Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(929,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.929");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.e (of order \(2\), degree \(1\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 929.10 | ||
Character | \(\chi\) | \(=\) | 930.929 |
Dual form | 930.2.e.a.929.9 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −1.02858 | + | 1.39357i | −0.593849 | + | 0.804577i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.467590 | − | 2.18663i | 0.209113 | − | 0.977892i | ||||
\(6\) | 1.02858 | − | 1.39357i | 0.419914 | − | 0.568922i | ||||
\(7\) | − | 1.43029i | − | 0.540598i | −0.962776 | − | 0.270299i | \(-0.912877\pi\) | ||
0.962776 | − | 0.270299i | \(-0.0871226\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.884063 | − | 2.86678i | −0.294688 | − | 0.955594i | ||||
\(10\) | −0.467590 | + | 2.18663i | −0.147865 | + | 0.691474i | ||||
\(11\) | 6.14209 | 1.85191 | 0.925956 | − | 0.377632i | \(-0.123262\pi\) | ||||
0.925956 | + | 0.377632i | \(0.123262\pi\) | |||||||
\(12\) | −1.02858 | + | 1.39357i | −0.296924 | + | 0.402288i | ||||
\(13\) | −2.15469 | −0.597603 | −0.298802 | − | 0.954315i | \(-0.596587\pi\) | ||||
−0.298802 | + | 0.954315i | \(0.596587\pi\) | |||||||
\(14\) | 1.43029i | 0.382261i | ||||||||
\(15\) | 2.56627 | + | 2.90074i | 0.662608 | + | 0.748967i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 0.937186i | − | 0.227301i | −0.993521 | − | 0.113650i | \(-0.963746\pi\) | ||
0.993521 | − | 0.113650i | \(-0.0362544\pi\) | |||||||
\(18\) | 0.884063 | + | 2.86678i | 0.208376 | + | 0.675707i | ||||
\(19\) | −5.64155 | −1.29426 | −0.647130 | − | 0.762380i | \(-0.724031\pi\) | ||||
−0.647130 | + | 0.762380i | \(0.724031\pi\) | |||||||
\(20\) | 0.467590 | − | 2.18663i | 0.104556 | − | 0.488946i | ||||
\(21\) | 1.99320 | + | 1.47116i | 0.434953 | + | 0.321034i | ||||
\(22\) | −6.14209 | −1.30950 | ||||||||
\(23\) | − | 0.266117i | − | 0.0554892i | −0.999615 | − | 0.0277446i | \(-0.991167\pi\) | ||
0.999615 | − | 0.0277446i | \(-0.00883252\pi\) | |||||||
\(24\) | 1.02858 | − | 1.39357i | 0.209957 | − | 0.284461i | ||||
\(25\) | −4.56272 | − | 2.04489i | −0.912544 | − | 0.408979i | ||||
\(26\) | 2.15469 | 0.422569 | ||||||||
\(27\) | 4.90438 | + | 1.71670i | 0.943848 | + | 0.330379i | ||||
\(28\) | − | 1.43029i | − | 0.270299i | ||||||
\(29\) | −3.72847 | −0.692360 | −0.346180 | − | 0.938168i | \(-0.612521\pi\) | ||||
−0.346180 | + | 0.938168i | \(0.612521\pi\) | |||||||
\(30\) | −2.56627 | − | 2.90074i | −0.468534 | − | 0.529599i | ||||
\(31\) | −3.50356 | − | 4.32724i | −0.629258 | − | 0.777196i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −6.31761 | + | 8.55943i | −1.09975 | + | 1.49000i | ||||
\(34\) | 0.937186i | 0.160726i | ||||||||
\(35\) | −3.12752 | − | 0.668789i | −0.528647 | − | 0.113046i | ||||
\(36\) | −0.884063 | − | 2.86678i | −0.147344 | − | 0.477797i | ||||
\(37\) | −7.85409 | −1.29120 | −0.645602 | − | 0.763674i | \(-0.723393\pi\) | ||||
−0.645602 | + | 0.763674i | \(0.723393\pi\) | |||||||
\(38\) | 5.64155 | 0.915180 | ||||||||
\(39\) | 2.21626 | − | 3.00271i | 0.354886 | − | 0.480818i | ||||
\(40\) | −0.467590 | + | 2.18663i | −0.0739324 | + | 0.345737i | ||||
\(41\) | − | 3.31985i | − | 0.518473i | −0.965814 | − | 0.259236i | \(-0.916529\pi\) | ||
0.965814 | − | 0.259236i | \(-0.0834709\pi\) | |||||||
\(42\) | −1.99320 | − | 1.47116i | −0.307558 | − | 0.227005i | ||||
\(43\) | −0.581900 | −0.0887389 | −0.0443694 | − | 0.999015i | \(-0.514128\pi\) | ||||
−0.0443694 | + | 0.999015i | \(0.514128\pi\) | |||||||
\(44\) | 6.14209 | 0.925956 | ||||||||
\(45\) | −6.68197 | + | 0.592643i | −0.996090 | + | 0.0883460i | ||||
\(46\) | 0.266117i | 0.0392368i | ||||||||
\(47\) | 4.74525 | 0.692166 | 0.346083 | − | 0.938204i | \(-0.387512\pi\) | ||||
0.346083 | + | 0.938204i | \(0.387512\pi\) | |||||||
\(48\) | −1.02858 | + | 1.39357i | −0.148462 | + | 0.201144i | ||||
\(49\) | 4.95427 | 0.707753 | ||||||||
\(50\) | 4.56272 | + | 2.04489i | 0.645266 | + | 0.289192i | ||||
\(51\) | 1.30603 | + | 0.963966i | 0.182881 | + | 0.134982i | ||||
\(52\) | −2.15469 | −0.298802 | ||||||||
\(53\) | − | 6.07885i | − | 0.834995i | −0.908678 | − | 0.417497i | \(-0.862907\pi\) | ||
0.908678 | − | 0.417497i | \(-0.137093\pi\) | |||||||
\(54\) | −4.90438 | − | 1.71670i | −0.667402 | − | 0.233613i | ||||
\(55\) | 2.87198 | − | 13.4305i | 0.387258 | − | 1.81097i | ||||
\(56\) | 1.43029i | 0.191130i | ||||||||
\(57\) | 5.80276 | − | 7.86188i | 0.768594 | − | 1.04133i | ||||
\(58\) | 3.72847 | 0.489573 | ||||||||
\(59\) | − | 5.39747i | − | 0.702690i | −0.936246 | − | 0.351345i | \(-0.885724\pi\) | ||
0.936246 | − | 0.351345i | \(-0.114276\pi\) | |||||||
\(60\) | 2.56627 | + | 2.90074i | 0.331304 | + | 0.374483i | ||||
\(61\) | 9.71998i | 1.24452i | 0.782812 | + | 0.622258i | \(0.213784\pi\) | ||||
−0.782812 | + | 0.622258i | \(0.786216\pi\) | |||||||
\(62\) | 3.50356 | + | 4.32724i | 0.444953 | + | 0.549561i | ||||
\(63\) | −4.10032 | + | 1.26447i | −0.516592 | + | 0.159308i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.00751 | + | 4.71151i | −0.124966 | + | 0.584391i | ||||
\(66\) | 6.31761 | − | 8.55943i | 0.777644 | − | 1.05359i | ||||
\(67\) | − | 9.90260i | − | 1.20980i | −0.796303 | − | 0.604898i | \(-0.793214\pi\) | ||
0.796303 | − | 0.604898i | \(-0.206786\pi\) | |||||||
\(68\) | − | 0.937186i | − | 0.113650i | ||||||
\(69\) | 0.370852 | + | 0.273721i | 0.0446453 | + | 0.0329522i | ||||
\(70\) | 3.12752 | + | 0.668789i | 0.373810 | + | 0.0799355i | ||||
\(71\) | 1.07592i | 0.127688i | 0.997960 | + | 0.0638442i | \(0.0203361\pi\) | ||||
−0.997960 | + | 0.0638442i | \(0.979664\pi\) | |||||||
\(72\) | 0.884063 | + | 2.86678i | 0.104188 | + | 0.337853i | ||||
\(73\) | 3.14657 | 0.368279 | 0.184139 | − | 0.982900i | \(-0.441050\pi\) | ||||
0.184139 | + | 0.982900i | \(0.441050\pi\) | |||||||
\(74\) | 7.85409 | 0.913019 | ||||||||
\(75\) | 7.54280 | − | 4.25513i | 0.870968 | − | 0.491340i | ||||
\(76\) | −5.64155 | −0.647130 | ||||||||
\(77\) | − | 8.78497i | − | 1.00114i | ||||||
\(78\) | −2.21626 | + | 3.00271i | −0.250942 | + | 0.339990i | ||||
\(79\) | 2.07491i | 0.233446i | 0.993165 | + | 0.116723i | \(0.0372389\pi\) | ||||
−0.993165 | + | 0.116723i | \(0.962761\pi\) | |||||||
\(80\) | 0.467590 | − | 2.18663i | 0.0522781 | − | 0.244473i | ||||
\(81\) | −7.43686 | + | 5.06883i | −0.826318 | + | 0.563203i | ||||
\(82\) | 3.31985i | 0.366616i | ||||||||
\(83\) | − | 8.35010i | − | 0.916543i | −0.888812 | − | 0.458272i | \(-0.848469\pi\) | ||
0.888812 | − | 0.458272i | \(-0.151531\pi\) | |||||||
\(84\) | 1.99320 | + | 1.47116i | 0.217476 | + | 0.160517i | ||||
\(85\) | −2.04928 | − | 0.438218i | −0.222276 | − | 0.0475315i | ||||
\(86\) | 0.581900 | 0.0627479 | ||||||||
\(87\) | 3.83502 | − | 5.19588i | 0.411157 | − | 0.557057i | ||||
\(88\) | −6.14209 | −0.654749 | ||||||||
\(89\) | 6.18921 | 0.656055 | 0.328027 | − | 0.944668i | \(-0.393616\pi\) | ||||
0.328027 | + | 0.944668i | \(0.393616\pi\) | |||||||
\(90\) | 6.68197 | − | 0.592643i | 0.704342 | − | 0.0624701i | ||||
\(91\) | 3.08183i | 0.323063i | ||||||||
\(92\) | − | 0.266117i | − | 0.0277446i | ||||||
\(93\) | 9.63399 | − | 0.431553i | 0.998998 | − | 0.0447500i | ||||
\(94\) | −4.74525 | −0.489435 | ||||||||
\(95\) | −2.63793 | + | 12.3360i | −0.270646 | + | 1.26565i | ||||
\(96\) | 1.02858 | − | 1.39357i | 0.104979 | − | 0.142230i | ||||
\(97\) | − | 10.6856i | − | 1.08495i | −0.840071 | − | 0.542477i | \(-0.817487\pi\) | ||
0.840071 | − | 0.542477i | \(-0.182513\pi\) | |||||||
\(98\) | −4.95427 | −0.500457 | ||||||||
\(99\) | −5.43000 | − | 17.6080i | −0.545735 | − | 1.76967i | ||||
\(100\) | −4.56272 | − | 2.04489i | −0.456272 | − | 0.204489i | ||||
\(101\) | − | 12.6932i | − | 1.26302i | −0.775368 | − | 0.631510i | \(-0.782436\pi\) | ||
0.775368 | − | 0.631510i | \(-0.217564\pi\) | |||||||
\(102\) | −1.30603 | − | 0.963966i | −0.129316 | − | 0.0954469i | ||||
\(103\) | − | 14.3190i | − | 1.41089i | −0.708763 | − | 0.705447i | \(-0.750746\pi\) | ||
0.708763 | − | 0.705447i | \(-0.249254\pi\) | |||||||
\(104\) | 2.15469 | 0.211285 | ||||||||
\(105\) | 4.14889 | − | 3.67051i | 0.404890 | − | 0.358205i | ||||
\(106\) | 6.07885i | 0.590430i | ||||||||
\(107\) | −1.96466 | −0.189931 | −0.0949656 | − | 0.995481i | \(-0.530274\pi\) | ||||
−0.0949656 | + | 0.995481i | \(0.530274\pi\) | |||||||
\(108\) | 4.90438 | + | 1.71670i | 0.471924 | + | 0.165190i | ||||
\(109\) | −10.8671 | −1.04088 | −0.520439 | − | 0.853899i | \(-0.674232\pi\) | ||||
−0.520439 | + | 0.853899i | \(0.674232\pi\) | |||||||
\(110\) | −2.87198 | + | 13.4305i | −0.273833 | + | 1.28055i | ||||
\(111\) | 8.07852 | − | 10.9452i | 0.766780 | − | 1.03887i | ||||
\(112\) | − | 1.43029i | − | 0.135150i | ||||||
\(113\) | −18.5351 | −1.74364 | −0.871818 | − | 0.489829i | \(-0.837059\pi\) | ||||
−0.871818 | + | 0.489829i | \(0.837059\pi\) | |||||||
\(114\) | −5.80276 | + | 7.86188i | −0.543478 | + | 0.736333i | ||||
