Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.15 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.949542 | − | 1.04803i | −0.671428 | − | 0.741070i | ||||
\(3\) | 1.71582 | + | 0.236546i | 0.990630 | + | 0.136570i | ||||
\(4\) | −0.196739 | + | 1.99030i | −0.0983694 | + | 0.995150i | ||||
\(5\) | −0.101169 | − | 2.23378i | −0.0452443 | − | 0.998976i | ||||
\(6\) | −1.38134 | − | 2.02285i | −0.563929 | − | 0.825823i | ||||
\(7\) | 0.903444 | 0.341470 | 0.170735 | − | 0.985317i | \(-0.445386\pi\) | ||||
0.170735 | + | 0.985317i | \(0.445386\pi\) | |||||||
\(8\) | 2.27271 | − | 1.68369i | 0.803524 | − | 0.595273i | ||||
\(9\) | 2.88809 | + | 0.811741i | 0.962697 | + | 0.270580i | ||||
\(10\) | −2.24500 | + | 2.22710i | −0.709933 | + | 0.704269i | ||||
\(11\) | −0.0159524 | − | 0.0115901i | −0.00480983 | − | 0.00349455i | 0.585378 | − | 0.810761i | \(-0.300946\pi\) |
−0.590188 | + | 0.807266i | \(0.700946\pi\) | |||||||
\(12\) | −0.808366 | + | 3.36846i | −0.233355 | + | 0.972392i | ||||
\(13\) | −1.50613 | − | 2.07301i | −0.417726 | − | 0.574950i | 0.547356 | − | 0.836900i | \(-0.315635\pi\) |
−0.965082 | + | 0.261950i | \(0.915635\pi\) | |||||||
\(14\) | −0.857859 | − | 0.946838i | −0.229272 | − | 0.253053i | ||||
\(15\) | 0.354802 | − | 3.85670i | 0.0916096 | − | 0.995795i | ||||
\(16\) | −3.92259 | − | 0.783138i | −0.980647 | − | 0.195785i | ||||
\(17\) | −0.0389111 | + | 0.119756i | −0.00943734 | + | 0.0290451i | −0.955664 | − | 0.294458i | \(-0.904861\pi\) |
0.946227 | + | 0.323504i | \(0.104861\pi\) | |||||||
\(18\) | −1.89164 | − | 3.79759i | −0.445863 | − | 0.895101i | ||||
\(19\) | 5.78437 | + | 1.87945i | 1.32702 | + | 0.431176i | 0.884902 | − | 0.465778i | \(-0.154225\pi\) |
0.442123 | + | 0.896954i | \(0.354225\pi\) | |||||||
\(20\) | 4.46579 | + | 0.238114i | 0.998582 | + | 0.0532438i | ||||
\(21\) | 1.55015 | + | 0.213706i | 0.338270 | + | 0.0466345i | ||||
\(22\) | 0.00300070 | + | 0.0277239i | 0.000639751 | + | 0.00591076i | ||||
\(23\) | 4.34613 | − | 5.98194i | 0.906232 | − | 1.24732i | −0.0622055 | − | 0.998063i | \(-0.519813\pi\) |
0.968437 | − | 0.249258i | \(-0.0801866\pi\) | |||||||
\(24\) | 4.29783 | − | 2.35131i | 0.877291 | − | 0.479958i | ||||
\(25\) | −4.97953 | + | 0.451980i | −0.995906 | + | 0.0903959i | ||||
\(26\) | −0.742446 | + | 3.54689i | −0.145606 | + | 0.695602i | ||||
\(27\) | 4.76344 | + | 2.07597i | 0.916724 | + | 0.399521i | ||||
\(28\) | −0.177743 | + | 1.79813i | −0.0335902 | + | 0.339814i | ||||
\(29\) | −6.74343 | + | 2.19107i | −1.25222 | + | 0.406872i | −0.858717 | − | 0.512450i | \(-0.828738\pi\) |
−0.393506 | + | 0.919322i | \(0.628738\pi\) | |||||||
\(30\) | −4.37884 | + | 3.29025i | −0.799463 | + | 0.600715i | ||||
\(31\) | −1.78347 | − | 0.579484i | −0.320321 | − | 0.104078i | 0.144443 | − | 0.989513i | \(-0.453861\pi\) |
−0.464764 | + | 0.885435i | \(0.653861\pi\) | |||||||
\(32\) | 2.90391 | + | 4.85462i | 0.513344 | + | 0.858183i | ||||
\(33\) | −0.0246299 | − | 0.0236600i | −0.00428752 | − | 0.00411868i | ||||
\(34\) | 0.162456 | − | 0.0729335i | 0.0278610 | − | 0.0125080i | ||||
\(35\) | −0.0914009 | − | 2.01809i | −0.0154496 | − | 0.341120i | ||||
\(36\) | −2.18381 | + | 5.58847i | −0.363968 | + | 0.931411i | ||||
\(37\) | 2.02683 | + | 2.78969i | 0.333209 | + | 0.458623i | 0.942443 | − | 0.334368i | \(-0.108523\pi\) |
−0.609234 | + | 0.792991i | \(0.708523\pi\) | |||||||
\(38\) | −3.52277 | − | 7.84682i | −0.571469 | − | 1.27292i | ||||
\(39\) | −2.09389 | − | 3.91319i | −0.335291 | − | 0.626612i | ||||
\(40\) | −3.99091 | − | 4.90639i | −0.631018 | − | 0.775768i | ||||
\(41\) | −2.58437 | − | 3.55708i | −0.403611 | − | 0.555523i | 0.558035 | − | 0.829818i | \(-0.311556\pi\) |
−0.961646 | + | 0.274295i | \(0.911556\pi\) | |||||||
\(42\) | −1.24796 | − | 1.82753i | −0.192565 | − | 0.281994i | ||||
\(43\) | 7.15556 | 1.09121 | 0.545607 | − | 0.838041i | \(-0.316299\pi\) | ||||
0.545607 | + | 0.838041i | \(0.316299\pi\) | |||||||
\(44\) | 0.0262062 | − | 0.0294698i | 0.00395074 | − | 0.00444275i | ||||
\(45\) | 1.52106 | − | 6.53348i | 0.226747 | − | 0.973954i | ||||
\(46\) | −10.3961 | + | 1.12522i | −1.53282 | + | 0.165905i | ||||
\(47\) | −5.03956 | + | 1.63745i | −0.735096 | + | 0.238847i | −0.652556 | − | 0.757741i | \(-0.726303\pi\) |
−0.0825400 | + | 0.996588i | \(0.526303\pi\) | |||||||
\(48\) | −6.54522 | − | 2.27160i | −0.944720 | − | 0.327877i | ||||
\(49\) | −6.18379 | −0.883398 | ||||||||
\(50\) | 5.20196 | + | 4.78953i | 0.735669 | + | 0.677342i | ||||
\(51\) | −0.0950924 | + | 0.196276i | −0.0133156 | + | 0.0274841i | ||||
\(52\) | 4.42223 | − | 2.58981i | 0.613253 | − | 0.359142i | ||||
\(53\) | 0.0726282 | + | 0.223527i | 0.00997625 | + | 0.0307037i | 0.955921 | − | 0.293625i | \(-0.0948616\pi\) |
−0.945944 | + | 0.324329i | \(0.894862\pi\) | |||||||
\(54\) | −2.34741 | − | 6.96345i | −0.319441 | − | 0.947606i | ||||
\(55\) | −0.0242758 | + | 0.0368067i | −0.00327335 | + | 0.00496301i | ||||
\(56\) | 2.05327 | − | 1.52112i | 0.274379 | − | 0.203268i | ||||
\(57\) | 9.48037 | + | 4.59308i | 1.25571 | + | 0.608368i | ||||
\(58\) | 8.69949 | + | 4.98681i | 1.14230 | + | 0.654800i | ||||
\(59\) | −12.0918 | + | 8.78519i | −1.57422 | + | 1.14373i | −0.651243 | + | 0.758869i | \(0.725752\pi\) |
−0.922972 | + | 0.384866i | \(0.874248\pi\) | |||||||
\(60\) | 7.60618 | + | 1.46493i | 0.981954 | + | 0.189121i | ||||
\(61\) | 5.52424 | + | 4.01360i | 0.707307 | + | 0.513889i | 0.882304 | − | 0.470680i | \(-0.155992\pi\) |
−0.174997 | + | 0.984569i | \(0.555992\pi\) | |||||||
\(62\) | 1.08616 | + | 2.41938i | 0.137943 | + | 0.307261i | ||||
\(63\) | 2.60923 | + | 0.733363i | 0.328732 | + | 0.0923951i | ||||
\(64\) | 2.33041 | − | 7.65305i | 0.291301 | − | 0.956632i | ||||
\(65\) | −4.47828 | + | 3.57409i | −0.555462 | + | 0.443311i | ||||
\(66\) | −0.00140931 | + | 0.0482791i | −0.000173475 | + | 0.00594275i | ||||
\(67\) | −4.13519 | + | 12.7268i | −0.505194 | + | 1.55483i | 0.295250 | + | 0.955420i | \(0.404597\pi\) |
−0.800444 | + | 0.599407i | \(0.795403\pi\) | |||||||
\(68\) | −0.230695 | − | 0.101006i | −0.0279759 | − | 0.0122487i | ||||
\(69\) | 8.87220 | − | 9.23589i | 1.06809 | − | 1.11187i | ||||
\(70\) | −2.02824 | + | 2.01206i | −0.242421 | + | 0.240487i | ||||
\(71\) | 3.59697 | + | 11.0703i | 0.426881 | + | 1.31381i | 0.901181 | + | 0.433443i | \(0.142701\pi\) |
−0.474300 | + | 0.880363i | \(0.657299\pi\) | |||||||
\(72\) | 7.93051 | − | 3.01779i | 0.934619 | − | 0.355650i | ||||
\(73\) | −3.17175 | + | 4.36554i | −0.371225 | + | 0.510948i | −0.953233 | − | 0.302235i | \(-0.902267\pi\) |
0.582008 | + | 0.813183i | \(0.302267\pi\) | |||||||
\(74\) | 0.999124 | − | 4.77311i | 0.116146 | − | 0.554863i | ||||
\(75\) | −8.65090 | − | 0.402370i | −0.998920 | − | 0.0464617i | ||||
\(76\) | −4.87869 | + | 11.1429i | −0.559624 | + | 1.27817i | ||||
\(77\) | −0.0144121 | − | 0.0104710i | −0.00164241 | − | 0.00119328i | ||||
\(78\) | −2.11291 | + | 5.91020i | −0.239240 | + | 0.669199i | ||||
\(79\) | −0.586897 | + | 0.190695i | −0.0660311 | + | 0.0214548i | −0.341846 | − | 0.939756i | \(-0.611052\pi\) |
0.275815 | + | 0.961211i | \(0.411052\pi\) | |||||||
\(80\) | −1.35251 | + | 8.84142i | −0.151215 | + | 0.988501i | ||||
\(81\) | 7.68215 | + | 4.68877i | 0.853572 | + | 0.520974i | ||||
\(82\) | −1.27396 | + | 6.08610i | −0.140686 | + | 0.672097i | ||||
\(83\) | 11.0296 | + | 3.58375i | 1.21066 | + | 0.393367i | 0.843672 | − | 0.536858i | \(-0.180389\pi\) |
0.366988 | + | 0.930226i | \(0.380389\pi\) | |||||||
\(84\) | −0.730314 | + | 3.04322i | −0.0796838 | + | 0.332042i | ||||
\(85\) | 0.271445 | + | 0.0748032i | 0.0294424 | + | 0.00811355i | ||||
\(86\) | −6.79451 | − | 7.49925i | −0.732671 | − | 0.808665i | ||||
\(87\) | −12.0888 | + | 2.16436i | −1.29606 | + | 0.232044i | ||||
\(88\) | −0.0557692 | 0.000517917i | −0.00594502 | 5.52102e-5i | ||||||
\(89\) | −5.84353 | + | 8.04293i | −0.619413 | + | 0.852549i | −0.997310 | − | 0.0732989i | \(-0.976647\pi\) |
0.377897 | + | 0.925848i | \(0.376647\pi\) | |||||||
\(90\) | −8.29161 | + | 4.60969i | −0.874012 | + | 0.485904i | ||||
\(91\) | −1.36071 | − | 1.87285i | −0.142641 | − | 0.196328i | ||||
\(92\) | 11.0508 | + | 9.82699i | 1.15213 | + | 1.02453i | ||||
\(93\) | −2.92304 | − | 1.41616i | −0.303105 | − | 0.146849i | ||||
\(94\) | 6.50138 | + | 3.72679i | 0.670566 | + | 0.384389i | ||||
\(95\) | 3.61308 | − | 13.1111i | 0.370695 | − | 1.34517i | ||||
\(96\) | 3.83425 | + | 9.01657i | 0.391332 | + | 0.920250i | ||||
\(97\) | 12.3121 | − | 4.00046i | 1.25011 | − | 0.406185i | 0.392149 | − | 0.919902i | \(-0.371732\pi\) |
0.857960 | + | 0.513717i | \(0.171732\pi\) | |||||||
\(98\) | 5.87177 | + | 6.48080i | 0.593138 | + | 0.654660i | ||||
\(99\) | −0.0366638 | − | 0.0464225i | −0.00368486 | − | 0.00466564i | ||||
\(100\) | 0.0800916 | − | 9.99968i | 0.00800916 | − | 0.999968i | ||||
\(101\) | − | 3.98290i | − | 0.396314i | −0.980170 | − | 0.198157i | \(-0.936504\pi\) | ||
0.980170 | − | 0.198157i | \(-0.0634955\pi\) | |||||||
\(102\) | 0.295998 | − | 0.0867126i | 0.0293081 | − | 0.00858582i | ||||
\(103\) | −0.978409 | − | 3.01123i | −0.0964055 | − | 0.296705i | 0.891212 | − | 0.453587i | \(-0.149856\pi\) |
−0.987617 | + | 0.156882i | \(0.949856\pi\) | |||||||
\(104\) | −6.91330 | − | 2.17550i | −0.677905 | − | 0.213325i | ||||
\(105\) | 0.320544 | − | 3.48431i | 0.0312819 | − | 0.340034i | ||||
\(106\) | 0.165299 | − | 0.288365i | 0.0160553 | − | 0.0280084i | ||||
\(107\) | − | 8.63326i | − | 0.834609i | −0.908767 | − | 0.417304i | \(-0.862975\pi\) | ||
0.908767 | − | 0.417304i | \(-0.137025\pi\) | |||||||
\(108\) | −5.06896 | + | 9.07225i | −0.487761 | + | 0.872977i | ||||
\(109\) | −9.01184 | + | 6.54748i | −0.863177 | + | 0.627135i | −0.928748 | − | 0.370713i | \(-0.879113\pi\) |
0.0655701 | + | 0.997848i | \(0.479113\pi\) | |||||||
\(110\) | 0.0616255 | − | 0.00950770i | 0.00587576 | − | 0.000906523i | ||||
\(111\) | 2.81779 | + | 5.26606i | 0.267453 | + | 0.499832i | ||||
\(112\) | −3.54384 | − | 0.707522i | −0.334861 | − | 0.0668545i | ||||
\(113\) | 1.95622 | − | 1.42128i | 0.184026 | − | 0.133703i | −0.491958 | − | 0.870619i | \(-0.663719\pi\) |
0.675984 | + | 0.736916i | \(0.263719\pi\) | |||||||
\(114\) | −4.18832 | − | 14.2970i | −0.392272 | − | 1.33904i | ||||
\(115\) | −13.8020 | − | 9.10311i | −1.28705 | − | 0.848870i | ||||
\(116\) | −3.03420 | − | 13.8525i | −0.281718 | − | 1.28617i | ||||
\(117\) | −2.66710 | − | 7.20964i | −0.246573 | − | 0.666532i | ||||
\(118\) | 20.6888 | + | 4.33065i | 1.90456 | + | 0.398669i | ||||
