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 | 59.42 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.42 |
$q$-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 | ||||
\(3\) | −1.24909 | + | 1.19990i | −0.721163 | + | 0.692765i | ||||
\(4\) | −0.196739 | + | 1.99030i | −0.0983694 | + | 0.995150i | ||||
\(5\) | 0.101169 | + | 2.23378i | 0.0452443 | + | 0.998976i | ||||
\(6\) | −2.44360 | − | 0.169726i | −0.997597 | − | 0.0692905i | ||||
\(7\) | 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 | ||||
\(9\) | 0.120458 | − | 2.99758i | 0.0401526 | − | 0.999194i | ||||
\(10\) | −2.24500 | + | 2.22710i | −0.709933 | + | 0.704269i | ||||
\(11\) | 0.0159524 | + | 0.0115901i | 0.00480983 | + | 0.00349455i | 0.590188 | − | 0.807266i | \(-0.299054\pi\) |
−0.585378 | + | 0.810761i | \(0.699054\pi\) | |||||||
\(12\) | −2.14243 | − | 2.72213i | −0.618465 | − | 0.785812i | ||||
\(13\) | −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 | ||||
\(15\) | −2.80669 | − | 2.66880i | −0.724684 | − | 0.689081i | ||||
\(16\) | −3.92259 | − | 0.783138i | −0.980647 | − | 0.195785i | ||||
\(17\) | 0.0389111 | − | 0.119756i | 0.00943734 | − | 0.0290451i | −0.946227 | − | 0.323504i | \(-0.895139\pi\) |
0.955664 | + | 0.294458i | \(0.0951392\pi\) | |||||||
\(18\) | 3.25594 | − | 2.72009i | 0.767432 | − | 0.641130i | ||||
\(19\) | 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 | ||||
\(21\) | −1.12848 | + | 1.08405i | −0.246256 | + | 0.236558i | ||||
\(22\) | 0.00300070 | + | 0.0277239i | 0.000639751 | + | 0.00591076i | ||||
\(23\) | −4.34613 | + | 5.98194i | −0.906232 | + | 1.24732i | 0.0622055 | + | 0.998063i | \(0.480187\pi\) |
−0.968437 | + | 0.249258i | \(0.919813\pi\) | |||||||
\(24\) | 0.818558 | − | 4.83011i | 0.167087 | − | 0.985942i | ||||
\(25\) | −4.97953 | + | 0.451980i | −0.995906 | + | 0.0903959i | ||||
\(26\) | 0.742446 | − | 3.54689i | 0.145606 | − | 0.695602i | ||||
\(27\) | 3.44635 | + | 3.88879i | 0.663250 | + | 0.748398i | ||||
\(28\) | −0.177743 | + | 1.79813i | −0.0335902 | + | 0.339814i | ||||
\(29\) | 6.74343 | − | 2.19107i | 1.25222 | − | 0.406872i | 0.393506 | − | 0.919322i | \(-0.371262\pi\) |
0.858717 | + | 0.512450i | \(0.171262\pi\) | |||||||
\(30\) | 0.131913 | − | 5.47564i | 0.0240840 | − | 0.999710i | ||||
\(31\) | −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 | ||||
\(33\) | −0.0338330 | + | 0.00466427i | −0.00588957 | + | 0.000811945i | ||||
\(34\) | 0.162456 | − | 0.0729335i | 0.0278610 | − | 0.0125080i | ||||
\(35\) | 0.0914009 | + | 2.01809i | 0.0154496 | + | 0.341120i | ||||
\(36\) | 5.94239 | + | 0.829487i | 0.990398 | + | 0.138248i | ||||
\(37\) | 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 | ||||
\(39\) | 4.36871 | + | 0.782167i | 0.699554 | + | 0.125247i | ||||
\(40\) | −3.99091 | − | 4.90639i | −0.631018 | − | 0.775768i | ||||
\(41\) | 2.58437 | + | 3.55708i | 0.403611 | + | 0.555523i | 0.961646 | − | 0.274295i | \(-0.0884444\pi\) |
−0.558035 | + | 0.829818i | \(0.688444\pi\) | |||||||
\(42\) | −2.20766 | − | 0.153338i | −0.340649 | − | 0.0236606i | ||||
\(43\) | 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 | ||||
\(45\) | 6.70812 | − | 0.0341874i | 0.999987 | − | 0.00509636i | ||||
\(46\) | −10.3961 | + | 1.12522i | −1.53282 | + | 0.165905i | ||||
\(47\) | 5.03956 | − | 1.63745i | 0.735096 | − | 0.238847i | 0.0825400 | − | 0.996588i | \(-0.473697\pi\) |
0.652556 | + | 0.757741i | \(0.273697\pi\) | |||||||
\(48\) | 5.83936 | − | 3.72852i | 0.842839 | − | 0.538165i | ||||
\(49\) | −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 | 0.945944 | − | 0.324329i | \(-0.105138\pi\) |
−0.955921 | + | 0.293625i | \(0.905138\pi\) | |||||||
\(54\) | −0.803119 | + | 7.30445i | −0.109291 | + | 0.994010i | ||||
\(55\) | −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 | \(-0.274248\pi\) |
0.922972 | − | 0.384866i | \(-0.125752\pi\) | |||||||
\(60\) | 5.86390 | − | 5.06110i | 0.757026 | − | 0.653385i | ||||
\(61\) | 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 | ||||
\(63\) | 0.108827 | − | 2.70815i | 0.0137109 | − | 0.341195i | ||||
\(64\) | 2.33041 | − | 7.65305i | 0.291301 | − | 0.956632i | ||||
\(65\) | 4.47828 | − | 3.57409i | 0.555462 | − | 0.443311i | ||||
\(66\) | −0.0370142 | − | 0.0310291i | −0.00455613 | − | 0.00381942i | ||||
\(67\) | −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 | ||||
\(69\) | −1.74904 | − | 12.6869i | −0.210560 | − | 1.52733i | ||||
\(70\) | −2.02824 | + | 2.01206i | −0.242421 | + | 0.240487i | ||||
\(71\) | −3.59697 | − | 11.0703i | −0.426881 | − | 1.31381i | −0.901181 | − | 0.433443i | \(-0.857299\pi\) |
0.474300 | − | 0.880363i | \(-0.342701\pi\) | |||||||
\(72\) | 4.77322 | + | 7.01544i | 0.562529 | + | 0.826777i | ||||
