Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.3 | ||
Character | \(\chi\) | \(=\) | 76.59 |
Dual form | 76.2.k.a.67.3 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15089 | + | 0.821857i | −0.813803 | + | 0.581141i | ||||
\(3\) | −1.21573 | − | 1.02012i | −0.701900 | − | 0.588964i | 0.220413 | − | 0.975407i | \(-0.429259\pi\) |
−0.922314 | + | 0.386442i | \(0.873704\pi\) | |||||||
\(4\) | 0.649103 | − | 1.89174i | 0.324551 | − | 0.945868i | ||||
\(5\) | 2.19521 | − | 0.798993i | 0.981730 | − | 0.357320i | 0.199217 | − | 0.979955i | \(-0.436160\pi\) |
0.782512 | + | 0.622635i | \(0.213938\pi\) | |||||||
\(6\) | 2.23756 | + | 0.174889i | 0.913480 | + | 0.0713983i | ||||
\(7\) | 1.56922 | − | 0.905989i | 0.593109 | − | 0.342432i | −0.173217 | − | 0.984884i | \(-0.555416\pi\) |
0.766326 | + | 0.642452i | \(0.222083\pi\) | |||||||
\(8\) | 0.807690 | + | 2.71065i | 0.285561 | + | 0.958360i | ||||
\(9\) | −0.0835893 | − | 0.474059i | −0.0278631 | − | 0.158020i | ||||
\(10\) | −1.86980 | + | 2.72371i | −0.591281 | + | 0.861311i | ||||
\(11\) | 1.01630 | + | 0.586764i | 0.306427 | + | 0.176916i | 0.645327 | − | 0.763907i | \(-0.276721\pi\) |
−0.338899 | + | 0.940823i | \(0.610055\pi\) | |||||||
\(12\) | −2.71892 | + | 1.63767i | −0.784885 | + | 0.472756i | ||||
\(13\) | −2.13186 | − | 2.54065i | −0.591270 | − | 0.704649i | 0.384579 | − | 0.923092i | \(-0.374347\pi\) |
−0.975850 | + | 0.218443i | \(0.929902\pi\) | |||||||
\(14\) | −1.06141 | + | 2.33237i | −0.283673 | + | 0.623352i | ||||
\(15\) | −3.48385 | − | 1.26802i | −0.899525 | − | 0.327400i | ||||
\(16\) | −3.15733 | − | 2.45586i | −0.789333 | − | 0.613965i | ||||
\(17\) | −1.18980 | + | 6.74770i | −0.288569 | + | 1.63656i | 0.403682 | + | 0.914899i | \(0.367730\pi\) |
−0.692251 | + | 0.721657i | \(0.743381\pi\) | |||||||
\(18\) | 0.485810 | + | 0.476892i | 0.114507 | + | 0.112404i | ||||
\(19\) | 2.39394 | − | 3.64267i | 0.549207 | − | 0.835686i | ||||
\(20\) | −0.0865640 | − | 4.67139i | −0.0193563 | − | 1.04456i | ||||
\(21\) | −2.83196 | − | 0.499350i | −0.617983 | − | 0.108967i | ||||
\(22\) | −1.65189 | + | 0.159955i | −0.352184 | + | 0.0341026i | ||||
\(23\) | −1.21130 | + | 3.32803i | −0.252574 | + | 0.693943i | 0.747001 | + | 0.664822i | \(0.231493\pi\) |
−0.999576 | + | 0.0291203i | \(0.990729\pi\) | |||||||
\(24\) | 1.78325 | − | 4.11935i | 0.364004 | − | 0.840859i | ||||
\(25\) | 0.350354 | − | 0.293982i | 0.0700709 | − | 0.0587965i | ||||
\(26\) | 4.54158 | + | 1.17193i | 0.890678 | + | 0.229834i | ||||
\(27\) | −2.76250 | + | 4.78479i | −0.531644 | + | 0.920834i | ||||
\(28\) | −0.695308 | − | 3.55663i | −0.131401 | − | 0.672140i | ||||
\(29\) | −0.974984 | + | 0.171916i | −0.181050 | + | 0.0319240i | −0.263438 | − | 0.964676i | \(-0.584856\pi\) |
0.0823880 | + | 0.996600i | \(0.473745\pi\) | |||||||
\(30\) | 5.05166 | − | 1.40387i | 0.922302 | − | 0.256311i | ||||
\(31\) | 5.07007 | + | 8.78162i | 0.910611 | + | 1.57722i | 0.813203 | + | 0.581980i | \(0.197722\pi\) |
0.0974082 | + | 0.995245i | \(0.468945\pi\) | |||||||
\(32\) | 5.65211 | + | 0.231556i | 0.999162 | + | 0.0409337i | ||||
\(33\) | −0.636982 | − | 1.75009i | −0.110884 | − | 0.304652i | ||||
\(34\) | −4.17631 | − | 8.74371i | −0.716231 | − | 1.49953i | ||||
\(35\) | 2.72089 | − | 3.24263i | 0.459915 | − | 0.548105i | ||||
\(36\) | −0.951052 | − | 0.149584i | −0.158509 | − | 0.0249306i | ||||
\(37\) | 3.26731i | 0.537143i | 0.963260 | + | 0.268571i | \(0.0865515\pi\) | ||||
−0.963260 | + | 0.268571i | \(0.913448\pi\) | |||||||
\(38\) | 0.238594 | + | 6.15979i | 0.0387051 | + | 0.999251i | ||||
\(39\) | 5.26347i | 0.842830i | ||||||||
\(40\) | 3.93884 | + | 5.30513i | 0.622786 | + | 0.838814i | ||||
\(41\) | 6.74550 | − | 8.03898i | 1.05347 | − | 1.25548i | 0.0876811 | − | 0.996149i | \(-0.472054\pi\) |
0.965789 | − | 0.259328i | \(-0.0835012\pi\) | |||||||
\(42\) | 3.66967 | − | 1.75276i | 0.566242 | − | 0.270457i | ||||
\(43\) | −2.85313 | − | 7.83891i | −0.435098 | − | 1.19542i | −0.942645 | − | 0.333798i | \(-0.891670\pi\) |
0.507546 | − | 0.861625i | \(-0.330553\pi\) | |||||||
\(44\) | 1.76969 | − | 1.54171i | 0.266790 | − | 0.232421i | ||||
\(45\) | −0.562266 | − | 0.973873i | −0.0838176 | − | 0.145176i | ||||
\(46\) | −1.34109 | − | 4.82572i | −0.197732 | − | 0.711514i | ||||
\(47\) | −6.49876 | + | 1.14591i | −0.947942 | + | 0.167148i | −0.626185 | − | 0.779674i | \(-0.715385\pi\) |
−0.321757 | + | 0.946822i | \(0.604273\pi\) | |||||||
\(48\) | 1.33319 | + | 6.20650i | 0.192429 | + | 0.895831i | ||||
\(49\) | −1.85837 | + | 3.21879i | −0.265481 | + | 0.459827i | ||||
\(50\) | −0.161609 | + | 0.626283i | −0.0228549 | + | 0.0885698i | ||||
\(51\) | 8.32990 | − | 6.98962i | 1.16642 | − | 0.978743i | ||||
\(52\) | −6.19003 | + | 2.38377i | −0.858402 | + | 0.330569i | ||||
\(53\) | −0.859106 | + | 2.36038i | −0.118007 | + | 0.324223i | −0.984607 | − | 0.174781i | \(-0.944078\pi\) |
0.866600 | + | 0.499003i | \(0.166301\pi\) | |||||||
\(54\) | −0.753075 | − | 7.77716i | −0.102481 | − | 1.05834i | ||||
\(55\) | 2.69983 | + | 0.476052i | 0.364044 | + | 0.0641908i | ||||
\(56\) | 3.72326 | + | 3.52185i | 0.497542 | + | 0.470627i | ||||
\(57\) | −6.62632 | + | 1.98640i | −0.877678 | + | 0.263105i | ||||
\(58\) | 0.980811 | − | 0.999154i | 0.128787 | − | 0.131195i | ||||
\(59\) | 0.0105140 | − | 0.0596279i | 0.00136881 | − | 0.00776289i | −0.984116 | − | 0.177528i | \(-0.943190\pi\) |
0.985485 | + | 0.169765i | \(0.0543010\pi\) | |||||||
\(60\) | −4.66013 | + | 5.76745i | −0.601620 | + | 0.744574i | ||||
\(61\) | 2.43900 | + | 0.887725i | 0.312283 | + | 0.113662i | 0.493407 | − | 0.869799i | \(-0.335751\pi\) |
−0.181124 | + | 0.983460i | \(0.557974\pi\) | |||||||
\(62\) | −13.0523 | − | 5.93982i | −1.65765 | − | 0.754357i | ||||
\(63\) | −0.560662 | − | 0.668171i | −0.0706367 | − | 0.0841816i | ||||
\(64\) | −6.69527 | + | 4.37873i | −0.836909 | + | 0.547342i | ||||
\(65\) | −6.70984 | − | 3.87393i | −0.832253 | − | 0.480502i | ||||
\(66\) | 2.17142 | + | 1.49066i | 0.267284 | + | 0.183487i | ||||
\(67\) | −0.731326 | − | 4.14755i | −0.0893456 | − | 0.506704i | −0.996334 | − | 0.0855486i | \(-0.972736\pi\) |
0.906988 | − | 0.421156i | \(-0.138375\pi\) | |||||||
\(68\) | 11.9926 | + | 6.63074i | 1.45431 | + | 0.804095i | ||||
\(69\) | 4.86759 | − | 2.81031i | 0.585990 | − | 0.338321i | ||||
\(70\) | −0.466472 | + | 5.96811i | −0.0557540 | + | 0.713325i | ||||
\(71\) | −14.6166 | + | 5.32002i | −1.73468 | + | 0.631371i | −0.998946 | − | 0.0459036i | \(-0.985383\pi\) |
−0.735731 | + | 0.677274i | \(0.763161\pi\) | |||||||
\(72\) | 1.21749 | − | 0.609474i | 0.143483 | − | 0.0718272i | ||||
\(73\) | 5.56052 | + | 4.66583i | 0.650810 | + | 0.546095i | 0.907317 | − | 0.420448i | \(-0.138127\pi\) |
−0.256507 | + | 0.966542i | \(0.582572\pi\) | |||||||
\(74\) | −2.68526 | − | 3.76032i | −0.312155 | − | 0.437128i | ||||
\(75\) | −0.725831 | −0.0838118 | ||||||||
\(76\) | −5.33707 | − | 6.89317i | −0.612203 | − | 0.790700i | ||||
\(77\) | 2.12641 | 0.242326 | ||||||||
\(78\) | −4.32582 | − | 6.05769i | −0.489803 | − | 0.685898i | ||||
\(79\) | 2.92379 | + | 2.45335i | 0.328952 | + | 0.276024i | 0.792273 | − | 0.610167i | \(-0.208898\pi\) |
−0.463320 | + | 0.886191i | \(0.653342\pi\) | |||||||
\(80\) | −8.89324 | − | 2.86846i | −0.994294 | − | 0.320703i | ||||
\(81\) | 6.88247 | − | 2.50501i | 0.764718 | − | 0.278335i | ||||
\(82\) | −1.15645 | + | 14.7958i | −0.127709 | + | 1.63393i | ||||
\(83\) | 7.29036 | − | 4.20909i | 0.800220 | − | 0.462008i | −0.0433278 | − | 0.999061i | \(-0.513796\pi\) |
0.843548 | + | 0.537053i | \(0.180463\pi\) | |||||||
\(84\) | −2.78287 | + | 5.03318i | −0.303636 | + | 0.549165i | ||||
\(85\) | 2.77949 | + | 15.7633i | 0.301478 | + | 1.70977i | ||||
\(86\) | 9.72611 | + | 6.67687i | 1.04879 | + | 0.719986i | ||||
\(87\) | 1.36069 | + | 0.785594i | 0.145881 | + | 0.0842245i | ||||
\(88\) | −0.769654 | + | 3.22877i | −0.0820454 | + | 0.344188i | ||||
\(89\) | −4.45745 | − | 5.31218i | −0.472488 | − | 0.563090i | 0.476186 | − | 0.879345i | \(-0.342019\pi\) |
−0.948674 | + | 0.316255i | \(0.897574\pi\) | |||||||
\(90\) | 1.44749 | + | 0.658720i | 0.152579 | + | 0.0694352i | ||||
\(91\) | −5.64715 | − | 2.05539i | −0.591982 | − | 0.215464i | ||||
\(92\) | 5.50950 | + | 4.45170i | 0.574405 | + | 0.464122i | ||||
\(93\) | 2.79445 | − | 15.8481i | 0.289771 | − | 1.64337i | ||||
\(94\) | 6.53760 | − | 6.65987i | 0.674302 | − | 0.686913i | ||||
\(95\) | 2.34474 | − | 9.90919i | 0.240565 | − | 1.01666i | ||||
\(96\) | −6.63521 | − | 6.04732i | −0.677203 | − | 0.617202i | ||||
\(97\) | 9.53373 | + | 1.68105i | 0.968004 | + | 0.170685i | 0.635231 | − | 0.772322i | \(-0.280905\pi\) |
0.332773 | + | 0.943007i | \(0.392016\pi\) | |||||||
\(98\) | −0.506603 | − | 5.23179i | −0.0511746 | − | 0.528490i | ||||
\(99\) | 0.193208 | − | 0.530835i | 0.0194181 | − | 0.0533509i | ||||
\(100\) | −0.328721 | − | 0.853603i | −0.0328721 | − | 0.0853603i | ||||
\(101\) | −1.07323 | + | 0.900546i | −0.106790 | + | 0.0896076i | −0.694619 | − | 0.719377i | \(-0.744427\pi\) |
0.587829 | + | 0.808985i | \(0.299983\pi\) | |||||||
\(102\) | −3.84235 | + | 14.8903i | −0.380449 | + | 1.47436i | ||||
\(103\) | 2.55488 | − | 4.42519i | 0.251740 | − | 0.436027i | −0.712265 | − | 0.701911i | \(-0.752330\pi\) |
0.964005 | + | 0.265884i | \(0.0856638\pi\) | |||||||
\(104\) | 5.16493 | − | 7.83078i | 0.506463 | − | 0.767871i | ||||
\(105\) | −6.61573 | + | 1.16653i | −0.645629 | + | 0.113842i | ||||
\(106\) | −0.951153 | − | 3.42260i | −0.0923841 | − | 0.332432i | ||||
\(107\) | −0.566591 | − | 0.981364i | −0.0547744 | − | 0.0948721i | 0.837338 | − | 0.546685i | \(-0.184111\pi\) |
−0.892112 | + | 0.451813i | \(0.850777\pi\) | |||||||
\(108\) | 7.25842 | + | 8.33174i | 0.698442 | + | 0.801722i | ||||
\(109\) | 0.407072 | + | 1.11842i | 0.0389904 | + | 0.107125i | 0.957660 | − | 0.287901i | \(-0.0929575\pi\) |
−0.918670 | + | 0.395027i | \(0.870735\pi\) | |||||||
\(110\) | −3.49845 | + | 1.67099i | −0.333564 | + | 0.159322i | ||||
\(111\) | 3.33304 | − | 3.97216i | 0.316358 | − | 0.377021i | ||||
\(112\) | −7.17953 | − | 0.993277i | −0.678402 | − | 0.0938559i | ||||
\(113\) | − | 7.84826i | − | 0.738302i | −0.929369 | − | 0.369151i | \(-0.879648\pi\) | ||
0.929369 | − | 0.369151i | \(-0.120352\pi\) | |||||||
\(114\) | 5.99364 | − | 7.73202i | 0.561356 | − | 0.724170i | ||||
\(115\) | 8.27357i | 0.771514i | ||||||||
\(116\) | −0.307645 | + | 1.95600i | −0.0285641 | + | 0.181610i | ||||
