Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (of order \(6\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.16 | ||
Character | \(\chi\) | \(=\) | 280.19 |
Dual form | 280.2.ba.b.59.16 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.498189 | − | 1.32356i | −0.352273 | − | 0.935897i | ||||
\(3\) | −0.929162 | − | 1.60936i | −0.536452 | − | 0.929162i | −0.999092 | − | 0.0426153i | \(-0.986431\pi\) |
0.462640 | − | 0.886546i | \(-0.346902\pi\) | |||||||
\(4\) | −1.50361 | + | 1.31877i | −0.751807 | + | 0.659383i | ||||
\(5\) | −2.18875 | + | 0.457553i | −0.978841 | + | 0.204624i | ||||
\(6\) | −1.66718 | + | 2.03156i | −0.680622 | + | 0.829382i | ||||
\(7\) | −1.10610 | + | 2.40345i | −0.418066 | + | 0.908417i | ||||
\(8\) | 2.49455 | + | 1.33313i | 0.881956 | + | 0.471331i | ||||
\(9\) | −0.226682 | + | 0.392626i | −0.0755608 | + | 0.130875i | ||||
\(10\) | 1.69601 | + | 2.66900i | 0.536326 | + | 0.844011i | ||||
\(11\) | 1.61069 | + | 2.78980i | 0.485642 | + | 0.841157i | 0.999864 | − | 0.0165005i | \(-0.00525252\pi\) |
−0.514222 | + | 0.857657i | \(0.671919\pi\) | |||||||
\(12\) | 3.51946 | + | 1.19450i | 1.01598 | + | 0.344823i | ||||
\(13\) | − | 0.668981i | − | 0.185542i | −0.995687 | − | 0.0927710i | \(-0.970428\pi\) | ||
0.995687 | − | 0.0927710i | \(-0.0295724\pi\) | |||||||
\(14\) | 3.73215 | + | 0.266614i | 0.997458 | + | 0.0712556i | ||||
\(15\) | 2.77007 | + | 3.09734i | 0.715230 | + | 0.799730i | ||||
\(16\) | 0.521713 | − | 3.96583i | 0.130428 | − | 0.991458i | ||||
\(17\) | 1.62295 | + | 2.81103i | 0.393624 | + | 0.681776i | 0.992924 | − | 0.118748i | \(-0.0378880\pi\) |
−0.599301 | + | 0.800524i | \(0.704555\pi\) | |||||||
\(18\) | 0.632594 | + | 0.104426i | 0.149104 | + | 0.0246134i | ||||
\(19\) | −5.77054 | − | 3.33162i | −1.32385 | − | 0.764326i | −0.339511 | − | 0.940602i | \(-0.610262\pi\) |
−0.984341 | + | 0.176276i | \(0.943595\pi\) | |||||||
\(20\) | 2.68764 | − | 3.57444i | 0.600974 | − | 0.799269i | ||||
\(21\) | 4.89574 | − | 0.453085i | 1.06834 | − | 0.0988712i | ||||
\(22\) | 2.89004 | − | 3.52170i | 0.616158 | − | 0.750828i | ||||
\(23\) | −4.41240 | + | 7.64251i | −0.920050 | + | 1.59357i | −0.120715 | + | 0.992687i | \(0.538519\pi\) |
−0.799335 | + | 0.600886i | \(0.794815\pi\) | |||||||
\(24\) | −0.172365 | − | 5.25330i | −0.0351838 | − | 1.07233i | ||||
\(25\) | 4.58129 | − | 2.00294i | 0.916258 | − | 0.400589i | ||||
\(26\) | −0.885435 | + | 0.333279i | −0.173648 | + | 0.0653614i | ||||
\(27\) | −4.73247 | −0.910764 | ||||||||
\(28\) | −1.50644 | − | 5.07254i | −0.284690 | − | 0.958620i | ||||
\(29\) | 3.17360i | 0.589322i | 0.955602 | + | 0.294661i | \(0.0952068\pi\) | ||||
−0.955602 | + | 0.294661i | \(0.904793\pi\) | |||||||
\(30\) | 2.71949 | − | 5.20942i | 0.496509 | − | 0.951105i | ||||
\(31\) | 2.58684 | + | 4.48053i | 0.464609 | + | 0.804727i | 0.999184 | − | 0.0403943i | \(-0.0128614\pi\) |
−0.534574 | + | 0.845121i | \(0.679528\pi\) | |||||||
\(32\) | −5.50892 | + | 1.28522i | −0.973849 | + | 0.227196i | ||||
\(33\) | 2.99319 | − | 5.18435i | 0.521047 | − | 0.902480i | ||||
\(34\) | 2.91203 | − | 3.54850i | 0.499409 | − | 0.608562i | ||||
\(35\) | 1.32127 | − | 5.76665i | 0.223336 | − | 0.974742i | ||||
\(36\) | −0.176938 | − | 0.889299i | −0.0294897 | − | 0.148216i | ||||
\(37\) | 1.15890 | − | 2.00727i | 0.190522 | − | 0.329994i | −0.754901 | − | 0.655838i | \(-0.772315\pi\) |
0.945423 | + | 0.325845i | \(0.105649\pi\) | |||||||
\(38\) | −1.53477 | + | 9.29742i | −0.248973 | + | 1.50824i | ||||
\(39\) | −1.07663 | + | 0.621591i | −0.172398 | + | 0.0995343i | ||||
\(40\) | −6.06993 | − | 1.77650i | −0.959740 | − | 0.280889i | ||||
\(41\) | 9.34903i | 1.46007i | 0.683408 | + | 0.730036i | \(0.260497\pi\) | ||||
−0.683408 | + | 0.730036i | \(0.739503\pi\) | |||||||
\(42\) | −3.03869 | − | 6.25408i | −0.468880 | − | 0.965025i | ||||
\(43\) | 6.84531i | 1.04390i | 0.852976 | + | 0.521950i | \(0.174795\pi\) | ||||
−0.852976 | + | 0.521950i | \(0.825205\pi\) | |||||||
\(44\) | −6.10096 | − | 2.07066i | −0.919754 | − | 0.312164i | ||||
\(45\) | 0.316505 | − | 0.963080i | 0.0471818 | − | 0.143568i | ||||
\(46\) | 12.3135 | + | 2.03266i | 1.81553 | + | 0.299699i | ||||
\(47\) | −3.12812 | − | 1.80602i | −0.456284 | − | 0.263436i | 0.254197 | − | 0.967153i | \(-0.418189\pi\) |
−0.710480 | + | 0.703717i | \(0.751522\pi\) | |||||||
\(48\) | −6.86719 | + | 2.84528i | −0.991193 | + | 0.410680i | ||||
\(49\) | −4.55310 | − | 5.31689i | −0.650442 | − | 0.759556i | ||||
\(50\) | −4.93336 | − | 5.06576i | −0.697683 | − | 0.716407i | ||||
\(51\) | 3.01597 | − | 5.22381i | 0.422320 | − | 0.731480i | ||||
\(52\) | 0.882229 | + | 1.00589i | 0.122343 | + | 0.139492i | ||||
\(53\) | −0.0130049 | − | 0.0225252i | −0.00178637 | − | 0.00309408i | 0.865131 | − | 0.501546i | \(-0.167235\pi\) |
−0.866917 | + | 0.498452i | \(0.833902\pi\) | |||||||
\(54\) | 2.35767 | + | 6.26370i | 0.320838 | + | 0.852382i | ||||
\(55\) | −4.80189 | − | 5.36921i | −0.647487 | − | 0.723984i | ||||
\(56\) | −5.96331 | + | 4.52094i | −0.796881 | + | 0.604136i | ||||
\(57\) | 12.3825i | 1.64010i | ||||||||
\(58\) | 4.20044 | − | 1.58105i | 0.551545 | − | 0.207602i | ||||
\(59\) | 0.0160236 | − | 0.00925120i | 0.00208609 | − | 0.00120440i | −0.498957 | − | 0.866627i | \(-0.666283\pi\) |
0.501043 | + | 0.865423i | \(0.332950\pi\) | |||||||
\(60\) | −8.24979 | − | 1.00413i | −1.06504 | − | 0.129633i | ||||
\(61\) | −0.897835 | + | 1.55510i | −0.114956 | + | 0.199110i | −0.917762 | − | 0.397130i | \(-0.870006\pi\) |
0.802806 | + | 0.596240i | \(0.203339\pi\) | |||||||
\(62\) | 4.64151 | − | 5.65598i | 0.589473 | − | 0.718310i | ||||
\(63\) | −0.692921 | − | 0.979101i | −0.0872998 | − | 0.123355i | ||||
\(64\) | 4.44555 | + | 6.65110i | 0.555693 | + | 0.831387i | ||||
\(65\) | 0.306094 | + | 1.46423i | 0.0379663 | + | 0.181616i | ||||
\(66\) | −8.35297 | − | 1.37887i | −1.02818 | − | 0.169727i | ||||
\(67\) | −4.14522 | + | 2.39324i | −0.506419 | + | 0.292381i | −0.731360 | − | 0.681991i | \(-0.761114\pi\) |
0.224942 | + | 0.974372i | \(0.427781\pi\) | |||||||
\(68\) | −6.14739 | − | 2.08642i | −0.745480 | − | 0.253015i | ||||
\(69\) | 16.3993 | 1.97425 | ||||||||
\(70\) | −8.29074 | + | 1.12410i | −0.990933 | + | 0.134356i | ||||
\(71\) | − | 8.13591i | − | 0.965555i | −0.875743 | − | 0.482778i | \(-0.839628\pi\) | ||
0.875743 | − | 0.482778i | \(-0.160372\pi\) | |||||||
\(72\) | −1.08889 | + | 0.677227i | −0.128327 | + | 0.0798120i | ||||
\(73\) | −6.30342 | − | 10.9178i | −0.737760 | − | 1.27784i | −0.953502 | − | 0.301387i | \(-0.902550\pi\) |
0.215742 | − | 0.976450i | \(-0.430783\pi\) | |||||||
\(74\) | −3.23410 | − | 0.533869i | −0.375956 | − | 0.0620611i | ||||
\(75\) | −7.48021 | − | 5.51186i | −0.863740 | − | 0.636455i | ||||
\(76\) | 13.0703 | − | 2.60051i | 1.49926 | − | 0.298299i | ||||
\(77\) | −8.48672 | + | 0.785418i | −0.967151 | + | 0.0895067i | ||||
\(78\) | 1.35908 | + | 1.11531i | 0.153885 | + | 0.126284i | ||||
\(79\) | −13.5306 | − | 7.81192i | −1.52232 | − | 0.878910i | −0.999652 | − | 0.0263718i | \(-0.991605\pi\) |
−0.522665 | − | 0.852538i | \(-0.675062\pi\) | |||||||
\(80\) | 0.672676 | + | 8.91894i | 0.0752075 | + | 0.997168i | ||||
\(81\) | 5.07728 | + | 8.79410i | 0.564142 | + | 0.977123i | ||||
\(82\) | 12.3740 | − | 4.65759i | 1.36648 | − | 0.514344i | ||||
\(83\) | −6.60312 | −0.724787 | −0.362393 | − | 0.932025i | \(-0.618040\pi\) | ||||
−0.362393 | + | 0.932025i | \(0.618040\pi\) | |||||||
\(84\) | −6.76379 | + | 7.13760i | −0.737990 | + | 0.778776i | ||||
\(85\) | −4.83844 | − | 5.41008i | −0.524802 | − | 0.586805i | ||||
\(86\) | 9.06016 | − | 3.41026i | 0.976983 | − | 0.367738i | ||||
\(87\) | 5.10745 | − | 2.94879i | 0.547576 | − | 0.316143i | ||||
\(88\) | 0.298792 | + | 9.10655i | 0.0318514 | + | 0.970762i | ||||
\(89\) | −1.31681 | − | 0.760263i | −0.139582 | − | 0.0805877i | 0.428583 | − | 0.903503i | \(-0.359013\pi\) |
−0.568165 | + | 0.822915i | \(0.692346\pi\) | |||||||
\(90\) | −1.43237 | + | 0.0608833i | −0.150985 | + | 0.00641766i | ||||
\(91\) | 1.60786 | + | 0.739958i | 0.168549 | + | 0.0775687i | ||||
\(92\) | −3.44412 | − | 17.3103i | −0.359075 | − | 1.80473i | ||||
\(93\) | 4.80718 | − | 8.32628i | 0.498481 | − | 0.863395i | ||||
\(94\) | −0.831979 | + | 5.04000i | −0.0858121 | + | 0.519836i | ||||
\(95\) | 14.1547 | + | 4.65177i | 1.45224 | + | 0.477262i | ||||
\(96\) | 7.18705 | + | 7.67164i | 0.733525 | + | 0.782983i | ||||
\(97\) | 12.1700 | 1.23568 | 0.617839 | − | 0.786305i | \(-0.288008\pi\) | ||||
0.617839 | + | 0.786305i | \(0.288008\pi\) | |||||||
\(98\) | −4.76891 | + | 8.67511i | −0.481733 | + | 0.876318i | ||||
\(99\) | −1.46046 | −0.146782 | ||||||||
\(100\) | −4.24708 | + | 9.05330i | −0.424708 | + | 0.905330i | ||||
\(101\) | −7.06658 | − | 12.2397i | −0.703151 | − | 1.21789i | −0.967355 | − | 0.253426i | \(-0.918443\pi\) |
0.264204 | − | 0.964467i | \(-0.414891\pi\) | |||||||
\(102\) | −8.41654 | − | 1.38936i | −0.833362 | − | 0.137567i | ||||
\(103\) | −0.433570 | − | 0.250322i | −0.0427209 | − | 0.0246649i | 0.478487 | − | 0.878094i | \(-0.341185\pi\) |
−0.521208 | + | 0.853429i | \(0.674519\pi\) | |||||||
\(104\) | 0.891836 | − | 1.66881i | 0.0874517 | − | 0.163640i | ||||
\(105\) | −10.5083 | + | 3.23175i | −1.02550 | + | 0.315387i | ||||
\(106\) | −0.0233345 | + | 0.0284346i | −0.00226645 | + | 0.00276181i | ||||
\(107\) | 16.0652 | + | 9.27527i | 1.55309 | + | 0.896674i | 0.997888 | + | 0.0649558i | \(0.0206907\pi\) |
0.555197 | + | 0.831719i | \(0.312643\pi\) | |||||||
\(108\) | 7.11581 | − | 6.24102i | 0.684719 | − | 0.600543i | ||||
\(109\) | −3.92950 | + | 2.26870i | −0.376378 | + | 0.217302i | −0.676241 | − | 0.736680i | \(-0.736392\pi\) |
0.299863 | + | 0.953982i | \(0.403059\pi\) | |||||||
\(110\) | −4.71421 | + | 9.03047i | −0.449483 | + | 0.861022i | ||||
\(111\) | −4.30722 | −0.408823 | ||||||||
\(112\) | 8.95459 | + | 5.64051i | 0.846129 | + | 0.532978i | ||||
\(113\) | 6.94668i | 0.653489i | 0.945113 | + | 0.326744i | \(0.105952\pi\) | ||||
−0.945113 | + | 0.326744i | \(0.894048\pi\) | |||||||
\(114\) | 16.3889 | − | 6.16881i | 1.53496 | − | 0.577762i | ||||
\(115\) | 6.16081 | − | 18.7465i | 0.574499 | − | 1.74812i | ||||
\(116\) | −4.18523 | − | 4.77187i | −0.388589 | − | 0.443057i | ||||
\(117\) | 0.262659 | + | 0.151646i | 0.0242828 | + | 0.0140197i | ||||
\(118\) | −0.0202273 | − | 0.0165993i | −0.00186207 | − | 0.00152809i | ||||
