Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.7 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.7 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.74124 | + | 0.668401i | −1.23125 | + | 0.472631i | −0.885034 | − | 0.465526i | \(-0.845865\pi\) |
−0.346211 | + | 0.938157i | \(0.612532\pi\) | |||||||
\(3\) | 3.03251 | + | 0.318730i | 1.75082 | + | 0.184019i | 0.925014 | − | 0.379933i | \(-0.124053\pi\) |
0.825808 | + | 0.563952i | \(0.190720\pi\) | |||||||
\(4\) | 1.09888 | − | 0.989437i | 0.549440 | − | 0.494718i | ||||
\(5\) | −1.90134 | + | 1.90134i | −0.850307 | + | 0.850307i | −0.990171 | − | 0.139864i | \(-0.955334\pi\) |
0.139864 | + | 0.990171i | \(0.455334\pi\) | |||||||
\(6\) | −5.49338 | + | 1.47195i | −2.24266 | + | 0.600920i | ||||
\(7\) | −0.213728 | + | 4.07817i | −0.0807816 | + | 1.54141i | 0.594651 | + | 0.803984i | \(0.297290\pi\) |
−0.675433 | + | 0.737421i | \(0.736043\pi\) | |||||||
\(8\) | 0.441419 | − | 0.866333i | 0.156065 | − | 0.306295i | ||||
\(9\) | 6.16010 | + | 1.30937i | 2.05337 | + | 0.436456i | ||||
\(10\) | 2.03984 | − | 4.58157i | 0.645055 | − | 1.44882i | ||||
\(11\) | −1.57139 | + | 2.41973i | −0.473792 | + | 0.729575i | −0.992077 | − | 0.125632i | \(-0.959904\pi\) |
0.518285 | + | 0.855208i | \(0.326571\pi\) | |||||||
\(12\) | 3.64773 | − | 2.65023i | 1.05301 | − | 0.765056i | ||||
\(13\) | 1.50529 | − | 3.27629i | 0.417492 | − | 0.908680i | ||||
\(14\) | −2.35370 | − | 7.24395i | −0.629054 | − | 1.93603i | ||||
\(15\) | −6.37187 | + | 5.15983i | −1.64521 | + | 1.33226i | ||||
\(16\) | −0.498690 | + | 4.74472i | −0.124673 | + | 1.18618i | ||||
\(17\) | −3.74226 | − | 0.795442i | −0.907631 | − | 0.192923i | −0.269635 | − | 0.962963i | \(-0.586903\pi\) |
−0.637996 | + | 0.770040i | \(0.720236\pi\) | |||||||
\(18\) | −11.6014 | + | 1.83748i | −2.73448 | + | 0.433099i | ||||
\(19\) | −3.96012 | − | 3.20684i | −0.908513 | − | 0.735700i | 0.0563613 | − | 0.998410i | \(-0.482050\pi\) |
−0.964875 | + | 0.262711i | \(0.915383\pi\) | |||||||
\(20\) | −0.208091 | + | 3.97061i | −0.0465305 | + | 0.887856i | ||||
\(21\) | −1.94797 | + | 12.2990i | −0.425082 | + | 2.68386i | ||||
\(22\) | 1.11882 | − | 5.26366i | 0.238534 | − | 1.12222i | ||||
\(23\) | 1.80829 | − | 2.00831i | 0.377055 | − | 0.418762i | −0.524511 | − | 0.851404i | \(-0.675752\pi\) |
0.901566 | + | 0.432642i | \(0.142419\pi\) | |||||||
\(24\) | 1.61473 | − | 2.48647i | 0.329606 | − | 0.507549i | ||||
\(25\) | − | 2.23022i | − | 0.446045i | ||||||
\(26\) | −0.431199 | + | 6.71096i | −0.0845651 | + | 1.31613i | ||||
\(27\) | 9.56330 | + | 3.10730i | 1.84046 | + | 0.598001i | ||||
\(28\) | 3.80023 | + | 4.69290i | 0.718177 | + | 0.886874i | ||||
\(29\) | −2.82248 | + | 6.33940i | −0.524122 | + | 1.17720i | 0.436593 | + | 0.899659i | \(0.356185\pi\) |
−0.960715 | + | 0.277538i | \(0.910482\pi\) | |||||||
\(30\) | 7.64613 | − | 13.2435i | 1.39599 | − | 2.41792i | ||||
\(31\) | 5.48969 | − | 0.929148i | 0.985977 | − | 0.166880i | ||||
\(32\) | −1.79973 | − | 6.71669i | −0.318150 | − | 1.18735i | ||||
\(33\) | −5.53650 | + | 6.83700i | −0.963780 | + | 1.19017i | ||||
\(34\) | 7.04786 | − | 1.11627i | 1.20870 | − | 0.191439i | ||||
\(35\) | −7.34765 | − | 8.16039i | −1.24198 | − | 1.37936i | ||||
\(36\) | 8.06475 | − | 4.65618i | 1.34412 | − | 0.776031i | ||||
\(37\) | 9.00413 | + | 2.41265i | 1.48027 | + | 0.396637i | 0.906439 | − | 0.422337i | \(-0.138790\pi\) |
0.573831 | + | 0.818974i | \(0.305457\pi\) | |||||||
\(38\) | 9.03899 | + | 2.93694i | 1.46632 | + | 0.476435i | ||||
\(39\) | 5.60906 | − | 9.45562i | 0.898169 | − | 1.51411i | ||||
\(40\) | 0.807909 | + | 2.48649i | 0.127742 | + | 0.393148i | ||||
\(41\) | −0.470897 | + | 0.180760i | −0.0735417 | + | 0.0282300i | −0.394861 | − | 0.918741i | \(-0.629207\pi\) |
0.321319 | + | 0.946971i | \(0.395874\pi\) | |||||||
\(42\) | −4.82877 | − | 22.7176i | −0.745095 | − | 3.50540i | ||||
\(43\) | 0.556935 | + | 5.29888i | 0.0849317 | + | 0.808071i | 0.951217 | + | 0.308522i | \(0.0998344\pi\) |
−0.866285 | + | 0.499549i | \(0.833499\pi\) | |||||||
\(44\) | 0.667398 | + | 4.21378i | 0.100614 | + | 0.635252i | ||||
\(45\) | −14.2020 | + | 9.22290i | −2.11711 | + | 1.37487i | ||||
\(46\) | −1.80632 | + | 4.70562i | −0.266327 | + | 0.693806i | ||||
\(47\) | 0.283563 | + | 1.79034i | 0.0413619 | + | 0.261149i | 0.999700 | − | 0.0244871i | \(-0.00779527\pi\) |
−0.958338 | + | 0.285636i | \(0.907795\pi\) | |||||||
\(48\) | −3.02457 | + | 14.2295i | −0.436559 | + | 2.05385i | ||||
\(49\) | −9.62418 | − | 1.01154i | −1.37488 | − | 0.144506i | ||||
\(50\) | 1.49068 | + | 3.88336i | 0.210814 | + | 0.549190i | ||||
\(51\) | −11.0949 | − | 3.60496i | −1.55360 | − | 0.504795i | ||||
\(52\) | −1.58755 | − | 5.08965i | −0.220154 | − | 0.705807i | ||||
\(53\) | −3.09498 | + | 1.00562i | −0.425129 | + | 0.138133i | −0.513764 | − | 0.857931i | \(-0.671749\pi\) |
0.0886356 | + | 0.996064i | \(0.471749\pi\) | |||||||
\(54\) | −18.7290 | + | 0.981543i | −2.54869 | + | 0.133571i | ||||
\(55\) | −1.61298 | − | 7.58849i | −0.217495 | − | 1.02323i | ||||
\(56\) | 3.43871 | + | 1.98534i | 0.459518 | + | 0.265303i | ||||
\(57\) | −10.9870 | − | 10.9870i | −1.45526 | − | 1.45526i | ||||
\(58\) | 0.677370 | − | 12.9250i | 0.0889431 | − | 1.69713i | ||||
\(59\) | 0.00242517 | 0.000930934i | 0.000315730 | 0.000121197i | 0.358526 | − | 0.933520i | \(-0.383280\pi\) | ||
−0.358210 | + | 0.933641i | \(0.616613\pi\) | |||||||
\(60\) | −1.89659 | + | 11.9746i | −0.244849 | + | 1.54591i | ||||
\(61\) | 11.3718 | + | 6.56553i | 1.45601 | + | 0.840630i | 0.998812 | − | 0.0487321i | \(-0.0155181\pi\) |
0.457203 | + | 0.889363i | \(0.348851\pi\) | |||||||
\(62\) | −8.93784 | + | 5.28719i | −1.13511 | + | 0.671473i | ||||
\(63\) | −6.65642 | + | 24.8421i | −0.838630 | + | 3.12981i | ||||
\(64\) | 2.01473 | + | 2.77304i | 0.251841 | + | 0.346630i | ||||
\(65\) | 3.36729 | + | 9.09144i | 0.417661 | + | 1.12765i | ||||
\(66\) | 5.07053 | − | 15.6055i | 0.624139 | − | 1.92090i | ||||
\(67\) | 3.51904 | + | 0.942923i | 0.429919 | + | 0.115196i | 0.467288 | − | 0.884105i | \(-0.345231\pi\) |
−0.0373694 | + | 0.999302i | \(0.511898\pi\) | |||||||
\(68\) | −4.89933 | + | 2.82863i | −0.594132 | + | 0.343022i | ||||
\(69\) | 6.12377 | − | 5.51387i | 0.737215 | − | 0.663792i | ||||
\(70\) | 18.2485 | + | 9.29805i | 2.18111 | + | 1.11133i | ||||
\(71\) | −0.700457 | + | 0.454882i | −0.0831289 | + | 0.0539846i | −0.585534 | − | 0.810648i | \(-0.699115\pi\) |
0.502405 | + | 0.864632i | \(0.332449\pi\) | |||||||
\(72\) | 3.85353 | − | 4.75871i | 0.454143 | − | 0.560820i | ||||
\(73\) | −4.37177 | − | 8.58007i | −0.511677 | − | 1.00422i | −0.991893 | − | 0.127072i | \(-0.959442\pi\) |
0.480217 | − | 0.877150i | \(-0.340558\pi\) | |||||||
\(74\) | −17.2910 | + | 1.81736i | −2.01004 | + | 0.211263i | ||||
\(75\) | 0.710839 | − | 6.76318i | 0.0820806 | − | 0.780945i | ||||
\(76\) | −7.52466 | + | 0.394351i | −0.863138 | + | 0.0452351i | ||||
\(77\) | −9.53222 | − | 6.92557i | −1.08630 | − | 0.789242i | ||||
\(78\) | −3.44660 | + | 20.2136i | −0.390251 | + | 2.28874i | ||||
\(79\) | 11.0748 | − | 3.59842i | 1.24601 | − | 0.404854i | 0.389523 | − | 0.921017i | \(-0.372640\pi\) |
0.856491 | + | 0.516163i | \(0.172640\pi\) | |||||||
\(80\) | −8.07317 | − | 9.96953i | −0.902608 | − | 1.11463i | ||||
\(81\) | 10.7507 | + | 4.78651i | 1.19452 | + | 0.531834i | ||||
\(82\) | 0.699126 | − | 0.629496i | 0.0772055 | − | 0.0695162i | ||||
\(83\) | 5.20691 | + | 0.824693i | 0.571532 | + | 0.0905218i | 0.435510 | − | 0.900184i | \(-0.356568\pi\) |
0.136022 | + | 0.990706i | \(0.456568\pi\) | |||||||
\(84\) | 10.0285 | + | 15.4425i | 1.09420 | + | 1.68492i | ||||
\(85\) | 8.62773 | − | 5.60291i | 0.935809 | − | 0.607721i | ||||
\(86\) | −4.51153 | − | 8.85438i | −0.486491 | − | 0.954793i | ||||
\(87\) | −10.5798 | + | 18.3247i | −1.13427 | + | 1.96461i | ||||
\(88\) | 1.40265 | + | 2.42946i | 0.149523 | + | 0.258981i | ||||
\(89\) | 9.04446 | − | 13.9272i | 0.958710 | − | 1.47628i | 0.0812166 | − | 0.996696i | \(-0.474119\pi\) |
0.877494 | − | 0.479588i | \(-0.159214\pi\) | |||||||
\(90\) | 18.5646 | − | 25.5520i | 1.95688 | − | 2.69341i | ||||
\(91\) | 13.0396 | + | 6.83907i | 1.36692 | + | 0.716929i | ||||
\(92\) | − | 3.99608i | − | 0.416620i | ||||||
\(93\) | 16.9437 | − | 1.06792i | 1.75698 | − | 0.110739i | ||||
\(94\) | −1.69042 | − | 2.92789i | −0.174353 | − | 0.301989i | ||||
\(95\) | 13.6269 | − | 1.43224i | 1.39809 | − | 0.146945i | ||||
\(96\) | −3.31690 | − | 20.9421i | −0.338529 | − | 2.13739i | ||||
\(97\) | −9.85116 | − | 0.516277i | −1.00023 | − | 0.0524200i | −0.454817 | − | 0.890585i | \(-0.650295\pi\) |
−0.545417 | + | 0.838165i | \(0.683629\pi\) | |||||||
\(98\) | 17.4342 | − | 4.67147i | 1.76112 | − | 0.471889i | ||||
\(99\) | −12.8482 | + | 12.8482i | −1.29130 | + | 1.29130i | ||||
\(100\) | −2.20666 | − | 2.45075i | −0.220666 | − | 0.245075i | ||||
\(101\) | −9.08397 | − | 8.17924i | −0.903889 | − | 0.813865i | 0.0792258 | − | 0.996857i | \(-0.474755\pi\) |
−0.983114 | + | 0.182992i | \(0.941422\pi\) | |||||||
\(102\) | 21.7285 | − | 1.13874i | 2.15144 | − | 0.112752i | ||||
\(103\) | 2.57509 | + | 3.54431i | 0.253731 | + | 0.349231i | 0.916814 | − | 0.399315i | \(-0.130752\pi\) |
−0.663083 | + | 0.748546i | \(0.730752\pi\) | |||||||
\(104\) | −2.17390 | − | 2.75030i | −0.213168 | − | 0.269689i | ||||
\(105\) | −19.6809 | − | 27.0884i | −1.92066 | − | 2.64356i | ||||
\(106\) | 4.71696 | − | 3.81972i | 0.458152 | − | 0.371004i | ||||
\(107\) | 4.01854 | − | 4.46304i | 0.388487 | − | 0.431459i | −0.516900 | − | 0.856046i | \(-0.672914\pi\) |
0.905387 | + | 0.424587i | \(0.139581\pi\) | |||||||
\(108\) | 13.5834 | − | 6.04772i | 1.30706 | − | 0.581942i | ||||
\(109\) | 5.51915 | − | 0.874147i | 0.528639 | − | 0.0837281i | 0.113591 | − | 0.993528i | \(-0.463765\pi\) |
0.415048 | + | 0.909800i | \(0.363765\pi\) | |||||||
\(110\) | 7.88075 | + | 12.1353i | 0.751400 | + | 1.15705i | ||||
\(111\) | 26.5361 | + | 10.1863i | 2.51870 | + | 0.966838i | ||||
\(112\) | −19.2432 | − | 3.04783i | −1.81831 | − | 0.287992i | ||||
\(113\) | 9.28017 | + | 10.3067i | 0.873005 | + | 0.969570i | 0.999750 | − | 0.0223650i | \(-0.00711958\pi\) |
−0.126745 | + | 0.991935i | \(0.540453\pi\) | |||||||
\(114\) | 26.4747 | + | 11.7873i | 2.47959 | + | 1.10398i | ||||
\(115\) | 0.380306 | + | 7.25667i | 0.0354637 | + | 0.676688i | ||||
\(116\) | 3.17086 | + | 9.75891i | 0.294407 | + | 0.906092i | ||||
