Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(37,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.bd (of order \(24\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.6 | ||
Character | \(\chi\) | \(=\) | 224.37 |
Dual form | 224.2.bd.a.109.6 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16516 | + | 0.801498i | −0.823893 | + | 0.566745i | ||||
\(3\) | 1.71349 | − | 2.23306i | 0.989282 | − | 1.28926i | 0.0321868 | − | 0.999482i | \(-0.489753\pi\) |
0.957095 | − | 0.289775i | \(-0.0935805\pi\) | |||||||
\(4\) | 0.715201 | − | 1.86775i | 0.357600 | − | 0.933875i | ||||
\(5\) | 1.90405 | − | 1.46103i | 0.851518 | − | 0.653393i | −0.0879138 | − | 0.996128i | \(-0.528020\pi\) |
0.939432 | + | 0.342735i | \(0.111353\pi\) | |||||||
\(6\) | −0.206695 | + | 3.97523i | −0.0843828 | + | 1.62288i | ||||
\(7\) | −0.262719 | + | 2.63268i | −0.0992986 | + | 0.995058i | ||||
\(8\) | 0.663674 | + | 2.74946i | 0.234644 | + | 0.972081i | ||||
\(9\) | −1.27406 | − | 4.75485i | −0.424686 | − | 1.58495i | ||||
\(10\) | −1.04751 | + | 3.22843i | −0.331253 | + | 1.02092i | ||||
\(11\) | 2.49657 | − | 0.328680i | 0.752745 | − | 0.0991007i | 0.255617 | − | 0.966778i | \(-0.417721\pi\) |
0.497128 | + | 0.867677i | \(0.334388\pi\) | |||||||
\(12\) | −2.94531 | − | 4.79745i | −0.850237 | − | 1.38490i | ||||
\(13\) | −1.76220 | + | 0.729927i | −0.488746 | + | 0.202445i | −0.613427 | − | 0.789752i | \(-0.710209\pi\) |
0.124681 | + | 0.992197i | \(0.460209\pi\) | |||||||
\(14\) | −1.80397 | − | 3.27806i | −0.482132 | − | 0.876098i | ||||
\(15\) | − | 6.75532i | − | 1.74422i | ||||||
\(16\) | −2.97698 | − | 2.67163i | −0.744244 | − | 0.667908i | ||||
\(17\) | −5.05929 | + | 2.92098i | −1.22706 | + | 0.708442i | −0.966413 | − | 0.256992i | \(-0.917268\pi\) |
−0.260645 | + | 0.965435i | \(0.583935\pi\) | |||||||
\(18\) | 5.29549 | + | 4.51901i | 1.24816 | + | 1.06514i | ||||
\(19\) | 0.908918 | − | 6.90392i | 0.208520 | − | 1.58387i | −0.492233 | − | 0.870463i | \(-0.663819\pi\) |
0.700753 | − | 0.713404i | \(-0.252847\pi\) | |||||||
\(20\) | −1.36706 | − | 4.60122i | −0.305684 | − | 1.02886i | ||||
\(21\) | 5.42875 | + | 5.09772i | 1.18465 | + | 1.11241i | ||||
\(22\) | −2.64547 | + | 2.38396i | −0.564017 | + | 0.508263i | ||||
\(23\) | 0.497314 | + | 1.85600i | 0.103697 | + | 0.387003i | 0.998194 | − | 0.0600710i | \(-0.0191327\pi\) |
−0.894497 | + | 0.447074i | \(0.852466\pi\) | |||||||
\(24\) | 7.27690 | + | 3.22914i | 1.48539 | + | 0.659146i | ||||
\(25\) | 0.196710 | − | 0.734131i | 0.0393420 | − | 0.146826i | ||||
\(26\) | 1.46821 | − | 2.26288i | 0.287940 | − | 0.443788i | ||||
\(27\) | −4.99959 | − | 2.07090i | −0.962171 | − | 0.398544i | ||||
\(28\) | 4.72928 | + | 2.37359i | 0.893750 | + | 0.448566i | ||||
\(29\) | 3.54360 | + | 8.55501i | 0.658030 | + | 1.58862i | 0.800843 | + | 0.598875i | \(0.204385\pi\) |
−0.142813 | + | 0.989750i | \(0.545615\pi\) | |||||||
\(30\) | 5.41438 | + | 7.87103i | 0.988525 | + | 1.43705i | ||||
\(31\) | −2.59366 | − | 4.49234i | −0.465834 | − | 0.806849i | 0.533404 | − | 0.845860i | \(-0.320912\pi\) |
−0.999239 | + | 0.0390116i | \(0.987579\pi\) | |||||||
\(32\) | 5.60996 | + | 0.726841i | 0.991711 | + | 0.128489i | ||||
\(33\) | 3.54388 | − | 6.13818i | 0.616910 | − | 1.06852i | ||||
\(34\) | 3.55373 | − | 7.45843i | 0.609459 | − | 1.27911i | ||||
\(35\) | 3.34619 | + | 5.39659i | 0.565609 | + | 0.912191i | ||||
\(36\) | −9.79208 | − | 1.02105i | −1.63201 | − | 0.170175i | ||||
\(37\) | −2.70513 | + | 2.07572i | −0.444721 | + | 0.341247i | −0.806722 | − | 0.590931i | \(-0.798760\pi\) |
0.362001 | + | 0.932178i | \(0.382094\pi\) | |||||||
\(38\) | 4.47444 | + | 8.77267i | 0.725850 | + | 1.42312i | ||||
\(39\) | −1.38953 | + | 5.18581i | −0.222504 | + | 0.830394i | ||||
\(40\) | 5.28072 | + | 4.26547i | 0.834955 | + | 0.674430i | ||||
\(41\) | −4.86955 | + | 4.86955i | −0.760496 | + | 0.760496i | −0.976412 | − | 0.215916i | \(-0.930726\pi\) |
0.215916 | + | 0.976412i | \(0.430726\pi\) | |||||||
\(42\) | −10.4112 | − | 1.58853i | −1.60648 | − | 0.245115i | ||||
\(43\) | 1.94703 | − | 4.70055i | 0.296920 | − | 0.716827i | −0.703064 | − | 0.711126i | \(-0.748185\pi\) |
0.999984 | − | 0.00570089i | \(-0.00181466\pi\) | |||||||
\(44\) | 1.17166 | − | 4.89804i | 0.176634 | − | 0.738408i | ||||
\(45\) | −9.37286 | − | 7.19205i | −1.39722 | − | 1.07213i | ||||
\(46\) | −2.06703 | − | 1.76394i | −0.304767 | − | 0.260079i | ||||
\(47\) | 3.40104 | + | 1.96359i | 0.496093 | + | 0.286419i | 0.727099 | − | 0.686533i | \(-0.240868\pi\) |
−0.231006 | + | 0.972952i | \(0.574202\pi\) | |||||||
\(48\) | −11.0669 | + | 2.06996i | −1.59737 | + | 0.298772i | ||||
\(49\) | −6.86196 | − | 1.38331i | −0.980280 | − | 0.197616i | ||||
\(50\) | 0.359206 | + | 1.01304i | 0.0507994 | + | 0.143266i | ||||
\(51\) | −2.14630 | + | 16.3028i | −0.300542 | + | 2.28284i | ||||
\(52\) | 0.102994 | + | 3.81339i | 0.0142827 | + | 0.528822i | ||||
\(53\) | 4.89856 | − | 0.644908i | 0.672869 | − | 0.0885849i | 0.213653 | − | 0.976910i | \(-0.431464\pi\) |
0.459216 | + | 0.888325i | \(0.348130\pi\) | |||||||
\(54\) | 7.48514 | − | 1.59423i | 1.01860 | − | 0.216947i | ||||
\(55\) | 4.27339 | − | 4.27339i | 0.576224 | − | 0.576224i | ||||
\(56\) | −7.41280 | + | 1.02490i | −0.990577 | + | 0.136958i | ||||
\(57\) | −13.8594 | − | 13.8594i | −1.83573 | − | 1.83573i | ||||
\(58\) | −10.9857 | − | 7.12777i | −1.44249 | − | 0.935922i | ||||
\(59\) | −0.694133 | − | 5.27246i | −0.0903684 | − | 0.686416i | −0.975330 | − | 0.220752i | \(-0.929149\pi\) |
0.884962 | − | 0.465664i | \(-0.154184\pi\) | |||||||
\(60\) | −12.6172 | − | 4.83141i | −1.62888 | − | 0.623732i | ||||
\(61\) | −7.60241 | − | 1.00088i | −0.973389 | − | 0.128149i | −0.372978 | − | 0.927840i | \(-0.621663\pi\) |
−0.600412 | + | 0.799691i | \(0.704997\pi\) | |||||||
\(62\) | 6.62263 | + | 3.15549i | 0.841075 | + | 0.400748i | ||||
\(63\) | 12.8527 | − | 2.10499i | 1.61929 | − | 0.265204i | ||||
\(64\) | −7.11907 | + | 3.64949i | −0.889884 | + | 0.456186i | ||||
\(65\) | −2.28887 | + | 3.96445i | −0.283900 | + | 0.491729i | ||||
\(66\) | 0.790550 | + | 9.99238i | 0.0973099 | + | 1.22998i | ||||
\(67\) | −4.18604 | + | 5.45536i | −0.511407 | + | 0.666478i | −0.975676 | − | 0.219216i | \(-0.929650\pi\) |
0.464270 | + | 0.885694i | \(0.346317\pi\) | |||||||
\(68\) | 1.83725 | + | 11.5386i | 0.222800 | + | 1.39926i | ||||
\(69\) | 4.99670 | + | 2.06970i | 0.601532 | + | 0.249163i | ||||
\(70\) | −8.22421 | − | 3.60594i | −0.982981 | − | 0.430992i | ||||
\(71\) | 7.62970 | + | 7.62970i | 0.905478 | + | 0.905478i | 0.995903 | − | 0.0904250i | \(-0.0288225\pi\) |
−0.0904250 | + | 0.995903i | \(0.528823\pi\) | |||||||
\(72\) | 12.2277 | − | 6.65864i | 1.44105 | − | 0.784729i | ||||
\(73\) | 10.2082 | + | 2.73527i | 1.19478 | + | 0.320139i | 0.800772 | − | 0.598970i | \(-0.204423\pi\) |
0.394004 | + | 0.919109i | \(0.371090\pi\) | |||||||
\(74\) | 1.48823 | − | 4.58671i | 0.173003 | − | 0.533194i | ||||
\(75\) | −1.30230 | − | 1.69719i | −0.150376 | − | 0.195974i | ||||
\(76\) | −12.2447 | − | 6.63532i | −1.40457 | − | 0.761123i | ||||
\(77\) | 0.209410 | + | 6.65901i | 0.0238645 | + | 0.758865i | ||||
\(78\) | −2.53739 | − | 7.15602i | −0.287303 | − | 0.810259i | ||||
\(79\) | 7.49333 | + | 4.32628i | 0.843066 | + | 0.486744i | 0.858305 | − | 0.513139i | \(-0.171518\pi\) |
−0.0152392 | + | 0.999884i | \(0.504851\pi\) | |||||||
\(80\) | −9.57166 | − | 0.737475i | −1.07014 | − | 0.0824522i | ||||
\(81\) | −0.401905 | + | 0.232040i | −0.0446561 | + | 0.0257822i | ||||
\(82\) | 1.77087 | − | 9.57674i | 0.195560 | − | 1.05757i | ||||
\(83\) | −9.84868 | + | 4.07946i | −1.08103 | + | 0.447779i | −0.850872 | − | 0.525374i | \(-0.823926\pi\) |
−0.230162 | + | 0.973152i | \(0.573926\pi\) | |||||||
\(84\) | 13.4039 | − | 6.49365i | 1.46249 | − | 0.708516i | ||||
\(85\) | −5.36551 | + | 12.9535i | −0.581971 | + | 1.40500i | ||||
\(86\) | 1.49888 | + | 7.03744i | 0.161628 | + | 0.758867i | ||||
\(87\) | 25.1757 | + | 6.74582i | 2.69912 | + | 0.723228i | ||||
\(88\) | 2.56060 | + | 6.64609i | 0.272961 | + | 0.708476i | ||||
\(89\) | −3.81526 | + | 1.02230i | −0.404417 | + | 0.108363i | −0.455293 | − | 0.890342i | \(-0.650465\pi\) |
0.0508757 | + | 0.998705i | \(0.483799\pi\) | |||||||
\(90\) | 16.6853 | + | 0.867564i | 1.75879 | + | 0.0914492i | ||||
\(91\) | −1.45870 | − | 4.83106i | −0.152913 | − | 0.506433i | ||||
\(92\) | 3.82222 | + | 0.398556i | 0.398494 | + | 0.0415523i | ||||
\(93\) | −14.4759 | − | 1.90578i | −1.50108 | − | 0.197620i | ||||
\(94\) | −5.53658 | + | 0.438028i | −0.571054 | + | 0.0451791i | ||||
\(95\) | −8.35621 | − | 14.4734i | −0.857329 | − | 1.48494i | ||||
\(96\) | 11.2357 | − | 11.2819i | 1.14674 | − | 1.15146i | ||||
\(97\) | 12.6228 | 1.28165 | 0.640824 | − | 0.767687i | \(-0.278593\pi\) | ||||
0.640824 | + | 0.767687i | \(0.278593\pi\) | |||||||
\(98\) | 9.10401 | − | 3.88807i | 0.919643 | − | 0.392754i | ||||
\(99\) | −4.74360 | − | 11.4521i | −0.476750 | − | 1.15098i | ||||
\(100\) | −1.23049 | − | 0.892456i | −0.123049 | − | 0.0892456i | ||||
\(101\) | −0.337706 | − | 2.56513i | −0.0336030 | − | 0.255240i | 0.966395 | − | 0.257060i | \(-0.0827539\pi\) |
−0.999998 | + | 0.00182026i | \(0.999421\pi\) | |||||||
\(102\) | −10.5658 | − | 20.7156i | −1.04617 | − | 2.05115i | ||||
\(103\) | −8.19958 | + | 2.19707i | −0.807929 | + | 0.216484i | −0.639062 | − | 0.769155i | \(-0.720677\pi\) |
−0.168866 | + | 0.985639i | \(0.554011\pi\) | |||||||
\(104\) | −3.17643 | − | 4.36066i | −0.311475 | − | 0.427598i | ||||
\(105\) | 17.7846 | + | 1.77475i | 1.73559 | + | 0.173198i | ||||
\(106\) | −5.19072 | + | 4.67761i | −0.504167 | + | 0.454330i | ||||
\(107\) | −0.311724 | − | 0.406246i | −0.0301355 | − | 0.0392733i | 0.778043 | − | 0.628212i | \(-0.216213\pi\) |
−0.808178 | + | 0.588938i | \(0.799546\pi\) | |||||||
\(108\) | −7.44362 | + | 7.85687i | −0.716263 | + | 0.756027i | ||||
\(109\) | −5.02982 | − | 3.85952i | −0.481770 | − | 0.369675i | 0.339137 | − | 0.940737i | \(-0.389865\pi\) |
−0.820907 | + | 0.571062i | \(0.806532\pi\) | |||||||
\(110\) | −1.55407 | + | 8.40431i | −0.148175 | + | 0.801319i | ||||
\(111\) | 9.59744i | 0.910949i | ||||||||
\(112\) | 7.81565 | − | 7.13552i | 0.738509 | − | 0.674243i | ||||
\(113\) | − | 12.0501i | − | 1.13358i | −0.823862 | − | 0.566791i | \(-0.808185\pi\) | ||
0.823862 | − | 0.566791i | \(-0.191815\pi\) | |||||||
\(114\) | 27.2568 | + | 5.04016i | 2.55283 | + | 0.472054i | ||||