\(115\) | −0.581900 | − | 0.124434i | −0.0542624 | − | 0.0116035i | ||||
\(116\) | −3.72847 | −0.346180 | ||||||||
\(117\) | 1.90488 | + | 6.17702i | 0.176106 | + | 0.571066i | ||||
\(118\) | 5.39747i | 0.496877i | ||||||||
\(119\) | −1.34045 | −0.122878 | ||||||||
\(120\) | −2.56627 | − | 2.90074i | −0.234267 | − | 0.264800i | ||||
\(121\) | 26.7253 | 2.42957 | ||||||||
\(122\) | − | 9.71998i | − | 0.880006i | ||||||
\(123\) | 4.62643 | + | 3.41471i | 0.417151 | + | 0.307894i | ||||
\(124\) | −3.50356 | − | 4.32724i | −0.314629 | − | 0.388598i | ||||
\(125\) | −6.60491 | + | 9.02082i | −0.590761 | + | 0.806846i | ||||
\(126\) | 4.10032 | − | 1.26447i | 0.365286 | − | 0.112648i | ||||
\(127\) | −0.722563 | −0.0641171 | −0.0320585 | − | 0.999486i | \(-0.510206\pi\) | ||||
−0.0320585 | + | 0.999486i | \(0.510206\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 0.598528 | − | 0.810917i | 0.0526975 | − | 0.0713973i | ||||
\(130\) | 1.00751 | − | 4.71151i | 0.0883646 | − | 0.413227i | ||||
\(131\) | − | 3.37246i | − | 0.294654i | −0.989088 | − | 0.147327i | \(-0.952933\pi\) | ||
0.989088 | − | 0.147327i | \(-0.0470669\pi\) | |||||||
\(132\) | −6.31761 | + | 8.55943i | −0.549877 | + | 0.745002i | ||||
\(133\) | 8.06904i | 0.699675i | ||||||||
\(134\) | 9.90260i | 0.855454i | ||||||||
\(135\) | 6.04703 | − | 9.92136i | 0.520445 | − | 0.853895i | ||||
\(136\) | 0.937186i | 0.0803630i | ||||||||
\(137\) | 18.7748i | 1.60404i | 0.597295 | + | 0.802021i | \(0.296242\pi\) | ||||
−0.597295 | + | 0.802021i | \(0.703758\pi\) | |||||||
\(138\) | −0.370852 | − | 0.273721i | −0.0315690 | − | 0.0233007i | ||||
\(139\) | − | 3.94403i | − | 0.334528i | −0.985912 | − | 0.167264i | \(-0.946507\pi\) | ||
0.985912 | − | 0.167264i | \(-0.0534932\pi\) | |||||||
\(140\) | −3.12752 | − | 0.668789i | −0.264323 | − | 0.0565230i | ||||
\(141\) | −4.88085 | + | 6.61283i | −0.411042 | + | 0.556901i | ||||
\(142\) | − | 1.07592i | − | 0.0902894i | ||||||
\(143\) | −13.2343 | −1.10671 | ||||||||
\(144\) | −0.884063 | − | 2.86678i | −0.0736719 | − | 0.238898i | ||||
\(145\) | −1.74340 | + | 8.15280i | −0.144781 | + | 0.677053i | ||||
\(146\) | −3.14657 | −0.260412 | ||||||||
\(147\) | −5.09585 | + | 6.90412i | −0.420298 | + | 0.569442i | ||||
\(148\) | −7.85409 | −0.645602 | ||||||||
\(149\) | 10.5144i | 0.861371i | 0.902502 | + | 0.430686i | \(0.141728\pi\) | ||||
−0.902502 | + | 0.430686i | \(0.858272\pi\) | |||||||
\(150\) | −7.54280 | + | 4.25513i | −0.615867 | + | 0.347430i | ||||
\(151\) | 8.58926i | 0.698984i | 0.936939 | + | 0.349492i | \(0.113646\pi\) | ||||
−0.936939 | + | 0.349492i | \(0.886354\pi\) | |||||||
\(152\) | 5.64155 | 0.457590 | ||||||||
\(153\) | −2.68671 | + | 0.828531i | −0.217207 | + | 0.0669828i | ||||
\(154\) | 8.78497i | 0.707913i | ||||||||
\(155\) | −11.1003 | + | 5.63763i | −0.891599 | + | 0.452825i | ||||
\(156\) | 2.21626 | − | 3.00271i | 0.177443 | − | 0.240409i | ||||
\(157\) | − | 9.01331i | − | 0.719341i | −0.933079 | − | 0.359670i | \(-0.882889\pi\) | ||
0.933079 | − | 0.359670i | \(-0.117111\pi\) | |||||||
\(158\) | − | 2.07491i | − | 0.165071i | ||||||
\(159\) | 8.47129 | + | 6.25256i | 0.671817 | + | 0.495860i | ||||
\(160\) | −0.467590 | + | 2.18663i | −0.0369662 | + | 0.172868i | ||||
\(161\) | −0.380624 | −0.0299974 | ||||||||
\(162\) | 7.43686 | − | 5.06883i | 0.584295 | − | 0.398245i | ||||
\(163\) | − | 14.2442i | − | 1.11570i | −0.829943 | − | 0.557848i | \(-0.811627\pi\) | ||
0.829943 | − | 0.557848i | \(-0.188373\pi\) | |||||||
\(164\) | − | 3.31985i | − | 0.259236i | ||||||
\(165\) | 15.7623 | + | 17.8166i | 1.22709 | + | 1.38702i | ||||
\(166\) | 8.35010i | 0.648094i | ||||||||
\(167\) | − | 10.1611i | − | 0.786288i | −0.919477 | − | 0.393144i | \(-0.871387\pi\) | ||
0.919477 | − | 0.393144i | \(-0.128613\pi\) | |||||||
\(168\) | −1.99320 | − | 1.47116i | −0.153779 | − | 0.113503i | ||||
\(169\) | −8.35731 | −0.642870 | ||||||||
\(170\) | 2.04928 | + | 0.438218i | 0.157173 | + | 0.0336098i | ||||
\(171\) | 4.98748 | + | 16.1731i | 0.381402 | + | 1.23679i | ||||
\(172\) | −0.581900 | −0.0443694 | ||||||||
\(173\) | 15.9489 | 1.21258 | 0.606288 | − | 0.795245i | \(-0.292658\pi\) | ||||
0.606288 | + | 0.795245i | \(0.292658\pi\) | |||||||
\(174\) | −3.83502 | + | 5.19588i | −0.290732 | + | 0.393899i | ||||
\(175\) | −2.92479 | + | 6.52601i | −0.221093 | + | 0.493320i | ||||
\(176\) | 6.14209 | 0.462978 | ||||||||
\(177\) | 7.52174 | + | 5.55170i | 0.565368 | + | 0.417292i | ||||
\(178\) | −6.18921 | −0.463901 | ||||||||
\(179\) | −1.03414 | −0.0772953 | −0.0386477 | − | 0.999253i | \(-0.512305\pi\) | ||||
−0.0386477 | + | 0.999253i | \(0.512305\pi\) | |||||||
\(180\) | −6.68197 | + | 0.592643i | −0.498045 | + | 0.0441730i | ||||
\(181\) | − | 1.53891i | − | 0.114386i | −0.998363 | − | 0.0571930i | \(-0.981785\pi\) | ||
0.998363 | − | 0.0571930i | \(-0.0182150\pi\) | |||||||
\(182\) | − | 3.08183i | − | 0.228440i | ||||||
\(183\) | −13.5455 | − | 9.99774i | −1.00131 | − | 0.739054i | ||||
\(184\) | 0.266117i | 0.0196184i | ||||||||
\(185\) | −3.67249 | + | 17.1740i | −0.270007 | + | 1.26266i | ||||
\(186\) | −9.63399 | + | 0.431553i | −0.706398 | + | 0.0316430i | ||||
\(187\) | − | 5.75628i | − | 0.420941i | ||||||
\(188\) | 4.74525 | 0.346083 | ||||||||
\(189\) | 2.45538 | − | 7.01468i | 0.178602 | − | 0.510243i | ||||
\(190\) | 2.63793 | − | 12.3360i | 0.191376 | − | 0.894947i | ||||
\(191\) | − | 1.04692i | − | 0.0757527i | −0.999282 | − | 0.0378764i | \(-0.987941\pi\) | ||
0.999282 | − | 0.0378764i | \(-0.0120593\pi\) | |||||||
\(192\) | −1.02858 | + | 1.39357i | −0.0742311 | + | 0.100572i | ||||
\(193\) | 21.9599i | 1.58071i | 0.612649 | + | 0.790355i | \(0.290104\pi\) | ||||
−0.612649 | + | 0.790355i | \(0.709896\pi\) | |||||||
\(194\) | 10.6856i | 0.767178i | ||||||||
\(195\) | −5.52951 | − | 6.25018i | −0.395977 | − | 0.447585i | ||||
\(196\) | 4.95427 | 0.353877 | ||||||||
\(197\) | 23.2946i | 1.65967i | 0.558009 | + | 0.829835i | \(0.311565\pi\) | ||||
−0.558009 | + | 0.829835i | \(0.688435\pi\) | |||||||
\(198\) | 5.43000 | + | 17.6080i | 0.385893 | + | 1.25135i | ||||
\(199\) | − | 5.07538i | − | 0.359784i | −0.983686 | − | 0.179892i | \(-0.942425\pi\) | ||
0.983686 | − | 0.179892i | \(-0.0575748\pi\) | |||||||
\(200\) | 4.56272 | + | 2.04489i | 0.322633 | + | 0.144596i | ||||
\(201\) | 13.7999 | + | 10.1856i | 0.973373 | + | 0.718435i | ||||
\(202\) | 12.6932i | 0.893089i | ||||||||
\(203\) | 5.33280i | 0.374289i | ||||||||
\(204\) | 1.30603 | + | 0.963966i | 0.0914405 | + | 0.0674912i | ||||
\(205\) | −7.25928 | − | 1.55233i | −0.507010 | − | 0.108419i | ||||
\(206\) | 14.3190i | 0.997652i | ||||||||
\(207\) | −0.762899 | + | 0.235264i | −0.0530251 | + | 0.0163520i | ||||
\(208\) | −2.15469 | −0.149401 | ||||||||
\(209\) | −34.6509 | −2.39685 | ||||||||
\(210\) | −4.14889 | + | 3.67051i | −0.286301 | + | 0.253289i | ||||
\(211\) | 18.6497 | 1.28390 | 0.641950 | − | 0.766747i | \(-0.278126\pi\) | ||||
0.641950 | + | 0.766747i | \(0.278126\pi\) | |||||||
\(212\) | − | 6.07885i | − | 0.417497i | ||||||
\(213\) | −1.49937 | − | 1.10667i | −0.102735 | − | 0.0758276i | ||||
\(214\) | 1.96466 | 0.134302 | ||||||||
\(215\) | −0.272090 | + | 1.27240i | −0.0185564 | + | 0.0867770i | ||||
\(216\) | −4.90438 | − | 1.71670i | −0.333701 | − | 0.116807i | ||||
\(217\) | −6.18921 | + | 5.01111i | −0.420151 | + | 0.340176i | ||||
\(218\) | 10.8671 | 0.736013 | ||||||||
\(219\) | −3.23649 | + | 4.38497i | −0.218702 | + | 0.296309i | ||||
\(220\) | 2.87198 | − | 13.4305i | 0.193629 | − | 0.905484i | ||||
\(221\) | 2.01934i | 0.135836i | ||||||||
\(222\) | −8.07852 | + | 10.9452i | −0.542195 | + | 0.734594i | ||||
\(223\) | −7.26279 | −0.486352 | −0.243176 | − | 0.969982i | \(-0.578189\pi\) | ||||
−0.243176 | + | 0.969982i | \(0.578189\pi\) | |||||||
\(224\) | 1.43029i | 0.0955652i | ||||||||
\(225\) | −1.82853 | + | 14.8881i | −0.121902 | + | 0.992542i | ||||
\(226\) | 18.5351 | 1.23294 | ||||||||
\(227\) | 16.5730 | 1.09999 | 0.549993 | − | 0.835169i | \(-0.314630\pi\) | ||||
0.549993 | + | 0.835169i | \(0.314630\pi\) | |||||||
\(228\) | 5.80276 | − | 7.86188i | 0.384297 | − | 0.520666i | ||||
\(229\) | 19.1781i | 1.26732i | 0.773610 | + | 0.633662i | \(0.218449\pi\) | ||||
−0.773610 | + | 0.633662i | \(0.781551\pi\) | |||||||
\(230\) | 0.581900 | + | 0.124434i | 0.0383693 | + | 0.00820491i | ||||
\(231\) | 12.2425 | + | 9.03601i | 0.805494 | + | 0.594526i | ||||
\(232\) | 3.72847 | 0.244786 | ||||||||
\(233\) | 19.6843 | 1.28956 | 0.644781 | − | 0.764367i | \(-0.276948\pi\) | ||||
0.644781 | + | 0.764367i | \(0.276948\pi\) | |||||||
\(234\) | −1.90488 | − | 6.17702i | −0.124526 | − | 0.403805i | ||||
\(235\) | 2.21883 | − | 10.3761i | 0.144741 | − | 0.676863i | ||||
\(236\) | − | 5.39747i | − | 0.351345i | ||||||
\(237\) | −2.89153 | − | 2.13420i | −0.187825 | − | 0.138631i | ||||
\(238\) | 1.34045 | 0.0868882 | ||||||||
\(239\) | −2.93174 | −0.189639 | −0.0948194 | − | 0.995494i | \(-0.530227\pi\) | ||||
−0.0948194 | + | 0.995494i | \(0.530227\pi\) | |||||||