\(117\) | 13.5626 | − | 18.2113i | 1.25386 | − | 1.68364i | ||||
\(118\) | −0.00484504 | −0.000446022 | ||||||||
\(119\) | 4.04378 | − | 15.0916i | 0.370692 | − | 1.38344i | ||||
\(120\) | 1.65747 | + | 7.79781i | 0.151306 | + | 0.711839i | ||||
\(121\) | 1.08828 | + | 2.44433i | 0.0989350 | + | 0.222212i | ||||
\(122\) | −24.1895 | − | 3.83125i | −2.19002 | − | 0.346865i | ||||
\(123\) | −1.48561 | + | 0.398069i | −0.133953 | + | 0.0358927i | ||||
\(124\) | 5.11318 | − | 6.45272i | 0.459177 | − | 0.579472i | ||||
\(125\) | −5.26630 | − | 5.26630i | −0.471032 | − | 0.471032i | ||||
\(126\) | −5.01403 | − | 47.7053i | −0.446685 | − | 4.24993i | ||||
\(127\) | 0.0550483 | − | 0.523750i | 0.00488475 | − | 0.0464753i | −0.991808 | − | 0.127738i | \(-0.959228\pi\) |
0.996693 | + | 0.0812623i | \(0.0258951\pi\) | |||||||
\(128\) | 6.30196 | + | 4.09254i | 0.557020 | + | 0.361733i | ||||
\(129\) | 16.2464i | 1.43042i | ||||||||
\(130\) | −11.9400 | − | 13.5797i | −1.04721 | − | 1.19102i | ||||
\(131\) | 1.06568 | − | 3.27984i | 0.0931093 | − | 0.286561i | −0.893647 | − | 0.448770i | \(-0.851862\pi\) |
0.986756 | + | 0.162210i | \(0.0518621\pi\) | |||||||
\(132\) | 0.680833 | + | 12.9911i | 0.0592589 | + | 1.13073i | ||||
\(133\) | 13.9244 | − | 15.4647i | 1.20740 | − | 1.34096i | ||||
\(134\) | −6.75775 | + | 0.710268i | −0.583781 | + | 0.0613578i | ||||
\(135\) | −24.0912 | + | 12.2751i | −2.07344 | + | 1.05647i | ||||
\(136\) | −2.34102 | + | 2.89092i | −0.200741 | + | 0.247894i | ||||
\(137\) | −2.80943 | + | 7.31880i | −0.240025 | + | 0.625288i | −0.999687 | − | 0.0250314i | \(-0.992031\pi\) |
0.759661 | + | 0.650319i | \(0.225365\pi\) | |||||||
\(138\) | −6.97750 | + | 13.6941i | −0.593965 | + | 1.16572i | ||||
\(139\) | −6.76856 | − | 15.2024i | −0.574102 | − | 1.28945i | −0.934270 | − | 0.356566i | \(-0.883947\pi\) |
0.360168 | − | 0.932887i | \(-0.382719\pi\) | |||||||
\(140\) | −16.1484 | − | 1.69726i | −1.36479 | − | 0.143445i | ||||
\(141\) | 0.289271 | + | 5.51962i | 0.0243610 | + | 0.464836i | ||||
\(142\) | 0.915623 | − | 1.26025i | 0.0768373 | − | 0.105758i | ||||
\(143\) | 5.56234 | + | 8.79073i | 0.465147 | + | 0.735118i | ||||
\(144\) | −9.28457 | + | 28.5750i | −0.773714 | + | 2.38125i | ||||
\(145\) | −6.68687 | − | 17.4199i | −0.555315 | − | 1.44664i | ||||
\(146\) | 13.3472 | + | 12.0179i | 1.10463 | + | 0.994609i | ||||
\(147\) | −28.8630 | − | 6.13502i | −2.38058 | − | 0.506008i | ||||
\(148\) | 12.2816 | − | 6.25780i | 1.00954 | − | 0.514388i | ||||
\(149\) | 4.65492 | + | 17.3724i | 0.381346 | + | 1.42320i | 0.843847 | + | 0.536584i | \(0.180286\pi\) |
−0.462500 | + | 0.886619i | \(0.653048\pi\) | |||||||
\(150\) | 3.28277 | + | 12.2515i | 0.268037 | + | 1.00033i | ||||
\(151\) | 2.21520 | + | 4.34758i | 0.180271 | + | 0.353801i | 0.963404 | − | 0.268052i | \(-0.0863800\pi\) |
−0.783134 | + | 0.621853i | \(0.786380\pi\) | |||||||
\(152\) | −4.52626 | + | 2.01522i | −0.367128 | + | 0.163456i | ||||
\(153\) | −22.0111 | − | 9.79999i | −1.77950 | − | 0.792282i | ||||
\(154\) | 21.2270 | + | 5.68775i | 1.71052 | + | 0.458332i | ||||
\(155\) | −8.67116 | + | 12.2044i | −0.696484 | + | 0.980283i | ||||
\(156\) | −3.19205 | − | 15.9404i | −0.255568 | − | 1.27625i | ||||
\(157\) | 1.69914 | − | 1.23450i | 0.135606 | − | 0.0985239i | −0.517914 | − | 0.855433i | \(-0.673291\pi\) |
0.653521 | + | 0.756909i | \(0.273291\pi\) | |||||||
\(158\) | −16.8788 | + | 13.6681i | −1.34280 | + | 1.08738i | ||||
\(159\) | −9.70609 | + | 2.06309i | −0.769743 | + | 0.163614i | ||||
\(160\) | 16.1926 | + | 9.34883i | 1.28014 | + | 0.739090i | ||||
\(161\) | 7.80376 | + | 7.80376i | 0.615022 | + | 0.615022i | ||||
\(162\) | −21.9188 | − | 1.14872i | −1.72211 | − | 0.0902518i | ||||
\(163\) | 2.78791 | + | 4.29300i | 0.218366 | + | 0.336254i | 0.930829 | − | 0.365456i | \(-0.119087\pi\) |
−0.712463 | + | 0.701710i | \(0.752420\pi\) | |||||||
\(164\) | −0.338608 | + | 0.664556i | −0.0264409 | + | 0.0518931i | ||||
\(165\) | −2.47271 | − | 23.5263i | −0.192500 | − | 1.83152i | ||||
\(166\) | −9.61772 | + | 2.04431i | −0.746480 | + | 0.158669i | ||||
\(167\) | 13.6146 | − | 5.22616i | 1.05353 | − | 0.404412i | 0.230893 | − | 0.972979i | \(-0.425835\pi\) |
0.822637 | + | 0.568567i | \(0.192502\pi\) | |||||||
\(168\) | 9.79515 | + | 7.11660i | 0.755713 | + | 0.549057i | ||||
\(169\) | −8.46820 | − | 9.86354i | −0.651400 | − | 0.758734i | ||||
\(170\) | −11.2780 | + | 15.5228i | −0.864982 | + | 1.19055i | ||||
\(171\) | −20.1958 | − | 24.9397i | −1.54441 | − | 1.90719i | ||||
\(172\) | 5.85491 | + | 5.27178i | 0.446433 | + | 0.401970i | ||||
\(173\) | −4.88833 | − | 10.9794i | −0.371653 | − | 0.834745i | −0.998455 | − | 0.0555671i | \(-0.982303\pi\) |
0.626802 | − | 0.779178i | \(-0.284363\pi\) | |||||||
\(174\) | 6.17371 | − | 38.9793i | 0.468028 | − | 2.95501i | ||||
\(175\) | 9.09524 | + | 0.476661i | 0.687536 | + | 0.0360322i | ||||
\(176\) | −10.6973 | − | 8.66250i | −0.806339 | − | 0.652961i | ||||
\(177\) | 0.00705763 | + | 0.00359604i | 0.000530484 | + | 0.000270295i | ||||
\(178\) | −6.43962 | + | 30.2960i | −0.482670 | + | 2.27078i | ||||
\(179\) | 22.4911 | − | 4.78063i | 1.68106 | − | 0.357321i | 0.734194 | − | 0.678940i | \(-0.237560\pi\) |
0.946869 | + | 0.321619i | \(0.104227\pi\) | |||||||
\(180\) | −6.48085 | + | 24.1869i | −0.483054 | + | 1.80278i | ||||
\(181\) | 22.4049 | 1.66534 | 0.832672 | − | 0.553766i | \(-0.186810\pi\) | ||||
0.832672 | + | 0.553766i | \(0.186810\pi\) | |||||||
\(182\) | −27.2763 | − | 3.19283i | −2.02186 | − | 0.236668i | ||||
\(183\) | 32.3926 | + | 23.5346i | 2.39453 | + | 1.73973i | ||||
\(184\) | −0.941652 | − | 2.45309i | −0.0694195 | − | 0.180844i | ||||
\(185\) | −21.7072 | + | 12.5327i | −1.59595 | + | 0.921421i | ||||
\(186\) | −28.7893 | + | 13.1847i | −2.11093 | + | 0.966749i | ||||
\(187\) | 7.80530 | − | 7.80530i | 0.570780 | − | 0.570780i | ||||
\(188\) | 2.08303 | + | 1.68681i | 0.151921 | + | 0.123023i | ||||
\(189\) | −14.7161 | + | 38.3367i | −1.07044 | + | 2.78858i | ||||
\(190\) | −22.7704 | + | 11.6021i | −1.65194 | + | 0.841704i | ||||
\(191\) | 5.68240 | − | 9.84220i | 0.411164 | − | 0.712157i | −0.583853 | − | 0.811859i | \(-0.698456\pi\) |
0.995017 | + | 0.0997024i | \(0.0317891\pi\) | |||||||
\(192\) | 5.22584 | + | 9.05143i | 0.377143 | + | 0.653230i | ||||
\(193\) | −16.8416 | − | 10.9371i | −1.21229 | − | 0.787269i | −0.229735 | − | 0.973253i | \(-0.573786\pi\) |
−0.982553 | + | 0.185984i | \(0.940453\pi\) | |||||||
\(194\) | 17.4983 | − | 5.68556i | 1.25631 | − | 0.408199i | ||||
\(195\) | 7.31363 | + | 28.6432i | 0.523740 | + | 2.05118i | ||||
\(196\) | −11.5767 | + | 8.41095i | −0.826906 | + | 0.600782i | ||||
\(197\) | 15.3710 | + | 9.98207i | 1.09514 | + | 0.711193i | 0.960103 | − | 0.279647i | \(-0.0902176\pi\) |
0.135038 | + | 0.990840i | \(0.456884\pi\) | |||||||
\(198\) | 13.7841 | − | 30.9597i | 0.979595 | − | 2.20021i | ||||
\(199\) | −24.9103 | + | 11.0908i | −1.76585 | + | 0.786205i | −0.778495 | + | 0.627651i | \(0.784016\pi\) |
−0.987350 | + | 0.158554i | \(0.949317\pi\) | |||||||
\(200\) | −1.93212 | − | 0.984463i | −0.136621 | − | 0.0696120i | ||||
\(201\) | 10.3710 | + | 3.98105i | 0.731512 | + | 0.280801i | ||||
\(202\) | 21.2844 | + | 8.17032i | 1.49757 | + | 0.574862i | ||||
\(203\) | −25.2499 | − | 12.8655i | −1.77220 | − | 0.902980i | ||||
\(204\) | −15.7589 | + | 7.01630i | −1.10334 | + | 0.491239i | ||||
\(205\) | 0.551649 | − | 1.23902i | 0.0385289 | − | 0.0865372i | ||||
\(206\) | −6.85287 | − | 4.45031i | −0.477462 | − | 0.310068i | ||||
\(207\) | 13.7689 | − | 10.0037i | 0.957002 | − | 0.695303i | ||||
\(208\) | 14.7944 | + | 8.77604i | 1.02581 | + | 0.608509i | ||||
\(209\) | 13.9826 | − | 4.54321i | 0.967195 | − | 0.314261i | ||||
\(210\) | 52.3751 | + | 34.0128i | 3.61422 | + | 2.34710i | ||||
\(211\) | −14.4224 | − | 24.9804i | −0.992881 | − | 1.71972i | −0.599592 | − | 0.800306i | \(-0.704670\pi\) |
−0.393289 | − | 0.919415i | \(-0.628663\pi\) | |||||||
\(212\) | −2.40602 | + | 4.16735i | −0.165246 | + | 0.286215i | ||||
\(213\) | −2.26913 | + | 1.15618i | −0.155478 | + | 0.0792200i | ||||
\(214\) | −4.01416 | + | 10.4572i | −0.274402 | + | 0.714842i | ||||
\(215\) | −11.1339 | − | 9.01607i | −0.759327 | − | 0.614891i | ||||
\(216\) | 6.91338 | − | 6.91338i | 0.470396 | − | 0.470396i | ||||
\(217\) | 2.61593 | + | 22.5865i | 0.177581 | + | 1.53327i | ||||
\(218\) | −9.02590 | + | 5.21111i | −0.611311 | + | 0.352941i | ||||
\(219\) | −10.5227 | − | 27.4126i | −0.711059 | − | 1.85237i | ||||
\(220\) | −9.28081 | − | 6.74290i | −0.625712 | − | 0.454606i | ||||
\(221\) | −8.23928 | + | 11.0634i | −0.554234 | + | 0.744203i | ||||
\(222\) | −53.0144 | −3.55809 | ||||||||
\(223\) | 0.372044 | − | 1.38849i | 0.0249139 | − | 0.0929799i | −0.952349 | − | 0.305009i | \(-0.901341\pi\) |
0.977263 | + | 0.212029i | \(0.0680072\pi\) | |||||||
\(224\) | 27.7765 | − | 5.90407i | 1.85589 | − | 0.394482i | ||||
\(225\) | 2.92018 | − | 13.7384i | 0.194679 | − | 0.915893i | ||||
\(226\) | −23.0480 | − | 11.7436i | −1.53313 | − | 0.781170i | ||||
\(227\) | −1.38986 | − | 1.12548i | −0.0922480 | − | 0.0747010i | 0.582087 | − | 0.813126i | \(-0.302236\pi\) |
−0.674335 | + | 0.738426i | \(0.735570\pi\) | |||||||
\(228\) | −22.9443 | − | 1.20246i | −1.51952 | − | 0.0796349i | ||||
\(229\) | 0.448237 | − | 2.83006i | 0.0296203 | − | 0.187015i | −0.968442 | − | 0.249240i | \(-0.919819\pi\) |
0.998062 | + | 0.0622241i | \(0.0198194\pi\) | |||||||
\(230\) | −5.51257 | − | 12.3814i | −0.363488 | − | 0.816408i | ||||
\(231\) | −26.6992 | − | 24.0401i | −1.75668 | − | 1.58172i | ||||
\(232\) | 4.24614 | + | 5.24354i | 0.278772 | + | 0.344255i | ||||
\(233\) | −10.7241 | + | 14.7605i | −0.702560 | + | 0.966991i | 0.297365 | + | 0.954764i | \(0.403892\pi\) |
−0.999925 | + | 0.0122270i | \(0.996108\pi\) | |||||||
\(234\) | −11.4434 | + | 40.7756i | −0.748075 | + | 2.66558i | ||||
\(235\) | −3.94321 | − | 2.86491i | −0.257227 | − | 0.186886i | ||||
\(236\) | 0.00358607 | − | 0.00137656i | 0.000233433 | − | 8.96066e-5i | ||||
\(237\) | 34.7314 | − | 7.38239i | 2.25605 | − | 0.479538i | ||||
\(238\) | 3.04602 | + | 28.9810i | 0.197444 | + | 1.87856i | ||||
\(239\) | −3.20778 | + | 6.29562i | −0.207494 | + | 0.407230i | −0.971176 | − | 0.238362i | \(-0.923389\pi\) |
0.763682 | + | 0.645592i | \(0.223389\pi\) | |||||||
\(240\) | −21.3044 | − | 32.8059i | −1.37519 | − | 2.11761i | ||||
