Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 950.11 |
Dual form | 950.2.r.a.691.3 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | + | 0.994522i | 0.0739128 | + | 0.703233i | ||||
\(3\) | −1.82987 | − | 2.03228i | −1.05648 | − | 1.17334i | −0.984401 | − | 0.175939i | \(-0.943704\pi\) |
−0.0720768 | − | 0.997399i | \(-0.522963\pi\) | |||||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −1.78813 | + | 1.34260i | −0.799678 | + | 0.600429i | ||||
\(6\) | 1.82987 | − | 2.03228i | 0.747043 | − | 0.829675i | ||||
\(7\) | 1.23976 | 0.468584 | 0.234292 | − | 0.972166i | \(-0.424723\pi\) | ||||
0.234292 | + | 0.972166i | \(0.424723\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | −0.468141 | + | 4.45407i | −0.156047 | + | 1.48469i | ||||
\(10\) | −1.52216 | − | 1.63800i | −0.481348 | − | 0.517981i | ||||
\(11\) | 3.00174 | − | 2.18089i | 0.905057 | − | 0.657563i | −0.0347027 | − | 0.999398i | \(-0.511048\pi\) |
0.939760 | + | 0.341835i | \(0.111048\pi\) | |||||||
\(12\) | 2.21242 | + | 1.60742i | 0.638671 | + | 0.464022i | ||||
\(13\) | −0.179770 | + | 1.71040i | −0.0498592 | + | 0.474378i | 0.940894 | + | 0.338701i | \(0.109988\pi\) |
−0.990753 | + | 0.135677i | \(0.956679\pi\) | |||||||
\(14\) | 0.129590 | + | 1.23297i | 0.0346343 | + | 0.329524i | ||||
\(15\) | 6.00060 | + | 1.17720i | 1.54935 | + | 0.303952i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | −0.807008 | − | 0.171535i | −0.195728 | − | 0.0416033i | 0.109004 | − | 0.994041i | \(-0.465234\pi\) |
−0.304733 | + | 0.952438i | \(0.598567\pi\) | |||||||
\(18\) | −4.47860 | −1.05562 | ||||||||
\(19\) | 4.35061 | − | 0.268708i | 0.998098 | − | 0.0616458i | ||||
\(20\) | 1.46992 | − | 1.68504i | 0.328683 | − | 0.376785i | ||||
\(21\) | −2.26860 | − | 2.51953i | −0.495049 | − | 0.549807i | ||||
\(22\) | 2.48271 | + | 2.75733i | 0.529315 | + | 0.587864i | ||||
\(23\) | −4.59849 | − | 2.04738i | −0.958851 | − | 0.426908i | −0.133200 | − | 0.991089i | \(-0.542525\pi\) |
−0.825651 | + | 0.564181i | \(0.809192\pi\) | |||||||
\(24\) | −1.36735 | + | 2.36832i | −0.279109 | + | 0.483432i | ||||
\(25\) | 1.39484 | − | 4.80150i | 0.278969 | − | 0.960300i | ||||
\(26\) | −1.71982 | −0.337284 | ||||||||
\(27\) | 3.27129 | − | 2.37673i | 0.629559 | − | 0.457402i | ||||
\(28\) | −1.21267 | + | 0.257760i | −0.229172 | + | 0.0487120i | ||||
\(29\) | −7.10108 | + | 1.50938i | −1.31864 | + | 0.280285i | −0.812901 | − | 0.582402i | \(-0.802113\pi\) |
−0.505737 | + | 0.862688i | \(0.668779\pi\) | |||||||
\(30\) | −0.543517 | + | 6.09078i | −0.0992321 | + | 1.11202i | ||||
\(31\) | −1.56682 | − | 4.82217i | −0.281409 | − | 0.866087i | −0.987452 | − | 0.157918i | \(-0.949522\pi\) |
0.706043 | − | 0.708169i | \(-0.250478\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −9.92497 | − | 2.10962i | −1.72772 | − | 0.367237i | ||||
\(34\) | 0.0862398 | − | 0.820517i | 0.0147900 | − | 0.140718i | ||||
\(35\) | −2.21685 | + | 1.66450i | −0.374716 | + | 0.281352i | ||||
\(36\) | −0.468141 | − | 4.45407i | −0.0780235 | − | 0.742344i | ||||
\(37\) | −4.56487 | − | 3.31657i | −0.750459 | − | 0.545241i | 0.145510 | − | 0.989357i | \(-0.453518\pi\) |
−0.895969 | + | 0.444116i | \(0.853518\pi\) | |||||||
\(38\) | 0.721998 | + | 4.29869i | 0.117124 | + | 0.697339i | ||||
\(39\) | 3.80496 | − | 2.76447i | 0.609281 | − | 0.442669i | ||||
\(40\) | 1.82945 | + | 1.28573i | 0.289262 | + | 0.203292i | ||||
\(41\) | −2.34090 | + | 1.04223i | −0.365586 | + | 0.162770i | −0.581304 | − | 0.813686i | \(-0.697457\pi\) |
0.215718 | + | 0.976456i | \(0.430791\pi\) | |||||||
\(42\) | 2.26860 | − | 2.51953i | 0.350052 | − | 0.388772i | ||||
\(43\) | −4.78728 | + | 8.29182i | −0.730054 | + | 1.26449i | 0.226806 | + | 0.973940i | \(0.427172\pi\) |
−0.956860 | + | 0.290550i | \(0.906162\pi\) | |||||||
\(44\) | −2.48271 | + | 2.75733i | −0.374282 | + | 0.415683i | ||||
\(45\) | −5.14293 | − | 8.59299i | −0.766663 | − | 1.28097i | ||||
\(46\) | 1.55549 | − | 4.78731i | 0.229345 | − | 0.705850i | ||||
\(47\) | −5.49020 | + | 1.16698i | −0.800828 | + | 0.170221i | −0.590107 | − | 0.807325i | \(-0.700914\pi\) |
−0.210721 | + | 0.977546i | \(0.567581\pi\) | |||||||
\(48\) | −2.49828 | − | 1.11230i | −0.360595 | − | 0.160547i | ||||
\(49\) | −5.46300 | −0.780429 | ||||||||
\(50\) | 4.92100 | + | 0.885310i | 0.695934 | + | 0.125202i | ||||
\(51\) | 1.12812 | + | 1.95395i | 0.157968 | + | 0.273608i | ||||
\(52\) | −0.179770 | − | 1.71040i | −0.0249296 | − | 0.237189i | ||||
\(53\) | −0.321526 | + | 0.0683425i | −0.0441650 | + | 0.00938756i | −0.229941 | − | 0.973205i | \(-0.573853\pi\) |
0.185776 | + | 0.982592i | \(0.440520\pi\) | |||||||
\(54\) | 2.70565 | + | 3.00493i | 0.368192 | + | 0.408919i | ||||
\(55\) | −2.43944 | + | 7.92985i | −0.328934 | + | 1.06926i | ||||
\(56\) | −0.383106 | − | 1.17908i | −0.0511947 | − | 0.157561i | ||||
\(57\) | −8.50715 | − | 8.34996i | −1.12680 | − | 1.10598i | ||||
\(58\) | −2.24338 | − | 6.90441i | −0.294570 | − | 0.906593i | ||||
\(59\) | 8.51516 | − | 3.79119i | 1.10858 | − | 0.493571i | 0.230977 | − | 0.972959i | \(-0.425808\pi\) |
0.877603 | + | 0.479388i | \(0.159141\pi\) | |||||||
\(60\) | −6.11423 | + | 0.0961204i | −0.789343 | + | 0.0124091i | ||||
\(61\) | 0.424774 | + | 0.189122i | 0.0543868 | + | 0.0242146i | 0.433750 | − | 0.901033i | \(-0.357190\pi\) |
−0.379363 | + | 0.925248i | \(0.623857\pi\) | |||||||
\(62\) | 4.63198 | − | 2.06229i | 0.588261 | − | 0.261911i | ||||
\(63\) | −0.580381 | + | 5.52196i | −0.0731212 | + | 0.695701i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −1.97493 | − | 3.29978i | −0.244959 | − | 0.409287i | ||||
\(66\) | 1.06062 | − | 10.0911i | 0.130553 | − | 1.24213i | ||||
\(67\) | −5.32366 | + | 5.91252i | −0.650389 | + | 0.722330i | −0.974674 | − | 0.223629i | \(-0.928209\pi\) |
0.324286 | + | 0.945959i | \(0.394876\pi\) | |||||||
\(68\) | 0.825037 | 0.100050 | ||||||||
\(69\) | 4.25380 | + | 13.0919i | 0.512098 | + | 1.57607i | ||||
\(70\) | −1.88710 | − | 2.03072i | −0.225552 | − | 0.242717i | ||||
\(71\) | −6.75973 | − | 7.50744i | −0.802233 | − | 0.890970i | 0.193701 | − | 0.981061i | \(-0.437951\pi\) |
−0.995934 | + | 0.0900909i | \(0.971284\pi\) | |||||||
\(72\) | 4.38073 | − | 0.931153i | 0.516274 | − | 0.109737i | ||||
\(73\) | −0.988536 | − | 9.40529i | −0.115699 | − | 1.10081i | −0.886180 | − | 0.463342i | \(-0.846650\pi\) |
0.770480 | − | 0.637464i | \(-0.220017\pi\) | |||||||
\(74\) | 2.82124 | − | 4.88654i | 0.327963 | − | 0.568048i | ||||
\(75\) | −12.3104 | + | 5.95142i | −1.42148 | + | 0.687211i | ||||
\(76\) | −4.19967 | + | 1.16738i | −0.481735 | + | 0.133907i | ||||
\(77\) | 3.72142 | − | 2.70377i | 0.424095 | − | 0.308123i | ||||
\(78\) | 3.14705 | + | 3.49515i | 0.356333 | + | 0.395748i | ||||
\(79\) | 1.04568 | + | 1.16134i | 0.117648 | + | 0.130661i | 0.799091 | − | 0.601209i | \(-0.205314\pi\) |
−0.681444 | + | 0.731870i | \(0.738648\pi\) | |||||||
\(80\) | −1.08746 | + | 1.95383i | −0.121581 | + | 0.218444i | ||||
\(81\) | 2.32598 | + | 0.494402i | 0.258442 | + | 0.0549335i | ||||
\(82\) | −1.28121 | − | 2.21913i | −0.141486 | − | 0.245062i | ||||
\(83\) | −4.25037 | − | 13.0813i | −0.466539 | − | 1.43586i | −0.857036 | − | 0.515256i | \(-0.827697\pi\) |
0.390497 | − | 0.920604i | \(-0.372303\pi\) | |||||||
\(84\) | 2.74286 | + | 1.99281i | 0.299271 | + | 0.217433i | ||||
\(85\) | 1.67334 | − | 0.776762i | 0.181499 | − | 0.0842517i | ||||
\(86\) | −8.74680 | − | 3.89433i | −0.943192 | − | 0.419936i | ||||
\(87\) | 16.0616 | + | 11.6694i | 1.72198 | + | 1.25109i | ||||
\(88\) | −3.00174 | − | 2.18089i | −0.319986 | − | 0.232483i | ||||
\(89\) | −6.89893 | − | 3.07160i | −0.731285 | − | 0.325589i | 0.00709430 | − | 0.999975i | \(-0.497742\pi\) |
−0.738379 | + | 0.674386i | \(0.764408\pi\) | |||||||
\(90\) | 8.00834 | − | 6.01297i | 0.844153 | − | 0.633823i | ||||
\(91\) | −0.222871 | + | 2.12047i | −0.0233632 | + | 0.222286i | ||||
\(92\) | 4.92367 | + | 1.04656i | 0.513329 | + | 0.109111i | ||||
\(93\) | −6.93292 | + | 12.0082i | −0.718910 | + | 1.24519i | ||||
\(94\) | −1.73447 | − | 5.33814i | −0.178897 | − | 0.550587i | ||||
\(95\) | −7.41870 | + | 6.32162i | −0.761143 | + | 0.648584i | ||||
\(96\) | 0.845070 | − | 2.60086i | 0.0862496 | − | 0.265449i | ||||
\(97\) | 1.44938 | + | 1.60970i | 0.147163 | + | 0.163441i | 0.812219 | − | 0.583352i | \(-0.198259\pi\) |
−0.665057 | + | 0.746793i | \(0.731593\pi\) | |||||||
\(98\) | −0.571039 | − | 5.43308i | −0.0576837 | − | 0.548824i | ||||
\(99\) | 8.30858 | + | 14.3909i | 0.835044 | + | 1.44634i | ||||
\(100\) | −0.366076 | + | 4.98658i | −0.0366076 | + | 0.498658i | ||||
\(101\) | −4.14466 | − | 7.17877i | −0.412409 | − | 0.714314i | 0.582743 | − | 0.812656i | \(-0.301979\pi\) |
−0.995153 | + | 0.0983424i | \(0.968646\pi\) | |||||||
\(102\) | −1.82533 | + | 1.32618i | −0.180734 | + | 0.131311i | ||||
\(103\) | 1.92686 | − | 5.93028i | 0.189860 | − | 0.584328i | −0.810139 | − | 0.586238i | \(-0.800608\pi\) |
0.999998 | + | 0.00191072i | \(0.000608202\pi\) | |||||||
\(104\) | 1.68223 | − | 0.357570i | 0.164957 | − | 0.0350626i | ||||
\(105\) | 7.43928 | + | 1.45944i | 0.726000 | + | 0.142427i | ||||
\(106\) | −0.101577 | − | 0.312621i | −0.00986600 | − | 0.0303644i | ||||
\(107\) | −7.51591 | −0.726591 | −0.363295 | − | 0.931674i | \(-0.618348\pi\) | ||||
−0.363295 | + | 0.931674i | \(0.618348\pi\) | |||||||
\(108\) | −2.70565 | + | 3.00493i | −0.260351 | + | 0.289150i | ||||
\(109\) | 9.42323 | − | 4.19549i | 0.902582 | − | 0.401855i | 0.0976490 | − | 0.995221i | \(-0.468868\pi\) |
0.804933 | + | 0.593365i | \(0.202201\pi\) | |||||||
\(110\) | −8.14140 | − | 1.59718i | −0.776252 | − | 0.152285i | ||||
\(111\) | 1.61293 | + | 15.3460i | 0.153092 | + | 1.45658i | ||||
\(112\) | 1.13257 | − | 0.504255i | 0.107018 | − | 0.0476476i | ||||
\(113\) | −9.75319 | − | 7.08611i | −0.917503 | − | 0.666605i | 0.0253984 | − | 0.999677i | \(-0.491915\pi\) |
−0.942901 | + | 0.333073i | \(0.891915\pi\) | |||||||
\(114\) | 7.41497 | − | 9.33336i | 0.694476 | − | 0.874149i | ||||
\(115\) | 10.9715 | − | 2.51295i | 1.02310 | − | 0.234334i | ||||
\(116\) | 6.63209 | − | 2.95280i | 0.615774 | − | 0.274160i | ||||
\(117\) | −7.53406 | − | 1.60141i | −0.696524 | − | 0.148051i | ||||
\(118\) | 4.66050 | + | 8.07223i | 0.429034 | + | 0.743109i | ||||
\(119\) | −1.00049 | − | 0.212661i | −0.0917151 | − | 0.0194946i | ||||