\(119\) | −8.55131 | + | 0.791396i | −0.783897 | + | 0.0725471i | ||||
\(120\) | 2.78093 | + | 11.4193i | 0.253863 | + | 1.04244i | ||||
\(121\) | 0.311339 | − | 0.539255i | 0.0283036 | − | 0.0490232i | ||||
\(122\) | 2.50555 | + | 0.413605i | 0.226842 | + | 0.0374460i | ||||
\(123\) | 15.0459 | − | 8.68675i | 1.35664 | − | 0.783258i | ||||
\(124\) | −9.79838 | − | 3.32556i | −0.879920 | − | 0.298644i | ||||
\(125\) | −9.11086 | + | 6.48013i | −0.814901 | + | 0.579601i | ||||
\(126\) | −0.950692 | + | 1.40490i | −0.0846943 | + | 0.125158i | ||||
\(127\) | 5.54642 | 0.492166 | 0.246083 | − | 0.969249i | \(-0.420856\pi\) | ||||
0.246083 | + | 0.969249i | \(0.420856\pi\) | |||||||
\(128\) | 6.58839 | − | 9.19745i | 0.582337 | − | 0.812947i | ||||
\(129\) | 11.0165 | − | 6.36040i | 0.969951 | − | 0.560002i | ||||
\(130\) | 1.78551 | − | 1.13460i | 0.156599 | − | 0.0995110i | ||||
\(131\) | 1.39758 | + | 0.806895i | 0.122107 | + | 0.0704987i | 0.559810 | − | 0.828621i | \(-0.310874\pi\) |
−0.437702 | + | 0.899120i | \(0.644208\pi\) | |||||||
\(132\) | 2.33635 | + | 11.7426i | 0.203353 | + | 1.02206i | ||||
\(133\) | 14.3901 | − | 10.1841i | 1.24778 | − | 0.883071i | ||||
\(134\) | 5.23270 | + | 4.29415i | 0.452036 | + | 0.370958i | ||||
\(135\) | 10.3582 | − | 2.16536i | 0.891493 | − | 0.186364i | ||||
\(136\) | 0.301066 | + | 9.17586i | 0.0258162 | + | 0.786824i | ||||
\(137\) | −7.25548 | + | 4.18895i | −0.619877 | + | 0.357886i | −0.776821 | − | 0.629721i | \(-0.783169\pi\) |
0.156944 | + | 0.987607i | \(0.449836\pi\) | |||||||
\(138\) | −8.16998 | − | 21.7055i | −0.695475 | − | 1.84769i | ||||
\(139\) | 10.1284i | 0.859077i | 0.903048 | + | 0.429539i | \(0.141324\pi\) | ||||
−0.903048 | + | 0.429539i | \(0.858676\pi\) | |||||||
\(140\) | 5.61818 | + | 10.4133i | 0.474823 | + | 0.880082i | ||||
\(141\) | 6.71235i | 0.565282i | ||||||||
\(142\) | −10.7684 | + | 4.05323i | −0.903660 | + | 0.340139i | ||||
\(143\) | 1.86632 | − | 1.07752i | 0.156070 | − | 0.0901070i | ||||
\(144\) | 1.43882 | + | 1.10382i | 0.119902 | + | 0.0919852i | ||||
\(145\) | −1.45209 | − | 6.94623i | −0.120590 | − | 0.576853i | ||||
\(146\) | −11.3101 | + | 13.7821i | −0.936031 | + | 1.14061i | ||||
\(147\) | −4.32620 | + | 12.2678i | −0.356819 | + | 1.01183i | ||||
\(148\) | 0.904585 | + | 4.54648i | 0.0743564 | + | 0.373719i | ||||
\(149\) | 2.14985 | + | 1.24122i | 0.176123 | + | 0.101684i | 0.585470 | − | 0.810694i | \(-0.300910\pi\) |
−0.409347 | + | 0.912379i | \(0.634243\pi\) | |||||||
\(150\) | −3.56872 | + | 12.6464i | −0.291384 | + | 1.03258i | ||||
\(151\) | 2.38942 | − | 1.37954i | 0.194449 | − | 0.112265i | −0.399615 | − | 0.916683i | \(-0.630856\pi\) |
0.594063 | + | 0.804418i | \(0.297523\pi\) | |||||||
\(152\) | −9.95341 | − | 16.0037i | −0.807328 | − | 1.29807i | ||||
\(153\) | −1.47158 | −0.118970 | ||||||||
\(154\) | 5.26754 | + | 10.8414i | 0.424470 | + | 0.873623i | ||||
\(155\) | −7.71203 | − | 8.62317i | −0.619445 | − | 0.692629i | ||||
\(156\) | 0.799100 | − | 2.35445i | 0.0639792 | − | 0.188507i | ||||
\(157\) | 4.55831 | − | 2.63174i | 0.363793 | − | 0.210036i | −0.306951 | − | 0.951725i | \(-0.599309\pi\) |
0.670743 | + | 0.741690i | \(0.265975\pi\) | |||||||
\(158\) | −3.59871 | + | 21.8004i | −0.286298 | + | 1.73435i | ||||
\(159\) | −0.0241674 | + | 0.0418591i | −0.00191660 | + | 0.00331964i | ||||
\(160\) | 11.4696 | − | 5.33365i | 0.906753 | − | 0.421662i | ||||
\(161\) | −13.4878 | − | 19.0583i | −1.06299 | − | 1.50201i | ||||
\(162\) | 9.11006 | − | 11.1012i | 0.715754 | − | 0.872193i | ||||
\(163\) | 3.72563 | + | 2.15099i | 0.291814 | + | 0.168479i | 0.638760 | − | 0.769406i | \(-0.279448\pi\) |
−0.346946 | + | 0.937885i | \(0.612781\pi\) | |||||||
\(164\) | −12.3292 | − | 14.0573i | −0.962747 | − | 1.09769i | ||||
\(165\) | −4.17923 | + | 12.7168i | −0.325353 | + | 0.990003i | ||||
\(166\) | 3.28961 | + | 8.73962i | 0.255323 | + | 0.678326i | ||||
\(167\) | 3.88102i | 0.300322i | 0.988662 | + | 0.150161i | \(0.0479792\pi\) | ||||
−0.988662 | + | 0.150161i | \(0.952021\pi\) | |||||||
\(168\) | 12.8167 | + | 5.39640i | 0.988828 | + | 0.416341i | ||||
\(169\) | 12.5525 | 0.965574 | ||||||||
\(170\) | −4.75009 | + | 9.09920i | −0.364316 | + | 0.697877i | ||||
\(171\) | 2.61616 | − | 1.51044i | 0.200063 | − | 0.115506i | ||||
\(172\) | −9.02736 | − | 10.2927i | −0.688329 | − | 0.784811i | ||||
\(173\) | 14.3964 | + | 8.31178i | 1.09454 | + | 0.631933i | 0.934781 | − | 0.355223i | \(-0.115595\pi\) |
0.159758 | + | 0.987156i | \(0.448929\pi\) | |||||||
\(174\) | −6.44737 | − | 5.29095i | −0.488774 | − | 0.401106i | ||||
\(175\) | −0.253390 | + | 13.2263i | −0.0191545 | + | 0.999817i | ||||
\(176\) | 11.9042 | − | 4.93226i | 0.897313 | − | 0.371783i | ||||
\(177\) | −0.0297769 | − | 0.0171917i | −0.00223817 | − | 0.00129221i | ||||
\(178\) | −0.350229 | + | 2.12163i | −0.0262508 | + | 0.159023i | ||||
\(179\) | 7.95928 | + | 13.7859i | 0.594905 | + | 1.03040i | 0.993560 | + | 0.113304i | \(0.0361435\pi\) |
−0.398656 | + | 0.917101i | \(0.630523\pi\) | |||||||
\(180\) | 0.794175 | + | 1.86550i | 0.0591943 | + | 0.139046i | ||||
\(181\) | −7.50289 | −0.557685 | −0.278843 | − | 0.960337i | \(-0.589951\pi\) | ||||
−0.278843 | + | 0.960337i | \(0.589951\pi\) | |||||||
\(182\) | 0.178360 | − | 2.49673i | 0.0132209 | − | 0.185070i | ||||
\(183\) | 3.33693 | 0.246673 | ||||||||
\(184\) | −21.1954 | + | 13.1823i | −1.56254 | + | 0.971813i | ||||
\(185\) | −1.61811 | + | 4.92369i | −0.118966 | + | 0.361997i | ||||
\(186\) | −13.4152 | − | 2.21452i | −0.983650 | − | 0.162376i | ||||
\(187\) | −5.22815 | + | 9.05542i | −0.382320 | + | 0.662198i | ||||
\(188\) | 7.08522 | − | 1.40970i | 0.516742 | − | 0.102813i | ||||
\(189\) | 5.23458 | − | 11.3742i | 0.380759 | − | 0.827354i | ||||
\(190\) | −0.894820 | − | 21.0520i | −0.0649171 | − | 1.52727i | ||||
\(191\) | 12.2310 | + | 7.06156i | 0.885002 | + | 0.510956i | 0.872304 | − | 0.488963i | \(-0.162625\pi\) |
0.0126977 | + | 0.999919i | \(0.495958\pi\) | |||||||
\(192\) | 6.57335 | − | 13.3344i | 0.474391 | − | 0.962328i | ||||
\(193\) | 7.10077 | − | 4.09963i | 0.511124 | − | 0.295098i | −0.222171 | − | 0.975008i | \(-0.571314\pi\) |
0.733296 | + | 0.679910i | \(0.237981\pi\) | |||||||
\(194\) | −6.06297 | − | 16.1077i | −0.435296 | − | 1.15647i | ||||
\(195\) | 2.07206 | − | 1.85313i | 0.148383 | − | 0.132705i | ||||
\(196\) | 13.8578 | + | 1.99009i | 0.989845 | + | 0.142149i | ||||
\(197\) | −6.63166 | −0.472486 | −0.236243 | − | 0.971694i | \(-0.575916\pi\) | ||||
−0.236243 | + | 0.971694i | \(0.575916\pi\) | |||||||
\(198\) | 0.727587 | + | 1.93301i | 0.0517074 | + | 0.137373i | ||||
\(199\) | 1.78141 | + | 3.08549i | 0.126281 | + | 0.218725i | 0.922233 | − | 0.386635i | \(-0.126363\pi\) |
−0.795952 | + | 0.605360i | \(0.793029\pi\) | |||||||
\(200\) | 14.0984 | + | 1.11100i | 0.996909 | + | 0.0785596i | ||||
\(201\) | 7.70315 | + | 4.44742i | 0.543338 | + | 0.313697i | ||||
\(202\) | −12.6794 | + | 15.4507i | −0.892121 | + | 1.08711i | ||||
\(203\) | −7.62757 | − | 3.51031i | −0.535350 | − | 0.246375i | ||||
\(204\) | 2.35413 | + | 11.8320i | 0.164822 | + | 0.828402i | ||||
\(205\) | −4.27768 | − | 20.4627i | −0.298766 | − | 1.42918i | ||||
\(206\) | −0.115316 | + | 0.698563i | −0.00803441 | + | 0.0486712i | ||||
\(207\) | −2.00043 | − | 3.46485i | −0.139039 | − | 0.240823i | ||||
\(208\) | −2.65307 | − | 0.349016i | −0.183957 | − | 0.0241999i | ||||
\(209\) | − | 21.4649i | − | 1.48476i | ||||||
\(210\) | 9.51252 | + | 12.2983i | 0.656426 | + | 0.848661i | ||||
\(211\) | −13.5590 | −0.933438 | −0.466719 | − | 0.884406i | \(-0.654564\pi\) | ||||
−0.466719 | + | 0.884406i | \(0.654564\pi\) | |||||||
\(212\) | 0.0492599 | + | 0.0167188i | 0.00338318 | + | 0.00114825i | ||||
\(213\) | −13.0936 | + | 7.55958i | −0.897157 | + | 0.517974i | ||||
\(214\) | 4.27283 | − | 25.8841i | 0.292085 | − | 1.76940i | ||||
\(215\) | −3.13209 | − | 14.9827i | −0.213607 | − | 1.02181i | ||||
\(216\) | −11.8054 | − | 6.30898i | −0.803254 | − | 0.429272i | ||||
\(217\) | −13.6300 | + | 1.26141i | −0.925265 | + | 0.0856303i | ||||
\(218\) | 4.96039 | + | 4.07068i | 0.335960 | + | 0.275702i | ||||
\(219\) | −11.7138 | + | 20.2889i | −0.791545 | + | 1.37100i | ||||
\(220\) | 14.3009 | + | 1.74065i | 0.964168 | + | 0.117355i | ||||
\(221\) | 1.88053 | − | 1.08572i | 0.126498 | − | 0.0730337i | ||||
\(222\) | 2.14581 | + | 5.70086i | 0.144017 | + | 0.382617i | ||||
\(223\) | − | 17.5244i | − | 1.17352i | −0.809760 | − | 0.586761i | \(-0.800403\pi\) | ||
0.809760 | − | 0.586761i | \(-0.199597\pi\) | |||||||
\(224\) | 3.00446 | − | 14.6620i | 0.200744 | − | 0.979644i | ||||
\(225\) | −0.252091 | + | 2.25276i | −0.0168061 | + | 0.150184i | ||||
\(226\) | 9.19434 | − | 3.46076i | 0.611598 | − | 0.230207i | ||||
\(227\) | −5.47563 | − | 9.48408i | −0.363431 | − | 0.629480i | 0.625092 | − | 0.780551i | \(-0.285061\pi\) |
−0.988523 | + | 0.151071i | \(0.951728\pi\) | |||||||
\(228\) | −16.3296 | − | 18.6184i | −1.08145 | − | 1.23304i | ||||
\(229\) | −9.35182 | + | 16.1978i | −0.617985 | + | 1.07038i | 0.371867 | + | 0.928286i | \(0.378718\pi\) |
−0.989853 | + | 0.142096i | \(0.954616\pi\) | |||||||
\(230\) | −27.8813 | + | 1.18510i | −1.83844 | + | 0.0781433i | ||||
\(231\) | 9.14955 | + | 12.9284i | 0.601996 | + | 0.850624i | ||||
\(232\) | −4.23081 | + | 7.91670i | −0.277766 | + | 0.519757i | ||||
\(233\) | −3.70368 | − | 2.13832i | −0.242636 | − | 0.140086i | 0.373752 | − | 0.927529i | \(-0.378071\pi\) |
−0.616388 | + | 0.787443i | \(0.711405\pi\) | |||||||
\(234\) | 0.0698587 | − | 0.423193i | 0.00456681 | − | 0.0276650i | ||||
\(235\) | 7.67305 | + | 2.52166i | 0.500534 | + | 0.164495i | ||||
\(236\) | −0.0118931 | + | 0.0350416i | −0.000774173 | + | 0.00228101i | ||||
\(237\) | 29.0342i | 1.88597i | ||||||||
\(238\) | 5.30763 | + | 10.9239i | 0.344043 | + | 0.708091i | ||||
\(239\) | − | 25.1064i | − | 1.62400i | −0.583658 | − | 0.812000i | \(-0.698379\pi\) | ||
0.583658 | − | 0.812000i | \(-0.301621\pi\) | |||||||
\(240\) | 13.7287 | − | 9.36971i | 0.886185 | − | 0.604812i | ||||
\(241\) | 1.69808 | − | 0.980389i | 0.109383 | − | 0.0631524i | −0.444310 | − | 0.895873i | \(-0.646551\pi\) |
0.553694 | + | 0.832721i | \(0.313218\pi\) | |||||||
\(242\) | −0.868842 | − | 0.143424i | −0.0558513 | − | 0.00921967i | ||||
\(243\) | 2.33652 | − | 4.04696i | 0.149888 | − | 0.259613i | ||||