\(241\) | −17.2376 | − | 0.903385i | −1.11037 | − | 0.0581922i | −0.511684 | − | 0.859174i | \(-0.670978\pi\) |
−0.598689 | + | 0.800982i | \(0.704311\pi\) | |||||||
\(242\) | −3.52876 | − | 3.52876i | −0.226837 | − | 0.226837i | ||||
\(243\) | 4.95112 | + | 2.85853i | 0.317614 | + | 0.183375i | ||||
\(244\) | 18.9925 | − | 4.03697i | 1.21587 | − | 0.258441i | ||||
\(245\) | 20.2222 | − | 16.3756i | 1.29195 | − | 1.04620i | ||||
\(246\) | 2.32075 | − | 1.68612i | 0.147965 | − | 0.107503i | ||||
\(247\) | −16.4677 | + | 8.14729i | −1.04781 | + | 0.518399i | ||||
\(248\) | 1.61830 | − | 5.16604i | 0.102762 | − | 0.328044i | ||||
\(249\) | 15.5272 | + | 4.16049i | 0.983993 | + | 0.263660i | ||||
\(250\) | 12.6899 | + | 5.64991i | 0.802580 | + | 0.357332i | ||||
\(251\) | 6.39482 | − | 2.84716i | 0.403638 | − | 0.179711i | −0.194868 | − | 0.980829i | \(-0.562428\pi\) |
0.598506 | + | 0.801118i | \(0.295761\pi\) | |||||||
\(252\) | 17.2651 | + | 33.8846i | 1.08760 | + | 2.13453i | ||||
\(253\) | 2.01804 | + | 7.53141i | 0.126873 | + | 0.473496i | ||||
\(254\) | 0.254222 | + | 0.948770i | 0.0159513 | + | 0.0595311i | ||||
\(255\) | 27.9495 | − | 14.2410i | 1.75027 | − | 0.891805i | ||||
\(256\) | −20.4142 | − | 4.33918i | −1.27589 | − | 0.271199i | ||||
\(257\) | 16.9373 | + | 15.2504i | 1.05652 | + | 0.951293i | 0.998893 | − | 0.0470450i | \(-0.0149804\pi\) |
0.0576254 | + | 0.998338i | \(0.481647\pi\) | |||||||
\(258\) | −10.8591 | − | 28.2890i | −0.676059 | − | 1.76120i | ||||
\(259\) | −11.7636 | + | 36.2048i | −0.730957 | + | 2.24965i | ||||
\(260\) | 12.6957 | + | 6.65869i | 0.787351 | + | 0.412954i | ||||
\(261\) | −25.6874 | + | 35.3556i | −1.59001 | + | 2.18846i | ||||
\(262\) | 0.336631 | + | 6.42330i | 0.0207971 | + | 0.396833i | ||||
\(263\) | −14.8165 | − | 1.55728i | −0.913624 | − | 0.0960258i | −0.363963 | − | 0.931413i | \(-0.618577\pi\) |
−0.549661 | + | 0.835388i | \(0.685243\pi\) | |||||||
\(264\) | 3.47921 | + | 7.81443i | 0.214131 | + | 0.480945i | ||||
\(265\) | 3.97260 | − | 7.79666i | 0.244035 | − | 0.478945i | ||||
\(266\) | −13.9093 | + | 36.2349i | −0.852831 | + | 2.22170i | ||||
\(267\) | 31.8664 | − | 39.3518i | 1.95019 | − | 2.40829i | ||||
\(268\) | 4.79996 | − | 2.44570i | 0.293204 | − | 0.149395i | ||||
\(269\) | −4.97047 | + | 0.522418i | −0.303055 | + | 0.0318524i | −0.254836 | − | 0.966984i | \(-0.582021\pi\) |
−0.0482195 | + | 0.998837i | \(0.515355\pi\) | |||||||
\(270\) | 33.7440 | − | 37.4765i | 2.05359 | − | 2.28074i | ||||
\(271\) | −0.0741228 | − | 1.41435i | −0.00450264 | − | 0.0859155i | 0.995454 | − | 0.0952453i | \(-0.0303635\pi\) |
−0.999956 | + | 0.00932975i | \(0.997030\pi\) | |||||||
\(272\) | 5.64038 | − | 17.3593i | 0.341998 | − | 1.05256i | ||||
\(273\) | 37.3629 | + | 24.8957i | 2.26130 | + | 1.50675i | ||||
\(274\) | − | 14.6216i | − | 0.883326i | ||||||
\(275\) | 5.39653 | + | 3.50455i | 0.325423 | + | 0.211332i | ||||
\(276\) | 1.27367 | − | 12.1182i | 0.0766660 | − | 0.729428i | ||||
\(277\) | 0.179694 | + | 1.70967i | 0.0107968 | + | 0.102724i | 0.998593 | − | 0.0530268i | \(-0.0168869\pi\) |
−0.987796 | + | 0.155751i | \(0.950220\pi\) | |||||||
\(278\) | 21.9470 | + | 21.9470i | 1.31630 | + | 1.31630i | ||||
\(279\) | 35.0336 | + | 1.46439i | 2.09741 | + | 0.0876705i | ||||
\(280\) | −10.3130 | + | 2.76336i | −0.616320 | + | 0.165142i | ||||
\(281\) | −12.9653 | − | 2.05351i | −0.773447 | − | 0.122502i | −0.242779 | − | 0.970082i | \(-0.578059\pi\) |
−0.530668 | + | 0.847580i | \(0.678059\pi\) | |||||||
\(282\) | −4.19301 | − | 9.41766i | −0.249690 | − | 0.560813i | ||||
\(283\) | 0.480804 | + | 2.26201i | 0.0285809 | + | 0.134462i | 0.990125 | − | 0.140189i | \(-0.0447710\pi\) |
−0.961544 | + | 0.274651i | \(0.911438\pi\) | |||||||
\(284\) | −0.319642 | + | 1.19292i | −0.0189672 | + | 0.0707867i | ||||
\(285\) | 41.7801 | 2.47484 | ||||||||
\(286\) | −15.5611 | − | 11.5889i | −0.920149 | − | 0.685267i | ||||
\(287\) | −0.636528 | − | 1.95903i | −0.0375731 | − | 0.115638i | ||||
\(288\) | −2.29189 | − | 43.7319i | −0.135051 | − | 2.57693i | ||||
\(289\) | −2.15850 | − | 0.961027i | −0.126971 | − | 0.0565310i | ||||
\(290\) | 23.2870 | + | 25.8628i | 1.36746 | + | 1.51871i | ||||
\(291\) | −29.7092 | − | 4.70547i | −1.74158 | − | 0.275840i | ||||
\(292\) | −13.2935 | − | 5.10289i | −0.777943 | − | 0.298624i | ||||
\(293\) | −2.21125 | − | 3.40503i | −0.129183 | − | 0.198924i | 0.768160 | − | 0.640257i | \(-0.221172\pi\) |
−0.897343 | + | 0.441333i | \(0.854506\pi\) | |||||||
\(294\) | 54.3582 | − | 8.60949i | 3.17024 | − | 0.502116i | ||||
\(295\) | −0.00638110 | + | 0.00284105i | −0.000371522 | + | 0.000165412i | ||||
\(296\) | 6.06475 | − | 6.73559i | 0.352506 | − | 0.391498i | ||||
\(297\) | −22.5465 | + | 18.2578i | −1.30828 | + | 1.05942i | ||||
\(298\) | −19.7171 | − | 27.1383i | −1.14218 | − | 1.57208i | ||||
\(299\) | −3.85781 | − | 8.94758i | −0.223103 | − | 0.517452i | ||||
\(300\) | −5.91061 | − | 8.13526i | −0.341249 | − | 0.469689i | ||||
\(301\) | −21.7288 | + | 1.13876i | −1.25243 | + | 0.0656369i | ||||
\(302\) | −6.76313 | − | 6.08955i | −0.389175 | − | 0.350414i | ||||
\(303\) | −24.9403 | − | 27.6990i | −1.43278 | − | 1.59126i | ||||
\(304\) | 17.1904 | − | 17.1904i | 0.985939 | − | 0.985939i | ||||
\(305\) | −34.1051 | + | 9.13844i | −1.95285 | + | 0.523266i | ||||
\(306\) | 44.8771 | + | 2.35191i | 2.56545 | + | 0.134450i | ||||
\(307\) | 1.21127 | + | 7.64764i | 0.0691307 | + | 0.436474i | 0.997841 | + | 0.0656690i | \(0.0209181\pi\) |
−0.928711 | + | 0.370805i | \(0.879082\pi\) | |||||||
\(308\) | −17.3272 | + | 1.82116i | −0.987308 | + | 0.103770i | ||||
\(309\) | 6.67931 | + | 11.5689i | 0.379973 | + | 0.658132i | ||||
\(310\) | 6.94116 | − | 27.0467i | 0.394231 | − | 1.53615i | ||||
\(311\) | − | 17.7667i | − | 1.00746i | −0.863862 | − | 0.503728i | \(-0.831961\pi\) | ||
0.863862 | − | 0.503728i | \(-0.168039\pi\) | |||||||
\(312\) | −5.71577 | − | 9.03320i | −0.323592 | − | 0.511404i | ||||
\(313\) | −0.240673 | + | 0.331259i | −0.0136037 | + | 0.0187238i | −0.815765 | − | 0.578384i | \(-0.803684\pi\) |
0.802161 | + | 0.597108i | \(0.203684\pi\) | |||||||
\(314\) | −2.13348 | + | 3.28528i | −0.120399 | + | 0.185399i | ||||
\(315\) | −34.5772 | − | 59.8895i | −1.94821 | − | 3.37439i | ||||
\(316\) | 8.60948 | − | 14.9121i | 0.484321 | − | 0.838869i | ||||
\(317\) | 6.68913 | + | 13.1282i | 0.375699 | + | 0.737351i | 0.999004 | − | 0.0446281i | \(-0.0142103\pi\) |
−0.623304 | + | 0.781979i | \(0.714210\pi\) | |||||||
\(318\) | 15.5217 | − | 10.0799i | 0.870414 | − | 0.565253i | ||||
\(319\) | −10.9044 | − | 16.7913i | −0.610529 | − | 0.940133i | ||||
\(320\) | −9.10320 | − | 1.44180i | −0.508884 | − | 0.0805993i | ||||
\(321\) | 13.6088 | − | 12.2534i | 0.759568 | − | 0.683918i | ||||
\(322\) | −18.8043 | − | 8.37221i | −1.04792 | − | 0.466565i | ||||
\(323\) | 12.2689 | + | 15.1509i | 0.682662 | + | 0.843017i | ||||
\(324\) | 16.5497 | − | 5.37731i | 0.919425 | − | 0.298739i | ||||
\(325\) | −7.30687 | − | 3.35713i | −0.405312 | − | 0.186220i | ||||
\(326\) | −7.72387 | − | 5.61172i | −0.427786 | − | 0.310805i | ||||
\(327\) | 17.0155 | − | 0.891744i | 0.940959 | − | 0.0493136i | ||||
\(328\) | −0.0512640 | + | 0.487744i | −0.00283058 | + | 0.0269312i | ||||
\(329\) | −7.36194 | + | 0.773771i | −0.405877 | + | 0.0426594i | ||||
\(330\) | 20.0306 | + | 39.3122i | 1.10265 | + | 2.16407i | ||||
\(331\) | −8.71065 | + | 10.7568i | −0.478781 | + | 0.591245i | −0.958114 | − | 0.286388i | \(-0.907545\pi\) |
0.479333 | + | 0.877633i | \(0.340879\pi\) | |||||||
\(332\) | 6.53775 | − | 4.24567i | 0.358806 | − | 0.233011i | ||||
\(333\) | 52.3072 | + | 26.6519i | 2.86642 | + | 1.46051i | ||||
\(334\) | −20.2132 | + | 18.2000i | −1.10602 | + | 0.995861i | ||||
\(335\) | −8.48372 | + | 4.89808i | −0.463515 | + | 0.267611i | ||||
\(336\) | −57.3838 | − | 15.3760i | −3.13055 | − | 0.838827i | ||||
\(337\) | −0.968241 | + | 2.97994i | −0.0527434 | + | 0.162328i | −0.973959 | − | 0.226726i | \(-0.927198\pi\) |
0.921215 | + | 0.389053i | \(0.127198\pi\) | |||||||
\(338\) | 21.3380 | + | 11.5147i | 1.16063 | + | 0.626316i | ||||
\(339\) | 24.8572 | + | 34.2130i | 1.35006 | + | 1.85819i | ||||
\(340\) | 3.93712 | − | 14.6935i | 0.213520 | − | 0.796868i | ||||
\(341\) | −6.37816 | + | 14.7436i | −0.345396 | + | 0.798411i | ||||
\(342\) | 51.8355 | + | 29.9272i | 2.80294 | + | 1.61828i | ||||
\(343\) | 1.71030 | − | 10.7984i | 0.0923477 | − | 0.583060i | ||||
\(344\) | 4.83644 | + | 1.85653i | 0.260763 | + | 0.100098i | ||||
\(345\) | −1.15964 | + | 22.1272i | −0.0624327 | + | 1.19129i | ||||
\(346\) | 15.8504 | + | 15.8504i | 0.852122 | + | 0.852122i | ||||
\(347\) | 9.88846 | + | 5.70910i | 0.530840 | + | 0.306481i | 0.741359 | − | 0.671109i | \(-0.234182\pi\) |
−0.210518 | + | 0.977590i | \(0.567515\pi\) | |||||||
\(348\) | 6.50522 | + | 30.6047i | 0.348717 | + | 1.64058i | ||||
\(349\) | −22.1623 | + | 1.16148i | −1.18632 | + | 0.0621725i | −0.635264 | − | 0.772295i | \(-0.719109\pi\) |
−0.551057 | + | 0.834467i | \(0.685775\pi\) | |||||||
\(350\) | −16.1556 | + | 5.24928i | −0.863555 | + | 0.280586i | ||||
\(351\) | 24.5760 | − | 26.6548i | 1.31177 | − | 1.42273i | ||||
\(352\) | 19.0806 | + | 6.19967i | 1.01700 | + | 0.330444i | ||||
\(353\) | −4.32098 | − | 11.2565i | −0.229983 | − | 0.599126i | 0.769223 | − | 0.638981i | \(-0.220644\pi\) |
−0.999205 | + | 0.0398552i | \(0.987310\pi\) | |||||||
\(354\) | −0.0146926 | − | 0.00154426i | −0.000780905 | − | 8.20765e-5i | ||||
\(355\) | 0.466922 | − | 2.19670i | 0.0247817 | − | 0.116589i | ||||
\(356\) | −3.84134 | − | 24.2533i | −0.203591 | − | 1.28542i | ||||
\(357\) | 17.0729 | − | 44.4765i | 0.903595 | − | 2.35395i | ||||
\(358\) | −35.9671 | + | 23.3573i | −1.90092 | + | 1.23447i | ||||
\(359\) | −4.66376 | − | 29.4459i | −0.246144 | − | 1.55409i | −0.732766 | − | 0.680480i | \(-0.761771\pi\) |
0.486622 | − | 0.873612i | \(-0.338229\pi\) | |||||||
\(360\) | 1.72107 | + | 16.3748i | 0.0907081 | + | 0.863030i | ||||
\(361\) | 1.44839 | + | 6.81413i | 0.0762309 | + | 0.358638i | ||||
\(362\) | −39.0124 | + | 14.9755i | −2.05045 | + | 0.787093i | ||||
\(363\) | 2.52116 | + | 7.75932i | 0.132326 | + | 0.407259i | ||||
\(364\) | 21.0958 | − | 5.38651i | 1.10572 | − | 0.282330i | ||||
\(365\) | 24.6259 | + | 8.00144i | 1.28898 | + | 0.418815i | ||||
\(366\) | −72.1340 | − | 19.3282i | −3.77050 | − | 1.01030i | ||||
