Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 4.11 | ||
Character | \(\chi\) | \(=\) | 441.4 |
Dual form | 441.2.z.a.331.11 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.132809 | + | 1.77221i | −0.0939101 | + | 1.25314i | 0.728818 | + | 0.684708i | \(0.240070\pi\) |
−0.822728 | + | 0.568435i | \(0.807549\pi\) | |||||||
\(3\) | 1.41906 | − | 0.993117i | 0.819292 | − | 0.573377i | ||||
\(4\) | −1.14543 | − | 0.172646i | −0.572717 | − | 0.0863232i | ||||
\(5\) | −0.788881 | + | 3.45631i | −0.352798 | + | 1.54571i | 0.417889 | + | 0.908498i | \(0.362770\pi\) |
−0.770688 | + | 0.637213i | \(0.780087\pi\) | |||||||
\(6\) | 1.57155 | + | 2.64676i | 0.641583 | + | 1.08054i | ||||
\(7\) | 2.57823 | − | 0.593925i | 0.974478 | − | 0.224483i | ||||
\(8\) | −0.332830 | + | 1.45822i | −0.117673 | + | 0.515560i | ||||
\(9\) | 1.02744 | − | 2.81858i | 0.342479 | − | 0.939526i | ||||
\(10\) | −6.02055 | − | 1.85709i | −1.90386 | − | 0.587265i | ||||
\(11\) | 1.33579 | − | 0.643285i | 0.402757 | − | 0.193958i | −0.221528 | − | 0.975154i | \(-0.571105\pi\) |
0.624285 | + | 0.781196i | \(0.285390\pi\) | |||||||
\(12\) | −1.79689 | + | 0.892556i | −0.518718 | + | 0.257659i | ||||
\(13\) | −0.172992 | + | 2.30842i | −0.0479794 | + | 0.640241i | 0.920435 | + | 0.390895i | \(0.127835\pi\) |
−0.968415 | + | 0.249346i | \(0.919785\pi\) | |||||||
\(14\) | 0.710149 | + | 4.64804i | 0.189795 | + | 1.24224i | ||||
\(15\) | 2.31306 | + | 5.68815i | 0.597229 | + | 1.46867i | ||||
\(16\) | −4.75390 | − | 1.46638i | −1.18847 | − | 0.366596i | ||||
\(17\) | 0.421630 | − | 0.0635504i | 0.102260 | − | 0.0154132i | −0.0977128 | − | 0.995215i | \(-0.531153\pi\) |
0.199973 | + | 0.979801i | \(0.435915\pi\) | |||||||
\(18\) | 4.85866 | + | 2.19517i | 1.14520 | + | 0.517405i | ||||
\(19\) | −2.91097 | − | 5.04194i | −0.667821 | − | 1.15670i | −0.978512 | − | 0.206189i | \(-0.933894\pi\) |
0.310691 | − | 0.950511i | \(-0.399440\pi\) | |||||||
\(20\) | 1.50033 | − | 3.82278i | 0.335484 | − | 0.854800i | ||||
\(21\) | 3.06881 | − | 3.40329i | 0.669669 | − | 0.742660i | ||||
\(22\) | 0.962631 | + | 2.45274i | 0.205234 | + | 0.522927i | ||||
\(23\) | 1.15315 | − | 1.44601i | 0.240449 | − | 0.301513i | −0.646935 | − | 0.762546i | \(-0.723949\pi\) |
0.887383 | + | 0.461032i | \(0.152521\pi\) | |||||||
\(24\) | 0.975883 | + | 2.39984i | 0.199201 | + | 0.489865i | ||||
\(25\) | −6.81893 | − | 3.28382i | −1.36379 | − | 0.656765i | ||||
\(26\) | −4.06804 | − | 0.613158i | −0.797807 | − | 0.120250i | ||||
\(27\) | −1.34119 | − | 5.02008i | −0.258112 | − | 0.966115i | ||||
\(28\) | −3.05573 | + | 0.235180i | −0.577478 | + | 0.0444449i | ||||
\(29\) | −3.05029 | + | 7.77201i | −0.566424 | + | 1.44323i | 0.304836 | + | 0.952405i | \(0.401398\pi\) |
−0.871261 | + | 0.490821i | \(0.836697\pi\) | |||||||
\(30\) | −10.3878 | + | 3.34379i | −1.89654 | + | 0.610490i | ||||
\(31\) | 3.82249 | + | 6.62074i | 0.686539 | + | 1.18912i | 0.972951 | + | 0.231014i | \(0.0742042\pi\) |
−0.286412 | + | 0.958107i | \(0.592462\pi\) | |||||||
\(32\) | 2.13720 | − | 5.44550i | 0.377807 | − | 0.962637i | ||||
\(33\) | 1.25671 | − | 2.23946i | 0.218765 | − | 0.389839i | ||||
\(34\) | 0.0566287 | + | 0.755657i | 0.00971174 | + | 0.129594i | ||||
\(35\) | 0.0188767 | + | 9.37970i | 0.00319074 | + | 1.58546i | ||||
\(36\) | −1.66348 | + | 3.05111i | −0.277246 | + | 0.508518i | ||||
\(37\) | −1.11492 | + | 2.84076i | −0.183291 | + | 0.467018i | −0.992756 | − | 0.120150i | \(-0.961662\pi\) |
0.809464 | + | 0.587169i | \(0.199758\pi\) | |||||||
\(38\) | 9.32199 | − | 4.48923i | 1.51223 | − | 0.728250i | ||||
\(39\) | 2.04705 | + | 3.44758i | 0.327790 | + | 0.552054i | ||||
\(40\) | −4.77752 | − | 2.30073i | −0.755392 | − | 0.363778i | ||||
\(41\) | −1.79590 | − | 1.66635i | −0.280473 | − | 0.260241i | 0.527374 | − | 0.849633i | \(-0.323177\pi\) |
−0.807847 | + | 0.589392i | \(0.799367\pi\) | |||||||
\(42\) | 5.62379 | + | 5.89057i | 0.867770 | + | 0.908934i | ||||
\(43\) | 8.01694 | − | 7.43863i | 1.22257 | − | 1.13438i | 0.235879 | − | 0.971782i | \(-0.424203\pi\) |
0.986692 | − | 0.162598i | \(-0.0519875\pi\) | |||||||
\(44\) | −1.64112 | + | 0.506220i | −0.247409 | + | 0.0763155i | ||||
\(45\) | 8.93136 | + | 5.77466i | 1.33141 | + | 0.860836i | ||||
\(46\) | 2.40948 | + | 2.23567i | 0.355259 | + | 0.329632i | ||||
\(47\) | −0.218989 | + | 2.92221i | −0.0319429 | + | 0.426248i | 0.958192 | + | 0.286127i | \(0.0923681\pi\) |
−0.990134 | + | 0.140121i | \(0.955251\pi\) | |||||||
\(48\) | −8.20233 | + | 2.64030i | −1.18390 | + | 0.381094i | ||||
\(49\) | 6.29451 | − | 3.06255i | 0.899215 | − | 0.437507i | ||||
\(50\) | 6.72524 | − | 11.6485i | 0.951093 | − | 1.64734i | ||||
\(51\) | 0.535203 | − | 0.508909i | 0.0749434 | − | 0.0712616i | ||||
\(52\) | 0.596692 | − | 2.61428i | 0.0827462 | − | 0.362535i | ||||
\(53\) | −3.69994 | − | 9.42729i | −0.508226 | − | 1.29494i | −0.922925 | − | 0.384980i | \(-0.874208\pi\) |
0.414699 | − | 0.909959i | \(-0.363887\pi\) | |||||||
\(54\) | 9.07477 | − | 1.71016i | 1.23492 | − | 0.232723i | ||||
\(55\) | 1.16961 | + | 5.12440i | 0.157710 | + | 0.690974i | ||||
\(56\) | 0.00796409 | + | 3.95731i | 0.00106425 | + | 0.528818i | ||||
\(57\) | −9.13806 | − | 4.26386i | −1.21037 | − | 0.564762i | ||||
\(58\) | −13.3685 | − | 6.43795i | −1.75537 | − | 0.845344i | ||||
\(59\) | 1.66840 | − | 1.54805i | 0.217207 | − | 0.201538i | −0.564063 | − | 0.825732i | \(-0.690763\pi\) |
0.781270 | + | 0.624193i | \(0.214572\pi\) | |||||||
\(60\) | −1.66742 | − | 6.91474i | −0.215263 | − | 0.892690i | ||||
\(61\) | −5.36407 | + | 0.808503i | −0.686798 | + | 0.103518i | −0.483165 | − | 0.875529i | \(-0.660513\pi\) |
−0.203633 | + | 0.979047i | \(0.565275\pi\) | |||||||
\(62\) | −12.2410 | + | 5.89496i | −1.55461 | + | 0.748661i | ||||
\(63\) | 0.974939 | − | 7.87715i | 0.122831 | − | 0.992428i | ||||
\(64\) | 0.402244 | + | 0.193711i | 0.0502805 | + | 0.0242138i | ||||
\(65\) | −7.84216 | − | 2.41899i | −0.972700 | − | 0.300038i | ||||
\(66\) | 3.80189 | + | 2.52457i | 0.467980 | + | 0.310754i | ||||
\(67\) | −2.30338 | − | 3.98958i | −0.281403 | − | 0.487405i | 0.690327 | − | 0.723497i | \(-0.257466\pi\) |
−0.971731 | + | 0.236093i | \(0.924133\pi\) | |||||||
\(68\) | −0.493921 | −0.0598967 | ||||||||
\(69\) | 0.200332 | − | 3.19718i | 0.0241171 | − | 0.384895i | ||||
\(70\) | −16.6253 | − | 1.21225i | −1.98711 | − | 0.144892i | ||||
\(71\) | 9.09991 | − | 11.4109i | 1.07996 | − | 1.35423i | 0.149114 | − | 0.988820i | \(-0.452358\pi\) |
0.930847 | − | 0.365408i | \(-0.119071\pi\) | |||||||
\(72\) | 3.76816 | + | 2.43634i | 0.444081 | + | 0.287125i | ||||
\(73\) | 4.11216 | − | 2.80362i | 0.481291 | − | 0.328139i | −0.298252 | − | 0.954487i | \(-0.596404\pi\) |
0.779543 | + | 0.626348i | \(0.215451\pi\) | |||||||
\(74\) | −4.88636 | − | 2.35315i | −0.568028 | − | 0.273548i | ||||
\(75\) | −12.9377 | + | 2.11207i | −1.49391 | + | 0.243881i | ||||
\(76\) | 2.46385 | + | 6.27778i | 0.282623 | + | 0.720111i | ||||
\(77\) | 3.06192 | − | 2.45190i | 0.348938 | − | 0.279419i | ||||
\(78\) | −6.38170 | + | 3.16993i | −0.722586 | + | 0.358924i | ||||
\(79\) | 2.85886 | − | 4.95169i | 0.321647 | − | 0.557109i | −0.659181 | − | 0.751984i | \(-0.729097\pi\) |
0.980828 | + | 0.194875i | \(0.0624302\pi\) | |||||||
\(80\) | 8.81854 | − | 15.2742i | 0.985943 | − | 1.70770i | ||||
\(81\) | −6.88875 | − | 5.79181i | −0.765417 | − | 0.643535i | ||||
\(82\) | 3.19164 | − | 2.96141i | 0.352458 | − | 0.327033i | ||||
\(83\) | −0.721157 | − | 9.62317i | −0.0791573 | − | 1.05628i | −0.885441 | − | 0.464752i | \(-0.846144\pi\) |
0.806284 | − | 0.591529i | \(-0.201475\pi\) | |||||||
\(84\) | −4.10268 | + | 3.36843i | −0.447640 | + | 0.367526i | ||||
\(85\) | −0.112965 | + | 1.50742i | −0.0122528 | + | 0.163502i | ||||
\(86\) | 12.1181 | + | 15.1956i | 1.30673 | + | 1.63859i | ||||
\(87\) | 3.38999 | + | 14.0582i | 0.363445 | + | 1.50720i | ||||
\(88\) | 0.493461 | + | 2.16199i | 0.0526031 | + | 0.230469i | ||||
\(89\) | −0.179417 | − | 2.39415i | −0.0190182 | − | 0.253780i | −0.998607 | − | 0.0527673i | \(-0.983196\pi\) |
0.979589 | − | 0.201013i | \(-0.0644232\pi\) | |||||||
\(90\) | −11.4201 | + | 15.0613i | −1.20378 | + | 1.58760i | ||||
\(91\) | 0.925016 | + | 6.05438i | 0.0969680 | + | 0.634671i | ||||
\(92\) | −1.57051 | + | 1.45722i | −0.163737 | + | 0.151925i | ||||
\(93\) | 11.9995 | + | 5.59902i | 1.24429 | + | 0.580591i | ||||
\(94\) | −5.14969 | − | 0.776191i | −0.531150 | − | 0.0800580i | ||||
\(95\) | 19.7229 | − | 6.08372i | 2.02353 | − | 0.624177i | ||||
\(96\) | −2.37521 | − | 9.84996i | −0.242419 | − | 1.00531i | ||||
\(97\) | −2.09625 | − | 3.63080i | −0.212841 | − | 0.368652i | 0.739761 | − | 0.672869i | \(-0.234938\pi\) |
−0.952603 | + | 0.304217i | \(0.901605\pi\) | |||||||
\(98\) | 4.59151 | + | 11.5619i | 0.463813 | + | 1.16793i | ||||
\(99\) | −0.440704 | − | 4.42597i | −0.0442925 | − | 0.444827i | ||||
\(100\) | 7.24369 | + | 4.93867i | 0.724369 | + | 0.493867i | ||||
\(101\) | −2.88409 | + | 12.6360i | −0.286978 | + | 1.25733i | 0.601671 | + | 0.798744i | \(0.294502\pi\) |
−0.888649 | + | 0.458588i | \(0.848355\pi\) | |||||||
\(102\) | 0.830815 | + | 1.01608i | 0.0822630 | + | 0.100607i | ||||
\(103\) | −2.92118 | + | 12.7985i | −0.287832 | + | 1.26108i | 0.599661 | + | 0.800254i | \(0.295302\pi\) |
−0.887493 | + | 0.460821i | \(0.847555\pi\) | |||||||
\(104\) | −3.30862 | − | 1.02057i | −0.324437 | − | 0.100075i | ||||
\(105\) | 9.34193 | + | 13.2916i | 0.911679 | + | 1.29712i | ||||
\(106\) | 17.1985 | − | 5.30505i | 1.67047 | − | 0.515272i | ||||
\(107\) | −0.0776789 | − | 1.03655i | −0.00750951 | − | 0.100207i | 0.992190 | − | 0.124739i | \(-0.0398095\pi\) |
−0.999699 | + | 0.0245320i | \(0.992190\pi\) | |||||||
\(108\) | 0.669545 | + | 5.98172i | 0.0644270 | + | 0.575591i | ||||
\(109\) | 1.35858 | − | 18.1290i | 0.130128 | − | 1.73644i | −0.425455 | − | 0.904980i | \(-0.639886\pi\) |
0.555583 | − | 0.831461i | \(-0.312495\pi\) | |||||||
\(110\) | −9.23685 | + | 1.39223i | −0.880700 | + | 0.132744i | ||||
\(111\) | 1.23908 | + | 5.13844i | 0.117608 | + | 0.487719i | ||||
\(112\) | −13.1275 | − | 0.957210i | −1.24044 | − | 0.0904478i | ||||
\(113\) | 11.0537 | − | 7.53629i | 1.03985 | − | 0.708955i | 0.0821153 | − | 0.996623i | \(-0.473832\pi\) |
0.957730 | + | 0.287668i | \(0.0928800\pi\) | |||||||
\(114\) | 8.77008 | − | 15.6283i | 0.821393 | − | 1.46372i | ||||
\(115\) | 4.08815 | + | 5.12638i | 0.381222 | + | 0.478038i | ||||