\(120\) | −0.734705 | − | 6.07068i | −0.0670690 | − | 0.554175i | ||||
\(121\) | 0.854953 | − | 2.63128i | 0.0777230 | − | 0.239207i | ||||
\(122\) | −0.143685 | + | 0.442216i | −0.0130086 | + | 0.0400364i | ||||
\(123\) | 6.40165 | + | 2.85020i | 0.577218 | + | 0.256994i | ||||
\(124\) | 2.53516 | + | 4.39103i | 0.227664 | + | 0.394326i | ||||
\(125\) | 3.95233 | + | 10.4584i | 0.353507 | + | 0.935432i | ||||
\(126\) | −5.55237 | −0.494645 | ||||||||
\(127\) | −14.7201 | − | 6.55382i | −1.30620 | − | 0.581558i | −0.368701 | − | 0.929548i | \(-0.620198\pi\) |
−0.937498 | + | 0.347990i | \(0.886864\pi\) | |||||||
\(128\) | −0.669131 | − | 0.743145i | −0.0591433 | − | 0.0656853i | ||||
\(129\) | 25.6114 | − | 5.44387i | 2.25496 | − | 0.479306i | ||||
\(130\) | 3.07526 | − | 2.30903i | 0.269718 | − | 0.202515i | ||||
\(131\) | 2.71719 | + | 0.577557i | 0.237402 | + | 0.0504614i | 0.325076 | − | 0.945688i | \(-0.394610\pi\) |
−0.0876740 | + | 0.996149i | \(0.527943\pi\) | |||||||
\(132\) | 10.1467 | 0.883157 | ||||||||
\(133\) | 5.39370 | − | 0.333132i | 0.467693 | − | 0.0288862i | ||||
\(134\) | −6.43661 | − | 4.67647i | −0.556038 | − | 0.403985i | ||||
\(135\) | −2.65850 | + | 8.64194i | −0.228807 | + | 0.743780i | ||||
\(136\) | 0.0862398 | + | 0.820517i | 0.00739500 | + | 0.0703588i | ||||
\(137\) | −0.893662 | + | 8.50262i | −0.0763507 | + | 0.726428i | 0.887648 | + | 0.460522i | \(0.152338\pi\) |
−0.963999 | + | 0.265906i | \(0.914329\pi\) | |||||||
\(138\) | −12.5755 | + | 5.59897i | −1.07050 | + | 0.476616i | ||||
\(139\) | 21.4942 | + | 9.56985i | 1.82312 | + | 0.811704i | 0.938368 | + | 0.345637i | \(0.112337\pi\) |
0.884749 | + | 0.466068i | \(0.154330\pi\) | |||||||
\(140\) | 1.82234 | − | 2.08903i | 0.154016 | − | 0.176556i | ||||
\(141\) | 12.4180 | + | 9.02220i | 1.04578 | + | 0.759807i | ||||
\(142\) | 6.75973 | − | 7.50744i | 0.567264 | − | 0.630011i | ||||
\(143\) | 3.19056 | + | 5.52621i | 0.266808 | + | 0.462125i | ||||
\(144\) | 1.38396 | + | 4.25940i | 0.115330 | + | 0.354950i | ||||
\(145\) | 10.6712 | − | 12.2329i | 0.886194 | − | 1.01589i | ||||
\(146\) | 9.25044 | − | 1.96624i | 0.765572 | − | 0.162727i | ||||
\(147\) | 9.99660 | + | 11.1024i | 0.824506 | + | 0.915707i | ||||
\(148\) | 5.15467 | + | 2.29501i | 0.423711 | + | 0.188648i | ||||
\(149\) | −6.89221 | + | 11.9377i | −0.564632 | + | 0.977971i | 0.432452 | + | 0.901657i | \(0.357648\pi\) |
−0.997084 | + | 0.0763137i | \(0.975685\pi\) | |||||||
\(150\) | −7.20561 | − | 11.6209i | −0.588335 | − | 0.948839i | ||||
\(151\) | −7.44223 | −0.605640 | −0.302820 | − | 0.953048i | \(-0.597928\pi\) | ||||
−0.302820 | + | 0.953048i | \(0.597928\pi\) | |||||||
\(152\) | −1.59997 | − | 4.05464i | −0.129775 | − | 0.328875i | ||||
\(153\) | 1.14182 | − | 3.51416i | 0.0923107 | − | 0.284103i | ||||
\(154\) | 3.07795 | + | 3.41841i | 0.248029 | + | 0.275464i | ||||
\(155\) | 9.27593 | + | 6.51907i | 0.745060 | + | 0.523624i | ||||
\(156\) | −3.14705 | + | 3.49515i | −0.251965 | + | 0.279836i | ||||
\(157\) | 3.13902 | − | 5.43694i | 0.250521 | − | 0.433915i | −0.713148 | − | 0.701013i | \(-0.752731\pi\) |
0.963669 | + | 0.267098i | \(0.0860647\pi\) | |||||||
\(158\) | −1.04568 | + | 1.16134i | −0.0831895 | + | 0.0923913i | ||||
\(159\) | 0.727243 | + | 0.528373i | 0.0576741 | + | 0.0419027i | ||||
\(160\) | −2.05679 | − | 0.877269i | −0.162604 | − | 0.0693542i | ||||
\(161\) | −5.70101 | − | 2.53825i | −0.449302 | − | 0.200042i | ||||
\(162\) | −0.248563 | + | 2.36491i | −0.0195289 | + | 0.185805i | ||||
\(163\) | 14.4611 | + | 10.5066i | 1.13268 | + | 0.822939i | 0.986082 | − | 0.166257i | \(-0.0531682\pi\) |
0.146596 | + | 0.989196i | \(0.453168\pi\) | |||||||
\(164\) | 2.07305 | − | 1.50616i | 0.161878 | − | 0.117611i | ||||
\(165\) | 20.5796 | − | 9.55300i | 1.60212 | − | 0.743700i | ||||
\(166\) | 12.5654 | − | 5.59446i | 0.975261 | − | 0.434214i | ||||
\(167\) | −14.2757 | + | 15.8548i | −1.10469 | + | 1.22688i | −0.132875 | + | 0.991133i | \(0.542421\pi\) |
−0.971814 | + | 0.235748i | \(0.924246\pi\) | |||||||
\(168\) | −1.69518 | + | 2.93614i | −0.130786 | + | 0.226528i | ||||
\(169\) | 9.82278 | + | 2.08790i | 0.755599 | + | 0.160607i | ||||
\(170\) | 0.947419 | + | 1.58298i | 0.0726637 | + | 0.121409i | ||||
\(171\) | −0.839856 | + | 19.5037i | −0.0642254 | + | 1.49148i | ||||
\(172\) | 2.95870 | − | 9.10595i | 0.225599 | − | 0.694322i | ||||
\(173\) | −2.03964 | − | 19.4059i | −0.155071 | − | 1.47540i | −0.744523 | − | 0.667597i | \(-0.767323\pi\) |
0.589452 | − | 0.807804i | \(-0.299344\pi\) | |||||||
\(174\) | −9.92659 | + | 17.1934i | −0.752533 | + | 1.30343i | ||||
\(175\) | 1.72927 | − | 5.95269i | 0.130720 | − | 0.449981i | ||||
\(176\) | 1.85517 | − | 3.21326i | 0.139839 | − | 0.242208i | ||||
\(177\) | −23.2864 | − | 10.3678i | −1.75032 | − | 0.779291i | ||||
\(178\) | 2.33364 | − | 7.18220i | 0.174914 | − | 0.538329i | ||||
\(179\) | −0.402601 | + | 1.23908i | −0.0300918 | + | 0.0926131i | −0.964974 | − | 0.262344i | \(-0.915505\pi\) |
0.934883 | + | 0.354957i | \(0.115505\pi\) | |||||||
\(180\) | 6.81713 | + | 7.33594i | 0.508119 | + | 0.546789i | ||||
\(181\) | −2.99339 | + | 3.32449i | −0.222497 | + | 0.247108i | −0.844050 | − | 0.536264i | \(-0.819835\pi\) |
0.621554 | + | 0.783372i | \(0.286502\pi\) | |||||||
\(182\) | −2.13215 | −0.158046 | ||||||||
\(183\) | −0.392935 | − | 1.20933i | −0.0290466 | − | 0.0893962i | ||||
\(184\) | −0.526162 | + | 5.00610i | −0.0387892 | + | 0.369054i | ||||
\(185\) | 12.6154 | − | 0.198324i | 0.927504 | − | 0.0145811i | ||||
\(186\) | −12.6671 | − | 5.63975i | −0.928795 | − | 0.413526i | ||||
\(187\) | −2.79652 | + | 1.24509i | −0.204502 | + | 0.0910501i | ||||
\(188\) | 5.12760 | − | 2.28295i | 0.373969 | − | 0.166502i | ||||
\(189\) | 4.05560 | − | 2.94657i | 0.295001 | − | 0.214331i | ||||
\(190\) | −7.06245 | − | 6.71727i | −0.512364 | − | 0.487322i | ||||
\(191\) | −0.158793 | − | 0.115370i | −0.0114899 | − | 0.00834789i | 0.582025 | − | 0.813171i | \(-0.302260\pi\) |
−0.593515 | + | 0.804823i | \(0.702260\pi\) | |||||||
\(192\) | 2.67494 | + | 0.568577i | 0.193047 | + | 0.0410335i | ||||
\(193\) | −5.01077 | + | 8.67890i | −0.360683 | + | 0.624721i | −0.988073 | − | 0.153984i | \(-0.950790\pi\) |
0.627391 | + | 0.778705i | \(0.284123\pi\) | |||||||
\(194\) | −1.44938 | + | 1.60970i | −0.104060 | + | 0.115570i | ||||
\(195\) | −3.09220 | + | 10.0518i | −0.221437 | + | 0.719823i | ||||
\(196\) | 5.34362 | − | 1.13582i | 0.381687 | − | 0.0811302i | ||||
\(197\) | 1.56316 | − | 4.81092i | 0.111371 | − | 0.342764i | −0.879802 | − | 0.475340i | \(-0.842325\pi\) |
0.991173 | + | 0.132576i | \(0.0423250\pi\) | |||||||
\(198\) | −13.4436 | + | 9.76733i | −0.955393 | + | 0.694134i | ||||
\(199\) | −8.71003 | − | 15.0862i | −0.617438 | − | 1.06943i | −0.989952 | − | 0.141407i | \(-0.954837\pi\) |
0.372514 | − | 0.928027i | \(-0.378496\pi\) | |||||||
\(200\) | −4.99753 | + | 0.157169i | −0.353379 | + | 0.0111135i | ||||
\(201\) | 21.7575 | 1.53466 | ||||||||
\(202\) | 6.70620 | − | 4.87234i | 0.471847 | − | 0.342817i | ||||
\(203\) | −8.80361 | + | 1.87127i | −0.617893 | + | 0.131337i | ||||
\(204\) | −1.50971 | − | 1.67671i | −0.105701 | − | 0.117393i | ||||
\(205\) | 2.78653 | − | 5.00654i | 0.194620 | − | 0.349672i | ||||
\(206\) | 6.09920 | + | 1.29643i | 0.424952 | + | 0.0903263i | ||||
\(207\) | 11.2719 | − | 19.5235i | 0.783451 | − | 1.35698i | ||||
\(208\) | 0.531453 | + | 1.63564i | 0.0368496 | + | 0.113411i | ||||
\(209\) | 12.4734 | − | 10.2948i | 0.862800 | − | 0.712105i | ||||
\(210\) | −0.673829 | + | 7.55108i | −0.0464986 | + | 0.521074i | ||||
\(211\) | 1.60484 | + | 15.2690i | 0.110482 | + | 1.05116i | 0.899538 | + | 0.436842i | \(0.143903\pi\) |
−0.789057 | + | 0.614320i | \(0.789430\pi\) | |||||||
\(212\) | 0.300291 | − | 0.133698i | 0.0206241 | − | 0.00918242i | ||||
\(213\) | −2.88778 | + | 27.4753i | −0.197867 | + | 1.88258i | ||||
\(214\) | −0.785627 | − | 7.47474i | −0.0537043 | − | 0.510963i | ||||
\(215\) | −2.57230 | − | 21.2543i | −0.175429 | − | 1.44953i | ||||
\(216\) | −3.27129 | − | 2.37673i | −0.222583 | − | 0.161716i | ||||
\(217\) | −1.94247 | − | 5.97832i | −0.131864 | − | 0.405835i | ||||
\(218\) | 5.15751 | + | 8.93306i | 0.349310 | + | 0.605023i | ||||
\(219\) | −17.3053 | + | 19.2195i | −1.16938 | + | 1.29873i | ||||
\(220\) | 0.737424 | − | 8.26375i | 0.0497171 | − | 0.557142i | ||||
\(221\) | 0.438468 | − | 1.34947i | 0.0294946 | − | 0.0907749i | ||||
\(222\) | −15.0933 | + | 3.20819i | −1.01300 | + | 0.215319i | ||||
\(223\) | −2.40682 | − | 22.8994i | −0.161173 | − | 1.53346i | −0.713990 | − | 0.700155i | \(-0.753114\pi\) |
0.552818 | − | 0.833302i | \(-0.313553\pi\) | |||||||
\(224\) | 0.619878 | + | 1.07366i | 0.0414174 | + | 0.0717370i | ||||
\(225\) | 20.7332 | + | 8.46051i | 1.38221 | + | 0.564034i | ||||
\(226\) | 6.02780 | − | 10.4405i | 0.400963 | − | 0.694489i | ||||
\(227\) | −9.57889 | + | 6.95947i | −0.635773 | + | 0.461916i | −0.858396 | − | 0.512988i | \(-0.828538\pi\) |
0.222622 | + | 0.974905i | \(0.428538\pi\) | |||||||
\(228\) | 10.0573 | + | 6.39875i | 0.666061 | + | 0.423768i | ||||
\(229\) | −5.19570 | + | 15.9907i | −0.343341 | + | 1.05670i | 0.619125 | + | 0.785293i | \(0.287488\pi\) |
−0.962466 | + | 0.271403i | \(0.912512\pi\) | |||||||
\(230\) | 3.64602 | + | 10.6487i | 0.240411 | + | 0.702158i | ||||
\(231\) | −12.3046 | − | 2.61541i | −0.809580 | − | 0.172082i | ||||
\(232\) | 3.62986 | + | 6.28711i | 0.238312 | + | 0.412769i | ||||
\(233\) | 4.43271 | + | 0.942201i | 0.290396 | + | 0.0617256i | 0.350806 | − | 0.936448i | \(-0.385908\pi\) |
−0.0604101 | + | 0.998174i | \(0.519241\pi\) | |||||||
\(234\) | 0.805117 | − | 7.66018i | 0.0526322 | − | 0.500762i | ||||
\(235\) | 8.25043 | − | 9.45786i | 0.538198 | − | 0.616963i | ||||
\(236\) | −7.54085 | + | 5.47875i | −0.490868 | + | 0.356636i | ||||
\(237\) | 0.446715 | − | 4.25021i | 0.0290173 | − | 0.276081i | ||||
\(238\) | 0.106916 | − | 1.01724i | 0.00693036 | − | 0.0659380i | ||||
\(239\) | −12.0020 | + | 8.71995i | −0.776344 | + | 0.564047i | −0.903879 | − | 0.427787i | \(-0.859293\pi\) |
0.127536 | + | 0.991834i | \(0.459293\pi\) | |||||||
\(240\) | 5.96063 | − | 1.36524i | 0.384757 | − | 0.0881258i | ||||
\(241\) | 2.74403 | − | 26.1077i | 0.176759 | − | 1.68175i | −0.442662 | − | 0.896688i | \(-0.645966\pi\) |