\(244\) | −0.700809 | − | 3.52230i | −0.0448647 | − | 0.225492i | ||||
\(245\) | 12.3984 | + | 9.55408i | 0.792103 | + | 0.610388i | ||||
\(246\) | −18.9931 | − | 15.5865i | −1.21096 | − | 0.993758i | ||||
\(247\) | −2.22879 | + | 3.86038i | −0.141815 | + | 0.245630i | ||||
\(248\) | 0.479872 | + | 14.6255i | 0.0304719 | + | 0.928719i | ||||
\(249\) | 6.13537 | + | 10.6268i | 0.388813 | + | 0.673444i | ||||
\(250\) | 13.1158 | + | 8.83043i | 0.829514 | + | 0.558485i | ||||
\(251\) | 10.2716i | 0.648336i | 0.945999 | + | 0.324168i | \(0.105084\pi\) | ||||
−0.945999 | + | 0.324168i | \(0.894916\pi\) | |||||||
\(252\) | 2.33309 | + | 0.558390i | 0.146971 | + | 0.0351753i | ||||
\(253\) | −28.4281 | −1.78726 | ||||||||
\(254\) | −2.76317 | − | 7.34102i | −0.173377 | − | 0.460616i | ||||
\(255\) | −4.21104 | + | 12.8136i | −0.263706 | + | 0.802419i | ||||
\(256\) | −15.4556 | − | 4.13806i | −0.965977 | − | 0.258628i | ||||
\(257\) | −4.42809 | + | 7.66968i | −0.276217 | + | 0.478422i | −0.970441 | − | 0.241337i | \(-0.922414\pi\) |
0.694225 | + | 0.719759i | \(0.255747\pi\) | |||||||
\(258\) | −13.9067 | − | 11.4123i | −0.865792 | − | 0.710501i | ||||
\(259\) | 3.54252 | + | 5.00559i | 0.220121 | + | 0.311032i | ||||
\(260\) | −2.39123 | − | 1.79798i | −0.148298 | − | 0.111506i | ||||
\(261\) | −1.24604 | − | 0.719399i | −0.0771277 | − | 0.0445297i | ||||
\(262\) | 0.371712 | − | 2.25177i | 0.0229644 | − | 0.139115i | ||||
\(263\) | −6.21178 | − | 10.7591i | −0.383035 | − | 0.663436i | 0.608459 | − | 0.793585i | \(-0.291788\pi\) |
−0.991494 | + | 0.130149i | \(0.958454\pi\) | |||||||
\(264\) | 14.3780 | − | 8.94232i | 0.884908 | − | 0.550362i | ||||
\(265\) | 0.0387711 | + | 0.0433517i | 0.00238169 | + | 0.00266307i | ||||
\(266\) | −20.6482 | − | 13.9726i | −1.26602 | − | 0.856715i | ||||
\(267\) | 2.82563i | 0.172926i | ||||||||
\(268\) | 3.07668 | − | 9.06508i | 0.187938 | − | 0.553738i | ||||
\(269\) | 13.6032 | + | 23.5615i | 0.829403 | + | 1.43657i | 0.898507 | + | 0.438959i | \(0.144653\pi\) |
−0.0691035 | + | 0.997609i | \(0.522014\pi\) | |||||||
\(270\) | −8.02633 | − | 12.6309i | −0.488467 | − | 0.768695i | ||||
\(271\) | 5.19784 | − | 9.00292i | 0.315746 | − | 0.546889i | −0.663850 | − | 0.747866i | \(-0.731078\pi\) |
0.979596 | + | 0.200978i | \(0.0644118\pi\) | |||||||
\(272\) | 11.9948 | − | 4.96980i | 0.727292 | − | 0.301338i | ||||
\(273\) | −0.303105 | − | 3.27516i | −0.0183448 | − | 0.198221i | ||||
\(274\) | 9.15892 | + | 7.51616i | 0.553311 | + | 0.454068i | ||||
\(275\) | 12.9669 | + | 9.55476i | 0.781931 | + | 0.576174i | ||||
\(276\) | −24.6583 | + | 21.6269i | −1.48425 | + | 1.30179i | ||||
\(277\) | −10.2142 | − | 17.6915i | −0.613711 | − | 1.06298i | −0.990609 | − | 0.136724i | \(-0.956343\pi\) |
0.376898 | − | 0.926255i | \(-0.376991\pi\) | |||||||
\(278\) | 13.4055 | − | 5.04585i | 0.804008 | − | 0.302630i | ||||
\(279\) | −2.34556 | −0.140425 | ||||||||
\(280\) | 10.9837 | − | 12.6238i | 0.656399 | − | 0.754414i | ||||
\(281\) | −31.1658 | −1.85919 | −0.929597 | − | 0.368578i | \(-0.879845\pi\) | ||||
−0.929597 | + | 0.368578i | \(0.879845\pi\) | |||||||
\(282\) | 8.88419 | − | 3.34402i | 0.529046 | − | 0.199134i | ||||
\(283\) | 7.09232 | + | 12.2843i | 0.421594 | + | 0.730223i | 0.996096 | − | 0.0882807i | \(-0.0281373\pi\) |
−0.574501 | + | 0.818504i | \(0.694804\pi\) | |||||||
\(284\) | 10.7294 | + | 12.2333i | 0.636671 | + | 0.725911i | ||||
\(285\) | −5.66563 | − | 27.1021i | −0.335603 | − | 1.60539i | ||||
\(286\) | −2.35595 | − | 1.93338i | −0.139310 | − | 0.114323i | ||||
\(287\) | −22.4699 | − | 10.3409i | −1.32635 | − | 0.610406i | ||||
\(288\) | 0.744167 | − | 2.45428i | 0.0438505 | − | 0.144620i | ||||
\(289\) | 3.23206 | − | 5.59809i | 0.190121 | − | 0.329299i | ||||
\(290\) | −8.47032 | + | 5.38246i | −0.497394 | + | 0.316069i | ||||
\(291\) | −11.3079 | − | 19.5859i | −0.662881 | − | 1.14814i | ||||
\(292\) | 23.8760 | + | 8.10349i | 1.39724 | + | 0.474221i | ||||
\(293\) | 13.3400i | 0.779333i | 0.920956 | + | 0.389666i | \(0.127410\pi\) | ||||
−0.920956 | + | 0.389666i | \(0.872590\pi\) | |||||||
\(294\) | 18.3924 | − | 0.385706i | 1.07267 | − | 0.0224948i | ||||
\(295\) | −0.0308387 | + | 0.0275802i | −0.00179550 | + | 0.00160578i | ||||
\(296\) | 5.56688 | − | 3.46228i | 0.323568 | − | 0.201241i | ||||
\(297\) | −7.62256 | − | 13.2027i | −0.442306 | − | 0.766096i | ||||
\(298\) | 0.571791 | − | 3.46382i | 0.0331229 | − | 0.200653i | ||||
\(299\) | 5.11269 | + | 2.95181i | 0.295675 | + | 0.170708i | ||||
\(300\) | 18.5162 | − | 1.57692i | 1.06903 | − | 0.0910435i | ||||
\(301\) | −16.4523 | − | 7.57158i | −0.948296 | − | 0.436418i | ||||
\(302\) | −3.01628 | − | 2.47527i | −0.173568 | − | 0.142436i | ||||
\(303\) | −13.1320 | + | 22.7453i | −0.754413 | + | 1.30668i | ||||
\(304\) | −16.2232 | + | 21.1468i | −0.930465 | + | 1.21285i | ||||
\(305\) | 1.25360 | − | 3.81453i | 0.0717810 | − | 0.218419i | ||||
\(306\) | 0.733125 | + | 1.94772i | 0.0419100 | + | 0.111344i | ||||
\(307\) | 15.5134 | 0.885395 | 0.442697 | − | 0.896671i | \(-0.354022\pi\) | ||||
0.442697 | + | 0.896671i | \(0.354022\pi\) | |||||||
\(308\) | 11.7250 | − | 12.3730i | 0.668092 | − | 0.705015i | ||||
\(309\) | 0.930357i | 0.0529262i | ||||||||
\(310\) | −7.57121 | + | 14.5033i | −0.430016 | + | 0.823732i | ||||
\(311\) | 4.58870 | + | 7.94786i | 0.260201 | + | 0.450682i | 0.966295 | − | 0.257436i | \(-0.0828778\pi\) |
−0.706094 | + | 0.708118i | \(0.749544\pi\) | |||||||
\(312\) | −3.51436 | + | 0.115309i | −0.198961 | + | 0.00652806i | ||||
\(313\) | −16.2088 | + | 28.0744i | −0.916175 | + | 1.58686i | −0.111002 | + | 0.993820i | \(0.535406\pi\) |
−0.805172 | + | 0.593041i | \(0.797927\pi\) | |||||||
\(314\) | −5.75416 | − | 4.72208i | −0.324726 | − | 0.266483i | ||||
\(315\) | 1.96462 | + | 1.82596i | 0.110694 | + | 0.102881i | ||||
\(316\) | 30.6470 | − | 6.09763i | 1.72403 | − | 0.343019i | ||||
\(317\) | 0.205982 | − | 0.356772i | 0.0115691 | − | 0.0200383i | −0.860183 | − | 0.509986i | \(-0.829651\pi\) |
0.871752 | + | 0.489947i | \(0.162984\pi\) | |||||||
\(318\) | 0.0674429 | + | 0.0111332i | 0.00378201 | + | 0.000624317i | ||||
\(319\) | −8.85371 | + | 5.11169i | −0.495713 | + | 0.286200i | ||||
\(320\) | −12.7734 | − | 12.5235i | −0.714057 | − | 0.700088i | ||||
\(321\) | − | 34.4729i | − | 1.92409i | ||||||
\(322\) | −18.5053 | + | 27.3466i | −1.03126 | + | 1.52396i | ||||
\(323\) | − | 21.6282i | − | 1.20343i | ||||||
\(324\) | −19.2316 | − | 6.52720i | −1.06842 | − | 0.362622i | ||||
\(325\) | −1.33993 | − | 3.06480i | −0.0743260 | − | 0.170004i | ||||
\(326\) | 0.990897 | − | 6.00269i | 0.0548807 | − | 0.332458i | ||||
\(327\) | 7.30229 | + | 4.21598i | 0.403817 | + | 0.233144i | ||||
\(328\) | −12.4634 | + | 23.3216i | −0.688178 | + | 1.28772i | ||||
\(329\) | 7.80069 | − | 5.52064i | 0.430066 | − | 0.304363i | ||||
\(330\) | 18.9135 | − | 0.803922i | 1.04115 | − | 0.0442545i | ||||
\(331\) | 14.7269 | − | 25.5078i | 0.809465 | − | 1.40203i | −0.103770 | − | 0.994601i | \(-0.533091\pi\) |
0.913235 | − | 0.407433i | \(-0.133576\pi\) | |||||||
\(332\) | 9.92855 | − | 8.70797i | 0.544900 | − | 0.477912i | ||||
\(333\) | 0.525405 | + | 0.910027i | 0.0287920 | + | 0.0498692i | ||||
\(334\) | 5.13675 | − | 1.93348i | 0.281071 | − | 0.105795i | ||||
\(335\) | 7.97783 | − | 7.13488i | 0.435875 | − | 0.389820i | ||||
\(336\) | 0.757316 | − | 19.6521i | 0.0413150 | − | 1.07211i | ||||
\(337\) | 0.726788i | 0.0395906i | 0.999804 | + | 0.0197953i | \(0.00630146\pi\) | ||||
−0.999804 | + | 0.0197953i | \(0.993699\pi\) | |||||||
\(338\) | −6.25351 | − | 16.6139i | −0.340146 | − | 0.903678i | ||||
\(339\) | 11.1797 | − | 6.45459i | 0.607197 | − | 0.350565i | ||||
\(340\) | 14.4098 | + | 1.75390i | 0.781480 | + | 0.0951186i | ||||
\(341\) | −8.33319 | + | 14.4335i | −0.451268 | + | 0.781619i | ||||
\(342\) | −3.30250 | − | 2.71015i | −0.178579 | − | 0.146548i | ||||
\(343\) | 17.8150 | − | 5.06212i | 0.961921 | − | 0.273329i | ||||
\(344\) | −9.12566 | + | 17.0759i | −0.492023 | + | 0.920673i | ||||
\(345\) | −35.8941 | + | 7.50357i | −1.93248 | + | 0.403979i | ||||
\(346\) | 3.82898 | − | 23.1953i | 0.205847 | − | 1.24699i | ||||
\(347\) | 14.4004 | − | 8.31409i | 0.773056 | − | 0.446324i | −0.0609078 | − | 0.998143i | \(-0.519400\pi\) |
0.833964 | + | 0.551819i | \(0.186066\pi\) | |||||||
\(348\) | −3.79087 | + | 11.1694i | −0.203212 | + | 0.598741i | ||||
\(349\) | 33.3428 | 1.78480 | 0.892401 | − | 0.451244i | \(-0.149020\pi\) | ||||
0.892401 | + | 0.451244i | \(0.149020\pi\) | |||||||
\(350\) | 17.6321 | − | 6.25384i | 0.942473 | − | 0.334282i | ||||
\(351\) | 3.16593i | 0.168985i | ||||||||
\(352\) | −12.4587 | − | 13.2987i | −0.664050 | − | 0.708823i | ||||
\(353\) | −4.25151 | − | 7.36384i | −0.226285 | − | 0.391938i | 0.730419 | − | 0.682999i | \(-0.239325\pi\) |
−0.956704 | + | 0.291062i | \(0.905991\pi\) | |||||||
\(354\) | −0.00791970 | + | 0.0479763i | −0.000420927 | + | 0.00254991i | ||||
\(355\) | 3.72261 | + | 17.8075i | 0.197576 | + | 0.945125i | ||||
\(356\) | 2.98259 | − | 0.593427i | 0.158077 | − | 0.0314515i | ||||
\(357\) | 9.21918 | + | 13.0268i | 0.487931 | + | 0.689449i | ||||
\(358\) | 14.2812 | − | 17.4026i | 0.754784 | − | 0.919754i | ||||
\(359\) | 28.2304 | + | 16.2989i | 1.48995 | + | 0.860220i | 0.999934 | − | 0.0114955i | \(-0.00365922\pi\) |
0.490012 | + | 0.871716i | \(0.336993\pi\) | |||||||
\(360\) | 2.07345 | − | 1.98051i | 0.109280 | − | 0.104382i | ||||
\(361\) | 12.6994 | + | 21.9960i | 0.668389 | + | 1.15768i | ||||
\(362\) | 3.73786 | + | 9.93051i | 0.196458 | + | 0.521936i | ||||
\(363\) | −1.15714 | −0.0607340 | ||||||||
\(364\) | −3.39343 | + | 1.00778i | −0.177864 | + | 0.0528219i | ||||
\(365\) | 18.7921 | + | 21.0123i | 0.983625 | + | 1.09984i | ||||
\(366\) | −1.66243 | − | 4.41663i | −0.0868964 | − | 0.230861i | ||||
\(367\) | 3.02375 | − | 1.74576i | 0.157838 | − | 0.0911280i | −0.419000 | − | 0.907986i | \(-0.637619\pi\) |
0.576839 | + | 0.816858i | \(0.304286\pi\) | |||||||
\(368\) | 28.0069 | + | 21.4860i | 1.45996 | + | 1.12004i | ||||
\(369\) | −3.67067 | − | 2.11926i | −0.191087 | − | 0.110324i | ||||
\(370\) | 7.32292 | − | 0.311262i | 0.380700 | − | 0.0161817i | ||||
\(371\) | 0.0685228 | − | 0.00634157i | 0.00355753 | − | 0.000329238i | ||||
\(372\) | 3.75227 | + | 18.8590i | 0.194546 | + | 0.977796i | ||||