\(119\) | −0.0351541 | + | 0.108193i | −0.00322257 | + | 0.00991804i | ||||
\(120\) | −5.68710 | − | 9.36252i | −0.519159 | − | 0.854678i | ||||
\(121\) | −3.39907 | − | 10.4613i | −0.309006 | − | 0.951023i | ||||
\(122\) | −1.03913 | − | 9.60066i | −0.0940782 | − | 0.869203i | ||||
\(123\) | −3.59291 | − | 6.71464i | −0.323962 | − | 0.605439i | ||||
\(124\) | 1.50423 | − | 3.43563i | 0.135083 | − | 0.308529i | ||||
\(125\) | 1.51340 | + | 11.0774i | 0.135362 | + | 0.990796i | ||||
\(126\) | −1.70899 | − | 3.43091i | −0.152249 | − | 0.305650i | ||||
\(127\) | −10.5934 | − | 7.69654i | −0.940011 | − | 0.682958i | 0.00841253 | − | 0.999965i | \(-0.497322\pi\) |
−0.948423 | + | 0.317007i | \(0.897322\pi\) | |||||||
\(128\) | −10.2335 | + | 4.82456i | −0.904518 | + | 0.426435i | ||||
\(129\) | 12.2777 | + | 1.69262i | 1.08099 | + | 0.149027i | ||||
\(130\) | 7.99807 | + | 1.29962i | 0.701477 | + | 0.113985i | ||||
\(131\) | −5.75685 | + | 17.7178i | −0.502978 | + | 1.54801i | 0.301165 | + | 0.953572i | \(0.402625\pi\) |
−0.804143 | + | 0.594436i | \(0.797375\pi\) | |||||||
\(132\) | 0.0519362 | − | 0.0443660i | 0.00452047 | − | 0.00386157i | ||||
\(133\) | 5.22585 | + | 1.69798i | 0.453139 | + | 0.147234i | ||||
\(134\) | 17.2646 | − | 7.75084i | 1.49144 | − | 0.669570i | ||||
\(135\) | 4.15534 | − | 10.8505i | 0.357635 | − | 0.933861i | ||||
\(136\) | 0.113198 | + | 0.337685i | 0.00970665 | + | 0.0289562i | ||||
\(137\) | −15.8417 | + | 11.5097i | −1.35345 | + | 0.983338i | −0.354617 | + | 0.935012i | \(0.615389\pi\) |
−0.998832 | + | 0.0483266i | \(0.984611\pi\) | |||||||
\(138\) | −18.1040 | − | 0.528474i | −1.54112 | − | 0.0449867i | ||||
\(139\) | 5.11629 | − | 7.04197i | 0.433958 | − | 0.597292i | −0.534898 | − | 0.844917i | \(-0.679650\pi\) |
0.968856 | + | 0.247625i | \(0.0796499\pi\) | |||||||
\(140\) | 4.03460 | + | 0.215122i | 0.340986 | + | 0.0181812i | ||||
\(141\) | −9.03433 | + | 1.61749i | −0.760828 | + | 0.136217i | ||||
\(142\) | 8.18657 | − | 14.2815i | 0.687002 | − | 1.19847i | ||||
\(143\) | 0.0505258i | 0.00422518i | ||||||||
\(144\) | −10.6931 | − | 5.44590i | −0.891091 | − | 0.453825i | ||||
\(145\) | 5.57660 | + | 14.8417i | 0.463111 | + | 1.23253i | ||||
\(146\) | 7.58693 | − | 0.821172i | 0.627899 | − | 0.0679606i | ||||
\(147\) | −10.6103 | − | 1.46275i | −0.875121 | − | 0.120646i | ||||
\(148\) | −5.95108 | + | 3.48516i | −0.489176 | + | 0.286478i | ||||
\(149\) | − | 20.0993i | − | 1.64660i | −0.567606 | − | 0.823300i | \(-0.692130\pi\) | ||
0.567606 | − | 0.823300i | \(-0.307870\pi\) | |||||||
\(150\) | 7.79270 | + | 9.44848i | 0.636271 | + | 0.771465i | ||||
\(151\) | − | 6.79426i | − | 0.552909i | −0.961027 | − | 0.276455i | \(-0.910840\pi\) | ||
0.961027 | − | 0.276455i | \(-0.0891595\pi\) | |||||||
\(152\) | 16.3106 | − | 5.46760i | 1.32296 | − | 0.443481i | ||||
\(153\) | −0.209590 | + | 0.314281i | −0.0169443 | + | 0.0254081i | ||||
\(154\) | 0.00271096 | + | 0.0250470i | 0.000218456 | + | 0.00201835i | ||||
\(155\) | −1.11401 | + | 4.04250i | −0.0894792 | + | 0.324702i | ||||
\(156\) | 8.20037 | − | 3.39760i | 0.656555 | − | 0.272025i | ||||
\(157\) | − | 16.6707i | − | 1.33046i | −0.746637 | − | 0.665232i | \(-0.768333\pi\) | ||
0.746637 | − | 0.665232i | \(-0.231667\pi\) | |||||||
\(158\) | 0.757138 | + | 0.434014i | 0.0602346 | + | 0.0345283i | ||||
\(159\) | 0.0717428 | + | 0.400712i | 0.00568957 | + | 0.0317785i | ||||
\(160\) | 10.5504 | − | 6.97783i | 0.834079 | − | 0.551646i | ||||
\(161\) | 3.92649 | − | 5.40435i | 0.309451 | − | 0.425923i | ||||
\(162\) | −2.38055 | − | 12.5033i | −0.187034 | − | 0.982353i | ||||
\(163\) | 1.13970 | − | 0.828038i | 0.0892679 | − | 0.0648570i | −0.542256 | − | 0.840213i | \(-0.682430\pi\) |
0.631524 | + | 0.775356i | \(0.282430\pi\) | |||||||
\(164\) | 7.58810 | − | 4.44386i | 0.592531 | − | 0.347007i | ||||
\(165\) | −0.0503595 | + | 0.0574114i | −0.00392048 | + | 0.00446947i | ||||
\(166\) | −6.71723 | − | 14.9623i | −0.521358 | − | 1.16130i | ||||
\(167\) | −0.226354 | − | 0.0735469i | −0.0175158 | − | 0.00569123i | 0.300246 | − | 0.953862i | \(-0.402931\pi\) |
−0.317762 | + | 0.948171i | \(0.602931\pi\) | |||||||
\(168\) | 3.88285 | − | 2.12427i | 0.299569 | − | 0.163891i | ||||
\(169\) | 1.98827 | − | 6.11927i | 0.152944 | − | 0.470713i | ||||
\(170\) | −0.179353 | − | 0.355512i | −0.0137557 | − | 0.0272665i | ||||
\(171\) | 15.1802 | + | 10.1234i | 1.16086 | + | 0.774159i | ||||
\(172\) | −1.40778 | + | 14.2417i | −0.107342 | + | 1.08592i | ||||
\(173\) | −1.78034 | − | 1.29349i | −0.135357 | − | 0.0983426i | 0.518046 | − | 0.855352i | \(-0.326659\pi\) |
−0.653403 | + | 0.757010i | \(0.726659\pi\) | |||||||
\(174\) | 13.7472 | + | 10.6143i | 1.04217 | + | 0.804668i | ||||
\(175\) | −4.49873 | + | 0.408338i | −0.340072 | + | 0.0308675i | ||||
\(176\) | 0.0534980 | + | 0.0579561i | 0.00403257 | + | 0.00436861i | ||||
\(177\) | −22.8254 | + | 12.2136i | −1.71567 | + | 0.918028i | ||||
\(178\) | 13.9779 | − | 1.51290i | 1.04769 | − | 0.113397i | ||||
\(179\) | 2.98700 | + | 9.19303i | 0.223259 | + | 0.687119i | 0.998464 | + | 0.0554096i | \(0.0176465\pi\) |
−0.775205 | + | 0.631710i | \(0.782354\pi\) | |||||||
\(180\) | 12.7043 | + | 4.31276i | 0.946925 | + | 0.321454i | ||||
\(181\) | −1.94585 | + | 5.98871i | −0.144634 | + | 0.445137i | −0.996964 | − | 0.0778674i | \(-0.975189\pi\) |
0.852330 | + | 0.523005i | \(0.175189\pi\) | |||||||
\(182\) | −0.670759 | + | 3.20442i | −0.0497200 | + | 0.237527i | ||||
\(183\) | 8.52922 | + | 8.19336i | 0.630498 | + | 0.605670i | ||||
\(184\) | −0.194212 | − | 20.9127i | −0.0143175 | − | 1.54171i | ||||
\(185\) | 6.02650 | − | 4.80972i | 0.443077 | − | 0.353618i | ||||
\(186\) | 1.29137 | + | 4.40815i | 0.0946877 | + | 0.323221i | ||||
\(187\) | 0.00200871 | − | 0.00145941i | 0.000146892 | − | 0.000106723i | ||||
\(188\) | −2.26755 | − | 10.3524i | −0.165378 | − | 0.755026i | ||||
\(189\) | 4.30350 | + | 1.87552i | 0.313034 | + | 0.136424i | ||||
\(190\) | −17.1717 | + | 8.66295i | −1.24576 | + | 0.628477i | ||||
\(191\) | 15.1282 | − | 10.9913i | 1.09464 | − | 0.795303i | 0.114464 | − | 0.993427i | \(-0.463485\pi\) |
0.980177 | + | 0.198124i | \(0.0634849\pi\) | |||||||
\(192\) | 5.80886 | − | 12.5800i | 0.419218 | − | 0.907885i | ||||
\(193\) | − | 19.5438i | − | 1.40679i | −0.710798 | − | 0.703396i | \(-0.751666\pi\) | ||
0.710798 | − | 0.703396i | \(-0.248334\pi\) | |||||||
\(194\) | −15.8835 | − | 9.10490i | −1.14037 | − | 0.653694i | ||||
\(195\) | −8.52936 | + | 5.07319i | −0.610800 | + | 0.363298i | ||||
\(196\) | 1.21659 | − | 12.3076i | 0.0868994 | − | 0.879114i | ||||
\(197\) | 1.38996 | + | 4.27787i | 0.0990308 | + | 0.304785i | 0.988283 | − | 0.152631i | \(-0.0487747\pi\) |
−0.889252 | + | 0.457417i | \(0.848775\pi\) | |||||||
\(198\) | −0.0138384 | + | 0.0825050i | −0.000983449 | + | 0.00586337i | ||||
\(199\) | 19.0412i | 1.34979i | 0.737912 | + | 0.674897i | \(0.235812\pi\) | ||||
−0.737912 | + | 0.674897i | \(0.764188\pi\) | |||||||
\(200\) | −10.5560 | + | 9.41118i | −0.746424 | + | 0.665471i | ||||
\(201\) | −10.1057 | + | 20.8588i | −0.712803 | + | 1.47127i | ||||
\(202\) | −4.17421 | + | 3.78193i | −0.293696 | + | 0.266096i | ||||
\(203\) | −6.09231 | + | 1.97951i | −0.427597 | + | 0.138935i | ||||
\(204\) | −0.371940 | − | 0.227878i | −0.0260410 | − | 0.0159546i | ||||
\(205\) | −7.68427 | + | 6.13278i | −0.536693 | + | 0.428332i | ||||
\(206\) | −2.22682 | + | 3.88469i | −0.155150 | + | 0.270659i | ||||
\(207\) | 17.4078 | − | 13.7485i | 1.20993 | − | 0.955584i | ||||
\(208\) | 4.28448 | + | 9.31108i | 0.297075 | + | 0.645608i | ||||
\(209\) | −0.0704915 | − | 0.0970232i | −0.00487600 | − | 0.00671123i | ||||
\(210\) | −3.95604 | + | 2.97256i | −0.272993 | + | 0.205126i | ||||
\(211\) | −6.36569 | + | 8.76162i | −0.438232 | + | 0.603175i | −0.969818 | − | 0.243829i | \(-0.921596\pi\) |
0.531586 | + | 0.847004i | \(0.321596\pi\) | |||||||
\(212\) | −0.459174 | + | 0.100576i | −0.0315362 | + | 0.00690755i | ||||
\(213\) | 3.55312 | + | 19.8456i | 0.243456 | + | 1.35980i | ||||
\(214\) | −9.04793 | + | 8.19765i | −0.618504 | + | 0.560380i | ||||
\(215\) | −0.723923 | − | 15.9839i | −0.0493712 | − | 1.09010i | ||||
\(216\) | 14.3212 | − | 3.30206i | 0.974433 | − | 0.224677i | ||||
\(217\) | −1.61127 | − | 0.523532i | −0.109380 | − | 0.0355397i | ||||
\(218\) | 15.4191 | + | 3.22757i | 1.04431 | + | 0.218599i | ||||
\(219\) | −6.47481 | + | 6.74023i | −0.437527 | + | 0.455462i | ||||
\(220\) | −0.0684804 | − | 0.0555575i | −0.00461695 | − | 0.00374568i | ||||
\(221\) | 0.306861 | − | 0.0997053i | 0.0206417 | − | 0.00670691i | ||||
\(222\) | 2.84338 | − | 7.95348i | 0.190835 | − | 0.533802i | ||||
\(223\) | −14.2795 | − | 10.3746i | −0.956224 | − | 0.694738i | −0.00395365 | − | 0.999992i | \(-0.501258\pi\) |
−0.952271 | + | 0.305254i | \(0.901258\pi\) | |||||||
\(224\) | 2.62352 | + | 4.38588i | 0.175291 | + | 0.293044i | ||||
\(225\) | −14.7482 | − | 2.73673i | −0.983215 | − | 0.182449i | ||||
\(226\) | −3.34706 | − | 0.700617i | −0.222643 | − | 0.0466043i | ||||
\(227\) | −1.59211 | + | 2.19135i | −0.105672 | + | 0.145445i | −0.858578 | − | 0.512683i | \(-0.828651\pi\) |
0.752906 | + | 0.658128i | \(0.228651\pi\) | |||||||
\(228\) | −11.0068 | + | 17.9651i | −0.728940 | + | 1.18977i | ||||
\(229\) | 2.95113 | + | 9.08265i | 0.195016 | + | 0.600199i | 0.999976 | + | 0.00686958i | \(0.00218667\pi\) |
−0.804960 | + | 0.593329i | \(0.797813\pi\) | |||||||
\(230\) | 3.56526 | + | 23.1087i | 0.235086 | + | 1.52375i | ||||
\(231\) | −0.0222517 | − | 0.0213755i | −0.00146406 | − | 0.00140641i | ||||
\(232\) | −11.6368 | + | 16.3335i | −0.763991 | + | 1.07235i | ||||
\(233\) | 7.82413 | − | 24.0802i | 0.512576 | − | 1.57755i | −0.275074 | − | 0.961423i | \(-0.588702\pi\) |
0.787650 | − | 0.616123i | \(-0.211298\pi\) | |||||||
\(234\) | −5.02341 | + | 9.64106i | −0.328390 | + | 0.630256i | ||||
\(235\) | 4.16756 | + | 11.0916i | 0.271861 | + | 0.723537i | ||||
\(236\) | −15.1062 | − | 25.7947i | −0.983333 | − | 1.67909i | ||||
\(237\) | −1.05212 | + | 0.188370i | −0.0683425 | + | 0.0122359i | ||||
\(238\) | 0.146770 | − | 0.0658913i | 0.00951368 | − | 0.00427110i | ||||
\(239\) | 2.53026 | + | 1.83834i | 0.163669 | + | 0.118912i | 0.666605 | − | 0.745411i | \(-0.267747\pi\) |
−0.502936 | + | 0.864324i | \(0.667747\pi\) | |||||||
\(240\) | −4.41207 | + | 14.8504i | −0.284798 | + | 0.958588i | ||||
\(241\) | 16.2078 | − | 11.7757i | 1.04404 | − | 0.758539i | 0.0729691 | − | 0.997334i | \(-0.476753\pi\) |
