Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [270,2,Mod(23,270)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(270, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("270.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 270 = 2 \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 270.r (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.15596085457\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 23.13 | ||
Character | \(\chi\) | \(=\) | 270.23 |
Dual form | 270.2.r.a.47.13 |
$q$-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 \(\left(\mathbb{Z}/270\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(217\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.422618 | + | 0.906308i | 0.298836 | + | 0.640856i | ||||
\(3\) | −0.572880 | − | 1.63457i | −0.330752 | − | 0.943718i | ||||
\(4\) | −0.642788 | + | 0.766044i | −0.321394 | + | 0.383022i | ||||
\(5\) | −2.22872 | + | 0.181179i | −0.996712 | + | 0.0810256i | ||||
\(6\) | 1.23931 | − | 1.21000i | 0.505947 | − | 0.493982i | ||||
\(7\) | 0.347359 | − | 3.97033i | 0.131289 | − | 1.50064i | −0.589657 | − | 0.807654i | \(-0.700737\pi\) |
0.720946 | − | 0.692991i | \(-0.243707\pi\) | |||||||
\(8\) | −0.965926 | − | 0.258819i | −0.341506 | − | 0.0915064i | ||||
\(9\) | −2.34362 | + | 1.87282i | −0.781206 | + | 0.624274i | ||||
\(10\) | −1.10610 | − | 1.94333i | −0.349779 | − | 0.614536i | ||||
\(11\) | −1.35885 | + | 0.239602i | −0.409709 | + | 0.0722428i | −0.374704 | − | 0.927144i | \(-0.622256\pi\) |
−0.0350050 | + | 0.999387i | \(0.511145\pi\) | |||||||
\(12\) | 1.62039 | + | 0.611828i | 0.467767 | + | 0.176619i | ||||
\(13\) | −6.29127 | − | 2.93367i | −1.74488 | − | 0.813653i | −0.986891 | − | 0.161390i | \(-0.948402\pi\) |
−0.757993 | − | 0.652263i | \(-0.773820\pi\) | |||||||
\(14\) | 3.74514 | − | 1.36312i | 1.00093 | − | 0.364309i | ||||
\(15\) | 1.57294 | + | 3.53919i | 0.406130 | + | 0.913815i | ||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | 3.88494 | − | 1.04097i | 0.942237 | − | 0.252472i | 0.245172 | − | 0.969480i | \(-0.421156\pi\) |
0.697065 | + | 0.717008i | \(0.254489\pi\) | |||||||
\(18\) | −2.68781 | − | 1.33255i | −0.633522 | − | 0.314085i | ||||
\(19\) | 3.21964 | − | 1.85886i | 0.738637 | − | 0.426452i | −0.0829365 | − | 0.996555i | \(-0.526430\pi\) |
0.821574 | + | 0.570103i | \(0.193097\pi\) | |||||||
\(20\) | 1.29380 | − | 1.82375i | 0.289302 | − | 0.407804i | ||||
\(21\) | −6.68877 | + | 1.70674i | −1.45961 | + | 0.372442i | ||||
\(22\) | −0.791429 | − | 1.13028i | −0.168733 | − | 0.240976i | ||||
\(23\) | −0.493571 | + | 0.0431819i | −0.102917 | + | 0.00900405i | −0.138498 | − | 0.990363i | \(-0.544227\pi\) |
0.0355810 | + | 0.999367i | \(0.488672\pi\) | |||||||
\(24\) | 0.130302 | + | 1.72714i | 0.0265979 | + | 0.352551i | ||||
\(25\) | 4.93435 | − | 0.807592i | 0.986870 | − | 0.161518i | ||||
\(26\) | − | 6.94165i | − | 1.36137i | ||||||
\(27\) | 4.40386 | + | 2.75790i | 0.847524 | + | 0.530758i | ||||
\(28\) | 2.81817 | + | 2.81817i | 0.532585 | + | 0.532585i | ||||
\(29\) | −5.74999 | − | 2.09283i | −1.06775 | − | 0.388628i | −0.252413 | − | 0.967620i | \(-0.581224\pi\) |
−0.815333 | + | 0.578992i | \(0.803446\pi\) | |||||||
\(30\) | −2.54285 | + | 2.92129i | −0.464258 | + | 0.533352i | ||||
\(31\) | −1.18093 | − | 0.990920i | −0.212102 | − | 0.177974i | 0.530547 | − | 0.847655i | \(-0.321986\pi\) |
−0.742649 | + | 0.669681i | \(0.766431\pi\) | |||||||
\(32\) | 0.819152 | − | 0.573576i | 0.144807 | − | 0.101395i | ||||
\(33\) | 1.17011 | + | 2.08387i | 0.203689 | + | 0.362755i | ||||
\(34\) | 2.58528 | + | 3.08102i | 0.443373 | + | 0.528391i | ||||
\(35\) | −0.0548245 | + | 8.91168i | −0.00926704 | + | 1.50635i | ||||
\(36\) | 0.0717843 | − | 2.99914i | 0.0119640 | − | 0.499857i | ||||
\(37\) | −0.520493 | − | 1.94251i | −0.0855685 | − | 0.319346i | 0.909853 | − | 0.414931i | \(-0.136194\pi\) |
−0.995421 | + | 0.0955853i | \(0.969528\pi\) | |||||||
\(38\) | 3.04538 | + | 2.13240i | 0.494026 | + | 0.345921i | ||||
\(39\) | −1.19113 | + | 11.9641i | −0.190734 | + | 1.91579i | ||||
\(40\) | 2.19967 | + | 0.401829i | 0.347798 | + | 0.0635347i | ||||
\(41\) | 2.87157 | + | 7.88959i | 0.448465 | + | 1.23215i | 0.933793 | + | 0.357814i | \(0.116478\pi\) |
−0.485328 | + | 0.874332i | \(0.661300\pi\) | |||||||
\(42\) | −4.37363 | − | 5.34078i | −0.674866 | − | 0.824101i | ||||
\(43\) | −0.771633 | + | 1.10201i | −0.117673 | + | 0.168054i | −0.873667 | − | 0.486524i | \(-0.838265\pi\) |
0.755995 | + | 0.654578i | \(0.227154\pi\) | |||||||
\(44\) | 0.689907 | − | 1.19495i | 0.104007 | − | 0.180146i | ||||
\(45\) | 4.88394 | − | 4.59860i | 0.728055 | − | 0.685519i | ||||
\(46\) | −0.247728 | − | 0.429078i | −0.0365255 | − | 0.0632641i | ||||
\(47\) | 8.00145 | + | 0.700036i | 1.16713 | + | 0.102111i | 0.654202 | − | 0.756320i | \(-0.273005\pi\) |
0.512930 | + | 0.858431i | \(0.328560\pi\) | |||||||
\(48\) | −1.51025 | + | 0.848016i | −0.217986 | + | 0.122401i | ||||
\(49\) | −8.74923 | − | 1.54272i | −1.24989 | − | 0.220389i | ||||
\(50\) | 2.81727 | + | 4.13074i | 0.398423 | + | 0.584174i | ||||
\(51\) | −3.92714 | − | 5.75385i | −0.549909 | − | 0.805700i | ||||
\(52\) | 6.29127 | − | 2.93367i | 0.872442 | − | 0.406826i | ||||
\(53\) | 2.13282 | − | 2.13282i | 0.292965 | − | 0.292965i | −0.545285 | − | 0.838251i | \(-0.683579\pi\) |
0.838251 | + | 0.545285i | \(0.183579\pi\) | |||||||
\(54\) | −0.638352 | + | 5.15679i | −0.0868687 | + | 0.701751i | ||||
\(55\) | 2.98508 | − | 0.780201i | 0.402509 | − | 0.105202i | ||||
\(56\) | −1.36312 | + | 3.74514i | −0.182155 | + | 0.500466i | ||||
\(57\) | −4.88290 | − | 4.19782i | −0.646757 | − | 0.556015i | ||||
\(58\) | −0.533307 | − | 6.09573i | −0.0700266 | − | 0.800408i | ||||
\(59\) | −0.447387 | + | 2.53726i | −0.0582449 | + | 0.330323i | −0.999982 | − | 0.00602718i | \(-0.998081\pi\) |
0.941737 | + | 0.336350i | \(0.109193\pi\) | |||||||
\(60\) | −3.72224 | − | 1.07001i | −0.480539 | − | 0.138138i | ||||
\(61\) | 6.83565 | − | 5.73579i | 0.875215 | − | 0.734393i | −0.0899743 | − | 0.995944i | \(-0.528678\pi\) |
0.965190 | + | 0.261551i | \(0.0842340\pi\) | |||||||
\(62\) | 0.398995 | − | 1.48907i | 0.0506724 | − | 0.189112i | ||||
\(63\) | 6.62164 | + | 9.95548i | 0.834249 | + | 1.25427i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 14.5530 | + | 5.39846i | 1.80507 | + | 0.669597i | ||||
\(66\) | −1.39412 | + | 1.94116i | −0.171604 | + | 0.238940i | ||||
\(67\) | −1.77666 | + | 3.81006i | −0.217054 | + | 0.465473i | −0.984442 | − | 0.175710i | \(-0.943778\pi\) |
0.767388 | + | 0.641182i | \(0.221556\pi\) | |||||||
\(68\) | −1.69977 | + | 3.64516i | −0.206127 | + | 0.442041i | ||||
\(69\) | 0.353341 | + | 0.782037i | 0.0425372 | + | 0.0941462i | ||||
\(70\) | −8.09989 | + | 3.71655i | −0.968122 | + | 0.444213i | ||||
\(71\) | −10.9974 | − | 6.34938i | −1.30516 | − | 0.753532i | −0.323873 | − | 0.946101i | \(-0.604985\pi\) |
−0.981284 | + | 0.192568i | \(0.938318\pi\) | |||||||
\(72\) | 2.74848 | − | 1.20243i | 0.323912 | − | 0.141708i | ||||
\(73\) | 2.06099 | − | 7.69172i | 0.241221 | − | 0.900248i | −0.734025 | − | 0.679123i | \(-0.762360\pi\) |
0.975245 | − | 0.221125i | \(-0.0709729\pi\) | |||||||
\(74\) | 1.54054 | − | 1.29267i | 0.179084 | − | 0.150269i | ||||
\(75\) | −4.14685 | − | 7.60287i | −0.478837 | − | 0.877904i | ||||
\(76\) | −0.645576 | + | 3.66124i | −0.0740527 | + | 0.419974i | ||||
\(77\) | 0.479291 | + | 5.47832i | 0.0546203 | + | 0.624313i | ||||
\(78\) | −11.3466 | + | 3.97673i | −1.28475 | + | 0.450276i | ||||
\(79\) | −1.30184 | + | 3.57678i | −0.146469 | + | 0.402420i | −0.991132 | − | 0.132878i | \(-0.957578\pi\) |
0.844664 | + | 0.535297i | \(0.179800\pi\) | |||||||
\(80\) | 0.565439 | + | 2.16340i | 0.0632180 | + | 0.241875i | ||||
\(81\) | 1.98508 | − | 8.77835i | 0.220565 | − | 0.975372i | ||||
\(82\) | −5.93681 | + | 5.93681i | −0.655611 | + | 0.655611i | ||||
\(83\) | −1.01524 | + | 0.473413i | −0.111437 | + | 0.0519639i | −0.477537 | − | 0.878611i | \(-0.658470\pi\) |
0.366100 | + | 0.930575i | \(0.380693\pi\) | |||||||
\(84\) | 2.99202 | − | 6.22097i | 0.326456 | − | 0.678763i | ||||
\(85\) | −8.46983 | + | 3.02389i | −0.918682 | + | 0.327987i | ||||
\(86\) | −1.32486 | − | 0.233609i | −0.142864 | − | 0.0251907i | ||||
\(87\) | −0.126809 | + | 10.5977i | −0.0135954 | + | 1.13619i | ||||
\(88\) | 1.37456 | + | 0.120259i | 0.146529 | + | 0.0128196i | ||||
\(89\) | −3.93997 | − | 6.82423i | −0.417636 | − | 0.723367i | 0.578065 | − | 0.815991i | \(-0.303808\pi\) |
−0.995701 | + | 0.0926237i | \(0.970475\pi\) | |||||||
\(90\) | 6.23179 | + | 2.48290i | 0.656888 | + | 0.261721i | ||||
\(91\) | −13.8330 | + | 23.9594i | −1.45009 | + | 2.51163i | ||||
\(92\) | 0.284182 | − | 0.405854i | 0.0296280 | − | 0.0423132i | ||||
\(93\) | −0.943192 | + | 2.49799i | −0.0978045 | + | 0.259030i | ||||
\(94\) | 2.74711 | + | 7.54763i | 0.283343 | + | 0.778478i | ||||
\(95\) | −6.83889 | + | 4.72621i | −0.701655 | + | 0.484899i | ||||
\(96\) | −1.40682 | − | 1.01037i | −0.143583 | − | 0.103120i | ||||
\(97\) | −8.52287 | − | 5.96778i | −0.865366 | − | 0.605936i | 0.0543491 | − | 0.998522i | \(-0.482692\pi\) |
−0.919715 | + | 0.392586i | \(0.871581\pi\) | |||||||
\(98\) | −2.29940 | − | 8.58148i | −0.232274 | − | 0.866860i | ||||
\(99\) | 2.73590 | − | 3.10642i | 0.274968 | − | 0.312207i | ||||
\(100\) | −2.55309 | + | 4.29904i | −0.255309 | + | 0.429904i | ||||
\(101\) | 8.81667 | + | 10.5073i | 0.877291 | + | 1.04552i | 0.998600 | + | 0.0529004i | \(0.0168466\pi\) |
−0.121308 | + | 0.992615i | \(0.538709\pi\) | |||||||
\(102\) | 3.55508 | − | 5.99088i | 0.352005 | − | 0.593185i | ||||
\(103\) | 15.4719 | − | 10.8335i | 1.52449 | − | 1.06746i | 0.552194 | − | 0.833716i | \(-0.313791\pi\) |
0.972298 | − | 0.233745i | \(-0.0750982\pi\) | |||||||
\(104\) | 5.31761 | + | 4.46200i | 0.521434 | + | 0.437535i | ||||
\(105\) | 14.5981 | − | 5.01571i | 1.42463 | − | 0.489483i | ||||
\(106\) | 2.83436 | + | 1.03162i | 0.275297 | + | 0.100200i | ||||
\(107\) | −9.84993 | − | 9.84993i | −0.952229 | − | 0.952229i | 0.0466807 | − | 0.998910i | \(-0.485136\pi\) |
−0.998910 | + | 0.0466807i | \(0.985136\pi\) | |||||||
\(108\) | −4.94342 | + | 1.60081i | −0.475681 | + | 0.154038i | ||||
\(109\) | − | 15.5323i | − | 1.48772i | −0.668334 | − | 0.743861i | \(-0.732992\pi\) | ||
0.668334 | − | 0.743861i | \(-0.267008\pi\) | |||||||
\(110\) | 1.96865 | + | 2.37568i | 0.187704 | + | 0.226512i | ||||
\(111\) | −2.87698 | + | 1.96360i | −0.273070 | + | 0.186377i | ||||
\(112\) | −3.97033 | + | 0.347359i | −0.375161 | + | 0.0328223i | ||||