\(73\) | −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 | ||||
\(75\) | 5.67755 | − | 6.53952i | 0.655587 | − | 0.755119i | ||||
\(76\) | −4.87869 | + | 11.1429i | −0.559624 | + | 1.27817i | ||||
\(77\) | 0.0144121 | + | 0.0104710i | 0.00164241 | + | 0.00119328i | ||||
\(78\) | 3.32854 | + | 5.32125i | 0.376883 | + | 0.602513i | ||||
\(79\) | −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 | ||||
\(81\) | −8.97098 | − | 0.722163i | −0.996776 | − | 0.0802404i | ||||
\(82\) | −1.27396 | + | 6.08610i | −0.140686 | + | 0.672097i | ||||
\(83\) | −11.0296 | − | 3.58375i | −1.21066 | − | 0.393367i | −0.366988 | − | 0.930226i | \(-0.619611\pi\) |
−0.843672 | + | 0.536858i | \(0.819611\pi\) | |||||||
\(84\) | −1.93556 | − | 2.45930i | −0.211187 | − | 0.268331i | ||||
\(85\) | 0.271445 | + | 0.0748032i | 0.0294424 | + | 0.00811355i | ||||
\(86\) | 6.79451 | + | 7.49925i | 0.732671 | + | 0.808665i | ||||
\(87\) | −5.79408 | + | 10.8283i | −0.621191 | + | 1.16092i | ||||
\(88\) | −0.0557692 | 0.000517917i | −0.00594502 | 5.52102e-5i | ||||||
\(89\) | 5.84353 | − | 8.04293i | 0.619413 | − | 0.852549i | −0.377897 | − | 0.925848i | \(-0.623353\pi\) |
0.997310 | + | 0.0732989i | \(0.0233527\pi\) | |||||||
\(90\) | 6.40547 | + | 6.99785i | 0.675196 | + | 0.737639i | ||||
\(91\) | −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 | ||||
\(96\) | 9.45233 | + | 2.57945i | 0.964724 | + | 0.263264i | ||||
\(97\) | 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 | \(0.0634955\pi\) | ||||
−0.980170 | + | 0.198157i | \(0.936504\pi\) | |||||||
\(102\) | −0.115409 | + | 0.286032i | −0.0114272 | + | 0.0283214i | ||||
\(103\) | −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 | ||||
\(105\) | −2.53569 | − | 2.41111i | −0.247458 | − | 0.235300i | ||||
\(106\) | 0.165299 | − | 0.288365i | 0.0160553 | − | 0.0280084i | ||||
\(107\) | 8.63326i | 0.834609i | 0.908767 | + | 0.417304i | \(0.137025\pi\) | ||||
−0.908767 | + | 0.417304i | \(0.862975\pi\) | |||||||
\(108\) | −8.41789 | + | 6.09419i | −0.810012 | + | 0.586414i | ||||
\(109\) | −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 | ||||
\(111\) | −5.87906 | − | 1.05258i | −0.558016 | − | 0.0999063i | ||||
\(112\) | −3.54384 | − | 0.707522i | −0.334861 | − | 0.0668545i | ||||
\(113\) | −1.95622 | + | 1.42128i | −0.184026 | + | 0.133703i | −0.675984 | − | 0.736916i | \(-0.736281\pi\) |
0.491958 | + | 0.870619i | \(0.336281\pi\) | |||||||
\(114\) | −13.8157 | − | 5.57440i | −1.29396 | − | 0.522090i | ||||
\(115\) | −13.8020 | − | 9.10311i | −1.28705 | − | 0.848870i | ||||
\(116\) | 3.03420 | + | 13.8525i | 0.281718 | + | 1.28617i | ||||
\(117\) | −6.39545 | + | 4.26504i | −0.591259 | + | 0.394303i | ||||
\(118\) | 20.6888 | + | 4.33065i | 1.90456 | + | 0.398669i | ||||
\(119\) | 0.0351541 | − | 0.108193i | 0.00322257 | − | 0.00991804i | ||||
\(120\) | 10.8722 | + | 1.33982i | 0.992492 | + | 0.122308i | ||||
\(121\) | −3.39907 | − | 10.4613i | −0.309006 | − | 0.951023i | ||||
\(122\) | 1.03913 | + | 9.60066i | 0.0940782 | + | 0.869203i | ||||
\(123\) | −7.49627 | − | 1.34212i | −0.675916 | − | 0.121015i | ||||
\(124\) | 1.50423 | − | 3.43563i | 0.135083 | − | 0.308529i | ||||
\(125\) | −1.51340 | − | 11.0774i | −0.135362 | − | 0.990796i | ||||
\(126\) | 2.94156 | − | 2.45745i | 0.262055 | − | 0.218927i | ||||
\(127\) | −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 | ||||
\(129\) | −8.93795 | + | 8.58599i | −0.786943 | + | 0.755955i | ||||
\(130\) | 7.99807 | + | 1.29962i | 0.701477 | + | 0.113985i | ||||
\(131\) | 5.75685 | − | 17.7178i | 0.502978 | − | 1.54801i | −0.301165 | − | 0.953572i | \(-0.597375\pi\) |
0.804143 | − | 0.594436i | \(-0.202625\pi\) | |||||||
\(132\) | −0.00262703 | − | 0.0682555i | −0.000228654 | − | 0.00594088i | ||||
\(133\) | 5.22585 | + | 1.69798i | 0.453139 | + | 0.147234i | ||||
\(134\) | −17.2646 | + | 7.75084i | −1.49144 | + | 0.669570i | ||||
\(135\) | −8.33803 | + | 8.09180i | −0.717623 | + | 0.696432i | ||||
\(136\) | 0.113198 | + | 0.337685i | 0.00970665 | + | 0.0289562i | ||||
\(137\) | 15.8417 | − | 11.5097i | 1.35345 | − | 0.983338i | 0.354617 | − | 0.935012i | \(-0.384611\pi\) |
0.998832 | − | 0.0483266i | \(-0.0153888\pi\) | |||||||
\(138\) | 11.6355 | − | 13.8798i | 0.990481 | − | 1.18153i | ||||
\(139\) | 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 | ||||
\(141\) | −4.33009 | + | 8.09232i | −0.364659 | + | 0.681497i | ||||
\(142\) | 8.18657 | − | 14.2815i | 0.687002 | − | 1.19847i | ||||
\(143\) | − | 0.0505258i | − | 0.00422518i | ||||||
\(144\) | −2.82003 | + | 11.6639i | −0.235002 | + | 0.971995i | ||||
\(145\) | 5.57660 | + | 14.8417i | 0.463111 | + | 1.23253i | ||||
\(146\) | −7.58693 | + | 0.821172i | −0.627899 | + | 0.0679606i | ||||
\(147\) | 7.72412 | − | 7.41996i | 0.637074 | − | 0.611988i | ||||