\(367\) | −5.63881 | + | 3.25557i | −0.294343 | + | 0.169939i | −0.639899 | − | 0.768459i | \(-0.721024\pi\) |
0.345556 | + | 0.938398i | \(0.387690\pi\) | |||||||
\(368\) | 8.62709 | + | 9.58136i | 0.449718 | + | 0.499463i | ||||
\(369\) | −3.13745 | + | 0.496923i | −0.163329 | + | 0.0258688i | ||||
\(370\) | 29.4207 | − | 36.3316i | 1.52951 | − | 1.88879i | ||||
\(371\) | −3.43961 | − | 12.8368i | −0.178576 | − | 0.666454i | ||||
\(372\) | 17.5625 | − | 17.9382i | 0.910571 | − | 0.930054i | ||||
\(373\) | −7.40393 | + | 12.8240i | −0.383361 | + | 0.664001i | −0.991540 | − | 0.129799i | \(-0.958567\pi\) |
0.608179 | + | 0.793800i | \(0.291900\pi\) | |||||||
\(374\) | −8.37386 | + | 18.8080i | −0.433002 | + | 0.972538i | ||||
\(375\) | −14.2916 | − | 17.6486i | −0.738014 | − | 0.911372i | ||||
\(376\) | 1.67620 | + | 0.544632i | 0.0864437 | + | 0.0280872i | ||||
\(377\) | 16.5211 | + | 18.7899i | 0.850879 | + | 0.967730i | ||||
\(378\) | − | 76.5897i | − | 3.93935i | ||||||
\(379\) | 8.69249 | − | 13.3853i | 0.446503 | − | 0.687555i | −0.541722 | − | 0.840557i | \(-0.682228\pi\) |
0.988226 | + | 0.153002i | \(0.0488942\pi\) | |||||||
\(380\) | 13.5572 | − | 15.0568i | 0.695469 | − | 0.772396i | ||||
\(381\) | 0.333869 | − | 1.57073i | 0.0171046 | − | 0.0804710i | ||||
\(382\) | −3.31590 | + | 20.9358i | −0.169656 | + | 1.07117i | ||||
\(383\) | −1.62820 | + | 31.0679i | −0.0831971 | + | 1.58750i | 0.564393 | + | 0.825506i | \(0.309110\pi\) |
−0.647590 | + | 0.761989i | \(0.724223\pi\) | |||||||
\(384\) | 17.8064 | + | 14.4193i | 0.908677 | + | 0.735832i | ||||
\(385\) | 31.2919 | − | 4.95616i | 1.59478 | − | 0.252589i | ||||
\(386\) | 36.6358 | + | 7.78717i | 1.86471 | + | 0.396357i | ||||
\(387\) | −3.50742 | + | 33.3708i | −0.178292 | + | 1.69633i | ||||
\(388\) | −11.3361 | + | 9.17977i | −0.575502 | + | 0.466032i | ||||
\(389\) | −0.0916678 | − | 0.282125i | −0.00464774 | − | 0.0143043i | 0.948706 | − | 0.316160i | \(-0.102394\pi\) |
−0.953353 | + | 0.301856i | \(0.902394\pi\) | |||||||
\(390\) | −31.8799 | − | 44.9863i | −1.61430 | − | 2.27797i | ||||
\(391\) | −8.36458 | + | 6.07723i | −0.423015 | + | 0.307339i | ||||
\(392\) | −5.12462 | + | 7.89123i | −0.258833 | + | 0.398567i | ||||
\(393\) | 4.27708 | − | 9.60648i | 0.215750 | − | 0.484583i | ||||
\(394\) | −33.4367 | − | 7.10720i | −1.68452 | − | 0.358056i | ||||
\(395\) | −14.2152 | + | 27.8989i | −0.715244 | + | 1.40374i | ||||
\(396\) | −1.40616 | + | 26.8312i | −0.0706623 | + | 1.34832i | ||||
\(397\) | 0.295898 | − | 0.0792857i | 0.0148507 | − | 0.00397924i | −0.251386 | − | 0.967887i | \(-0.580886\pi\) |
0.266237 | + | 0.963908i | \(0.414220\pi\) | |||||||
\(398\) | 35.9618 | − | 35.9618i | 1.80260 | − | 1.80260i | ||||
\(399\) | 47.1551 | − | 42.4586i | 2.36071 | − | 2.12559i | ||||
\(400\) | 10.5818 | + | 1.11219i | 0.529089 | + | 0.0556095i | ||||
\(401\) | 30.6199 | − | 11.7539i | 1.52908 | − | 0.586960i | 0.558878 | − | 0.829250i | \(-0.311232\pi\) |
0.970204 | + | 0.242290i | \(0.0778985\pi\) | |||||||
\(402\) | −20.7193 | −1.03339 | ||||||||
\(403\) | 5.21941 | − | 19.3845i | 0.259997 | − | 0.965609i | ||||
\(404\) | −18.0750 | −0.899267 | ||||||||
\(405\) | −29.5415 | + | 11.3399i | −1.46793 | + | 0.563486i | ||||
\(406\) | 52.5656 | + | 5.52487i | 2.60879 | + | 0.274195i | ||||
\(407\) | −19.9869 | + | 17.9963i | −0.990716 | + | 0.892045i | ||||
\(408\) | −8.02059 | + | 8.02059i | −0.397079 | + | 0.397079i | ||||
\(409\) | −15.1109 | + | 4.04895i | −0.747185 | + | 0.200208i | −0.612269 | − | 0.790649i | \(-0.709743\pi\) |
−0.134916 | + | 0.990857i | \(0.543076\pi\) | |||||||
\(410\) | −0.132391 | + | 2.52617i | −0.00653832 | + | 0.124758i | ||||
\(411\) | −10.8523 | + | 21.2989i | −0.535306 | + | 1.05060i | ||||
\(412\) | 6.33658 | + | 1.34688i | 0.312181 | + | 0.0663561i | ||||
\(413\) | −0.00431484 | + | 0.00969128i | −0.000212319 | + | 0.000476877i | ||||
\(414\) | −17.2885 | + | 26.6219i | −0.849683 | + | 1.30840i | ||||
\(415\) | −11.4682 | + | 8.33210i | −0.562949 | + | 0.409007i | ||||
\(416\) | −24.7150 | − | 4.21411i | −1.21175 | − | 0.206614i | ||||
\(417\) | −15.6803 | − | 48.2589i | −0.767866 | − | 2.36325i | ||||
\(418\) | −21.3104 | + | 17.2568i | −1.04232 | + | 0.844058i | ||||
\(419\) | 0.902979 | − | 8.59127i | 0.0441134 | − | 0.419711i | −0.950072 | − | 0.312030i | \(-0.898991\pi\) |
0.994186 | − | 0.107681i | \(-0.0343424\pi\) | |||||||
\(420\) | −48.4292 | − | 10.2939i | −2.36310 | − | 0.502293i | ||||
\(421\) | −4.21409 | + | 0.667447i | −0.205382 | + | 0.0325294i | −0.258278 | − | 0.966071i | \(-0.583155\pi\) |
0.0528955 | + | 0.998600i | \(0.483155\pi\) | |||||||
\(422\) | 41.8099 | + | 33.8570i | 2.03527 | + | 1.64813i | ||||
\(423\) | −0.597448 | + | 11.4000i | −0.0290489 | + | 0.554286i | ||||
\(424\) | −0.494981 | + | 3.12519i | −0.0240384 | + | 0.151772i | ||||
\(425\) | −1.77401 | + | 8.34607i | −0.0860522 | + | 0.404844i | ||||
\(426\) | 3.17831 | − | 3.52988i | 0.153990 | − | 0.171023i | ||||
\(427\) | −29.2059 | + | 44.9731i | −1.41337 | + | 2.17640i | ||||
\(428\) | − | 8.88044i | − | 0.429252i | ||||||
\(429\) | 14.0660 | + | 28.4309i | 0.679113 | + | 1.37266i | ||||
\(430\) | 25.4132 | + | 8.25726i | 1.22553 | + | 0.398200i | ||||
\(431\) | −22.9259 | − | 28.3111i | −1.10430 | − | 1.36370i | −0.925027 | − | 0.379900i | \(-0.875958\pi\) |
−0.179275 | − | 0.983799i | \(-0.557375\pi\) | |||||||
\(432\) | −19.5124 | + | 43.8256i | −0.938791 | + | 2.10856i | ||||
\(433\) | −2.27747 | + | 3.94470i | −0.109448 | + | 0.189570i | −0.915547 | − | 0.402211i | \(-0.868242\pi\) |
0.806099 | + | 0.591781i | \(0.201575\pi\) | |||||||
\(434\) | −19.6518 | − | 37.5801i | −0.943317 | − | 1.80390i | ||||
\(435\) | −14.7258 | − | 54.9574i | −0.706047 | − | 2.63500i | ||||
\(436\) | 5.19997 | − | 6.42143i | 0.249034 | − | 0.307531i | ||||
\(437\) | −13.6014 | + | 2.15425i | −0.650642 | + | 0.103052i | ||||
\(438\) | 36.6452 | + | 40.6986i | 1.75098 | + | 1.94466i | ||||
\(439\) | −9.79668 | + | 5.65612i | −0.467570 | + | 0.269952i | −0.715222 | − | 0.698897i | \(-0.753674\pi\) |
0.247652 | + | 0.968849i | \(0.420341\pi\) | |||||||
\(440\) | −7.28616 | − | 1.95232i | −0.347354 | − | 0.0930733i | ||||
\(441\) | −57.9614 | − | 18.8328i | −2.76007 | − | 0.896800i | ||||
\(442\) | 6.95184 | − | 24.7712i | 0.330665 | − | 1.17824i | ||||
\(443\) | 1.20213 | + | 3.69977i | 0.0571148 | + | 0.175781i | 0.975544 | − | 0.219804i | \(-0.0705418\pi\) |
−0.918429 | + | 0.395585i | \(0.870542\pi\) | |||||||
\(444\) | 39.2387 | − | 15.0623i | 1.86219 | − | 0.714827i | ||||
\(445\) | 9.28386 | + | 43.6771i | 0.440097 | + | 2.07049i | ||||
\(446\) | 0.280246 | + | 2.66637i | 0.0132700 | + | 0.126256i | ||||
\(447\) | 8.57900 | + | 54.1657i | 0.405773 | + | 2.56195i | ||||
\(448\) | −11.7395 | + | 7.62375i | −0.554641 | + | 0.360188i | ||||
\(449\) | 0.0649029 | − | 0.169078i | 0.00306296 | − | 0.00797928i | −0.932040 | − | 0.362354i | \(-0.881973\pi\) |
0.935103 | + | 0.354375i | \(0.115306\pi\) | |||||||
\(450\) | 4.09800 | + | 25.8737i | 0.193181 | + | 1.21970i | ||||
\(451\) | 0.302571 | − | 1.42349i | 0.0142475 | − | 0.0670294i | ||||
\(452\) | 20.3956 | + | 2.14366i | 0.959328 | + | 0.100829i | ||||
\(453\) | 5.33192 | + | 13.8901i | 0.250516 | + | 0.652615i | ||||
\(454\) | 3.17235 | + | 1.03076i | 0.148886 | + | 0.0483760i | ||||
\(455\) | −37.7962 | + | 11.7893i | −1.77191 | + | 0.552691i | ||||
\(456\) | −14.3683 | + | 4.66853i | −0.672855 | + | 0.218624i | ||||
\(457\) | 34.8749 | − | 1.82771i | 1.63138 | − | 0.0854969i | 0.785496 | − | 0.618867i | \(-0.212408\pi\) |
0.845882 | + | 0.533370i | \(0.179075\pi\) | |||||||
\(458\) | 1.11112 | + | 5.22742i | 0.0519193 | + | 0.244261i | ||||
\(459\) | −33.3166 | − | 19.2354i | −1.55509 | − | 0.897830i | ||||
\(460\) | 7.59793 | + | 7.59793i | 0.354255 | + | 0.354255i | ||||
\(461\) | 1.58866 | − | 30.3134i | 0.0739912 | − | 1.41184i | −0.669361 | − | 0.742937i | \(-0.733432\pi\) |
0.743353 | − | 0.668900i | \(-0.233235\pi\) | |||||||
\(462\) | 62.5582 | + | 24.0138i | 2.91047 | + | 1.11723i | ||||
\(463\) | −1.39810 | + | 8.82727i | −0.0649753 | + | 0.410238i | 0.933667 | + | 0.358143i | \(0.116590\pi\) |
−0.998642 | + | 0.0520952i | \(0.983410\pi\) | |||||||
\(464\) | −28.6711 | − | 16.5533i | −1.33102 | − | 0.768467i | ||||
\(465\) | −30.1853 | + | 34.2463i | −1.39981 | + | 1.58813i | ||||
\(466\) | 8.80738 | − | 32.8696i | 0.407994 | − | 1.52265i | ||||
\(467\) | −15.5744 | − | 21.4363i | −0.720697 | − | 0.991954i | −0.999500 | − | 0.0316057i | \(-0.989938\pi\) |
0.278804 | − | 0.960348i | \(-0.410062\pi\) | |||||||
\(468\) | −3.11525 | − | 33.4314i | −0.144002 | − | 1.54537i | ||||
\(469\) | −4.59752 | + | 14.1497i | −0.212294 | + | 0.653373i | ||||
\(470\) | 8.78100 | + | 2.35286i | 0.405038 | + | 0.108529i | ||||
\(471\) | 5.54615 | − | 3.20207i | 0.255553 | − | 0.147544i | ||||
\(472\) | 0.00187701 | − | 0.00169007i | 8.63965e−5 | − | 7.77918e-5i | ||||
\(473\) | −13.6970 | − | 6.97897i | −0.629789 | − | 0.320894i | ||||
\(474\) | −55.5415 | + | 36.0690i | −2.55110 | + | 1.65671i | ||||
\(475\) | −7.15197 | + | 8.83195i | −0.328155 | + | 0.405238i | ||||
\(476\) | −10.4885 | − | 20.5849i | −0.480741 | − | 0.943507i | ||||
\(477\) | −20.3821 | + | 2.14225i | −0.933233 | + | 0.0980867i | ||||
\(478\) | 1.37753 | − | 13.1063i | 0.0630066 | − | 0.599468i | ||||
\(479\) | 19.2737 | − | 1.01009i | 0.880637 | − | 0.0461522i | 0.393344 | − | 0.919391i | \(-0.371318\pi\) |
0.487292 | + | 0.873239i | \(0.337985\pi\) | |||||||
\(480\) | 46.1246 | + | 33.5115i | 2.10529 | + | 1.52958i | ||||
\(481\) | 21.4584 | − | 25.8684i | 0.978417 | − | 1.17950i | ||||
\(482\) | 30.6187 | − | 9.94863i | 1.39464 | − | 0.453147i | ||||
\(483\) | 21.1777 | + | 26.1523i | 0.963619 | + | 1.18997i | ||||
\(484\) | 3.61440 | + | 1.60924i | 0.164291 | + | 0.0731471i | ||||
\(485\) | 19.7121 | − | 17.7488i | 0.895079 | − | 0.805932i | ||||
\(486\) | −10.5317 | − | 1.66807i | −0.477730 | − | 0.0756650i | ||||
\(487\) | −9.33568 | − | 14.3757i | −0.423040 | − | 0.651424i | 0.561319 | − | 0.827600i | \(-0.310294\pi\) |
−0.984359 | + | 0.176175i | \(0.943627\pi\) | |||||||
\(488\) | 10.7077 | − | 6.95365i | 0.484714 | − | 0.314777i | ||||
\(489\) | 7.08606 | + | 13.9072i | 0.320443 | + | 0.628904i | ||||
\(490\) | −24.2663 | + | 42.0304i | −1.09624 | + | 1.89874i | ||||
\(491\) | −12.2674 | − | 21.2478i | −0.553621 | − | 0.958900i | −0.998009 | − | 0.0630655i | \(-0.979912\pi\) |