0.971070 | + | 0.238795i | \(0.0767525\pi\) | |||||||
\(242\) | −7.73616 | + | 13.4957i | −0.497299 | + | 0.867538i | ||||
\(243\) | 12.0721 | + | 9.86227i | 0.774426 | + | 0.632665i | ||||
\(244\) | −9.07510 | + | 10.2053i | −0.580974 | + | 0.653326i | ||||
\(245\) | 0.625610 | + | 13.8132i | 0.0399687 | + | 0.882494i | ||||
\(246\) | −3.62553 | + | 10.1413i | −0.231156 | + | 0.646587i | ||||
\(247\) | −4.81589 | − | 14.8218i | −0.306427 | − | 0.943087i | ||||
\(248\) | −5.02898 | + | 1.68580i | −0.319340 | + | 0.107049i | ||||
\(249\) | 18.0772 | + | 8.75809i | 1.14559 | + | 0.555021i | ||||
\(250\) | 10.1725 | − | 12.1046i | 0.643363 | − | 0.765561i | ||||
\(251\) | −10.7667 | −0.679590 | −0.339795 | − | 0.940499i | \(-0.610358\pi\) | ||||
−0.339795 | + | 0.940499i | \(0.610358\pi\) | |||||||
\(252\) | −1.97295 | + | 5.04887i | −0.124284 | + | 0.318049i | ||||
\(253\) | −0.138663 | + | 0.0450542i | −0.00871764 | + | 0.00283253i | ||||
\(254\) | 1.99265 | + | 18.4104i | 0.125030 | + | 1.15517i | ||||
\(255\) | 0.448058 | + | 0.192558i | 0.0280585 | + | 0.0120585i | ||||
\(256\) | 14.7734 | + | 6.14386i | 0.923337 | + | 0.383991i | ||||
\(257\) | −10.3946 | −0.648396 | −0.324198 | − | 0.945989i | \(-0.605094\pi\) | ||||
−0.324198 | + | 0.945989i | \(0.605094\pi\) | |||||||
\(258\) | −9.88425 | − | 14.4746i | −0.615367 | − | 0.901149i | ||||
\(259\) | 1.83113 | + | 2.52033i | 0.113781 | + | 0.156606i | ||||
\(260\) | −6.23246 | − | 9.61628i | −0.386521 | − | 0.596376i | ||||
\(261\) | −21.2542 | + | 0.854101i | −1.31560 | + | 0.0528675i | ||||
\(262\) | 24.0351 | − | 10.7904i | 1.48490 | − | 0.666633i | ||||
\(263\) | −5.84833 | − | 8.04953i | −0.360623 | − | 0.496355i | 0.589699 | − | 0.807623i | \(-0.299246\pi\) |
−0.950322 | + | 0.311268i | \(0.899246\pi\) | |||||||
\(264\) | −0.0958126 | − | 0.0123033i | −0.00589686 | − | 0.000757218i | ||||
\(265\) | 0.491961 | − | 0.184849i | 0.0302209 | − | 0.0113552i | ||||
\(266\) | −3.18263 | − | 7.08916i | −0.195140 | − | 0.434664i | ||||
\(267\) | −11.9290 | + | 12.4180i | −0.730042 | + | 0.759968i | ||||
\(268\) | −24.5166 | − | 10.7341i | −1.49759 | − | 0.655691i | ||||
\(269\) | 17.1210 | + | 5.56295i | 1.04389 | + | 0.339179i | 0.780266 | − | 0.625448i | \(-0.215084\pi\) |
0.263619 | + | 0.964627i | \(0.415084\pi\) | |||||||
\(270\) | −15.3173 | + | 5.94807i | −0.932183 | + | 0.361988i | ||||
\(271\) | 31.0279 | − | 10.0816i | 1.88481 | − | 0.612412i | 0.900819 | − | 0.434195i | \(-0.142967\pi\) |
0.983991 | − | 0.178217i | \(-0.0570328\pi\) | |||||||
\(272\) | 0.246418 | − | 0.439281i | 0.0149413 | − | 0.0266353i | ||||
\(273\) | −1.89172 | − | 3.53535i | −0.114492 | − | 0.213969i | ||||
\(274\) | 27.1049 | + | 5.67368i | 1.63747 | + | 0.342760i | ||||
\(275\) | 0.0846740 | + | 0.0505031i | 0.00510603 | + | 0.00304545i | ||||
\(276\) | 16.6367 | + | 19.4754i | 1.00141 | + | 1.17228i | ||||
\(277\) | 8.71863 | − | 12.0002i | 0.523852 | − | 0.721020i | −0.462326 | − | 0.886710i | \(-0.652985\pi\) |
0.986178 | + | 0.165690i | \(0.0529851\pi\) | |||||||
\(278\) | −12.2383 | + | 1.32462i | −0.734007 | + | 0.0794452i | ||||
\(279\) | −4.68043 | − | 3.12132i | −0.280210 | − | 0.186869i | ||||
\(280\) | −3.60556 | − | 4.43265i | −0.215474 | − | 0.264901i | ||||
\(281\) | 3.16219 | + | 1.02746i | 0.188640 | + | 0.0612929i | 0.401814 | − | 0.915721i | \(-0.368380\pi\) |
−0.213173 | + | 0.977014i | \(0.568380\pi\) | |||||||
\(282\) | 10.2737 | + | 7.93238i | 0.611787 | + | 0.472366i | ||||
\(283\) | 0.507133 | − | 1.56079i | 0.0301459 | − | 0.0927796i | −0.934852 | − | 0.355039i | \(-0.884468\pi\) |
0.964997 | + | 0.262259i | \(0.0844676\pi\) | |||||||
\(284\) | −22.7409 | + | 4.98108i | −1.34943 | + | 0.295573i | ||||
\(285\) | 9.30079 | − | 21.6417i | 0.550931 | − | 1.28194i | ||||
\(286\) | 0.0529526 | − | 0.0479763i | 0.00313115 | − | 0.00283690i | ||||
\(287\) | −2.33484 | − | 3.21362i | −0.137821 | − | 0.189694i | ||||
\(288\) | 4.44606 | + | 16.3778i | 0.261987 | + | 0.965071i | ||||
\(289\) | 13.7405 | + | 9.98303i | 0.808262 | + | 0.587237i | ||||
\(290\) | 10.2593 | − | 19.9372i | 0.602447 | − | 1.17075i | ||||
\(291\) | 22.0717 | − | 3.95169i | 1.29387 | − | 0.231652i | ||||
\(292\) | −8.06473 | − | 7.17161i | −0.471953 | − | 0.419687i | ||||
\(293\) | 16.5822 | 0.968744 | 0.484372 | − | 0.874862i | \(-0.339048\pi\) | ||||
0.484372 | + | 0.874862i | \(0.339048\pi\) | |||||||
\(294\) | 8.54190 | + | 12.5088i | 0.498174 | + | 0.729531i | ||||
\(295\) | 20.8475 | + | 26.1216i | 1.21379 | + | 1.52086i | ||||
\(296\) | 9.30336 | + | 2.92761i | 0.540747 | + | 0.170164i | ||||
\(297\) | −0.0519276 | − | 0.0883254i | −0.00301314 | − | 0.00512516i | ||||
\(298\) | −21.0647 | + | 19.0852i | −1.22025 | + | 1.10557i | ||||
\(299\) | −18.9465 | −1.09570 | ||||||||
\(300\) | 2.50281 | − | 17.1387i | 0.144500 | − | 0.989505i | ||||
\(301\) | 6.46465 | 0.372616 | ||||||||
\(302\) | −7.12060 | + | 6.45144i | −0.409744 | + | 0.371239i | ||||
\(303\) | 0.942139 | − | 6.83395i | 0.0541245 | − | 0.392600i | ||||
\(304\) | −21.2178 | − | 11.9023i | −1.21692 | − | 0.682643i | ||||
\(305\) | 8.40660 | − | 12.7460i | 0.481361 | − | 0.729833i | ||||
\(306\) | 0.528391 | − | 0.0787663i | 0.0302061 | − | 0.00450277i | ||||
\(307\) | 21.4016 | 1.22146 | 0.610728 | − | 0.791841i | \(-0.290877\pi\) | ||||
0.610728 | + | 0.791841i | \(0.290877\pi\) | |||||||
\(308\) | 0.0236759 | − | 0.0266244i | 0.00134906 | − | 0.00151706i | ||||
\(309\) | −0.966481 | − | 5.39818i | −0.0549812 | − | 0.307092i | ||||
\(310\) | 5.29446 | − | 2.67101i | 0.300705 | − | 0.151703i | ||||
\(311\) | −16.3800 | − | 11.9008i | −0.928824 | − | 0.674830i | 0.0168804 | − | 0.999858i | \(-0.494627\pi\) |
−0.945705 | + | 0.325027i | \(0.894627\pi\) | |||||||
\(312\) | −11.3474 | − | 5.36809i | −0.642419 | − | 0.303908i | ||||
\(313\) | −15.2080 | − | 20.9320i | −0.859608 | − | 1.18315i | −0.981663 | − | 0.190626i | \(-0.938948\pi\) |
0.122054 | − | 0.992523i | \(-0.461052\pi\) | |||||||
\(314\) | −17.4714 | + | 15.8295i | −0.985966 | + | 0.893310i | ||||
\(315\) | 1.37420 | − | 5.90264i | 0.0774272 | − | 0.332576i | ||||
\(316\) | −0.264074 | − | 1.20562i | −0.0148553 | − | 0.0678214i | ||||
\(317\) | −3.37828 | + | 10.3973i | −0.189743 | + | 0.583969i | −0.999998 | − | 0.00210901i | \(-0.999329\pi\) |
0.810255 | + | 0.586078i | \(0.199329\pi\) | |||||||
\(318\) | 0.351836 | − | 0.455681i | 0.0197300 | − | 0.0255533i | ||||
\(319\) | 0.132969 | + | 0.0432041i | 0.00744482 | + | 0.00241897i | ||||
\(320\) | −17.3310 | − | 4.43135i | −0.968832 | − | 0.247720i | ||||
\(321\) | 2.04216 | − | 14.8131i | 0.113982 | − | 0.826789i | ||||
\(322\) | −9.39230 | + | 1.01658i | −0.523412 | + | 0.0566515i | ||||
\(323\) | −0.450153 | + | 0.619582i | −0.0250472 | + | 0.0344745i | ||||
\(324\) | −10.8434 | + | 14.3673i | −0.602413 | + | 0.798185i | ||||
\(325\) | 8.43679 | + | 9.64189i | 0.467989 | + | 0.534836i | ||||
\(326\) | −1.95000 | − | 0.408181i | −0.108001 | − | 0.0226070i | ||||
\(327\) | −17.0115 | + | 9.10260i | −0.940738 | + | 0.503375i | ||||
\(328\) | −11.8625 | − | 3.73294i | −0.654998 | − | 0.206117i | ||||
\(329\) | −4.55297 | + | 1.47935i | −0.251013 | + | 0.0815591i | ||||
\(330\) | 0.107987 | − | 0.00173627i | 0.00594451 | − | 9.55785e-5i | ||||
\(331\) | 4.95255 | + | 1.60918i | 0.272217 | + | 0.0884485i | 0.441944 | − | 0.897042i | \(-0.354289\pi\) |
−0.169728 | + | 0.985491i | \(0.554289\pi\) | |||||||
\(332\) | −9.30269 | + | 21.2472i | −0.510551 | + | 1.16609i | ||||
\(333\) | 3.58916 | + | 9.70215i | 0.196685 | + | 0.531675i | ||||
\(334\) | 0.137853 | + | 0.307062i | 0.00754299 | + | 0.0168017i | ||||
\(335\) | 28.8472 | + | 7.94954i | 1.57609 | + | 0.434330i | ||||
\(336\) | −5.91324 | − | 2.05226i | −0.322594 | − | 0.111960i | ||||
\(337\) | 1.67846 | + | 2.31020i | 0.0914314 | + | 0.125845i | 0.852282 | − | 0.523082i | \(-0.175218\pi\) |
−0.760851 | + | 0.648927i | \(0.775218\pi\) | |||||||
\(338\) | −8.30114 | + | 3.72674i | −0.451522 | + | 0.202708i | ||||
\(339\) | 3.69272 | − | 1.97592i | 0.200561 | − | 0.107317i | ||||
\(340\) | −0.202285 | + | 0.525541i | −0.0109704 | + | 0.0285015i | ||||
\(341\) | 0.0217343 | + | 0.0299148i | 0.00117698 | + | 0.00161997i | ||||
\(342\) | −3.80451 | − | 25.5219i | −0.205724 | − | 1.38007i | ||||
\(343\) | −11.9108 | −0.643124 | ||||||||
\(344\) | 16.2625 | − | 12.0477i | 0.876816 | − | 0.649569i | ||||
\(345\) | −21.5285 | − | 18.8841i | −1.15906 | − | 1.01669i | ||||
\(346\) | 0.334888 | + | 3.09408i | 0.0180037 | + | 0.166339i | ||||
\(347\) | −8.19771 | + | 2.66360i | −0.440076 | + | 0.142989i | −0.520671 | − | 0.853757i | \(-0.674318\pi\) |
0.0805945 | + | 0.996747i | \(0.474318\pi\) | |||||||
\(348\) | −1.92939 | − | 24.4862i | −0.103426 | − | 1.31260i | ||||
\(349\) | −33.7741 | −1.80789 | −0.903944 | − | 0.427652i | \(-0.859341\pi\) | ||||
−0.903944 | + | 0.427652i | \(0.859341\pi\) | |||||||
\(350\) | 4.69968 | + | 4.32707i | 0.251209 | + | 0.231292i | ||||
\(351\) | −2.87086 | − | 13.0014i | −0.153235 | − | 0.693961i | ||||
\(352\) | 0.00994116 | − | 0.111099i | 0.000529866 | − | 0.00592162i | ||||
\(353\) | 3.85991 | + | 11.8796i | 0.205442 | + | 0.632287i | 0.999695 | + | 0.0246990i | \(0.00786273\pi\) |
−0.794252 | + | 0.607588i | \(0.792137\pi\) | |||||||
\(354\) | 34.4739 | + | 12.3245i | 1.83227 | + | 0.655039i | ||||
\(355\) | 24.3647 | − | 9.15480i | 1.29315 | − | 0.485887i | ||||
\(356\) | −14.8582 | − | 13.2127i | −0.787483 | − | 0.700273i | ||||
\(357\) | −0.0859107 | + | 0.177324i | −0.00454688 | + | 0.00938501i | ||||
\(358\) | 6.79830 | − | 11.8596i | 0.359301 | − | 0.626801i | ||||
\(359\) | 16.0992 | − | 11.6967i | 0.849681 | − | 0.617329i | −0.0753771 | − | 0.997155i | \(-0.524016\pi\) |
0.925058 | + | 0.379826i | \(0.124016\pi\) | |||||||
\(360\) | −7.54339 | − | 17.4097i | −0.397572 | − | 0.917571i | ||||
\(361\) | 14.5552 | + | 10.5750i | 0.766064 | + | 0.556578i | ||||
\(362\) | 8.12402 | − | 3.64722i | 0.426989 | − | 0.191694i | ||||
\(363\) | −3.35763 | − | 18.7537i | −0.176230 | − | 0.984313i | ||||
\(364\) | 3.99524 | − | 2.33975i | 0.209408 | − | 0.122636i | ||||
\(365\) | 10.0725 | + | 6.64333i | 0.527220 | + | 0.347728i | ||||
\(366\) | 0.488039 | − | 16.7188i | 0.0255102 | − | 0.873907i | ||||
\(367\) | −1.36020 | + | 4.18628i | −0.0710021 | + | 0.218522i | −0.980261 | − | 0.197710i | \(-0.936650\pi\) |
0.909258 | + | 0.416232i | \(0.136650\pi\) | |||||||
\(368\) | −21.7328 | + | 20.0611i | −1.13290 | + | 1.04576i | ||||
\(369\) | −4.57647 | − | 12.3710i | −0.238242 | − | 0.644009i | ||||