\(115\) | 3.65859 | + | 2.80733i | 0.341165 | + | 0.261785i | ||||
\(116\) | 18.5130 | − | 0.500008i | 1.71889 | − | 0.0464245i | ||||
\(117\) | 5.71584 | + | 7.44902i | 0.528429 | + | 0.688662i | ||||
\(118\) | 5.03465 | + | 5.58692i | 0.463477 | + | 0.514318i | ||||
\(119\) | −6.36083 | − | 14.0869i | −0.583096 | − | 1.29134i | ||||
\(120\) | 18.5735 | − | 4.48333i | 1.69552 | − | 0.409270i | ||||
\(121\) | −4.50034 | + | 1.20586i | −0.409122 | + | 0.109624i | ||||
\(122\) | 9.66024 | − | 4.92714i | 0.874597 | − | 0.446082i | ||||
\(123\) | 2.53008 | + | 19.2179i | 0.228130 | + | 1.73282i | ||||
\(124\) | −10.2456 | + | 1.63137i | −0.920078 | + | 0.146501i | ||||
\(125\) | 3.89417 | + | 9.40136i | 0.348305 | + | 0.840883i | ||||
\(126\) | −13.2883 | + | 12.7541i | −1.18382 | + | 1.13622i | ||||
\(127\) | 4.16383 | 0.369481 | 0.184740 | − | 0.982787i | \(-0.440856\pi\) | ||||
0.184740 | + | 0.982787i | \(0.440856\pi\) | |||||||
\(128\) | 5.36981 | − | 9.95817i | 0.474629 | − | 0.880186i | ||||
\(129\) | −7.16039 | − | 12.4022i | −0.630437 | − | 1.09195i | ||||
\(130\) | −0.510590 | − | 6.45375i | −0.0447817 | − | 0.566031i | ||||
\(131\) | 5.87422 | + | 0.773355i | 0.513233 | + | 0.0675684i | 0.382695 | − | 0.923875i | \(-0.374996\pi\) |
0.130538 | + | 0.991443i | \(0.458329\pi\) | |||||||
\(132\) | −8.92999 | − | 11.0091i | −0.777256 | − | 0.958220i | ||||
\(133\) | 17.9370 | + | 4.20668i | 1.55533 | + | 0.364765i | ||||
\(134\) | 0.504955 | − | 9.71148i | 0.0436215 | − | 0.838944i | ||||
\(135\) | −12.5451 | + | 3.36145i | −1.07971 | + | 0.289308i | ||||
\(136\) | −11.3888 | − | 11.9717i | −0.976586 | − | 1.02657i | ||||
\(137\) | 0.764393 | + | 0.204819i | 0.0653065 | + | 0.0174988i | 0.291324 | − | 0.956624i | \(-0.405904\pi\) |
−0.226018 | + | 0.974123i | \(0.572571\pi\) | |||||||
\(138\) | −7.48082 | + | 1.59331i | −0.636810 | + | 0.135632i | ||||
\(139\) | 4.52992 | − | 10.9362i | 0.384223 | − | 0.927597i | −0.606916 | − | 0.794766i | \(-0.707593\pi\) |
0.991139 | − | 0.132830i | \(-0.0424065\pi\) | |||||||
\(140\) | 12.4727 | − | 2.39019i | 1.05413 | − | 0.202008i | ||||
\(141\) | 10.2125 | − | 4.23014i | 0.860044 | − | 0.356242i | ||||
\(142\) | −15.0050 | − | 2.77464i | −1.25919 | − | 0.232842i | ||||
\(143\) | −4.15954 | + | 2.40151i | −0.347838 | + | 0.200825i | ||||
\(144\) | −8.91037 | + | 17.5589i | −0.742531 | + | 1.46324i | ||||
\(145\) | 19.2463 | + | 11.1119i | 1.59832 | + | 0.922791i | ||||
\(146\) | −14.0865 | + | 4.99480i | −1.16580 | + | 0.413372i | ||||
\(147\) | −14.8469 | + | 12.9529i | −1.22455 | + | 1.06833i | ||||
\(148\) | 1.94221 | + | 6.53707i | 0.159649 | + | 0.537344i | ||||
\(149\) | −8.48224 | − | 11.0543i | −0.694892 | − | 0.905601i | 0.304000 | − | 0.952672i | \(-0.401678\pi\) |
−0.998892 | + | 0.0470715i | \(0.985011\pi\) | |||||||
\(150\) | 2.87768 | + | 0.933707i | 0.234962 | + | 0.0762369i | ||||
\(151\) | −17.1811 | − | 4.60367i | −1.39818 | − | 0.374642i | −0.520490 | − | 0.853868i | \(-0.674251\pi\) |
−0.877692 | + | 0.479226i | \(0.840918\pi\) | |||||||
\(152\) | 19.5853 | − | 2.08291i | 1.58858 | − | 0.168947i | ||||
\(153\) | 20.3347 | + | 20.3347i | 1.64396 | + | 1.64396i | ||||
\(154\) | −5.58118 | − | 7.59098i | −0.449745 | − | 0.611699i | ||||
\(155\) | −11.5019 | − | 4.76425i | −0.923856 | − | 0.382674i | ||||
\(156\) | 8.69200 | + | 6.30420i | 0.695917 | + | 0.504740i | ||||
\(157\) | −2.38799 | + | 3.11209i | −0.190583 | + | 0.248372i | −0.878865 | − | 0.477071i | \(-0.841698\pi\) |
0.688282 | + | 0.725443i | \(0.258365\pi\) | |||||||
\(158\) | −12.1984 | + | 0.965083i | −0.970456 | + | 0.0767779i | ||||
\(159\) | 6.95350 | − | 12.0438i | 0.551448 | − | 0.955137i | ||||
\(160\) | 11.7436 | − | 6.81239i | 0.928414 | − | 0.538567i | ||||
\(161\) | −5.01690 | + | 0.821659i | −0.395387 | + | 0.0647558i | ||||
\(162\) | 0.282304 | − | 0.592490i | 0.0221799 | − | 0.0465504i | ||||
\(163\) | −7.11973 | − | 0.937331i | −0.557661 | − | 0.0734174i | −0.153572 | − | 0.988137i | \(-0.549078\pi\) |
−0.404088 | + | 0.914720i | \(0.632411\pi\) | |||||||
\(164\) | 5.61239 | + | 12.5778i | 0.438254 | + | 0.982161i | ||||
\(165\) | −2.22034 | − | 16.8651i | −0.172853 | − | 1.31295i | ||||
\(166\) | 8.20562 | − | 12.6469i | 0.636880 | − | 0.981592i | ||||
\(167\) | −7.05741 | − | 7.05741i | −0.546119 | − | 0.546119i | 0.379197 | − | 0.925316i | \(-0.376200\pi\) |
−0.925316 | + | 0.379197i | \(0.876200\pi\) | |||||||
\(168\) | −10.4131 | + | 18.3094i | −0.803385 | + | 1.41260i | ||||
\(169\) | −6.61984 | + | 6.61984i | −0.509218 | + | 0.509218i | ||||
\(170\) | −4.13051 | − | 19.3933i | −0.316796 | − | 1.48740i | ||||
\(171\) | −33.9851 | + | 4.47423i | −2.59891 | + | 0.342153i | ||||
\(172\) | −7.38693 | − | 6.99841i | −0.563248 | − | 0.533623i | ||||
\(173\) | −0.856088 | + | 6.50263i | −0.0650871 | + | 0.494386i | 0.927591 | + | 0.373597i | \(0.121876\pi\) |
−0.992678 | + | 0.120789i | \(0.961458\pi\) | |||||||
\(174\) | −34.7406 | + | 12.3183i | −2.63367 | + | 0.933851i | ||||
\(175\) | 1.88105 | + | 0.710743i | 0.142194 | + | 0.0537271i | ||||
\(176\) | −8.31034 | − | 5.69145i | −0.626416 | − | 0.429009i | ||||
\(177\) | −12.9631 | − | 7.48425i | −0.974367 | − | 0.562551i | ||||
\(178\) | 3.62603 | − | 4.24907i | 0.271782 | − | 0.318481i | ||||
\(179\) | 15.7076 | + | 12.0529i | 1.17404 | + | 0.900874i | 0.996529 | − | 0.0832449i | \(-0.0265284\pi\) |
0.177512 | + | 0.984119i | \(0.443195\pi\) | |||||||
\(180\) | −20.1364 | + | 12.3624i | −1.50088 | + | 0.921438i | ||||
\(181\) | 5.19916 | − | 12.5519i | 0.386450 | − | 0.932973i | −0.604236 | − | 0.796806i | \(-0.706521\pi\) |
0.990686 | − | 0.136168i | \(-0.0434786\pi\) | |||||||
\(182\) | 5.57170 | + | 4.45982i | 0.413002 | + | 0.330584i | ||||
\(183\) | −15.2616 | + | 15.2616i | −1.12817 | + | 1.12817i | ||||
\(184\) | −4.77295 | + | 2.59912i | −0.351866 | + | 0.191610i | ||||
\(185\) | −2.11802 | + | 7.90457i | −0.155720 | + | 0.581155i | ||||
\(186\) | 18.3942 | − | 9.38183i | 1.34873 | − | 0.687909i | ||||
\(187\) | −11.6708 | + | 8.95533i | −0.853454 | + | 0.654879i | ||||
\(188\) | 6.09993 | − | 4.94793i | 0.444883 | − | 0.360865i | ||||
\(189\) | 6.76549 | − | 12.6182i | 0.492117 | − | 0.917841i | ||||
\(190\) | 21.3367 | + | 10.1663i | 1.54793 | + | 0.737543i | ||||
\(191\) | 3.35172 | − | 5.80536i | 0.242522 | − | 0.420061i | −0.718910 | − | 0.695103i | \(-0.755359\pi\) |
0.961432 | + | 0.275042i | \(0.0886919\pi\) | |||||||
\(192\) | −4.04891 | + | 22.1507i | −0.292205 | + | 1.59859i | ||||
\(193\) | −6.41438 | − | 11.1100i | −0.461717 | − | 0.799718i | 0.537329 | − | 0.843373i | \(-0.319433\pi\) |
−0.999047 | + | 0.0436545i | \(0.986100\pi\) | |||||||
\(194\) | −14.7076 | + | 10.1171i | −1.05594 | + | 0.726368i | ||||
\(195\) | 4.93089 | + | 11.9042i | 0.353108 | + | 0.852478i | ||||
\(196\) | −7.49135 | + | 11.8271i | −0.535097 | + | 0.844791i | ||||
\(197\) | −7.51399 | − | 3.11240i | −0.535349 | − | 0.221749i | 0.0985949 | − | 0.995128i | \(-0.468565\pi\) |
−0.633944 | + | 0.773379i | \(0.718565\pi\) | |||||||
\(198\) | 14.7059 | + | 9.54152i | 1.04510 | + | 0.678086i | ||||
\(199\) | 6.12203 | − | 22.8477i | 0.433980 | − | 1.61963i | −0.309517 | − | 0.950894i | \(-0.600167\pi\) |
0.743497 | − | 0.668740i | \(-0.233166\pi\) | |||||||
\(200\) | 2.14902 | + | 0.0536226i | 0.151958 | + | 0.00379169i | ||||
\(201\) | 5.00941 | + | 18.6954i | 0.353336 | + | 1.31867i | ||||
\(202\) | 2.44943 | + | 2.71812i | 0.172341 | + | 0.191246i | ||||
\(203\) | −23.4535 | + | 7.08158i | −1.64611 | + | 0.497030i | ||||
\(204\) | 28.9144 | + | 15.6685i | 2.02441 | + | 1.09701i | ||||
\(205\) | −2.15732 | + | 16.3864i | −0.150673 | + | 1.14448i | ||||
\(206\) | 7.79288 | − | 9.13189i | 0.542956 | − | 0.636249i | ||||
\(207\) | 8.19140 | − | 4.72931i | 0.569342 | − | 0.328710i | ||||
\(208\) | 7.19612 | + | 2.53497i | 0.498961 | + | 0.175769i | ||||
\(209\) | − | 17.5349i | − | 1.21291i | ||||||
\(210\) | −22.1443 | + | 12.1864i | −1.52810 | + | 0.840943i | ||||
\(211\) | 11.1803 | − | 4.63103i | 0.769683 | − | 0.318813i | 0.0369388 | − | 0.999318i | \(-0.488239\pi\) |
0.732744 | + | 0.680505i | \(0.238239\pi\) | |||||||
\(212\) | 2.29893 | − | 9.61053i | 0.157891 | − | 0.660054i | ||||
\(213\) | 30.1109 | − | 3.96418i | 2.06317 | − | 0.271621i | ||||
\(214\) | 0.688814 | + | 0.223496i | 0.0470864 | + | 0.0152779i | ||||
\(215\) | −3.16040 | − | 11.7948i | −0.215537 | − | 0.804397i | ||||
\(216\) | 2.37576 | − | 15.1206i | 0.161650 | − | 1.02882i | ||||
\(217\) | 12.5083 | − | 5.64803i | 0.849118 | − | 0.383413i | ||||
\(218\) | 8.95395 | + | 0.465567i | 0.606438 | + | 0.0315322i | ||||
\(219\) | 23.5996 | − | 18.1086i | 1.59471 | − | 1.22366i | ||||
\(220\) | −4.92529 | − | 11.0380i | −0.332063 | − | 0.744179i | ||||
\(221\) | 6.78337 | − | 8.84026i | 0.456299 | − | 0.594660i | ||||
\(222\) | −7.69233 | − | 11.1826i | −0.516276 | − | 0.750525i | ||||
\(223\) | −16.0197 | −1.07276 | −0.536380 | − | 0.843977i | \(-0.680209\pi\) | ||||
−0.536380 | + | 0.843977i | \(0.680209\pi\) | |||||||
\(224\) | −3.38738 | + | 14.5783i | −0.226329 | + | 0.974051i | ||||
\(225\) | −3.74130 | −0.249420 | ||||||||
\(226\) | 9.65817 | + | 14.0404i | 0.642452 | + | 0.933951i | ||||
\(227\) | 14.1416 | − | 18.4296i | 0.938608 | − | 1.22322i | −0.0360112 | − | 0.999351i | \(-0.511465\pi\) |
0.974620 | − | 0.223867i | \(-0.0718681\pi\) | |||||||
\(228\) | −35.7982 | + | 15.9737i | −2.37080 | + | 1.05788i | ||||
\(229\) | −15.0628 | + | 11.5581i | −0.995375 | + | 0.763778i | −0.971767 | − | 0.235943i | \(-0.924182\pi\) |
−0.0236079 | + | 0.999721i | \(0.507515\pi\) | |||||||
\(230\) | −6.51292 | − | 0.338643i | −0.429449 | − | 0.0223295i | ||||
\(231\) | 15.2288 | + | 10.9425i | 1.00198 | + | 0.719964i | ||||
\(232\) | −21.1699 | + | 15.4207i | −1.38987 | + | 1.01242i | ||||
\(233\) | −1.35571 | − | 5.05959i | −0.0888157 | − | 0.331465i | 0.907194 | − | 0.420713i | \(-0.138220\pi\) |
−0.996009 | + | 0.0892485i | \(0.971553\pi\) | |||||||
\(234\) | −12.6302 | − | 4.09808i | −0.825665 | − | 0.267900i | ||||
\(235\) | 9.34463 | − | 1.23024i | 0.609576 | − | 0.0802523i | ||||
\(236\) | −10.3441 | − | 2.47440i | −0.673342 | − | 0.161070i | ||||
\(237\) | 22.5006 | − | 9.32004i | 1.46157 | − | 0.605401i | ||||
\(238\) | 18.7020 | + | 11.3153i | 1.21227 | + | 0.733461i | ||||
\(239\) | 1.07070i | 0.0692579i | 0.999400 | + | 0.0346290i | \(0.0110249\pi\) | ||||
−0.999400 | + | 0.0346290i | \(0.988975\pi\) | |||||||
\(240\) | −18.0477 | + | 20.1104i | −1.16498 | + | 1.29812i | ||||