0.444388 | − | 0.895834i | \(-0.353421\pi\) | |||||||
\(492\) | −1.23865 | + | 1.90735i | −0.0558426 | + | 0.0859900i | ||||
\(493\) | 15.6051 | − | 21.4786i | 0.702818 | − | 0.967345i | ||||
\(494\) | 23.2286 | − | 25.1934i | 1.04510 | − | 1.13351i | ||||
\(495\) | − | 48.8578i | − | 2.19600i | ||||||
\(496\) | 1.67089 | + | 26.5104i | 0.0750253 | + | 1.19035i | ||||
\(497\) | −1.70538 | − | 2.95381i | −0.0764968 | − | 0.132496i | ||||
\(498\) | −29.8174 | + | 3.13394i | −1.33615 | + | 0.140435i | ||||
\(499\) | 1.07824 | + | 6.80776i | 0.0482688 | + | 0.304757i | 0.999998 | − | 0.00218301i | \(-0.000694875\pi\) |
−0.951729 | + | 0.306940i | \(0.900695\pi\) | |||||||
\(500\) | −10.9977 | − | 0.576365i | −0.491832 | − | 0.0257758i | ||||
\(501\) | 42.9522 | − | 11.5090i | 1.91896 | − | 0.514184i | ||||
\(502\) | −9.23190 | + | 9.23190i | −0.412040 | + | 0.412040i | ||||
\(503\) | −8.74337 | − | 9.71050i | −0.389848 | − | 0.432970i | 0.515990 | − | 0.856595i | \(-0.327424\pi\) |
−0.905838 | + | 0.423625i | \(0.860757\pi\) | |||||||
\(504\) | 18.5833 | + | 16.7324i | 0.827764 | + | 0.745322i | ||||
\(505\) | 32.8233 | − | 1.72020i | 1.46062 | − | 0.0765478i | ||||
\(506\) | −8.54789 | − | 11.7652i | −0.380000 | − | 0.523025i | ||||
\(507\) | −22.5361 | − | 32.6104i | −1.00086 | − | 1.44828i | ||||
\(508\) | −0.457726 | − | 0.630005i | −0.0203083 | − | 0.0279520i | ||||
\(509\) | −7.05221 | + | 5.71077i | −0.312584 | + | 0.253125i | −0.772754 | − | 0.634705i | \(-0.781122\pi\) |
0.460171 | + | 0.887830i | \(0.347788\pi\) | |||||||
\(510\) | −39.1482 | + | 43.4785i | −1.73351 | + | 1.92526i | ||||
\(511\) | 35.9254 | − | 15.9950i | 1.58925 | − | 0.707578i | ||||
\(512\) | 23.6030 | − | 3.73835i | 1.04312 | − | 0.165213i | ||||
\(513\) | −27.9072 | − | 42.9733i | −1.23213 | − | 1.89732i | ||||
\(514\) | −39.6853 | − | 15.2338i | −1.75044 | − | 0.671932i | ||||
\(515\) | −11.6351 | − | 1.84282i | −0.512703 | − | 0.0812041i | ||||
\(516\) | 16.0748 | + | 17.8529i | 0.707654 | + | 0.785929i | ||||
\(517\) | −4.77773 | − | 2.12718i | −0.210125 | − | 0.0935535i | ||||
\(518\) | −3.71593 | − | 70.9041i | −0.163269 | − | 3.11535i | ||||
\(519\) | −11.3245 | − | 34.8531i | −0.497089 | − | 1.52988i | ||||
\(520\) | 9.36260 | + | 1.09594i | 0.410577 | + | 0.0480600i | ||||
\(521\) | −2.76966 | −0.121341 | −0.0606705 | − | 0.998158i | \(-0.519324\pi\) | ||||
−0.0606705 | + | 0.998158i | \(0.519324\pi\) | |||||||
\(522\) | 21.0962 | − | 78.7323i | 0.923358 | − | 3.44602i | ||||
\(523\) | −4.25298 | − | 20.0087i | −0.185970 | − | 0.874919i | −0.967857 | − | 0.251500i | \(-0.919076\pi\) |
0.781888 | − | 0.623419i | \(-0.214257\pi\) | |||||||
\(524\) | −2.07413 | − | 4.65858i | −0.0906089 | − | 0.203511i | ||||
\(525\) | 27.4295 | + | 4.34441i | 1.19712 | + | 0.189605i | ||||
\(526\) | 26.8400 | − | 7.19176i | 1.17028 | − | 0.313576i | ||||
\(527\) | −21.2829 | − | 0.889615i | −0.927098 | − | 0.0387522i | ||||
\(528\) | −29.6787 | − | 29.6787i | −1.29160 | − | 1.29160i | ||||
\(529\) | 1.64076 | + | 15.6108i | 0.0713374 | + | 0.678730i | ||||
\(530\) | −1.70597 | + | 16.2312i | −0.0741024 | + | 0.705037i | ||||
\(531\) | 0.0137203 | + | 0.00891008i | 0.000595411 | + | 0.000386664i | ||||
\(532\) | − | 30.7712i | − | 1.33410i | ||||||
\(533\) | −0.116612 | + | 1.81489i | −0.00505103 | + | 0.0786117i | ||||
\(534\) | −29.1845 | + | 89.8206i | −1.26294 | + | 3.88692i | ||||
\(535\) | 0.845149 | + | 16.1264i | 0.0365390 | + | 0.697206i | ||||
\(536\) | 2.37025 | − | 2.63243i | 0.102379 | − | 0.113704i | ||||
\(537\) | 69.7282 | − | 7.32873i | 3.00899 | − | 0.316258i | ||||
\(538\) | 8.30562 | − | 4.23193i | 0.358081 | − | 0.182451i | ||||
\(539\) | 17.5710 | − | 21.6984i | 0.756836 | − | 0.934615i | ||||
\(540\) | −14.3279 | + | 37.3255i | −0.616576 | + | 1.60624i | ||||
\(541\) | 15.3042 | − | 30.0362i | 0.657980 | − | 1.29136i | −0.285006 | − | 0.958526i | \(-0.591996\pi\) |
0.942986 | − | 0.332832i | \(-0.108004\pi\) | |||||||
\(542\) | 1.07442 | + | 2.41318i | 0.0461502 | + | 0.103655i | ||||
\(543\) | 67.9432 | + | 7.14111i | 2.91572 | + | 0.306455i | ||||
\(544\) | 1.39233 | + | 26.5672i | 0.0596955 | + | 1.13906i | ||||
\(545\) | −8.83175 | + | 12.1559i | −0.378311 | + | 0.520700i | ||||
\(546\) | −81.6981 | − | 18.3761i | −3.49636 | − | 0.786423i | ||||
\(547\) | 2.04324 | − | 6.28845i | 0.0873626 | − | 0.268874i | −0.897826 | − | 0.440351i | \(-0.854854\pi\) |
0.985188 | + | 0.171477i | \(0.0548539\pi\) | |||||||
\(548\) | 4.15427 | + | 10.8222i | 0.177462 | + | 0.462303i | ||||
\(549\) | 61.4549 | + | 55.3342i | 2.62283 | + | 2.36161i | ||||
\(550\) | −11.7391 | − | 2.49523i | −0.500558 | − | 0.106397i | ||||
\(551\) | 31.5068 | − | 16.0535i | 1.34224 | − | 0.683903i | ||||
\(552\) | −2.07370 | − | 7.73915i | −0.0882625 | − | 0.329400i | ||||
\(553\) | 12.3080 | + | 45.9341i | 0.523389 | + | 1.95332i | ||||
\(554\) | −1.45564 | − | 2.85685i | −0.0618441 | − | 0.121376i | ||||
\(555\) | −69.8220 | + | 31.0867i | −2.96378 | + | 1.31956i | ||||
\(556\) | −22.4797 | − | 10.0086i | −0.953351 | − | 0.424459i | ||||
\(557\) | 2.75560 | + | 0.738360i | 0.116758 | + | 0.0312853i | 0.316725 | − | 0.948517i | \(-0.397417\pi\) |
−0.199967 | + | 0.979803i | \(0.564083\pi\) | |||||||
\(558\) | −61.9808 | + | 20.8666i | −2.62386 | + | 0.883355i | ||||
\(559\) | 18.1990 | + | 6.15167i | 0.769737 | + | 0.260188i | ||||
\(560\) | 42.3830 | − | 30.7930i | 1.79101 | − | 1.30124i | ||||
\(561\) | 26.1574 | − | 21.1819i | 1.10437 | − | 0.894300i | ||||
\(562\) | 23.9484 | − | 5.09038i | 1.01020 | − | 0.214725i | ||||
\(563\) | 2.03175 | + | 1.17303i | 0.0856283 | + | 0.0494375i | 0.542203 | − | 0.840248i | \(-0.317590\pi\) |
−0.456574 | + | 0.889685i | \(0.650924\pi\) | |||||||
\(564\) | 5.77919 | + | 5.77919i | 0.243348 | + | 0.243348i | ||||
\(565\) | −37.2413 | − | 1.95174i | −1.56676 | − | 0.0821102i | ||||
\(566\) | −2.34913 | − | 3.61734i | −0.0987411 | − | 0.152048i | ||||
\(567\) | −21.8179 | + | 42.8201i | −0.916267 | + | 1.79828i | ||||
\(568\) | 0.0848845 | + | 0.807622i | 0.00356168 | + | 0.0338871i | ||||
\(569\) | −1.17054 | + | 0.248807i | −0.0490717 | + | 0.0104305i | −0.232382 | − | 0.972625i | \(-0.574652\pi\) |
0.183310 | + | 0.983055i | \(0.441319\pi\) | |||||||
\(570\) | −72.7493 | + | 27.9259i | −3.04713 | + | 1.16969i | ||||
\(571\) | −8.71199 | − | 6.32963i | −0.364586 | − | 0.264887i | 0.390377 | − | 0.920655i | \(-0.372345\pi\) |
−0.754962 | + | 0.655768i | \(0.772345\pi\) | |||||||
\(572\) | 14.8102 | + | 4.15637i | 0.619246 | + | 0.173787i | ||||
\(573\) | 20.3689 | − | 28.0354i | 0.850925 | − | 1.17120i | ||||
\(574\) | 2.41777 | + | 2.98570i | 0.100916 | + | 0.124621i | ||||
\(575\) | −4.47898 | − | 4.03289i | −0.186786 | − | 0.168183i | ||||
\(576\) | 8.78000 | + | 19.7202i | 0.365833 | + | 0.821675i | ||||
\(577\) | 5.53821 | − | 34.9669i | 0.230559 | − | 1.45569i | −0.552380 | − | 0.833592i | \(-0.686280\pi\) |
0.782939 | − | 0.622098i | \(-0.213720\pi\) | |||||||
\(578\) | 4.40083 | + | 0.230638i | 0.183050 | + | 0.00959327i | ||||
\(579\) | −47.5865 | − | 38.5348i | −1.97763 | − | 1.60145i | ||||
\(580\) | −24.5840 | − | 12.5262i | −1.02079 | − | 0.520120i | ||||
\(581\) | −4.47610 | + | 21.0584i | −0.185700 | + | 0.873650i | ||||
\(582\) | 54.8761 | − | 11.6643i | 2.27469 | − | 0.483500i | ||||
\(583\) | 2.43010 | − | 9.06924i | 0.100644 | − | 0.375610i | ||||
\(584\) | −9.36298 | −0.387443 | ||||||||
\(585\) | 8.83878 | + | 60.4132i | 0.365438 | + | 2.49778i | ||||
\(586\) | 6.12626 | + | 4.45099i | 0.253074 | + | 0.183869i | ||||
\(587\) | −12.5425 | − | 32.6743i | −0.517684 | − | 1.34861i | −0.904507 | − | 0.426459i | \(-0.859761\pi\) |
0.386822 | − | 0.922154i | \(-0.373573\pi\) | |||||||
\(588\) | −37.7872 | + | 21.8165i | −1.55832 | + | 0.899696i | ||||
\(589\) | −24.7194 | − | 13.9250i | −1.01855 | − | 0.573770i | ||||
\(590\) | 0.00921210 | − | 0.00921210i | 0.000379256 | − | 0.000379256i | ||||
\(591\) | 43.4313 | + | 35.1699i | 1.78652 | + | 1.44670i | ||||
\(592\) | −15.9376 | + | 41.5189i | −0.655032 | + | 1.70642i | ||||
\(593\) | 11.5406 | − | 5.88021i | 0.473914 | − | 0.241471i | −0.200685 | − | 0.979656i | \(-0.564317\pi\) |
0.674599 | + | 0.738185i | \(0.264317\pi\) | |||||||
\(594\) | 27.0554 | − | 46.8614i | 1.11010 | − | 1.92275i | ||||
\(595\) | 21.0057 | + | 36.3829i | 0.861149 | + | 1.49155i | ||||
\(596\) | 22.3041 | + | 14.4845i | 0.913612 | + | 0.593306i | ||||
\(597\) | −79.0758 | + | 25.6933i | −3.23636 | + | 1.05156i | ||||
\(598\) | 12.6980 | + | 13.0014i | 0.519258 | + | 0.531665i | ||||
\(599\) | −1.07916 | + | 0.784054i | −0.0440932 | + | 0.0320356i | −0.609614 | − | 0.792699i | \(-0.708675\pi\) |
0.565520 | + | 0.824734i | \(0.308675\pi\) | |||||||
\(600\) | −5.54539 | − | 3.60122i | −0.226390 | − | 0.147019i | ||||
\(601\) | 3.20585 | − | 7.20046i | 0.130769 | − | 0.293713i | −0.836280 | − | 0.548303i | \(-0.815274\pi\) |
0.967049 | + | 0.254590i | \(0.0819406\pi\) | |||||||
\(602\) | 37.0740 | − | 16.5064i | 1.51102 | − | 0.672750i | ||||
\(603\) | 20.4430 | + | 10.4162i | 0.832502 | + | 0.424181i | ||||
\(604\) | 6.73590 | + | 2.58567i | 0.274080 | + | 0.105209i | ||||
\(605\) | −6.71671 | − | 2.57831i | −0.273073 | − | 0.104823i | ||||
\(606\) | 61.9411 | + | 31.5606i | 2.51619 | + | 1.28206i | ||||
\(607\) | −15.8726 | + | 7.06696i | −0.644251 | + | 0.286839i | −0.702737 | − | 0.711449i | \(-0.748039\pi\) |
0.0584867 | + | 0.998288i | \(0.481372\pi\) | |||||||
\(608\) | −14.4122 | + | 32.3703i | −0.584492 | + | 1.31279i | ||||
\(609\) | −72.4701 | − | 47.0627i | −2.93664 | − | 1.90707i | ||||
\(610\) | 53.2772 | − | 38.7081i | 2.15713 | − | 1.56725i | ||||
\(611\) | 6.29254 | + | 1.76595i | 0.254569 | + | 0.0714428i | ||||
\(612\) | −33.8841 | + | 11.0096i | −1.36968 | + | 0.445037i | ||||
\(613\) | 12.3931 | + | 8.04815i | 0.500551 | + | 0.325062i | 0.770098 | − | 0.637925i | \(-0.220207\pi\) |
−0.269547 | + | 0.962987i | \(0.586874\pi\) | |||||||
\(614\) | −7.22080 | − | 12.5068i | −0.291408 | − | 0.504733i | ||||
\(615\) | 2.06780 | − | 3.58153i | 0.0833816 | − | 0.144421i | ||||
\(616\) | −10.2076 | + | 5.20101i | −0.411274 | + | 0.209555i | ||||
\(617\) | −4.00537 | + | 10.4343i | −0.161250 | + | 0.420071i | −0.990272 | − | 0.139145i | \(-0.955564\pi\) |
0.829022 | + | 0.559216i | \(0.188898\pi\) | |||||||
\(618\) | −19.3630 | − | 15.6798i | −0.778893 | − | 0.630735i | ||||
