Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(481,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.481");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 13 x^{10} - 9 x^{9} + 60 x^{8} + x^{7} + 263 x^{6} + 823 x^{5} + 1931 x^{4} + 1170 x^{3} + 1340 x^{2} + 1000 x + 400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 481.1 | ||
Root | \(-0.781164 + 2.40418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.481 |
Dual form | 930.2.n.d.901.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | 0.809017 | + | 0.587785i | 0.467086 | + | 0.339358i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | −0.482786 | + | 1.48586i | −0.182476 | + | 0.561603i | −0.999896 | − | 0.0144391i | \(-0.995404\pi\) |
0.817420 | + | 0.576043i | \(0.195404\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.309017 | + | 0.951057i | 0.103006 | + | 0.317019i | ||||
\(10\) | 0.809017 | − | 0.587785i | 0.255834 | − | 0.185874i | ||||
\(11\) | 0.945865 | − | 2.91107i | 0.285189 | − | 0.877722i | −0.701153 | − | 0.713011i | \(-0.747331\pi\) |
0.986342 | − | 0.164711i | \(-0.0526690\pi\) | |||||||
\(12\) | 0.809017 | − | 0.587785i | 0.233543 | − | 0.169679i | ||||
\(13\) | −5.04097 | − | 3.66248i | −1.39811 | − | 1.01579i | −0.994919 | − | 0.100676i | \(-0.967899\pi\) |
−0.403195 | − | 0.915114i | \(-0.632101\pi\) | |||||||
\(14\) | −0.482786 | − | 1.48586i | −0.129030 | − | 0.397114i | ||||
\(15\) | −0.809017 | − | 0.587785i | −0.208887 | − | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −2.20421 | − | 6.78386i | −0.534600 | − | 1.64533i | −0.744513 | − | 0.667608i | \(-0.767318\pi\) |
0.209913 | − | 0.977720i | \(-0.432682\pi\) | |||||||
\(18\) | −0.809017 | − | 0.587785i | −0.190687 | − | 0.138542i | ||||
\(19\) | 5.71245 | − | 4.15034i | 1.31053 | − | 0.952153i | 0.310528 | − | 0.950564i | \(-0.399494\pi\) |
0.999999 | − | 0.00158911i | \(-0.000505829\pi\) | |||||||
\(20\) | −0.309017 | + | 0.951057i | −0.0690983 | + | 0.212663i | ||||
\(21\) | −1.26395 | + | 0.918314i | −0.275817 | + | 0.200393i | ||||
\(22\) | 0.945865 | + | 2.91107i | 0.201659 | + | 0.620643i | ||||
\(23\) | 0.457949 | + | 1.40942i | 0.0954890 | + | 0.293885i | 0.987381 | − | 0.158364i | \(-0.0506219\pi\) |
−0.891892 | + | 0.452249i | \(0.850622\pi\) | |||||||
\(24\) | −0.309017 | + | 0.951057i | −0.0630778 | + | 0.194134i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 6.23099 | 1.22200 | ||||||||
\(27\) | −0.309017 | + | 0.951057i | −0.0594703 | + | 0.183031i | ||||
\(28\) | 1.26395 | + | 0.918314i | 0.238864 | + | 0.173545i | ||||
\(29\) | −6.07561 | + | 4.41419i | −1.12821 | + | 0.819694i | −0.985434 | − | 0.170061i | \(-0.945604\pi\) |
−0.142778 | + | 0.989755i | \(0.545604\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 5.34781 | + | 1.54950i | 0.960495 | + | 0.278299i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 2.47631 | − | 1.79914i | 0.431070 | − | 0.313190i | ||||
\(34\) | 5.77070 | + | 4.19266i | 0.989667 | + | 0.719035i | ||||
\(35\) | 0.482786 | − | 1.48586i | 0.0816058 | − | 0.251157i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | −0.145898 | −0.0239855 | −0.0119927 | − | 0.999928i | \(-0.503818\pi\) | ||||
−0.0119927 | + | 0.999928i | \(0.503818\pi\) | |||||||
\(38\) | −2.18196 | + | 6.71539i | −0.353961 | + | 1.08938i | ||||
\(39\) | −1.92548 | − | 5.92602i | −0.308324 | − | 0.948923i | ||||
\(40\) | −0.309017 | − | 0.951057i | −0.0488599 | − | 0.150375i | ||||
\(41\) | 0.510889 | − | 0.371183i | 0.0797875 | − | 0.0579690i | −0.547176 | − | 0.837017i | \(-0.684297\pi\) |
0.626964 | + | 0.779048i | \(0.284297\pi\) | |||||||
\(42\) | 0.482786 | − | 1.48586i | 0.0744955 | − | 0.229274i | ||||
\(43\) | 7.05602 | − | 5.12650i | 1.07603 | − | 0.781784i | 0.0990464 | − | 0.995083i | \(-0.468421\pi\) |
0.976987 | + | 0.213299i | \(0.0684208\pi\) | |||||||
\(44\) | −2.47631 | − | 1.79914i | −0.373317 | − | 0.271231i | ||||
\(45\) | −0.309017 | − | 0.951057i | −0.0460655 | − | 0.141775i | ||||
\(46\) | −1.19893 | − | 0.871071i | −0.176772 | − | 0.128432i | ||||
\(47\) | −6.97476 | − | 5.06746i | −1.01737 | − | 0.739164i | −0.0516300 | − | 0.998666i | \(-0.516442\pi\) |
−0.965743 | + | 0.259502i | \(0.916442\pi\) | |||||||
\(48\) | −0.309017 | − | 0.951057i | −0.0446028 | − | 0.137273i | ||||
\(49\) | 3.68841 | + | 2.67979i | 0.526916 | + | 0.382827i | ||||
\(50\) | −0.809017 | + | 0.587785i | −0.114412 | + | 0.0831254i | ||||
\(51\) | 2.20421 | − | 6.78386i | 0.308651 | − | 0.949931i | ||||
\(52\) | −5.04097 | + | 3.66248i | −0.699057 | + | 0.507895i | ||||
\(53\) | −3.67237 | − | 11.3024i | −0.504439 | − | 1.55250i | −0.801711 | − | 0.597711i | \(-0.796077\pi\) |
0.297272 | − | 0.954793i | \(-0.403923\pi\) | |||||||
\(54\) | −0.309017 | − | 0.951057i | −0.0420519 | − | 0.129422i | ||||
\(55\) | −0.945865 | + | 2.91107i | −0.127540 | + | 0.392529i | ||||
\(56\) | −1.56233 | −0.208775 | ||||||||
\(57\) | 7.06098 | 0.935250 | ||||||||
\(58\) | 2.32067 | − | 7.14230i | 0.304720 | − | 0.937830i | ||||
\(59\) | −2.94172 | − | 2.13729i | −0.382980 | − | 0.278251i | 0.379593 | − | 0.925154i | \(-0.376064\pi\) |
−0.762573 | + | 0.646902i | \(0.776064\pi\) | |||||||
\(60\) | −0.809017 | + | 0.587785i | −0.104444 | + | 0.0758827i | ||||
\(61\) | 11.2548 | 1.44103 | 0.720515 | − | 0.693439i | \(-0.243905\pi\) | ||||
0.720515 | + | 0.693439i | \(0.243905\pi\) | |||||||
\(62\) | −5.23724 | + | 1.88979i | −0.665130 | + | 0.240003i | ||||
\(63\) | −1.56233 | −0.196835 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 5.04097 | + | 3.66248i | 0.625256 | + | 0.454275i | ||||
\(66\) | −0.945865 | + | 2.91107i | −0.116428 | + | 0.358328i | ||||
\(67\) | −6.16263 | −0.752885 | −0.376443 | − | 0.926440i | \(-0.622853\pi\) | ||||
−0.376443 | + | 0.926440i | \(0.622853\pi\) | |||||||
\(68\) | −7.13298 | −0.865000 | ||||||||
\(69\) | −0.457949 | + | 1.40942i | −0.0551306 | + | 0.169675i | ||||
\(70\) | 0.482786 | + | 1.48586i | 0.0577040 | + | 0.177595i | ||||
\(71\) | −1.16864 | − | 3.59670i | −0.138692 | − | 0.426850i | 0.857454 | − | 0.514561i | \(-0.172045\pi\) |
−0.996146 | + | 0.0877105i | \(0.972045\pi\) | |||||||
\(72\) | −0.809017 | + | 0.587785i | −0.0953436 | + | 0.0692712i | ||||
\(73\) | 4.45246 | − | 13.7033i | 0.521121 | − | 1.60385i | −0.250741 | − | 0.968054i | \(-0.580674\pi\) |
0.771861 | − | 0.635791i | \(-0.219326\pi\) | |||||||
\(74\) | 0.118034 | − | 0.0857567i | 0.0137212 | − | 0.00996902i | ||||
\(75\) | 0.809017 | + | 0.587785i | 0.0934172 | + | 0.0678716i | ||||
\(76\) | −2.18196 | − | 6.71539i | −0.250288 | − | 0.770308i | ||||
\(77\) | 3.86881 | + | 2.81085i | 0.440891 | + | 0.320326i | ||||
\(78\) | 5.04097 | + | 3.66248i | 0.570778 | + | 0.414694i | ||||
\(79\) | 1.21142 | + | 3.72835i | 0.136295 | + | 0.419473i | 0.995789 | − | 0.0916728i | \(-0.0292214\pi\) |
−0.859494 | + | 0.511145i | \(0.829221\pi\) | |||||||
\(80\) | 0.809017 | + | 0.587785i | 0.0904508 | + | 0.0657164i | ||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −0.195142 | + | 0.600586i | −0.0215499 | + | 0.0663236i | ||||
\(83\) | 2.65416 | − | 1.92836i | 0.291332 | − | 0.211665i | −0.432513 | − | 0.901628i | \(-0.642373\pi\) |
0.723845 | + | 0.689963i | \(0.242373\pi\) | |||||||
\(84\) | 0.482786 | + | 1.48586i | 0.0526763 | + | 0.162121i | ||||
\(85\) | 2.20421 | + | 6.78386i | 0.239080 | + | 0.735813i | ||||
\(86\) | −2.69516 | + | 8.29485i | −0.290627 | + | 0.894457i | ||||
\(87\) | −7.50986 | −0.805142 | ||||||||
\(88\) | 3.06088 | 0.326291 | ||||||||
\(89\) | −1.97058 | + | 6.06481i | −0.208881 | + | 0.642869i | 0.790651 | + | 0.612267i | \(0.209742\pi\) |
−0.999532 | + | 0.0306017i | \(0.990258\pi\) | |||||||
\(90\) | 0.809017 | + | 0.587785i | 0.0852779 | + | 0.0619580i | ||||
\(91\) | 7.87566 | − | 5.72200i | 0.825593 | − | 0.599829i | ||||
\(92\) | 1.48195 | 0.154504 | ||||||||
\(93\) | 3.41569 | + | 4.39694i | 0.354191 | + | 0.455941i | ||||
\(94\) | 8.62127 | 0.889216 | ||||||||
\(95\) | −5.71245 | + | 4.15034i | −0.586085 | + | 0.425816i | ||||
\(96\) | 0.809017 | + | 0.587785i | 0.0825700 | + | 0.0599906i | ||||
\(97\) | −4.33487 | + | 13.3414i | −0.440140 | + | 1.35461i | 0.447587 | + | 0.894240i | \(0.352283\pi\) |
−0.887727 | + | 0.460370i | \(0.847717\pi\) | |||||||
\(98\) | −4.55913 | −0.460542 | ||||||||
\(99\) | 3.06088 | 0.307630 | ||||||||
\(100\) | 0.309017 | − | 0.951057i | 0.0309017 | − | 0.0951057i | ||||
\(101\) | −1.26139 | − | 3.88216i | −0.125513 | − | 0.386290i | 0.868481 | − | 0.495722i | \(-0.165097\pi\) |
−0.993994 | + | 0.109433i | \(0.965097\pi\) | |||||||
\(102\) | 2.20421 | + | 6.78386i | 0.218249 | + | 0.671703i | ||||
\(103\) | −8.40457 | + | 6.10628i | −0.828127 | + | 0.601670i | −0.919029 | − | 0.394190i | \(-0.871025\pi\) |
0.0909018 | + | 0.995860i | \(0.471025\pi\) | |||||||
\(104\) | 1.92548 | − | 5.92602i | 0.188809 | − | 0.581094i | ||||
\(105\) | 1.26395 | − | 0.918314i | 0.123349 | − | 0.0896183i | ||||
\(106\) | 9.61440 | + | 6.98527i | 0.933833 | + | 0.678469i | ||||
\(107\) | 3.15650 | + | 9.71470i | 0.305150 | + | 0.939155i | 0.979621 | + | 0.200854i | \(0.0643717\pi\) |
−0.674471 | + | 0.738301i | \(0.735628\pi\) | |||||||
\(108\) | 0.809017 | + | 0.587785i | 0.0778477 | + | 0.0565597i | ||||
\(109\) | −11.8925 | − | 8.64043i | −1.13910 | − | 0.827603i | −0.152105 | − | 0.988364i | \(-0.548605\pi\) |
−0.986993 | + | 0.160761i | \(0.948605\pi\) | |||||||
\(110\) | −0.945865 | − | 2.91107i | −0.0901847 | − | 0.277560i | ||||
\(111\) | −0.118034 | − | 0.0857567i | −0.0112033 | − | 0.00813967i | ||||
\(112\) | 1.26395 | − | 0.918314i | 0.119432 | − | 0.0867725i | ||||
\(113\) | 4.25391 | − | 13.0922i | 0.400174 | − | 1.23161i | −0.524684 | − | 0.851297i | \(-0.675816\pi\) |
0.924858 | − | 0.380313i | \(-0.124184\pi\) | |||||||
\(114\) | −5.71245 | + | 4.15034i | −0.535020 | + | 0.388715i | ||||
\(115\) | −0.457949 | − | 1.40942i | −0.0427040 | − | 0.131429i | ||||