\(241\) | 20.0585 | − | 11.5808i | 1.29208 | − | 0.745983i | 0.313057 | − | 0.949734i | \(-0.398647\pi\) |
0.979023 | + | 0.203752i | \(0.0653135\pi\) | |||||||
\(242\) | 4.27713 | − | 5.01204i | 0.274944 | − | 0.322186i | ||||
\(243\) | 1.94853 | − | 14.8006i | 0.124998 | − | 0.949457i | ||||
\(244\) | −7.30664 | + | 13.4836i | −0.467760 | + | 0.863197i | ||||
\(245\) | −15.0866 | + | 7.39164i | −0.963847 | + | 0.472234i | ||||
\(246\) | −18.3511 | − | 20.3641i | −1.17002 | − | 1.29837i | ||||
\(247\) | 3.43766 | + | 12.8295i | 0.218733 | + | 0.816323i | ||||
\(248\) | 10.6302 | − | 10.1126i | 0.675017 | − | 0.642151i | ||||
\(249\) | −7.76591 | + | 28.9828i | −0.492145 | + | 1.83671i | ||||
\(250\) | −12.0725 | − | 7.83293i | −0.763532 | − | 0.495398i | ||||
\(251\) | 17.9949 | + | 7.45374i | 1.13583 | + | 0.470476i | 0.869758 | − | 0.493478i | \(-0.164275\pi\) |
0.266071 | + | 0.963954i | \(0.414275\pi\) | |||||||
\(252\) | 5.26067 | − | 25.5111i | 0.331391 | − | 1.60705i | ||||
\(253\) | 1.85161 | + | 4.47018i | 0.116410 | + | 0.281038i | ||||
\(254\) | −4.85154 | + | 3.33731i | −0.304413 | + | 0.209401i | ||||
\(255\) | 19.7322 | + | 34.1771i | 1.23568 | + | 2.14025i | ||||
\(256\) | 1.72476 | + | 15.9068i | 0.107798 | + | 0.994173i | ||||
\(257\) | 2.67709 | − | 4.63685i | 0.166992 | − | 0.289239i | −0.770369 | − | 0.637599i | \(-0.779928\pi\) |
0.937361 | + | 0.348360i | \(0.113261\pi\) | |||||||
\(258\) | 18.2833 | + | 8.71148i | 1.13827 | + | 0.542353i | ||||
\(259\) | −4.75401 | − | 7.66707i | −0.295400 | − | 0.476409i | ||||
\(260\) | 5.76759 | + | 7.11042i | 0.357691 | + | 0.440969i | ||||
\(261\) | 36.1630 | − | 27.7489i | 2.23843 | − | 1.71761i | ||||
\(262\) | −7.46425 | + | 3.80709i | −0.461143 | + | 0.235203i | ||||
\(263\) | −4.04719 | + | 15.1043i | −0.249561 | + | 0.931373i | 0.721475 | + | 0.692440i | \(0.243464\pi\) |
−0.971036 | + | 0.238933i | \(0.923202\pi\) | |||||||
\(264\) | 19.2287 | + | 5.67001i | 1.18344 | + | 0.348965i | ||||
\(265\) | 8.38489 | − | 8.38489i | 0.515080 | − | 0.515080i | ||||
\(266\) | −24.2711 | + | 9.47500i | −1.48816 | + | 0.580950i | ||||
\(267\) | −4.25455 | + | 10.2714i | −0.260374 | + | 0.628599i | ||||
\(268\) | 7.19538 | + | 11.7202i | 0.439528 | + | 0.715922i | ||||
\(269\) | −12.9654 | − | 9.94868i | −0.790513 | − | 0.606582i | 0.132574 | − | 0.991173i | \(-0.457676\pi\) |
−0.923087 | + | 0.384591i | \(0.874342\pi\) | |||||||
\(270\) | 11.9229 | − | 13.9715i | 0.725604 | − | 0.850280i | ||||
\(271\) | −6.21779 | − | 3.58984i | −0.377704 | − | 0.218068i | 0.299115 | − | 0.954217i | \(-0.403309\pi\) |
−0.676819 | + | 0.736150i | \(0.736642\pi\) | |||||||
\(272\) | 22.8652 | + | 4.82087i | 1.38640 | + | 0.292308i | ||||
\(273\) | −13.2875 | − | 5.02060i | −0.804196 | − | 0.303861i | ||||
\(274\) | −1.05480 | + | 0.374013i | −0.0637230 | + | 0.0225950i | ||||
\(275\) | 0.249806 | − | 1.89747i | 0.0150639 | − | 0.114421i | ||||
\(276\) | 7.43933 | − | 7.85233i | 0.447795 | − | 0.472655i | ||||
\(277\) | −1.51574 | + | 0.199551i | −0.0910718 | + | 0.0119898i | −0.175924 | − | 0.984404i | \(-0.556291\pi\) |
0.0848525 | + | 0.996394i | \(0.472958\pi\) | |||||||
\(278\) | 3.48726 | + | 16.3732i | 0.209152 | + | 0.981997i | ||||
\(279\) | −18.0560 | + | 18.0560i | −1.08098 | + | 1.08098i | ||||
\(280\) | −12.6169 | + | 12.7818i | −0.754007 | + | 0.763858i | ||||
\(281\) | −20.6059 | − | 20.6059i | −1.22925 | − | 1.22925i | −0.964249 | − | 0.264997i | \(-0.914629\pi\) |
−0.264997 | − | 0.964249i | \(-0.585371\pi\) | |||||||
\(282\) | −8.50870 | + | 13.1141i | −0.506686 | + | 0.780930i | ||||
\(283\) | −0.145302 | − | 1.10368i | −0.00863728 | − | 0.0656067i | 0.986583 | − | 0.163258i | \(-0.0522003\pi\) |
−0.995221 | + | 0.0976514i | \(0.968867\pi\) | |||||||
\(284\) | 19.7071 | − | 8.79359i | 1.16940 | − | 0.521804i | ||||
\(285\) | −46.6382 | − | 6.14003i | −2.76261 | − | 0.363704i | ||||
\(286\) | 2.92173 | − | 6.13202i | 0.172765 | − | 0.362594i | ||||
\(287\) | −11.5406 | − | 14.0993i | −0.681221 | − | 0.832253i | ||||
\(288\) | −3.69140 | − | 27.6006i | −0.217518 | − | 1.62638i | ||||
\(289\) | 8.56428 | − | 14.8338i | 0.503781 | − | 0.872575i | ||||
\(290\) | −31.3312 | + | 2.47878i | −1.83983 | + | 0.145559i | ||||
\(291\) | 21.6290 | − | 28.1874i | 1.26791 | − | 1.65237i | ||||
\(292\) | 12.4097 | − | 17.1100i | 0.726222 | − | 1.00129i | ||||
\(293\) | −19.5257 | − | 8.08783i | −1.14071 | − | 0.472496i | −0.269299 | − | 0.963057i | \(-0.586792\pi\) |
−0.871407 | + | 0.490561i | \(0.836792\pi\) | |||||||
\(294\) | 6.91730 | − | 26.9919i | 0.403425 | − | 1.57420i | ||||
\(295\) | −9.02490 | − | 9.02490i | −0.525450 | − | 0.525450i | ||||
\(296\) | −7.50244 | − | 6.06006i | −0.436071 | − | 0.352234i | ||||
\(297\) | −13.1625 | − | 3.52688i | −0.763765 | − | 0.204650i | ||||
\(298\) | 18.7431 | + | 6.08150i | 1.08576 | + | 0.352292i | ||||
\(299\) | −2.23111 | − | 2.90764i | −0.129028 | − | 0.168153i | ||||
\(300\) | −4.10133 | + | 1.21854i | −0.236790 | + | 0.0703522i | ||||
\(301\) | 11.8635 | + | 6.36083i | 0.683801 | + | 0.366632i | ||||
\(302\) | 23.7086 | − | 8.40664i | 1.36428 | − | 0.483748i | ||||
\(303\) | −6.30674 | − | 3.64120i | −0.362313 | − | 0.209181i | ||||
\(304\) | −21.1506 | + | 18.1245i | −1.21307 | + | 1.03951i | ||||
\(305\) | −15.9377 | + | 9.20164i | −0.912591 | + | 0.526884i | ||||
\(306\) | −39.9914 | − | 7.39496i | −2.28615 | − | 0.422742i | ||||
\(307\) | 14.5688 | − | 6.03459i | 0.831485 | − | 0.344412i | 0.0739948 | − | 0.997259i | \(-0.476425\pi\) |
0.757491 | + | 0.652846i | \(0.226425\pi\) | |||||||
\(308\) | 12.5871 | + | 4.37141i | 0.717219 | + | 0.249084i | ||||
\(309\) | −9.14368 | + | 22.0748i | −0.520166 | + | 1.25579i | ||||
\(310\) | 17.2201 | − | 3.66765i | 0.978037 | − | 0.208308i | ||||
\(311\) | −4.54949 | − | 1.21903i | −0.257978 | − | 0.0691250i | 0.127512 | − | 0.991837i | \(-0.459301\pi\) |
−0.385490 | + | 0.922712i | \(0.625968\pi\) | |||||||
\(312\) | −15.1804 | − | 0.378784i | −0.859420 | − | 0.0214444i | ||||
\(313\) | −2.49854 | + | 0.669481i | −0.141226 | + | 0.0378413i | −0.328739 | − | 0.944421i | \(-0.606624\pi\) |
0.187514 | + | 0.982262i | \(0.439957\pi\) | |||||||
\(314\) | 0.288059 | − | 5.54006i | 0.0162561 | − | 0.312644i | ||||
\(315\) | 21.3968 | − | 22.7862i | 1.20557 | − | 1.28386i | ||||
\(316\) | 13.4396 | − | 10.9015i | 0.756039 | − | 0.613258i | ||||
\(317\) | 0.0966973 | + | 0.0127304i | 0.00543106 | + | 0.000715013i | 0.133241 | − | 0.991084i | \(-0.457461\pi\) |
−0.127810 | + | 0.991799i | \(0.540795\pi\) | |||||||
\(318\) | 1.55115 | + | 19.6062i | 0.0869842 | + | 1.09946i | ||||
\(319\) | 11.6587 | + | 20.1935i | 0.652762 | + | 1.13062i | ||||
\(320\) | −8.22308 | + | 17.3500i | −0.459684 | + | 0.969895i | ||||
\(321\) | −1.44131 | −0.0804459 | ||||||||
\(322\) | 5.18694 | − | 4.97840i | 0.289057 | − | 0.277436i | ||||
\(323\) | 15.5677 | + | 37.5839i | 0.866213 | + | 2.09122i | ||||
\(324\) | 0.145950 | + | 0.916613i | 0.00810831 | + | 0.0509229i | ||||
\(325\) | 0.189220 | + | 1.43727i | 0.0104960 | + | 0.0797253i | ||||
\(326\) | 9.04691 | − | 4.61431i | 0.501062 | − | 0.255563i | ||||
\(327\) | −17.2371 | + | 4.61866i | −0.953212 | + | 0.255412i | ||||
\(328\) | −16.6204 | − | 10.1568i | −0.917710 | − | 0.560818i | ||||
\(329\) | −6.06302 | + | 8.43796i | −0.334265 | + | 0.465200i | ||||
\(330\) | 16.1044 | + | 17.8710i | 0.886520 | + | 0.983766i | ||||
\(331\) | −11.6822 | − | 15.2246i | −0.642113 | − | 0.836818i | 0.352993 | − | 0.935626i | \(-0.385164\pi\) |
−0.995107 | + | 0.0988075i | \(0.968497\pi\) | |||||||
\(332\) | 0.575618 | + | 21.3125i | 0.0315911 | + | 1.16968i | ||||
\(333\) | 13.3162 | + | 10.2179i | 0.729726 | + | 0.559938i | ||||
\(334\) | 13.8795 | + | 2.56652i | 0.759454 | + | 0.140434i | ||||
\(335\) | 16.5032i | 0.901668i | ||||||||
\(336\) | −2.54203 | − | 29.6794i | −0.138679 | − | 1.61914i | ||||
\(337\) | 23.0585i | 1.25608i | 0.778183 | + | 0.628038i | \(0.216142\pi\) | ||||
−0.778183 | + | 0.628038i | \(0.783858\pi\) | |||||||
\(338\) | 2.40739 | − | 13.0190i | 0.130945 | − | 0.708138i | ||||
\(339\) | −26.9087 | − | 20.6477i | −1.46148 | − | 1.12143i | ||||
\(340\) | 20.3564 | + | 19.2858i | 1.10398 | + | 1.04592i | ||||
\(341\) | −7.95179 | − | 10.3630i | −0.430614 | − | 0.561187i | ||||
\(342\) | 36.0120 | − | 32.4522i | 1.94731 | − | 1.75481i | ||||
\(343\) | 5.44457 | − | 17.7019i | 0.293979 | − | 0.955812i | ||||
\(344\) | 14.2162 | + | 2.23366i | 0.766485 | + | 0.120431i | ||||
\(345\) | 12.5379 | − | 3.35951i | 0.675016 | − | 0.180870i | ||||
\(346\) | −4.21437 | − | 8.26277i | −0.226566 | − | 0.444209i | ||||
\(347\) | 3.79981 | + | 28.8624i | 0.203984 | + | 1.54941i | 0.720694 | + | 0.693254i | \(0.243823\pi\) |
−0.516709 | + | 0.856161i | \(0.672843\pi\) | |||||||
\(348\) | 30.6052 | − | 42.1973i | 1.64061 | − | 2.26202i | ||||
\(349\) | 2.50585 | + | 6.04966i | 0.134135 | + | 0.323831i | 0.976648 | − | 0.214845i | \(-0.0689247\pi\) |
−0.842513 | + | 0.538676i | \(0.818925\pi\) | |||||||
\(350\) | −2.76138 | + | 0.679527i | −0.147602 | + | 0.0363222i | ||||
\(351\) | 10.3219 | 0.550940 | ||||||||
\(352\) | 14.2446 | − | 0.0292714i | 0.759239 | − | 0.00156017i | ||||
\(353\) | 6.63400 | + | 11.4904i | 0.353092 | + | 0.611574i | 0.986790 | − | 0.162008i | \(-0.0517969\pi\) |
−0.633697 | + | 0.773581i | \(0.718464\pi\) | |||||||
\(354\) | 21.1027 | − | 1.66955i | 1.12160 | − | 0.0887354i | ||||
\(355\) | 25.6746 | + | 3.38012i | 1.36266 | + | 0.179398i | ||||
\(356\) | −0.819286 | + | 7.85710i | −0.0434221 | + | 0.416426i | ||||
\(357\) | −42.3560 | − | 9.93356i | −2.24172 | − | 0.525740i | ||||
\(358\) | −27.9622 | − | 1.45392i | −1.47785 | − | 0.0768418i | ||||
\(359\) | −26.2813 | + | 7.04206i | −1.38708 | + | 0.371666i | −0.873686 | − | 0.486490i | \(-0.838277\pi\) |
−0.513389 | + | 0.858156i | \(0.671610\pi\) | |||||||
\(360\) | 13.5537 | − | 30.5435i | 0.714345 | − | 1.60978i | ||||
\(361\) | −28.4854 | − | 7.63263i | −1.49923 | − | 0.401717i | ||||
\(362\) | 4.00245 | + | 18.7921i | 0.210364 | + | 0.987689i | ||||
\(363\) | −5.01851 | + | 12.1158i | −0.263404 | + | 0.635912i | ||||
\(364\) | −10.0665 | − | 0.730702i | −0.527627 | − | 0.0382992i | ||||
\(365\) | 23.4332 | − | 9.70635i | 1.22655 | − | 0.508053i | ||||
\(366\) | 5.55009 | − | 30.0145i | 0.290108 | − | 1.56888i | ||||
\(367\) | −15.6885 | + | 9.05776i | −0.818933 | + | 0.472811i | −0.850048 | − | 0.526705i | \(-0.823427\pi\) |