\(113\) | −6.50804 | − | 9.29445i | −0.612225 | − | 0.874348i | 0.386628 | − | 0.922236i | \(-0.373640\pi\) |
−0.998853 | + | 0.0478879i | \(0.984751\pi\) | |||||||
\(114\) | 1.74091 | − | 6.19949i | 0.163051 | − | 0.580635i | ||||
\(115\) | 1.09221 | − | 0.185665i | 0.101849 | − | 0.0173133i | ||||
\(116\) | 5.29922 | − | 3.05951i | 0.492020 | − | 0.284068i | ||||
\(117\) | 20.2386 | − | 4.90703i | 1.87105 | − | 0.453655i | ||||
\(118\) | −2.48861 | + | 0.666822i | −0.229095 | + | 0.0613859i | ||||
\(119\) | −2.78352 | − | 15.7861i | −0.255165 | − | 1.44711i | ||||
\(120\) | −0.603329 | − | 3.82570i | −0.0550761 | − | 0.349237i | ||||
\(121\) | −8.54755 | + | 3.11105i | −0.777050 | + | 0.282823i | ||||
\(122\) | 8.08726 | + | 3.77115i | 0.732186 | + | 0.341424i | ||||
\(123\) | 11.2510 | − | 9.21356i | 1.01447 | − | 0.830759i | ||||
\(124\) | 1.51818 | − | 0.267696i | 0.136336 | − | 0.0240398i | ||||
\(125\) | −10.8509 | + | 2.69389i | −0.970538 | + | 0.240949i | ||||
\(126\) | −6.22430 | + | 10.2086i | −0.554505 | + | 0.909456i | ||||
\(127\) | 14.0644 | + | 3.76854i | 1.24801 | + | 0.334404i | 0.821568 | − | 0.570110i | \(-0.193100\pi\) |
0.426444 | + | 0.904514i | \(0.359766\pi\) | |||||||
\(128\) | −0.0871557 | + | 0.996195i | −0.00770355 | + | 0.0880520i | ||||
\(129\) | 2.24335 | + | 0.629968i | 0.197516 | + | 0.0554656i | ||||
\(130\) | 1.25768 | + | 15.4710i | 0.110306 | + | 1.35689i | ||||
\(131\) | 13.5155 | − | 16.1071i | 1.18085 | − | 1.40728i | 0.287586 | − | 0.957755i | \(-0.407147\pi\) |
0.893266 | − | 0.449529i | \(-0.148408\pi\) | |||||||
\(132\) | −2.34847 | − | 0.443134i | −0.204408 | − | 0.0385699i | ||||
\(133\) | −6.26193 | − | 13.4288i | −0.542978 | − | 1.16442i | ||||
\(134\) | −4.20394 | −0.363165 | ||||||||
\(135\) | −10.3146 | − | 5.34868i | −0.887742 | − | 0.460341i | ||||
\(136\) | −4.02199 | −0.344883 | ||||||||
\(137\) | 0.0907604 | + | 0.194636i | 0.00775418 | + | 0.0166289i | 0.910147 | − | 0.414286i | \(-0.135969\pi\) |
−0.902393 | + | 0.430915i | \(0.858191\pi\) | |||||||
\(138\) | −0.559438 | + | 0.650739i | −0.0476225 | + | 0.0553945i | ||||
\(139\) | 5.37083 | − | 6.40070i | 0.455548 | − | 0.542901i | −0.488563 | − | 0.872528i | \(-0.662479\pi\) |
0.944111 | + | 0.329628i | \(0.106923\pi\) | |||||||
\(140\) | −6.79150 | − | 5.77031i | −0.573987 | − | 0.487681i | ||||
\(141\) | −3.43961 | − | 13.4799i | −0.289668 | − | 1.13522i | ||||
\(142\) | 1.10677 | − | 12.6504i | 0.0928780 | − | 1.06160i | ||||
\(143\) | 9.25182 | + | 2.47902i | 0.773676 | + | 0.207306i | ||||
\(144\) | 2.25133 | + | 1.98280i | 0.187611 | + | 0.165233i | ||||
\(145\) | 13.1943 | + | 3.62254i | 1.09572 | + | 0.300835i | ||||
\(146\) | 7.84208 | − | 1.38277i | 0.649015 | − | 0.114439i | ||||
\(147\) | 2.49057 | + | 15.1850i | 0.205419 | + | 1.25244i | ||||
\(148\) | 1.82261 | + | 0.849898i | 0.149818 | + | 0.0698612i | ||||
\(149\) | −6.83147 | + | 2.48645i | −0.559655 | + | 0.203698i | −0.606331 | − | 0.795212i | \(-0.707359\pi\) |
0.0466758 | + | 0.998910i | \(0.485137\pi\) | |||||||
\(150\) | 5.13800 | − | 6.97144i | 0.419516 | − | 0.569215i | ||||
\(151\) | 2.77651 | + | 15.7463i | 0.225949 | + | 1.28142i | 0.860863 | + | 0.508837i | \(0.169924\pi\) |
−0.634914 | + | 0.772583i | \(0.718965\pi\) | |||||||
\(152\) | −3.59105 | + | 0.962218i | −0.291272 | + | 0.0780462i | ||||
\(153\) | −7.15527 | + | 9.71543i | −0.578470 | + | 0.785446i | ||||
\(154\) | −4.76249 | + | 2.74963i | −0.383772 | + | 0.221571i | ||||
\(155\) | 2.81150 | + | 1.99452i | 0.225825 | + | 0.160204i | ||||
\(156\) | −8.39941 | − | 8.60286i | −0.672491 | − | 0.688780i | ||||
\(157\) | −7.89740 | − | 11.2787i | −0.630281 | − | 0.900135i | 0.369293 | − | 0.929313i | \(-0.379600\pi\) |
−0.999574 | + | 0.0291784i | \(0.990711\pi\) | |||||||
\(158\) | −3.79185 | + | 0.331744i | −0.301663 | + | 0.0263921i | ||||
\(159\) | −4.70808 | − | 2.26439i | −0.373375 | − | 0.179578i | ||||
\(160\) | −1.72174 | + | 1.42675i | −0.136115 | + | 0.112795i | ||||
\(161\) | 1.97464i | 0.155624i | ||||||||
\(162\) | 8.79482 | − | 1.91079i | 0.690986 | − | 0.150126i | ||||
\(163\) | 13.9177 | + | 13.9177i | 1.09012 | + | 1.09012i | 0.995515 | + | 0.0946021i | \(0.0301579\pi\) |
0.0946021 | + | 0.995515i | \(0.469842\pi\) | |||||||
\(164\) | −7.88959 | − | 2.87157i | −0.616073 | − | 0.224232i | ||||
\(165\) | −2.98539 | − | 4.43236i | −0.232412 | − | 0.345059i | ||||
\(166\) | −0.858116 | − | 0.720045i | −0.0666027 | − | 0.0558863i | ||||
\(167\) | −6.51381 | + | 4.56102i | −0.504053 | + | 0.352942i | −0.797781 | − | 0.602947i | \(-0.793993\pi\) |
0.293728 | + | 0.955889i | \(0.405104\pi\) | |||||||
\(168\) | 6.90259 | + | 0.0825947i | 0.532547 | + | 0.00637232i | ||||
\(169\) | 22.6174 | + | 26.9544i | 1.73980 | + | 2.07341i | ||||
\(170\) | −6.32008 | − | 6.39832i | −0.484728 | − | 0.490729i | ||||
\(171\) | −4.06430 | + | 10.3863i | −0.310805 | + | 0.794259i | ||||
\(172\) | −0.348189 | − | 1.29946i | −0.0265492 | − | 0.0990829i | ||||
\(173\) | −17.2309 | − | 12.0652i | −1.31004 | − | 0.917298i | −0.310590 | − | 0.950544i | \(-0.600527\pi\) |
−0.999447 | + | 0.0332458i | \(0.989416\pi\) | |||||||
\(174\) | −9.65835 | + | 4.36385i | −0.732198 | + | 0.330822i | ||||
\(175\) | −1.49242 | − | 19.8715i | −0.112816 | − | 1.50215i | ||||
\(176\) | 0.471924 | + | 1.29660i | 0.0355726 | + | 0.0977350i | ||||
\(177\) | 4.40362 | − | 0.722260i | 0.330996 | − | 0.0542884i | ||||
\(178\) | 4.51975 | − | 6.45487i | 0.338770 | − | 0.483813i | ||||
\(179\) | −5.88150 | + | 10.1870i | −0.439604 | + | 0.761416i | −0.997659 | − | 0.0683880i | \(-0.978214\pi\) |
0.558055 | + | 0.829804i | \(0.311548\pi\) | |||||||
\(180\) | 0.383394 | + | 6.69724i | 0.0285765 | + | 0.499183i | ||||
\(181\) | 5.53321 | + | 9.58380i | 0.411280 | + | 0.712358i | 0.995030 | − | 0.0995756i | \(-0.0317485\pi\) |
−0.583750 | + | 0.811933i | \(0.698415\pi\) | |||||||
\(182\) | −27.5606 | − | 2.41124i | −2.04293 | − | 0.178733i | ||||
\(183\) | −13.2915 | − | 7.88741i | −0.982539 | − | 0.583054i | ||||
\(184\) | 0.487929 | + | 0.0860351i | 0.0359706 | + | 0.00634259i | ||||
\(185\) | 1.51197 | + | 4.23499i | 0.111162 | + | 0.311363i | ||||
\(186\) | −2.66256 | + | 0.200874i | −0.195228 | + | 0.0147288i | ||||
\(187\) | −5.02965 | + | 2.34536i | −0.367804 | + | 0.171510i | ||||
\(188\) | −5.67949 | + | 5.67949i | −0.414220 | + | 0.414220i | ||||
\(189\) | 12.4795 | − | 16.5268i | 0.907750 | − | 1.20215i | ||||
\(190\) | −7.17364 | − | 4.20075i | −0.520430 | − | 0.304755i | ||||
\(191\) | 5.91305 | − | 16.2460i | 0.427853 | − | 1.17552i | −0.519260 | − | 0.854617i | \(-0.673792\pi\) |
0.947113 | − | 0.320901i | \(-0.103986\pi\) | |||||||
\(192\) | 0.321155 | − | 1.70202i | 0.0231774 | − | 0.122832i | ||||
\(193\) | 0.135785 | + | 1.55203i | 0.00977402 | + | 0.111718i | 0.999514 | − | 0.0311598i | \(-0.00992008\pi\) |
−0.989740 | + | 0.142877i | \(0.954365\pi\) | |||||||
\(194\) | 1.80672 | − | 10.2464i | 0.129715 | − | 0.735651i | ||||
\(195\) | 0.487049 | − | 26.8805i | 0.0348783 | − | 1.92495i | ||||
\(196\) | 6.80569 | − | 5.71065i | 0.486121 | − | 0.407904i | ||||
\(197\) | −1.53697 | + | 5.73604i | −0.109504 | + | 0.408676i | −0.998817 | − | 0.0486235i | \(-0.984517\pi\) |
0.889313 | + | 0.457299i | \(0.151183\pi\) | |||||||
\(198\) | 3.97162 | + | 1.16673i | 0.282250 | + | 0.0829162i | ||||
\(199\) | 1.77045 | + | 1.02217i | 0.125504 | + | 0.0724599i | 0.561438 | − | 0.827519i | \(-0.310248\pi\) |
−0.435934 | + | 0.899979i | \(0.643582\pi\) | |||||||
\(200\) | −4.97523 | − | 0.497029i | −0.351802 | − | 0.0351453i | ||||
\(201\) | 7.24561 | + | 0.721363i | 0.511066 | + | 0.0508810i | ||||
\(202\) | −5.79676 | + | 12.4312i | −0.407859 | + | 0.874656i | ||||
\(203\) | −10.3065 | + | 22.1024i | −0.723376 | + | 1.55129i | ||||
\(204\) | 6.93202 | + | 0.690142i | 0.485338 | + | 0.0483196i | ||||
\(205\) | −7.82935 | − | 17.0634i | −0.546825 | − | 1.19176i | ||||
\(206\) | 16.3572 | + | 9.44385i | 1.13966 | + | 0.657984i | ||||
\(207\) | 1.07587 | − | 1.02557i | 0.0747781 | − | 0.0712822i | ||||
\(208\) | −1.79663 | + | 6.70511i | −0.124574 | + | 0.464916i | ||||
\(209\) | −3.92963 | + | 3.29735i | −0.271818 | + | 0.228083i | ||||
\(210\) | 10.7152 | + | 11.1107i | 0.739420 | + | 0.766710i | ||||
\(211\) | −1.44626 | + | 8.20212i | −0.0995643 | + | 0.564657i | 0.893688 | + | 0.448688i | \(0.148109\pi\) |
−0.993253 | + | 0.115969i | \(0.963003\pi\) | |||||||
\(212\) | 0.262885 | + | 3.00478i | 0.0180550 | + | 0.206369i | ||||
\(213\) | −4.07827 | + | 21.6135i | −0.279438 | + | 1.48093i | ||||
\(214\) | 4.76431 | − | 13.0898i | 0.325682 | − | 0.894803i | ||||
\(215\) | 1.52009 | − | 2.59586i | 0.103669 | − | 0.177036i | ||||
\(216\) | −3.54001 | − | 3.80373i | −0.240867 | − | 0.258811i | ||||
\(217\) | −4.34449 | + | 4.34449i | −0.294923 | + | 0.294923i | ||||
\(218\) | 14.0770 | − | 6.56422i | 0.953416 | − | 0.444585i | ||||
\(219\) | −13.7533 | + | 1.03761i | −0.929364 | + | 0.0701149i | ||||
\(220\) | −1.32111 | + | 2.78821i | −0.0890690 | + | 0.187981i | ||||
\(221\) | −27.4951 | − | 4.84812i | −1.84952 | − | 0.326120i | ||||
\(222\) | −2.99549 | − | 1.77757i | −0.201044 | − | 0.119303i | ||||
\(223\) | −11.2247 | − | 0.982038i | −0.751664 | − | 0.0657621i | −0.295117 | − | 0.955461i | \(-0.595359\pi\) |
−0.456547 | + | 0.889699i | \(0.650914\pi\) | |||||||
\(224\) | −1.99275 | − | 3.45154i | −0.133146 | − | 0.230616i | ||||
\(225\) | −10.0517 | + | 11.1338i | −0.670117 | + | 0.742256i | ||||
\(226\) | 5.67321 | − | 9.82629i | 0.377376 | − | 0.653635i | ||||
\(227\) | −1.03065 | + | 1.47192i | −0.0684066 | + | 0.0976948i | −0.851898 | − | 0.523708i | \(-0.824548\pi\) |
0.783491 | + | 0.621403i | \(0.213437\pi\) | |||||||
\(228\) | 6.35439 | − | 1.04222i | 0.420830 | − | 0.0690224i | ||||
\(229\) | 3.83749 | + | 10.5434i | 0.253588 | + | 0.696728i | 0.999528 | + | 0.0307150i | \(0.00977844\pi\) |
−0.745940 | + | 0.666013i | \(0.767999\pi\) | |||||||
\(230\) | 0.629856 | + | 0.911410i | 0.0415315 | + | 0.0600966i | ||||
\(231\) | 8.68011 | − | 3.92185i | 0.571109 | − | 0.258039i | ||||
\(232\) | 5.01240 | + | 3.50972i | 0.329080 | + | 0.230424i | ||||
\(233\) | 2.08560 | + | 7.78355i | 0.136632 | + | 0.509917i | 0.999986 | + | 0.00531842i | \(0.00169291\pi\) |
−0.863354 | + | 0.504599i | \(0.831640\pi\) | |||||||
\(234\) | 13.0005 | + | 16.2686i | 0.849867 | + | 1.06351i | ||||
\(235\) | −17.9598 | − | 0.110488i | −1.17157 | − | 0.00720747i | ||||
\(236\) | −1.65608 | − | 1.97364i | −0.107802 | − | 0.128473i | ||||
\(237\) | 6.59229 | + | 0.0788818i | 0.428215 | + | 0.00512392i | ||||