\(240\) | 2.56627 | + | 2.90074i | 0.165652 | + | 0.187242i | ||||
\(241\) | − | 26.2006i | − | 1.68773i | −0.536558 | − | 0.843863i | \(-0.680276\pi\) | ||
0.536558 | − | 0.843863i | \(-0.319724\pi\) | |||||||
\(242\) | −26.7253 | −1.71797 | ||||||||
\(243\) | 0.585621 | − | 15.5775i | 0.0375676 | − | 0.999294i | ||||
\(244\) | 9.71998i | 0.622258i | ||||||||
\(245\) | 2.31657 | − | 10.8332i | 0.148000 | − | 0.692106i | ||||
\(246\) | −4.62643 | − | 3.41471i | −0.294970 | − | 0.217714i | ||||
\(247\) | 12.1558 | 0.773454 | ||||||||
\(248\) | 3.50356 | + | 4.32724i | 0.222476 | + | 0.274780i | ||||
\(249\) | 11.6364 | + | 8.58872i | 0.737429 | + | 0.544288i | ||||
\(250\) | 6.60491 | − | 9.02082i | 0.417731 | − | 0.570527i | ||||
\(251\) | 16.0306 | 1.01184 | 0.505922 | − | 0.862579i | \(-0.331152\pi\) | ||||
0.505922 | + | 0.862579i | \(0.331152\pi\) | |||||||
\(252\) | −4.10032 | + | 1.26447i | −0.258296 | + | 0.0796539i | ||||
\(253\) | − | 1.63452i | − | 0.102761i | ||||||
\(254\) | 0.722563 | 0.0453376 | ||||||||
\(255\) | 2.71853 | − | 2.40507i | 0.170241 | − | 0.150611i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 18.9905 | 1.18459 | 0.592296 | − | 0.805720i | \(-0.298221\pi\) | ||||
0.592296 | + | 0.805720i | \(0.298221\pi\) | |||||||
\(258\) | −0.598528 | + | 0.810917i | −0.0372627 | + | 0.0504855i | ||||
\(259\) | 11.2336i | 0.698023i | ||||||||
\(260\) | −1.00751 | + | 4.71151i | −0.0624832 | + | 0.292196i | ||||
\(261\) | 3.29621 | + | 10.6887i | 0.204030 | + | 0.661615i | ||||
\(262\) | 3.37246i | 0.208352i | ||||||||
\(263\) | − | 21.8884i | − | 1.34969i | −0.737957 | − | 0.674847i | \(-0.764209\pi\) | ||
0.737957 | − | 0.674847i | \(-0.235791\pi\) | |||||||
\(264\) | 6.31761 | − | 8.55943i | 0.388822 | − | 0.526796i | ||||
\(265\) | −13.2922 | − | 2.84241i | −0.816534 | − | 0.174608i | ||||
\(266\) | − | 8.06904i | − | 0.494745i | ||||||
\(267\) | −6.36607 | + | 8.62508i | −0.389597 | + | 0.527847i | ||||
\(268\) | − | 9.90260i | − | 0.604898i | ||||||
\(269\) | −21.2950 | −1.29838 | −0.649191 | − | 0.760626i | \(-0.724892\pi\) | ||||
−0.649191 | + | 0.760626i | \(0.724892\pi\) | |||||||
\(270\) | −6.04703 | + | 9.92136i | −0.368010 | + | 0.603795i | ||||
\(271\) | 11.2154i | 0.681285i | 0.940193 | + | 0.340642i | \(0.110645\pi\) | ||||
−0.940193 | + | 0.340642i | \(0.889355\pi\) | |||||||
\(272\) | − | 0.937186i | − | 0.0568252i | ||||||
\(273\) | −4.29474 | − | 3.16989i | −0.259929 | − | 0.191851i | ||||
\(274\) | − | 18.7748i | − | 1.13423i | ||||||
\(275\) | −28.0247 | − | 12.5599i | −1.68995 | − | 0.757392i | ||||
\(276\) | 0.370852 | + | 0.273721i | 0.0223227 | + | 0.0164761i | ||||
\(277\) | −11.5071 | −0.691397 | −0.345698 | − | 0.938346i | \(-0.612358\pi\) | ||||
−0.345698 | + | 0.938346i | \(0.612358\pi\) | |||||||
\(278\) | 3.94403i | 0.236547i | ||||||||
\(279\) | −9.30789 | + | 13.8695i | −0.557249 | + | 0.830346i | ||||
\(280\) | 3.12752 | + | 0.668789i | 0.186905 | + | 0.0399678i | ||||
\(281\) | − | 23.5749i | − | 1.40636i | −0.711013 | − | 0.703179i | \(-0.751763\pi\) | ||
0.711013 | − | 0.703179i | \(-0.248237\pi\) | |||||||
\(282\) | 4.88085 | − | 6.61283i | 0.290650 | − | 0.393788i | ||||
\(283\) | 16.0120i | 0.951817i | 0.879495 | + | 0.475908i | \(0.157881\pi\) | ||||
−0.879495 | + | 0.475908i | \(0.842119\pi\) | |||||||
\(284\) | 1.07592i | 0.0638442i | ||||||||
\(285\) | −14.4777 | − | 16.3646i | −0.857587 | − | 0.969357i | ||||
\(286\) | 13.2343 | 0.782561 | ||||||||
\(287\) | −4.74834 | −0.280286 | ||||||||
\(288\) | 0.884063 | + | 2.86678i | 0.0520939 | + | 0.168927i | ||||
\(289\) | 16.1217 | 0.948334 | ||||||||
\(290\) | 1.74340 | − | 8.15280i | 0.102376 | − | 0.478749i | ||||
\(291\) | 14.8910 | + | 10.9909i | 0.872929 | + | 0.644298i | ||||
\(292\) | 3.14657 | 0.184139 | ||||||||
\(293\) | 12.2492 | 0.715608 | 0.357804 | − | 0.933797i | \(-0.383526\pi\) | ||||
0.357804 | + | 0.933797i | \(0.383526\pi\) | |||||||
\(294\) | 5.09585 | − | 6.90412i | 0.297196 | − | 0.402656i | ||||
\(295\) | −11.8023 | − | 2.52380i | −0.687155 | − | 0.146941i | ||||
\(296\) | 7.85409 | 0.456510 | ||||||||
\(297\) | 30.1232 | + | 10.5441i | 1.74792 | + | 0.611833i | ||||
\(298\) | − | 10.5144i | − | 0.609081i | ||||||
\(299\) | 0.573399i | 0.0331605i | ||||||||
\(300\) | 7.54280 | − | 4.25513i | 0.435484 | − | 0.245670i | ||||
\(301\) | 0.832285i | 0.0479721i | ||||||||
\(302\) | − | 8.58926i | − | 0.494256i | ||||||
\(303\) | 17.6888 | + | 13.0559i | 1.01620 | + | 0.750042i | ||||
\(304\) | −5.64155 | −0.323565 | ||||||||
\(305\) | 21.2540 | + | 4.54496i | 1.21700 | + | 0.260244i | ||||
\(306\) | 2.68671 | − | 0.828531i | 0.153589 | − | 0.0473640i | ||||
\(307\) | 28.8870i | 1.64867i | 0.566102 | + | 0.824335i | \(0.308451\pi\) | ||||
−0.566102 | + | 0.824335i | \(0.691549\pi\) | |||||||
\(308\) | − | 8.78497i | − | 0.500570i | ||||||
\(309\) | 19.9545 | + | 14.7282i | 1.13517 | + | 0.837857i | ||||
\(310\) | 11.1003 | − | 5.63763i | 0.630456 | − | 0.320196i | ||||
\(311\) | − | 8.54298i | − | 0.484428i | −0.970223 | − | 0.242214i | \(-0.922126\pi\) | ||
0.970223 | − | 0.242214i | \(-0.0778736\pi\) | |||||||
\(312\) | −2.21626 | + | 3.00271i | −0.125471 | + | 0.169995i | ||||
\(313\) | −31.8575 | −1.80069 | −0.900347 | − | 0.435172i | \(-0.856688\pi\) | ||||
−0.900347 | + | 0.435172i | \(0.856688\pi\) | |||||||
\(314\) | 9.01331i | 0.508651i | ||||||||
\(315\) | 0.847651 | + | 9.55715i | 0.0477597 | + | 0.538485i | ||||
\(316\) | 2.07491i | 0.116723i | ||||||||
\(317\) | −7.46567 | −0.419314 | −0.209657 | − | 0.977775i | \(-0.567235\pi\) | ||||
−0.209657 | + | 0.977775i | \(0.567235\pi\) | |||||||
\(318\) | −8.47129 | − | 6.25256i | −0.475047 | − | 0.350626i | ||||
\(319\) | −22.9006 | −1.28219 | ||||||||
\(320\) | 0.467590 | − | 2.18663i | 0.0261391 | − | 0.122236i | ||||
\(321\) | 2.02081 | − | 2.73789i | 0.112790 | − | 0.152814i | ||||
\(322\) | 0.380624 | 0.0212114 | ||||||||
\(323\) | 5.28718i | 0.294186i | ||||||||
\(324\) | −7.43686 | + | 5.06883i | −0.413159 | + | 0.281602i | ||||
\(325\) | 9.83124 | + | 4.40611i | 0.545339 | + | 0.244407i | ||||
\(326\) | 14.2442i | 0.788916i | ||||||||
\(327\) | 11.1776 | − | 15.1440i | 0.618124 | − | 0.837467i | ||||
\(328\) | 3.31985i | 0.183308i | ||||||||
\(329\) | − | 6.78708i | − | 0.374184i | ||||||
\(330\) | −15.7623 | − | 17.8166i | −0.867684 | − | 0.980771i | ||||
\(331\) | 34.6148i | 1.90260i | 0.308261 | + | 0.951302i | \(0.400253\pi\) | ||||
−0.308261 | + | 0.951302i | \(0.599747\pi\) | |||||||
\(332\) | − | 8.35010i | − | 0.458272i | ||||||
\(333\) | 6.94351 | + | 22.5159i | 0.380502 | + | 1.23387i | ||||
\(334\) | 10.1611i | 0.555989i | ||||||||
\(335\) | −21.6533 | − | 4.63035i | −1.18305 | − | 0.252983i | ||||
\(336\) | 1.99320 | + | 1.47116i | 0.108738 | + | 0.0802584i | ||||
\(337\) | 24.5024 | 1.33473 | 0.667364 | − | 0.744732i | \(-0.267423\pi\) | ||||
0.667364 | + | 0.744732i | \(0.267423\pi\) | |||||||
\(338\) | 8.35731 | 0.454578 | ||||||||
\(339\) | 19.0648 | − | 25.8299i | 1.03546 | − | 1.40289i | ||||
\(340\) | −2.04928 | − | 0.438218i | −0.111138 | − | 0.0237657i | ||||
\(341\) | −21.5192 | − | 26.5783i | −1.16533 | − | 1.43930i | ||||
\(342\) | −4.98748 | − | 16.1731i | −0.269692 | − | 0.874540i | ||||
\(343\) | − | 17.0981i | − | 0.923209i | ||||||
\(344\) | 0.581900 | 0.0313739 | ||||||||
\(345\) | 0.771935 | − | 0.682928i | 0.0415596 | − | 0.0367676i | ||||
\(346\) | −15.9489 | −0.857420 | ||||||||
\(347\) | 20.1749i | 1.08304i | 0.840687 | + | 0.541522i | \(0.182152\pi\) | ||||
−0.840687 | + | 0.541522i | \(0.817848\pi\) | |||||||
\(348\) | 3.83502 | − | 5.19588i | 0.205579 | − | 0.278529i | ||||
\(349\) | −16.0548 | −0.859395 | −0.429697 | − | 0.902973i | \(-0.641380\pi\) | ||||
−0.429697 | + | 0.902973i | \(0.641380\pi\) | |||||||
\(350\) | 2.92479 | − | 6.52601i | 0.156337 | − | 0.348830i | ||||
\(351\) | −10.5674 | − | 3.69896i | −0.564047 | − | 0.197436i | ||||
\(352\) | −6.14209 | −0.327375 | ||||||||
\(353\) | − | 32.4059i | − | 1.72479i | −0.506233 | − | 0.862397i | \(-0.668962\pi\) | ||
0.506233 | − | 0.862397i | \(-0.331038\pi\) | |||||||
\(354\) | −7.52174 | − | 5.55170i | −0.399776 | − | 0.295070i | ||||
\(355\) | 2.35265 | + | 0.503090i | 0.124865 | + | 0.0267013i | ||||
\(356\) | 6.18921 | 0.328027 | ||||||||
\(357\) | 1.37875 | − | 1.86800i | 0.0729712 | − | 0.0988652i | ||||
\(358\) | 1.03414 | 0.0546560 | ||||||||
\(359\) | 13.4229i | 0.708434i | 0.935163 | + | 0.354217i | \(0.115253\pi\) | ||||
−0.935163 | + | 0.354217i | \(0.884747\pi\) | |||||||
\(360\) | 6.68197 | − | 0.592643i | 0.352171 | − | 0.0312350i | ||||
\(361\) | 12.8271 | 0.675109 | ||||||||
\(362\) | 1.53891i | 0.0808831i | ||||||||
\(363\) | −27.4890 | + | 37.2436i | −1.44280 | + | 1.95478i | ||||
\(364\) | 3.08183i | 0.161532i | ||||||||
\(365\) | 1.47131 | − | 6.88040i | 0.0770117 | − | 0.360137i | ||||
\(366\) | 13.5455 | + | 9.99774i | 0.708032 | + | 0.522590i | ||||
\(367\) | 31.8055 | 1.66023 | 0.830116 | − | 0.557590i | \(-0.188274\pi\) | ||||