0.0311155 | + | 0.999516i | \(0.490094\pi\) | |||||||
\(368\) | 3.47806 | − | 6.85391i | 0.181306 | − | 0.357285i | ||||
\(369\) | 29.3581 | + | 16.9499i | 1.52832 | + | 0.882376i | ||||
\(370\) | −3.86766 | − | 10.9077i | −0.201070 | − | 0.567064i | ||||
\(371\) | 0.410886 | + | 13.0658i | 0.0213321 | + | 0.678340i | ||||
\(372\) | −13.9127 | + | 25.6743i | −0.721338 | + | 1.33115i | ||||
\(373\) | 12.7858 | + | 16.6627i | 0.662022 | + | 0.862764i | 0.996833 | − | 0.0795215i | \(-0.0253392\pi\) |
−0.334811 | + | 0.942285i | \(0.608673\pi\) | |||||||
\(374\) | 6.42070 | − | 19.7885i | 0.332006 | − | 1.02324i | ||||
\(375\) | 27.6664 | + | 7.41319i | 1.42869 | + | 0.382815i | ||||
\(376\) | −3.14164 | + | 10.6542i | −0.162018 | + | 0.549449i | ||||
\(377\) | −12.4891 | − | 12.4891i | −0.643219 | − | 0.643219i | ||||
\(378\) | 2.23060 | + | 20.1248i | 0.114730 | + | 1.03511i | ||||
\(379\) | −26.0016 | − | 10.7702i | −1.33561 | − | 0.553229i | −0.403361 | − | 0.915041i | \(-0.632158\pi\) |
−0.932251 | + | 0.361812i | \(0.882158\pi\) | |||||||
\(380\) | −33.0090 | + | 5.25593i | −1.69333 | + | 0.269624i | ||||
\(381\) | 7.13467 | − | 9.29809i | 0.365520 | − | 0.476355i | ||||
\(382\) | 0.747685 | + | 9.45058i | 0.0382549 | + | 0.483534i | ||||
\(383\) | 2.85738 | − | 4.94912i | 0.146005 | − | 0.252888i | −0.783742 | − | 0.621086i | \(-0.786692\pi\) |
0.929748 | + | 0.368198i | \(0.120025\pi\) | |||||||
\(384\) | −13.0361 | − | 29.0543i | −0.665245 | − | 1.48267i | ||||
\(385\) | 10.1278 | + | 12.3732i | 0.516158 | + | 0.630595i | ||||
\(386\) | 16.3785 | + | 7.80387i | 0.833642 | + | 0.397206i | ||||
\(387\) | −24.8311 | − | 3.26907i | −1.26223 | − | 0.166176i | ||||
\(388\) | 9.02782 | − | 23.5762i | 0.458318 | − | 1.19690i | ||||
\(389\) | 2.28731 | + | 17.3738i | 0.115971 | + | 0.880889i | 0.946226 | + | 0.323505i | \(0.104861\pi\) |
−0.830255 | + | 0.557384i | \(0.811805\pi\) | |||||||
\(390\) | −15.2865 | − | 9.91823i | −0.774061 | − | 0.502229i | ||||
\(391\) | −7.93740 | − | 7.93740i | −0.401412 | − | 0.401412i | ||||
\(392\) | −0.750745 | − | 19.7848i | −0.0379183 | − | 0.999281i | ||||
\(393\) | 11.7923 | − | 11.7923i | 0.594845 | − | 0.594845i | ||||
\(394\) | 11.2496 | − | 2.39601i | 0.566746 | − | 0.120709i | ||||
\(395\) | 20.5885 | − | 2.71053i | 1.03592 | − | 0.136382i | ||||
\(396\) | −24.7822 | + | 0.669330i | −1.24535 | + | 0.0336351i | ||||
\(397\) | 0.336576 | − | 2.55655i | 0.0168923 | − | 0.128309i | −0.980921 | − | 0.194407i | \(-0.937722\pi\) |
0.997813 | + | 0.0660979i | \(0.0210550\pi\) | |||||||
\(398\) | 11.1793 | + | 31.5281i | 0.560366 | + | 1.58036i | ||||
\(399\) | 40.1285 | − | 32.8462i | 2.00894 | − | 1.64437i | ||||
\(400\) | −2.54693 | + | 1.65995i | −0.127346 | + | 0.0829977i | ||||
\(401\) | 18.2466 | + | 10.5347i | 0.911190 | + | 0.526076i | 0.880814 | − | 0.473463i | \(-0.156996\pi\) |
0.0303763 | + | 0.999539i | \(0.490329\pi\) | |||||||
\(402\) | −20.8211 | − | 17.7681i | −1.03846 | − | 0.886191i | ||||
\(403\) | 7.84962 | + | 6.02322i | 0.391017 | + | 0.300038i | ||||
\(404\) | −5.03255 | − | 1.20383i | −0.250379 | − | 0.0598930i | ||||
\(405\) | −0.426231 | + | 1.02901i | −0.0211796 | + | 0.0511320i | ||||
\(406\) | 21.6513 | − | 27.0491i | 1.07453 | − | 1.34243i | ||||
\(407\) | −6.07131 | + | 6.07131i | −0.300944 | + | 0.300944i | ||||
\(408\) | −46.2482 | + | 4.91854i | −2.28963 | + | 0.243504i | ||||
\(409\) | −3.41503 | + | 12.7451i | −0.168862 | + | 0.630203i | 0.828653 | + | 0.559762i | \(0.189107\pi\) |
−0.997516 | + | 0.0704414i | \(0.977559\pi\) | |||||||
\(410\) | −10.6201 | − | 20.8219i | −0.524489 | − | 1.02832i | ||||
\(411\) | 1.76715 | − | 1.35598i | 0.0871670 | − | 0.0668856i | ||||
\(412\) | −1.76077 | + | 16.8861i | −0.0867469 | + | 0.831919i | ||||
\(413\) | 14.0630 | − | 0.442249i | 0.691997 | − | 0.0217616i | ||||
\(414\) | −5.75377 | + | 12.0758i | −0.282782 | + | 0.593493i | ||||
\(415\) | −12.7922 | + | 22.1567i | −0.627944 | + | 1.08763i | ||||
\(416\) | −10.4164 | + | 2.81402i | −0.510707 | + | 0.137969i | ||||
\(417\) | −16.6592 | − | 28.8546i | −0.815805 | − | 1.41302i | ||||
\(418\) | 14.0542 | + | 20.4309i | 0.687412 | + | 0.999310i | ||||
\(419\) | −7.42662 | − | 17.9294i | −0.362814 | − | 0.875911i | −0.994886 | − | 0.101001i | \(-0.967795\pi\) |
0.632072 | − | 0.774910i | \(-0.282205\pi\) | |||||||
\(420\) | 16.0343 | − | 31.9478i | 0.782395 | − | 1.55889i | ||||
\(421\) | 37.0445 | + | 15.3443i | 1.80544 | + | 0.747836i | 0.984154 | + | 0.177314i | \(0.0567407\pi\) |
0.821282 | + | 0.570523i | \(0.193259\pi\) | |||||||
\(422\) | −9.31508 | + | 14.3569i | −0.453451 | + | 0.698882i | ||||
\(423\) | 5.00346 | − | 18.6732i | 0.243277 | − | 0.907921i | ||||
\(424\) | 5.02420 | + | 13.0404i | 0.243997 | + | 0.633298i | ||||
\(425\) | 1.14917 | + | 4.28877i | 0.0557430 | + | 0.208036i | ||||
\(426\) | −31.9068 | + | 28.7528i | −1.54589 | + | 1.39308i | ||||
\(427\) | 4.63228 | − | 19.7517i | 0.224172 | − | 0.955854i | ||||
\(428\) | −0.981711 | + | 0.291674i | −0.0474528 | + | 0.0140986i | ||||
\(429\) | −1.76460 | + | 13.4035i | −0.0851957 | + | 0.647125i | ||||
\(430\) | 13.1359 | + | 11.2098i | 0.633468 | + | 0.540582i | ||||
\(431\) | −12.3186 | + | 7.11214i | −0.593366 | + | 0.342580i | −0.766427 | − | 0.642331i | \(-0.777967\pi\) |
0.173062 | + | 0.984911i | \(0.444634\pi\) | |||||||
\(432\) | 9.35097 | + | 19.5221i | 0.449899 | + | 0.939256i | ||||
\(433\) | − | 4.61159i | − | 0.221619i | −0.993842 | − | 0.110809i | \(-0.964656\pi\) | ||
0.993842 | − | 0.110809i | \(-0.0353443\pi\) | |||||||
\(434\) | −10.0473 | + | 16.6062i | −0.482285 | + | 0.797125i | ||||
\(435\) | 57.7918 | − | 23.9381i | 2.77090 | − | 1.14775i | ||||
\(436\) | −10.8060 | + | 6.63412i | −0.517511 | + | 0.317717i | ||||
\(437\) | 13.2657 | − | 1.74646i | 0.634584 | − | 0.0835446i | ||||
\(438\) | −12.9833 | + | 40.0144i | −0.620366 | + | 1.91196i | ||||
\(439\) | 4.50964 | + | 16.8302i | 0.215233 | + | 0.803262i | 0.986084 | + | 0.166246i | \(0.0531647\pi\) |
−0.770851 | + | 0.637016i | \(0.780169\pi\) | |||||||
\(440\) | 14.5857 | + | 8.91339i | 0.695344 | + | 0.424929i | ||||
\(441\) | 2.16511 | + | 34.3900i | 0.103100 | + | 1.63762i | ||||
\(442\) | −0.818266 | + | 15.7372i | −0.0389209 | + | 0.748542i | ||||
\(443\) | −0.128970 | + | 0.0989625i | −0.00612757 | + | 0.00470185i | −0.611821 | − | 0.790997i | \(-0.709563\pi\) |
0.605693 | + | 0.795698i | \(0.292896\pi\) | |||||||
\(444\) | 17.9256 | + | 6.86410i | 0.850712 | + | 0.325756i | ||||
\(445\) | −5.77086 | + | 7.52073i | −0.273565 | + | 0.356517i | ||||
\(446\) | 18.6656 | − | 12.8398i | 0.883840 | − | 0.607981i | ||||
\(447\) | −39.2190 | −1.85500 | ||||||||
\(448\) | −7.73760 | − | 19.7010i | −0.365567 | − | 0.930785i | ||||
\(449\) | 11.6567 | 0.550116 | 0.275058 | − | 0.961428i | \(-0.411303\pi\) | ||||
0.275058 | + | 0.961428i | \(0.411303\pi\) | |||||||
\(450\) | 4.35922 | − | 2.99865i | 0.205496 | − | 0.141358i | ||||
\(451\) | −10.5567 | + | 13.7577i | −0.497093 | + | 0.647825i | ||||
\(452\) | −22.5066 | − | 8.61827i | −1.05862 | − | 0.405369i | ||||
\(453\) | −39.7199 | + | 30.4782i | −1.86621 | + | 1.43199i | ||||
\(454\) | −1.70587 | + | 32.8079i | −0.0800605 | + | 1.53975i | ||||
\(455\) | −9.83577 | − | 7.06740i | −0.461108 | − | 0.331325i | ||||
\(456\) | 28.9078 | − | 47.3041i | 1.35373 | − | 2.21522i | ||||
\(457\) | 7.02008 | + | 26.1993i | 0.328386 | + | 1.22555i | 0.910864 | + | 0.412706i | \(0.135416\pi\) |
−0.582479 | + | 0.812846i | \(0.697917\pi\) | |||||||
\(458\) | 8.28677 | − | 25.5398i | 0.387215 | − | 1.19340i | ||||
\(459\) | 31.3434 | − | 4.12644i | 1.46299 | − | 0.192606i | ||||
\(460\) | 7.86002 | − | 4.82552i | 0.366475 | − | 0.224991i | ||||
\(461\) | 7.81215 | − | 3.23590i | 0.363848 | − | 0.150711i | −0.193267 | − | 0.981146i | \(-0.561908\pi\) |
0.557115 | + | 0.830435i | \(0.311908\pi\) | |||||||
\(462\) | −26.5144 | − | 0.543931i | −1.23356 | − | 0.0253060i | ||||
\(463\) | − | 28.9645i | − | 1.34609i | −0.739600 | − | 0.673046i | \(-0.764985\pi\) | ||
0.739600 | − | 0.673046i | \(-0.235015\pi\) | |||||||
\(464\) | 12.3066 | − | 34.9352i | 0.571321 | − | 1.62183i | ||||
\(465\) | −30.3472 | + | 17.5210i | −1.40732 | + | 0.812515i | ||||
\(466\) | 5.63488 | + | 4.80863i | 0.261031 | + | 0.222756i | ||||
\(467\) | −3.39774 | + | 25.8084i | −0.157229 | + | 1.19427i | 0.712835 | + | 0.701331i | \(0.247411\pi\) |
−0.870064 | + | 0.492939i | \(0.835923\pi\) | |||||||
\(468\) | 18.0009 | − | 5.34820i | 0.832091 | − | 0.247221i | ||||
\(469\) | −13.2624 | − | 12.4537i | −0.612402 | − | 0.575059i | ||||
\(470\) | −9.90196 | + | 8.92314i | −0.456743 | + | 0.411594i | ||||
\(471\) | 2.85769 | + | 10.6651i | 0.131676 | + | 0.491420i | ||||
\(472\) | 14.0358 | − | 5.40769i | 0.646048 | − | 0.248909i | ||||
\(473\) | 3.31593 | − | 12.3752i | 0.152467 | − | 0.569013i | ||||
\(474\) | −18.7468 | + | 28.8935i | −0.861068 | + | 1.32712i | ||||
\(475\) | −4.88959 | − | 2.02533i | −0.224350 | − | 0.0929287i | ||||
\(476\) | −30.8600 | + | 1.80549i | −1.41447 | + | 0.0827544i | ||||
\(477\) | −9.30750 | − | 22.4703i | −0.426161 | − | 1.02884i | ||||
\(478\) | −0.858166 | − | 1.24754i | −0.0392516 | − | 0.0570612i | ||||
\(479\) | −6.63509 | − | 11.4923i | −0.303165 | − | 0.525097i | 0.673686 | − | 0.739018i | \(-0.264710\pi\) |
−0.976851 | + | 0.213920i | \(0.931377\pi\) | |||||||
\(480\) | 4.91004 | − | 37.8971i | 0.224112 | − | 1.72976i | ||||
\(481\) | 3.25186 | − | 5.63238i | 0.148272 | − | 0.256815i | ||||
\(482\) | −14.0894 | + | 29.5703i | −0.641754 | + | 1.34689i | ||||
\(483\) | −6.76158 | + | 12.6109i | −0.307662 | + | 0.573817i | ||||
\(484\) | −0.966399 | + | 9.26795i | −0.0439272 | + | 0.421270i | ||||
\(485\) | 24.0344 | − | 18.4423i | 1.09135 | − | 0.837420i | ||||
\(486\) | 9.59228 | + | 18.8068i | 0.435115 | + | 0.853094i | ||||
\(487\) | 4.00836 | − | 14.9594i | 0.181636 | − | 0.677875i | −0.813690 | − | 0.581299i | \(-0.802544\pi\) |
0.995326 | − | 0.0965753i | \(-0.0307889\pi\) | |||||||
\(488\) | −2.29365 | − | 21.5668i | −0.103829 | − | 0.976283i | ||||
\(489\) | −14.2927 | + | 14.2927i | −0.646337 | + | 0.646337i | ||||
\(490\) | 11.6539 | − | 20.7043i | 0.526470 | − | 0.935326i | ||||
\(491\) | 3.85714 | − | 9.31196i | 0.174070 | − | 0.420243i | −0.812633 | − | 0.582776i | \(-0.801966\pi\) |
0.986703 | + | 0.162533i | \(0.0519665\pi\) | |||||||
\(492\) | 37.7037 | + | 9.01909i | 1.69981 | + | 0.406612i | ||||
\(493\) | −42.9171 | − | 32.9315i | −1.93289 | − | 1.48316i | ||||
