | 0.151447 | + | 0.365626i | ||||
\(28\) | 6.35134 | − | 6.03596i | 1.20029 | − | 1.14069i | ||||
\(29\) | 5.31907 | + | 4.54292i | 0.987727 | + | 0.843598i | 0.987694 | − | 0.156402i | \(-0.0499894\pi\) |
3.32856e−5 | 1.00000i | \(0.499989\pi\) | ||||||||
\(30\) | −0.323177 | − | 0.221941i | −0.0590037 | − | 0.0405207i | ||||
\(31\) | −0.131241 | − | 0.403918i | −0.0235715 | − | 0.0725458i | 0.938579 | − | 0.345065i | \(-0.112143\pi\) |
−0.962150 | + | 0.272519i | \(0.912143\pi\) | |||||||
\(32\) | 5.46675 | + | 1.45419i | 0.966393 | + | 0.257068i | ||||
\(33\) | −0.919431 | − | 0.468474i | −0.160052 | − | 0.0815508i | ||||
\(34\) | 5.14413 | − | 0.136570i | 0.882210 | − | 0.0234215i | ||||
\(35\) | 2.95977 | + | 1.81375i | 0.500292 | + | 0.306580i | ||||
\(36\) | 3.13100 | − | 4.82898i | 0.521833 | − | 0.804829i | ||||
\(37\) | 2.21897 | − | 6.82927i | 0.364796 | − | 1.12273i | −0.585313 | − | 0.810807i | \(-0.699028\pi\) |
0.950109 | − | 0.311918i | \(-0.100972\pi\) | |||||||
\(38\) | 3.98965 | + | 5.19551i | 0.647207 | + | 0.842824i | ||||
\(39\) | −0.247324 | + | 1.56154i | −0.0396035 | + | 0.250046i | ||||
\(40\) | 0.00243738 | + | 2.24112i | 0.000385384 | + | 0.354352i | ||||
\(41\) | 1.56856 | − | 6.20803i | 0.244968 | − | 0.969531i | ||||
\(42\) | 1.08315 | − | 1.87764i | 0.167134 | − | 0.289726i | ||||
\(43\) | 3.65616 | + | 0.579078i | 0.557559 | + | 0.0883086i | 0.428853 | − | 0.903374i | \(-0.358918\pi\) |
0.128705 | + | 0.991683i | \(0.458918\pi\) | |||||||
\(44\) | 0.774190 | + | 5.84779i | 0.116713 | + | 0.881587i | ||||
\(45\) | 2.16848 | + | 0.704582i | 0.323258 | + | 0.105033i | ||||
\(46\) | −11.3474 | − | 0.590569i | −1.67309 | − | 0.0870746i | ||||
\(47\) | −4.08444 | + | 6.66520i | −0.595777 | + | 0.972219i | 0.402606 | + | 0.915373i | \(0.368104\pi\) |
−0.998383 | + | 0.0568459i | \(0.981896\pi\) | |||||||
\(48\) | 1.39894 | − | 0.0386625i | 0.201919 | − | 0.00558045i | ||||
\(49\) | −5.53555 | + | 10.8641i | −0.790792 | + | 1.55202i | ||||
\(50\) | 5.97192 | − | 1.60249i | 0.844557 | − | 0.226627i | ||||
\(51\) | 1.21076 | − | 0.393401i | 0.169541 | − | 0.0550872i | ||||
\(52\) | 8.15450 | − | 3.89676i | 1.13083 | − | 0.540383i | ||||
\(53\) | −1.61175 | + | 1.88712i | −0.221391 | + | 0.259216i | −0.859975 | − | 0.510337i | \(-0.829521\pi\) |
0.638583 | + | 0.769553i | \(0.279521\pi\) | |||||||
\(54\) | 0.824951 | − | 2.78870i | 0.112262 | − | 0.379494i | ||||
\(55\) | −2.15908 | + | 0.894322i | −0.291131 | + | 0.120590i | ||||
\(56\) | −12.3521 | + | 0.985646i | −1.65061 | + | 0.131712i | ||||
\(57\) | 1.31108 | + | 0.952555i | 0.173657 | + | 0.126169i | ||||
\(58\) | −1.80629 | − | 9.72618i | −0.237177 | − | 1.27711i | ||||
\(59\) | −2.29771 | − | 3.16253i | −0.299136 | − | 0.411726i | 0.632819 | − | 0.774300i | \(-0.281898\pi\) |
−0.931955 | + | 0.362574i | \(0.881898\pi\) | |||||||
\(60\) | 0.157854 | + | 0.531492i | 0.0203789 | + | 0.0686153i | ||||
\(61\) | 12.3904 | − | 1.96244i | 1.58643 | − | 0.251265i | 0.700002 | − | 0.714141i | \(-0.253182\pi\) |
0.886423 | + | 0.462875i | \(0.153182\pi\) | |||||||
\(62\) | −0.215041 | + | 0.560807i | −0.0273102 | + | 0.0712226i | ||||
\(63\) | −2.94298 | + | 12.2584i | −0.370780 | + | 1.54441i | ||||
\(64\) | −4.71635 | − | 6.46189i | −0.589544 | − | 0.807737i | ||||
\(65\) | 2.32538 | + | 2.72267i | 0.288428 | + | 0.337705i | ||||
\(66\) | 0.594046 | + | 1.33295i | 0.0731220 | + | 0.164075i | ||||
\(67\) | −0.516254 | − | 6.55963i | −0.0630705 | − | 0.801386i | −0.944382 | − | 0.328851i | \(-0.893339\pi\) |
0.881311 | − | 0.472536i | \(-0.156661\pi\) | |||||||
\(68\) | −5.77680 | − | 4.42605i | −0.700540 | − | 0.536737i | ||||
\(69\) | −2.73341 | + | 0.656234i | −0.329064 | + | 0.0790013i | ||||
\(70\) | −1.64039 | − | 4.62698i | −0.196064 | − | 0.553030i | ||||
\(71\) | −0.111273 | + | 1.41386i | −0.0132057 | + | 0.167794i | 0.986778 | + | 0.162078i | \(0.0518196\pi\) |
−0.999984 | + | 0.00571647i | \(0.998180\pi\) | |||||||
\(72\) | −7.73797 | + | 2.52353i | −0.911928 | + | 0.297400i | ||||
\(73\) | 2.08819 | − | 2.08819i | 0.244404 | − | 0.244404i | −0.574265 | − | 0.818669i | \(-0.694712\pi\) |
0.818669 | + | 0.574265i | \(0.194712\pi\) | |||||||
\(74\) | −8.51476 | + | 5.53394i | −0.989821 | + | 0.643307i | ||||
\(75\) | 1.30427 | − | 0.799256i | 0.150604 | − | 0.0922902i | ||||
\(76\) | 0.235788 | − | 9.26098i | 0.0270468 | − | 1.06231i | ||||
\(77\) | −5.86616 | − | 11.5130i | −0.668511 | − | 1.31203i | ||||
\(78\) | 1.66104 | − | 1.49670i | 0.188076 | − | 0.169468i | ||||
\(79\) | −3.24666 | + | 7.83812i | −0.365277 | + | 0.881858i | 0.629233 | + | 0.777217i | \(0.283369\pi\) |
−0.994510 | + | 0.104641i | \(0.966631\pi\) | |||||||
\(80\) | 1.99101 | − | 2.46599i | 0.222601 | − | 0.275706i | ||||
\(81\) | 7.91332i | 0.879258i | ||||||||
\(82\) | −7.24707 | + | 5.42955i | −0.800305 | + | 0.599594i | ||||
\(83\) | − | 5.01948i | − | 0.550959i | −0.961307 | − | 0.275480i | \(-0.911163\pi\) | ||
0.961307 | − | 0.275480i | \(-0.0888366\pi\) | |||||||
\(84\) | −2.86112 | + | 1.10066i | −0.312174 | + | 0.120092i | ||||
\(85\) | 1.10334 | − | 2.66370i | 0.119674 | − | 0.288918i | ||||
\(86\) | −3.50433 | − | 3.88912i | −0.377882 | − | 0.419375i | ||||
\(87\) | −1.11107 | − | 2.18059i | −0.119119 | − | 0.233784i | ||||
\(88\) | 4.35104 | − | 7.11762i | 0.463822 | − | 0.758740i | ||||
\(89\) | −5.31834 | + | 3.25908i | −0.563743 | + | 0.345462i | −0.774993 | − | 0.631970i | \(-0.782247\pi\) |
0.211250 | + | 0.977432i | \(0.432247\pi\) | |||||||
\(90\) | −1.75718 | − | 2.70367i | −0.185223 | − | 0.284991i | ||||
\(91\) | −13.9987 | + | 13.9987i | −1.46746 | + | 1.46746i | ||||
\(92\) | 11.9497 | + | 10.7439i | 1.24584 | + | 1.12013i | ||||
\(93\) | −0.0116583 | + | 0.148132i | −0.00120890 | + | 0.0153606i | ||||
\(94\) | 10.4196 | − | 3.69404i | 1.07470 | − | 0.381011i | ||||
\(95\) | 3.56877 | − | 0.856786i | 0.366148 | − | 0.0879044i | ||||
\(96\) | −1.57235 | − | 1.20198i | −0.160477 | − | 0.122677i | ||||
\(97\) | 0.157358 | + | 1.99942i | 0.0159772 | + | 0.203010i | 0.999725 | + | 0.0234538i | \(0.00746625\pi\) |
−0.983748 | + | 0.179556i | \(0.942534\pi\) | |||||||
\(98\) | 15.7503 | − | 7.01933i | 1.59102 | − | 0.709059i | ||||
\(99\) | −5.51199 | − | 6.45371i | −0.553976 | − | 0.648622i | ||||
\(100\) | −7.99094 | − | 3.55085i | −0.799094 | − | 0.355085i | ||||
\(101\) | 3.78349 | − | 15.7593i | 0.376471 | − | 1.56811i | −0.386880 | − | 0.922130i | \(-0.626447\pi\) |
0.763351 | − | 0.645984i | \(-0.223553\pi\) | |||||||
\(102\) | −1.68105 | − | 0.644595i | −0.166449 | − | 0.0638244i | ||||
\(103\) | −1.52470 | + | 0.241489i | −0.150233 | + | 0.0237946i | −0.231098 | − | 0.972930i | \(-0.574232\pi\) |
0.0808647 | + | 0.996725i | \(0.474232\pi\) | |||||||
\(104\) | −12.4314 | − | 2.97021i | −1.21900 | − | 0.291253i | ||||
\(105\) | −0.713862 | − | 0.982547i | −0.0696658 | − | 0.0958868i | ||||
\(106\) | 3.45069 | − | 0.640842i | 0.335161 | − | 0.0622441i | ||||
\(107\) | −0.703145 | − | 0.510864i | −0.0679755 | − | 0.0493871i | 0.553279 | − | 0.832996i | \(-0.313377\pi\) |
−0.621254 | + | 0.783609i | \(0.713377\pi\) | |||||||
\(108\) | −3.38774 | + | 2.33195i | −0.325986 | + | 0.224392i | ||||
\(109\) | 10.4947 | − | 4.34703i | 1.00521 | − | 0.416370i | 0.181502 | − | 0.983391i | \(-0.441904\pi\) |
0.823704 | + | 0.567021i | \(0.191904\pi\) | |||||||
\(110\) | 3.16922 | + | 0.937517i | 0.302174 | + | 0.0893888i | ||||
\(111\) | −1.63161 | + | 1.91037i | −0.154866 | + | 0.181324i | ||||
\(112\) | 14.4563 | + | 9.90473i | 1.36600 | + | 0.935909i | ||||
\(113\) | 1.51165 | − | 0.491163i | 0.142204 | − | 0.0462048i | −0.237050 | − | 0.971497i | \(-0.576181\pi\) |
0.379254 | + | 0.925293i | \(0.376181\pi\) | |||||||
\(114\) | −0.593977 | − | 2.21354i | −0.0556311 | − | 0.207317i | ||||
\(115\) | −2.89026 | + | 5.67245i | −0.269518 | + | 0.528958i | ||||
\(116\) | −6.66658 | + | 12.2996i | −0.618976 | + | 1.14199i | ||||
\(117\) | −6.79429 | + | 11.0873i | −0.628132 | + | 1.02502i | ||||
\(118\) | −0.287327 | + | 5.52083i | −0.0264506 | + | 0.508233i | ||||
\(119\) | 15.1610 | + | 4.92611i | 1.38981 | + | 0.451576i | ||||
\(120\) | 0.299272 | − | 0.724735i | 0.0273197 | − | 0.0661589i | ||||
\(121\) | −2.27267 | − | 0.359956i | −0.206607 | − | 0.0327233i | ||||
\(122\) | −15.3674 | − | 8.86496i | −1.39130 | − | 0.802596i | ||||
\(123\) | −1.33820 | + | 1.79664i | −0.120661 | + | 0.161998i | ||||
\(124\) | 0.735301 | − | 0.425237i | 0.0660320 | − | 0.0381875i | ||||
\(125\) | 1.16170 | − | 7.33466i | 0.103905 | − | 0.656032i | ||||
\(126\) | 14.1404 | − | 10.8585i | 1.25973 | − | 0.967350i | ||||
\(127\) | 5.39088 | − | 16.5914i | 0.478364 | − | 1.47225i | −0.363004 | − | 0.931788i | \(-0.618249\pi\) |
0.841367 | − | 0.540464i | \(-0.181751\pi\) | |||||||
\(128\) | −0.563441 | + | 11.2997i | −0.0498016 | + | 0.998759i | ||||
\(129\) | −1.10427 | − | 0.676696i | −0.0972253 | − | 0.0595797i | ||||
\(130\) | −0.134386 | − | 5.06187i | −0.0117864 | − | 0.443955i | ||||
\(131\) | 7.43509 | + | 3.78837i | 0.649607 | + | 0.330991i | 0.747555 | − | 0.664200i | \(-0.231228\pi\) |
−0.0979479 | + | 0.995192i | \(0.531228\pi\) | |||||||
\(132\) | 0.532706 | − | 1.99387i | 0.0463661 | − | 0.173544i | ||||
\(133\) | 6.27079 | + | 19.2995i | 0.543747 | + | 1.67348i | ||||
\(134\) | −5.26786 | + | 7.67074i | −0.455074 | + | 0.662651i | ||||
\(135\) | −1.23899 | − | 1.05820i | −0.106635 | − | 0.0910752i | ||||
\(136\) | 2.41347 | + | 10.0049i | 0.206954 | + | 0.857912i | ||||
\(137\) | 4.55146 | + | 10.9882i | 0.388858 | + | 0.938785i | 0.990183 | + | 0.139781i | \(0.0446397\pi\) |
−0.601325 | + | 0.799005i | \(0.705360\pi\) | |||||||
\(138\) | 3.58882 | + | 1.71018i | 0.305501 | + | 0.145580i | ||||
\(139\) | 6.04258 | − | 8.31690i | 0.512525 | − | 0.705430i | −0.471818 | − | 0.881696i | \(-0.656402\pi\) |
0.984343 | + | 0.176266i | \(0.0564020\pi\) | |||||||
\(140\) | −2.31274 | + | 6.54606i | −0.195462 | + | 0.553243i | ||||
\(141\) | 2.21263 | − | 1.60757i | 0.186337 | − | 0.135382i | ||||
\(142\) | 1.38009 | − | 1.45537i | 0.115815 | − | 0.122132i | ||||
\(143\) | −2.08495 | − | 13.1639i | −0.174353 | − | 1.10082i | ||||
\(144\) | 10.7518 | + | 4.10936i | 0.895986 | + | 0.342447i | ||||