0.619421 | − | 0.785059i | \(-0.287367\pi\) | |||||||
\(242\) | 2.70623 | + | 0.575227i | 0.173963 | + | 0.0369770i | ||||
\(243\) | −9.31678 | − | 16.1371i | −0.597672 | − | 1.03520i | ||||
\(244\) | −0.454813 | − | 0.0966734i | −0.0291164 | − | 0.00618888i | ||||
\(245\) | 9.76858 | − | 7.33463i | 0.624092 | − | 0.468593i | ||||
\(246\) | −2.16543 | + | 6.66451i | −0.138063 | + | 0.424914i | ||||
\(247\) | −0.322511 | + | 7.48957i | −0.0205209 | + | 0.476550i | ||||
\(248\) | −4.10198 | + | 2.98026i | −0.260476 | + | 0.189247i | ||||
\(249\) | −18.8072 | + | 32.5751i | −1.19186 | + | 2.06436i | ||||
\(250\) | −9.98802 | + | 5.02388i | −0.631698 | + | 0.317738i | ||||
\(251\) | 2.04330 | + | 3.53909i | 0.128972 | + | 0.223386i | 0.923278 | − | 0.384131i | \(-0.125499\pi\) |
−0.794307 | + | 0.607517i | \(0.792166\pi\) | |||||||
\(252\) | −0.580381 | − | 5.52196i | −0.0365606 | − | 0.347851i | ||||
\(253\) | −18.2685 | + | 3.88310i | −1.14853 | + | 0.244128i | ||||
\(254\) | 4.97925 | − | 15.3245i | 0.312426 | − | 0.961547i | ||||
\(255\) | −4.64060 | − | 1.97932i | −0.290606 | − | 0.123950i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | −8.05646 | − | 13.9542i | −0.502548 | − | 0.870439i | −0.999996 | − | 0.00294486i | \(-0.999063\pi\) |
0.497448 | − | 0.867494i | \(-0.334271\pi\) | |||||||
\(258\) | 8.09117 | + | 24.9021i | 0.503734 | + | 1.55034i | ||||
\(259\) | −5.65932 | − | 4.11174i | −0.351653 | − | 0.255491i | ||||
\(260\) | 2.61783 | + | 2.81706i | 0.162351 | + | 0.174706i | ||||
\(261\) | −3.39858 | − | 32.3353i | −0.210367 | − | 2.00150i | ||||
\(262\) | −0.290369 | + | 2.76268i | −0.0179391 | + | 0.170679i | ||||
\(263\) | −5.55499 | + | 2.47324i | −0.342535 | + | 0.152507i | −0.570793 | − | 0.821094i | \(-0.693364\pi\) |
0.228257 | + | 0.973601i | \(0.426697\pi\) | |||||||
\(264\) | 1.06062 | + | 10.0911i | 0.0652766 | + | 0.621065i | ||||
\(265\) | 0.483175 | − | 0.553887i | 0.0296812 | − | 0.0340250i | ||||
\(266\) | 0.895102 | + | 5.32933i | 0.0548822 | + | 0.326762i | ||||
\(267\) | 6.38181 | + | 19.6412i | 0.390560 | + | 1.20202i | ||||
\(268\) | 3.97804 | − | 6.89017i | 0.242998 | − | 0.420884i | ||||
\(269\) | −11.0994 | − | 2.35924i | −0.676740 | − | 0.143845i | −0.143295 | − | 0.989680i | \(-0.545770\pi\) |
−0.533445 | + | 0.845835i | \(0.679103\pi\) | |||||||
\(270\) | −8.87249 | − | 1.74061i | −0.539962 | − | 0.105930i | ||||
\(271\) | 11.4123 | + | 12.6746i | 0.693245 | + | 0.769927i | 0.982286 | − | 0.187390i | \(-0.0600028\pi\) |
−0.289040 | + | 0.957317i | \(0.593336\pi\) | |||||||
\(272\) | −0.807008 | + | 0.171535i | −0.0489320 | + | 0.0104008i | ||||
\(273\) | 4.71722 | − | 3.42726i | 0.285499 | − | 0.207427i | ||||
\(274\) | −8.54946 | −0.516492 | ||||||||
\(275\) | −6.28458 | − | 17.4548i | −0.378975 | − | 1.05257i | ||||
\(276\) | −6.88280 | − | 11.9214i | −0.414296 | − | 0.717581i | ||||
\(277\) | 24.7402 | − | 17.9748i | 1.48649 | − | 1.08000i | 0.511103 | − | 0.859519i | \(-0.329237\pi\) |
0.975391 | − | 0.220482i | \(-0.0707631\pi\) | |||||||
\(278\) | −7.27067 | + | 22.3768i | −0.436066 | + | 1.34207i | ||||
\(279\) | 22.2117 | − | 4.72125i | 1.32978 | − | 0.282654i | ||||
\(280\) | 2.26808 | + | 1.59399i | 0.135544 | + | 0.0952593i | ||||
\(281\) | −7.19924 | + | 7.99556i | −0.429471 | + | 0.476975i | −0.918573 | − | 0.395251i | \(-0.870658\pi\) |
0.489103 | + | 0.872226i | \(0.337324\pi\) | |||||||
\(282\) | −7.67475 | + | 13.2930i | −0.457024 | + | 0.791590i | ||||
\(283\) | 29.3443 | + | 6.23732i | 1.74434 | + | 0.370770i | 0.966294 | − | 0.257442i | \(-0.0828796\pi\) |
0.778042 | + | 0.628212i | \(0.216213\pi\) | |||||||
\(284\) | 8.17290 | + | 5.93796i | 0.484973 | + | 0.352353i | ||||
\(285\) | 26.4226 | + | 3.50912i | 1.56514 | + | 0.207863i | ||||
\(286\) | −5.16244 | + | 3.75073i | −0.305261 | + | 0.221785i | ||||
\(287\) | −2.90214 | + | 1.29212i | −0.171308 | + | 0.0762712i | ||||
\(288\) | −4.09140 | + | 1.82161i | −0.241088 | + | 0.107339i | ||||
\(289\) | −14.9084 | − | 6.63766i | −0.876967 | − | 0.390451i | ||||
\(290\) | 13.2813 | + | 9.33404i | 0.779906 | + | 0.548114i | ||||
\(291\) | 0.619180 | − | 5.89110i | 0.0362970 | − | 0.345343i | ||||
\(292\) | 2.92240 | + | 8.99423i | 0.171021 | + | 0.526348i | ||||
\(293\) | 7.51394 | 0.438969 | 0.219485 | − | 0.975616i | \(-0.429562\pi\) | ||||
0.219485 | + | 0.975616i | \(0.429562\pi\) | |||||||
\(294\) | −9.99660 | + | 11.1024i | −0.583014 | + | 0.647502i | ||||
\(295\) | −10.1362 | + | 18.2116i | −0.590152 | + | 1.06032i | ||||
\(296\) | −1.74362 | + | 5.36632i | −0.101346 | + | 0.311911i | ||||
\(297\) | 4.63616 | − | 14.2686i | 0.269017 | − | 0.827949i | ||||
\(298\) | −12.5927 | − | 5.60663i | −0.729475 | − | 0.324783i | ||||
\(299\) | 4.32850 | − | 7.49718i | 0.250323 | − | 0.433573i | ||||
\(300\) | 10.8040 | − | 8.38084i | 0.623769 | − | 0.483868i | ||||
\(301\) | −5.93506 | + | 10.2798i | −0.342091 | + | 0.592520i | ||||
\(302\) | −0.777925 | − | 7.40147i | −0.0447646 | − | 0.425906i | ||||
\(303\) | −7.00506 | + | 21.5593i | −0.402430 | + | 1.23855i | ||||
\(304\) | 3.86519 | − | 2.01503i | 0.221684 | − | 0.115570i | ||||
\(305\) | −1.01347 | + | 0.232128i | −0.0580310 | + | 0.0132916i | ||||
\(306\) | 3.61426 | + | 0.768236i | 0.206614 | + | 0.0439171i | ||||
\(307\) | −3.68386 | + | 6.38064i | −0.210249 | + | 0.364162i | −0.951792 | − | 0.306743i | \(-0.900761\pi\) |
0.741543 | + | 0.670905i | \(0.234094\pi\) | |||||||
\(308\) | −3.07795 | + | 3.41841i | −0.175383 | + | 0.194782i | ||||
\(309\) | −15.5779 | + | 6.93573i | −0.886196 | + | 0.394560i | ||||
\(310\) | −5.51376 | + | 9.90654i | −0.313161 | + | 0.562654i | ||||
\(311\) | 1.04383 | − | 0.758384i | 0.0591900 | − | 0.0430040i | −0.557797 | − | 0.829978i | \(-0.688353\pi\) |
0.616987 | + | 0.786973i | \(0.288353\pi\) | |||||||
\(312\) | −3.80496 | − | 2.76447i | −0.215413 | − | 0.156507i | ||||
\(313\) | −2.08198 | + | 19.8087i | −0.117680 | + | 1.11965i | 0.763150 | + | 0.646221i | \(0.223652\pi\) |
−0.880831 | + | 0.473432i | \(0.843015\pi\) | |||||||
\(314\) | 5.73528 | + | 2.55351i | 0.323660 | + | 0.144103i | ||||
\(315\) | −6.37599 | − | 10.6532i | −0.359246 | − | 0.600241i | ||||
\(316\) | −1.26428 | − | 0.918554i | −0.0711214 | − | 0.0516727i | ||||
\(317\) | −19.5411 | + | 21.7026i | −1.09754 | + | 1.21894i | −0.123552 | + | 0.992338i | \(0.539429\pi\) |
−0.973987 | + | 0.226603i | \(0.927238\pi\) | |||||||
\(318\) | −0.449461 | + | 0.778489i | −0.0252045 | + | 0.0436555i | ||||
\(319\) | −18.0238 | + | 20.0174i | −1.00914 | + | 1.12076i | ||||
\(320\) | 0.657470 | − | 2.13723i | 0.0367537 | − | 0.119475i | ||||
\(321\) | 13.7532 | + | 15.2744i | 0.767627 | + | 0.852536i | ||||
\(322\) | 1.92843 | − | 5.93510i | 0.107467 | − | 0.330750i | ||||
\(323\) | −3.55707 | − | 0.529431i | −0.197921 | − | 0.0294583i | ||||
\(324\) | −2.37794 | −0.132108 | ||||||||
\(325\) | 7.96172 | + | 3.24890i | 0.441636 | + | 0.180217i | ||||
\(326\) | −8.93743 | + | 15.4801i | −0.494999 | + | 0.857363i | ||||
\(327\) | −25.7697 | − | 11.4734i | −1.42507 | − | 0.634482i | ||||
\(328\) | 1.71460 | + | 1.90426i | 0.0946729 | + | 0.105145i | ||||
\(329\) | −6.80651 | + | 1.44677i | −0.375255 | + | 0.0797630i | ||||
\(330\) | 11.6518 | + | 19.4683i | 0.641411 | + | 1.07169i | ||||
\(331\) | 4.36345 | + | 13.4293i | 0.239837 | + | 0.738142i | 0.996443 | + | 0.0842710i | \(0.0268562\pi\) |
−0.756606 | + | 0.653871i | \(0.773144\pi\) | |||||||
\(332\) | 6.87725 | + | 11.9117i | 0.377438 | + | 0.653742i | ||||
\(333\) | 16.9092 | − | 18.7796i | 0.926620 | − | 1.02912i | ||||
\(334\) | −17.2602 | − | 12.5402i | −0.944434 | − | 0.686172i | ||||
\(335\) | 1.58126 | − | 17.7199i | 0.0863933 | − | 0.968144i | ||||
\(336\) | −3.09725 | − | 1.37899i | −0.168969 | − | 0.0752299i | ||||
\(337\) | −11.2629 | + | 5.01455i | −0.613527 | + | 0.273160i | −0.689883 | − | 0.723921i | \(-0.742338\pi\) |
0.0763561 | + | 0.997081i | \(0.475671\pi\) | |||||||
\(338\) | −1.04970 | + | 9.98722i | −0.0570961 | + | 0.543233i | ||||
\(339\) | 3.44615 | + | 32.7879i | 0.187169 | + | 1.78079i | ||||
\(340\) | −1.47528 | + | 1.10770i | −0.0800081 | + | 0.0600732i | ||||
\(341\) | −15.2198 | − | 11.0578i | −0.824197 | − | 0.598814i | ||||
\(342\) | −19.4846 | + | 1.20344i | −1.05361 | + | 0.0650743i | ||||
\(343\) | −15.4511 | −0.834281 | ||||||||
\(344\) | 9.36534 | + | 1.99066i | 0.504945 | + | 0.107329i | ||||
\(345\) | −25.1835 | − | 17.6988i | −1.35583 | − | 0.952873i | ||||
\(346\) | 19.0864 | − | 4.05693i | 1.02609 | − | 0.218102i | ||||
\(347\) | 2.85643 | + | 3.17239i | 0.153341 | + | 0.170303i | 0.814921 | − | 0.579572i | \(-0.196780\pi\) |
−0.661580 | + | 0.749875i | \(0.730114\pi\) | |||||||
\(348\) | −18.1368 | − | 8.07502i | −0.972234 | − | 0.432866i | ||||
\(349\) | −33.4295 | −1.78944 | −0.894720 | − | 0.446628i | \(-0.852625\pi\) | ||||
−0.894720 | + | 0.446628i | \(0.852625\pi\) | |||||||
\(350\) | 6.10084 | + | 1.09757i | 0.326104 | + | 0.0586676i | ||||
\(351\) | 3.47707 | + | 6.02246i | 0.185592 | + | 0.321455i | ||||
\(352\) | 3.38957 | + | 1.50913i | 0.180665 | + | 0.0804372i | ||||
\(353\) | 7.86460 | − | 24.2047i | 0.418590 | − | 1.28829i | −0.490410 | − | 0.871492i | \(-0.663153\pi\) |
0.909000 | − | 0.416796i | \(-0.136847\pi\) | |||||||
\(354\) | 7.87690 | − | 24.2426i | 0.418652 | − | 1.28848i | ||||
\(355\) | 22.1668 | + | 4.34869i | 1.17649 | + | 0.230805i | ||||
\(356\) | 7.38679 | + | 1.57011i | 0.391499 | + | 0.0832157i | ||||
\(357\) | 1.39859 | + | 2.42243i | 0.0740212 | + | 0.128208i | ||||
\(358\) | −1.27437 | − | 0.270877i | −0.0673528 | − | 0.0143163i | ||||
\(359\) | 15.8182 | − | 7.04272i | 0.834853 | − | 0.371701i | 0.0556333 | − | 0.998451i | \(-0.482282\pi\) |
0.779220 | + | 0.626751i | \(0.215616\pi\) | |||||||
\(360\) | −6.58317 | + | 7.54660i | −0.346963 | + | 0.397741i | ||||
\(361\) | 18.8556 | − | 2.33809i | 0.992400 | − | 0.123057i | ||||
\(362\) | −3.61918 | − | 2.62949i | −0.190220 | − | 0.138203i | ||||
\(363\) | −6.91195 | + | 3.07740i | −0.362783 | + | 0.161521i | ||||
\(364\) | −0.222871 | − | 2.12047i | −0.0116816 | − | 0.111143i | ||||
\(365\) | 14.3952 | + | 15.4907i | 0.753478 | + | 0.810821i | ||||
\(366\) | 1.16163 | − | 0.517192i | 0.0607195 | − | 0.0270340i | ||||
\(367\) | 11.0715 | − | 12.2961i | 0.577926 | − | 0.641852i | −0.381314 | − | 0.924446i | \(-0.624528\pi\) |