\(116\) | 4.83571 | − | 8.37570i | 0.448985 | − | 0.777664i | ||||
\(117\) | 6.32872 | + | 2.85935i | 0.585091 | + | 0.264347i | ||||
\(118\) | 2.52189 | + | 3.16235i | 0.232159 | + | 0.291118i | ||||
\(119\) | 1.04931 | − | 0.414264i | 0.0961903 | − | 0.0379755i | ||||
\(120\) | −9.06446 | + | 1.47977i | −0.827468 | + | 0.135084i | ||||
\(121\) | −5.48786 | + | 6.88155i | −0.498896 | + | 0.625596i | ||||
\(122\) | −0.720442 | − | 9.61364i | −0.0652258 | − | 0.870378i | ||||
\(123\) | −4.20337 | − | 0.581107i | −0.379005 | − | 0.0523966i | ||||
\(124\) | −3.23536 | − | 8.24356i | −0.290544 | − | 0.740294i | ||||
\(125\) | 5.67727 | − | 7.11907i | 0.507791 | − | 0.636749i | ||||
\(126\) | 13.8305 | + | 2.77395i | 1.23212 | + | 0.247123i | ||||
\(127\) | 2.60677 | + | 3.26878i | 0.231313 | + | 0.290058i | 0.883919 | − | 0.467640i | \(-0.154896\pi\) |
−0.652606 | + | 0.757698i | \(0.726324\pi\) | |||||||
\(128\) | 5.45316 | − | 9.44515i | 0.481996 | − | 0.834841i | ||||
\(129\) | 3.98904 | − | 18.5176i | 0.351216 | − | 1.63038i | ||||
\(130\) | 5.32846 | − | 13.5767i | 0.467337 | − | 1.19076i | ||||
\(131\) | 1.47342 | + | 6.45546i | 0.128733 | + | 0.564017i | 0.997617 | + | 0.0690000i | \(0.0219809\pi\) |
−0.868884 | + | 0.495017i | \(0.835162\pi\) | |||||||
\(132\) | −1.82611 | + | 2.34818i | −0.158943 | + | 0.204383i | ||||
\(133\) | −10.4997 | − | 11.2704i | −0.910436 | − | 0.977265i | ||||
\(134\) | 7.37629 | − | 3.55223i | 0.637214 | − | 0.306866i | ||||
\(135\) | 18.4090 | − | 0.675326i | 1.58440 | − | 0.0581228i | ||||
\(136\) | −0.0476603 | + | 0.635982i | −0.00408683 | + | 0.0545350i | ||||
\(137\) | 2.78718 | + | 12.2114i | 0.238125 | + | 1.04329i | 0.942694 | + | 0.333658i | \(0.108283\pi\) |
−0.704569 | + | 0.709635i | \(0.748860\pi\) | |||||||
\(138\) | 5.63947 | + | 0.779644i | 0.480064 | + | 0.0663677i | ||||
\(139\) | 10.8927 | + | 10.1070i | 0.923909 | + | 0.857262i | 0.990074 | − | 0.140546i | \(-0.0448859\pi\) |
−0.0661650 | + | 0.997809i | \(0.521076\pi\) | |||||||
\(140\) | 1.59775 | − | 10.7471i | 0.135034 | − | 0.908294i | ||||
\(141\) | 2.59134 | + | 4.36426i | 0.218230 | + | 0.367537i | ||||
\(142\) | 19.0140 | + | 17.6424i | 1.59562 | + | 1.48052i | ||||
\(143\) | 1.25389 | + | 3.19486i | 0.104856 | + | 0.267167i | ||||
\(144\) | −9.01744 | + | 11.8926i | −0.751453 | + | 0.991051i | ||||
\(145\) | −24.4562 | − | 16.6739i | −2.03098 | − | 1.38470i | ||||
\(146\) | 4.42248 | + | 7.65995i | 0.366007 | + | 0.633942i | ||||
\(147\) | 5.89078 | − | 10.5971i | 0.485864 | − | 0.874035i | ||||
\(148\) | 1.76751 | − | 3.06142i | 0.145288 | − | 0.251647i | ||||
\(149\) | −13.0229 | + | 6.27149i | −1.06688 | + | 0.513781i | −0.883099 | − | 0.469187i | \(-0.844547\pi\) |
−0.183778 | + | 0.982968i | \(0.558833\pi\) | |||||||
\(150\) | −2.02480 | − | 23.2088i | −0.165324 | − | 1.89499i | ||||
\(151\) | 2.55870 | − | 3.20850i | 0.208224 | − | 0.261104i | −0.666743 | − | 0.745288i | \(-0.732312\pi\) |
0.874966 | + | 0.484184i | \(0.160883\pi\) | |||||||
\(152\) | 8.32114 | − | 2.56673i | 0.674933 | − | 0.208189i | ||||
\(153\) | 0.254076 | − | 1.25369i | 0.0205408 | − | 0.101355i | ||||
\(154\) | 3.93863 | + | 5.75200i | 0.317384 | + | 0.463509i | ||||
\(155\) | −25.8989 | + | 7.98874i | −2.08025 | + | 0.641671i | ||||
\(156\) | −1.74955 | − | 4.30239i | −0.140076 | − | 0.344467i | ||||
\(157\) | −17.6455 | + | 16.3726i | −1.40826 | + | 1.30668i | −0.514969 | + | 0.857209i | \(0.672196\pi\) |
−0.893296 | + | 0.449469i | \(0.851613\pi\) | |||||||
\(158\) | 8.39576 | + | 5.72413i | 0.667931 | + | 0.455388i | ||||
\(159\) | −14.6128 | − | 9.70338i | −1.15887 | − | 0.769528i | ||||
\(160\) | 17.1354 | + | 11.6827i | 1.35467 | + | 0.923598i | ||||
\(161\) | 2.11427 | − | 4.41302i | 0.166628 | − | 0.347795i | ||||
\(162\) | 11.1792 | − | 11.4391i | 0.878321 | − | 0.898742i | ||||
\(163\) | 15.7554 | − | 14.6189i | 1.23406 | − | 1.14504i | 0.249799 | − | 0.968298i | \(-0.419635\pi\) |
0.984258 | − | 0.176740i | \(-0.0565551\pi\) | |||||||
\(164\) | 1.76940 | + | 2.21875i | 0.138167 | + | 0.173256i | ||||
\(165\) | 6.74887 | + | 6.11025i | 0.525399 | + | 0.475682i | ||||
\(166\) | 17.1501 | 1.33110 | ||||||||
\(167\) | −7.79189 | + | 1.17444i | −0.602954 | + | 0.0908808i | −0.443424 | − | 0.896312i | \(-0.646236\pi\) |
−0.159531 | + | 0.987193i | \(0.550998\pi\) | |||||||
\(168\) | 3.94137 | + | 5.60773i | 0.304084 | + | 0.432646i | ||||
\(169\) | 7.55592 | + | 1.13887i | 0.581225 | + | 0.0876055i | ||||
\(170\) | −2.65646 | − | 0.400397i | −0.203741 | − | 0.0307091i | ||||
\(171\) | −17.2019 | + | 3.02451i | −1.31546 | + | 0.231290i | ||||
\(172\) | −10.4671 | + | 7.13637i | −0.798111 | + | 0.544143i | ||||
\(173\) | −2.59527 | − | 6.61263i | −0.197314 | − | 0.502749i | 0.797633 | − | 0.603143i | \(-0.206085\pi\) |
−0.994948 | + | 0.100394i | \(0.967990\pi\) | |||||||
\(174\) | −25.3643 | + | 4.14072i | −1.92286 | + | 0.313907i | ||||
\(175\) | −19.5311 | − | 4.41651i | −1.47641 | − | 0.333857i | ||||
\(176\) | −7.29353 | + | 1.09932i | −0.549770 | + | 0.0828646i | ||||
\(177\) | 0.830156 | − | 3.85368i | 0.0623983 | − | 0.289660i | ||||
\(178\) | 4.26678 | 0.319808 | ||||||||
\(179\) | −18.8145 | + | 2.83584i | −1.40626 | + | 0.211960i | −0.807926 | − | 0.589283i | \(-0.799410\pi\) |
−0.598338 | + | 0.801244i | \(0.704172\pi\) | |||||||
\(180\) | −9.23331 | − | 8.15646i | −0.688210 | − | 0.607947i | ||||
\(181\) | 7.07131 | + | 3.40536i | 0.525606 | + | 0.253119i | 0.677819 | − | 0.735229i | \(-0.262926\pi\) |
−0.152212 | + | 0.988348i | \(0.548640\pi\) | |||||||
\(182\) | −10.8525 | + | 0.835248i | −0.804440 | + | 0.0619127i | ||||
\(183\) | −6.80897 | + | 6.47446i | −0.503333 | + | 0.478606i | ||||
\(184\) | 1.72480 | + | 2.16283i | 0.127154 | + | 0.159446i | ||||
\(185\) | −8.93903 | − | 6.09453i | −0.657210 | − | 0.448078i | ||||
\(186\) | −11.5163 | + | 20.5220i | −0.844415 | + | 1.50475i | ||||
\(187\) | 0.522329 | − | 0.356118i | 0.0381965 | − | 0.0260419i | ||||
\(188\) | 0.755347 | − | 3.30939i | 0.0550893 | − | 0.241362i | ||||
\(189\) | −6.43944 | − | 12.1463i | −0.468400 | − | 0.883516i | ||||
\(190\) | 8.16226 | + | 35.7612i | 0.592152 | + | 2.59439i | ||||
\(191\) | −12.2124 | − | 11.3314i | −0.883655 | − | 0.819912i | 0.100916 | − | 0.994895i | \(-0.467823\pi\) |
−0.984571 | + | 0.174983i | \(0.944013\pi\) | |||||||
\(192\) | 0.763184 | − | 0.124590i | 0.0550780 | − | 0.00899148i | ||||
\(193\) | 22.6020 | − | 6.97178i | 1.62692 | − | 0.501840i | 0.658802 | − | 0.752316i | \(-0.271063\pi\) |
0.968123 | + | 0.250476i | \(0.0805872\pi\) | |||||||
\(194\) | 6.71295 | − | 3.23279i | 0.481962 | − | 0.232101i | ||||
\(195\) | −13.5308 | + | 4.35551i | −0.968960 | + | 0.311904i | ||||
\(196\) | −7.73868 | + | 2.42122i | −0.552763 | + | 0.172944i | ||||
\(197\) | −16.5925 | −1.18216 | −0.591082 | − | 0.806611i | \(-0.701299\pi\) | ||||
−0.591082 | + | 0.806611i | \(0.701299\pi\) | |||||||
\(198\) | 7.90229 | − | 0.193213i | 0.561591 | − | 0.0137310i | ||||
\(199\) | 13.4107 | + | 12.4434i | 0.950663 | + | 0.882086i | 0.993131 | − | 0.117012i | \(-0.0373315\pi\) |
−0.0424677 | + | 0.999098i | \(0.513522\pi\) | |||||||
\(200\) | 7.05810 | − | 8.85057i | 0.499083 | − | 0.625830i | ||||
\(201\) | −7.23075 | − | 3.37390i | −0.510018 | − | 0.237977i | ||||
\(202\) | −22.0107 | − | 6.78940i | −1.54867 | − | 0.477701i | ||||
\(203\) | −3.24835 | + | 21.8496i | −0.227989 | + | 1.53354i | ||||
\(204\) | −0.700901 | + | 0.490521i | −0.0490729 | + | 0.0343434i | ||||
\(205\) | 7.17620 | − | 4.89265i | 0.501207 | − | 0.341717i | ||||
\(206\) | −22.2937 | − | 6.87670i | −1.55328 | − | 0.479122i | ||||
\(207\) | −2.89089 | − | 4.73593i | −0.200931 | − | 0.329170i | ||||
\(208\) | 4.20742 | − | 10.7203i | 0.291732 | − | 0.743321i | ||||
\(209\) | −7.13185 | − | 4.86242i | −0.493321 | − | 0.336340i | ||||
\(210\) | −24.7962 | + | 14.7906i | −1.71110 | + | 1.02065i | ||||
\(211\) | −12.0497 | + | 8.21534i | −0.829534 | + | 0.565567i | −0.901966 | − | 0.431806i | \(-0.857876\pi\) |
0.0724319 | + | 0.997373i | \(0.476924\pi\) | |||||||
\(212\) | 2.61045 | + | 11.4371i | 0.179286 | + | 0.785505i | ||||
\(213\) | 1.58089 | − | 25.2300i | 0.108321 | − | 1.72873i | ||||
\(214\) | 1.84731 | 0.126279 | ||||||||
\(215\) | 19.3858 | + | 33.5773i | 1.32210 | + | 2.28995i | ||||
\(216\) | 7.76679 | − | 0.284921i | 0.528463 | − | 0.0193864i | ||||
\(217\) | 13.7875 | + | 14.7995i | 0.935954 | + | 1.00466i | ||||
\(218\) | 31.9479 | + | 4.81538i | 2.16379 | + | 0.326138i | ||||
\(219\) | 3.05105 | − | 8.06234i | 0.206171 | − | 0.544803i | ||||
\(220\) | −0.455003 | − | 6.07159i | −0.0306763 | − | 0.409347i | ||||
\(221\) | 0.0737625 | + | 0.984292i | 0.00496180 | + | 0.0662107i | ||||
\(222\) | −9.27097 | + | 1.51348i | −0.622226 | + | 0.101578i | ||||
\(223\) | −20.5218 | − | 3.09316i | −1.37424 | − | 0.207133i | −0.579939 | − | 0.814660i | \(-0.696924\pi\) |
−0.794299 | + | 0.607527i | \(0.792162\pi\) | |||||||
\(224\) | 2.27597 | − | 15.3091i | 0.152070 | − | 1.02288i | ||||
\(225\) | −16.2617 | + | 15.8458i | −1.08411 | + | 1.05638i | ||||
\(226\) | 11.8879 | + | 20.5904i | 0.790769 | + | 1.36965i | ||||
\(227\) | −14.1137 | −0.936760 | −0.468380 | − | 0.883527i | \(-0.655162\pi\) | ||||
−0.468380 | + | 0.883527i | \(0.655162\pi\) | |||||||
\(228\) | 9.73090 | + | 6.46163i | 0.644445 | + | 0.427932i | ||||
\(229\) | −1.70060 | − | 7.45081i | −0.112379 | − | 0.492363i | −0.999523 | − | 0.0308718i | \(-0.990172\pi\) |
0.887145 | − | 0.461491i | \(-0.152686\pi\) | |||||||
\(230\) | −9.62798 | + | 6.56424i | −0.634850 | + | 0.432833i | ||||
\(231\) | 1.91001 | − | 6.52022i | 0.125669 | − | 0.428999i | ||||
\(232\) | −10.3181 | − | 7.03476i | −0.677417 | − | 0.461855i | ||||
\(233\) | −9.26266 | + | 23.6009i | −0.606817 | + | 1.54614i | 0.215134 | + | 0.976585i | \(0.430981\pi\) |
−0.821950 | + | 0.569559i | \(0.807114\pi\) | |||||||
\(234\) | −5.90788 | + | 10.8361i | −0.386210 | + | 0.708377i | ||||
\(235\) | −9.92732 | − | 3.06217i | −0.647587 | − | 0.199754i | ||||
\(236\) | −2.17830 | + | 1.48514i | −0.141795 | + | 0.0966745i | ||||
\(237\) | −0.860730 | − | 9.86591i | −0.0559104 | − | 0.640860i | ||||
\(238\) | 0.594805 | + | 1.91462i | 0.0385555 | + | 0.124106i | ||||
\(239\) | −5.61321 | − | 1.73145i | −0.363088 | − | 0.111998i | 0.107843 | − | 0.994168i | \(-0.465606\pi\) |
−0.470931 | + | 0.882170i | \(0.656082\pi\) | |||||||
\(240\) | −2.65504 | − | 30.4327i | −0.171382 | − | 1.96442i | ||||