\(370\) | −10.7632 | − | 1.74893i | −0.559550 | − | 0.0909225i | ||||
\(371\) | 0.0656155 | + | 0.201944i | 0.00340659 | + | 0.0104844i | ||||
\(372\) | 3.39367 | − | 5.53912i | 0.175953 | − | 0.287190i | ||||
\(373\) | −14.4746 | + | 19.9225i | −0.749465 | + | 1.03155i | 0.248553 | + | 0.968618i | \(0.420045\pi\) |
−0.998018 | + | 0.0629317i | \(0.979955\pi\) | |||||||
\(374\) | −0.00343687 | 0.000719417i | −0.000177716 | 3.72002e-5i | ||||||
\(375\) | −0.0236002 | + | 19.3649i | −0.00121871 | + | 0.999999i | ||||
\(376\) | −8.69650 | + | 12.2065i | −0.448488 | + | 0.629502i | ||||
\(377\) | 14.6986 | + | 10.6792i | 0.757017 | + | 0.550005i | ||||
\(378\) | −2.12075 | − | 6.29109i | −0.109080 | − | 0.323579i | ||||
\(379\) | −10.0824 | + | 3.27597i | −0.517898 | + | 0.168275i | −0.556291 | − | 0.830987i | \(-0.687776\pi\) |
0.0383930 | + | 0.999263i | \(0.487776\pi\) | |||||||
\(380\) | 25.3843 | + | 9.77059i | 1.30218 | + | 0.501221i | ||||
\(381\) | −16.3558 | − | 15.7117i | −0.837932 | − | 0.804936i | ||||
\(382\) | −25.8841 | − | 5.41815i | −1.32435 | − | 0.277217i | ||||
\(383\) | 11.6263 | + | 3.77762i | 0.594077 | + | 0.193027i | 0.590597 | − | 0.806967i | \(-0.298892\pi\) |
0.00347997 | + | 0.999994i | \(0.498892\pi\) | |||||||
\(384\) | −18.7000 | + | 5.85740i | −0.954281 | + | 0.298909i | ||||
\(385\) | −0.0219319 | + | 0.0332528i | −0.00111775 | + | 0.00169472i | ||||
\(386\) | −20.4825 | + | 18.5576i | −1.04253 | + | 0.944559i | ||||
\(387\) | 20.6659 | + | 5.80847i | 1.05051 | + | 0.295261i | ||||
\(388\) | 5.53983 | + | 25.2919i | 0.281242 | + | 1.28400i | ||||
\(389\) | −5.49021 | + | 7.55662i | −0.278365 | + | 0.383136i | −0.925191 | − | 0.379501i | \(-0.876096\pi\) |
0.646827 | + | 0.762637i | \(0.276096\pi\) | |||||||
\(390\) | 13.4158 | + | 4.12183i | 0.679338 | + | 0.208717i | ||||
\(391\) | 0.547261 | + | 0.753241i | 0.0276762 | + | 0.0380930i | ||||
\(392\) | −14.0539 | + | 10.4116i | −0.709831 | + | 0.525863i | ||||
\(393\) | −14.0688 | + | 29.0388i | −0.709677 | + | 1.46481i | ||||
\(394\) | 3.16351 | − | 5.51874i | 0.159375 | − | 0.278030i | ||||
\(395\) | 0.485345 | + | 1.29171i | 0.0244204 | + | 0.0649928i | ||||
\(396\) | 0.0996079 | − | 0.0638389i | 0.00500549 | − | 0.00320803i | ||||
\(397\) | −22.3012 | + | 7.24611i | −1.11927 | + | 0.363672i | −0.809488 | − | 0.587136i | \(-0.800255\pi\) |
−0.309779 | + | 0.950808i | \(0.600255\pi\) | |||||||
\(398\) | 19.9558 | − | 18.0804i | 1.00029 | − | 0.906289i | ||||
\(399\) | 8.56498 | + | 4.14959i | 0.428786 | + | 0.207739i | ||||
\(400\) | 19.8866 | + | 2.12673i | 0.994330 | + | 0.106337i | ||||
\(401\) | − | 16.8545i | − | 0.841674i | −0.907136 | − | 0.420837i | \(-0.861736\pi\) | ||
0.907136 | − | 0.420837i | \(-0.138264\pi\) | |||||||
\(402\) | 31.4565 | − | 9.21518i | 1.56891 | − | 0.459611i | ||||
\(403\) | 1.48486 | + | 4.56994i | 0.0739662 | + | 0.227645i | ||||
\(404\) | 7.92717 | + | 0.783591i | 0.394391 | + | 0.0389851i | ||||
\(405\) | 9.69647 | − | 17.6346i | 0.481821 | − | 0.876269i | ||||
\(406\) | 7.85950 | + | 4.50530i | 0.390060 | + | 0.223594i | ||||
\(407\) | − | 0.0679935i | − | 0.00337031i | ||||||
\(408\) | 0.114350 | + | 0.606184i | 0.00566116 | + | 0.0300106i | ||||
\(409\) | −0.595598 | + | 0.432727i | −0.0294504 | + | 0.0213970i | −0.602413 | − | 0.798184i | \(-0.705794\pi\) |
0.572963 | + | 0.819581i | \(0.305794\pi\) | |||||||
\(410\) | 13.7239 | + | 2.23002i | 0.677774 | + | 0.110133i | ||||
\(411\) | −29.9041 | + | 16.0013i | −1.47506 | + | 0.789284i | ||||
\(412\) | 6.18575 | − | 1.35490i | 0.304750 | − | 0.0667511i | ||||
\(413\) | −10.9243 | + | 7.93693i | −0.537547 | + | 0.390551i | ||||
\(414\) | −30.9383 | − | 5.18920i | −1.52053 | − | 0.255035i | ||||
\(415\) | 6.88943 | − | 25.0003i | 0.338189 | − | 1.22722i | ||||
\(416\) | 5.69001 | − | 13.3315i | 0.278976 | − | 0.653632i | ||||
\(417\) | 10.4444 | − | 10.8725i | 0.511464 | − | 0.532430i | ||||
\(418\) | −0.0347487 | + | 0.166005i | −0.00169961 | + | 0.00811956i | ||||
\(419\) | 3.53463 | − | 10.8785i | 0.172678 | − | 0.531449i | −0.826842 | − | 0.562435i | \(-0.809865\pi\) |
0.999520 | + | 0.0309860i | \(0.00986473\pi\) | |||||||
\(420\) | 6.87176 | + | 1.32348i | 0.335308 | + | 0.0645791i | ||||
\(421\) | 8.05515 | + | 24.7912i | 0.392584 | + | 1.20825i | 0.930827 | + | 0.365460i | \(0.119088\pi\) |
−0.538243 | + | 0.842789i | \(0.680912\pi\) | |||||||
\(422\) | 15.2269 | − | 1.64809i | 0.741236 | − | 0.0802277i | ||||
\(423\) | −15.8839 | + | 0.638295i | −0.772302 | + | 0.0310349i | ||||
\(424\) | 0.541411 | + | 0.385728i | 0.0262932 | + | 0.0187326i | ||||
\(425\) | 0.139632 | − | 0.613916i | 0.00677314 | − | 0.0297793i | ||||
\(426\) | 17.4249 | − | 22.5680i | 0.844241 | − | 1.09342i | ||||
\(427\) | 4.99085 | + | 3.62606i | 0.241524 | + | 0.175477i | ||||
\(428\) | 17.1828 | + | 1.69850i | 0.830561 | + | 0.0821000i | ||||
\(429\) | −0.0119517 | + | 0.0866932i | −0.000577032 | + | 0.00418559i | ||||
\(430\) | −16.0643 | + | 15.9361i | −0.774688 | + | 0.768508i | ||||
\(431\) | 4.88985 | − | 15.0494i | 0.235536 | − | 0.724905i | −0.761514 | − | 0.648149i | \(-0.775544\pi\) |
0.997050 | − | 0.0767566i | \(-0.0244564\pi\) | |||||||
\(432\) | −17.0592 | − | 11.8736i | −0.820763 | − | 0.571269i | ||||
\(433\) | −16.6030 | − | 5.39465i | −0.797891 | − | 0.259251i | −0.118430 | − | 0.992962i | \(-0.537786\pi\) |
−0.679461 | + | 0.733712i | \(0.737786\pi\) | |||||||
\(434\) | 0.981287 | + | 2.18577i | 0.0471033 | + | 0.104920i | ||||
\(435\) | 6.05772 | + | 26.7848i | 0.290446 | + | 1.28423i | ||||
\(436\) | −11.2585 | − | 19.2244i | −0.539183 | − | 0.920682i | ||||
\(437\) | 36.3824 | − | 26.4334i | 1.74041 | − | 1.26448i | ||||
\(438\) | 13.2121 | + | 0.385673i | 0.631297 | + | 0.0184282i | ||||
\(439\) | −13.5607 | + | 18.6647i | −0.647217 | + | 0.890817i | −0.998975 | − | 0.0452738i | \(-0.985584\pi\) |
0.351758 | + | 0.936091i | \(0.385584\pi\) | |||||||
\(440\) | 0.00679905 | + | 0.124524i | 0.000324132 | + | 0.00593644i | ||||
\(441\) | −17.8593 | − | 5.01964i | −0.850445 | − | 0.239030i | ||||
\(442\) | −0.395872 | − | 0.226926i | −0.0188297 | − | 0.0107938i | ||||
\(443\) | − | 1.64428i | − | 0.0781221i | −0.999237 | − | 0.0390611i | \(-0.987563\pi\) | ||
0.999237 | − | 0.0390611i | \(-0.0124367\pi\) | |||||||
\(444\) | −11.0354 | + | 4.57221i | −0.523717 | + | 0.216988i | ||||
\(445\) | 18.5573 | + | 12.2395i | 0.879701 | + | 0.580206i | ||||
\(446\) | 2.68601 | + | 24.8165i | 0.127186 | + | 1.17510i | ||||
\(447\) | 4.75441 | − | 34.4869i | 0.224876 | − | 1.63117i | ||||
\(448\) | 2.10539 | − | 6.91411i | 0.0994704 | − | 0.326661i | ||||
\(449\) | 2.49959i | 0.117963i | 0.998259 | + | 0.0589815i | \(0.0187853\pi\) | ||||
−0.998259 | + | 0.0589815i | \(0.981215\pi\) | |||||||
\(450\) | 11.1359 | + | 18.0552i | 0.524951 | + | 0.851133i | ||||
\(451\) | 0.0866971i | 0.00408241i | ||||||||
\(452\) | 2.44390 | + | 4.17309i | 0.114952 | + | 0.196285i | ||||
\(453\) | 1.60715 | − | 11.6577i | 0.0755107 | − | 0.547729i | ||||
\(454\) | 3.80837 | − | 0.412199i | 0.178736 | − | 0.0193455i | ||||
\(455\) | −4.04587 | + | 3.22899i | −0.189674 | + | 0.151377i | ||||
\(456\) | 29.2794 | − | 5.52323i | 1.37113 | − | 0.258649i | ||||
\(457\) | − | 18.0114i | − | 0.842540i | −0.906935 | − | 0.421270i | \(-0.861585\pi\) | ||
0.906935 | − | 0.421270i | \(-0.138415\pi\) | |||||||
\(458\) | 6.71668 | − | 11.7172i | 0.313850 | − | 0.547511i | ||||
\(459\) | −0.433961 | + | 0.489673i | −0.0202556 | + | 0.0228560i | ||||
\(460\) | 20.8333 | − | 25.6792i | 0.971358 | − | 1.19730i | ||||
\(461\) | −5.38319 | + | 7.40933i | −0.250720 | + | 0.345087i | −0.915763 | − | 0.401718i | \(-0.868413\pi\) |
0.665043 | + | 0.746805i | \(0.268413\pi\) | |||||||
\(462\) | −0.00127324 | + | 0.0436175i | −5.92363e−5 | + | 0.00202927i | ||||
\(463\) | −24.9238 | + | 18.1082i | −1.15831 | + | 0.841560i | −0.989563 | − | 0.144099i | \(-0.953971\pi\) |
−0.168745 | + | 0.985660i | \(0.553971\pi\) | |||||||
\(464\) | 28.1676 | − | 3.31364i | 1.30765 | − | 0.153832i | ||||
\(465\) | −2.86768 | + | 6.67270i | −0.132985 | + | 0.309439i | ||||
\(466\) | −32.6661 | + | 14.6652i | −1.51323 | + | 0.679354i | ||||
\(467\) | 29.8438 | + | 9.69684i | 1.38101 | + | 0.448716i | 0.903000 | − | 0.429640i | \(-0.141360\pi\) |
0.478006 | + | 0.878356i | \(0.341360\pi\) | |||||||
\(468\) | 14.8741 | − | 3.88991i | 0.687554 | − | 0.179811i | ||||
\(469\) | −3.73592 | + | 11.4980i | −0.172509 | + | 0.530927i | ||||
\(470\) | 7.66708 | − | 14.8997i | 0.353656 | − | 0.687271i | ||||
\(471\) | 3.94337 | − | 28.6039i | 0.181701 | − | 1.31800i | ||||
\(472\) | −12.6896 | + | 40.3249i | −0.584086 | + | 1.85611i | ||||
\(473\) | −0.114148 | − | 0.0829337i | −0.00524855 | − | 0.00381329i | ||||
\(474\) | 1.19645 | + | 0.923789i | 0.0549547 | + | 0.0424310i | ||||
\(475\) | −29.6529 | − | 6.74438i | −1.36057 | − | 0.309454i | ||||
\(476\) | −0.208420 | − | 0.0912529i | −0.00955294 | − | 0.00418257i | ||||
\(477\) | 0.0283111 | + | 0.704521i | 0.00129628 | + | 0.0322578i | ||||
\(478\) | −0.475949 | − | 4.39737i | −0.0217694 | − | 0.201131i | ||||
\(479\) | 6.50371 | + | 20.0164i | 0.297162 | + | 0.914571i | 0.982487 | + | 0.186333i | \(0.0596605\pi\) |
−0.685324 | + | 0.728238i | \(0.740340\pi\) | |||||||
\(480\) | 19.7531 | − | 9.47707i | 0.901602 | − | 0.432567i | ||||
\(481\) | 2.73040 | − | 8.40329i | 0.124495 | − | 0.383157i | ||||
\(482\) | −27.7313 | − | 5.80481i | −1.26313 | − | 0.264402i | ||||
\(483\) | 8.01554 | − | 8.34411i | 0.364720 | − | 0.379670i | ||||
\(484\) | 21.4898 | − | 4.70703i | 0.976807 | − | 0.213956i | ||||
\(485\) | −10.1817 | − | 27.0979i | −0.462329 | − | 1.23045i | ||||
\(486\) | −1.12700 | − | 22.0166i | −0.0511218 | − | 0.998692i | ||||
\(487\) | 0.303633 | − | 0.220602i | 0.0137589 | − | 0.00999644i | −0.580885 | − | 0.813986i | \(-0.697293\pi\) |
0.594643 | + | 0.803990i | \(0.297293\pi\) | |||||||
\(488\) | 19.3126 | − | 0.179352i | 0.874242 | − | 0.00811890i | ||||
\(489\) | 2.15139 | − | 1.15118i | 0.0972890 | − | 0.0520580i | ||||
\(490\) | 13.8826 | − | 13.7719i | 0.627153 | − | 0.622150i | ||||
\(491\) | 24.7225 | − | 17.9619i | 1.11571 | − | 0.810611i | 0.132157 | − | 0.991229i | \(-0.457810\pi\) |
0.983553 | + | 0.180618i | \(0.0578098\pi\) | |||||||
\(492\) | 14.0710 | − | 5.82993i | 0.634370 | − | 0.262834i | ||||
\(493\) | − | 0.892824i | − | 0.0402108i | ||||||
\(494\) | −10.9608 | + | 19.1211i | −0.493149 | + | 0.860299i | ||||
\(495\) | −0.0999883 | + | 0.0865954i | −0.00449414 | + | 0.00389218i | ||||