\(148\) | −5.95108 | + | 3.48516i | −0.489176 | + | 0.286478i | ||||
\(149\) | 20.0993i | 1.64660i | 0.567606 | + | 0.823300i | \(0.307870\pi\) | ||||
−0.567606 | + | 0.823300i | \(0.692130\pi\) | |||||||
\(150\) | 12.2447 | − | 0.259301i | 0.999776 | − | 0.0211719i | ||||
\(151\) | − | 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 | ||||
\(153\) | −0.354292 | − | 0.131065i | −0.0286428 | − | 0.0105960i | ||||
\(154\) | 0.00271096 | + | 0.0250470i | 0.000218456 | + | 0.00201835i | ||||
\(155\) | 1.11401 | − | 4.04250i | 0.0894792 | − | 0.324702i | ||||
\(156\) | −2.41624 | + | 8.54117i | −0.193454 | + | 0.683841i | ||||
\(157\) | − | 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 | ||||
\(159\) | 0.358930 | + | 0.192058i | 0.0284650 | + | 0.0152312i | ||||
\(160\) | 10.5504 | − | 6.97783i | 0.834079 | − | 0.551646i | ||||
\(161\) | −3.92649 | + | 5.40435i | −0.309451 | + | 0.425923i | ||||
\(162\) | −7.76148 | − | 10.0876i | −0.609799 | − | 0.792556i | ||||
\(163\) | 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 | ||||
\(165\) | −0.0138418 | − | 0.0751036i | −0.00107758 | − | 0.00584681i | ||||
\(166\) | −6.71723 | − | 14.9623i | −0.521358 | − | 1.16130i | ||||
\(167\) | 0.226354 | + | 0.0735469i | 0.0175158 | + | 0.00569123i | 0.317762 | − | 0.948171i | \(-0.397069\pi\) |
−0.300246 | + | 0.953862i | \(0.597069\pi\) | |||||||
\(168\) | 0.739521 | − | 4.36374i | 0.0570553 | − | 0.336670i | ||||
\(169\) | 1.98827 | − | 6.11927i | 0.152944 | − | 0.470713i | ||||
\(170\) | 0.179353 | + | 0.355512i | 0.0137557 | + | 0.0272665i | ||||
\(171\) | 6.33059 | − | 17.1127i | 0.484112 | − | 1.30864i | ||||
\(172\) | −1.40778 | + | 14.2417i | −0.107342 | + | 1.08592i | ||||
\(173\) | 1.78034 | + | 1.29349i | 0.135357 | + | 0.0983426i | 0.653403 | − | 0.757010i | \(-0.273341\pi\) |
−0.518046 | + | 0.855352i | \(0.673341\pi\) | |||||||
\(174\) | −16.8501 | + | 4.20957i | −1.27741 | + | 0.319127i | ||||
\(175\) | −4.49873 | + | 0.408338i | −0.340072 | + | 0.0308675i | ||||
\(176\) | −0.0534980 | − | 0.0579561i | −0.00403257 | − | 0.00436861i | ||||
\(177\) | −4.56234 | + | 25.4825i | −0.342927 | + | 1.91538i | ||||
\(178\) | 13.9779 | − | 1.51290i | 1.04769 | − | 0.113397i | ||||
\(179\) | −2.98700 | − | 9.19303i | −0.223259 | − | 0.687119i | −0.998464 | − | 0.0554096i | \(-0.982354\pi\) |
0.775205 | − | 0.631710i | \(-0.217646\pi\) | |||||||
\(180\) | −1.25170 | + | 13.3579i | −0.0932965 | + | 0.995638i | ||||
\(181\) | −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 | ||||
\(183\) | −11.7162 | + | 1.61522i | −0.866088 | + | 0.119400i | ||||
\(184\) | −0.194212 | − | 20.9127i | −0.0143175 | − | 1.54171i | ||||
\(185\) | −6.02650 | + | 4.80972i | −0.443077 | + | 0.353618i | ||||
\(186\) | 4.25974 | + | 1.71873i | 0.312339 | + | 0.126023i | ||||
\(187\) | 0.00200871 | − | 0.00145941i | 0.000146892 | − | 0.000106723i | ||||
\(188\) | 2.26755 | + | 10.3524i | 0.165378 | + | 0.755026i | ||||
\(189\) | 3.11358 | + | 3.51331i | 0.226480 | + | 0.255555i | ||||
\(190\) | −17.1717 | + | 8.66295i | −1.24576 | + | 0.628477i | ||||
\(191\) | −15.1282 | + | 10.9913i | −1.09464 | + | 0.795303i | −0.980177 | − | 0.198124i | \(-0.936515\pi\) |
−0.114464 | + | 0.993427i | \(0.536515\pi\) | |||||||
\(192\) | 6.27204 | + | 12.3556i | 0.452646 | + | 0.891690i | ||||
\(193\) | − | 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 | ||||
\(195\) | −1.30521 | + | 9.83787i | −0.0934679 | + | 0.704504i | ||||
\(196\) | 1.21659 | − | 12.3076i | 0.0868994 | − | 0.879114i | ||||
\(197\) | −1.38996 | − | 4.27787i | −0.0990308 | − | 0.304785i | 0.889252 | − | 0.457417i | \(-0.151225\pi\) |
−0.988283 | + | 0.152631i | \(0.951225\pi\) | |||||||
\(198\) | 0.0834661 | − | 0.00565527i | 0.00593168 | − | 0.000401903i | ||||
\(199\) | 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 | ||||
\(204\) | −0.409357 | + | 0.150647i | −0.0286607 | + | 0.0105474i | ||||
\(205\) | −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 | ||||
\(210\) | 0.119176 | − | 4.94693i | 0.00822395 | − | 0.341371i | ||||
\(211\) | −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 | ||||
\(213\) | 17.7763 | + | 9.51183i | 1.21801 | + | 0.651740i | ||||
\(214\) | −9.04793 | + | 8.19765i | −0.618504 | + | 0.560380i | ||||
\(215\) | 0.723923 | + | 15.9839i | 0.0493712 | + | 1.09010i | ||||
\(216\) | −14.3800 | − | 3.03552i | −0.978438 | − | 0.206541i | ||||
\(217\) | −1.61127 | − | 0.523532i | −0.109380 | − | 0.0355397i | ||||
\(218\) | −15.4191 | − | 3.22757i | −1.04431 | − | 0.218599i | ||||
\(219\) | −1.27643 | − | 9.25876i | −0.0862529 | − | 0.625649i | ||||
\(220\) | −0.0684804 | − | 0.0555575i | −0.00461695 | − | 0.00374568i | ||||
\(221\) | −0.306861 | + | 0.0997053i | −0.0206417 | + | 0.00670691i | ||||