\(145\) | −5.38941 | − | 1.29388i | −0.447566 | − | 0.107451i | ||||
\(146\) | −4.15334 | + | 0.438056i | −0.343733 | + | 0.0362538i | ||||
\(147\) | 3.24387 | − | 2.77052i | 0.267550 | − | 0.228509i | ||||
\(148\) | 14.2839 | + | 1.49082i | 1.17413 | + | 0.122545i | ||||
\(149\) | −7.30837 | + | 0.575181i | −0.598725 | + | 0.0471207i | −0.374201 | − | 0.927348i | \(-0.622083\pi\) |
−0.224524 | + | 0.974468i | \(0.572083\pi\) | |||||||
\(150\) | −2.14489 | − | 0.281589i | −0.175130 | − | 0.0229917i | ||||
\(151\) | −3.19774 | − | 13.3195i | −0.260228 | − | 1.08393i | −0.937442 | − | 0.348142i | \(-0.886813\pi\) |
0.677213 | − | 0.735787i | \(-0.263187\pi\) | |||||||
\(152\) | −8.49774 | + | 9.97152i | −0.689258 | + | 0.808797i | ||||
\(153\) | 10.4385 | + | 0.821528i | 0.843903 | + | 0.0664166i | ||||
\(154\) | −3.79280 | + | 17.8756i | −0.305632 | + | 1.44045i | ||||
\(155\) | 0.237953 | + | 0.237953i | 0.0191128 | + | 0.0191128i | ||||
\(156\) | −3.15755 | + | 0.167776i | −0.252807 | + | 0.0134328i | ||||
\(157\) | −3.07843 | − | 5.02354i | −0.245686 | − | 0.400922i | 0.705898 | − | 0.708314i | \(-0.250544\pi\) |
−0.951583 | + | 0.307391i | \(0.900544\pi\) | |||||||
\(158\) | 10.5420 | − | 5.72881i | 0.838680 | − | 0.455760i | ||||
\(159\) | 0.773640 | − | 0.394189i | 0.0613536 | − | 0.0312612i | ||||
\(160\) | −4.38259 | + | 0.939855i | −0.346474 | + | 0.0743020i | ||||
\(161\) | −32.5205 | − | 13.4704i | −2.56298 | − | 1.06162i | ||||
\(162\) | 7.03965 | − | 8.69969i | 0.553087 | − | 0.683512i | ||||
\(163\) | 13.4559 | 1.05395 | 0.526973 | − | 0.849882i | \(-0.323327\pi\) | ||||
0.526973 | + | 0.849882i | \(0.323327\pi\) | |||||||
\(164\) | 12.7973 | + | 0.477851i | 0.999304 | + | 0.0373139i | ||||
\(165\) | 0.817632 | 0.0636526 | ||||||||
\(166\) | −4.46530 | + | 5.51828i | −0.346574 | + | 0.428301i | ||||
\(167\) | 0.0425390 | + | 0.0176203i | 0.00329177 | + | 0.00136350i | 0.384329 | − | 0.923196i | \(-0.374433\pi\) |
−0.381037 | + | 0.924560i | \(0.624433\pi\) | |||||||
\(168\) | 4.12459 | + | 1.33520i | 0.318219 | + | 0.103013i | ||||
\(169\) | −6.61140 | + | 3.36868i | −0.508569 | + | 0.259129i | ||||
\(170\) | −3.58259 | + | 1.94687i | −0.274772 | + | 0.149318i | ||||
\(171\) | 6.96437 | + | 11.3648i | 0.532579 | + | 0.869090i | ||||
\(172\) | 0.392828 | + | 7.39303i | 0.0299528 | + | 0.563713i | ||||
\(173\) | 1.82188 | + | 1.82188i | 0.138515 | + | 0.138515i | 0.772964 | − | 0.634450i | \(-0.218773\pi\) |
−0.634450 | + | 0.772964i | \(0.718773\pi\) | |||||||
\(174\) | −0.718367 | + | 3.38569i | −0.0544593 | + | 0.256668i | ||||
\(175\) | 19.0954 | + | 1.50284i | 1.44348 | + | 0.113604i | ||||
\(176\) | −11.1152 | + | 3.95425i | −0.837840 | + | 0.298063i | ||||
\(177\) | 0.319275 | + | 1.32988i | 0.0239982 | + | 0.0999597i | ||||
\(178\) | 8.74610 | + | 1.14822i | 0.655548 | + | 0.0860627i | ||||
\(179\) | 4.95719 | − | 0.390139i | 0.370518 | − | 0.0291604i | 0.108166 | − | 0.994133i | \(-0.465502\pi\) |
0.262351 | + | 0.964972i | \(0.415502\pi\) | |||||||
\(180\) | −0.473377 | + | 4.53551i | −0.0352834 | + | 0.338057i | ||||
\(181\) | −1.52780 | + | 1.30487i | −0.113561 | + | 0.0969899i | −0.704415 | − | 0.709788i | \(-0.748791\pi\) |
0.590855 | + | 0.806778i | \(0.298791\pi\) | |||||||
\(182\) | 27.8429 | − | 2.93661i | 2.06385 | − | 0.217676i | ||||
\(183\) | −4.26776 | − | 1.02460i | −0.315482 | − | 0.0757405i | ||||
\(184\) | −3.57947 | − | 22.4419i | −0.263882 | − | 1.65444i | ||||
\(185\) | 0.890062 | + | 5.61963i | 0.0654387 | + | 0.413164i | ||||
\(186\) | 0.144594 | − | 0.152481i | 0.0106022 | − | 0.0111805i | ||||
\(187\) | −8.68244 | + | 6.30816i | −0.634923 | + | 0.461299i | ||||
\(188\) | −14.7413 | − | 5.20814i | −1.07512 | − | 0.379842i | ||||
\(189\) | 5.29535 | − | 7.28842i | 0.385180 | − | 0.530154i | ||||
\(190\) | −4.68560 | − | 2.23283i | −0.339930 | − | 0.161987i | ||||
\(191\) | 3.03196 | + | 7.31979i | 0.219385 | + | 0.529642i | 0.994804 | − | 0.101805i | \(-0.0324617\pi\) |
−0.775420 | + | 0.631446i | \(0.782462\pi\) | |||||||
\(192\) | 0.659318 | + | 2.72018i | 0.0475822 | + | 0.196312i | ||||
\(193\) | −6.27221 | − | 5.35697i | −0.451484 | − | 0.385603i | 0.394428 | − | 0.918927i | \(-0.370943\pi\) |
−0.845911 | + | 0.533324i | \(0.820943\pi\) | |||||||
\(194\) | 1.60568 | − | 2.33809i | 0.115281 | − | 0.167865i | ||||
\(195\) | −0.387111 | − | 1.19140i | −0.0277216 | − | 0.0853182i | ||||
\(196\) | −23.5598 | − | 6.29453i | −1.68284 | − | 0.449609i | ||||
\(197\) | −5.64488 | − | 2.87621i | −0.402181 | − | 0.204922i | 0.241187 | − | 0.970479i | \(-0.422463\pi\) |
−0.643368 | + | 0.765557i | \(0.722463\pi\) | |||||||
\(198\) | 0.318544 | + | 11.9985i | 0.0226379 | + | 0.852694i | ||||
\(199\) | −14.7707 | − | 9.05148i | −1.04706 | − | 0.641642i | −0.111126 | − | 0.993806i | \(-0.535446\pi\) |
−0.935938 | + | 0.352164i | \(0.885446\pi\) | |||||||
\(200\) | 5.62620 | + | 11.0124i | 0.397832 | + | 0.778695i | ||||
\(201\) | −0.711387 | + | 2.18943i | −0.0501774 | + | 0.154430i | ||||
\(202\) | −18.1789 | + | 13.9596i | −1.27906 | + | 0.982196i | ||||
\(203\) | 4.79397 | − | 30.2679i | 0.336471 | − | 2.12439i | ||||
\(204\) | 1.27467 | + | 2.20410i | 0.0892448 | + | 0.154318i | ||||
\(205\) | 1.12577 | + | 4.94707i | 0.0786269 | + | 0.345518i | ||||
\(206\) | 1.89104 | + | 1.09088i | 0.131755 | + | 0.0760053i | ||||
\(207\) | −22.8360 | − | 3.61686i | −1.58721 | − | 0.251389i | ||||
\(208\) | 11.0244 | + | 14.3243i | 0.764407 | + | 0.993209i | ||||
\(209\) | −12.9930 | − | 4.22167i | −0.898743 | − | 0.292019i | ||||
\(210\) | −0.0892681 | + | 1.71523i | −0.00616008 | + | 0.118362i | ||||
\(211\) | −11.6615 | + | 19.0298i | −0.802807 | + | 1.31006i | 0.144425 | + | 0.989516i | \(0.453867\pi\) |
−0.947233 | + | 0.320547i | \(0.896133\pi\) | |||||||
\(212\) | −4.36369 | − | 2.36519i | −0.299699 | − | 0.162442i | ||||
\(213\) | 0.225267 | − | 0.442112i | 0.0154351 | − | 0.0302930i | ||||
\(214\) | 0.318556 | + | 1.18714i | 0.0217760 | + | 0.0811515i | ||||
\(215\) | −2.78953 | + | 0.906373i | −0.190244 | + | 0.0618141i | ||||
\(216\) | 5.79888 | + | 0.450037i | 0.394564 | + | 0.0306211i | ||||
\(217\) | −1.20838 | + | 1.41483i | −0.0820302 | + | 0.0960450i | ||||
\(218\) | −15.4046 | − | 4.55699i | −1.04333 | − | 0.308638i | ||||
\(219\) | −0.954561 | + | 0.395392i | −0.0645033 | + | 0.0267181i | ||||
\(220\) | −2.65015 | − | 3.85001i | −0.178673 | − | 0.259567i | ||||
\(221\) | 13.3026 | + | 9.66491i | 0.894830 | + | 0.650132i | ||||
\(222\) | 3.49320 | − | 0.648737i | 0.234448 | − | 0.0435404i | ||||
\(223\) | −7.80365 | − | 10.7408i | −0.522571 | − | 0.719257i | 0.463405 | − | 0.886147i | \(-0.346628\pi\) |
−0.985976 | + | 0.166890i | \(0.946628\pi\) | |||||||
\(224\) | −7.08171 | − | 23.7493i | −0.473167 | − | 1.58682i | ||||
\(225\) | 12.4264 | − | 1.96815i | 0.828429 | − | 0.131210i | ||||
\(226\) | −2.09880 | − | 0.804781i | −0.139610 | − | 0.0535332i | ||||
\(227\) | 0.891771 | − | 3.71449i | 0.0591889 | − | 0.246540i | −0.934930 | − | 0.354832i | \(-0.884538\pi\) |
0.994119 | + | 0.108292i | \(0.0345382\pi\) | |||||||
\(228\) | −1.31615 | + | 2.96191i | −0.0871644 | + | 0.196157i | ||||
\(229\) | −5.77472 | − | 6.76133i | −0.381604 | − | 0.446801i | 0.536047 | − | 0.844188i | \(-0.319917\pi\) |
−0.917651 | + | 0.397387i | \(0.869917\pi\) | |||||||
\(230\) | 8.22365 | − | 3.66498i | 0.542251 | − | 0.241661i | ||||
\(231\) | 0.354694 | + | 4.50682i | 0.0233372 | + | 0.296527i | ||||
\(232\) | 18.2707 | − | 7.59125i | 1.19953 | − | 0.498390i | ||||
\(233\) | 14.3261 | − | 3.43938i | 0.938531 | − | 0.225321i | 0.264805 | − | 0.964302i | \(-0.414693\pi\) |
0.673727 | + | 0.738981i | \(0.264693\pi\) | |||||||
\(234\) | 17.3326 | − | 6.14488i | 1.13307 | − | 0.401703i | ||||
\(235\) | 0.485971 | − | 6.17485i | 0.0317012 | − | 0.402803i | ||||
\(236\) | 5.22718 | − | 5.81384i | 0.340260 | − | 0.378449i | ||||
\(237\) | 2.09887 | − | 2.09887i | 0.136336 | − | 0.136336i | ||||
\(238\) | −12.2854 | − | 18.9028i | −0.796342 | − | 1.22529i | ||||
\(239\) | 24.5473 | − | 15.0426i | 1.58784 | − | 0.973027i | 0.603367 | − | 0.797464i | \(-0.293825\pi\) |
0.984468 | − | 0.175563i | \(-0.0561747\pi\) | |||||||
\(240\) | −0.973732 | + | 0.530523i | −0.0628541 | + | 0.0342451i | ||||
\(241\) | 7.01085 | + | 13.7596i | 0.451608 | + | 0.886331i | 0.998783 | + | 0.0493130i | \(0.0157032\pi\) |
−0.547175 | + | 0.837018i | \(0.684297\pi\) | |||||||
\(242\) | 2.17830 | + | 2.41748i | 0.140026 | + | 0.155402i | ||||
\(243\) | 3.42033 | − | 8.25740i | 0.219414 | − | 0.529713i | ||||
\(244\) | 9.00831 | + | 23.4167i | 0.576698 | + | 1.49910i | ||||
\(245\) | − | 9.66125i | − | 0.617235i | ||||||
\(246\) | 3.06946 | − | 0.784725i | 0.195702 | − | 0.0500322i | ||||
\(247\) | 20.9313i | 1.33183i | ||||||||
\(248\) | −1.18666 | − | 0.186626i | −0.0753529 | − | 0.0118507i | ||||
\(249\) | −0.672050 | + | 1.62247i | −0.0425894 | + | 0.102820i | ||||
\(250\) | −7.80201 | + | 7.03009i | −0.493443 | + | 0.444622i | ||||
\(251\) | 11.8937 | + | 23.3427i | 0.750724 | + | 1.47338i | 0.876542 | + | 0.481325i | \(0.159844\pi\) |
−0.125818 | + | 0.992053i | \(0.540156\pi\) | |||||||
\(252\) | −25.2053 | − | 0.641736i | −1.58778 | − | 0.0404255i | ||||
\(253\) | 20.2055 | − | 12.3820i | 1.27031 | − | 0.778448i | ||||
\(254\) | −20.6862 | + | 13.4445i | −1.29797 | + | 0.843581i | ||||
\(255\) | −0.713276 | + | 0.713276i | −0.0446671 | + | 0.0446671i | ||||
\(256\) | 10.6716 | − | 11.9213i | 0.666973 | − | 0.745082i | ||||
\(257\) | −0.256622 | + | 3.26070i | −0.0160077 | + | 0.203397i | 0.983713 | + | 0.179748i | \(0.0575283\pi\) |
−0.999720 | + | 0.0236486i | \(0.992472\pi\) | |||||||
\(258\) | 0.612016 | + | 1.72629i | 0.0381025 | + | 0.107474i | ||||
\(259\) | −30.5895 | + | 7.34389i | −1.90074 | + | 0.456327i | ||||
\(260\) | −4.35527 | + | 5.68443i | −0.270103 | + | 0.352534i | ||||
\(261\) | −1.57929 | − | 20.0668i | −0.0977558 | − | 1.24211i | ||||
\(262\) | −4.80382 | − | 10.7790i | −0.296781 | − | 0.665932i | ||||
\(263\) | −0.939777 | − | 1.10034i | −0.0579491 | − | 0.0678497i | 0.730674 | − | 0.682726i | \(-0.239206\pi\) |
−0.788623 | + | 0.614877i | \(0.789206\pi\) | |||||||