\(241\) | −0.284282 | + | 0.356479i | −0.0183122 | + | 0.0229628i | −0.790903 | − | 0.611941i | \(-0.790389\pi\) |
0.772591 | + | 0.634904i | \(0.218960\pi\) | |||||||
\(242\) | −11.4667 | − | 10.6396i | −0.737110 | − | 0.683938i | ||||
\(243\) | −15.5275 | − | 1.37756i | −0.996088 | − | 0.0883708i | ||||
\(244\) | 6.28377 | 0.402277 | ||||||||
\(245\) | 5.61950 | + | 24.1718i | 0.359017 | + | 1.54428i | ||||
\(246\) | 1.58809 | − | 7.37209i | 0.101253 | − | 0.470027i | ||||
\(247\) | 12.1425 | − | 5.84752i | 0.772609 | − | 0.372069i | ||||
\(248\) | −10.9268 | + | 3.37046i | −0.693850 | + | 0.214024i | ||||
\(249\) | −10.5803 | − | 12.9396i | −0.670499 | − | 0.820015i | ||||
\(250\) | 11.8625 | + | 11.0068i | 0.750251 | + | 0.696131i | ||||
\(251\) | −1.56318 | − | 6.84872i | −0.0986667 | − | 0.432287i | 0.901333 | − | 0.433127i | \(-0.142590\pi\) |
−1.00000 | 0.000839737i | \(0.999733\pi\) | ||||||||
\(252\) | −2.47669 | + | 8.85444i | −0.156017 | + | 0.557777i | ||||
\(253\) | 0.610180 | − | 2.67337i | 0.0383617 | − | 0.168073i | ||||
\(254\) | −6.13918 | + | 4.18562i | −0.385206 | + | 0.262629i | ||||
\(255\) | 1.33674 | + | 2.25130i | 0.0837099 | + | 0.140982i | ||||
\(256\) | 16.7523 | + | 11.4216i | 1.04702 | + | 0.713847i | ||||
\(257\) | 10.0104 | + | 12.5526i | 0.624432 | + | 0.783012i | 0.988960 | − | 0.148180i | \(-0.0473414\pi\) |
−0.364529 | + | 0.931192i | \(0.618770\pi\) | |||||||
\(258\) | 32.2873 | + | 9.52873i | 2.01012 | + | 0.593233i | ||||
\(259\) | −1.18731 | + | 7.98630i | −0.0737758 | + | 0.496245i | ||||
\(260\) | 8.56504 | + | 4.12471i | 0.531181 | + | 0.255804i | ||||
\(261\) | 18.7720 | + | 16.5827i | 1.16196 | + | 1.02644i | ||||
\(262\) | −11.6361 | + | 1.75386i | −0.718883 | + | 0.108354i | ||||
\(263\) | −10.5300 | −0.649308 | −0.324654 | − | 0.945833i | \(-0.605248\pi\) | ||||
−0.324654 | + | 0.945833i | \(0.605248\pi\) | |||||||
\(264\) | 2.84736 | + | 2.57792i | 0.175243 | + | 0.158660i | ||||
\(265\) | 35.5025 | − | 5.35114i | 2.18090 | − | 0.328718i | ||||
\(266\) | 21.3679 | − | 17.1108i | 1.31015 | − | 1.04913i | ||||
\(267\) | −2.63228 | − | 3.21925i | −0.161093 | − | 0.197015i | ||||
\(268\) | 1.94959 | + | 4.96747i | 0.119090 | + | 0.303437i | ||||
\(269\) | 22.2986 | − | 15.2029i | 1.35957 | − | 0.926940i | 0.359590 | − | 0.933110i | \(-0.382917\pi\) |
0.999981 | + | 0.00617064i | \(0.00196419\pi\) | |||||||
\(270\) | −1.24806 | + | 32.7144i | −0.0759546 | + | 1.99093i | ||||
\(271\) | 6.13721 | + | 0.925036i | 0.372809 | + | 0.0561919i | 0.332775 | − | 0.943006i | \(-0.392015\pi\) |
0.0400344 | + | 0.999198i | \(0.487253\pi\) | |||||||
\(272\) | −2.09757 | − | 0.316158i | −0.127184 | − | 0.0191699i | ||||
\(273\) | 7.32536 | + | 7.67285i | 0.443351 | + | 0.464382i | ||||
\(274\) | −22.0114 | + | 3.31768i | −1.32976 | + | 0.200429i | ||||
\(275\) | −11.2211 | −0.676659 | ||||||||
\(276\) | −0.781448 | + | 3.62757i | −0.0470377 | + | 0.218354i | ||||
\(277\) | −9.59136 | − | 12.0272i | −0.576289 | − | 0.722643i | 0.405186 | − | 0.914234i | \(-0.367207\pi\) |
−0.981475 | + | 0.191591i | \(0.938635\pi\) | |||||||
\(278\) | −19.3583 | + | 17.9619i | −1.16104 | + | 1.07728i | ||||
\(279\) | 22.5884 | − | 3.97159i | 1.35233 | − | 0.237773i | ||||
\(280\) | −13.6840 | − | 3.09432i | −0.817775 | − | 0.184921i | ||||
\(281\) | 15.5467 | + | 10.5996i | 0.927438 | + | 0.632316i | 0.929952 | − | 0.367680i | \(-0.119848\pi\) |
−0.00251437 | + | 0.999997i | \(0.500800\pi\) | |||||||
\(282\) | −8.07854 | + | 4.01279i | −0.481070 | + | 0.238958i | ||||
\(283\) | −14.4802 | − | 9.87242i | −0.860757 | − | 0.586855i | 0.0504850 | − | 0.998725i | \(-0.483923\pi\) |
−0.911242 | + | 0.411870i | \(0.864876\pi\) | |||||||
\(284\) | −12.3934 | + | 11.4994i | −0.735413 | + | 0.682364i | ||||
\(285\) | 21.9461 | − | 28.2203i | 1.29997 | − | 1.67163i | ||||
\(286\) | −5.82849 | + | 1.79785i | −0.344646 | + | 0.106309i | ||||
\(287\) | −5.61993 | − | 3.22961i | −0.331734 | − | 0.190638i | ||||
\(288\) | −13.1527 | − | 11.6188i | −0.775032 | − | 0.684642i | ||||
\(289\) | −16.0710 | + | 4.95725i | −0.945353 | + | 0.291603i | ||||
\(290\) | 32.7978 | − | 41.1271i | 1.92595 | − | 2.41507i | ||||
\(291\) | −6.58050 | − | 3.07049i | −0.385756 | − | 0.179995i | ||||
\(292\) | −5.19424 | + | 2.50141i | −0.303970 | + | 0.146384i | ||||
\(293\) | 0.461345 | − | 0.799073i | 0.0269520 | − | 0.0466823i | −0.852235 | − | 0.523160i | \(-0.824753\pi\) |
0.879187 | + | 0.476477i | \(0.158087\pi\) | |||||||
\(294\) | 17.9980 | + | 11.8471i | 1.04966 | + | 0.690937i | ||||
\(295\) | 4.03437 | + | 6.98773i | 0.234890 | + | 0.406841i | ||||
\(296\) | −3.77139 | − | 2.57129i | −0.219208 | − | 0.149453i | ||||
\(297\) | −5.02089 | − | 5.84303i | −0.291342 | − | 0.339047i | ||||
\(298\) | −9.38486 | − | 23.9122i | −0.543650 | − | 1.38520i | ||||
\(299\) | 3.13851 | + | 2.91211i | 0.181504 | + | 0.168412i | ||||
\(300\) | 15.1839 | − | 0.185597i | 0.876642 | − | 0.0107155i | ||||
\(301\) | 16.2515 | − | 23.9399i | 0.936721 | − | 1.37988i | ||||
\(302\) | 5.34633 | + | 4.96067i | 0.307647 | + | 0.285454i | ||||
\(303\) | 8.45638 | + | 20.7955i | 0.485806 | + | 1.19467i | ||||
\(304\) | 6.44502 | + | 28.2375i | 0.369647 | + | 1.61953i | ||||
\(305\) | 1.43717 | − | 19.1777i | 0.0822922 | − | 1.09811i | ||||
\(306\) | 2.18806 | + | 0.616777i | 0.125083 | + | 0.0352588i | ||||
\(307\) | −22.9428 | + | 11.0487i | −1.30941 | + | 0.630580i | −0.952779 | − | 0.303664i | \(-0.901790\pi\) |
−0.356634 | + | 0.934244i | \(0.616076\pi\) | |||||||
\(308\) | −3.93054 | + | 2.27985i | −0.223963 | + | 0.129907i | ||||
\(309\) | 8.56512 | + | 21.0629i | 0.487252 | + | 1.19822i | ||||
\(310\) | −10.7181 | − | 46.9592i | −0.608749 | − | 2.66710i | ||||
\(311\) | 1.89190 | − | 4.82049i | 0.107280 | − | 0.273345i | −0.867146 | − | 0.498054i | \(-0.834048\pi\) |
0.974426 | + | 0.224709i | \(0.0721432\pi\) | |||||||
\(312\) | −5.70866 | + | 1.83760i | −0.323189 | + | 0.104033i | ||||
\(313\) | −9.08252 | + | 15.7314i | −0.513375 | + | 0.889191i | 0.486505 | + | 0.873678i | \(0.338272\pi\) |
−0.999880 | + | 0.0155132i | \(0.995062\pi\) | |||||||
\(314\) | −26.6723 | − | 33.4460i | −1.50520 | − | 1.88747i | ||||
\(315\) | 26.4568 | + | 9.58383i | 1.49067 | + | 0.539988i | ||||
\(316\) | −4.12953 | + | 5.17826i | −0.232304 | + | 0.291300i | ||||
\(317\) | 3.07133 | + | 7.82562i | 0.172503 | + | 0.439531i | 0.990812 | − | 0.135248i | \(-0.0431833\pi\) |
−0.818309 | + | 0.574779i | \(0.805088\pi\) | |||||||
\(318\) | 19.1371 | − | 24.6083i | 1.07316 | − | 1.37997i | ||||
\(319\) | 0.925055 | + | 12.3440i | 0.0517932 | + | 0.691132i | ||||
\(320\) | −0.986847 | + | 1.23747i | −0.0551664 | + | 0.0691765i | ||||
\(321\) | −1.13965 | − | 1.39378i | −0.0636091 | − | 0.0777933i | ||||
\(322\) | 7.54001 | + | 4.33302i | 0.420188 | + | 0.241470i | ||||
\(323\) | −1.54777 | − | 1.94084i | −0.0861201 | − | 0.107991i | ||||
\(324\) | 6.89067 | + | 7.82346i | 0.382815 | + | 0.434637i | ||||
\(325\) | 8.76007 | − | 15.1729i | 0.485921 | − | 0.841640i | ||||
\(326\) | 23.8153 | + | 29.8634i | 1.31900 | + | 1.65398i | ||||
\(327\) | −16.0763 | − | 27.0752i | −0.889021 | − | 1.49726i | ||||
\(328\) | 3.02765 | − | 2.06422i | 0.167174 | − | 0.113977i | ||||
\(329\) | 1.17097 | + | 7.66418i | 0.0645576 | + | 0.422540i | ||||
\(330\) | −11.7250 | + | 11.1489i | −0.645438 | + | 0.613729i | ||||
\(331\) | 9.61079 | − | 1.44859i | 0.528257 | − | 0.0796219i | 0.120502 | − | 0.992713i | \(-0.461550\pi\) |
0.407755 | + | 0.913091i | \(0.366312\pi\) | |||||||
\(332\) | −0.835368 | + | 11.1472i | −0.0458468 | + | 0.611783i | ||||
\(333\) | 6.86140 | + | 6.06118i | 0.376002 | + | 0.332151i | ||||
\(334\) | −1.04652 | − | 13.9649i | −0.0572631 | − | 0.764123i | ||||
\(335\) | 15.6063 | − | 4.81392i | 0.852665 | − | 0.263012i | ||||
\(336\) | −19.5793 | + | 11.6789i | −1.06814 | + | 0.637134i | ||||
\(337\) | 13.6223 | + | 4.20192i | 0.742053 | + | 0.228893i | 0.642656 | − | 0.766155i | \(-0.277832\pi\) |
0.0993968 | + | 0.995048i | \(0.468309\pi\) | |||||||
\(338\) | −3.02181 | + | 13.2394i | −0.164365 | + | 0.720130i | ||||
\(339\) | 8.20140 | − | 21.6720i | 0.445439 | − | 1.17706i | ||||
\(340\) | 0.389645 | − | 1.70714i | 0.0211314 | − | 0.0925829i | ||||
\(341\) | 9.36508 | + | 6.38500i | 0.507147 | + | 0.345767i | ||||
\(342\) | −3.07550 | − | 30.8871i | −0.166304 | − | 1.67019i | ||||
\(343\) | 14.4097 | − | 11.6344i | 0.778053 | − | 0.628199i | ||||
\(344\) | 8.17891 | + | 14.1663i | 0.440978 | + | 0.763795i | ||||
\(345\) | 10.8924 | + | 3.21460i | 0.586428 | + | 0.173068i | ||||
\(346\) | 12.0637 | − | 3.72114i | 0.648546 | − | 0.200050i | ||||
\(347\) | −29.2245 | − | 4.40488i | −1.56885 | − | 0.236466i | −0.693681 | − | 0.720282i | \(-0.744012\pi\) |
−0.875170 | + | 0.483816i | \(0.839250\pi\) | |||||||
\(348\) | −1.45591 | − | 16.6880i | −0.0780449 | − | 0.894571i | ||||
\(349\) | −13.3824 | + | 12.4170i | −0.716343 | + | 0.664669i | −0.951626 | − | 0.307258i | \(-0.900589\pi\) |
0.235283 | + | 0.971927i | \(0.424398\pi\) | |||||||
\(350\) | 10.4209 | − | 34.0267i | 0.557020 | − | 1.81880i | ||||
\(351\) | 11.8205 | − | 2.22760i | 0.630930 | − | 0.118900i | ||||
\(352\) | −0.648145 | − | 8.64889i | −0.0345462 | − | 0.460988i | ||||
\(353\) | 2.22704 | + | 9.75731i | 0.118533 | + | 0.519329i | 0.998979 | + | 0.0451813i | \(0.0143866\pi\) |
−0.880445 | + | 0.474148i | \(0.842756\pi\) | |||||||
\(354\) | 6.71928 | + | 1.98301i | 0.357126 | + | 0.105396i | ||||
\(355\) | 32.2610 | + | 40.4540i | 1.71224 | + | 2.14708i | ||||
\(356\) | −0.207832 | + | 2.77332i | −0.0110151 | + | 0.146986i | ||||
\(357\) | 1.07762 | − | 1.62995i | 0.0570337 | − | 0.0862663i | ||||
\(358\) | −2.52696 | − | 33.7200i | −0.133554 | − | 1.78216i | ||||
\(359\) | −9.76156 | + | 9.05740i | −0.515195 | + | 0.478031i | −0.894392 | − | 0.447285i | \(-0.852391\pi\) |
0.379196 | + | 0.925316i | \(0.376201\pi\) | |||||||
\(360\) | −11.3934 | + | 11.1019i | −0.600484 | + | 0.585124i | ||||
\(361\) | −7.44745 | + | 12.8994i | −0.391971 | + | 0.678913i | ||||
\(362\) | −6.97415 | + | 12.0796i | −0.366553 | + | 0.634889i | ||||
\(363\) | −0.953380 | + | 15.2154i | −0.0500395 | + | 0.798601i | ||||
\(364\) | −0.0142779 | − | 7.09459i | −0.000748364 | − | 0.371858i | ||||
\(365\) | 6.44619 | + | 16.4246i | 0.337409 | + | 0.859704i | ||||
\(366\) | −10.5698 | − | 12.9268i | −0.552493 | − | 0.675694i | ||||