\(116\) | 2.32067 | + | 7.14230i | 0.215469 | + | 0.663146i | ||||
\(117\) | 1.92548 | − | 5.92602i | 0.178011 | − | 0.547861i | ||||
\(118\) | 3.63617 | 0.334737 | ||||||||
\(119\) | 11.1441 | 1.02157 | ||||||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | 1.31950 | + | 0.958674i | 0.119955 | + | 0.0871521i | ||||
\(122\) | −9.10533 | + | 6.61541i | −0.824358 | + | 0.598931i | ||||
\(123\) | 0.631494 | 0.0569399 | ||||||||
\(124\) | 3.12623 | − | 4.60724i | 0.280744 | − | 0.413743i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 1.26395 | − | 0.918314i | 0.112602 | − | 0.0818099i | ||||
\(127\) | 6.67485 | + | 4.84956i | 0.592297 | + | 0.430329i | 0.843136 | − | 0.537700i | \(-0.180707\pi\) |
−0.250839 | + | 0.968029i | \(0.580707\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 8.72172 | 0.767905 | ||||||||
\(130\) | −6.23099 | −0.546494 | ||||||||
\(131\) | 4.00580 | − | 12.3286i | 0.349988 | − | 1.07715i | −0.608871 | − | 0.793269i | \(-0.708377\pi\) |
0.958859 | − | 0.283883i | \(-0.0916228\pi\) | |||||||
\(132\) | −0.945865 | − | 2.91107i | −0.0823270 | − | 0.253376i | ||||
\(133\) | 3.40894 | + | 10.4917i | 0.295593 | + | 0.909741i | ||||
\(134\) | 4.98567 | − | 3.62230i | 0.430697 | − | 0.312919i | ||||
\(135\) | 0.309017 | − | 0.951057i | 0.0265959 | − | 0.0818539i | ||||
\(136\) | 5.77070 | − | 4.19266i | 0.494833 | − | 0.359517i | ||||
\(137\) | 0.318811 | + | 0.231630i | 0.0272379 | + | 0.0197895i | 0.601321 | − | 0.799008i | \(-0.294641\pi\) |
−0.574083 | + | 0.818797i | \(0.694641\pi\) | |||||||
\(138\) | −0.457949 | − | 1.40942i | −0.0389832 | − | 0.119978i | ||||
\(139\) | −13.2441 | − | 9.62242i | −1.12335 | − | 0.816163i | −0.138638 | − | 0.990343i | \(-0.544273\pi\) |
−0.984714 | + | 0.174180i | \(0.944273\pi\) | |||||||
\(140\) | −1.26395 | − | 0.918314i | −0.106823 | − | 0.0776117i | ||||
\(141\) | −2.66412 | − | 8.19932i | −0.224359 | − | 0.690507i | ||||
\(142\) | 3.05954 | + | 2.22288i | 0.256751 | + | 0.186540i | ||||
\(143\) | −15.4298 | + | 11.2104i | −1.29031 | + | 0.937463i | ||||
\(144\) | 0.309017 | − | 0.951057i | 0.0257514 | − | 0.0792547i | ||||
\(145\) | 6.07561 | − | 4.41419i | 0.504552 | − | 0.366578i | ||||
\(146\) | 4.45246 | + | 13.7033i | 0.368488 | + | 1.13409i | ||||
\(147\) | 1.40885 | + | 4.33599i | 0.116200 | + | 0.357626i | ||||
\(148\) | −0.0450850 | + | 0.138757i | −0.00370596 | + | 0.0114058i | ||||
\(149\) | 8.72415 | 0.714710 | 0.357355 | − | 0.933969i | \(-0.383679\pi\) | ||||
0.357355 | + | 0.933969i | \(0.383679\pi\) | |||||||
\(150\) | −1.00000 | −0.0816497 | ||||||||
\(151\) | 5.43249 | − | 16.7195i | 0.442090 | − | 1.36061i | −0.443554 | − | 0.896248i | \(-0.646282\pi\) |
0.885644 | − | 0.464365i | \(-0.153718\pi\) | |||||||
\(152\) | 5.71245 | + | 4.15034i | 0.463341 | + | 0.336637i | ||||
\(153\) | 5.77070 | − | 4.19266i | 0.466533 | − | 0.338956i | ||||
\(154\) | −4.78211 | −0.385353 | ||||||||
\(155\) | −5.34781 | − | 1.54950i | −0.429546 | − | 0.124459i | ||||
\(156\) | −6.23099 | −0.498878 | ||||||||
\(157\) | −7.39870 | + | 5.37547i | −0.590480 | + | 0.429009i | −0.842487 | − | 0.538716i | \(-0.818909\pi\) |
0.252007 | + | 0.967725i | \(0.418909\pi\) | |||||||
\(158\) | −3.17153 | − | 2.30425i | −0.252313 | − | 0.183316i | ||||
\(159\) | 3.67237 | − | 11.3024i | 0.291238 | − | 0.896339i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −2.31530 | −0.182471 | ||||||||
\(162\) | 0.309017 | − | 0.951057i | 0.0242787 | − | 0.0747221i | ||||
\(163\) | −1.30056 | − | 4.00271i | −0.101868 | − | 0.313517i | 0.887115 | − | 0.461549i | \(-0.152706\pi\) |
−0.988983 | + | 0.148032i | \(0.952706\pi\) | |||||||
\(164\) | −0.195142 | − | 0.600586i | −0.0152380 | − | 0.0468979i | ||||
\(165\) | −2.47631 | + | 1.79914i | −0.192780 | + | 0.140063i | ||||
\(166\) | −1.01380 | + | 3.12015i | −0.0786860 | + | 0.242171i | ||||
\(167\) | −0.584088 | + | 0.424365i | −0.0451981 | + | 0.0328383i | −0.610155 | − | 0.792282i | \(-0.708893\pi\) |
0.564957 | + | 0.825120i | \(0.308893\pi\) | |||||||
\(168\) | −1.26395 | − | 0.918314i | −0.0975159 | − | 0.0708495i | ||||
\(169\) | 7.98043 | + | 24.5612i | 0.613879 | + | 1.88932i | ||||
\(170\) | −5.77070 | − | 4.19266i | −0.442592 | − | 0.321562i | ||||
\(171\) | 5.71245 | + | 4.15034i | 0.436842 | + | 0.317384i | ||||
\(172\) | −2.69516 | − | 8.29485i | −0.205504 | − | 0.632477i | ||||
\(173\) | 1.62481 | + | 1.18050i | 0.123532 | + | 0.0897514i | 0.647836 | − | 0.761780i | \(-0.275674\pi\) |
−0.524304 | + | 0.851531i | \(0.675674\pi\) | |||||||
\(174\) | 6.07561 | − | 4.41419i | 0.460590 | − | 0.334639i | ||||
\(175\) | −0.482786 | + | 1.48586i | −0.0364952 | + | 0.112321i | ||||
\(176\) | −2.47631 | + | 1.79914i | −0.186659 | + | 0.135615i | ||||
\(177\) | −1.12364 | − | 3.45820i | −0.0844579 | − | 0.259935i | ||||
\(178\) | −1.97058 | − | 6.06481i | −0.147701 | − | 0.454577i | ||||
\(179\) | −2.42434 | + | 7.46134i | −0.181203 | + | 0.557687i | −0.999862 | − | 0.0165932i | \(-0.994718\pi\) |
0.818659 | + | 0.574280i | \(0.194718\pi\) | |||||||
\(180\) | −1.00000 | −0.0745356 | ||||||||
\(181\) | −18.1308 | −1.34765 | −0.673827 | − | 0.738889i | \(-0.735351\pi\) | ||||
−0.673827 | + | 0.738889i | \(0.735351\pi\) | |||||||
\(182\) | −3.00823 | + | 9.25839i | −0.222985 | + | 0.686278i | ||||
\(183\) | 9.10533 | + | 6.61541i | 0.673085 | + | 0.489025i | ||||
\(184\) | −1.19893 | + | 0.871071i | −0.0883860 | + | 0.0642162i | ||||
\(185\) | 0.145898 | 0.0107266 | ||||||||
\(186\) | −5.34781 | − | 1.54950i | −0.392120 | − | 0.113615i | ||||
\(187\) | −21.8332 | −1.59660 | ||||||||
\(188\) | −6.97476 | + | 5.06746i | −0.508686 | + | 0.369582i | ||||
\(189\) | −1.26395 | − | 0.918314i | −0.0919389 | − | 0.0667975i | ||||
\(190\) | 2.18196 | − | 6.71539i | 0.158296 | − | 0.487186i | ||||
\(191\) | −19.8009 | −1.43274 | −0.716371 | − | 0.697720i | \(-0.754198\pi\) | ||||
−0.716371 | + | 0.697720i | \(0.754198\pi\) | |||||||
\(192\) | −1.00000 | −0.0721688 | ||||||||
\(193\) | −6.52687 | + | 20.0877i | −0.469815 | + | 1.44594i | 0.383010 | + | 0.923744i | \(0.374887\pi\) |
−0.852825 | + | 0.522197i | \(0.825113\pi\) | |||||||
\(194\) | −4.33487 | − | 13.3414i | −0.311226 | − | 0.957854i | ||||
\(195\) | 1.92548 | + | 5.92602i | 0.137887 | + | 0.424371i | ||||
\(196\) | 3.68841 | − | 2.67979i | 0.263458 | − | 0.191413i | ||||
\(197\) | −7.02740 | + | 21.6281i | −0.500681 | + | 1.54094i | 0.307230 | + | 0.951635i | \(0.400598\pi\) |
−0.807912 | + | 0.589304i | \(0.799402\pi\) | |||||||
\(198\) | −2.47631 | + | 1.79914i | −0.175983 | + | 0.127859i | ||||
\(199\) | −5.99062 | − | 4.35244i | −0.424664 | − | 0.308536i | 0.354848 | − | 0.934924i | \(-0.384533\pi\) |
−0.779512 | + | 0.626388i | \(0.784533\pi\) | |||||||
\(200\) | 0.309017 | + | 0.951057i | 0.0218508 | + | 0.0672499i | ||||
\(201\) | −4.98567 | − | 3.62230i | −0.351662 | − | 0.255498i | ||||
\(202\) | 3.30237 | + | 2.39931i | 0.232354 | + | 0.168815i | ||||
\(203\) | −3.62566 | − | 11.1586i | −0.254471 | − | 0.783182i | ||||
\(204\) | −5.77070 | − | 4.19266i | −0.404030 | − | 0.293545i | ||||
\(205\) | −0.510889 | + | 0.371183i | −0.0356820 | + | 0.0259245i | ||||
\(206\) | 3.21026 | − | 9.88017i | 0.223669 | − | 0.688384i | ||||
\(207\) | −1.19893 | + | 0.871071i | −0.0833312 | + | 0.0605436i | ||||
\(208\) | 1.92548 | + | 5.92602i | 0.133508 | + | 0.410896i | ||||
\(209\) | −6.67873 | − | 20.5550i | −0.461978 | − | 1.42182i | ||||
\(210\) | −0.482786 | + | 1.48586i | −0.0333154 | + | 0.102534i | ||||
\(211\) | −4.07178 | −0.280313 | −0.140157 | − | 0.990129i | \(-0.544761\pi\) | ||||
−0.140157 | + | 0.990129i | \(0.544761\pi\) | |||||||
\(212\) | −11.8840 | −0.816200 | ||||||||
\(213\) | 1.16864 | − | 3.59670i | 0.0800739 | − | 0.246442i | ||||
\(214\) | −8.26381 | − | 6.00401i | −0.564903 | − | 0.410426i | ||||
\(215\) | −7.05602 | + | 5.12650i | −0.481217 | + | 0.349624i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −4.88420 | + | 7.19803i | −0.331561 | + | 0.488634i | ||||
\(218\) | 14.7000 | 0.995608 | ||||||||
\(219\) | 11.6567 | − | 8.46908i | 0.787686 | − | 0.572287i | ||||
\(220\) | 2.47631 | + | 1.79914i | 0.166953 | + | 0.121298i | ||||
\(221\) | −13.7344 | + | 42.2702i | −0.923876 | + | 2.84340i | ||||
\(222\) | 0.145898 | 0.00979203 | ||||||||
\(223\) | 19.6521 | 1.31600 | 0.658000 | − | 0.753018i | \(-0.271403\pi\) | ||||
0.658000 | + | 0.753018i | \(0.271403\pi\) | |||||||
\(224\) | −0.482786 | + | 1.48586i | −0.0322575 | + | 0.0992784i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | 4.25391 | + | 13.0922i | 0.282966 | + | 0.870880i | ||||
\(227\) | −19.6412 | + | 14.2702i | −1.30363 | + | 0.947145i | −0.999984 | − | 0.00563890i | \(-0.998205\pi\) |
−0.303649 | + | 0.952784i | \(0.598205\pi\) | |||||||
\(228\) | 2.18196 | − | 6.71539i | 0.144504 | − | 0.444738i | ||||
\(229\) | 20.3631 | − | 14.7946i | 1.34563 | − | 0.977657i | 0.346413 | − | 0.938082i | \(-0.387400\pi\) |
0.999217 | − | 0.0395751i | \(-0.0126004\pi\) | |||||||
\(230\) | 1.19893 | + | 0.871071i | 0.0790549 | + | 0.0574367i | ||||
\(231\) | 1.47775 | + | 4.54805i | 0.0972290 | + | 0.299240i | ||||
\(232\) | −6.07561 | − | 4.41419i | −0.398883 | − | 0.289805i | ||||
\(233\) | −2.27586 | − | 1.65351i | −0.149096 | − | 0.108325i | 0.510736 | − | 0.859737i | \(-0.329373\pi\) |
−0.659833 | + | 0.751413i | \(0.729373\pi\) | |||||||
\(234\) | 1.92548 | + | 5.92602i | 0.125873 | + | 0.387396i | ||||
\(235\) | 6.97476 | + | 5.06746i | 0.454983 | + | 0.330564i | ||||
\(236\) | −2.94172 | + | 2.13729i | −0.191490 | + | 0.139126i | ||||
\(237\) | −1.21142 | + | 3.72835i | −0.0786899 | + | 0.242183i | ||||
\(238\) | −9.01573 | + | 6.55031i | −0.584403 | + | 0.424594i | ||||
\(239\) | 6.50773 | + | 20.0287i | 0.420950 | + | 1.29555i | 0.906820 | + | 0.421519i | \(0.138503\pi\) |
−0.485870 | + | 0.874031i | \(0.661497\pi\) | |||||||