\(117\) | −1.02622 | + | 1.22300i | −0.0948736 | + | 0.113066i | ||||
\(118\) | 0.0369051 | + | 0.0772662i | 0.00339739 | + | 0.00711293i | ||||
\(119\) | 4.24628 | + | 11.6666i | 0.389256 | + | 1.06947i | ||||
\(120\) | 0.623285 | − | 10.4677i | 0.0568979 | − | 0.955562i | ||||
\(121\) | −4.81142 | − | 8.33362i | −0.437402 | − | 0.757602i | ||||
\(122\) | −3.53661 | + | 0.982837i | −0.320190 | + | 0.0889819i | ||||
\(123\) | −16.4014 | + | 2.89200i | −1.47886 | + | 0.260763i | ||||
\(124\) | 19.9035 | − | 3.89106i | 1.78739 | − | 0.349428i | ||||
\(125\) | −5.30603 | + | 9.19032i | −0.474586 | + | 0.822007i | ||||
\(126\) | 1.19440 | + | 0.308208i | 0.106406 | + | 0.0274574i | ||||
\(127\) | 7.87179 | − | 6.60521i | 0.698508 | − | 0.586118i | −0.222841 | − | 0.974855i | \(-0.571533\pi\) |
0.921349 | + | 0.388737i | \(0.127089\pi\) | |||||||
\(128\) | 4.10684 | − | 10.5420i | 0.362997 | − | 0.931790i | ||||
\(129\) | −4.52797 | + | 12.4405i | −0.398666 | + | 1.09532i | ||||
\(130\) | 10.9061 | − | 1.05606i | 0.956529 | − | 0.0926223i | ||||
\(131\) | −6.12205 | − | 1.07948i | −0.534886 | − | 0.0943148i | −0.100320 | − | 0.994955i | \(-0.531987\pi\) |
−0.434565 | + | 0.900640i | \(0.643098\pi\) | |||||||
\(132\) | −3.72418 | + | 0.0690115i | −0.324148 | + | 0.00600668i | ||||
\(133\) | 0.456389 | − | 7.88503i | 0.0395740 | − | 0.683719i | ||||
\(134\) | 4.25037 | + | 4.17234i | 0.367176 | + | 0.360435i | ||||
\(135\) | −2.24127 | + | 12.7109i | −0.192898 | + | 1.09398i | ||||
\(136\) | −19.2516 | + | 2.22491i | −1.65082 | + | 0.190784i | ||||
\(137\) | −2.75780 | − | 1.00376i | −0.235615 | − | 0.0857568i | 0.221514 | − | 0.975157i | \(-0.428900\pi\) |
−0.457129 | + | 0.889400i | \(0.651122\pi\) | |||||||
\(138\) | −3.29240 | + | 7.23482i | −0.280268 | + | 0.615869i | ||||
\(139\) | 11.9779 | + | 14.2747i | 1.01595 | + | 1.21077i | 0.977376 | + | 0.211510i | \(0.0678380\pi\) |
0.0385770 | + | 0.999256i | \(0.487718\pi\) | |||||||
\(140\) | −4.36807 | − | 7.25201i | −0.369169 | − | 0.612907i | ||||
\(141\) | 9.06968 | + | 5.23638i | 0.763805 | + | 0.440983i | ||||
\(142\) | 12.4499 | − | 18.1356i | 1.04477 | − | 1.52190i | ||||
\(143\) | −0.675855 | − | 3.83297i | −0.0565179 | − | 0.320529i | ||||
\(144\) | −0.900303 | + | 1.70204i | −0.0750253 | + | 0.141837i | ||||
\(145\) | −2.00294 | + | 1.15640i | −0.166335 | + | 0.0960336i | ||||
\(146\) | −10.2342 | − | 0.799914i | −0.846989 | − | 0.0662013i | ||||
\(147\) | 5.54280 | − | 2.01742i | 0.457163 | − | 0.166394i | ||||
\(148\) | 6.18089 | + | 2.12082i | 0.508066 | + | 0.174330i | ||||
\(149\) | −1.24200 | − | 1.04216i | −0.101749 | − | 0.0853774i | 0.590494 | − | 0.807042i | \(-0.298933\pi\) |
−0.692243 | + | 0.721665i | \(0.743377\pi\) | |||||||
\(150\) | 0.835353 | − | 0.596529i | 0.0682063 | − | 0.0487064i | ||||
\(151\) | −8.25535 | −0.671811 | −0.335905 | − | 0.941896i | \(-0.609042\pi\) | ||||
−0.335905 | + | 0.941896i | \(0.609042\pi\) | |||||||
\(152\) | 11.8076 | + | 3.54698i | 0.957721 | + | 0.287698i | ||||
\(153\) | 3.29826 | 0.266648 | ||||||||
\(154\) | −2.44726 | + | 1.74760i | −0.197206 | + | 0.140826i | ||||
\(155\) | 18.1463 | + | 15.2266i | 1.45755 | + | 1.22303i | ||||
\(156\) | 9.95710 | + | 3.41653i | 0.797206 | + | 0.273542i | ||||
\(157\) | −12.1664 | + | 4.42820i | −0.970983 | + | 0.353409i | −0.778328 | − | 0.627857i | \(-0.783932\pi\) |
−0.192655 | + | 0.981267i | \(0.561710\pi\) | |||||||
\(158\) | −5.38128 | − | 0.420605i | −0.428111 | − | 0.0334615i | ||||
\(159\) | 3.45230 | − | 1.99318i | 0.273785 | − | 0.158070i | ||||
\(160\) | 12.5926 | − | 4.00768i | 0.995533 | − | 0.316835i | ||||
\(161\) | 1.11436 | + | 6.31984i | 0.0878237 | + | 0.498073i | ||||
\(162\) | −5.86221 | + | 8.53940i | −0.460579 | + | 0.670919i | ||||
\(163\) | −17.5402 | − | 10.1269i | −1.37386 | − | 0.793196i | −0.382445 | − | 0.923978i | \(-0.624918\pi\) |
−0.991411 | + | 0.130782i | \(0.958251\pi\) | |||||||
\(164\) | −10.8291 | − | 17.9788i | −0.845610 | − | 1.40391i | ||||
\(165\) | −2.79662 | − | 3.33288i | −0.217717 | − | 0.259465i | ||||
\(166\) | −4.93114 | + | 10.8358i | −0.382731 | + | 0.841024i | ||||
\(167\) | 0.241205 | + | 0.0877915i | 0.0186650 | + | 0.00679351i | 0.351336 | − | 0.936250i | \(-0.385728\pi\) |
−0.332671 | + | 0.943043i | \(0.607950\pi\) | |||||||
\(168\) | −0.933776 | − | 8.07977i | −0.0720424 | − | 0.623368i | ||||
\(169\) | 0.347349 | − | 1.96991i | 0.0267192 | − | 0.151532i | ||||
\(170\) | −16.1541 | − | 15.8575i | −1.23896 | − | 1.21621i | ||||
\(171\) | −1.92695 | − | 0.830378i | −0.147357 | − | 0.0635006i | ||||
\(172\) | −16.6811 | + | 0.309112i | −1.27192 | + | 0.0235696i | ||||
\(173\) | −5.11056 | − | 0.901129i | −0.388548 | − | 0.0685116i | −0.0240384 | − | 0.999711i | \(-0.507652\pi\) |
−0.364510 | + | 0.931199i | \(0.618764\pi\) | |||||||
\(174\) | −2.21165 | + | 0.214158i | −0.167665 | + | 0.0162353i | ||||
\(175\) | 0.283438 | − | 0.778740i | 0.0214259 | − | 0.0588672i | ||||
\(176\) | −1.76780 | − | 4.34851i | −0.133253 | − | 0.327781i | ||||
\(177\) | −0.0736095 | + | 0.0617657i | −0.00553283 | + | 0.00464259i | ||||
\(178\) | 9.49589 | + | 2.45036i | 0.711747 | + | 0.183662i | ||||
\(179\) | −0.140150 | + | 0.242747i | −0.0104753 | + | 0.0181437i | −0.871216 | − | 0.490901i | \(-0.836668\pi\) |
0.860740 | + | 0.509044i | \(0.170001\pi\) | |||||||
\(180\) | −2.20728 | + | 0.431515i | −0.164521 | + | 0.0321632i | ||||
\(181\) | −20.5607 | + | 3.62540i | −1.52826 | + | 0.269474i | −0.873675 | − | 0.486511i | \(-0.838269\pi\) |
−0.654589 | + | 0.755985i | \(0.727158\pi\) | |||||||
\(182\) | 8.18849 | − | 2.27561i | 0.606971 | − | 0.168680i | ||||
\(183\) | −2.05958 | − | 3.56730i | −0.152249 | − | 0.263702i | ||||
\(184\) | −9.99950 | − | 0.595409i | −0.737173 | − | 0.0438941i | ||||
\(185\) | 2.61056 | + | 7.17245i | 0.191932 | + | 0.527329i | ||||
\(186\) | 9.80877 | + | 20.5361i | 0.719214 | + | 1.50578i | ||||
\(187\) | −5.16850 | + | 6.15958i | −0.377958 | + | 0.450433i | ||||
\(188\) | −2.05061 | + | 13.0378i | −0.149556 | + | 0.950876i | ||||
\(189\) | 10.0112i | 0.728206i | ||||||||
\(190\) | 5.44540 | + | 13.3314i | 0.395051 | + | 0.967164i | ||||
\(191\) | − | 15.2578i | − | 1.10401i | −0.833840 | − | 0.552006i | \(-0.813862\pi\) | ||
0.833840 | − | 0.552006i | \(-0.186138\pi\) | |||||||
\(192\) | 12.6064 | + | 1.50661i | 0.909791 | + | 0.108731i | ||||
\(193\) | 2.65609 | − | 3.16541i | 0.191190 | − | 0.227851i | −0.661931 | − | 0.749565i | \(-0.730263\pi\) |
0.853120 | + | 0.521714i | \(0.174707\pi\) | |||||||
\(194\) | −12.3539 | + | 5.90065i | −0.886957 | + | 0.423642i | ||||
\(195\) | 4.20548 | + | 11.5545i | 0.301160 | + | 0.827431i | ||||
\(196\) | 4.88283 | + | 5.60487i | 0.348773 | + | 0.400348i | ||||
\(197\) | −10.4337 | − | 18.0717i | −0.743372 | − | 1.28756i | −0.950951 | − | 0.309340i | \(-0.899892\pi\) |
0.207579 | − | 0.978218i | \(-0.433441\pi\) | |||||||
\(198\) | 0.213909 | + | 0.769723i | 0.0152018 | + | 0.0547018i | ||||
\(199\) | 4.23509 | − | 0.746761i | 0.300218 | − | 0.0529365i | −0.0215103 | − | 0.999769i | \(-0.506847\pi\) |
0.321728 | + | 0.946832i | \(0.395736\pi\) | |||||||
\(200\) | 1.07986 | + | 0.712243i | 0.0763577 | + | 0.0503632i | ||||
\(201\) | −3.34189 | + | 5.78833i | −0.235719 | + | 0.408277i | ||||
\(202\) | 0.495050 | − | 1.91847i | 0.0348316 | − | 0.134983i | ||||
\(203\) | −1.37421 | + | 1.15310i | −0.0964506 | + | 0.0809317i | ||||
\(204\) | −7.81555 | − | 20.2950i | −0.547198 | − | 1.42093i | ||||
\(205\) | 8.38474 | − | 23.0369i | 0.585616 | − | 1.60897i | ||||
\(206\) | 0.696478 | + | 7.19266i | 0.0485259 | + | 0.501137i | ||||
\(207\) | 1.67893 | + | 0.296041i | 0.116694 | + | 0.0205763i | ||||
\(208\) | 0.491498 | + | 13.2572i | 0.0340793 | + | 0.919222i | ||||
\(209\) | 4.57036 | − | 2.29739i | 0.316138 | − | 0.158914i | ||||
\(210\) | 6.65526 | − | 6.77973i | 0.459257 | − | 0.467846i | ||||
\(211\) | 2.59449 | − | 14.7141i | 0.178612 | − | 1.01296i | −0.755279 | − | 0.655403i | \(-0.772499\pi\) |
0.933891 | − | 0.357557i | \(-0.116390\pi\) | |||||||
\(212\) | 3.90756 | + | 3.15733i | 0.268372 | + | 0.216846i | ||||
\(213\) | 23.1969 | + | 8.44298i | 1.58942 | + | 0.578503i | ||||
\(214\) | 1.45863 | + | 0.663787i | 0.0997096 | + | 0.0453756i | ||||
\(215\) | −12.5265 | − | 14.9285i | −0.854298 | − | 1.01811i | ||||
\(216\) | −15.2012 | − | 3.62355i | −1.03431 | − | 0.246552i | ||||
\(217\) | 15.9121 | + | 9.18685i | 1.08018 | + | 0.623644i | ||||
\(218\) | −1.38768 | − | 0.952627i | −0.0939854 | − | 0.0645200i | ||||
\(219\) | −2.00039 | − | 11.3448i | −0.135174 | − | 0.766608i | ||||
\(220\) | 2.65303 | − | 4.79835i | 0.178867 | − | 0.323505i | ||||
\(221\) | 19.6800 | − | 11.3623i | 1.32382 | − | 0.764308i | ||||
\(222\) | −0.571418 | + | 7.31080i | −0.0383511 | + | 0.490669i | ||||
\(223\) | 15.6616 | − | 5.70034i | 1.04878 | − | 0.381723i | 0.240575 | − | 0.970631i | \(-0.422664\pi\) |
0.808200 | + | 0.588907i | \(0.200442\pi\) | |||||||
\(224\) | 9.07919 | − | 4.75739i | 0.606629 | − | 0.317866i | ||||
\(225\) | −0.168651 | − | 0.141515i | −0.0112434 | − | 0.00943432i | ||||
\(226\) | 6.45015 | + | 9.03250i | 0.429057 | + | 0.600833i | ||||
\(227\) | 7.67504 | 0.509410 | 0.254705 | − | 0.967019i | \(-0.418022\pi\) | ||||
0.254705 | + | 0.967019i | \(0.418022\pi\) | |||||||
\(228\) | −0.543414 | + | 13.8246i | −0.0359885 | + | 0.915559i | ||||
\(229\) | 15.6098 | 1.03153 | 0.515763 | − | 0.856732i | \(-0.327509\pi\) | ||||
0.515763 | + | 0.856732i | \(0.327509\pi\) | |||||||
\(230\) | −6.79969 | − | 9.52198i | −0.448358 | − | 0.627861i | ||||
\(231\) | −2.58513 | − | 2.16918i | −0.170089 | − | 0.142722i | ||||
\(232\) | −1.25349 | − | 2.50399i | −0.0822956 | − | 0.164395i | ||||
\(233\) | 17.7513 | − | 6.46096i | 1.16293 | − | 0.423272i | 0.312786 | − | 0.949824i | \(-0.398738\pi\) |
0.850143 | + | 0.526552i | \(0.176515\pi\) | |||||||
\(234\) | 0.175935 | − | 2.25094i | 0.0115012 | − | 0.147148i | ||||
\(235\) | −13.3506 | + | 7.70798i | −0.870898 | + | 0.502813i | ||||
\(236\) | −0.105976 | − | 0.0585943i | −0.00689842 | − | 0.00381417i | ||||
\(237\) | −1.05183 | − | 5.96522i | −0.0683236 | − | 0.387482i | ||||
\(238\) | −14.4752 | − | 9.93711i | −0.938291 | − | 0.644127i | ||||
\(239\) | 2.32121 | + | 1.34015i | 0.150146 | + | 0.0866870i | 0.573191 | − | 0.819422i | \(-0.305705\pi\) |
−0.423045 | + | 0.906109i | \(0.639039\pi\) | |||||||
\(240\) | 7.88558 | + | 12.5594i | 0.509012 | + | 0.810705i | ||||