\(222\) | −4.47928 | − | 7.16091i | −0.300630 | − | 0.480609i | ||||
\(223\) | −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 | ||||
\(225\) | 0.755023 | + | 14.9810i | 0.0503348 | + | 0.998732i | ||||
\(226\) | −3.34706 | − | 0.700617i | −0.222643 | − | 0.0466043i | ||||
\(227\) | 1.59211 | − | 2.19135i | 0.105672 | − | 0.145445i | −0.752906 | − | 0.658128i | \(-0.771349\pi\) |
0.858578 | + | 0.512683i | \(0.171349\pi\) | |||||||
\(228\) | −7.27645 | − | 19.7724i | −0.481894 | − | 1.30946i | ||||
\(229\) | 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 | ||||
\(231\) | −0.0305663 | + | 0.00421391i | −0.00201111 | + | 0.000277255i | ||||
\(232\) | −11.6368 | + | 16.3335i | −0.763991 | + | 1.07235i | ||||
\(233\) | −7.82413 | + | 24.0802i | −0.512576 | + | 1.57755i | 0.275074 | + | 0.961423i | \(0.411298\pi\) |
−0.787650 | + | 0.616123i | \(0.788702\pi\) | |||||||
\(234\) | −10.5426 | − | 2.65279i | −0.689194 | − | 0.173418i | ||||
\(235\) | 4.16756 | + | 11.0916i | 0.271861 | + | 0.723537i | ||||
\(236\) | 15.1062 | + | 25.7947i | 0.983333 | + | 1.67909i | ||||
\(237\) | 0.504273 | − | 0.942416i | 0.0327561 | − | 0.0612165i | ||||
\(238\) | 0.146770 | − | 0.0658913i | 0.00951368 | − | 0.00427110i | ||||
\(239\) | −2.53026 | − | 1.83834i | −0.163669 | − | 0.118912i | 0.502936 | − | 0.864324i | \(-0.332253\pi\) |
−0.666605 | + | 0.745411i | \(0.732253\pi\) | |||||||
\(240\) | 8.91945 | + | 12.6666i | 0.575748 | + | 0.817627i | ||||
\(241\) | 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 | ||||
\(246\) | −5.71144 | − | 9.13073i | −0.364148 | − | 0.582154i | ||||
\(247\) | −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 | \(-0.389642\pi\) | ||||
0.339795 | + | 0.940499i | \(0.389642\pi\) | |||||||
\(252\) | 5.36862 | + | 0.749396i | 0.338191 | + | 0.0472075i | ||||
\(253\) | −0.138663 | + | 0.0450542i | −0.00871764 | + | 0.00283253i | ||||
\(254\) | −1.99265 | − | 18.4104i | −0.125030 | − | 1.15517i | ||||
\(255\) | −0.428817 | + | 0.232272i | −0.0268535 | + | 0.0145455i | ||||
\(256\) | 14.7734 | + | 6.14386i | 0.923337 | + | 0.383991i | ||||
\(257\) | 10.3946 | 0.648396 | 0.324198 | − | 0.945989i | \(-0.394906\pi\) | ||||
0.324198 | + | 0.945989i | \(0.394906\pi\) | |||||||
\(258\) | −17.4854 | − | 1.21449i | −1.08859 | − | 0.0756107i | ||||
\(259\) | 1.83113 | + | 2.52033i | 0.113781 | + | 0.156606i | ||||
\(260\) | 6.23246 | + | 9.61628i | 0.386521 | + | 0.596376i | ||||
\(261\) | −5.75562 | − | 20.4779i | −0.356264 | − | 1.26755i | ||||
\(262\) | 24.0351 | − | 10.7904i | 1.48490 | − | 0.666633i | ||||
\(263\) | 5.84833 | + | 8.04953i | 0.360623 | + | 0.496355i | 0.950322 | − | 0.311268i | \(-0.100754\pi\) |
−0.589699 | + | 0.807623i | \(0.700754\pi\) | |||||||
\(264\) | 0.0690394 | − | 0.0675647i | 0.00424908 | − | 0.00415832i | ||||
\(265\) | 0.491961 | − | 0.184849i | 0.0302209 | − | 0.0113552i | ||||
\(266\) | 3.18263 | + | 7.08916i | 0.195140 | + | 0.434664i | ||||
\(267\) | 2.35165 | + | 17.0580i | 0.143918 | + | 1.04393i | ||||
\(268\) | −24.5166 | − | 10.7341i | −1.49759 | − | 0.655691i | ||||
\(269\) | −17.1210 | − | 5.56295i | −1.04389 | − | 0.339179i | −0.263619 | − | 0.964627i | \(-0.584916\pi\) |
−0.780266 | + | 0.625448i | \(0.784916\pi\) | |||||||
\(270\) | −16.3978 | − | 1.05500i | −0.997937 | − | 0.0642055i | ||||
\(271\) | 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 | ||||
\(273\) | 3.94689 | + | 0.706645i | 0.238877 | + | 0.0427681i | ||||
\(274\) | 27.1049 | + | 5.67368i | 1.63747 | + | 0.342760i | ||||
\(275\) | −0.0846740 | − | 0.0505031i | −0.00510603 | − | 0.00304545i | ||||
\(276\) | 25.5949 | − | 0.985102i | 1.54063 | − | 0.0592962i | ||||
\(277\) | 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 | ||||
\(279\) | −1.95188 | + | 5.27629i | −0.116856 | + | 0.315883i | ||||
\(280\) | −3.60556 | − | 4.43265i | −0.215474 | − | 0.264901i | ||||
\(281\) | −3.16219 | − | 1.02746i | −0.188640 | − | 0.0612929i | 0.213173 | − | 0.977014i | \(-0.431620\pi\) |
−0.401814 | + | 0.915721i | \(0.631620\pi\) | |||||||
\(282\) | −12.5926 | + | 3.14594i | −0.749879 | + | 0.187338i | ||||
\(283\) | 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 | ||||
\(285\) | −11.2190 | − | 20.7124i | −0.664558 | − | 1.22689i | ||||
\(286\) | 0.0529526 | − | 0.0479763i | 0.00313115 | − | 0.00283690i | ||||
\(287\) | 2.33484 | + | 3.21362i | 0.137821 | + | 0.189694i | ||||
\(288\) | −14.9019 | + | 8.11993i | −0.878103 | + | 0.478471i | ||||
\(289\) | 13.7405 | + | 9.98303i | 0.808262 | + | 0.587237i | ||||
\(290\) | −10.2593 | + | 19.9372i | −0.602447 | + | 1.17075i | ||||
\(291\) | −10.5788 | + | 19.7703i | −0.620141 | + | 1.15896i | ||||
\(292\) | −8.06473 | − | 7.17161i | −0.471953 | − | 0.419687i | ||||