\(264\) | −2.35938 | + | 1.71811i | −0.145210 | + | 0.105742i | ||||
\(265\) | 0.459049 | − | 1.91208i | 0.0281992 | − | 0.117458i | ||||
\(266\) | 10.2748 | − | 26.7958i | 0.629989 | − | 1.64296i | ||||
\(267\) | 2.15543 | − | 0.341386i | 0.131910 | − | 0.0208925i | ||||
\(268\) | 12.6152 | − | 3.74674i | 0.770595 | − | 0.228869i | ||||
\(269\) | 5.24896 | + | 7.22457i | 0.320035 | + | 0.440490i | 0.938478 | − | 0.345340i | \(-0.112236\pi\) |
−0.618443 | + | 0.785830i | \(0.712236\pi\) | |||||||
\(270\) | 0.420745 | + | 2.26556i | 0.0256058 | + | 0.137877i | ||||
\(271\) | 8.83318 | + | 6.41768i | 0.536577 | + | 0.389846i | 0.822812 | − | 0.568313i | \(-0.192404\pi\) |
−0.286235 | + | 0.958159i | \(0.592404\pi\) | |||||||
\(272\) | 6.24699 | − | 13.1461i | 0.378780 | − | 0.797101i | ||||
\(273\) | 6.39913 | − | 2.65061i | 0.387293 | − | 0.160422i | ||||
\(274\) | 4.77129 | − | 16.1291i | 0.288244 | − | 0.974394i | ||||
\(275\) | −8.37484 | + | 9.80568i | −0.505022 | + | 0.591305i | ||||
\(276\) | −2.42408 | − | 5.07273i | −0.145913 | − | 0.305342i | ||||
\(277\) | −30.2769 | + | 9.83757i | −1.81916 | + | 0.591082i | −0.819321 | + | 0.573335i | \(0.805650\pi\) |
−0.999843 | + | 0.0177475i | \(0.994350\pi\) | |||||||
\(278\) | −14.0417 | + | 3.76792i | −0.842166 | + | 0.225985i | ||||
\(279\) | −0.554833 | + | 1.08892i | −0.0332170 | + | 0.0651921i | ||||
\(280\) | 8.36591 | − | 5.13916i | 0.499959 | − | 0.307123i | ||||
\(281\) | 4.01399 | − | 6.55023i | 0.239454 | − | 0.390754i | −0.710226 | − | 0.703973i | \(-0.751407\pi\) |
0.949681 | + | 0.313219i | \(0.101407\pi\) | |||||||
\(282\) | −3.86259 | − | 0.201026i | −0.230014 | − | 0.0119709i | ||||
\(283\) | 6.99558 | + | 2.27300i | 0.415844 | + | 0.135116i | 0.509464 | − | 0.860492i | \(-0.329844\pi\) |
−0.0936196 | + | 0.995608i | \(0.529844\pi\) | |||||||
\(284\) | −2.81193 | + | 0.372272i | −0.166857 | + | 0.0220903i | ||||
\(285\) | −1.26827 | − | 0.200874i | −0.0751257 | − | 0.0118987i | ||||
\(286\) | −9.41838 | + | 16.3268i | −0.556921 | + | 0.965423i | ||||
\(287\) | −26.7801 | + | 8.35133i | −1.58078 | + | 0.492964i | ||||
\(288\) | −8.16460 | − | 14.0825i | −0.481104 | − | 0.829819i | ||||
\(289\) | −0.588140 | + | 3.71337i | −0.0345965 | + | 0.218434i | ||||
\(290\) | 4.77394 | + | 6.21686i | 0.280336 | + | 0.365066i | ||||
\(291\) | 0.216836 | − | 0.667351i | 0.0127111 | − | 0.0391208i | ||||
\(292\) | 4.95576 | + | 3.21320i | 0.290014 | + | 0.188038i | ||||
\(293\) | 17.4618 | + | 10.7006i | 1.02013 | + | 0.625136i | 0.928760 | − | 0.370682i | \(-0.120876\pi\) |
0.0913686 | + | 0.995817i | \(0.470876\pi\) | |||||||
\(294\) | −6.03086 | + | 0.160112i | −0.351727 | + | 0.00933790i | ||||
\(295\) | 2.75980 | + | 1.40619i | 0.160682 | + | 0.0818713i | ||||
\(296\) | −14.3771 | − | 14.3458i | −0.835650 | − | 0.833834i | ||||
\(297\) | 1.87422 | + | 5.76825i | 0.108753 | + | 0.334708i | ||||
\(298\) | 8.54630 | + | 5.86915i | 0.495074 | + | 0.339991i | ||||
\(299\) | −27.6086 | − | 23.5800i | −1.59665 | − | 1.36367i | ||||
\(300\) | 2.10754 | + | 2.21766i | 0.121679 | + | 0.128036i | ||||
\(301\) | −6.20607 | − | 14.9828i | −0.357712 | − | 0.863593i | ||||
\(302\) | −8.33349 | + | 17.4878i | −0.479539 | + | 1.00631i | ||||
\(303\) | −3.33295 | + | 4.58742i | −0.191473 | + | 0.263540i | ||||
\(304\) | 18.2128 | − | 3.40287i | 1.04458 | − | 0.195168i | ||||
\(305\) | −8.04159 | + | 5.84256i | −0.460460 | + | 0.334544i | ||||
\(306\) | −10.7450 | − | 10.1892i | −0.614249 | − | 0.582478i | ||||
\(307\) | 4.80089 | + | 30.3116i | 0.274001 | + | 1.72998i | 0.613786 | + | 0.789472i | \(0.289646\pi\) |
−0.339785 | + | 0.940503i | \(0.610354\pi\) | |||||||
\(308\) | 20.0717 | − | 16.2779i | 1.14369 | − | 0.927517i | ||||
\(309\) | 0.525171 | + | 0.126082i | 0.0298759 | + | 0.00717257i | ||||
\(310\) | −0.0499173 | − | 0.473281i | −0.00283511 | − | 0.0268806i | ||||
\(311\) | −6.63079 | + | 5.66323i | −0.375998 | + | 0.321132i | −0.817285 | − | 0.576233i | \(-0.804522\pi\) |
0.441287 | + | 0.897366i | \(0.354522\pi\) | |||||||
\(312\) | 3.62058 | + | 2.62450i | 0.204975 | + | 0.148583i | ||||
\(313\) | −27.2026 | + | 2.14089i | −1.53758 | + | 0.121010i | −0.818741 | − | 0.574163i | \(-0.805327\pi\) |
−0.718842 | + | 0.695174i | \(0.755327\pi\) | |||||||
\(314\) | −1.08457 | + | 8.26131i | −0.0612061 | + | 0.466212i | ||||
\(315\) | −2.33188 | − | 9.71299i | −0.131387 | − | 0.547265i | ||||
\(316\) | −16.6860 | − | 3.08005i | −0.938658 | − | 0.173266i | ||||
\(317\) | −5.74002 | − | 0.451749i | −0.322392 | − | 0.0253728i | −0.0837692 | − | 0.996485i | \(-0.526696\pi\) |
−0.238623 | + | 0.971112i | \(0.576696\pi\) | |||||||
\(318\) | −1.20119 | − | 0.254865i | −0.0673593 | − | 0.0142921i | ||||
\(319\) | 14.5885 | + | 14.5885i | 0.816798 | + | 0.816798i | ||||
\(320\) | 5.65419 | + | 2.86548i | 0.316079 | + | 0.160185i | ||||
\(321\) | 0.158882 | + | 0.259272i | 0.00886795 | + | 0.0144712i | ||||
\(322\) | 23.7690 | + | 43.7392i | 1.32459 | + | 2.43749i | ||||
\(323\) | 15.0175 | − | 7.65181i | 0.835597 | − | 0.425758i | ||||
\(324\) | −15.4784 | + | 3.30177i | −0.859911 | + | 0.183431i | ||||
\(325\) | 18.2533 | + | 7.56078i | 1.01251 | + | 0.419397i | ||||
\(326\) | −14.7930 | − | 11.9703i | −0.819311 | − | 0.662973i | ||||
\(327\) | −3.97426 | −0.219777 | ||||||||
\(328\) | −13.6439 | − | 11.9098i | −0.753361 | − | 0.657607i | ||||
\(329\) | 34.2468 | 1.88809 | ||||||||
\(330\) | −0.898883 | − | 0.727361i | −0.0494819 | − | 0.0400399i | ||||
\(331\) | 20.2682 | + | 8.39535i | 1.11404 | + | 0.461450i | 0.862327 | − | 0.506352i | \(-0.169006\pi\) |
0.251712 | + | 0.967802i | \(0.419006\pi\) | |||||||
\(332\) | 9.81806 | − | 2.09433i | 0.538836 | − | 0.114942i | ||||
\(333\) | −18.4110 | + | 9.38090i | −1.00892 | + | 0.514070i | ||||
\(334\) | −0.0310914 | − | 0.0572138i | −0.00170125 | − | 0.00313060i | ||||
\(335\) | 2.72411 | + | 4.44535i | 0.148834 | + | 0.242875i | ||||
\(336\) | −3.34667 | − | 5.13710i | −0.182576 | − | 0.280252i | ||||
\(337\) | 13.5042 | + | 13.5042i | 0.735622 | + | 0.735622i | 0.971727 | − | 0.236106i | \(-0.0758711\pi\) |
−0.236106 | + | 0.971727i | \(0.575871\pi\) | |||||||
\(338\) | 10.2651 | + | 2.17804i | 0.558351 | + | 0.118470i | ||||
\(339\) | −0.554379 | − | 0.0436305i | −0.0301097 | − | 0.00236969i | ||||
\(340\) | 5.67053 | + | 1.04672i | 0.307528 | + | 0.0567663i | ||||
\(341\) | −0.292420 | − | 1.21802i | −0.0158354 | − | 0.0659592i | ||||
\(342\) | 2.45365 | − | 18.6897i | 0.132678 | − | 1.01062i | ||||
\(343\) | 22.6808 | − | 1.78501i | 1.22465 | − | 0.0963817i | ||||
\(344\) | 6.14494 | − | 8.47716i | 0.331313 | − | 0.457058i | ||||
\(345\) | 1.69371 | − | 1.44656i | 0.0911862 | − | 0.0778804i | ||||
\(346\) | −0.382190 | − | 3.62366i | −0.0205466 | − | 0.194809i | ||||
\(347\) | −11.3378 | − | 2.72196i | −0.608643 | − | 0.146122i | −0.0826037 | − | 0.996582i | \(-0.526324\pi\) |
−0.526039 | + | 0.850460i | \(0.676324\pi\) | |||||||
\(348\) | 3.80164 | − | 3.08308i | 0.203789 | − | 0.165270i | ||||
\(349\) | 1.55129 | + | 9.79445i | 0.0830386 | + | 0.524285i | 0.993785 | + | 0.111318i | \(0.0355074\pi\) |
−0.910746 | + | 0.412967i | \(0.864493\pi\) | |||||||
\(350\) | −19.6561 | − | 18.6394i | −1.05066 | − | 0.996316i | ||||
\(351\) | 7.51779 | − | 5.46199i | 0.401270 | − | 0.291540i | ||||
\(352\) | 15.7374 | + | 5.54084i | 0.838808 | + | 0.295328i | ||||
\(353\) | −11.3727 | + | 15.6532i | −0.605309 | + | 0.833136i | −0.996181 | − | 0.0873089i | \(-0.972173\pi\) |
0.390873 | + | 0.920445i | \(0.372173\pi\) | |||||||
\(354\) | 0.832050 | − | 1.74606i | 0.0442229 | − | 0.0928019i | ||||
\(355\) | −0.430038 | − | 1.03820i | −0.0228241 | − | 0.0551021i | ||||
\(356\) | −8.59377 | − | 9.04281i | −0.455469 | − | 0.479268i | ||||
\(357\) | −4.24103 | − | 3.62218i | −0.224459 | − | 0.191706i | ||||
\(358\) | −5.79687 | − | 3.98098i | −0.306374 | − | 0.210401i | ||||
\(359\) | 9.08716 | + | 27.9674i | 0.479602 | + | 1.47606i | 0.839650 | + | 0.543128i | \(0.182760\pi\) |
−0.360048 | + | 0.932934i | \(0.617240\pi\) | |||||||
\(360\) | 4.55519 | − | 4.56511i | 0.240079 | − | 0.240602i | ||||
\(361\) | 2.18772 | + | 1.11470i | 0.115143 | + | 0.0586684i | ||||
\(362\) | 2.84043 | − | 0.0754096i | 0.149289 | − | 0.00396344i | ||||
\(363\) | 0.686414 | + | 0.420635i | 0.0360274 | + | 0.0220776i | ||||
\(364\) | −33.2221 | − | 21.5405i | −1.74131 | − | 1.12903i | ||||
\(365\) | −0.723081 | + | 2.22541i | −0.0378478 | + | 0.116483i | ||||
\(366\) | 3.78038 | + | 4.92299i | 0.197604 | + | 0.257329i | ||||
\(367\) | 3.53600 | − | 22.3254i | 0.184578 | − | 1.16538i | −0.705209 | − | 0.709000i | \(-0.749147\pi\) |
0.889786 | − | 0.456377i | \(-0.150853\pi\) | |||||||
\(368\) | −16.0290 | + | 27.8563i | −0.835571 | + | 1.45211i | ||||
\(369\) | −15.8235 | + | 9.44022i | −0.823740 | + | 0.491438i | ||||
\(370\) | 4.02069 | − | 6.96987i | 0.209025 | − | 0.362346i | ||||
\(371\) | 10.7386 | + | 1.70082i | 0.557519 | + | 0.0883024i | ||||
\(372\) | −0.294610 | + | 0.0390034i | −0.0152748 | + | 0.00202223i | ||||
\(373\) | 16.5106 | + | 5.36463i | 0.854888 | + | 0.277770i | 0.703492 | − | 0.710703i | \(-0.251623\pi\) |
0.151396 | + | 0.988473i | \(0.451623\pi\) | |||||||
\(374\) | 15.1570 | + | 0.788832i | 0.783747 | + | 0.0407896i | ||||
\(375\) | −1.35753 | + | 2.21528i | −0.0701024 | + | 0.114397i | ||||
\(376\) | 11.5730 | + | 18.8395i | 0.596834 | + | 0.971571i | ||||
\(377\) | 14.3505 | − | 28.1644i | 0.739087 | − | 1.45054i | ||||
\(378\) | −12.3053 | + | 3.30198i | −0.632916 | + | 0.169835i | ||||
\(379\) | 26.3680 | − | 8.56749i | 1.35443 | − | 0.440082i | 0.460253 | − | 0.887788i | \(-0.347759\pi\) |
0.894181 | + | 0.447705i | \(0.147759\pi\) | |||||||
\(380\) | 3.16491 | + | 6.62301i | 0.162356 | + | 0.339753i | ||||
\(381\) | −3.96393 | + | 4.64116i | −0.203078 | + | 0.237774i | ||||
\(382\) | 3.17840 | − | 10.7444i | 0.162621 | − | 0.549731i | ||||
\(383\) | −24.0206 | + | 9.94967i | −1.22740 | + | 0.508405i | −0.899754 | − | 0.436397i | \(-0.856254\pi\) |
−0.327643 | + | 0.944802i | \(0.606254\pi\) | |||||||
\(384\) | 1.69502 | − | 3.57702i | 0.0864986 | − | 0.182539i | ||||
\(385\) | 8.28294 | + | 6.01791i | 0.422138 | + | 0.306701i | ||||