\(241\) | −4.69158 | − | 5.59121i | −0.302211 | − | 0.360161i | 0.593471 | − | 0.804855i | \(-0.297757\pi\) |
−0.895683 | + | 0.444694i | \(0.853313\pi\) | |||||||
\(242\) | 12.3865 | + | 5.63680i | 0.796232 | + | 0.362347i | ||||
\(243\) | 4.65281 | + | 1.69348i | 0.298478 | + | 0.108637i | ||||
\(244\) | 3.26251 | − | 4.03773i | 0.208861 | − | 0.258489i | ||||
\(245\) | −1.50773 | + | 8.55075i | −0.0963252 | + | 0.546287i | ||||
\(246\) | 16.4994 | − | 16.8080i | 1.05196 | − | 1.07164i | ||||
\(247\) | −14.3583 | + | 1.68351i | −0.913595 | + | 0.107119i | ||||
\(248\) | −19.7089 | + | 20.8360i | −1.25151 | + | 1.32309i | ||||
\(249\) | −13.1568 | − | 2.31991i | −0.833781 | − | 0.147018i | ||||
\(250\) | −1.44646 | − | 14.9379i | −0.0914820 | − | 0.944753i | ||||
\(251\) | −3.91516 | + | 10.7568i | −0.247122 | + | 0.678963i | 0.752666 | + | 0.658402i | \(0.228767\pi\) |
−0.999789 | + | 0.0205610i | \(0.993455\pi\) | |||||||
\(252\) | −1.62793 | + | 0.626913i | −0.102550 | + | 0.0394918i | ||||
\(253\) | −3.18382 | + | 2.67154i | −0.200165 | + | 0.167959i | ||||
\(254\) | −3.63103 | + | 14.0714i | −0.227831 | + | 0.882916i | ||||
\(255\) | 12.7013 | − | 21.9992i | 0.795384 | − | 1.37765i | ||||
\(256\) | 3.93749 | + | 15.5079i | 0.246093 | + | 0.969246i | ||||
\(257\) | 8.44341 | − | 1.48880i | 0.526685 | − | 0.0928688i | 0.0960181 | − | 0.995380i | \(-0.469389\pi\) |
0.430667 | + | 0.902511i | \(0.358278\pi\) | |||||||
\(258\) | −5.01311 | − | 18.0390i | −0.312102 | − | 1.12306i | ||||
\(259\) | 2.96015 | + | 5.12713i | 0.183935 | + | 0.318584i | ||||
\(260\) | −11.6838 | + | 10.1787i | −0.724600 | + | 0.631254i | ||||
\(261\) | 0.162996 | + | 0.447829i | 0.0100892 | + | 0.0277199i | ||||
\(262\) | 7.93299 | − | 3.78908i | 0.490102 | − | 0.234090i | ||||
\(263\) | −19.3940 | + | 23.1129i | −1.19589 | + | 1.42520i | −0.316835 | + | 0.948481i | \(0.602620\pi\) |
−0.879053 | + | 0.476723i | \(0.841824\pi\) | |||||||
\(264\) | 4.22941 | − | 3.14017i | 0.260302 | − | 0.193264i | ||||
\(265\) | 5.86795i | 0.360465i | ||||||||
\(266\) | 5.95511 | + | 9.44990i | 0.365131 | + | 0.579411i | ||||
\(267\) | 11.0053i | 0.673511i | ||||||||
\(268\) | −8.32078 | − | 1.30871i | −0.508273 | − | 0.0799424i | ||||
\(269\) | −11.2344 | + | 13.3887i | −0.684974 | + | 0.816321i | −0.990738 | − | 0.135787i | \(-0.956644\pi\) |
0.305764 | + | 0.952107i | \(0.401088\pi\) | |||||||
\(270\) | −7.86705 | − | 16.4708i | −0.478774 | − | 1.00238i | ||||
\(271\) | 3.44483 | + | 9.46458i | 0.209258 | + | 0.574932i | 0.999272 | − | 0.0381571i | \(-0.0121487\pi\) |
−0.790014 | + | 0.613089i | \(0.789927\pi\) | |||||||
\(272\) | 20.3280 | − | 18.3827i | 1.23257 | − | 1.11462i | ||||
\(273\) | 4.76865 | + | 8.25954i | 0.288612 | + | 0.499890i | ||||
\(274\) | 3.99887 | − | 1.11130i | 0.241581 | − | 0.0671362i | ||||
\(275\) | 0.528565 | − | 0.0932002i | 0.0318737 | − | 0.00562019i | ||||
\(276\) | −2.15679 | − | 11.0324i | −0.129824 | − | 0.664071i | ||||
\(277\) | 8.52155 | − | 14.7598i | 0.512010 | − | 0.886828i | −0.487893 | − | 0.872903i | \(-0.662234\pi\) |
0.999903 | − | 0.0139240i | \(-0.00443230\pi\) | |||||||
\(278\) | −25.5170 | − | 6.58452i | −1.53041 | − | 0.394913i | ||||
\(279\) | 3.73920 | − | 3.13756i | 0.223860 | − | 0.187841i | ||||
\(280\) | 10.9873 | + | 4.75635i | 0.656616 | + | 0.284247i | ||||
\(281\) | −7.37539 | + | 20.2637i | −0.439979 | + | 1.20883i | 0.499527 | + | 0.866298i | \(0.333507\pi\) |
−0.939506 | + | 0.342533i | \(0.888715\pi\) | |||||||
\(282\) | −14.7418 | + | 1.42747i | −0.877860 | + | 0.0850047i | ||||
\(283\) | −7.93108 | − | 1.39846i | −0.471454 | − | 0.0831300i | −0.0671267 | − | 0.997744i | \(-0.521383\pi\) |
−0.404327 | + | 0.914614i | \(0.632494\pi\) | |||||||
\(284\) | 0.576379 | + | 31.1041i | 0.0342018 | + | 1.84569i | ||||
\(285\) | −12.9591 | + | 9.65496i | −0.767629 | + | 0.571911i | ||||
\(286\) | 3.92799 | + | 3.85587i | 0.232267 | + | 0.228002i | ||||
\(287\) | 3.30195 | − | 18.7263i | 0.194908 | − | 1.10538i | ||||
\(288\) | −0.362685 | − | 2.69879i | −0.0213714 | − | 0.159028i | ||||
\(289\) | −28.1410 | − | 10.2425i | −1.65535 | − | 0.602499i | ||||
\(290\) | 1.35477 | − | 2.97702i | 0.0795550 | − | 0.174816i | ||||
\(291\) | −9.87555 | − | 11.7692i | −0.578915 | − | 0.689924i | ||||
\(292\) | 12.4359 | − | 7.49044i | 0.727755 | − | 0.438345i | ||||
\(293\) | −18.5727 | − | 10.7229i | −1.08503 | − | 0.626441i | −0.152779 | − | 0.988260i | \(-0.548822\pi\) |
−0.932248 | + | 0.361820i | \(0.882156\pi\) | |||||||
\(294\) | −4.72114 | + | 6.87722i | −0.275342 | + | 0.401088i | ||||
\(295\) | −0.0245617 | − | 0.139297i | −0.00143004 | − | 0.00811016i | ||||
\(296\) | −8.85655 | + | 2.63897i | −0.514776 | + | 0.153387i | ||||
\(297\) | −5.61508 | + | 3.24187i | −0.325820 | + | 0.188112i | ||||
\(298\) | 2.28592 | + | 0.178669i | 0.132420 | + | 0.0103500i | ||||
\(299\) | 11.0377 | − | 4.01739i | 0.638326 | − | 0.232332i | ||||
\(300\) | −0.471139 | + | 1.37308i | −0.0272012 | + | 0.0792749i | ||||
\(301\) | −11.5792 | − | 9.71606i | −0.667411 | − | 0.560025i | ||||
\(302\) | 9.50101 | − | 6.78472i | 0.546722 | − | 0.390417i | ||||
\(303\) | 2.22341 | 0.127732 | ||||||||
\(304\) | −16.5044 | + | 5.62195i | −0.946590 | + | 0.322441i | ||||
\(305\) | 6.06342 | 0.347191 | ||||||||
\(306\) | −3.79594 | + | 2.71070i | −0.216999 | + | 0.154960i | ||||
\(307\) | 6.36105 | + | 5.33755i | 0.363044 | + | 0.304630i | 0.806003 | − | 0.591912i | \(-0.201627\pi\) |
−0.442958 | + | 0.896542i | \(0.646071\pi\) | |||||||
\(308\) | 1.38026 | − | 4.02260i | 0.0786473 | − | 0.229209i | ||||
\(309\) | −7.62025 | + | 2.77354i | −0.433501 | + | 0.157781i | ||||
\(310\) | −33.3985 | − | 2.61046i | −1.89691 | − | 0.148264i | ||||
\(311\) | 17.7153 | − | 10.2279i | 1.00454 | − | 0.579972i | 0.0949523 | − | 0.995482i | \(-0.469730\pi\) |
0.909589 | + | 0.415510i | \(0.136397\pi\) | |||||||
\(312\) | −14.2674 | + | 4.25125i | −0.807735 | + | 0.240680i | ||||
\(313\) | −1.09670 | − | 6.21967i | −0.0619889 | − | 0.351557i | −0.999988 | − | 0.00491871i | \(-0.998434\pi\) |
0.937999 | − | 0.346638i | \(-0.112677\pi\) | |||||||
\(314\) | 10.3628 | − | 15.0954i | 0.584809 | − | 0.851883i | ||||
\(315\) | −1.76464 | − | 1.01881i | −0.0994260 | − | 0.0574036i | ||||
\(316\) | 6.53894 | − | 3.93857i | 0.367844 | − | 0.221562i | ||||
\(317\) | 11.1327 | + | 13.2675i | 0.625277 | + | 0.745176i | 0.981968 | − | 0.189047i | \(-0.0605397\pi\) |
−0.356692 | + | 0.934222i | \(0.616095\pi\) | |||||||
\(318\) | −2.33511 | + | 5.13123i | −0.130946 | + | 0.287745i | ||||
\(319\) | −1.09175 | − | 0.397366i | −0.0611265 | − | 0.0222482i | ||||
\(320\) | −11.1990 | + | 14.9617i | −0.626042 | + | 0.836386i | ||||
\(321\) | −0.312286 | + | 1.77106i | −0.0174301 | + | 0.0988509i | ||||
\(322\) | −6.47651 | − | 6.35761i | −0.360922 | − | 0.354296i | ||||
\(323\) | 21.7313 | + | 20.4876i | 1.20916 | + | 1.13996i | ||||
\(324\) | −0.271397 | − | 14.6458i | −0.0150776 | − | 0.813657i | ||||
\(325\) | −1.49381 | − | 0.263399i | −0.0828617 | − | 0.0146108i | ||||
\(326\) | 28.5097 | − | 2.76064i | 1.57901 | − | 0.152898i | ||||
\(327\) | 0.646031 | − | 1.77496i | 0.0357256 | − | 0.0981553i | ||||
\(328\) | 27.2391 | + | 11.7917i | 1.50403 | + | 0.651088i | ||||
\(329\) | −9.15980 | + | 7.68599i | −0.504996 | + | 0.423742i | ||||
\(330\) | 5.95776 | + | 1.53737i | 0.327964 | + | 0.0846292i | ||||
\(331\) | −13.0657 | + | 22.6305i | −0.718156 | + | 1.24388i | 0.243573 | + | 0.969883i | \(0.421680\pi\) |
−0.961729 | + | 0.274001i | \(0.911653\pi\) | |||||||
\(332\) | −3.23030 | − | 16.5236i | −0.177286 | − | 0.906848i | ||||
\(333\) | 1.54890 | − | 0.273112i | 0.0848790 | − | 0.0149665i | ||||
\(334\) | −0.349753 | + | 0.0971977i | −0.0191376 | + | 0.00531842i | ||||
\(335\) | −4.91928 | − | 8.52044i | −0.268769 | − | 0.465522i | ||||
\(336\) | 7.71509 | + | 8.53151i | 0.420893 | + | 0.465432i | ||||
\(337\) | −6.88630 | − | 18.9199i | −0.375120 | − | 1.03063i | −0.973353 | − | 0.229312i | \(-0.926352\pi\) |
0.598233 | − | 0.801323i | \(-0.295870\pi\) | |||||||
\(338\) | 1.21923 | + | 2.55263i | 0.0663172 | + | 0.138845i | ||||
\(339\) | −8.00614 | + | 9.54134i | −0.434834 | + | 0.518215i | ||||
\(340\) | 31.6241 | + | 4.97392i | 1.71506 | + | 0.269749i | ||||
\(341\) | 11.8997i | 0.644406i | ||||||||
\(342\) | 2.90016 | − | 0.628001i | 0.156823 | − | 0.0339584i | ||||
\(343\) | 19.4185i | 1.04850i | ||||||||
\(344\) | 18.9441 | − | 14.0653i | 1.02140 | − | 0.758348i | ||||
\(345\) | 8.44000 | − | 10.0584i | 0.454394 | − | 0.541526i | ||||
\(346\) | 6.62230 | − | 3.16304i | 0.356017 | − | 0.170046i | ||||
\(347\) | −2.24633 | − | 6.17173i | −0.120589 | − | 0.331316i | 0.864681 | − | 0.502321i | \(-0.167521\pi\) |
−0.985270 | + | 0.171006i | \(0.945298\pi\) | |||||||
\(348\) | 2.36936 | − | 2.06413i | 0.127011 | − | 0.110649i | ||||
\(349\) | 16.1218 | + | 27.9239i | 0.862983 | + | 1.49473i | 0.869036 | + | 0.494748i | \(0.164740\pi\) |
−0.00605389 | + | 0.999982i | \(0.501927\pi\) | |||||||
\(350\) | 0.313806 | + | 1.12919i | 0.0167736 | + | 0.0603578i | ||||
\(351\) | 18.0457 | − | 3.18195i | 0.963209 | − | 0.169840i | ||||
\(352\) | 5.60840 | + | 3.55179i | 0.298929 | + | 0.189311i | ||||
\(353\) | 2.45216 | − | 4.24727i | 0.130516 | − | 0.226060i | −0.793360 | − | 0.608753i | \(-0.791670\pi\) |
0.923875 | + | 0.382693i | \(0.125003\pi\) | |||||||
\(354\) | 0.0339540 | − | 0.131582i | 0.00180463 | − | 0.00699351i | ||||
\(355\) | −27.8360 | + | 23.3572i | −1.47738 | + | 1.23967i | ||||
\(356\) | −12.9426 | + | 4.98416i | −0.685955 | + | 0.264160i | ||||
\(357\) | 6.73893 | − | 18.5150i | 0.356662 | − | 0.979920i | ||||
\(358\) | −0.0382057 | − | 0.394558i | −0.00201924 | − | 0.0208531i | ||||
\(359\) | 17.8834 | + | 3.15333i | 0.943852 | + | 0.166427i | 0.624337 | − | 0.781155i | \(-0.285369\pi\) |
0.319514 | + | 0.947581i | \(0.396480\pi\) | |||||||
\(360\) | 2.18569 | − | 2.31069i | 0.115196 | − | 0.121784i | ||||
\(361\) | −7.53813 | − | 17.4407i | −0.396744 | − | 0.917929i | ||||
\(362\) | 20.6836 | − | 21.0704i | 1.08710 | − | 1.10743i | ||||
\(363\) | −2.65189 | + | 15.0396i | −0.139188 | + | 0.789375i | ||||
\(364\) | −7.55384 | + | 9.34875i | −0.395929 | + | 0.490008i | ||||
\(365\) | 15.9345 | + | 5.79969i | 0.834050 | + | 0.303569i | ||||
\(366\) | 5.30216 | + | 2.41289i | 0.277149 | + | 0.126124i | ||||
\(367\) | −5.82470 | − | 6.94161i | −0.304047 | − | 0.362349i | 0.592288 | − | 0.805726i | \(-0.298225\pi\) |
−0.896335 | + | 0.443377i | \(0.853780\pi\) | |||||||