\(373\) | −12.1896 | + | 21.1129i | −0.631151 | + | 1.09319i | 0.356165 | + | 0.934423i | \(0.384084\pi\) |
−0.987317 | + | 0.158763i | \(0.949249\pi\) | |||||||
\(374\) | 14.5900 | + | 2.40845i | 0.754431 | + | 0.124538i | ||||
\(375\) | 18.8943 | + | 8.64152i | 0.975698 | + | 0.446246i | ||||
\(376\) | −5.39560 | − | 8.67540i | −0.278257 | − | 0.447400i | ||||
\(377\) | 2.12308 | 0.109344 | ||||||||
\(378\) | −17.6623 | − | 1.26174i | −0.908449 | − | 0.0648971i | ||||
\(379\) | −33.6902 | −1.73055 | −0.865274 | − | 0.501299i | \(-0.832856\pi\) | ||||
−0.865274 | + | 0.501299i | \(0.832856\pi\) | |||||||
\(380\) | −27.4178 | + | 11.6722i | −1.40650 | + | 0.598773i | ||||
\(381\) | −5.15352 | − | 8.92617i | −0.264023 | − | 0.457301i | ||||
\(382\) | 3.25304 | − | 19.7064i | 0.166440 | − | 1.00827i | ||||
\(383\) | 12.7966 | + | 7.38811i | 0.653875 | + | 0.377515i | 0.789939 | − | 0.613185i | \(-0.210112\pi\) |
−0.136064 | + | 0.990700i | \(0.543445\pi\) | |||||||
\(384\) | −20.9236 | − | 2.05715i | −1.06776 | − | 0.104979i | ||||
\(385\) | 18.2160 | − | 5.60221i | 0.928372 | − | 0.285515i | ||||
\(386\) | −8.96363 | − | 7.35589i | −0.456237 | − | 0.374405i | ||||
\(387\) | −2.68764 | − | 1.55171i | −0.136621 | − | 0.0788779i | ||||
\(388\) | −18.2990 | + | 16.0494i | −0.928992 | + | 0.814785i | ||||
\(389\) | −0.178263 | + | 0.102920i | −0.00903829 | + | 0.00521826i | −0.504512 | − | 0.863404i | \(-0.668328\pi\) |
0.495474 | + | 0.868623i | \(0.334994\pi\) | |||||||
\(390\) | −3.48500 | − | 1.81929i | −0.176470 | − | 0.0921233i | ||||
\(391\) | −28.6445 | −1.44861 | ||||||||
\(392\) | −4.26983 | − | 19.3331i | −0.215659 | − | 0.976469i | ||||
\(393\) | − | 2.99894i | − | 0.151277i | ||||||
\(394\) | 3.30382 | + | 8.77739i | 0.166444 | + | 0.442199i | ||||
\(395\) | 33.1896 | + | 10.9074i | 1.66995 | + | 0.548810i | ||||
\(396\) | 2.19597 | − | 1.92601i | 0.110352 | − | 0.0967856i | ||||
\(397\) | −4.39175 | − | 2.53558i | −0.220416 | − | 0.127257i | 0.385727 | − | 0.922613i | \(-0.373951\pi\) |
−0.606143 | + | 0.795356i | \(0.707284\pi\) | |||||||
\(398\) | 3.19635 | − | 3.89496i | 0.160219 | − | 0.195237i | ||||
\(399\) | −29.7605 | − | 13.6962i | −1.48989 | − | 0.685668i | ||||
\(400\) | −5.55321 | − | 19.2136i | −0.277661 | − | 0.960679i | ||||
\(401\) | −9.62688 | + | 16.6743i | −0.480744 | + | 0.832672i | −0.999756 | − | 0.0220944i | \(-0.992967\pi\) |
0.519012 | + | 0.854767i | \(0.326300\pi\) | |||||||
\(402\) | 2.04879 | − | 12.4112i | 0.102184 | − | 0.619016i | ||||
\(403\) | 2.99739 | − | 1.73054i | 0.149311 | − | 0.0862045i | ||||
\(404\) | 26.7667 | + | 9.08459i | 1.33169 | + | 0.451975i | ||||
\(405\) | −15.1367 | − | 16.9250i | −0.752148 | − | 0.841010i | ||||
\(406\) | −0.846126 | + | 11.8443i | −0.0419925 | + | 0.587824i | ||||
\(407\) | 7.46653 | 0.370102 | ||||||||
\(408\) | 14.4875 | − | 9.01038i | 0.717237 | − | 0.446080i | ||||
\(409\) | −18.9967 | + | 10.9678i | −0.939327 | + | 0.542321i | −0.889749 | − | 0.456450i | \(-0.849121\pi\) |
−0.0495776 | + | 0.998770i | \(0.515788\pi\) | |||||||
\(410\) | −24.9525 | + | 15.8561i | −1.23232 | + | 0.783075i | ||||
\(411\) | 13.4830 | + | 7.78442i | 0.665068 | + | 0.383977i | ||||
\(412\) | 0.982038 | − | 0.195390i | 0.0483815 | − | 0.00962617i | ||||
\(413\) | 0.00451114 | + | 0.0487445i | 0.000221979 | + | 0.00239856i | ||||
\(414\) | −3.58933 | + | 4.37383i | −0.176406 | + | 0.214962i | ||||
\(415\) | 14.4526 | − | 3.02128i | 0.709451 | − | 0.148309i | ||||
\(416\) | 0.859785 | + | 3.68536i | 0.0421545 | + | 0.180690i | ||||
\(417\) | 16.3001 | − | 9.41089i | 0.798222 | − | 0.460853i | ||||
\(418\) | −28.4100 | + | 10.6936i | −1.38958 | + | 0.523039i | ||||
\(419\) | 20.3822i | 0.995734i | 0.867253 | + | 0.497867i | \(0.165883\pi\) | ||||
−0.867253 | + | 0.497867i | \(0.834117\pi\) | |||||||
\(420\) | 11.5384 | − | 18.7172i | 0.563019 | − | 0.913308i | ||||
\(421\) | 21.2887i | 1.03755i | 0.854912 | + | 0.518774i | \(0.173611\pi\) | ||||
−0.854912 | + | 0.518774i | \(0.826389\pi\) | |||||||
\(422\) | 6.75494 | + | 17.9461i | 0.328825 | + | 0.873602i | ||||
\(423\) | 1.41818 | − | 0.818788i | 0.0689544 | − | 0.0398108i | ||||
\(424\) | −0.00241249 | − | 0.0735275i | −0.000117161 | − | 0.00357081i | ||||
\(425\) | 13.0656 | + | 9.62748i | 0.633772 | + | 0.467002i | ||||
\(426\) | 16.5286 | + | 13.5640i | 0.800814 | + | 0.657178i | ||||
\(427\) | −2.74449 | − | 3.87798i | −0.132815 | − | 0.187669i | ||||
\(428\) | −36.3878 | + | 7.23986i | −1.75887 | + | 0.349952i | ||||
\(429\) | −3.46823 | − | 2.00239i | −0.167448 | − | 0.0966761i | ||||
\(430\) | −18.2701 | + | 11.6097i | −0.881062 | + | 0.559871i | ||||
\(431\) | −18.7227 | + | 10.8096i | −0.901842 | + | 0.520679i | −0.877797 | − | 0.479032i | \(-0.840988\pi\) |
−0.0240450 | + | 0.999711i | \(0.507654\pi\) | |||||||
\(432\) | −2.46899 | + | 18.7682i | −0.118790 | + | 0.902984i | ||||
\(433\) | 29.8068 | 1.43243 | 0.716213 | − | 0.697882i | \(-0.245874\pi\) | ||||
0.716213 | + | 0.697882i | \(0.245874\pi\) | |||||||
\(434\) | 8.45988 | + | 17.4117i | 0.406087 | + | 0.835788i | ||||
\(435\) | −9.82972 | + | 8.79110i | −0.471299 | + | 0.421501i | ||||
\(436\) | 2.91657 | − | 8.59334i | 0.139679 | − | 0.411546i | ||||
\(437\) | 50.9239 | − | 29.4009i | 2.43602 | − | 1.40644i | ||||
\(438\) | 32.6892 | + | 5.39618i | 1.56195 | + | 0.257840i | ||||
\(439\) | −14.9755 | + | 25.9383i | −0.714740 | + | 1.23797i | 0.248320 | + | 0.968678i | \(0.420122\pi\) |
−0.963060 | + | 0.269288i | \(0.913212\pi\) | |||||||
\(440\) | −4.82072 | − | 19.7953i | −0.229819 | − | 0.943703i | ||||
\(441\) | 3.11965 | − | 0.582416i | 0.148555 | − | 0.0277341i | ||||
\(442\) | −2.37388 | − | 1.94809i | −0.112914 | − | 0.0926613i | ||||
\(443\) | −32.1133 | − | 18.5406i | −1.52575 | − | 0.880893i | −0.999533 | − | 0.0305429i | \(-0.990276\pi\) |
−0.526218 | − | 0.850350i | \(-0.676390\pi\) | |||||||
\(444\) | 6.47640 | − | 5.68022i | 0.307356 | − | 0.269571i | ||||
\(445\) | 3.23004 | + | 1.06152i | 0.153119 | + | 0.0503207i | ||||
\(446\) | −23.1946 | + | 8.73048i | −1.09830 | + | 0.413400i | ||||
\(447\) | − | 4.61317i | − | 0.218195i | ||||||
\(448\) | −20.9028 | + | 3.32786i | −0.987563 | + | 0.157227i | ||||
\(449\) | 17.1980 | 0.811625 | 0.405813 | − | 0.913956i | \(-0.366989\pi\) | ||||
0.405813 | + | 0.913956i | \(0.366989\pi\) | |||||||
\(450\) | 3.10725 | − | 0.788645i | 0.146477 | − | 0.0371771i | ||||
\(451\) | −26.0819 | + | 15.0584i | −1.22815 | + | 0.709073i | ||||
\(452\) | −9.16105 | − | 10.4451i | −0.430899 | − | 0.491298i | ||||
\(453\) | −4.44032 | − | 2.56362i | −0.208625 | − | 0.120449i | ||||
\(454\) | −9.82483 | + | 11.9722i | −0.461102 | + | 0.561883i | ||||
\(455\) | −3.85778 | − | 0.883906i | −0.180855 | − | 0.0414381i | ||||
\(456\) | −16.5074 | + | 30.8886i | −0.773029 | + | 1.44649i | ||||
\(457\) | −8.54674 | − | 4.93447i | −0.399800 | − | 0.230825i | 0.286598 | − | 0.958051i | \(-0.407476\pi\) |
−0.686398 | + | 0.727226i | \(0.740809\pi\) | |||||||
\(458\) | 26.0977 | + | 4.30809i | 1.21947 | + | 0.201304i | ||||
\(459\) | −7.68057 | − | 13.3031i | −0.358498 | − | 0.620937i | ||||
\(460\) | 15.4587 | + | 36.3122i | 0.720767 | + | 1.69306i | ||||
\(461\) | 19.0434 | 0.886938 | 0.443469 | − | 0.896290i | \(-0.353748\pi\) | ||||
0.443469 | + | 0.896290i | \(0.353748\pi\) | |||||||
\(462\) | 12.5532 | − | 18.5507i | 0.584029 | − | 0.863058i | ||||
\(463\) | 15.5965 | 0.724831 | 0.362415 | − | 0.932017i | \(-0.381952\pi\) | ||||
0.362415 | + | 0.932017i | \(0.381952\pi\) | |||||||
\(464\) | 12.5860 | + | 1.65571i | 0.584288 | + | 0.0768644i | ||||
\(465\) | −6.71202 | + | 20.4237i | −0.311262 | + | 0.947127i | ||||
\(466\) | −0.985057 | + | 5.96732i | −0.0456319 | + | 0.276431i | ||||
\(467\) | 11.3528 | − | 19.6636i | 0.525343 | − | 0.909921i | −0.474221 | − | 0.880406i | \(-0.657270\pi\) |
0.999564 | − | 0.0295151i | \(-0.00939632\pi\) | |||||||
\(468\) | −0.594924 | + | 0.118368i | −0.0275004 | + | 0.00547157i | ||||
\(469\) | −1.16701 | − | 12.6100i | −0.0538876 | − | 0.582274i | ||||
\(470\) | −0.485069 | − | 11.4120i | −0.0223746 | − | 0.526396i | ||||
\(471\) | −8.47081 | − | 4.89062i | −0.390314 | − | 0.225348i | ||||
\(472\) | 0.0523046 | − | 0.00171615i | 0.00240751 | − | 7.89921e-5i | ||||
\(473\) | −19.0970 | + | 11.0257i | −0.878083 | + | 0.506961i | ||||
\(474\) | 38.4284 | − | 14.4645i | 1.76508 | − | 0.664377i | ||||
\(475\) | −33.1095 | − | 3.70506i | −1.51917 | − | 0.170000i | ||||
\(476\) | 11.8142 | − | 12.4671i | 0.541503 | − | 0.571430i | ||||
\(477\) | 0.0117920 | 0.000539917 | ||||||||
\(478\) | −33.2298 | + | 12.5078i | −1.51990 | + | 0.572091i | ||||
\(479\) | −17.2162 | − | 29.8193i | −0.786626 | − | 1.36248i | −0.928023 | − | 0.372523i | \(-0.878493\pi\) |
0.141397 | − | 0.989953i | \(-0.454841\pi\) | |||||||
\(480\) | −19.2409 | − | 13.5029i | −0.878221 | − | 0.616319i | ||||
\(481\) | −1.34283 | − | 0.775282i | −0.0612277 | − | 0.0353498i | ||||
\(482\) | −2.14357 | − | 1.75909i | −0.0976369 | − | 0.0801245i | ||||
\(483\) | −18.1393 | + | 39.4149i | −0.825366 | + | 1.79344i | ||||
\(484\) | 0.243017 | + | 1.22142i | 0.0110462 | + | 0.0555189i | ||||
\(485\) | −26.6372 | + | 5.56843i | −1.20953 | + | 0.252849i | ||||
\(486\) | −6.52042 | − | 1.07636i | −0.295772 | − | 0.0488247i | ||||
\(487\) | −0.417834 | − | 0.723709i | −0.0189338 | − | 0.0327944i | 0.856403 | − | 0.516308i | \(-0.172694\pi\) |
−0.875337 | + | 0.483513i | \(0.839361\pi\) | |||||||
\(488\) | −4.31283 | + | 2.68233i | −0.195233 | + | 0.121424i | ||||
\(489\) | − | 7.99448i | − | 0.361523i | ||||||
\(490\) | 6.46865 | − | 21.1697i | 0.292224 | − | 0.956350i | ||||
\(491\) | 28.3101 | 1.27762 | 0.638809 | − | 0.769365i | \(-0.279427\pi\) | ||||
0.638809 | + | 0.769365i | \(0.279427\pi\) | |||||||
\(492\) | −11.1674 | + | 32.9036i | −0.503467 | + | 1.48341i | ||||
\(493\) | −8.92109 | + | 5.15060i | −0.401786 | + | 0.231971i | ||||
\(494\) | 6.21980 | + | 1.02673i | 0.279842 | + | 0.0461950i | ||||
\(495\) | 3.19659 | − | 0.668240i | 0.143676 | − | 0.0300351i | ||||
\(496\) | 19.1186 | − | 7.92140i | 0.858451 | − | 0.355681i | ||||
\(497\) | 19.5542 | + | 8.99911i | 0.877127 | + | 0.403665i | ||||
\(498\) | 11.0086 | − | 13.4147i | 0.493306 | − | 0.601125i | ||||
\(499\) | 2.19914 | − | 3.80903i | 0.0984472 | − | 0.170516i | −0.812595 | − | 0.582829i | \(-0.801946\pi\) |
0.911042 | + | 0.412313i | \(0.135279\pi\) | |||||||
\(500\) | 5.15345 | − | 21.7587i | 0.230469 | − | 0.973080i | ||||