\(494\) | −14.2883 | − | 12.1932i | −0.642859 | − | 0.548597i | ||||
\(495\) | −25.7639 | − | 14.8748i | −1.15800 | − | 0.668572i | ||||
\(496\) | −4.28064 | + | 20.3029i | −0.192206 | + | 0.911627i | ||||
\(497\) | −22.0910 | + | 18.0820i | −0.990916 | + | 0.811090i | ||||
\(498\) | −14.1811 | − | 39.9940i | −0.635471 | − | 1.79217i | ||||
\(499\) | 0.979674 | − | 7.44137i | 0.0438562 | − | 0.333121i | −0.955426 | − | 0.295232i | \(-0.904603\pi\) |
0.999282 | − | 0.0378896i | \(-0.0120635\pi\) | |||||||
\(500\) | 20.3445 | − | 0.549474i | 0.909833 | − | 0.0245732i | ||||
\(501\) | −27.8524 | + | 3.66684i | −1.24435 | + | 0.163822i | ||||
\(502\) | −26.9411 | + | 5.73809i | −1.20244 | + | 0.256103i | ||||
\(503\) | 7.48218 | − | 7.48218i | 0.333614 | − | 0.333614i | −0.520343 | − | 0.853957i | \(-0.674196\pi\) |
0.853957 | + | 0.520343i | \(0.174196\pi\) | |||||||
\(504\) | 14.3176 | + | 33.9410i | 0.637756 | + | 1.51185i | ||||
\(505\) | −4.39075 | − | 4.39075i | −0.195386 | − | 0.195386i | ||||
\(506\) | −5.74027 | − | 3.72442i | −0.255186 | − | 0.165571i | ||||
\(507\) | 3.43948 | + | 26.1255i | 0.152753 | + | 1.16027i | ||||
\(508\) | 2.97798 | − | 7.77700i | 0.132126 | − | 0.345049i | ||||
\(509\) | 17.0736 | + | 2.24778i | 0.756772 | + | 0.0996309i | 0.499032 | − | 0.866583i | \(-0.333689\pi\) |
0.257740 | + | 0.966214i | \(0.417022\pi\) | |||||||
\(510\) | −50.3841 | − | 24.0065i | −2.23104 | − | 1.06303i | ||||
\(511\) | −9.88296 | + | 26.1562i | −0.437196 | + | 1.15708i | ||||
\(512\) | −14.7589 | − | 17.1515i | −0.652256 | − | 0.757999i | ||||
\(513\) | −18.8415 | + | 32.6345i | −0.831873 | + | 1.44085i | ||||
\(514\) | 0.597191 | + | 7.54836i | 0.0263409 | + | 0.332944i | ||||
\(515\) | −12.4024 | + | 16.1632i | −0.546517 | + | 0.712235i | ||||
\(516\) | −28.2853 | + | 4.50378i | −1.24519 | + | 0.198268i | ||||
\(517\) | 9.13634 | + | 3.78439i | 0.401816 | + | 0.166437i | ||||
\(518\) | 11.6843 | + | 5.12304i | 0.513380 | + | 0.225093i | ||||
\(519\) | 13.0539 | + | 13.0539i | 0.573001 | + | 0.573001i | ||||
\(520\) | −12.4192 | − | 3.66207i | −0.544616 | − | 0.160592i | ||||
\(521\) | −0.744652 | − | 0.199529i | −0.0326238 | − | 0.00874152i | 0.242470 | − | 0.970159i | \(-0.422042\pi\) |
−0.275094 | + | 0.961417i | \(0.588709\pi\) | |||||||
\(522\) | −19.8951 | + | 61.3165i | −0.870784 | + | 2.68375i | ||||
\(523\) | 18.1156 | + | 23.6087i | 0.792138 | + | 1.03233i | 0.998548 | + | 0.0538690i | \(0.0171553\pi\) |
−0.206410 | + | 0.978466i | \(0.566178\pi\) | |||||||
\(524\) | 5.64568 | − | 10.4185i | 0.246633 | − | 0.455133i | ||||
\(525\) | 4.81028 | − | 2.98264i | 0.209938 | − | 0.130173i | ||||
\(526\) | −7.39047 | − | 20.8428i | −0.322240 | − | 0.908789i | ||||
\(527\) | 26.2441 | + | 15.1520i | 1.14321 | + | 0.660034i | ||||
\(528\) | −26.9490 | + | 8.80527i | −1.17280 | + | 0.383200i | ||||
\(529\) | 16.7212 | − | 9.65397i | 0.727007 | − | 0.419738i | ||||
\(530\) | −3.04927 | + | 16.4902i | −0.132452 | + | 0.716290i | ||||
\(531\) | −24.1854 | + | 10.0179i | −1.04956 | + | 0.434741i | ||||
\(532\) | 20.6856 | − | 30.4932i | 0.896833 | − | 1.32205i | ||||
\(533\) | 5.02670 | − | 12.1355i | 0.217731 | − | 0.525648i | ||||
\(534\) | −3.27527 | − | 15.3778i | −0.141735 | − | 0.665465i | ||||
\(535\) | −1.18708 | − | 0.318076i | −0.0513218 | − | 0.0137516i | ||||
\(536\) | −17.7775 | − | 7.88879i | −0.767869 | − | 0.340744i | ||||
\(537\) | 53.8295 | − | 14.4236i | 2.32292 | − | 0.622423i | ||||
\(538\) | 23.0806 | + | 1.20009i | 0.995075 | + | 0.0517396i | ||||
\(539\) | −17.5860 | − | 1.19814i | −0.757484 | − | 0.0516077i | ||||
\(540\) | −2.69393 | + | 25.8353i | −0.115928 | + | 1.11177i | ||||
\(541\) | 11.3104 | + | 1.48905i | 0.486274 | + | 0.0640192i | 0.369678 | − | 0.929160i | \(-0.379468\pi\) |
0.116597 | + | 0.993179i | \(0.462802\pi\) | |||||||
\(542\) | 10.1220 | − | 0.800803i | 0.434776 | − | 0.0343974i | ||||
\(543\) | −19.1204 | − | 33.1175i | −0.820534 | − | 1.42121i | ||||
\(544\) | −30.5055 | + | 12.7093i | −1.30791 | + | 0.544907i | ||||
\(545\) | −15.2159 | −0.651779 | ||||||||
\(546\) | 19.5061 | − | 4.80010i | 0.834783 | − | 0.205425i | ||||
\(547\) | −3.53300 | − | 8.52942i | −0.151060 | − | 0.364692i | 0.830176 | − | 0.557502i | \(-0.188240\pi\) |
−0.981236 | + | 0.192810i | \(0.938240\pi\) | |||||||
\(548\) | 0.929244 | − | 1.28121i | 0.0396954 | − | 0.0547305i | ||||
\(549\) | 4.92690 | + | 37.4235i | 0.210275 | + | 1.59720i | ||||
\(550\) | 1.22975 | + | 2.41107i | 0.0524368 | + | 0.102808i | ||||
\(551\) | 62.2839 | − | 16.6889i | 2.65338 | − | 0.710972i | ||||
\(552\) | −2.37438 | + | 15.1118i | −0.101060 | + | 0.643202i | ||||
\(553\) | −13.3583 | + | 18.5909i | −0.568054 | + | 0.790566i | ||||
\(554\) | 1.60614 | − | 1.44737i | 0.0682383 | − | 0.0614928i | ||||
\(555\) | 14.0222 | + | 18.2740i | 0.595207 | + | 0.775689i | ||||
\(556\) | −17.1863 | − | 16.2823i | −0.728861 | − | 0.690525i | ||||
\(557\) | −35.3300 | − | 27.1097i | −1.49698 | − | 1.14867i | −0.950301 | − | 0.311332i | \(-0.899225\pi\) |
−0.546679 | − | 0.837342i | \(-0.684108\pi\) | |||||||
\(558\) | 6.56628 | − | 35.5099i | 0.277973 | − | 1.50325i | ||||
\(559\) | 9.70450i | 0.410456i | ||||||||
\(560\) | 4.45619 | − | 25.0053i | 0.188308 | − | 1.05667i | ||||
\(561\) | 41.4064i | 1.74818i | ||||||||
\(562\) | 40.5248 | + | 7.49361i | 1.70944 | + | 0.316099i | ||||
\(563\) | 25.9783 | + | 19.9338i | 1.09485 | + | 0.840112i | 0.988045 | − | 0.154168i | \(-0.0492697\pi\) |
0.106810 | + | 0.994279i | \(0.465936\pi\) | |||||||
\(564\) | −0.596879 | − | 22.0997i | −0.0251331 | − | 0.930565i | ||||
\(565\) | −17.6056 | − | 22.9441i | −0.740674 | − | 0.965266i | ||||
\(566\) | 1.05389 | + | 1.16950i | 0.0442985 | + | 0.0491578i | ||||
\(567\) | −0.505298 | − | 1.11905i | −0.0212205 | − | 0.0469955i | ||||
\(568\) | −15.9139 | + | 26.0412i | −0.667733 | + | 1.09266i | ||||
\(569\) | −13.4522 | + | 3.60452i | −0.563947 | + | 0.151109i | −0.529519 | − | 0.848298i | \(-0.677628\pi\) |
−0.0344280 | + | 0.999407i | \(0.510961\pi\) | |||||||
\(570\) | 59.2622 | − | 30.2263i | 2.48222 | − | 1.26604i | ||||
\(571\) | −2.99406 | − | 22.7421i | −0.125297 | − | 0.951728i | −0.932428 | − | 0.361355i | \(-0.882314\pi\) |
0.807131 | − | 0.590373i | \(-0.201019\pi\) | |||||||
\(572\) | 1.51052 | + | 9.48655i | 0.0631578 | + | 0.396653i | ||||
\(573\) | −7.22057 | − | 17.4320i | −0.301644 | − | 0.728232i | ||||
\(574\) | 24.7472 | + | 7.17813i | 1.03293 | + | 0.299609i | ||||
\(575\) | 1.46037 | 0.0609018 | ||||||||
\(576\) | 26.4229 | + | 29.2005i | 1.10095 | + | 1.21669i | ||||
\(577\) | 5.25492 | + | 9.10178i | 0.218765 | + | 0.378912i | 0.954431 | − | 0.298433i | \(-0.0964638\pi\) |
−0.735666 | + | 0.677345i | \(0.763131\pi\) | |||||||
\(578\) | 1.91047 | + | 24.1480i | 0.0794653 | + | 1.00442i | ||||
\(579\) | −35.8003 | − | 4.71320i | −1.48781 | − | 0.195874i | ||||
\(580\) | 34.5192 | − | 28.0001i | 1.43333 | − | 1.16264i | ||||
\(581\) | −8.15245 | − | 27.0001i | −0.338221 | − | 1.12015i | ||||
\(582\) | −2.60906 | + | 50.1784i | −0.108149 | + | 2.07996i | ||||
\(583\) | 12.0176 | − | 3.22012i | 0.497720 | − | 0.133364i | ||||
\(584\) | −0.745628 | + | 29.8823i | −0.0308543 | + | 1.23654i | ||||
\(585\) | 21.7665 | + | 5.83232i | 0.899934 | + | 0.241137i | ||||
\(586\) | 29.2330 | − | 6.22623i | 1.20760 | − | 0.257203i | ||||
\(587\) | 1.98416 | − | 4.79017i | 0.0818949 | − | 0.197712i | −0.877628 | − | 0.479342i | \(-0.840875\pi\) |
0.959523 | + | 0.281631i | \(0.0908753\pi\) | |||||||
\(588\) | 13.5742 | + | 36.9942i | 0.559791 | + | 1.52561i | ||||
\(589\) | −33.3722 | + | 13.8232i | −1.37508 | + | 0.569576i | ||||
\(590\) | 17.7489 | + | 3.28202i | 0.730711 | + | 0.135119i | ||||
\(591\) | −19.8253 | + | 11.4461i | −0.815503 | + | 0.470831i | ||||
\(592\) | 13.5987 | + | 1.04775i | 0.558902 | + | 0.0430622i | ||||
\(593\) | −26.8166 | − | 15.4826i | −1.10123 | − | 0.635793i | −0.164683 | − | 0.986347i | \(-0.552660\pi\) |
−0.936543 | + | 0.350554i | \(0.885993\pi\) | |||||||
\(594\) | 18.1632 | − | 6.44033i | 0.745245 | − | 0.264250i | ||||
\(595\) | −32.6927 | − | 17.5288i | −1.34027 | − | 0.718610i | ||||
\(596\) | −26.7131 | + | 7.93667i | −1.09421 | + | 0.325099i | ||||
\(597\) | −40.5303 | − | 52.8201i | −1.65880 | − | 2.16178i | ||||
\(598\) | 4.93007 | + | 1.59964i | 0.201606 | + | 0.0654140i | ||||
\(599\) | −1.01301 | − | 0.271435i | −0.0413905 | − | 0.0110905i | 0.238064 | − | 0.971249i | \(-0.423487\pi\) |
−0.279455 | + | 0.960159i | \(0.590154\pi\) | |||||||
\(600\) | 3.80205 | − | 4.70700i | 0.155218 | − | 0.192162i | ||||
\(601\) | 8.02007 | + | 8.02007i | 0.327145 | + | 0.327145i | 0.851500 | − | 0.524355i | \(-0.175693\pi\) |
−0.524355 | + | 0.851500i | \(0.675693\pi\) | |||||||
\(602\) | −18.9211 | + | 2.09719i | −0.771166 | + | 0.0854749i | ||||
\(603\) | 31.2727 | + | 12.9536i | 1.27352 | + | 0.527510i | ||||
\(604\) | −20.8865 | + | 28.7975i | −0.849859 | + | 1.17175i | ||||
\(605\) | −6.80709 | + | 8.87117i | −0.276747 | + | 0.360664i | ||||
\(606\) | 10.2668 | − | 0.812259i | 0.417060 | − | 0.0329958i | ||||
\(607\) | 11.2174 | − | 19.4291i | 0.455300 | − | 0.788603i | −0.543405 | − | 0.839470i | \(-0.682865\pi\) |
0.998705 | + | 0.0508676i | \(0.0161986\pi\) | |||||||
\(608\) | 10.1170 | − | 38.0701i | 0.410301 | − | 1.54395i | ||||
\(609\) | −24.3737 | + | 64.5073i | −0.987672 | + | 2.61397i | ||||
\(610\) | 11.1949 | − | 23.4954i | 0.453268 | − | 0.951303i | ||||
\(611\) | −7.42659 | − | 0.977729i | −0.300448 | − | 0.0395547i | ||||
\(612\) | 52.5234 | − | 23.4367i | 2.12313 | − | 0.947372i | ||||
\(613\) | 1.07911 | + | 8.19667i | 0.0435849 | + | 0.331060i | 0.999321 | + | 0.0368360i | \(0.0117279\pi\) |
−0.955736 | + | 0.294224i | \(0.904939\pi\) | |||||||
\(614\) | −12.1383 | + | 18.7081i | −0.489861 | + | 0.754999i | ||||
\(615\) | 32.8953 | + | 32.8953i | 1.32647 | + | 1.32647i | ||||
\(616\) | −18.1697 | + | 4.99518i | −0.732079 | + | 0.201261i | ||||
\(617\) | 28.3687 | − | 28.3687i | 1.14208 | − | 1.14208i | 0.154010 | − | 0.988069i | \(-0.450781\pi\) |
0.988069 | − | 0.154010i | \(-0.0492189\pi\) | |||||||
\(618\) | −7.03905 | − | 33.0493i | −0.283152 | − | 1.32944i | ||||
\(619\) | 3.01949 | − | 0.397523i | 0.121363 | − | 0.0159778i | −0.0695998 | − | 0.997575i | \(-0.522172\pi\) |
0.190963 | + | 0.981597i | \(0.438839\pi\) | |||||||
\(620\) | −17.1246 | + | 18.0753i | −0.687740 | + | 0.725921i | ||||
\(621\) | 1.35722 | − | 10.3091i | 0.0544634 | − | 0.413691i | ||||