\(619\) | 9.31381 | − | 9.31381i | 0.374354 | − | 0.374354i | −0.494706 | − | 0.869060i | \(-0.664724\pi\) |
0.869060 | + | 0.494706i | \(0.164724\pi\) | |||||||
\(620\) | 2.54693 | + | 21.9908i | 0.102287 | + | 0.883170i | ||||
\(621\) | 23.5337 | − | 13.5872i | 0.944373 | − | 0.545234i | ||||
\(622\) | 11.8753 | + | 30.9361i | 0.476154 | + | 1.24042i | ||||
\(623\) | 54.8647 | + | 39.8615i | 2.19811 | + | 1.59702i | ||||
\(624\) | 42.0671 | + | 31.3289i | 1.68403 | + | 1.25416i | ||||
\(625\) | 31.1772 | 1.24709 | ||||||||
\(626\) | 0.197658 | − | 0.737668i | 0.00789999 | − | 0.0294832i | ||||
\(627\) | 43.8504 | − | 9.32068i | 1.75121 | − | 0.372232i | ||||
\(628\) | 0.645697 | − | 3.03776i | 0.0257661 | − | 0.121220i | ||||
\(629\) | −31.7767 | − | 16.1910i | −1.26702 | − | 0.645578i | ||||
\(630\) | 100.238 | + | 81.1708i | 3.99356 | + | 3.23392i | ||||
\(631\) | −27.7217 | − | 1.45283i | −1.10358 | − | 0.0578363i | −0.508170 | − | 0.861257i | \(-0.669678\pi\) |
−0.595412 | + | 0.803421i | \(0.703011\pi\) | |||||||
\(632\) | 1.77119 | − | 11.1829i | 0.0704544 | − | 0.444831i | ||||
\(633\) | −35.7742 | − | 80.3502i | −1.42190 | − | 3.19363i | ||||
\(634\) | −20.4223 | − | 18.3883i | −0.811073 | − | 0.730293i | ||||
\(635\) | 0.891163 | + | 1.10049i | 0.0353647 | + | 0.0436718i | ||||
\(636\) | −8.62454 | + | 11.8707i | −0.341985 | + | 0.470702i | ||||
\(637\) | −17.8013 | + | 30.0090i | −0.705313 | + | 1.18900i | ||||
\(638\) | 30.2106 | + | 21.9493i | 1.19605 | + | 0.868979i | ||||
\(639\) | −4.91049 | + | 1.88496i | −0.194256 | + | 0.0745679i | ||||
\(640\) | −19.7635 | + | 4.20087i | −0.781222 | + | 0.166054i | ||||
\(641\) | 2.79005 | + | 26.5456i | 0.110201 | + | 1.04849i | 0.900229 | + | 0.435417i | \(0.143399\pi\) |
−0.790028 | + | 0.613071i | \(0.789934\pi\) | |||||||
\(642\) | −15.5060 | + | 30.4323i | −0.611974 | + | 1.20107i | ||||
\(643\) | 0.0653635 | + | 0.100651i | 0.00257769 | + | 0.00396929i | 0.839957 | − | 0.542653i | \(-0.182580\pi\) |
−0.837379 | + | 0.546622i | \(0.815913\pi\) | |||||||
\(644\) | 16.2967 | + | 0.854075i | 0.642181 | + | 0.0336553i | ||||
\(645\) | −30.8900 | − | 30.8900i | −1.21629 | − | 1.21629i | ||||
\(646\) | −31.4901 | − | 18.1808i | −1.23896 | − | 0.715314i | ||||
\(647\) | −11.0461 | + | 2.34792i | −0.434267 | + | 0.0923063i | −0.419858 | − | 0.907590i | \(-0.637920\pi\) |
−0.0144092 | + | 0.999896i | \(0.504587\pi\) | |||||||
\(648\) | 8.89226 | − | 7.20081i | 0.349321 | − | 0.282874i | ||||
\(649\) | −0.00606349 | + | 0.00440538i | −0.000238013 | + | 0.000172926i | ||||
\(650\) | 14.9669 | + | 0.961670i | 0.587052 | + | 0.0377198i | ||||
\(651\) | 0.733841 | + | 69.3276i | 0.0287615 | + | 2.71716i | ||||
\(652\) | 7.31123 | + | 1.95904i | 0.286330 | + | 0.0767219i | ||||
\(653\) | 14.5530 | + | 6.47940i | 0.569501 | + | 0.253558i | 0.671224 | − | 0.741254i | \(-0.265769\pi\) |
−0.101723 | + | 0.994813i | \(0.532435\pi\) | |||||||
\(654\) | −29.0321 | + | 12.9259i | −1.13524 | + | 0.505443i | ||||
\(655\) | 4.20987 | + | 8.26234i | 0.164493 | + | 0.322836i | ||||
\(656\) | −0.622826 | − | 2.32442i | −0.0243173 | − | 0.0907532i | ||||
\(657\) | −15.6960 | − | 58.5783i | −0.612360 | − | 2.28536i | ||||
\(658\) | 12.3017 | − | 6.26805i | 0.479572 | − | 0.244354i | ||||
\(659\) | 17.1032 | + | 3.63541i | 0.666248 | + | 0.141615i | 0.528607 | − | 0.848867i | \(-0.322715\pi\) |
0.137641 | + | 0.990482i | \(0.456048\pi\) | |||||||
\(660\) | −25.9950 | − | 23.4060i | −1.01185 | − | 0.911077i | ||||
\(661\) | 14.6148 | + | 38.0729i | 0.568450 | + | 1.48086i | 0.852850 | + | 0.522157i | \(0.174872\pi\) |
−0.284400 | + | 0.958706i | \(0.591794\pi\) | |||||||
\(662\) | 7.97754 | − | 24.5523i | 0.310056 | − | 0.954254i | ||||
\(663\) | −28.5119 | + | 30.9237i | −1.10731 | + | 1.20098i | ||||
\(664\) | 3.01289 | − | 4.14688i | 0.116923 | − | 0.160930i | ||||
\(665\) | 2.92848 | + | 55.8788i | 0.113562 | + | 2.16689i | ||||
\(666\) | −108.894 | − | 11.4452i | −4.21955 | − | 0.443492i | ||||
\(667\) | 7.62761 | + | 17.1319i | 0.295342 | + | 0.663350i | ||||
\(668\) | 9.78987 | − | 19.2137i | 0.378782 | − | 0.743401i | ||||
\(669\) | 1.57078 | − | 4.09202i | 0.0607298 | − | 0.158206i | ||||
\(670\) | 11.4983 | − | 14.1993i | 0.444220 | − | 0.548566i | ||||
\(671\) | −33.7564 | + | 17.1997i | −1.30315 | + | 0.663989i | ||||
\(672\) | 86.1143 | − | 9.05097i | 3.32193 | − | 0.349149i | ||||
\(673\) | −8.93021 | + | 9.91800i | −0.344234 | + | 0.382311i | −0.890256 | − | 0.455460i | \(-0.849475\pi\) |
0.546022 | + | 0.837771i | \(0.316142\pi\) | |||||||
\(674\) | −0.305850 | − | 5.83597i | −0.0117809 | − | 0.224793i | ||||
\(675\) | 6.92998 | − | 21.3283i | 0.266735 | − | 0.820926i | ||||
\(676\) | −19.0649 | − | 2.46011i | −0.733265 | − | 0.0946195i | ||||
\(677\) | 41.7215i | 1.60349i | 0.597669 | + | 0.801743i | \(0.296094\pi\) | ||||
−0.597669 | + | 0.801743i | \(0.703906\pi\) | |||||||
\(678\) | −66.1504 | − | 42.9586i | −2.54049 | − | 1.64981i | ||||
\(679\) | 4.21094 | − | 40.0644i | 0.161601 | − | 1.53753i | ||||
\(680\) | −1.04555 | − | 9.94772i | −0.0400949 | − | 0.381478i | ||||
\(681\) | −3.85603 | − | 3.85603i | −0.147763 | − | 0.147763i | ||||
\(682\) | 1.25128 | − | 29.9354i | 0.0479141 | − | 1.14629i | ||||
\(683\) | 28.9685 | − | 7.76210i | 1.10845 | − | 0.297008i | 0.342249 | − | 0.939609i | \(-0.388811\pi\) |
0.766201 | + | 0.642601i | \(0.222145\pi\) | |||||||
\(684\) | −46.8690 | − | 7.42332i | −1.79208 | − | 0.283838i | ||||
\(685\) | −8.57388 | − | 19.2573i | −0.327591 | − | 0.735782i | ||||
\(686\) | 4.23962 | + | 19.9459i | 0.161870 | + | 0.761537i | ||||
\(687\) | 2.26131 | − | 8.43931i | 0.0862742 | − | 0.321980i | ||||
\(688\) | −25.4194 | −0.969107 | ||||||||
\(689\) | −1.36414 | + | 11.6538i | −0.0519695 | + | 0.443975i | ||||
\(690\) | −12.7706 | − | 39.3039i | −0.486169 | − | 1.49627i | ||||
\(691\) | 1.52520 | + | 29.1026i | 0.0580214 | + | 1.10711i | 0.860176 | + | 0.509998i | \(0.170354\pi\) |
−0.802154 | + | 0.597117i | \(0.796313\pi\) | |||||||
\(692\) | −16.2351 | − | 7.22832i | −0.617165 | − | 0.274779i | ||||
\(693\) | −49.6513 | − | 55.1433i | −1.88610 | − | 2.09472i | ||||
\(694\) | −21.0342 | − | 3.33149i | −0.798447 | − | 0.126462i | ||||
\(695\) | 41.7744 | + | 16.0357i | 1.58459 | + | 0.608269i | ||||
\(696\) | 11.2052 | + | 17.2545i | 0.424731 | + | 0.654029i | ||||
\(697\) | 1.90600 | − | 0.301881i | 0.0721949 | − | 0.0114346i | ||||
\(698\) | 37.8137 | − | 16.8357i | 1.43127 | − | 0.637242i | ||||
\(699\) | −37.2256 | + | 41.3432i | −1.40800 | + | 1.56374i | ||||
\(700\) | 10.4662 | − | 8.47537i | 0.395586 | − | 0.320339i | ||||
\(701\) | 5.43510 | + | 7.48077i | 0.205281 | + | 0.282545i | 0.899227 | − | 0.437482i | \(-0.144130\pi\) |
−0.693946 | + | 0.720027i | \(0.744130\pi\) | |||||||
\(702\) | −24.9767 | + | 62.8391i | −0.942684 | + | 2.37171i | ||||
\(703\) | −27.9204 | − | 38.4292i | −1.05304 | − | 1.44938i | ||||
\(704\) | −9.87592 | + | 0.517575i | −0.372213 | + | 0.0195069i | ||||
\(705\) | −11.0447 | − | 9.94470i | −0.415968 | − | 0.374539i | ||||
\(706\) | 15.0478 | + | 16.7122i | 0.566330 | + | 0.628974i | ||||
\(707\) | 35.2979 | − | 35.2979i | 1.32751 | − | 1.32751i | ||||
\(708\) | 0.0113135 | − | 0.00303146i | 0.000425189 | − | 0.000113929i | ||||
\(709\) | −42.7202 | − | 2.23887i | −1.60439 | − | 0.0840826i | −0.771025 | − | 0.636805i | \(-0.780256\pi\) |
−0.833366 | + | 0.552722i | \(0.813589\pi\) | |||||||
\(710\) | 0.655249 | + | 4.13708i | 0.0245910 | + | 0.155262i | ||||
\(711\) | 72.9335 | − | 7.66562i | 2.73522 | − | 0.287483i | ||||
\(712\) | −8.07324 | − | 13.9833i | −0.302557 | − | 0.524045i | ||||
\(713\) | 8.06094 | − | 12.7052i | 0.301884 | − | 0.475812i | ||||
\(714\) | 88.8560i | 3.32535i | ||||||||
\(715\) | −27.2901 | − | 6.13827i | −1.02059 | − | 0.229558i | ||||
\(716\) | 19.9849 | − | 27.5069i | 0.746871 | − | 1.02798i | ||||
\(717\) | −11.7342 | + | 18.0691i | −0.438223 | + | 0.674804i | ||||
\(718\) | 27.8024 | + | 48.1551i | 1.03758 | + | 1.79713i | ||||
\(719\) | 6.40391 | − | 11.0919i | 0.238825 | − | 0.413658i | −0.721552 | − | 0.692360i | \(-0.756571\pi\) |
0.960378 | + | 0.278702i | \(0.0899043\pi\) | |||||||
\(720\) | −36.6777 | − | 71.9840i | −1.36690 | − | 2.68269i | ||||
\(721\) | −15.0047 | + | 9.74414i | −0.558803 | + | 0.362891i | ||||
\(722\) | −7.07656 | − | 10.8970i | −0.263362 | − | 0.405543i | ||||
\(723\) | −51.9853 | − | 8.23367i | −1.93336 | − | 0.306213i | ||||
\(724\) | 24.6203 | − | 22.1682i | 0.915007 | − | 0.823876i | ||||
\(725\) | 14.1383 | + | 6.29477i | 0.525083 | + | 0.233782i | ||||
\(726\) | −9.57629 | − | 11.8257i | −0.355409 | − | 0.438894i | ||||
\(727\) | 18.9694 | − | 6.16353i | 0.703536 | − | 0.228593i | 0.0646655 | − | 0.997907i | \(-0.479402\pi\) |
0.638871 | + | 0.769314i | \(0.279402\pi\) | |||||||
\(728\) | 11.6808 | − | 8.27772i | 0.432920 | − | 0.306793i | ||||
\(729\) | −14.4585 | − | 10.5047i | −0.535500 | − | 0.389063i | ||||
\(730\) | −48.2279 | + | 2.52752i | −1.78499 | + | 0.0935476i | ||||
\(731\) | 2.13076 | − | 20.2728i | 0.0788088 | − | 0.749816i | ||||
\(732\) | 58.8816 | − | 6.18871i | 2.17633 | − | 0.228741i | ||||
\(733\) | 14.9585 | + | 29.3576i | 0.552503 | + | 1.08435i | 0.983316 | + | 0.181907i | \(0.0582270\pi\) |
−0.430813 | + | 0.902441i | \(0.641773\pi\) | |||||||
\(734\) | 7.64252 | − | 9.43772i | 0.282090 | − | 0.348353i | ||||
\(735\) | 66.5433 | − | 43.2138i | 2.45449 | − | 1.59396i | ||||
\(736\) | −16.7436 | − | 8.53130i | −0.617178 | − | 0.314468i | ||||
\(737\) | −7.81139 | + | 7.03341i | −0.287736 | + | 0.259079i | ||||
\(738\) | 5.13092 | − | 2.96234i | 0.188872 | − | 0.109045i | ||||
\(739\) | −8.45485 | − | 2.26547i | −0.311017 | − | 0.0833367i | 0.0999344 | − | 0.994994i | \(-0.468137\pi\) |
−0.410951 | + | 0.911657i | \(0.634803\pi\) | |||||||
\(740\) | −11.4534 | + | 35.2498i | −0.421034 | + | 1.29581i | ||||
\(741\) | −52.5352 | + | 19.4580i | −1.92993 | + | 0.714808i | ||||
\(742\) | 14.5693 | + | 20.0530i | 0.534857 | + | 0.736168i | ||||
\(743\) | −8.75978 | + | 32.6920i | −0.321365 | + | 1.19935i | 0.596550 | + | 0.802576i | \(0.296538\pi\) |
−0.917916 | + | 0.396776i | \(0.870129\pi\) | |||||||
\(744\) | 6.55409 | − | 15.1503i | 0.240284 | − | 0.555436i | ||||
\(745\) | −41.8816 | − | 24.1803i | −1.53442 | − | 0.885899i | ||||
\(746\) | 4.32049 | − | 27.2785i | 0.158184 | − | 0.998736i | ||||
\(747\) | 30.9952 | + | 11.8979i | 1.13406 | + | 0.435323i | ||||