\(501\) | 6.24594 | − | 3.60609i | 0.279048 | − | 0.161108i | ||||
\(502\) | 13.5950 | − | 5.11719i | 0.606776 | − | 0.228391i | ||||
\(503\) | − | 21.2435i | − | 0.947200i | −0.880740 | − | 0.473600i | \(-0.842954\pi\) | ||
0.880740 | − | 0.473600i | \(-0.157046\pi\) | |||||||
\(504\) | −0.423259 | − | 3.36617i | −0.0188535 | − | 0.149941i | ||||
\(505\) | 21.0673 | + | 23.5563i | 0.937482 | + | 1.04824i | ||||
\(506\) | 14.1626 | + | 37.6263i | 0.629604 | + | 1.67269i | ||||
\(507\) | −11.6633 | − | 20.2014i | −0.517984 | − | 0.897174i | ||||
\(508\) | −8.33968 | + | 7.31443i | −0.370014 | + | 0.324526i | ||||
\(509\) | 4.64622 | − | 8.04750i | 0.205940 | − | 0.356699i | −0.744492 | − | 0.667632i | \(-0.767308\pi\) |
0.950432 | + | 0.310933i | \(0.100641\pi\) | |||||||
\(510\) | 19.0574 | − | 0.810041i | 0.843878 | − | 0.0358692i | ||||
\(511\) | 33.2126 | − | 3.07372i | 1.46924 | − | 0.135973i | ||||
\(512\) | 2.22287 | + | 22.5180i | 0.0982381 | + | 0.995163i | ||||
\(513\) | 27.3089 | + | 15.7668i | 1.20572 | + | 0.696121i | ||||
\(514\) | 12.3573 | + | 2.03989i | 0.545057 | + | 0.0899755i | ||||
\(515\) | 1.06351 | + | 0.349511i | 0.0468640 | + | 0.0154013i | ||||
\(516\) | −8.17674 | + | 24.0918i | −0.359961 | + | 1.06058i | ||||
\(517\) | − | 11.6358i | − | 0.511742i | ||||||
\(518\) | 4.86035 | − | 7.18246i | 0.213552 | − | 0.315579i | ||||
\(519\) | − | 30.8919i | − | 1.35601i | ||||||
\(520\) | −1.18844 | + | 4.06067i | −0.0521167 | + | 0.178072i | ||||
\(521\) | 19.2972 | − | 11.1412i | 0.845425 | − | 0.488106i | −0.0136798 | − | 0.999906i | \(-0.504355\pi\) |
0.859104 | + | 0.511800i | \(0.171021\pi\) | |||||||
\(522\) | −0.331405 | + | 2.00760i | −0.0145052 | + | 0.0878702i | ||||
\(523\) | 1.18906 | − | 2.05951i | 0.0519939 | − | 0.0900560i | −0.838857 | − | 0.544352i | \(-0.816776\pi\) |
0.890851 | + | 0.454296i | \(0.150109\pi\) | |||||||
\(524\) | −3.16553 | + | 0.629826i | −0.138287 | + | 0.0275141i | ||||
\(525\) | 21.5213 | − | 11.8816i | 0.939267 | − | 0.518556i | ||||
\(526\) | −11.1457 | + | 13.5817i | −0.485975 | + | 0.592192i | ||||
\(527\) | −8.39662 | + | 14.5434i | −0.365762 | + | 0.633519i | ||||
\(528\) | −18.9987 | − | 14.5752i | −0.826811 | − | 0.634305i | ||||
\(529\) | −27.4386 | − | 47.5251i | −1.19298 | − | 2.06631i | ||||
\(530\) | 0.0380632 | − | 0.0729132i | 0.00165336 | − | 0.00316715i | ||||
\(531\) | 0.00838834i | 0.000364023i | ||||||||
\(532\) | −8.20683 | + | 34.2901i | −0.355811 | + | 1.48667i | ||||
\(533\) | 6.25432 | 0.270905 | ||||||||
\(534\) | 3.73988 | − | 1.40770i | 0.161841 | − | 0.0609170i | ||||
\(535\) | −39.4068 | − | 12.9506i | −1.70370 | − | 0.559903i | ||||
\(536\) | −13.5309 | + | 0.443959i | −0.584448 | + | 0.0191761i | ||||
\(537\) | 14.7909 | − | 25.6186i | 0.638275 | − | 1.10552i | ||||
\(538\) | 24.4080 | − | 29.7428i | 1.05230 | − | 1.28230i | ||||
\(539\) | 7.49943 | − | 21.2661i | 0.323023 | − | 0.915996i | ||||
\(540\) | −12.7192 | + | 16.9159i | −0.547346 | + | 0.727945i | ||||
\(541\) | −18.1918 | − | 10.5031i | −0.782128 | − | 0.451562i | 0.0550562 | − | 0.998483i | \(-0.482466\pi\) |
−0.837184 | + | 0.546922i | \(0.815800\pi\) | |||||||
\(542\) | −14.5054 | − | 2.39448i | −0.623060 | − | 0.102852i | ||||
\(543\) | 6.97140 | + | 12.0748i | 0.299171 | + | 0.518180i | ||||
\(544\) | −12.5535 | − | 13.3999i | −0.538227 | − | 0.574517i | ||||
\(545\) | 7.56266 | − | 6.76358i | 0.323949 | − | 0.289720i | ||||
\(546\) | −4.18386 | + | 2.03283i | −0.179053 | + | 0.0869969i | ||||
\(547\) | − | 14.9270i | − | 0.638234i | −0.947715 | − | 0.319117i | \(-0.896614\pi\) | ||
0.947715 | − | 0.319117i | \(-0.103386\pi\) | |||||||
\(548\) | 5.38519 | − | 15.8668i | 0.230044 | − | 0.677798i | ||||
\(549\) | −0.407047 | − | 0.705026i | −0.0173723 | − | 0.0300898i | ||||
\(550\) | 6.18633 | − | 21.9225i | 0.263786 | − | 0.934778i | ||||
\(551\) | 10.5732 | − | 18.3134i | 0.450434 | − | 0.780175i | ||||
\(552\) | 40.9090 | + | 21.8624i | 1.74120 | + | 0.930526i | ||||
\(553\) | 33.7417 | − | 23.8794i | 1.43485 | − | 1.01546i | ||||
\(554\) | −18.3271 | + | 22.3328i | −0.778645 | + | 0.948829i | ||||
\(555\) | 9.42745 | − | 1.97078i | 0.400173 | − | 0.0836551i | ||||
\(556\) | −13.3570 | − | 15.2292i | −0.566461 | − | 0.645861i | ||||
\(557\) | −1.63827 | − | 2.83757i | −0.0694157 | − | 0.120232i | 0.829229 | − | 0.558910i | \(-0.188780\pi\) |
−0.898644 | + | 0.438678i | \(0.855447\pi\) | |||||||
\(558\) | 1.16853 | + | 3.10449i | 0.0494680 | + | 0.131423i | ||||
\(559\) | 4.57938 | 0.193687 | ||||||||
\(560\) | −22.1802 | − | 8.24848i | −0.937286 | − | 0.348562i | ||||
\(561\) | 19.4312 | 0.820385 | ||||||||
\(562\) | 15.5265 | + | 41.2497i | 0.654944 | + | 1.74001i | ||||
\(563\) | 4.29192 | + | 7.43383i | 0.180883 | + | 0.313299i | 0.942181 | − | 0.335103i | \(-0.108771\pi\) |
−0.761298 | + | 0.648402i | \(0.775438\pi\) | |||||||
\(564\) | −8.85202 | − | 10.0928i | −0.372737 | − | 0.424983i | ||||
\(565\) | −3.17848 | − | 15.2046i | −0.133720 | − | 0.639661i | ||||
\(566\) | 12.7256 | − | 15.5070i | 0.534897 | − | 0.651807i | ||||
\(567\) | −26.7521 | + | 2.47582i | −1.12348 | + | 0.103975i | ||||
\(568\) | 10.8462 | − | 20.2954i | 0.455097 | − | 0.851577i | ||||
\(569\) | −12.8908 | + | 22.3275i | −0.540411 | + | 0.936019i | 0.458470 | + | 0.888710i | \(0.348398\pi\) |
−0.998880 | + | 0.0473086i | \(0.984936\pi\) | |||||||
\(570\) | −33.0487 | + | 21.0008i | −1.38426 | + | 0.879627i | ||||
\(571\) | −15.5532 | − | 26.9389i | −0.650881 | − | 1.12736i | −0.982909 | − | 0.184089i | \(-0.941066\pi\) |
0.332029 | − | 0.943269i | \(-0.392267\pi\) | |||||||
\(572\) | −1.38523 | + | 4.08142i | −0.0579194 | + | 0.170653i | ||||
\(573\) | − | 26.2453i | − | 1.09641i | ||||||
\(574\) | −2.49258 | + | 34.8919i | −0.104038 | + | 1.45636i | ||||
\(575\) | −4.90699 | + | 43.8503i | −0.204636 | + | 1.82869i | ||||
\(576\) | −3.61912 | + | 0.237747i | −0.150797 | + | 0.00990615i | ||||
\(577\) | −10.1101 | − | 17.5112i | −0.420889 | − | 0.729001i | 0.575137 | − | 0.818057i | \(-0.304949\pi\) |
−0.996027 | + | 0.0890553i | \(0.971615\pi\) | |||||||
\(578\) | −9.01958 | − | 1.48891i | −0.375165 | − | 0.0619305i | ||||
\(579\) | −13.1955 | − | 7.61844i | −0.548387 | − | 0.316611i | ||||
\(580\) | 11.3438 | + | 8.52948i | 0.471027 | + | 0.354167i | ||||
\(581\) | 7.30370 | − | 15.8702i | 0.303008 | − | 0.658409i | ||||
\(582\) | −20.2896 | + | 24.7242i | −0.841030 | + | 1.02485i | ||||
\(583\) | 0.0418939 | − | 0.0725624i | 0.00173507 | − | 0.00300523i | ||||
\(584\) | −1.16932 | − | 35.6384i | −0.0483868 | − | 1.47473i | ||||
\(585\) | −0.644282 | − | 0.211736i | −0.0266378 | − | 0.00875420i | ||||
\(586\) | 17.6563 | − | 6.64586i | 0.729376 | − | 0.274538i | ||||
\(587\) | −21.6836 | −0.894976 | −0.447488 | − | 0.894290i | \(-0.647681\pi\) | ||||
−0.447488 | + | 0.894290i | \(0.647681\pi\) | |||||||
\(588\) | −9.67341 | − | 24.1513i | −0.398925 | − | 0.995982i | ||||
\(589\) | − | 34.4734i | − | 1.42045i | ||||||
\(590\) | 0.0518676 | + | 0.0270766i | 0.00213535 | + | 0.00111473i | ||||
\(591\) | 6.16188 | + | 10.6727i | 0.253466 | + | 0.439016i | ||||
\(592\) | −7.35589 | − | 5.64322i | −0.302325 | − | 0.231935i | ||||
\(593\) | −14.9180 | + | 25.8387i | −0.612609 | + | 1.06107i | 0.378190 | + | 0.925728i | \(0.376547\pi\) |
−0.990799 | + | 0.135342i | \(0.956787\pi\) | |||||||
\(594\) | −13.6770 | + | 16.6663i | −0.561174 | + | 0.683827i | ||||
\(595\) | 18.3546 | − | 5.64485i | 0.752466 | − | 0.231416i | ||||
\(596\) | −4.86942 | + | 0.968838i | −0.199459 | + | 0.0396852i | ||||
\(597\) | 3.31044 | − | 5.73384i | 0.135487 | − | 0.234671i | ||||
\(598\) | 1.35981 | − | 8.23751i | 0.0556068 | − | 0.336857i | ||||
\(599\) | 6.90813 | − | 3.98841i | 0.282259 | − | 0.162962i | −0.352187 | − | 0.935930i | \(-0.614562\pi\) |
0.634445 | + | 0.772968i | \(0.281229\pi\) | |||||||
\(600\) | −11.3117 | − | 23.7217i | −0.461799 | − | 0.968433i | ||||
\(601\) | 42.8990i | 1.74989i | 0.484224 | + | 0.874944i | \(0.339102\pi\) | ||||
−0.484224 | + | 0.874944i | \(0.660898\pi\) | |||||||
\(602\) | −1.82506 | + | 25.5477i | −0.0743837 | + | 1.04125i | ||||
\(603\) | − | 2.17002i | − | 0.0883702i | ||||||
\(604\) | −1.77349 | + | 5.22538i | −0.0721623 | + | 0.212618i | ||||
\(605\) | −0.434707 | + | 1.32275i | −0.0176734 | + | 0.0537775i | ||||
\(606\) | 36.6469 | + | 6.04950i | 1.48868 | + | 0.245744i | ||||
\(607\) | 24.6567 | + | 14.2355i | 1.00078 | + | 0.577802i | 0.908480 | − | 0.417929i | \(-0.137244\pi\) |
0.0923032 | + | 0.995731i | \(0.470577\pi\) | |||||||
\(608\) | 36.0713 | + | 10.9372i | 1.46288 | + | 0.443564i | ||||
\(609\) | 1.43791 | + | 15.5371i | 0.0582670 | + | 0.629596i | ||||
\(610\) | −5.67328 | + | 0.241144i | −0.229705 | + | 0.00976364i | ||||
\(611\) | −1.20820 | + | 2.09266i | −0.0488783 | + | 0.0846598i | ||||
\(612\) | 2.21269 | − | 1.94067i | 0.0894426 | − | 0.0784468i | ||||
\(613\) | −13.6922 | − | 23.7156i | −0.553022 | − | 0.957863i | −0.998054 | − | 0.0623483i | \(-0.980141\pi\) |
0.445032 | − | 0.895515i | \(-0.353192\pi\) | |||||||
\(614\) | −7.72860 | − | 20.5329i | −0.311901 | − | 0.828639i | ||||
\(615\) | −28.9571 | + | 25.8975i | −1.16766 | + | 1.04429i | ||||
\(616\) | −22.2176 | − | 9.35461i | −0.895172 | − | 0.376908i | ||||
\(617\) | − | 26.4349i | − | 1.06423i | −0.846673 | − | 0.532114i | \(-0.821398\pi\) | ||
0.846673 | − | 0.532114i | \(-0.178602\pi\) | |||||||
\(618\) | 1.23138 | − | 0.463494i | 0.0495335 | − | 0.0186445i | ||||
\(619\) | −6.44010 | + | 3.71819i | −0.258850 | + | 0.149447i | −0.623810 | − | 0.781576i | \(-0.714416\pi\) |
0.364960 | + | 0.931023i | \(0.381083\pi\) | |||||||
\(620\) | 22.9679 | + | 2.79556i | 0.922411 | + | 0.112272i | ||||
\(621\) | 20.8816 | − | 36.1679i | 0.837949 | − | 1.45137i | ||||
\(622\) | 8.23341 | − | 10.0329i | 0.330130 | − | 0.402285i | ||||
\(623\) | 3.28377 | − | 2.32396i | 0.131562 | − | 0.0931076i | ||||
\(624\) | 1.90343 | + | 4.59402i | 0.0761984 | + | 0.183908i | ||||
\(625\) | 16.9764 | − | 18.3521i | 0.679057 | − | 0.734085i | ||||
\(626\) | 45.2332 | + | 7.46689i | 1.80788 | + | 0.298437i | ||||
\(627\) | −34.5446 | + | 19.9443i | −1.37958 | + | 0.796500i | ||||
\(628\) | −3.38329 | + | 9.96847i | −0.135008 | + | 0.397785i | ||||
\(629\) | 7.52335 | 0.299976 | ||||||||
\(630\) | 1.43801 | − | 3.50997i | 0.0572919 | − | 0.139841i | ||||