\(238\) | 13.1307 | − | 9.19422i | 0.851137 | − | 0.595973i | ||||
\(239\) | 7.43783 | + | 6.24108i | 0.481113 | + | 0.403702i | 0.850829 | − | 0.525443i | \(-0.176100\pi\) |
−0.369715 | + | 0.929145i | \(0.620545\pi\) | |||||||
\(240\) | 3.21229 | − | 2.16361i | 0.207352 | − | 0.139661i | ||||
\(241\) | 6.66292 | + | 2.42510i | 0.429196 | + | 0.156215i | 0.547580 | − | 0.836753i | \(-0.315549\pi\) |
−0.118384 | + | 0.992968i | \(0.537771\pi\) | |||||||
\(242\) | −6.43192 | − | 6.43192i | −0.413460 | − | 0.413460i | ||||
\(243\) | −15.4860 | + | 1.78419i | −0.993428 | + | 0.114456i | ||||
\(244\) | 8.92331i | 0.571256i | ||||||||
\(245\) | 19.7791 | + | 1.85312i | 1.26364 | + | 0.118392i | ||||
\(246\) | 13.1052 | + | 6.30304i | 0.835557 | + | 0.401867i | ||||
\(247\) | −25.7089 | + | 2.24924i | −1.63582 | + | 0.143116i | ||||
\(248\) | 0.884224 | + | 1.26280i | 0.0561483 | + | 0.0801880i | ||||
\(249\) | 1.35543 | + | 1.38827i | 0.0858972 | + | 0.0879777i | ||||
\(250\) | −7.02730 | − | 8.69580i | −0.444446 | − | 0.549971i | ||||
\(251\) | 4.18510 | − | 2.41627i | 0.264161 | − | 0.152513i | −0.362070 | − | 0.932151i | \(-0.617930\pi\) |
0.626231 | + | 0.779637i | \(0.284597\pi\) | |||||||
\(252\) | −11.8827 | − | 1.32679i | −0.748537 | − | 0.0835797i | ||||
\(253\) | 0.660344 | − | 0.176939i | 0.0415155 | − | 0.0111240i | ||||
\(254\) | 2.52841 | + | 14.3393i | 0.158646 | + | 0.899728i | ||||
\(255\) | 9.79495 | + | 12.1122i | 0.613383 | + | 0.758494i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −4.31999 | − | 2.01444i | −0.269473 | − | 0.125657i | 0.283185 | − | 0.959065i | \(-0.408609\pi\) |
−0.552659 | + | 0.833408i | \(0.686387\pi\) | |||||||
\(258\) | 0.377137 | + | 2.29941i | 0.0234796 | + | 0.143155i | ||||
\(259\) | −7.89319 | + | 1.39178i | −0.490459 | + | 0.0864812i | ||||
\(260\) | −13.4899 | + | 7.67815i | −0.836610 | + | 0.476179i | ||||
\(261\) | 17.3953 | − | 5.86392i | 1.07674 | − | 0.362968i | ||||
\(262\) | 20.3099 | + | 5.44201i | 1.25475 | + | 0.336209i | ||||
\(263\) | 0.698450 | − | 7.98332i | 0.0430683 | − | 0.492273i | −0.943775 | − | 0.330590i | \(-0.892752\pi\) |
0.986843 | − | 0.161683i | \(-0.0516921\pi\) | |||||||
\(264\) | −0.590889 | − | 2.31571i | −0.0363667 | − | 0.142522i | ||||
\(265\) | −4.36703 | + | 5.13987i | −0.268264 | + | 0.315740i | ||||
\(266\) | 9.52418 | − | 11.3505i | 0.583965 | − | 0.695942i | ||||
\(267\) | −8.89753 | + | 10.3496i | −0.544520 | + | 0.633386i | ||||
\(268\) | −1.77666 | − | 3.81006i | −0.108527 | − | 0.232736i | ||||
\(269\) | −2.04232 | −0.124522 | −0.0622611 | − | 0.998060i | \(-0.519831\pi\) | ||||
−0.0622611 | + | 0.998060i | \(0.519831\pi\) | |||||||
\(270\) | 0.488403 | − | 11.6087i | 0.0297233 | − | 0.706482i | ||||
\(271\) | 20.6542 | 1.25465 | 0.627326 | − | 0.778757i | \(-0.284149\pi\) | ||||
0.627326 | + | 0.778757i | \(0.284149\pi\) | |||||||
\(272\) | −1.69977 | − | 3.64516i | −0.103063 | − | 0.221020i | ||||
\(273\) | 47.0878 | + | 8.88505i | 2.84989 | + | 0.537747i | ||||
\(274\) | −0.138043 | + | 0.164514i | −0.00833951 | + | 0.00993864i | ||||
\(275\) | −6.51155 | + | 2.27968i | −0.392661 | + | 0.137470i | ||||
\(276\) | −0.826198 | − | 0.232009i | −0.0497313 | − | 0.0139653i | ||||
\(277\) | −1.57950 | + | 18.0538i | −0.0949032 | + | 1.08475i | 0.788152 | + | 0.615480i | \(0.211038\pi\) |
−0.883056 | + | 0.469268i | \(0.844518\pi\) | |||||||
\(278\) | 8.07082 | + | 2.16257i | 0.484055 | + | 0.129702i | ||||
\(279\) | 4.62347 | + | 0.110662i | 0.276800 | + | 0.00662519i | ||||
\(280\) | 2.35947 | − | 8.59383i | 0.141005 | − | 0.513580i | ||||
\(281\) | 18.1038 | − | 3.19219i | 1.07998 | − | 0.190430i | 0.394776 | − | 0.918778i | \(-0.370822\pi\) |
0.685208 | + | 0.728347i | \(0.259711\pi\) | |||||||
\(282\) | 10.7633 | − | 8.81422i | 0.640947 | − | 0.524879i | ||||
\(283\) | 22.8469 | + | 10.6537i | 1.35811 | + | 0.633295i | 0.958947 | − | 0.283586i | \(-0.0915242\pi\) |
0.399159 | + | 0.916882i | \(0.369302\pi\) | |||||||
\(284\) | 11.9329 | − | 4.34323i | 0.708089 | − | 0.257723i | ||||
\(285\) | 11.6432 | + | 8.47107i | 0.689681 | + | 0.501783i | ||||
\(286\) | 1.66323 | + | 9.43267i | 0.0983491 | + | 0.557766i | ||||
\(287\) | 32.3217 | − | 8.66059i | 1.90789 | − | 0.511218i | ||||
\(288\) | −0.845573 | + | 2.87837i | −0.0498259 | + | 0.169609i | ||||
\(289\) | −0.713261 | + | 0.411802i | −0.0419566 | + | 0.0242236i | ||||
\(290\) | 2.29301 | + | 13.4890i | 0.134650 | + | 0.792103i | ||||
\(291\) | −4.87215 | + | 17.3500i | −0.285610 | + | 1.01708i | ||||
\(292\) | 4.56742 | + | 6.52295i | 0.267288 | + | 0.381727i | ||||
\(293\) | −12.5077 | + | 1.09429i | −0.730711 | + | 0.0639289i | −0.446438 | − | 0.894815i | \(-0.647308\pi\) |
−0.284273 | + | 0.958743i | \(0.591752\pi\) | |||||||
\(294\) | −12.7097 | + | 8.67468i | −0.741246 | + | 0.505917i | ||||
\(295\) | 0.537402 | − | 5.73589i | 0.0312887 | − | 0.333956i | ||||
\(296\) | 2.01103i | 0.116889i | ||||||||
\(297\) | −6.64500 | − | 2.69240i | −0.385582 | − | 0.156229i | ||||
\(298\) | −5.14059 | − | 5.14059i | −0.297786 | − | 0.297786i | ||||
\(299\) | 3.23187 | + | 1.17630i | 0.186904 | + | 0.0680274i | ||||
\(300\) | 8.48968 | + | 1.71036i | 0.490152 | + | 0.0987475i | ||||
\(301\) | 4.10730 | + | 3.44643i | 0.236741 | + | 0.198649i | ||||
\(302\) | −13.0976 | + | 9.17106i | −0.753684 | + | 0.527735i | ||||
\(303\) | 12.1240 | − | 20.4309i | 0.696505 | − | 1.17372i | ||||
\(304\) | −2.38971 | − | 2.84794i | −0.137059 | − | 0.163341i | ||||
\(305\) | −14.1955 | + | 14.0219i | −0.812833 | + | 0.802893i | ||||
\(306\) | −11.8291 | − | 2.37896i | −0.676226 | − | 0.135996i | ||||
\(307\) | −0.631788 | − | 2.35787i | −0.0360581 | − | 0.134571i | 0.945550 | − | 0.325476i | \(-0.105524\pi\) |
−0.981609 | + | 0.190905i | \(0.938858\pi\) | |||||||
\(308\) | −4.50472 | − | 3.15424i | −0.256680 | − | 0.179730i | ||||
\(309\) | −26.5717 | − | 19.0835i | −1.51161 | − | 1.08562i | ||||
\(310\) | −0.619458 | + | 3.39100i | −0.0351829 | + | 0.192596i | ||||
\(311\) | −0.679124 | − | 1.86588i | −0.0385096 | − | 0.105804i | 0.918948 | − | 0.394380i | \(-0.129041\pi\) |
−0.957457 | + | 0.288576i | \(0.906818\pi\) | |||||||
\(312\) | 4.24709 | − | 11.2482i | 0.240444 | − | 0.636803i | ||||
\(313\) | −10.5165 | + | 15.0191i | −0.594429 | + | 0.848932i | −0.997813 | − | 0.0660983i | \(-0.978945\pi\) |
0.403384 | + | 0.915031i | \(0.367834\pi\) | |||||||
\(314\) | 6.88435 | − | 11.9240i | 0.388506 | − | 0.672912i | ||||
\(315\) | −16.5615 | − | 20.9882i | −0.933134 | − | 1.18255i | ||||
\(316\) | −1.90317 | − | 3.29638i | −0.107062 | − | 0.185436i | ||||
\(317\) | 2.27739 | + | 0.199246i | 0.127911 | + | 0.0111907i | 0.150931 | − | 0.988544i | \(-0.451773\pi\) |
−0.0230205 | + | 0.999735i | \(0.507328\pi\) | |||||||
\(318\) | 0.0625084 | − | 5.22394i | 0.00350530 | − | 0.292944i | ||||
\(319\) | 8.31483 | + | 1.46613i | 0.465541 | + | 0.0820875i | ||||
\(320\) | −2.02071 | − | 0.957452i | −0.112961 | − | 0.0535232i | ||||
\(321\) | −10.4575 | + | 21.7432i | −0.583683 | + | 1.21359i | ||||
\(322\) | −1.78963 | + | 0.834520i | −0.0997323 | + | 0.0465060i | ||||
\(323\) | 10.5731 | − | 10.5731i | 0.588304 | − | 0.588304i | ||||
\(324\) | 5.44862 | + | 7.16328i | 0.302701 | + | 0.397960i | ||||
\(325\) | −33.4125 | − | 9.39495i | −1.85339 | − | 0.521138i | ||||
\(326\) | −6.73184 | + | 18.4956i | −0.372842 | + | 1.02438i | ||||
\(327\) | −25.3885 | + | 8.89813i | −1.40399 | + | 0.492068i | ||||
\(328\) | −0.731753 | − | 8.36397i | −0.0404043 | − | 0.461823i | ||||
\(329\) | 5.55875 | − | 31.5253i | 0.306464 | − | 1.73804i | ||||
\(330\) | 2.75540 | − | 4.57887i | 0.151680 | − | 0.252059i | ||||
\(331\) | −3.07159 | + | 2.57737i | −0.168830 | + | 0.141665i | −0.723288 | − | 0.690547i | \(-0.757370\pi\) |
0.554458 | + | 0.832212i | \(0.312926\pi\) | |||||||
\(332\) | 0.289927 | − | 1.08202i | 0.0159118 | − | 0.0593836i | ||||
\(333\) | 4.85780 | + | 3.57770i | 0.266206 | + | 0.196057i | ||||
\(334\) | −6.88654 | − | 3.97594i | −0.376815 | − | 0.217554i | ||||
\(335\) | 3.26937 | − | 8.81343i | 0.178625 | − | 0.481529i | ||||
\(336\) | 2.84231 | + | 6.29078i | 0.155060 | + | 0.343190i | ||||
\(337\) | 10.3495 | − | 22.1947i | 0.563775 | − | 1.20902i | −0.393361 | − | 0.919384i | \(-0.628688\pi\) |
0.957137 | − | 0.289636i | \(-0.0935343\pi\) | |||||||
\(338\) | −14.8704 | + | 31.8897i | −0.808845 | + | 1.73457i | ||||
\(339\) | −11.4641 | + | 15.9624i | −0.622643 | + | 0.866960i | ||||
\(340\) | 3.12787 | − | 8.43199i | 0.169633 | − | 0.457289i | ||||
\(341\) | 1.84214 | + | 1.06356i | 0.0997574 | + | 0.0575950i | ||||
\(342\) | −11.1308 | + | 0.705926i | −0.601885 | + | 0.0381721i | ||||
\(343\) | −1.94359 | + | 7.25359i | −0.104944 | + | 0.391657i | ||||
\(344\) | 1.03056 | − | 0.864743i | 0.0555641 | − | 0.0466238i | ||||
\(345\) | −0.929185 | − | 1.67892i | −0.0500256 | − | 0.0903900i | ||||
\(346\) | 3.65269 | − | 20.7154i | 0.196370 | − | 1.11367i | ||||
\(347\) | −0.127861 | − | 1.46146i | −0.00686396 | − | 0.0784554i | 0.991990 | − | 0.126316i | \(-0.0403153\pi\) |
−0.998854 | + | 0.0478605i | \(0.984760\pi\) | |||||||
\(348\) | −8.03678 | − | 6.90920i | −0.430817 | − | 0.370372i | ||||
\(349\) | 1.32197 | − | 3.63209i | 0.0707637 | − | 0.194422i | −0.899269 | − | 0.437396i | \(-0.855901\pi\) |
0.970033 | + | 0.242974i | \(0.0781231\pi\) | |||||||
\(350\) | 17.3790 | − | 9.75066i | 0.928946 | − | 0.521195i | ||||
\(351\) | −19.6151 | − | 30.2701i | −1.04698 | − | 1.61570i | ||||
\(352\) | −0.975676 | + | 0.975676i | −0.0520037 | + | 0.0520037i | ||||
\(353\) | 1.52716 | − | 0.712125i | 0.0812824 | − | 0.0379026i | −0.381552 | − | 0.924347i | \(-0.624610\pi\) |
0.462834 | + | 0.886445i | \(0.346832\pi\) | |||||||
\(354\) | 2.51564 | + | 3.68579i | 0.133705 | + | 0.195898i | ||||
\(355\) | 25.6606 | + | 12.1585i | 1.36192 | + | 0.645304i | ||||
\(356\) | 7.76023 | + | 1.36834i | 0.411291 | + | 0.0725217i | ||||
\(357\) | −24.2088 | + | 13.5934i | −1.28127 | + | 0.719438i | ||||
\(358\) | −11.7182 | − | 1.02521i | −0.619328 | − | 0.0541842i | ||||
\(359\) | −1.44240 | − | 2.49831i | −0.0761271 | − | 0.131856i | 0.825449 | − | 0.564477i | \(-0.190922\pi\) |
−0.901576 | + | 0.432621i | \(0.857589\pi\) | |||||||
\(360\) | −5.90773 | + | 3.17785i | −0.311365 | + | 0.167487i | ||||
\(361\) | −2.58926 | + | 4.48473i | −0.136277 | + | 0.236038i | ||||
\(362\) | −6.34743 | + | 9.06508i | −0.333614 | + | 0.476450i | ||||
\(363\) | 9.98194 | + | 12.1893i | 0.523916 | + | 0.639771i | ||||
\(364\) | −9.46230 | − | 25.9975i | −0.495959 | − | 1.36264i | ||||