0.830116 | + | 0.557590i | \(0.188274\pi\) | |||||||
\(368\) | − | 0.266117i | − | 0.0138723i | ||||||
\(369\) | −9.51727 | + | 2.93495i | −0.495449 | + | 0.152788i | ||||
\(370\) | 3.67249 | − | 17.1740i | 0.190924 | − | 0.892834i | ||||
\(371\) | −8.69451 | −0.451397 | ||||||||
\(372\) | 9.63399 | − | 0.431553i | 0.499499 | − | 0.0223750i | ||||
\(373\) | 23.7216i | 1.22826i | 0.789206 | + | 0.614128i | \(0.210492\pi\) | ||||
−0.789206 | + | 0.614128i | \(0.789508\pi\) | |||||||
\(374\) | 5.75628i | 0.297650i | ||||||||
\(375\) | −5.77747 | − | 18.4830i | −0.298347 | − | 0.954457i | ||||
\(376\) | −4.74525 | −0.244718 | ||||||||
\(377\) | 8.03371 | 0.413757 | ||||||||
\(378\) | −2.45538 | + | 7.01468i | −0.126291 | + | 0.360796i | ||||
\(379\) | −6.39563 | −0.328521 | −0.164261 | − | 0.986417i | \(-0.552524\pi\) | ||||
−0.164261 | + | 0.986417i | \(0.552524\pi\) | |||||||
\(380\) | −2.63793 | + | 12.3360i | −0.135323 | + | 0.632823i | ||||
\(381\) | 0.743211 | − | 1.00694i | 0.0380758 | − | 0.0515871i | ||||
\(382\) | 1.04692i | 0.0535653i | ||||||||
\(383\) | 8.99421i | 0.459583i | 0.973240 | + | 0.229791i | \(0.0738044\pi\) | ||||
−0.973240 | + | 0.229791i | \(0.926196\pi\) | |||||||
\(384\) | 1.02858 | − | 1.39357i | 0.0524893 | − | 0.0711152i | ||||
\(385\) | −19.2095 | − | 4.10776i | −0.979007 | − | 0.209351i | ||||
\(386\) | − | 21.9599i | − | 1.11773i | ||||||
\(387\) | 0.514436 | + | 1.66818i | 0.0261503 | + | 0.0847983i | ||||
\(388\) | − | 10.6856i | − | 0.542477i | ||||||
\(389\) | −18.6693 | −0.946569 | −0.473285 | − | 0.880910i | \(-0.656932\pi\) | ||||
−0.473285 | + | 0.880910i | \(0.656932\pi\) | |||||||
\(390\) | 5.52951 | + | 6.25018i | 0.279998 | + | 0.316490i | ||||
\(391\) | −0.249401 | −0.0126127 | ||||||||
\(392\) | −4.95427 | −0.250229 | ||||||||
\(393\) | 4.69976 | + | 3.46884i | 0.237071 | + | 0.174980i | ||||
\(394\) | − | 23.2946i | − | 1.17356i | ||||||
\(395\) | 4.53707 | + | 0.970207i | 0.228285 | + | 0.0488164i | ||||
\(396\) | −5.43000 | − | 17.6080i | −0.272868 | − | 0.884837i | ||||
\(397\) | 1.03561i | 0.0519759i | 0.999662 | + | 0.0259879i | \(0.00827315\pi\) | ||||
−0.999662 | + | 0.0259879i | \(0.991727\pi\) | |||||||
\(398\) | 5.07538i | 0.254406i | ||||||||
\(399\) | −11.2448 | − | 8.29962i | −0.562942 | − | 0.415501i | ||||
\(400\) | −4.56272 | − | 2.04489i | −0.228136 | − | 0.102245i | ||||
\(401\) | 23.1541 | 1.15626 | 0.578130 | − | 0.815945i | \(-0.303783\pi\) | ||||
0.578130 | + | 0.815945i | \(0.303783\pi\) | |||||||
\(402\) | −13.7999 | − | 10.1856i | −0.688279 | − | 0.508010i | ||||
\(403\) | 7.54909 | + | 9.32387i | 0.376047 | + | 0.464455i | ||||
\(404\) | − | 12.6932i | − | 0.631510i | ||||||
\(405\) | 7.60626 | + | 18.6318i | 0.377958 | + | 0.925823i | ||||
\(406\) | − | 5.33280i | − | 0.264662i | ||||||
\(407\) | −48.2405 | −2.39119 | ||||||||
\(408\) | −1.30603 | − | 0.963966i | −0.0646582 | − | 0.0477235i | ||||
\(409\) | − | 23.5176i | − | 1.16287i | −0.813593 | − | 0.581435i | \(-0.802491\pi\) | ||
0.813593 | − | 0.581435i | \(-0.197509\pi\) | |||||||
\(410\) | 7.25928 | + | 1.55233i | 0.358510 | + | 0.0766639i | ||||
\(411\) | −26.1640 | − | 19.3113i | −1.29058 | − | 0.952558i | ||||
\(412\) | − | 14.3190i | − | 0.705447i | ||||||
\(413\) | −7.71994 | −0.379873 | ||||||||
\(414\) | 0.762899 | − | 0.235264i | 0.0374944 | − | 0.0115626i | ||||
\(415\) | −18.2586 | − | 3.90442i | −0.896280 | − | 0.191661i | ||||
\(416\) | 2.15469 | 0.105642 | ||||||||
\(417\) | 5.49627 | + | 4.05673i | 0.269153 | + | 0.198659i | ||||
\(418\) | 34.6509 | 1.69483 | ||||||||
\(419\) | − | 29.4500i | − | 1.43873i | −0.694633 | − | 0.719364i | \(-0.744433\pi\) | ||
0.694633 | − | 0.719364i | \(-0.255567\pi\) | |||||||
\(420\) | 4.14889 | − | 3.67051i | 0.202445 | − | 0.179102i | ||||
\(421\) | −25.1408 | −1.22529 | −0.612644 | − | 0.790359i | \(-0.709894\pi\) | ||||
−0.612644 | + | 0.790359i | \(0.709894\pi\) | |||||||
\(422\) | −18.6497 | −0.907854 | ||||||||
\(423\) | −4.19510 | − | 13.6036i | −0.203973 | − | 0.661429i | ||||
\(424\) | 6.07885i | 0.295215i | ||||||||
\(425\) | −1.91644 | + | 4.27611i | −0.0929612 | + | 0.207422i | ||||
\(426\) | 1.49937 | + | 1.10667i | 0.0726447 | + | 0.0536182i | ||||
\(427\) | 13.9024 | 0.672783 | ||||||||
\(428\) | −1.96466 | −0.0949656 | ||||||||
\(429\) | 13.6125 | − | 18.4429i | 0.657217 | − | 0.890432i | ||||
\(430\) | 0.272090 | − | 1.27240i | 0.0131214 | − | 0.0613606i | ||||
\(431\) | 38.4053i | 1.84992i | 0.380068 | + | 0.924959i | \(0.375901\pi\) | ||||
−0.380068 | + | 0.924959i | \(0.624099\pi\) | |||||||
\(432\) | 4.90438 | + | 1.71670i | 0.235962 | + | 0.0825948i | ||||
\(433\) | −25.1896 | −1.21054 | −0.605268 | − | 0.796022i | \(-0.706934\pi\) | ||||
−0.605268 | + | 0.796022i | \(0.706934\pi\) | |||||||
\(434\) | 6.18921 | − | 5.01111i | 0.297092 | − | 0.240541i | ||||
\(435\) | −9.56827 | − | 10.8153i | −0.458763 | − | 0.518555i | ||||
\(436\) | −10.8671 | −0.520439 | ||||||||
\(437\) | 1.50131i | 0.0718175i | ||||||||
\(438\) | 3.23649 | − | 4.38497i | 0.154646 | − | 0.209522i | ||||
\(439\) | −0.444962 | −0.0212369 | −0.0106184 | − | 0.999944i | \(-0.503380\pi\) | ||||
−0.0106184 | + | 0.999944i | \(0.503380\pi\) | |||||||
\(440\) | −2.87198 | + | 13.4305i | −0.136916 | + | 0.640274i | ||||
\(441\) | −4.37989 | − | 14.2028i | −0.208566 | − | 0.676325i | ||||
\(442\) | − | 2.01934i | − | 0.0960504i | ||||||
\(443\) | 22.7564 | 1.08119 | 0.540596 | − | 0.841283i | \(-0.318199\pi\) | ||||
0.540596 | + | 0.841283i | \(0.318199\pi\) | |||||||
\(444\) | 8.07852 | − | 10.9452i | 0.383390 | − | 0.519436i | ||||
\(445\) | 2.89401 | − | 13.5335i | 0.137189 | − | 0.641551i | ||||
\(446\) | 7.26279 | 0.343903 | ||||||||
\(447\) | −14.6525 | − | 10.8148i | −0.693039 | − | 0.511524i | ||||
\(448\) | − | 1.43029i | − | 0.0675748i | ||||||
\(449\) | 27.0215 | 1.27522 | 0.637612 | − | 0.770358i | \(-0.279922\pi\) | ||||
0.637612 | + | 0.770358i | \(0.279922\pi\) | |||||||
\(450\) | 1.82853 | − | 14.8881i | 0.0861978 | − | 0.701833i | ||||
\(451\) | − | 20.3908i | − | 0.960166i | ||||||
\(452\) | −18.5351 | −0.871818 | ||||||||
\(453\) | −11.9697 | − | 8.83470i | −0.562386 | − | 0.415091i | ||||
\(454\) | −16.5730 | −0.777808 | ||||||||
\(455\) | 6.73883 | + | 1.44103i | 0.315921 | + | 0.0675566i | ||||
\(456\) | −5.80276 | + | 7.86188i | −0.271739 | + | 0.368166i | ||||
\(457\) | 4.77341 | 0.223291 | 0.111645 | − | 0.993748i | \(-0.464388\pi\) | ||||
0.111645 | + | 0.993748i | \(0.464388\pi\) | |||||||
\(458\) | − | 19.1781i | − | 0.896133i | ||||||
\(459\) | 1.60887 | − | 4.59631i | 0.0750954 | − | 0.214538i | ||||
\(460\) | −0.581900 | − | 0.124434i | −0.0271312 | − | 0.00580175i | ||||
\(461\) | −23.4023 | −1.08995 | −0.544976 | − | 0.838451i | \(-0.683461\pi\) | ||||
−0.544976 | + | 0.838451i | \(0.683461\pi\) | |||||||
\(462\) | −12.2425 | − | 9.03601i | −0.569570 | − | 0.420393i | ||||
\(463\) | 32.0488 | 1.48943 | 0.744717 | − | 0.667380i | \(-0.232584\pi\) | ||||
0.744717 | + | 0.667380i | \(0.232584\pi\) | |||||||
\(464\) | −3.72847 | −0.173090 | ||||||||
\(465\) | 3.56111 | − | 21.2678i | 0.165142 | − | 0.986270i | ||||
\(466\) | −19.6843 | −0.911858 | ||||||||
\(467\) | 16.2069 | 0.749965 | 0.374983 | − | 0.927032i | \(-0.377649\pi\) | ||||
0.374983 | + | 0.927032i | \(0.377649\pi\) | |||||||
\(468\) | 1.90488 | + | 6.17702i | 0.0880532 | + | 0.285533i | ||||
\(469\) | −14.1636 | −0.654013 | ||||||||
\(470\) | −2.21883 | + | 10.3761i | −0.102347 | + | 0.478614i | ||||
\(471\) | 12.5607 | + | 9.27088i | 0.578765 | + | 0.427180i | ||||
\(472\) | 5.39747i | 0.248439i | ||||||||
\(473\) | −3.57408 | −0.164337 | ||||||||
\(474\) | 2.89153 | + | 2.13420i | 0.132812 | + | 0.0980272i | ||||
\(475\) | 25.7408 | + | 11.5364i | 1.18107 | + | 0.529325i | ||||
\(476\) | −1.34045 | −0.0614392 | ||||||||
\(477\) | −17.4267 | + | 5.37409i | −0.797915 | + | 0.246063i | ||||
\(478\) | 2.93174 | 0.134095 | ||||||||
\(479\) | − | 31.7707i | − | 1.45164i | −0.687886 | − | 0.725819i | \(-0.741461\pi\) | ||
0.687886 | − | 0.725819i | \(-0.258539\pi\) | |||||||
\(480\) | −2.56627 | − | 2.90074i | −0.117134 | − | 0.132400i | ||||
\(481\) | 16.9231 | 0.771628 | ||||||||
\(482\) | 26.2006i | 1.19340i | ||||||||
\(483\) | 0.391501 | − | 0.530426i | 0.0178139 | − | 0.0241352i | ||||
\(484\) | 26.7253 | 1.21479 | ||||||||
\(485\) | −23.3654 | − | 4.99646i | −1.06097 | − | 0.226877i | ||||
\(486\) | −0.585621 | + | 15.5775i | −0.0265643 | + | 0.706608i | ||||
\(487\) | −36.9394 | −1.67389 | −0.836943 | − | 0.547290i | \(-0.815659\pi\) | ||||
−0.836943 | + | 0.547290i | \(0.815659\pi\) | |||||||
\(488\) | − | 9.71998i | − | 0.440003i | ||||||
\(489\) | 19.8503 | + | 14.6513i | 0.897663 | + | 0.662554i | ||||
\(490\) | −2.31657 | + | 10.8332i | −0.104652 | + | 0.489393i | ||||
\(491\) | 17.2323 | 0.777681 | 0.388840 | − | 0.921305i | \(-0.372876\pi\) | ||||
0.388840 | + | 0.921305i | \(0.372876\pi\) | |||||||
\(492\) | 4.62643 | + | 3.41471i | 0.208576 | + | 0.153947i | ||||
\(493\) | 3.49427i | 0.157374i | ||||||||