\(367\) | −16.5291 | − | 7.96000i | −0.862812 | − | 0.415508i | −0.0504949 | − | 0.998724i | \(-0.516080\pi\) |
−0.812317 | + | 0.583216i | \(0.801794\pi\) | |||||||
\(368\) | −7.60236 | + | 5.18320i | −0.396301 | + | 0.270193i | ||||
\(369\) | −6.54192 | + | 3.34982i | −0.340559 | + | 0.174385i | ||||
\(370\) | 11.9880 | − | 15.0324i | 0.623225 | − | 0.781499i | ||||
\(371\) | −15.1384 | − | 22.1082i | −0.785946 | − | 1.14780i | ||||
\(372\) | −12.7780 | − | 8.48498i | −0.662507 | − | 0.439926i | ||||
\(373\) | −3.05031 | −0.157939 | −0.0789696 | − | 0.996877i | \(-0.525163\pi\) | ||||
−0.0789696 | + | 0.996877i | \(0.525163\pi\) | |||||||
\(374\) | 0.561747 | + | 0.972974i | 0.0290472 | + | 0.0503113i | ||||
\(375\) | 0.986287 | − | 15.7406i | 0.0509316 | − | 0.812839i | ||||
\(376\) | −4.18835 | − | 1.29194i | −0.215998 | − | 0.0666265i | ||||
\(377\) | −17.4134 | − | 8.38585i | −0.896835 | − | 0.431893i | ||||
\(378\) | 22.3811 | − | 9.79891i | 1.15116 | − | 0.504002i | ||||
\(379\) | −4.35625 | + | 2.09786i | −0.223765 | + | 0.107760i | −0.542408 | − | 0.840115i | \(-0.682487\pi\) |
0.318643 | + | 0.947875i | \(0.396773\pi\) | |||||||
\(380\) | −23.6417 | + | 3.56341i | −1.21279 | + | 0.182799i | ||||
\(381\) | 6.94543 | + | 2.04976i | 0.355825 | + | 0.105012i | ||||
\(382\) | 21.7036 | − | 20.1380i | 1.11045 | − | 1.03035i | ||||
\(383\) | 10.1587 | + | 4.89217i | 0.519085 | + | 0.249978i | 0.675034 | − | 0.737787i | \(-0.264129\pi\) |
−0.155948 | + | 0.987765i | \(0.549843\pi\) | |||||||
\(384\) | −1.64181 | − | 18.8188i | −0.0837832 | − | 0.960344i | ||||
\(385\) | 6.05903 | + | 12.5172i | 0.308797 | + | 0.637936i | ||||
\(386\) | 9.35373 | + | 40.9814i | 0.476092 | + | 2.08590i | ||||
\(387\) | −12.7295 | − | 30.2391i | −0.647075 | − | 1.53714i | ||||
\(388\) | 1.77427 | + | 4.52075i | 0.0900747 | + | 0.229507i | ||||
\(389\) | −6.40269 | + | 28.0520i | −0.324629 | + | 1.42229i | 0.504585 | + | 0.863362i | \(0.331646\pi\) |
−0.829214 | + | 0.558931i | \(0.811212\pi\) | |||||||
\(390\) | −5.92187 | − | 24.5579i | −0.299866 | − | 1.24354i | ||||
\(391\) | 0.394309 | − | 0.682963i | 0.0199410 | − | 0.0345389i | ||||
\(392\) | 2.37088 | + | 10.1981i | 0.119747 | + | 0.515082i | ||||
\(393\) | 8.50189 | + | 7.69738i | 0.428864 | + | 0.388282i | ||||
\(394\) | 2.20363 | − | 29.4054i | 0.111017 | − | 1.48142i | ||||
\(395\) | 14.8593 | + | 13.7874i | 0.747653 | + | 0.693720i | ||||
\(396\) | −0.259330 | + | 5.14574i | −0.0130318 | + | 0.258583i | ||||
\(397\) | 20.1547 | − | 6.21691i | 1.01154 | − | 0.312018i | 0.255684 | − | 0.966760i | \(-0.417699\pi\) |
0.755852 | + | 0.654743i | \(0.227223\pi\) | |||||||
\(398\) | −23.8333 | + | 22.1141i | −1.19466 | + | 1.10848i | ||||
\(399\) | −26.0924 | − | 5.56588i | −1.30625 | − | 0.278643i | ||||
\(400\) | 27.6011 | + | 25.6101i | 1.38006 | + | 1.28051i | ||||
\(401\) | −6.13040 | − | 2.95224i | −0.306137 | − | 0.147428i | 0.274507 | − | 0.961585i | \(-0.411485\pi\) |
−0.580645 | + | 0.814157i | \(0.697200\pi\) | |||||||
\(402\) | 6.93958 | − | 12.3663i | 0.346115 | − | 0.616777i | ||||
\(403\) | −15.9447 | + | 7.67857i | −0.794263 | + | 0.382497i | ||||
\(404\) | 5.48510 | − | 13.9758i | 0.272894 | − | 0.695323i | ||||
\(405\) | 25.4527 | − | 19.2406i | 1.26476 | − | 0.956075i | ||||
\(406\) | −38.2908 | − | 8.65858i | −1.90034 | − | 0.429718i | ||||
\(407\) | 0.338119 | + | 4.51188i | 0.0167599 | + | 0.223646i | ||||
\(408\) | 0.563972 | + | 0.949826i | 0.0279208 | + | 0.0470234i | ||||
\(409\) | 0.189457 | − | 0.482729i | 0.00936806 | − | 0.0238694i | −0.926113 | − | 0.377246i | \(-0.876871\pi\) |
0.935481 | + | 0.353376i | \(0.114966\pi\) | |||||||
\(410\) | 7.71775 | + | 13.3675i | 0.381152 | + | 0.660175i | ||||
\(411\) | 16.0825 | + | 14.5607i | 0.793293 | + | 0.718226i | ||||
\(412\) | 5.55563 | − | 14.1555i | 0.273706 | − | 0.697393i | ||||
\(413\) | 3.38208 | − | 4.98212i | 0.166421 | − | 0.245154i | ||||
\(414\) | 8.77700 | − | 4.49430i | 0.431366 | − | 0.220883i | ||||
\(415\) | 33.8296 | + | 5.09899i | 1.66063 | + | 0.250300i | ||||
\(416\) | 12.2008 | + | 5.87559i | 0.598193 | + | 0.288074i | ||||
\(417\) | 25.4948 | + | 3.52460i | 1.24849 | + | 0.172600i | ||||
\(418\) | 9.56440 | − | 11.9934i | 0.467810 | − | 0.586616i | ||||
\(419\) | 0.185502 | + | 0.472651i | 0.00906235 | + | 0.0230905i | 0.935333 | − | 0.353768i | \(-0.115100\pi\) |
−0.926271 | + | 0.376858i | \(0.877004\pi\) | |||||||
\(420\) | −8.40582 | − | 16.8375i | −0.410162 | − | 0.821584i | ||||
\(421\) | 7.98480 | − | 20.3449i | 0.389155 | − | 0.991551i | −0.593288 | − | 0.804990i | \(-0.702171\pi\) |
0.982443 | − | 0.186561i | \(-0.0597342\pi\) | |||||||
\(422\) | −12.9590 | − | 22.4457i | −0.630835 | − | 1.09264i | ||||
\(423\) | 8.01148 | + | 3.61962i | 0.389531 | + | 0.175992i | ||||
\(424\) | 14.9786 | − | 2.25765i | 0.727423 | − | 0.109641i | ||||
\(425\) | −3.08375 | − | 0.951211i | −0.149584 | − | 0.0461405i | ||||
\(426\) | 44.5030 | + | 6.15244i | 2.15618 | + | 0.298087i | ||||
\(427\) | −13.3496 | + | 5.27036i | −0.646032 | + | 0.255050i | ||||
\(428\) | −0.0899811 | + | 1.20071i | −0.00434940 | + | 0.0580387i | ||||
\(429\) | 4.95221 | + | 3.28842i | 0.239095 | + | 0.158766i | ||||
\(430\) | −62.0806 | + | 29.8964i | −2.99379 | + | 1.44173i | ||||
\(431\) | 20.9641 | + | 6.46656i | 1.00980 | + | 0.311483i | 0.755152 | − | 0.655549i | \(-0.227563\pi\) |
0.254652 | + | 0.967033i | \(0.418039\pi\) | |||||||
\(432\) | −0.985483 | + | 25.8316i | −0.0474141 | + | 1.24283i | ||||
\(433\) | 2.11210 | − | 9.25372i | 0.101501 | − | 0.444706i | −0.898483 | − | 0.439009i | \(-0.855330\pi\) |
0.999984 | − | 0.00569648i | \(-0.00181326\pi\) | |||||||
\(434\) | −28.0589 | + | 22.4688i | −1.34687 | + | 1.07854i | ||||
\(435\) | −51.2639 | + | 0.626614i | −2.45791 | + | 0.0300438i | ||||
\(436\) | −4.68606 | + | 20.5310i | −0.224422 | + | 0.983256i | ||||
\(437\) | −10.6475 | − | 1.60485i | −0.509337 | − | 0.0767703i | ||||
\(438\) | 13.8830 | + | 6.47786i | 0.663354 | + | 0.309524i | ||||
\(439\) | −2.48906 | + | 33.2141i | −0.118796 | + | 1.58522i | 0.545731 | + | 0.837960i | \(0.316252\pi\) |
−0.664527 | + | 0.747264i | \(0.731367\pi\) | |||||||
\(440\) | −7.86181 | −0.374797 | ||||||||
\(441\) | −2.16482 | − | 20.8881i | −0.103087 | − | 0.994672i | ||||
\(442\) | −1.75417 | −0.0834374 | ||||||||
\(443\) | −0.711751 | + | 9.49766i | −0.0338163 | + | 0.451247i | 0.954436 | + | 0.298416i | \(0.0964582\pi\) |
−0.988252 | + | 0.152832i | \(0.951161\pi\) | |||||||
\(444\) | −0.532152 | − | 6.09967i | −0.0252548 | − | 0.289477i | ||||
\(445\) | 8.41649 | + | 1.26858i | 0.398980 | + | 0.0601365i | ||||
\(446\) | 8.20720 | − | 35.9581i | 0.388622 | − | 1.70267i | ||||
\(447\) | −12.2519 | + | 21.8329i | −0.579494 | + | 1.03266i | ||||
\(448\) | 1.15213 | + | 0.260527i | 0.0544328 | + | 0.0123087i | ||||
\(449\) | −1.41186 | + | 6.18578i | −0.0666299 | + | 0.291925i | −0.997254 | − | 0.0740505i | \(-0.976407\pi\) |
0.930625 | + | 0.365975i | \(0.119265\pi\) | |||||||
\(450\) | −25.9223 | − | 30.9237i | −1.22199 | − | 1.45776i | ||||
\(451\) | −3.47090 | − | 1.07063i | −0.163438 | − | 0.0504140i | ||||
\(452\) | −13.9624 | + | 6.72394i | −0.656736 | + | 0.316268i | ||||
\(453\) | 0.444511 | − | 7.09413i | 0.0208849 | − | 0.333311i | ||||
\(454\) | 1.87443 | − | 25.0125i | 0.0879712 | − | 1.17389i | ||||
\(455\) | −21.6556 | − | 1.57904i | −1.01523 | − | 0.0740265i | ||||
\(456\) | 9.25909 | − | 11.9062i | 0.433597 | − | 0.557559i | ||||
\(457\) | 11.0753 | + | 3.41629i | 0.518083 | + | 0.159807i | 0.542759 | − | 0.839888i | \(-0.317380\pi\) |
−0.0246769 | + | 0.999695i | \(0.507856\pi\) | |||||||
\(458\) | 13.4303 | − | 2.02429i | 0.627555 | − | 0.0945887i | ||||
\(459\) | −0.884514 | − | 2.03138i | −0.0412856 | − | 0.0948168i | ||||
\(460\) | −3.79766 | − | 6.57774i | −0.177067 | − | 0.306689i | ||||
\(461\) | 0.967468 | − | 2.46507i | 0.0450595 | − | 0.114810i | −0.906572 | − | 0.422051i | \(-0.861310\pi\) |
0.951632 | + | 0.307241i | \(0.0994057\pi\) | |||||||
\(462\) | 11.3015 | + | 4.25089i | 0.525795 | + | 0.197769i | ||||
\(463\) | −11.2382 | − | 28.6344i | −0.522282 | − | 1.33075i | −0.912141 | − | 0.409877i | \(-0.865571\pi\) |
0.389859 | − | 0.920875i | \(-0.372524\pi\) | |||||||
\(464\) | 25.8975 | − | 32.4744i | 1.20226 | − | 1.50759i | ||||
\(465\) | −28.8181 | + | 37.0571i | −1.33641 | + | 1.71848i | ||||
\(466\) | −40.5956 | − | 19.5498i | −1.88055 | − | 0.905627i | ||||
\(467\) | −32.5918 | − | 4.91242i | −1.50817 | − | 0.227320i | −0.657673 | − | 0.753304i | \(-0.728459\pi\) |
−0.850495 | + | 0.525984i | \(0.823697\pi\) | |||||||
\(468\) | −6.75548 | − | 4.36782i | −0.312272 | − | 0.201903i | ||||
\(469\) | −8.30816 | − | 8.91800i | −0.383635 | − | 0.411795i | ||||
\(470\) | 6.74525 | − | 17.1866i | 0.311135 | − | 0.792760i | ||||
\(471\) | −8.78000 | + | 40.7577i | −0.404561 | + | 1.87802i | ||||
\(472\) | 1.70211 | + | 2.94813i | 0.0783458 | + | 0.135699i | ||||
\(473\) | 5.92382 | − | 15.0937i | 0.272378 | − | 0.694007i | ||||
\(474\) | 17.5988 | − | 0.215115i | 0.808339 | − | 0.00988057i | ||||
\(475\) | 3.29283 | + | 43.9397i | 0.151085 | + | 2.01609i | ||||
\(476\) | −1.27344 | + | 0.293352i | −0.0583680 | + | 0.0134458i | ||||
\(477\) | −30.3730 | + | 0.742628i | −1.39068 | + | 0.0340026i | ||||
\(478\) | 3.81397 | − | 9.71785i | 0.174447 | − | 0.444484i | ||||
\(479\) | 4.32968 | − | 2.08506i | 0.197828 | − | 0.0952690i | −0.332347 | − | 0.943157i | \(-0.607840\pi\) |
0.530175 | + | 0.847888i | \(0.322126\pi\) | |||||||
\(480\) | 35.9183 | − | 0.439040i | 1.63944 | − | 0.0200394i | ||||
\(481\) | −6.36480 | − | 3.06513i | −0.290210 | − | 0.139758i | ||||
\(482\) | −0.594000 | − | 0.551152i | −0.0270560 | − | 0.0251043i | ||||
\(483\) | −1.38238 | − | 8.36203i | −0.0629006 | − | 0.380486i | ||||
\(484\) | 7.47405 | − | 6.93491i | 0.339730 | − | 0.315223i | ||||
\(485\) | 14.2029 | − | 4.38101i | 0.644920 | − | 0.198931i | ||||
\(486\) | 4.50352 | − | 27.3350i | 0.204284 | − | 1.23994i | ||||
\(487\) | −4.24601 | − | 3.93972i | −0.192405 | − | 0.178526i | 0.578087 | − | 0.815975i | \(-0.303799\pi\) |
−0.770493 | + | 0.637449i | \(0.779990\pi\) | |||||||
\(488\) | 0.606345 | − | 8.09111i | 0.0274479 | − | 0.366267i | ||||
\(489\) | 7.83952 | − | 36.3919i | 0.354515 | − | 1.64570i | ||||
\(490\) | −43.5838 | + | 6.74872i | −1.96892 | + | 0.304876i | ||||
\(491\) | 12.1877 | − | 21.1097i | 0.550024 | − | 0.952670i | −0.448248 | − | 0.893909i | \(-0.647952\pi\) |