\(496\) | 6.54200 | + | 3.66978i | 0.293744 | + | 0.164778i | ||||
\(497\) | 3.24966 | + | 10.0014i | 0.145767 | + | 0.448625i | ||||
\(498\) | −7.98630 | − | 27.2616i | −0.357875 | − | 1.22162i | ||||
\(499\) | − | 17.3077i | − | 0.774800i | −0.921912 | − | 0.387400i | \(-0.873373\pi\) | ||
0.921912 | − | 0.387400i | \(-0.126627\pi\) | |||||||
\(500\) | −22.3452 | + | 0.832754i | −0.999306 | + | 0.0372419i | ||||
\(501\) | −0.370986 | − | 0.179736i | −0.0165744 | − | 0.00803003i | ||||
\(502\) | 10.2235 | + | 11.2839i | 0.456296 | + | 0.503624i | ||||
\(503\) | −16.2862 | + | 5.29171i | −0.726167 | + | 0.235946i | −0.648695 | − | 0.761049i | \(-0.724685\pi\) |
−0.0774719 | + | 0.996995i | \(0.524685\pi\) | |||||||
\(504\) | 7.16477 | − | 2.72640i | 0.319144 | − | 0.121444i | ||||
\(505\) | −8.89692 | + | 0.402948i | −0.395908 | + | 0.0179309i | ||||
\(506\) | 0.178884 | + | 0.102542i | 0.00795237 | + | 0.00455854i | ||||
\(507\) | 4.85901 | − | 10.0293i | 0.215796 | − | 0.445415i | ||||
\(508\) | 17.4026 | − | 19.5698i | 0.772114 | − | 0.868269i | ||||
\(509\) | −9.86230 | − | 13.5743i | −0.437139 | − | 0.601670i | 0.532435 | − | 0.846471i | \(-0.321277\pi\) |
−0.969573 | + | 0.244801i | \(0.921277\pi\) | |||||||
\(510\) | −0.223643 | − | 0.652421i | −0.00990306 | − | 0.0288897i | ||||
\(511\) | −2.86550 | + | 3.94402i | −0.126762 | + | 0.174473i | ||||
\(512\) | −7.58900 | − | 21.3168i | −0.335390 | − | 0.942079i | ||||
\(513\) | 23.6518 | + | 20.9608i | 1.04425 | + | 0.925443i | ||||
\(514\) | 9.87009 | + | 10.8938i | 0.435351 | + | 0.480506i | ||||
\(515\) | −6.62744 | + | 2.49019i | −0.292040 | + | 0.109731i | ||||
\(516\) | −5.78431 | + | 24.1033i | −0.254640 | + | 1.06109i | ||||
\(517\) | 0.0993714 | + | 0.0322877i | 0.00437035 | + | 0.00142001i | ||||
\(518\) | 0.902653 | − | 4.31224i | 0.0396603 | − | 0.189469i | ||||
\(519\) | −2.74878 | − | 2.64054i | −0.120658 | − | 0.115907i | ||||
\(520\) | −4.16017 | + | 15.6629i | −0.182436 | + | 0.686862i | ||||
\(521\) | −3.18214 | + | 1.03394i | −0.139412 | + | 0.0452978i | −0.377892 | − | 0.925850i | \(-0.623351\pi\) |
0.238480 | + | 0.971147i | \(0.423351\pi\) | |||||||
\(522\) | 21.0769 | + | 21.4641i | 0.922512 | + | 0.939458i | ||||
\(523\) | 18.8424 | + | 13.6898i | 0.823922 | + | 0.598614i | 0.917833 | − | 0.396966i | \(-0.129937\pi\) |
−0.0939114 | + | 0.995581i | \(0.529937\pi\) | |||||||
\(524\) | −34.1311 | − | 14.9436i | −1.49102 | − | 0.652815i | ||||
\(525\) | −7.81561 | − | 0.363519i | −0.341101 | − | 0.0158653i | ||||
\(526\) | −2.88293 | + | 13.7726i | −0.125702 | + | 0.600514i | ||||
\(527\) | 0.138794 | − | 0.191033i | 0.00604595 | − | 0.00832153i | ||||
\(528\) | 0.0780839 | + | 0.112097i | 0.00339816 | + | 0.00487840i | ||||
\(529\) | −9.78734 | − | 30.1223i | −0.425537 | − | 1.30967i | ||||
\(530\) | −0.660866 | − | 0.340068i | −0.0287062 | − | 0.0147716i | ||||
\(531\) | −42.0535 | + | 15.5571i | −1.82497 | + | 0.675118i | ||||
\(532\) | −4.40762 | + | 10.0670i | −0.191095 | + | 0.436458i | ||||
\(533\) | −3.48147 | + | 10.7149i | −0.150799 | + | 0.464112i | ||||
\(534\) | 24.3415 | + | 0.710552i | 1.05336 | + | 0.0307486i | ||||
\(535\) | −19.2848 | + | 0.873421i | −0.833754 | + | 0.0377613i | ||||
\(536\) | 12.0299 | + | 35.8867i | 0.519611 | + | 1.55007i | ||||
\(537\) | 2.95058 | + | 16.4802i | 0.127327 | + | 0.711171i | ||||
\(538\) | −10.4270 | − | 23.2256i | −0.449538 | − | 1.00133i | ||||
\(539\) | 0.0986463 | + | 0.0716707i | 0.00424900 | + | 0.00308708i | ||||
\(540\) | 20.7782 | + | 10.4051i | 0.894152 | + | 0.447764i | ||||
\(541\) | −18.7572 | + | 13.6279i | −0.806435 | + | 0.585909i | −0.912795 | − | 0.408418i | \(-0.866080\pi\) |
0.106360 | + | 0.994328i | \(0.466080\pi\) | |||||||
\(542\) | −40.0281 | − | 22.9453i | −1.71935 | − | 0.985586i | ||||
\(543\) | −4.75534 | + | 9.81528i | −0.204071 | + | 0.421214i | ||||
\(544\) | −0.694365 | + | 0.158862i | −0.0297706 | + | 0.00681117i | ||||
\(545\) | 15.5373 | + | 19.4680i | 0.665547 | + | 0.833919i | ||||
\(546\) | −1.90889 | + | 5.33954i | −0.0816931 | + | 0.228511i | ||||
\(547\) | −9.29791 | − | 28.6160i | −0.397550 | − | 1.22353i | −0.926958 | − | 0.375166i | \(-0.877586\pi\) |
0.529408 | − | 0.848367i | \(-0.322414\pi\) | |||||||
\(548\) | −19.7910 | − | 33.7942i | −0.845431 | − | 1.44362i | ||||
\(549\) | 12.6965 | + | 16.0759i | 0.541874 | + | 0.686103i | ||||
\(550\) | −0.0274727 | − | 0.136696i | −0.00117144 | − | 0.00582873i | ||||
\(551\) | −43.1245 | −1.83716 | ||||||||
\(552\) | 4.61359 | − | 35.9285i | 0.196367 | − | 1.52922i | ||||
\(553\) | −0.530229 | + | 0.172282i | −0.0225476 | + | 0.00732617i | ||||
\(554\) | −20.8553 | + | 2.25727i | −0.886055 | + | 0.0959021i | ||||
\(555\) | 11.4781 | − | 6.82708i | 0.487219 | − | 0.289794i | ||||
\(556\) | 13.0091 | + | 11.5684i | 0.551707 | + | 0.490609i | ||||
\(557\) | 0.414052 | 0.0175439 | 0.00877197 | − | 0.999962i | \(-0.497208\pi\) | ||||
0.00877197 | + | 0.999962i | \(0.497208\pi\) | |||||||
\(558\) | 1.17303 | + | 7.86907i | 0.0496582 | + | 0.333124i | ||||
\(559\) | −10.7772 | − | 14.8336i | −0.455828 | − | 0.627393i | ||||
\(560\) | −1.22192 | + | 7.98773i | −0.0516355 | + | 0.337543i | ||||
\(561\) | 0.00379181 | − | 0.00202894i | 0.000160090 | − | 8.56621e-5i | ||||
\(562\) | −1.92582 | − | 4.28968i | −0.0812359 | − | 0.180949i | ||||
\(563\) | −9.46697 | − | 13.0302i | −0.398985 | − | 0.549156i | 0.561504 | − | 0.827474i | \(-0.310223\pi\) |
−0.960489 | + | 0.278318i | \(0.910223\pi\) | |||||||
\(564\) | −1.44189 | − | 18.2992i | −0.0607145 | − | 0.770537i | ||||
\(565\) | −3.37273 | − | 4.22597i | −0.141892 | − | 0.177788i | ||||
\(566\) | −2.11731 | + | 0.950549i | −0.0889970 | + | 0.0399546i | ||||
\(567\) | 6.94040 | + | 4.23604i | 0.291469 | + | 0.177897i | ||||
\(568\) | 26.8138 | + | 19.1035i | 1.12508 | + | 0.801563i | ||||
\(569\) | 1.80110 | + | 0.585212i | 0.0755060 | + | 0.0245334i | 0.346526 | − | 0.938040i | \(-0.387361\pi\) |
−0.271020 | + | 0.962574i | \(0.587361\pi\) | |||||||
\(570\) | −31.5127 | + | 10.8022i | −1.31992 | + | 0.452454i | ||||
\(571\) | −10.6321 | + | 3.45456i | −0.444938 | + | 0.144569i | −0.522913 | − | 0.852386i | \(-0.675155\pi\) |
0.0779750 | + | 0.996955i | \(0.475155\pi\) | |||||||
\(572\) | −0.100561 | − | 0.00994038i | −0.00420468 | − | 0.000415628i | ||||
\(573\) | 28.5573 | − | 15.2806i | 1.19300 | − | 0.638357i | ||||
\(574\) | −1.15095 | + | 5.49845i | −0.0480399 | + | 0.229501i | ||||
\(575\) | −18.9380 | + | 31.7516i | −0.789769 | + | 1.32413i | ||||
\(576\) | 12.9427 | − | 20.2110i | 0.539280 | − | 0.842126i | ||||
\(577\) | 1.14715 | − | 1.57892i | 0.0477566 | − | 0.0657313i | −0.784471 | − | 0.620166i | \(-0.787065\pi\) |
0.832227 | + | 0.554434i | \(0.187065\pi\) | |||||||
\(578\) | −2.58462 | − | 23.8797i | −0.107506 | − | 0.993266i | ||||
\(579\) | 4.62300 | − | 33.5337i | 0.192125 | − | 1.39361i | ||||
\(580\) | −30.6365 | + | 8.17918i | −1.27211 | + | 0.339622i | ||||
\(581\) | 9.96467 | + | 3.23772i | 0.413404 | + | 0.134323i | ||||
\(582\) | −25.0995 | − | 19.3796i | −1.04041 | − | 0.803309i | ||||
\(583\) | 0.00143210 | − | 0.00440755i | 5.93116e−5 | − | 0.000182542i | ||||
\(584\) | 0.141733 | + | 15.2618i | 0.00586497 | + | 0.631539i | ||||
\(585\) | −15.8349 | + | 6.68710i | −0.654693 | + | 0.276478i | ||||
\(586\) | −15.7455 | − | 17.3787i | −0.650441 | − | 0.717907i | ||||
\(587\) | 9.14257 | + | 12.5837i | 0.377354 | + | 0.519384i | 0.954881 | − | 0.296988i | \(-0.0959822\pi\) |
−0.577527 | + | 0.816372i | \(0.695982\pi\) | |||||||
\(588\) | 4.99876 | − | 20.8299i | 0.206146 | − | 0.859009i | ||||
\(589\) | −9.22713 | − | 6.70390i | −0.380197 | − | 0.276229i | ||||
\(590\) | 7.58064 | − | 46.6524i | 0.312090 | − | 1.92065i | ||||
\(591\) | 1.37302 | + | 7.66885i | 0.0564784 | + | 0.315454i | ||||
\(592\) | −5.76571 | − | 12.5301i | −0.236969 | − | 0.514984i | ||||
\(593\) | 23.6667 | 0.971874 | 0.485937 | − | 0.873994i | \(-0.338478\pi\) | ||||
0.485937 | + | 0.873994i | \(0.338478\pi\) | |||||||
\(594\) | −0.0432604 | + | 0.138290i | −0.00177499 | + | 0.00567413i | ||||
\(595\) | 0.245236 | + | 0.0675805i | 0.0100537 | + | 0.00277053i | ||||
\(596\) | 40.0037 | + | 3.95432i | 1.63861 | + | 0.161975i | ||||
\(597\) | −4.50411 | + | 32.6713i | −0.184341 | + | 1.33715i | ||||
\(598\) | 17.9905 | + | 19.8565i | 0.735686 | + | 0.811993i | ||||
\(599\) | 6.90906 | 0.282297 | 0.141148 | − | 0.989988i | \(-0.454921\pi\) | ||||
0.141148 | + | 0.989988i | \(0.454921\pi\) | |||||||
\(600\) | −20.3384 | + | 13.6509i | −0.830313 | + | 0.557297i | ||||
\(601\) | 12.8685 | 0.524917 | 0.262459 | − | 0.964943i | \(-0.415467\pi\) | ||||
0.262459 | + | 0.964943i | \(0.415467\pi\) | |||||||
\(602\) | −6.13846 | − | 6.77516i | −0.250185 | − | 0.276135i | ||||
\(603\) | −22.2737 | + | 33.3995i | −0.907055 | + | 1.36013i | ||||
\(604\) | 13.5226 | + | 1.33669i | 0.550227 | + | 0.0543893i | ||||
\(605\) | −23.0242 | + | 8.65112i | −0.936068 | + | 0.351718i | ||||
\(606\) | −8.05680 | + | 5.50174i | −0.327285 | + | 0.223493i | ||||
\(607\) | 23.5971 | 0.957779 | 0.478889 | − | 0.877875i | \(-0.341039\pi\) | ||||
0.478889 | + | 0.877875i | \(0.341039\pi\) | |||||||
\(608\) | 7.67324 | + | 33.5386i | 0.311191 | + | 1.36017i | ||||
\(609\) | −10.9216 | + | 1.95538i | −0.442565 | + | 0.0792360i | ||||
\(610\) | −21.3406 | + | 3.29247i | −0.864056 | + | 0.133308i | ||||
\(611\) | 10.9847 | + | 7.98086i | 0.444394 | + | 0.322871i | ||||
\(612\) | −0.584279 | − | 0.478978i | −0.0236181 | − | 0.0193615i | ||||
\(613\) | −17.5398 | − | 24.1415i | −0.708427 | − | 0.975066i | −0.999829 | − | 0.0184656i | \(-0.994122\pi\) |
0.291403 | − | 0.956601i | \(-0.405878\pi\) | |||||||
\(614\) | −20.3217 | − | 22.4296i | −0.820119 | − | 0.905184i | ||||
\(615\) | −14.6355 | + | 8.70507i | −0.590161 | + | 0.351022i | ||||
\(616\) | −0.0503844 | 0.000467910i | −0.00203005 | 1.88526e-5i | ||||||
\(617\) | 6.53889 | − | 20.1246i | 0.263246 | − | 0.810187i | −0.728847 | − | 0.684677i | \(-0.759943\pi\) |
0.992092 | − | 0.125510i | \(-0.0400568\pi\) | |||||||
\(618\) | −4.73974 | + | 6.13870i | −0.190660 | + | 0.246935i | ||||
\(619\) | −19.8653 | − | 6.45463i | −0.798455 | − | 0.259434i | −0.118754 | − | 0.992924i | \(-0.537890\pi\) |
−0.679700 | + | 0.733490i | \(0.737890\pi\) | |||||||
\(620\) | −7.82662 | − | 3.01253i | −0.314325 | − | 0.120986i | ||||
\(621\) | 33.1209 | − | 19.4722i | 1.32909 | − | 0.781391i | ||||
\(622\) | 3.08113 | + | 28.4670i | 0.123542 | + | 1.14142i | ||||