\(494\) | −12.1558 | −0.546915 | ||||||||
\(495\) | −41.0413 | + | 3.64007i | −1.84467 | + | 0.163609i | ||||
\(496\) | −3.50356 | − | 4.32724i | −0.157315 | − | 0.194299i | ||||
\(497\) | 1.53888 | 0.0690282 | ||||||||
\(498\) | −11.6364 | − | 8.58872i | −0.521441 | − | 0.384870i | ||||
\(499\) | 16.0253i | 0.717392i | 0.933454 | + | 0.358696i | \(0.116779\pi\) | ||||
−0.933454 | + | 0.358696i | \(0.883221\pi\) | |||||||
\(500\) | −6.60491 | + | 9.02082i | −0.295381 | + | 0.403423i | ||||
\(501\) | 14.1601 | + | 10.4514i | 0.632629 | + | 0.466936i | ||||
\(502\) | −16.0306 | −0.715482 | ||||||||
\(503\) | 26.5562 | 1.18408 | 0.592042 | − | 0.805907i | \(-0.298322\pi\) | ||||
0.592042 | + | 0.805907i | \(0.298322\pi\) | |||||||
\(504\) | 4.10032 | − | 1.26447i | 0.182643 | − | 0.0563238i | ||||
\(505\) | −27.7553 | − | 5.93520i | −1.23510 | − | 0.264113i | ||||
\(506\) | 1.63452i | 0.0726631i | ||||||||
\(507\) | 8.59613 | − | 11.6465i | 0.381768 | − | 0.517238i | ||||
\(508\) | −0.722563 | −0.0320585 | ||||||||
\(509\) | 38.8908 | 1.72380 | 0.861901 | − | 0.507076i | \(-0.169274\pi\) | ||||
0.861901 | + | 0.507076i | \(0.169274\pi\) | |||||||
\(510\) | −2.71853 | + | 2.40507i | −0.120378 | + | 0.106498i | ||||
\(511\) | − | 4.50051i | − | 0.199091i | ||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −27.6683 | − | 9.68484i | −1.22159 | − | 0.427596i | ||||
\(514\) | −18.9905 | −0.837634 | ||||||||
\(515\) | −31.3104 | − | 6.69542i | −1.37970 | − | 0.295036i | ||||
\(516\) | 0.598528 | − | 0.810917i | 0.0263487 | − | 0.0356986i | ||||
\(517\) | 29.1458 | 1.28183 | ||||||||
\(518\) | − | 11.2336i | − | 0.493577i | ||||||
\(519\) | −16.4047 | + | 22.2259i | −0.720086 | + | 0.975610i | ||||
\(520\) | 1.00751 | − | 4.71151i | 0.0441823 | − | 0.206614i | ||||
\(521\) | 7.52553i | 0.329700i | 0.986319 | + | 0.164850i | \(0.0527139\pi\) | ||||
−0.986319 | + | 0.164850i | \(0.947286\pi\) | |||||||
\(522\) | −3.29621 | − | 10.6887i | −0.144271 | − | 0.467833i | ||||
\(523\) | 16.6320 | 0.727268 | 0.363634 | − | 0.931542i | \(-0.381536\pi\) | ||||
0.363634 | + | 0.931542i | \(0.381536\pi\) | |||||||
\(524\) | − | 3.37246i | − | 0.147327i | ||||||
\(525\) | −6.08607 | − | 10.7884i | −0.265618 | − | 0.470844i | ||||
\(526\) | 21.8884i | 0.954378i | ||||||||
\(527\) | −4.05543 | + | 3.28349i | −0.176657 | + | 0.143031i | ||||
\(528\) | −6.31761 | + | 8.55943i | −0.274939 | + | 0.372501i | ||||
\(529\) | 22.9292 | 0.996921 | ||||||||
\(530\) | 13.2922 | + | 2.84241i | 0.577377 | + | 0.123466i | ||||
\(531\) | −15.4734 | + | 4.77170i | −0.671486 | + | 0.207074i | ||||
\(532\) | 8.06904i | 0.349837i | ||||||||
\(533\) | 7.15324i | 0.309841i | ||||||||
\(534\) | 6.36607 | − | 8.62508i | 0.275487 | − | 0.373244i | ||||
\(535\) | −0.918657 | + | 4.29600i | −0.0397170 | + | 0.185732i | ||||
\(536\) | 9.90260i | 0.427727i | ||||||||
\(537\) | 1.06369 | − | 1.44115i | 0.0459017 | − | 0.0621900i | ||||
\(538\) | 21.2950 | 0.918094 | ||||||||
\(539\) | 30.4296 | 1.31070 | ||||||||
\(540\) | 6.04703 | − | 9.92136i | 0.260223 | − | 0.426947i | ||||
\(541\) | 39.8624 | 1.71382 | 0.856909 | − | 0.515467i | \(-0.172382\pi\) | ||||
0.856909 | + | 0.515467i | \(0.172382\pi\) | |||||||
\(542\) | − | 11.2154i | − | 0.481741i | ||||||
\(543\) | 2.14457 | + | 1.58288i | 0.0920323 | + | 0.0679280i | ||||
\(544\) | 0.937186i | 0.0401815i | ||||||||
\(545\) | −5.08134 | + | 23.7623i | −0.217661 | + | 1.01787i | ||||
\(546\) | 4.29474 | + | 3.16989i | 0.183798 | + | 0.135659i | ||||
\(547\) | − | 37.8837i | − | 1.61979i | −0.586576 | − | 0.809894i | \(-0.699524\pi\) | ||
0.586576 | − | 0.809894i | \(-0.300476\pi\) | |||||||
\(548\) | 18.7748i | 0.802021i | ||||||||
\(549\) | 27.8650 | − | 8.59308i | 1.18925 | − | 0.366744i | ||||
\(550\) | 28.0247 | + | 12.5599i | 1.19498 | + | 0.535557i | ||||
\(551\) | 21.0344 | 0.896094 | ||||||||
\(552\) | −0.370852 | − | 0.273721i | −0.0157845 | − | 0.0116504i | ||||
\(553\) | 2.96772 | 0.126200 | ||||||||
\(554\) | 11.5071 | 0.488891 | ||||||||
\(555\) | −20.1557 | − | 22.7826i | −0.855562 | − | 0.967069i | ||||
\(556\) | − | 3.94403i | − | 0.167264i | ||||||
\(557\) | 46.5143i | 1.97087i | 0.170040 | + | 0.985437i | \(0.445610\pi\) | ||||
−0.170040 | + | 0.985437i | \(0.554390\pi\) | |||||||
\(558\) | 9.30789 | − | 13.8695i | 0.394034 | − | 0.587143i | ||||
\(559\) | 1.25381 | 0.0530307 | ||||||||
\(560\) | −3.12752 | − | 0.668789i | −0.132162 | − | 0.0282615i | ||||
\(561\) | 8.02177 | + | 5.92077i | 0.338679 | + | 0.249975i | ||||
\(562\) | 23.5749i | 0.994446i | ||||||||
\(563\) | 34.5665 | 1.45681 | 0.728403 | − | 0.685149i | \(-0.240263\pi\) | ||||
0.728403 | + | 0.685149i | \(0.240263\pi\) | |||||||
\(564\) | −4.88085 | + | 6.61283i | −0.205521 | + | 0.278450i | ||||
\(565\) | −8.66683 | + | 40.5295i | −0.364616 | + | 1.70509i | ||||
\(566\) | − | 16.0120i | − | 0.673036i | ||||||
\(567\) | 7.24989 | + | 10.6369i | 0.304467 | + | 0.446706i | ||||
\(568\) | − | 1.07592i | − | 0.0451447i | ||||||
\(569\) | −1.58064 | −0.0662640 | −0.0331320 | − | 0.999451i | \(-0.510548\pi\) | ||||
−0.0331320 | + | 0.999451i | \(0.510548\pi\) | |||||||
\(570\) | 14.4777 | + | 16.3646i | 0.606405 | + | 0.685439i | ||||
\(571\) | − | 42.0954i | − | 1.76164i | −0.473455 | − | 0.880818i | \(-0.656993\pi\) | ||
0.473455 | − | 0.880818i | \(-0.343007\pi\) | |||||||
\(572\) | −13.2343 | −0.553354 | ||||||||
\(573\) | 1.45896 | + | 1.07684i | 0.0609489 | + | 0.0449856i | ||||
\(574\) | 4.74834 | 0.198192 | ||||||||
\(575\) | −0.544181 | + | 1.21422i | −0.0226939 | + | 0.0506363i | ||||
\(576\) | −0.884063 | − | 2.86678i | −0.0368360 | − | 0.119449i | ||||
\(577\) | 18.4249i | 0.767037i | 0.923533 | + | 0.383519i | \(0.125288\pi\) | ||||
−0.923533 | + | 0.383519i | \(0.874712\pi\) | |||||||
\(578\) | −16.1217 | −0.670574 | ||||||||
\(579\) | −30.6027 | − | 22.5875i | −1.27180 | − | 0.938703i | ||||
\(580\) | −1.74340 | + | 8.15280i | −0.0723906 | + | 0.338527i | ||||
\(581\) | −11.9431 | −0.495482 | ||||||||
\(582\) | −14.8910 | − | 10.9909i | −0.617254 | − | 0.455588i | ||||
\(583\) | − | 37.3369i | − | 1.54634i | ||||||
\(584\) | −3.14657 | −0.130206 | ||||||||
\(585\) | 14.3976 | − | 1.27696i | 0.595267 | − | 0.0527959i | ||||
\(586\) | −12.2492 | −0.506011 | ||||||||
\(587\) | 14.3651i | 0.592912i | 0.955047 | + | 0.296456i | \(0.0958047\pi\) | ||||
−0.955047 | + | 0.296456i | \(0.904195\pi\) | |||||||
\(588\) | −5.09585 | + | 6.90412i | −0.210149 | + | 0.284721i | ||||
\(589\) | 19.7655 | + | 24.4124i | 0.814424 | + | 1.00589i | ||||
\(590\) | 11.8023 | + | 2.52380i | 0.485892 | + | 0.103903i | ||||
\(591\) | −32.4626 | − | 23.9602i | −1.33533 | − | 0.985593i | ||||
\(592\) | −7.85409 | −0.322801 | ||||||||
\(593\) | −14.0337 | −0.576295 | −0.288148 | − | 0.957586i | \(-0.593039\pi\) | ||||
−0.288148 | + | 0.957586i | \(0.593039\pi\) | |||||||
\(594\) | −30.1232 | − | 10.5441i | −1.23597 | − | 0.432631i | ||||
\(595\) | −0.626779 | + | 2.93106i | −0.0256954 | + | 0.120162i | ||||
\(596\) | 10.5144i | 0.430686i | ||||||||
\(597\) | 7.07288 | + | 5.22041i | 0.289474 | + | 0.213657i | ||||
\(598\) | − | 0.573399i | − | 0.0234480i | ||||||
\(599\) | − | 23.7354i | − | 0.969800i | −0.874569 | − | 0.484900i | \(-0.838856\pi\) | ||
0.874569 | − | 0.484900i | \(-0.161144\pi\) | |||||||
\(600\) | −7.54280 | + | 4.25513i | −0.307934 | + | 0.173715i | ||||
\(601\) | − | 41.9092i | − | 1.70951i | −0.519029 | − | 0.854756i | \(-0.673707\pi\) | ||
0.519029 | − | 0.854756i | \(-0.326293\pi\) | |||||||
\(602\) | − | 0.832285i | − | 0.0339214i | ||||||
\(603\) | −28.3886 | + | 8.75452i | −1.15607 | + | 0.356512i | ||||
\(604\) | 8.58926i | 0.349492i | ||||||||
\(605\) | 12.4965 | − | 58.4385i | 0.508055 | − | 2.37586i | ||||
\(606\) | −17.6888 | − | 13.0559i | −0.718559 | − | 0.530360i | ||||
\(607\) | 27.8920i | 1.13210i | 0.824370 | + | 0.566051i | \(0.191530\pi\) | ||||
−0.824370 | + | 0.566051i | \(0.808470\pi\) | |||||||
\(608\) | 5.64155 | 0.228795 | ||||||||
\(609\) | −7.43161 | − | 5.48519i | −0.301144 | − | 0.222271i | ||||
\(610\) | −21.2540 | − | 4.54496i | −0.860550 | − | 0.184020i | ||||
\(611\) | −10.2245 | −0.413641 | ||||||||
\(612\) | −2.68671 | + | 0.828531i | −0.108604 | + | 0.0334914i | ||||
\(613\) | 1.56857 | 0.0633540 | 0.0316770 | − | 0.999498i | \(-0.489915\pi\) | ||||
0.0316770 | + | 0.999498i | \(0.489915\pi\) | |||||||
\(614\) | − | 28.8870i | − | 1.16579i | ||||||
\(615\) | 9.62999 | − | 8.51962i | 0.388319 | − | 0.343544i | ||||
\(616\) | 8.78497i | 0.353957i | ||||||||
\(617\) | 46.7418 | 1.88175 | 0.940877 | − | 0.338749i | \(-0.110004\pi\) | ||||
0.940877 | + | 0.338749i | \(0.110004\pi\) | |||||||
\(618\) | −19.9545 | − | 14.7282i | −0.802688 | − | 0.592455i | ||||
\(619\) | 29.9363i | 1.20324i | 0.798782 | + | 0.601621i | \(0.205478\pi\) | ||||
−0.798782 | + | 0.601621i | \(0.794522\pi\) | |||||||
\(620\) | −11.1003 | + | 5.63763i | −0.445800 | + | 0.226413i | ||||
\(621\) | 0.456843 | − | 1.30514i | 0.0183325 | − | 0.0523734i | ||||