\(365\) | −3.19979 | + | 17.5161i | −0.167484 | + | 0.916833i | ||||
\(366\) | 1.53117 | − | 15.3796i | 0.0800356 | − | 0.803904i | ||||
\(367\) | 19.5523 | + | 13.6907i | 1.02062 | + | 0.714647i | 0.958987 | − | 0.283452i | \(-0.0914796\pi\) |
0.0616352 | + | 0.998099i | \(0.480368\pi\) | |||||||
\(368\) | 0.128234 | + | 0.478574i | 0.00668464 | + | 0.0249474i | ||||
\(369\) | −21.5057 | − | 13.1122i | −1.11954 | − | 0.682595i | ||||
\(370\) | −3.19922 | + | 3.16010i | −0.166319 | + | 0.164286i | ||||
\(371\) | −7.72715 | − | 9.20885i | −0.401173 | − | 0.478100i | ||||
\(372\) | −1.30730 | − | 2.32820i | −0.0677803 | − | 0.120712i | ||||
\(373\) | −19.7533 | + | 13.8314i | −1.02279 | + | 0.716162i | −0.959464 | − | 0.281831i | \(-0.909058\pi\) |
−0.0633211 | + | 0.997993i | \(0.520169\pi\) | |||||||
\(374\) | −4.25124 | − | 3.56721i | −0.219826 | − | 0.184456i | ||||
\(375\) | 10.6196 | + | 16.1933i | 0.548396 | + | 0.836219i | ||||
\(376\) | −7.54763 | − | 2.74711i | −0.389239 | − | 0.141671i | ||||
\(377\) | 30.0351 | + | 30.0351i | 1.54689 | + | 1.54689i | ||||
\(378\) | 20.2524 | + | 4.32573i | 1.04167 | + | 0.222491i | ||||
\(379\) | − | 26.5732i | − | 1.36497i | −0.730898 | − | 0.682487i | \(-0.760899\pi\) | ||
0.730898 | − | 0.682487i | \(-0.239101\pi\) | |||||||
\(380\) | 0.775466 | − | 8.27684i | 0.0397806 | − | 0.424593i | ||||
\(381\) | −1.89727 | − | 25.1481i | −0.0972001 | − | 1.28838i | ||||
\(382\) | 17.2228 | − | 1.50680i | 0.881196 | − | 0.0770946i | ||||
\(383\) | −10.6186 | − | 15.1649i | −0.542585 | − | 0.774892i | 0.450438 | − | 0.892808i | \(-0.351268\pi\) |
−0.993024 | + | 0.117915i | \(0.962379\pi\) | |||||||
\(384\) | 1.67828 | − | 0.428238i | 0.0856442 | − | 0.0218534i | ||||
\(385\) | −2.06076 | − | 12.1228i | −0.105026 | − | 0.617835i | ||||
\(386\) | −1.34923 | + | 0.778980i | −0.0686741 | + | 0.0396490i | ||||
\(387\) | −0.255447 | − | 4.02781i | −0.0129851 | − | 0.204745i | ||||
\(388\) | 10.0500 | − | 2.69288i | 0.510210 | − | 0.136710i | ||||
\(389\) | 1.17271 | + | 6.65076i | 0.0594586 | + | 0.337207i | 0.999997 | − | 0.00248101i | \(-0.000789730\pi\) |
−0.940538 | + | 0.339688i | \(0.889679\pi\) | |||||||
\(390\) | 24.5678 | − | 10.9188i | 1.24404 | − | 0.552893i | ||||
\(391\) | −1.87255 | + | 0.681551i | −0.0946987 | + | 0.0344675i | ||||
\(392\) | 8.05182 | + | 3.75462i | 0.406678 | + | 0.189637i | ||||
\(393\) | −34.0709 | − | 12.8645i | −1.71865 | − | 0.648928i | ||||
\(394\) | −5.84817 | + | 1.03119i | −0.294626 | + | 0.0519506i | ||||
\(395\) | 2.25340 | − | 8.20750i | 0.113381 | − | 0.412964i | ||||
\(396\) | 0.621057 | + | 4.09259i | 0.0312093 | + | 0.205660i | ||||
\(397\) | −20.9576 | − | 5.61558i | −1.05183 | − | 0.281838i | −0.308824 | − | 0.951119i | \(-0.599935\pi\) |
−0.743009 | + | 0.669281i | \(0.766602\pi\) | |||||||
\(398\) | −0.178176 | + | 2.03657i | −0.00893118 | + | 0.102084i | ||||
\(399\) | −18.3629 | + | 17.9286i | −0.919293 | + | 0.897553i | ||||
\(400\) | −1.65216 | − | 4.71915i | −0.0826082 | − | 0.235957i | ||||
\(401\) | 12.7195 | − | 15.1585i | 0.635183 | − | 0.756982i | −0.348418 | − | 0.937339i | \(-0.613281\pi\) |
0.983601 | + | 0.180358i | \(0.0577255\pi\) | |||||||
\(402\) | 2.40835 | + | 6.87161i | 0.120118 | + | 0.342725i | ||||
\(403\) | 4.52253 | + | 9.69860i | 0.225283 | + | 0.483122i | ||||
\(404\) | −13.7163 | −0.682412 | ||||||||
\(405\) | −2.83374 | + | 19.9241i | −0.140810 | + | 0.990037i | ||||
\(406\) | −24.3873 | −1.21032 | ||||||||
\(407\) | 1.17270 | + | 2.51487i | 0.0581287 | + | 0.124657i | ||||
\(408\) | 2.30412 | + | 6.57421i | 0.114071 | + | 0.325472i | ||||
\(409\) | 10.1988 | − | 12.1545i | 0.504300 | − | 0.601002i | −0.452494 | − | 0.891767i | \(-0.649466\pi\) |
0.956794 | + | 0.290766i | \(0.0939101\pi\) | |||||||
\(410\) | 12.1558 | − | 14.3071i | 0.600334 | − | 0.706577i | ||||
\(411\) | 0.266151 | − | 0.259857i | 0.0131283 | − | 0.0128178i | ||||
\(412\) | −1.64617 | + | 18.8158i | −0.0811011 | + | 0.926990i | ||||
\(413\) | 9.91836 | + | 2.65762i | 0.488051 | + | 0.130773i | ||||
\(414\) | 1.38417 | + | 0.541644i | 0.0680281 | + | 0.0266203i | ||||
\(415\) | 2.17690 | − | 1.23904i | 0.106860 | − | 0.0608222i | ||||
\(416\) | −6.83619 | + | 1.20540i | −0.335172 | + | 0.0590998i | ||||
\(417\) | −13.5392 | − | 5.11214i | −0.663018 | − | 0.250343i | ||||
\(418\) | −4.64915 | − | 2.16794i | −0.227397 | − | 0.106037i | ||||
\(419\) | 29.3155 | − | 10.6700i | 1.43216 | − | 0.521262i | 0.494607 | − | 0.869117i | \(-0.335312\pi\) |
0.937548 | + | 0.347855i | \(0.113090\pi\) | |||||||
\(420\) | −5.54125 | + | 14.4069i | −0.270385 | + | 0.702983i | ||||
\(421\) | −5.28257 | − | 29.9590i | −0.257457 | − | 1.46011i | −0.789687 | − | 0.613511i | \(-0.789757\pi\) |
0.532230 | − | 0.846600i | \(-0.321354\pi\) | |||||||
\(422\) | −8.04486 | + | 2.15561i | −0.391618 | + | 0.104934i | ||||
\(423\) | −20.0634 | + | 13.3447i | −0.975515 | + | 0.648840i | ||||
\(424\) | −2.61216 | + | 1.50813i | −0.126858 | + | 0.0732413i | ||||
\(425\) | 18.3290 | − | 8.27395i | 0.889086 | − | 0.401345i | ||||
\(426\) | −21.3120 | + | 5.43809i | −1.03257 | + | 0.263476i | ||||
\(427\) | −20.3986 | − | 29.1322i | −0.987156 | − | 1.40981i | ||||
\(428\) | 13.8769 | − | 1.21407i | 0.670765 | − | 0.0586844i | ||||
\(429\) | −1.24806 | − | 16.5429i | −0.0602569 | − | 0.798698i | ||||
\(430\) | 2.99507 | + | 0.280611i | 0.144435 | + | 0.0135323i | ||||
\(431\) | 31.2636i | 1.50592i | 0.658069 | + | 0.752958i | \(0.271373\pi\) | ||||
−0.658069 | + | 0.752958i | \(0.728627\pi\) | |||||||
\(432\) | 1.95128 | − | 4.81586i | 0.0938808 | − | 0.231703i | ||||
\(433\) | 13.7999 | + | 13.7999i | 0.663181 | + | 0.663181i | 0.956129 | − | 0.292948i | \(-0.0946361\pi\) |
−0.292948 | + | 0.956129i | \(0.594636\pi\) | |||||||
\(434\) | −5.77350 | − | 2.10138i | −0.277137 | − | 0.100870i | ||||
\(435\) | −1.63745 | − | 23.6422i | −0.0785099 | − | 1.13356i | ||||
\(436\) | 11.8984 | + | 9.98396i | 0.569831 | + | 0.478145i | ||||
\(437\) | −1.50885 | + | 1.05651i | −0.0721783 | + | 0.0505398i | ||||
\(438\) | −6.75280 | − | 12.0262i | −0.322661 | − | 0.574636i | ||||
\(439\) | 4.44322 | + | 5.29522i | 0.212063 | + | 0.252727i | 0.861582 | − | 0.507618i | \(-0.169474\pi\) |
−0.649519 | + | 0.760346i | \(0.725030\pi\) | |||||||
\(440\) | −3.08530 | − | 0.0189807i | −0.147086 | − | 0.000904871i | ||||
\(441\) | 23.3941 | − | 12.7702i | 1.11400 | − | 0.608104i | ||||
\(442\) | −7.22603 | − | 26.9679i | −0.343707 | − | 1.28273i | ||||
\(443\) | 1.21988 | + | 0.854169i | 0.0579583 | + | 0.0405828i | 0.602197 | − | 0.798348i | \(-0.294292\pi\) |
−0.544238 | + | 0.838931i | \(0.683181\pi\) | |||||||
\(444\) | 0.345077 | − | 3.46607i | 0.0163766 | − | 0.164492i | ||||
\(445\) | 10.0175 | + | 14.4954i | 0.474874 | + | 0.687149i | ||||
\(446\) | −3.85375 | − | 10.5881i | −0.182480 | − | 0.501361i | ||||
\(447\) | 7.97788 | + | 9.74205i | 0.377341 | + | 0.460783i | ||||
\(448\) | 2.28599 | − | 3.26473i | 0.108003 | − | 0.154244i | ||||
\(449\) | −12.5295 | + | 21.7017i | −0.591304 | + | 1.02417i | 0.402754 | + | 0.915308i | \(0.368053\pi\) |
−0.994057 | + | 0.108859i | \(0.965280\pi\) | |||||||
\(450\) | −14.3387 | − | 4.40462i | −0.675935 | − | 0.207636i | ||||
\(451\) | −5.79241 | − | 10.0327i | −0.272754 | − | 0.472424i | ||||
\(452\) | 11.3032 | + | 0.988906i | 0.531660 | + | 0.0465142i | ||||
\(453\) | 24.1478 | − | 13.5591i | 1.13456 | − | 0.637064i | ||||
\(454\) | −1.76958 | − | 0.312025i | −0.0830507 | − | 0.0146441i | ||||
\(455\) | 26.4888 | − | 55.9049i | 1.24181 | − | 2.62086i | ||||
\(456\) | 3.63005 | + | 5.31857i | 0.169993 | + | 0.249065i | ||||
\(457\) | −24.5331 | + | 11.4400i | −1.14761 | + | 0.535139i | −0.900933 | − | 0.433958i | \(-0.857117\pi\) |
−0.246677 | + | 0.969098i | \(0.579339\pi\) | |||||||
\(458\) | −7.93379 | + | 7.93379i | −0.370721 | + | 0.370721i | ||||
\(459\) | 19.9796 | + | 6.13000i | 0.932569 | + | 0.286124i | ||||
\(460\) | −0.559829 | + | 0.956022i | −0.0261022 | + | 0.0445747i | ||||
\(461\) | −3.95298 | + | 10.8607i | −0.184109 | + | 0.505835i | −0.997071 | − | 0.0764818i | \(-0.975631\pi\) |
0.812962 | + | 0.582316i | \(0.197854\pi\) | |||||||
\(462\) | 7.22278 | + | 6.20940i | 0.336034 | + | 0.288888i | ||||
\(463\) | −0.819693 | − | 9.36914i | −0.0380944 | − | 0.435421i | −0.991161 | − | 0.132661i | \(-0.957648\pi\) |
0.953067 | − | 0.302759i | \(-0.0979078\pi\) | |||||||
\(464\) | −1.06256 | + | 6.02605i | −0.0493279 | + | 0.279752i | ||||
\(465\) | 1.64952 | − | 5.73820i | 0.0764949 | − | 0.266103i | ||||
\(466\) | −6.17288 | + | 5.17966i | −0.285953 | + | 0.239943i | ||||
\(467\) | 2.20035 | − | 8.21181i | 0.101820 | − | 0.379997i | −0.896145 | − | 0.443761i | \(-0.853644\pi\) |
0.997965 | + | 0.0637641i | \(0.0203105\pi\) | |||||||
\(468\) | −9.25009 | + | 18.6578i | −0.427586 | + | 0.862457i | ||||
\(469\) | 14.5101 | + | 8.37739i | 0.670012 | + | 0.386832i | ||||
\(470\) | −7.49000 | − | 16.3238i | −0.345488 | − | 0.752961i | ||||
\(471\) | −13.9115 | + | 19.3701i | −0.641006 | + | 0.892529i | ||||
\(472\) | 1.08883 | − | 2.33501i | 0.0501177 | − | 0.107478i | ||||
\(473\) | 0.784492 | − | 1.68235i | 0.0360710 | − | 0.0773544i | ||||
\(474\) | 2.71453 | + | 6.00798i | 0.124683 | + | 0.275956i | ||||
\(475\) | 14.3856 | − | 11.7724i | 0.660059 | − | 0.540156i | ||||
\(476\) | 13.8821 | + | 8.01482i | 0.636284 | + | 0.367358i | ||||
\(477\) | −1.00412 | + | 8.99290i | −0.0459757 | + | 0.411757i | ||||
\(478\) | −2.51298 | + | 9.37856i | −0.114941 | + | 0.428965i | ||||
\(479\) | −13.1222 | + | 11.0108i | −0.599566 | + | 0.503096i | −0.891306 | − | 0.453402i | \(-0.850210\pi\) |
0.291740 | + | 0.956498i | \(0.405766\pi\) | |||||||
\(480\) | 3.31847 | + | 1.99694i | 0.151467 | + | 0.0911473i | ||||
\(481\) | −2.42410 | + | 13.7478i | −0.110530 | + | 0.626845i | ||||
\(482\) | 0.617981 | + | 7.06355i | 0.0281482 | + | 0.321736i | ||||
\(483\) | 3.22768 | − | 1.13123i | 0.146865 | − | 0.0514729i | ||||
\(484\) | 3.11105 | − | 8.54755i | 0.141412 | − | 0.388525i | ||||
\(485\) | 20.0763 | + | 11.7563i | 0.911617 | + | 0.533827i | ||||
\(486\) | −8.16170 | − | 13.2811i | −0.370222 | − | 0.602441i | ||||
\(487\) | 24.7608 | − | 24.7608i | 1.12202 | − | 1.12202i | 0.130583 | − | 0.991437i | \(-0.458315\pi\) |
0.991437 | − | 0.130583i | \(-0.0416847\pi\) | |||||||
\(488\) | −8.08726 | + | 3.77115i | −0.366093 | + | 0.170712i | ||||
\(489\) | 14.7762 | − | 30.7225i | 0.668204 | − | 1.38932i | ||||
\(490\) | 6.67949 | + | 18.7091i | 0.301749 | + | 0.845190i | ||||
\(491\) | 24.8545 | + | 4.38251i | 1.12167 | + | 0.197780i | 0.703572 | − | 0.710624i | \(-0.251587\pi\) |