\(293\) | −16.5822 | −0.968744 | −0.484372 | − | 0.874862i | \(-0.660952\pi\) | ||||
−0.484372 | + | 0.874862i | \(0.660952\pi\) | |||||||
\(294\) | 15.1107 | + | 1.04955i | 0.881275 | + | 0.0612111i | ||||
\(295\) | 20.8475 | + | 26.1216i | 1.21379 | + | 1.52086i | ||||
\(296\) | −9.30336 | − | 2.92761i | −0.540747 | − | 0.170164i | ||||
\(297\) | 0.00990608 | + | 0.101979i | 0.000574809 | + | 0.00591743i | ||||
\(298\) | −21.0647 | + | 19.0852i | −1.22025 | + | 1.10557i | ||||
\(299\) | 18.9465 | 1.09570 | ||||||||
\(300\) | 11.8986 | + | 12.5866i | 0.686967 | + | 0.726688i | ||||
\(301\) | 6.46465 | 0.372616 | ||||||||
\(302\) | 7.12060 | − | 6.45144i | 0.409744 | − | 0.371239i | ||||
\(303\) | −4.77910 | − | 4.97501i | −0.274552 | − | 0.285807i | ||||
\(304\) | −21.2178 | − | 11.9023i | −1.21692 | − | 0.682643i | ||||
\(305\) | −8.40660 | + | 12.7460i | −0.481361 | + | 0.729833i | ||||
\(306\) | −0.199055 | − | 0.495760i | −0.0113792 | − | 0.0283407i | ||||
\(307\) | 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 | ||||
\(309\) | 4.83531 | + | 2.58731i | 0.275071 | + | 0.147187i | ||||
\(310\) | 5.29446 | − | 2.67101i | 0.300705 | − | 0.151703i | ||||
\(311\) | 16.3800 | + | 11.9008i | 0.928824 | + | 0.674830i | 0.945705 | − | 0.325027i | \(-0.105373\pi\) |
−0.0168804 | + | 0.999858i | \(0.505373\pi\) | |||||||
\(312\) | −11.2457 | + | 5.57790i | −0.636664 | + | 0.315787i | ||||
\(313\) | −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 | ||||
\(315\) | 6.06041 | − | 0.0308864i | 0.341465 | − | 0.00174025i | ||||
\(316\) | −0.264074 | − | 1.20562i | −0.0148553 | − | 0.0678214i | ||||
\(317\) | 3.37828 | − | 10.3973i | 0.189743 | − | 0.583969i | −0.810255 | − | 0.586078i | \(-0.800671\pi\) |
0.999998 | + | 0.00210901i | \(0.000671321\pi\) | |||||||
\(318\) | 0.139536 | + | 0.558537i | 0.00782479 | + | 0.0313212i | ||||
\(319\) | 0.132969 | + | 0.0432041i | 0.00744482 | + | 0.00241897i | ||||
\(320\) | 17.3310 | + | 4.43135i | 0.968832 | + | 0.247720i | ||||
\(321\) | −10.3591 | − | 10.7837i | −0.578188 | − | 0.601889i | ||||
\(322\) | −9.39230 | + | 1.01658i | −0.523412 | + | 0.0566515i | ||||
\(323\) | 0.450153 | − | 0.619582i | 0.0250472 | − | 0.0344745i | ||||
\(324\) | 3.20226 | − | 17.7129i | 0.177903 | − | 0.984048i | ||||
\(325\) | 8.43679 | + | 9.64189i | 0.467989 | + | 0.534836i | ||||
\(326\) | 1.95000 | + | 0.408181i | 0.108001 | + | 0.0226070i | ||||
\(327\) | 3.40025 | − | 18.9917i | 0.188034 | − | 1.05025i | ||||
\(328\) | −11.8625 | − | 3.73294i | −0.654998 | − | 0.206117i | ||||
\(329\) | 4.55297 | − | 1.47935i | 0.251013 | − | 0.0815591i | ||||
\(330\) | 0.0655675 | − | 0.0858207i | 0.00360937 | − | 0.00472427i | ||||
\(331\) | 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 | ||||
\(333\) | 8.60648 | − | 5.73955i | 0.471632 | − | 0.314525i | ||||
\(334\) | 0.137853 | + | 0.307062i | 0.00754299 | + | 0.0168017i | ||||
\(335\) | −28.8472 | − | 7.94954i | −1.57609 | − | 0.434330i | ||||
\(336\) | 5.27554 | − | 3.36851i | 0.287804 | − | 0.183767i | ||||
\(337\) | 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 | ||||
\(339\) | 0.738100 | − | 4.12258i | 0.0400881 | − | 0.223908i | ||||
\(340\) | −0.202285 | + | 0.525541i | −0.0109704 | + | 0.0285015i | ||||
\(341\) | −0.0217343 | − | 0.0299148i | −0.00117698 | − | 0.00161997i | ||||
\(342\) | 23.9458 | − | 9.61459i | 1.29484 | − | 0.519897i | ||||
\(343\) | −11.9108 | −0.643124 | ||||||||
\(344\) | −16.2625 | + | 12.0477i | −0.876816 | + | 0.649569i | ||||
\(345\) | 28.1629 | − | 5.19050i | 1.51624 | − | 0.279447i | ||||
\(346\) | 0.334888 | + | 3.09408i | 0.0180037 | + | 0.166339i | ||||
\(347\) | 8.19771 | − | 2.66360i | 0.440076 | − | 0.142989i | −0.0805945 | − | 0.996747i | \(-0.525682\pi\) |
0.520671 | + | 0.853757i | \(0.325682\pi\) | |||||||
\(348\) | −20.4117 | − | 13.6623i | −1.09418 | − | 0.732377i | ||||
\(349\) | −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 | \(-0.992137\pi\) |
0.794252 | − | 0.607588i | \(-0.207863\pi\) | |||||||
\(354\) | −31.0386 | + | 19.4152i | −1.64968 | + | 1.03191i | ||||
\(355\) | 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 | −0.925058 | − | 0.379826i | \(-0.875984\pi\) |
0.0753771 | + | 0.997155i | \(0.475984\pi\) | |||||||
\(360\) | −15.1880 | + | 11.3721i | −0.800480 | + | 0.599360i | ||||
\(361\) | 14.5552 | + | 10.5750i | 0.766064 | + | 0.556578i | ||||
\(362\) | −8.12402 | + | 3.64722i | −0.426989 | + | 0.191694i | ||||
\(363\) | 16.7982 | + | 8.98850i | 0.881679 | + | 0.471774i | ||||
\(364\) | 3.99524 | − | 2.33975i | 0.209408 | − | 0.122636i | ||||
\(365\) | −10.0725 | − | 6.64333i | −0.527220 | − | 0.347728i | ||||
\(366\) | −12.8178 | − | 10.7452i | −0.669999 | − | 0.561663i | ||||
\(367\) | −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 | ||||