0.959240 | + | 0.282594i | \(0.0911949\pi\) | |||||||
\(368\) | −5.03367 | −0.262398 | ||||||||
\(369\) | −3.54631 | − | 10.9144i | −0.184613 | − | 0.568182i | ||||
\(370\) | 1.51591 | + | 12.5256i | 0.0788083 | + | 0.651174i | ||||
\(371\) | −0.398614 | + | 0.0847281i | −0.0206950 | + | 0.00439886i | ||||
\(372\) | 4.28478 | − | 13.1872i | 0.222156 | − | 0.683724i | ||||
\(373\) | 3.12423 | − | 2.26988i | 0.161766 | − | 0.117530i | −0.503957 | − | 0.863729i | \(-0.668123\pi\) |
0.665723 | + | 0.746199i | \(0.268123\pi\) | |||||||
\(374\) | −1.53059 | − | 2.65105i | −0.0791448 | − | 0.137083i | ||||
\(375\) | 14.0222 | − | 27.1699i | 0.724105 | − | 1.40305i | ||||
\(376\) | 2.80643 | + | 4.86087i | 0.144730 | + | 0.250680i | ||||
\(377\) | −1.30508 | − | 12.4170i | −0.0672150 | − | 0.639508i | ||||
\(378\) | 3.35435 | + | 3.72538i | 0.172529 | + | 0.191613i | ||||
\(379\) | 8.36352 | − | 25.7403i | 0.429605 | − | 1.32219i | −0.468910 | − | 0.883246i | \(-0.655353\pi\) |
0.898515 | − | 0.438943i | \(-0.144647\pi\) | |||||||
\(380\) | 5.94225 | − | 7.72591i | 0.304831 | − | 0.396331i | ||||
\(381\) | 13.6168 | + | 41.9081i | 0.697608 | + | 2.14702i | ||||
\(382\) | 0.0981397 | − | 0.169983i | 0.00502126 | − | 0.00869708i | ||||
\(383\) | 6.70857 | + | 1.42595i | 0.342792 | + | 0.0728627i | 0.376091 | − | 0.926583i | \(-0.377268\pi\) |
−0.0332990 | + | 0.999445i | \(0.510601\pi\) | |||||||
\(384\) | −0.285854 | + | 2.71972i | −0.0145874 | + | 0.138790i | ||||
\(385\) | −3.02431 | + | 9.83109i | −0.154133 | + | 0.501039i | ||||
\(386\) | −9.15513 | − | 4.07612i | −0.465984 | − | 0.207469i | ||||
\(387\) | −34.6912 | − | 25.2046i | −1.76345 | − | 1.28122i | ||||
\(388\) | −1.75239 | − | 1.27318i | −0.0889639 | − | 0.0646361i | ||||
\(389\) | 3.36002 | + | 1.49598i | 0.170360 | + | 0.0758491i | 0.490145 | − | 0.871641i | \(-0.336944\pi\) |
−0.319785 | + | 0.947490i | \(0.603611\pi\) | |||||||
\(390\) | −10.3199 | − | 2.02457i | −0.522570 | − | 0.102518i | ||||
\(391\) | 3.35982 | + | 2.44105i | 0.169913 | + | 0.123449i | ||||
\(392\) | 1.68816 | + | 5.19562i | 0.0852650 | + | 0.262419i | ||||
\(393\) | −3.79836 | − | 6.57895i | −0.191602 | − | 0.331864i | ||||
\(394\) | 4.94796 | + | 1.05172i | 0.249275 | + | 0.0529849i | ||||
\(395\) | −3.42902 | − | 0.672707i | −0.172533 | − | 0.0338475i | ||||
\(396\) | −11.1191 | − | 12.3490i | −0.558754 | − | 0.620559i | ||||
\(397\) | −6.60146 | − | 7.33167i | −0.331318 | − | 0.367966i | 0.554351 | − | 0.832283i | \(-0.312966\pi\) |
−0.885669 | + | 0.464317i | \(0.846300\pi\) | |||||||
\(398\) | 14.0931 | − | 10.2393i | 0.706424 | − | 0.513247i | ||||
\(399\) | −10.5468 | − | 10.3519i | −0.528000 | − | 0.518244i | ||||
\(400\) | −0.678692 | − | 4.95372i | −0.0339346 | − | 0.247686i | ||||
\(401\) | 3.01219 | − | 5.21727i | 0.150422 | − | 0.260538i | −0.780961 | − | 0.624580i | \(-0.785270\pi\) |
0.931383 | + | 0.364042i | \(0.118604\pi\) | |||||||
\(402\) | 2.27428 | + | 21.6383i | 0.113431 | + | 1.07922i | ||||
\(403\) | 8.52948 | − | 1.81300i | 0.424884 | − | 0.0903118i | ||||
\(404\) | 5.54664 | + | 6.16017i | 0.275956 | + | 0.306480i | ||||
\(405\) | −4.82294 | + | 2.23880i | −0.239654 | + | 0.111247i | ||||
\(406\) | −2.78124 | − | 8.55979i | −0.138031 | − | 0.424815i | ||||
\(407\) | −20.9356 | −1.03774 | ||||||||
\(408\) | 1.50971 | − | 1.67671i | 0.0747419 | − | 0.0830093i | ||||
\(409\) | −0.0889281 | + | 0.846094i | −0.00439721 | + | 0.0418367i | −0.996500 | − | 0.0835870i | \(-0.973362\pi\) |
0.992103 | + | 0.125424i | \(0.0400290\pi\) | |||||||
\(410\) | 5.27039 | + | 2.24794i | 0.260286 | + | 0.111018i | ||||
\(411\) | 18.9150 | − | 13.7426i | 0.933008 | − | 0.677870i | ||||
\(412\) | −0.651783 | + | 6.20130i | −0.0321111 | + | 0.305516i | ||||
\(413\) | 10.5567 | − | 4.70016i | 0.519463 | − | 0.231280i | ||||
\(414\) | 20.5948 | + | 9.16939i | 1.01218 | + | 0.450651i | ||||
\(415\) | 25.1632 | + | 17.6846i | 1.23521 | + | 0.868101i | ||||
\(416\) | −1.57113 | + | 0.699513i | −0.0770310 | + | 0.0342964i | ||||
\(417\) | −19.8831 | − | 61.1939i | −0.973680 | − | 2.99668i | ||||
\(418\) | 11.5422 | + | 11.3289i | 0.564548 | + | 0.554116i | ||||
\(419\) | 2.07661 | + | 6.39113i | 0.101449 | + | 0.312227i | 0.988881 | − | 0.148712i | \(-0.0475127\pi\) |
−0.887432 | + | 0.460939i | \(0.847513\pi\) | |||||||
\(420\) | −7.58015 | + | 0.119166i | −0.369874 | + | 0.00581470i | ||||
\(421\) | −12.1774 | − | 13.5244i | −0.593491 | − | 0.659139i | 0.369323 | − | 0.929301i | \(-0.379589\pi\) |
−0.962815 | + | 0.270162i | \(0.912923\pi\) | |||||||
\(422\) | −15.0176 | + | 3.19209i | −0.731046 | + | 0.155389i | ||||
\(423\) | −2.62761 | − | 25.0000i | −0.127759 | − | 1.21554i | ||||
\(424\) | 0.164355 | + | 0.284671i | 0.00798176 | + | 0.0138248i | ||||
\(425\) | −1.94927 | + | 3.63558i | −0.0945537 | + | 0.176352i | ||||
\(426\) | −27.6267 | −1.33852 | ||||||||
\(427\) | 0.526617 | + | 0.234465i | 0.0254848 | + | 0.0113466i | ||||
\(428\) | 7.35167 | − | 1.56265i | 0.355356 | − | 0.0755334i | ||||
\(429\) | 5.39249 | − | 16.5964i | 0.260352 | − | 0.801281i | ||||
\(430\) | 20.8690 | − | 4.77989i | 1.00639 | − | 0.230507i | ||||
\(431\) | 25.8442 | − | 28.7029i | 1.24487 | − | 1.38257i | 0.349691 | − | 0.936865i | \(-0.386287\pi\) |
0.895180 | − | 0.445704i | \(-0.147047\pi\) | |||||||
\(432\) | 2.02177 | − | 3.50180i | 0.0972723 | − | 0.168481i | ||||
\(433\) | 15.0277 | − | 16.6899i | 0.722184 | − | 0.802067i | −0.264557 | − | 0.964370i | \(-0.585226\pi\) |
0.986741 | + | 0.162303i | \(0.0518923\pi\) | |||||||
\(434\) | 5.74252 | − | 2.55674i | 0.275650 | − | 0.122727i | ||||
\(435\) | −44.3876 | + | 0.697808i | −2.12822 | + | 0.0334573i | ||||
\(436\) | −8.34502 | + | 6.06301i | −0.399654 | + | 0.290366i | ||||
\(437\) | −20.5564 | − | 7.67169i | −0.983345 | − | 0.366987i | ||||
\(438\) | −20.9231 | − | 15.2015i | −0.999743 | − | 0.726356i | ||||
\(439\) | −2.16894 | − | 20.6361i | −0.103518 | − | 0.984906i | −0.915798 | − | 0.401639i | \(-0.868441\pi\) |
0.812280 | − | 0.583267i | \(-0.198226\pi\) | |||||||
\(440\) | 8.29557 | − | 0.130413i | 0.395476 | − | 0.00621719i | ||||
\(441\) | 2.55746 | − | 24.3326i | 0.121784 | − | 1.15869i | ||||
\(442\) | 1.38791 | + | 0.295008i | 0.0660159 | + | 0.0140321i | ||||
\(443\) | 2.61827 | + | 4.53498i | 0.124398 | + | 0.215464i | 0.921497 | − | 0.388384i | \(-0.126967\pi\) |
−0.797099 | + | 0.603848i | \(0.793633\pi\) | |||||||
\(444\) | −4.76829 | − | 14.6753i | −0.226293 | − | 0.696459i | ||||
\(445\) | 16.4601 | − | 3.77007i | 0.780285 | − | 0.178719i | ||||
\(446\) | 22.5224 | − | 4.78728i | 1.06647 | − | 0.226684i | ||||
\(447\) | 36.8725 | − | 7.83750i | 1.74401 | − | 0.370701i | ||||
\(448\) | −1.00298 | + | 0.728711i | −0.0473866 | + | 0.0344283i | ||||
\(449\) | 13.9420 | 0.657962 | 0.328981 | − | 0.944337i | \(-0.393295\pi\) | ||||
0.328981 | + | 0.944337i | \(0.393295\pi\) | |||||||
\(450\) | −6.24695 | + | 21.5040i | −0.294484 | + | 1.01371i | ||||
\(451\) | −4.75375 | + | 8.23374i | −0.223845 | + | 0.387712i | ||||
\(452\) | 11.0133 | + | 4.90346i | 0.518024 | + | 0.230639i | ||||
\(453\) | 13.6183 | + | 15.1247i | 0.639846 | + | 0.710621i | ||||
\(454\) | −7.92262 | − | 8.79896i | −0.371827 | − | 0.412955i | ||||
\(455\) | −2.44843 | − | 4.09092i | −0.114784 | − | 0.191785i | ||||
\(456\) | −5.31242 | + | 10.6711i | −0.248777 | + | 0.499718i | ||||
\(457\) | 14.3816 | 0.672743 | 0.336371 | − | 0.941729i | \(-0.390800\pi\) | ||||
0.336371 | + | 0.941729i | \(0.390800\pi\) | |||||||
\(458\) | −16.4462 | − | 3.49575i | −0.768481 | − | 0.163346i | ||||
\(459\) | −3.04764 | + | 1.35690i | −0.142252 | + | 0.0633346i | ||||
\(460\) | −10.2093 | + | 4.73914i | −0.476011 | + | 0.220964i | ||||
\(461\) | −3.33075 | − | 31.6900i | −0.155128 | − | 1.47595i | −0.744249 | − | 0.667903i | \(-0.767192\pi\) |
0.589120 | − | 0.808045i | \(-0.299474\pi\) | |||||||
\(462\) | 1.31491 | − | 12.5105i | 0.0611751 | − | 0.582043i | ||||
\(463\) | 9.60210 | + | 6.97633i | 0.446247 | + | 0.324218i | 0.788112 | − | 0.615531i | \(-0.211059\pi\) |
−0.341865 | + | 0.939749i | \(0.611059\pi\) | |||||||
\(464\) | −5.87324 | + | 4.26716i | −0.272658 | + | 0.198098i | ||||
\(465\) | −3.72519 | − | 30.7804i | −0.172752 | − | 1.42741i | ||||
\(466\) | −0.473696 | + | 4.50691i | −0.0219435 | + | 0.208779i | ||||
\(467\) | 0.683935 | + | 2.10494i | 0.0316487 | + | 0.0974048i | 0.965633 | − | 0.259909i | \(-0.0836926\pi\) |
−0.933984 | + | 0.357314i | \(0.883693\pi\) | |||||||
\(468\) | 7.70237 | 0.356042 | ||||||||
\(469\) | −6.60004 | + | 7.33009i | −0.304762 | + | 0.338472i | ||||
\(470\) | 10.2685 | + | 7.21661i | 0.473649 | + | 0.332878i | ||||
\(471\) | −16.7934 | + | 3.56955i | −0.773799 | + | 0.164476i | ||||
\(472\) | −6.23697 | − | 6.92686i | −0.287080 | − | 0.318834i | ||||
\(473\) | 3.71337 | + | 35.3304i | 0.170741 | + | 1.62449i | ||||
\(474\) | 4.27362 | 0.196294 | ||||||||
\(475\) | 4.77822 | − | 21.2643i | 0.219240 | − | 0.975671i | ||||
\(476\) | 1.02284 | 0.0468820 | ||||||||
\(477\) | −0.153882 | − | 1.46409i | −0.00704579 | − | 0.0670362i | ||||
\(478\) | −9.92673 | − | 11.0248i | −0.454038 | − | 0.504260i | ||||
\(479\) | 0.549702 | − | 0.116843i | 0.0251165 | − | 0.00533868i | −0.195336 | − | 0.980736i | \(-0.562580\pi\) |
0.220453 | + | 0.975398i | \(0.429246\pi\) | |||||||
\(480\) | 1.98082 | + | 5.78527i | 0.0904115 | + | 0.264060i | ||||
\(481\) | 6.49327 | − | 7.21151i | 0.296068 | − | 0.328817i | ||||
\(482\) | 26.2515 | 1.19573 | ||||||||
\(483\) | 5.27368 | + | 16.2307i | 0.239961 | + | 0.738524i | ||||
\(484\) | −0.289198 | + | 2.75153i | −0.0131453 | + | 0.125070i | ||||
\(485\) | −4.75288 | − | 0.932421i | −0.215817 | − | 0.0423390i | ||||
\(486\) | 15.0749 | − | 10.9525i | 0.683810 | − | 0.496817i | ||||
\(487\) | −22.6548 | − | 16.4596i | −1.02658 | − | 0.745858i | −0.0589627 | − | 0.998260i | \(-0.518779\pi\) |
−0.967622 | + | 0.252403i | \(0.918779\pi\) | |||||||
\(488\) | 0.0486030 | − | 0.462426i | 0.00220015 | − | 0.0209331i | ||||
\(489\) | −5.10961 | − | 48.6147i | −0.231064 | − | 2.19843i | ||||
\(490\) | 8.31555 | + | 8.94839i | 0.375658 | + | 0.404247i | ||||
\(491\) | −27.8339 | + | 12.3924i | −1.25613 | + | 0.559263i | −0.923429 | − | 0.383770i | \(-0.874625\pi\) |
−0.332697 | + | 0.943034i | \(0.607959\pi\) | |||||||
\(492\) | −6.85435 | − | 1.45694i | −0.309018 | − | 0.0656838i | ||||