0.418094 | + | 0.908404i | \(0.362698\pi\) | |||||||
\(492\) | −0.173996 | + | 14.5411i | −0.00784432 | + | 0.655564i | ||||
\(493\) | −24.5169 | − | 2.14496i | −1.10419 | − | 0.0966039i | ||||
\(494\) | −12.9036 | − | 22.3496i | −0.580559 | − | 1.00556i | ||||
\(495\) | −5.53472 | + | 7.41902i | −0.248767 | + | 0.333460i | ||||
\(496\) | −0.770799 | + | 1.33506i | −0.0346099 | + | 0.0599461i | ||||
\(497\) | −29.0292 | + | 41.4580i | −1.30214 | + | 1.85965i | ||||
\(498\) | −0.685364 | + | 1.81515i | −0.0307119 | + | 0.0813387i | ||||
\(499\) | −5.42986 | − | 14.9184i | −0.243074 | − | 0.667840i | −0.999899 | − | 0.0142224i | \(-0.995473\pi\) |
0.756825 | − | 0.653618i | \(-0.226750\pi\) | |||||||
\(500\) | 4.91121 | − | 10.0439i | 0.219636 | − | 0.449177i | ||||
\(501\) | 11.1869 | + | 8.03434i | 0.499794 | + | 0.358948i | ||||
\(502\) | 3.95858 | + | 2.77183i | 0.176680 | + | 0.123713i | ||||
\(503\) | −3.89277 | − | 14.5280i | −0.173570 | − | 0.647771i | −0.996791 | − | 0.0800503i | \(-0.974492\pi\) |
0.823221 | − | 0.567721i | \(-0.192175\pi\) | |||||||
\(504\) | −3.81935 | − | 11.3301i | −0.170127 | − | 0.504681i | ||||
\(505\) | −21.5536 | − | 21.8204i | −0.959120 | − | 0.970995i | ||||
\(506\) | 0.439434 | + | 0.523697i | 0.0195352 | + | 0.0232812i | ||||
\(507\) | 31.1017 | − | 52.4113i | 1.38127 | − | 2.32767i | ||||
\(508\) | −11.9273 | + | 8.35157i | −0.529187 | + | 0.370541i | ||||
\(509\) | 33.2789 | + | 27.9243i | 1.47506 | + | 1.23772i | 0.911274 | + | 0.411801i | \(0.135100\pi\) |
0.563786 | + | 0.825921i | \(0.309344\pi\) | |||||||
\(510\) | −6.83784 | + | 13.9961i | −0.302785 | + | 0.619756i | ||||
\(511\) | −29.8228 | − | 10.8546i | −1.31928 | − | 0.480180i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 19.3054 | + | 0.693277i | 0.852355 | + | 0.0306089i | ||||
\(514\) | − | 4.76658i | − | 0.210245i | ||||||
\(515\) | −32.5197 | + | 26.9481i | −1.43299 | + | 1.18747i | ||||
\(516\) | −1.92458 | + | 1.31357i | −0.0847251 | + | 0.0578269i | ||||
\(517\) | −11.0405 | + | 0.965921i | −0.485562 | + | 0.0424811i | ||||
\(518\) | −4.59719 | − | 6.56547i | −0.201989 | − | 0.288470i | ||||
\(519\) | −9.85012 | + | 35.0769i | −0.432372 | + | 1.53970i | ||||
\(520\) | −12.6599 | − | 8.98110i | −0.555172 | − | 0.393847i | ||||
\(521\) | 5.78678 | − | 3.34100i | 0.253523 | − | 0.146372i | −0.367853 | − | 0.929884i | \(-0.619907\pi\) |
0.621376 | + | 0.783512i | \(0.286574\pi\) | |||||||
\(522\) | 12.6661 | + | 13.2873i | 0.554379 | + | 0.581568i | ||||
\(523\) | 3.75281 | − | 1.00556i | 0.164099 | − | 0.0439702i | −0.175834 | − | 0.984420i | \(-0.556262\pi\) |
0.339933 | + | 0.940450i | \(0.389596\pi\) | |||||||
\(524\) | 3.65118 | + | 20.7069i | 0.159503 | + | 0.904585i | ||||
\(525\) | −31.6264 | + | 13.8235i | −1.38029 | + | 0.603305i | ||||
\(526\) | 7.53052 | − | 2.74089i | 0.328346 | − | 0.119508i | ||||
\(527\) | −5.61937 | − | 2.62035i | −0.244784 | − | 0.114144i | ||||
\(528\) | 1.84903 | − | 1.51419i | 0.0804685 | − | 0.0658966i | ||||
\(529\) | −22.4088 | + | 3.95128i | −0.974297 | + | 0.171795i | ||||
\(530\) | −6.50389 | − | 1.78567i | −0.282511 | − | 0.0775644i | ||||
\(531\) | −3.70333 | − | 6.78424i | −0.160711 | − | 0.294411i | ||||
\(532\) | 14.3121 | + | 3.83492i | 0.620509 | + | 0.166265i | ||||
\(533\) | 5.07957 | − | 58.0597i | 0.220021 | − | 2.51485i | ||||
\(534\) | −13.1402 | − | 3.68997i | −0.568632 | − | 0.159680i | ||||
\(535\) | 23.7373 | + | 20.1681i | 1.02625 | + | 0.871943i | ||||
\(536\) | 2.70224 | − | 3.22040i | 0.116719 | − | 0.139100i | ||||
\(537\) | 20.0208 | + | 3.77774i | 0.863961 | + | 0.163022i | ||||
\(538\) | −0.863121 | − | 1.85097i | −0.0372118 | − | 0.0798009i | ||||
\(539\) | 12.2585 | 0.528013 | ||||||||
\(540\) | 10.7274 | − | 4.46340i | 0.461636 | − | 0.192074i | ||||
\(541\) | 20.8588 | 0.896788 | 0.448394 | − | 0.893836i | \(-0.351996\pi\) | ||||
0.448394 | + | 0.893836i | \(0.351996\pi\) | |||||||
\(542\) | 8.72883 | + | 18.7190i | 0.374935 | + | 0.804051i | ||||
\(543\) | 12.4955 | − | 14.5348i | 0.536233 | − | 0.623746i | ||||
\(544\) | 2.58528 | − | 3.08102i | 0.110843 | − | 0.132098i | ||||
\(545\) | 2.81412 | + | 34.6170i | 0.120544 | + | 1.48283i | ||||
\(546\) | 11.8476 | + | 46.4311i | 0.507030 | + | 1.98707i | ||||
\(547\) | 2.61574 | − | 29.8981i | 0.111841 | − | 1.27835i | −0.708186 | − | 0.706026i | \(-0.750486\pi\) |
0.820027 | − | 0.572324i | \(-0.193958\pi\) | |||||||
\(548\) | −0.207440 | − | 0.0555833i | −0.00886139 | − | 0.00237440i | ||||
\(549\) | −5.27804 | + | 26.2444i | −0.225261 | + | 1.12009i | ||||
\(550\) | −4.81799 | − | 4.93803i | −0.205440 | − | 0.210558i | ||||
\(551\) | −22.4032 | + | 3.95029i | −0.954408 | + | 0.168288i | ||||
\(552\) | −0.138895 | − | 0.846841i | −0.00591175 | − | 0.0360440i | ||||
\(553\) | 13.7488 | + | 6.41118i | 0.584659 | + | 0.272631i | ||||
\(554\) | −17.0298 | + | 6.19835i | −0.723528 | + | 0.263343i | ||||
\(555\) | 6.05620 | − | 4.89756i | 0.257071 | − | 0.207890i | ||||
\(556\) | 1.45092 | + | 8.22858i | 0.0615328 | + | 0.348970i | ||||
\(557\) | 17.6438 | − | 4.72765i | 0.747594 | − | 0.200317i | 0.135143 | − | 0.990826i | \(-0.456851\pi\) |
0.612451 | + | 0.790509i | \(0.290184\pi\) | |||||||
\(558\) | 1.85367 | + | 4.23705i | 0.0784720 | + | 0.179369i | ||||
\(559\) | 8.08746 | − | 4.66930i | 0.342063 | − | 0.197490i | ||||
\(560\) | 8.78581 | − | 1.49350i | 0.371268 | − | 0.0631121i | ||||
\(561\) | 6.71503 | + | 6.87768i | 0.283509 | + | 0.290376i | ||||
\(562\) | 10.5441 | + | 15.0586i | 0.444777 | + | 0.635207i | ||||
\(563\) | 24.3545 | − | 2.13074i | 1.02642 | − | 0.0898001i | 0.438510 | − | 0.898727i | \(-0.355507\pi\) |
0.587910 | + | 0.808926i | \(0.299951\pi\) | |||||||
\(564\) | 12.5372 | + | 6.02984i | 0.527910 | + | 0.253902i | ||||
\(565\) | 16.1885 | + | 19.5356i | 0.681057 | + | 0.821867i | ||||
\(566\) | 25.2087i | 1.05960i | ||||||||
\(567\) | −34.1634 | − | 10.9307i | −1.43473 | − | 0.459046i | ||||
\(568\) | 8.97938 | + | 8.97938i | 0.376766 | + | 0.376766i | ||||
\(569\) | 6.28696 | + | 2.28827i | 0.263563 | + | 0.0959291i | 0.470422 | − | 0.882442i | \(-0.344102\pi\) |
−0.206859 | + | 0.978371i | \(0.566324\pi\) | |||||||
\(570\) | −2.75678 | + | 14.1323i | −0.115469 | + | 0.591938i | ||||
\(571\) | 18.3978 | + | 15.4376i | 0.769924 | + | 0.646043i | 0.940690 | − | 0.339269i | \(-0.110180\pi\) |
−0.170765 | + | 0.985312i | \(0.554624\pi\) | |||||||
\(572\) | −7.84599 | + | 5.49382i | −0.328057 | + | 0.229708i | ||||
\(573\) | −29.9426 | − | 0.358286i | −1.25087 | − | 0.0149676i | ||||
\(574\) | 21.5089 | + | 25.6333i | 0.897765 | + | 1.06991i | ||||
\(575\) | −2.40058 | + | 0.611679i | −0.100111 | + | 0.0255088i | ||||
\(576\) | −2.96604 | + | 0.450102i | −0.123585 | + | 0.0187542i | ||||
\(577\) | −0.846255 | − | 3.15827i | −0.0352301 | − | 0.131480i | 0.946071 | − | 0.323959i | \(-0.105014\pi\) |
−0.981301 | + | 0.192479i | \(0.938347\pi\) | |||||||
\(578\) | −0.674656 | − | 0.472399i | −0.0280620 | − | 0.0196492i | ||||
\(579\) | 2.45911 | − | 1.11108i | 0.102197 | − | 0.0461748i | ||||
\(580\) | −11.2561 | + | 7.77888i | −0.467386 | + | 0.323000i | ||||
\(581\) | 1.52696 | + | 4.19528i | 0.0633488 | + | 0.174049i | ||||
\(582\) | −17.7835 | + | 2.91677i | −0.737150 | + | 0.120904i | ||||
\(583\) | −2.38716 | + | 3.40921i | −0.0988660 | + | 0.141195i | ||||
\(584\) | −3.98153 | + | 6.89621i | −0.164757 | + | 0.285367i | ||||
\(585\) | −44.2169 | + | 14.6032i | −1.82815 | + | 0.603766i | ||||
\(586\) | −6.27776 | − | 10.8734i | −0.259332 | − | 0.449176i | ||||
\(587\) | −12.5047 | − | 1.09402i | −0.516124 | − | 0.0451550i | −0.173882 | − | 0.984767i | \(-0.555631\pi\) |
−0.342243 | + | 0.939612i | \(0.611187\pi\) | |||||||
\(588\) | −13.2333 | − | 7.85284i | −0.545732 | − | 0.323846i | ||||
\(589\) | −5.64417 | − | 0.995219i | −0.232564 | − | 0.0410073i | ||||
\(590\) | 5.42560 | − | 1.93704i | 0.223368 | − | 0.0797467i | ||||
\(591\) | 10.2564 | − | 0.773786i | 0.421893 | − | 0.0318293i | ||||
\(592\) | −1.82261 | + | 0.849898i | −0.0749089 | + | 0.0349306i | ||||
\(593\) | −14.2960 | + | 14.2960i | −0.587065 | + | 0.587065i | −0.936835 | − | 0.349771i | \(-0.886259\pi\) |
0.349771 | + | 0.936835i | \(0.386259\pi\) | |||||||
\(594\) | −0.368153 | − | 7.16027i | −0.0151055 | − | 0.293789i | ||||
\(595\) | 9.06377 | + | 34.6784i | 0.371579 | + | 1.42168i | ||||
\(596\) | 2.48645 | − | 6.83147i | 0.101849 | − | 0.279828i | ||||
\(597\) | 0.656551 | − | 3.47951i | 0.0268709 | − | 0.142407i | ||||
\(598\) | 0.299753 | + | 3.42620i | 0.0122578 | + | 0.140108i | ||||
\(599\) | −1.75900 | + | 9.97576i | −0.0718706 | + | 0.407599i | 0.927554 | + | 0.373689i | \(0.121907\pi\) |
−0.999425 | + | 0.0339101i | \(0.989204\pi\) | |||||||
\(600\) | 2.03778 | + | 8.41709i | 0.0831922 | + | 0.343626i | ||||
\(601\) | 19.0179 | − | 15.9580i | 0.775758 | − | 0.650939i | −0.166418 | − | 0.986055i | \(-0.553220\pi\) |
0.942177 | + | 0.335117i | \(0.108776\pi\) | |||||||
\(602\) | −1.38771 | + | 5.17900i | −0.0565588 | + | 0.211080i | ||||
\(603\) | −2.97175 | − | 12.2567i | −0.121019 | − | 0.499131i | ||||
\(604\) | −13.8471 | − | 7.99463i | −0.563431 | − | 0.325297i | ||||
\(605\) | 18.4864 | − | 8.48229i | 0.751579 | − | 0.344854i | ||||
\(606\) | 23.6405 | + | 2.35361i | 0.960328 | + | 0.0956090i | ||||
\(607\) | 8.72581 | − | 18.7126i | 0.354170 | − | 0.759519i | −0.645823 | − | 0.763488i | \(-0.723485\pi\) |
0.999992 | + | 0.00396842i | \(0.00126319\pi\) | |||||||
\(608\) | 1.57118 | − | 3.36940i | 0.0637197 | − | 0.136647i | ||||
\(609\) | 42.0323 | + | 4.18468i | 1.70323 | + | 0.169572i | ||||
\(610\) | −18.7075 | − | 6.93959i | −0.757443 | − | 0.280976i | ||||
\(611\) | −48.2856 | − | 27.8777i | −1.95343 | − | 1.12781i | ||||
\(612\) | −2.84313 | − | 11.7262i | −0.114927 | − | 0.474004i | ||||
\(613\) | 4.31596 | − | 16.1074i | 0.174320 | − | 0.650570i | −0.822347 | − | 0.568987i | \(-0.807336\pi\) |
0.996666 | − | 0.0815837i | \(-0.0259978\pi\) | |||||||
\(614\) | 1.86995 | − | 1.56907i | 0.0754649 | − | 0.0633226i | ||||
\(615\) | −23.4060 | + | 22.5729i | −0.943819 | + | 0.910225i | ||||
\(616\) | 0.954935 | − | 5.41570i | 0.0384754 | − | 0.218205i | ||||
\(617\) | −3.76852 | − | 43.0744i | −0.151715 | − | 1.73411i | −0.566388 | − | 0.824139i | \(-0.691659\pi\) |
0.414673 | − | 0.909971i | \(-0.363896\pi\) | |||||||
\(618\) | 6.06588 | − | 32.1472i | 0.244005 | − | 1.29315i | ||||
\(619\) | −3.88899 | + | 10.6849i | −0.156312 | + | 0.429462i | −0.992985 | − | 0.118239i | \(-0.962275\pi\) |
0.836674 | + | 0.547702i | \(0.184497\pi\) | |||||||