\(623\) | −5.27930 | + | 7.26634i | −0.211511 | + | 0.291120i | ||||
\(624\) | 5.14891 | + | 16.9896i | 0.206121 | + | 0.680130i | ||||
\(625\) | 24.5914 | − | 4.50129i | 0.983657 | − | 0.180052i | ||||
\(626\) | −7.49678 | + | 35.8143i | −0.299632 | + | 1.43143i | ||||
\(627\) | −0.0980004 | − | 0.183149i | −0.00391376 | − | 0.00731427i | ||||
\(628\) | 33.1796 | + | 3.27976i | 1.32401 | + | 0.130877i | ||||
\(629\) | −0.412949 | + | 0.134175i | −0.0164654 | + | 0.00534992i | ||||
\(630\) | −7.49100 | + | 4.16460i | −0.298449 | + | 0.165922i | ||||
\(631\) | −34.1089 | − | 11.0827i | −1.35786 | − | 0.441194i | −0.462529 | − | 0.886604i | \(-0.653058\pi\) |
−0.895327 | + | 0.445410i | \(0.853058\pi\) | |||||||
\(632\) | −1.01278 | + | 1.42154i | −0.0402861 | + | 0.0565460i | ||||
\(633\) | −12.9949 | + | 13.5276i | −0.516502 | + | 0.537674i | ||||
\(634\) | 14.1045 | − | 6.33211i | 0.560160 | − | 0.251480i | ||||
\(635\) | −16.1206 | + | 24.4419i | −0.639728 | + | 0.969948i | ||||
\(636\) | −0.811651 | + | 0.0639541i | −0.0321841 | + | 0.00253594i | ||||
\(637\) | 9.31360 | + | 12.8191i | 0.369018 | + | 0.507910i | ||||
\(638\) | −0.0809801 | − | 0.180379i | −0.00320603 | − | 0.00714129i | ||||
\(639\) | 1.40213 | + | 34.8919i | 0.0554675 | + | 1.38030i | ||||
\(640\) | 11.8123 | + | 22.3712i | 0.466922 | + | 0.884298i | ||||
\(641\) | 6.26340 | + | 8.62083i | 0.247390 | + | 0.340502i | 0.914595 | − | 0.404371i | \(-0.132510\pi\) |
−0.667205 | + | 0.744874i | \(0.732510\pi\) | |||||||
\(642\) | −17.4638 | + | 11.9255i | −0.689239 | + | 0.470660i | ||||
\(643\) | 13.7687 | 0.542983 | 0.271491 | − | 0.962441i | \(-0.412483\pi\) | ||||
0.271491 | + | 0.962441i | \(0.412483\pi\) | |||||||
\(644\) | 9.98379 | + | 8.87814i | 0.393416 | + | 0.349848i | ||||
\(645\) | 2.53881 | − | 27.5968i | 0.0999656 | − | 1.08662i | ||||
\(646\) | 1.07678 | − | 0.116545i | 0.0423653 | − | 0.00458541i | ||||
\(647\) | −14.0477 | + | 4.56436i | −0.552270 | + | 0.179444i | −0.571840 | − | 0.820365i | \(-0.693770\pi\) |
0.0195699 | + | 0.999808i | \(0.493770\pi\) | |||||||
\(648\) | 25.3537 | − | 2.27813i | 0.995987 | − | 0.0894934i | ||||
\(649\) | 0.294714 | 0.0115685 | ||||||||
\(650\) | 2.09391 | − | 17.9974i | 0.0821300 | − | 0.705916i | ||||
\(651\) | −2.64081 | − | 1.27943i | −0.103501 | − | 0.0501447i | ||||
\(652\) | 1.42382 | + | 2.43125i | 0.0557612 | + | 0.0952149i | ||||
\(653\) | 10.7453 | + | 33.0705i | 0.420494 | + | 1.29415i | 0.907243 | + | 0.420607i | \(0.138183\pi\) |
−0.486749 | + | 0.873542i | \(0.661817\pi\) | |||||||
\(654\) | 25.6929 | + | 9.18526i | 1.00467 | + | 0.359172i | ||||
\(655\) | 40.1600 | + | 11.0670i | 1.56918 | + | 0.432425i | ||||
\(656\) | 7.35173 | + | 15.9769i | 0.287037 | + | 0.623792i | ||||
\(657\) | −12.7040 | + | 10.0334i | −0.495630 | + | 0.391442i | ||||
\(658\) | 5.87364 | + | 3.36695i | 0.228978 | + | 0.131257i | ||||
\(659\) | 26.5251 | − | 19.2716i | 1.03327 | − | 0.750717i | 0.0643116 | − | 0.997930i | \(-0.479515\pi\) |
0.968961 | + | 0.247213i | \(0.0795149\pi\) | |||||||
\(660\) | −0.104358 | − | 0.111525i | −0.00406214 | − | 0.00434112i | ||||
\(661\) | 20.7897 | + | 15.1046i | 0.808626 | + | 0.587501i | 0.913432 | − | 0.406992i | \(-0.133422\pi\) |
−0.104806 | + | 0.994493i | \(0.533422\pi\) | |||||||
\(662\) | −3.01618 | − | 6.71841i | −0.117227 | − | 0.261118i | ||||
\(663\) | 0.550105 | − | 0.0984898i | 0.0213643 | − | 0.00382503i | ||||
\(664\) | 31.1011 | − | 10.4256i | 1.20696 | − | 0.404593i | ||||
\(665\) | 3.26422 | − | 11.8452i | 0.126581 | − | 0.459336i | ||||
\(666\) | 6.76010 | − | 12.9742i | 0.261948 | − | 0.502739i | ||||
\(667\) | −16.2010 | + | 49.8615i | −0.627305 | + | 1.93064i | ||||
\(668\) | 0.190913 | − | 0.436043i | 0.00738664 | − | 0.0168710i | ||||
\(669\) | −22.0470 | − | 21.1788i | −0.852385 | − | 0.818820i | ||||
\(670\) | −19.0603 | − | 37.7812i | −0.736364 | − | 1.45962i | ||||
\(671\) | −0.0416070 | − | 0.128053i | −0.00160622 | − | 0.00494343i | ||||
\(672\) | 3.46403 | + | 8.14597i | 0.133628 | + | 0.314238i | ||||
\(673\) | 6.56396 | − | 9.03451i | 0.253022 | − | 0.348255i | −0.663545 | − | 0.748137i | \(-0.730949\pi\) |
0.916567 | + | 0.399882i | \(0.130949\pi\) | |||||||
\(674\) | 0.827394 | − | 3.95271i | 0.0318700 | − | 0.152253i | ||||
\(675\) | −24.6580 | − | 8.18438i | −0.949086 | − | 0.315017i | ||||
\(676\) | 11.7880 | + | 5.16116i | 0.453385 | + | 0.198506i | ||||
\(677\) | −23.8114 | − | 17.3000i | −0.915145 | − | 0.664891i | 0.0271662 | − | 0.999631i | \(-0.491352\pi\) |
−0.942311 | + | 0.334739i | \(0.891352\pi\) | |||||||
\(678\) | −5.57723 | − | 1.99387i | −0.214192 | − | 0.0765740i | ||||
\(679\) | 11.1233 | − | 3.61419i | 0.426874 | − | 0.138700i | ||||
\(680\) | 0.742861 | − | 0.287023i | 0.0284874 | − | 0.0110068i | ||||
\(681\) | −3.25013 | + | 3.38336i | −0.124545 | + | 0.129650i | ||||
\(682\) | 0.0107139 | − | 0.0511836i | 0.000410257 | − | 0.00195992i | ||||
\(683\) | −39.4244 | − | 12.8098i | −1.50853 | − | 0.490152i | −0.566041 | − | 0.824377i | \(-0.691526\pi\) |
−0.942493 | + | 0.334225i | \(0.891526\pi\) | |||||||
\(684\) | −23.1352 | + | 28.2214i | −0.884597 | + | 1.07907i | ||||
\(685\) | 27.3128 | + | 34.2224i | 1.04357 | + | 1.30757i | ||||
\(686\) | 11.3098 | + | 12.4829i | 0.431811 | + | 0.476600i | ||||
\(687\) | 2.91516 | + | 16.2823i | 0.111220 | + | 0.621208i | ||||
\(688\) | −28.0683 | − | 5.60380i | −1.07009 | − | 0.213643i | ||||
\(689\) | 0.353986 | − | 0.487220i | 0.0134858 | − | 0.0185616i | ||||
\(690\) | 0.651078 | + | 40.4938i | 0.0247861 | + | 1.54157i | ||||
\(691\) | 4.37169 | + | 6.01711i | 0.166307 | + | 0.228902i | 0.884034 | − | 0.467423i | \(-0.154817\pi\) |
−0.717727 | + | 0.696325i | \(0.754817\pi\) | |||||||
\(692\) | 2.92470 | − | 3.28893i | 0.111181 | − | 0.125027i | ||||
\(693\) | −0.0331237 | − | 0.0419401i | −0.00125827 | − | 0.00159317i | ||||
\(694\) | 10.5756 | + | 6.06226i | 0.401445 | + | 0.230120i | ||||
\(695\) | −16.2478 | − | 10.7162i | −0.616315 | − | 0.406490i | ||||
\(696\) | −23.8302 | + | 25.2727i | −0.903283 | + | 0.957960i | ||||
\(697\) | 0.526543 | − | 0.171084i | 0.0199442 | − | 0.00648028i | ||||
\(698\) | 32.0700 | + | 35.3963i | 1.21387 | + | 1.33977i | ||||
\(699\) | 19.1209 | − | 39.4666i | 0.723219 | − | 1.49276i | ||||
\(700\) | 0.0723583 | − | 9.03415i | 0.00273489 | − | 0.341459i | ||||
\(701\) | − | 4.41207i | − | 0.166641i | −0.996523 | − | 0.0833207i | \(-0.973447\pi\) | ||
0.996523 | − | 0.0833207i | \(-0.0265526\pi\) | |||||||
\(702\) | −10.8998 | + | 15.3541i | −0.411387 | + | 0.579503i | ||||
\(703\) | 6.48083 | + | 19.9459i | 0.244429 | + | 0.752275i | ||||
\(704\) | −0.125875 | + | 0.0950749i | −0.00474410 | + | 0.00358327i | ||||
\(705\) | 4.52711 | + | 20.0170i | 0.170501 | + | 0.753885i | ||||
\(706\) | 8.78503 | − | 15.3255i | 0.330629 | − | 0.576782i | ||||
\(707\) | − | 3.59833i | − | 0.135329i | ||||||
\(708\) | −19.8180 | − | 47.8324i | −0.744807 | − | 1.79765i | ||||
\(709\) | 2.55928 | − | 1.85943i | 0.0961158 | − | 0.0698322i | −0.538689 | − | 0.842504i | \(-0.681080\pi\) |
0.634805 | + | 0.772672i | \(0.281080\pi\) | |||||||
\(710\) | −32.7299 | − | 16.8421i | −1.22833 | − | 0.632074i | ||||
\(711\) | −1.84981 | + | 0.0743345i | −0.0693732 | + | 0.00278776i | ||||
\(712\) | 0.261125 | + | 28.1179i | 0.00978608 | + | 1.05376i | ||||
\(713\) | −11.2176 | + | 8.15009i | −0.420104 | + | 0.305223i | ||||
\(714\) | 0.267417 | − | 0.0783400i | 0.0100078 | − | 0.00293180i | ||||
\(715\) | 0.112863 | − | 0.00511166i | 0.00422085 | − | 0.000191165i | ||||
\(716\) | −18.8845 | + | 4.13639i | −0.705748 | + | 0.154584i | ||||
\(717\) | 3.90662 | + | 3.75279i | 0.145896 | + | 0.140150i | ||||
\(718\) | −27.5454 | − | 5.76589i | −1.02798 | − | 0.215181i | ||||
\(719\) | 8.16195 | − | 25.1199i | 0.304389 | − | 0.936814i | −0.675515 | − | 0.737346i | \(-0.736079\pi\) |
0.979904 | − | 0.199468i | \(-0.0639214\pi\) | |||||||
\(720\) | −11.0831 | + | 24.4369i | −0.413044 | + | 0.910711i | ||||
\(721\) | −0.883938 | − | 2.72048i | −0.0329196 | − | 0.101316i | ||||
\(722\) | −2.73788 | − | 25.2957i | −0.101893 | − | 0.941409i | ||||
\(723\) | 30.5953 | − | 16.3711i | 1.13785 | − | 0.608847i | ||||
\(724\) | −11.5365 | − | 5.05103i | −0.428751 | − | 0.187720i | ||||
\(725\) | 32.5888 | − | 13.9584i | 1.21032 | − | 0.518402i | ||||
\(726\) | −16.4662 | + | 21.3263i | −0.611119 | + | 0.791494i | ||||
\(727\) | −30.2425 | − | 21.9725i | −1.12163 | − | 0.814914i | −0.137177 | − | 0.990547i | \(-0.543803\pi\) |
−0.984456 | + | 0.175632i | \(0.943803\pi\) | |||||||
\(728\) | −6.24578 | − | 1.96544i | −0.231484 | − | 0.0728442i | ||||
\(729\) | 18.3807 | + | 19.7775i | 0.680767 | + | 0.732500i | ||||
\(730\) | −2.60188 | − | 16.8644i | −0.0962999 | − | 0.624181i | ||||
\(731\) | −0.278431 | + | 0.856923i | −0.0102981 | + | 0.0316944i | ||||
\(732\) | −17.9853 | + | 15.3638i | −0.664755 | + | 0.567861i | ||||
\(733\) | 15.3496 | + | 4.98739i | 0.566950 | + | 0.184213i | 0.578446 | − | 0.815721i | \(-0.303659\pi\) |
−0.0114958 | + | 0.999934i | \(0.503659\pi\) | |||||||
\(734\) | 5.67892 | − | 2.54951i | 0.209613 | − | 0.0941042i | ||||
\(735\) | −2.19402 | + | 23.8490i | −0.0809277 | + | 0.879684i | ||||
\(736\) | 41.6608 | + | 3.72780i | 1.53564 | + | 0.137409i | ||||
\(737\) | 0.213471 | − | 0.155096i | 0.00786331 | − | 0.00571303i | ||||
\(738\) | −8.61966 | + | 16.5431i | −0.317294 | + | 0.608960i | ||||
\(739\) | 29.9328 | − | 41.1990i | 1.10110 | − | 1.51553i | 0.267174 | − | 0.963648i | \(-0.413910\pi\) |
0.833923 | − | 0.551881i | \(-0.186090\pi\) | |||||||
\(740\) | 8.38714 | + | 12.9408i | 0.308317 | + | 0.475714i | ||||
\(741\) | −4.75718 | − | 26.5707i | −0.174759 | − | 0.976099i | ||||
\(742\) | 0.149339 | − | 0.260521i | 0.00548240 | − | 0.00956404i | ||||
\(743\) | 23.5056i | 0.862336i | 0.902272 | + | 0.431168i | \(0.141898\pi\) | ||||
−0.902272 | + | 0.431168i | \(0.858102\pi\) | |||||||
\(744\) | −9.02760 | + | 1.70296i | −0.330968 | + | 0.0624334i | ||||
\(745\) | −44.8974 | + | 2.03343i | −1.64491 | + | 0.0744993i | ||||
\(746\) | 34.6237 | − | 3.74749i | 1.26766 | − | 0.137205i | ||||
\(747\) | 28.9455 | + | 19.3034i | 1.05906 | + | 0.706275i | ||||
\(748\) | 0.00250948 | + | 0.00428506i | 9.17557e−5 | + | 0.000156677i | ||||
\(749\) | − | 7.79967i | − | 0.284994i | ||||||
\(750\) | 20.3174 | − | 18.3631i | 0.741888 | − | 0.670524i | ||||
\(751\) | − | 30.7299i | − | 1.12135i | −0.828036 | − | 0.560675i | \(-0.810542\pi\) | ||
0.828036 | − | 0.560675i | \(-0.189458\pi\) | |||||||
\(752\) | 21.0505 | − | 2.47638i | 0.767632 | − | 0.0903042i | ||||