\(622\) | 8.54298i | 0.342542i | ||||||||
\(623\) | − | 8.85236i | − | 0.354662i | ||||||
\(624\) | 2.21626 | − | 3.00271i | 0.0887215 | − | 0.120204i | ||||
\(625\) | 16.6368 | + | 18.6606i | 0.665473 | + | 0.746422i | ||||
\(626\) | 31.8575 | 1.27328 | ||||||||
\(627\) | 35.6411 | − | 48.2884i | 1.42337 | − | 1.92845i | ||||
\(628\) | − | 9.01331i | − | 0.359670i | ||||||
\(629\) | 7.36074i | 0.293492i | ||||||||
\(630\) | −0.847651 | − | 9.55715i | −0.0337712 | − | 0.380766i | ||||
\(631\) | − | 30.7486i | − | 1.22408i | −0.790826 | − | 0.612041i | \(-0.790349\pi\) | ||
0.790826 | − | 0.612041i | \(-0.209651\pi\) | |||||||
\(632\) | − | 2.07491i | − | 0.0825355i | ||||||
\(633\) | −19.1827 | + | 25.9897i | −0.762442 | + | 1.03300i | ||||
\(634\) | 7.46567 | 0.296500 | ||||||||
\(635\) | −0.337863 | + | 1.57998i | −0.0134077 | + | 0.0626996i | ||||
\(636\) | 8.47129 | + | 6.25256i | 0.335909 | + | 0.247930i | ||||
\(637\) | −10.6749 | −0.422956 | ||||||||
\(638\) | 22.9006 | 0.906645 | ||||||||
\(639\) | 3.08443 | − | 0.951183i | 0.122018 | − | 0.0376282i | ||||
\(640\) | −0.467590 | + | 2.18663i | −0.0184831 | + | 0.0864342i | ||||
\(641\) | −18.5868 | −0.734134 | −0.367067 | − | 0.930195i | \(-0.619638\pi\) | ||||
−0.367067 | + | 0.930195i | \(0.619638\pi\) | |||||||
\(642\) | −2.02081 | + | 2.73789i | −0.0797549 | + | 0.108056i | ||||
\(643\) | −12.1089 | −0.477527 | −0.238763 | − | 0.971078i | \(-0.576742\pi\) | ||||
−0.238763 | + | 0.971078i | \(0.576742\pi\) | |||||||
\(644\) | −0.380624 | −0.0149987 | ||||||||
\(645\) | −1.49331 | − | 1.68794i | −0.0587991 | − | 0.0664625i | ||||
\(646\) | − | 5.28718i | − | 0.208021i | ||||||
\(647\) | − | 36.0790i | − | 1.41841i | −0.705001 | − | 0.709206i | \(-0.749054\pi\) | ||
0.705001 | − | 0.709206i | \(-0.250946\pi\) | |||||||
\(648\) | 7.43686 | − | 5.06883i | 0.292148 | − | 0.199122i | ||||
\(649\) | − | 33.1518i | − | 1.30132i | ||||||
\(650\) | −9.83124 | − | 4.40611i | −0.385613 | − | 0.172822i | ||||
\(651\) | −0.617246 | − | 13.7794i | −0.0241918 | − | 0.540057i | ||||
\(652\) | − | 14.2442i | − | 0.557848i | ||||||
\(653\) | −18.9900 | −0.743136 | −0.371568 | − | 0.928406i | \(-0.621180\pi\) | ||||
−0.371568 | + | 0.928406i | \(0.621180\pi\) | |||||||
\(654\) | −11.1776 | + | 15.1440i | −0.437080 | + | 0.592179i | ||||
\(655\) | −7.37434 | − | 1.57693i | −0.288139 | − | 0.0616158i | ||||
\(656\) | − | 3.31985i | − | 0.129618i | ||||||
\(657\) | −2.78177 | − | 9.02054i | −0.108527 | − | 0.351925i | ||||
\(658\) | 6.78708i | 0.264588i | ||||||||
\(659\) | 42.3138i | 1.64831i | 0.566362 | + | 0.824157i | \(0.308350\pi\) | ||||
−0.566362 | + | 0.824157i | \(0.691650\pi\) | |||||||
\(660\) | 15.7623 | + | 17.8166i | 0.613545 | + | 0.693510i | ||||
\(661\) | −8.71066 | −0.338805 | −0.169403 | − | 0.985547i | \(-0.554184\pi\) | ||||
−0.169403 | + | 0.985547i | \(0.554184\pi\) | |||||||
\(662\) | − | 34.6148i | − | 1.34534i | ||||||
\(663\) | −2.81409 | − | 2.07705i | −0.109290 | − | 0.0806659i | ||||
\(664\) | 8.35010i | 0.324047i | ||||||||
\(665\) | 17.6440 | + | 3.77300i | 0.684206 | + | 0.146311i | ||||
\(666\) | −6.94351 | − | 22.5159i | −0.269055 | − | 0.872475i | ||||
\(667\) | 0.992210i | 0.0384185i | ||||||||
\(668\) | − | 10.1611i | − | 0.393144i | ||||||
\(669\) | 7.47033 | − | 10.1212i | 0.288820 | − | 0.391308i | ||||
\(670\) | 21.6533 | + | 4.63035i | 0.836542 | + | 0.178886i | ||||
\(671\) | 59.7010i | 2.30473i | ||||||||
\(672\) | −1.99320 | − | 1.47116i | −0.0768895 | − | 0.0567513i | ||||
\(673\) | 19.9893 | 0.770533 | 0.385266 | − | 0.922805i | \(-0.374110\pi\) | ||||
0.385266 | + | 0.922805i | \(0.374110\pi\) | |||||||
\(674\) | −24.5024 | −0.943795 | ||||||||
\(675\) | −18.8668 | − | 17.8618i | −0.726185 | − | 0.687499i | ||||
\(676\) | −8.35731 | −0.321435 | ||||||||
\(677\) | 19.5949i | 0.753092i | 0.926398 | + | 0.376546i | \(0.122888\pi\) | ||||
−0.926398 | + | 0.376546i | \(0.877112\pi\) | |||||||
\(678\) | −19.0648 | + | 25.8299i | −0.732178 | + | 0.991993i | ||||
\(679\) | −15.2834 | −0.586524 | ||||||||
\(680\) | 2.04928 | + | 0.438218i | 0.0785863 | + | 0.0168049i | ||||
\(681\) | −17.0466 | + | 23.0956i | −0.653226 | + | 0.885024i | ||||
\(682\) | 21.5192 | + | 26.5783i | 0.824013 | + | 1.01774i | ||||
\(683\) | 18.6472 | 0.713516 | 0.356758 | − | 0.934197i | \(-0.383882\pi\) | ||||
0.356758 | + | 0.934197i | \(0.383882\pi\) | |||||||
\(684\) | 4.98748 | + | 16.1731i | 0.190701 | + | 0.618393i | ||||
\(685\) | 41.0537 | + | 8.77892i | 1.56858 | + | 0.335425i | ||||
\(686\) | 17.0981i | 0.652807i | ||||||||
\(687\) | −26.7260 | − | 19.7261i | −1.01966 | − | 0.752599i | ||||
\(688\) | −0.581900 | −0.0221847 | ||||||||
\(689\) | 13.0980i | 0.498996i | ||||||||
\(690\) | −0.771935 | + | 0.682928i | −0.0293871 | + | 0.0259986i | ||||
\(691\) | 12.0491 | 0.458371 | 0.229186 | − | 0.973383i | \(-0.426394\pi\) | ||||
0.229186 | + | 0.973383i | \(0.426394\pi\) | |||||||
\(692\) | 15.9489 | 0.606288 | ||||||||
\(693\) | −25.1846 | + | 7.76647i | −0.956683 | + | 0.295024i | ||||
\(694\) | − | 20.1749i | − | 0.765827i | ||||||
\(695\) | −8.62414 | − | 1.84419i | −0.327132 | − | 0.0699540i | ||||
\(696\) | −3.83502 | + | 5.19588i | −0.145366 | + | 0.196949i | ||||
\(697\) | −3.11131 | −0.117849 | ||||||||
\(698\) | 16.0548 | 0.607684 | ||||||||
\(699\) | −20.2468 | + | 27.4314i | −0.765805 | + | 1.03755i | ||||
\(700\) | −2.92479 | + | 6.52601i | −0.110547 | + | 0.246660i | ||||
\(701\) | − | 19.5578i | − | 0.738689i | −0.929293 | − | 0.369344i | \(-0.879582\pi\) | ||
0.929293 | − | 0.369344i | \(-0.120418\pi\) | |||||||
\(702\) | 10.5674 | + | 3.69896i | 0.398841 | + | 0.139608i | ||||
\(703\) | 44.3092 | 1.67115 | ||||||||
\(704\) | 6.14209 | 0.231489 | ||||||||
\(705\) | 12.1776 | + | 13.7647i | 0.458634 | + | 0.518409i | ||||
\(706\) | 32.4059i | 1.21961i | ||||||||
\(707\) | −18.1549 | −0.682786 | ||||||||
\(708\) | 7.52174 | + | 5.55170i | 0.282684 | + | 0.208646i | ||||
\(709\) | − | 12.5711i | − | 0.472118i | −0.971739 | − | 0.236059i | \(-0.924144\pi\) | ||
0.971739 | − | 0.236059i | \(-0.0758558\pi\) | |||||||
\(710\) | −2.35265 | − | 0.503090i | −0.0882932 | − | 0.0188806i | ||||
\(711\) | 5.94832 | − | 1.83435i | 0.223079 | − | 0.0687936i | ||||
\(712\) | −6.18921 | −0.231950 | ||||||||
\(713\) | −1.15155 | + | 0.932358i | −0.0431260 | + | 0.0349171i | ||||
\(714\) | −1.37875 | + | 1.86800i | −0.0515984 | + | 0.0699082i | ||||
\(715\) | −6.18823 | + | 28.9386i | −0.231427 | + | 1.08224i | ||||
\(716\) | −1.03414 | −0.0386477 | ||||||||
\(717\) | 3.01552 | − | 4.08558i | 0.112617 | − | 0.152579i | ||||
\(718\) | − | 13.4229i | − | 0.500939i | ||||||
\(719\) | 29.9896 | 1.11842 | 0.559212 | − | 0.829025i | \(-0.311104\pi\) | ||||
0.559212 | + | 0.829025i | \(0.311104\pi\) | |||||||
\(720\) | −6.68197 | + | 0.592643i | −0.249022 | + | 0.0220865i | ||||
\(721\) | −20.4803 | −0.762727 | ||||||||
\(722\) | −12.8271 | −0.477374 | ||||||||
\(723\) | 36.5123 | + | 26.9493i | 1.35791 | + | 1.00225i | ||||
\(724\) | − | 1.53891i | − | 0.0571930i | ||||||
\(725\) | 17.0120 | + | 7.62433i | 0.631809 | + | 0.283161i | ||||
\(726\) | 27.4890 | − | 37.2436i | 1.02021 | − | 1.38224i | ||||
\(727\) | 7.68466i | 0.285008i | 0.989794 | + | 0.142504i | \(0.0455154\pi\) | ||||
−0.989794 | + | 0.142504i | \(0.954485\pi\) | |||||||
\(728\) | − | 3.08183i | − | 0.114220i | ||||||
\(729\) | 21.1059 | + | 16.8387i | 0.781699 | + | 0.623655i | ||||
\(730\) | −1.47131 | + | 6.88040i | −0.0544555 | + | 0.254655i | ||||
\(731\) | 0.545348i | 0.0201704i | ||||||||
\(732\) | −13.5455 | − | 9.99774i | −0.500654 | − | 0.369527i | ||||
\(733\) | 36.7050i | 1.35573i | 0.735187 | + | 0.677865i | \(0.237094\pi\) | ||||
−0.735187 | + | 0.677865i | \(0.762906\pi\) | |||||||
\(734\) | −31.8055 | −1.17396 | ||||||||
\(735\) | 12.7140 | + | 14.3710i | 0.468963 | + | 0.530084i | ||||
\(736\) | 0.266117i | 0.00980920i | ||||||||
\(737\) | − | 60.8227i | − | 2.24043i | ||||||
\(738\) | 9.51727 | − | 2.93495i | 0.350336 | − | 0.108037i | ||||
\(739\) | − | 2.40715i | − | 0.0885485i | −0.999019 | − | 0.0442742i | \(-0.985902\pi\) | ||
0.999019 | − | 0.0442742i | \(-0.0140975\pi\) | |||||||
\(740\) | −3.67249 | + | 17.1740i | −0.135003 | + | 0.631329i | ||||
\(741\) | −12.5031 | + | 16.9399i | −0.459315 | + | 0.622303i | ||||
\(742\) | 8.69451 | 0.319186 | ||||||||
\(743\) | − | 18.2769i | − | 0.670516i | −0.942126 | − | 0.335258i | \(-0.891177\pi\) | ||
0.942126 | − | 0.335258i | \(-0.108823\pi\) | |||||||
\(744\) | −9.63399 | + | 0.431553i | −0.353199 | + | 0.0158215i | ||||
\(745\) | 22.9911 | + | 4.91641i | 0.842328 | + | 0.180123i | ||||
\(746\) | − | 23.7216i | − | 0.868508i | ||||||
\(747\) | −23.9379 | + | 7.38202i | −0.875843 | + | 0.270094i | ||||
\(748\) | − | 5.75628i | − | 0.210471i | ||||||
\(749\) | 2.81004i | 0.102677i | ||||||||
\(750\) | 5.77747 | + | 18.4830i | 0.210963 | + | 0.674903i | ||||
\(751\) | −3.72662 | −0.135986 | −0.0679932 | − | 0.997686i | \(-0.521660\pi\) | ||||
−0.0679932 | + | 0.997686i | \(0.521660\pi\) | |||||||