\(631\) | − | 23.0524i | − | 0.917701i | −0.888514 | − | 0.458850i | \(-0.848261\pi\) | ||
0.888514 | − | 0.458850i | \(-0.151739\pi\) | |||||||
\(632\) | −23.3386 | − | 37.5253i | −0.928359 | − | 1.49268i | ||||
\(633\) | 12.5985 | + | 21.8212i | 0.500744 | + | 0.867315i | ||||
\(634\) | −0.574827 | − | 0.0948897i | −0.0228293 | − | 0.00376855i | ||||
\(635\) | −12.1398 | + | 2.53778i | −0.481752 | + | 0.100709i | ||||
\(636\) | −0.0188640 | − | 0.0948111i | −0.000748005 | − | 0.00375950i | ||||
\(637\) | −3.55690 | + | 3.04593i | −0.140929 | + | 0.120684i | ||||
\(638\) | 11.1764 | + | 9.17181i | 0.442480 | + | 0.363115i | ||||
\(639\) | 3.19437 | + | 1.84427i | 0.126367 | + | 0.0729581i | ||||
\(640\) | −10.2121 | + | 23.1455i | −0.403667 | + | 0.914906i | ||||
\(641\) | 4.04336 | + | 7.00330i | 0.159703 | + | 0.276614i | 0.934762 | − | 0.355276i | \(-0.115613\pi\) |
−0.775059 | + | 0.631889i | \(0.782280\pi\) | |||||||
\(642\) | −45.6269 | + | 17.1740i | −1.80075 | + | 0.677805i | ||||
\(643\) | 22.3144 | 0.879995 | 0.439998 | − | 0.897999i | \(-0.354979\pi\) | ||||
0.439998 | + | 0.897999i | \(0.354979\pi\) | |||||||
\(644\) | 45.4139 | + | 10.8691i | 1.78956 | + | 0.428304i | ||||
\(645\) | −21.2023 | + | 18.9620i | −0.834838 | + | 0.746628i | ||||
\(646\) | −28.6262 | + | 10.7750i | −1.12628 | + | 0.423935i | ||||
\(647\) | −1.37529 | + | 0.794021i | −0.0540681 | + | 0.0312162i | −0.526790 | − | 0.849995i | \(-0.676605\pi\) |
0.472722 | + | 0.881211i | \(0.343271\pi\) | |||||||
\(648\) | 0.941863 | + | 28.7060i | 0.0369999 | + | 1.12768i | ||||
\(649\) | 0.0516180 | + | 0.0298017i | 0.00202618 | + | 0.00116982i | ||||
\(650\) | −3.38890 | + | 3.30033i | −0.132923 | + | 0.129449i | ||||
\(651\) | 14.6945 | + | 20.7635i | 0.575924 | + | 0.813784i | ||||
\(652\) | −8.43857 | + | 1.67897i | −0.330480 | + | 0.0657535i | ||||
\(653\) | 22.2296 | − | 38.5028i | 0.869912 | − | 1.50673i | 0.00782554 | − | 0.999969i | \(-0.497509\pi\) |
0.862086 | − | 0.506762i | \(-0.169158\pi\) | |||||||
\(654\) | 1.94217 | − | 11.7654i | 0.0759449 | − | 0.460062i | ||||
\(655\) | −3.42816 | − | 1.12663i | −0.133949 | − | 0.0440209i | ||||
\(656\) | 37.0767 | + | 4.87751i | 1.44760 | + | 0.190435i | ||||
\(657\) | 5.71550 | 0.222983 | ||||||||
\(658\) | −11.1931 | − | 7.57435i | −0.436353 | − | 0.295279i | ||||
\(659\) | 6.14200 | 0.239259 | 0.119629 | − | 0.992819i | \(-0.461829\pi\) | ||||
0.119629 | + | 0.992819i | \(0.461829\pi\) | |||||||
\(660\) | −10.4865 | − | 24.6326i | −0.408188 | − | 0.958823i | ||||
\(661\) | −4.19173 | − | 7.26029i | −0.163039 | − | 0.282393i | 0.772918 | − | 0.634506i | \(-0.218796\pi\) |
−0.935957 | + | 0.352114i | \(0.885463\pi\) | |||||||
\(662\) | −41.0978 | − | 6.78424i | −1.59731 | − | 0.263677i | ||||
\(663\) | −3.49463 | − | 2.01762i | −0.135720 | − | 0.0783581i | ||||
\(664\) | −16.4718 | − | 8.80280i | −0.639230 | − | 0.341615i | ||||
\(665\) | −26.8367 | + | 28.8747i | −1.04068 | + | 1.11971i | ||||
\(666\) | 0.942724 | − | 1.14877i | 0.0365298 | − | 0.0445139i | ||||
\(667\) | −24.2543 | − | 14.0032i | −0.939128 | − | 0.542206i | ||||
\(668\) | −5.11815 | − | 5.83555i | −0.198027 | − | 0.225784i | ||||
\(669\) | −28.2030 | + | 16.2830i | −1.09039 | + | 0.629538i | ||||
\(670\) | −13.4179 | − | 7.00460i | −0.518379 | − | 0.270611i | ||||
\(671\) | −5.78454 | −0.223310 | ||||||||
\(672\) | −26.3879 | + | 8.78810i | −1.01794 | + | 0.339008i | ||||
\(673\) | 5.56001i | 0.214323i | 0.994242 | + | 0.107161i | \(0.0341761\pi\) | ||||
−0.994242 | + | 0.107161i | \(0.965824\pi\) | |||||||
\(674\) | 0.961946 | − | 0.362078i | 0.0370528 | − | 0.0139467i | ||||
\(675\) | −21.6808 | + | 9.47887i | −0.834495 | + | 0.364842i | ||||
\(676\) | −18.8741 | + | 16.5538i | −0.725926 | + | 0.636683i | ||||
\(677\) | −13.5074 | − | 7.79851i | −0.519132 | − | 0.299721i | 0.217447 | − | 0.976072i | \(-0.430227\pi\) |
−0.736579 | + | 0.676351i | \(0.763560\pi\) | |||||||
\(678\) | −14.1126 | − | 11.5813i | −0.541992 | − | 0.444779i | ||||
\(679\) | −13.4612 | + | 29.2500i | −0.516594 | + | 1.12251i | ||||
\(680\) | −4.85741 | − | 19.9460i | −0.186273 | − | 0.764892i | ||||
\(681\) | −10.1755 | + | 17.6245i | −0.389926 | + | 0.675371i | ||||
\(682\) | 23.2551 | + | 3.83885i | 0.890484 | + | 0.146997i | ||||
\(683\) | −13.9790 | + | 8.07076i | −0.534890 | + | 0.308819i | −0.743006 | − | 0.669285i | \(-0.766600\pi\) |
0.208115 | + | 0.978104i | \(0.433267\pi\) | |||||||
\(684\) | −1.94178 | + | 5.72122i | −0.0742457 | + | 0.218756i | ||||
\(685\) | 13.9638 | − | 12.4883i | 0.533529 | − | 0.477155i | ||||
\(686\) | −15.5753 | − | 21.0573i | −0.594666 | − | 0.803973i | ||||
\(687\) | 34.7574 | 1.32608 | ||||||||
\(688\) | 27.1473 | + | 3.57129i | 1.03498 | + | 0.136154i | ||||
\(689\) | −0.0150689 | + | 0.00870005i | −0.000574081 | + | 0.000331446i | ||||
\(690\) | 27.8135 | + | 43.7698i | 1.05884 | + | 1.66629i | ||||
\(691\) | 12.5750 | + | 7.26020i | 0.478377 | + | 0.276191i | 0.719740 | − | 0.694244i | \(-0.244261\pi\) |
−0.241363 | + | 0.970435i | \(0.577594\pi\) | |||||||
\(692\) | −32.6080 | + | 6.48780i | −1.23957 | + | 0.246629i | ||||
\(693\) | 1.61541 | − | 3.51014i | 0.0613645 | − | 0.133339i | ||||
\(694\) | −18.1783 | − | 14.9178i | −0.690040 | − | 0.566273i | ||||
\(695\) | −4.63427 | − | 22.1685i | −0.175788 | − | 0.840900i | ||||
\(696\) | 16.6719 | − | 0.547016i | 0.631946 | − | 0.0207346i | ||||
\(697\) | −26.2804 | + | 15.1730i | −0.995442 | + | 0.574719i | ||||
\(698\) | −16.6111 | − | 44.1312i | −0.628738 | − | 1.67039i | ||||
\(699\) | 7.94737i | 0.300597i | ||||||||
\(700\) | −17.0614 | − | 20.2215i | −0.644861 | − | 0.764300i | ||||
\(701\) | 50.0391i | 1.88995i | 0.327140 | + | 0.944976i | \(0.393915\pi\) | ||||
−0.327140 | + | 0.944976i | \(0.606085\pi\) | |||||||
\(702\) | 4.19030 | − | 1.57723i | 0.158153 | − | 0.0595289i | ||||
\(703\) | −13.3749 | + | 7.72203i | −0.504446 | + | 0.291242i | ||||
\(704\) | −11.3948 | + | 23.1151i | −0.429459 | + | 0.871182i | ||||
\(705\) | −3.07126 | − | 14.6917i | −0.115670 | − | 0.553321i | ||||
\(706\) | −7.62841 | + | 9.29572i | −0.287099 | + | 0.349849i | ||||
\(707\) | 37.2337 | − | 3.44586i | 1.40032 | − | 0.129595i | ||||
\(708\) | 0.0674449 | − | 0.0134191i | 0.00253473 | − | 0.000504320i | ||||
\(709\) | 24.6072 | + | 14.2069i | 0.924141 | + | 0.533553i | 0.884954 | − | 0.465679i | \(-0.154190\pi\) |
0.0391872 | + | 0.999232i | \(0.487523\pi\) | |||||||
\(710\) | 21.7147 | − | 13.7986i | 0.814939 | − | 0.517853i | ||||
\(711\) | 6.13432 | − | 3.54165i | 0.230055 | − | 0.132822i | ||||
\(712\) | −2.27133 | − | 3.65199i | −0.0851216 | − | 0.136864i | ||||
\(713\) | −45.6567 | −1.70986 | ||||||||
\(714\) | 12.6488 | − | 18.6919i | 0.473369 | − | 0.699528i | ||||
\(715\) | −3.59190 | + | 3.21237i | −0.134329 | + | 0.120136i | ||||
\(716\) | −30.1480 | − | 10.2322i | −1.12669 | − | 0.382396i | ||||
\(717\) | −40.4051 | + | 23.3279i | −1.50896 | + | 0.871197i | ||||
\(718\) | 7.50838 | − | 45.4846i | 0.280210 | − | 1.69747i | ||||
\(719\) | −6.99938 | + | 12.1233i | −0.261033 | + | 0.452122i | −0.966517 | − | 0.256604i | \(-0.917396\pi\) |
0.705484 | + | 0.708726i | \(0.250730\pi\) | |||||||
\(720\) | −3.65429 | − | 1.75766i | −0.136187 | − | 0.0655040i | ||||
\(721\) | 1.08121 | − | 0.765181i | 0.0402662 | − | 0.0284968i | ||||
\(722\) | 22.7863 | − | 27.7665i | 0.848017 | − | 1.03336i | ||||
\(723\) | −3.15559 | − | 1.82188i | −0.117358 | − | 0.0677564i | ||||
\(724\) | 11.2815 | − | 9.89455i | 0.419272 | − | 0.367728i | ||||
\(725\) | 6.35654 | + | 14.5392i | 0.236076 | + | 0.539971i | ||||
\(726\) | 0.576474 | + | 1.53154i | 0.0213950 | + | 0.0568408i | ||||
\(727\) | 27.8172i | 1.03168i | 0.856684 | + | 0.515842i | \(0.172521\pi\) | ||||
−0.856684 | + | 0.515842i | \(0.827479\pi\) | |||||||
\(728\) | 3.02442 | + | 3.98934i | 0.112093 | + | 0.147855i | ||||
\(729\) | 21.7797 | 0.806654 | ||||||||
\(730\) | 18.4490 | − | 35.3406i | 0.682828 | − | 1.30801i | ||||
\(731\) | −19.2424 | + | 11.1096i | −0.711705 | + | 0.410903i | ||||
\(732\) | −5.01746 | + | 4.40064i | −0.185451 | + | 0.162652i | ||||
\(733\) | 40.1317 | + | 23.1700i | 1.48230 | + | 0.855804i | 0.999798 | − | 0.0200925i | \(-0.00639608\pi\) |
0.482498 | + | 0.875897i | \(0.339729\pi\) | |||||||
\(734\) | −3.81702 | − | 3.13239i | −0.140889 | − | 0.115618i | ||||
\(735\) | 3.85582 | − | 28.8307i | 0.142224 | − | 1.06343i | ||||
\(736\) | 14.4853 | − | 47.7729i | 0.533936 | − | 1.76093i | ||||
\(737\) | −13.3533 | − | 7.70955i | −0.491877 | − | 0.283985i | ||||
\(738\) | −0.976278 | + | 5.91413i | −0.0359373 | + | 0.217702i | ||||
\(739\) | −4.81690 | − | 8.34311i | −0.177192 | − | 0.306906i | 0.763725 | − | 0.645541i | \(-0.223368\pi\) |
−0.940918 | + | 0.338635i | \(0.890035\pi\) | |||||||
\(740\) | −4.06017 | − | 9.53724i | −0.149255 | − | 0.350596i | ||||
\(741\) | 8.28362 | 0.304307 | ||||||||
\(742\) | −0.0425308 | − | 0.0875347i | −0.00156135 | − | 0.00321350i | ||||
\(743\) | −32.6002 | −1.19599 | −0.597993 | − | 0.801501i | \(-0.704035\pi\) | ||||
−0.597993 | + | 0.801501i | \(0.704035\pi\) | |||||||
\(744\) | 23.0917 | − | 14.3617i | 0.846583 | − | 0.526526i | ||||
\(745\) | −5.27342 | − | 1.73305i | −0.193203 | − | 0.0634940i | ||||
\(746\) | 34.0169 | + | 5.61535i | 1.24545 | + | 0.205593i | ||||
\(747\) | 1.49681 | − | 2.59255i | 0.0547655 | − | 0.0948566i | ||||
\(748\) | −4.08086 | − | 20.5106i | −0.149211 | − | 0.749941i | ||||
\(749\) | −40.0623 | + | 28.3526i | −1.46385 | + | 1.03598i | ||||
\(750\) | 2.02462 | − | 29.3128i | 0.0739287 | − | 1.07035i | ||||
\(751\) | −4.64496 | − | 2.68177i | −0.169497 | − | 0.0978591i | 0.412852 | − | 0.910798i | \(-0.364533\pi\) |
−0.582349 | + | 0.812939i | \(0.697866\pi\) | |||||||
\(752\) | −8.79437 | + | 11.4634i | −0.320698 | + | 0.418027i | ||||
\(753\) | 16.5306 | − | 9.54396i | 0.602409 | − | 0.347801i | ||||
\(754\) | −1.05769 | − | 2.81002i | −0.0385190 | − | 0.102335i | ||||
\(755\) | −4.59865 | + | 4.11275i | −0.167362 | + | 0.149678i | ||||
\(756\) | 7.12917 | + | 24.0056i | 0.259285 | + | 0.873077i | ||||
\(757\) | 14.4301 | 0.524470 | 0.262235 | − | 0.965004i | \(-0.415540\pi\) | ||||
0.262235 | + | 0.965004i | \(0.415540\pi\) | |||||||
\(758\) | 16.7841 | + | 44.5909i | 0.609626 | + | 1.61962i | ||||
\(759\) | 26.4143 | + | 45.7509i | 0.958778 | + | 1.66065i | ||||
\(760\) | 29.1081 | + | 30.4740i | 1.05586 | + | 1.10541i | ||||