\(386\) | 2.12996 | + | 11.4690i | 0.108412 | + | 0.583759i | ||||
\(387\) | −6.26113 | − | 8.61771i | −0.318271 | − | 0.438063i | ||||
\(388\) | −3.84519 | + | 1.14203i | −0.195210 | + | 0.0579779i | ||||
\(389\) | −6.51857 | + | 1.03244i | −0.330504 | + | 0.0523468i | −0.319482 | − | 0.947592i | \(-0.603509\pi\) |
−0.0110228 | + | 0.999939i | \(0.503509\pi\) | |||||||
\(390\) | −0.634288 | + | 1.65417i | −0.0321184 | + | 0.0837621i | ||||
\(391\) | −6.82503 | + | 28.4283i | −0.345157 | + | 1.43768i | ||||
\(392\) | 20.3014 | + | 27.8787i | 1.02538 | + | 1.40809i | ||||
\(393\) | −1.89607 | − | 2.22001i | −0.0956439 | − | 0.111985i | ||||
\(394\) | 3.64717 | + | 8.18369i | 0.183742 | + | 0.412288i | ||||
\(395\) | −0.527424 | − | 6.70156i | −0.0265376 | − | 0.337192i | ||||
\(396\) | 10.3236 | − | 13.4742i | 0.518780 | − | 0.677103i | ||||
\(397\) | 11.8694 | − | 2.84959i | 0.595709 | − | 0.143017i | 0.0756310 | − | 0.997136i | \(-0.475903\pi\) |
0.520078 | + | 0.854119i | \(0.325903\pi\) | |||||||
\(398\) | 8.18632 | + | 23.0909i | 0.410343 | + | 1.15744i | ||||
\(399\) | 0.557041 | − | 7.07788i | 0.0278869 | − | 0.354337i | ||||
\(400\) | 3.61129 | − | 17.1118i | 0.180565 | − | 0.855589i | ||||
\(401\) | 9.57283 | − | 9.57283i | 0.478044 | − | 0.478044i | −0.426461 | − | 0.904506i | \(-0.640240\pi\) |
0.904506 | + | 0.426461i | \(0.140240\pi\) | |||||||
\(402\) | 2.72978 | − | 1.77415i | 0.136149 | − | 0.0884865i | ||||
\(403\) | −1.63637 | + | 1.00277i | −0.0815134 | + | 0.0499515i | ||||
\(404\) | 32.4038 | + | 0.825014i | 1.61215 | + | 0.0410460i | ||||
\(405\) | −2.84659 | − | 5.58675i | −0.141448 | − | 0.277608i | ||||
\(406\) | −32.1966 | + | 29.0111i | −1.59789 | + | 1.43979i | ||||
\(407\) | 8.10480 | − | 19.5667i | 0.401740 | − | 0.969887i | ||||
\(408\) | 0.559420 | − | 3.55707i | 0.0276954 | − | 0.176101i | ||||
\(409\) | − | 39.9052i | − | 1.97318i | −0.163208 | − | 0.986592i | \(-0.552184\pi\) | ||
0.163208 | − | 0.986592i | \(-0.447816\pi\) | |||||||
\(410\) | 3.16325 | − | 6.44015i | 0.156222 | − | 0.318056i | ||||
\(411\) | − | 4.16116i | − | 0.205255i | ||||||
\(412\) | −1.10852 | − | 2.88155i | −0.0546129 | − | 0.141964i | ||||
\(413\) | −6.55373 | + | 15.8221i | −0.322488 | + | 0.778555i | ||||
\(414\) | 21.8877 | + | 24.2910i | 1.07572 | + | 1.19384i | ||||
\(415\) | 1.80561 | + | 3.54372i | 0.0886341 | + | 0.173954i | ||||
\(416\) | 0.622829 | − | 25.5550i | 0.0305367 | − | 1.25294i | ||||
\(417\) | −3.06671 | + | 1.87928i | −0.150178 | + | 0.0920289i | ||||
\(418\) | 10.5285 | + | 16.1997i | 0.514968 | + | 0.792352i | ||||
\(419\) | −12.8287 | + | 12.8287i | −0.626725 | + | 0.626725i | −0.947243 | − | 0.320518i | \(-0.896143\pi\) |
0.320518 | + | 0.947243i | \(0.396143\pi\) | |||||||
\(420\) | 1.62400 | − | 1.80627i | 0.0792432 | − | 0.0881369i | ||||
\(421\) | −1.61823 | + | 20.5616i | −0.0788677 | + | 1.00211i | 0.822418 | + | 0.568884i | \(0.192625\pi\) |
−0.901286 | + | 0.433226i | \(0.857375\pi\) | |||||||
\(422\) | 29.7491 | − | 10.5468i | 1.44816 | − | 0.513412i | ||||
\(423\) | 21.8730 | − | 5.25124i | 1.06350 | − | 0.255324i | ||||
\(424\) | 2.69326 | + | 6.48215i | 0.130796 | + | 0.314801i | ||||
\(425\) | −1.24822 | − | 15.8601i | −0.0605474 | − | 0.769328i | ||||
\(426\) | −0.640953 | + | 0.285649i | −0.0310543 | + | 0.0138398i | ||||
\(427\) | −35.6929 | − | 41.7910i | −1.72730 | − | 2.02241i | ||||
\(428\) | 0.705866 | − | 1.58850i | 0.0341193 | − | 0.0767830i | ||||
\(429\) | −1.08856 | + | 4.53418i | −0.0525562 | + | 0.218913i | ||||
\(430\) | 3.87304 | + | 1.48511i | 0.186774 | + | 0.0716183i | ||||
\(431\) | −5.90755 | + | 0.935665i | −0.284557 | + | 0.0450694i | −0.297081 | − | 0.954852i | \(-0.596013\pi\) |
0.0125245 | + | 0.999922i | \(0.496013\pi\) | |||||||
\(432\) | −5.97478 | − | 5.65341i | −0.287462 | − | 0.272000i | ||||
\(433\) | −23.4383 | − | 32.2600i | −1.12637 | − | 1.55032i | −0.794782 | − | 0.606895i | \(-0.792415\pi\) |
−0.331591 | − | 0.943423i | \(-0.607585\pi\) | |||||||
\(434\) | 2.58709 | − | 0.480458i | 0.124184 | − | 0.0230627i | ||||
\(435\) | 1.56881 | + | 1.13981i | 0.0752188 | + | 0.0546497i | ||||
\(436\) | 12.8816 | + | 18.7137i | 0.616915 | + | 0.896224i | ||||
\(437\) | −34.3837 | + | 14.2422i | −1.64480 | + | 0.681297i | ||||
\(438\) | 1.40116 | + | 0.414489i | 0.0669499 | + | 0.0198051i | ||||
\(439\) | −11.2823 | + | 13.2099i | −0.538475 | + | 0.630473i | −0.961222 | − | 0.275774i | \(-0.911066\pi\) |
0.422747 | + | 0.906248i | \(0.361066\pi\) | |||||||
\(440\) | −0.511445 | + | 6.59015i | −0.0243822 | + | 0.314173i | ||||
\(441\) | 33.3695 | − | 10.8424i | 1.58902 | − | 0.516305i | ||||
\(442\) | −6.02667 | − | 22.4593i | −0.286659 | − | 1.06828i | ||||
\(443\) | −15.8069 | + | 31.0228i | −0.751009 | + | 1.47394i | 0.125265 | + | 0.992123i | \(0.460022\pi\) |
−0.876274 | + | 0.481814i | \(0.839978\pi\) | |||||||
\(444\) | −4.41745 | − | 2.39433i | −0.209643 | − | 0.113630i | ||||
\(445\) | 2.58235 | − | 4.21401i | 0.122415 | − | 0.199763i | ||||
\(446\) | −0.975842 | + | 18.7502i | −0.0462075 | + | 0.887849i | ||||
\(447\) | 2.43933 | + | 0.792588i | 0.115377 | + | 0.0374881i | ||||
\(448\) | −13.3418 | + | 32.4092i | −0.630341 | + | 1.53119i | ||||
\(449\) | 16.4974 | + | 2.61294i | 0.778562 | + | 0.123312i | 0.533053 | − | 0.846082i | \(-0.321045\pi\) |
0.245510 | + | 0.969394i | \(0.421045\pi\) | |||||||
\(450\) | −15.4122 | − | 8.89076i | −0.726536 | − | 0.419114i | ||||
\(451\) | 6.04866 | − | 17.8906i | 0.284820 | − | 0.842434i | ||||
\(452\) | 1.59143 | + | 2.75183i | 0.0748548 | + | 0.129435i | ||||
\(453\) | −0.749711 | + | 4.73349i | −0.0352245 | + | 0.222399i | ||||
\(454\) | −4.28478 | + | 3.29030i | −0.201095 | + | 0.154421i | ||||
\(455\) | 4.84734 | − | 14.9186i | 0.227247 | − | 0.699394i | ||||
\(456\) | 4.08184 | − | 2.08540i | 0.191150 | − | 0.0976577i | ||||
\(457\) | −7.93267 | − | 4.86114i | −0.371074 | − | 0.227395i | 0.324441 | − | 0.945906i | \(-0.394824\pi\) |
−0.695515 | + | 0.718511i | \(0.744824\pi\) | |||||||
\(458\) | 0.333727 | + | 12.5704i | 0.0155940 | + | 0.587375i | ||||
\(459\) | −6.66705 | − | 3.39703i | −0.311191 | − | 0.158560i | ||||
\(460\) | −12.3012 | − | 3.28654i | −0.573547 | − | 0.153236i | ||||
\(461\) | 3.33116 | + | 10.2523i | 0.155148 | + | 0.477495i | 0.998176 | − | 0.0603741i | \(-0.0192294\pi\) |
−0.843028 | + | 0.537869i | \(0.819229\pi\) | |||||||
\(462\) | 3.61930 | − | 5.27021i | 0.168385 | − | 0.245192i | ||||
\(463\) | −4.09007 | − | 3.49325i | −0.190082 | − | 0.162345i | 0.549315 | − | 0.835616i | \(-0.314889\pi\) |
−0.739396 | + | 0.673271i | \(0.764889\pi\) | |||||||
\(464\) | −26.8394 | − | 7.90789i | −1.24599 | − | 0.367114i | ||||
\(465\) | −0.0450557 | − | 0.108774i | −0.00208941 | − | 0.00504428i | ||||
\(466\) | −18.8093 | − | 8.96323i | −0.871326 | − | 0.415213i | ||||
\(467\) | 9.33868 | − | 12.8536i | 0.432142 | − | 0.594793i | −0.536301 | − | 0.844027i | \(-0.680179\pi\) |
0.968443 | + | 0.249234i | \(0.0801788\pi\) | |||||||
\(468\) | −24.5215 | − | 8.66351i | −1.13351 | − | 0.400471i | ||||
\(469\) | −23.3212 | + | 16.9438i | −1.07687 | + | 0.782393i | ||||
\(470\) | −6.02738 | + | 6.35614i | −0.278022 | + | 0.293187i | ||||
\(471\) | 0.322463 | + | 2.03595i | 0.0148583 | + | 0.0938118i | ||||
\(472\) | −10.9186 | + | 1.74151i | −0.502569 | + | 0.0801594i | ||||
\(473\) | 10.6162 | + | 2.54873i | 0.488135 | + | 0.117191i | ||||
\(474\) | −4.17458 | + | 0.440297i | −0.191745 | + | 0.0202235i | ||||
\(475\) | 15.3996 | − | 13.1525i | 0.706584 | − | 0.603480i | ||||
\(476\) | −3.30964 | + | 31.7102i | −0.151697 | + | 1.45344i | ||||
\(477\) | 7.11939 | − | 0.560308i | 0.325975 | − | 0.0256548i | ||||
\(478\) | −40.3685 | − | 5.29973i | −1.84641 | − | 0.242404i | ||||
\(479\) | −9.27763 | − | 38.6441i | −0.423906 | − | 1.76569i | −0.619487 | − | 0.785007i | \(-0.712659\pi\) |
0.195581 | − | 0.980687i | \(-0.437341\pi\) | |||||||
\(480\) | 1.54244 | + | 0.282984i | 0.0704026 | + | 0.0129164i | ||||
\(481\) | −32.3487 | − | 2.54590i | −1.47497 | − | 0.116083i | ||||
\(482\) | 4.53290 | − | 21.3637i | 0.206468 | − | 0.973090i | ||||
\(483\) | 8.70825 | + | 8.70825i | 0.396239 | + | 0.396239i | ||||
\(484\) | −0.244182 | − | 4.59552i | −0.0110992 | − | 0.208887i | ||||
\(485\) | −0.830327 | − | 1.35497i | −0.0377032 | − | 0.0615261i | ||||
\(486\) | −11.1060 | + | 6.03526i | −0.503777 | + | 0.273765i | ||||
\(487\) | 17.8399 | − | 9.08986i | 0.808401 | − | 0.411901i | −0.000388037 | − | 1.00000i | \(-0.500124\pi\) |
0.808789 | + | 0.588099i | \(0.200124\pi\) | |||||||
\(488\) | 10.9279 | − | 33.7574i | 0.494682 | − | 1.52813i | ||||
\(489\) | −4.34942 | − | 1.80159i | −0.196688 | − | 0.0814707i | ||||
\(490\) | −8.59460 | + | 10.6213i | −0.388265 | + | 0.479822i | ||||
\(491\) | 21.4025 | 0.965880 | 0.482940 | − | 0.875653i | \(-0.339569\pi\) | ||||
0.482940 | + | 0.875653i | \(0.339569\pi\) | |||||||
\(492\) | −4.07257 | − | 1.86787i | −0.183606 | − | 0.0842103i | ||||
\(493\) | −25.4531 | −1.14635 | ||||||||
\(494\) | 18.6204 | − | 23.0114i | 0.837772 | − | 1.03533i | ||||
\(495\) | 6.21297 | + | 2.57349i | 0.279252 | + | 0.115670i | ||||
\(496\) | 1.13856 | + | 1.26082i | 0.0511228 | + | 0.0566124i | ||||
\(497\) | 5.53606 | − | 2.82076i | 0.248326 | − | 0.126529i | ||||
\(498\) | 2.18218 | − | 1.18585i | 0.0977857 | − | 0.0531392i | ||||
\(499\) | −5.03879 | − | 8.22256i | −0.225567 | − | 0.368092i | 0.719756 | − | 0.694227i | \(-0.244254\pi\) |
−0.945323 | + | 0.326135i | \(0.894254\pi\) | |||||||
\(500\) | 14.8313 | − | 0.788056i | 0.663274 | − | 0.0352429i | ||||
\(501\) | −0.0113910 | − | 0.0113910i | −0.000508911 | − | 0.000508911i | ||||
\(502\) | 7.68994 | − | 36.2429i | 0.343219 | − | 1.61760i | ||||
\(503\) | −43.5925 | − | 3.43081i | −1.94370 | − | 0.152972i | −0.954363 | − | 0.298649i | \(-0.903464\pi\) |
−0.989332 | + | 0.145676i | \(0.953464\pi\) | |||||||
\(504\) | 27.1391 | + | 23.1280i | 1.20887 | + | 1.03020i | ||||
\(505\) | 2.99786 | + | 12.4870i | 0.133403 | + | 0.555664i | ||||
\(506\) | −33.2284 | − | 4.36234i | −1.47718 | − | 0.193930i | ||||
\(507\) | 2.58807 | − | 0.203685i | 0.114940 | − | 0.00904598i | ||||