\(369\) | 10.9739 | − | 7.31838i | 0.571281 | − | 0.380980i | ||||
\(370\) | −10.7632 | − | 1.74893i | −0.559550 | − | 0.0909225i | ||||
\(371\) | −0.0656155 | − | 0.201944i | −0.00340659 | − | 0.0104844i | ||||
\(372\) | 2.24352 | + | 6.09635i | 0.116321 | + | 0.316081i | ||||
\(373\) | −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 | ||||||
\(375\) | 15.1822 | + | 12.0208i | 0.784008 | + | 0.620751i | ||||
\(376\) | −8.69650 | + | 12.2065i | −0.448488 | + | 0.629502i | ||||
\(377\) | −14.6986 | − | 10.6792i | −0.757017 | − | 0.550005i | ||||
\(378\) | −0.725574 | + | 6.59917i | −0.0373195 | + | 0.339424i | ||||
\(379\) | −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 | ||||
\(381\) | 22.4672 | − | 3.09736i | 1.15103 | − | 0.158683i | ||||
\(382\) | −25.8841 | − | 5.41815i | −1.32435 | − | 0.277217i | ||||
\(383\) | −11.6263 | − | 3.77762i | −0.594077 | − | 0.193027i | −0.00347997 | − | 0.999994i | \(-0.501108\pi\) |
−0.590597 | + | 0.806967i | \(0.701108\pi\) | |||||||
\(384\) | −6.99351 | + | 18.3055i | −0.356886 | + | 0.934148i | ||||
\(385\) | −0.0219319 | + | 0.0332528i | −0.00111775 | + | 0.00169472i | ||||
\(386\) | 20.4825 | − | 18.5576i | 1.04253 | − | 0.944559i | ||||
\(387\) | 0.861943 | − | 21.4494i | 0.0438150 | − | 1.09033i | ||||
\(388\) | 5.53983 | + | 25.2919i | 0.281242 | + | 1.28400i | ||||
\(389\) | 5.49021 | − | 7.55662i | 0.278365 | − | 0.383136i | −0.646827 | − | 0.762637i | \(-0.723904\pi\) |
0.925191 | + | 0.379501i | \(0.123904\pi\) | |||||||
\(390\) | −11.5497 | + | 7.97357i | −0.584844 | + | 0.403758i | ||||
\(391\) | 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 | ||||
\(396\) | 0.0851815 | + | 0.0821052i | 0.00428053 | + | 0.00412594i | ||||
\(397\) | −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 | \(0.138264\pi\) | ||||
−0.907136 | + | 0.420837i | \(0.861736\pi\) | |||||||
\(402\) | 12.2648 | − | 30.3974i | 0.611715 | − | 1.51609i | ||||
\(403\) | 1.48486 | + | 4.56994i | 0.0739662 | + | 0.227645i | ||||
\(404\) | −7.92717 | − | 0.783591i | −0.394391 | − | 0.0389851i | ||||
\(405\) | 0.705565 | − | 20.1122i | 0.0350598 | − | 0.999385i | ||||
\(406\) | 7.85950 | + | 4.50530i | 0.390060 | + | 0.223594i | ||||
\(407\) | 0.0679935i | 0.00337031i | ||||||||
\(408\) | −0.546584 | − | 0.285972i | −0.0270600 | − | 0.0141577i | ||||
\(409\) | −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 | ||||
\(411\) | −5.97723 | + | 33.3852i | −0.294835 | + | 1.64677i | ||||
\(412\) | 6.18575 | − | 1.35490i | 0.304750 | − | 0.0667511i | ||||
\(413\) | 10.9243 | − | 7.93693i | 0.537547 | − | 0.390551i | ||||
\(414\) | 2.12065 | + | 31.2987i | 0.104224 | + | 1.53825i | ||||
\(415\) | 6.88943 | − | 25.0003i | 0.338189 | − | 1.22722i | ||||
\(416\) | −5.69001 | + | 13.3315i | −0.278976 | + | 0.653632i | ||||
\(417\) | 2.05898 | + | 14.9351i | 0.100829 | + | 0.731376i | ||||
\(418\) | −0.0347487 | + | 0.166005i | −0.00169961 | + | 0.00811956i | ||||
\(419\) | −3.53463 | + | 10.8785i | −0.172678 | + | 0.531449i | −0.999520 | − | 0.0309860i | \(-0.990135\pi\) |
0.826842 | + | 0.562435i | \(0.190135\pi\) | |||||||
\(420\) | 5.29770 | − | 4.57242i | 0.258501 | − | 0.223111i | ||||
\(421\) | 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 | ||||
\(423\) | −4.30134 | − | 15.3037i | −0.209139 | − | 0.744093i | ||||
\(424\) | 0.541411 | + | 0.385728i | 0.0262932 | + | 0.0187326i | ||||
\(425\) | −0.139632 | + | 0.613916i | −0.00677314 | + | 0.0297793i | ||||
\(426\) | 6.91063 | + | 27.6620i | 0.334821 | + | 1.34023i | ||||
\(427\) | 4.99085 | + | 3.62606i | 0.241524 | + | 0.175477i | ||||
\(428\) | −17.1828 | − | 1.69850i | −0.830561 | − | 0.0821000i | ||||
\(429\) | 0.0606261 | + | 0.0631113i | 0.00292706 | + | 0.00304704i | ||||
\(430\) | −16.0643 | + | 15.9361i | −0.774688 | + | 0.768508i | ||||
\(431\) | −4.88985 | + | 15.0494i | −0.235536 | + | 0.724905i | 0.761514 | + | 0.648149i | \(0.224456\pi\) |
−0.997050 | + | 0.0767566i | \(0.975544\pi\) | |||||||
\(432\) | −10.4731 | − | 17.9531i | −0.503889 | − | 0.863768i | ||||
\(433\) | −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 | ||||
\(435\) | −24.7743 | − | 11.8472i | −1.18783 | − | 0.568030i | ||||
\(436\) | −11.2585 | − | 19.2244i | −0.539183 | − | 0.920682i | ||||
\(437\) | −36.3824 | + | 26.4334i | −1.74041 | + | 1.26448i | ||||
\(438\) | 8.49144 | − | 10.1293i | 0.405737 | − | 0.483997i | ||||
\(439\) | −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 | ||||
\(441\) | −0.744885 | + | 18.5364i | −0.0354707 | + | 0.882686i | ||||
\(442\) | −0.395872 | − | 0.226926i | −0.0188297 | − | 0.0107938i | ||||
\(443\) | 1.64428i | 0.0781221i | 0.999237 | + | 0.0390611i | \(0.0124367\pi\) | ||||
−0.999237 | + | 0.0390611i | \(0.987563\pi\) | |||||||