0.998272 | − | 0.0587604i | \(-0.0187148\pi\) | |||||||
\(492\) | 4.71436 | + | 1.39132i | 0.212540 | + | 0.0627254i | ||||
\(493\) | −0.792177 | + | 3.47076i | −0.0356779 | + | 0.156315i | ||||
\(494\) | 8.75041 | + | 22.2957i | 0.393699 | + | 1.00313i | ||||
\(495\) | 15.6452 | + | 1.96835i | 0.703200 | + | 0.0884709i | ||||
\(496\) | −8.46317 | − | 37.0795i | −0.380007 | − | 1.66492i | ||||
\(497\) | 16.6844 | − | 34.8246i | 0.748398 | − | 1.56210i | ||||
\(498\) | 24.3369 | − | 17.0320i | 1.09056 | − | 0.763224i | ||||
\(499\) | 32.3282 | + | 15.5684i | 1.44721 | + | 0.696938i | 0.982108 | − | 0.188320i | \(-0.0603043\pi\) |
0.465099 | + | 0.885258i | \(0.346019\pi\) | |||||||
\(500\) | −7.73202 | + | 7.17427i | −0.345787 | + | 0.320843i | ||||
\(501\) | −9.89077 | + | 9.40485i | −0.441887 | + | 0.420178i | ||||
\(502\) | 12.3450 | − | 1.86071i | 0.550983 | − | 0.0830474i | ||||
\(503\) | −34.9332 | + | 16.8229i | −1.55759 | + | 0.750098i | −0.996956 | − | 0.0779624i | \(-0.975159\pi\) |
−0.560639 | + | 0.828061i | \(0.689444\pi\) | |||||||
\(504\) | 11.1622 | + | 4.04343i | 0.497202 | + | 0.180109i | ||||
\(505\) | −41.3989 | − | 19.9367i | −1.84223 | − | 0.887170i | ||||
\(506\) | 4.65674 | + | 1.43642i | 0.207018 | + | 0.0638564i | ||||
\(507\) | 11.8533 | − | 5.88779i | 0.526424 | − | 0.261486i | ||||
\(508\) | −2.42154 | − | 4.19422i | −0.107438 | − | 0.186089i | ||||
\(509\) | −9.76127 | −0.432661 | −0.216330 | − | 0.976320i | \(-0.569409\pi\) | ||||
−0.216330 | + | 0.976320i | \(0.569409\pi\) | |||||||
\(510\) | −4.16731 | + | 2.06999i | −0.184531 | + | 0.0916608i | ||||
\(511\) | 8.93693 | − | 9.67068i | 0.395346 | − | 0.427806i | ||||
\(512\) | −8.86631 | + | 11.1180i | −0.391839 | + | 0.491351i | ||||
\(513\) | −21.4068 | + | 21.3755i | −0.945133 | + | 0.943751i | ||||
\(514\) | −23.5754 | + | 16.0734i | −1.03987 | + | 0.708969i | ||||
\(515\) | −41.9312 | − | 20.1930i | −1.84771 | − | 0.889811i | ||||
\(516\) | −7.76618 | + | 20.5220i | −0.341887 | + | 0.903430i | ||||
\(517\) | 1.58729 | + | 4.04434i | 0.0698088 | + | 0.177870i | ||||
\(518\) | −13.9957 | − | 3.16482i | −0.614937 | − | 0.139054i | ||||
\(519\) | −10.2499 | − | 6.80628i | −0.449923 | − | 0.298763i | ||||
\(520\) | 6.13753 | − | 10.6305i | 0.269148 | − | 0.466179i | ||||
\(521\) | 15.0238 | − | 26.0219i | 0.658203 | − | 1.14004i | −0.322878 | − | 0.946441i | \(-0.604650\pi\) |
0.981081 | − | 0.193600i | \(-0.0620164\pi\) | |||||||
\(522\) | −31.8812 | + | 31.0657i | −1.39540 | + | 1.35971i | ||||
\(523\) | −14.1028 | + | 13.0854i | −0.616670 | + | 0.572186i | −0.925413 | − | 0.378959i | \(-0.876282\pi\) |
0.308743 | + | 0.951145i | \(0.400092\pi\) | |||||||
\(524\) | −0.573190 | − | 7.64869i | −0.0250399 | − | 0.334134i | ||||
\(525\) | −32.1018 | + | 13.1294i | −1.40104 | + | 0.573014i | ||||
\(526\) | 1.39848 | − | 18.6614i | 0.0609765 | − | 0.813675i | ||||
\(527\) | 2.03242 | + | 2.54858i | 0.0885338 | + | 0.111018i | ||||
\(528\) | −9.25816 | + | 8.80333i | −0.402910 | + | 0.383116i | ||||
\(529\) | 4.35681 | + | 19.0884i | 0.189426 | + | 0.829931i | ||||
\(530\) | 4.76831 | + | 63.6286i | 0.207122 | + | 2.76385i | ||||
\(531\) | −2.64912 | − | 6.29302i | −0.114962 | − | 0.273094i | ||||
\(532\) | 10.0809 | + | 14.7222i | 0.437062 | + | 0.638288i | ||||
\(533\) | 4.15732 | − | 3.85743i | 0.180074 | − | 0.167084i | ||||
\(534\) | 6.05479 | − | 4.23741i | 0.262016 | − | 0.183371i | ||||
\(535\) | 3.64393 | + | 0.549235i | 0.157541 | + | 0.0237455i | ||||
\(536\) | 6.58434 | − | 2.03100i | 0.284400 | − | 0.0877258i | ||||
\(537\) | −23.8826 | + | 22.7093i | −1.03061 | + | 0.979977i | ||||
\(538\) | 23.9814 | + | 41.5370i | 1.03391 | + | 1.79079i | ||||
\(539\) | 6.43808 | − | 8.14009i | 0.277308 | − | 0.350619i | ||||
\(540\) | −21.2029 | − | 2.40471i | −0.912428 | − | 0.103482i | ||||
\(541\) | −11.0477 | − | 7.53221i | −0.474979 | − | 0.323835i | 0.302059 | − | 0.953289i | \(-0.402326\pi\) |
−0.777038 | + | 0.629454i | \(0.783279\pi\) | |||||||
\(542\) | −2.45444 | + | 10.7536i | −0.105427 | + | 0.461906i | ||||
\(543\) | 13.4165 | − | 2.19024i | 0.575757 | − | 0.0939922i | ||||
\(544\) | 0.555043 | − | 2.43180i | 0.0237973 | − | 0.104263i | ||||
\(545\) | 61.5877 | + | 18.9973i | 2.63813 | + | 0.813754i | ||||
\(546\) | −14.5708 | + | 11.9631i | −0.623572 | + | 0.511972i | ||||
\(547\) | 6.29189 | − | 1.94079i | 0.269022 | − | 0.0829822i | −0.157309 | − | 0.987549i | \(-0.550282\pi\) |
0.426331 | + | 0.904567i | \(0.359806\pi\) | |||||||
\(548\) | −1.08427 | − | 14.4686i | −0.0463177 | − | 0.618067i | ||||
\(549\) | −3.23241 | + | 15.9497i | −0.137956 | + | 0.680717i | ||||
\(550\) | 1.49026 | − | 19.8862i | 0.0635451 | − | 0.847950i | ||||
\(551\) | 48.0653 | − | 7.24468i | 2.04765 | − | 0.308634i | ||||
\(552\) | 4.59553 | + | 1.35625i | 0.195599 | + | 0.0577257i | ||||
\(553\) | 4.42986 | − | 14.4645i | 0.188377 | − | 0.615095i | ||||
\(554\) | 22.5885 | − | 15.4006i | 0.959695 | − | 0.654309i | ||||
\(555\) | −18.7376 | + | 0.229035i | −0.795365 | + | 0.00972198i | ||||
\(556\) | −10.7320 | − | 13.4575i | −0.455137 | − | 0.570723i | ||||
\(557\) | 16.4886 | − | 28.5592i | 0.698646 | − | 1.21009i | −0.270290 | − | 0.962779i | \(-0.587120\pi\) |
0.968936 | − | 0.247311i | \(-0.0795471\pi\) | |||||||
\(558\) | 4.03855 | + | 40.5589i | 0.170965 | + | 1.71700i | ||||
\(559\) | 15.7846 | + | 19.7933i | 0.667618 | + | 0.837167i | ||||
\(560\) | 13.6645 | − | 44.6178i | 0.577430 | − | 1.88545i | ||||
\(561\) | 0.387547 | − | 1.02409i | 0.0163623 | − | 0.0432369i | ||||
\(562\) | −20.8494 | + | 26.1443i | −0.879479 | + | 1.10283i | ||||
\(563\) | 0.725702 | + | 9.68383i | 0.0305847 | + | 0.408125i | 0.991394 | + | 0.130914i | \(0.0417911\pi\) |
−0.960809 | + | 0.277211i | \(0.910590\pi\) | |||||||
\(564\) | −2.21473 | − | 5.44636i | −0.0932571 | − | 0.229333i | ||||
\(565\) | 17.3277 | + | 44.1503i | 0.728983 | + | 1.85742i | ||||
\(566\) | 19.4191 | − | 24.3508i | 0.816246 | − | 1.02354i | ||||
\(567\) | −21.2007 | − | 10.8412i | −0.890344 | − | 0.455288i | ||||
\(568\) | 13.6110 | + | 17.0676i | 0.571104 | + | 0.716141i | ||||
\(569\) | 16.4861 | − | 28.5547i | 0.691132 | − | 1.19708i | −0.280335 | − | 0.959902i | \(-0.590445\pi\) |
0.971467 | − | 0.237174i | \(-0.0762212\pi\) | |||||||
\(570\) | 47.0978 | + | 42.6410i | 1.97271 | + | 1.78604i | ||||
\(571\) | −6.24328 | + | 15.9076i | −0.261273 | + | 0.665713i | −0.999965 | − | 0.00832962i | \(-0.997349\pi\) |
0.738692 | + | 0.674043i | \(0.235444\pi\) | |||||||
\(572\) | −0.884667 | − | 3.87598i | −0.0369898 | − | 0.162063i | ||||
\(573\) | −28.5834 | − | 3.95159i | −1.19409 | − | 0.165080i | ||||
\(574\) | 6.46993 | − | 9.53079i | 0.270049 | − | 0.397808i | ||||
\(575\) | −12.6117 | + | 6.07347i | −0.525944 | + | 0.253281i | ||||
\(576\) | 0.959268 | − | 0.934731i | 0.0399695 | − | 0.0389471i | ||||
\(577\) | −1.20808 | + | 16.1207i | −0.0502930 | + | 0.671113i | 0.913905 | + | 0.405929i | \(0.133052\pi\) |
−0.964198 | + | 0.265184i | \(0.914567\pi\) | |||||||
\(578\) | −6.65092 | − | 29.1396i | −0.276642 | − | 1.21205i | ||||
\(579\) | 25.1496 | − | 32.3397i | 1.04518 | − | 1.34399i | ||||
\(580\) | 25.1342 | + | 23.3212i | 1.04364 | + | 0.968359i | ||||
\(581\) | −7.57475 | − | 24.3824i | −0.314253 | − | 1.01155i | ||||
\(582\) | 6.31551 | − | 11.2543i | 0.261786 | − | 0.466504i | ||||
\(583\) | −11.0068 | − | 10.2128i | −0.455855 | − | 0.422971i | ||||
\(584\) | 2.71966 | + | 6.92957i | 0.112540 | + | 0.286748i | ||||
\(585\) | −14.8754 | + | 19.6184i | −0.615022 | + | 0.811120i | ||||
\(586\) | 1.35485 | + | 0.923724i | 0.0559685 | + | 0.0381587i | ||||
\(587\) | −5.58442 | − | 9.67249i | −0.230494 | − | 0.399227i | 0.727460 | − | 0.686150i | \(-0.240701\pi\) |
−0.957953 | + | 0.286924i | \(0.907367\pi\) | |||||||
\(588\) | −8.57706 | + | 11.1213i | −0.353712 | + | 0.458633i | ||||
\(589\) | 22.2543 | − | 38.5455i | 0.916971 | − | 1.58824i | ||||
\(590\) | −12.9195 | + | 6.22172i | −0.531889 | + | 0.256144i | ||||
\(591\) | −23.5456 | + | 16.4783i | −0.968538 | + | 0.677825i | ||||
\(592\) | 9.46584 | − | 11.8698i | 0.389044 | − | 0.487845i | ||||
\(593\) | 14.2093 | − | 4.38300i | 0.583508 | − | 0.179988i | 0.0110731 | − | 0.999939i | \(-0.496475\pi\) |
0.572435 | + | 0.819950i | \(0.305999\pi\) | |||||||
\(594\) | 11.0219 | − | 8.12208i | 0.452234 | − | 0.333253i | ||||
\(595\) | 0.604043 | + | 3.95356i | 0.0247633 | + | 0.162080i | ||||
\(596\) | 15.9996 | − | 4.93523i | 0.655369 | − | 0.202155i | ||||
\(597\) | 31.3883 | + | 4.33936i | 1.28464 | + | 0.177598i | ||||
\(598\) | −5.57769 | + | 5.17534i | −0.228089 | + | 0.211636i | ||||
\(599\) | −2.52754 | − | 1.72325i | −0.103273 | − | 0.0704101i | 0.510583 | − | 0.859829i | \(-0.329430\pi\) |
−0.613855 | + | 0.789419i | \(0.710382\pi\) | |||||||
\(600\) | 1.22617 | − | 19.5690i | 0.0500582 | − | 0.798900i | ||||
\(601\) | −10.4344 | − | 7.11407i | −0.425629 | − | 0.290189i | 0.331499 | − | 0.943456i | \(-0.392446\pi\) |
−0.757128 | + | 0.653267i | \(0.773398\pi\) | |||||||
\(602\) | 40.2683 | + | 31.9805i | 1.64121 | + | 1.30343i | ||||
\(603\) | −13.6115 | + | 2.39323i | −0.554304 | + | 0.0974599i | ||||
\(604\) | −3.48475 | + | 3.23338i | −0.141793 | + | 0.131564i | ||||
\(605\) | −19.4555 | − | 24.3965i | −0.790981 | − | 0.991858i | ||||
\(606\) | −37.9771 | + | 12.2247i | −1.54271 | + | 0.496593i | ||||
\(607\) | 13.5702 | 0.550798 | 0.275399 | − | 0.961330i | \(-0.411190\pi\) | ||||
0.275399 | + | 0.961330i | \(0.411190\pi\) | |||||||
\(608\) | −33.6772 | + | 5.07602i | −1.36579 | + | 0.205860i | ||||
\(609\) | 17.0897 | + | 34.2318i | 0.692509 | + | 1.38714i | ||||
\(610\) | 33.7961 | + | 5.09394i | 1.36836 | + | 0.206248i | ||||
\(611\) | −6.70781 | − | 1.01104i | −0.271369 | − | 0.0409023i | ||||
\(612\) | −0.507472 | + | 1.39215i | −0.0205133 | + | 0.0562745i | ||||
\(613\) | −2.05485 | + | 1.40097i | −0.0829945 | + | 0.0565847i | −0.604106 | − | 0.796904i | \(-0.706470\pi\) |
0.521112 | + | 0.853488i | \(0.325517\pi\) | |||||||
\(614\) | −16.5336 | − | 42.1268i | −0.667240 | − | 1.70010i | ||||
\(615\) | 5.32445 | − | 14.0697i | 0.214702 | − | 0.567347i | ||||
\(616\) | 2.55631 | + | 5.28103i | 0.102997 | + | 0.212779i | ||||
\(617\) | −8.54499 | + | 1.28795i | −0.344008 | + | 0.0518509i | −0.318774 | − | 0.947831i | \(-0.603271\pi\) |
−0.0252341 | + | 0.999682i | \(0.508033\pi\) | |||||||
\(618\) | −38.4654 | + | 12.3819i | −1.54730 | + | 0.498071i | ||||