\(508\) | 34.7020 | + | 3.62189i | 1.53965 | + | 0.160696i | ||||
\(509\) | 23.4359 | − | 20.0161i | 1.03878 | − | 0.887199i | 0.0450444 | − | 0.998985i | \(-0.485657\pi\) |
0.993732 | + | 0.111786i | \(0.0356571\pi\) | |||||||
\(510\) | 1.41868 | − | 0.149630i | 0.0628204 | − | 0.00662571i | ||||
\(511\) | −12.5802 | − | 3.02025i | −0.556517 | − | 0.133608i | ||||
\(512\) | −22.3372 | + | 3.61261i | −0.987173 | + | 0.159656i | ||||
\(513\) | −1.49006 | − | 9.40786i | −0.0657877 | − | 0.415367i | ||||
\(514\) | 3.18282 | − | 3.35643i | 0.140388 | − | 0.148046i | ||||
\(515\) | 0.989561 | − | 0.718958i | 0.0436053 | − | 0.0316811i | ||||
\(516\) | 0.862866 | − | 2.44228i | 0.0379856 | − | 0.107516i | ||||
\(517\) | −13.5519 | + | 18.6526i | −0.596013 | + | 0.820341i | ||||
\(518\) | 40.1623 | + | 19.1386i | 1.76463 | + | 0.840901i | ||||
\(519\) | −0.344967 | − | 0.832824i | −0.0151424 | − | 0.0365569i | ||||
\(520\) | 9.84491 | − | 2.37488i | 0.431728 | − | 0.104145i | ||||
\(521\) | 12.3344 | + | 10.5346i | 0.540381 | + | 0.461529i | 0.877258 | − | 0.480020i | \(-0.159371\pi\) |
−0.336877 | + | 0.941549i | \(0.609371\pi\) | |||||||
\(522\) | −16.1151 | + | 23.4659i | −0.705340 | + | 1.02707i | ||||
\(523\) | 4.94887 | + | 15.2311i | 0.216399 | + | 0.666008i | 0.999051 | + | 0.0435487i | \(0.0138664\pi\) |
−0.782652 | + | 0.622459i | \(0.786134\pi\) | |||||||
\(524\) | −4.30779 | + | 16.1236i | −0.188187 | + | 0.704365i | ||||
\(525\) | −5.97110 | − | 3.04243i | −0.260600 | − | 0.132782i | ||||
\(526\) | 0.0543107 | + | 2.04570i | 0.00236806 | + | 0.0891969i | ||||
\(527\) | 1.31766 | + | 0.807460i | 0.0573980 | + | 0.0351735i | ||||
\(528\) | 4.12226 | + | 0.210045i | 0.179398 | + | 0.00914102i | ||||
\(529\) | 12.8417 | − | 39.5226i | 0.558333 | − | 1.71837i | ||||
\(530\) | −2.20564 | + | 1.69372i | −0.0958069 | + | 0.0735704i | ||||
\(531\) | −1.75970 | + | 11.1103i | −0.0763644 | + | 0.482146i | ||||
\(532\) | −35.1333 | + | 20.3182i | −1.52322 | + | 0.880905i | ||||
\(533\) | −28.9328 | − | 0.343382i | −1.25322 | − | 0.0148735i | ||||
\(534\) | −2.67332 | − | 1.54215i | −0.115686 | − | 0.0667353i | ||||
\(535\) | 0.680184 | + | 0.107731i | 0.0294069 | + | 0.00465760i | ||||
\(536\) | −17.2019 | − | 7.10334i | −0.743008 | − | 0.306818i | ||||
\(537\) | −1.65457 | − | 0.537604i | −0.0714002 | − | 0.0231993i | ||||
\(538\) | 0.656380 | − | 12.6119i | 0.0282985 | − | 0.543740i | ||||
\(539\) | −18.7903 | + | 30.6630i | −0.809355 | + | 1.32075i | ||||
\(540\) | 1.55287 | − | 2.86498i | 0.0668249 | − | 0.123289i | ||||
\(541\) | 6.52465 | − | 12.8054i | 0.280517 | − | 0.550545i | −0.707160 | − | 0.707054i | \(-0.750024\pi\) |
0.987677 | + | 0.156509i | \(0.0500239\pi\) | |||||||
\(542\) | −4.00182 | − | 14.9134i | −0.171893 | − | 0.640584i | ||||
\(543\) | 0.668546 | − | 0.217224i | 0.0286901 | − | 0.00932197i | ||||
\(544\) | −18.5625 | + | 8.89520i | −0.795861 | + | 0.381378i | ||||
\(545\) | −5.84544 | + | 6.84413i | −0.250391 | + | 0.293170i | ||||
\(546\) | −9.39299 | − | 2.77863i | −0.401983 | − | 0.118914i | ||||
\(547\) | 14.4186 | − | 5.97236i | 0.616493 | − | 0.255360i | −0.0525089 | − | 0.998620i | \(-0.516722\pi\) |
0.669002 | + | 0.743261i | \(0.266722\pi\) | |||||||
\(548\) | −19.5938 | + | 13.4874i | −0.837005 | + | 0.576152i | ||||
\(549\) | −29.2046 | − | 21.2184i | −1.24642 | − | 0.905579i | ||||
\(550\) | 17.9302 | − | 3.32988i | 0.764544 | − | 0.141987i | ||||
\(551\) | −19.0448 | − | 26.2129i | −0.811336 | − | 1.11671i | ||||
\(552\) | −1.84770 | + | 7.73327i | −0.0786434 | + | 0.329150i | ||||
\(553\) | 36.7104 | − | 5.81436i | 1.56109 | − | 0.247252i | ||||
\(554\) | 42.0371 | + | 16.1190i | 1.78598 | + | 0.684832i | ||||
\(555\) | 0.464704 | − | 1.93563i | 0.0197256 | − | 0.0821631i | ||||
\(556\) | 18.7890 | + | 8.34909i | 0.796831 | + | 0.354080i | ||||
\(557\) | −6.66607 | − | 7.80497i | −0.282451 | − | 0.330707i | 0.600985 | − | 0.799261i | \(-0.294775\pi\) |
−0.883435 | + | 0.468554i | \(0.844775\pi\) | |||||||
\(558\) | 1.57867 | − | 0.703554i | 0.0668304 | − | 0.0297838i | ||||
\(559\) | −1.31243 | − | 16.6761i | −0.0555100 | − | 0.705322i | ||||
\(560\) | −13.7690 | − | 1.79242i | −0.581847 | − | 0.0757435i | ||||
\(561\) | 3.65106 | − | 0.876543i | 0.154148 | − | 0.0370077i | ||||
\(562\) | −10.2399 | + | 3.63032i | −0.431945 | + | 0.153136i | ||||
\(563\) | 1.29198 | − | 16.4162i | 0.0544506 | − | 0.691861i | −0.907749 | − | 0.419515i | \(-0.862200\pi\) |
0.962199 | − | 0.272346i | \(-0.0877997\pi\) | |||||||
\(564\) | 4.06760 | + | 3.65714i | 0.171277 | + | 0.153993i | ||||
\(565\) | −0.890530 | + | 0.890530i | −0.0374649 | + | 0.0374649i | ||||
\(566\) | −5.66870 | − | 8.72211i | −0.238273 | − | 0.366618i | ||||
\(567\) | 29.5595 | − | 18.1141i | 1.24138 | − | 0.760720i | ||||
\(568\) | 3.42253 | + | 2.09221i | 0.143606 | + | 0.0877873i | ||||
\(569\) | 10.9819 | + | 21.5532i | 0.460385 | + | 0.903556i | 0.998170 | + | 0.0604738i | \(0.0192611\pi\) |
−0.537785 | + | 0.843082i | \(0.680739\pi\) | |||||||
\(570\) | 1.21560 | + | 1.34908i | 0.0509160 | + | 0.0565067i | ||||
\(571\) | 5.91140 | − | 14.2714i | 0.247384 | − | 0.597239i | −0.750596 | − | 0.660761i | \(-0.770233\pi\) |
0.997980 | + | 0.0635226i | \(0.0202335\pi\) | |||||||
\(572\) | 24.8785 | − | 9.57068i | 1.04022 | − | 0.400170i | ||||
\(573\) | − | 2.77196i | − | 0.115800i | ||||||
\(574\) | 36.8706 | + | 14.6422i | 1.53895 | + | 0.611153i | ||||
\(575\) | 35.1291i | 1.46499i | ||||||||
\(576\) | −3.55177 | + | 22.7451i | −0.147990 | + | 0.947712i | ||||
\(577\) | −12.8937 | + | 31.1282i | −0.536773 | + | 1.29588i | 0.390191 | + | 0.920734i | \(0.372409\pi\) |
−0.926964 | + | 0.375151i | \(0.877591\pi\) | |||||||
\(578\) | 3.94998 | − | 3.55917i | 0.164298 | − | 0.148042i | ||||
\(579\) | 1.31016 | + | 2.57134i | 0.0544485 | + | 0.106861i | ||||
\(580\) | 0.282140 | − | 11.0815i | 0.0117152 | − | 0.460135i | ||||
\(581\) | −18.7498 | + | 11.4899i | −0.777873 | + | 0.476681i | ||||
\(582\) | −0.832056 | + | 0.540772i | −0.0344898 | + | 0.0224157i | ||||
\(583\) | −5.17576 | + | 5.17576i | −0.214358 | + | 0.214358i | ||||
\(584\) | −2.58978 | − | 7.94113i | −0.107166 | − | 0.328606i | ||||
\(585\) | 0.808391 | − | 10.2716i | 0.0334229 | − | 0.424678i | ||||
\(586\) | −9.67782 | − | 27.2979i | −0.399787 | − | 1.12766i | ||||
\(587\) | 2.73564 | − | 0.656768i | 0.112912 | − | 0.0271077i | −0.176596 | − | 0.984283i | \(-0.556508\pi\) |
0.289507 | + | 0.957176i | \(0.406508\pi\) | |||||||
\(588\) | 6.77260 | + | 5.18900i | 0.279297 | + | 0.213991i | ||||
\(589\) | 0.154347 | + | 1.96116i | 0.00635975 | + | 0.0808083i | ||||
\(590\) | −1.78311 | − | 4.00102i | −0.0734094 | − | 0.164720i | ||||
\(591\) | 1.43953 | + | 1.68548i | 0.0592145 | + | 0.0693313i | ||||
\(592\) | 3.04378 | + | 28.5612i | 0.125099 | + | 1.17386i | ||||
\(593\) | −9.04729 | + | 37.6847i | −0.371528 | + | 1.54752i | 0.403129 | + | 0.915143i | \(0.367923\pi\) |
−0.774657 | + | 0.632382i | \(0.782077\pi\) | |||||||
\(594\) | 3.07094 | − | 8.00875i | 0.126002 | − | 0.328603i | ||||
\(595\) | −12.4756 | + | 1.97594i | −0.511450 | + | 0.0810057i | ||||
\(596\) | −4.17441 | − | 14.0551i | −0.170990 | − | 0.575721i | ||||
\(597\) | 3.56251 | + | 4.90338i | 0.145804 | + | 0.200682i | ||||
\(598\) | 9.37553 | + | 50.4837i | 0.383394 | + | 2.06443i | ||||
\(599\) | −0.135318 | − | 0.0983142i | −0.00552894 | − | 0.00401701i | 0.585017 | − | 0.811021i | \(-0.301088\pi\) |
−0.590546 | + | 0.807004i | \(0.701088\pi\) | |||||||
\(600\) | −0.344151 | − | 4.31288i | −0.0140499 | − | 0.176073i | ||||
\(601\) | 21.1471 | − | 8.75944i | 0.862610 | − | 0.357305i | 0.0928824 | − | 0.995677i | \(-0.470392\pi\) |
0.769728 | + | 0.638372i | \(0.220392\pi\) | |||||||
\(602\) | −6.50582 | + | 21.9926i | −0.265157 | + | 0.896350i | ||||
\(603\) | −12.2969 | + | 14.3978i | −0.500766 | + | 0.586322i | ||||
\(604\) | 24.7187 | − | 11.8122i | 1.00579 | − | 0.480633i | ||||
\(605\) | 1.73398 | − | 0.563403i | 0.0704961 | − | 0.0229056i | ||||
\(606\) | 7.74510 | − | 2.07830i | 0.314623 | − | 0.0844253i | ||||
\(607\) | 4.16571 | − | 8.17566i | 0.169081 | − | 0.331840i | −0.790881 | − | 0.611969i | \(-0.790378\pi\) |
0.959962 | + | 0.280130i | \(0.0903775\pi\) | |||||||
\(608\) | −23.0498 | − | 12.4610i | −0.934794 | − | 0.505360i | ||||
\(609\) | −5.60211 | + | 9.14181i | −0.227009 | + | 0.370445i | ||||
\(610\) | 14.0382 | + | 0.730609i | 0.568391 | + | 0.0295815i | ||||
\(611\) | 33.5957 | + | 10.9159i | 1.35913 | + | 0.441610i | ||||
\(612\) | 2.74847 | + | 20.7604i | 0.111100 | + | 0.839190i | ||||
\(613\) | −2.70083 | − | 0.427770i | −0.109086 | − | 0.0172774i | 0.101653 | − | 0.994820i | \(-0.467587\pi\) |
−0.210739 | + | 0.977542i | \(0.567587\pi\) | |||||||
\(614\) | 21.6871 | − | 37.5946i | 0.875220 | − | 1.51720i | ||||
\(615\) | 0.298469 | − | 1.74980i | 0.0120354 | − | 0.0705586i | ||||
\(616\) | −36.5470 | + | 0.0397476i | −1.47252 | + | 0.00160148i | ||||
\(617\) | 3.72748 | − | 23.5344i | 0.150063 | − | 0.947459i | −0.791634 | − | 0.610996i | \(-0.790769\pi\) |
0.941697 | − | 0.336463i | \(-0.109231\pi\) | |||||||
\(618\) | −0.465196 | − | 0.605801i | −0.0187129 | − | 0.0243689i | ||||
\(619\) | −1.33096 | + | 4.09627i | −0.0534957 | + | 0.164643i | −0.974235 | − | 0.225536i | \(-0.927587\pi\) |
0.920739 | + | 0.390179i | \(0.127587\pi\) | |||||||
\(620\) | −0.366151 | + | 0.564718i | −0.0147050 | + | 0.0226796i | ||||
\(621\) | 14.0877 | + | 8.63293i | 0.565318 | + | 0.346428i | ||||
\(622\) | 12.3277 | − | 0.327284i | 0.494296 | − | 0.0131229i | ||||
\(623\) | 24.3480 | + | 12.4059i | 0.975482 | + | 0.497033i | ||||
\(624\) | −1.64563 | − | 6.10615i | −0.0658780 | − | 0.244442i | ||||
\(625\) | −4.93709 | − | 15.1948i | −0.197484 | − | 0.607793i | ||||
\(626\) | 31.8103 | + | 21.8457i | 1.27140 | + | 0.873129i | ||||
\(627\) | 3.63456 | + | 3.10420i | 0.145150 | + | 0.123970i | ||||
\(628\) | 8.54157 | − | 8.11742i | 0.340846 | − | 0.323920i | ||||
\(629\) | 9.99902 | + | 24.1398i | 0.398687 | + | 0.962516i | ||||
\(630\) | −6.07702 | + | 12.7526i | −0.242114 | + | 0.508077i | ||||
\(631\) | −14.0857 | + | 19.3873i | −0.560743 | + | 0.771796i | −0.991421 | − | 0.130710i | \(-0.958274\pi\) |