\(368\) | 11.9977 | − | 7.53290i | 0.625422 | − | 0.392680i | ||||
\(369\) | −4.37480 | − | 2.52579i | −0.227743 | − | 0.131487i | ||||
\(370\) | −8.89920 | − | 6.10921i | −0.462647 | − | 0.317603i | ||||
\(371\) | 0.790348 | + | 4.48229i | 0.0410328 | + | 0.232709i | ||||
\(372\) | −28.1665 | − | 15.5734i | −1.46037 | − | 0.807443i | ||||
\(373\) | −11.9329 | + | 6.88948i | −0.617864 | + | 0.356724i | −0.776037 | − | 0.630688i | \(-0.782773\pi\) |
0.158173 | + | 0.987411i | \(0.449440\pi\) | |||||||
\(374\) | 0.886091 | − | 11.3368i | 0.0458187 | − | 0.586211i | ||||
\(375\) | 15.8259 | − | 5.76015i | 0.817245 | − | 0.297453i | ||||
\(376\) | −8.35514 | − | 16.6904i | −0.430884 | − | 0.860739i | ||||
\(377\) | 2.51530 | + | 2.11059i | 0.129545 | + | 0.108701i | ||||
\(378\) | −8.22776 | − | 11.5218i | −0.423190 | − | 0.592617i | ||||
\(379\) | −1.11238 | −0.0571390 | −0.0285695 | − | 0.999592i | \(-0.509095\pi\) | ||||
−0.0285695 | + | 0.999592i | \(0.509095\pi\) | |||||||
\(380\) | −17.2236 | − | 10.8677i | −0.883552 | − | 0.557501i | ||||
\(381\) | −16.3080 | −0.835485 | ||||||||
\(382\) | 12.5397 | + | 17.5600i | 0.641586 | + | 0.898449i | ||||
\(383\) | −17.7814 | − | 14.9204i | −0.908586 | − | 0.762394i | 0.0632632 | − | 0.997997i | \(-0.479849\pi\) |
−0.971850 | + | 0.235602i | \(0.924294\pi\) | |||||||
\(384\) | −15.7469 | + | 8.62674i | −0.803579 | + | 0.440231i | ||||
\(385\) | 4.66791 | − | 1.69898i | 0.237899 | − | 0.0865881i | ||||
\(386\) | −0.455362 | + | 5.82596i | −0.0231773 | + | 0.296534i | ||||
\(387\) | −3.47761 | + | 2.00780i | −0.176777 | + | 0.102062i | ||||
\(388\) | 9.36848 | − | 16.9441i | 0.475613 | − | 0.860208i | ||||
\(389\) | 1.22008 | + | 6.91939i | 0.0618603 | + | 0.350827i | 0.999990 | + | 0.00454218i | \(0.00144583\pi\) |
−0.938129 | + | 0.346285i | \(0.887443\pi\) | |||||||
\(390\) | −14.3362 | − | 9.84162i | −0.725939 | − | 0.498350i | ||||
\(391\) | −21.0153 | − | 12.1332i | −1.06279 | − | 0.613603i | ||||
\(392\) | −10.2260 | − | 2.43761i | −0.516491 | − | 0.123118i | ||||
\(393\) | 6.34154 | + | 7.55755i | 0.319888 | + | 0.381228i | ||||
\(394\) | 26.8605 | + | 12.2236i | 1.35321 | + | 0.615815i | ||||
\(395\) | 8.37857 | + | 3.04955i | 0.421571 | + | 0.153439i | ||||
\(396\) | −0.878788 | − | 0.710065i | −0.0441607 | − | 0.0356821i | ||||
\(397\) | −2.10220 | + | 11.9222i | −0.105507 | + | 0.598357i | 0.885510 | + | 0.464620i | \(0.153809\pi\) |
−0.991017 | + | 0.133737i | \(0.957302\pi\) | |||||||
\(398\) | −4.26040 | + | 4.34008i | −0.213554 | + | 0.217548i | ||||
\(399\) | −8.59849 | + | 9.12047i | −0.430463 | + | 0.456595i | ||||
\(400\) | −1.82817 | + | 0.0677775i | −0.0914083 | + | 0.00338887i | ||||
\(401\) | 20.0520 | + | 3.53571i | 1.00135 | + | 0.176565i | 0.650207 | − | 0.759757i | \(-0.274682\pi\) |
0.351143 | + | 0.936322i | \(0.385793\pi\) | |||||||
\(402\) | −0.911021 | − | 9.40830i | −0.0454376 | − | 0.469243i | ||||
\(403\) | 11.5023 | − | 31.6024i | 0.572972 | − | 1.57423i | ||||
\(404\) | 1.00696 | + | 2.61481i | 0.0500981 | + | 0.130092i | ||||
\(405\) | 13.1070 | − | 10.9981i | 0.651292 | − | 0.546499i | ||||
\(406\) | 0.633884 | − | 2.45649i | 0.0314591 | − | 0.121914i | ||||
\(407\) | −1.91714 | + | 3.32058i | −0.0950291 | + | 0.164595i | ||||
\(408\) | 25.6744 | + | 16.9340i | 1.27107 | + | 0.838360i | ||||
\(409\) | 14.9773 | − | 2.64089i | 0.740578 | − | 0.130584i | 0.209383 | − | 0.977834i | \(-0.432854\pi\) |
0.531195 | + | 0.847250i | \(0.321743\pi\) | |||||||
\(410\) | 9.28309 | + | 33.4040i | 0.458459 | + | 1.64971i | ||||
\(411\) | 2.32878 | + | 4.03357i | 0.114870 | + | 0.198961i | ||||
\(412\) | −6.71291 | − | 7.70557i | −0.330721 | − | 0.379626i | ||||
\(413\) | −0.0375234 | − | 0.103095i | −0.00184641 | − | 0.00507296i | ||||
\(414\) | −2.17557 | + | 1.03913i | −0.106924 | + | 0.0510706i | ||||
\(415\) | 12.6409 | − | 15.0648i | 0.620515 | − | 0.739502i | ||||
\(416\) | −11.4612 | − | 14.8537i | −0.561931 | − | 0.728261i | ||||
\(417\) | − | 29.5730i | − | 1.44820i | ||||||
\(418\) | −3.37186 | + | 6.40022i | −0.164923 | + | 0.313045i | ||||
\(419\) | − | 35.8245i | − | 1.75014i | −0.483993 | − | 0.875072i | \(-0.660814\pi\) | ||
0.483993 | − | 0.875072i | \(-0.339186\pi\) | |||||||
\(420\) | −2.08752 | + | 13.2724i | −0.101860 | + | 0.647627i | ||||
\(421\) | 14.5620 | − | 17.3544i | 0.709711 | − | 0.845800i | −0.283877 | − | 0.958861i | \(-0.591621\pi\) |
0.993588 | + | 0.113060i | \(0.0360653\pi\) | |||||||
\(422\) | 9.10691 | + | 19.0666i | 0.443317 | + | 0.928149i | ||||
\(423\) | 1.08645 | + | 2.98501i | 0.0528252 | + | 0.145136i | ||||
\(424\) | −7.09205 | − | 0.422288i | −0.344420 | − | 0.0205081i | ||||
\(425\) | 1.56685 | + | 2.71387i | 0.0760034 | + | 0.131642i | ||||
\(426\) | −33.6360 | + | 9.34757i | −1.62967 | + | 0.452891i | ||||
\(427\) | 4.63160 | − | 0.816676i | 0.224139 | − | 0.0395217i | ||||
\(428\) | −2.22426 | + | 0.434835i | −0.107514 | + | 0.0210185i | ||||
\(429\) | −3.08841 | + | 5.34929i | −0.149110 | + | 0.258266i | ||||
\(430\) | 26.6857 | + | 6.88608i | 1.28690 | + | 0.332076i | ||||
\(431\) | −8.59711 | + | 7.21383i | −0.414108 | + | 0.347478i | −0.825916 | − | 0.563793i | \(-0.809342\pi\) |
0.411808 | + | 0.911270i | \(0.364897\pi\) | |||||||
\(432\) | 20.4729 | − | 8.32285i | 0.985004 | − | 0.400434i | ||||
\(433\) | −6.89325 | + | 18.9391i | −0.331269 | + | 0.910153i | 0.656514 | + | 0.754314i | \(0.272030\pi\) |
−0.987782 | + | 0.155839i | \(0.950192\pi\) | |||||||
\(434\) | −25.8634 | + | 2.50439i | −1.24148 | + | 0.120215i | ||||
\(435\) | 3.61469 | + | 0.637367i | 0.173311 | + | 0.0305594i | ||||
\(436\) | 2.37999 | − | 0.0441028i | 0.113981 | − | 0.00211214i | ||||
\(437\) | 9.22315 | + | 12.3795i | 0.441203 | + | 0.592191i | ||||
\(438\) | 11.6260 | + | 11.4126i | 0.555512 | + | 0.545313i | ||||
\(439\) | −0.0844362 | + | 0.478862i | −0.00402992 | + | 0.0228548i | −0.986756 | − | 0.162209i | \(-0.948138\pi\) |
0.982726 | + | 0.185064i | \(0.0592492\pi\) | |||||||
\(440\) | 0.890209 | + | 7.70279i | 0.0424391 | + | 0.367216i | ||||
\(441\) | 1.68123 | + | 0.611919i | 0.0800587 | + | 0.0291390i | ||||
\(442\) | −13.3114 | + | 29.2509i | −0.633159 | + | 1.39132i | ||||
\(443\) | 2.97644 | + | 3.54718i | 0.141415 | + | 0.168531i | 0.832103 | − | 0.554621i | \(-0.187137\pi\) |
−0.690688 | + | 0.723153i | \(0.742692\pi\) | |||||||
\(444\) | −5.35079 | − | 8.88357i | −0.253937 | − | 0.421595i | ||||
\(445\) | −14.0294 | − | 8.09990i | −0.665059 | − | 0.383972i | ||||
\(446\) | −13.3399 | + | 19.4320i | −0.631662 | + | 0.920134i | ||||
\(447\) | 0.446808 | + | 2.53397i | 0.0211333 | + | 0.119853i | ||||
\(448\) | −6.53927 | + | 12.9370i | −0.308951 | + | 0.611217i | ||||
\(449\) | −18.4815 | + | 10.6703i | −0.872196 | + | 0.503562i | −0.868077 | − | 0.496429i | \(-0.834644\pi\) |
−0.00411831 | + | 0.999992i | \(0.501311\pi\) | |||||||
\(450\) | 0.310404 | + | 0.0242614i | 0.0146326 | + | 0.00114369i | ||||
\(451\) | 11.5725 | − | 4.21203i | 0.544926 | − | 0.198337i | ||||
\(452\) | −14.8468 | − | 5.09433i | −0.698337 | − | 0.239617i | ||||
\(453\) | 10.0363 | + | 8.42141i | 0.471544 | + | 0.395673i | ||||
\(454\) | −8.83314 | + | 6.30778i | −0.414560 | + | 0.296039i | ||||
\(455\) | −14.0389 | −0.658156 | ||||||||
\(456\) | −10.7365 | − | 16.3573i | −0.502781 | − | 0.765999i | ||||
\(457\) | −15.4983 | −0.724981 | −0.362490 | − | 0.931987i | \(-0.618073\pi\) | ||||
−0.362490 | + | 0.931987i | \(0.618073\pi\) | |||||||
\(458\) | −17.9652 | + | 12.8290i | −0.839458 | + | 0.599461i | ||||
\(459\) | −28.9995 | − | 24.3335i | −1.35358 | − | 1.13579i | ||||
\(460\) | 15.6514 | + | 5.37039i | 0.729751 | + | 0.250396i | ||||
\(461\) | −12.0438 | + | 4.38359i | −0.560937 | + | 0.204164i | −0.606899 | − | 0.794779i | \(-0.707587\pi\) |
0.0459625 | + | 0.998943i | \(0.485365\pi\) | |||||||
\(462\) | 4.75796 | + | 0.371886i | 0.221360 | + | 0.0173017i | ||||
\(463\) | −1.66871 | + | 0.963428i | −0.0775513 | + | 0.0447743i | −0.538274 | − | 0.842770i | \(-0.680924\pi\) |
0.460723 | + | 0.887544i | \(0.347590\pi\) | |||||||
\(464\) | 3.50055 | + | 1.85163i | 0.162509 | + | 0.0859598i | ||||
\(465\) | −6.52811 | − | 37.0227i | −0.302734 | − | 1.71689i | ||||
\(466\) | −15.1199 | + | 22.0249i | −0.700415 | + | 1.02029i | ||||
\(467\) | 13.5965 | + | 7.84993i | 0.629170 | + | 0.363251i | 0.780430 | − | 0.625243i | \(-0.215000\pi\) |
−0.151261 | + | 0.988494i | \(0.548333\pi\) | |||||||
\(468\) | 1.64747 | + | 2.73518i | 0.0761541 | + | 0.126434i | ||||
\(469\) | −4.90525 | − | 5.84585i | −0.226503 | − | 0.269936i | ||||
\(470\) | 9.03025 | − | 19.8433i | 0.416534 | − | 0.915305i | ||||
\(471\) | 19.3083 | + | 7.02764i | 0.889679 | + | 0.323817i | ||||
\(472\) | 0.170122 | − | 0.0196610i | 0.00783052 | − | 0.000904971i | ||||
\(473\) | 1.69994 | − | 9.64083i | 0.0781633 | − | 0.443286i | ||||
\(474\) | 6.11310 | + | 6.00087i | 0.280784 | + | 0.275629i | ||||
\(475\) | −0.232155 | − | 1.98000i | −0.0106520 | − | 0.0908487i | ||||
\(476\) | 24.8263 | − | 0.460048i | 1.13791 | − | 0.0210863i | ||||
\(477\) | 1.19077 | + | 0.209965i | 0.0545215 | + | 0.00961362i | ||||
\(478\) | −3.77287 | + | 0.365333i | −0.172567 | + | 0.0167099i | ||||
\(479\) | −11.6279 | + | 31.9475i | −0.531294 | + | 1.45972i | 0.326237 | + | 0.945288i | \(0.394219\pi\) |
−0.857531 | + | 0.514432i | \(0.828003\pi\) | |||||||
\(480\) | −19.3975 | − | 7.97368i | −0.885370 | − | 0.363947i | ||||
\(481\) | 8.30109 | − | 6.96544i | 0.378497 | − | 0.317597i | ||||
\(482\) | 9.99467 | + | 2.57907i | 0.455245 | + | 0.117473i | ||||
\(483\) | 5.09221 | − | 8.81997i | 0.231704 | − | 0.401323i | ||||
\(484\) | −18.8881 | + | 3.69256i | −0.858551 | + | 0.167844i | ||||
\(485\) | 22.2717 | − | 3.92711i | 1.01131 | − | 0.178321i | ||||
\(486\) | −6.74668 | + | 1.87493i | −0.306036 | + | 0.0850484i | ||||
\(487\) | −5.27931 | − | 9.14404i | −0.239229 | − | 0.414356i | 0.721265 | − | 0.692660i | \(-0.243561\pi\) |
−0.960493 | + | 0.278304i | \(0.910228\pi\) | |||||||
\(488\) | −0.436356 | + | 7.32830i | −0.0197529 | + | 0.331737i | ||||
\(489\) | 10.9936 | + | 30.2045i | 0.497146 | + | 1.36590i | ||||
\(490\) | −5.29226 | − | 11.0801i | −0.239080 | − | 0.500549i | ||||
\(491\) | 5.07112 | − | 6.04353i | 0.228857 | − | 0.272741i | −0.639380 | − | 0.768891i | \(-0.720809\pi\) |
0.868237 | + | 0.496150i | \(0.165253\pi\) | |||||||
\(492\) | −5.17526 | + | 32.9043i | −0.233319 | + | 1.48344i | ||||
\(493\) | − | 6.78344i | − | 0.305511i | ||||||