\(753\) | −18.4738 | − | 2.54683i | −0.673223 | − | 0.0928115i | ||||
\(754\) | −2.76486 | − | 25.5449i | −0.100690 | − | 0.930292i | ||||
\(755\) | −15.1769 | + | 0.687371i | −0.552343 | + | 0.0250160i | ||||
\(756\) | −4.57952 | + | 8.19627i | −0.166556 | + | 0.298096i | ||||
\(757\) | − | 9.04077i | − | 0.328592i | −0.986411 | − | 0.164296i | \(-0.947465\pi\) | ||
0.986411 | − | 0.164296i | \(-0.0525353\pi\) | |||||||
\(758\) | 13.0070 | + | 7.45600i | 0.472435 | + | 0.270814i | ||||
\(759\) | −0.248578 | + | 0.0445049i | −0.00902280 | + | 0.00161543i | ||||
\(760\) | −13.8635 | − | 35.8811i | −0.502883 | − | 1.30154i | ||||
\(761\) | −6.35636 | + | 8.74878i | −0.230418 | + | 0.317143i | −0.908533 | − | 0.417812i | \(-0.862797\pi\) |
0.678115 | + | 0.734955i | \(0.262797\pi\) | |||||||
\(762\) | −0.935872 | + | 32.0603i | −0.0339030 | + | 1.16142i | ||||
\(763\) | −8.14169 | + | 5.91529i | −0.294749 | + | 0.214148i | ||||
\(764\) | 18.8997 | + | 32.2722i | 0.683767 | + | 1.16757i | ||||
\(765\) | 0.723238 | + | 0.436382i | 0.0261487 | + | 0.0157774i | ||||
\(766\) | −7.08062 | − | 15.7718i | −0.255833 | − | 0.569857i | ||||
\(767\) | 36.4236 | + | 11.8348i | 1.31518 | + | 0.427328i | ||||
\(768\) | 23.8952 | + | 14.0364i | 0.862244 | + | 0.506493i | ||||
\(769\) | −13.3618 | + | 41.1234i | −0.481839 | + | 1.48295i | 0.354668 | + | 0.934992i | \(0.384594\pi\) |
−0.836507 | + | 0.547956i | \(0.815406\pi\) | |||||||
\(770\) | 0.0556752 | − | 0.00858968i | 0.00200639 | − | 0.000309550i | ||||
\(771\) | −17.8352 | − | 2.45879i | −0.642320 | − | 0.0885513i | ||||
\(772\) | 38.8980 | + | 3.84502i | 1.39997 | + | 0.138385i | ||||
\(773\) | −38.2541 | − | 27.7932i | −1.37590 | − | 0.999653i | −0.997250 | − | 0.0741149i | \(-0.976387\pi\) |
−0.378655 | − | 0.925538i | \(-0.623613\pi\) | |||||||
\(774\) | −13.5357 | − | 27.1739i | −0.486531 | − | 0.976746i | ||||
\(775\) | 9.14275 | + | 2.07947i | 0.328417 | + | 0.0746967i | ||||
\(776\) | 21.2464 | − | 29.8216i | 0.762701 | − | 1.07053i | ||||
\(777\) | 2.54572 | + | 4.75759i | 0.0913271 | + | 0.170678i | ||||
\(778\) | 13.1328 | − | 1.42142i | 0.470832 | − | 0.0509605i | ||||
\(779\) | −8.26357 | − | 25.4327i | −0.296073 | − | 0.911220i | ||||
\(780\) | −8.41910 | − | 17.9741i | −0.301452 | − | 0.643575i | ||||
\(781\) | 0.0709259 | − | 0.218288i | 0.00253793 | − | 0.00781094i | ||||
\(782\) | 0.269772 | − | 1.28878i | 0.00964702 | − | 0.0460867i | ||||
\(783\) | −36.6705 | − | 3.56211i | −1.31050 | − | 0.127300i | ||||
\(784\) | 24.2565 | + | 4.84276i | 0.866302 | + | 0.172956i | ||||
\(785\) | −37.2385 | + | 1.68656i | −1.32910 | + | 0.0601959i | ||||
\(786\) | 43.7924 | − | 12.8290i | 1.56202 | − | 0.457595i | ||||
\(787\) | −17.2169 | + | 12.5088i | −0.613716 | + | 0.445891i | −0.850721 | − | 0.525618i | \(-0.823834\pi\) |
0.237005 | + | 0.971508i | \(0.423834\pi\) | |||||||
\(788\) | −8.78770 | + | 1.92482i | −0.313049 | + | 0.0685689i | ||||
\(789\) | −8.13061 | − | 15.1950i | −0.289457 | − | 0.540955i | ||||
\(790\) | 0.892893 | − | 1.73519i | 0.0317677 | − | 0.0617352i | ||||
\(791\) | 1.76734 | − | 1.28404i | 0.0628392 | − | 0.0456554i | ||||
\(792\) | −0.161487 | − | 0.0437744i | −0.00573820 | − | 0.00155546i | ||||
\(793\) | − | 17.4968i | − | 0.621331i | ||||||
\(794\) | 28.7701 | + | 16.4919i | 1.02101 | + | 0.585276i | ||||
\(795\) | 0.887843 | − | 0.200797i | 0.0314885 | − | 0.00712154i | ||||
\(796\) | −37.8977 | − | 3.74614i | −1.34325 | − | 0.132778i | ||||
\(797\) | −11.8944 | − | 36.6073i | −0.421323 | − | 1.29670i | −0.906471 | − | 0.422267i | \(-0.861234\pi\) |
0.485149 | − | 0.874432i | \(-0.338766\pi\) | |||||||
\(798\) | −3.78391 | − | 12.9166i | −0.133949 | − | 0.457242i | ||||
\(799\) | − | 0.667234i | − | 0.0236050i | ||||||
\(800\) | −16.6543 | − | 22.8612i | −0.588818 | − | 0.808266i | ||||
\(801\) | −23.4054 | + | 18.4853i | −0.826990 | + | 0.653145i | ||||
\(802\) | −17.6640 | + | 16.0041i | −0.623739 | + | 0.565123i | ||||
\(803\) | 0.101194 | − | 0.0328800i | 0.00357106 | − | 0.00116031i | ||||
\(804\) | −39.5270 | − | 24.2172i | −1.39401 | − | 0.854073i | ||||
\(805\) | −12.4694 | − | 8.22416i | −0.439487 | − | 0.289863i | ||||
\(806\) | 3.37950 | − | 5.89553i | 0.119038 | − | 0.207661i | ||||
\(807\) | 28.0607 | + | 13.5949i | 0.987783 | + | 0.478564i | ||||
\(808\) | −6.70596 | − | 9.05198i | −0.235915 | − | 0.318447i | ||||
\(809\) | 14.8253 | + | 20.4052i | 0.521229 | + | 0.717410i | 0.985762 | − | 0.168146i | \(-0.0537779\pi\) |
−0.464533 | + | 0.885556i | \(0.653778\pi\) | |||||||
\(810\) | −27.6888 | + | 6.58258i | −0.972885 | + | 0.231288i | ||||
\(811\) | −29.2100 | + | 40.2041i | −1.02570 | + | 1.41176i | −0.117575 | + | 0.993064i | \(0.537512\pi\) |
−0.908127 | + | 0.418694i | \(0.862488\pi\) | |||||||
\(812\) | −2.74123 | − | 12.5150i | −0.0961983 | − | 0.439190i | ||||
\(813\) | 55.6231 | − | 9.95867i | 1.95079 | − | 0.349266i | ||||
\(814\) | −0.0712593 | + | 0.0645627i | −0.00249764 | + | 0.00226292i | ||||
\(815\) | −1.96496 | − | 2.46206i | −0.0688294 | − | 0.0862421i | ||||
\(816\) | 0.526720 | − | 0.695439i | 0.0184389 | − | 0.0243452i | ||||
\(817\) | 41.3904 | + | 13.4486i | 1.44807 | + | 0.470505i | ||||
\(818\) | 1.01906 | + | 0.213312i | 0.0356305 | + | 0.00745830i | ||||
\(819\) | −2.40957 | − | 6.51351i | −0.0841974 | − | 0.227600i | ||||
\(820\) | −10.6943 | − | 16.5006i | −0.373460 | − | 0.576224i | ||||
\(821\) | −45.0060 | + | 14.6233i | −1.57072 | + | 0.510358i | −0.959645 | − | 0.281213i | \(-0.909263\pi\) |
−0.611076 | + | 0.791572i | \(0.709263\pi\) | |||||||
\(822\) | 45.1651 | + | 16.1466i | 1.57531 | + | 0.563177i | ||||
\(823\) | 38.4544 | + | 27.9387i | 1.34043 | + | 0.973883i | 0.999428 | + | 0.0338220i | \(0.0107679\pi\) |
0.341007 | + | 0.940061i | \(0.389232\pi\) | |||||||
\(824\) | −7.29360 | − | 5.19632i | −0.254085 | − | 0.181022i | ||||
\(825\) | 0.133339 | + | 0.106684i | 0.00464227 | + | 0.00371425i | ||||
\(826\) | 18.6912 | + | 3.91250i | 0.650350 | + | 0.136133i | ||||
\(827\) | 9.93542 | − | 13.6749i | 0.345488 | − | 0.475524i | −0.600546 | − | 0.799590i | \(-0.705050\pi\) |
0.946034 | + | 0.324066i | \(0.105050\pi\) | |||||||
\(828\) | 23.9388 | + | 37.3516i | 0.831930 | + | 1.29806i | ||||
\(829\) | −4.90001 | − | 15.0807i | −0.170184 | − | 0.523773i | 0.829197 | − | 0.558957i | \(-0.188798\pi\) |
−0.999381 | + | 0.0351838i | \(0.988798\pi\) | |||||||
\(830\) | −32.7429 | + | 16.5185i | −1.13652 | + | 0.573367i | ||||
\(831\) | 17.7982 | − | 18.5278i | 0.617413 | − | 0.642722i | ||||
\(832\) | −19.3748 | + | 6.69555i | −0.671699 | + | 0.232126i | ||||
\(833\) | 0.240618 | − | 0.740547i | 0.00833693 | − | 0.0256584i | ||||
\(834\) | −21.3121 | − | 0.622122i | −0.737979 | − | 0.0215423i | ||||
\(835\) | −0.141387 | + | 0.513065i | −0.00489291 | + | 0.0177554i | ||||
\(836\) | 0.206974 | − | 0.121211i | 0.00715833 | − | 0.00419217i | ||||
\(837\) | −7.29246 | − | 6.46277i | −0.252064 | − | 0.223386i | ||||
\(838\) | −14.7573 | + | 6.62518i | −0.509782 | + | 0.228863i | ||||
\(839\) | 0.0181263 | + | 0.0131695i | 0.000625789 | + | 0.000454663i | 0.588098 | − | 0.808790i | \(-0.299877\pi\) |
−0.587472 | + | 0.809244i | \(0.699877\pi\) | |||||||
\(840\) | −5.13798 | − | 8.45852i | −0.177277 | − | 0.291847i | ||||
\(841\) | 17.2116 | − | 12.5049i | 0.593502 | − | 0.431204i | ||||
\(842\) | 18.3332 | − | 31.9823i | 0.631805 | − | 1.10218i | ||||
\(843\) | 5.18271 | + | 2.51093i | 0.178502 | + | 0.0864812i | ||||
\(844\) | −16.1859 | − | 14.3934i | −0.557141 | − | 0.495441i | ||||
\(845\) | −13.8702 | − | 3.82228i | −0.477151 | − | 0.131490i | ||||
\(846\) | 15.7514 | + | 16.0407i | 0.541544 | + | 0.551492i | ||||
\(847\) | −3.07087 | − | 9.45116i | −0.105516 | − | 0.324746i | ||||
\(848\) | −0.109838 | − | 0.933680i | −0.00377186 | − | 0.0320627i | ||||
\(849\) | 1.23935 | − | 2.55809i | 0.0425344 | − | 0.0877933i | ||||
\(850\) | −0.775990 | + | 0.436601i | −0.0266162 | + | 0.0149753i | ||||
\(851\) | 25.4967 | 0.874014 | ||||||||
\(852\) | −40.1977 | + | 3.16738i | −1.37715 | + | 0.108513i | ||||
\(853\) | 17.4315 | − | 5.66385i | 0.596845 | − | 0.193927i | 0.00501201 | − | 0.999987i | \(-0.498405\pi\) |
0.591833 | + | 0.806061i | \(0.298405\pi\) | |||||||
\(854\) | −0.938794 | − | 8.67366i | −0.0321249 | − | 0.296807i | ||||
\(855\) | 21.0778 | − | 34.9333i | 0.720844 | − | 1.19469i | ||||
\(856\) | −14.5357 | − | 19.6209i | −0.496820 | − | 0.670628i | ||||
\(857\) | −24.3226 | −0.830845 | −0.415422 | − | 0.909629i | \(-0.636366\pi\) | ||||
−0.415422 | + | 0.909629i | \(0.636366\pi\) | |||||||
\(858\) | 0.102206 | − | 0.0697932i | 0.00348925 | − | 0.00238270i | ||||
\(859\) | 1.21238 | + | 1.66870i | 0.0413659 | + | 0.0569352i | 0.829199 | − | 0.558954i | \(-0.188797\pi\) |
−0.787833 | + | 0.615889i | \(0.788797\pi\) | |||||||
\(860\) | 31.9553 | + | 1.70384i | 1.08967 | + | 0.0581003i | ||||
\(861\) | −3.24599 | − | 6.06630i | −0.110623 | − | 0.206739i | ||||
\(862\) | −20.4154 | + | 9.16534i | −0.695351 | + | 0.312173i | ||||
\(863\) | 24.4611 | + | 33.6678i | 0.832664 | + | 1.14606i | 0.987421 | + | 0.158111i | \(0.0505405\pi\) |
−0.154757 | + | 0.987953i | \(0.549460\pi\) | |||||||
\(864\) | 3.75456 | + | 29.1531i | 0.127733 | + | 0.991809i | ||||
\(865\) | −2.70926 | + | 4.10775i | −0.0921177 | + | 0.139668i | ||||
\(866\) | 10.1115 | + | 22.5230i | 0.343603 | + | 0.765361i | ||||
\(867\) | 21.2147 | + | 20.3794i | 0.720491 | + | 0.692119i | ||||
\(868\) | 1.35898 | − | 3.10390i | 0.0461269 | − | 0.105353i | ||||
\(869\) | 0.0115726 | + | 0.00376016i | 0.000392573 | + | 0.000127555i | ||||
\(870\) | 22.3192 | − | 31.7820i | 0.756692 | − | 1.07751i | ||||
\(871\) | 32.6110 | − | 10.5960i | 1.10498 | − | 0.359030i | ||||
\(872\) | −9.45737 | + | 30.0536i | −0.320267 | + | 1.01774i | ||||
\(873\) | 38.8059 | − | 1.55942i | 1.31338 | − | 0.0527782i | ||||
\(874\) | −62.2496 | − | 13.0303i | −2.10563 | − | 0.440757i | ||||
\(875\) | 1.36727 | + | 10.0078i | 0.0462222 | + | 0.338327i | ||||
\(876\) | −12.1412 | − | 14.2129i | −0.410214 | − | 0.480209i | ||||
\(877\) | −1.99302 | + | 2.74315i | −0.0672994 | + | 0.0926296i | −0.841340 | − | 0.540506i | \(-0.818233\pi\) |
0.774041 | + | 0.633136i | \(0.218233\pi\) | |||||||
\(878\) | 32.4376 | − | 3.51089i | 1.09472 | − | 0.118487i | ||||
\(879\) | 28.4521 | + | 3.92246i | 0.959667 | + | 0.132301i | ||||
\(880\) | 0.124049 | − | 0.125366i | 0.00418168 | − | 0.00422609i | ||||
\(881\) | 24.1860 | + | 7.85851i | 0.814847 | + | 0.264760i | 0.686649 | − | 0.726989i | \(-0.259081\pi\) |