0.430678 | + | 0.902506i | \(0.358274\pi\) | |||||||
\(632\) | 15.6041 | + | 18.2299i | 0.620698 | + | 0.725145i | ||||
\(633\) | 6.31726 | − | 4.58976i | 0.251089 | − | 0.182427i | ||||
\(634\) | 5.90855 | + | 5.60294i | 0.234659 | + | 0.222521i | ||||
\(635\) | 2.16237 | + | 13.6527i | 0.0858110 | + | 0.541789i | ||||
\(636\) | 1.09383 | + | 1.34876i | 0.0433730 | + | 0.0534819i | ||||
\(637\) | 53.5765 | + | 12.8626i | 2.12278 | + | 0.509634i | ||||
\(638\) | −3.06034 | − | 29.0160i | −0.121160 | − | 1.14875i | ||||
\(639\) | 3.10329 | − | 2.65046i | 0.122764 | − | 0.104851i | ||||
\(640\) | −3.66695 | − | 8.18017i | −0.144949 | − | 0.323350i | ||||
\(641\) | 24.8579 | − | 1.95636i | 0.981829 | − | 0.0772716i | 0.422628 | − | 0.906303i | \(-0.361108\pi\) |
0.559201 | + | 0.829032i | \(0.311108\pi\) | |||||||
\(642\) | 0.0559765 | − | 0.426378i | 0.00220922 | − | 0.0168278i | ||||
\(643\) | 3.22559 | + | 13.4356i | 0.127205 | + | 0.529846i | 0.999187 | + | 0.0403092i | \(0.0128343\pi\) |
−0.871982 | + | 0.489537i | \(0.837166\pi\) | |||||||
\(644\) | 12.7792 | − | 69.2304i | 0.503570 | − | 2.72806i | ||||
\(645\) | 1.02303 | + | 0.0805140i | 0.0402817 | + | 0.00317024i | ||||
\(646\) | −23.3169 | − | 4.94732i | −0.917390 | − | 0.194650i | ||||
\(647\) | −12.1590 | − | 12.1590i | −0.478021 | − | 0.478021i | 0.426478 | − | 0.904498i | \(-0.359754\pi\) |
−0.904498 | + | 0.426478i | \(0.859754\pi\) | |||||||
\(648\) | 19.9538 | + | 10.1396i | 0.783858 | + | 0.398322i | ||||
\(649\) | −6.02416 | − | 9.83053i | −0.236469 | − | 0.385882i | ||||
\(650\) | −13.3412 | − | 24.5502i | −0.523285 | − | 0.962938i | ||||
\(651\) | 0.580021 | − | 0.295535i | 0.0227328 | − | 0.0115829i | ||||
\(652\) | 5.61436 | + | 26.3196i | 0.219875 | + | 1.03076i | ||||
\(653\) | −0.343848 | − | 0.142426i | −0.0134558 | − | 0.00557357i | 0.375945 | − | 0.926642i | \(-0.377318\pi\) |
−0.389401 | + | 0.921068i | \(0.627318\pi\) | |||||||
\(654\) | 4.36920 | + | 3.53548i | 0.170849 | + | 0.138248i | ||||
\(655\) | −6.61188 | −0.258348 | ||||||||
\(656\) | 4.40491 | + | 25.2309i | 0.171983 | + | 0.985100i | ||||
\(657\) | −8.49795 | −0.331536 | ||||||||
\(658\) | −37.6500 | − | 30.4658i | −1.46775 | − | 1.18768i | ||||
\(659\) | −6.27264 | − | 2.59821i | −0.244347 | − | 0.101212i | 0.257149 | − | 0.966372i | \(-0.417217\pi\) |
−0.501496 | + | 0.865160i | \(0.667217\pi\) | |||||||
\(660\) | 0.341150 | + | 1.59928i | 0.0132793 | + | 0.0622520i | ||||
\(661\) | 29.8801 | − | 15.2247i | 1.16220 | − | 0.592171i | 0.236949 | − | 0.971522i | \(-0.423853\pi\) |
0.925253 | + | 0.379351i | \(0.123853\pi\) | |||||||
\(662\) | −14.8138 | − | 27.2601i | −0.575755 | − | 1.05949i | ||||
\(663\) | −3.00585 | − | 4.90511i | −0.116738 | − | 0.190499i | ||||
\(664\) | −12.6568 | − | 6.43164i | −0.491180 | − | 0.249596i | ||||
\(665\) | −11.3696 | − | 11.3696i | −0.440894 | − | 0.440894i | ||||
\(666\) | 28.5858 | + | 6.06527i | 1.10768 | + | 0.235024i | ||||
\(667\) | 56.0298 | + | 4.40964i | 2.16948 | + | 0.170742i | ||||
\(668\) | −0.0167160 | + | 0.0905580i | −0.000646762 | + | 0.00350379i | ||||
\(669\) | 1.08435 | + | 4.51663i | 0.0419232 | + | 0.174623i | ||||
\(670\) | 0.959743 | − | 7.31045i | 0.0370781 | − | 0.282427i | ||||
\(671\) | 36.8857 | − | 2.90297i | 1.42396 | − | 0.112068i | ||||
\(672\) | −0.890697 | + | 8.62477i | −0.0343594 | + | 0.332708i | ||||
\(673\) | −14.6744 | + | 12.5331i | −0.565655 | + | 0.483115i | −0.885681 | − | 0.464294i | \(-0.846308\pi\) |
0.320026 | + | 0.947409i | \(0.396308\pi\) | |||||||
\(674\) | −2.83289 | − | 26.8595i | −0.109119 | − | 1.03459i | ||||
\(675\) | −8.74243 | − | 2.09887i | −0.336496 | − | 0.0807856i | ||||
\(676\) | −9.34766 | − | 11.5263i | −0.359525 | − | 0.443319i | ||||
\(677\) | 0.883366 | + | 5.57736i | 0.0339505 | + | 0.214355i | 0.998831 | − | 0.0483331i | \(-0.0153909\pi\) |
−0.964881 | + | 0.262688i | \(0.915391\pi\) | |||||||
\(678\) | 0.570655 | + | 0.541139i | 0.0219159 | + | 0.0207823i | ||||
\(679\) | 7.10845 | − | 5.16459i | 0.272797 | − | 0.198199i | ||||
\(680\) | −5.30287 | − | 6.19521i | −0.203356 | − | 0.237575i | ||||
\(681\) | −0.785580 | + | 1.08126i | −0.0301035 | + | 0.0414339i | ||||
\(682\) | −0.762062 | + | 1.59919i | −0.0291809 | + | 0.0612361i | ||||
\(683\) | 11.3178 | + | 27.3236i | 0.433064 | + | 1.04551i | 0.978294 | + | 0.207222i | \(0.0664424\pi\) |
−0.545230 | + | 0.838287i | \(0.683558\pi\) | |||||||
\(684\) | −19.3237 | + | 18.3641i | −0.738860 | + | 0.702171i | ||||
\(685\) | −7.16599 | − | 6.12034i | −0.273798 | − | 0.233846i | ||||
\(686\) | −26.5225 | − | 18.2143i | −1.01264 | − | 0.695425i | ||||
\(687\) | 0.961330 | + | 2.95867i | 0.0366770 | + | 0.112880i | ||||
\(688\) | −14.2968 | + | 3.85305i | −0.545061 | + | 0.146896i | ||||
\(689\) | 9.99228 | + | 5.09132i | 0.380676 | + | 0.193964i | ||||
\(690\) | −3.14887 | + | 0.0835985i | −0.119876 | + | 0.00318254i | ||||
\(691\) | −38.4016 | − | 23.5325i | −1.46087 | − | 0.895220i | −0.999970 | − | 0.00776607i | \(-0.997528\pi\) |
−0.460896 | − | 0.887454i | \(-0.652472\pi\) | |||||||
\(692\) | −2.80342 | + | 4.32374i | −0.106570 | + | 0.164364i | ||||
\(693\) | −11.4900 | + | 35.3625i | −0.436468 | + | 1.34331i | ||||
\(694\) | 10.0430 | + | 13.0785i | 0.381227 | + | 0.496452i | ||||
\(695\) | −1.27425 | + | 8.04532i | −0.0483352 | + | 0.305176i | ||||
\(696\) | −6.92211 | + | 0.00752832i | −0.262382 | + | 0.000285360i | ||||
\(697\) | 10.3305 | + | 20.8838i | 0.391296 | + | 0.791031i | ||||
\(698\) | 7.00765 | − | 12.1478i | 0.265243 | − | 0.459800i | ||||
\(699\) | −5.09118 | − | 0.806364i | −0.192566 | − | 0.0304995i | ||||
\(700\) | 5.02785 | + | 37.9775i | 0.190035 | + | 1.43542i | ||||
\(701\) | −26.6916 | − | 8.67264i | −1.00813 | − | 0.327561i | −0.242020 | − | 0.970271i | \(-0.577810\pi\) |
−0.766109 | + | 0.642710i | \(0.777810\pi\) | |||||||
\(702\) | −13.1238 | − | 0.683019i | −0.495327 | − | 0.0257789i | ||||
\(703\) | −17.3788 | + | 28.3597i | −0.655456 | + | 1.06961i | ||||
\(704\) | −12.3722 | − | 20.0914i | −0.466295 | − | 0.757223i | ||||
\(705\) | −0.983824 | + | 1.93086i | −0.0370530 | + | 0.0727205i | ||||
\(706\) | 26.4279 | − | 7.09159i | 0.994626 | − | 0.266896i | ||||
\(707\) | −67.5283 | + | 21.9413i | −2.53966 | + | 0.825186i | ||||
\(708\) | −2.46802 | + | 1.17938i | −0.0927537 | + | 0.0443238i | ||||
\(709\) | −2.43790 | + | 2.85441i | −0.0915571 | + | 0.107200i | −0.804293 | − | 0.594233i | \(-0.797456\pi\) |
0.712736 | + | 0.701432i | \(0.247456\pi\) | |||||||
\(710\) | −0.450809 | + | 1.52393i | −0.0169185 | + | 0.0571922i | ||||
\(711\) | 22.5549 | − | 9.34256i | 0.845876 | − | 0.350373i | ||||
\(712\) | 1.40333 | + | 17.5864i | 0.0525919 | + | 0.659078i | ||||
\(713\) | −2.76067 | − | 2.00574i | −0.103388 | − | 0.0751157i | ||||
\(714\) | 1.44020 | + | 7.75492i | 0.0538981 | + | 0.290221i | ||||
\(715\) | 6.20730 | + | 8.54361i | 0.232140 | + | 0.319513i | ||||
\(716\) | 2.83146 | + | 9.53345i | 0.105816 | + | 0.356282i | ||||
\(717\) | −9.94861 | + | 1.57570i | −0.371537 | + | 0.0588458i | ||||
\(718\) | 14.8895 | − | 38.8305i | 0.555670 | − | 1.44914i | ||||
\(719\) | −11.6256 | + | 48.4243i | −0.433563 | + | 1.80592i | 0.144003 | + | 0.989577i | \(0.454003\pi\) |
−0.577566 | + | 0.816344i | \(0.695997\pi\) | |||||||
\(720\) | −9.06894 | + | 0.966483i | −0.337980 | + | 0.0360187i | ||||
\(721\) | 4.39220 | + | 5.14261i | 0.163574 | + | 0.191521i | ||||
\(722\) | −1.41349 | − | 3.17166i | −0.0526047 | − | 0.118037i | ||||
\(723\) | −0.423907 | − | 5.38625i | −0.0157653 | − | 0.200317i | ||||
\(724\) | −3.18977 | − | 2.44393i | −0.118547 | − | 0.0908278i | ||||
\(725\) | −29.7385 | + | 7.13959i | −1.10446 | + | 0.265158i | ||||
\(726\) | −0.380430 | − | 1.07307i | −0.0141191 | − | 0.0398252i | ||||
\(727\) | −0.626741 | + | 7.96350i | −0.0232445 | + | 0.295350i | 0.974297 | + | 0.225268i | \(0.0723259\pi\) |
−0.997541 | + | 0.0700815i | \(0.977674\pi\) | |||||||
\(728\) | 17.3612 | + | 53.2353i | 0.643450 | + | 1.97303i | ||||
\(729\) | 14.5755 | − | 14.5755i | 0.539835 | − | 0.539835i | ||||
\(730\) | 2.77465 | − | 1.80331i | 0.102694 | − | 0.0667435i | ||||
\(731\) | −11.4847 | + | 7.03784i | −0.424777 | + | 0.260304i | ||||
\(732\) | 0.223420 | − | 8.77521i | 0.00825785 | − | 0.324341i | ||||
\(733\) | −13.6264 | − | 26.7432i | −0.503301 | − | 0.987784i | −0.993246 | − | 0.116031i | \(-0.962983\pi\) |
0.489944 | − | 0.871754i | \(-0.337017\pi\) | |||||||
\(734\) | −23.7480 | + | 21.3984i | −0.876553 | + | 0.789828i | ||||
\(735\) | −1.29353 | + | 3.12286i | −0.0477126 | + | 0.115188i | ||||
\(736\) | 42.4027 | − | 16.3651i | 1.56298 | − | 0.603227i | ||||
\(737\) | − | 19.4068i | − | 0.714860i | ||||||
\(738\) | 25.7939 | + | 3.69822i | 0.949488 | + | 0.136133i | ||||
\(739\) | − | 36.2334i | − | 1.33287i | −0.745564 | − | 0.666434i | \(-0.767820\pi\) | ||
0.745564 | − | 0.666434i | \(-0.232180\pi\) | |||||||
\(740\) | −10.6206 | + | 4.08570i | −0.390421 | + | 0.150193i | ||||
\(741\) | 2.80247 | − | 6.76575i | 0.102951 | − | 0.248546i | ||||
\(742\) | −10.2927 | − | 11.4228i | −0.377855 | − | 0.419345i | ||||
\(743\) | −3.72148 | − | 7.30381i | −0.136528 | − | 0.267951i | 0.812612 | − | 0.582804i | \(-0.198045\pi\) |
−0.949140 | + | 0.314853i | \(0.898045\pi\) | |||||||
\(744\) | 0.358583 | + | 0.219204i | 0.0131463 | + | 0.00803641i | ||||
\(745\) | 4.95275 | − | 3.03505i | 0.181455 | − | 0.111196i | ||||
\(746\) | −13.3790 | − | 20.5855i | −0.489840 | − | 0.753689i | ||||
\(747\) | −10.2135 | + | 10.2135i | −0.373691 | + | 0.373691i | ||||
\(748\) | −15.9614 | − | 14.3508i | −0.583607 | − | 0.524716i | ||||
\(749\) | −0.298746 | + | 3.79593i | −0.0109160 | + | 0.138700i | ||||
\(750\) | 3.46314 | − | 1.22777i | 0.126456 | − | 0.0448320i | ||||
\(751\) | 17.4094 | − | 4.17963i | 0.635278 | − | 0.152517i | 0.0970005 | − | 0.995284i | \(-0.469075\pi\) |
0.538278 | + | 0.842768i | \(0.319075\pi\) | |||||||
\(752\) | 4.03640 | − | 31.0069i | 0.147192 | − | 1.13071i | ||||
\(753\) | −0.719146 | − | 9.13762i | −0.0262072 | − | 0.332993i | ||||
\(754\) | −40.8314 | + | 18.1971i | −1.48699 | + | 0.662698i | ||||
\(755\) | 7.04891 | + | 8.25321i | 0.256536 | + | 0.300365i | ||||