\(494\) | 15.1412 | − | 13.7380i | 0.681236 | − | 0.618101i | ||||
\(495\) | − | 1.31967i | − | 0.0593147i | ||||||
\(496\) | 5.55855 | − | 40.1779i | 0.249586 | − | 1.80404i | ||||
\(497\) | −18.1168 | + | 21.5908i | −0.812651 | + | 0.968480i | ||||
\(498\) | 17.0487 | − | 8.14308i | 0.763972 | − | 0.364900i | ||||
\(499\) | −8.79309 | − | 24.1588i | −0.393633 | − | 1.08150i | −0.965330 | − | 0.261032i | \(-0.915937\pi\) |
0.571697 | − | 0.820465i | \(-0.306285\pi\) | |||||||
\(500\) | 13.9415 | + | 16.0031i | 0.623483 | + | 0.715679i | ||||
\(501\) | −0.203682 | − | 0.352788i | −0.00909985 | − | 0.0157614i | ||||
\(502\) | −4.33463 | − | 15.5976i | −0.193464 | − | 0.696155i | ||||
\(503\) | 14.7564 | − | 2.60194i | 0.657954 | − | 0.116015i | 0.165304 | − | 0.986243i | \(-0.447139\pi\) |
0.492650 | + | 0.870228i | \(0.336028\pi\) | |||||||
\(504\) | 1.35834 | − | 2.05943i | 0.0605052 | − | 0.0917345i | ||||
\(505\) | −1.63644 | + | 2.83439i | −0.0728205 | + | 0.126129i | ||||
\(506\) | 1.46861 | − | 5.69130i | 0.0652876 | − | 0.253009i | ||||
\(507\) | −2.43182 | + | 2.04054i | −0.108001 | + | 0.0906236i | ||||
\(508\) | −7.38572 | − | 19.1788i | −0.327688 | − | 0.850922i | ||||
\(509\) | 10.0710 | − | 27.6698i | 0.446388 | − | 1.22644i | −0.488834 | − | 0.872377i | \(-0.662578\pi\) |
0.935221 | − | 0.354063i | \(-0.115200\pi\) | |||||||
\(510\) | 3.46245 | + | 35.7574i | 0.153320 | + | 1.58336i | ||||
\(511\) | 12.9529 | + | 2.28394i | 0.573001 | + | 0.101036i | ||||
\(512\) | −17.2769 | − | 14.6119i | −0.763539 | − | 0.645761i | ||||
\(513\) | 10.8162 | + | 21.5174i | 0.477546 | + | 0.950015i | ||||
\(514\) | −8.49387 | + | 8.65272i | −0.374648 | + | 0.381655i | ||||
\(515\) | 2.07282 | − | 11.7556i | 0.0913396 | − | 0.518012i | ||||
\(516\) | 20.5950 | + | 16.6409i | 0.906645 | + | 0.732574i | ||||
\(517\) | −7.27710 | − | 2.64865i | −0.320046 | − | 0.116487i | ||||
\(518\) | −7.62057 | − | 3.46795i | −0.334829 | − | 0.152373i | ||||
\(519\) | 5.29378 | + | 6.30889i | 0.232371 | + | 0.276929i | ||||
\(520\) | 5.08140 | − | 21.3170i | 0.222834 | − | 0.934811i | ||||
\(521\) | 6.06882 | + | 3.50384i | 0.265880 | + | 0.153506i | 0.627014 | − | 0.779008i | \(-0.284277\pi\) |
−0.361134 | + | 0.932514i | \(0.617610\pi\) | |||||||
\(522\) | −0.555643 | − | 0.381443i | −0.0243198 | − | 0.0166953i | ||||
\(523\) | 0.792369 | + | 4.49375i | 0.0346479 | + | 0.196498i | 0.997219 | − | 0.0745329i | \(-0.0237466\pi\) |
−0.962571 | + | 0.271031i | \(0.912635\pi\) | |||||||
\(524\) | −6.01593 | + | 10.8806i | −0.262807 | + | 0.475321i | ||||
\(525\) | −1.13899 | + | 0.657595i | −0.0497095 | + | 0.0286998i | ||||
\(526\) | 3.32493 | − | 42.5396i | 0.144974 | − | 1.85481i | ||||
\(527\) | −65.2880 | + | 23.7629i | −2.84399 | + | 1.03513i | ||||
\(528\) | −2.28682 | + | 7.08996i | −0.0995212 | + | 0.308551i | ||||
\(529\) | 8.01048 | + | 6.72159i | 0.348282 | + | 0.292243i | ||||
\(530\) | −4.82262 | − | 6.75337i | −0.209481 | − | 0.293348i | ||||
\(531\) | −0.0291460 | −0.00126483 | ||||||||
\(532\) | −14.6202 | − | 5.98156i | −0.633864 | − | 0.259334i | ||||
\(533\) | −34.8046 | −1.50756 | ||||||||
\(534\) | −9.04476 | − | 12.6659i | −0.391405 | − | 0.548106i | ||||
\(535\) | −2.02789 | − | 1.70160i | −0.0876734 | − | 0.0735667i | ||||
\(536\) | 10.6519 | − | 5.33231i | 0.460092 | − | 0.230321i | ||||
\(537\) | 0.418014 | − | 0.152145i | 0.0180386 | − | 0.00656552i | ||||
\(538\) | 1.92604 | − | 24.6420i | 0.0830373 | − | 1.06239i | ||||
\(539\) | −3.77733 | + | 2.18085i | −0.162701 | + | 0.0939356i | ||||
\(540\) | 22.5908 | + | 12.4905i | 0.972153 | + | 0.537507i | ||||
\(541\) | 4.56181 | + | 25.8713i | 0.196127 | + | 1.11229i | 0.910804 | + | 0.412839i | \(0.135463\pi\) |
−0.714677 | + | 0.699455i | \(0.753426\pi\) | |||||||
\(542\) | −11.7432 | − | 8.06155i | −0.504411 | − | 0.346273i | ||||
\(543\) | 28.6945 | + | 16.5668i | 1.23140 | + | 0.710949i | ||||
\(544\) | −8.28736 | + | 37.8632i | −0.355318 | + | 1.62337i | ||||
\(545\) | 1.78722 | + | 2.12993i | 0.0765561 | + | 0.0912361i | ||||
\(546\) | −12.2764 | − | 5.58669i | −0.525380 | − | 0.239088i | ||||
\(547\) | 15.4174 | + | 5.61149i | 0.659202 | + | 0.239930i | 0.649892 | − | 0.760027i | \(-0.274814\pi\) |
0.00931034 | + | 0.999957i | \(0.497036\pi\) | |||||||
\(548\) | −3.68894 | + | 4.56549i | −0.157584 | + | 0.195028i | ||||
\(549\) | 0.216959 | − | 1.23044i | 0.00925958 | − | 0.0525137i | ||||
\(550\) | −0.531724 | + | 0.541668i | −0.0226728 | + | 0.0230968i | ||||
\(551\) | −1.70782 | + | 3.96310i | −0.0727554 | + | 0.168834i | ||||
\(552\) | 11.5493 | + | 10.9245i | 0.491570 | + | 0.464978i | ||||
\(553\) | 6.81078 | + | 1.20092i | 0.289624 | + | 0.0510685i | ||||
\(554\) | 2.32303 | + | 23.9904i | 0.0986960 | + | 1.01925i | ||||
\(555\) | 4.14300 | − | 11.3828i | 0.175861 | − | 0.483173i | ||||
\(556\) | 34.7789 | − | 13.3933i | 1.47495 | − | 0.568002i | ||||
\(557\) | 19.0248 | − | 15.9637i | 0.806105 | − | 0.676402i | −0.143570 | − | 0.989640i | \(-0.545858\pi\) |
0.949675 | + | 0.313238i | \(0.101414\pi\) | |||||||
\(558\) | −1.72479 | + | 6.68407i | −0.0730160 | + | 0.282959i | ||||
\(559\) | −13.8334 | + | 23.9602i | −0.585092 | + | 1.01341i | ||||
\(560\) | −16.5542 | + | 3.55593i | −0.699544 | + | 0.150266i | ||||
\(561\) | 12.5670 | − | 2.21590i | 0.530578 | − | 0.0935552i | ||||
\(562\) | −8.16560 | − | 29.3828i | −0.344445 | − | 1.23944i | ||||
\(563\) | −13.0593 | − | 22.6195i | −0.550386 | − | 0.953296i | −0.998247 | − | 0.0591929i | \(-0.981147\pi\) |
0.447861 | − | 0.894103i | \(-0.352186\pi\) | |||||||
\(564\) | 15.7930 | − | 13.7585i | 0.665006 | − | 0.579337i | ||||
\(565\) | −6.27070 | − | 17.2286i | −0.263810 | − | 0.724813i | ||||
\(566\) | 10.2772 | − | 4.90873i | 0.431981 | − | 0.206329i | ||||
\(567\) | 8.53058 | − | 10.1664i | 0.358251 | − | 0.426947i | ||||
\(568\) | −26.2264 | − | 35.3237i | −1.10044 | − | 1.48215i | ||||
\(569\) | − | 19.9949i | − | 0.838228i | −0.907934 | − | 0.419114i | \(-0.862341\pi\) | ||
0.907934 | − | 0.419114i | \(-0.137659\pi\) | |||||||
\(570\) | 6.97950 | − | 21.7623i | 0.292339 | − | 0.911523i | ||||
\(571\) | − | 2.58227i | − | 0.108065i | −0.998539 | − | 0.0540323i | \(-0.982793\pi\) | ||
0.998539 | − | 0.0540323i | \(-0.0172074\pi\) | |||||||
\(572\) | −7.68966 | − | 1.20945i | −0.321521 | − | 0.0505696i | ||||
\(573\) | −15.5647 | + | 18.5493i | −0.650224 | + | 0.774907i | ||||
\(574\) | 11.5901 | + | 24.2656i | 0.483763 | + | 1.01283i | ||||
\(575\) | 0.553997 | + | 1.52209i | 0.0231033 | + | 0.0634757i | ||||
\(576\) | 2.63543 | + | 2.80794i | 0.109810 | + | 0.116997i | ||||
\(577\) | 3.12895 | + | 5.41949i | 0.130260 | + | 0.225617i | 0.923777 | − | 0.382932i | \(-0.125086\pi\) |
−0.793517 | + | 0.608548i | \(0.791752\pi\) | |||||||
\(578\) | 40.8051 | − | 11.3399i | 1.69727 | − | 0.471677i | ||||
\(579\) | −6.45816 | + | 1.13875i | −0.268392 | + | 0.0473248i | ||||
\(580\) | 0.887486 | + | 4.53965i | 0.0368508 | + | 0.188499i | ||||
\(581\) | 7.62678 | − | 13.2100i | 0.316412 | − | 0.548042i | ||||
\(582\) | 21.0383 | + | 5.42881i | 0.872065 | + | 0.225031i | ||||
\(583\) | −2.25810 | + | 1.89477i | −0.0935208 | + | 0.0784732i | ||||
\(584\) | −8.15628 | + | 18.8412i | −0.337509 | + | 0.779654i | ||||
\(585\) | −1.27560 | + | 3.50468i | −0.0527395 | + | 0.144900i | ||||
\(586\) | 30.1878 | − | 2.92314i | 1.24705 | − | 0.120754i | ||||
\(587\) | 14.1534 | + | 2.49562i | 0.584172 | + | 0.103005i | 0.457921 | − | 0.888993i | \(-0.348594\pi\) |
0.126251 | + | 0.991998i | \(0.459705\pi\) | |||||||
\(588\) | −0.218570 | − | 11.7950i | −0.00901366 | − | 0.486419i | ||||
\(589\) | 44.1260 | + | 2.55403i | 1.81818 | + | 0.105237i | ||||
\(590\) | 0.142750 | + | 0.140129i | 0.00587691 | + | 0.00576902i | ||||
\(591\) | −5.75071 | + | 32.6139i | −0.236553 | + | 1.34156i | ||||
\(592\) | 8.02407 | − | 10.3160i | 0.329787 | − | 0.423984i | ||||
\(593\) | −27.0613 | − | 9.84951i | −1.11127 | − | 0.404471i | −0.279814 | − | 0.960054i | \(-0.590273\pi\) |
−0.831461 | + | 0.555583i | \(0.812495\pi\) | |||||||
\(594\) | 3.79800 | − | 8.34583i | 0.155834 | − | 0.342434i | ||||
\(595\) | 18.6430 | + | 22.2178i | 0.764288 | + | 0.910843i | ||||
\(596\) | −2.77769 | + | 1.67307i | −0.113778 | + | 0.0685316i | ||||
\(597\) | −5.91049 | − | 3.41243i | −0.241900 | − | 0.139661i | ||||
\(598\) | −9.40146 | + | 13.6950i | −0.384454 | + | 0.560029i | ||||
\(599\) | 1.65039 | + | 9.35980i | 0.0674329 | + | 0.382431i | 0.999782 | + | 0.0208721i | \(0.00664426\pi\) |
−0.932349 | + | 0.361559i | \(0.882245\pi\) | |||||||
\(600\) | −0.586246 | − | 1.96748i | −0.0239334 | − | 0.0803219i | ||||
\(601\) | −17.3028 | + | 9.98979i | −0.705797 | + | 0.407492i | −0.809503 | − | 0.587116i | \(-0.800263\pi\) |
0.103706 | + | 0.994608i | \(0.466930\pi\) | |||||||
\(602\) | 21.3116 | + | 1.66573i | 0.868594 | + | 0.0678900i | ||||
\(603\) | −1.90505 | + | 0.693382i | −0.0775797 | + | 0.0282367i | ||||
\(604\) | −5.35857 | + | 15.6169i | −0.218037 | + | 0.635445i | ||||
\(605\) | −17.2206 | − | 14.4498i | −0.700117 | − | 0.587468i | ||||
\(606\) | −2.55891 | + | 1.82733i | −0.103949 | + | 0.0742301i | ||||
\(607\) | 43.7982 | 1.77771 | 0.888857 | − | 0.458184i | \(-0.151500\pi\) | ||||
0.888857 | + | 0.458184i | \(0.151500\pi\) | |||||||
\(608\) | 14.3743 | − | 20.0345i | 0.582954 | − | 0.812505i | ||||
\(609\) | 2.84696 | 0.115365 | ||||||||
\(610\) | −6.97834 | + | 4.98327i | −0.282545 | + | 0.201767i | ||||
\(611\) | 16.7658 | + | 14.0682i | 0.678271 | + | 0.569137i | ||||
\(612\) | 2.14091 | − | 6.23943i | 0.0865411 | − | 0.252214i | ||||
\(613\) | −25.5323 | + | 9.29299i | −1.03124 | + | 0.375340i | −0.801552 | − | 0.597925i | \(-0.795992\pi\) |
−0.229686 | + | 0.973265i | \(0.573770\pi\) | |||||||
\(614\) | −11.7076 | − | 0.915074i | −0.472480 | − | 0.0369294i | ||||
\(615\) | −33.6938 | + | 19.4531i | −1.35867 | + | 0.784427i | ||||
\(616\) | 1.71748 | + | 5.76395i | 0.0691991 | + | 0.232236i | ||||
\(617\) | −5.50437 | − | 31.2169i | −0.221598 | − | 1.25674i | −0.869083 | − | 0.494666i | \(-0.835291\pi\) |
0.647486 | − | 0.762078i | \(-0.275821\pi\) | |||||||
\(618\) | 6.49062 | − | 9.45480i | 0.261091 | − | 0.380328i | ||||
\(619\) | 16.1625 | + | 9.33144i | 0.649627 | + | 0.375062i | 0.788313 | − | 0.615274i | \(-0.210955\pi\) |
−0.138686 | + | 0.990336i | \(0.544288\pi\) | |||||||
\(620\) | 40.5835 | − | 24.4445i | 1.62987 | − | 0.981713i | ||||
\(621\) | −12.5777 | − | 14.9895i | −0.504726 | − | 0.601509i | ||||