\(619\) | 37.9665 | 1.52600 | 0.763002 | − | 0.646396i | \(-0.223725\pi\) | ||||
0.763002 | + | 0.646396i | \(0.223725\pi\) | |||||||
\(620\) | 31.0446 | − | 4.67923i | 1.24678 | − | 0.187922i | ||||
\(621\) | −8.80567 | − | 3.84955i | −0.353359 | − | 0.154477i | ||||
\(622\) | 8.29167 | + | 3.99306i | 0.332466 | + | 0.160107i | ||||
\(623\) | −1.88453 | − | 6.06611i | −0.0755019 | − | 0.243034i | ||||
\(624\) | −4.67598 | − | 19.3912i | −0.187189 | − | 0.776269i | ||||
\(625\) | −3.46716 | − | 4.34769i | −0.138687 | − | 0.173907i | ||||
\(626\) | −26.6731 | − | 18.1854i | −1.06607 | − | 0.726836i | ||||
\(627\) | −14.9494 | + | 0.182732i | −0.597023 | + | 0.00729760i | ||||
\(628\) | 23.0384 | − | 15.7073i | 0.919334 | − | 0.626791i | ||||
\(629\) | −0.289550 | + | 1.26860i | −0.0115451 | + | 0.0505825i | ||||
\(630\) | −20.4983 | + | 45.6142i | −0.816671 | + | 1.81731i | ||||
\(631\) | −4.38605 | − | 19.2165i | −0.174606 | − | 0.764998i | −0.984063 | − | 0.177819i | \(-0.943096\pi\) |
0.809457 | − | 0.587179i | \(-0.199761\pi\) | |||||||
\(632\) | 6.26916 | + | 5.81693i | 0.249374 | + | 0.231385i | ||||
\(633\) | −8.94038 | + | 23.6248i | −0.355348 | + | 0.939000i | ||||
\(634\) | −14.2766 | + | 4.40373i | −0.566994 | + | 0.174895i | ||||
\(635\) | −13.3544 | + | 6.43113i | −0.529952 | + | 0.255211i | ||||
\(636\) | 15.0628 | + | 13.6374i | 0.597278 | + | 0.540759i | ||||
\(637\) | 5.98075 | + | 15.0602i | 0.236966 | + | 0.596706i | ||||
\(638\) | −21.9990 | −0.870950 | ||||||||
\(639\) | −22.8130 | − | 37.3728i | −0.902469 | − | 1.47845i | ||||
\(640\) | 28.3435 | + | 26.2989i | 1.12038 | + | 1.03956i | ||||
\(641\) | 4.07979 | − | 5.11589i | 0.161142 | − | 0.202066i | −0.694705 | − | 0.719295i | \(-0.744465\pi\) |
0.855847 | + | 0.517229i | \(0.173037\pi\) | |||||||
\(642\) | 2.62143 | − | 1.83459i | 0.103460 | − | 0.0724057i | ||||
\(643\) | −24.6314 | − | 7.59777i | −0.971366 | − | 0.299627i | −0.231840 | − | 0.972754i | \(-0.574474\pi\) |
−0.739527 | + | 0.673127i | \(0.764951\pi\) | |||||||
\(644\) | −3.18365 | + | 4.68980i | −0.125453 | + | 0.184804i | ||||
\(645\) | 60.8557 | + | 28.3956i | 2.39619 | + | 1.11807i | ||||
\(646\) | 3.64513 | − | 2.48521i | 0.143416 | − | 0.0977793i | ||||
\(647\) | −6.45086 | − | 1.98983i | −0.253610 | − | 0.0782282i | 0.165344 | − | 0.986236i | \(-0.447127\pi\) |
−0.418953 | + | 0.908008i | \(0.637603\pi\) | |||||||
\(648\) | 10.7385 | − | 8.11765i | 0.421850 | − | 0.318892i | ||||
\(649\) | 1.23280 | − | 3.14112i | 0.0483917 | − | 0.123300i | ||||
\(650\) | 25.7261 | + | 17.5398i | 1.00906 | + | 0.687967i | ||||
\(651\) | 34.2628 | + | 7.30874i | 1.34287 | + | 0.286452i | ||||
\(652\) | −20.5706 | + | 14.0248i | −0.805609 | + | 0.549255i | ||||
\(653\) | 1.46668 | + | 6.42593i | 0.0573955 | + | 0.251466i | 0.995484 | − | 0.0949296i | \(-0.0302626\pi\) |
−0.938088 | + | 0.346396i | \(0.887405\pi\) | |||||||
\(654\) | 50.1181 | − | 24.8948i | 1.95977 | − | 0.973462i | ||||
\(655\) | −23.4745 | −0.917223 | ||||||||
\(656\) | 6.09402 | + | 10.5552i | 0.237932 | + | 0.412110i | ||||
\(657\) | −3.67724 | − | 14.4710i | −0.143463 | − | 0.564566i | ||||
\(658\) | −13.7381 | + | 1.05733i | −0.535566 | + | 0.0412191i | ||||
\(659\) | 41.1844 | + | 6.20754i | 1.60431 | + | 0.241812i | 0.889309 | − | 0.457307i | \(-0.151186\pi\) |
0.715006 | + | 0.699118i | \(0.246424\pi\) | |||||||
\(660\) | −6.67548 | − | 8.16405i | −0.259843 | − | 0.317785i | ||||
\(661\) | 2.25793 | + | 30.1300i | 0.0878234 | + | 1.17192i | 0.850798 | + | 0.525493i | \(0.176119\pi\) |
−0.762974 | + | 0.646429i | \(0.776262\pi\) | |||||||
\(662\) | 1.29082 | + | 17.2247i | 0.0501690 | + | 0.669459i | ||||
\(663\) | 1.08219 | + | 1.32351i | 0.0420288 | + | 0.0514009i | ||||
\(664\) | 14.2728 | + | 2.15127i | 0.553891 | + | 0.0834856i | ||||
\(665\) | 47.2369 | − | 27.3992i | 1.83177 | − | 1.06249i | ||||
\(666\) | −11.6529 | + | 11.3549i | −0.451542 | + | 0.439992i | ||||
\(667\) | 7.72093 | + | 13.3730i | 0.298956 | + | 0.517806i | ||||
\(668\) | 9.12786 | 0.353167 | ||||||||
\(669\) | −32.1934 | + | 15.9912i | −1.24467 | + | 0.618254i | ||||
\(670\) | 6.45862 | + | 28.2971i | 0.249518 | + | 1.09321i | ||||
\(671\) | −6.64519 | + | 4.53061i | −0.256535 | + | 0.174902i | ||||
\(672\) | −11.9740 | − | 23.9847i | −0.461906 | − | 0.925231i | ||||
\(673\) | −26.4966 | − | 18.0651i | −1.02137 | − | 0.696357i | −0.0678511 | − | 0.997695i | \(-0.521614\pi\) |
−0.953517 | + | 0.301338i | \(0.902567\pi\) | |||||||
\(674\) | −9.25584 | + | 23.5835i | −0.356522 | + | 0.908403i | ||||
\(675\) | −7.33958 | + | 38.6358i | −0.282501 | + | 1.48709i | ||||
\(676\) | −8.45818 | − | 2.60900i | −0.325315 | − | 0.100346i | ||||
\(677\) | −19.6234 | + | 13.3790i | −0.754190 | + | 0.514198i | −0.878323 | − | 0.478068i | \(-0.841337\pi\) |
0.124133 | + | 0.992266i | \(0.460385\pi\) | |||||||
\(678\) | 37.3182 | + | 17.4129i | 1.43320 | + | 0.668737i | ||||
\(679\) | −7.56102 | − | 8.11602i | −0.290165 | − | 0.311464i | ||||
\(680\) | −2.16056 | − | 0.666443i | −0.0828535 | − | 0.0255569i | ||||
\(681\) | −20.0281 | + | 14.0166i | −0.767480 | + | 0.537116i | ||||
\(682\) | −12.5593 | + | 15.7489i | −0.480922 | + | 0.603057i | ||||
\(683\) | 31.9614 | + | 29.6558i | 1.22297 | + | 1.13475i | 0.986613 | + | 0.163081i | \(0.0521432\pi\) |
0.236355 | + | 0.971667i | \(0.424047\pi\) | |||||||
\(684\) | 20.2258 | − | 0.494527i | 0.773354 | − | 0.0189087i | ||||
\(685\) | −44.4053 | −1.69664 | ||||||||
\(686\) | 18.7049 | + | 27.0823i | 0.714156 | + | 1.03401i | ||||
\(687\) | −9.81277 | − | 8.88421i | −0.374381 | − | 0.338954i | ||||
\(688\) | −49.0196 | + | 23.6066i | −1.86885 | + | 0.899993i | ||||
\(689\) | 22.4022 | − | 6.91017i | 0.853457 | − | 0.263257i | ||||
\(690\) | −7.14357 | + | 18.8767i | −0.271951 | + | 0.718625i | ||||
\(691\) | 17.2937 | + | 16.0462i | 0.657884 | + | 0.610427i | 0.936790 | − | 0.349891i | \(-0.113781\pi\) |
−0.278906 | + | 0.960318i | \(0.589972\pi\) | |||||||
\(692\) | 1.83106 | + | 8.02239i | 0.0696064 | + | 0.304966i | ||||
\(693\) | −3.76493 | − | 11.1494i | −0.143018 | − | 0.423531i | ||||
\(694\) | 11.6876 | − | 51.2069i | 0.443657 | − | 1.94379i | ||||
\(695\) | −43.5259 | + | 29.6755i | −1.65103 | + | 1.12566i | ||||
\(696\) | −21.6283 | + | 0.264369i | −0.819819 | + | 0.0100209i | ||||
\(697\) | −0.863103 | − | 0.588454i | −0.0326924 | − | 0.0222893i | ||||
\(698\) | −20.2283 | − | 25.3655i | −0.765654 | − | 0.960099i | ||||
\(699\) | 10.2942 | + | 42.6898i | 0.389363 | + | 1.61468i | ||||
\(700\) | 21.6091 | + | 8.43079i | 0.816747 | + | 0.318654i | ||||
\(701\) | 2.29032 | + | 1.10296i | 0.0865044 | + | 0.0416583i | 0.476636 | − | 0.879101i | \(-0.341856\pi\) |
−0.390131 | + | 0.920759i | \(0.627570\pi\) | |||||||
\(702\) | 2.37791 | + | 21.2442i | 0.0897483 | + | 0.801812i | ||||
\(703\) | 17.5684 | − | 2.64802i | 0.662606 | − | 0.0998718i | ||||
\(704\) | 0.661926 | 0.0249473 | ||||||||
\(705\) | −17.1285 | + | 5.51360i | −0.645097 | + | 0.207654i | ||||
\(706\) | −17.5878 | + | 2.65093i | −0.661925 | + | 0.0997691i | ||||
\(707\) | 0.0690117 | + | 34.2915i | 0.00259545 | + | 1.28966i | ||||
\(708\) | −1.61621 | + | 4.27081i | −0.0607410 | + | 0.160507i | ||||
\(709\) | 11.1817 | + | 28.4906i | 0.419939 | + | 1.06999i | 0.971749 | + | 0.236017i | \(0.0758420\pi\) |
−0.551810 | + | 0.833970i | \(0.686063\pi\) | |||||||
\(710\) | −75.9776 | + | 51.8007i | −2.85139 | + | 1.94404i | ||||
\(711\) | −11.0194 | − | 13.1455i | −0.413261 | − | 0.492993i | ||||
\(712\) | 3.55093 | + | 0.535216i | 0.133077 | + | 0.0200581i | ||||
\(713\) | 13.9815 | + | 2.10738i | 0.523613 | + | 0.0789220i | ||||
\(714\) | 2.74551 | + | 2.12624i | 0.102748 | + | 0.0795726i | ||||
\(715\) | −12.0316 | + | 1.81347i | −0.449957 | + | 0.0678200i | ||||
\(716\) | 22.0404 | 0.823689 | ||||||||
\(717\) | −9.68499 | + | 3.11756i | −0.361692 | + | 0.116427i | ||||
\(718\) | −14.7552 | − | 18.5024i | −0.550660 | − | 0.690505i | ||||
\(719\) | 9.67987 | − | 8.98160i | 0.360998 | − | 0.334957i | −0.478732 | − | 0.877961i | \(-0.658904\pi\) |
0.839730 | + | 0.543004i | \(0.182713\pi\) | |||||||
\(720\) | −33.9909 | − | 40.5489i | −1.26677 | − | 1.51117i | ||||
\(721\) | 0.0698991 | + | 34.7324i | 0.00260318 | + | 1.29350i | ||||
\(722\) | −21.8713 | − | 14.9116i | −0.813965 | − | 0.554952i | ||||
\(723\) | −0.0493871 | + | 0.788188i | −0.00183672 | + | 0.0293130i | ||||
\(724\) | −7.51179 | − | 5.12145i | −0.279174 | − | 0.190337i | ||||
\(725\) | 46.3216 | − | 42.9802i | 1.72034 | − | 1.59624i | ||||
\(726\) | −26.8383 | − | 3.71033i | −0.996062 | − | 0.137703i | ||||
\(727\) | 39.5689 | − | 12.2054i | 1.46753 | − | 0.452673i | 0.544946 | − | 0.838471i | \(-0.316550\pi\) |
0.922583 | + | 0.385798i | \(0.126074\pi\) | |||||||
\(728\) | −9.13651 | − | 0.666199i | −0.338622 | − | 0.0246910i | ||||
\(729\) | −23.4024 | + | 13.4658i | −0.866756 | + | 0.498732i | ||||
\(730\) | −29.9640 | + | 9.24268i | −1.10902 | + | 0.342087i | ||||
\(731\) | 2.90745 | − | 3.64583i | 0.107536 | − | 0.134846i | ||||
\(732\) | 8.91701 | − | 6.24052i | 0.329582 | − | 0.230656i | ||||
\(733\) | 15.6127 | − | 7.51869i | 0.576669 | − | 0.277709i | −0.122731 | − | 0.992440i | \(-0.539165\pi\) |
0.699400 | + | 0.714731i | \(0.253451\pi\) | |||||||
\(734\) | 16.3020 | − | 28.2359i | 0.601718 | − | 1.04221i | ||||
\(735\) | 31.9798 | + | 28.7203i | 1.17959 | + | 1.05936i | ||||
\(736\) | −5.40971 | − | 9.36989i | −0.199405 | − | 0.345379i | ||||
\(737\) | −5.64328 | − | 3.84752i | −0.207873 | − | 0.141725i | ||||
\(738\) | −5.06776 | − | 12.0386i | −0.186547 | − | 0.443145i | ||||
\(739\) | 12.5965 | + | 32.0953i | 0.463368 | + | 1.18064i | 0.951438 | + | 0.307839i | \(0.0996059\pi\) |
−0.488070 | + | 0.872805i | \(0.662299\pi\) | |||||||
\(740\) | 9.18687 | + | 8.52417i | 0.337716 | + | 0.313355i | ||||
\(741\) | 11.4236 | − | 20.3569i | 0.419656 | − | 0.747828i | ||||
\(742\) | 41.1909 | − | 23.8923i | 1.51217 | − | 0.877113i | ||||
\(743\) | −25.7853 | − | 23.9252i | −0.945970 | − | 0.877732i | 0.0466610 | − | 0.998911i | \(-0.485142\pi\) |
−0.992631 | + | 0.121179i | \(0.961332\pi\) | |||||||
\(744\) | −12.1584 | + | 15.6344i | −0.445749 | + | 0.573186i | ||||
\(745\) | −11.4027 | − | 49.9587i | −0.417764 | − | 1.83034i | ||||
\(746\) | 0.405109 | − | 5.40580i | 0.0148321 | − | 0.197920i | ||||
\(747\) | −27.8646 | − | 7.85455i | −1.01951 | − | 0.287383i | ||||
\(748\) | −0.659776 | + | 0.317732i | −0.0241238 | + | 0.0116174i | ||||