\(493\) | 5.98954 | 0.269755 | ||||||||
\(494\) | −7.48225 | + | 0.462128i | −0.336642 | + | 0.0207921i | ||||
\(495\) | −34.1781 | − | 14.5777i | −1.53619 | − | 0.655220i | ||||
\(496\) | −3.39271 | − | 3.76799i | −0.152337 | − | 0.169188i | ||||
\(497\) | −8.38043 | − | 9.30741i | −0.375913 | − | 0.417494i | ||||
\(498\) | −34.3625 | − | 15.2992i | −1.53982 | − | 0.685573i | ||||
\(499\) | −15.8357 | + | 27.4282i | −0.708902 | + | 1.22786i | 0.256362 | + | 0.966581i | \(0.417476\pi\) |
−0.965265 | + | 0.261274i | \(0.915857\pi\) | |||||||
\(500\) | −6.04040 | − | 9.40817i | −0.270135 | − | 0.420746i | ||||
\(501\) | 58.3442 | 2.60663 | ||||||||
\(502\) | −3.30612 | + | 2.40204i | −0.147560 | + | 0.107208i | ||||
\(503\) | 28.6643 | − | 6.09279i | 1.27808 | − | 0.271664i | 0.481632 | − | 0.876373i | \(-0.340044\pi\) |
0.796446 | + | 0.604709i | \(0.206711\pi\) | |||||||
\(504\) | 5.43104 | − | 1.15440i | 0.241918 | − | 0.0514212i | ||||
\(505\) | 17.0494 | + | 7.27197i | 0.758690 | + | 0.323598i | ||||
\(506\) | −5.77141 | − | 17.7626i | −0.256571 | − | 0.789643i | ||||
\(507\) | −13.7313 | − | 23.7832i | −0.609827 | − | 1.05625i | ||||
\(508\) | 15.7611 | + | 3.35012i | 0.699284 | + | 0.148637i | ||||
\(509\) | −3.46259 | + | 32.9444i | −0.153477 | + | 1.46023i | 0.598542 | + | 0.801092i | \(0.295747\pi\) |
−0.752019 | + | 0.659142i | \(0.770920\pi\) | |||||||
\(510\) | 1.48340 | − | 4.82207i | 0.0656862 | − | 0.213525i | ||||
\(511\) | −1.22554 | − | 11.6603i | −0.0542149 | − | 0.515820i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 13.5934 | − | 11.2192i | 0.600165 | − | 0.495341i | ||||
\(514\) | 13.0356 | − | 9.47094i | 0.574977 | − | 0.417745i | ||||
\(515\) | 4.51651 | + | 13.1911i | 0.199021 | + | 0.581271i | ||||
\(516\) | −23.9199 | + | 10.6498i | −1.05301 | + | 0.468832i | ||||
\(517\) | −13.9351 | + | 15.4765i | −0.612864 | + | 0.680654i | ||||
\(518\) | 3.49765 | − | 6.05812i | 0.153678 | − | 0.266178i | ||||
\(519\) | −35.7059 | + | 39.6554i | −1.56731 | + | 1.74068i | ||||
\(520\) | −2.52799 | + | 2.89795i | −0.110860 | + | 0.127084i | ||||
\(521\) | −2.65621 | + | 8.17497i | −0.116371 | + | 0.358152i | −0.992230 | − | 0.124414i | \(-0.960295\pi\) |
0.875860 | + | 0.482566i | \(0.160295\pi\) | |||||||
\(522\) | 31.8029 | − | 6.75992i | 1.39198 | − | 0.295873i | ||||
\(523\) | 25.2722 | + | 11.2519i | 1.10508 | + | 0.492011i | 0.876445 | − | 0.481502i | \(-0.159909\pi\) |
0.228630 | + | 0.973513i | \(0.426575\pi\) | |||||||
\(524\) | −2.77790 | −0.121353 | ||||||||
\(525\) | −15.2619 | + | 7.37832i | −0.666083 | + | 0.322016i | ||||
\(526\) | −3.04035 | − | 5.26604i | −0.132565 | − | 0.229610i | ||||
\(527\) | 0.437264 | + | 4.16029i | 0.0190475 | + | 0.181225i | ||||
\(528\) | −9.92497 | + | 2.10962i | −0.431929 | + | 0.0918093i | ||||
\(529\) | 1.56433 | + | 1.73736i | 0.0680144 | + | 0.0755376i | ||||
\(530\) | 0.601358 | + | 0.422631i | 0.0261213 | + | 0.0183579i | ||||
\(531\) | 12.8999 | + | 39.7019i | 0.559809 | + | 1.72292i | ||||
\(532\) | −5.20657 | + | 1.44727i | −0.225733 | + | 0.0627469i | ||||
\(533\) | −1.36181 | − | 4.19122i | −0.0589865 | − | 0.181542i | ||||
\(534\) | −18.8665 | + | 8.39991i | −0.816434 | + | 0.363500i | ||||
\(535\) | 13.4395 | − | 10.0909i | 0.581038 | − | 0.436266i | ||||
\(536\) | 7.26825 | + | 3.23603i | 0.313940 | + | 0.139775i | ||||
\(537\) | 3.25486 | − | 1.44916i | 0.140458 | − | 0.0625358i | ||||
\(538\) | 1.18612 | − | 11.2852i | 0.0511372 | − | 0.486538i | ||||
\(539\) | −16.3985 | + | 11.9142i | −0.706333 | + | 0.513181i | ||||
\(540\) | 0.803644 | − | 9.00583i | 0.0345833 | − | 0.387549i | ||||
\(541\) | 3.41551 | − | 32.4965i | 0.146844 | − | 1.39713i | −0.634448 | − | 0.772966i | \(-0.718772\pi\) |
0.781292 | − | 0.624166i | \(-0.214561\pi\) | |||||||
\(542\) | −11.4123 | + | 12.6746i | −0.490199 | + | 0.544421i | ||||
\(543\) | 12.2338 | 0.525004 | ||||||||
\(544\) | −0.254950 | − | 0.784657i | −0.0109309 | − | 0.0336419i | ||||
\(545\) | −11.2171 | + | 20.1537i | −0.480489 | + | 0.863292i | ||||
\(546\) | 3.90157 | + | 4.33314i | 0.166972 | + | 0.185441i | ||||
\(547\) | 39.7407 | − | 8.44714i | 1.69919 | − | 0.361174i | 0.746562 | − | 0.665315i | \(-0.231703\pi\) |
0.952627 | + | 0.304142i | \(0.0983696\pi\) | |||||||
\(548\) | −0.893662 | − | 8.50262i | −0.0381753 | − | 0.363214i | ||||
\(549\) | −1.04121 | + | 1.80344i | −0.0444380 | + | 0.0769688i | ||||
\(550\) | 16.7023 | − | 8.07468i | 0.712188 | − | 0.344306i | ||||
\(551\) | −30.4884 | + | 8.47485i | −1.29885 | + | 0.361041i | ||||
\(552\) | 11.1366 | − | 8.09122i | 0.474005 | − | 0.344385i | ||||
\(553\) | 1.29638 | + | 1.43978i | 0.0551278 | + | 0.0612256i | ||||
\(554\) | 20.4624 | + | 22.7258i | 0.869364 | + | 0.965526i | ||||
\(555\) | −23.4877 | − | 25.2752i | −0.996996 | − | 1.07287i | ||||
\(556\) | −23.0142 | − | 4.89182i | −0.976020 | − | 0.207460i | ||||
\(557\) | 9.44998 | + | 16.3678i | 0.400408 | + | 0.693528i | 0.993775 | − | 0.111405i | \(-0.0355349\pi\) |
−0.593367 | + | 0.804932i | \(0.702202\pi\) | |||||||
\(558\) | 7.01715 | + | 21.5966i | 0.297060 | + | 0.914255i | ||||
\(559\) | −13.3217 | − | 9.67876i | −0.563447 | − | 0.409368i | ||||
\(560\) | −1.34818 | + | 2.42227i | −0.0569711 | + | 0.102360i | ||||
\(561\) | 7.64766 | + | 3.40496i | 0.322884 | + | 0.143757i | ||||
\(562\) | −8.70429 | − | 6.32404i | −0.367168 | − | 0.266763i | ||||
\(563\) | 28.5852 | + | 20.7683i | 1.20472 | + | 0.875281i | 0.994741 | − | 0.102424i | \(-0.0326599\pi\) |
0.209981 | + | 0.977706i | \(0.432660\pi\) | |||||||
\(564\) | −14.0225 | − | 6.24320i | −0.590452 | − | 0.262886i | ||||
\(565\) | 26.9538 | − | 0.423735i | 1.13396 | − | 0.0178267i | ||||
\(566\) | −3.13584 | + | 29.8355i | −0.131809 | + | 1.25408i | ||||
\(567\) | 2.88365 | + | 0.612938i | 0.121102 | + | 0.0257410i | ||||
\(568\) | −5.05113 | + | 8.74882i | −0.211941 | + | 0.367092i | ||||
\(569\) | 6.97147 | + | 21.4560i | 0.292259 | + | 0.899482i | 0.984128 | + | 0.177459i | \(0.0567876\pi\) |
−0.691869 | + | 0.722023i | \(0.743212\pi\) | |||||||
\(570\) | −0.727988 | + | 26.6446i | −0.0304921 | + | 1.11602i | ||||
\(571\) | −4.34567 | + | 13.3746i | −0.181860 | + | 0.559709i | −0.999880 | − | 0.0154813i | \(-0.995072\pi\) |
0.818020 | + | 0.575190i | \(0.195072\pi\) | |||||||
\(572\) | −4.26980 | − | 4.74210i | −0.178529 | − | 0.198277i | ||||
\(573\) | 0.0561073 | + | 0.533825i | 0.00234392 | + | 0.0223009i | ||||
\(574\) | −1.58839 | − | 2.75118i | −0.0662983 | − | 0.114832i | ||||
\(575\) | −16.2447 | + | 19.2239i | −0.677450 | + | 0.801691i | ||||
\(576\) | −2.23930 | − | 3.87858i | −0.0933042 | − | 0.161608i | ||||
\(577\) | −31.3805 | + | 22.7993i | −1.30639 | + | 0.949147i | −0.999996 | − | 0.00275817i | \(-0.999122\pi\) |
−0.306393 | + | 0.951905i | \(0.599122\pi\) | |||||||
\(578\) | 5.04295 | − | 15.5206i | 0.209759 | − | 0.645571i | ||||
\(579\) | 26.8070 | − | 5.69801i | 1.11406 | − | 0.236801i | ||||
\(580\) | −7.89463 | + | 14.1842i | −0.327807 | + | 0.588969i | ||||
\(581\) | −5.26943 | − | 16.2176i | −0.218613 | − | 0.672821i | ||||
\(582\) | 5.92355 | 0.245539 | ||||||||
\(583\) | −0.816089 | + | 0.906359i | −0.0337989 | + | 0.0375375i | ||||
\(584\) | −8.63949 | + | 3.84655i | −0.357505 | + | 0.159171i | ||||
\(585\) | 15.6220 | − | 7.25169i | 0.645889 | − | 0.299821i | ||||
\(586\) | 0.785421 | + | 7.47278i | 0.0324454 | + | 0.308698i | ||||
\(587\) | −8.10558 | + | 3.60884i | −0.334553 | + | 0.148953i | −0.567137 | − | 0.823624i | \(-0.691949\pi\) |
0.232583 | + | 0.972576i | \(0.425282\pi\) | |||||||
\(588\) | −12.0865 | − | 8.78133i | −0.498437 | − | 0.362136i | ||||
\(589\) | −8.11236 | − | 20.5584i | −0.334264 | − | 0.847092i | ||||
\(590\) | −19.1714 | − | 8.17703i | −0.789273 | − | 0.336643i | ||||
\(591\) | −12.6375 | + | 5.62659i | −0.519838 | + | 0.231447i | ||||
\(592\) | −5.51918 | − | 1.17314i | −0.226837 | − | 0.0482157i | ||||
\(593\) | 21.4740 | + | 37.1941i | 0.881832 | + | 1.52738i | 0.849302 | + | 0.527907i | \(0.177023\pi\) |
0.0325297 | + | 0.999471i | \(0.489644\pi\) | |||||||
\(594\) | 14.6751 | + | 3.11928i | 0.602125 | + | 0.127986i | ||||
\(595\) | 2.07454 | − | 0.962996i | 0.0850477 | − | 0.0394790i | ||||
\(596\) | 4.25962 | − | 13.1098i | 0.174481 | − | 0.536997i | ||||
\(597\) | −14.7212 | + | 45.3071i | −0.602497 | + | 1.85430i | ||||
\(598\) | 7.90856 | + | 3.52112i | 0.323405 | + | 0.143989i | ||||
\(599\) | −2.39504 | − | 4.14833i | −0.0978586 | − | 0.169496i | 0.812939 | − | 0.582348i | \(-0.197866\pi\) |
−0.910798 | + | 0.412852i | \(0.864533\pi\) | |||||||
\(600\) | 9.46426 | + | 9.86878i | 0.386377 | + | 0.402891i | ||||
\(601\) | 42.3069 | 1.72573 | 0.862866 | − | 0.505432i | \(-0.168667\pi\) | ||||
0.862866 | + | 0.505432i | \(0.168667\pi\) | |||||||
\(602\) | −10.8439 | − | 4.82802i | −0.441964 | − | 0.196775i | ||||
\(603\) | −23.8425 | − | 26.4798i | −0.970944 | − | 1.07834i | ||||
\(604\) | 7.27960 | − | 1.54733i | 0.296203 | − | 0.0629599i | ||||
\(605\) | 2.00398 | + | 5.85294i | 0.0814735 | + | 0.237956i | ||||
\(606\) | −22.1735 | − | 4.71312i | −0.900736 | − | 0.191457i | ||||
\(607\) | 21.2905 | 0.864153 | 0.432076 | − | 0.901837i | \(-0.357781\pi\) | ||||
0.432076 | + | 0.901837i | \(0.357781\pi\) | |||||||
\(608\) | 2.40801 | + | 3.63338i | 0.0976578 | + | 0.147353i | ||||
\(609\) | 19.9124 | + | 14.4672i | 0.806893 | + | 0.586242i | ||||
\(610\) | −0.336792 | − | 0.983652i | −0.0136363 | − | 0.0398269i | ||||
\(611\) | −1.00902 | − | 9.60020i | −0.0408207 | − | 0.388383i | ||||
\(612\) | −0.386234 | + | 3.67477i | −0.0156126 | + | 0.148544i | ||||
\(613\) | −37.1688 | + | 16.5486i | −1.50123 | + | 0.668392i | −0.982452 | − | 0.186515i | \(-0.940281\pi\) |
−0.518782 | + | 0.854907i | \(0.673614\pi\) | |||||||
\(614\) | −6.73075 | − | 2.99672i | −0.271631 | − | 0.120938i | ||||
\(615\) | −15.2737 | + | 3.49833i | −0.615895 | + | 0.141066i | ||||
\(616\) | −3.72142 | − | 2.70377i | −0.149940 | − | 0.108938i | ||||
\(617\) | −3.90080 | + | 4.33228i | −0.157040 | + | 0.174411i | −0.816531 | − | 0.577302i | \(-0.804106\pi\) |
0.659490 | + | 0.751713i | \(0.270772\pi\) | |||||||
\(618\) | −8.52607 | − | 14.7676i | −0.342969 | − | 0.594039i | ||||
\(619\) | −12.2621 | − | 37.7390i | −0.492857 | − | 1.51686i | −0.820270 | − | 0.571977i | \(-0.806177\pi\) |
0.327413 | − | 0.944881i | \(-0.393823\pi\) | |||||||