\(761\) | −14.5866 | − | 8.42159i | −0.528765 | − | 0.305283i | 0.211748 | − | 0.977324i | \(-0.432084\pi\) |
−0.740513 | + | 0.672042i | \(0.765418\pi\) | |||||||
\(762\) | −9.24687 | + | 11.2679i | −0.334979 | + | 0.408193i | ||||
\(763\) | −1.10628 | − | 11.9537i | −0.0400500 | − | 0.432755i | ||||
\(764\) | −27.7032 | + | 5.51193i | −1.00227 | + | 0.199415i | ||||
\(765\) | 3.22092 | − | 0.673325i | 0.116453 | − | 0.0243441i | ||||
\(766\) | 3.40347 | − | 20.6177i | 0.122973 | − | 0.744948i | ||||
\(767\) | −0.00618888 | − | 0.0107195i | −0.000223467 | − | 0.000387057i | ||||
\(768\) | 7.70118 | + | 28.7185i | 0.277892 | + | 1.03629i | ||||
\(769\) | 53.2864i | 1.92156i | 0.277315 | + | 0.960779i | \(0.410555\pi\) | ||||
−0.277315 | + | 0.960779i | \(0.589445\pi\) | |||||||
\(770\) | −16.4899 | − | 21.3189i | −0.594253 | − | 0.768281i | ||||
\(771\) | 16.4577 | 0.592708 | ||||||||
\(772\) | −5.27036 | + | 15.5285i | −0.189685 | + | 0.558883i | ||||
\(773\) | 0.228998 | − | 0.132212i | 0.00823647 | − | 0.00475533i | −0.495876 | − | 0.868393i | \(-0.665153\pi\) |
0.504113 | + | 0.863638i | \(0.331820\pi\) | |||||||
\(774\) | −0.714825 | + | 4.33030i | −0.0256939 | + | 0.155649i | ||||
\(775\) | 20.8253 | + | 15.3453i | 0.748067 | + | 0.551220i | ||||
\(776\) | 30.3587 | + | 16.2242i | 1.08981 | + | 0.582414i | ||||
\(777\) | 4.76421 | − | 10.3522i | 0.170915 | − | 0.371382i | ||||
\(778\) | 0.225030 | + | 0.184668i | 0.00806770 | + | 0.00662066i | ||||
\(779\) | 31.1474 | − | 53.9489i | 1.11597 | − | 1.93292i | ||||
\(780\) | −0.671745 | + | 5.51895i | −0.0240523 | + | 0.197610i | ||||
\(781\) | 22.6976 | − | 13.1045i | 0.812183 | − | 0.468914i | ||||
\(782\) | 14.2704 | + | 37.9126i | 0.510307 | + | 1.35575i | ||||
\(783\) | − | 15.0190i | − | 0.536734i | ||||||
\(784\) | −23.4613 | + | 15.2829i | −0.837903 | + | 0.545818i | ||||
\(785\) | −8.77286 | + | 7.84590i | −0.313117 | + | 0.280032i | ||||
\(786\) | −3.96928 | + | 1.49404i | −0.141579 | + | 0.0532907i | ||||
\(787\) | 7.22171 | + | 12.5084i | 0.257426 | + | 0.445875i | 0.965552 | − | 0.260211i | \(-0.0837922\pi\) |
−0.708126 | + | 0.706087i | \(0.750459\pi\) | |||||||
\(788\) | 9.97146 | − | 8.74561i | 0.355219 | − | 0.311549i | ||||
\(789\) | −11.5435 | + | 19.9939i | −0.410960 | + | 0.711803i | ||||
\(790\) | −2.09816 | − | 49.3624i | −0.0746491 | − | 1.75623i | ||||
\(791\) | −16.6960 | − | 7.68371i | −0.593640 | − | 0.273201i | ||||
\(792\) | −3.64320 | − | 1.94698i | −0.129455 | − | 0.0691830i | ||||
\(793\) | 1.04033 | + | 0.600634i | 0.0369432 | + | 0.0213292i | ||||
\(794\) | −1.16806 | + | 7.07594i | −0.0414530 | + | 0.251116i | ||||
\(795\) | 0.0337437 | − | 0.102677i | 0.00119676 | − | 0.00364158i | ||||
\(796\) | −6.74760 | − | 2.29013i | −0.239162 | − | 0.0811715i | ||||
\(797\) | 34.3379i | 1.21631i | 0.793818 | + | 0.608156i | \(0.208091\pi\) | ||||
−0.793818 | + | 0.608156i | \(0.791909\pi\) | |||||||
\(798\) | −3.30134 | + | 46.2131i | −0.116866 | + | 1.63593i | ||||
\(799\) | − | 11.7244i | − | 0.414778i | ||||||
\(800\) | −22.6638 | + | 16.9220i | −0.801285 | + | 0.598283i | ||||
\(801\) | 0.596997 | − | 0.344676i | 0.0210938 | − | 0.0121785i | ||||
\(802\) | 26.8654 | + | 4.43481i | 0.948649 | + | 0.156599i | ||||
\(803\) | 20.3057 | − | 35.1706i | 0.716574 | − | 1.24114i | ||||
\(804\) | −17.4477 | + | 3.47145i | −0.615332 | + | 0.122429i | ||||
\(805\) | 38.2417 | + | 35.5426i | 1.34784 | + | 1.25271i | ||||
\(806\) | −3.78374 | − | 3.10508i | −0.133277 | − | 0.109372i | ||||
\(807\) | 25.2792 | − | 43.7848i | 0.889870 | − | 1.54130i | ||||
\(808\) | −1.31089 | − | 39.9531i | −0.0461169 | − | 1.40554i | ||||
\(809\) | 8.65907 | + | 14.9980i | 0.304437 | + | 0.527300i | 0.977136 | − | 0.212616i | \(-0.0681984\pi\) |
−0.672699 | + | 0.739916i | \(0.734865\pi\) | |||||||
\(810\) | −14.8603 | + | 28.4661i | −0.522138 | + | 1.00020i | ||||
\(811\) | − | 25.3807i | − | 0.891236i | −0.895223 | − | 0.445618i | \(-0.852984\pi\) | ||
0.895223 | − | 0.445618i | \(-0.147016\pi\) | |||||||
\(812\) | 16.0982 | − | 4.78082i | 0.564936 | − | 0.167774i | ||||
\(813\) | −19.3185 | −0.677530 | ||||||||
\(814\) | −3.71974 | − | 9.88239i | −0.130377 | − | 0.346377i | ||||
\(815\) | −9.13869 | − | 3.00332i | −0.320114 | − | 0.105202i | ||||
\(816\) | −19.1433 | − | 14.6862i | −0.670149 | − | 0.514118i | ||||
\(817\) | 22.8060 | − | 39.5011i | 0.797880 | − | 1.38197i | ||||
\(818\) | 23.9804 | + | 19.6792i | 0.838456 | + | 0.688068i | ||||
\(819\) | −0.655000 | + | 0.463551i | −0.0228875 | + | 0.0161978i | ||||
\(820\) | 33.4175 | + | 25.1268i | 1.16699 | + | 0.877465i | ||||
\(821\) | 20.2636 | + | 11.6992i | 0.707206 | + | 0.408306i | 0.810026 | − | 0.586394i | \(-0.199453\pi\) |
−0.102820 | + | 0.994700i | \(0.532786\pi\) | |||||||
\(822\) | 3.58604 | − | 21.7237i | 0.125078 | − | 0.757700i | ||||
\(823\) | 9.67683 | + | 16.7608i | 0.337313 | + | 0.584243i | 0.983926 | − | 0.178575i | \(-0.0571486\pi\) |
−0.646613 | + | 0.762818i | \(0.723815\pi\) | |||||||
\(824\) | −0.747851 | − | 1.20244i | −0.0260526 | − | 0.0418891i | ||||
\(825\) | 3.32870 | − | 29.7462i | 0.115890 | − | 1.03563i | ||||
\(826\) | 0.0622687 | − | 0.0302547i | 0.00216661 | − | 0.00105270i | ||||
\(827\) | − | 29.0919i | − | 1.01162i | −0.862644 | − | 0.505812i | \(-0.831193\pi\) | ||
0.862644 | − | 0.505812i | \(-0.168807\pi\) | |||||||
\(828\) | 7.57719 | + | 2.57169i | 0.263326 | + | 0.0893725i | ||||
\(829\) | 13.3551 | + | 23.1317i | 0.463841 | + | 0.803397i | 0.999148 | − | 0.0412606i | \(-0.0131374\pi\) |
−0.535307 | + | 0.844658i | \(0.679804\pi\) | |||||||
\(830\) | −11.1990 | − | 17.6237i | −0.388722 | − | 0.611728i | ||||
\(831\) | −18.9813 | + | 32.8765i | −0.658453 | + | 1.14047i | ||||
\(832\) | 4.44946 | − | 2.97399i | 0.154257 | − | 0.103104i | ||||
\(833\) | 7.55651 | − | 21.4280i | 0.261817 | − | 0.742435i | ||||
\(834\) | −20.5764 | − | 16.8858i | −0.712504 | − | 0.584707i | ||||
\(835\) | −1.77577 | − | 8.49459i | −0.0614531 | − | 0.293968i | ||||
\(836\) | 28.3071 | + | 32.2749i | 0.979022 | + | 1.11625i | ||||
\(837\) | −12.2421 | − | 21.2040i | −0.423150 | − | 0.732917i | ||||
\(838\) | 26.9770 | − | 10.1542i | 0.931905 | − | 0.350770i | ||||
\(839\) | 24.7914 | 0.855896 | 0.427948 | − | 0.903803i | \(-0.359237\pi\) | ||||
0.427948 | + | 0.903803i | \(0.359237\pi\) | |||||||
\(840\) | −30.5217 | − | 5.94708i | −1.05310 | − | 0.205194i | ||||
\(841\) | 18.9283 | 0.652699 | ||||||||
\(842\) | 28.1768 | − | 10.6058i | 0.971037 | − | 0.365500i | ||||
\(843\) | 28.9580 | + | 50.1568i | 0.997367 | + | 1.72749i | ||||
\(844\) | 20.3875 | − | 17.8811i | 0.701766 | − | 0.615493i | ||||
\(845\) | −27.4743 | + | 5.74342i | −0.945143 | + | 0.197580i | ||||
\(846\) | −1.79024 | − | 1.46914i | −0.0615496 | − | 0.0505099i | ||||
\(847\) | 0.951699 | + | 1.34476i | 0.0327008 | + | 0.0462064i | ||||
\(848\) | −0.0961160 | + | 0.0398237i | −0.00330064 | + | 0.00136755i | ||||
\(849\) | 13.1798 | − | 22.8281i | 0.452330 | − | 0.783459i | ||||
\(850\) | 6.23342 | − | 22.0893i | 0.213804 | − | 0.757658i | ||||
\(851\) | 10.2271 | + | 17.7138i | 0.350579 | + | 0.607221i | ||||
\(852\) | 9.71837 | − | 28.6340i | 0.332946 | − | 0.980986i | ||||
\(853\) | 50.6858i | 1.73545i | 0.497047 | + | 0.867724i | \(0.334418\pi\) | ||||
−0.497047 | + | 0.867724i | \(0.665582\pi\) | |||||||
\(854\) | −3.76546 | + | 5.56447i | −0.128851 | + | 0.190412i | ||||
\(855\) | −5.03502 | + | 4.50301i | −0.172194 | + | 0.154000i | ||||
\(856\) | 27.7104 | + | 44.5546i | 0.947123 | + | 1.52285i | ||||
\(857\) | 10.5812 | + | 18.3272i | 0.361448 | + | 0.626047i | 0.988199 | − | 0.153173i | \(-0.0489491\pi\) |
−0.626751 | + | 0.779219i | \(0.715616\pi\) | |||||||
\(858\) | −0.922437 | + | 5.58798i | −0.0314915 | + | 0.190770i | ||||
\(859\) | 2.47660 | + | 1.42986i | 0.0845003 | + | 0.0487863i | 0.541655 | − | 0.840601i | \(-0.317798\pi\) |
−0.457154 | + | 0.889387i | \(0.651131\pi\) | |||||||
\(860\) | 24.4681 | + | 18.3977i | 0.834356 | + | 0.627356i | ||||
\(861\) | 4.23590 | + | 45.7704i | 0.144359 | + | 1.55985i | ||||
\(862\) | 23.6346 | + | 19.3954i | 0.804997 | + | 0.660611i | ||||
\(863\) | −6.07596 | + | 10.5239i | −0.206828 | + | 0.358237i | −0.950714 | − | 0.310070i | \(-0.899647\pi\) |
0.743886 | + | 0.668307i | \(0.232981\pi\) | |||||||
\(864\) | 26.0708 | − | 6.08225i | 0.886947 | − | 0.206922i | ||||
\(865\) | −35.3133 | − | 11.6053i | −1.20069 | − | 0.394592i | ||||
\(866\) | −14.8495 | − | 39.4511i | −0.504605 | − | 1.34060i | ||||
\(867\) | −12.0124 | −0.407963 | ||||||||
\(868\) | 18.8308 | − | 19.8715i | 0.639158 | − | 0.674481i | ||||
\(869\) | − | 50.3304i | − | 1.70734i | ||||||
\(870\) | 16.5326 | + | 8.63058i | 0.560507 | + | 0.292604i | ||||
\(871\) | 1.60103 | + | 2.77307i | 0.0542489 | + | 0.0939619i | ||||
\(872\) | −12.8268 | + | 0.420856i | −0.434370 | + | 0.0142520i | ||||
\(873\) | −2.75873 | + | 4.77826i | −0.0933688 | + | 0.161720i | ||||
\(874\) | −64.2836 | − | 52.7535i | −2.17442 | − | 1.78441i | ||||
\(875\) | −5.49714 | − | 29.0651i | −0.185837 | − | 0.982581i | ||||
\(876\) | −9.14326 | − | 45.9544i | −0.308922 | − | 1.55266i | ||||
\(877\) | −16.6594 | + | 28.8550i | −0.562549 | + | 0.974363i | 0.434725 | + | 0.900563i | \(0.356846\pi\) |
−0.997273 | + | 0.0737992i | \(0.976488\pi\) | |||||||
\(878\) | 41.7914 | + | 6.89873i | 1.41039 | + | 0.232821i | ||||
\(879\) | 21.4688 | − | 12.3950i | 0.724126 | − | 0.418074i | ||||
\(880\) | −23.7986 | + | 16.2423i | −0.802251 | + | 0.547528i | ||||
\(881\) | − | 19.5712i | − | 0.659372i | −0.944091 | − | 0.329686i | \(-0.893057\pi\) | ||
0.944091 | − | 0.329686i | \(-0.106943\pi\) | |||||||
\(882\) | −2.32504 | − | 3.83889i | −0.0782882 | − | 0.129262i | ||||
\(883\) | 42.7210i | 1.43768i | 0.695178 | + | 0.718838i | \(0.255325\pi\) | ||||
−0.695178 | + | 0.718838i | \(0.744675\pi\) | |||||||
\(884\) | −1.39577 | + | 4.11249i | −0.0469450 | + | 0.138318i | ||||
\(885\) | 0.0730405 | + | 0.0240039i | 0.00245523 | + | 0.000806883i | ||||
\(886\) | −8.54110 | + | 51.7407i | −0.286944 | + | 1.73826i | ||||
\(887\) | 3.02603 | + | 1.74708i | 0.101604 | + | 0.0586613i | 0.549941 | − | 0.835203i | \(-0.314650\pi\) |
−0.448337 | + | 0.893865i | \(0.647983\pi\) | |||||||
\(888\) | −10.7446 | − | 5.74207i | −0.360564 | − | 0.192691i | ||||
\(889\) | −6.13489 | + | 13.3305i | −0.205757 | + | 0.447091i | ||||
\(890\) | −0.204194 | − | 4.80398i | −0.00684461 | − | 0.161030i | ||||