\(620\) | −3.33508 | + | 0.871679i | −0.133940 | + | 0.0350075i | ||||
\(621\) | −2.29271 | − | 1.17105i | −0.0920033 | − | 0.0469927i | ||||
\(622\) | 1.40405 | − | 1.40405i | 0.0562973 | − | 0.0562973i | ||||
\(623\) | −28.4630 | + | 13.2725i | −1.14035 | + | 0.531753i | ||||
\(624\) | 11.9892 | − | 0.904513i | 0.479953 | − | 0.0362095i | ||||
\(625\) | 23.6956 | − | 7.96988i | 0.947824 | − | 0.318795i | ||||
\(626\) | −18.0564 | − | 3.18384i | −0.721681 | − | 0.127252i | ||||
\(627\) | 7.64095 | + | 4.53426i | 0.305150 | + | 0.181081i | ||||
\(628\) | 13.7163 | + | 1.20002i | 0.547340 | + | 0.0478860i | ||||
\(629\) | −4.04417 | − | 7.00471i | −0.161252 | − | 0.279296i | ||||
\(630\) | 12.0226 | − | 23.8798i | 0.478993 | − | 0.951395i | ||||
\(631\) | 5.21919 | − | 9.03991i | 0.207773 | − | 0.359873i | −0.743240 | − | 0.669025i | \(-0.766712\pi\) |
0.951013 | + | 0.309152i | \(0.100045\pi\) | |||||||
\(632\) | 2.18322 | − | 3.11797i | 0.0868440 | − | 0.124026i | ||||
\(633\) | 14.2354 | − | 2.33483i | 0.565808 | − | 0.0928011i | ||||
\(634\) | 0.781888 | + | 2.14822i | 0.0310527 | + | 0.0853167i | ||||
\(635\) | −32.0283 | − | 5.85084i | −1.27100 | − | 0.232183i | ||||
\(636\) | 4.76092 | − | 2.15108i | 0.188783 | − | 0.0852960i | ||||
\(637\) | 50.5179 | + | 35.3730i | 2.00159 | + | 1.40153i | ||||
\(638\) | 2.18524 | + | 8.15541i | 0.0865143 | + | 0.322876i | ||||
\(639\) | 37.6650 | − | 5.71573i | 1.49001 | − | 0.226111i | ||||
\(640\) | 0.0137560 | − | 2.23603i | 0.000543754 | − | 0.0883867i | ||||
\(641\) | −7.45071 | − | 8.87941i | −0.294285 | − | 0.350715i | 0.598561 | − | 0.801077i | \(-0.295739\pi\) |
−0.892846 | + | 0.450362i | \(0.851295\pi\) | |||||||
\(642\) | −24.1256 | − | 0.288681i | −0.952161 | − | 0.0113933i | ||||
\(643\) | 0.975543 | − | 0.683083i | 0.0384717 | − | 0.0269382i | −0.554182 | − | 0.832395i | \(-0.686969\pi\) |
0.592654 | + | 0.805457i | \(0.298080\pi\) | |||||||
\(644\) | −1.51266 | − | 1.26928i | −0.0596073 | − | 0.0500164i | ||||
\(645\) | −5.11394 | − | 0.997572i | −0.201361 | − | 0.0392794i | ||||
\(646\) | 14.0509 | + | 5.11411i | 0.552825 | + | 0.201212i | ||||
\(647\) | −35.5625 | − | 35.5625i | −1.39811 | − | 1.39811i | −0.805472 | − | 0.592634i | \(-0.798088\pi\) |
−0.592634 | − | 0.805472i | \(-0.701912\pi\) | |||||||
\(648\) | −4.18945 | + | 7.96546i | −0.164577 | + | 0.312913i | ||||
\(649\) | − | 3.55496i | − | 0.139544i | ||||||
\(650\) | −5.60602 | − | 34.2525i | −0.219886 | − | 1.34349i | ||||
\(651\) | 9.59023 | + | 4.61249i | 0.375871 | + | 0.180778i | ||||
\(652\) | −19.6077 | + | 1.71545i | −0.767896 | + | 0.0671822i | ||||
\(653\) | −11.0851 | − | 15.8312i | −0.433794 | − | 0.619523i | 0.541429 | − | 0.840747i | \(-0.317884\pi\) |
−0.975223 | + | 0.221224i | \(0.928995\pi\) | |||||||
\(654\) | −18.7941 | − | 19.2493i | −0.734908 | − | 0.752708i | ||||
\(655\) | −27.2039 | + | 38.3469i | −1.06294 | + | 1.49834i | ||||
\(656\) | 7.27108 | − | 4.19796i | 0.283888 | − | 0.163903i | ||||
\(657\) | 9.57504 | + | 21.8863i | 0.373558 | + | 0.853867i | ||||
\(658\) | 30.9208 | − | 8.28521i | 1.20542 | − | 0.322991i | ||||
\(659\) | 2.19147 | + | 12.4284i | 0.0853676 | + | 0.484144i | 0.997277 | + | 0.0737513i | \(0.0234971\pi\) |
−0.911909 | + | 0.410392i | \(0.865392\pi\) | |||||||
\(660\) | 5.31435 | + | 0.562128i | 0.206861 | + | 0.0218808i | ||||
\(661\) | −20.0840 | + | 7.30999i | −0.781179 | + | 0.284326i | −0.701664 | − | 0.712508i | \(-0.747559\pi\) |
−0.0795146 | + | 0.996834i | \(0.525337\pi\) | |||||||
\(662\) | −3.63400 | − | 1.69456i | −0.141239 | − | 0.0658610i | ||||
\(663\) | 7.82679 | + | 47.7199i | 0.303967 | + | 1.85329i | ||||
\(664\) | 1.10317 | − | 0.194519i | 0.0428114 | − | 0.00754881i | ||||
\(665\) | 16.3891 | + | 28.7943i | 0.635541 | + | 1.11660i | ||||
\(666\) | −1.18950 | + | 5.91467i | −0.0460923 | + | 0.229189i | ||||
\(667\) | 2.92840 | + | 0.784663i | 0.113388 | + | 0.0303823i | ||||
\(668\) | 0.693053 | − | 7.92163i | 0.0268150 | − | 0.306497i | ||||
\(669\) | 4.82522 | + | 18.9102i | 0.186554 | + | 0.731110i | ||||
\(670\) | 9.36938 | − | 0.761664i | 0.361971 | − | 0.0294256i | ||||
\(671\) | −7.91433 | + | 9.43193i | −0.305529 | + | 0.364116i | ||||
\(672\) | −4.50017 | + | 5.23460i | −0.173598 | + | 0.201929i | ||||
\(673\) | 11.8117 | + | 25.3302i | 0.455307 | + | 0.976409i | 0.991231 | + | 0.132142i | \(0.0421856\pi\) |
−0.535924 | + | 0.844266i | \(0.680037\pi\) | |||||||
\(674\) | 24.4891 | 0.943285 | ||||||||
\(675\) | 23.9574 | + | 10.0519i | 0.922123 | + | 0.386898i | ||||
\(676\) | −35.1864 | −1.35332 | ||||||||
\(677\) | −15.9845 | − | 34.2788i | −0.614333 | − | 1.31744i | −0.929646 | − | 0.368453i | \(-0.879887\pi\) |
0.315313 | − | 0.948988i | \(-0.397890\pi\) | |||||||
\(678\) | −19.3118 | − | 3.64396i | −0.741665 | − | 0.139945i | ||||
\(679\) | −26.6546 | + | 31.7657i | −1.02291 | + | 1.21905i | ||||
\(680\) | 8.96387 | − | 0.728699i | 0.343749 | − | 0.0279443i | ||||
\(681\) | 2.99639 | + | 0.841432i | 0.114822 | + | 0.0322438i | ||||
\(682\) | −0.185391 | + | 2.11902i | −0.00709897 | + | 0.0811416i | ||||
\(683\) | 17.3808 | + | 4.65718i | 0.665059 | + | 0.178202i | 0.575528 | − | 0.817782i | \(-0.304796\pi\) |
0.0895311 | + | 0.995984i | \(0.471463\pi\) | |||||||
\(684\) | −5.34387 | − | 9.78960i | −0.204328 | − | 0.374315i | ||||
\(685\) | −0.237543 | − | 0.417345i | −0.00907606 | − | 0.0159459i | ||||
\(686\) | −7.39538 | + | 1.30401i | −0.282357 | + | 0.0497872i | ||||
\(687\) | 15.0355 | − | 12.3127i | 0.573640 | − | 0.469760i | ||||
\(688\) | 1.21926 | + | 0.568549i | 0.0464837 | + | 0.0216757i | ||||
\(689\) | −19.6751 | + | 7.16116i | −0.749562 | + | 0.272818i | ||||
\(690\) | 1.12893 | − | 1.55167i | 0.0429776 | − | 0.0590711i | ||||
\(691\) | 3.48622 | + | 19.7713i | 0.132622 | + | 0.752137i | 0.976486 | + | 0.215580i | \(0.0691642\pi\) |
−0.843864 | + | 0.536557i | \(0.819725\pi\) | |||||||
\(692\) | 20.3182 | − | 5.44426i | 0.772383 | − | 0.206960i | ||||
\(693\) | −11.3832 | − | 11.9415i | −0.432412 | − | 0.453619i | ||||
\(694\) | 1.27050 | − | 0.733522i | 0.0482274 | − | 0.0278441i | ||||
\(695\) | −10.8104 | + | 15.2384i | −0.410061 | + | 0.578027i | ||||
\(696\) | 2.86537 | − | 10.2038i | 0.108612 | − | 0.386772i | ||||
\(697\) | 19.3687 | + | 27.6614i | 0.733642 | + | 1.04775i | ||||
\(698\) | 3.85049 | − | 0.336874i | 0.145743 | − | 0.0127509i | ||||
\(699\) | 11.5279 | − | 7.86808i | 0.436027 | − | 0.297598i | ||||
\(700\) | 16.1818 | + | 11.6299i | 0.611614 | + | 0.439569i | ||||
\(701\) | 13.6300i | 0.514800i | 0.966305 | + | 0.257400i | \(0.0828657\pi\) | ||||
−0.966305 | + | 0.257400i | \(0.917134\pi\) | |||||||
\(702\) | 19.1443 | − | 30.5700i | 0.722557 | − | 1.15379i | ||||
\(703\) | −5.28665 | − | 5.28665i | −0.199390 | − | 0.199390i | ||||
\(704\) | −1.29660 | − | 0.471924i | −0.0488675 | − | 0.0177863i | ||||
\(705\) | 10.1082 | + | 29.4198i | 0.380697 | + | 1.10801i | ||||
\(706\) | 1.29081 | + | 1.08312i | 0.0485802 | + | 0.0407637i | ||||
\(707\) | 44.7800 | − | 31.3553i | 1.68413 | − | 1.17924i | ||||
\(708\) | −2.27731 | + | 3.83763i | −0.0855865 | + | 0.144227i | ||||
\(709\) | 7.94365 | + | 9.46687i | 0.298330 | + | 0.355536i | 0.894298 | − | 0.447473i | \(-0.147676\pi\) |
−0.595968 | + | 0.803008i | \(0.703231\pi\) | |||||||
\(710\) | −0.174684 | + | 28.3947i | −0.00655578 | + | 1.06564i | ||||
\(711\) | −3.64765 | − | 10.8207i | −0.136798 | − | 0.405809i | ||||
\(712\) | 2.03948 | + | 7.61144i | 0.0764327 | + | 0.285251i | ||||
\(713\) | 0.625664 | + | 0.438095i | 0.0234313 | + | 0.0164068i | ||||
\(714\) | −22.5509 | − | 16.1958i | −0.843946 | − | 0.606114i | ||||
\(715\) | −21.0688 | − | 3.84879i | −0.787929 | − | 0.143937i | ||||
\(716\) | −4.02318 | − | 11.0536i | −0.150353 | − | 0.413092i | ||||
\(717\) | 5.94048 | − | 15.7330i | 0.221851 | − | 0.587561i | ||||
\(718\) | 1.65466 | − | 2.36309i | 0.0617512 | − | 0.0881899i | ||||
\(719\) | 13.8540 | − | 23.9958i | 0.516666 | − | 0.894891i | −0.483147 | − | 0.875539i | \(-0.660506\pi\) |
0.999813 | − | 0.0193519i | \(-0.00616029\pi\) | |||||||
\(720\) | −5.37682 | − | 4.01121i | −0.200382 | − | 0.149489i | ||||
\(721\) | −37.6385 | − | 65.1917i | −1.40173 | − | 2.42787i | ||||
\(722\) | −5.15881 | − | 0.451338i | −0.191991 | − | 0.0167970i | ||||
\(723\) | 0.146943 | − | 12.2803i | 0.00546486 | − | 0.456709i | ||||
\(724\) | −10.8983 | − | 1.92166i | −0.405032 | − | 0.0714180i | ||||
\(725\) | −30.0626 | − | 5.68308i | −1.11650 | − | 0.211064i | ||||
\(726\) | −6.82869 | + | 14.1981i | −0.253436 | + | 0.526942i | ||||
\(727\) | −16.8057 | + | 7.83664i | −0.623290 | + | 0.290645i | −0.708492 | − | 0.705719i | \(-0.750624\pi\) |
0.0852018 | + | 0.996364i | \(0.472846\pi\) | |||||||
\(728\) | 19.5628 | − | 19.5628i | 0.725044 | − | 0.725044i | ||||
\(729\) | 11.7880 | + | 24.2908i | 0.436593 | + | 0.899659i | ||||
\(730\) | −17.2272 | + | 4.50262i | −0.637609 | + | 0.166649i | ||||
\(731\) | −1.85060 | + | 5.08447i | −0.0684468 | + | 0.188056i | ||||
\(732\) | 14.5857 | − | 5.11198i | 0.539105 | − | 0.188944i | ||||
\(733\) | −4.35514 | − | 49.7795i | −0.160861 | − | 1.83865i | −0.464160 | − | 0.885751i | \(-0.653644\pi\) |
0.303299 | − | 0.952895i | \(-0.401912\pi\) | |||||||
\(734\) | −4.14480 | + | 23.5063i | −0.152987 | + | 0.867634i | ||||
\(735\) | −8.30197 | − | 33.3918i | −0.306223 | − | 1.23167i | ||||
\(736\) | −0.379542 | + | 0.318473i | −0.0139901 | + | 0.0117391i | ||||
\(737\) | 1.50132 | − | 5.60300i | 0.0553018 | − | 0.206389i | ||||
\(738\) | 2.79503 | − | 25.0322i | 0.102887 | − | 0.921448i | ||||
\(739\) | −25.8007 | − | 14.8961i | −0.949095 | − | 0.547960i | −0.0562951 | − | 0.998414i | \(-0.517929\pi\) |
−0.892800 | + | 0.450454i | \(0.851262\pi\) | |||||||
\(740\) | −4.21607 | − | 1.56396i | −0.154986 | − | 0.0574924i | ||||
\(741\) | 18.4047 | + | 40.7344i | 0.676112 | + | 1.49642i | ||||
\(742\) | 5.08042 | − | 10.8950i | 0.186508 | − | 0.399968i | ||||
\(743\) | −10.8490 | + | 23.2658i | −0.398011 | + | 0.853538i | 0.600533 | + | 0.799600i | \(0.294955\pi\) |
−0.998544 | + | 0.0539380i | \(0.982823\pi\) | |||||||
\(744\) | 1.55758 | − | 2.16876i | 0.0571037 | − | 0.0795105i | ||||
\(745\) | 14.7749 | − | 6.77931i | 0.541311 | − | 0.248375i | ||||
\(746\) | −20.8836 | − | 12.0571i | −0.764602 | − | 0.441443i | ||||
\(747\) | 1.49271 | − | 3.01086i | 0.0546154 | − | 0.110162i | ||||
\(748\) | 1.43634 | − | 5.36050i | 0.0525179 | − | 0.195999i | ||||
\(749\) | −42.5290 | + | 35.6861i | −1.55398 | + | 1.30394i | ||||
\(750\) | −10.1881 | + | 16.4682i | −0.372016 | + | 0.601335i | ||||