\(444\) | 3.25158 | − | 11.4940i | 0.154313 | − | 0.545482i | ||||
\(445\) | 18.5573 | + | 12.2395i | 0.879701 | + | 0.580206i | ||||
\(446\) | −2.68601 | − | 24.8165i | −0.127186 | − | 1.17510i | ||||
\(447\) | −24.1173 | − | 25.1059i | −1.14071 | − | 1.18747i | ||||
\(448\) | 2.10539 | − | 6.91411i | 0.0994704 | − | 0.326661i | ||||
\(449\) | − | 2.49959i | − | 0.117963i | −0.998259 | − | 0.0589815i | \(-0.981215\pi\) | ||
0.998259 | − | 0.0589815i | \(-0.0187853\pi\) | |||||||
\(450\) | −14.9836 | + | 15.0164i | −0.706334 | + | 0.707878i | ||||
\(451\) | 0.0866971i | 0.00408241i | ||||||||
\(452\) | −2.44390 | − | 4.17309i | −0.114952 | − | 0.196285i | ||||
\(453\) | 8.15246 | + | 8.48665i | 0.383036 | + | 0.398738i | ||||
\(454\) | 3.80837 | − | 0.412199i | 0.178736 | − | 0.0193455i | ||||
\(455\) | 4.04587 | − | 3.22899i | 0.189674 | − | 0.151377i | ||||
\(456\) | 13.8128 | − | 26.4007i | 0.646844 | − | 1.23633i | ||||
\(457\) | − | 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 | ||||
\(459\) | 0.599808 | − | 0.261404i | 0.0279966 | − | 0.0122013i | ||||
\(460\) | 20.8333 | − | 25.6792i | 0.971358 | − | 1.19730i | ||||
\(461\) | 5.38319 | − | 7.40933i | 0.250720 | − | 0.345087i | −0.665043 | − | 0.746805i | \(-0.731587\pi\) |
0.915763 | + | 0.401718i | \(0.131587\pi\) | |||||||
\(462\) | −0.0334403 | − | 0.0280331i | −0.00155578 | − | 0.00130422i | ||||
\(463\) | −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 | ||||
\(465\) | 3.45912 | + | 6.38616i | 0.160413 | + | 0.296151i | ||||
\(466\) | −32.6661 | + | 14.6652i | −1.51323 | + | 0.679354i | ||||
\(467\) | −29.8438 | − | 9.69684i | −1.38101 | − | 0.448716i | −0.478006 | − | 0.878356i | \(-0.658640\pi\) |
−0.903000 | + | 0.429640i | \(0.858640\pi\) | |||||||
\(468\) | −7.23048 | − | 13.5680i | −0.334229 | − | 0.627179i | ||||
\(469\) | −3.73592 | + | 11.4980i | −0.172509 | + | 0.530927i | ||||
\(470\) | −7.66708 | + | 14.8997i | −0.353656 | + | 0.687271i | ||||
\(471\) | 20.0032 | + | 20.8232i | 0.921699 | + | 0.959481i | ||||
\(472\) | −12.6896 | + | 40.3249i | −0.584086 | + | 1.85611i | ||||
\(473\) | 0.114148 | + | 0.0829337i | 0.00524855 | + | 0.00381329i | ||||
\(474\) | 1.46651 | − | 0.366370i | 0.0673590 | − | 0.0168279i | ||||
\(475\) | −29.6529 | − | 6.74438i | −1.36057 | − | 0.309454i | ||||
\(476\) | 0.208420 | + | 0.0912529i | 0.00955294 | + | 0.00418257i | ||||
\(477\) | −0.678787 | + | 0.190783i | −0.0310795 | + | 0.00873537i | ||||
\(478\) | −0.475949 | − | 4.39737i | −0.0217694 | − | 0.201131i | ||||
\(479\) | −6.50371 | − | 20.0164i | −0.297162 | − | 0.914571i | −0.982487 | − | 0.186333i | \(-0.940340\pi\) |
0.685324 | − | 0.728238i | \(-0.259660\pi\) | |||||||
\(480\) | −4.80562 | + | 21.3754i | −0.219346 | + | 0.975647i | ||||
\(481\) | 2.73040 | − | 8.40329i | 0.124495 | − | 0.383157i | ||||
\(482\) | 27.7313 | + | 5.80481i | 1.26313 | + | 0.264402i | ||||
\(483\) | −1.58016 | − | 11.4619i | −0.0718998 | − | 0.521536i | ||||
\(484\) | 21.4898 | − | 4.70703i | 0.976807 | − | 0.213956i | ||||
\(485\) | 10.1817 | + | 27.0979i | 0.462329 | + | 1.23045i | ||||
\(486\) | 21.7989 | + | 3.28729i | 0.988820 | + | 0.149115i | ||||
\(487\) | 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 | ||||
\(489\) | −0.430018 | + | 2.40182i | −0.0194461 | + | 0.108614i | ||||
\(490\) | 13.8826 | − | 13.7719i | 0.627153 | − | 0.622150i | ||||
\(491\) | −24.7225 | + | 17.9619i | −1.11571 | + | 0.810611i | −0.983553 | − | 0.180618i | \(-0.942190\pi\) |
−0.132157 | + | 0.991229i | \(0.542190\pi\) | |||||||
\(492\) | 4.14603 | − | 14.6558i | 0.186917 | − | 0.660734i | ||||
\(493\) | − | 0.892824i | − | 0.0402108i | ||||||
\(494\) | 10.9608 | − | 19.1211i | 0.493149 | − | 0.860299i | ||||
\(495\) | 0.107407 | + | 0.0772024i | 0.00482758 | + | 0.00346999i | ||||
\(496\) | 6.54200 | + | 3.66978i | 0.293744 | + | 0.164778i | ||||
\(497\) | −3.24966 | − | 10.0014i | −0.145767 | − | 0.448625i | ||||
\(498\) | 26.3438 | + | 10.6293i | 1.18049 | + | 0.476309i | ||||
\(499\) | − | 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 | 0.0774719 | − | 0.996995i | \(-0.475315\pi\) |
0.648695 | + | 0.761049i | \(0.275315\pi\) | |||||||
\(504\) | 4.31234 | + | 6.33806i | 0.192087 | + | 0.282320i | ||||
\(505\) | −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 | 0.969573 | − | 0.244801i | \(-0.0787228\pi\) |
−0.532435 | + | 0.846471i | \(0.678723\pi\) | |||||||
\(510\) | −0.650608 | − | 0.228861i | −0.0288094 | − | 0.0101341i | ||||
\(511\) | −2.86550 | + | 3.94402i | −0.126762 | + | 0.174473i | ||||
\(512\) | 7.58900 | + | 21.3168i | 0.335390 | + | 0.942079i | ||||
\(513\) | 12.6261 | + | 28.9714i | 0.557458 | + | 1.27912i | ||||
\(514\) | 9.87009 | + | 10.8938i | 0.435351 | + | 0.480506i | ||||