\(620\) | −10.4286 | − | 4.44804i | −0.418823 | − | 0.178638i | ||||
\(621\) | −19.9090 | + | 4.23180i | −0.798922 | + | 0.169816i | ||||
\(622\) | 0.863339 | + | 0.958836i | 0.0346168 | + | 0.0384458i | ||||
\(623\) | −8.55299 | − | 3.80804i | −0.342668 | − | 0.152566i | ||||
\(624\) | 2.35159 | − | 4.07308i | 0.0941391 | − | 0.163054i | ||||
\(625\) | −21.1088 | − | 13.3947i | −0.844353 | − | 0.535788i | ||||
\(626\) | −19.9178 | −0.796075 | ||||||||
\(627\) | −43.7465 | − | 6.51120i | −1.74707 | − | 0.260032i | ||||
\(628\) | −1.94002 | + | 5.97077i | −0.0774153 | + | 0.238260i | ||||
\(629\) | 3.11498 | + | 3.45953i | 0.124202 | + | 0.137941i | ||||
\(630\) | 9.92839 | − | 7.45462i | 0.395556 | − | 0.296999i | ||||
\(631\) | 12.6169 | − | 14.0125i | 0.502273 | − | 0.557830i | −0.437682 | − | 0.899130i | \(-0.644200\pi\) |
0.939955 | + | 0.341300i | \(0.110867\pi\) | |||||||
\(632\) | 0.781369 | − | 1.35337i | 0.0310812 | − | 0.0538342i | ||||
\(633\) | 28.0943 | − | 31.2018i | 1.11665 | − | 1.24016i | ||||
\(634\) | −23.6263 | − | 17.1655i | −0.938322 | − | 0.681731i | ||||
\(635\) | 35.1207 | − | 8.04414i | 1.39372 | − | 0.319222i | ||||
\(636\) | −0.821206 | − | 0.365625i | −0.0325629 | − | 0.0144980i | ||||
\(637\) | 0.982083 | − | 9.34390i | 0.0389116 | − | 0.370219i | ||||
\(638\) | −21.7918 | − | 15.8326i | −0.862744 | − | 0.626820i | ||||
\(639\) | 36.6032 | − | 26.5938i | 1.44800 | − | 1.05203i | ||||
\(640\) | 2.19424 | + | 0.430467i | 0.0867350 | + | 0.0170157i | ||||
\(641\) | 3.40901 | − | 1.51779i | 0.134648 | − | 0.0599491i | −0.338307 | − | 0.941036i | \(-0.609854\pi\) |
0.472955 | + | 0.881087i | \(0.343187\pi\) | |||||||
\(642\) | −13.7532 | + | 15.2744i | −0.542794 | + | 0.602834i | ||||
\(643\) | −4.33368 | + | 7.50616i | −0.170904 | + | 0.296014i | −0.938736 | − | 0.344637i | \(-0.888002\pi\) |
0.767832 | + | 0.640651i | \(0.221335\pi\) | |||||||
\(644\) | 6.10416 | + | 1.29748i | 0.240538 | + | 0.0511278i | ||||
\(645\) | −38.4877 | + | 44.1203i | −1.51545 | + | 1.73723i | ||||
\(646\) | 0.154716 | − | 3.59292i | 0.00608723 | − | 0.141362i | ||||
\(647\) | −3.37193 | + | 10.3777i | −0.132564 | + | 0.407991i | −0.995203 | − | 0.0978291i | \(-0.968810\pi\) |
0.862639 | + | 0.505820i | \(0.168810\pi\) | |||||||
\(648\) | −0.248563 | − | 2.36491i | −0.00976446 | − | 0.0929026i | ||||
\(649\) | 17.2921 | − | 29.9508i | 0.678774 | − | 1.17567i | ||||
\(650\) | −2.39888 | + | 8.25770i | −0.0940917 | + | 0.323894i | ||||
\(651\) | −8.59514 | + | 14.8872i | −0.336870 | + | 0.583476i | ||||
\(652\) | −16.3295 | − | 7.27036i | −0.639513 | − | 0.284729i | ||||
\(653\) | −6.11081 | + | 18.8071i | −0.239135 | + | 0.735981i | 0.757411 | + | 0.652938i | \(0.226464\pi\) |
−0.996546 | + | 0.0830426i | \(0.973536\pi\) | |||||||
\(654\) | 8.71691 | − | 26.8279i | 0.340858 | − | 1.04905i | ||||
\(655\) | −5.63413 | + | 2.61536i | −0.220144 | + | 0.102190i | ||||
\(656\) | −1.71460 | + | 1.90426i | −0.0669439 | + | 0.0743487i | ||||
\(657\) | 42.3546 | 1.65241 | ||||||||
\(658\) | −2.15032 | − | 6.61800i | −0.0838281 | − | 0.257996i | ||||
\(659\) | 3.54824 | − | 33.7592i | 0.138220 | − | 1.31507i | −0.677027 | − | 0.735958i | \(-0.736732\pi\) |
0.815247 | − | 0.579114i | \(-0.196601\pi\) | |||||||
\(660\) | −18.1437 | + | 13.6230i | −0.706241 | + | 0.530273i | ||||
\(661\) | −24.8810 | − | 11.0777i | −0.967760 | − | 0.430874i | −0.138885 | − | 0.990309i | \(-0.544352\pi\) |
−0.828875 | + | 0.559434i | \(0.811018\pi\) | |||||||
\(662\) | −12.8996 | + | 5.74329i | −0.501359 | + | 0.223219i | ||||
\(663\) | −3.54483 | + | 1.57826i | −0.137670 | + | 0.0612946i | ||||
\(664\) | −11.1276 | + | 8.08469i | −0.431836 | + | 0.313747i | ||||
\(665\) | −9.19739 | + | 7.83727i | −0.356659 | + | 0.303916i | ||||
\(666\) | 20.4442 | + | 14.8536i | 0.792197 | + | 0.575565i | ||||
\(667\) | 35.7445 | + | 7.59773i | 1.38403 | + | 0.294185i | ||||
\(668\) | 10.6674 | − | 18.4764i | 0.412733 | − | 0.714874i | ||||
\(669\) | −42.1338 | + | 46.7944i | −1.62899 | + | 1.80917i | ||||
\(670\) | 17.7882 | − | 0.279644i | 0.687216 | − | 0.0108036i | ||||
\(671\) | 1.68751 | − | 0.358692i | 0.0651457 | − | 0.0138472i | ||||
\(672\) | 1.04768 | − | 3.22443i | 0.0404152 | − | 0.124385i | ||||
\(673\) | −6.36051 | + | 4.62118i | −0.245180 | + | 0.178133i | −0.703588 | − | 0.710608i | \(-0.748420\pi\) |
0.458408 | + | 0.888742i | \(0.348420\pi\) | |||||||
\(674\) | −6.16437 | − | 10.6770i | −0.237443 | − | 0.411263i | ||||
\(675\) | −6.84893 | − | 19.0223i | −0.263615 | − | 0.732167i | ||||
\(676\) | −10.0422 | −0.386240 | ||||||||
\(677\) | −4.04941 | + | 2.94207i | −0.155631 | + | 0.113073i | −0.662876 | − | 0.748729i | \(-0.730664\pi\) |
0.507244 | + | 0.861802i | \(0.330664\pi\) | |||||||
\(678\) | −32.2481 | + | 6.85454i | −1.23848 | + | 0.263247i | ||||
\(679\) | 1.79688 | + | 1.99564i | 0.0689580 | + | 0.0765856i | ||||
\(680\) | −1.25584 | − | 1.35141i | −0.0481591 | − | 0.0518242i | ||||
\(681\) | 31.6718 | + | 6.73204i | 1.21366 | + | 0.257972i | ||||
\(682\) | 9.40634 | − | 16.2923i | 0.360187 | − | 0.623863i | ||||
\(683\) | −12.1288 | − | 37.3285i | −0.464094 | − | 1.42834i | −0.860118 | − | 0.510096i | \(-0.829610\pi\) |
0.396023 | − | 0.918240i | \(-0.370390\pi\) | |||||||
\(684\) | −3.23354 | − | 19.2521i | −0.123638 | − | 0.736123i | ||||
\(685\) | −9.81764 | − | 16.4037i | −0.375113 | − | 0.626752i | ||||
\(686\) | −1.61508 | − | 15.3664i | −0.0616640 | − | 0.586694i | ||||
\(687\) | 42.0051 | − | 18.7019i | 1.60259 | − | 0.713521i | ||||
\(688\) | −1.00081 | + | 9.52211i | −0.0381557 | + | 0.363027i | ||||
\(689\) | −0.0590920 | − | 0.562223i | −0.00225123 | − | 0.0214190i | ||||
\(690\) | 14.9695 | − | 26.8956i | 0.569879 | − | 1.02390i | ||||
\(691\) | 9.39399 | + | 6.82513i | 0.357364 | + | 0.259640i | 0.751952 | − | 0.659218i | \(-0.229113\pi\) |
−0.394588 | + | 0.918858i | \(0.629113\pi\) | |||||||
\(692\) | 6.02978 | + | 18.5577i | 0.229218 | + | 0.705459i | ||||
\(693\) | 10.3006 | + | 17.8412i | 0.391288 | + | 0.677731i | ||||
\(694\) | −2.85643 | + | 3.17239i | −0.108429 | + | 0.120422i | ||||
\(695\) | −51.2831 | + | 11.7460i | −1.94528 | + | 0.445552i | ||||
\(696\) | 6.13497 | − | 18.8815i | 0.232546 | − | 0.715702i | ||||
\(697\) | 2.06790 | − | 0.439546i | 0.0783273 | − | 0.0166490i | ||||
\(698\) | −3.49433 | − | 33.2464i | −0.132262 | − | 1.25839i | ||||
\(699\) | −6.19648 | − | 10.7326i | −0.234372 | − | 0.405945i | ||||
\(700\) | −0.453845 | + | 6.18215i | −0.0171537 | + | 0.233663i | ||||
\(701\) | −20.5224 | + | 35.5459i | −0.775122 | + | 1.34255i | 0.159605 | + | 0.987181i | \(0.448978\pi\) |
−0.934726 | + | 0.355369i | \(0.884355\pi\) | |||||||
\(702\) | −5.62601 | + | 4.08754i | −0.212340 | + | 0.154274i | ||||
\(703\) | −20.7511 | − | 13.2025i | −0.782644 | − | 0.497941i | ||||
\(704\) | −1.14656 | + | 3.52875i | −0.0432126 | + | 0.132995i | ||||
\(705\) | −34.3183 | + | 0.539510i | −1.29250 | + | 0.0203191i | ||||
\(706\) | 24.8942 | + | 5.29143i | 0.936906 | + | 0.199146i | ||||
\(707\) | −5.13837 | − | 8.89992i | −0.193248 | − | 0.334716i | ||||
\(708\) | 24.9332 | + | 5.29971i | 0.937046 | + | 0.199175i | ||||
\(709\) | −0.927774 | + | 8.82718i | −0.0348433 | + | 0.331512i | 0.963190 | + | 0.268822i | \(0.0866344\pi\) |
−0.998033 | + | 0.0626894i | \(0.980032\pi\) | |||||||
\(710\) | −2.00780 | + | 22.4999i | −0.0753516 | + | 0.844408i | ||||
\(711\) | −5.66221 | + | 4.11384i | −0.212349 | + | 0.154281i | ||||
\(712\) | −0.789380 | + | 7.51045i | −0.0295833 | + | 0.281466i | ||||
\(713\) | −2.66781 | + | 25.3826i | −0.0999104 | + | 0.950584i | ||||
\(714\) | −2.26296 | + | 1.64414i | −0.0846893 | + | 0.0615304i | ||||
\(715\) | −13.1246 | − | 5.59796i | −0.490834 | − | 0.209352i | ||||
\(716\) | 0.136184 | − | 1.29571i | 0.00508945 | − | 0.0484229i | ||||
\(717\) | 39.6835 | + | 8.43499i | 1.48201 | + | 0.315010i | ||||
\(718\) | 8.65759 | + | 14.9954i | 0.323098 | + | 0.559623i | ||||
\(719\) | 16.0048 | + | 3.40193i | 0.596878 | + | 0.126870i | 0.496437 | − | 0.868073i | \(-0.334641\pi\) |
0.100441 | + | 0.994943i | \(0.467975\pi\) | |||||||
\(720\) | −8.19339 | − | 5.75827i | −0.305350 | − | 0.214598i | ||||
\(721\) | 2.38884 | − | 7.35210i | 0.0889652 | − | 0.273807i | ||||
\(722\) | 4.29622 | + | 18.5079i | 0.159889 | + | 0.688793i | ||||
\(723\) | −58.0795 | + | 42.1972i | −2.16000 | + | 1.56933i | ||||
\(724\) | 2.23677 | − | 3.87421i | 0.0831290 | − | 0.143984i | ||||
\(725\) | −2.65761 | + | 36.2012i | −0.0987012 | + | 1.34448i | ||||
\(726\) | −3.78303 | − | 6.55241i | −0.140402 | − | 0.243183i | ||||
\(727\) | 5.15812 | + | 49.0762i | 0.191304 | + | 1.82014i | 0.496713 | + | 0.867915i | \(0.334540\pi\) |
−0.305409 | + | 0.952221i | \(0.598793\pi\) | |||||||
\(728\) | 2.08556 | − | 0.443300i | 0.0772961 | − | 0.0164298i | ||||
\(729\) | −13.5422 | + | 41.6786i | −0.501562 | + | 1.54365i | ||||
\(730\) | −13.9011 | + | 15.9355i | −0.514504 | + | 0.589801i | ||||
\(731\) | 5.28571 | − | 5.87037i | 0.195499 | − | 0.217124i | ||||
\(732\) | 0.635782 | + | 1.10121i | 0.0234992 | + | 0.0407018i | ||||
\(733\) | −4.41294 | − | 13.5816i | −0.162996 | − | 0.501649i | 0.835887 | − | 0.548901i | \(-0.184954\pi\) |
−0.998883 | + | 0.0472522i | \(0.984954\pi\) | |||||||
\(734\) | 13.3860 | + | 9.72552i | 0.494088 | + | 0.358976i | ||||
\(735\) | −32.7813 | − | 6.43104i | −1.20916 | − | 0.237213i | ||||
\(736\) | −0.526162 | − | 5.00610i | −0.0193946 | − | 0.184527i | ||||
\(737\) | −3.08566 | + | 29.3581i | −0.113662 | + | 1.08142i | ||||
\(738\) | 10.4839 | − | 4.66775i | 0.385919 | − | 0.171822i | ||||
\(739\) | 2.14333 | + | 20.3924i | 0.0788436 | + | 0.750147i | 0.960505 | + | 0.278264i | \(0.0897589\pi\) |
−0.881661 | + | 0.471883i | \(0.843574\pi\) | |||||||
\(740\) | −12.2985 | + | 2.81688i | −0.452102 | + | 0.103551i | ||||
\(741\) | 15.8111 | − | 13.0495i | 0.580834 | − | 0.479386i | ||||
\(742\) | −0.125930 | − | 0.387574i | −0.00462305 | − | 0.0142283i | ||||
\(743\) | 1.33859 | − | 2.31851i | 0.0491083 | − | 0.0850580i | −0.840426 | − | 0.541926i | \(-0.817695\pi\) |
0.889535 | + | 0.456868i | \(0.151029\pi\) | |||||||
\(744\) | 13.5628 | + | 2.88287i | 0.497238 | + | 0.105691i | ||||
\(745\) | −3.70332 | − | 30.5996i | −0.135679 | − | 1.12108i | ||||
\(746\) | 2.58402 | + | 2.86985i | 0.0946077 | + | 0.105073i | ||||