\(756\) | 16.4655 | + | 7.31663i | 0.598846 | + | 0.266103i | ||||
\(757\) | 5.31897 | − | 22.1551i | 0.193321 | − | 0.805240i | −0.788438 | − | 0.615114i | \(-0.789110\pi\) |
0.981760 | − | 0.190127i | \(-0.0608899\pi\) | |||||||
\(758\) | −36.6099 | − | 14.0380i | −1.32973 | − | 0.509883i | ||||
\(759\) | −8.18895 | + | 1.29700i | −0.297240 | + | 0.0470782i | ||||
\(760\) | 2.41238 | − | 10.0966i | 0.0875062 | − | 0.366244i | ||||
\(761\) | 17.9378 | + | 24.6893i | 0.650246 | + | 0.894986i | 0.999110 | − | 0.0421869i | \(-0.0134325\pi\) |
−0.348864 | + | 0.937173i | \(0.613433\pi\) | |||||||
\(762\) | 8.48659 | − | 1.57608i | 0.307437 | − | 0.0570953i | ||||
\(763\) | −40.2609 | − | 29.2512i | −1.45754 | − | 1.05897i | ||||
\(764\) | −13.0524 | + | 8.98461i | −0.472219 | + | 0.325052i | ||||
\(765\) | −7.66503 | + | 3.17496i | −0.277130 | + | 0.114791i | ||||
\(766\) | 35.2588 | + | 10.4302i | 1.27395 | + | 0.376860i | ||||
\(767\) | −11.4723 | + | 13.4323i | −0.414241 | + | 0.485013i | ||||
\(768\) | −5.04555 | + | 2.42459i | −0.182066 | + | 0.0874900i | ||||
\(769\) | −1.57203 | + | 0.510784i | −0.0566889 | + | 0.0184194i | −0.337224 | − | 0.941424i | \(-0.609488\pi\) |
0.280535 | + | 0.959844i | \(0.409488\pi\) | |||||||
\(770\) | −3.75254 | − | 13.9844i | −0.135232 | − | 0.503962i | ||||
\(771\) | 0.519519 | − | 1.01961i | 0.0187100 | − | 0.0367205i | ||||
\(772\) | 7.86118 | − | 14.5036i | 0.282930 | − | 0.521994i | ||||
\(773\) | −23.9501 | + | 39.0830i | −0.861426 | + | 1.40572i | 0.0519713 | + | 0.998649i | \(0.483450\pi\) |
−0.913397 | + | 0.407070i | \(0.866550\pi\) | |||||||
\(774\) | −0.782951 | + | 15.0439i | −0.0281426 | + | 0.540743i | ||||
\(775\) | 1.76600 | + | 0.573808i | 0.0634365 | + | 0.0206118i | ||||
\(776\) | 5.24325 | + | 2.16515i | 0.188222 | + | 0.0777242i | ||||
\(777\) | 10.8709 | + | 1.72178i | 0.389990 | + | 0.0617684i | ||||
\(778\) | 8.08479 | + | 4.66385i | 0.289854 | + | 0.167207i | ||||
\(779\) | −13.7777 | + | 26.2649i | −0.493636 | + | 0.941038i | ||||
\(780\) | 2.16886 | − | 1.25429i | 0.0776576 | − | 0.0449108i | ||||
\(781\) | −0.654357 | + | 4.13145i | −0.0234147 | + | 0.147835i | ||||
\(782\) | 32.7929 | − | 25.1818i | 1.17267 | − | 0.900499i | ||||
\(783\) | −4.44504 | + | 13.6804i | −0.158853 | + | 0.488899i | ||||
\(784\) | 2.48192 | − | 48.7092i | 0.0886399 | − | 1.73961i | ||||
\(785\) | 3.98043 | + | 2.43921i | 0.142068 | + | 0.0870591i | ||||
\(786\) | 0.109576 | + | 4.12735i | 0.00390843 | + | 0.147218i | ||||
\(787\) | 11.2127 | + | 5.71314i | 0.399688 | + | 0.203651i | 0.642268 | − | 0.766480i | \(-0.277994\pi\) |
−0.242580 | + | 0.970131i | \(0.577994\pi\) | |||||||
\(788\) | 3.27057 | − | 12.2414i | 0.116509 | − | 0.436083i | ||||
\(789\) | 0.156447 | + | 0.481493i | 0.00556965 | + | 0.0171416i | ||||
\(790\) | −5.38183 | + | 7.83670i | −0.191477 | + | 0.278817i | ||||
\(791\) | −5.29495 | − | 4.52231i | −0.188267 | − | 0.160795i | ||||
\(792\) | −23.3360 | + | 5.62933i | −0.829209 | + | 0.200030i | ||||
\(793\) | −21.6937 | − | 52.3732i | −0.770366 | − | 1.85983i | ||||
\(794\) | −15.5839 | − | 7.42620i | −0.553052 | − | 0.263546i | ||||
\(795\) | −0.404386 | + | 0.556590i | −0.0143421 | + | 0.0197402i | ||||
\(796\) | 11.5417 | − | 32.6680i | 0.409084 | − | 1.15789i | ||||
\(797\) | 21.1237 | − | 15.3473i | 0.748241 | − | 0.543629i | −0.147040 | − | 0.989131i | \(-0.546975\pi\) |
0.895281 | + | 0.445502i | \(0.146975\pi\) | |||||||
\(798\) | −6.90884 | + | 7.28568i | −0.244570 | + | 0.257910i | ||||
\(799\) | −4.44969 | − | 28.0942i | −0.157419 | − | 0.993902i | ||||
\(800\) | −19.1927 | + | 15.5996i | −0.678565 | + | 0.551531i | ||||
\(801\) | 17.4530 | + | 4.19010i | 0.616673 | + | 0.148050i | ||||
\(802\) | −19.0401 | + | 2.00817i | −0.672328 | + | 0.0709109i | ||||
\(803\) | 6.62315 | − | 5.65671i | 0.233726 | − | 0.199621i | ||||
\(804\) | −4.57932 | − | 0.477949i | −0.161500 | − | 0.0168560i | ||||
\(805\) | 27.8049 | − | 2.18829i | 0.979994 | − | 0.0771272i | ||||
\(806\) | 2.69104 | + | 0.353290i | 0.0947879 | + | 0.0124441i | ||||
\(807\) | −0.729362 | − | 3.03801i | −0.0256748 | − | 0.106943i | ||||
\(808\) | −34.8899 | − | 29.7333i | −1.22742 | − | 1.04601i | ||||
\(809\) | 32.6829 | + | 2.57220i | 1.14907 | + | 0.0904337i | 0.638654 | − | 0.769494i | \(-0.279492\pi\) |
0.510415 | + | 0.859928i | \(0.329492\pi\) | |||||||
\(810\) | −1.84048 | + | 8.67423i | −0.0646678 | + | 0.304782i | ||||
\(811\) | 29.7404 | + | 29.7404i | 1.04433 | + | 1.04433i | 0.998971 | + | 0.0453568i | \(0.0144425\pi\) |
0.0453568 | + | 0.998971i | \(0.485558\pi\) | |||||||
\(812\) | 61.2041 | − | 3.25207i | 2.14784 | − | 0.114125i | ||||
\(813\) | −1.99594 | − | 3.25708i | −0.0700008 | − | 0.114231i | ||||
\(814\) | −26.3167 | + | 14.3011i | −0.922399 | + | 0.501255i | ||||
\(815\) | −9.49977 | + | 4.84037i | −0.332762 | + | 0.169551i | ||||
\(816\) | −3.77936 | + | 3.41289i | −0.132304 | + | 0.119475i | ||||
\(817\) | −15.8412 | − | 6.56164i | −0.554213 | − | 0.229563i | ||||
\(818\) | −35.4994 | + | 43.8707i | −1.24121 | + | 1.53390i | ||||
\(819\) | 56.9680 | 1.99062 | ||||||||
\(820\) | −9.20672 | + | 4.26612i | −0.321513 | + | 0.148979i | ||||
\(821\) | 3.69779 | 0.129054 | 0.0645269 | − | 0.997916i | \(-0.479446\pi\) | ||||
0.0645269 | + | 0.997916i | \(0.479446\pi\) | |||||||
\(822\) | −3.70175 | + | 4.57467i | −0.129113 | + | 0.159560i | ||||
\(823\) | −26.4320 | − | 10.9485i | −0.921361 | − | 0.381640i | −0.128966 | − | 0.991649i | \(-0.541166\pi\) |
−0.792395 | + | 0.610009i | \(0.791166\pi\) | |||||||
\(824\) | −1.34473 | + | 4.15403i | −0.0468460 | + | 0.144713i | ||||
\(825\) | 4.01991 | − | 2.04825i | 0.139955 | − | 0.0713108i | ||||
\(826\) | 21.2803 | − | 11.5642i | 0.740435 | − | 0.402371i | ||||
\(827\) | −22.2130 | − | 36.2484i | −0.772423 | − | 1.26048i | −0.960487 | − | 0.278324i | \(-0.910221\pi\) |
0.188064 | − | 0.982157i | \(-0.439779\pi\) | |||||||
\(828\) | −2.45356 | − | 46.1761i | −0.0852671 | − | 1.60473i | ||||
\(829\) | 11.3356 | + | 11.3356i | 0.393703 | + | 0.393703i | 0.876005 | − | 0.482302i | \(-0.160199\pi\) |
−0.482302 | + | 0.876005i | \(0.660199\pi\) | |||||||
\(830\) | 1.16743 | − | 5.50213i | 0.0405221 | − | 0.190982i | ||||
\(831\) | 11.1037 | + | 0.873881i | 0.385183 | + | 0.0303146i | ||||
\(832\) | −23.4183 | + | 27.5404i | −0.811883 | + | 0.954791i | ||||
\(833\) | −10.3573 | − | 43.1415i | −0.358861 | − | 1.49476i | ||||
\(834\) | 5.04326 | + | 0.662098i | 0.174634 | + | 0.0229266i | ||||
\(835\) | −0.0363707 | + | 0.00286243i | −0.00125866 | + | 9.90586e-5i | ||||
\(836\) | 2.83635 | − | 27.1756i | 0.0980974 | − | 0.939889i | ||||
\(837\) | 0.664103 | − | 0.567197i | 0.0229547 | − | 0.0196052i | ||||
\(838\) | 25.5160 | − | 2.69119i | 0.881434 | − | 0.0929655i | ||||
\(839\) | 45.2802 | + | 10.8708i | 1.56325 | + | 0.375302i | 0.920489 | − | 0.390768i | \(-0.127791\pi\) |
0.642757 | + | 0.766070i | \(0.277791\pi\) | |||||||
\(840\) | −3.39223 | + | 0.541059i | −0.117043 | + | 0.0186683i | ||||
\(841\) | 3.11784 | + | 19.6852i | 0.107512 | + | 0.678801i | ||||
\(842\) | 20.0705 | − | 21.1653i | 0.691675 | − | 0.729403i | ||||
\(843\) | −2.17446 | + | 1.57984i | −0.0748925 | + | 0.0544126i | ||||
\(844\) | −42.0877 | − | 14.8697i | −1.44872 | − | 0.511837i | ||||
\(845\) | 3.45582 | − | 4.75652i | 0.118884 | − | 0.163629i | ||||
\(846\) | −28.7181 | − | 13.6850i | −0.987347 | − | 0.470501i | ||||
\(847\) | 3.85770 | + | 9.31332i | 0.132552 | + | 0.320010i | ||||
\(848\) | 2.80559 | − | 9.52220i | 0.0963444 | − | 0.326994i | ||||
\(849\) | −1.95689 | − | 1.67134i | −0.0671603 | − | 0.0573603i | ||||
\(850\) | −12.7368 | + | 18.5466i | −0.436869 | + | 0.636143i | ||||
\(851\) | −17.8287 | − | 54.8712i | −0.611161 | − | 1.88096i | ||||
\(852\) | 0.958759 | + | 0.256154i | 0.0328465 | + | 0.00877568i | ||||
\(853\) | 40.6461 | + | 20.7102i | 1.39170 | + | 0.709104i | 0.979397 | − | 0.201945i | \(-0.0647261\pi\) |
0.412298 | + | 0.911049i | \(0.364726\pi\) | |||||||
\(854\) | 2.06273 | + | 77.6961i | 0.0705852 | + | 2.65871i | ||||
\(855\) | −9.00497 | − | 5.51826i | −0.307964 | − | 0.188720i | ||||
\(856\) | −2.18913 | + | 1.11842i | −0.0748230 | + | 0.0382268i | ||||
\(857\) | −2.45010 | + | 7.54062i | −0.0836937 | + | 0.257583i | −0.984143 | − | 0.177379i | \(-0.943238\pi\) |
0.900449 | + | 0.434962i | \(0.143238\pi\) | |||||||
\(858\) | 5.23032 | − | 4.01638i | 0.178560 | − | 0.137117i | ||||
\(859\) | 5.08378 | − | 32.0977i | 0.173456 | − | 1.09516i | −0.735272 | − | 0.677773i | \(-0.762945\pi\) |
0.908728 | − | 0.417389i | \(-0.137055\pi\) | |||||||
\(860\) | −2.93677 | − | 5.07812i | −0.100143 | − | 0.173163i | ||||
\(861\) | 9.77441 | + | 0.886096i | 0.333111 | + | 0.0301981i | ||||
\(862\) | 7.32697 | + | 4.22669i | 0.249557 | + | 0.143961i | ||||
\(863\) | 3.62073 | + | 0.573467i | 0.123251 | + | 0.0195210i | 0.217755 | − | 0.976003i | \(-0.430127\pi\) |
−0.0945042 | + | 0.995524i | \(0.530127\pi\) | |||||||
\(864\) | 1.53927 | + | 11.5303i | 0.0523669 | + | 0.392270i | ||||
\(865\) | −1.94160 | − | 0.630865i | −0.0660164 | − | 0.0214500i | ||||
\(866\) | −2.93095 | + | 56.3164i | −0.0995976 | + | 1.91371i | ||||
\(867\) | 0.687286 | − | 1.12155i | 0.0233414 | − | 0.0380898i | ||||
\(868\) | −3.27159 | − | 1.77326i | −0.111045 | − | 0.0601882i | ||||
\(869\) | −11.3600 | + | 22.2952i | −0.385361 | + | 0.756314i | ||||
\(870\) | −0.710742 | − | 2.64868i | −0.0240964 | − | 0.0897988i | ||||
\(871\) | −28.2785 | + | 9.18823i | −0.958179 | + | 0.311331i | ||||
\(872\) | 2.48598 | − | 32.0327i | 0.0841859 | − | 1.08477i | ||||
\(873\) | 3.74816 | − | 4.38853i | 0.126856 | − | 0.148529i | ||||
\(874\) | 50.4703 | + | 14.9301i | 1.70718 | + | 0.505018i | ||||
\(875\) | −30.0572 | + | 12.4501i | −1.01612 | + | 0.420890i | ||||
\(876\) | −1.17167 | − | 1.70214i | −0.0395870 | − | 0.0575100i | ||||
\(877\) | 24.1992 | + | 17.5818i | 0.817149 | + | 0.593694i | 0.915894 | − | 0.401419i | \(-0.131483\pi\) |
−0.0987454 | + | 0.995113i | \(0.531483\pi\) | |||||||
\(878\) | 24.1549 | − | 4.48590i | 0.815188 | − | 0.151392i | ||||
\(879\) | −4.21158 | − | 5.79675i | −0.142053 | − | 0.195519i | ||||
\(880\) | 6.42483 | − | 6.79005i | 0.216581 | − | 0.228893i | ||||