\(622\) | −11.9825 | + | 26.3306i | −0.480453 | + | 1.05576i | ||||
\(623\) | −11.8075 | − | 4.29757i | −0.473057 | − | 0.172179i | ||||
\(624\) | 12.9264 | − | 16.6185i | 0.517469 | − | 0.665274i | ||||
\(625\) | −4.70198 | + | 26.6662i | −0.188079 | + | 1.06665i | ||||
\(626\) | 6.37386 | + | 6.25684i | 0.254751 | + | 0.250074i | ||||
\(627\) | −7.89991 | − | 1.86930i | −0.315492 | − | 0.0746525i | ||||
\(628\) | 0.479758 | + | 25.8900i | 0.0191444 | + | 1.03312i | ||||
\(629\) | −22.0468 | − | 3.88745i | −0.879064 | − | 0.155003i | ||||
\(630\) | 2.86822 | − | 0.277735i | 0.114273 | − | 0.0110652i | ||||
\(631\) | 2.81070 | − | 7.72234i | 0.111892 | − | 0.307422i | −0.871090 | − | 0.491124i | \(-0.836586\pi\) |
0.982982 | + | 0.183703i | \(0.0588083\pi\) | |||||||
\(632\) | −4.28867 | + | 9.90694i | −0.170594 | + | 0.394077i | ||||
\(633\) | −18.1643 | + | 15.2416i | −0.721966 | + | 0.605801i | ||||
\(634\) | −23.7165 | − | 6.11991i | −0.941904 | − | 0.243053i | ||||
\(635\) | 12.0027 | − | 20.7894i | 0.476314 | − | 0.825001i | ||||
\(636\) | −1.52968 | − | 7.82461i | −0.0606559 | − | 0.310266i | ||||
\(637\) | 12.1396 | − | 2.14053i | 0.480988 | − | 0.0848111i | ||||
\(638\) | 1.58307 | − | 0.439941i | 0.0626743 | − | 0.0174174i | ||||
\(639\) | 3.74380 | + | 6.48445i | 0.148102 | + | 0.256521i | ||||
\(640\) | 0.592420 | − | 26.4233i | 0.0234175 | − | 1.04447i | ||||
\(641\) | 0.149175 | + | 0.409855i | 0.00589205 | + | 0.0161883i | 0.942604 | − | 0.333913i | \(-0.108369\pi\) |
−0.936712 | + | 0.350102i | \(0.886147\pi\) | |||||||
\(642\) | −1.09615 | − | 2.29495i | −0.0432616 | − | 0.0905745i | ||||
\(643\) | 31.5909 | − | 37.6485i | 1.24582 | − | 1.48471i | 0.433885 | − | 0.900968i | \(-0.357142\pi\) |
0.811937 | − | 0.583745i | \(-0.198413\pi\) | |||||||
\(644\) | 12.6788 | + | 1.99415i | 0.499615 | + | 0.0785806i | ||||
\(645\) | 30.9274i | 1.21776i | ||||||||
\(646\) | −41.8483 | − | 5.71897i | −1.64650 | − | 0.225010i | ||||
\(647\) | − | 0.588859i | − | 0.0231504i | −0.999933 | − | 0.0115752i | \(-0.996315\pi\) | ||
0.999933 | − | 0.0115752i | \(-0.00368459\pi\) | |||||||
\(648\) | 12.3491 | + | 16.6327i | 0.485119 | + | 0.653394i | ||||
\(649\) | 0.0456729 | − | 0.0544308i | 0.00179282 | − | 0.00213660i | ||||
\(650\) | 1.93569 | − | 0.924555i | 0.0759240 | − | 0.0362640i | ||||
\(651\) | −9.97311 | − | 27.4009i | −0.390877 | − | 1.07393i | ||||
\(652\) | −30.5427 | + | 26.6081i | −1.19615 | + | 1.04205i | ||||
\(653\) | 1.73320 | + | 3.00200i | 0.0678255 | + | 0.117477i | 0.897944 | − | 0.440110i | \(-0.145061\pi\) |
−0.830118 | + | 0.557587i | \(0.811727\pi\) | |||||||
\(654\) | 0.715248 | + | 2.57373i | 0.0279684 | + | 0.100641i | ||||
\(655\) | −14.3017 | + | 2.52178i | −0.558814 | + | 0.0985339i | ||||
\(656\) | −41.0404 | + | 8.81569i | −1.60236 | + | 0.344195i | ||||
\(657\) | 1.74708 | − | 3.02603i | 0.0681600 | − | 0.118057i | ||||
\(658\) | 4.22516 | − | 16.3738i | 0.164714 | − | 0.638317i | ||||
\(659\) | −12.9715 | + | 10.8844i | −0.505299 | + | 0.423996i | −0.859471 | − | 0.511184i | \(-0.829207\pi\) |
0.354172 | + | 0.935180i | \(0.384763\pi\) | |||||||
\(660\) | −8.12023 | + | 3.12709i | −0.316080 | + | 0.121722i | ||||
\(661\) | −8.54145 | + | 23.4675i | −0.332224 | + | 0.912778i | 0.655308 | + | 0.755362i | \(0.272539\pi\) |
−0.987532 | + | 0.157417i | \(0.949683\pi\) | |||||||
\(662\) | −3.56180 | − | 36.7834i | −0.138433 | − | 1.42963i | ||||
\(663\) | −35.5163 | − | 6.26248i | −1.37934 | − | 0.243215i | ||||
\(664\) | 17.2977 | + | 16.3620i | 0.671282 | + | 0.634968i | ||||
\(665\) | −5.29821 | − | 17.6740i | −0.205456 | − | 0.685368i | ||||
\(666\) | −1.55815 | + | 1.58729i | −0.0603772 | + | 0.0615064i | ||||
\(667\) | 0.608861 | − | 3.45302i | 0.0235752 | − | 0.133702i | ||||
\(668\) | 0.322645 | − | 0.399311i | 0.0124835 | − | 0.0154498i | ||||
\(669\) | −24.8552 | − | 9.04655i | −0.960957 | − | 0.349760i | ||||
\(670\) | 12.6641 | + | 5.76316i | 0.489259 | + | 0.222650i | ||||
\(671\) | 1.95789 | + | 2.33332i | 0.0755834 | + | 0.0900767i | ||||
\(672\) | −15.8909 | − | 3.47814i | −0.613005 | − | 0.134172i | ||||
\(673\) | 41.4077 | + | 23.9068i | 1.59615 | + | 0.921538i | 0.992219 | + | 0.124502i | \(0.0397334\pi\) |
0.603932 | + | 0.797036i | \(0.293600\pi\) | |||||||
\(674\) | 23.4749 | + | 16.1153i | 0.904218 | + | 0.620736i | ||||
\(675\) | 0.438790 | + | 2.48850i | 0.0168890 | + | 0.0957824i | ||||
\(676\) | −3.50109 | − | 1.93577i | −0.134657 | − | 0.0744527i | ||||
\(677\) | 1.82895 | − | 1.05594i | 0.0702923 | − | 0.0405833i | −0.464442 | − | 0.885604i | \(-0.653745\pi\) |
0.534734 | + | 0.845020i | \(0.320412\pi\) | |||||||
\(678\) | 1.37258 | − | 17.5609i | 0.0527135 | − | 0.674424i | ||||
\(679\) | 16.4835 | − | 5.99952i | 0.632580 | − | 0.230240i | ||||
\(680\) | −40.4838 | + | 20.2661i | −1.55248 | + | 0.777168i | ||||
\(681\) | −9.33075 | − | 7.82943i | −0.357555 | − | 0.300024i | ||||
\(682\) | −9.77987 | − | 13.6953i | −0.374491 | − | 0.524420i | ||||
\(683\) | −22.6197 | −0.865518 | −0.432759 | − | 0.901510i | \(-0.642460\pi\) | ||||
−0.432759 | + | 0.901510i | \(0.642460\pi\) | |||||||
\(684\) | −2.82164 | + | 3.10628i | −0.107888 | + | 0.118771i | ||||
\(685\) | −6.85596 | −0.261953 | ||||||||
\(686\) | −15.9592 | − | 22.3486i | −0.609326 | − | 0.853273i | ||||
\(687\) | −18.9773 | − | 15.9238i | −0.724028 | − | 0.607531i | ||||
\(688\) | −10.2430 | + | 31.7569i | −0.390511 | + | 1.21072i | ||||
\(689\) | 7.82837 | − | 2.84929i | 0.298237 | − | 0.108549i | ||||
\(690\) | −1.44696 | + | 18.5126i | −0.0550848 | + | 0.704762i | ||||
\(691\) | −33.1606 | + | 19.1453i | −1.26149 | + | 0.728320i | −0.973362 | − | 0.229273i | \(-0.926365\pi\) |
−0.288125 | + | 0.957593i | \(0.593032\pi\) | |||||||
\(692\) | −5.02197 | + | 9.08290i | −0.190907 | + | 0.345280i | ||||
\(693\) | −0.177745 | − | 1.00804i | −0.00675196 | − | 0.0382923i | ||||
\(694\) | 7.65756 | + | 5.25683i | 0.290677 | + | 0.199547i | ||||
\(695\) | 37.6995 | + | 21.7658i | 1.43002 | + | 0.825624i | ||||
\(696\) | −1.03046 | + | 4.32287i | −0.0390594 | + | 0.163858i | ||||
\(697\) | 46.2188 | + | 55.0814i | 1.75066 | + | 2.08636i | ||||
\(698\) | −41.5039 | − | 18.8875i | −1.57095 | − | 0.714902i | ||||
\(699\) | −28.1717 | − | 10.2537i | −1.06555 | − | 0.387829i | ||||
\(700\) | −1.28919 | − | 1.04167i | −0.0487268 | − | 0.0393715i | ||||
\(701\) | 4.55149 | − | 25.8128i | 0.171908 | − | 0.974936i | −0.769746 | − | 0.638351i | \(-0.779617\pi\) |
0.941653 | − | 0.336585i | \(-0.109272\pi\) | |||||||
\(702\) | −18.1536 | + | 18.4931i | −0.685162 | + | 0.697976i | ||||
\(703\) | 11.9017 | + | 7.82174i | 0.448883 | + | 0.295002i | ||||
\(704\) | −9.37372 | + | 0.521581i | −0.353285 | + | 0.0196578i | ||||
\(705\) | 24.0937 | + | 4.24837i | 0.907422 | + | 0.160003i | ||||
\(706\) | 0.668475 | + | 6.90348i | 0.0251584 | + | 0.259816i | ||||
\(707\) | −0.868246 | + | 2.38549i | −0.0326538 | + | 0.0897155i | ||||
\(708\) | 0.0690643 | + | 0.179342i | 0.00259560 | + | 0.00674009i | ||||
\(709\) | −2.52308 | + | 2.11712i | −0.0947563 | + | 0.0795100i | −0.688935 | − | 0.724823i | \(-0.741922\pi\) |
0.594179 | + | 0.804333i | \(0.297477\pi\) | |||||||
\(710\) | 12.8400 | − | 49.7588i | 0.481875 | − | 1.86741i | ||||
\(711\) | 0.918636 | − | 1.59112i | 0.0344515 | − | 0.0596718i | ||||
\(712\) | 10.7992 | − | 16.3732i | 0.404718 | − | 0.613611i | ||||
\(713\) | −35.3669 | + | 6.23614i | −1.32450 | + | 0.233545i | ||||
\(714\) | 7.46094 | + | 26.8472i | 0.279219 | + | 1.00473i | ||||
\(715\) | −4.54616 | − | 7.87418i | −0.170017 | − | 0.294478i | ||||
\(716\) | 0.368241 | + | 0.422694i | 0.0137618 | + | 0.0157968i | ||||
\(717\) | −1.45484 | − | 3.99715i | −0.0543322 | − | 0.149276i | ||||
\(718\) | −23.1735 | + | 11.0685i | −0.864827 | + | 0.413072i | ||||
\(719\) | 7.54270 | − | 8.98905i | 0.281295 | − | 0.335235i | −0.606834 | − | 0.794829i | \(-0.707561\pi\) |
0.888129 | + | 0.459594i | \(0.152005\pi\) | |||||||
\(720\) | −0.616438 | + | 4.45569i | −0.0229733 | + | 0.166054i | ||||
\(721\) | − | 9.25879i | − | 0.344815i | ||||||
\(722\) | 23.0093 | + | 13.8770i | 0.856317 | + | 0.516450i | ||||
\(723\) | 11.5833i | 0.430789i | ||||||||
\(724\) | −6.48769 | + | 41.2486i | −0.241113 | + | 1.53299i | ||||
\(725\) | −0.291050 | + | 0.346860i | −0.0108093 | + | 0.0128820i | ||||
\(726\) | −9.30837 | − | 19.4884i | −0.345466 | − | 0.723283i | ||||
\(727\) | −10.3765 | − | 28.5091i | −0.384842 | − | 1.05734i | −0.969292 | − | 0.245914i | \(-0.920912\pi\) |
0.584450 | − | 0.811430i | \(-0.301310\pi\) | |||||||
\(728\) | 1.01032 | − | 16.9676i | 0.0374448 | − | 0.628860i | ||||
\(729\) | −14.9152 | − | 25.8340i | −0.552416 | − | 0.956813i | ||||
\(730\) | −23.1054 | + | 6.42107i | −0.855169 | + | 0.237655i | ||||
\(731\) | 56.2892 | − | 9.92531i | 2.08193 | − | 0.367101i | ||||
\(732\) | −8.08527 | + | 1.58064i | −0.298840 | + | 0.0584222i | ||||
\(733\) | 17.1805 | − | 29.7575i | 0.634575 | − | 1.09912i | −0.352029 | − | 0.935989i | \(-0.614508\pi\) |
0.986605 | − | 0.163128i | \(-0.0521583\pi\) | |||||||
\(734\) | 12.4086 | + | 3.20197i | 0.458010 | + | 0.118187i | ||||
\(735\) | 10.5557 | − | 8.85732i | 0.389354 | − | 0.326707i | ||||
\(736\) | −7.61706 | + | 18.5299i | −0.280768 | + | 0.683022i | ||||
\(737\) | 1.69038 | − | 4.64429i | 0.0622661 | − | 0.171075i | ||||
\(738\) | 7.11075 | − | 0.688546i | 0.261750 | − | 0.0253457i | ||||
\(739\) | −15.7660 | − | 2.77998i | −0.579963 | − | 0.102263i | −0.124032 | − | 0.992278i | \(-0.539583\pi\) |
−0.455931 | + | 0.890015i | \(0.650694\pi\) | |||||||
\(740\) | 15.2629 | − | 0.282832i | 0.561075 | − | 0.0103971i | ||||
\(741\) | 19.1731 | + | 12.6004i | 0.704342 | + | 0.462888i | ||||
\(742\) | −4.59340 | − | 4.50907i | −0.168629 | − | 0.165533i | ||||
\(743\) | −0.0625726 | + | 0.354867i | −0.00229557 | + | 0.0130188i | −0.985934 | − | 0.167135i | \(-0.946548\pi\) |
0.983638 | + | 0.180154i | \(0.0576595\pi\) | |||||||
\(744\) | 45.2157 | − | 5.22557i | 1.65769 | − | 0.191579i | ||||
\(745\) | −3.55914 | − | 1.29542i | −0.130397 | − | 0.0474606i | ||||
\(746\) | 8.07134 | − | 17.7362i | 0.295513 | − | 0.649368i | ||||
\(747\) | −2.60475 | − | 3.10422i | −0.0953028 | − | 0.113577i | ||||
\(748\) | 8.29741 | + | 13.7756i | 0.303383 | + | 0.503687i | ||||
\(749\) | −1.77821 | − | 1.02665i | −0.0649744 | − | 0.0375130i | ||||
\(750\) | −13.4798 | + | 19.6359i | −0.492215 | + | 0.717002i | ||||
\(751\) | 7.31658 | + | 41.4944i | 0.266986 | + | 1.51415i | 0.763320 | + | 0.646021i | \(0.223568\pi\) |