\(240\) | 0.309017 | + | 0.951057i | 0.0199470 | + | 0.0613904i | ||||
\(241\) | 0.00164170 | − | 0.00505264i | 0.000105751 | − | 0.000325469i | −0.951004 | − | 0.309180i | \(-0.899946\pi\) |
0.951109 | + | 0.308854i | \(0.0999455\pi\) | |||||||
\(242\) | −1.63099 | −0.104844 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 3.47793 | − | 10.7040i | 0.222651 | − | 0.685250i | ||||
\(245\) | −3.68841 | − | 2.67979i | −0.235644 | − | 0.171205i | ||||
\(246\) | −0.510889 | + | 0.371183i | −0.0325731 | + | 0.0236657i | ||||
\(247\) | −43.9969 | −2.79945 | ||||||||
\(248\) | 0.178899 | + | 5.56489i | 0.0113601 | + | 0.353371i | ||||
\(249\) | 3.28072 | 0.207907 | ||||||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | 4.38998 | + | 3.18950i | 0.277093 | + | 0.201320i | 0.717648 | − | 0.696406i | \(-0.245219\pi\) |
−0.440556 | + | 0.897725i | \(0.645219\pi\) | |||||||
\(252\) | −0.482786 | + | 1.48586i | −0.0304127 | + | 0.0936006i | ||||
\(253\) | 4.53609 | 0.285182 | ||||||||
\(254\) | −8.25056 | −0.517686 | ||||||||
\(255\) | −2.20421 | + | 6.78386i | −0.138033 | + | 0.424822i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −2.93485 | − | 9.03252i | −0.183071 | − | 0.563433i | 0.816839 | − | 0.576865i | \(-0.195724\pi\) |
−0.999910 | + | 0.0134321i | \(0.995724\pi\) | |||||||
\(258\) | −7.05602 | + | 5.12650i | −0.439289 | + | 0.319162i | ||||
\(259\) | 0.0704376 | − | 0.216784i | 0.00437678 | − | 0.0134703i | ||||
\(260\) | 5.04097 | − | 3.66248i | 0.312628 | − | 0.227138i | ||||
\(261\) | −6.07561 | − | 4.41419i | −0.376071 | − | 0.273231i | ||||
\(262\) | 4.00580 | + | 12.3286i | 0.247479 | + | 0.761662i | ||||
\(263\) | 21.7705 | + | 15.8172i | 1.34243 | + | 0.975330i | 0.999351 | + | 0.0360226i | \(0.0114688\pi\) |
0.343076 | + | 0.939308i | \(0.388531\pi\) | |||||||
\(264\) | 2.47631 | + | 1.79914i | 0.152406 | + | 0.110730i | ||||
\(265\) | 3.67237 | + | 11.3024i | 0.225592 | + | 0.694301i | ||||
\(266\) | −8.92473 | − | 6.48420i | −0.547210 | − | 0.397572i | ||||
\(267\) | −5.15904 | + | 3.74826i | −0.315728 | + | 0.229390i | ||||
\(268\) | −1.90436 | + | 5.86101i | −0.116327 | + | 0.358018i | ||||
\(269\) | 7.49025 | − | 5.44198i | 0.456688 | − | 0.331804i | −0.335542 | − | 0.942025i | \(-0.608920\pi\) |
0.792231 | + | 0.610222i | \(0.208920\pi\) | |||||||
\(270\) | 0.309017 | + | 0.951057i | 0.0188062 | + | 0.0578795i | ||||
\(271\) | −0.620319 | − | 1.90915i | −0.0376817 | − | 0.115972i | 0.930446 | − | 0.366428i | \(-0.119419\pi\) |
−0.968128 | + | 0.250456i | \(0.919419\pi\) | |||||||
\(272\) | −2.20421 | + | 6.78386i | −0.133650 | + | 0.411332i | ||||
\(273\) | 9.73485 | 0.589180 | ||||||||
\(274\) | −0.394072 | −0.0238068 | ||||||||
\(275\) | 0.945865 | − | 2.91107i | 0.0570378 | − | 0.175544i | ||||
\(276\) | 1.19893 | + | 0.871071i | 0.0721669 | + | 0.0524323i | ||||
\(277\) | 22.6245 | − | 16.4377i | 1.35938 | − | 0.987645i | 0.360893 | − | 0.932607i | \(-0.382472\pi\) |
0.998484 | − | 0.0550378i | \(-0.0175279\pi\) | |||||||
\(278\) | 16.3706 | 0.981846 | ||||||||
\(279\) | 0.178899 | + | 5.56489i | 0.0107104 | + | 0.333161i | ||||
\(280\) | 1.56233 | 0.0933670 | ||||||||
\(281\) | 15.4684 | − | 11.2385i | 0.922769 | − | 0.670431i | −0.0214429 | − | 0.999770i | \(-0.506826\pi\) |
0.944212 | + | 0.329339i | \(0.106826\pi\) | |||||||
\(282\) | 6.97476 | + | 5.06746i | 0.415341 | + | 0.301763i | ||||
\(283\) | 8.26050 | − | 25.4232i | 0.491036 | − | 1.51125i | −0.332009 | − | 0.943276i | \(-0.607727\pi\) |
0.823045 | − | 0.567976i | \(-0.192273\pi\) | |||||||
\(284\) | −3.78180 | −0.224408 | ||||||||
\(285\) | −7.06098 | −0.418256 | ||||||||
\(286\) | 5.89367 | − | 18.1389i | 0.348500 | − | 1.07257i | ||||
\(287\) | 0.304876 | + | 0.938313i | 0.0179963 | + | 0.0553869i | ||||
\(288\) | 0.309017 | + | 0.951057i | 0.0182090 | + | 0.0560415i | ||||
\(289\) | −27.4090 | + | 19.9138i | −1.61229 | + | 1.17140i | ||||
\(290\) | −2.32067 | + | 7.14230i | −0.136275 | + | 0.419410i | ||||
\(291\) | −11.3488 | + | 8.24542i | −0.665281 | + | 0.483355i | ||||
\(292\) | −11.6567 | − | 8.46908i | −0.682156 | − | 0.495615i | ||||
\(293\) | 3.58864 | + | 11.0447i | 0.209651 | + | 0.645238i | 0.999490 | + | 0.0319248i | \(0.0101637\pi\) |
−0.789840 | + | 0.613313i | \(0.789836\pi\) | |||||||
\(294\) | −3.68841 | − | 2.67979i | −0.215113 | − | 0.156288i | ||||
\(295\) | 2.94172 | + | 2.13729i | 0.171274 | + | 0.124438i | ||||
\(296\) | −0.0450850 | − | 0.138757i | −0.00262051 | − | 0.00806510i | ||||
\(297\) | 2.47631 | + | 1.79914i | 0.143690 | + | 0.104397i | ||||
\(298\) | −7.05799 | + | 5.12793i | −0.408858 | + | 0.297053i | ||||
\(299\) | 2.85348 | − | 8.78209i | 0.165021 | − | 0.507882i | ||||
\(300\) | 0.809017 | − | 0.587785i | 0.0467086 | − | 0.0339358i | ||||
\(301\) | 4.21073 | + | 12.9593i | 0.242702 | + | 0.746961i | ||||
\(302\) | 5.43249 | + | 16.7195i | 0.312605 | + | 0.962099i | ||||
\(303\) | 1.26139 | − | 3.88216i | 0.0724651 | − | 0.223024i | ||||
\(304\) | −7.06098 | −0.404975 | ||||||||
\(305\) | −11.2548 | −0.644448 | ||||||||
\(306\) | −2.20421 | + | 6.78386i | −0.126006 | + | 0.387808i | ||||
\(307\) | −13.3480 | − | 9.69790i | −0.761812 | − | 0.553489i | 0.137654 | − | 0.990480i | \(-0.456044\pi\) |
−0.899465 | + | 0.436992i | \(0.856044\pi\) | |||||||
\(308\) | 3.86881 | − | 2.81085i | 0.220446 | − | 0.160163i | ||||
\(309\) | −10.3886 | −0.590988 | ||||||||
\(310\) | 5.23724 | − | 1.88979i | 0.297455 | − | 0.107333i | ||||
\(311\) | 3.47195 | 0.196876 | 0.0984380 | − | 0.995143i | \(-0.468615\pi\) | ||||
0.0984380 | + | 0.995143i | \(0.468615\pi\) | |||||||
\(312\) | 5.04097 | − | 3.66248i | 0.285389 | − | 0.207347i | ||||
\(313\) | −6.74389 | − | 4.89972i | −0.381187 | − | 0.276949i | 0.380648 | − | 0.924720i | \(-0.375701\pi\) |
−0.761835 | + | 0.647772i | \(0.775701\pi\) | |||||||
\(314\) | 2.82605 | − | 8.69769i | 0.159483 | − | 0.490839i | ||||
\(315\) | 1.56233 | 0.0880273 | ||||||||
\(316\) | 3.92022 | 0.220530 | ||||||||
\(317\) | 2.99288 | − | 9.21114i | 0.168097 | − | 0.517349i | −0.831154 | − | 0.556042i | \(-0.812319\pi\) |
0.999251 | + | 0.0386928i | \(0.0123194\pi\) | |||||||
\(318\) | 3.67237 | + | 11.3024i | 0.205936 | + | 0.633807i | ||||
\(319\) | 7.10331 | + | 21.8618i | 0.397709 | + | 1.22402i | ||||
\(320\) | 0.809017 | − | 0.587785i | 0.0452254 | − | 0.0328582i | ||||
\(321\) | −3.15650 | + | 9.71470i | −0.176178 | + | 0.542221i | ||||
\(322\) | 1.87312 | − | 1.36090i | 0.104385 | − | 0.0758400i | ||||
\(323\) | −40.7468 | − | 29.6043i | −2.26721 | − | 1.64723i | ||||
\(324\) | 0.309017 | + | 0.951057i | 0.0171676 | + | 0.0528365i | ||||
\(325\) | −5.04097 | − | 3.66248i | −0.279623 | − | 0.203158i | ||||
\(326\) | 3.40491 | + | 2.47381i | 0.188580 | + | 0.137012i | ||||
\(327\) | −4.54254 | − | 13.9805i | −0.251203 | − | 0.773124i | ||||
\(328\) | 0.510889 | + | 0.371183i | 0.0282091 | + | 0.0204951i | ||||
\(329\) | 10.8969 | − | 7.91703i | 0.600763 | − | 0.436480i | ||||
\(330\) | 0.945865 | − | 2.91107i | 0.0520682 | − | 0.160249i | ||||
\(331\) | −15.8268 | + | 11.4989i | −0.869921 | + | 0.632035i | −0.930566 | − | 0.366125i | \(-0.880684\pi\) |
0.0606446 | + | 0.998159i | \(0.480684\pi\) | |||||||
\(332\) | −1.01380 | − | 3.12015i | −0.0556394 | − | 0.171241i | ||||
\(333\) | −0.0450850 | − | 0.138757i | −0.00247064 | − | 0.00760385i | ||||
\(334\) | 0.223102 | − | 0.686637i | 0.0122076 | − | 0.0375711i | ||||
\(335\) | 6.16263 | 0.336701 | ||||||||
\(336\) | 1.56233 | 0.0852320 | ||||||||
\(337\) | −7.91353 | + | 24.3554i | −0.431078 | + | 1.32672i | 0.465975 | + | 0.884798i | \(0.345704\pi\) |
−0.897053 | + | 0.441923i | \(0.854296\pi\) | |||||||
\(338\) | −20.8930 | − | 15.1797i | −1.13643 | − | 0.825665i | ||||
\(339\) | 11.1369 | − | 8.09142i | 0.604873 | − | 0.439466i | ||||
\(340\) | 7.13298 | 0.386840 | ||||||||
\(341\) | 9.56902 | − | 14.1022i | 0.518191 | − | 0.763679i | ||||
\(342\) | −7.06098 | −0.381814 | ||||||||
\(343\) | −14.6102 | + | 10.6149i | −0.788875 | + | 0.573151i | ||||
\(344\) | 7.05602 | + | 5.12650i | 0.380435 | + | 0.276402i | ||||
\(345\) | 0.457949 | − | 1.40942i | 0.0246552 | − | 0.0758808i | ||||
\(346\) | −2.00838 | −0.107971 | ||||||||
\(347\) | 24.2157 | 1.29997 | 0.649984 | − | 0.759947i | \(-0.274775\pi\) | ||||
0.649984 | + | 0.759947i | \(0.274775\pi\) | |||||||
\(348\) | −2.32067 | + | 7.14230i | −0.124401 | + | 0.382868i | ||||
\(349\) | 7.39056 | + | 22.7458i | 0.395608 | + | 1.21756i | 0.928487 | + | 0.371364i | \(0.121110\pi\) |
−0.532879 | + | 0.846191i | \(0.678890\pi\) | |||||||
\(350\) | −0.482786 | − | 1.48586i | −0.0258060 | − | 0.0794227i | ||||
\(351\) | 5.04097 | − | 3.66248i | 0.269067 | − | 0.195489i | ||||
\(352\) | 0.945865 | − | 2.91107i | 0.0504148 | − | 0.155161i | ||||
\(353\) | 0.558968 | − | 0.406114i | 0.0297509 | − | 0.0216153i | −0.572810 | − | 0.819688i | \(-0.694147\pi\) |
0.602561 | + | 0.798073i | \(0.294147\pi\) | |||||||
\(354\) | 2.94172 | + | 2.13729i | 0.156351 | + | 0.113596i | ||||
\(355\) | 1.16864 | + | 3.59670i | 0.0620249 | + | 0.190893i | ||||
\(356\) | 5.15904 | + | 3.74826i | 0.273428 | + | 0.198657i | ||||
\(357\) | 9.01573 | + | 6.55031i | 0.477163 | + | 0.346679i | ||||
\(358\) | −2.42434 | − | 7.46134i | −0.128130 | − | 0.394344i | ||||
\(359\) | −3.09155 | − | 2.24614i | −0.163166 | − | 0.118547i | 0.503206 | − | 0.864166i | \(-0.332154\pi\) |
−0.666372 | + | 0.745620i | \(0.732154\pi\) | |||||||
\(360\) | 0.809017 | − | 0.587785i | 0.0426389 | − | 0.0309790i | ||||
\(361\) | 9.53548 | − | 29.3472i | 0.501867 | − | 1.54459i | ||||
\(362\) | 14.6681 | − | 10.6570i | 0.770941 | − | 0.560121i | ||||
\(363\) | 0.504005 | + | 1.55117i | 0.0264534 | + | 0.0814151i | ||||
\(364\) | −3.00823 | − | 9.25839i | −0.157674 | − | 0.485272i | ||||
\(365\) | −4.45246 | + | 13.7033i | −0.233052 | + | 0.717261i | ||||
\(366\) | −11.2548 | −0.588298 | ||||||||