\(751\) | 3.03368 | − | 17.2049i | 0.110701 | − | 0.627814i | −0.878089 | − | 0.478498i | \(-0.841182\pi\) |
0.988789 | − | 0.149317i | \(-0.0477073\pi\) | |||||||
\(752\) | −0.700036 | − | 8.00145i | −0.0255277 | − | 0.291783i | ||||
\(753\) | −6.34711 | − | 5.45659i | −0.231301 | − | 0.198849i | ||||
\(754\) | −14.5277 | + | 39.9144i | −0.529066 | + | 1.45360i | ||||
\(755\) | −9.04095 | − | 34.5911i | −0.329034 | − | 1.25890i | ||||
\(756\) | 4.63861 | + | 20.1831i | 0.168705 | + | 0.734051i | ||||
\(757\) | 0.867061 | − | 0.867061i | 0.0315139 | − | 0.0315139i | −0.691174 | − | 0.722688i | \(-0.742906\pi\) |
0.722688 | + | 0.691174i | \(0.242906\pi\) | |||||||
\(758\) | 24.0835 | − | 11.2303i | 0.874752 | − | 0.407903i | ||||
\(759\) | −0.667516 | − | 0.978012i | −0.0242293 | − | 0.0354996i | ||||
\(760\) | 7.82909 | − | 2.79513i | 0.283991 | − | 0.101390i | ||||
\(761\) | −21.0273 | − | 3.70768i | −0.762239 | − | 0.134403i | −0.221002 | − | 0.975273i | \(-0.570933\pi\) |
−0.541237 | + | 0.840870i | \(0.682044\pi\) | |||||||
\(762\) | 21.9901 | − | 12.3476i | 0.796617 | − | 0.447305i | ||||
\(763\) | −61.6683 | − | 5.39528i | −2.23254 | − | 0.195322i | ||||
\(764\) | 8.64430 | + | 14.9724i | 0.312740 | + | 0.541681i | ||||
\(765\) | 14.1868 | − | 22.9493i | 0.512926 | − | 0.829734i | ||||
\(766\) | 9.25649 | − | 16.0327i | 0.334450 | − | 0.579285i | ||||
\(767\) | 10.2581 | − | 14.6501i | 0.370399 | − | 0.528984i | ||||
\(768\) | 1.09739 | + | 1.34005i | 0.0395985 | + | 0.0483550i | ||||
\(769\) | 6.04624 | + | 16.6119i | 0.218033 | + | 0.599041i | 0.999696 | − | 0.0246605i | \(-0.00785048\pi\) |
−0.781663 | + | 0.623701i | \(0.785628\pi\) | |||||||
\(770\) | 10.1161 | − | 6.99100i | 0.364558 | − | 0.251938i | ||||
\(771\) | −0.817908 | + | 8.21534i | −0.0294562 | + | 0.295868i | ||||
\(772\) | −1.27621 | − | 0.893609i | −0.0459316 | − | 0.0321617i | ||||
\(773\) | 9.71674 | + | 36.2634i | 0.349487 | + | 1.30430i | 0.887282 | + | 0.461227i | \(0.152591\pi\) |
−0.537795 | + | 0.843075i | \(0.680743\pi\) | |||||||
\(774\) | 3.54248 | − | 1.93374i | 0.127332 | − | 0.0695068i | ||||
\(775\) | −6.62739 | − | 3.93583i | −0.238063 | − | 0.141379i | ||||
\(776\) | 6.68788 | + | 7.97031i | 0.240081 | + | 0.286117i | ||||
\(777\) | 6.79681 | + | 12.1046i | 0.243834 | + | 0.434251i | ||||
\(778\) | −5.53202 | + | 3.87356i | −0.198333 | + | 0.138874i | ||||
\(779\) | 23.9111 | + | 20.0638i | 0.856704 | + | 0.718860i | ||||
\(780\) | 20.2786 | + | 17.6515i | 0.726089 | + | 0.632026i | ||||
\(781\) | 16.4652 | + | 5.99285i | 0.589172 | + | 0.214441i | ||||
\(782\) | −1.40907 | − | 1.40907i | −0.0503881 | − | 0.0503881i | ||||
\(783\) | −19.5504 | − | 25.0744i | −0.698673 | − | 0.896086i | ||||
\(784\) | 8.88420i | 0.317293i | ||||||||
\(785\) | 19.6445 | + | 23.7061i | 0.701143 | + | 0.846106i | ||||
\(786\) | −2.73978 | − | 36.3155i | −0.0977247 | − | 1.29533i | ||||
\(787\) | 1.93066 | − | 0.168911i | 0.0688205 | − | 0.00602102i | −0.0526935 | − | 0.998611i | \(-0.516781\pi\) |
0.121514 | + | 0.992590i | \(0.461225\pi\) | |||||||
\(788\) | −3.40612 | − | 4.86444i | −0.121338 | − | 0.173288i | ||||
\(789\) | −13.4494 | + | 3.43182i | −0.478811 | + | 0.122176i | ||||
\(790\) | 8.39085 | − | 1.42637i | 0.298533 | − | 0.0507478i | ||||
\(791\) | −39.1627 | + | 22.6106i | −1.39246 | + | 0.803940i | ||||
\(792\) | −3.44668 | + | 2.29247i | −0.122472 | + | 0.0814594i | ||||
\(793\) | −59.8318 | + | 16.0319i | −2.12469 | + | 0.569309i | ||||
\(794\) | −3.76763 | − | 21.3673i | −0.133708 | − | 0.758297i | ||||
\(795\) | 10.9032 | + | 4.19367i | 0.386698 | + | 0.148734i | ||||
\(796\) | −1.92106 | + | 0.699207i | −0.0680900 | + | 0.0247827i | ||||
\(797\) | 44.4514 | + | 20.7280i | 1.57455 | + | 0.734225i | 0.996642 | − | 0.0818766i | \(-0.0260913\pi\) |
0.577908 | + | 0.816102i | \(0.303869\pi\) | |||||||
\(798\) | −24.0093 | − | 9.06545i | −0.849920 | − | 0.320913i | ||||
\(799\) | 31.8139 | − | 5.60965i | 1.12549 | − | 0.198455i | ||||
\(800\) | 3.57877 | − | 3.49177i | 0.126528 | − | 0.123453i | ||||
\(801\) | 22.0143 | + | 8.61452i | 0.777839 | + | 0.304379i | ||||
\(802\) | 19.1138 | + | 5.12153i | 0.674932 | + | 0.180848i | ||||
\(803\) | −0.957628 | + | 10.9457i | −0.0337939 | + | 0.386267i | ||||
\(804\) | −5.20998 | + | 5.08678i | −0.183742 | + | 0.179397i | ||||
\(805\) | −0.357763 | − | 4.40091i | −0.0126095 | − | 0.155112i | ||||
\(806\) | −6.87861 | + | 8.19761i | −0.242289 | + | 0.288749i | ||||
\(807\) | 1.17000 | + | 3.33830i | 0.0411860 | + | 0.117514i | ||||
\(808\) | −5.79676 | − | 12.4312i | −0.203929 | − | 0.437328i | ||||
\(809\) | −7.77851 | −0.273478 | −0.136739 | − | 0.990607i | \(-0.543662\pi\) | ||||
−0.136739 | + | 0.990607i | \(0.543662\pi\) | |||||||
\(810\) | −19.2550 | + | 5.85205i | −0.676550 | + | 0.205620i | ||||
\(811\) | −23.3881 | −0.821267 | −0.410634 | − | 0.911800i | \(-0.634692\pi\) | ||||
−0.410634 | + | 0.911800i | \(0.634692\pi\) | |||||||
\(812\) | −10.3065 | − | 22.1024i | −0.361688 | − | 0.775643i | ||||
\(813\) | −11.8324 | − | 33.7606i | −0.414979 | − | 1.18404i | ||||
\(814\) | −1.78364 | + | 2.12566i | −0.0625165 | + | 0.0745043i | ||||
\(815\) | −33.5402 | − | 28.4970i | −1.17486 | − | 0.998206i | ||||
\(816\) | −4.98450 | + | 4.86662i | −0.174492 | + | 0.170366i | ||||
\(817\) | −0.435906 | + | 4.98243i | −0.0152504 | + | 0.174313i | ||||
\(818\) | 15.3259 | + | 4.10657i | 0.535859 | + | 0.143583i | ||||
\(819\) | −12.4525 | − | 82.0583i | −0.435125 | − | 2.86735i | ||||
\(820\) | 18.1039 | + | 4.97050i | 0.632216 | + | 0.173577i | ||||
\(821\) | −1.35556 | + | 0.239021i | −0.0473093 | + | 0.00834190i | −0.197253 | − | 0.980353i | \(-0.563202\pi\) |
0.149943 | + | 0.988695i | \(0.452091\pi\) | |||||||
\(822\) | 0.347991 | + | 0.131395i | 0.0121376 | + | 0.00458291i | ||||
\(823\) | 9.75163 | + | 4.54726i | 0.339920 | + | 0.158507i | 0.585081 | − | 0.810975i | \(-0.301063\pi\) |
−0.245160 | + | 0.969483i | \(0.578841\pi\) | |||||||
\(824\) | −17.7486 | + | 6.45998i | −0.618303 | + | 0.225044i | ||||
\(825\) | 7.45663 | + | 9.33758i | 0.259606 | + | 0.325093i | ||||
\(826\) | 1.78306 | + | 10.1122i | 0.0620406 | + | 0.351850i | ||||
\(827\) | 20.8152 | − | 5.57741i | 0.723815 | − | 0.193946i | 0.121942 | − | 0.992537i | \(-0.461088\pi\) |
0.601873 | + | 0.798592i | \(0.294421\pi\) | |||||||
\(828\) | 0.0940779 | + | 1.48339i | 0.00326943 | + | 0.0515513i | ||||
\(829\) | 33.7715 | − | 19.4980i | 1.17293 | − | 0.677192i | 0.218563 | − | 0.975823i | \(-0.429863\pi\) |
0.954369 | + | 0.298631i | \(0.0965298\pi\) | |||||||
\(830\) | 2.04295 | + | 1.44930i | 0.0709120 | + | 0.0503060i | ||||
\(831\) | 30.4150 | − | 7.76086i | 1.05509 | − | 0.269221i | ||||
\(832\) | −3.98156 | − | 5.68626i | −0.138036 | − | 0.197136i | ||||
\(833\) | −35.5962 | + | 3.11426i | −1.23333 | + | 0.107903i | ||||
\(834\) | −1.08874 | − | 14.4312i | −0.0377002 | − | 0.499711i | ||||
\(835\) | 13.6911 | − | 11.3454i | 0.473799 | − | 0.392623i | ||||
\(836\) | − | 5.12977i | − | 0.177417i | ||||||
\(837\) | −2.46781 | − | 7.62076i | −0.0852999 | − | 0.263412i | ||||
\(838\) | 22.0595 | + | 22.0595i | 0.762034 | + | 0.762034i | ||||
\(839\) | −13.7227 | − | 4.99464i | −0.473759 | − | 0.172434i | 0.0940957 | − | 0.995563i | \(-0.470004\pi\) |
−0.567854 | + | 0.823129i | \(0.692226\pi\) | |||||||
\(840\) | −15.3989 | + | 1.06652i | −0.531312 | + | 0.0367985i | ||||
\(841\) | 6.46718 | + | 5.42661i | 0.223006 | + | 0.187124i | ||||
\(842\) | 24.9195 | − | 17.4488i | 0.858784 | − | 0.601327i | ||||
\(843\) | −15.5892 | − | 27.7632i | −0.536920 | − | 0.956215i | ||||
\(844\) | −5.35355 | − | 6.38012i | −0.184277 | − | 0.219613i | ||||
\(845\) | −55.2913 | − | 55.9759i | −1.90208 | − | 1.92563i | ||||
\(846\) | −20.5735 | − | 12.5439i | −0.707333 | − | 0.431268i | ||||
\(847\) | 9.38285 | + | 35.0173i | 0.322398 | + | 1.20321i | ||||
\(848\) | −2.47078 | − | 1.73006i | −0.0848468 | − | 0.0594104i | ||||
\(849\) | 4.32563 | − | 43.4480i | 0.148455 | − | 1.49113i | ||||
\(850\) | 15.2449 | + | 13.1150i | 0.522896 | + | 0.449840i | ||||
\(851\) | 0.340781 | + | 0.936289i | 0.0116818 | + | 0.0320956i | ||||
\(852\) | −13.9354 | − | 17.0170i | −0.477420 | − | 0.582993i | ||||
\(853\) | −4.31796 | + | 6.16668i | −0.147844 | + | 0.211143i | −0.886243 | − | 0.463221i | \(-0.846693\pi\) |
0.738399 | + | 0.674365i | \(0.235582\pi\) | |||||||
\(854\) | 17.7819 | − | 30.7992i | 0.608485 | − | 1.05393i | ||||
\(855\) | 7.17639 | − | 23.8844i | 0.245427 | − | 0.816830i | ||||
\(856\) | 6.96496 | + | 12.0637i | 0.238057 | + | 0.412327i | ||||
\(857\) | −14.8296 | − | 1.29742i | −0.506568 | − | 0.0443190i | −0.168992 | − | 0.985617i | \(-0.554051\pi\) |
−0.337576 | + | 0.941298i | \(0.609607\pi\) | |||||||
\(858\) | 14.4655 | − | 8.12246i | 0.493844 | − | 0.277296i | ||||
\(859\) | 4.25194 | + | 0.749731i | 0.145074 | + | 0.0255805i | 0.245714 | − | 0.969342i | \(-0.420978\pi\) |
−0.100639 | + | 0.994923i | \(0.532089\pi\) | |||||||
\(860\) | 1.01145 | + | 2.83304i | 0.0344902 | + | 0.0966060i | ||||
\(861\) | −32.6728 | − | 47.8706i | −1.11349 | − | 1.63142i | ||||
\(862\) | −28.3345 | + | 13.2126i | −0.965075 | + | 0.450022i | ||||
\(863\) | −8.34154 | + | 8.34154i | −0.283949 | + | 0.283949i | −0.834682 | − | 0.550733i | \(-0.814348\pi\) |
0.550733 | + | 0.834682i | \(0.314348\pi\) | |||||||
\(864\) | 5.18930 | − | 0.266814i | 0.176543 | − | 0.00907719i | ||||
\(865\) | 40.5886 | + | 23.7680i | 1.38005 | + | 0.808135i | ||||
\(866\) | −6.67487 | + | 18.3390i | −0.226821 | + | 0.623186i | ||||
\(867\) | 1.08173 | + | 0.929961i | 0.0367375 | + | 0.0315831i | ||||
\(868\) | −0.535488 | − | 6.12065i | −0.0181756 | − | 0.207749i | ||||
\(869\) | 0.912007 | − | 5.17225i | 0.0309377 | − | 0.175456i | ||||
\(870\) | 20.7351 | − | 11.4757i | 0.702985 | − | 0.389061i | ||||
\(871\) | 22.3549 | − | 18.7580i | 0.757466 | − | 0.635590i | ||||
\(872\) | −4.02005 | + | 15.0030i | −0.136136 | + | 0.508067i | ||||
\(873\) | 31.1509 | − | 1.97562i | 1.05430 | − | 0.0668646i | ||||
\(874\) | −1.59519 | − | 0.920986i | −0.0539582 | − | 0.0311528i | ||||
\(875\) | 6.92648 | + | 44.0176i | 0.234158 | + | 1.48807i | ||||
\(876\) | 8.04562 | − | 11.2026i | 0.271836 | − | 0.378502i | ||||
\(877\) | −6.00372 | + | 12.8750i | −0.202731 | + | 0.434759i | −0.981218 | − | 0.192903i | \(-0.938210\pi\) |
0.778487 | + | 0.627661i | \(0.215988\pi\) | |||||||
\(878\) | −2.92131 | + | 6.26478i | −0.0985896 | + | 0.211426i | ||||
\(879\) | 8.95412 | + | 19.8179i | 0.302015 | + | 0.668440i | ||||