\(622\) | 6.27795 | − | 2.22604i | 0.251723 | − | 0.0892561i | ||||
\(623\) | −1.68903 | − | 10.3129i | −0.0676696 | − | 0.413179i | ||||
\(624\) | 17.9912 | − | 11.7257i | 0.720224 | − | 0.469404i | ||||
\(625\) | 24.4414 | + | 14.1112i | 0.977656 | + | 0.564450i | ||||
\(626\) | 2.37461 | − | 2.78263i | 0.0949086 | − | 0.111216i | ||||
\(627\) | −39.1564 | − | 30.0458i | −1.56376 | − | 1.19991i | ||||
\(628\) | 4.10471 | + | 6.68594i | 0.163796 | + | 0.266798i | ||||
\(629\) | 7.62291 | − | 18.4033i | 0.303945 | − | 0.733789i | ||||
\(630\) | −6.66757 | + | 43.6991i | −0.265642 | + | 1.74101i | ||||
\(631\) | 8.79911 | − | 8.79911i | 0.350287 | − | 0.350287i | −0.509929 | − | 0.860216i | \(-0.670328\pi\) |
0.860216 | + | 0.509929i | \(0.170328\pi\) | |||||||
\(632\) | −6.92181 | + | 23.4739i | −0.275335 | + | 0.933740i | ||||
\(633\) | 8.81591 | − | 32.9014i | 0.350401 | − | 1.30771i | ||||
\(634\) | −0.122871 | + | 0.0626697i | −0.00487985 | + | 0.00248893i | ||||
\(635\) | 7.92816 | − | 6.08349i | 0.314619 | − | 0.241416i | ||||
\(636\) | −17.5217 | − | 21.6011i | −0.694780 | − | 0.856541i | ||||
\(637\) | 13.1018 | − | 2.57106i | 0.519114 | − | 0.101869i | ||||
\(638\) | −29.7693 | − | 14.1842i | −1.17858 | − | 0.561559i | ||||
\(639\) | 26.5574 | − | 45.9987i | 1.05059 | − | 1.81968i | ||||
\(640\) | −4.32480 | − | 26.8063i | −0.170953 | − | 1.05961i | ||||
\(641\) | 6.70187 | + | 11.6080i | 0.264708 | + | 0.458488i | 0.967487 | − | 0.252920i | \(-0.0813911\pi\) |
−0.702779 | + | 0.711408i | \(0.748058\pi\) | |||||||
\(642\) | 1.67935 | − | 1.15520i | 0.0662788 | − | 0.0455923i | ||||
\(643\) | 13.9500 | + | 33.6784i | 0.550136 | + | 1.32815i | 0.917377 | + | 0.398019i | \(0.130302\pi\) |
−0.367241 | + | 0.930126i | \(0.619698\pi\) | |||||||
\(644\) | −2.05344 | + | 9.95797i | −0.0809169 | + | 0.392399i | ||||
\(645\) | −31.7537 | − | 13.1528i | −1.25030 | − | 0.517892i | ||||
\(646\) | −48.2623 | − | 31.3137i | −1.89886 | − | 1.23202i | ||||
\(647\) | −4.88005 | + | 18.2126i | −0.191855 | + | 0.716012i | 0.801204 | + | 0.598391i | \(0.204193\pi\) |
−0.993059 | + | 0.117620i | \(0.962473\pi\) | |||||||
\(648\) | −0.904719 | − | 0.951023i | −0.0355407 | − | 0.0373597i | ||||
\(649\) | −3.46591 | − | 12.9349i | −0.136049 | − | 0.507741i | ||||
\(650\) | −1.37244 | − | 1.52299i | −0.0538315 | − | 0.0597366i | ||||
\(651\) | 8.82040 | − | 37.6095i | 0.345699 | − | 1.47403i | ||||
\(652\) | −6.84274 | + | 12.6275i | −0.267982 | + | 0.494531i | ||||
\(653\) | −4.96634 | + | 37.7231i | −0.194348 | + | 1.47622i | 0.564760 | + | 0.825255i | \(0.308969\pi\) |
−0.759108 | + | 0.650964i | \(0.774365\pi\) | |||||||
\(654\) | 16.3821 | − | 19.1970i | 0.640591 | − | 0.750661i | ||||
\(655\) | 12.3147 | − | 7.10990i | 0.481176 | − | 0.277807i | ||||
\(656\) | 27.5062 | − | 1.48688i | 1.07394 | − | 0.0580530i | ||||
\(657\) | − | 52.0232i | − | 2.02962i | ||||||
\(658\) | 0.301381 | − | 14.6911i | 0.0117491 | − | 0.572718i | ||||
\(659\) | 28.0384 | − | 11.6139i | 1.09222 | − | 0.452413i | 0.237441 | − | 0.971402i | \(-0.423691\pi\) |
0.854781 | + | 0.518989i | \(0.173691\pi\) | |||||||
\(660\) | −33.0878 | − | 7.91493i | −1.28794 | − | 0.308088i | ||||
\(661\) | 30.7880 | − | 4.05331i | 1.19751 | − | 0.157656i | 0.494722 | − | 0.869051i | \(-0.335270\pi\) |
0.702792 | + | 0.711396i | \(0.251937\pi\) | |||||||
\(662\) | 25.8141 | + | 8.37580i | 1.00330 | + | 0.325535i | ||||
\(663\) | −8.11761 | − | 30.2953i | −0.315262 | − | 1.17657i | ||||
\(664\) | −17.7526 | − | 24.3711i | −0.688935 | − | 0.945784i | ||||
\(665\) | 40.2990 | − | 18.1968i | 1.56273 | − | 0.705640i | ||||
\(666\) | −23.7052 | − | 1.23257i | −0.918558 | − | 0.0477611i | ||||
\(667\) | −14.1158 | + | 10.8314i | −0.546567 | + | 0.419395i | ||||
\(668\) | −18.2289 | + | 8.13401i | −0.705299 | + | 0.314714i | ||||
\(669\) | −27.4496 | + | 35.7730i | −1.06126 | + | 1.38306i | ||||
\(670\) | −13.2273 | − | 19.2289i | −0.511015 | − | 0.742878i | ||||
\(671\) | −19.3089 | −0.745413 | ||||||||
\(672\) | 26.7499 | + | 32.5439i | 1.03190 | + | 1.25541i | ||||
\(673\) | 13.9793 | 0.538863 | 0.269431 | − | 0.963020i | \(-0.413164\pi\) | ||||
0.269431 | + | 0.963020i | \(0.413164\pi\) | |||||||
\(674\) | −18.4813 | − | 26.8669i | −0.711875 | − | 1.03487i | ||||
\(675\) | −2.50378 | + | 3.26299i | −0.0963704 | + | 0.125592i | ||||
\(676\) | 7.62968 | + | 17.0987i | 0.293449 | + | 0.657643i | ||||
\(677\) | 23.0998 | − | 17.7251i | 0.887799 | − | 0.681232i | −0.0606508 | − | 0.998159i | \(-0.519318\pi\) |
0.948450 | + | 0.316927i | \(0.102651\pi\) | |||||||
\(678\) | 47.9021 | + | 2.49070i | 1.83967 | + | 0.0956548i | ||||
\(679\) | −3.31625 | + | 33.2317i | −0.127266 | + | 1.27531i | ||||
\(680\) | −39.1761 | − | 6.15537i | −1.50233 | − | 0.236048i | ||||
\(681\) | −16.9231 | − | 63.1579i | −0.648495 | − | 2.42021i | ||||
\(682\) | 17.5710 | + | 5.70119i | 0.672829 | + | 0.218310i | ||||
\(683\) | 13.7542 | − | 1.81077i | 0.526289 | − | 0.0692873i | 0.137300 | − | 0.990530i | \(-0.456158\pi\) |
0.388989 | + | 0.921242i | \(0.372824\pi\) | |||||||
\(684\) | −15.9495 | + | 66.6756i | −0.609843 | + | 2.54941i | ||||
\(685\) | 1.75469 | − | 0.726817i | 0.0670433 | − | 0.0277702i | ||||
\(686\) | 7.84422 | + | 24.9894i | 0.299494 | + | 0.954098i | ||||
\(687\) | 53.4406i | 2.03889i | ||||||||
\(688\) | −18.3544 | + | 8.79167i | −0.699755 | + | 0.335179i | ||||
\(689\) | −8.16150 | + | 4.71205i | −0.310929 | + | 0.179515i | ||||
\(690\) | −11.9160 | + | 13.9635i | −0.453634 | + | 0.531580i | ||||
\(691\) | −1.09459 | + | 8.31426i | −0.0416403 | + | 0.316289i | 0.957931 | + | 0.287000i | \(0.0926579\pi\) |
−0.999571 | + | 0.0292898i | \(0.990675\pi\) | |||||||
\(692\) | 11.5330 | + | 6.24965i | 0.438419 | + | 0.237576i | ||||
\(693\) | 31.3958 | − | 9.47968i | 1.19263 | − | 0.360103i | ||||
\(694\) | −27.5605 | − | 30.5838i | −1.04618 | − | 1.16095i | ||||
\(695\) | −7.35292 | − | 27.4415i | −0.278912 | − | 1.04091i | ||||
\(696\) | −1.83889 | + | 73.6967i | −0.0697031 | + | 2.79347i | ||||
\(697\) | 10.4126 | − | 38.8603i | 0.394405 | − | 1.47194i | ||||
\(698\) | −7.76851 | − | 5.04039i | −0.294043 | − | 0.190782i | ||||
\(699\) | −13.6214 | − | 5.64215i | −0.515207 | − | 0.213406i | ||||
\(700\) | 2.67282 | − | 3.00500i | 0.101023 | − | 0.113578i | ||||
\(701\) | 10.2240 | + | 24.6829i | 0.386155 | + | 0.932260i | 0.990747 | + | 0.135724i | \(0.0433362\pi\) |
−0.604592 | + | 0.796535i | \(0.706664\pi\) | |||||||
\(702\) | −12.0266 | + | 8.27296i | −0.453916 | + | 0.312243i | ||||
\(703\) | 11.8719 | + | 20.5627i | 0.447756 | + | 0.775536i | ||||
\(704\) | −16.5738 | + | 11.4511i | −0.624647 | + | 0.431580i | ||||
\(705\) | 13.2647 | − | 22.9751i | 0.499577 | − | 0.865293i | ||||
\(706\) | −16.9392 | − | 8.07106i | −0.637516 | − | 0.303758i | ||||
\(707\) | 6.84188 | − | 0.215160i | 0.257315 | − | 0.00809194i | ||||
\(708\) | −23.2499 | + | 18.8591i | −0.873786 | + | 0.708768i | ||||
\(709\) | −12.3050 | + | 9.44197i | −0.462125 | + | 0.354601i | −0.813433 | − | 0.581659i | \(-0.802404\pi\) |
0.351308 | + | 0.936260i | \(0.385737\pi\) | |||||||
\(710\) | −32.6242 | + | 16.6397i | −1.22436 | + | 0.624478i | ||||
\(711\) | 11.0239 | − | 41.1416i | 0.413427 | − | 1.54293i | ||||
\(712\) | −5.34286 | − | 9.81145i | −0.200232 | − | 0.367700i | ||||
\(713\) | 7.04793 | − | 7.04793i | 0.263947 | − | 0.263947i | ||||
\(714\) | 57.3133 | − | 22.3741i | 2.14490 | − | 0.837328i | ||||
\(715\) | −4.41130 | + | 10.6498i | −0.164973 | + | 0.398281i | ||||
\(716\) | 33.7458 | − | 20.7176i | 1.26114 | − | 0.774255i | ||||
\(717\) | 2.39094 | + | 1.83463i | 0.0892913 | + | 0.0685156i | ||||
\(718\) | 24.9778 | − | 29.2696i | 0.932162 | − | 1.09233i | ||||
\(719\) | −31.1442 | − | 17.9811i | −1.16148 | − | 0.670583i | −0.209824 | − | 0.977739i | \(-0.567289\pi\) |
−0.951659 | + | 0.307157i | \(0.900622\pi\) | |||||||
\(720\) | 8.68826 | + | 46.4514i | 0.323792 | + | 1.73114i | ||||
\(721\) | −3.62999 | − | 22.1640i | −0.135188 | − | 0.825432i | ||||
\(722\) | 39.3076 | − | 13.9377i | 1.46288 | − | 0.518708i | ||||
\(723\) | 8.50939 | − | 64.6352i | 0.316468 | − | 2.40381i | ||||
\(724\) | −19.7253 | − | 18.6878i | −0.733085 | − | 0.694528i | ||||
\(725\) | 6.97755 | − | 0.918613i | 0.259140 | − | 0.0341164i | ||||
\(726\) | −3.86339 | − | 18.1391i | −0.143384 | − | 0.673207i | ||||
\(727\) | 20.7270 | − | 20.7270i | 0.768722 | − | 0.768722i | −0.209159 | − | 0.977882i | \(-0.567073\pi\) |
0.977882 | + | 0.209159i | \(0.0670728\pi\) | |||||||
\(728\) | 12.3147 | − | 7.21688i | 0.456414 | − | 0.267475i | ||||
\(729\) | −30.6962 | − | 30.6962i | −1.13690 | − | 1.13690i | ||||
\(730\) | −19.5238 | + | 30.0911i | −0.722609 | + | 1.11372i | ||||
\(731\) | 3.87963 | + | 29.4687i | 0.143493 | + | 1.08994i | ||||
\(732\) | 17.5898 | + | 39.4201i | 0.650137 | + | 1.45701i | ||||
\(733\) | 32.0545 | + | 4.22005i | 1.18396 | + | 0.155871i | 0.696685 | − | 0.717377i | \(-0.254658\pi\) |
0.487275 | + | 0.873249i | \(0.337991\pi\) | |||||||
\(734\) | 11.0198 | − | 23.1280i | 0.406750 | − | 0.853672i | ||||
\(735\) | −9.34469 | + | 46.3547i | −0.344684 | + | 1.70982i | ||||
\(736\) | 1.44090 | + | 10.7736i | 0.0531121 | + | 0.397119i | ||||
\(737\) | −8.65769 | + | 14.9956i | −0.318910 | + | 0.552369i | ||||
\(738\) | −47.7922 | + | 3.78109i | −1.75925 | + | 0.139184i | ||||
\(739\) | −20.6995 | + | 26.9761i | −0.761444 | + | 0.992333i | 0.238332 | + | 0.971184i | \(0.423399\pi\) |
−0.999776 | + | 0.0211493i | \(0.993267\pi\) | |||||||
\(740\) | 13.2489 | + | 9.60929i | 0.487041 | + | 0.353244i | ||||
\(741\) | 34.5394 | + | 14.3067i | 1.26884 | + | 0.525570i | ||||
\(742\) | −10.9509 | − | 14.8944i | −0.402021 | − | 0.546790i | ||||
\(743\) | −20.9462 | − | 20.9462i | −0.768440 | − | 0.768440i | 0.209392 | − | 0.977832i | \(-0.432852\pi\) |
−0.977832 | + | 0.209392i | \(0.932852\pi\) | |||||||
\(744\) | −4.36737 | − | 41.0656i | −0.160116 | − | 1.50554i | ||||
\(745\) | −32.3012 | − | 8.65509i | −1.18343 | − | 0.317098i | ||||
\(746\) | −28.2526 | − | 9.16700i | −1.03440 | − | 0.335628i | ||||
\(747\) | 31.9450 | + | 41.6315i | 1.16881 | + | 1.52322i | ||||
\(748\) | 8.37934 | + | 28.2030i | 0.306379 | + | 1.03120i | ||||
\(749\) | 1.15141 | − | 0.713939i | 0.0420716 | − | 0.0260867i | ||||
\(750\) | −38.1775 | + | 13.5370i | −1.39404 | + | 0.494302i | ||||
\(751\) | 44.3472 | + | 25.6039i | 1.61825 | + | 0.934299i | 0.987372 | + | 0.158420i | \(0.0506398\pi\) |