\(367\) | −27.3527 | −1.42780 | −0.713900 | − | 0.700247i | \(-0.753073\pi\) | ||||
−0.713900 | + | 0.700247i | \(0.753073\pi\) | |||||||
\(368\) | 0.457949 | − | 1.40942i | 0.0238723 | − | 0.0734712i | ||||
\(369\) | 0.510889 | + | 0.371183i | 0.0265958 | + | 0.0193230i | ||||
\(370\) | −0.118034 | + | 0.0857567i | −0.00613629 | + | 0.00445828i | ||||
\(371\) | 18.5668 | 0.963940 | ||||||||
\(372\) | 5.23724 | − | 1.88979i | 0.271538 | − | 0.0979810i | ||||
\(373\) | 6.21206 | 0.321648 | 0.160824 | − | 0.986983i | \(-0.448585\pi\) | ||||
0.160824 | + | 0.986983i | \(0.448585\pi\) | |||||||
\(374\) | 17.6634 | − | 12.8332i | 0.913355 | − | 0.663591i | ||||
\(375\) | −0.809017 | − | 0.587785i | −0.0417775 | − | 0.0303531i | ||||
\(376\) | 2.66412 | − | 8.19932i | 0.137391 | − | 0.422847i | ||||
\(377\) | 46.7938 | 2.41001 | ||||||||
\(378\) | 1.56233 | 0.0803575 | ||||||||
\(379\) | −0.189287 | + | 0.582564i | −0.00972300 | + | 0.0299243i | −0.955800 | − | 0.294017i | \(-0.905008\pi\) |
0.946077 | + | 0.323941i | \(0.105008\pi\) | |||||||
\(380\) | 2.18196 | + | 6.71539i | 0.111932 | + | 0.344492i | ||||
\(381\) | 2.54956 | + | 7.84675i | 0.130618 | + | 0.402001i | ||||
\(382\) | 16.0192 | − | 11.6387i | 0.819616 | − | 0.595486i | ||||
\(383\) | −6.06165 | + | 18.6558i | −0.309736 | + | 0.953268i | 0.668132 | + | 0.744043i | \(0.267094\pi\) |
−0.977867 | + | 0.209225i | \(0.932906\pi\) | |||||||
\(384\) | 0.809017 | − | 0.587785i | 0.0412850 | − | 0.0299953i | ||||
\(385\) | −3.86881 | − | 2.81085i | −0.197173 | − | 0.143254i | ||||
\(386\) | −6.52687 | − | 20.0877i | −0.332209 | − | 1.02243i | ||||
\(387\) | 7.05602 | + | 5.12650i | 0.358678 | + | 0.260595i | ||||
\(388\) | 11.3488 | + | 8.24542i | 0.576150 | + | 0.418598i | ||||
\(389\) | −1.07478 | − | 3.30783i | −0.0544935 | − | 0.167714i | 0.920106 | − | 0.391670i | \(-0.128103\pi\) |
−0.974599 | + | 0.223957i | \(0.928103\pi\) | |||||||
\(390\) | −5.04097 | − | 3.66248i | −0.255260 | − | 0.185457i | ||||
\(391\) | 8.55191 | − | 6.21333i | 0.432489 | − | 0.314222i | ||||
\(392\) | −1.40885 | + | 4.33599i | −0.0711576 | + | 0.219001i | ||||
\(393\) | 10.4873 | − | 7.61948i | 0.529015 | − | 0.384352i | ||||
\(394\) | −7.02740 | − | 21.6281i | −0.354035 | − | 1.08961i | ||||
\(395\) | −1.21142 | − | 3.72835i | −0.0609529 | − | 0.187594i | ||||
\(396\) | 0.945865 | − | 2.91107i | 0.0475315 | − | 0.146287i | ||||
\(397\) | 27.8724 | 1.39888 | 0.699438 | − | 0.714693i | \(-0.253434\pi\) | ||||
0.699438 | + | 0.714693i | \(0.253434\pi\) | |||||||
\(398\) | 7.40481 | 0.371170 | ||||||||
\(399\) | −3.40894 | + | 10.4917i | −0.170661 | + | 0.525239i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 1.69825 | − | 1.23385i | 0.0848065 | − | 0.0616155i | −0.544574 | − | 0.838713i | \(-0.683309\pi\) |
0.629381 | + | 0.777097i | \(0.283309\pi\) | |||||||
\(402\) | 6.16263 | 0.307364 | ||||||||
\(403\) | −21.2831 | − | 27.3973i | −1.06019 | − | 1.36475i | ||||
\(404\) | −4.08195 | −0.203085 | ||||||||
\(405\) | 0.809017 | − | 0.587785i | 0.0402004 | − | 0.0292073i | ||||
\(406\) | 9.49209 | + | 6.89641i | 0.471085 | + | 0.342263i | ||||
\(407\) | −0.138000 | + | 0.424720i | −0.00684040 | + | 0.0210526i | ||||
\(408\) | 7.13298 | 0.353135 | ||||||||
\(409\) | 30.2260 | 1.49458 | 0.747291 | − | 0.664497i | \(-0.231354\pi\) | ||||
0.747291 | + | 0.664497i | \(0.231354\pi\) | |||||||
\(410\) | 0.195142 | − | 0.600586i | 0.00963739 | − | 0.0296608i | ||||
\(411\) | 0.121775 | + | 0.374785i | 0.00600672 | + | 0.0184868i | ||||
\(412\) | 3.21026 | + | 9.88017i | 0.158158 | + | 0.486761i | ||||
\(413\) | 4.59594 | − | 3.33915i | 0.226151 | − | 0.164309i | ||||
\(414\) | 0.457949 | − | 1.40942i | 0.0225070 | − | 0.0692693i | ||||
\(415\) | −2.65416 | + | 1.92836i | −0.130288 | + | 0.0946594i | ||||
\(416\) | −5.04097 | − | 3.66248i | −0.247154 | − | 0.179568i | ||||
\(417\) | −5.05881 | − | 15.5694i | −0.247731 | − | 0.762437i | ||||
\(418\) | 17.4852 | + | 12.7037i | 0.855227 | + | 0.621359i | ||||
\(419\) | −2.20176 | − | 1.59967i | −0.107563 | − | 0.0781490i | 0.532704 | − | 0.846302i | \(-0.321176\pi\) |
−0.640266 | + | 0.768153i | \(0.721176\pi\) | |||||||
\(420\) | −0.482786 | − | 1.48586i | −0.0235576 | − | 0.0725027i | ||||
\(421\) | 6.32078 | + | 4.59232i | 0.308056 | + | 0.223816i | 0.731062 | − | 0.682311i | \(-0.239025\pi\) |
−0.423006 | + | 0.906127i | \(0.639025\pi\) | |||||||
\(422\) | 3.29414 | − | 2.39333i | 0.160356 | − | 0.116506i | ||||
\(423\) | 2.66412 | − | 8.19932i | 0.129534 | − | 0.398664i | ||||
\(424\) | 9.61440 | − | 6.98527i | 0.466916 | − | 0.339235i | ||||
\(425\) | −2.20421 | − | 6.78386i | −0.106920 | − | 0.329066i | ||||
\(426\) | 1.16864 | + | 3.59670i | 0.0566208 | + | 0.174261i | ||||
\(427\) | −5.43366 | + | 16.7231i | −0.262953 | + | 0.809287i | ||||
\(428\) | 10.2146 | 0.493743 | ||||||||
\(429\) | −19.0723 | −0.920821 | ||||||||
\(430\) | 2.69516 | − | 8.29485i | 0.129972 | − | 0.400013i | ||||
\(431\) | −22.9440 | − | 16.6698i | −1.10517 | − | 0.802954i | −0.123275 | − | 0.992372i | \(-0.539340\pi\) |
−0.981897 | + | 0.189418i | \(0.939340\pi\) | |||||||
\(432\) | 0.809017 | − | 0.587785i | 0.0389238 | − | 0.0282798i | ||||
\(433\) | −12.6166 | −0.606316 | −0.303158 | − | 0.952940i | \(-0.598041\pi\) | ||||
−0.303158 | + | 0.952940i | \(0.598041\pi\) | |||||||
\(434\) | −0.279499 | − | 8.69419i | −0.0134164 | − | 0.417334i | ||||
\(435\) | 7.50986 | 0.360070 | ||||||||
\(436\) | −11.8925 | + | 8.64043i | −0.569549 | + | 0.413802i | ||||
\(437\) | 8.46560 | + | 6.15062i | 0.404964 | + | 0.294224i | ||||
\(438\) | −4.45246 | + | 13.7033i | −0.212747 | + | 0.654767i | ||||
\(439\) | −16.8449 | −0.803961 | −0.401981 | − | 0.915648i | \(-0.631678\pi\) | ||||
−0.401981 | + | 0.915648i | \(0.631678\pi\) | |||||||
\(440\) | −3.06088 | −0.145922 | ||||||||
\(441\) | −1.40885 | + | 4.33599i | −0.0670880 | + | 0.206476i | ||||
\(442\) | −13.7344 | − | 42.2702i | −0.653279 | − | 2.01059i | ||||
\(443\) | 5.89639 | + | 18.1472i | 0.280146 | + | 0.862201i | 0.987812 | + | 0.155654i | \(0.0497484\pi\) |
−0.707666 | + | 0.706548i | \(0.750252\pi\) | |||||||
\(444\) | −0.118034 | + | 0.0857567i | −0.00560165 | + | 0.00406983i | ||||
\(445\) | 1.97058 | − | 6.06481i | 0.0934143 | − | 0.287500i | ||||
\(446\) | −15.8989 | + | 11.5512i | −0.752833 | + | 0.546965i | ||||
\(447\) | 7.05799 | + | 5.12793i | 0.333831 | + | 0.242543i | ||||
\(448\) | −0.482786 | − | 1.48586i | −0.0228095 | − | 0.0702004i | ||||
\(449\) | −22.4111 | − | 16.2826i | −1.05765 | − | 0.768424i | −0.0839942 | − | 0.996466i | \(-0.526768\pi\) |
−0.973651 | + | 0.228042i | \(0.926768\pi\) | |||||||
\(450\) | −0.809017 | − | 0.587785i | −0.0381374 | − | 0.0277085i | ||||
\(451\) | −0.597308 | − | 1.83832i | −0.0281261 | − | 0.0865633i | ||||
\(452\) | −11.1369 | − | 8.09142i | −0.523835 | − | 0.380588i | ||||
\(453\) | 14.2225 | − | 10.3332i | 0.668229 | − | 0.485497i | ||||
\(454\) | 7.50228 | − | 23.0896i | 0.352099 | − | 1.08365i | ||||
\(455\) | −7.87566 | + | 5.72200i | −0.369217 | + | 0.268252i | ||||
\(456\) | 2.18196 | + | 6.71539i | 0.102180 | + | 0.314477i | ||||
\(457\) | 8.33575 | + | 25.6548i | 0.389930 | + | 1.20008i | 0.932840 | + | 0.360290i | \(0.117322\pi\) |
−0.542910 | + | 0.839791i | \(0.682678\pi\) | |||||||
\(458\) | −7.77800 | + | 23.9382i | −0.363442 | + | 1.11856i | ||||
\(459\) | 7.13298 | 0.332939 | ||||||||
\(460\) | −1.48195 | −0.0690965 | ||||||||
\(461\) | 5.32443 | − | 16.3869i | 0.247984 | − | 0.763215i | −0.747148 | − | 0.664658i | \(-0.768577\pi\) |
0.995131 | − | 0.0985571i | \(-0.0314227\pi\) | |||||||
\(462\) | −3.86881 | − | 2.81085i | −0.179993 | − | 0.130773i | ||||
\(463\) | 25.4248 | − | 18.4722i | 1.18159 | − | 0.858475i | 0.189240 | − | 0.981931i | \(-0.439398\pi\) |
0.992350 | + | 0.123455i | \(0.0393976\pi\) | |||||||
\(464\) | 7.50986 | 0.348637 | ||||||||
\(465\) | −3.41569 | − | 4.39694i | −0.158399 | − | 0.203903i | ||||
\(466\) | 2.81312 | 0.130315 | ||||||||
\(467\) | 20.1650 | − | 14.6507i | 0.933124 | − | 0.677955i | −0.0136314 | − | 0.999907i | \(-0.504339\pi\) |
0.946756 | + | 0.321952i | \(0.104339\pi\) | |||||||
\(468\) | −5.04097 | − | 3.66248i | −0.233019 | − | 0.169298i | ||||
\(469\) | 2.97523 | − | 9.15683i | 0.137384 | − | 0.422823i | ||||
\(470\) | −8.62127 | −0.397670 | ||||||||
\(471\) | −9.14529 | −0.421393 | ||||||||
\(472\) | 1.12364 | − | 3.45820i | 0.0517197 | − | 0.159177i | ||||
\(473\) | −8.24957 | − | 25.3896i | −0.379316 | − | 1.16741i | ||||
\(474\) | −1.21142 | − | 3.72835i | −0.0556422 | − | 0.171249i | ||||
\(475\) | 5.71245 | − | 4.15034i | 0.262105 | − | 0.190431i | ||||
\(476\) | 3.44370 | − | 10.5986i | 0.157842 | − | 0.485787i | ||||
\(477\) | 9.61440 | − | 6.98527i | 0.440213 | − | 0.319833i | ||||
\(478\) | −17.0374 | − | 12.3784i | −0.779275 | − | 0.566176i | ||||
\(479\) | 10.5601 | + | 32.5006i | 0.482503 | + | 1.48499i | 0.835565 | + | 0.549392i | \(0.185141\pi\) |
−0.353061 | + | 0.935600i | \(0.614859\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | 0.735468 | + | 0.534349i | 0.0335345 | + | 0.0243642i | ||||
\(482\) | 0.00164170 | + | 0.00505264i | 7.47775e−5 | + | 0.000230142i | ||||
\(483\) | −1.87312 | − | 1.36090i | −0.0852298 | − | 0.0619231i | ||||
\(484\) | 1.31950 | − | 0.958674i | 0.0599773 | − | 0.0435761i | ||||
\(485\) | 4.33487 | − | 13.3414i | 0.196836 | − | 0.605800i | ||||
\(486\) | 0.809017 | − | 0.587785i | 0.0366978 | − | 0.0266625i | ||||
\(487\) | −1.81438 | − | 5.58409i | −0.0822174 | − | 0.253039i | 0.901495 | − | 0.432790i | \(-0.142471\pi\) |
−0.983712 | + | 0.179751i | \(0.942471\pi\) | |||||||
\(488\) | 3.47793 | + | 10.7040i | 0.157438 | + | 0.484545i | ||||
\(489\) | 1.30056 | − | 4.00271i | 0.0588133 | − | 0.181009i | ||||
\(490\) | 4.55913 | 0.205960 | ||||||||
\(491\) | −3.40548 | −0.153687 | −0.0768435 | − | 0.997043i | \(-0.524484\pi\) | ||||