\(881\) | −39.6855 | + | 6.28556i | −1.33704 | + | 0.211766i | −0.783673 | − | 0.621173i | \(-0.786656\pi\) |
−0.553364 | + | 0.832939i | \(0.686656\pi\) | |||||||
\(882\) | −46.3308 | − | 17.7655i | −1.56004 | − | 0.598195i | ||||
\(883\) | −2.80040 | + | 11.6645i | −0.0942408 | + | 0.392541i | −0.999476 | − | 0.0323697i | \(-0.989695\pi\) |
0.905235 | + | 0.424911i | \(0.139695\pi\) | |||||||
\(884\) | −13.3541 | + | 30.0524i | −0.449147 | + | 1.01077i | ||||
\(885\) | −0.703792 | − | 0.824034i | −0.0236577 | − | 0.0276996i | ||||
\(886\) | 44.9754 | − | 20.0439i | 1.51098 | − | 0.673387i | ||||
\(887\) | −0.739603 | − | 9.39754i | −0.0248334 | − | 0.315539i | −0.996771 | − | 0.0802990i | \(-0.974412\pi\) |
0.971937 | − | 0.235240i | \(-0.0755875\pi\) | |||||||
\(888\) | 2.72643 | + | 6.56200i | 0.0914932 | + | 0.220206i | ||||
\(889\) | −74.3159 | + | 17.8417i | −2.49247 | + | 0.598390i | ||||
\(890\) | −6.58773 | + | 2.33552i | −0.220821 | + | 0.0782870i | ||||
\(891\) | −1.83120 | + | 23.2676i | −0.0613476 | + | 0.779495i | ||||
\(892\) | 17.7529 | − | 19.7454i | 0.594412 | − | 0.661125i | ||||
\(893\) | 25.6035 | − | 25.6035i | 0.856790 | − | 0.856790i | ||||
\(894\) | −1.97666 | − | 3.04137i | −0.0661093 | − | 0.101719i | ||||
\(895\) | −3.35940 | + | 2.05864i | −0.112292 | + | 0.0688129i | ||||
\(896\) | 43.4986 | − | 23.7610i | 1.45319 | − | 0.793798i | ||||
\(897\) | 5.76700 | + | 11.3184i | 0.192554 | + | 0.377909i | ||||
\(898\) | −15.8124 | − | 17.5486i | −0.527666 | − | 0.585605i | ||||
\(899\) | 1.13689 | − | 2.74468i | 0.0379172 | − | 0.0915403i | ||||
\(900\) | 9.03453 | + | 23.4848i | 0.301151 | + | 0.782828i | ||||
\(901\) | − | 9.03034i | − | 0.300844i | ||||||
\(902\) | −22.5651 | + | 14.2876i | −0.751335 | + | 0.475724i | ||||
\(903\) | 5.67389i | 0.188815i | ||||||||
\(904\) | 0.698439 | − | 4.44102i | 0.0232297 | − | 0.147706i | ||||
\(905\) | 0.609229 | − | 1.47081i | 0.0202515 | − | 0.0488914i | ||||
\(906\) | 5.03510 | − | 4.53693i | 0.167280 | − | 0.150729i | ||||
\(907\) | −6.54641 | − | 12.8480i | −0.217370 | − | 0.426612i | 0.756412 | − | 0.654095i | \(-0.226950\pi\) |
−0.973782 | + | 0.227483i | \(0.926950\pi\) | |||||||
\(908\) | 7.63761 | + | 0.194456i | 0.253463 | + | 0.00645326i | ||||
\(909\) | −39.7651 | + | 24.3681i | −1.31892 | + | 0.808238i | ||||
\(910\) | −18.6005 | + | 12.0889i | −0.616602 | + | 0.400744i | ||||
\(911\) | −18.4932 | + | 18.4932i | −0.612708 | + | 0.612708i | −0.943651 | − | 0.330943i | \(-0.892633\pi\) |
0.330943 | + | 0.943651i | \(0.392633\pi\) | |||||||
\(912\) | −6.34263 | − | 1.33856i | −0.210025 | − | 0.0443240i | ||||
\(913\) | 1.16155 | − | 14.7588i | 0.0384415 | − | 0.488446i | ||||
\(914\) | 4.39651 | + | 12.4011i | 0.145424 | + | 0.410191i | ||||
\(915\) | 3.38158 | − | 0.811845i | 0.111792 | − | 0.0268388i | ||||
\(916\) | 10.8157 | − | 14.1164i | 0.357359 | − | 0.466419i | ||||
\(917\) | −2.86828 | − | 36.4449i | −0.0947188 | − | 1.20352i | ||||
\(918\) | 4.30759 | + | 9.66558i | 0.142172 | + | 0.319012i | ||||
\(919\) | 15.0766 | + | 17.6524i | 0.497330 | + | 0.582299i | 0.951125 | − | 0.308808i | \(-0.0999299\pi\) |
−0.453794 | + | 0.891106i | \(0.649930\pi\) | |||||||
\(920\) | 10.5999 | + | 14.5562i | 0.349469 | + | 0.479904i | ||||
\(921\) | 2.50656 | − | 10.4406i | 0.0825940 | − | 0.344029i | ||||
\(922\) | 5.45817 | − | 14.2344i | 0.179755 | − | 0.468786i | ||||
\(923\) | 6.32990 | − | 1.00256i | 0.208351 | − | 0.0329996i | ||||
\(924\) | −8.66731 | + | 2.57421i | −0.285134 | + | 0.0846853i | ||||
\(925\) | 18.4537 | + | 25.3994i | 0.606755 | + | 0.835127i | ||||
\(926\) | 1.38893 | + | 7.47888i | 0.0456432 | + | 0.245771i | ||||
\(927\) | 3.59379 | + | 2.61104i | 0.118035 | + | 0.0857578i | ||||
\(928\) | 22.4717 | + | 32.5699i | 0.737671 | + | 1.06916i | ||||
\(929\) | 20.7739 | − | 8.60482i | 0.681568 | − | 0.282315i | −0.0149140 | − | 0.999889i | \(-0.504747\pi\) |
0.696482 | + | 0.717574i | \(0.254747\pi\) | |||||||
\(930\) | −0.0472318 | + | 0.159665i | −0.00154879 | + | 0.00523561i | ||||
\(931\) | 36.6797 | − | 42.9464i | 1.20213 | − | 1.40751i | ||||
\(932\) | 12.7048 | + | 26.5866i | 0.416161 | + | 0.870874i | ||||
\(933\) | 2.90155 | − | 0.942770i | 0.0949924 | − | 0.0308649i | ||||
\(934\) | −21.7012 | + | 5.82325i | −0.710084 | + | 0.190542i | ||||
\(935\) | 3.86056 | − | 7.57678i | 0.126254 | − | 0.247787i | ||||
\(936\) | 19.2512 | + | 31.3386i | 0.629246 | + | 1.02433i | ||||
\(937\) | −9.18474 | + | 14.9881i | −0.300052 | + | 0.489641i | −0.966762 | − | 0.255676i | \(-0.917702\pi\) |
0.666710 | + | 0.745317i | \(0.267702\pi\) | |||||||
\(938\) | 40.7118 | + | 2.11882i | 1.32929 | + | 0.0691818i | ||||
\(939\) | 9.07949 | + | 2.95011i | 0.296298 | + | 0.0962731i | ||||
\(940\) | 12.2807 | − | 1.62585i | 0.400553 | − | 0.0530293i | ||||
\(941\) | −52.3912 | − | 8.29795i | −1.70790 | − | 0.270505i | −0.775349 | − | 0.631533i | \(-0.782426\pi\) |
−0.932555 | + | 0.361028i | \(0.882426\pi\) | |||||||
\(942\) | 1.45667 | − | 2.52513i | 0.0474608 | − | 0.0822733i | ||||
\(943\) | −19.1225 | − | 47.7613i | −0.622716 | − | 1.55532i | ||||
\(944\) | 13.5528 | + | 7.79855i | 0.441107 | + | 0.253821i | ||||
\(945\) | −1.11668 | + | 7.05042i | −0.0363255 | + | 0.229350i | ||||
\(946\) | −9.40387 | − | 12.2462i | −0.305746 | − | 0.398157i | ||||
\(947\) | 7.94924 | − | 24.4652i | 0.258316 | − | 0.795014i | −0.734843 | − | 0.678238i | \(-0.762744\pi\) |
0.993158 | − | 0.116776i | \(-0.0372560\pi\) | |||||||
\(948\) | 4.98111 | + | 3.22964i | 0.161779 | + | 0.104894i | ||||
\(949\) | −11.3784 | − | 6.97267i | −0.369357 | − | 0.226343i | ||||
\(950\) | −28.6304 | + | 0.760099i | −0.928892 | + | 0.0246609i | ||||
\(951\) | 1.79489 | + | 0.914544i | 0.0582034 | + | 0.0296561i | ||||
\(952\) | 31.8478 | − | 31.9171i | 1.03219 | − | 1.03444i | ||||
\(953\) | −9.60517 | − | 29.5617i | −0.311142 | − | 0.957596i | −0.977314 | − | 0.211798i | \(-0.932068\pi\) |
0.666172 | − | 0.745798i | \(-0.267932\pi\) | |||||||
\(954\) | −8.32531 | − | 5.71739i | −0.269542 | − | 0.185107i | ||||
\(955\) | −4.77363 | − | 4.07706i | −0.154471 | − | 0.131931i | ||||
\(956\) | 39.6655 | + | 41.7380i | 1.28287 | + | 1.34990i | ||||
\(957\) | −2.76228 | − | 6.66874i | −0.0892919 | − | 0.215570i | ||||
\(958\) | −24.1780 | + | 50.7376i | −0.781157 | + | 1.63926i | ||||
\(959\) | 30.6268 | − | 42.1542i | 0.988992 | − | 1.36123i | ||||
\(960\) | −1.44398 | − | 1.68326i | −0.0466043 | − | 0.0543269i | ||||
\(961\) | 24.9336 | − | 18.1153i | 0.804310 | − | 0.584365i | ||||
\(962\) | 33.2985 | + | 31.5761i | 1.07359 | + | 1.01806i | ||||
\(963\) | 0.391245 | + | 2.47022i | 0.0126077 | + | 0.0796018i | ||||
\(964\) | −23.9884 | + | 19.4542i | −0.772614 | + | 0.626578i | ||||
\(965\) | 6.35516 | + | 1.52574i | 0.204580 | + | 0.0491153i | ||||
\(966\) | −1.82680 | − | 17.3204i | −0.0587763 | − | 0.557276i | ||||
\(967\) | −11.0312 | + | 9.42156i | −0.354741 | + | 0.302977i | −0.808903 | − | 0.587942i | \(-0.799938\pi\) |
0.454163 | + | 0.890919i | \(0.349938\pi\) | |||||||
\(968\) | −3.81970 | + | 5.26941i | −0.122770 | + | 0.169365i | ||||
\(969\) | −5.87868 | + | 0.462662i | −0.188851 | + | 0.0148629i | ||||
\(970\) | −0.292536 | + | 2.22827i | −0.00939277 | + | 0.0715456i | ||||
\(971\) | 5.94357 | + | 24.7568i | 0.190738 | + | 0.794482i | 0.982895 | + | 0.184165i | \(0.0589581\pi\) |
−0.792157 | + | 0.610317i | \(0.791042\pi\) | |||||||
\(972\) | 17.5785 | + | 3.24481i | 0.563832 | + | 0.104077i | ||||
\(973\) | −44.8989 | − | 3.53362i | −1.43939 | − | 0.113283i | ||||
\(974\) | −27.6989 | − | 5.87710i | −0.887531 | − | 0.188314i | ||||
\(975\) | −4.88782 | − | 4.88782i | −0.156536 | − | 0.156536i | ||||
\(976\) | −42.0442 | + | 27.3906i | −1.34580 | + | 0.876752i | ||||
\(977\) | 11.5290 | + | 18.8137i | 0.368847 | + | 0.601903i | 0.982185 | − | 0.187917i | \(-0.0601737\pi\) |
−0.613338 | + | 0.789820i | \(0.710174\pi\) | |||||||
\(978\) | 3.17895 | + | 5.84984i | 0.101652 | + | 0.187057i | ||||
\(979\) | −16.3918 | + | 8.35202i | −0.523883 | + | 0.266932i | ||||
\(980\) | 18.8973 | − | 4.03108i | 0.603654 | − | 0.128768i | ||||
\(981\) | −30.1993 | − | 12.5090i | −0.964191 | − | 0.399381i | ||||
\(982\) | −23.5293 | − | 19.0395i | −0.750850 | − | 0.607576i | ||||
\(983\) | 9.12057 | 0.290901 | 0.145450 | − | 0.989366i | \(-0.453537\pi\) | ||||
0.145450 | + | 0.989366i | \(0.453537\pi\) | |||||||
\(984\) | 2.81562 | + | 5.67643i | 0.0897588 | + | 0.180958i | ||||
\(985\) | 5.01988 | 0.159947 | ||||||||
\(986\) | 27.9824 | + | 22.6429i | 0.891141 | + | 0.721097i | ||||
\(987\) | −11.0698 | − | 4.58525i | −0.352355 | − | 0.145950i | ||||
\(988\) | −40.9416 | + | 8.73343i | −1.30252 | + | 0.277847i | ||||
\(989\) | 26.5006 | − | 13.5027i | 0.842670 | − | 0.429362i | ||||
\(990\) | −4.54100 | − | 8.35625i | −0.144322 | − | 0.265579i | ||||
\(991\) | 28.7489 | + | 46.9139i | 0.913238 | + | 1.49027i | 0.871070 | + | 0.491159i | \(0.163427\pi\) |
0.0421686 | + | 0.999111i | \(0.486573\pi\) | |||||||
\(992\) | −0.130085 | − | 2.39897i | −0.00413021 | − | 0.0761672i | ||||
\(993\) | −5.42735 | − | 5.42735i | −0.172232 | − | 0.172232i | ||||
\(994\) | −8.59554 | − | 1.82378i | −0.272634 | − | 0.0578468i | ||||
\(995\) | 13.6840 | + | 1.07695i | 0.433812 | + | 0.0341417i | ||||
\(996\) | −3.45395 | − | 0.637562i | −0.109443 | − | 0.0202019i | ||||
\(997\) | −2.19554 | − | 9.14509i | −0.0695335 | − | 0.289628i | 0.926759 | − | 0.375656i | \(-0.122583\pi\) |
−0.996293 | + | 0.0860280i | \(0.972583\pi\) | |||||||
\(998\) | −1.77524 | + | 13.5221i | −0.0561942 | + | 0.428036i | ||||
\(999\) | 14.7208 | − | 1.15855i | 0.465745 | − | 0.0366549i |
(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 | 164.2.o.b.111.4 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.111.16 | yes | 288 | |
41.17 | odd | 40 | inner | 164.2.o.b.99.16 | yes | 288 | |
164.99 | even | 40 | inner | 164.2.o.b.99.4 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.99.4 | ✓ | 288 | 164.99 | even | 40 | inner | |
164.2.o.b.99.16 | yes | 288 | 41.17 | odd | 40 | inner | |
164.2.o.b.111.4 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.111.16 | yes | 288 | 4.3 | odd | 2 | inner |