0.630881 | + | 0.775879i | \(0.282693\pi\) | |||||||
\(752\) | −4.87882 | − | 14.9319i | −0.177912 | − | 0.544510i | ||||
\(753\) | 47.4787 | − | 27.4118i | 1.73022 | − | 0.998942i | ||||
\(754\) | 24.5617 | + | 4.54180i | 0.894485 | + | 0.165403i | ||||
\(755\) | −39.4399 | + | 16.3366i | −1.43537 | + | 0.594548i | ||||
\(756\) | −18.7290 | − | 21.6608i | −0.681167 | − | 0.787795i | ||||
\(757\) | 4.82278 | − | 11.6432i | 0.175287 | − | 0.423180i | −0.811680 | − | 0.584102i | \(-0.801447\pi\) |
0.986967 | + | 0.160922i | \(0.0514467\pi\) | |||||||
\(758\) | 38.9283 | − | 8.29120i | 1.41394 | − | 0.301150i | ||||
\(759\) | 13.1549 | + | 3.52484i | 0.477492 | + | 0.127944i | ||||
\(760\) | 34.2482 | − | 32.5807i | 1.24231 | − | 1.18183i | ||||
\(761\) | −41.4678 | + | 11.1113i | −1.50321 | + | 0.402783i | −0.914173 | − | 0.405325i | \(-0.867158\pi\) |
−0.589034 | + | 0.808108i | \(0.700492\pi\) | |||||||
\(762\) | −0.860643 | + | 16.5522i | −0.0311778 | + | 0.599623i | ||||
\(763\) | 11.4823 | − | 12.2279i | 0.415687 | − | 0.442681i | ||||
\(764\) | −8.44580 | − | 10.4122i | −0.305558 | − | 0.376699i | ||||
\(765\) | 68.4279 | + | 9.00870i | 2.47401 | + | 0.325710i | ||||
\(766\) | 0.637409 | + | 8.05671i | 0.0230305 | + | 0.291101i | ||||
\(767\) | 5.07171 | + | 8.78446i | 0.183129 | + | 0.317188i | ||||
\(768\) | 38.4761 | + | 23.4045i | 1.38839 | + | 0.844538i | ||||
\(769\) | 2.39948 | 0.0865273 | 0.0432637 | − | 0.999064i | \(-0.486224\pi\) | ||||
0.0432637 | + | 0.999064i | \(0.486224\pi\) | |||||||
\(770\) | −21.7175 | − | 6.29935i | −0.782645 | − | 0.227013i | ||||
\(771\) | −5.76721 | − | 13.9233i | −0.207701 | − | 0.501435i | ||||
\(772\) | −25.3383 | + | 4.03455i | −0.911947 | + | 0.145207i | ||||
\(773\) | 0.664020 | + | 5.04373i | 0.0238831 | + | 0.181411i | 0.999228 | − | 0.0392735i | \(-0.0125044\pi\) |
−0.975345 | + | 0.220684i | \(0.929171\pi\) | |||||||
\(774\) | 31.5523 | − | 16.0931i | 1.13413 | − | 0.578453i | ||||
\(775\) | −3.80817 | + | 1.02039i | −0.136793 | + | 0.0366537i | ||||
\(776\) | 8.37741 | + | 34.7058i | 0.300731 | + | 1.24587i | ||||
\(777\) | −25.2669 | − | 2.52143i | −0.906447 | − | 0.0904559i | ||||
\(778\) | −16.5902 | − | 18.4101i | −0.594787 | − | 0.660032i | ||||
\(779\) | 29.1929 | + | 38.0450i | 1.04595 | + | 1.36310i | ||||
\(780\) | 25.7607 | − | 0.695756i | 0.922379 | − | 0.0249121i | ||||
\(781\) | 21.5558 | + | 16.5404i | 0.771328 | + | 0.591860i | ||||
\(782\) | 15.6102 | + | 2.88654i | 0.558219 | + | 0.103222i | ||||
\(783\) | − | 50.1099i | − | 1.79078i | ||||||
\(784\) | 16.7322 | + | 22.4507i | 0.597578 | + | 0.801811i | ||||
\(785\) | 9.41452i | 0.336019i | ||||||||
\(786\) | −4.28843 | + | 23.1915i | −0.152963 | + | 0.827214i | ||||
\(787\) | −33.7494 | − | 25.8968i | −1.20304 | − | 0.923122i | −0.204590 | − | 0.978848i | \(-0.565586\pi\) |
−0.998446 | + | 0.0557260i | \(0.982253\pi\) | |||||||
\(788\) | −11.1872 | + | 11.8083i | −0.398527 | + | 0.420652i | ||||
\(789\) | 26.7941 | + | 34.9187i | 0.953894 | + | 1.24314i | ||||
\(790\) | −21.8165 | + | 19.6599i | −0.776195 | + | 0.699467i | ||||
\(791\) | 31.7241 | + | 3.16580i | 1.12798 | + | 0.112563i | ||||
\(792\) | 28.3388 | − | 20.6428i | 1.00698 | − | 0.733510i | ||||
\(793\) | 14.1275 | − | 3.78546i | 0.501683 | − | 0.134426i | ||||
\(794\) | 1.65690 | + | 3.24855i | 0.0588013 | + | 0.115287i | ||||
\(795\) | −4.35656 | − | 33.0913i | −0.154511 | − | 1.17363i | ||||
\(796\) | −38.2954 | − | 27.7752i | −1.35734 | − | 0.984464i | ||||
\(797\) | −2.45911 | − | 5.93682i | −0.0871061 | − | 0.210293i | 0.874324 | − | 0.485343i | \(-0.161305\pi\) |
−0.961430 | + | 0.275051i | \(0.911305\pi\) | |||||||
\(798\) | −20.4300 | + | 70.4341i | −0.723214 | + | 2.49334i | ||||
\(799\) | −22.9425 | −0.811646 | ||||||||
\(800\) | 1.63713 | − | 3.97547i | 0.0578813 | − | 0.140554i | ||||
\(801\) | 9.72174 | + | 16.8385i | 0.343501 | + | 0.594961i | ||||
\(802\) | −29.7037 | + | 2.35002i | −1.04887 | + | 0.0829820i | ||||
\(803\) | 26.3844 | + | 3.47358i | 0.931087 | + | 0.122580i | ||||
\(804\) | 38.5010 | + | 4.01462i | 1.35782 | + | 0.141585i | ||||
\(805\) | −8.35198 | + | 8.89433i | −0.294368 | + | 0.313484i | ||||
\(806\) | −13.9737 | − | 0.726571i | −0.492202 | − | 0.0255924i | ||||
\(807\) | −44.4320 | + | 11.9055i | −1.56408 | + | 0.419094i | ||||
\(808\) | 6.82860 | − | 2.63092i | 0.240229 | − | 0.0925554i | ||||
\(809\) | 37.5771 | + | 10.0687i | 1.32114 | + | 0.353998i | 0.849404 | − | 0.527742i | \(-0.176961\pi\) |
0.471735 | + | 0.881741i | \(0.343628\pi\) | |||||||
\(810\) | −0.328124 | − | 1.54059i | −0.0115291 | − | 0.0541307i | ||||
\(811\) | 13.4053 | − | 32.3632i | 0.470723 | − | 1.13642i | −0.493122 | − | 0.869960i | \(-0.664144\pi\) |
0.963845 | − | 0.266465i | \(-0.0858556\pi\) | |||||||
\(812\) | −3.54736 | + | 48.8701i | −0.124488 | + | 1.71500i | ||||
\(813\) | −18.6704 | + | 7.73355i | −0.654801 | + | 0.271227i | ||||
\(814\) | 2.20791 | − | 11.9402i | 0.0773872 | − | 0.418504i | ||||
\(815\) | −14.9258 | + | 8.61742i | −0.522829 | + | 0.301855i | ||||
\(816\) | 49.9444 | − | 42.7988i | 1.74841 | − | 1.49826i | ||||
\(817\) | −30.6825 | − | 17.7146i | −1.07345 | − | 0.619754i | ||||
\(818\) | −6.23609 | − | 17.5872i | −0.218040 | − | 0.614922i | ||||
\(819\) | −21.1125 | + | 13.0909i | −0.737731 | + | 0.457434i | ||||
\(820\) | 29.0628 | + | 15.7489i | 1.01492 | + | 0.549976i | ||||
\(821\) | 22.3420 | + | 29.1167i | 0.779742 | + | 1.01618i | 0.999177 | + | 0.0405524i | \(0.0129118\pi\) |
−0.219436 | + | 0.975627i | \(0.570422\pi\) | |||||||
\(822\) | −0.972197 | + | 2.99630i | −0.0339092 | + | 0.104508i | ||||
\(823\) | −23.3807 | − | 6.26484i | −0.815000 | − | 0.218378i | −0.172840 | − | 0.984950i | \(-0.555294\pi\) |
−0.642159 | + | 0.766571i | \(0.721961\pi\) | |||||||
\(824\) | −11.4826 | − | 21.0863i | −0.400016 | − | 0.734576i | ||||
\(825\) | −3.80911 | − | 3.80911i | −0.132616 | − | 0.132616i | ||||
\(826\) | −16.0313 | + | 11.7868i | −0.557799 | + | 0.410115i | ||||
\(827\) | −11.9206 | − | 4.93769i | −0.414521 | − | 0.171700i | 0.165669 | − | 0.986181i | \(-0.447022\pi\) |
−0.580190 | + | 0.814481i | \(0.697022\pi\) | |||||||
\(828\) | −2.97466 | − | 18.6819i | −0.103377 | − | 0.649241i | ||||
\(829\) | 21.4230 | − | 27.9190i | 0.744053 | − | 0.969668i | −0.255943 | − | 0.966692i | \(-0.582386\pi\) |
0.999996 | − | 0.00297653i | \(-0.000947461\pi\) | |||||||
\(830\) | −2.85361 | − | 36.0691i | −0.0990504 | − | 1.25198i | ||||
\(831\) | −2.15159 | + | 3.72666i | −0.0746377 | + | 0.129276i | ||||
\(832\) | 9.88136 | − | 11.6275i | 0.342575 | − | 0.403112i | ||||
\(833\) | 38.7573 | − | 13.0451i | 1.34286 | − | 0.451986i | ||||
\(834\) | 42.5376 | + | 20.2679i | 1.47296 | + | 0.701821i | ||||
\(835\) | −23.7488 | − | 3.12659i | −0.821861 | − | 0.108200i | ||||
\(836\) | −32.7507 | − | 12.5410i | −1.13271 | − | 0.433738i | ||||
\(837\) | 3.66403 | + | 27.8311i | 0.126647 | + | 0.961982i | ||||
\(838\) | 23.0236 | + | 14.9383i | 0.795338 | + | 0.516034i | ||||
\(839\) | 20.8066 | + | 20.8066i | 0.718325 | + | 0.718325i | 0.968262 | − | 0.249937i | \(-0.0804099\pi\) |
−0.249937 | + | 0.968262i | \(0.580410\pi\) | |||||||
\(840\) | 6.92353 | + | 50.0758i | 0.238884 | + | 1.72778i | ||||
\(841\) | −40.1249 | + | 40.1249i | −1.38362 | + | 1.38362i | ||||
\(842\) | −55.4612 | + | 11.8125i | −1.91132 | + | 0.407085i | ||||
\(843\) | −81.3222 | + | 10.7063i | −2.80088 | + | 0.368743i | ||||
\(844\) | −0.653445 | − | 24.1941i | −0.0224925 | − | 0.832795i | ||||
\(845\) | −2.93273 | + | 22.2763i | −0.100889 | + | 0.766328i | ||||
\(846\) | 9.13668 | + | 25.7675i | 0.314125 | + | 0.885906i | ||||
\(847\) | −1.99232 | − | 12.1647i | −0.0684569 | − | 0.417986i | ||||
\(848\) | −16.3059 | − | 11.1673i | −0.559945 | − | 0.383486i | ||||
\(849\) | −2.71354 | − | 1.56667i | −0.0931286 | − | 0.0537678i | ||||
\(850\) | −4.77641 | − | 4.07605i | −0.163830 | − | 0.139807i | ||||
\(851\) | −5.19784 | − | 3.98844i | −0.178180 | − | 0.136722i | ||||
\(852\) | 14.1313 | − | 59.0749i | 0.484129 | − | 2.02387i | ||||
\(853\) | −16.1928 | + | 39.0928i | −0.554430 | + | 1.33851i | 0.359691 | + | 0.933072i | \(0.382882\pi\) |
−0.914121 | + | 0.405441i | \(0.867118\pi\) | |||||||
\(854\) | 10.4336 | + | 26.7267i | 0.357031 | + | 0.914570i | ||||
\(855\) | −58.1725 | + | 58.1725i | −1.98946 | + | 1.98946i | ||||
\(856\) | 0.910076 | − | 1.12669i | 0.0311057 | − | 0.0385094i | ||||
\(857\) | −11.9490 | + | 44.5944i | −0.408171 | + | 1.52332i | 0.389960 | + | 0.920832i | \(0.372489\pi\) |
−0.798131 | + | 0.602483i | \(0.794178\pi\) | |||||||
\(858\) | −8.68681 | − | 17.0315i | −0.296563 | − | 0.581446i | ||||
\(859\) | −1.30660 | + | 1.00259i | −0.0445808 | + | 0.0342080i | −0.630811 | − | 0.775936i | \(-0.717278\pi\) |
0.586231 | + | 0.810144i | \(0.300611\pi\) | |||||||
\(860\) | −24.2900 | − | 2.53280i | −0.828282 | − | 0.0863677i | ||||
\(861\) | −51.2592 | + | 1.61198i | −1.74691 | + | 0.0549360i | ||||
\(862\) | 8.65277 | − | 18.1601i | 0.294715 | − | 0.618536i | ||||
\(863\) | −11.8511 | + | 20.5267i | −0.403415 | + | 0.698736i | −0.994136 | − | 0.108140i | \(-0.965510\pi\) |
0.590720 | + | 0.806877i | \(0.298844\pi\) | |||||||
\(864\) | −26.5423 | − | 15.2516i | −0.902987 | − | 0.518869i | ||||
\(865\) | 7.87051 | + | 13.6321i | 0.267605 | + | 0.463506i | ||||
\(866\) | 3.69618 | + | 5.37324i | 0.125601 | + | 0.182590i | ||||
\(867\) | −18.4499 | − | 44.5420i | −0.626592 | − | 1.51273i | ||||
\(868\) | −1.60316 | − | 27.4018i | −0.0544149 | − | 0.930078i | ||||
\(869\) | 20.1296 | + | 8.33796i | 0.682850 | + | 0.282846i | ||||
\(870\) | −48.1504 | + | 74.2118i | −1.63245 | + | 2.51602i | ||||
\(871\) | 3.39463 | − | 12.6689i | 0.115023 | − | 0.429270i | ||||
\(872\) | 7.27344 | − | 16.3908i | 0.246310 | − | 0.555061i | ||||
\(873\) | −16.0822 | − | 60.0194i | −0.544299 | − | 2.03135i | ||||
\(874\) | −14.0569 | + | 12.6673i | −0.475481 | + | 0.428479i | ||||
\(875\) | −25.7738 | + | 7.78217i | −0.871313 | + | 0.263085i | ||||
\(876\) | −16.9439 | − | 57.0293i | −0.572480 | − | 1.92684i | ||||
\(877\) | 5.75133 | − | 43.6857i | 0.194208 | − | 1.47516i | −0.565420 | − | 0.824803i | \(-0.691286\pi\) |
0.759629 | − | 0.650357i | \(-0.225381\pi\) | |||||||
\(878\) | −18.7438 | − | 15.9954i | −0.632574 | − | 0.539820i | ||||
\(879\) | −51.5177 | + | 29.7437i | −1.73765 | + | 1.00323i | ||||
\(880\) | −24.1387 | + | 1.30485i | −0.813716 | + | 0.0439865i | ||||