\(749\) | −0.815909 | − | 2.62633i | −0.0298127 | − | 0.0959642i | ||||
\(750\) | 27.7646 | + | 3.83840i | 1.01382 | + | 0.140158i | ||||
\(751\) | 3.87337 | + | 16.9703i | 0.141341 | + | 0.619257i | 0.995124 | + | 0.0986278i | \(0.0314453\pi\) |
−0.853783 | + | 0.520629i | \(0.825698\pi\) | |||||||
\(752\) | 5.32613 | − | 13.5708i | 0.194224 | − | 0.494875i | ||||
\(753\) | −9.01981 | − | 8.16629i | −0.328700 | − | 0.297596i | ||||
\(754\) | 17.1741 | − | 29.7465i | 0.625445 | − | 1.08330i | ||||
\(755\) | 9.07109 | + | 11.3748i | 0.330131 | + | 0.413971i | ||||
\(756\) | 5.27893 | + | 15.0246i | 0.191993 | + | 0.546439i | ||||
\(757\) | −19.1184 | + | 23.9737i | −0.694871 | + | 0.871340i | −0.996629 | − | 0.0820444i | \(-0.973855\pi\) |
0.301758 | + | 0.953385i | \(0.402426\pi\) | |||||||
\(758\) | −3.13930 | − | 7.99880i | −0.114024 | − | 0.290530i | ||||
\(759\) | −1.78909 | − | 4.39964i | −0.0649400 | − | 0.159697i | ||||
\(760\) | 2.30704 | + | 30.7853i | 0.0836851 | + | 1.11670i | ||||
\(761\) | −17.9115 | + | 22.4603i | −0.649292 | + | 0.814186i | −0.992131 | − | 0.125208i | \(-0.960040\pi\) |
0.342839 | + | 0.939394i | \(0.388612\pi\) | |||||||
\(762\) | −4.55502 | + | 12.0366i | −0.165011 | + | 0.436038i | ||||
\(763\) | −7.26452 | − | 47.5475i | −0.262993 | − | 1.72133i | ||||
\(764\) | 12.0321 | + | 15.0878i | 0.435307 | + | 0.545857i | ||||
\(765\) | 4.13271 | + | 1.86718i | 0.149418 | + | 0.0675079i | ||||
\(766\) | −10.0191 | + | 17.3536i | −0.362006 | + | 0.627013i | ||||
\(767\) | 3.28492 | + | 4.11916i | 0.118612 | + | 0.148734i | ||||
\(768\) | 35.1154 | − | 0.429227i | 1.26712 | − | 0.0154884i | ||||
\(769\) | −36.6926 | + | 25.0166i | −1.32317 | + | 0.902121i | −0.999036 | − | 0.0438903i | \(-0.986025\pi\) |
−0.324133 | + | 0.946012i | \(0.605072\pi\) | |||||||
\(770\) | −22.9878 | + | 9.07549i | −0.828424 | + | 0.327058i | ||||
\(771\) | 26.6716 | + | 7.87139i | 0.960553 | + | 0.283481i | ||||
\(772\) | −27.0927 | + | 4.08357i | −0.975088 | + | 0.146971i | ||||
\(773\) | 0.538677 | − | 7.18815i | 0.0193749 | − | 0.258540i | −0.979102 | − | 0.203369i | \(-0.934811\pi\) |
0.998477 | − | 0.0551704i | \(-0.0175702\pi\) | |||||||
\(774\) | 55.2806 | − | 18.5433i | 1.98702 | − | 0.666525i | ||||
\(775\) | −4.32392 | − | 57.6987i | −0.155320 | − | 2.07260i | ||||
\(776\) | 5.99222 | − | 1.84835i | 0.215108 | − | 0.0663521i | ||||
\(777\) | 6.24648 | + | 12.5121i | 0.224091 | + | 0.448871i | ||||
\(778\) | −48.8638 | − | 15.0725i | −1.75185 | − | 0.540374i | ||||
\(779\) | −3.17385 | + | 13.9055i | −0.113715 | + | 0.498218i | ||||
\(780\) | 16.2506 | − | 2.65291i | 0.581864 | − | 0.0949893i | ||||
\(781\) | 4.81514 | − | 21.0965i | 0.172299 | − | 0.754892i | ||||
\(782\) | 1.15799 | + | 0.789502i | 0.0414095 | + | 0.0282325i | ||||
\(783\) | 43.1071 | + | 4.88896i | 1.54052 | + | 0.174717i | ||||
\(784\) | −34.4143 | + | 5.32887i | −1.22908 | + | 0.190317i | ||||
\(785\) | −42.6688 | − | 73.9045i | −1.52291 | − | 2.63776i | ||||
\(786\) | −14.7705 | + | 14.0449i | −0.526847 | + | 0.500964i | ||||
\(787\) | 7.63300 | − | 2.35447i | 0.272087 | − | 0.0839277i | −0.155709 | − | 0.987803i | \(-0.549766\pi\) |
0.427796 | + | 0.903875i | \(0.359290\pi\) | |||||||
\(788\) | 19.0056 | + | 2.86463i | 0.677045 | + | 0.102048i | ||||
\(789\) | −14.9427 | + | 10.4575i | −0.531973 | + | 0.372298i | ||||
\(790\) | −26.4077 | + | 24.5027i | −0.939543 | + | 0.871768i | ||||
\(791\) | 24.0230 | − | 25.9953i | 0.854159 | − | 0.924288i | ||||
\(792\) | 6.60074 | + | 0.830451i | 0.234547 | + | 0.0295088i | ||||
\(793\) | −0.938423 | − | 12.5224i | −0.0333244 | − | 0.444683i | ||||
\(794\) | 8.34095 | + | 36.5441i | 0.296009 | + | 1.29690i | ||||
\(795\) | 45.0657 | − | 42.8517i | 1.59832 | − | 1.51979i | ||||
\(796\) | −13.2128 | − | 16.5684i | −0.468316 | − | 0.587250i | ||||
\(797\) | 3.71743 | − | 49.6057i | 0.131678 | − | 1.75712i | −0.405906 | − | 0.913915i | \(-0.633044\pi\) |
0.537585 | − | 0.843210i | \(-0.319337\pi\) | |||||||
\(798\) | 13.3292 | − | 45.5021i | 0.471849 | − | 1.61076i | ||||
\(799\) | 0.0933753 | + | 1.24601i | 0.00330338 | + | 0.0440806i | ||||
\(800\) | −32.4555 | + | 30.1143i | −1.14747 | + | 1.06470i | ||||
\(801\) | −6.93245 | − | 1.95414i | −0.244946 | − | 0.0690461i | ||||
\(802\) | 6.04617 | − | 10.4723i | 0.213498 | − | 0.369789i | ||||
\(803\) | 3.68947 | − | 6.39035i | 0.130198 | − | 0.225510i | ||||
\(804\) | 7.69985 | + | 5.11294i | 0.271553 | + | 0.180320i | ||||
\(805\) | 13.5849 | + | 10.7889i | 0.478804 | + | 0.380260i | ||||
\(806\) | −11.4905 | − | 29.2772i | −0.404734 | − | 1.03125i | ||||
\(807\) | 16.5447 | − | 43.7190i | 0.582400 | − | 1.53898i | ||||
\(808\) | −17.4663 | − | 8.41131i | −0.614461 | − | 0.295909i | ||||
\(809\) | 25.0437 | − | 17.0745i | 0.880489 | − | 0.600308i | −0.0364493 | − | 0.999336i | \(-0.511605\pi\) |
0.916939 | + | 0.399028i | \(0.130652\pi\) | |||||||
\(810\) | 30.7181 | + | 47.6630i | 1.07933 | + | 1.67471i | ||||
\(811\) | −26.8484 | + | 33.6668i | −0.942775 | + | 1.18220i | 0.0403351 | + | 0.999186i | \(0.487157\pi\) |
−0.983110 | + | 0.183016i | \(0.941414\pi\) | |||||||
\(812\) | 7.49303 | − | 24.4665i | 0.262954 | − | 0.858606i | ||||
\(813\) | 9.62771 | − | 4.78230i | 0.337659 | − | 0.167722i | ||||
\(814\) | −8.04091 | −0.281834 | ||||||||
\(815\) | 38.0982 | + | 65.9881i | 1.33452 | + | 2.31146i | ||||
\(816\) | −3.29055 | + | 1.63449i | −0.115192 | + | 0.0572186i | ||||
\(817\) | −60.8422 | − | 18.7673i | −2.12860 | − | 0.656586i | ||||
\(818\) | 0.830337 | + | 0.399869i | 0.0290320 | + | 0.0139811i | ||||
\(819\) | 18.0151 | + | 3.61326i | 0.629499 | + | 0.126257i | ||||
\(820\) | −9.06456 | + | 4.36526i | −0.316548 | + | 0.152442i | ||||
\(821\) | −5.88175 | + | 0.886532i | −0.205275 | + | 0.0309402i | −0.250875 | − | 0.968020i | \(-0.580718\pi\) |
0.0455999 | + | 0.998960i | \(0.485480\pi\) | |||||||
\(822\) | −27.9405 | + | 26.5679i | −0.974538 | + | 0.926661i | ||||
\(823\) | −2.70588 | + | 2.51069i | −0.0943211 | + | 0.0875172i | −0.725924 | − | 0.687775i | \(-0.758588\pi\) |
0.631603 | + | 0.775292i | \(0.282397\pi\) | |||||||
\(824\) | −17.6908 | − | 8.51946i | −0.616290 | − | 0.296790i | ||||
\(825\) | −15.9234 | + | 11.1439i | −0.554381 | + | 0.387980i | ||||
\(826\) | 8.38019 | + | 6.65543i | 0.291584 | + | 0.231572i | ||||
\(827\) | −1.21078 | − | 5.30477i | −0.0421029 | − | 0.184465i | 0.949504 | − | 0.313755i | \(-0.101587\pi\) |
−0.991607 | + | 0.129290i | \(0.958730\pi\) | |||||||
\(828\) | 2.49369 | + | 5.92379i | 0.0866615 | + | 0.205866i | ||||
\(829\) | −12.1753 | − | 31.0221i | −0.422865 | − | 1.07744i | −0.970580 | − | 0.240777i | \(-0.922598\pi\) |
0.547716 | − | 0.836664i | \(-0.315498\pi\) | |||||||
\(830\) | −13.5294 | + | 59.2760i | −0.469611 | + | 2.05750i | ||||
\(831\) | −25.5551 | − | 7.54189i | −0.886496 | − | 0.261625i | ||||
\(832\) | −0.516751 | + | 0.895038i | −0.0179151 | + | 0.0310299i | ||||
\(833\) | 2.45932 | − | 1.69128i | 0.0852105 | − | 0.0585993i | ||||
\(834\) | −9.63227 | + | 44.7141i | −0.333538 | + | 1.54832i | ||||
\(835\) | 2.08765 | − | 27.8577i | 0.0722460 | − | 0.964056i | ||||
\(836\) | 7.32959 | + | 6.80086i | 0.253499 | + | 0.235213i | ||||
\(837\) | 28.1100 | − | 28.0689i | 0.971623 | − | 0.970202i | ||||
\(838\) | −0.862273 | + | 0.265976i | −0.0297867 | + | 0.00918799i | ||||
\(839\) | 10.7740 | − | 9.99677i | 0.371958 | − | 0.345127i | −0.471940 | − | 0.881631i | \(-0.656446\pi\) |
0.843898 | + | 0.536504i | \(0.180255\pi\) | |||||||
\(840\) | −22.4914 | + | 9.19879i | −0.776026 | + | 0.317389i | ||||
\(841\) | −29.8413 | − | 27.6887i | −1.02901 | − | 0.954783i | ||||
\(842\) | 34.9951 | + | 16.8527i | 1.20601 | + | 0.580784i | ||||
\(843\) | 32.5882 | − | 0.398336i | 1.12240 | − | 0.0137194i | ||||
\(844\) | 15.2205 | − | 7.32979i | 0.523910 | − | 0.252302i | ||||
\(845\) | −9.89702 | + | 25.2172i | −0.340468 | + | 0.867498i | ||||
\(846\) | −7.47873 | + | 13.7173i | −0.257124 | + | 0.471611i | ||||
\(847\) | −10.0618 | + | 21.0016i | −0.345728 | + | 0.721623i | ||||
\(848\) | 3.76511 | + | 50.2419i | 0.129294 | + | 1.72531i | ||||
\(849\) | −30.3527 | + | 0.371010i | −1.04170 | + | 0.0127330i | ||||
\(850\) | 2.09530 | − | 5.33873i | 0.0718681 | − | 0.183117i | ||||
\(851\) | 2.82209 | + | 4.88801i | 0.0967401 | + | 0.167559i | ||||
\(852\) | −6.16667 | + | 28.6264i | −0.211267 | + | 0.980724i | ||||
\(853\) | 1.53799 | − | 3.91872i | 0.0526596 | − | 0.134174i | −0.902123 | − | 0.431478i | \(-0.857992\pi\) |
0.954783 | + | 0.297304i | \(0.0960874\pi\) | |||||||
\(854\) | −7.56724 | − | 24.3582i | −0.258946 | − | 0.833522i | ||||
\(855\) | 3.11662 | − | 61.8412i | 0.106586 | − | 2.11493i | ||||
\(856\) | 1.53738 | + | 0.231723i | 0.0525466 | + | 0.00792013i | ||||
\(857\) | −40.8423 | − | 19.6686i | −1.39515 | − | 0.671867i | −0.422975 | − | 0.906141i | \(-0.639014\pi\) |
−0.972171 | + | 0.234274i | \(0.924729\pi\) | |||||||
\(858\) | −6.48548 | + | 8.33963i | −0.221410 | + | 0.284710i | ||||
\(859\) | 20.9003 | − | 26.2082i | 0.713111 | − | 0.894212i | −0.284815 | − | 0.958582i | \(-0.591932\pi\) |
0.997926 | + | 0.0643699i | \(0.0205038\pi\) | |||||||
\(860\) | −16.4082 | − | 41.8074i | −0.559515 | − | 1.42562i | ||||
\(861\) | −11.1824 | + | 0.998262i | −0.381094 | + | 0.0340207i | ||||
\(862\) | −14.2443 | + | 36.2940i | −0.485164 | + | 1.23618i | ||||
\(863\) | −21.5118 | − | 37.2595i | −0.732270 | − | 1.26833i | −0.955911 | − | 0.293657i | \(-0.905128\pi\) |
0.223641 | − | 0.974672i | \(-0.428206\pi\) | |||||||
\(864\) | −30.2032 | − | 3.42547i | −1.02753 | − | 0.116537i | ||||
\(865\) | 24.9027 | − | 3.75348i | 0.846717 | − | 0.127622i | ||||
\(866\) | 16.1190 | + | 4.97207i | 0.547748 | + | 0.168958i | ||||
\(867\) | −17.8825 | + | 22.9950i | −0.607322 | + | 0.780951i | ||||
\(868\) | −13.2375 | − | 19.3322i | −0.449312 | − | 0.656178i | ||||
\(869\) | 0.633502 | − | 8.45350i | 0.0214901 | − | 0.286765i | ||||
\(870\) | 5.69780 | − | 90.9336i | 0.193174 | − | 3.08294i | ||||
\(871\) | 9.60809 | − | 4.62701i | 0.325558 | − | 0.156780i | ||||
\(872\) | 25.9839 | + | 8.01498i | 0.879927 | + | 0.271421i | ||||
\(873\) | −12.3875 | + | 2.17801i | −0.419252 | + | 0.0737145i | ||||
\(874\) | 4.25821 | − | 18.6564i | 0.144036 | − | 0.631063i | ||||
\(875\) | 10.4091 | − | 21.7265i | 0.351892 | − | 0.734488i | ||||
\(876\) | −4.88671 | + | 8.70813i | −0.165107 | + | 0.294220i | ||||