−0.496334 | + | 0.868132i | \(0.665321\pi\) | |||||||
\(752\) | 23.3329 | + | 12.3421i | 0.850865 | + | 0.450068i | ||||
\(753\) | 15.7329 | − | 9.08342i | 0.573340 | − | 0.331018i | ||||
\(754\) | −4.62944 | − | 0.361841i | −0.168594 | − | 0.0131775i | ||||
\(755\) | −18.1223 | + | 6.59596i | −0.659537 | + | 0.240052i | ||||
\(756\) | 18.9385 | + | 6.49828i | 0.688787 | + | 0.236340i | ||||
\(757\) | 24.5988 | + | 20.6409i | 0.894060 | + | 0.750205i | 0.969020 | − | 0.246981i | \(-0.0794386\pi\) |
−0.0749606 | + | 0.997186i | \(0.523883\pi\) | |||||||
\(758\) | 1.28023 | − | 0.914215i | 0.0464999 | − | 0.0332058i | ||||
\(759\) | 6.59594 | 0.239418 | ||||||||
\(760\) | 28.7542 | − | 1.64778i | 1.04302 | − | 0.0597714i | ||||
\(761\) | 45.1130 | 1.63535 | 0.817673 | − | 0.575683i | \(-0.195264\pi\) | ||||
0.817673 | + | 0.575683i | \(0.195264\pi\) | |||||||
\(762\) | 18.7688 | − | 13.4029i | 0.679921 | − | 0.485534i | ||||
\(763\) | 1.65206 | + | 1.38625i | 0.0598087 | + | 0.0501854i | ||||
\(764\) | −28.8636 | − | 9.90385i | −1.04425 | − | 0.358309i | ||||
\(765\) | 7.24038 | − | 2.63528i | 0.261777 | − | 0.0952789i | ||||
\(766\) | 32.7268 | + | 2.55796i | 1.18247 | + | 0.0924227i | ||||
\(767\) | −0.173908 | + | 0.100406i | −0.00627944 | + | 0.00362544i | ||||
\(768\) | 11.0330 | − | 22.8701i | 0.398119 | − | 0.825254i | ||||
\(769\) | −5.36787 | − | 30.4427i | −0.193570 | − | 1.09779i | −0.914440 | − | 0.404722i | \(-0.867368\pi\) |
0.720870 | − | 0.693071i | \(-0.243743\pi\) | |||||||
\(770\) | −3.97594 | + | 5.79170i | −0.143283 | + | 0.208718i | ||||
\(771\) | −11.7836 | − | 6.80328i | −0.424377 | − | 0.245014i | ||||
\(772\) | −4.26404 | − | 7.07930i | −0.153466 | − | 0.254789i | ||||
\(773\) | −1.11380 | − | 1.32737i | −0.0400605 | − | 0.0477422i | 0.745642 | − | 0.666347i | \(-0.232143\pi\) |
−0.785703 | + | 0.618604i | \(0.787698\pi\) | |||||||
\(774\) | 2.35223 | − | 5.16886i | 0.0845491 | − | 0.185791i | ||||
\(775\) | 4.35796 | + | 1.58617i | 0.156543 | + | 0.0569768i | ||||
\(776\) | 3.14354 | + | 27.2004i | 0.112847 | + | 0.976438i | ||||
\(777\) | 1.63153 | − | 9.25288i | 0.0585309 | − | 0.331945i | ||||
\(778\) | −7.09092 | − | 6.96074i | −0.254222 | − | 0.249555i | ||||
\(779\) | −13.1351 | − | 43.8165i | −0.470612 | − | 1.56989i | ||||
\(780\) | 24.5878 | − | 0.455627i | 0.880383 | − | 0.0163141i | ||||
\(781\) | −17.9766 | − | 3.16975i | −0.643252 | − | 0.113423i | ||||
\(782\) | 34.1581 | − | 3.30759i | 1.22149 | − | 0.118279i | ||||
\(783\) | 1.87081 | − | 5.14001i | 0.0668574 | − | 0.183689i | ||||
\(784\) | 13.7724 | − | 5.59889i | 0.491871 | − | 0.199960i | ||||
\(785\) | −23.1697 | + | 19.4417i | −0.826963 | + | 0.693904i | ||||
\(786\) | −13.5096 | − | 3.48608i | −0.481873 | − | 0.124345i | ||||
\(787\) | −3.88248 | + | 6.72466i | −0.138396 | + | 0.239708i | −0.926889 | − | 0.375334i | \(-0.877528\pi\) |
0.788494 | + | 0.615043i | \(0.210861\pi\) | |||||||
\(788\) | −40.9595 | + | 8.00744i | −1.45912 | + | 0.285253i | ||||
\(789\) | 47.1557 | − | 8.31483i | 1.67879 | − | 0.296016i | ||||
\(790\) | −12.1491 | + | 3.37628i | −0.432246 | + | 0.120123i | ||||
\(791\) | −7.11044 | − | 12.3156i | −0.252818 | − | 0.437894i | ||||
\(792\) | 1.59496 | + | 0.0949702i | 0.0566745 | + | 0.00337462i | ||||
\(793\) | −2.94421 | − | 8.08915i | −0.104552 | − | 0.287254i | ||||
\(794\) | −7.37892 | − | 15.4488i | −0.261868 | − | 0.548259i | ||||
\(795\) | 5.98599 | − | 7.13382i | 0.212301 | − | 0.253011i | ||||
\(796\) | 1.33633 | − | 8.49640i | 0.0473651 | − | 0.301147i | ||||
\(797\) | 22.2993i | 0.789883i | 0.918706 | + | 0.394942i | \(0.129235\pi\) | ||||
−0.918706 | + | 0.394942i | \(0.870765\pi\) | |||||||
\(798\) | 2.40021 | − | 17.5634i | 0.0849664 | − | 0.621738i | ||||
\(799\) | − | 45.2151i | − | 1.59959i | ||||||
\(800\) | 2.04832 | − | 1.58049i | 0.0724189 | − | 0.0558789i | ||||
\(801\) | −2.14569 | + | 2.55713i | −0.0758142 | + | 0.0903518i | ||||
\(802\) | −25.9835 | + | 12.4107i | −0.917511 | + | 0.438236i | ||||
\(803\) | 2.91344 | + | 8.00462i | 0.102813 | + | 0.282477i | ||||
\(804\) | 8.78076 | + | 10.0792i | 0.309674 | + | 0.355466i | ||||
\(805\) | 7.49576 | + | 12.9830i | 0.264191 | + | 0.457592i | ||||
\(806\) | 12.7347 | + | 45.8242i | 0.448561 | + | 1.61409i | ||||
\(807\) | 27.3160 | − | 4.81654i | 0.961567 | − | 0.169550i | ||||
\(808\) | −3.30790 | − | 2.18179i | −0.116372 | − | 0.0767550i | ||||
\(809\) | 19.4550 | − | 33.6971i | 0.684003 | − | 1.18473i | −0.289747 | − | 0.957103i | \(-0.593571\pi\) |
0.973749 | − | 0.227624i | \(-0.0730957\pi\) | |||||||
\(810\) | −6.04589 | + | 23.4297i | −0.212431 | + | 0.823235i | ||||
\(811\) | 21.0504 | − | 17.6634i | 0.739180 | − | 0.620246i | −0.193437 | − | 0.981113i | \(-0.561964\pi\) |
0.932617 | + | 0.360867i | \(0.117519\pi\) | |||||||
\(812\) | 1.28936 | + | 3.34812i | 0.0452475 | + | 0.117496i | ||||
\(813\) | 5.46700 | − | 15.0205i | 0.191736 | − | 0.526791i | ||||
\(814\) | −0.522624 | − | 5.39724i | −0.0183180 | − | 0.189173i | ||||
\(815\) | −46.5958 | − | 8.21610i | −1.63218 | − | 0.287798i | ||||
\(816\) | −43.4658 | + | 1.61145i | −1.52161 | + | 0.0564121i | ||||
\(817\) | −35.3848 | − | 8.37284i | −1.23796 | − | 0.292929i | ||||
\(818\) | −15.0668 | + | 15.3485i | −0.526797 | + | 0.536649i | ||||
\(819\) | −0.502336 | + | 2.84889i | −0.0175530 | + | 0.0995482i | ||||
\(820\) | −38.1371 | − | 30.8150i | −1.33181 | − | 1.07611i | ||||
\(821\) | 42.8965 | + | 15.6131i | 1.49710 | + | 0.544900i | 0.955308 | − | 0.295613i | \(-0.0955240\pi\) |
0.541791 | + | 0.840513i | \(0.317746\pi\) | |||||||
\(822\) | −5.99520 | − | 2.72828i | −0.209106 | − | 0.0951596i | ||||
\(823\) | 20.8578 | + | 24.8574i | 0.727058 | + | 0.866474i | 0.995296 | − | 0.0968783i | \(-0.0308857\pi\) |
−0.268238 | + | 0.963353i | \(0.586441\pi\) | |||||||
\(824\) | 14.0587 | + | 3.35122i | 0.489758 | + | 0.116745i | ||||
\(825\) | −0.737665 | − | 0.425891i | −0.0256822 | − | 0.0148276i | ||||
\(826\) | 0.127915 | + | 0.0878120i | 0.00445072 | + | 0.00305537i | ||||
\(827\) | 8.22368 | + | 46.6388i | 0.285965 | + | 1.62179i | 0.701817 | + | 0.712358i | \(0.252373\pi\) |
−0.415851 | + | 0.909433i | \(0.636516\pi\) | |||||||
\(828\) | 1.64983 | − | 2.98394i | 0.0573357 | − | 0.103699i | ||||
\(829\) | 42.8777 | − | 24.7555i | 1.48920 | − | 0.859792i | 0.489280 | − | 0.872127i | \(-0.337259\pi\) |
0.999924 | + | 0.0123341i | \(0.00392616\pi\) | |||||||
\(830\) | −2.16716 | + | 27.7269i | −0.0752231 | + | 0.962415i | ||||
\(831\) | −25.4165 | + | 9.25086i | −0.881690 | + | 0.320909i | ||||
\(832\) | 25.3982 | + | 7.67550i | 0.880523 | + | 0.266100i | ||||
\(833\) | −19.5083 | − | 16.3694i | −0.675923 | − | 0.567167i | ||||
\(834\) | 24.3048 | + | 34.0353i | 0.841606 | + | 1.17855i | ||||
\(835\) | 0.599642 | 0.0207515 | ||||||||
\(836\) | −1.37942 | − | 10.1371i | −0.0477084 | − | 0.350601i | ||||
\(837\) | −56.0243 | −1.93648 | ||||||||
\(838\) | 29.4427 | + | 41.2302i | 1.01708 | + | 1.42427i | ||||
\(839\) | −10.5713 | − | 8.87035i | −0.364961 | − | 0.306239i | 0.441803 | − | 0.897112i | \(-0.354339\pi\) |
−0.806764 | + | 0.590873i | \(0.798783\pi\) | |||||||
\(840\) | −8.50551 | − | 16.9907i | −0.293468 | − | 0.586236i | ||||
\(841\) | −26.3300 | + | 9.58335i | −0.907933 | + | 0.330460i | ||||
\(842\) | −2.49653 | + | 31.9409i | −0.0860360 | + | 1.10076i | ||||
\(843\) | 29.6378 | − | 17.1114i | 1.02078 | − | 0.589348i | ||||
\(844\) | −26.1511 | − | 14.4591i | −0.900158 | − | 0.497701i | ||||
\(845\) | −0.811441 | − | 4.60191i | −0.0279144 | − | 0.158311i | ||||
\(846\) | −3.70364 | − | 2.54251i | −0.127334 | − | 0.0874133i | ||||
\(847\) | −15.1003 | − | 8.71818i | −0.518854 | − | 0.299560i | ||||
\(848\) | 8.50924 | − | 5.34264i | 0.292209 | − | 0.183467i | ||||
\(849\) | 8.21543 | + | 9.79077i | 0.281953 | + | 0.336018i | ||||
\(850\) | −4.03368 | − | 1.83564i | −0.138354 | − | 0.0629618i | ||||
\(851\) | −10.8737 | − | 3.95771i | −0.372746 | − | 0.135669i | ||||
\(852\) | 31.0290 | − | 38.4020i | 1.06304 | − | 1.31563i | ||||
\(853\) | −2.46226 | + | 13.9642i | −0.0843063 | + | 0.478125i | 0.913198 | + | 0.407516i | \(0.133605\pi\) |
−0.997504 | + | 0.0706082i | \(0.977506\pi\) | |||||||
\(854\) | −4.65928 | + | 4.74642i | −0.159437 | + | 0.162419i | ||||
\(855\) | −4.89353 | − | 0.283240i | −0.167355 | − | 0.00968660i | ||||
\(856\) | 2.20251 | − | 2.32847i | 0.0752802 | − | 0.0795854i | ||||
\(857\) | 7.34879 | + | 1.29579i | 0.251030 | + | 0.0442633i | 0.297747 | − | 0.954645i | \(-0.403765\pi\) |
−0.0467172 | + | 0.998908i | \(0.514876\pi\) | |||||||
\(858\) | −0.841921 | − | 8.69469i | −0.0287427 | − | 0.296832i | ||||
\(859\) | 10.1159 | − | 27.7932i | 0.345150 | − | 0.948292i | −0.638725 | − | 0.769435i | \(-0.720538\pi\) |
0.983875 | − | 0.178857i | \(-0.0572399\pi\) | |||||||
\(860\) | −36.3717 | + | 14.0067i | −1.24026 | + | 0.477623i | ||||
\(861\) | −23.1172 | + | 19.3977i | −0.787833 | + | 0.661070i | ||||
\(862\) | 3.96560 | − | 15.3679i | 0.135069 | − | 0.523434i | ||||
\(863\) | 5.47829 | − | 9.48868i | 0.186483 | − | 0.322998i | −0.757592 | − | 0.652728i | \(-0.773624\pi\) |
0.944075 | + | 0.329730i | \(0.106958\pi\) | |||||||
\(864\) | −16.7219 | + | 26.4045i | −0.568891 | + | 0.898300i | ||||
\(865\) | −11.9388 | + | 2.10513i | −0.405930 | + | 0.0715764i | ||||
\(866\) | −7.63181 | − | 27.4621i | −0.259339 | − | 0.933199i | ||||
\(867\) | 23.7632 | + | 41.1591i | 0.807042 | + | 1.39784i | ||||
\(868\) | 27.7077 | − | 24.1383i | 0.940460 | − | 0.819306i | ||||
\(869\) | 1.53193 | + | 4.20893i | 0.0519670 | + | 0.142778i | ||||
\(870\) | −4.68394 | + | 2.23721i | −0.158800 | + | 0.0758487i | ||||
\(871\) | −8.97839 | + | 10.7000i | −0.304221 | + | 0.362557i | ||||
\(872\) | −2.70286 | + | 2.00677i | −0.0915305 | + | 0.0679578i | ||||
\(873\) | − | 4.66007i | − | 0.157719i | ||||||
\(874\) | −20.7890 | − | 6.66734i | −0.703199 | − | 0.225526i | ||||
\(875\) | 19.2288i | 0.650053i | ||||||||
\(876\) | −22.7597 | − | 3.57971i | −0.768981 | − | 0.120947i | ||||
\(877\) | −23.2889 | + | 27.7546i | −0.786409 | + | 0.937206i | −0.999204 | − | 0.0398910i | \(-0.987299\pi\) |
0.212795 | + | 0.977097i | \(0.431743\pi\) | |||||||
\(878\) | −0.296379 | − | 0.620512i | −0.0100023 | − | 0.0209413i | ||||
\(879\) | 11.6407 | + | 31.9824i | 0.392630 | + | 1.07874i | ||||
\(880\) | −7.35513 | − | 8.13345i | −0.247941 | − | 0.274179i | ||||