−0.0768435 | + | 0.997043i | \(0.524484\pi\) | |||||||
\(492\) | 0.195142 | − | 0.600586i | 0.00879769 | − | 0.0270765i | ||||
\(493\) | 43.3371 | + | 31.4863i | 1.95181 | + | 1.41807i | ||||
\(494\) | 35.5942 | − | 25.8607i | 1.60146 | − | 1.16353i | ||||
\(495\) | −3.06088 | −0.137576 | ||||||||
\(496\) | −3.41569 | − | 4.39694i | −0.153369 | − | 0.197428i | ||||
\(497\) | 5.90841 | 0.265028 | ||||||||
\(498\) | −2.65416 | + | 1.92836i | −0.118936 | + | 0.0864119i | ||||
\(499\) | −27.5699 | − | 20.0307i | −1.23420 | − | 0.896696i | −0.236999 | − | 0.971510i | \(-0.576164\pi\) |
−0.997198 | + | 0.0748139i | \(0.976164\pi\) | |||||||
\(500\) | −0.309017 | + | 0.951057i | −0.0138197 | + | 0.0425325i | ||||
\(501\) | −0.721973 | −0.0322554 | ||||||||
\(502\) | −5.42631 | −0.242188 | ||||||||
\(503\) | 10.0442 | − | 30.9129i | 0.447849 | − | 1.37834i | −0.431479 | − | 0.902123i | \(-0.642008\pi\) |
0.879329 | − | 0.476215i | \(-0.157992\pi\) | |||||||
\(504\) | −0.482786 | − | 1.48586i | −0.0215050 | − | 0.0661856i | ||||
\(505\) | 1.26139 | + | 3.88216i | 0.0561312 | + | 0.172754i | ||||
\(506\) | −3.66977 | + | 2.66625i | −0.163141 | + | 0.118529i | ||||
\(507\) | −7.98043 | + | 24.5612i | −0.354423 | + | 1.09080i | ||||
\(508\) | 6.67485 | − | 4.84956i | 0.296148 | − | 0.215164i | ||||
\(509\) | 22.8756 | + | 16.6201i | 1.01394 | + | 0.736674i | 0.965033 | − | 0.262129i | \(-0.0844246\pi\) |
0.0489120 | + | 0.998803i | \(0.484425\pi\) | |||||||
\(510\) | −2.20421 | − | 6.78386i | −0.0976041 | − | 0.300395i | ||||
\(511\) | 18.2116 | + | 13.2315i | 0.805633 | + | 0.585327i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 2.18196 | + | 6.71539i | 0.0963360 | + | 0.296492i | ||||
\(514\) | 7.68352 | + | 5.58241i | 0.338906 | + | 0.246229i | ||||
\(515\) | 8.40457 | − | 6.10628i | 0.370350 | − | 0.269075i | ||||
\(516\) | 2.69516 | − | 8.29485i | 0.118648 | − | 0.365161i | ||||
\(517\) | −21.3489 | + | 15.5109i | −0.938924 | + | 0.682168i | ||||
\(518\) | 0.0704376 | + | 0.216784i | 0.00309485 | + | 0.00952496i | ||||
\(519\) | 0.620623 | + | 1.91008i | 0.0272423 | + | 0.0838433i | ||||
\(520\) | −1.92548 | + | 5.92602i | −0.0844379 | + | 0.259873i | ||||
\(521\) | 29.1228 | 1.27589 | 0.637946 | − | 0.770081i | \(-0.279784\pi\) | ||||
0.637946 | + | 0.770081i | \(0.279784\pi\) | |||||||
\(522\) | 7.50986 | 0.328698 | ||||||||
\(523\) | 0.961645 | − | 2.95964i | 0.0420498 | − | 0.129416i | −0.927828 | − | 0.373009i | \(-0.878326\pi\) |
0.969878 | + | 0.243593i | \(0.0783261\pi\) | |||||||
\(524\) | −10.4873 | − | 7.61948i | −0.458140 | − | 0.332858i | ||||
\(525\) | −1.26395 | + | 0.918314i | −0.0551633 | + | 0.0400785i | ||||
\(526\) | −26.9098 | −1.17332 | ||||||||
\(527\) | −1.27608 | − | 39.6942i | −0.0555870 | − | 1.72911i | ||||
\(528\) | −3.06088 | −0.133208 | ||||||||
\(529\) | 16.8306 | − | 12.2282i | 0.731767 | − | 0.531660i | ||||
\(530\) | −9.61440 | − | 6.98527i | −0.417623 | − | 0.303421i | ||||
\(531\) | 1.12364 | − | 3.45820i | 0.0487618 | − | 0.150073i | ||||
\(532\) | 11.0316 | 0.478279 | ||||||||
\(533\) | −3.93483 | −0.170436 | ||||||||
\(534\) | 1.97058 | − | 6.06481i | 0.0852752 | − | 0.262450i | ||||
\(535\) | −3.15650 | − | 9.71470i | −0.136467 | − | 0.420003i | ||||
\(536\) | −1.90436 | − | 5.86101i | −0.0822557 | − | 0.253157i | ||||
\(537\) | −6.34700 | + | 4.61136i | −0.273893 | + | 0.198995i | ||||
\(538\) | −2.86102 | + | 8.80531i | −0.123347 | + | 0.379624i | ||||
\(539\) | 11.2898 | − | 8.20252i | 0.486286 | − | 0.353308i | ||||
\(540\) | −0.809017 | − | 0.587785i | −0.0348145 | − | 0.0252942i | ||||
\(541\) | −2.51474 | − | 7.73959i | −0.108117 | − | 0.332751i | 0.882332 | − | 0.470627i | \(-0.155972\pi\) |
−0.990449 | + | 0.137876i | \(0.955972\pi\) | |||||||
\(542\) | 1.62402 | + | 1.17992i | 0.0697575 | + | 0.0506818i | ||||
\(543\) | −14.6681 | − | 10.6570i | −0.629470 | − | 0.457337i | ||||
\(544\) | −2.20421 | − | 6.78386i | −0.0945048 | − | 0.290856i | ||||
\(545\) | 11.8925 | + | 8.64043i | 0.509420 | + | 0.370115i | ||||
\(546\) | −7.87566 | + | 5.72200i | −0.337047 | + | 0.244879i | ||||
\(547\) | −6.96745 | + | 21.4436i | −0.297907 | + | 0.916862i | 0.684323 | + | 0.729179i | \(0.260098\pi\) |
−0.982230 | + | 0.187683i | \(0.939902\pi\) | |||||||
\(548\) | 0.318811 | − | 0.231630i | 0.0136189 | − | 0.00989473i | ||||
\(549\) | 3.47793 | + | 10.7040i | 0.148434 | + | 0.456834i | ||||
\(550\) | 0.945865 | + | 2.91107i | 0.0403318 | + | 0.124129i | ||||
\(551\) | −16.3862 | + | 50.4317i | −0.698077 | + | 2.14846i | ||||
\(552\) | −1.48195 | −0.0630762 | ||||||||
\(553\) | −6.12468 | −0.260448 | ||||||||
\(554\) | −8.64181 | + | 26.5967i | −0.367155 | + | 1.12999i | ||||
\(555\) | 0.118034 | + | 0.0857567i | 0.00501026 | + | 0.00364017i | ||||
\(556\) | −13.2441 | + | 9.62242i | −0.561676 | + | 0.408082i | ||||
\(557\) | 31.2385 | 1.32362 | 0.661808 | − | 0.749673i | \(-0.269789\pi\) | ||||
0.661808 | + | 0.749673i | \(0.269789\pi\) | |||||||
\(558\) | −3.41569 | − | 4.39694i | −0.144598 | − | 0.186137i | ||||
\(559\) | −54.3449 | −2.29855 | ||||||||
\(560\) | −1.26395 | + | 0.918314i | −0.0534117 | + | 0.0388058i | ||||
\(561\) | −17.6634 | − | 12.8332i | −0.745751 | − | 0.541820i | ||||
\(562\) | −5.90841 | + | 18.1842i | −0.249231 | + | 0.767055i | ||||
\(563\) | 21.2403 | 0.895173 | 0.447586 | − | 0.894241i | \(-0.352284\pi\) | ||||
0.447586 | + | 0.894241i | \(0.352284\pi\) | |||||||
\(564\) | −8.62127 | −0.363021 | ||||||||
\(565\) | −4.25391 | + | 13.0922i | −0.178963 | + | 0.550793i | ||||
\(566\) | 8.26050 | + | 25.4232i | 0.347215 | + | 1.06862i | ||||
\(567\) | −0.482786 | − | 1.48586i | −0.0202751 | − | 0.0624004i | ||||
\(568\) | 3.05954 | − | 2.22288i | 0.128375 | − | 0.0932702i | ||||
\(569\) | −2.70936 | + | 8.33855i | −0.113582 | + | 0.349570i | −0.991649 | − | 0.128968i | \(-0.958833\pi\) |
0.878066 | + | 0.478539i | \(0.158833\pi\) | |||||||
\(570\) | 5.71245 | − | 4.15034i | 0.239268 | − | 0.173839i | ||||
\(571\) | 7.23696 | + | 5.25796i | 0.302857 | + | 0.220039i | 0.728826 | − | 0.684699i | \(-0.240066\pi\) |
−0.425968 | + | 0.904738i | \(0.640066\pi\) | |||||||
\(572\) | 5.89367 | + | 18.1389i | 0.246427 | + | 0.758424i | ||||
\(573\) | −16.0192 | − | 11.6387i | −0.669214 | − | 0.486212i | ||||
\(574\) | −0.798177 | − | 0.579909i | −0.0333152 | − | 0.0242049i | ||||
\(575\) | 0.457949 | + | 1.40942i | 0.0190978 | + | 0.0587770i | ||||
\(576\) | −0.809017 | − | 0.587785i | −0.0337090 | − | 0.0244911i | ||||
\(577\) | −4.11770 | + | 2.99168i | −0.171422 | + | 0.124545i | −0.670188 | − | 0.742191i | \(-0.733787\pi\) |
0.498766 | + | 0.866737i | \(0.333787\pi\) | |||||||
\(578\) | 10.4693 | − | 32.2212i | 0.435465 | − | 1.34022i | ||||
\(579\) | −17.0876 | + | 12.4149i | −0.710136 | + | 0.515944i | ||||
\(580\) | −2.32067 | − | 7.14230i | −0.0963608 | − | 0.296568i | ||||
\(581\) | 1.58389 | + | 4.87470i | 0.0657107 | + | 0.202237i | ||||
\(582\) | 4.33487 | − | 13.3414i | 0.179686 | − | 0.553017i | ||||
\(583\) | −36.3757 | −1.50653 | ||||||||
\(584\) | 14.4085 | 0.596226 | ||||||||
\(585\) | −1.92548 | + | 5.92602i | −0.0796088 | + | 0.245011i | ||||
\(586\) | −9.39518 | − | 6.82600i | −0.388111 | − | 0.281979i | ||||
\(587\) | 37.2730 | − | 27.0804i | 1.53842 | − | 1.11773i | 0.587103 | − | 0.809512i | \(-0.300268\pi\) |
0.951317 | − | 0.308215i | \(-0.0997317\pi\) | |||||||
\(588\) | 4.55913 | 0.188015 | ||||||||
\(589\) | 36.9801 | − | 13.3438i | 1.52374 | − | 0.549820i | ||||
\(590\) | −3.63617 | −0.149699 | ||||||||
\(591\) | −18.3980 | + | 13.3669i | −0.756791 | + | 0.549841i | ||||
\(592\) | 0.118034 | + | 0.0857567i | 0.00485117 | + | 0.00352458i | ||||
\(593\) | −0.0141339 | + | 0.0434996i | −0.000580409 | + | 0.00178632i | −0.951346 | − | 0.308124i | \(-0.900299\pi\) |
0.950766 | + | 0.309910i | \(0.100299\pi\) | |||||||
\(594\) | −3.06088 | −0.125590 | ||||||||
\(595\) | −11.1441 | −0.456862 | ||||||||
\(596\) | 2.69591 | − | 8.29716i | 0.110429 | − | 0.339865i | ||||
\(597\) | −2.28821 | − | 7.04239i | −0.0936503 | − | 0.288226i | ||||
\(598\) | 2.85348 | + | 8.78209i | 0.116687 | + | 0.359127i | ||||
\(599\) | 18.9543 | − | 13.7711i | 0.774454 | − | 0.562673i | −0.128856 | − | 0.991663i | \(-0.541130\pi\) |
0.903309 | + | 0.428990i | \(0.141130\pi\) | |||||||
\(600\) | −0.309017 | + | 0.951057i | −0.0126156 | + | 0.0388267i | ||||
\(601\) | 2.63758 | − | 1.91631i | 0.107589 | − | 0.0781680i | −0.532690 | − | 0.846311i | \(-0.678819\pi\) |
0.640279 | + | 0.768143i | \(0.278819\pi\) | |||||||
\(602\) | −11.0238 | − | 8.00928i | −0.449298 | − | 0.326434i | ||||
\(603\) | −1.90436 | − | 5.86101i | −0.0775515 | − | 0.238679i | ||||
\(604\) | −14.2225 | − | 10.3332i | −0.578703 | − | 0.420453i | ||||
\(605\) | −1.31950 | − | 0.958674i | −0.0536453 | − | 0.0389756i | ||||
\(606\) | 1.26139 | + | 3.88216i | 0.0512405 | + | 0.157702i | ||||
\(607\) | −7.05094 | − | 5.12281i | −0.286189 | − | 0.207928i | 0.435423 | − | 0.900226i | \(-0.356599\pi\) |
−0.721612 | + | 0.692297i | \(0.756599\pi\) | |||||||
\(608\) | 5.71245 | − | 4.15034i | 0.231671 | − | 0.168319i | ||||
\(609\) | 3.62566 | − | 11.1586i | 0.146919 | − | 0.452170i | ||||
\(610\) | 9.10533 | − | 6.61541i | 0.368664 | − | 0.267850i | ||||
\(611\) | 16.6001 | + | 51.0898i | 0.671568 | + | 2.06687i | ||||
\(612\) | −2.20421 | − | 6.78386i | −0.0890999 | − | 0.274221i | ||||
\(613\) | −1.36100 | + | 4.18872i | −0.0549702 | + | 0.169181i | −0.974772 | − | 0.223202i | \(-0.928349\pi\) |
0.919802 | + | 0.392383i | \(0.128349\pi\) | |||||||
\(614\) | 16.4991 | 0.665848 | ||||||||
\(615\) | −0.631494 | −0.0254643 | ||||||||
\(616\) | −1.47775 | + | 4.54805i | −0.0595403 | + | 0.183246i | ||||
\(617\) | −5.36453 | − | 3.89756i | −0.215968 | − | 0.156910i | 0.474542 | − | 0.880233i | \(-0.342614\pi\) |
−0.690510 | + | 0.723323i | \(0.742614\pi\) | |||||||
\(618\) | 8.40457 | − | 6.10628i | 0.338081 | − | 0.245631i | ||||