\(747\) | 60.2548 | − | 12.8075i | 2.20461 | − | 0.468604i | ||||
\(748\) | 2.47654 | − | 1.79931i | 0.0905513 | − | 0.0657894i | ||||
\(749\) | −9.31790 | −0.340469 | ||||||||
\(750\) | 28.4868 | + | 11.1054i | 1.04019 | + | 0.405511i | ||||
\(751\) | −10.0972 | − | 17.4888i | −0.368451 | − | 0.638176i | 0.620873 | − | 0.783911i | \(-0.286778\pi\) |
−0.989324 | + | 0.145736i | \(0.953445\pi\) | |||||||
\(752\) | −4.54089 | + | 3.29915i | −0.165589 | + | 0.120308i | ||||
\(753\) | 3.45346 | − | 10.6286i | 0.125851 | − | 0.387329i | ||||
\(754\) | 12.2126 | − | 2.59586i | 0.444755 | − | 0.0945356i | ||||
\(755\) | 13.3077 | − | 9.99195i | 0.484317 | − | 0.363644i | ||||
\(756\) | −3.35435 | + | 3.72538i | −0.121997 | + | 0.135491i | ||||
\(757\) | −17.3661 | + | 30.0790i | −0.631183 | + | 1.09324i | 0.356127 | + | 0.934437i | \(0.384097\pi\) |
−0.987310 | + | 0.158803i | \(0.949236\pi\) | |||||||
\(758\) | 26.4735 | + | 5.62712i | 0.961561 | + | 0.204386i | ||||
\(759\) | 41.3207 | + | 30.0212i | 1.49985 | + | 1.08970i | ||||
\(760\) | 8.30472 | + | 5.10212i | 0.301244 | + | 0.185073i | ||||
\(761\) | 24.2166 | − | 17.5944i | 0.877850 | − | 0.637796i | −0.0548315 | − | 0.998496i | \(-0.517462\pi\) |
0.932682 | + | 0.360700i | \(0.117462\pi\) | |||||||
\(762\) | −40.2552 | + | 17.9228i | −1.45829 | + | 0.649273i | ||||
\(763\) | 11.6825 | − | 5.20139i | 0.422936 | − | 0.188303i | ||||
\(764\) | 0.179310 | + | 0.0798340i | 0.00648721 | + | 0.00288829i | ||||
\(765\) | 2.67639 | + | 7.81680i | 0.0967651 | + | 0.282617i | ||||
\(766\) | −0.716903 | + | 6.82087i | −0.0259027 | + | 0.246448i | ||||
\(767\) | 4.95367 | + | 15.2458i | 0.178867 | + | 0.550495i | ||||
\(768\) | −2.73470 | −0.0986801 | ||||||||
\(769\) | 10.0716 | − | 11.1857i | 0.363192 | − | 0.403366i | −0.533658 | − | 0.845701i | \(-0.679183\pi\) |
0.896850 | + | 0.442335i | \(0.145850\pi\) | |||||||
\(770\) | −10.0934 | − | 1.98012i | −0.363739 | − | 0.0713585i | ||||
\(771\) | −13.6165 | + | 41.9074i | −0.490388 | + | 1.50926i | ||||
\(772\) | 3.09682 | − | 9.53104i | 0.111457 | − | 0.343030i | ||||
\(773\) | −8.36042 | − | 3.72230i | −0.300703 | − | 0.133882i | 0.250839 | − | 0.968029i | \(-0.419294\pi\) |
−0.551542 | + | 0.834147i | \(0.685960\pi\) | |||||||
\(774\) | 21.4403 | − | 37.1357i | 0.770656 | − | 1.33482i | ||||
\(775\) | −25.3391 | + | 0.796898i | −0.910208 | + | 0.0286254i | ||||
\(776\) | 1.08303 | − | 1.87587i | 0.0388787 | − | 0.0673398i | ||||
\(777\) | 1.99964 | + | 19.0253i | 0.0717367 | + | 0.682529i | ||||
\(778\) | −1.13657 | + | 3.49799i | −0.0407479 | + | 0.125409i | ||||
\(779\) | −9.90426 | + | 5.16337i | −0.354857 | + | 0.184997i | ||||
\(780\) | 0.934750 | − | 10.4750i | 0.0334694 | − | 0.375066i | ||||
\(781\) | −36.6638 | − | 7.79314i | −1.31193 | − | 0.278860i | ||||
\(782\) | −2.07648 | + | 3.59657i | −0.0742549 | + | 0.128613i | ||||
\(783\) | −19.6423 | + | 21.8150i | −0.701958 | + | 0.779603i | ||||
\(784\) | −4.99070 | + | 2.22200i | −0.178239 | + | 0.0793573i | ||||
\(785\) | 1.68666 | + | 13.9364i | 0.0601994 | + | 0.497413i | ||||
\(786\) | 6.14588 | − | 4.46524i | 0.219216 | − | 0.159270i | ||||
\(787\) | 17.7450 | + | 12.8925i | 0.632541 | + | 0.459568i | 0.857280 | − | 0.514851i | \(-0.172153\pi\) |
−0.224738 | + | 0.974419i | \(0.572153\pi\) | |||||||
\(788\) | −0.528757 | + | 5.03079i | −0.0188362 | + | 0.179214i | ||||
\(789\) | 15.1913 | + | 6.76358i | 0.540823 | + | 0.240790i | ||||
\(790\) | 0.310591 | − | 3.48056i | 0.0110503 | − | 0.123833i | ||||
\(791\) | −12.0916 | − | 8.78505i | −0.429927 | − | 0.312360i | ||||
\(792\) | 11.1191 | − | 12.3490i | 0.395098 | − | 0.438801i | ||||
\(793\) | −0.399835 | + | 0.692534i | −0.0141985 | + | 0.0245926i | ||||
\(794\) | 6.60146 | − | 7.33167i | 0.234277 | − | 0.260191i | ||||
\(795\) | −2.00980 | + | 0.0315957i | −0.0712803 | + | 0.00112058i | ||||
\(796\) | 11.6563 | + | 12.9456i | 0.413146 | + | 0.458846i | ||||
\(797\) | 11.2736 | − | 34.6967i | 0.399333 | − | 1.22902i | −0.526203 | − | 0.850359i | \(-0.676385\pi\) |
0.925535 | − | 0.378661i | \(-0.123615\pi\) | |||||||
\(798\) | 9.19276 | − | 11.5711i | 0.325420 | − | 0.409612i | ||||
\(799\) | 4.63081 | 0.163826 | ||||||||
\(800\) | 4.85564 | − | 1.19278i | 0.171673 | − | 0.0421711i | ||||
\(801\) | 16.9108 | − | 29.2903i | 0.597513 | − | 1.03492i | ||||
\(802\) | 5.50355 | + | 2.45034i | 0.194337 | + | 0.0865244i | ||||
\(803\) | −23.4792 | − | 26.0763i | −0.828563 | − | 0.920213i | ||||
\(804\) | −21.2821 | + | 4.52365i | −0.750561 | + | 0.159537i | ||||
\(805\) | 13.6020 | − | 3.11544i | 0.479408 | − | 0.109805i | ||||
\(806\) | 2.69464 | + | 8.29325i | 0.0949146 | + | 0.292117i | ||||
\(807\) | 15.5158 | + | 26.8741i | 0.546181 | + | 0.946014i | ||||
\(808\) | −5.54664 | + | 6.16017i | −0.195130 | + | 0.216714i | ||||
\(809\) | −17.8137 | − | 12.9424i | −0.626295 | − | 0.455030i | 0.228820 | − | 0.973469i | \(-0.426513\pi\) |
−0.855115 | + | 0.518439i | \(0.826513\pi\) | |||||||
\(810\) | −2.73067 | − | 4.56250i | −0.0959461 | − | 0.160310i | ||||
\(811\) | 24.6611 | + | 10.9798i | 0.865967 | + | 0.385553i | 0.791134 | − | 0.611643i | \(-0.209491\pi\) |
0.0748328 | + | 0.997196i | \(0.476158\pi\) | |||||||
\(812\) | 8.22218 | − | 3.66075i | 0.288542 | − | 0.128467i | ||||
\(813\) | 4.87535 | − | 46.3858i | 0.170986 | − | 1.62682i | ||||
\(814\) | −2.18836 | − | 20.8209i | −0.0767021 | − | 0.729772i | ||||
\(815\) | −39.9645 | + | 0.628273i | −1.39989 | + | 0.0220074i | ||||
\(816\) | 1.82533 | + | 1.32618i | 0.0638993 | + | 0.0464255i | ||||
\(817\) | −18.5995 | + | 37.3608i | −0.650715 | + | 1.30709i | ||||
\(818\) | −0.850755 | −0.0297459 | ||||||||
\(819\) | −9.34040 | − | 1.98536i | −0.326380 | − | 0.0693742i | ||||
\(820\) | −1.68472 | + | 5.47649i | −0.0588329 | + | 0.191247i | ||||
\(821\) | 5.92320 | − | 1.25902i | 0.206721 | − | 0.0439399i | −0.103387 | − | 0.994641i | \(-0.532968\pi\) |
0.310108 | + | 0.950701i | \(0.399635\pi\) | |||||||
\(822\) | 15.6444 | + | 17.3749i | 0.545662 | + | 0.606019i | ||||
\(823\) | 24.0996 | + | 10.7298i | 0.840059 | + | 0.374018i | 0.781225 | − | 0.624250i | \(-0.214595\pi\) |
0.0588337 | + | 0.998268i | \(0.481262\pi\) | |||||||
\(824\) | −6.23546 | −0.217223 | ||||||||
\(825\) | −23.9731 | + | 44.7122i | −0.834637 | + | 1.55668i | ||||
\(826\) | 5.77789 | + | 10.0076i | 0.201039 | + | 0.348209i | ||||
\(827\) | −16.0607 | − | 7.15069i | −0.558486 | − | 0.248654i | 0.108027 | − | 0.994148i | \(-0.465547\pi\) |
−0.666512 | + | 0.745494i | \(0.732214\pi\) | |||||||
\(828\) | −6.96642 | + | 21.4404i | −0.242100 | + | 0.745107i | ||||
\(829\) | 1.67011 | − | 5.14006i | 0.0580052 | − | 0.178522i | −0.917856 | − | 0.396914i | \(-0.870081\pi\) |
0.975861 | + | 0.218392i | \(0.0700812\pi\) | |||||||
\(830\) | −14.9574 | + | 26.8739i | −0.519180 | + | 0.932807i | ||||
\(831\) | −81.8013 | − | 17.3874i | −2.83765 | − | 0.603162i | ||||
\(832\) | −0.859909 | − | 1.48941i | −0.0298120 | − | 0.0516358i | ||||
\(833\) | 4.40869 | + | 0.937095i | 0.152752 | + | 0.0324684i | ||||
\(834\) | 58.7804 | − | 26.1707i | 2.03540 | − | 0.906217i | ||||
\(835\) | 4.24024 | − | 47.5171i | 0.146739 | − | 1.64440i | ||||
\(836\) | −10.0604 | + | 12.6632i | −0.347945 | + | 0.437965i | ||||
\(837\) | −16.5865 | − | 12.0508i | −0.573313 | − | 0.416536i | ||||
\(838\) | −6.13906 | + | 2.73328i | −0.212070 | + | 0.0944197i | ||||
\(839\) | −2.00898 | − | 19.1141i | −0.0693576 | − | 0.659893i | −0.972873 | − | 0.231338i | \(-0.925690\pi\) |
0.903516 | − | 0.428555i | \(-0.140977\pi\) | |||||||
\(840\) | −0.910855 | − | 7.52617i | −0.0314275 | − | 0.259678i | ||||
\(841\) | 21.6543 | − | 9.64112i | 0.746700 | − | 0.332452i | ||||
\(842\) | 12.1774 | − | 13.5244i | 0.419662 | − | 0.466082i | ||||
\(843\) | 29.4229 | 1.01338 | ||||||||
\(844\) | −4.74437 | − | 14.6017i | −0.163308 | − | 0.502611i | ||||
\(845\) | −20.3677 | + | 9.45464i | −0.700669 | + | 0.325249i | ||||
\(846\) | 24.5884 | − | 5.22643i | 0.845367 | − | 0.179688i | ||||
\(847\) | 1.05993 | − | 3.26214i | 0.0364198 | − | 0.112089i | ||||
\(848\) | −0.265931 | + | 0.193210i | −0.00913212 | + | 0.00663487i | ||||
\(849\) | −41.0203 | − | 71.0493i | −1.40781 | − | 2.43841i | ||||
\(850\) | −3.81942 | − | 1.55857i | −0.131005 | − | 0.0534587i | ||||
\(851\) | 14.2012 | + | 24.5972i | 0.486811 | + | 0.843182i | ||||
\(852\) | −2.88778 | − | 27.4753i | −0.0989336 | − | 0.941290i | ||||
\(853\) | 17.5660 | + | 19.5090i | 0.601447 | + | 0.667974i | 0.964588 | − | 0.263760i | \(-0.0849626\pi\) |
−0.363142 | + | 0.931734i | \(0.618296\pi\) | |||||||
\(854\) | −0.178134 | + | 0.548240i | −0.00609562 | + | 0.0187604i | ||||
\(855\) | −24.6839 | − | 36.0028i | −0.844172 | − | 1.23127i | ||||
\(856\) | 2.32254 | + | 7.14806i | 0.0793830 | + | 0.244316i | ||||
\(857\) | −10.7137 | + | 18.5568i | −0.365975 | + | 0.633887i | −0.988932 | − | 0.148369i | \(-0.952598\pi\) |
0.622957 | + | 0.782256i | \(0.285931\pi\) | |||||||
\(858\) | 17.0691 | + | 3.62816i | 0.582731 | + | 0.123863i | ||||
\(859\) | 5.30290 | − | 50.4537i | 0.180933 | − | 1.72146i | −0.407749 | − | 0.913094i | \(-0.633686\pi\) |
0.588682 | − | 0.808365i | \(-0.299647\pi\) | |||||||
\(860\) | 6.93510 | + | 20.2550i | 0.236485 | + | 0.690690i | ||||
\(861\) | 7.93649 | + | 3.53355i | 0.270475 | + | 0.120423i | ||||
\(862\) | 31.2471 | + | 22.7023i | 1.06428 | + | 0.773245i | ||||
\(863\) | 45.5442 | + | 33.0898i | 1.55034 | + | 1.12639i | 0.943406 | + | 0.331639i | \(0.107602\pi\) |
0.606936 | + | 0.794750i | \(0.292398\pi\) | |||||||
\(864\) | 3.69395 | + | 1.64465i | 0.125671 | + | 0.0559522i | ||||
\(865\) | 29.7015 | + | 31.9619i | 1.00988 | + | 1.08674i | ||||
\(866\) | 18.1693 | + | 13.2008i | 0.617419 | + | 0.448581i | ||||
\(867\) | 13.7910 | + | 42.4442i | 0.468365 | + | 1.44148i | ||||
\(868\) | 3.14299 | + | 5.44381i | 0.106680 | + | 0.184775i | ||||
\(869\) | 5.67159 | + | 1.20553i | 0.192396 | + | 0.0408950i | ||||
\(870\) | −5.33375 | − | 44.0715i | −0.180831 | − | 1.49416i | ||||
\(871\) | −9.15572 | − | 10.1685i | −0.310230 | − | 0.344545i | ||||
\(872\) | −6.90209 | − | 7.66555i | −0.233734 | − | 0.259588i | ||||
\(873\) | −7.84824 | + | 5.70208i | −0.265623 | + | 0.192986i | ||||
\(874\) | 5.48094 | − | 21.2457i | 0.185396 | − | 0.718646i | ||||
\(875\) | 4.89993 | + | 12.9659i | 0.165648 | + | 0.438328i | ||||
\(876\) | 12.9312 | − | 22.3975i | 0.436904 | − | 0.756740i | ||||