\(752\) | 4.74525 | 0.173041 | ||||||||
\(753\) | −16.4887 | + | 22.3398i | −0.600883 | + | 0.814107i | ||||
\(754\) | −8.03371 | −0.292570 | ||||||||
\(755\) | 18.7815 | + | 4.01625i | 0.683530 | + | 0.146166i | ||||
\(756\) | 2.45538 | − | 7.01468i | 0.0893012 | − | 0.255121i | ||||
\(757\) | −29.0108 | −1.05442 | −0.527208 | − | 0.849736i | \(-0.676761\pi\) | ||||
−0.527208 | + | 0.849736i | \(0.676761\pi\) | |||||||
\(758\) | 6.39563 | 0.232300 | ||||||||
\(759\) | 2.27781 | + | 1.68122i | 0.0826792 | + | 0.0610245i | ||||
\(760\) | 2.63793 | − | 12.3360i | 0.0956878 | − | 0.447473i | ||||
\(761\) | −23.8506 | −0.864583 | −0.432291 | − | 0.901734i | \(-0.642295\pi\) | ||||
−0.432291 | + | 0.901734i | \(0.642295\pi\) | |||||||
\(762\) | −0.743211 | + | 1.00694i | −0.0269237 | + | 0.0364776i | ||||
\(763\) | 15.5431i | 0.562697i | ||||||||
\(764\) | − | 1.04692i | − | 0.0378764i | ||||||
\(765\) | 0.555417 | + | 6.26225i | 0.0200811 | + | 0.226412i | ||||
\(766\) | − | 8.99421i | − | 0.324974i | ||||||
\(767\) | 11.6299i | 0.419930i | ||||||||
\(768\) | −1.02858 | + | 1.39357i | −0.0371155 | + | 0.0502861i | ||||
\(769\) | −3.98799 | −0.143811 | −0.0719054 | − | 0.997411i | \(-0.522908\pi\) | ||||
−0.0719054 | + | 0.997411i | \(0.522908\pi\) | |||||||
\(770\) | 19.2095 | + | 4.10776i | 0.692262 | + | 0.148033i | ||||
\(771\) | −19.5331 | + | 26.4645i | −0.703469 | + | 0.953096i | ||||
\(772\) | 21.9599i | 0.790355i | ||||||||
\(773\) | − | 33.0339i | − | 1.18815i | −0.804411 | − | 0.594074i | \(-0.797519\pi\) | ||
0.804411 | − | 0.594074i | \(-0.202481\pi\) | |||||||
\(774\) | −0.514436 | − | 1.66818i | −0.0184910 | − | 0.0599615i | ||||
\(775\) | 7.13702 | + | 26.9084i | 0.256369 | + | 0.966579i | ||||
\(776\) | 10.6856i | 0.383589i | ||||||||
\(777\) | −15.6548 | − | 11.5546i | −0.561613 | − | 0.414520i | ||||
\(778\) | 18.6693 | 0.669326 | ||||||||
\(779\) | 18.7291i | 0.671039i | ||||||||
\(780\) | −5.52951 | − | 6.25018i | −0.197988 | − | 0.223792i | ||||
\(781\) | 6.60841i | 0.236468i | ||||||||
\(782\) | 0.249401 | 0.00891856 | ||||||||
\(783\) | −18.2859 | − | 6.40067i | −0.653483 | − | 0.228741i | ||||
\(784\) | 4.95427 | 0.176938 | ||||||||
\(785\) | −19.7088 | − | 4.21453i | −0.703437 | − | 0.150423i | ||||
\(786\) | −4.69976 | − | 3.46884i | −0.167635 | − | 0.123729i | ||||
\(787\) | −3.70275 | −0.131989 | −0.0659944 | − | 0.997820i | \(-0.521022\pi\) | ||||
−0.0659944 | + | 0.997820i | \(0.521022\pi\) | |||||||
\(788\) | 23.2946i | 0.829835i | ||||||||
\(789\) | 30.5029 | + | 22.5138i | 1.08593 | + | 0.801514i | ||||
\(790\) | −4.53707 | − | 0.970207i | −0.161422 | − | 0.0345184i | ||||
\(791\) | 26.5106i | 0.942607i | ||||||||
\(792\) | 5.43000 | + | 17.6080i | 0.192947 | + | 0.625674i | ||||
\(793\) | − | 20.9435i | − | 0.743727i | ||||||
\(794\) | − | 1.03561i | − | 0.0367525i | ||||||
\(795\) | 17.6331 | − | 15.6000i | 0.625383 | − | 0.553274i | ||||
\(796\) | − | 5.07538i | − | 0.179892i | ||||||
\(797\) | 17.0487i | 0.603897i | 0.953324 | + | 0.301949i | \(0.0976371\pi\) | ||||
−0.953324 | + | 0.301949i | \(0.902363\pi\) | |||||||
\(798\) | 11.2448 | + | 8.29962i | 0.398060 | + | 0.293804i | ||||
\(799\) | − | 4.44718i | − | 0.157330i | ||||||
\(800\) | 4.56272 | + | 2.04489i | 0.161316 | + | 0.0722979i | ||||
\(801\) | −5.47165 | − | 17.7431i | −0.193331 | − | 0.626922i | ||||
\(802\) | −23.1541 | −0.817599 | ||||||||
\(803\) | 19.3266 | 0.682019 | ||||||||
\(804\) | 13.7999 | + | 10.1856i | 0.486687 | + | 0.359218i | ||||
\(805\) | −0.177976 | + | 0.832285i | −0.00627283 | + | 0.0293342i | ||||
\(806\) | −7.54909 | − | 9.32387i | −0.265905 | − | 0.328419i | ||||
\(807\) | 21.9036 | − | 29.6761i | 0.771042 | − | 1.04465i | ||||
\(808\) | 12.6932i | 0.446545i | ||||||||
\(809\) | −12.2057 | −0.429131 | −0.214565 | − | 0.976710i | \(-0.568833\pi\) | ||||
−0.214565 | + | 0.976710i | \(0.568833\pi\) | |||||||
\(810\) | −7.60626 | − | 18.6318i | −0.267257 | − | 0.654655i | ||||
\(811\) | −8.81711 | −0.309611 | −0.154805 | − | 0.987945i | \(-0.549475\pi\) | ||||
−0.154805 | + | 0.987945i | \(0.549475\pi\) | |||||||
\(812\) | 5.33280i | 0.187144i | ||||||||
\(813\) | −15.6294 | − | 11.5359i | −0.548146 | − | 0.404580i | ||||
\(814\) | 48.2405 | 1.69083 | ||||||||
\(815\) | −31.1469 | − | 6.66047i | −1.09103 | − | 0.233306i | ||||
\(816\) | 1.30603 | + | 0.963966i | 0.0457203 | + | 0.0337456i | ||||
\(817\) | 3.28282 | 0.114851 | ||||||||
\(818\) | 23.5176i | 0.822274i | ||||||||
\(819\) | 8.83493 | − | 2.72453i | 0.308717 | − | 0.0952028i | ||||
\(820\) | −7.25928 | − | 1.55233i | −0.253505 | − | 0.0542096i | ||||
\(821\) | −46.0522 | −1.60723 | −0.803617 | − | 0.595147i | \(-0.797094\pi\) | ||||
−0.803617 | + | 0.595147i | \(0.797094\pi\) | |||||||
\(822\) | 26.1640 | + | 19.3113i | 0.912575 | + | 0.673561i | ||||
\(823\) | 49.1211 | 1.71225 | 0.856127 | − | 0.516765i | \(-0.172864\pi\) | ||||
0.856127 | + | 0.516765i | \(0.172864\pi\) | |||||||
\(824\) | 14.3190i | 0.498826i | ||||||||
\(825\) | 46.3286 | − | 26.1354i | 1.61295 | − | 0.909918i | ||||
\(826\) | 7.71994 | 0.268611 | ||||||||
\(827\) | − | 4.36099i | − | 0.151646i | −0.997121 | − | 0.0758232i | \(-0.975842\pi\) | ||
0.997121 | − | 0.0758232i | \(-0.0241585\pi\) | |||||||
\(828\) | −0.762899 | + | 0.235264i | −0.0265126 | + | 0.00817600i | ||||
\(829\) | 54.4132i | 1.88985i | 0.327288 | + | 0.944925i | \(0.393865\pi\) | ||||
−0.327288 | + | 0.944925i | \(0.606135\pi\) | |||||||
\(830\) | 18.2586 | + | 3.90442i | 0.633766 | + | 0.135525i | ||||
\(831\) | 11.8360 | − | 16.0360i | 0.410585 | − | 0.556282i | ||||
\(832\) | −2.15469 | −0.0747004 | ||||||||
\(833\) | − | 4.64307i | − | 0.160873i | ||||||
\(834\) | −5.49627 | − | 4.05673i | −0.190320 | − | 0.140473i | ||||
\(835\) | −22.2185 | − | 4.75122i | −0.768904 | − | 0.164423i | ||||
\(836\) | −34.6509 | −1.19843 | ||||||||
\(837\) | −9.75422 | − | 27.2370i | −0.337155 | − | 0.941449i | ||||
\(838\) | 29.4500i | 1.01733i | ||||||||
\(839\) | 13.8190i | 0.477084i | 0.971132 | + | 0.238542i | \(0.0766695\pi\) | ||||
−0.971132 | + | 0.238542i | \(0.923330\pi\) | |||||||
\(840\) | −4.14889 | + | 3.67051i | −0.143150 | + | 0.126644i | ||||
\(841\) | −15.0985 | −0.520637 | ||||||||
\(842\) | 25.1408 | 0.866409 | ||||||||
\(843\) | 32.8532 | + | 24.2485i | 1.13152 | + | 0.835164i | ||||
\(844\) | 18.6497 | 0.641950 | ||||||||
\(845\) | −3.90779 | + | 18.2744i | −0.134432 | + | 0.628657i | ||||
\(846\) | 4.19510 | + | 13.6036i | 0.144231 | + | 0.467701i | ||||
\(847\) | − | 38.2249i | − | 1.31342i | ||||||
\(848\) | − | 6.07885i | − | 0.208749i | ||||||
\(849\) | −22.3139 | − | 16.4696i | −0.765810 | − | 0.565235i | ||||
\(850\) | 1.91644 | − | 4.27611i | 0.0657335 | − | 0.146670i | ||||
\(851\) | 2.09011i | 0.0716479i | ||||||||
\(852\) | −1.49937 | − | 1.10667i | −0.0513676 | − | 0.0379138i | ||||
\(853\) | 3.77301i | 0.129185i | 0.997912 | + | 0.0645927i | \(0.0205748\pi\) | ||||
−0.997912 | + | 0.0645927i | \(0.979425\pi\) | |||||||
\(854\) | −13.9024 | −0.475730 | ||||||||
\(855\) | 37.6967 | − | 3.34342i | 1.28920 | − | 0.114343i | ||||
\(856\) | 1.96466 | 0.0671508 | ||||||||
\(857\) | −13.7021 | −0.468056 | −0.234028 | − | 0.972230i | \(-0.575191\pi\) | ||||
−0.234028 | + | 0.972230i | \(0.575191\pi\) | |||||||
\(858\) | −13.6125 | + | 18.4429i | −0.464723 | + | 0.629630i | ||||
\(859\) | 8.73138i | 0.297911i | 0.988844 | + | 0.148955i | \(0.0475911\pi\) | ||||
−0.988844 | + | 0.148955i | \(0.952409\pi\) | |||||||
\(860\) | −0.272090 | + | 1.27240i | −0.00927821 | + | 0.0433885i | ||||
\(861\) | 4.88403 | − | 6.61713i | 0.166447 | − | 0.225511i | ||||
\(862\) | − | 38.4053i | − | 1.30809i | ||||||
\(863\) | − | 51.8139i | − | 1.76377i | −0.471468 | − | 0.881883i | \(-0.656276\pi\) | ||
0.471468 | − | 0.881883i | \(-0.343724\pi\) | |||||||
\(864\) | −4.90438 | − | 1.71670i | −0.166850 | − | 0.0584033i | ||||
\(865\) | 7.45756 | − | 34.8745i | 0.253565 | − | 1.18577i | ||||
\(866\) | 25.1896 | 0.855978 | ||||||||
\(867\) | −16.5824 | + | 22.4667i | −0.563167 | + | 0.763008i | ||||
\(868\) | −6.18921 | + | 5.01111i | −0.210075 | + | 0.170088i | ||||
\(869\) | 12.7443i | 0.432321i | ||||||||
\(870\) | 9.56827 | + | 10.8153i | 0.324395 | + | 0.366674i | ||||
\(871\) | 21.3370i | 0.722978i | ||||||||
\(872\) | 10.8671 | 0.368006 | ||||||||
\(873\) | −30.6331 | + | 9.44671i | −1.03677 | + | 0.319723i | ||||
\(874\) | − | 1.50131i | − | 0.0507826i | ||||||
\(875\) | 12.9024 | + | 9.44693i | 0.436180 | + | 0.319365i | ||||
\(876\) | −3.23649 | + | 4.38497i | −0.109351 | + | 0.148154i | ||||
\(877\) | − | 3.05904i | − | 0.103296i | −0.998665 | − | 0.0516482i | \(-0.983553\pi\) | ||
0.998665 | − | 0.0516482i | \(-0.0164474\pi\) | |||||||
\(878\) | 0.444962 | 0.0150167 | ||||||||
\(879\) | −12.5993 | + | 17.0701i | −0.424963 | + | 0.575761i | ||||
\(880\) | 2.87198 | − | 13.4305i | 0.0968145 | − | 0.452742i | ||||
\(881\) | 27.5213 | 0.927215 | 0.463607 | − | 0.886041i | \(-0.346555\pi\) | ||||