\(881\) | 24.7572i | 0.834091i | 0.908886 | + | 0.417045i | \(0.136934\pi\) | ||||
−0.908886 | + | 0.417045i | \(0.863066\pi\) | |||||||
\(882\) | −30.0862 | − | 38.3346i | −1.01306 | − | 1.29079i | ||||
\(883\) | −32.9264 | + | 13.6386i | −1.10806 | + | 0.458975i | −0.860270 | − | 0.509838i | \(-0.829705\pi\) |
−0.247793 | + | 0.968813i | \(0.579705\pi\) | |||||||
\(884\) | −11.6599 | − | 18.9922i | −0.392166 | − | 0.638777i | ||||
\(885\) | −35.6172 | + | 4.68909i | −1.19726 | + | 0.157622i | ||||
\(886\) | 0.0709530 | − | 0.218677i | 0.00238371 | − | 0.00734659i | ||||
\(887\) | −8.13062 | − | 30.3439i | −0.273000 | − | 1.01885i | −0.957170 | − | 0.289526i | \(-0.906502\pi\) |
0.684170 | − | 0.729322i | \(-0.260164\pi\) | |||||||
\(888\) | −26.3878 | + | 6.36957i | −0.885516 | + | 0.213749i | ||||
\(889\) | −1.09392 | + | 10.9620i | −0.0366889 | + | 0.367655i | ||||
\(890\) | 0.696128 | − | 13.3882i | 0.0233343 | − | 0.448773i | ||||
\(891\) | −0.927118 | + | 0.711403i | −0.0310596 | + | 0.0238329i | ||||
\(892\) | −11.4573 | + | 29.9208i | −0.383620 | + | 1.00182i | ||||
\(893\) | 16.6477 | − | 21.6958i | 0.557096 | − | 0.726021i | ||||
\(894\) | 45.6965 | − | 31.4340i | 1.52832 | − | 1.05131i | ||||
\(895\) | 47.5177 | 1.58834 | ||||||||
\(896\) | 24.8059 | + | 16.7532i | 0.828706 | + | 0.559684i | ||||
\(897\) | −10.3159 | −0.344438 | ||||||||
\(898\) | −13.5820 | + | 9.34286i | −0.453237 | + | 0.311775i | ||||
\(899\) | 29.2412 | − | 38.1078i | 0.975247 | − | 1.27097i | ||||
\(900\) | −2.67578 | + | 6.98782i | −0.0891928 | + | 0.232927i | ||||
\(901\) | −22.8995 | + | 17.5714i | −0.762892 | + | 0.585388i | ||||
\(902\) | 1.27343 | − | 24.4911i | 0.0424006 | − | 0.815464i | ||||
\(903\) | 34.5320 | − | 15.5927i | 1.14915 | − | 0.518893i | ||||
\(904\) | 33.1314 | − | 7.99736i | 1.10193 | − | 0.265988i | ||||
\(905\) | −8.43921 | − | 31.4956i | −0.280529 | − | 1.04695i | ||||
\(906\) | 21.8519 | − | 67.3474i | 0.725981 | − | 2.23747i | ||||
\(907\) | −2.17761 | + | 0.286688i | −0.0723065 | + | 0.00951933i | −0.166593 | − | 0.986026i | \(-0.553276\pi\) |
0.0942861 | + | 0.995545i | \(0.469943\pi\) | |||||||
\(908\) | −24.3079 | − | 39.5938i | −0.806686 | − | 1.31397i | ||||
\(909\) | −11.7666 | + | 4.87387i | −0.390272 | + | 0.161656i | ||||
\(910\) | 17.1248 | + | 0.351307i | 0.567680 | + | 0.0116457i | ||||
\(911\) | 9.57871i | 0.317357i | 0.987330 | + | 0.158678i | \(0.0507233\pi\) | ||||
−0.987330 | + | 0.158678i | \(0.949277\pi\) | |||||||
\(912\) | 4.23188 | + | 78.2865i | 0.140132 | + | 2.59232i | ||||
\(913\) | −23.2471 | + | 13.4217i | −0.769367 | + | 0.444194i | ||||
\(914\) | −29.1782 | − | 24.8998i | −0.965130 | − | 0.823613i | ||||
\(915\) | −6.76124 | + | 51.3567i | −0.223520 | + | 1.69780i | ||||
\(916\) | 10.8147 | + | 36.3998i | 0.357326 | + | 1.20268i | ||||
\(917\) | −3.57926 | + | 15.2617i | −0.118198 | + | 0.503987i | ||||
\(918\) | −33.2128 | + | 29.9297i | −1.09619 | + | 0.987826i | ||||
\(919\) | −4.14276 | − | 15.4610i | −0.136657 | − | 0.510011i | −0.999986 | − | 0.00536900i | \(-0.998291\pi\) |
0.863328 | − | 0.504642i | \(-0.168376\pi\) | |||||||
\(920\) | −5.29054 | + | 11.9223i | −0.174424 | + | 0.393066i | ||||
\(921\) | 11.4878 | − | 42.8732i | 0.378537 | − | 1.41272i | ||||
\(922\) | −6.50885 | + | 10.0318i | −0.214358 | + | 0.330379i | ||||
\(923\) | −19.0142 | − | 7.87592i | −0.625859 | − | 0.259239i | ||||
\(924\) | 31.3295 | − | 20.6175i | 1.03066 | − | 0.678265i | ||||
\(925\) | 0.991725 | + | 2.39424i | 0.0326077 | + | 0.0787220i | ||||
\(926\) | 23.2150 | + | 33.7483i | 0.762891 | + | 1.10904i | ||||
\(927\) | 20.8935 | + | 36.1886i | 0.686232 | + | 1.18859i | ||||
\(928\) | 13.6613 | + | 50.5689i | 0.448455 | + | 1.66001i | ||||
\(929\) | −7.44890 | + | 12.9019i | −0.244391 | + | 0.423297i | −0.961960 | − | 0.273190i | \(-0.911921\pi\) |
0.717570 | + | 0.696487i | \(0.245255\pi\) | |||||||
\(930\) | 21.3164 | − | 44.7380i | 0.698991 | − | 1.46702i | ||||
\(931\) | −15.7872 | + | 46.1171i | −0.517405 | + | 1.51143i | ||||
\(932\) | −10.4197 | − | 1.08649i | −0.341307 | − | 0.0355892i | ||||
\(933\) | −10.5177 | + | 8.07049i | −0.344333 | + | 0.264216i | ||||
\(934\) | −16.7265 | − | 32.7942i | −0.547307 | − | 1.07306i | ||||
\(935\) | −9.13783 | + | 34.1028i | −0.298839 | + | 1.11528i | ||||
\(936\) | −16.6873 | + | 20.6592i | −0.545443 | + | 0.675267i | ||||
\(937\) | 9.57260 | − | 9.57260i | 0.312723 | − | 0.312723i | −0.533240 | − | 0.845964i | \(-0.679026\pi\) |
0.845964 | + | 0.533240i | \(0.179026\pi\) | |||||||
\(938\) | 25.4345 | + | 3.88077i | 0.830466 | + | 0.126712i | ||||
\(939\) | −2.78622 | + | 6.72653i | −0.0909248 | + | 0.219512i | ||||
\(940\) | 4.38550 | − | 18.3333i | 0.143039 | − | 0.597966i | ||||
\(941\) | 27.9699 | + | 21.4621i | 0.911793 | + | 0.699643i | 0.954109 | − | 0.299461i | \(-0.0968069\pi\) |
−0.0423157 | + | 0.999104i | \(0.513474\pi\) | |||||||
\(942\) | −11.8777 | − | 10.1361i | −0.386996 | − | 0.330251i | ||||
\(943\) | −11.4596 | − | 6.61619i | −0.373175 | − | 0.215453i | ||||
\(944\) | −12.0197 | + | 17.5505i | −0.391207 | + | 0.571219i | ||||
\(945\) | −5.55377 | − | 33.9103i | −0.180664 | − | 1.10310i | ||||
\(946\) | 6.05512 | + | 17.0768i | 0.196869 | + | 0.555216i | ||||
\(947\) | 1.84458 | − | 14.0110i | 0.0599409 | − | 0.455296i | −0.934985 | − | 0.354687i | \(-0.884587\pi\) |
0.994926 | − | 0.100609i | \(-0.0320792\pi\) | |||||||
\(948\) | −1.31507 | − | 48.6911i | −0.0427116 | − | 1.58141i | ||||
\(949\) | −19.9854 | + | 2.63112i | −0.648752 | + | 0.0854098i | ||||
\(950\) | 7.32046 | − | 1.55916i | 0.237507 | − | 0.0505857i | ||||
\(951\) | 0.194117 | − | 0.194117i | 0.00629468 | − | 0.00629468i | ||||
\(952\) | 34.5098 | − | 26.8379i | 1.11847 | − | 0.869822i | ||||
\(953\) | 18.4907 | + | 18.4907i | 0.598972 | + | 0.598972i | 0.940039 | − | 0.341067i | \(-0.110788\pi\) |
−0.341067 | + | 0.940039i | \(0.610788\pi\) | |||||||
\(954\) | 28.8546 | + | 18.7216i | 0.934203 | + | 0.606133i | ||||
\(955\) | −2.09995 | − | 15.9507i | −0.0679527 | − | 0.516152i | ||||
\(956\) | 1.99980 | + | 0.765767i | 0.0646782 | + | 0.0247667i | ||||
\(957\) | 65.0702 | + | 8.56666i | 2.10342 | + | 0.276921i | ||||
\(958\) | 16.9420 | + | 8.07238i | 0.547372 | + | 0.260807i | ||||
\(959\) | −0.740041 | + | 1.95859i | −0.0238972 | + | 0.0632461i | ||||
\(960\) | 24.6535 | + | 48.0916i | 0.795687 | + | 1.55215i | ||||
\(961\) | 2.04590 | − | 3.54360i | 0.0659967 | − | 0.114310i | ||||
\(962\) | 0.725407 | + | 9.16899i | 0.0233881 | + | 0.295620i | ||||
\(963\) | −1.53449 | + | 1.99978i | −0.0494481 | + | 0.0644421i | ||||
\(964\) | −7.28413 | − | 45.7468i | −0.234606 | − | 1.47340i | ||||
\(965\) | −28.4454 | − | 11.7825i | −0.915691 | − | 0.379292i | ||||
\(966\) | −2.22931 | − | 20.1132i | −0.0717270 | − | 0.647130i | ||||
\(967\) | −7.51714 | − | 7.51714i | −0.241735 | − | 0.241735i | 0.575833 | − | 0.817568i | \(-0.304678\pi\) |
−0.817568 | + | 0.575833i | \(0.804678\pi\) | |||||||
\(968\) | −6.30223 | − | 11.5732i | −0.202561 | − | 0.371977i | ||||
\(969\) | 110.602 | + | 29.6357i | 3.55305 | + | 0.952037i | ||||
\(970\) | −13.2225 | + | 40.7518i | −0.424550 | + | 1.30846i | ||||
\(971\) | 8.92282 | + | 11.6284i | 0.286347 | + | 0.373174i | 0.914273 | − | 0.405098i | \(-0.132763\pi\) |
−0.627926 | + | 0.778273i | \(0.716096\pi\) | |||||||
\(972\) | −26.2502 | − | 14.2248i | −0.841975 | − | 0.456259i | ||||
\(973\) | 27.6014 | + | 14.7990i | 0.884859 | + | 0.474433i | ||||
\(974\) | 7.31955 | + | 20.6428i | 0.234533 | + | 0.661438i | ||||
\(975\) | 3.53373 | + | 2.04020i | 0.113170 | + | 0.0653387i | ||||
\(976\) | 19.9582 | + | 23.2904i | 0.638847 | + | 0.745509i | ||||
\(977\) | 23.1140 | − | 13.3449i | 0.739482 | − | 0.426940i | −0.0823987 | − | 0.996599i | \(-0.526258\pi\) |
0.821881 | + | 0.569659i | \(0.192925\pi\) | |||||||
\(978\) | 5.19772 | − | 28.1088i | 0.166205 | − | 0.898821i | ||||
\(979\) | −9.18907 | + | 3.80624i | −0.293684 | + | 0.121648i | ||||
\(980\) | 3.01579 | + | 33.4645i | 0.0963358 | + | 1.06898i | ||||
\(981\) | −11.9432 | + | 28.8333i | −0.381315 | + | 0.920577i | ||||
\(982\) | 2.96933 | + | 13.9414i | 0.0947551 | + | 0.444889i | ||||
\(983\) | 18.0879 | + | 4.84665i | 0.576916 | + | 0.154584i | 0.535466 | − | 0.844556i | \(-0.320136\pi\) |
0.0414494 | + | 0.999141i | \(0.486802\pi\) | |||||||
\(984\) | −51.1597 | + | 19.7108i | −1.63091 | + | 0.628356i | ||||
\(985\) | −18.8543 | + | 5.05200i | −0.600749 | + | 0.160970i | ||||
\(986\) | 76.3999 | + | 3.97246i | 2.43307 | + | 0.126509i | ||||
\(987\) | 8.45357 | + | 27.9974i | 0.269080 | + | 0.891167i | ||||
\(988\) | 26.4209 | + | 2.75500i | 0.840562 | + | 0.0876482i | ||||
\(989\) | 9.69251 | + | 1.27604i | 0.308204 | + | 0.0405758i | ||||
\(990\) | 41.9412 | − | 3.31819i | 1.33298 | − | 0.105459i | ||||
\(991\) | 25.6294 | + | 44.3914i | 0.814144 | + | 1.41014i | 0.909941 | + | 0.414738i | \(0.136127\pi\) |
−0.0957966 | + | 0.995401i | \(0.530540\pi\) | |||||||
\(992\) | −11.2851 | − | 27.0871i | −0.358302 | − | 0.860015i | ||||
\(993\) | −54.0147 | −1.71410 | ||||||||
\(994\) | 11.2468 | − | 38.7744i | 0.356728 | − | 1.22985i | ||||
\(995\) | −21.7246 | − | 52.4478i | −0.688716 | − | 1.66271i | ||||
\(996\) | 48.5784 | + | 35.2333i | 1.53926 | + | 1.11641i | ||||
\(997\) | 1.24381 | + | 9.44767i | 0.0393918 | + | 0.299211i | 0.999788 | + | 0.0205737i | \(0.00654929\pi\) |
−0.960396 | + | 0.278637i | \(0.910117\pi\) | |||||||
\(998\) | 4.82276 | + | 9.45560i | 0.152662 | + | 0.299312i | ||||
\(999\) | 17.8232 | − | 4.77570i | 0.563900 | − | 0.151096i |
(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 | 224.2.bd.a.37.6 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bh.a.625.3 | 240 | |||
7.4 | even | 3 | inner | 224.2.bd.a.165.16 | yes | 240 | |
28.11 | odd | 6 | 896.2.bh.a.753.28 | 240 | |||
32.13 | even | 8 | inner | 224.2.bd.a.205.16 | yes | 240 | |
32.19 | odd | 8 | 896.2.bh.a.401.28 | 240 | |||
224.109 | even | 24 | inner | 224.2.bd.a.109.6 | yes | 240 | |
224.179 | odd | 24 | 896.2.bh.a.529.3 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.37.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.bd.a.109.6 | yes | 240 | 224.109 | even | 24 | inner | |
224.2.bd.a.165.16 | yes | 240 | 7.4 | even | 3 | inner | |
224.2.bd.a.205.16 | yes | 240 | 32.13 | even | 8 | inner | |
896.2.bh.a.401.28 | 240 | 32.19 | odd | 8 | |||
896.2.bh.a.529.3 | 240 | 224.179 | odd | 24 | |||
896.2.bh.a.625.3 | 240 | 4.3 | odd | 2 | |||
896.2.bh.a.753.28 | 240 | 28.11 | odd | 6 |