\(748\) | 0.854244 | − | 16.2999i | 0.0312342 | − | 0.595985i | ||||
\(749\) | 17.3422 | + | 17.3422i | 0.633670 | + | 0.633670i | ||||
\(750\) | 36.6815 | + | 21.1781i | 1.33942 | + | 0.773314i | ||||
\(751\) | −10.4927 | − | 49.3643i | −0.382884 | − | 1.80133i | −0.572986 | − | 0.819565i | \(-0.694215\pi\) |
0.190102 | − | 0.981764i | \(-0.439118\pi\) | |||||||
\(752\) | −8.63609 | + | 0.452599i | −0.314926 | + | 0.0165046i | ||||
\(753\) | 20.2998 | − | 6.59582i | 0.739767 | − | 0.240365i | ||||
\(754\) | −41.3264 | − | 21.6751i | −1.50502 | − | 0.789361i | ||||
\(755\) | −12.4781 | − | 4.05438i | −0.454125 | − | 0.147554i | ||||
\(756\) | 21.7605 | + | 56.6881i | 0.791422 | + | 2.06172i | ||||
\(757\) | 10.1739 | + | 1.06932i | 0.369776 | + | 0.0388650i | 0.287594 | − | 0.957752i | \(-0.407145\pi\) |
0.0821816 | + | 0.996617i | \(0.473811\pi\) | |||||||
\(758\) | −6.18903 | + | 29.1171i | −0.224796 | + | 1.05758i | ||||
\(759\) | 3.71923 | + | 23.4823i | 0.135000 | + | 0.852353i | ||||
\(760\) | 4.77435 | − | 12.4376i | 0.173184 | − | 0.451160i | ||||
\(761\) | 16.6969 | − | 10.8431i | 0.605261 | − | 0.393061i | −0.205314 | − | 0.978696i | \(-0.565822\pi\) |
0.810575 | + | 0.585635i | \(0.199155\pi\) | |||||||
\(762\) | 0.468531 | + | 2.95819i | 0.0169731 | + | 0.107164i | ||||
\(763\) | 2.38533 | + | 22.6949i | 0.0863547 | + | 0.821610i | ||||
\(764\) | −3.49396 | − | 16.4378i | −0.126407 | − | 0.594698i | ||||
\(765\) | 60.4839 | − | 23.2176i | 2.18680 | − | 0.839434i | ||||
\(766\) | −17.9307 | − | 55.1851i | −0.647863 | − | 1.99392i | ||||
\(767\) | 0.00670059 | − | 0.00654423i | 0.000241944 | − | 0.000236298i | ||||
\(768\) | −60.5234 | − | 19.6652i | −2.18395 | − | 0.709608i | ||||
\(769\) | 33.3661 | + | 8.94043i | 1.20321 | + | 0.322400i | 0.804096 | − | 0.594500i | \(-0.202650\pi\) |
0.399117 | + | 0.916900i | \(0.369317\pi\) | |||||||
\(770\) | −51.1742 | + | 29.5454i | −1.84419 | + | 1.06474i | ||||
\(771\) | 46.5017 | + | 51.6454i | 1.67472 | + | 1.85996i | ||||
\(772\) | −29.3285 | + | 4.64518i | −1.05556 | + | 0.167184i | ||||
\(773\) | −13.7856 | + | 17.0238i | −0.495833 | + | 0.612302i | −0.962218 | − | 0.272279i | \(-0.912223\pi\) |
0.466386 | + | 0.884582i | \(0.345556\pi\) | |||||||
\(774\) | −16.1978 | − | 60.4511i | −0.582219 | − | 2.17287i | ||||
\(775\) | −2.07221 | − | 12.2432i | −0.0744359 | − | 0.439790i | ||||
\(776\) | −4.79575 | + | 8.30649i | −0.172158 | + | 0.298186i | ||||
\(777\) | −47.2129 | + | 106.042i | −1.69375 | + | 3.80423i | ||||
\(778\) | 0.348188 | + | 0.429977i | 0.0124832 | + | 0.0154154i | ||||
\(779\) | 2.44448 | + | 0.794258i | 0.0875824 | + | 0.0284573i | ||||
\(780\) | 36.3774 | + | 24.2390i | 1.30252 | + | 0.867897i | ||||
\(781\) | − | 2.40971i | − | 0.0862263i | ||||||
\(782\) | 10.5028 | − | 16.1728i | 0.375578 | − | 0.578339i | ||||
\(783\) | −46.6907 | + | 51.8553i | −1.66859 | + | 1.85316i | ||||
\(784\) | 9.59897 | − | 45.1596i | 0.342820 | − | 1.61284i | ||||
\(785\) | −0.883448 | + | 5.57787i | −0.0315316 | + | 0.199083i | ||||
\(786\) | −1.02646 | + | 19.5860i | −0.0366126 | + | 0.698611i | ||||
\(787\) | −23.6252 | − | 19.1313i | −0.842148 | − | 0.681958i | 0.107866 | − | 0.994165i | \(-0.465598\pi\) |
−0.950014 | + | 0.312207i | \(0.898932\pi\) | |||||||
\(788\) | 26.7676 | − | 4.23957i | 0.953555 | − | 0.151028i | ||||
\(789\) | −44.4348 | − | 9.44492i | −1.58192 | − | 0.336248i | ||||
\(790\) | 6.10447 | − | 58.0802i | 0.217187 | − | 2.06640i | ||||
\(791\) | −44.0159 | + | 35.6433i | −1.56502 | + | 1.26733i | ||||
\(792\) | 5.45940 | + | 16.8023i | 0.193991 | + | 0.597044i | ||||
\(793\) | 38.6285 | − | 27.3745i | 1.37174 | − | 0.972095i | ||||
\(794\) | −0.462236 | + | 0.335834i | −0.0164042 | + | 0.0119183i | ||||
\(795\) | 14.5320 | − | 22.3773i | 0.515396 | − | 0.793640i | ||||
\(796\) | −16.3998 | + | 36.8346i | −0.581277 | + | 1.30557i | ||||
\(797\) | −27.5096 | − | 5.84735i | −0.974441 | − | 0.207124i | −0.306937 | − | 0.951730i | \(-0.599304\pi\) |
−0.667504 | + | 0.744606i | \(0.732637\pi\) | |||||||
\(798\) | −53.7291 | + | 105.449i | −1.90199 | + | 3.73287i | ||||
\(799\) | 0.362950 | − | 6.92549i | 0.0128402 | − | 0.245006i | ||||
\(800\) | −14.9797 | + | 4.01380i | −0.529613 | + | 0.141909i | ||||
\(801\) | 73.9506 | − | 73.9506i | 2.61292 | − | 2.61292i | ||||
\(802\) | −45.4603 | + | 40.9327i | −1.60526 | + | 1.44538i | ||||
\(803\) | 27.6312 | + | 2.90416i | 0.975084 | + | 0.102485i | ||||
\(804\) | 15.3355 | − | 5.88673i | 0.540840 | − | 0.207609i | ||||
\(805\) | −29.6753 | −1.04592 | ||||||||
\(806\) | 3.86833 | + | 37.2418i | 0.136256 | + | 1.31178i | ||||
\(807\) | −15.2395 | −0.536457 | ||||||||
\(808\) | −11.0958 | + | 4.25927i | −0.390348 | + | 0.149841i | ||||
\(809\) | −44.8748 | − | 4.71653i | −1.57771 | − | 0.165824i | −0.725204 | − | 0.688534i | \(-0.758255\pi\) |
−0.852511 | + | 0.522710i | \(0.824921\pi\) | |||||||
\(810\) | 43.8594 | − | 39.4912i | 1.54106 | − | 1.38758i | ||||
\(811\) | −14.5125 | + | 14.5125i | −0.509601 | + | 0.509601i | −0.914404 | − | 0.404803i | \(-0.867340\pi\) |
0.404803 | + | 0.914404i | \(0.367340\pi\) | |||||||
\(812\) | −40.4763 | + | 10.8456i | −1.42044 | + | 0.380605i | ||||
\(813\) | 0.226017 | − | 4.31265i | 0.00792675 | − | 0.151251i | ||||
\(814\) | 22.7734 | − | 44.6953i | 0.798207 | − | 1.56657i | ||||
\(815\) | −13.4633 | − | 2.86170i | −0.471597 | − | 0.100241i | ||||
\(816\) | 22.6374 | − | 50.8445i | 0.792469 | − | 1.77991i | ||||
\(817\) | 14.7871 | − | 22.7702i | 0.517336 | − | 0.796628i | ||||
\(818\) | 23.6054 | − | 17.1503i | 0.825344 | − | 0.599648i | ||||
\(819\) | 71.3702 | + | 59.2029i | 2.49388 | + | 2.06872i | ||||
\(820\) | −0.619740 | − | 1.90736i | −0.0216422 | − | 0.0666080i | ||||
\(821\) | 27.4944 | − | 22.2646i | 0.959563 | − | 0.777039i | −0.0152912 | − | 0.999883i | \(-0.504868\pi\) |
0.974854 | + | 0.222844i | \(0.0715342\pi\) | |||||||
\(822\) | 4.66035 | − | 44.3403i | 0.162549 | − | 1.54655i | ||||
\(823\) | 3.37176 | + | 0.716690i | 0.117532 | + | 0.0249823i | 0.266302 | − | 0.963890i | \(-0.414198\pi\) |
−0.148770 | + | 0.988872i | \(0.547531\pi\) | |||||||
\(824\) | 4.20724 | − | 0.666362i | 0.146566 | − | 0.0232138i | ||||
\(825\) | 15.2480 | + | 12.3476i | 0.530869 | + | 0.429889i | ||||
\(826\) | 0.00103552 | − | 0.0197589i | 3.60304e−5 | − | 0.000687501i | ||||
\(827\) | −2.97840 | + | 18.8049i | −0.103569 | + | 0.653910i | 0.880218 | + | 0.474570i | \(0.157396\pi\) |
−0.983787 | + | 0.179340i | \(0.942604\pi\) | |||||||
\(828\) | 5.23235 | − | 24.6162i | 0.181837 | − | 0.855474i | ||||
\(829\) | −11.1092 | + | 12.3380i | −0.385839 | + | 0.428518i | −0.904508 | − | 0.426457i | \(-0.859761\pi\) |
0.518668 | + | 0.854976i | \(0.326428\pi\) | |||||||
\(830\) | 14.3997 | − | 22.1735i | 0.499820 | − | 0.769655i | ||||
\(831\) | 5.24188i | 0.181839i | ||||||||
\(832\) | 12.1180 | − | 2.42662i | 0.420117 | − | 0.0841280i | ||||
\(833\) | 35.2115 | + | 11.4409i | 1.22001 | + | 0.396404i | ||||
\(834\) | 59.5594 | + | 73.5498i | 2.06237 | + | 2.54682i | ||||
\(835\) | −15.9493 | + | 35.8228i | −0.551949 | + | 1.23970i | ||||
\(836\) | 10.8700 | − | 18.8273i | 0.375945 | − | 0.651156i | ||||
\(837\) | 55.3867 | + | 8.17241i | 1.91444 | + | 0.282480i | ||||
\(838\) | 4.17011 | + | 15.5630i | 0.144054 | + | 0.537617i | ||||
\(839\) | 6.08178 | − | 7.51037i | 0.209966 | − | 0.259287i | −0.661273 | − | 0.750145i | \(-0.729984\pi\) |
0.871239 | + | 0.490859i | \(0.163317\pi\) | |||||||
\(840\) | −32.1551 | + | 5.09286i | −1.10946 | + | 0.175720i | ||||
\(841\) | −12.8168 | − | 14.2345i | −0.441959 | − | 0.490845i | ||||
\(842\) | 6.89164 | − | 3.97889i | 0.237502 | − | 0.137122i | ||||
\(843\) | −38.6630 | − | 10.3597i | −1.33162 | − | 0.356808i | ||||
\(844\) | −40.5650 | − | 13.1804i | −1.39631 | − | 0.453687i | ||||
\(845\) | 34.8550 | + | 2.65302i | 1.19905 | + | 0.0912667i | ||||
\(846\) | −6.57946 | − | 20.2495i | −0.226206 | − | 0.696192i | ||||
\(847\) | −10.2010 | + | 3.91579i | −0.350510 | + | 0.134548i | ||||
\(848\) | −3.22795 | − | 15.1863i | −0.110848 | − | 0.521500i | ||||
\(849\) | 0.737076 | + | 7.01281i | 0.0252964 | + | 0.240679i | ||||
\(850\) | −2.48953 | − | 15.7183i | −0.0853903 | − | 0.539133i | ||||
\(851\) | 21.1274 | − | 13.7203i | 0.724239 | − | 0.470326i | ||||
\(852\) | −1.34954 | + | 3.51566i | −0.0462343 | + | 0.120445i | ||||
\(853\) | 7.42703 | + | 46.8924i | 0.254297 | + | 1.60557i | 0.702534 | + | 0.711650i | \(0.252052\pi\) |
−0.448237 | + | 0.893915i | \(0.647948\pi\) | |||||||
\(854\) | 20.7945 | − | 97.8304i | 0.711573 | − | 3.34769i | ||||
\(855\) | 85.8181 | + | 9.01984i | 2.93492 | + | 0.308472i | ||||
\(856\) | −2.09262 | − | 5.45147i | −0.0715243 | − | 0.186327i | ||||
\(857\) | 40.5882 | + | 13.1879i | 1.38647 | + | 0.450490i | 0.904790 | − | 0.425859i | \(-0.140028\pi\) |
0.481677 | + | 0.876349i | \(0.340028\pi\) | |||||||
\(858\) | −43.4956 | − | 40.1033i | −1.48491 | − | 1.36911i | ||||
\(859\) | −9.11128 | + | 2.96043i | −0.310873 | + | 0.101009i | −0.460298 | − | 0.887764i | \(-0.652258\pi\) |
0.149426 | + | 0.988773i | \(0.452258\pi\) | |||||||
\(860\) | −21.1557 | + | 1.10872i | −0.721403 | + | 0.0378071i | ||||
\(861\) | −1.30588 | − | 6.14367i | −0.0445042 | − | 0.209376i | ||||
\(862\) | 58.8428 | + | 33.9729i | 2.00419 | + | 1.15712i | ||||
\(863\) | 20.8242 | + | 20.8242i | 0.708864 | + | 0.708864i | 0.966296 | − | 0.257432i | \(-0.0828763\pi\) |
−0.257432 | + | 0.966296i | \(0.582876\pi\) | |||||||
\(864\) | 3.65942 | − | 69.8260i | 0.124496 | − | 2.37553i | ||||
\(865\) | 30.1699 | + | 11.5812i | 1.02581 | + | 0.393771i | ||||
\(866\) | 1.32900 | − | 8.39095i | 0.0451611 | − | 0.285136i | ||||
\(867\) | −6.23938 | − | 3.60231i | −0.211900 | − | 0.122341i | ||||
\(868\) | 25.2225 | + | 22.2316i | 0.856107 | + | 0.754589i | ||||
\(869\) | −8.69563 | + | 32.4526i | −0.294979 | + | 1.10088i | ||||
\(870\) | 62.3747 | + | 85.8514i | 2.11470 | + | 2.91064i | ||||
\(871\) | 8.38646 | − | 10.1100i | 0.284164 | − | 0.342565i | ||||
\(872\) | 1.67895 | − | 5.16729i | 0.0568565 | − | 0.174986i | ||||
\(873\) | −60.0081 | − | 16.0791i | −2.03097 | − | 0.544195i | ||||
\(874\) | 22.2434 | − | 12.8422i | 0.752395 | − | 0.434395i | ||||
\(875\) | 22.6024 | − | 20.3513i | 0.764102 | − | 0.688001i | ||||
\(876\) | −38.6862 | − | 19.7116i | −1.30709 | − | 0.665994i | ||||
\(877\) | 38.8420 | − | 25.2243i | 1.31160 | − | 0.851764i | 0.316307 | − | 0.948657i | \(-0.397557\pi\) |