\(880\) | −1.28670 | − | 2.80425i | −0.0433747 | − | 0.0945314i | ||||
\(881\) | 17.1342 | + | 9.89241i | 0.577264 | + | 0.333284i | 0.760045 | − | 0.649870i | \(-0.225177\pi\) |
−0.182781 | + | 0.983154i | \(0.558510\pi\) | |||||||
\(882\) | 21.4605 | + | 15.8053i | 0.722612 | + | 0.532193i | ||||
\(883\) | −8.82448 | + | 32.9334i | −0.296967 | + | 1.10830i | 0.642675 | + | 0.766139i | \(0.277825\pi\) |
−0.939642 | + | 0.342158i | \(0.888842\pi\) | |||||||
\(884\) | 21.3874 | − | 17.9461i | 0.719335 | − | 0.603594i | ||||
\(885\) | −9.68356 | + | 2.40756i | −0.325509 | + | 0.0809291i | ||||
\(886\) | −0.258597 | + | 1.46657i | −0.00868773 | + | 0.0492705i | ||||
\(887\) | 3.43553 | + | 39.2682i | 0.115354 | + | 1.31850i | 0.804533 | + | 0.593908i | \(0.202416\pi\) |
−0.689180 | + | 0.724591i | \(0.742029\pi\) | |||||||
\(888\) | 3.28716 | − | 1.15208i | 0.110310 | − | 0.0386612i | ||||
\(889\) | 19.8477 | − | 54.5312i | 0.665672 | − | 1.82892i | ||||
\(890\) | −8.90375 | + | 15.2050i | −0.298454 | + | 0.509671i | ||||
\(891\) | −0.594124 | + | 12.4041i | −0.0199039 | + | 0.415553i | ||||
\(892\) | 7.96741 | − | 7.96741i | 0.266769 | − | 0.266769i | ||||
\(893\) | 27.0631 | − | 12.6197i | 0.905632 | − | 0.422303i | ||||
\(894\) | −5.45770 | + | 11.3476i | −0.182533 | + | 0.379520i | ||||
\(895\) | 11.2625 | − | 23.7696i | 0.376464 | − | 0.794531i | ||||
\(896\) | 3.92495 | + | 0.692075i | 0.131123 | + | 0.0231206i | ||||
\(897\) | 0.0712751 | − | 5.95659i | 0.00237981 | − | 0.198885i | ||||
\(898\) | −24.9636 | − | 2.18404i | −0.833047 | − | 0.0728822i | ||||
\(899\) | 4.71653 | + | 8.16926i | 0.157305 | + | 0.272460i | ||||
\(900\) | −2.06787 | − | 14.8568i | −0.0689291 | − | 0.495226i | ||||
\(901\) | 6.06569 | − | 10.5061i | 0.202077 | − | 0.350008i | ||||
\(902\) | 6.64478 | − | 9.48973i | 0.221247 | − | 0.315973i | ||||
\(903\) | 3.28043 | − | 8.68804i | 0.109166 | − | 0.289120i | ||||
\(904\) | 3.88071 | + | 10.6622i | 0.129070 | + | 0.354618i | ||||
\(905\) | −14.0683 | − | 20.3571i | −0.467647 | − | 0.676691i | ||||
\(906\) | 22.4941 | + | 16.1550i | 0.747316 | + | 0.536715i | ||||
\(907\) | −26.0320 | − | 18.2278i | −0.864378 | − | 0.605244i | 0.0550582 | − | 0.998483i | \(-0.482466\pi\) |
−0.919436 | + | 0.393239i | \(0.871354\pi\) | |||||||
\(908\) | −0.465067 | − | 1.73566i | −0.0154338 | − | 0.0575997i | ||||
\(909\) | −40.3412 | − | 8.11304i | −1.33803 | − | 0.269093i | ||||
\(910\) | 61.8617 | + | 0.380573i | 2.05070 | + | 0.0126159i | ||||
\(911\) | 22.3307 | + | 26.6127i | 0.739850 | + | 0.881719i | 0.996397 | − | 0.0848128i | \(-0.0270292\pi\) |
−0.256547 | + | 0.966532i | \(0.582585\pi\) | |||||||
\(912\) | −3.28614 | + | 5.53767i | −0.108815 | + | 0.183370i | ||||
\(913\) | 1.26613 | − | 0.886552i | 0.0419027 | − | 0.0293406i | ||||
\(914\) | −20.7363 | − | 17.3998i | −0.685895 | − | 0.575534i | ||||
\(915\) | 31.0521 | + | 15.1706i | 1.02655 | + | 0.501526i | ||||
\(916\) | −10.5434 | − | 3.83749i | −0.348364 | − | 0.126794i | ||||
\(917\) | −59.2558 | − | 59.2558i | −1.95680 | − | 1.95680i | ||||
\(918\) | 2.88809 | + | 20.6983i | 0.0953212 | + | 0.683147i | ||||
\(919\) | 42.9427i | 1.41655i | 0.705937 | + | 0.708275i | \(0.250526\pi\) | ||||
−0.705937 | + | 0.708275i | \(0.749474\pi\) | |||||||
\(920\) | −1.10304 | − | 0.103345i | −0.0363663 | − | 0.00340720i | ||||
\(921\) | −3.49215 | + | 2.38347i | −0.115070 | + | 0.0785381i | ||||
\(922\) | −11.5138 | + | 1.00732i | −0.379186 | + | 0.0331744i | ||||
\(923\) | 50.5609 | + | 72.2085i | 1.66423 | + | 2.37677i | ||||
\(924\) | −2.57515 | + | 9.17027i | −0.0847163 | + | 0.301680i | ||||
\(925\) | −4.13705 | − | 9.16466i | −0.136025 | − | 0.301332i | ||||
\(926\) | 8.14491 | − | 4.70246i | 0.267658 | − | 0.154533i | ||||
\(927\) | −15.9709 | + | 54.3658i | −0.524554 | + | 1.78561i | ||||
\(928\) | −5.91051 | + | 1.58372i | −0.194022 | + | 0.0519881i | ||||
\(929\) | −6.54454 | − | 37.1159i | −0.214719 | − | 1.21773i | −0.881393 | − | 0.472385i | \(-0.843393\pi\) |
0.666673 | − | 0.745350i | \(-0.267718\pi\) | |||||||
\(930\) | 5.89769 | − | 0.930090i | 0.193393 | − | 0.0304989i | ||||
\(931\) | −31.0371 | + | 11.2966i | −1.01720 | + | 0.370231i | ||||
\(932\) | −7.30314 | − | 3.40551i | −0.239222 | − | 0.111551i | ||||
\(933\) | −2.66085 | + | 2.17900i | −0.0871122 | + | 0.0713372i | ||||
\(934\) | 8.37233 | − | 1.47627i | 0.273951 | − | 0.0483050i | ||||
\(935\) | 10.7847 | − | 6.13841i | 0.352698 | − | 0.200748i | ||||
\(936\) | −20.8190 | − | 0.498301i | −0.680489 | − | 0.0162875i | ||||
\(937\) | −34.0800 | − | 9.13172i | −1.11335 | − | 0.298320i | −0.345158 | − | 0.938545i | \(-0.612175\pi\) |
−0.768188 | + | 0.640224i | \(0.778841\pi\) | |||||||
\(938\) | −1.46028 | + | 16.6910i | −0.0476797 | + | 0.544981i | ||||
\(939\) | 30.5745 | + | 8.58579i | 0.997761 | + | 0.280187i | ||||
\(940\) | 11.6290 | − | 13.6870i | 0.379295 | − | 0.446420i | ||||
\(941\) | −4.79884 | + | 5.71903i | −0.156438 | + | 0.186435i | −0.838570 | − | 0.544793i | \(-0.816608\pi\) |
0.682133 | + | 0.731228i | \(0.261053\pi\) | |||||||
\(942\) | −23.4345 | − | 4.42188i | −0.763539 | − | 0.144073i | ||||
\(943\) | −1.75801 | − | 3.77007i | −0.0572488 | − | 0.122770i | ||||
\(944\) | 2.57640 | 0.0838547 | ||||||||
\(945\) | −24.8189 | + | 39.0946i | −0.807360 | + | 1.27175i | ||||
\(946\) | 1.85627 | 0.0603524 | ||||||||
\(947\) | 19.4134 | + | 41.6322i | 0.630851 | + | 1.35286i | 0.918611 | + | 0.395162i | \(0.129312\pi\) |
−0.287760 | + | 0.957703i | \(0.592911\pi\) | |||||||
\(948\) | −4.29787 | + | 4.99929i | −0.139588 | + | 0.162369i | ||||
\(949\) | −35.5312 | + | 42.3444i | −1.15339 | + | 1.37456i | ||||
\(950\) | 16.7491 | + | 8.06258i | 0.543412 | + | 0.261584i | ||||
\(951\) | −0.978989 | − | 3.83669i | −0.0317459 | − | 0.124413i | ||||
\(952\) | −1.39707 | + | 15.9686i | −0.0452794 | + | 0.517546i | ||||
\(953\) | 54.0330 | + | 14.4781i | 1.75030 | + | 0.468992i | 0.984690 | − | 0.174312i | \(-0.0557701\pi\) |
0.765611 | + | 0.643304i | \(0.222437\pi\) | |||||||
\(954\) | −8.57470 | + | 2.89052i | −0.277616 | + | 0.0935840i | ||||
\(955\) | −10.2351 | + | 37.2790i | −0.331199 | + | 1.20632i | ||||
\(956\) | −9.56189 | + | 1.68602i | −0.309254 | + | 0.0545298i | ||||
\(957\) | −2.36691 | − | 14.4311i | −0.0765115 | − | 0.466490i | ||||
\(958\) | −15.5248 | − | 7.23935i | −0.501584 | − | 0.233893i | ||||
\(959\) | 0.804297 | − | 0.292740i | 0.0259721 | − | 0.00945308i | ||||
\(960\) | −0.407394 | + | 3.85150i | −0.0131486 | + | 0.124307i | ||||
\(961\) | −4.97041 | − | 28.1886i | −0.160336 | − | 0.909310i | ||||
\(962\) | −13.4842 | + | 3.61308i | −0.434748 | + | 0.116490i | ||||
\(963\) | 41.5316 | + | 4.63732i | 1.33834 | + | 0.149435i | ||||
\(964\) | −6.14058 | + | 3.54527i | −0.197775 | + | 0.114185i | ||||
\(965\) | −0.583821 | − | 3.43443i | −0.0187939 | − | 0.110558i | ||||
\(966\) | 2.38932 | + | 2.44720i | 0.0768752 | + | 0.0787372i | ||||
\(967\) | 14.3690 | + | 20.5211i | 0.462076 | + | 0.659914i | 0.980797 | − | 0.195030i | \(-0.0624805\pi\) |
−0.518721 | + | 0.854944i | \(0.673592\pi\) | |||||||
\(968\) | 9.06150 | − | 0.792778i | 0.291248 | − | 0.0254809i | ||||
\(969\) | −23.3396 | − | 11.2253i | −0.749776 | − | 0.360610i | ||||
\(970\) | −2.17023 | + | 23.1637i | −0.0696820 | + | 0.743742i | ||||
\(971\) | − | 23.4434i | − | 0.752336i | −0.926551 | − | 0.376168i | \(-0.877242\pi\) | ||
0.926551 | − | 0.376168i | \(-0.122758\pi\) | |||||||
\(972\) | 8.58745 | − | 13.0098i | 0.275443 | − | 0.417290i | ||||
\(973\) | −23.5473 | − | 23.5473i | −0.754892 | − | 0.754892i | ||||
\(974\) | 32.9053 | + | 11.9766i | 1.05435 | + | 0.383753i | ||||
\(975\) | 3.78468 | + | 59.9972i | 0.121207 | + | 1.92145i | ||||
\(976\) | −6.83565 | − | 5.73579i | −0.218804 | − | 0.183598i | ||||
\(977\) | −27.4981 | + | 19.2543i | −0.879741 | + | 0.616001i | −0.923736 | − | 0.383031i | \(-0.874880\pi\) |
0.0439949 | + | 0.999032i | \(0.485991\pi\) | |||||||
\(978\) | 34.0888 | + | 0.407898i | 1.09004 | + | 0.0130431i | ||||
\(979\) | 6.98894 | + | 8.32909i | 0.223368 | + | 0.266199i | ||||
\(980\) | −14.1333 | + | 13.9605i | −0.451472 | + | 0.445951i | ||||
\(981\) | 29.0892 | + | 36.4017i | 0.928746 | + | 1.16222i | ||||
\(982\) | 6.53205 | + | 24.3779i | 0.208446 | + | 0.777931i | ||||
\(983\) | −11.1543 | − | 7.81033i | −0.355767 | − | 0.249111i | 0.382006 | − | 0.924160i | \(-0.375234\pi\) |
−0.737773 | + | 0.675049i | \(0.764122\pi\) | |||||||
\(984\) | −13.2523 | + | 5.98765i | −0.422467 | + | 0.190879i | ||||
\(985\) | 2.38621 | − | 13.0625i | 0.0760311 | − | 0.416205i | ||||
\(986\) | −8.41732 | − | 23.1264i | −0.268062 | − | 0.736495i | ||||
\(987\) | −54.7146 | + | 8.97403i | −1.74159 | + | 0.285647i | ||||
\(988\) | 14.8024 | − | 21.1400i | 0.470926 | − | 0.672552i | ||||
\(989\) | 0.333269 | − | 0.577239i | 0.0105973 | − | 0.0183551i | ||||
\(990\) | −9.06299 | − | 1.88075i | −0.288041 | − | 0.0597741i | ||||
\(991\) | 16.5679 | + | 28.6964i | 0.526296 | + | 0.911571i | 0.999531 | + | 0.0306346i | \(0.00975283\pi\) |
−0.473235 | + | 0.880936i | \(0.656914\pi\) | |||||||
\(992\) | −1.53573 | − | 0.134359i | −0.0487595 | − | 0.00426590i | ||||
\(993\) | 5.97254 | + | 3.54420i | 0.189533 | + | 0.112472i | ||||
\(994\) | −49.8420 | − | 8.78849i | −1.58089 | − | 0.278754i | ||||
\(995\) | −4.13104 | − | 1.95736i | −0.130963 | − | 0.0620526i | ||||
\(996\) | −1.93473 | + | 0.145964i | −0.0613043 | + | 0.00462503i | ||||
\(997\) | −7.54880 | + | 3.52006i | −0.239073 | + | 0.111481i | −0.538463 | − | 0.842649i | \(-0.680995\pi\) |
0.299390 | + | 0.954131i | \(0.403217\pi\) | |||||||
\(998\) | 11.2259 | − | 11.2259i | 0.355350 | − | 0.355350i | ||||
\(999\) | 3.06505 | − | 9.98999i | 0.0969740 | − | 0.316069i |
(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 | 270.2.r.a.23.13 | ✓ | 216 | |
3.2 | odd | 2 | 810.2.s.a.503.9 | 216 | |||
5.2 | odd | 4 | inner | 270.2.r.a.77.1 | yes | 216 | |
15.2 | even | 4 | 810.2.s.a.17.18 | 216 | |||
27.7 | even | 9 | 810.2.s.a.143.18 | 216 | |||
27.20 | odd | 18 | inner | 270.2.r.a.263.1 | yes | 216 | |
135.7 | odd | 36 | 810.2.s.a.467.9 | 216 | |||
135.47 | even | 36 | inner | 270.2.r.a.47.13 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.23.13 | ✓ | 216 | 1.1 | even | 1 | trivial | |
270.2.r.a.47.13 | yes | 216 | 135.47 | even | 36 | inner | |
270.2.r.a.77.1 | yes | 216 | 5.2 | odd | 4 | inner | |
270.2.r.a.263.1 | yes | 216 | 27.20 | odd | 18 | inner | |
810.2.s.a.17.18 | 216 | 15.2 | even | 4 | |||
810.2.s.a.143.18 | 216 | 27.7 | even | 9 | |||
810.2.s.a.467.9 | 216 | 135.7 | odd | 36 | |||
810.2.s.a.503.9 | 216 | 3.2 | odd | 2 |