\(619\) | 6.96062 | 0.279771 | 0.139885 | − | 0.990168i | \(-0.455327\pi\) | ||||
0.139885 | + | 0.990168i | \(0.455327\pi\) | |||||||
\(620\) | −3.12623 | + | 4.60724i | −0.125552 | + | 0.185031i | ||||
\(621\) | −1.48195 | −0.0594688 | ||||||||
\(622\) | −2.80886 | + | 2.04076i | −0.112625 | + | 0.0818270i | ||||
\(623\) | −8.06011 | − | 5.85602i | −0.322922 | − | 0.234616i | ||||
\(624\) | −1.92548 | + | 5.92602i | −0.0770809 | + | 0.237231i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 8.33590 | 0.333170 | ||||||||
\(627\) | 6.67873 | − | 20.5550i | 0.266723 | − | 0.820889i | ||||
\(628\) | 2.82605 | + | 8.69769i | 0.112772 | + | 0.347076i | ||||
\(629\) | 0.321590 | + | 0.989752i | 0.0128226 | + | 0.0394640i | ||||
\(630\) | −1.26395 | + | 0.918314i | −0.0503570 | + | 0.0365865i | ||||
\(631\) | 4.27325 | − | 13.1517i | 0.170115 | − | 0.523561i | −0.829261 | − | 0.558861i | \(-0.811239\pi\) |
0.999377 | + | 0.0352998i | \(0.0112386\pi\) | |||||||
\(632\) | −3.17153 | + | 2.30425i | −0.126157 | + | 0.0916581i | ||||
\(633\) | −3.29414 | − | 2.39333i | −0.130930 | − | 0.0951265i | ||||
\(634\) | 2.99288 | + | 9.21114i | 0.118862 | + | 0.365821i | ||||
\(635\) | −6.67485 | − | 4.84956i | −0.264883 | − | 0.192449i | ||||
\(636\) | −9.61440 | − | 6.98527i | −0.381236 | − | 0.276984i | ||||
\(637\) | −8.77851 | − | 27.0175i | −0.347817 | − | 1.07047i | ||||
\(638\) | −18.5967 | − | 13.5113i | −0.736251 | − | 0.534918i | ||||
\(639\) | 3.05954 | − | 2.22288i | 0.121033 | − | 0.0879360i | ||||
\(640\) | −0.309017 | + | 0.951057i | −0.0122150 | + | 0.0375938i | ||||
\(641\) | −33.9221 | + | 24.6458i | −1.33984 | + | 0.973452i | −0.340392 | + | 0.940284i | \(0.610560\pi\) |
−0.999450 | + | 0.0331681i | \(0.989440\pi\) | |||||||
\(642\) | −3.15650 | − | 9.71470i | −0.124577 | − | 0.383408i | ||||
\(643\) | 10.6518 | + | 32.7830i | 0.420068 | + | 1.29284i | 0.907639 | + | 0.419752i | \(0.137883\pi\) |
−0.487571 | + | 0.873083i | \(0.662117\pi\) | |||||||
\(644\) | −0.715467 | + | 2.20198i | −0.0281934 | + | 0.0867702i | ||||
\(645\) | −8.72172 | −0.343418 | ||||||||
\(646\) | 50.3658 | 1.98162 | ||||||||
\(647\) | 13.9599 | − | 42.9643i | 0.548822 | − | 1.68910i | −0.162904 | − | 0.986642i | \(-0.552086\pi\) |
0.711726 | − | 0.702458i | \(-0.247914\pi\) | |||||||
\(648\) | −0.809017 | − | 0.587785i | −0.0317812 | − | 0.0230904i | ||||
\(649\) | −9.00428 | + | 6.54199i | −0.353449 | + | 0.256796i | ||||
\(650\) | 6.23099 | 0.244399 | ||||||||
\(651\) | −8.18229 | + | 2.95247i | −0.320689 | + | 0.115716i | ||||
\(652\) | −4.20870 | −0.164825 | ||||||||
\(653\) | −31.7816 | + | 23.0907i | −1.24371 | + | 0.903607i | −0.997840 | − | 0.0656961i | \(-0.979073\pi\) |
−0.245869 | + | 0.969303i | \(0.579073\pi\) | |||||||
\(654\) | 11.8925 | + | 8.64043i | 0.465035 | + | 0.337868i | ||||
\(655\) | −4.00580 | + | 12.3286i | −0.156519 | + | 0.481717i | ||||
\(656\) | −0.631494 | −0.0246557 | ||||||||
\(657\) | 14.4085 | 0.562128 | ||||||||
\(658\) | −4.16223 | + | 12.8100i | −0.162261 | + | 0.499387i | ||||
\(659\) | 2.41976 | + | 7.44725i | 0.0942603 | + | 0.290104i | 0.987060 | − | 0.160350i | \(-0.0512623\pi\) |
−0.892800 | + | 0.450454i | \(0.851262\pi\) | |||||||
\(660\) | 0.945865 | + | 2.91107i | 0.0368177 | + | 0.113313i | ||||
\(661\) | 34.8377 | − | 25.3111i | 1.35503 | − | 0.984487i | 0.356286 | − | 0.934377i | \(-0.384043\pi\) |
0.998744 | − | 0.0501095i | \(-0.0159570\pi\) | |||||||
\(662\) | 6.04531 | − | 18.6056i | 0.234958 | − | 0.723125i | ||||
\(663\) | −35.9572 | + | 26.1244i | −1.39646 | + | 1.01459i | ||||
\(664\) | 2.65416 | + | 1.92836i | 0.103001 | + | 0.0748349i | ||||
\(665\) | −3.40894 | − | 10.4917i | −0.132193 | − | 0.406849i | ||||
\(666\) | 0.118034 | + | 0.0857567i | 0.00457372 | + | 0.00332301i | ||||
\(667\) | −9.00377 | − | 6.54162i | −0.348627 | − | 0.253293i | ||||
\(668\) | 0.223102 | + | 0.686637i | 0.00863207 | + | 0.0265668i | ||||
\(669\) | 15.8989 | + | 11.5512i | 0.614685 | + | 0.446595i | ||||
\(670\) | −4.98567 | + | 3.62230i | −0.192613 | + | 0.139942i | ||||
\(671\) | 10.6455 | − | 32.7636i | 0.410966 | − | 1.26482i | ||||
\(672\) | −1.26395 | + | 0.918314i | −0.0487580 | + | 0.0354247i | ||||
\(673\) | 6.98740 | + | 21.5050i | 0.269345 | + | 0.828958i | 0.990661 | + | 0.136351i | \(0.0435376\pi\) |
−0.721316 | + | 0.692606i | \(0.756462\pi\) | |||||||
\(674\) | −7.91353 | − | 24.3554i | −0.304818 | − | 0.938133i | ||||
\(675\) | −0.309017 | + | 0.951057i | −0.0118941 | + | 0.0366062i | ||||
\(676\) | 25.8252 | 0.993277 | ||||||||
\(677\) | −1.18096 | −0.0453882 | −0.0226941 | − | 0.999742i | \(-0.507224\pi\) | ||||
−0.0226941 | + | 0.999742i | \(0.507224\pi\) | |||||||
\(678\) | −4.25391 | + | 13.0922i | −0.163370 | + | 0.502803i | ||||
\(679\) | −17.7306 | − | 12.8821i | −0.680439 | − | 0.494368i | ||||
\(680\) | −5.77070 | + | 4.19266i | −0.221296 | + | 0.160781i | ||||
\(681\) | −24.2779 | −0.930330 | ||||||||
\(682\) | 0.547588 | + | 17.0335i | 0.0209682 | + | 0.652246i | ||||
\(683\) | 40.4963 | 1.54955 | 0.774774 | − | 0.632239i | \(-0.217864\pi\) | ||||
0.774774 | + | 0.632239i | \(0.217864\pi\) | |||||||
\(684\) | 5.71245 | − | 4.15034i | 0.218421 | − | 0.158692i | ||||
\(685\) | −0.318811 | − | 0.231630i | −0.0121811 | − | 0.00885012i | ||||
\(686\) | 5.58059 | − | 17.1753i | 0.213068 | − | 0.655755i | ||||
\(687\) | 25.1701 | 0.960301 | ||||||||
\(688\) | −8.72172 | −0.332513 | ||||||||
\(689\) | −22.8825 | + | 70.4251i | −0.871754 | + | 2.68298i | ||||
\(690\) | 0.457949 | + | 1.40942i | 0.0174338 | + | 0.0536558i | ||||
\(691\) | −0.0881680 | − | 0.271353i | −0.00335407 | − | 0.0103228i | 0.949365 | − | 0.314174i | \(-0.101727\pi\) |
−0.952720 | + | 0.303851i | \(0.901727\pi\) | |||||||
\(692\) | 1.62481 | − | 1.18050i | 0.0617661 | − | 0.0448757i | ||||
\(693\) | −1.47775 | + | 4.54805i | −0.0561352 | + | 0.172766i | ||||
\(694\) | −19.5909 | + | 14.2337i | −0.743662 | + | 0.540302i | ||||
\(695\) | 13.2441 | + | 9.62242i | 0.502378 | + | 0.364999i | ||||
\(696\) | −2.32067 | − | 7.14230i | −0.0879649 | − | 0.270728i | ||||
\(697\) | −3.64416 | − | 2.64764i | −0.138032 | − | 0.100286i | ||||
\(698\) | −19.3487 | − | 14.0577i | −0.732361 | − | 0.532091i | ||||
\(699\) | −0.869301 | − | 2.67543i | −0.0328800 | − | 0.101194i | ||||
\(700\) | 1.26395 | + | 0.918314i | 0.0477728 | + | 0.0347090i | ||||
\(701\) | −4.54407 | + | 3.30146i | −0.171627 | + | 0.124694i | −0.670283 | − | 0.742106i | \(-0.733827\pi\) |
0.498656 | + | 0.866800i | \(0.333827\pi\) | |||||||
\(702\) | −1.92548 | + | 5.92602i | −0.0726726 | + | 0.223663i | ||||
\(703\) | −0.833436 | + | 0.605526i | −0.0314336 | + | 0.0228379i | ||||
\(704\) | 0.945865 | + | 2.91107i | 0.0356486 | + | 0.109715i | ||||
\(705\) | 2.66412 | + | 8.19932i | 0.100337 | + | 0.308804i | ||||
\(706\) | −0.213507 | + | 0.657106i | −0.00803543 | + | 0.0247305i | ||||
\(707\) | 6.37735 | 0.239845 | ||||||||
\(708\) | −3.63617 | −0.136656 | ||||||||
\(709\) | −13.3828 | + | 41.1881i | −0.502602 | + | 1.54685i | 0.302163 | + | 0.953256i | \(0.402291\pi\) |
−0.804765 | + | 0.593594i | \(0.797709\pi\) | |||||||
\(710\) | −3.05954 | − | 2.22288i | −0.114822 | − | 0.0834234i | ||||
\(711\) | −3.17153 | + | 2.30425i | −0.118942 | + | 0.0864161i | ||||
\(712\) | −6.37692 | −0.238985 | ||||||||
\(713\) | 0.265120 | + | 8.24691i | 0.00992882 | + | 0.308849i | ||||
\(714\) | −11.1441 | −0.417056 | ||||||||
\(715\) | 15.4298 | − | 11.2104i | 0.577043 | − | 0.419246i | ||||
\(716\) | 6.34700 | + | 4.61136i | 0.237198 | + | 0.172335i | ||||
\(717\) | −6.50773 | + | 20.0287i | −0.243035 | + | 0.747986i | ||||
\(718\) | 3.82137 | 0.142612 | ||||||||
\(719\) | −15.4612 | −0.576604 | −0.288302 | − | 0.957539i | \(-0.593091\pi\) | ||||
−0.288302 | + | 0.957539i | \(0.593091\pi\) | |||||||
\(720\) | −0.309017 | + | 0.951057i | −0.0115164 | + | 0.0354438i | ||||
\(721\) | −5.01548 | − | 15.4361i | −0.186786 | − | 0.574869i | ||||
\(722\) | 9.53548 | + | 29.3472i | 0.354874 | + | 1.09219i | ||||
\(723\) | 0.00429803 | − | 0.00312270i | 0.000159846 | − | 0.000116135i | ||||
\(724\) | −5.60273 | + | 17.2434i | −0.208224 | + | 0.640847i | ||||
\(725\) | −6.07561 | + | 4.41419i | −0.225642 | + | 0.163939i | ||||
\(726\) | −1.31950 | − | 0.958674i | −0.0489713 | − | 0.0355797i | ||||
\(727\) | 2.11091 | + | 6.49672i | 0.0782894 | + | 0.240950i | 0.982540 | − | 0.186053i | \(-0.0595695\pi\) |
−0.904250 | + | 0.427003i | \(0.859569\pi\) | |||||||
\(728\) | 7.87566 | + | 5.72200i | 0.291891 | + | 0.212071i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | −4.45246 | − | 13.7033i | −0.164793 | − | 0.507180i | ||||
\(731\) | −50.3304 | − | 36.5672i | −1.86154 | − | 1.35249i | ||||
\(732\) | 9.10533 | − | 6.61541i | 0.336543 | − | 0.244512i | ||||
\(733\) | 1.36450 | − | 4.19949i | 0.0503989 | − | 0.155112i | −0.922690 | − | 0.385544i | \(-0.874014\pi\) |
0.973088 | + | 0.230432i | \(0.0740139\pi\) | |||||||
\(734\) | 22.1288 | − | 16.0775i | 0.816790 | − | 0.593433i | ||||
\(735\) | −1.40885 | − | 4.33599i | −0.0519661 | − | 0.159935i | ||||
\(736\) | 0.457949 | + | 1.40942i | 0.0168802 | + | 0.0519520i | ||||
\(737\) | −5.82902 | + | 17.9399i | −0.214715 | + | 0.660824i | ||||
\(738\) | −0.631494 | −0.0232456 | ||||||||
\(739\) | 45.1243 | 1.65992 | 0.829962 | − | 0.557820i | \(-0.188362\pi\) | ||||
0.829962 | + | 0.557820i | \(0.188362\pi\) | |||||||
\(740\) | 0.0450850 | − | 0.138757i | 0.00165736 | − | 0.00510082i | ||||
\(741\) | −35.5942 | − | 25.8607i | −1.30759 | − | 0.950017i | ||||
\(742\) | −15.0208 | + | 10.9133i | −0.551433 | + | 0.400639i | ||||
\(743\) | −8.89623 | −0.326371 | −0.163185 | − | 0.986595i | \(-0.552177\pi\) | ||||
−0.163185 | + | 0.986595i | \(0.552177\pi\) | |||||||
\(744\) | −3.12623 | + | 4.60724i | −0.114613 | + | 0.168910i | ||||
\(745\) | −8.72415 | −0.319628 | ||||||||