0.995295 | + | 0.0968923i | \(0.0308902\pi\) | |||||||
\(878\) | 13.2779 | − | 16.3968i | 0.448106 | − | 0.553365i | ||||
\(879\) | −5.62037 | − | 11.0306i | −0.189570 | − | 0.372053i | ||||
\(880\) | 36.8097 | − | 3.86885i | 1.24085 | − | 0.130419i | ||||
\(881\) | 0.940502 | − | 8.94828i | 0.0316863 | − | 0.301475i | −0.967189 | − | 0.254058i | \(-0.918234\pi\) |
0.998875 | − | 0.0474168i | \(-0.0150989\pi\) | |||||||
\(882\) | 113.513 | − | 5.94895i | 3.82217 | − | 0.200312i | ||||
\(883\) | −27.2410 | − | 19.7917i | −0.916731 | − | 0.666044i | 0.0259768 | − | 0.999663i | \(-0.491730\pi\) |
−0.942708 | + | 0.333618i | \(0.891730\pi\) | |||||||
\(884\) | 1.89251 | + | 20.3096i | 0.0636521 | + | 0.683085i | ||||
\(885\) | −0.0202563 | + | 0.00658167i | −0.000680908 | + | 0.000221240i | ||||
\(886\) | −4.56612 | − | 5.63869i | −0.153402 | − | 0.189436i | ||||
\(887\) | −9.14483 | − | 4.07154i | −0.307053 | − | 0.136709i | 0.247425 | − | 0.968907i | \(-0.420416\pi\) |
−0.554478 | + | 0.832198i | \(0.687082\pi\) | |||||||
\(888\) | 20.5383 | − | 18.4927i | 0.689219 | − | 0.620575i | ||||
\(889\) | 2.12418 | + | 0.336437i | 0.0712426 | + | 0.0112837i | ||||
\(890\) | −45.3593 | − | 69.8472i | −1.52045 | − | 2.34128i | ||||
\(891\) | −28.4755 | + | 18.4922i | −0.953967 | + | 0.619513i | ||||
\(892\) | −0.964987 | − | 1.89389i | −0.0323101 | − | 0.0634122i | ||||
\(893\) | 4.61841 | − | 7.99932i | 0.154549 | − | 0.267687i | ||||
\(894\) | −51.1425 | − | 88.5815i | −1.71046 | − | 2.96261i | ||||
\(895\) | −33.6737 | + | 51.8529i | −1.12559 | + | 1.73325i | ||||
\(896\) | −18.0370 | + | 24.8258i | −0.602574 | + | 0.829372i | ||||
\(897\) | −8.84700 | − | 28.3632i | −0.295393 | − | 0.947021i | ||||
\(898\) | 0.337787i | 0.0112721i | ||||||||
\(899\) | −9.60431 | + | 37.4238i | −0.320322 | + | 1.24816i | ||||
\(900\) | −10.3843 | − | 17.9862i | −0.346144 | − | 0.599540i | ||||
\(901\) | 12.3821 | − | 1.30142i | 0.412509 | − | 0.0433564i | ||||
\(902\) | 0.424609 | + | 2.68088i | 0.0141379 | + | 0.0892634i | ||||
\(903\) | −66.2558 | − | 3.47232i | −2.20485 | − | 0.115551i | ||||
\(904\) | 13.0255 | − | 3.49016i | 0.433220 | − | 0.116081i | ||||
\(905\) | −42.5995 | + | 42.5995i | −1.41605 | + | 1.41605i | ||||
\(906\) | −18.5684 | − | 20.6222i | −0.616892 | − | 0.685128i | ||||
\(907\) | −2.93392 | − | 2.64172i | −0.0974193 | − | 0.0877167i | 0.618982 | − | 0.785405i | \(-0.287545\pi\) |
−0.716401 | + | 0.697688i | \(0.754212\pi\) | |||||||
\(908\) | −2.64088 | + | 0.138403i | −0.0876407 | + | 0.00459306i | ||||
\(909\) | −45.2485 | − | 62.2792i | −1.50080 | − | 2.06567i | ||||
\(910\) | 57.9324 | − | 45.7910i | 1.92044 | − | 1.51796i | ||||
\(911\) | −31.9284 | − | 43.9457i | −1.05784 | − | 1.45599i | −0.881813 | − | 0.471599i | \(-0.843677\pi\) |
−0.176023 | − | 0.984386i | \(-0.556323\pi\) | |||||||
\(912\) | 57.6093 | − | 46.6511i | 1.90763 | − | 1.54477i | ||||
\(913\) | −10.1776 | + | 11.3034i | −0.336830 | + | 0.374087i | ||||
\(914\) | −59.5040 | + | 26.4929i | −1.96822 | + | 0.876307i | ||||
\(915\) | −106.337 | + | 16.8421i | −3.51539 | + | 0.556783i | ||||
\(916\) | −2.30760 | − | 3.55340i | −0.0762453 | − | 0.117408i | ||||
\(917\) | 13.1480 | + | 5.04704i | 0.434185 | + | 0.166668i | ||||
\(918\) | 70.8694 | + | 11.2246i | 2.33904 | + | 0.370467i | ||||
\(919\) | 23.9374 | + | 26.5852i | 0.789624 | + | 0.876966i | 0.994809 | − | 0.101757i | \(-0.0324465\pi\) |
−0.205186 | + | 0.978723i | \(0.565780\pi\) | |||||||
\(920\) | 6.45457 | + | 2.87376i | 0.212801 | + | 0.0947451i | ||||
\(921\) | 1.23565 | + | 23.5776i | 0.0407161 | + | 0.776909i | ||||
\(922\) | 17.4953 | + | 53.8449i | 0.576176 | + | 1.77329i | ||||
\(923\) | 0.435937 | + | 2.97963i | 0.0143490 | + | 0.0980758i | ||||
\(924\) | −53.1254 | −1.74770 | ||||||||
\(925\) | 5.38075 | − | 20.0812i | 0.176918 | − | 0.660266i | ||||
\(926\) | −3.46572 | − | 16.3049i | −0.113891 | − | 0.535813i | ||||
\(927\) | 11.2220 | + | 25.2050i | 0.368578 | + | 0.827841i | ||||
\(928\) | 47.6595 | + | 7.54852i | 1.56450 | + | 0.247792i | ||||
\(929\) | 42.5382 | − | 11.3981i | 1.39563 | − | 0.373958i | 0.518858 | − | 0.854861i | \(-0.326358\pi\) |
0.876774 | + | 0.480902i | \(0.159691\pi\) | |||||||
\(930\) | 29.6697 | − | 79.8070i | 0.972909 | − | 2.61698i | ||||
\(931\) | 34.8690 | + | 34.8690i | 1.14279 | + | 1.14279i | ||||
\(932\) | 2.82003 | + | 26.8308i | 0.0923733 | + | 0.878873i | ||||
\(933\) | 5.66277 | − | 53.8776i | 0.185391 | − | 1.76387i | ||||
\(934\) | 41.4468 | + | 26.9159i | 1.35618 | + | 0.880715i | ||||
\(935\) | 29.6811i | 0.970677i | ||||||||
\(936\) | −9.79027 | − | 19.7885i | −0.320005 | − | 0.646809i | ||||
\(937\) | −10.8756 | + | 33.4715i | −0.355289 | + | 1.09347i | 0.600553 | + | 0.799585i | \(0.294947\pi\) |
−0.955842 | + | 0.293882i | \(0.905053\pi\) | |||||||
\(938\) | −1.45228 | − | 27.7111i | −0.0474185 | − | 0.904799i | ||||
\(939\) | −0.835427 | + | 0.927836i | −0.0272631 | + | 0.0302788i | ||||
\(940\) | −7.16777 | + | 0.753363i | −0.233787 | + | 0.0245720i | ||||
\(941\) | 43.2850 | − | 22.0548i | 1.41105 | − | 0.718965i | 0.428253 | − | 0.903659i | \(-0.359129\pi\) |
0.982796 | + | 0.184694i | \(0.0591292\pi\) | |||||||
\(942\) | −7.51693 | + | 9.28263i | −0.244915 | + | 0.302444i | ||||
\(943\) | −0.488495 | + | 1.27257i | −0.0159076 | + | 0.0414407i | ||||
\(944\) | −0.00562643 | + | 0.0110425i | −0.000183125 | + | 0.000359402i | ||||
\(945\) | −44.9109 | − | 100.872i | −1.46095 | − | 3.28135i | ||||
\(946\) | 28.5146 | + | 2.99700i | 0.927089 | + | 0.0974410i | ||||
\(947\) | −0.560507 | − | 10.6951i | −0.0182140 | − | 0.347545i | −0.992501 | − | 0.122235i | \(-0.960994\pi\) |
0.974287 | − | 0.225310i | \(-0.0723394\pi\) | |||||||
\(948\) | 30.8613 | − | 42.4769i | 1.00233 | − | 1.37959i | ||||
\(949\) | −34.6916 | + | 1.40769i | −1.12614 | + | 0.0456956i | ||||
\(950\) | 6.55004 | − | 20.1590i | 0.212511 | − | 0.654043i | ||||
\(951\) | 16.1005 | + | 41.9433i | 0.522096 | + | 1.36011i | ||||
\(952\) | −11.2893 | − | 10.1650i | −0.365889 | − | 0.329448i | ||||
\(953\) | −20.5531 | − | 4.36871i | −0.665782 | − | 0.141516i | −0.137390 | − | 0.990517i | \(-0.543871\pi\) |
−0.528392 | + | 0.849001i | \(0.677205\pi\) | |||||||
\(954\) | 34.0584 | − | 17.3536i | 1.10268 | − | 0.561844i | ||||
\(955\) | 7.90922 | + | 29.5176i | 0.255936 | + | 0.955168i | ||||
\(956\) | 2.70415 | + | 10.0920i | 0.0874585 | + | 0.326399i | ||||
\(957\) | −27.7158 | − | 54.3954i | −0.895926 | − | 1.75835i | ||||
\(958\) | −32.8850 | + | 14.6414i | −1.06247 | + | 0.473041i | ||||
\(959\) | −29.2469 | − | 13.0216i | −0.944432 | − | 0.420488i | ||||
\(960\) | −27.1460 | − | 7.27375i | −0.876134 | − | 0.234759i | ||||
\(961\) | 29.2734 | − | 10.2015i | 0.944302 | − | 0.329080i | ||||
\(962\) | −20.0738 | + | 59.3860i | −0.647204 | + | 1.91468i | ||||
\(963\) | 30.5984 | − | 22.2310i | 0.986018 | − | 0.716384i | ||||
\(964\) | −19.8359 | + | 16.0628i | −0.638872 | + | 0.517349i | ||||
\(965\) | 52.8169 | − | 11.2266i | 1.70024 | − | 0.361397i | ||||
\(966\) | −54.3557 | − | 31.3823i | −1.74887 | − | 1.00971i | ||||
\(967\) | −30.9095 | − | 30.9095i | −0.993981 | − | 0.993981i | 0.00600093 | − | 0.999982i | \(-0.498090\pi\) |
−0.999982 | + | 0.00600093i | \(0.998090\pi\) | |||||||
\(968\) | 2.59799 | + | 0.136155i | 0.0835026 | + | 0.00437619i | ||||
\(969\) | 32.3766 | + | 49.8557i | 1.04009 | + | 1.60159i | ||||
\(970\) | −22.4602 | + | 44.0806i | −0.721153 | + | 1.41534i | ||||
\(971\) | 2.96514 | + | 28.2114i | 0.0951559 | + | 0.905348i | 0.933106 | + | 0.359601i | \(0.117087\pi\) |
−0.837950 | + | 0.545747i | \(0.816246\pi\) | |||||||
\(972\) | 8.26902 | − | 1.75764i | 0.265229 | − | 0.0563762i | ||||
\(973\) | 63.4448 | − | 24.3542i | 2.03395 | − | 0.780759i | ||||
\(974\) | 25.8644 | + | 18.7916i | 0.828749 | + | 0.602122i | ||||
\(975\) | −21.0881 | − | 12.5095i | −0.675361 | − | 0.400623i | ||||
\(976\) | −36.8226 | + | 50.6820i | −1.17866 | + | 1.62229i | ||||
\(977\) | −6.41959 | − | 7.92753i | −0.205381 | − | 0.253624i | 0.664039 | − | 0.747698i | \(-0.268841\pi\) |
−0.869420 | + | 0.494073i | \(0.835507\pi\) | |||||||
\(978\) | −21.6341 | − | 19.4794i | −0.691783 | − | 0.622884i | ||||
\(979\) | 19.4878 | + | 43.7702i | 0.622832 | + | 1.39890i | ||||
\(980\) | 6.01914 | − | 38.0034i | 0.192274 | − | 1.21397i | ||||
\(981\) | 35.1431 | + | 1.84177i | 1.12203 | + | 0.0588032i | ||||
\(982\) | 35.5626 | + | 28.7980i | 1.13485 | + | 0.918982i | ||||
\(983\) | −31.6274 | − | 16.1150i | −1.00876 | − | 0.513988i | −0.130131 | − | 0.991497i | \(-0.541540\pi\) |
−0.878627 | + | 0.477509i | \(0.841540\pi\) | |||||||
\(984\) | −0.310917 | + | 1.46275i | −0.00991168 | + | 0.0466308i | ||||
\(985\) | −48.2050 | + | 10.2463i | −1.53594 | + | 0.326474i | ||||
\(986\) | −12.8160 | + | 47.8299i | −0.408144 | + | 1.52321i | ||||
\(987\) | −22.5718 | −0.718468 | ||||||||
\(988\) | −10.0348 | + | 25.2466i | −0.319249 | + | 0.803202i | ||||
\(989\) | 11.6489 | + | 8.46342i | 0.370413 | + | 0.269121i | ||||
\(990\) | 32.6566 | + | 85.0734i | 1.03790 | + | 2.70381i | ||||
\(991\) | −47.8505 | + | 27.6265i | −1.52002 | + | 0.877585i | −0.520300 | + | 0.853984i | \(0.674180\pi\) |
−0.999721 | + | 0.0236008i | \(0.992487\pi\) | |||||||
\(992\) | −16.1208 | − | 35.2003i | −0.511834 | − | 1.11761i | ||||
\(993\) | −29.8436 | + | 29.8436i | −0.947059 | + | 0.947059i | ||||
\(994\) | 4.94381 | + | 4.00342i | 0.156808 | + | 0.126981i | ||||
\(995\) | 26.2757 | − | 68.4505i | 0.832995 | − | 2.17003i | ||||
\(996\) | 21.1790 | − | 10.7913i | 0.671083 | − | 0.341934i | ||||
\(997\) | 18.8234 | − | 32.6031i | 0.596143 | − | 1.03255i | −0.397242 | − | 0.917714i | \(-0.630032\pi\) |
0.993384 | − | 0.114836i | \(-0.0366342\pi\) | |||||||
\(998\) | −6.42779 | − | 11.1333i | −0.203468 | − | 0.352417i | ||||
\(999\) | 78.6123 | + | 51.0514i | 2.48718 | + | 1.61520i |
(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 | 403.2.cb.a.15.7 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.7 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.7 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.7 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.7 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.7 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.7 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.7 | yes | 576 | 403.215 | even | 60 | inner |