\(877\) | −9.73030 | + | 42.6312i | −0.328569 | + | 1.43955i | 0.493291 | + | 0.869864i | \(0.335794\pi\) |
−0.821860 | + | 0.569689i | \(0.807063\pi\) | |||||||
\(878\) | −58.5319 | − | 8.82227i | −1.97536 | − | 0.297737i | ||||
\(879\) | −0.138899 | − | 1.59210i | −0.00468495 | − | 0.0537001i | ||||
\(880\) | 1.95412 | − | 26.0760i | 0.0658735 | − | 0.879021i | ||||
\(881\) | 39.8314 | 1.34195 | 0.670977 | − | 0.741478i | \(-0.265875\pi\) | ||||
0.670977 | + | 0.741478i | \(0.265875\pi\) | |||||||
\(882\) | 37.3057 | − | 1.06239i | 1.25615 | − | 0.0357727i | ||||
\(883\) | 6.93919 | 0.233522 | 0.116761 | − | 0.993160i | \(-0.462749\pi\) | ||||
0.116761 | + | 0.993160i | \(0.462749\pi\) | |||||||
\(884\) | 0.0854444 | − | 1.14018i | 0.00287381 | − | 0.0383483i | ||||
\(885\) | 12.6646 | + | 5.90937i | 0.425717 | + | 0.198641i | ||||
\(886\) | −16.7373 | − | 2.52275i | −0.562302 | − | 0.0847534i | ||||
\(887\) | −1.61400 | + | 7.07141i | −0.0541929 | + | 0.237435i | −0.994769 | − | 0.102148i | \(-0.967429\pi\) |
0.940576 | + | 0.339582i | \(0.110286\pi\) | |||||||
\(888\) | −7.90540 | + | 0.0966301i | −0.265288 | + | 0.00324269i | ||||
\(889\) | 8.66225 | + | 6.87944i | 0.290523 | + | 0.230729i | ||||
\(890\) | −3.36598 | + | 14.7473i | −0.112828 | + | 0.494331i | ||||
\(891\) | −12.9277 | − | 3.30524i | −0.433096 | − | 0.110730i | ||||
\(892\) | 22.9723 | + | 7.08602i | 0.769169 | + | 0.237257i | ||||
\(893\) | 15.3711 | − | 7.40232i | 0.514374 | − | 0.247709i | ||||
\(894\) | −37.0653 | − | 24.6125i | −1.23965 | − | 0.823165i | ||||
\(895\) | 5.04090 | − | 67.2661i | 0.168499 | − | 2.24846i | ||||
\(896\) | 8.44978 | − | 27.5905i | 0.282287 | − | 0.921734i | ||||
\(897\) | 7.34578 | + | 1.01554i | 0.245268 | + | 0.0339078i | ||||
\(898\) | −10.7750 | − | 3.32365i | −0.359566 | − | 0.110912i | ||||
\(899\) | −63.1161 | + | 9.51323i | −2.10504 | + | 0.317284i | ||||
\(900\) | 21.3624 | − | 15.3427i | 0.712081 | − | 0.511425i | ||||
\(901\) | −2.15911 | − | 3.73969i | −0.0719305 | − | 0.124587i | ||||
\(902\) | 2.35835 | − | 6.00897i | 0.0785244 | − | 0.200077i | ||||
\(903\) | −0.713398 | − | 50.1117i | −0.0237404 | − | 1.66761i | ||||
\(904\) | 7.31059 | + | 18.6271i | 0.243147 | + | 0.619528i | ||||
\(905\) | −17.3484 | + | 21.7542i | −0.576681 | + | 0.723135i | ||||
\(906\) | 12.5133 | + | 1.72993i | 0.415725 | + | 0.0574731i | ||||
\(907\) | 30.3259 | + | 14.6042i | 1.00695 | + | 0.484923i | 0.863293 | − | 0.504704i | \(-0.168398\pi\) |
0.143661 | + | 0.989627i | \(0.454113\pi\) | |||||||
\(908\) | 16.1663 | + | 2.43668i | 0.536498 | + | 0.0808641i | ||||
\(909\) | 32.6524 | + | 21.1118i | 1.08301 | + | 0.700233i | ||||
\(910\) | 5.67444 | − | 38.1685i | 0.188106 | − | 1.26527i | ||||
\(911\) | −11.7930 | + | 30.0481i | −0.390720 | + | 0.995539i | 0.591247 | + | 0.806490i | \(0.298636\pi\) |
−0.981968 | + | 0.189049i | \(0.939459\pi\) | |||||||
\(912\) | 37.1889 | + | 33.6699i | 1.23145 | + | 1.11492i | ||||
\(913\) | −7.15376 | − | 12.3907i | −0.236755 | − | 0.410071i | ||||
\(914\) | −7.52529 | + | 19.1741i | −0.248915 | + | 0.634224i | ||||
\(915\) | −17.0063 | − | 28.6415i | −0.562211 | − | 0.946859i | ||||
\(916\) | 0.661568 | + | 8.82801i | 0.0218588 | + | 0.291686i | ||||
\(917\) | 7.63287 | + | 15.7686i | 0.252059 | + | 0.520723i | ||||
\(918\) | 3.71751 | − | 1.29776i | 0.122696 | − | 0.0428325i | ||||
\(919\) | −9.05993 | + | 23.0843i | −0.298859 | + | 0.761481i | 0.700019 | + | 0.714125i | \(0.253175\pi\) |
−0.998878 | + | 0.0473568i | \(0.984920\pi\) | |||||||
\(920\) | −8.83608 | + | 4.25523i | −0.291317 | + | 0.140291i | ||||
\(921\) | −21.5844 | + | 38.4635i | −0.711232 | + | 1.26742i | ||||
\(922\) | 4.24014 | + | 2.04194i | 0.139641 | + | 0.0672478i | ||||
\(923\) | 24.7670 | + | 22.9804i | 0.815216 | + | 0.756410i | ||||
\(924\) | −3.31348 | + | 7.13872i | −0.109006 | + | 0.234847i | ||||
\(925\) | 16.9311 | − | 15.7098i | 0.556691 | − | 0.516534i | ||||
\(926\) | 52.2387 | − | 16.1135i | 1.71667 | − | 0.529523i | ||||
\(927\) | 33.0723 | + | 21.3832i | 1.08624 | + | 0.702317i | ||||
\(928\) | 35.8034 | + | 33.2207i | 1.17530 | + | 1.09052i | ||||
\(929\) | 1.43447 | − | 19.1417i | 0.0470634 | − | 0.628018i | −0.922943 | − | 0.384937i | \(-0.874223\pi\) |
0.970006 | − | 0.243080i | \(-0.0781579\pi\) | |||||||
\(930\) | −61.8456 | − | 55.9934i | −2.02800 | − | 1.83609i | ||||
\(931\) | −33.7643 | − | 22.8216i | −1.10658 | − | 0.747946i | ||||
\(932\) | 14.6844 | − | 25.4341i | 0.481002 | − | 0.833120i | ||||
\(933\) | −2.10260 | − | 8.71943i | −0.0688360 | − | 0.285461i | ||||
\(934\) | 13.0343 | − | 57.1071i | 0.426496 | − | 1.86860i | ||||
\(935\) | 0.818800 | + | 2.08627i | 0.0267776 | + | 0.0682283i | ||||
\(936\) | −6.27596 | + | 8.27702i | −0.205136 | + | 0.270543i | ||||
\(937\) | −4.41786 | − | 19.3559i | −0.144325 | − | 0.632330i | −0.994401 | − | 0.105670i | \(-0.966301\pi\) |
0.850076 | − | 0.526660i | \(-0.176556\pi\) | |||||||
\(938\) | 16.9080 | − | 13.5394i | 0.552065 | − | 0.442078i | ||||
\(939\) | 2.73452 | + | 31.3437i | 0.0892376 | + | 1.02286i | ||||
\(940\) | 10.8424 | + | 5.22143i | 0.353641 | + | 0.170304i | ||||
\(941\) | 17.3915 | − | 16.1369i | 0.566946 | − | 0.526049i | −0.343785 | − | 0.939048i | \(-0.611709\pi\) |
0.910731 | + | 0.412999i | \(0.135519\pi\) | |||||||
\(942\) | −71.0653 | − | 20.9730i | −2.31543 | − | 0.683337i | ||||
\(943\) | −4.48051 | + | 0.675328i | −0.145905 | + | 0.0219917i | ||||
\(944\) | −10.2014 | + | 4.91274i | −0.332028 | + | 0.159896i | ||||
\(945\) | 47.0615 | − | 12.6747i | 1.53091 | − | 0.412309i | ||||
\(946\) | 25.9624 | + | 12.5028i | 0.844111 | + | 0.406502i | ||||
\(947\) | 17.6681 | + | 5.44988i | 0.574135 | + | 0.177097i | 0.568208 | − | 0.822885i | \(-0.307637\pi\) |
0.00592749 | + | 0.999982i | \(0.498113\pi\) | |||||||
\(948\) | −0.717404 | + | 11.4493i | −0.0233002 | + | 0.371858i | ||||
\(949\) | 5.76056 | + | 9.97759i | 0.186996 | + | 0.323886i | ||||
\(950\) | −78.3078 | −2.54064 | ||||||||
\(951\) | 12.1301 | + | 8.05480i | 0.393347 | + | 0.261195i | ||||
\(952\) | 0.254847 | + | 1.66801i | 0.00825963 | + | 0.0540606i | ||||
\(953\) | −14.9010 | + | 18.6853i | −0.482691 | + | 0.605275i | −0.962228 | − | 0.272247i | \(-0.912233\pi\) |
0.479537 | + | 0.877522i | \(0.340805\pi\) | |||||||
\(954\) | 2.71771 | − | 53.9260i | 0.0879892 | − | 1.74592i | ||||
\(955\) | 48.7990 | − | 33.2706i | 1.57910 | − | 1.07661i | ||||
\(956\) | 6.13063 | + | 2.95236i | 0.198279 | + | 0.0954861i | ||||
\(957\) | 13.5718 | + | 16.5981i | 0.438712 | + | 0.536542i | ||||
\(958\) | 3.12015 | + | 7.95002i | 0.100808 | + | 0.256854i | ||||
\(959\) | 14.4387 | + | 29.8285i | 0.466248 | + | 0.963211i | ||||
\(960\) | −0.171440 | + | 2.73609i | −0.00553322 | + | 0.0883069i | ||||
\(961\) | −13.7228 | + | 23.7686i | −0.442671 | + | 0.766729i | ||||
\(962\) | 6.27736 | − | 10.8727i | 0.202390 | − | 0.350550i | ||||
\(963\) | −3.00142 | − | 0.846048i | −0.0967193 | − | 0.0272635i | ||||
\(964\) | 0.387171 | − | 0.359242i | 0.0124699 | − | 0.0115704i | ||||
\(965\) | 6.26641 | + | 83.6194i | 0.201723 | + | 2.69180i | ||||
\(966\) | 15.0029 | − | 1.33932i | 0.482710 | − | 0.0430920i | ||||
\(967\) | −3.70828 | + | 49.4836i | −0.119250 | + | 1.59129i | 0.541513 | + | 0.840692i | \(0.317852\pi\) |
−0.660764 | + | 0.750594i | \(0.729767\pi\) | |||||||
\(968\) | −8.20833 | − | 10.2929i | −0.263826 | − | 0.330827i | ||||
\(969\) | −4.12385 | − | 1.21704i | −0.132477 | − | 0.0390970i | ||||
\(970\) | 5.87781 | + | 25.7524i | 0.188725 | + | 0.826858i | ||||
\(971\) | −3.34951 | − | 44.6961i | −0.107491 | − | 1.43436i | −0.746612 | − | 0.665259i | \(-0.768321\pi\) |
0.639122 | − | 0.769106i | \(-0.279298\pi\) | |||||||
\(972\) | 17.5479 | + | 4.25867i | 0.562848 | + | 0.136597i | ||||
\(973\) | 34.0867 | + | 19.5886i | 1.09277 | + | 0.627982i | ||||
\(974\) | 7.54593 | − | 7.00160i | 0.241787 | − | 0.224346i | ||||
\(975\) | −2.63743 | − | 30.2309i | −0.0844655 | − | 0.968165i | ||||
\(976\) | 26.6858 | + | 4.02224i | 0.854191 | + | 0.128749i | ||||
\(977\) | 32.5993 | − | 10.0555i | 1.04294 | − | 0.321705i | 0.274476 | − | 0.961594i | \(-0.411496\pi\) |
0.768468 | + | 0.639889i | \(0.221020\pi\) | |||||||
\(978\) | 63.4530 | + | 18.7264i | 2.02900 | + | 0.598806i | ||||
\(979\) | −1.77979 | − | 3.08268i | −0.0568822 | − | 0.0985229i | ||||
\(980\) | −2.26360 | − | 28.6574i | −0.0723081 | − | 0.915426i | ||||
\(981\) | −49.7020 | − | 22.4556i | −1.58686 | − | 0.716952i | ||||
\(982\) | 35.7923 | + | 24.4028i | 1.14218 | + | 0.778724i | ||||
\(983\) | 10.5097 | − | 46.0460i | 0.335207 | − | 1.46864i | −0.473691 | − | 0.880691i | \(-0.657079\pi\) |
0.808898 | − | 0.587949i | \(-0.200064\pi\) | |||||||
\(984\) | 2.24639 | − | 5.93605i | 0.0716124 | − | 0.189234i | ||||
\(985\) | 13.0895 | − | 57.3488i | 0.417066 | − | 1.82728i | ||||
\(986\) | −6.04570 | − | 1.86485i | −0.192534 | − | 0.0593890i | ||||
\(987\) | 9.27310 | + | 9.71299i | 0.295166 | + | 0.309168i | ||||
\(988\) | −14.9180 | + | 4.60159i | −0.474604 | + | 0.146396i | ||||
\(989\) | −1.51156 | − | 20.1704i | −0.0480649 | − | 0.641382i | ||||
\(990\) | −5.56616 | + | 27.4652i | −0.176904 | + | 0.872902i | ||||
\(991\) | 1.72800 | − | 23.0586i | 0.0548919 | − | 0.732481i | −0.900069 | − | 0.435748i | \(-0.856484\pi\) |
0.954960 | − | 0.296733i | \(-0.0958971\pi\) | |||||||
\(992\) | 44.2227 | − | 6.66549i | 1.40407 | − | 0.211630i | ||||
\(993\) | 12.1996 | − | 11.6003i | 0.387143 | − | 0.368124i | ||||
\(994\) | 59.5008 | + | 34.1933i | 1.88725 | + | 1.08455i | ||||
\(995\) | −53.5876 | + | 36.5354i | −1.69884 | + | 1.15825i | ||||
\(996\) | 9.88506 | + | 16.6481i | 0.313220 | + | 0.527516i | ||||
\(997\) | −8.70396 | − | 10.9144i | −0.275657 | − | 0.345663i | 0.624661 | − | 0.780896i | \(-0.285237\pi\) |
−0.900318 | + | 0.435233i | \(0.856666\pi\) | |||||||
\(998\) | −31.8840 | + | 55.2247i | −1.00927 | + | 1.74811i | ||||
\(999\) | 15.7562 | + | 1.78697i | 0.498503 | + | 0.0565373i |
(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 | 441.2.z.a.4.11 | yes | 648 | |
9.7 | even | 3 | 441.2.y.a.151.44 | ✓ | 648 | ||
49.37 | even | 21 | 441.2.y.a.184.44 | yes | 648 | ||
441.331 | even | 21 | inner | 441.2.z.a.331.11 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.151.44 | ✓ | 648 | 9.7 | even | 3 | ||
441.2.y.a.184.44 | yes | 648 | 49.37 | even | 21 | ||
441.2.z.a.4.11 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.331.11 | yes | 648 | 441.331 | even | 21 | inner |