\(877\) | 3.60455 | + | 34.2950i | 0.121717 | + | 1.15806i | 0.869436 | + | 0.494045i | \(0.164482\pi\) |
−0.747720 | + | 0.664015i | \(0.768851\pi\) | |||||||
\(878\) | 20.2963 | − | 4.31412i | 0.684968 | − | 0.145594i | ||||
\(879\) | −13.7496 | − | 15.2704i | −0.463761 | − | 0.515059i | ||||
\(880\) | 0.996821 | + | 8.23649i | 0.0336028 | + | 0.277652i | ||||
\(881\) | −16.0929 | − | 49.5290i | −0.542185 | − | 1.66867i | −0.727590 | − | 0.686012i | \(-0.759360\pi\) |
0.185405 | − | 0.982662i | \(-0.440640\pi\) | |||||||
\(882\) | 24.4666 | 0.823833 | ||||||||
\(883\) | −1.50765 | + | 1.67441i | −0.0507364 | + | 0.0563485i | −0.767979 | − | 0.640475i | \(-0.778737\pi\) |
0.717242 | + | 0.696824i | \(0.245404\pi\) | |||||||
\(884\) | −0.148317 | + | 1.41114i | −0.00498843 | + | 0.0474618i | ||||
\(885\) | 55.5591 | − | 12.7254i | 1.86760 | − | 0.427760i | ||||
\(886\) | −4.23646 | + | 3.07797i | −0.142327 | + | 0.103406i | ||||
\(887\) | 1.22153 | − | 11.6221i | 0.0410149 | − | 0.390230i | −0.954687 | − | 0.297612i | \(-0.903810\pi\) |
0.995702 | − | 0.0926181i | \(-0.0295236\pi\) | |||||||
\(888\) | 14.0965 | − | 6.27616i | 0.473047 | − | 0.210614i | ||||
\(889\) | −18.2494 | − | 8.12514i | −0.612064 | − | 0.272509i | ||||
\(890\) | 5.46997 | + | 15.9759i | 0.183354 | + | 0.535513i | ||||
\(891\) | 8.06020 | − | 3.58863i | 0.270027 | − | 0.120224i | ||||
\(892\) | 7.11528 | + | 21.8986i | 0.238237 | + | 0.733219i | ||||
\(893\) | −23.5721 | + | 6.55233i | −0.788811 | + | 0.219265i | ||||
\(894\) | 11.6488 | + | 35.8513i | 0.389594 | + | 1.19905i | ||||
\(895\) | −0.943684 | − | 2.75617i | −0.0315439 | − | 0.0921286i | ||||
\(896\) | −0.829559 | − | 0.921319i | −0.0277136 | − | 0.0307791i | ||||
\(897\) | −23.1570 | + | 4.92217i | −0.773189 | + | 0.164346i | ||||
\(898\) | 1.45733 | + | 13.8656i | 0.0486318 | + | 0.462701i | ||||
\(899\) | 18.4046 | + | 31.8777i | 0.613827 | + | 1.06318i | ||||
\(900\) | −22.0392 | − | 3.96495i | −0.734639 | − | 0.132165i | ||||
\(901\) | 0.271197 | 0.00903489 | ||||||||
\(902\) | −8.68554 | − | 3.86705i | −0.289197 | − | 0.128759i | ||||
\(903\) | 31.7519 | − | 6.74908i | 1.05664 | − | 0.224595i | ||||
\(904\) | −3.72539 | + | 11.4656i | −0.123905 | + | 0.381339i | ||||
\(905\) | 0.889109 | − | 9.96357i | 0.0295550 | − | 0.331200i | ||||
\(906\) | −13.6183 | + | 15.1247i | −0.452439 | + | 0.502485i | ||||
\(907\) | −5.90911 | + | 10.2349i | −0.196209 | + | 0.339844i | −0.947296 | − | 0.320359i | \(-0.896196\pi\) |
0.751087 | + | 0.660203i | \(0.229530\pi\) | |||||||
\(908\) | 7.92262 | − | 8.79896i | 0.262921 | − | 0.292004i | ||||
\(909\) | 33.9150 | − | 15.0999i | 1.12489 | − | 0.500833i | ||||
\(910\) | 3.81258 | − | 2.86263i | 0.126386 | − | 0.0948954i | ||||
\(911\) | −19.6670 | + | 14.2889i | −0.651596 | + | 0.473412i | −0.863814 | − | 0.503810i | \(-0.831931\pi\) |
0.212219 | + | 0.977222i | \(0.431931\pi\) | |||||||
\(912\) | −11.1679 | − | 4.16789i | −0.369806 | − | 0.138013i | ||||
\(913\) | −41.2874 | − | 29.9970i | −1.36641 | − | 0.992757i | ||||
\(914\) | 1.50329 | + | 14.3028i | 0.0497243 | + | 0.473095i | ||||
\(915\) | 2.32627 | + | 1.63489i | 0.0769040 | + | 0.0540477i | ||||
\(916\) | 1.75750 | − | 16.7215i | 0.0580695 | − | 0.552495i | ||||
\(917\) | 3.36866 | + | 0.716030i | 0.111243 | + | 0.0236454i | ||||
\(918\) | −1.66803 | − | 2.88911i | −0.0550532 | − | 0.0953550i | ||||
\(919\) | 0.421366 | + | 1.29683i | 0.0138996 | + | 0.0427785i | 0.957766 | − | 0.287550i | \(-0.0928406\pi\) |
−0.943866 | + | 0.330328i | \(0.892841\pi\) | |||||||
\(920\) | −5.78034 | − | 9.65800i | −0.190572 | − | 0.318415i | ||||
\(921\) | 19.7083 | − | 4.18912i | 0.649409 | − | 0.138036i | ||||
\(922\) | 31.1682 | − | 6.62500i | 1.02647 | − | 0.218183i | ||||
\(923\) | 14.0559 | − | 10.2122i | 0.462656 | − | 0.336139i | ||||
\(924\) | 12.5794 | 0.413833 | ||||||||
\(925\) | −22.2918 | + | 17.2921i | −0.732950 | + | 0.568561i | ||||
\(926\) | −5.93442 | + | 10.2787i | −0.195017 | + | 0.337780i | ||||
\(927\) | 25.5118 | + | 11.3586i | 0.837918 | + | 0.373065i | ||||
\(928\) | −4.85770 | − | 5.39503i | −0.159462 | − | 0.177100i | ||||
\(929\) | 11.0176 | + | 12.2363i | 0.361477 | + | 0.401461i | 0.896260 | − | 0.443528i | \(-0.146273\pi\) |
−0.534783 | + | 0.844989i | \(0.679607\pi\) | |||||||
\(930\) | 30.2224 | − | 6.92221i | 0.991030 | − | 0.226988i | ||||
\(931\) | −23.7674 | + | 1.46795i | −0.778945 | + | 0.0481102i | ||||
\(932\) | −4.53174 | −0.148442 | ||||||||
\(933\) | −3.45132 | − | 0.733601i | −0.112991 | − | 0.0240170i | ||||
\(934\) | −2.02191 | + | 0.900214i | −0.0661590 | + | 0.0294559i | ||||
\(935\) | 3.32889 | − | 5.98100i | 0.108866 | − | 0.195600i | ||||
\(936\) | 0.805117 | + | 7.66018i | 0.0263161 | + | 0.250381i | ||||
\(937\) | −3.73416 | + | 35.5281i | −0.121990 | + | 1.16065i | 0.746653 | + | 0.665214i | \(0.231660\pi\) |
−0.868643 | + | 0.495439i | \(0.835007\pi\) | |||||||
\(938\) | −7.97983 | − | 5.79769i | −0.260551 | − | 0.189301i | ||||
\(939\) | 44.0665 | − | 32.0162i | 1.43806 | − | 1.04481i | ||||
\(940\) | −6.10374 | + | 10.9665i | −0.199082 | + | 0.357689i | ||||
\(941\) | −3.05928 | + | 29.1071i | −0.0997296 | + | 0.948864i | 0.824199 | + | 0.566300i | \(0.191626\pi\) |
−0.923929 | + | 0.382564i | \(0.875041\pi\) | |||||||
\(942\) | −5.30538 | − | 16.3283i | −0.172859 | − | 0.532004i | ||||
\(943\) | 12.8984 | 0.420031 | ||||||||
\(944\) | 6.23697 | − | 6.92686i | 0.202996 | − | 0.225450i | ||||
\(945\) | −3.29589 | + | 10.7139i | −0.107215 | + | 0.348523i | ||||
\(946\) | −34.7487 | + | 7.38606i | −1.12978 | + | 0.240141i | ||||
\(947\) | −15.0339 | − | 16.6968i | −0.488535 | − | 0.542573i | 0.447591 | − | 0.894238i | \(-0.352282\pi\) |
−0.936126 | + | 0.351666i | \(0.885615\pi\) | |||||||
\(948\) | 0.446715 | + | 4.25021i | 0.0145086 | + | 0.138040i | ||||
\(949\) | 16.2645 | 0.527967 | ||||||||
\(950\) | 21.6472 | + | 2.52933i | 0.702329 | + | 0.0820622i | ||||
\(951\) | 79.8636 | 2.58976 | ||||||||
\(952\) | 0.106916 | + | 1.01724i | 0.00346518 | + | 0.0329690i | ||||
\(953\) | 30.3864 | + | 33.7475i | 0.984312 | + | 1.09319i | 0.995642 | + | 0.0932533i | \(0.0297266\pi\) |
−0.0113305 | + | 0.999936i | \(0.503607\pi\) | |||||||
\(954\) | 1.43999 | − | 0.306079i | 0.0466213 | − | 0.00990966i | ||||
\(955\) | 0.438840 | − | 0.00689890i | 0.0142005 | − | 0.000223243i | ||||
\(956\) | 9.92673 | − | 11.0248i | 0.321053 | − | 0.356566i | ||||
\(957\) | 73.6623 | 2.38116 | ||||||||
\(958\) | 0.173662 | + | 0.534477i | 0.00561077 | + | 0.0172682i | ||||
\(959\) | −1.10792 | + | 10.5412i | −0.0357767 | + | 0.340393i | ||||
\(960\) | −5.54653 | + | 2.57469i | −0.179013 | + | 0.0830978i | ||||
\(961\) | 4.28113 | − | 3.11043i | 0.138101 | − | 0.100336i | ||||
\(962\) | 7.85074 | + | 5.70389i | 0.253118 | + | 0.183901i | ||||
\(963\) | 3.51851 | − | 33.4764i | 0.113382 | − | 1.07876i | ||||
\(964\) | 2.74403 | + | 26.1077i | 0.0883794 | + | 0.840874i | ||||
\(965\) | −2.69238 | − | 22.2465i | −0.0866708 | − | 0.716140i | ||||
\(966\) | −15.5906 | + | 6.94136i | −0.501618 | + | 0.223335i | ||||
\(967\) | 57.8253 | + | 12.2912i | 1.85954 | + | 0.395257i | 0.994346 | − | 0.106185i | \(-0.0338636\pi\) |
0.865191 | + | 0.501442i | \(0.167197\pi\) | |||||||
\(968\) | −2.76669 | −0.0889247 | ||||||||
\(969\) | 5.43303 | + | 8.19775i | 0.174534 | + | 0.263350i | ||||
\(970\) | 0.430502 | − | 4.82431i | 0.0138226 | − | 0.154899i | ||||
\(971\) | 6.74080 | + | 7.48642i | 0.216323 | + | 0.240251i | 0.841533 | − | 0.540206i | \(-0.181654\pi\) |
−0.625210 | + | 0.780456i | \(0.714987\pi\) | |||||||
\(972\) | 12.4683 | + | 13.8474i | 0.399920 | + | 0.444157i | ||||
\(973\) | 26.6476 | + | 11.8643i | 0.854284 | + | 0.380352i | ||||
\(974\) | 14.0014 | − | 24.2512i | 0.448634 | − | 0.777057i | ||||
\(975\) | −7.96625 | − | 22.1255i | −0.255124 | − | 0.708584i | ||||
\(976\) | 0.464973 | 0.0148834 | ||||||||
\(977\) | 6.02279 | − | 4.37581i | 0.192686 | − | 0.139995i | −0.487259 | − | 0.873257i | \(-0.662003\pi\) |
0.679946 | + | 0.733263i | \(0.262003\pi\) | |||||||
\(978\) | 47.8143 | − | 10.1632i | 1.52893 | − | 0.324984i | ||||
\(979\) | −27.4076 | + | 5.82566i | −0.875950 | + | 0.186189i | ||||
\(980\) | −8.03016 | + | 9.20536i | −0.256514 | + | 0.294054i | ||||
\(981\) | 14.2756 | + | 43.9358i | 0.455785 | + | 1.40276i | ||||
\(982\) | −15.2340 | − | 26.3860i | −0.486136 | − | 0.842013i | ||||
\(983\) | −33.7310 | − | 7.16975i | −1.07585 | − | 0.228679i | −0.364278 | − | 0.931290i | \(-0.618684\pi\) |
−0.711574 | + | 0.702611i | \(0.752018\pi\) | |||||||
\(984\) | 0.732481 | − | 6.96910i | 0.0233507 | − | 0.222167i | ||||
\(985\) | 3.66400 | + | 10.7013i | 0.116745 | + | 0.340971i | ||||
\(986\) | 0.626077 | + | 5.95673i | 0.0199384 | + | 0.189701i | ||||
\(987\) | 15.3953 | + | 11.1853i | 0.490038 | + | 0.356033i | ||||
\(988\) | −1.24171 | − | 7.39296i | −0.0395039 | − | 0.235201i | ||||
\(989\) | 38.9907 | − | 28.3284i | 1.23983 | − | 0.900792i | ||||
\(990\) | 10.9253 | − | 35.5146i | 0.347228 | − | 1.12873i | ||||
\(991\) | −42.5351 | + | 18.9379i | −1.35117 | + | 0.601581i | −0.949374 | − | 0.314147i | \(-0.898282\pi\) |
−0.401799 | + | 0.915728i | \(0.631615\pi\) | |||||||
\(992\) | 3.39271 | − | 3.76799i | 0.107719 | − | 0.119634i | ||||
\(993\) | 19.3076 | − | 33.4417i | 0.612708 | − | 1.06124i | ||||
\(994\) | 8.38043 | − | 9.30741i | 0.265811 | − | 0.295213i | ||||
\(995\) | 35.8295 | + | 15.2821i | 1.13587 | + | 0.484474i | ||||
\(996\) | 11.6235 | − | 35.7735i | 0.368305 | − | 1.13353i | ||||
\(997\) | 14.3393 | − | 3.04790i | 0.454129 | − | 0.0965281i | 0.0248324 | − | 0.999692i | \(-0.492095\pi\) |
0.429297 | + | 0.903164i | \(0.358761\pi\) | |||||||
\(998\) | −28.9332 | − | 12.8819i | −0.915865 | − | 0.407770i | ||||
\(999\) | −22.8156 | −0.721853 |
(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 | 950.2.r.a.11.3 | ✓ | 200 | |
19.7 | even | 3 | inner | 950.2.r.a.311.23 | yes | 200 | |
25.16 | even | 5 | inner | 950.2.r.a.391.23 | yes | 200 | |
475.216 | even | 15 | inner | 950.2.r.a.691.3 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.a.11.3 | ✓ | 200 | 1.1 | even | 1 | trivial | |
950.2.r.a.311.23 | yes | 200 | 19.7 | even | 3 | inner | |
950.2.r.a.391.23 | yes | 200 | 25.16 | even | 5 | inner | |
950.2.r.a.691.3 | yes | 200 | 475.216 | even | 15 | inner |