\(881\) | 19.4769 | + | 33.7350i | 0.656193 | + | 1.13656i | 0.981593 | + | 0.190984i | \(0.0611678\pi\) |
−0.325400 | + | 0.945577i | \(0.605499\pi\) | |||||||
\(882\) | −2.43783 | + | 0.677481i | −0.0820859 | + | 0.0228120i | ||||
\(883\) | −44.8687 | + | 7.91156i | −1.50995 | + | 0.266245i | −0.866475 | − | 0.499220i | \(-0.833620\pi\) |
−0.643477 | + | 0.765466i | \(0.722509\pi\) | |||||||
\(884\) | −8.72004 | − | 44.6046i | −0.293287 | − | 1.50022i | ||||
\(885\) | −0.112238 | + | 0.194402i | −0.00377285 | + | 0.00653477i | ||||
\(886\) | −6.34083 | − | 1.63621i | −0.213024 | − | 0.0549696i | ||||
\(887\) | 9.34979 | − | 7.84541i | 0.313935 | − | 0.263423i | −0.472181 | − | 0.881502i | \(-0.656533\pi\) |
0.786116 | + | 0.618079i | \(0.212089\pi\) | |||||||
\(888\) | 13.4592 | + | 5.82643i | 0.451661 | + | 0.195522i | ||||
\(889\) | 6.36831 | − | 17.4968i | 0.213586 | − | 0.586823i | ||||
\(890\) | 22.8033 | − | 2.20808i | 0.764369 | − | 0.0740151i | ||||
\(891\) | 8.46453 | + | 1.49252i | 0.283572 | + | 0.0500015i | ||||
\(892\) | −0.617583 | − | 33.3276i | −0.0206782 | − | 1.11589i | ||||
\(893\) | −11.3835 | + | 26.4161i | −0.380933 | + | 0.883981i | ||||
\(894\) | −2.59679 | − | 2.54912i | −0.0868497 | − | 0.0852552i | ||||
\(895\) | −0.113706 | + | 0.644860i | −0.00380078 | + | 0.0215553i | ||||
\(896\) | −3.10640 | − | 20.2635i | −0.103778 | − | 0.676955i | ||||
\(897\) | −17.5170 | − | 6.37567i | −0.584876 | − | 0.212877i | ||||
\(898\) | 12.5007 | − | 27.4695i | 0.417155 | − | 0.916669i | ||||
\(899\) | −6.45294 | − | 7.69031i | −0.215217 | − | 0.256486i | ||||
\(900\) | −0.377180 | + | 0.227185i | −0.0125727 | + | 0.00757284i | ||||
\(901\) | −14.9049 | − | 8.60537i | −0.496555 | − | 0.286686i | ||||
\(902\) | −9.85696 | + | 14.3585i | −0.328201 | + | 0.478086i | ||||
\(903\) | 4.16558 | + | 23.6242i | 0.138622 | + | 0.786163i | ||||
\(904\) | 21.2739 | − | 6.33896i | 0.707560 | − | 0.210831i | ||||
\(905\) | −42.2384 | + | 24.3864i | −1.40405 | + | 0.810630i | ||||
\(906\) | −18.4718 | − | 1.44377i | −0.613686 | − | 0.0479661i | ||||
\(907\) | 5.77134 | − | 2.10060i | 0.191634 | − | 0.0697492i | −0.244420 | − | 0.969669i | \(-0.578598\pi\) |
0.436055 | + | 0.899920i | \(0.356375\pi\) | |||||||
\(908\) | 4.98189 | − | 14.5192i | 0.165330 | − | 0.481835i | ||||
\(909\) | 0.516622 | + | 0.433497i | 0.0171353 | + | 0.0143782i | ||||
\(910\) | 16.1573 | − | 11.5380i | 0.535609 | − | 0.382481i | ||||
\(911\) | −20.4717 | −0.678257 | −0.339128 | − | 0.940740i | \(-0.610132\pi\) | ||||
−0.339128 | + | 0.940740i | \(0.610132\pi\) | |||||||
\(912\) | 25.7998 | + | 10.0016i | 0.854318 | + | 0.331186i | ||||
\(913\) | 9.87896 | 0.326946 | ||||||||
\(914\) | 17.8369 | − | 12.7374i | 0.589992 | − | 0.421316i | ||||
\(915\) | −7.37147 | − | 6.18540i | −0.243693 | − | 0.204483i | ||||
\(916\) | 10.1324 | − | 29.5296i | 0.334783 | − | 0.975687i | ||||
\(917\) | −10.5848 | + | 3.85256i | −0.349542 | + | 0.127223i | ||||
\(918\) | 53.3739 | + | 4.17175i | 1.76160 | + | 0.137688i | ||||
\(919\) | 2.64385 | − | 1.52642i | 0.0872124 | − | 0.0503521i | −0.455760 | − | 0.890103i | \(-0.650632\pi\) |
0.542972 | + | 0.839751i | \(0.317299\pi\) | |||||||
\(920\) | −22.4268 | + | 6.68248i | −0.739389 | + | 0.220315i | ||||
\(921\) | −2.28837 | − | 12.9780i | −0.0754045 | − | 0.427640i | ||||
\(922\) | 10.2584 | − | 14.9433i | 0.337844 | − | 0.492132i | ||||
\(923\) | 44.6769 | + | 25.7942i | 1.47056 | + | 0.849027i | ||||
\(924\) | −5.78153 | + | 3.48236i | −0.190198 | + | 0.114561i | ||||
\(925\) | 0.960532 | + | 1.14472i | 0.0315821 | + | 0.0376381i | ||||
\(926\) | 1.12870 | − | 2.48024i | 0.0370914 | − | 0.0815057i | ||||
\(927\) | −2.31136 | − | 0.841266i | −0.0759150 | − | 0.0276308i | ||||
\(928\) | −5.55053 | + | 0.745925i | −0.182205 | + | 0.0244862i | ||||
\(929\) | 3.00547 | − | 17.0449i | 0.0986062 | − | 0.559224i | −0.894976 | − | 0.446114i | \(-0.852808\pi\) |
0.993582 | − | 0.113110i | \(-0.0360812\pi\) | |||||||
\(930\) | 37.9405 | + | 37.2440i | 1.24412 | + | 1.22128i | ||||
\(931\) | 7.27618 | + | 14.4750i | 0.238467 | + | 0.474399i | ||||
\(932\) | −0.699990 | − | 37.7747i | −0.0229289 | − | 1.23735i | ||||
\(933\) | −31.9706 | − | 5.63728i | −1.04667 | − | 0.184556i | ||||
\(934\) | −22.0996 | + | 2.13994i | −0.723120 | + | 0.0700210i | ||||
\(935\) | −6.42451 | + | 17.6512i | −0.210104 | + | 0.577256i | ||||
\(936\) | −4.14398 | − | 1.79391i | −0.135450 | − | 0.0586358i | ||||
\(937\) | 33.2970 | − | 27.9395i | 1.08776 | − | 0.912743i | 0.0912221 | − | 0.995831i | \(-0.470923\pi\) |
0.996542 | + | 0.0830880i | \(0.0264783\pi\) | |||||||
\(938\) | 10.4499 | + | 2.69652i | 0.341200 | + | 0.0880446i | ||||
\(939\) | −5.01151 | + | 8.68018i | −0.163544 | + | 0.283267i | ||||
\(940\) | 5.91554 | + | 30.2591i | 0.192944 | + | 0.986943i | ||||
\(941\) | −22.0435 | + | 3.88686i | −0.718596 | + | 0.126708i | −0.520977 | − | 0.853571i | \(-0.674432\pi\) |
−0.197620 | + | 0.980279i | \(0.563321\pi\) | |||||||
\(942\) | −27.9975 | + | 7.78059i | −0.912206 | + | 0.253505i | ||||
\(943\) | 18.5831 | + | 32.1869i | 0.605149 | + | 1.04815i | ||||
\(944\) | −0.179634 | + | 0.162444i | −0.00584659 | + | 0.00528710i | ||||
\(945\) | 7.99886 | + | 21.9767i | 0.260203 | + | 0.714902i | ||||
\(946\) | 5.96694 | + | 12.4927i | 0.194002 | + | 0.406171i | ||||
\(947\) | −35.7435 | + | 42.5974i | −1.16151 | + | 1.38423i | −0.252424 | + | 0.967617i | \(0.581228\pi\) |
−0.909084 | + | 0.416614i | \(0.863217\pi\) | |||||||
\(948\) | −11.9674 | − | 1.88226i | −0.388682 | − | 0.0611328i | ||||
\(949\) | − | 24.0742i | − | 0.781482i | ||||||
\(950\) | 1.89446 | + | 2.08797i | 0.0614645 | + | 0.0677427i | ||||
\(951\) | − | 27.4863i | − | 0.891304i | ||||||
\(952\) | −28.1943 | + | 20.9331i | −0.913783 | + | 0.678447i | ||||
\(953\) | −27.3266 | + | 32.5666i | −0.885197 | + | 1.05494i | 0.112921 | + | 0.993604i | \(0.463979\pi\) |
−0.998117 | + | 0.0613323i | \(0.980465\pi\) | |||||||
\(954\) | −1.54301 | + | 0.736995i | −0.0499567 | + | 0.0238611i | ||||
\(955\) | −12.1908 | − | 33.4940i | −0.394486 | − | 1.08384i | ||||
\(956\) | 4.04191 | − | 3.52121i | 0.130725 | − | 0.113884i | ||||
\(957\) | 0.921916 | + | 1.59680i | 0.0298013 | + | 0.0516174i | ||||
\(958\) | −12.8738 | − | 46.3246i | −0.415933 | − | 1.49668i | ||||
\(959\) | −5.23699 | + | 0.923422i | −0.169111 | + | 0.0298188i | ||||
\(960\) | 28.8776 | − | 6.76511i | 0.932021 | − | 0.218343i | ||||
\(961\) | −35.9112 | + | 62.2000i | −1.15843 | + | 2.00645i | ||||
\(962\) | −3.82906 | + | 14.8388i | −0.123454 | + | 0.478421i | ||||
\(963\) | −0.417863 | + | 0.350629i | −0.0134655 | + | 0.0112989i | ||||
\(964\) | −13.6224 | + | 5.24596i | −0.438748 | + | 0.168961i | ||||
\(965\) | 3.30155 | − | 9.07094i | 0.106281 | − | 0.292004i | ||||
\(966\) | 1.38817 | + | 14.3359i | 0.0446636 | + | 0.461250i | ||||
\(967\) | 0.517276 | + | 0.0912098i | 0.0166345 | + | 0.00293311i | 0.181959 | − | 0.983306i | \(-0.441756\pi\) |
−0.165325 | + | 0.986239i | \(0.552867\pi\) | |||||||
\(968\) | 18.7034 | − | 19.7731i | 0.601150 | − | 0.635530i | ||||
\(969\) | −5.51963 | − | 47.0758i | −0.177316 | − | 1.51229i | ||||
\(970\) | −22.4048 | + | 22.8239i | −0.719376 | + | 0.732830i | ||||
\(971\) | −0.197838 | + | 1.12200i | −0.00634893 | + | 0.0360066i | −0.987818 | − | 0.155616i | \(-0.950264\pi\) |
0.981469 | + | 0.191622i | \(0.0613749\pi\) | |||||||
\(972\) | 6.22378 | − | 7.70264i | 0.199628 | − | 0.247062i | ||||
\(973\) | 31.7287 | + | 11.5483i | 1.01718 | + | 0.370222i | ||||
\(974\) | 13.5910 | + | 6.18496i | 0.435484 | + | 0.198179i | ||||
\(975\) | 1.54737 | + | 1.84408i | 0.0495554 | + | 0.0590579i | ||||
\(976\) | −5.52062 | − | 8.79270i | −0.176711 | − | 0.281447i | ||||
\(977\) | 5.52514 | + | 3.18994i | 0.176765 | + | 0.102055i | 0.585772 | − | 0.810476i | \(-0.300791\pi\) |
−0.409007 | + | 0.912531i | \(0.634125\pi\) | |||||||
\(978\) | −37.4762 | − | 25.7270i | −1.19836 | − | 0.822660i | ||||
\(979\) | −1.41313 | − | 8.01426i | −0.0451638 | − | 0.256137i | ||||
\(980\) | 15.1971 | + | 8.40254i | 0.485453 | + | 0.268409i | ||||
\(981\) | 0.496170 | − | 0.286464i | 0.0158415 | − | 0.00914609i | ||||
\(982\) | −0.869397 | + | 11.1232i | −0.0277436 | + | 0.354955i | ||||
\(983\) | 42.0227 | − | 15.2950i | 1.34032 | − | 0.487835i | 0.430405 | − | 0.902636i | \(-0.358371\pi\) |
0.909912 | + | 0.414801i | \(0.136149\pi\) | |||||||
\(984\) | −21.0864 | − | 42.1226i | −0.672211 | − | 1.34282i | ||||
\(985\) | −37.3435 | − | 31.3349i | −1.18986 | − | 0.998412i | ||||
\(986\) | 5.57502 | + | 7.80700i | 0.177545 | + | 0.248626i | ||||
\(987\) | 18.9764 | 0.604026 | ||||||||
\(988\) | −6.13525 | + | 28.2548i | −0.195188 | + | 0.898906i | ||||
\(989\) | 29.5442 | 0.939450 | ||||||||
\(990\) | 1.08458 | + | 1.51879i | 0.0344702 | + | 0.0482705i | ||||
\(991\) | 32.3345 | + | 27.1319i | 1.02714 | + | 0.861873i | 0.990508 | − | 0.137455i | \(-0.0438924\pi\) |
0.0366327 | + | 0.999329i | \(0.488337\pi\) | |||||||
\(992\) | 26.6232 | + | 50.8087i | 0.845286 | + | 1.61318i | ||||
\(993\) | 38.9700 | − | 14.1839i | 1.23668 | − | 0.450114i | ||||
\(994\) | 3.10596 | − | 39.7381i | 0.0985151 | − | 1.26042i | ||||
\(995\) | 8.70027 | − | 5.02311i | 0.275817 | − | 0.159243i | ||||
\(996\) | −12.9288 | + | 23.3834i | −0.409664 | + | 0.740932i | ||||
\(997\) | 6.90104 | + | 39.1377i | 0.218558 | + | 1.23950i | 0.874624 | + | 0.484801i | \(0.161108\pi\) |
−0.656066 | + | 0.754703i | \(0.727781\pi\) | |||||||
\(998\) | 29.9750 | + | 20.5775i | 0.948841 | + | 0.651370i | ||||
\(999\) | −15.6334 | − | 9.02595i | −0.494619 | − | 0.285568i |
(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 | 76.2.k.a.59.3 | ✓ | 48 | |
3.2 | odd | 2 | 684.2.cf.a.667.6 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.59.4 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.667.5 | 48 | |||
19.10 | odd | 18 | inner | 76.2.k.a.67.4 | yes | 48 | |
57.29 | even | 18 | 684.2.cf.a.523.5 | 48 | |||
76.67 | even | 18 | inner | 76.2.k.a.67.3 | yes | 48 | |
228.143 | odd | 18 | 684.2.cf.a.523.6 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.59.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
76.2.k.a.59.4 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.67.3 | yes | 48 | 76.67 | even | 18 | inner | |
76.2.k.a.67.4 | yes | 48 | 19.10 | odd | 18 | inner | |
684.2.cf.a.523.5 | 48 | 57.29 | even | 18 | |||
684.2.cf.a.523.6 | 48 | 228.143 | odd | 18 | |||
684.2.cf.a.667.5 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.667.6 | 48 | 3.2 | odd | 2 |