\(746\) | −5.02566 | + | 3.65136i | −0.184002 | + | 0.133686i | ||||
\(747\) | 2.65416 | + | 1.92836i | 0.0971106 | + | 0.0705550i | ||||
\(748\) | −6.74683 | + | 20.7646i | −0.246689 | + | 0.759230i | ||||
\(749\) | −15.9586 | −0.583115 | ||||||||
\(750\) | 1.00000 | 0.0365148 | ||||||||
\(751\) | −0.633678 | + | 1.95026i | −0.0231233 | + | 0.0711661i | −0.961952 | − | 0.273218i | \(-0.911912\pi\) |
0.938829 | + | 0.344384i | \(0.111912\pi\) | |||||||
\(752\) | 2.66412 | + | 8.19932i | 0.0971504 | + | 0.298998i | ||||
\(753\) | 1.67682 | + | 5.16073i | 0.0611068 | + | 0.188067i | ||||
\(754\) | −37.8570 | + | 27.5047i | −1.37867 | + | 1.00166i | ||||
\(755\) | −5.43249 | + | 16.7195i | −0.197709 | + | 0.608485i | ||||
\(756\) | −1.26395 | + | 0.918314i | −0.0459694 | + | 0.0333988i | ||||
\(757\) | −1.08133 | − | 0.785632i | −0.0393016 | − | 0.0285543i | 0.567961 | − | 0.823055i | \(-0.307732\pi\) |
−0.607263 | + | 0.794501i | \(0.707732\pi\) | |||||||
\(758\) | −0.189287 | − | 0.582564i | −0.00687520 | − | 0.0211597i | ||||
\(759\) | 3.66977 | + | 2.66625i | 0.133204 | + | 0.0967786i | ||||
\(760\) | −5.71245 | − | 4.15034i | −0.207212 | − | 0.150549i | ||||
\(761\) | 11.0687 | + | 34.0660i | 0.401241 | + | 1.23489i | 0.923994 | + | 0.382408i | \(0.124905\pi\) |
−0.522753 | + | 0.852484i | \(0.675095\pi\) | |||||||
\(762\) | −6.67485 | − | 4.84956i | −0.241804 | − | 0.175681i | ||||
\(763\) | 18.5801 | − | 13.4992i | 0.672643 | − | 0.488704i | ||||
\(764\) | −6.11881 | + | 18.8318i | −0.221371 | + | 0.681309i | ||||
\(765\) | −5.77070 | + | 4.19266i | −0.208640 | + | 0.151586i | ||||
\(766\) | −6.06165 | − | 18.6558i | −0.219016 | − | 0.674062i | ||||
\(767\) | 7.00138 | + | 21.5480i | 0.252805 | + | 0.778054i | ||||
\(768\) | −0.309017 | + | 0.951057i | −0.0111507 | + | 0.0343183i | ||||
\(769\) | 11.5483 | 0.416441 | 0.208220 | − | 0.978082i | \(-0.433233\pi\) | ||||
0.208220 | + | 0.978082i | \(0.433233\pi\) | |||||||
\(770\) | 4.78211 | 0.172335 | ||||||||
\(771\) | 2.93485 | − | 9.03252i | 0.105696 | − | 0.325298i | ||||
\(772\) | 17.0876 | + | 12.4149i | 0.614995 | + | 0.446820i | ||||
\(773\) | 28.4794 | − | 20.6915i | 1.02433 | − | 0.744222i | 0.0571668 | − | 0.998365i | \(-0.481793\pi\) |
0.967167 | + | 0.254143i | \(0.0817933\pi\) | |||||||
\(774\) | −8.72172 | −0.313496 | ||||||||
\(775\) | 5.34781 | + | 1.54950i | 0.192099 | + | 0.0556598i | ||||
\(776\) | −14.0279 | −0.503574 | ||||||||
\(777\) | 0.184408 | − | 0.133980i | 0.00661560 | − | 0.00480651i | ||||
\(778\) | 2.81381 | + | 2.04435i | 0.100880 | + | 0.0732936i | ||||
\(779\) | 1.37790 | − | 4.24073i | 0.0493682 | − | 0.151940i | ||||
\(780\) | 6.23099 | 0.223105 | ||||||||
\(781\) | −11.5756 | −0.414209 | ||||||||
\(782\) | −3.26654 | + | 10.0534i | −0.116811 | + | 0.359508i | ||||
\(783\) | −2.32067 | − | 7.14230i | −0.0829341 | − | 0.255245i | ||||
\(784\) | −1.40885 | − | 4.33599i | −0.0503160 | − | 0.154857i | ||||
\(785\) | 7.39870 | − | 5.37547i | 0.264071 | − | 0.191859i | ||||
\(786\) | −4.00580 | + | 12.3286i | −0.142882 | + | 0.439746i | ||||
\(787\) | −7.22037 | + | 5.24590i | −0.257378 | + | 0.186996i | −0.708990 | − | 0.705218i | \(-0.750849\pi\) |
0.451612 | + | 0.892214i | \(0.350849\pi\) | |||||||
\(788\) | 18.3980 | + | 13.3669i | 0.655400 | + | 0.476176i | ||||
\(789\) | 8.31559 | + | 25.5928i | 0.296043 | + | 0.911127i | ||||
\(790\) | 3.17153 | + | 2.30425i | 0.112838 | + | 0.0819815i | ||||
\(791\) | 17.3995 | + | 12.6415i | 0.618654 | + | 0.449479i | ||||
\(792\) | 0.945865 | + | 2.91107i | 0.0336098 | + | 0.103440i | ||||
\(793\) | −56.7352 | − | 41.2205i | −2.01473 | − | 1.46378i | ||||
\(794\) | −22.5493 | + | 16.3830i | −0.800243 | + | 0.581411i | ||||
\(795\) | −3.67237 | + | 11.3024i | −0.130246 | + | 0.400855i | ||||
\(796\) | −5.99062 | + | 4.35244i | −0.212332 | + | 0.154268i | ||||
\(797\) | −0.156744 | − | 0.482410i | −0.00555217 | − | 0.0170878i | 0.948242 | − | 0.317548i | \(-0.102860\pi\) |
−0.953794 | + | 0.300461i | \(0.902860\pi\) | |||||||
\(798\) | −3.40894 | − | 10.4917i | −0.120675 | − | 0.371400i | ||||
\(799\) | −19.0031 | + | 58.4855i | −0.672281 | + | 2.06907i | ||||
\(800\) | 1.00000 | 0.0353553 | ||||||||
\(801\) | −6.37692 | −0.225317 | ||||||||
\(802\) | −0.648673 | + | 1.99641i | −0.0229054 | + | 0.0704957i | ||||
\(803\) | −35.6798 | − | 25.9229i | −1.25911 | − | 0.914798i | ||||
\(804\) | −4.98567 | + | 3.62230i | −0.175831 | + | 0.127749i | ||||
\(805\) | 2.31530 | 0.0816036 | ||||||||
\(806\) | 33.3221 | + | 9.65493i | 1.17372 | + | 0.340080i | ||||
\(807\) | 9.25845 | 0.325913 | ||||||||
\(808\) | 3.30237 | − | 2.39931i | 0.116177 | − | 0.0844074i | ||||
\(809\) | 5.26480 | + | 3.82510i | 0.185101 | + | 0.134483i | 0.676477 | − | 0.736464i | \(-0.263506\pi\) |
−0.491376 | + | 0.870947i | \(0.663506\pi\) | |||||||
\(810\) | −0.309017 | + | 0.951057i | −0.0108578 | + | 0.0334167i | ||||
\(811\) | 14.6774 | 0.515394 | 0.257697 | − | 0.966226i | \(-0.417036\pi\) | ||||
0.257697 | + | 0.966226i | \(0.417036\pi\) | |||||||
\(812\) | −11.7329 | −0.411743 | ||||||||
\(813\) | 0.620319 | − | 1.90915i | 0.0217555 | − | 0.0669567i | ||||
\(814\) | −0.138000 | − | 0.424720i | −0.00483689 | − | 0.0148864i | ||||
\(815\) | 1.30056 | + | 4.00271i | 0.0455566 | + | 0.140209i | ||||
\(816\) | −5.77070 | + | 4.19266i | −0.202015 | + | 0.146772i | ||||
\(817\) | 19.0305 | − | 58.5698i | 0.665792 | − | 2.04910i | ||||
\(818\) | −24.4534 | + | 17.7664i | −0.854993 | + | 0.621188i | ||||
\(819\) | 7.87566 | + | 5.72200i | 0.275198 | + | 0.199943i | ||||
\(820\) | 0.195142 | + | 0.600586i | 0.00681466 | + | 0.0209734i | ||||
\(821\) | −40.2749 | − | 29.2614i | −1.40560 | − | 1.02123i | −0.993943 | − | 0.109892i | \(-0.964949\pi\) |
−0.411659 | − | 0.911338i | \(-0.635051\pi\) | |||||||
\(822\) | −0.318811 | − | 0.231630i | −0.0111198 | − | 0.00807902i | ||||
\(823\) | −9.95968 | − | 30.6527i | −0.347173 | − | 1.06849i | −0.960410 | − | 0.278589i | \(-0.910133\pi\) |
0.613238 | − | 0.789898i | \(-0.289867\pi\) | |||||||
\(824\) | −8.40457 | − | 6.10628i | −0.292787 | − | 0.212722i | ||||
\(825\) | 2.47631 | − | 1.79914i | 0.0862139 | − | 0.0626381i | ||||
\(826\) | −1.75549 | + | 5.40285i | −0.0610814 | + | 0.187989i | ||||
\(827\) | 7.63332 | − | 5.54593i | 0.265436 | − | 0.192851i | −0.447104 | − | 0.894482i | \(-0.647545\pi\) |
0.712540 | + | 0.701631i | \(0.247545\pi\) | |||||||
\(828\) | 0.457949 | + | 1.40942i | 0.0159148 | + | 0.0489808i | ||||
\(829\) | −0.840238 | − | 2.58599i | −0.0291827 | − | 0.0898151i | 0.935404 | − | 0.353580i | \(-0.115036\pi\) |
−0.964587 | + | 0.263765i | \(0.915036\pi\) | |||||||
\(830\) | 1.01380 | − | 3.12015i | 0.0351895 | − | 0.108302i | ||||
\(831\) | 27.9655 | 0.970111 | ||||||||
\(832\) | 6.23099 | 0.216021 | ||||||||
\(833\) | 10.0493 | − | 30.9285i | 0.348187 | − | 1.07161i | ||||
\(834\) | 13.2441 | + | 9.62242i | 0.458607 | + | 0.333197i | ||||
\(835\) | 0.584088 | − | 0.424365i | 0.0202132 | − | 0.0146858i | ||||
\(836\) | −21.6128 | −0.747496 | ||||||||
\(837\) | −3.12623 | + | 4.60724i | −0.108058 | + | 0.159250i | ||||
\(838\) | 2.72152 | 0.0940134 | ||||||||
\(839\) | −44.7163 | + | 32.4883i | −1.54378 | + | 1.12162i | −0.595869 | + | 0.803082i | \(0.703192\pi\) |
−0.947910 | + | 0.318539i | \(0.896808\pi\) | |||||||
\(840\) | 1.26395 | + | 0.918314i | 0.0436104 | + | 0.0316848i | ||||
\(841\) | 8.46645 | − | 26.0571i | 0.291947 | − | 0.898519i | ||||
\(842\) | −7.81292 | −0.269251 | ||||||||
\(843\) | 19.1200 | 0.658528 | ||||||||
\(844\) | −1.25825 | + | 3.87250i | −0.0433108 | + | 0.133297i | ||||
\(845\) | −7.98043 | − | 24.5612i | −0.274535 | − | 0.844932i | ||||
\(846\) | 2.66412 | + | 8.19932i | 0.0915943 | + | 0.281898i | ||||
\(847\) | −2.06149 | + | 1.49776i | −0.0708338 | + | 0.0514638i | ||||
\(848\) | −3.67237 | + | 11.3024i | −0.126110 | + | 0.388126i | ||||
\(849\) | 21.6263 | − | 15.7124i | 0.742211 | − | 0.539248i | ||||
\(850\) | 5.77070 | + | 4.19266i | 0.197933 | + | 0.143807i | ||||
\(851\) | −0.0668139 | − | 0.205632i | −0.00229035 | − | 0.00704897i | ||||
\(852\) | −3.05954 | − | 2.22288i | −0.104818 | − | 0.0761548i | ||||
\(853\) | 45.8536 | + | 33.3146i | 1.57000 | + | 1.14067i | 0.927158 | + | 0.374672i | \(0.122245\pi\) |
0.642841 | + | 0.765999i | \(0.277755\pi\) | |||||||
\(854\) | −5.43366 | − | 16.7231i | −0.185936 | − | 0.572253i | ||||
\(855\) | −5.71245 | − | 4.15034i | −0.195362 | − | 0.141939i | ||||
\(856\) | −8.26381 | + | 6.00401i | −0.282451 | + | 0.205213i | ||||
\(857\) | 5.09114 | − | 15.6689i | 0.173910 | − | 0.535240i | −0.825672 | − | 0.564151i | \(-0.809204\pi\) |
0.999582 | + | 0.0289105i | \(0.00920377\pi\) | |||||||
\(858\) | 15.4298 | − | 11.2104i | 0.526766 | − | 0.382718i | ||||
\(859\) | −13.2398 | − | 40.7480i | −0.451737 | − | 1.39030i | −0.874924 | − | 0.484260i | \(-0.839089\pi\) |
0.423187 | − | 0.906042i | \(-0.360911\pi\) | |||||||
\(860\) | 2.69516 | + | 8.29485i | 0.0919042 | + | 0.282852i | ||||
\(861\) | −0.304876 | + | 0.938313i | −0.0103902 | + | 0.0319776i | ||||
\(862\) | 28.3603 | 0.965956 | ||||||||
\(863\) | 21.4906 | 0.731547 | 0.365774 | − | 0.930704i | \(-0.380804\pi\) | ||||
0.365774 | + | 0.930704i | \(0.380804\pi\) | |||||||
\(864\) | −0.309017 | + | 0.951057i | −0.0105130 | + | 0.0323556i | ||||
\(865\) | −1.62481 | − | 1.18050i | −0.0552453 | − | 0.0401380i | ||||
\(866\) | 10.2071 | − | 7.41586i | 0.346850 | − | 0.252001i | ||||
\(867\) | −33.8793 | −1.15060 | ||||||||
\(868\) | 5.33643 | + | 6.86946i | 0.181130 | + | 0.233165i | ||||
\(869\) | 11.9993 | 0.407050 | ||||||||
\(870\) | −6.07561 | + | 4.41419i | −0.205982 | + | 0.149655i | ||||
\(871\) | 31.0657 | + | 22.5705i | 1.05262 | + | 0.764773i | ||||
\(872\) | 4.54254 | − | 13.9805i | 0.153830 | − | 0.473440i | ||||
\(873\) | −14.0279 | −0.474774 | ||||||||
\(874\) | −10.4641 | −0.353952 | ||||||||