0.128198 | + | 0.991749i | \(0.459081\pi\) | |||||||
\(882\) | 11.6975 | + | 23.4835i | 0.393874 | + | 0.790731i | ||||
\(883\) | 12.6959 | − | 39.0741i | 0.427252 | − | 1.31495i | −0.473569 | − | 0.880757i | \(-0.657035\pi\) |
0.900821 | − | 0.434190i | \(-0.142965\pi\) | |||||||
\(884\) | 0.138072 | + | 0.630362i | 0.00464386 | + | 0.0212014i | ||||
\(885\) | 29.5916 | + | 49.7514i | 0.994712 | + | 1.67237i | ||||
\(886\) | −1.72326 | + | 1.56131i | −0.0578940 | + | 0.0524534i | ||||
\(887\) | −7.23246 | − | 9.95463i | −0.242842 | − | 0.334244i | 0.670146 | − | 0.742229i | \(-0.266231\pi\) |
−0.912988 | + | 0.407985i | \(0.866231\pi\) | |||||||
\(888\) | 15.2704 | + | 7.22394i | 0.512441 | + | 0.242419i | ||||
\(889\) | −9.57053 | − | 6.95340i | −0.320985 | − | 0.233210i | ||||
\(890\) | −4.79362 | − | 31.0705i | −0.160682 | − | 1.04149i | ||||
\(891\) | −0.0682055 | − | 0.163834i | −0.00228497 | − | 0.00548865i | ||||
\(892\) | 23.4580 | − | 26.3793i | 0.785431 | − | 0.883246i | ||||
\(893\) | −32.2282 | −1.07848 | ||||||||
\(894\) | −40.6578 | + | 27.7640i | −1.35980 | + | 0.928566i | ||||
\(895\) | 20.2330 | − | 7.60234i | 0.676314 | − | 0.254118i | ||||
\(896\) | −9.24536 | + | 4.35872i | −0.308866 | + | 0.145615i | ||||
\(897\) | −32.5088 | − | 4.48171i | −1.08544 | − | 0.149640i | ||||
\(898\) | 2.61965 | − | 2.37347i | 0.0874188 | − | 0.0792036i | ||||
\(899\) | 13.2964 | 0.443460 | ||||||||
\(900\) | 8.34846 | − | 28.8150i | 0.278282 | − | 0.960499i | ||||
\(901\) | −0.0295947 | −0.000985943 | ||||||||
\(902\) | 0.0908613 | − | 0.0823226i | 0.00302535 | − | 0.00274104i | ||||
\(903\) | 11.0922 | + | 1.52919i | 0.369125 | + | 0.0508882i | ||||
\(904\) | 2.05293 | − | 6.52381i | 0.0682796 | − | 0.216979i | ||||
\(905\) | 13.5743 | + | 3.74072i | 0.451225 | + | 0.124346i | ||||
\(906\) | −13.7437 | + | 9.38517i | −0.456605 | + | 0.311801i | ||||
\(907\) | 56.2150 | 1.86659 | 0.933294 | − | 0.359112i | \(-0.116920\pi\) | ||||
0.933294 | + | 0.359112i | \(0.116920\pi\) | |||||||
\(908\) | −4.04821 | − | 3.59989i | −0.134345 | − | 0.119467i | ||||
\(909\) | 3.23309 | − | 11.5030i | 0.107235 | − | 0.381530i | ||||
\(910\) | 7.22581 | + | 1.17414i | 0.239533 | + | 0.0389223i | ||||
\(911\) | 9.76979 | + | 7.09817i | 0.323688 | + | 0.235173i | 0.737747 | − | 0.675077i | \(-0.235890\pi\) |
−0.414060 | + | 0.910250i | \(0.635890\pi\) | |||||||
\(912\) | −33.5906 | − | 25.4412i | −1.11229 | − | 0.842442i | ||||
\(913\) | −0.134413 | − | 0.185004i | −0.00444843 | − | 0.00612274i | ||||
\(914\) | −18.8766 | + | 17.1026i | −0.624381 | + | 0.565705i | ||||
\(915\) | 17.4392 | − | 19.8813i | 0.576524 | − | 0.657256i | ||||
\(916\) | −18.6578 | + | 4.08673i | −0.616471 | + | 0.135029i | ||||
\(917\) | −5.20099 | + | 16.0070i | −0.171752 | + | 0.528598i | ||||
\(918\) | 0.925257 | − | 0.0101604i | 0.0305380 | − | 0.000335342i | ||||
\(919\) | 29.4362 | + | 9.56441i | 0.971012 | + | 0.315501i | 0.751224 | − | 0.660047i | \(-0.229464\pi\) |
0.219787 | + | 0.975548i | \(0.429464\pi\) | |||||||
\(920\) | −46.6948 | + | 2.54955i | −1.53948 | + | 0.0840563i | ||||
\(921\) | 36.7214 | + | 5.06246i | 1.21001 | + | 0.166814i | ||||
\(922\) | 12.8768 | − | 1.39372i | 0.424074 | − | 0.0458996i | ||||
\(923\) | 17.5314 | − | 24.1299i | 0.577054 | − | 0.794246i | ||||
\(924\) | 0.0469215 | − | 0.0400823i | 0.00154360 | − | 0.00131861i | ||||
\(925\) | −11.3535 | − | 12.9753i | −0.373302 | − | 0.426624i | ||||
\(926\) | 42.6442 | + | 8.92643i | 1.40138 | + | 0.293341i | ||||
\(927\) | −0.381393 | − | 9.49093i | −0.0125266 | − | 0.311723i | ||||
\(928\) | −30.2191 | − | 26.3741i | −0.991992 | − | 0.865772i | ||||
\(929\) | −28.4310 | + | 9.23780i | −0.932792 | + | 0.303082i | −0.735704 | − | 0.677303i | \(-0.763148\pi\) |
−0.197088 | + | 0.980386i | \(0.563148\pi\) | |||||||
\(930\) | 9.71618 | − | 3.33060i | 0.318606 | − | 0.109215i | ||||
\(931\) | −35.7693 | − | 11.6221i | −1.17229 | − | 0.380901i | ||||
\(932\) | 46.3875 | + | 20.3099i | 1.51947 | + | 0.665272i | ||||
\(933\) | −25.2901 | − | 24.2942i | −0.827960 | − | 0.795357i | ||||
\(934\) | −18.1754 | − | 40.4848i | −0.594716 | − | 1.32470i | ||||
\(935\) | −0.00346323 | − | 0.00433937i | −0.000113260 | − | 0.000141913i | ||||
\(936\) | −18.2003 | − | 11.8949i | −0.594896 | − | 0.388796i | ||||
\(937\) | −30.9151 | − | 42.5510i | −1.00995 | − | 1.39008i | −0.919014 | − | 0.394226i | \(-0.871013\pi\) |
−0.0909402 | − | 0.995856i | \(-0.528987\pi\) | |||||||
\(938\) | 15.5976 | − | 7.00245i | 0.509281 | − | 0.228638i | ||||
\(939\) | −21.1429 | − | 39.5131i | −0.689972 | − | 1.28946i | ||||
\(940\) | −22.8955 | + | 6.11254i | −0.746770 | + | 0.199369i | ||||
\(941\) | 26.3527 | + | 36.2714i | 0.859074 | + | 1.18241i | 0.981790 | + | 0.189972i | \(0.0608396\pi\) |
−0.122716 | + | 0.992442i | \(0.539160\pi\) | |||||||
\(942\) | −33.7222 | + | 23.0278i | −1.09873 | + | 0.750287i | ||||
\(943\) | −32.5103 | −1.05868 | ||||||||
\(944\) | 54.3111 | − | 24.9912i | 1.76768 | − | 0.813393i | ||||
\(945\) | 3.75412 | − | 9.80281i | 0.122122 | − | 0.318886i | ||||
\(946\) | 0.0214717 | + | 0.198380i | 0.000698104 | + | 0.00644990i | ||||
\(947\) | 9.48870 | − | 3.08306i | 0.308341 | − | 0.100186i | −0.150759 | − | 0.988571i | \(-0.548172\pi\) |
0.459100 | + | 0.888384i | \(0.348172\pi\) | |||||||
\(948\) | −0.167920 | − | 2.13109i | −0.00545377 | − | 0.0692147i | ||||
\(949\) | 13.8269 | 0.448840 | ||||||||
\(950\) | 21.0884 | + | 37.4812i | 0.684197 | + | 1.21605i | ||||
\(951\) | −8.25595 | + | 17.0407i | −0.267718 | + | 0.552584i | ||||
\(952\) | 0.102268 | + | 0.305080i | 0.00331453 | + | 0.00988769i | ||||
\(953\) | −10.3227 | − | 31.7700i | −0.334385 | − | 1.02913i | −0.967024 | − | 0.254684i | \(-0.918029\pi\) |
0.632640 | − | 0.774446i | \(-0.281971\pi\) | |||||||
\(954\) | 0.711477 | − | 0.698643i | 0.0230349 | − | 0.0226194i | ||||
\(955\) | −26.0827 | − | 32.6812i | −0.844015 | − | 1.05754i | ||||
\(956\) | −4.15665 | + | 4.67430i | −0.134436 | + | 0.151178i | ||||
\(957\) | 0.217931 | + | 0.105584i | 0.00704470 | + | 0.00341304i | ||||
\(958\) | 14.8022 | − | 25.8225i | 0.478238 | − | 0.834287i | ||||
\(959\) | −14.3121 | + | 10.3984i | −0.462162 | + | 0.335780i | ||||
\(960\) | −28.6887 | − | 11.7030i | −0.925923 | − | 0.377712i | ||||
\(961\) | −22.2346 | − | 16.1544i | −0.717244 | − | 0.521108i | ||||
\(962\) | −11.3995 | + | 5.11774i | −0.367536 | + | 0.165003i | ||||
\(963\) | 7.00797 | − | 24.9337i | 0.225829 | − | 0.803476i | ||||
\(964\) | 20.2484 | + | 34.5752i | 0.652158 | + | 1.11359i | ||||
\(965\) | −43.6565 | + | 1.97723i | −1.40535 | + | 0.0636493i | ||||
\(966\) | −16.3560 | − | 0.477447i | −0.526245 | − | 0.0153616i | ||||
\(967\) | 3.58857 | − | 11.0445i | 0.115401 | − | 0.355167i | −0.876630 | − | 0.481166i | \(-0.840214\pi\) |
0.992030 | + | 0.125999i | \(0.0402135\pi\) | |||||||
\(968\) | −25.3385 | − | 18.0524i | −0.814412 | − | 0.580227i | ||||
\(969\) | −0.918941 | + | 0.956611i | −0.0295206 | + | 0.0307308i | ||||
\(970\) | −18.7314 | + | 36.4013i | −0.601429 | + | 1.16878i | ||||
\(971\) | −10.6117 | − | 32.6594i | −0.340545 | − | 1.04809i | −0.963926 | − | 0.266171i | \(-0.914242\pi\) |
0.623381 | − | 0.781918i | \(-0.285758\pi\) | |||||||
\(972\) | −22.0039 | + | 22.0868i | −0.705776 | + | 0.708435i | ||||
\(973\) | 4.62228 | − | 6.36203i | 0.148184 | − | 0.203957i | ||||
\(974\) | −0.519510 | − | 0.108746i | −0.0166462 | − | 0.00348444i | ||||
\(975\) | 12.1953 | + | 18.5395i | 0.390562 | + | 0.593738i | ||||
\(976\) | −18.5261 | − | 20.0699i | −0.593007 | − | 0.642423i | ||||
\(977\) | 30.3194 | + | 22.0283i | 0.970003 | + | 0.704749i | 0.955452 | − | 0.295146i | \(-0.0953681\pi\) |
0.0145509 | + | 0.999894i | \(0.495368\pi\) | |||||||
\(978\) | −3.24930 | − | 1.16163i | −0.103901 | − | 0.0371448i | ||||
\(979\) | 0.186437 | − | 0.0605770i | 0.00595854 | − | 0.00193605i | ||||
\(980\) | −27.6155 | − | 1.47244i | −0.882145 | − | 0.0470355i | ||||
\(981\) | −31.3419 | + | 11.5945i | −1.00067 | + | 0.370182i | ||||
\(982\) | −42.2997 | − | 8.85431i | −1.34984 | − | 0.282553i | ||||
\(983\) | −28.5156 | − | 9.26529i | −0.909507 | − | 0.295517i | −0.183352 | − | 0.983047i | \(-0.558695\pi\) |
−0.726156 | + | 0.687530i | \(0.758695\pi\) | |||||||
\(984\) | −19.4710 | − | 9.21109i | −0.620712 | − | 0.293639i | ||||
\(985\) | 9.41518 | − | 3.53766i | 0.299993 | − | 0.112719i | ||||
\(986\) | −0.935708 | + | 0.847775i | −0.0297990 | + | 0.0269986i | ||||
\(987\) | −8.16201 | + | 1.46131i | −0.259800 | + | 0.0465141i | ||||
\(988\) | 30.4472 | − | 6.66904i | 0.968656 | − | 0.212170i | ||||
\(989\) | 31.0990 | − | 42.8042i | 0.988892 | − | 1.36109i | ||||
\(990\) | 0.185698 | + | 0.0225648i | 0.00590186 | + | 0.000717158i | ||||
\(991\) | 28.0040 | + | 38.5442i | 0.889576 | + | 1.22440i | 0.973675 | + | 0.227939i | \(0.0731986\pi\) |
−0.0840998 | + | 0.996457i | \(0.526801\pi\) | |||||||
\(992\) | −2.36586 | − | 10.3408i | −0.0751161 | − | 0.328322i | ||||
\(993\) | 8.11704 | + | 3.93257i | 0.257587 | + | 0.124796i | ||||
\(994\) | 7.39612 | − | 12.9025i | 0.234591 | − | 0.409243i | ||||
\(995\) | 42.5338 | − | 1.92638i | 1.34841 | − | 0.0610705i | ||||
\(996\) | −20.9877 | + | 34.2560i | −0.665021 | + | 1.08544i | ||||
\(997\) | 38.2353 | − | 12.4234i | 1.21092 | − | 0.393453i | 0.367155 | − | 0.930160i | \(-0.380332\pi\) |
0.843769 | + | 0.536707i | \(0.180332\pi\) | |||||||
\(998\) | −18.1390 | + | 16.4344i | −0.574181 | + | 0.520222i | ||||
\(999\) | 3.86336 | + | 17.4962i | 0.122231 | + | 0.553554i |
(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 | 300.2.r.a.59.15 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.42 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.8 | ✓ | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.49 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.49 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.8 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.42 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.15 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.8 | ✓ | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.15 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.42 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.49 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.8 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.15 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.42 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.49 | yes | 224 | 25.14 | even | 10 | inner |