\(891\) | −16.3559 | + | 28.3292i | −0.547942 | + | 0.949064i | ||||
\(892\) | 23.1106 | + | 26.3500i | 0.773800 | + | 0.882263i | ||||
\(893\) | 12.0340 | + | 20.8434i | 0.402701 | + | 0.697499i | ||||
\(894\) | −6.10580 | + | 2.29823i | −0.204208 | + | 0.0768643i | ||||
\(895\) | −23.7287 | − | 26.5321i | −0.793162 | − | 0.886870i | ||||
\(896\) | 14.8182 | + | 26.0081i | 0.495040 | + | 0.868870i | ||||
\(897\) | − | 10.9708i | − | 0.366306i | ||||||
\(898\) | −8.56788 | − | 22.7626i | −0.285914 | − | 0.759598i | ||||
\(899\) | −14.2194 | + | 8.20958i | −0.474244 | + | 0.273805i | ||||
\(900\) | −2.59182 | − | 3.71974i | −0.0863940 | − | 0.123991i | ||||
\(901\) | 0.0422128 | − | 0.0731146i | 0.00140631 | − | 0.00243580i | ||||
\(902\) | 32.9244 | + | 27.0190i | 1.09626 | + | 0.899635i | ||||
\(903\) | 3.10150 | + | 33.5128i | 0.103212 | + | 1.11524i | ||||
\(904\) | −9.26081 | + | 17.3288i | −0.308010 | + | 0.576348i | ||||
\(905\) | 16.4220 | − | 3.43297i | 0.545885 | − | 0.114116i | ||||
\(906\) | −1.18098 | + | 7.15420i | −0.0392355 | + | 0.237682i | ||||
\(907\) | 18.3487 | − | 10.5936i | 0.609258 | − | 0.351755i | −0.163417 | − | 0.986557i | \(-0.552252\pi\) |
0.772675 | + | 0.634802i | \(0.218918\pi\) | |||||||
\(908\) | 20.7405 | + | 7.03932i | 0.688298 | + | 0.233608i | ||||
\(909\) | 6.40748 | 0.212523 | ||||||||
\(910\) | 0.752003 | + | 5.54635i | 0.0249287 | + | 0.183860i | ||||
\(911\) | 14.1566i | 0.469030i | 0.972112 | + | 0.234515i | \(0.0753502\pi\) | ||||
−0.972112 | + | 0.234515i | \(0.924650\pi\) | |||||||
\(912\) | 49.1067 | + | 6.46009i | 1.62609 | + | 0.213915i | ||||
\(913\) | −10.6356 | − | 18.4214i | −0.351987 | − | 0.609659i | ||||
\(914\) | −2.27316 | + | 13.7704i | −0.0751893 | + | 0.455485i | ||||
\(915\) | −7.30373 | + | 1.52683i | −0.241454 | + | 0.0504753i | ||||
\(916\) | −7.29960 | − | 36.6881i | −0.241186 | − | 1.21221i | ||||
\(917\) | −3.48519 | + | 2.46651i | −0.115091 | + | 0.0814513i | ||||
\(918\) | −13.7811 | + | 16.7932i | −0.454844 | + | 0.554257i | ||||
\(919\) | 25.4716 | + | 14.7060i | 0.840230 | + | 0.485107i | 0.857342 | − | 0.514746i | \(-0.172114\pi\) |
−0.0171122 | + | 0.999854i | \(0.505447\pi\) | |||||||
\(920\) | 40.3599 | − | 38.5509i | 1.33063 | − | 1.27098i | ||||
\(921\) | −14.4144 | − | 24.9665i | −0.474972 | − | 0.822675i | ||||
\(922\) | −9.48721 | − | 25.2050i | −0.312444 | − | 0.830083i | ||||
\(923\) | −5.44277 | −0.179151 | ||||||||
\(924\) | −30.8069 | − | 7.37316i | −1.01347 | − | 0.242559i | ||||
\(925\) | 1.28880 | − | 11.5171i | 0.0423755 | − | 0.378680i | ||||
\(926\) | −7.77001 | − | 20.6429i | −0.255338 | − | 0.678367i | ||||
\(927\) | 0.196565 | − | 0.113487i | 0.00645606 | − | 0.00372741i | ||||
\(928\) | −4.07876 | − | 17.4831i | −0.133892 | − | 0.573911i | ||||
\(929\) | 16.8894 | + | 9.75112i | 0.554125 | + | 0.319924i | 0.750784 | − | 0.660548i | \(-0.229676\pi\) |
−0.196659 | + | 0.980472i | \(0.563009\pi\) | |||||||
\(930\) | 30.3758 | − | 1.29113i | 0.996063 | − | 0.0423379i | ||||
\(931\) | 8.55994 | + | 45.8505i | 0.280541 | + | 1.50269i | ||||
\(932\) | 8.38884 | − | 1.66907i | 0.274786 | − | 0.0546724i | ||||
\(933\) | 8.52728 | − | 14.7697i | 0.279171 | − | 0.483538i | ||||
\(934\) | −31.6817 | − | 5.22987i | −1.03666 | − | 0.171126i | ||||
\(935\) | 7.29980 | − | 22.2123i | 0.238729 | − | 0.726418i | ||||
\(936\) | 0.453052 | + | 0.728447i | 0.0148085 | + | 0.0238100i | ||||
\(937\) | 2.05387 | 0.0670971 | 0.0335485 | − | 0.999437i | \(-0.489319\pi\) | ||||
0.0335485 | + | 0.999437i | \(0.489319\pi\) | |||||||
\(938\) | −16.1086 | + | 7.82676i | −0.525965 | + | 0.255553i | ||||
\(939\) | 60.2423 | 1.96593 | ||||||||
\(940\) | −14.8628 | + | 6.32735i | −0.484770 | + | 0.206375i | ||||
\(941\) | −15.1289 | − | 26.2040i | −0.493187 | − | 0.854226i | 0.506782 | − | 0.862074i | \(-0.330835\pi\) |
−0.999969 | + | 0.00784879i | \(0.997502\pi\) | |||||||
\(942\) | −2.25296 | + | 13.6481i | −0.0734054 | + | 0.444678i | ||||
\(943\) | −71.4500 | − | 41.2517i | −2.32673 | − | 1.34334i | ||||
\(944\) | −0.0283290 | − | 0.0683732i | −0.000922030 | − | 0.00222536i | ||||
\(945\) | −6.25288 | + | 27.2905i | −0.203406 | + | 0.887760i | ||||
\(946\) | 24.1071 | + | 19.7832i | 0.783789 | + | 0.643207i | ||||
\(947\) | 34.8806 | + | 20.1383i | 1.13347 | + | 0.654407i | 0.944804 | − | 0.327635i | \(-0.106252\pi\) |
0.188662 | + | 0.982042i | \(0.439585\pi\) | |||||||
\(948\) | −38.2893 | − | 43.6562i | −1.24358 | − | 1.41789i | ||||
\(949\) | −7.30383 | + | 4.21687i | −0.237092 | + | 0.136885i | ||||
\(950\) | 11.5910 | + | 45.6682i | 0.376060 | + | 1.48167i | ||||
\(951\) | −0.765564 | −0.0248251 | ||||||||
\(952\) | −22.3867 | − | 9.42580i | −0.725557 | − | 0.305492i | ||||
\(953\) | − | 45.4230i | − | 1.47140i | −0.677309 | − | 0.735698i | \(-0.736854\pi\) | ||
0.677309 | − | 0.735698i | \(-0.263146\pi\) | |||||||
\(954\) | −0.00587463 | − | 0.0156074i | −0.000190198 | − | 0.000505307i | ||||
\(955\) | −30.0016 | − | 9.85969i | −0.970830 | − | 0.319052i | ||||
\(956\) | 33.1095 | + | 37.7504i | 1.07084 | + | 1.22093i | ||||
\(957\) | 16.4531 | + | 9.49917i | 0.531852 | + | 0.307065i | ||||
\(958\) | −30.8906 | + | 37.6422i | −0.998031 | + | 1.21617i | ||||
\(959\) | −2.04265 | − | 22.0715i | −0.0659605 | − | 0.712727i | ||||
\(960\) | −8.28624 | + | 32.1934i | −0.267437 | + | 1.03904i | ||||
\(961\) | 2.11656 | − | 3.66599i | 0.0682761 | − | 0.118258i | ||||
\(962\) | −0.357148 | + | 2.16355i | −0.0115149 | + | 0.0697556i | ||||
\(963\) | −7.28342 | + | 4.20508i | −0.234705 | + | 0.135507i | ||||
\(964\) | −1.26036 | + | 3.71350i | −0.0405934 | + | 0.119604i | ||||
\(965\) | −13.6660 | + | 12.2221i | −0.439925 | + | 0.393442i | ||||
\(966\) | 61.2048 | + | 4.37230i | 1.96923 | + | 0.140676i | ||||
\(967\) | −52.7807 | −1.69731 | −0.848656 | − | 0.528945i | \(-0.822588\pi\) | ||||
−0.848656 | + | 0.528945i | \(0.822588\pi\) | |||||||
\(968\) | 1.49555 | − | 0.930144i | 0.0480687 | − | 0.0298960i | ||||
\(969\) | −34.8075 | + | 20.0961i | −1.11818 | + | 0.645580i | ||||
\(970\) | 20.6405 | + | 32.4817i | 0.662727 | + | 1.04293i | ||||
\(971\) | −26.0287 | − | 15.0277i | −0.835300 | − | 0.482261i | 0.0203639 | − | 0.999793i | \(-0.493518\pi\) |
−0.855664 | + | 0.517532i | \(0.826851\pi\) | |||||||
\(972\) | 1.82378 | + | 9.16639i | 0.0584977 | + | 0.294012i | ||||
\(973\) | −24.3430 | − | 11.2030i | −0.780400 | − | 0.359151i | ||||
\(974\) | −0.749711 | + | 0.913571i | −0.0240223 | + | 0.0292727i | ||||
\(975\) | −3.68733 | + | 5.00411i | −0.118089 | + | 0.160260i | ||||
\(976\) | 5.69883 | + | 4.37198i | 0.182415 | + | 0.139944i | ||||
\(977\) | −36.9900 | + | 21.3562i | −1.18341 | + | 0.683245i | −0.956802 | − | 0.290740i | \(-0.906099\pi\) |
−0.226613 | + | 0.973985i | \(0.572765\pi\) | |||||||
\(978\) | −10.5812 | + | 3.98277i | −0.338348 | + | 0.127355i | ||||
\(979\) | − | 4.89820i | − | 0.156547i | ||||||
\(980\) | −31.2420 | + | 1.98489i | −0.997988 | + | 0.0634049i | ||||
\(981\) | − | 2.05710i | − | 0.0656781i | ||||||
\(982\) | −14.1038 | − | 37.4701i | −0.450071 | − | 1.19572i | ||||
\(983\) | 10.5472 | − | 6.08944i | 0.336404 | − | 0.194223i | −0.322277 | − | 0.946646i | \(-0.604448\pi\) |
0.658681 | + | 0.752423i | \(0.271115\pi\) | |||||||
\(984\) | 49.1133 | − | 1.61144i | 1.56567 | − | 0.0513708i | ||||
\(985\) | 14.5151 | − | 3.03434i | 0.462489 | − | 0.0966820i | ||||
\(986\) | 11.2615 | + | 9.24162i | 0.358640 | + | 0.294313i | ||||
\(987\) | −16.1328 | − | 7.42451i | −0.513512 | − | 0.236325i | ||||
\(988\) | −1.73969 | − | 8.74377i | −0.0553470 | − | 0.278176i | ||||
\(989\) | −52.3153 | − | 30.2043i | −1.66353 | − | 0.960440i | ||||
\(990\) | −2.47696 | − | 3.89797i | −0.0787231 | − | 0.123886i | ||||
\(991\) | 16.8998 | − | 9.75712i | 0.536841 | − | 0.309945i | −0.206957 | − | 0.978350i | \(-0.566356\pi\) |
0.743798 | + | 0.668405i | \(0.233023\pi\) | |||||||
\(992\) | −20.0091 | − | 21.3583i | −0.635291 | − | 0.678125i | ||||
\(993\) | −54.7348 | −1.73696 | ||||||||
\(994\) | 2.16915 | − | 30.3644i | 0.0688012 | − | 0.963101i | ||||
\(995\) | −5.31085 | − | 5.93830i | −0.168365 | − | 0.188257i | ||||
\(996\) | −23.2394 | − | 7.88745i | −0.736370 | − | 0.249923i | ||||
\(997\) | 25.7749 | − | 14.8811i | 0.816298 | − | 0.471290i | −0.0328401 | − | 0.999461i | \(-0.510455\pi\) |
0.849138 | + | 0.528171i | \(0.177122\pi\) | |||||||
\(998\) | −6.13706 | − | 1.01308i | −0.194265 | − | 0.0320684i | ||||
\(999\) | −5.48446 | + | 9.49936i | −0.173521 | + | 0.300547i |
(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 | 280.2.ba.b.19.16 | yes | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.719.32 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.19.25 | yes | 80 | |
7.3 | odd | 6 | inner | 280.2.ba.b.59.39 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.19.2 | ✓ | 80 | |
8.5 | even | 2 | 1120.2.bq.b.719.31 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.719.10 | 80 | |||
28.3 | even | 6 | 1120.2.bq.b.1039.9 | 80 | |||
35.24 | odd | 6 | inner | 280.2.ba.b.59.2 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.19.39 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.719.9 | 80 | |||
56.3 | even | 6 | inner | 280.2.ba.b.59.25 | yes | 80 | |
56.45 | odd | 6 | 1120.2.bq.b.1039.10 | 80 | |||
140.59 | even | 6 | 1120.2.bq.b.1039.31 | 80 | |||
280.59 | even | 6 | inner | 280.2.ba.b.59.16 | yes | 80 | |
280.269 | odd | 6 | 1120.2.bq.b.1039.32 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.2 | ✓ | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.19.16 | yes | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.19.25 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.19.39 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.59.2 | yes | 80 | 35.24 | odd | 6 | inner | |
280.2.ba.b.59.16 | yes | 80 | 280.59 | even | 6 | inner | |
280.2.ba.b.59.25 | yes | 80 | 56.3 | even | 6 | inner | |
280.2.ba.b.59.39 | yes | 80 | 7.3 | odd | 6 | inner | |
1120.2.bq.b.719.9 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.719.10 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.719.31 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.719.32 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.1039.9 | 80 | 28.3 | even | 6 | |||
1120.2.bq.b.1039.10 | 80 | 56.45 | odd | 6 | |||
1120.2.bq.b.1039.31 | 80 | 140.59 | even | 6 | |||
1120.2.bq.b.1039.32 | 80 | 280.269 | odd | 6 |