0.463607 | + | 0.886041i | \(0.346555\pi\) | |||||||
\(882\) | 4.37989 | + | 14.2028i | 0.147479 | + | 0.478234i | ||||
\(883\) | −31.9348 | −1.07469 | −0.537346 | − | 0.843362i | \(-0.680573\pi\) | ||||
−0.537346 | + | 0.843362i | \(0.680573\pi\) | |||||||
\(884\) | 2.01934i | 0.0679179i | ||||||||
\(885\) | 15.6566 | − | 13.8514i | 0.526292 | − | 0.465608i | ||||
\(886\) | −22.7564 | −0.764518 | ||||||||
\(887\) | −9.83965 | −0.330383 | −0.165191 | − | 0.986262i | \(-0.552824\pi\) | ||||
−0.165191 | + | 0.986262i | \(0.552824\pi\) | |||||||
\(888\) | −8.07852 | + | 10.9452i | −0.271098 | + | 0.367297i | ||||
\(889\) | 1.03347i | 0.0346616i | ||||||||
\(890\) | −2.89401 | + | 13.5335i | −0.0970075 | + | 0.453645i | ||||
\(891\) | −45.6779 | + | 31.1332i | −1.53027 | + | 1.04300i | ||||
\(892\) | −7.26279 | −0.243176 | ||||||||
\(893\) | −26.7706 | −0.895842 | ||||||||
\(894\) | 14.6525 | + | 10.8148i | 0.490053 | + | 0.361702i | ||||
\(895\) | −0.483554 | + | 2.26129i | −0.0161634 | + | 0.0755864i | ||||
\(896\) | 1.43029i | 0.0477826i | ||||||||
\(897\) | −0.799071 | − | 0.589785i | −0.0266802 | − | 0.0196923i | ||||
\(898\) | −27.0215 | −0.901719 | ||||||||
\(899\) | 13.0629 | + | 16.1340i | 0.435674 | + | 0.538100i | ||||
\(900\) | −1.82853 | + | 14.8881i | −0.0609510 | + | 0.496271i | ||||
\(901\) | −5.69701 | −0.189795 | ||||||||
\(902\) | 20.3908i | 0.678940i | ||||||||
\(903\) | −1.15985 | − | 0.856068i | −0.0385972 | − | 0.0284882i | ||||
\(904\) | 18.5351 | 0.616469 | ||||||||
\(905\) | −3.36502 | − | 0.719577i | −0.111857 | − | 0.0239195i | ||||
\(906\) | 11.9697 | + | 8.83470i | 0.397667 | + | 0.293513i | ||||
\(907\) | 12.4039i | 0.411866i | 0.978566 | + | 0.205933i | \(0.0660229\pi\) | ||||
−0.978566 | + | 0.205933i | \(0.933977\pi\) | |||||||
\(908\) | 16.5730 | 0.549993 | ||||||||
\(909\) | −36.3886 | + | 11.2216i | −1.20693 | + | 0.372196i | ||||
\(910\) | −6.73883 | − | 1.44103i | −0.223390 | − | 0.0477697i | ||||
\(911\) | −8.44554 | −0.279813 | −0.139907 | − | 0.990165i | \(-0.544680\pi\) | ||||
−0.139907 | + | 0.990165i | \(0.544680\pi\) | |||||||
\(912\) | 5.80276 | − | 7.86188i | 0.192149 | − | 0.260333i | ||||
\(913\) | − | 51.2871i | − | 1.69736i | ||||||
\(914\) | −4.77341 | −0.157890 | ||||||||
\(915\) | −28.1951 | + | 24.9441i | −0.932101 | + | 0.824626i | ||||
\(916\) | 19.1781i | 0.633662i | ||||||||
\(917\) | −4.82360 | −0.159289 | ||||||||
\(918\) | −1.60887 | + | 4.59631i | −0.0531005 | + | 0.151701i | ||||
\(919\) | 27.6348 | 0.911589 | 0.455795 | − | 0.890085i | \(-0.349355\pi\) | ||||
0.455795 | + | 0.890085i | \(0.349355\pi\) | |||||||
\(920\) | 0.581900 | + | 0.124434i | 0.0191847 | + | 0.00410245i | ||||
\(921\) | −40.2561 | − | 29.7125i | −1.32648 | − | 0.979061i | ||||
\(922\) | 23.4023 | 0.770713 | ||||||||
\(923\) | − | 2.31828i | − | 0.0763070i | ||||||
\(924\) | 12.2425 | + | 9.03601i | 0.402747 | + | 0.297263i | ||||
\(925\) | 35.8360 | + | 16.0608i | 1.17828 | + | 0.528075i | ||||
\(926\) | −32.0488 | −1.05319 | ||||||||
\(927\) | −41.0495 | + | 12.6589i | −1.34824 | + | 0.415773i | ||||
\(928\) | 3.72847 | 0.122393 | ||||||||
\(929\) | −36.4188 | −1.19486 | −0.597431 | − | 0.801920i | \(-0.703812\pi\) | ||||
−0.597431 | + | 0.801920i | \(0.703812\pi\) | |||||||
\(930\) | −3.56111 | + | 21.2678i | −0.116773 | + | 0.697398i | ||||
\(931\) | −27.9498 | −0.916017 | ||||||||
\(932\) | 19.6843 | 0.644781 | ||||||||
\(933\) | 11.9052 | + | 8.78711i | 0.389760 | + | 0.287677i | ||||
\(934\) | −16.2069 | −0.530306 | ||||||||
\(935\) | −12.5869 | − | 2.69158i | −0.411635 | − | 0.0880240i | ||||
\(936\) | −1.90488 | − | 6.17702i | −0.0622630 | − | 0.201902i | ||||
\(937\) | − | 23.3601i | − | 0.763142i | −0.924340 | − | 0.381571i | \(-0.875383\pi\) | ||
0.924340 | − | 0.381571i | \(-0.124617\pi\) | |||||||
\(938\) | 14.1636 | 0.462457 | ||||||||
\(939\) | 32.7679 | − | 44.3957i | 1.06934 | − | 1.44880i | ||||
\(940\) | 2.21883 | − | 10.3761i | 0.0723703 | − | 0.338432i | ||||
\(941\) | −25.0131 | −0.815404 | −0.407702 | − | 0.913115i | \(-0.633670\pi\) | ||||
−0.407702 | + | 0.913115i | \(0.633670\pi\) | |||||||
\(942\) | −12.5607 | − | 9.27088i | −0.409249 | − | 0.302062i | ||||
\(943\) | −0.883467 | −0.0287697 | ||||||||
\(944\) | − | 5.39747i | − | 0.175673i | ||||||
\(945\) | −14.1904 | − | 8.64900i | −0.461614 | − | 0.281352i | ||||
\(946\) | 3.57408 | 0.116203 | ||||||||
\(947\) | 47.4728i | 1.54266i | 0.636437 | + | 0.771329i | \(0.280408\pi\) | ||||
−0.636437 | + | 0.771329i | \(0.719592\pi\) | |||||||
\(948\) | −2.89153 | − | 2.13420i | −0.0939125 | − | 0.0693157i | ||||
\(949\) | −6.77989 | −0.220085 | ||||||||
\(950\) | −25.7408 | − | 11.5364i | −0.835142 | − | 0.374289i | ||||
\(951\) | 7.67901 | − | 10.4039i | 0.249009 | − | 0.337370i | ||||
\(952\) | 1.34045 | 0.0434441 | ||||||||
\(953\) | 4.33551i | 0.140441i | 0.997531 | + | 0.0702204i | \(0.0223703\pi\) | ||||
−0.997531 | + | 0.0702204i | \(0.977630\pi\) | |||||||
\(954\) | 17.4267 | − | 5.37409i | 0.564211 | − | 0.173993i | ||||
\(955\) | −2.28924 | − | 0.489531i | −0.0740779 | − | 0.0158408i | ||||
\(956\) | −2.93174 | −0.0948194 | ||||||||
\(957\) | 23.5551 | − | 31.9136i | 0.761427 | − | 1.03162i | ||||
\(958\) | 31.7707i | 1.02646i | ||||||||
\(959\) | 26.8534 | 0.867143 | ||||||||
\(960\) | 2.56627 | + | 2.90074i | 0.0828260 | + | 0.0936208i | ||||
\(961\) | −6.45009 | + | 30.3215i | −0.208067 | + | 0.978114i | ||||
\(962\) | −16.9231 | −0.545623 | ||||||||
\(963\) | 1.73689 | + | 5.63226i | 0.0559704 | + | 0.181497i | ||||
\(964\) | − | 26.2006i | − | 0.843863i | ||||||
\(965\) | 48.0183 | + | 10.2682i | 1.54576 | + | 0.330546i | ||||
\(966\) | −0.391501 | + | 0.530426i | −0.0125963 | + | 0.0170662i | ||||
\(967\) | 15.2927 | 0.491779 | 0.245889 | − | 0.969298i | \(-0.420920\pi\) | ||||
0.245889 | + | 0.969298i | \(0.420920\pi\) | |||||||
\(968\) | −26.7253 | −0.858984 | ||||||||
\(969\) | −7.36804 | − | 5.43826i | −0.236696 | − | 0.174702i | ||||
\(970\) | 23.3654 | + | 4.99646i | 0.750217 | + | 0.160427i | ||||
\(971\) | 20.9450i | 0.672156i | 0.941834 | + | 0.336078i | \(0.109100\pi\) | ||||
−0.941834 | + | 0.336078i | \(0.890900\pi\) | |||||||
\(972\) | 0.585621 | − | 15.5775i | 0.0187838 | − | 0.499647i | ||||
\(973\) | −5.64110 | −0.180845 | ||||||||
\(974\) | 36.9394 | 1.18362 | ||||||||
\(975\) | −16.2524 | + | 9.16849i | −0.520493 | + | 0.293627i | ||||
\(976\) | 9.71998i | 0.311129i | ||||||||
\(977\) | −33.0491 | −1.05734 | −0.528668 | − | 0.848829i | \(-0.677308\pi\) | ||||
−0.528668 | + | 0.848829i | \(0.677308\pi\) | |||||||
\(978\) | −19.8503 | − | 14.6513i | −0.634743 | − | 0.468497i | ||||
\(979\) | 38.0147 | 1.21496 | ||||||||
\(980\) | 2.31657 | − | 10.8332i | 0.0740000 | − | 0.346053i | ||||
\(981\) | 9.60720 | + | 31.1536i | 0.306734 | + | 0.994657i | ||||
\(982\) | −17.2323 | −0.549903 | ||||||||
\(983\) | 44.8133i | 1.42932i | 0.699470 | + | 0.714662i | \(0.253419\pi\) | ||||
−0.699470 | + | 0.714662i | \(0.746581\pi\) | |||||||
\(984\) | −4.62643 | − | 3.41471i | −0.147485 | − | 0.108857i | ||||
\(985\) | 50.9367 | + | 10.8923i | 1.62298 | + | 0.347058i | ||||
\(986\) | − | 3.49427i | − | 0.111280i | ||||||
\(987\) | 9.45825 | + | 6.98102i | 0.301060 | + | 0.222208i | ||||
\(988\) | 12.1558 | 0.386727 | ||||||||
\(989\) | 0.154853i | 0.00492405i | ||||||||
\(990\) | 41.0413 | − | 3.64007i | 1.30438 | − | 0.115689i | ||||
\(991\) | 3.08059i | 0.0978581i | 0.998802 | + | 0.0489290i | \(0.0155808\pi\) | ||||
−0.998802 | + | 0.0489290i | \(0.984419\pi\) | |||||||
\(992\) | 3.50356 | + | 4.32724i | 0.111238 | + | 0.137390i | ||||
\(993\) | −48.2381 | − | 35.6040i | −1.53079 | − | 1.12986i | ||||
\(994\) | −1.53888 | −0.0488103 | ||||||||
\(995\) | −11.0980 | − | 2.37320i | −0.351830 | − | 0.0752353i | ||||
\(996\) | 11.6364 | + | 8.58872i | 0.368715 | + | 0.272144i | ||||
\(997\) | − | 43.4068i | − | 1.37471i | −0.726323 | − | 0.687353i | \(-0.758772\pi\) | ||
0.726323 | − | 0.687353i | \(-0.241228\pi\) | |||||||
\(998\) | − | 16.0253i | − | 0.507273i | ||||||
\(999\) | −38.5194 | − | 13.4831i | −1.21870 | − | 0.426587i |
(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 | 930.2.e.a.929.10 | yes | 32 | |
3.2 | odd | 2 | 930.2.e.b.929.9 | yes | 32 | ||
5.4 | even | 2 | 930.2.e.b.929.23 | yes | 32 | ||
15.14 | odd | 2 | inner | 930.2.e.a.929.24 | yes | 32 | |
31.30 | odd | 2 | inner | 930.2.e.a.929.23 | yes | 32 | |
93.92 | even | 2 | 930.2.e.b.929.24 | yes | 32 | ||
155.154 | odd | 2 | 930.2.e.b.929.10 | yes | 32 | ||
465.464 | even | 2 | inner | 930.2.e.a.929.9 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.e.a.929.9 | ✓ | 32 | 465.464 | even | 2 | inner | |
930.2.e.a.929.10 | yes | 32 | 1.1 | even | 1 | trivial | |
930.2.e.a.929.23 | yes | 32 | 31.30 | odd | 2 | inner | |
930.2.e.a.929.24 | yes | 32 | 15.14 | odd | 2 | inner | |
930.2.e.b.929.9 | yes | 32 | 3.2 | odd | 2 | ||
930.2.e.b.929.10 | yes | 32 | 155.154 | odd | 2 | ||
930.2.e.b.929.23 | yes | 32 | 5.4 | even | 2 | ||
930.2.e.b.929.24 | yes | 32 | 93.92 | even | 2 |