\(875\) | 0.482786 | − | 1.48586i | 0.0163212 | − | 0.0502313i | ||||
\(876\) | −4.45246 | − | 13.7033i | −0.150435 | − | 0.462990i | ||||
\(877\) | 0.979968 | + | 3.01603i | 0.0330912 | + | 0.101844i | 0.966238 | − | 0.257652i | \(-0.0829487\pi\) |
−0.933147 | + | 0.359496i | \(0.882949\pi\) | |||||||
\(878\) | 13.6278 | − | 9.90116i | 0.459915 | − | 0.334148i | ||||
\(879\) | −3.58864 | + | 11.0447i | −0.121042 | + | 0.372528i | ||||
\(880\) | 2.47631 | − | 1.79914i | 0.0834763 | − | 0.0606491i | ||||
\(881\) | −7.83413 | − | 5.69183i | −0.263939 | − | 0.191763i | 0.447943 | − | 0.894062i | \(-0.352157\pi\) |
−0.711882 | + | 0.702299i | \(0.752157\pi\) | |||||||
\(882\) | −1.40885 | − | 4.33599i | −0.0474384 | − | 0.146000i | ||||
\(883\) | −26.1095 | − | 18.9696i | −0.878654 | − | 0.638379i | 0.0542411 | − | 0.998528i | \(-0.482726\pi\) |
−0.932895 | + | 0.360148i | \(0.882726\pi\) | |||||||
\(884\) | 35.9572 | + | 26.1244i | 1.20937 | + | 0.878659i | ||||
\(885\) | 1.12364 | + | 3.45820i | 0.0377707 | + | 0.116246i | ||||
\(886\) | −15.4370 | − | 11.2156i | −0.518615 | − | 0.376796i | ||||
\(887\) | −25.8740 | + | 18.7986i | −0.868766 | + | 0.631195i | −0.930255 | − | 0.366913i | \(-0.880415\pi\) |
0.0614899 | + | 0.998108i | \(0.480415\pi\) | |||||||
\(888\) | 0.0450850 | − | 0.138757i | 0.00151295 | − | 0.00465639i | ||||
\(889\) | −10.4283 | + | 7.57661i | −0.349754 | + | 0.254111i | ||||
\(890\) | 1.97058 | + | 6.06481i | 0.0660539 | + | 0.203293i | ||||
\(891\) | 0.945865 | + | 2.91107i | 0.0316877 | + | 0.0975246i | ||||
\(892\) | 6.07282 | − | 18.6902i | 0.203333 | − | 0.625795i | ||||
\(893\) | −60.8746 | −2.03709 | ||||||||
\(894\) | −8.72415 | −0.291779 | ||||||||
\(895\) | 2.42434 | − | 7.46134i | 0.0810367 | − | 0.249405i | ||||
\(896\) | 1.26395 | + | 0.918314i | 0.0422256 | + | 0.0306787i | ||||
\(897\) | 7.47050 | − | 5.42763i | 0.249433 | − | 0.181223i | ||||
\(898\) | 27.7017 | 0.924416 | ||||||||
\(899\) | −39.3310 | + | 14.1920i | −1.31176 | + | 0.473331i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −68.5793 | + | 49.8257i | −2.28471 | + | 1.65994i | ||||
\(902\) | 1.56377 | + | 1.13615i | 0.0520679 | + | 0.0378295i | ||||
\(903\) | −4.21073 | + | 12.9593i | −0.140124 | + | 0.431258i | ||||
\(904\) | 13.7659 | 0.457849 | ||||||||
\(905\) | 18.1308 | 0.602689 | ||||||||
\(906\) | −5.43249 | + | 16.7195i | −0.180482 | + | 0.555468i | ||||
\(907\) | −7.38312 | − | 22.7229i | −0.245152 | − | 0.754501i | −0.995611 | − | 0.0935844i | \(-0.970168\pi\) |
0.750459 | − | 0.660917i | \(-0.229832\pi\) | |||||||
\(908\) | 7.50228 | + | 23.0896i | 0.248972 | + | 0.766256i | ||||
\(909\) | 3.30237 | − | 2.39931i | 0.109533 | − | 0.0795801i | ||||
\(910\) | 3.00823 | − | 9.25839i | 0.0997220 | − | 0.306913i | ||||
\(911\) | 12.0984 | − | 8.79000i | 0.400838 | − | 0.291226i | −0.369044 | − | 0.929412i | \(-0.620315\pi\) |
0.769882 | + | 0.638186i | \(0.220315\pi\) | |||||||
\(912\) | −5.71245 | − | 4.15034i | −0.189158 | − | 0.137432i | ||||
\(913\) | −3.10312 | − | 9.55042i | −0.102698 | − | 0.316073i | ||||
\(914\) | −21.8233 | − | 15.8555i | −0.721850 | − | 0.524455i | ||||
\(915\) | −9.10533 | − | 6.61541i | −0.301013 | − | 0.218699i | ||||
\(916\) | −7.77800 | − | 23.9382i | −0.256992 | − | 0.790941i | ||||
\(917\) | 16.3846 | + | 11.9041i | 0.541068 | + | 0.393109i | ||||
\(918\) | −5.77070 | + | 4.19266i | −0.190461 | + | 0.138378i | ||||
\(919\) | 5.03837 | − | 15.5065i | 0.166201 | − | 0.511513i | −0.832922 | − | 0.553390i | \(-0.813334\pi\) |
0.999123 | + | 0.0418773i | \(0.0133339\pi\) | |||||||
\(920\) | 1.19893 | − | 0.871071i | 0.0395274 | − | 0.0287184i | ||||
\(921\) | −5.09849 | − | 15.6915i | −0.168001 | − | 0.517054i | ||||
\(922\) | 5.32443 | + | 16.3869i | 0.175351 | + | 0.539674i | ||||
\(923\) | −7.28178 | + | 22.4110i | −0.239683 | + | 0.737667i | ||||
\(924\) | 4.78211 | 0.157320 | ||||||||
\(925\) | −0.145898 | −0.00479710 | ||||||||
\(926\) | −9.71140 | + | 29.8886i | −0.319137 | + | 0.982201i | ||||
\(927\) | −8.40457 | − | 6.10628i | −0.276042 | − | 0.200557i | ||||
\(928\) | −6.07561 | + | 4.41419i | −0.199442 | + | 0.144903i | ||||
\(929\) | 46.0922 | 1.51224 | 0.756119 | − | 0.654435i | \(-0.227093\pi\) | ||||
0.756119 | + | 0.654435i | \(0.227093\pi\) | |||||||
\(930\) | 5.34781 | + | 1.54950i | 0.175362 | + | 0.0508102i | ||||
\(931\) | 32.1919 | 1.05505 | ||||||||
\(932\) | −2.27586 | + | 1.65351i | −0.0745482 | + | 0.0541625i | ||||
\(933\) | 2.80886 | + | 2.04076i | 0.0919581 | + | 0.0668115i | ||||
\(934\) | −7.70234 | + | 23.7054i | −0.252028 | + | 0.775663i | ||||
\(935\) | 21.8332 | 0.714022 | ||||||||
\(936\) | 6.23099 | 0.203666 | ||||||||
\(937\) | −4.54937 | + | 14.0015i | −0.148622 | + | 0.457410i | −0.997459 | − | 0.0712440i | \(-0.977303\pi\) |
0.848837 | + | 0.528654i | \(0.177303\pi\) | |||||||
\(938\) | 2.97523 | + | 9.15683i | 0.0971448 | + | 0.298981i | ||||
\(939\) | −2.57594 | − | 7.92792i | −0.0840625 | − | 0.258718i | ||||
\(940\) | 6.97476 | − | 5.06746i | 0.227491 | − | 0.165282i | ||||
\(941\) | 5.55287 | − | 17.0900i | 0.181018 | − | 0.557117i | −0.818839 | − | 0.574024i | \(-0.805382\pi\) |
0.999857 | + | 0.0169063i | \(0.00538171\pi\) | |||||||
\(942\) | 7.39870 | − | 5.37547i | 0.241063 | − | 0.175142i | ||||
\(943\) | 0.757114 | + | 0.550076i | 0.0246550 | + | 0.0179129i | ||||
\(944\) | 1.12364 | + | 3.45820i | 0.0365713 | + | 0.112555i | ||||
\(945\) | 1.26395 | + | 0.918314i | 0.0411163 | + | 0.0298728i | ||||
\(946\) | 21.5977 | + | 15.6916i | 0.702201 | + | 0.510179i | ||||
\(947\) | −8.34377 | − | 25.6795i | −0.271136 | − | 0.834471i | −0.990216 | − | 0.139543i | \(-0.955437\pi\) |
0.719080 | − | 0.694927i | \(-0.244563\pi\) | |||||||
\(948\) | 3.17153 | + | 2.30425i | 0.103006 | + | 0.0748386i | ||||
\(949\) | −72.6327 | + | 52.7707i | −2.35776 | + | 1.71301i | ||||
\(950\) | −2.18196 | + | 6.71539i | −0.0707922 | + | 0.217876i | ||||
\(951\) | 7.83546 | − | 5.69280i | 0.254082 | − | 0.184602i | ||||
\(952\) | 3.44370 | + | 10.5986i | 0.111611 | + | 0.343503i | ||||
\(953\) | −8.32380 | − | 25.6180i | −0.269634 | − | 0.829849i | −0.990589 | − | 0.136867i | \(-0.956297\pi\) |
0.720955 | − | 0.692982i | \(-0.243703\pi\) | |||||||
\(954\) | −3.67237 | + | 11.3024i | −0.118897 | + | 0.365929i | ||||
\(955\) | 19.8009 | 0.640741 | ||||||||
\(956\) | 21.0594 | 0.681111 | ||||||||
\(957\) | −7.10331 | + | 21.8618i | −0.229618 | + | 0.706690i | ||||
\(958\) | −27.6467 | − | 20.0865i | −0.893224 | − | 0.648965i | ||||
\(959\) | −0.498088 | + | 0.361882i | −0.0160841 | + | 0.0116858i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | 26.1981 | + | 16.5729i | 0.845099 | + | 0.534609i | ||||
\(962\) | −0.909089 | −0.0293102 | ||||||||
\(963\) | −8.26381 | + | 6.00401i | −0.266298 | + | 0.193477i | ||||
\(964\) | −0.00429803 | − | 0.00312270i | −0.000138430 | − | 0.000100576i | ||||
\(965\) | 6.52687 | − | 20.0877i | 0.210108 | − | 0.646645i | ||||
\(966\) | 2.31530 | 0.0744936 | ||||||||
\(967\) | 4.33890 | 0.139530 | 0.0697648 | − | 0.997563i | \(-0.477775\pi\) | ||||
0.0697648 | + | 0.997563i | \(0.477775\pi\) | |||||||
\(968\) | −0.504005 | + | 1.55117i | −0.0161993 | + | 0.0498564i | ||||
\(969\) | −15.5639 | − | 47.9007i | −0.499984 | − | 1.53879i | ||||
\(970\) | 4.33487 | + | 13.3414i | 0.139184 | + | 0.428365i | ||||
\(971\) | 10.4141 | − | 7.56628i | 0.334204 | − | 0.242813i | −0.408008 | − | 0.912978i | \(-0.633777\pi\) |
0.742212 | + | 0.670165i | \(0.233777\pi\) | |||||||
\(972\) | −0.309017 | + | 0.951057i | −0.00991172 | + | 0.0305052i | ||||
\(973\) | 20.6917 | − | 15.0334i | 0.663345 | − | 0.481948i | ||||
\(974\) | 4.75011 | + | 3.45115i | 0.152203 | + | 0.110582i | ||||
\(975\) | −1.92548 | − | 5.92602i | −0.0616647 | − | 0.189785i | ||||
\(976\) | −9.10533 | − | 6.61541i | −0.291454 | − | 0.211754i | ||||
\(977\) | −8.67888 | − | 6.30557i | −0.277662 | − | 0.201733i | 0.440235 | − | 0.897883i | \(-0.354895\pi\) |
−0.717897 | + | 0.696149i | \(0.754895\pi\) | |||||||
\(978\) | 1.30056 | + | 4.00271i | 0.0415873 | + | 0.127993i | ||||
\(979\) | 15.7912 | + | 11.4730i | 0.504689 | + | 0.366678i | ||||
\(980\) | −3.68841 | + | 2.67979i | −0.117822 | + | 0.0856027i | ||||
\(981\) | 4.54254 | − | 13.9805i | 0.145032 | − | 0.446363i | ||||
\(982\) | 2.75509 | − | 2.00169i | 0.0879184 | − | 0.0638764i | ||||
\(983\) | 7.95923 | + | 24.4960i | 0.253860 | + | 0.781301i | 0.994052 | + | 0.108905i | \(0.0347345\pi\) |
−0.740192 | + | 0.672395i | \(0.765265\pi\) | |||||||
\(984\) | 0.195142 | + | 0.600586i | 0.00622091 | + | 0.0191460i | ||||
\(985\) | 7.02740 | − | 21.6281i | 0.223912 | − | 0.689129i | ||||
\(986\) | −53.5677 | −1.70594 | ||||||||
\(987\) | 13.4693 | 0.428731 | ||||||||
\(988\) | −13.5958 | + | 41.8435i | −0.432539 | + | 1.33122i | ||||
\(989\) | 10.4567 | + | 7.59724i | 0.332504 | + | 0.241578i | ||||
\(990\) | 2.47631 | − | 1.79914i | 0.0787022 | − | 0.0571805i | ||||
\(991\) | 37.5355 | 1.19235 | 0.596177 | − | 0.802853i | \(-0.296686\pi\) | ||||
0.596177 | + | 0.802853i | \(0.296686\pi\) | |||||||
\(992\) | 5.34781 | + | 1.54950i | 0.169793 | + | 0.0491968i | ||||
\(993\) | −19.5630 | −0.620814 | ||||||||
\(994\) | −4.78000 | + | 3.47288i | −0.151613 | + | 0.110153i | ||||
\(995\) | 5.99062 | + | 4.35244i | 0.189915 | + | 0.137982i | ||||
\(996\) | 1.01380 | − | 3.12015i | 0.0321234 | − | 0.0988658i | ||||
\(997\) | 22.3831 | 0.708880 | 0.354440 | − | 0.935079i | \(-0.384671\pi\) | ||||
0.354440 | + | 0.935079i | \(0.384671\pi\) | |||||||
\(998\) | 34.0782 | 1.07873 | ||||||||
\(999\) | 0.0450850 | − | 0.138757i | 0.00142643 | − | 0.00439009i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.n.d.481.1 | ✓ | 12 | |
31.2 | even | 5 | inner | 930.2.n.d.901.1 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.n.d.481.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
930.2.n.d.901.1 | yes | 12 | 31.2 | even | 5 | inner |