\(515\) | 6.62744 | − | 2.49019i | 0.292040 | − | 0.109731i | ||||
\(516\) | −15.3303 | − | 19.4784i | −0.674877 | − | 0.857489i | ||||
\(517\) | 0.0993714 | + | 0.0322877i | 0.00437035 | + | 0.00142001i | ||||
\(518\) | −0.902653 | + | 4.31224i | −0.0396603 | + | 0.189469i | ||||
\(519\) | −3.77588 | + | 0.520549i | −0.165743 | + | 0.0228495i | ||||
\(520\) | −4.16017 | + | 15.6629i | −0.182436 | + | 0.686862i | ||||
\(521\) | 3.18214 | − | 1.03394i | 0.139412 | − | 0.0452978i | −0.238480 | − | 0.971147i | \(-0.576649\pi\) |
0.377892 | + | 0.925850i | \(0.376649\pi\) | |||||||
\(522\) | 15.9963 | − | 25.4767i | 0.700138 | − | 1.11509i | ||||
\(523\) | 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 | ||||
\(525\) | 5.12935 | − | 5.90810i | 0.223863 | − | 0.257850i | ||||
\(526\) | −2.88293 | + | 13.7726i | −0.125702 | + | 0.600514i | ||||
\(527\) | −0.138794 | + | 0.191033i | −0.00604595 | + | 0.00832153i | ||||
\(528\) | 0.136366 | + | 0.00819992i | 0.00593456 | + | 0.000356856i | ||||
\(529\) | −9.78734 | − | 30.1223i | −0.425537 | − | 1.30967i | ||||
\(530\) | 0.660866 | + | 0.340068i | 0.0287062 | + | 0.0147716i | ||||
\(531\) | −24.8778 | − | 37.3043i | −1.07960 | − | 1.61887i | ||||
\(532\) | −4.40762 | + | 10.0670i | −0.191095 | + | 0.436458i | ||||
\(533\) | 3.48147 | − | 10.7149i | 0.150799 | − | 0.464112i | ||||
\(534\) | −15.6444 | + | 18.6619i | −0.676998 | + | 0.807580i | ||||
\(535\) | −19.2848 | + | 0.873421i | −0.833754 | + | 0.0377613i | ||||
\(536\) | −12.0299 | − | 35.8867i | −0.519611 | − | 1.55007i | ||||
\(537\) | 14.7618 | + | 7.89882i | 0.637018 | + | 0.340859i | ||||
\(538\) | −10.4270 | − | 23.2256i | −0.449538 | − | 1.00133i | ||||
\(539\) | −0.0986463 | − | 0.0716707i | −0.00424900 | − | 0.00308708i | ||||
\(540\) | −14.4647 | − | 18.1871i | −0.622462 | − | 0.782650i | ||||
\(541\) | −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 | ||||
\(546\) | 3.00715 | + | 4.80745i | 0.128694 | + | 0.205740i | ||||
\(547\) | −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 | ||||||||
\(552\) | 25.3359 | + | 25.8889i | 1.07837 | + | 1.10190i | ||||
\(553\) | −0.530229 | + | 0.172282i | −0.0225476 | + | 0.00732617i | ||||
\(554\) | 20.8553 | − | 2.25727i | 0.886055 | − | 0.0959021i | ||||
\(555\) | 1.75644 | − | 13.2390i | 0.0745569 | − | 0.561965i | ||||
\(556\) | 13.0091 | + | 11.5684i | 0.551707 | + | 0.490609i | ||||
\(557\) | −0.414052 | −0.0175439 | −0.00877197 | − | 0.999962i | \(-0.502792\pi\) | ||||
−0.00877197 | + | 0.999962i | \(0.502792\pi\) | |||||||
\(558\) | −7.38311 | + | 2.96443i | −0.312552 | + | 0.125494i | ||||
\(559\) | −10.7772 | − | 14.8336i | −0.455828 | − | 0.627393i | ||||
\(560\) | 1.22192 | − | 7.98773i | 0.0516355 | − | 0.337543i | ||||
\(561\) | −0.000757906 | 0.00423321i | −3.19988e−5 | 0.000178726i | ||||||
\(562\) | −1.92582 | − | 4.28968i | −0.0812359 | − | 0.180949i | ||||
\(563\) | 9.46697 | + | 13.0302i | 0.398985 | + | 0.549156i | 0.960489 | − | 0.278318i | \(-0.0897769\pi\) |
−0.561504 | + | 0.827474i | \(0.689777\pi\) | |||||||
\(564\) | −15.2543 | − | 10.2102i | −0.642320 | − | 0.429929i | ||||
\(565\) | −3.37273 | − | 4.22597i | −0.141892 | − | 0.177788i | ||||
\(566\) | 2.11731 | − | 0.950549i | 0.0889970 | − | 0.0399546i | ||||
\(567\) | −8.10478 | − | 0.652435i | −0.340369 | − | 0.0273997i | ||||
\(568\) | 26.8138 | + | 19.1035i | 1.12508 | + | 0.801563i | ||||
\(569\) | −1.80110 | − | 0.585212i | −0.0755060 | − | 0.0245334i | 0.271020 | − | 0.962574i | \(-0.412639\pi\) |
−0.346526 | + | 0.938040i | \(0.612639\pi\) | |||||||
\(570\) | 11.0542 | − | 31.4252i | 0.463011 | − | 1.31626i | ||||
\(571\) | −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 | ||||
\(573\) | 5.70803 | − | 31.8816i | 0.238456 | − | 1.33187i | ||||
\(574\) | −1.15095 | + | 5.49845i | −0.0480399 | + | 0.229501i | ||||
\(575\) | 18.9380 | − | 31.7516i | 0.789769 | − | 1.32413i | ||||
\(576\) | −22.6599 | − | 7.90745i | −0.944164 | − | 0.329477i | ||||
\(577\) | 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 | ||||
\(579\) | 23.4507 | + | 24.4120i | 0.974577 | + | 1.01453i | ||||
\(580\) | −30.6365 | + | 8.17918i | −1.27211 | + | 0.339622i | ||||
\(581\) | −9.96467 | − | 3.23772i | −0.413404 | − | 0.134323i | ||||
\(582\) | −30.7650 | + | 7.68583i | −1.27525 | + | 0.318588i | ||||
\(583\) | 0.00143210 | − | 0.00440755i | 5.93116e−5 | − | 0.000182542i | ||||
\(584\) | −0.141733 | − | 15.2618i | −0.00586497 | − | 0.631539i | ||||
\(585\) | −10.1742 | − | 13.8545i | −0.420651 | − | 0.572814i | ||||
\(586\) | −15.7455 | − | 17.3787i | −0.650441 | − | 0.717907i | ||||
\(587\) | −9.14257 | − | 12.5837i | −0.377354 | − | 0.519384i | 0.577527 | − | 0.816372i | \(-0.304018\pi\) |
−0.954881 | + | 0.296988i | \(0.904018\pi\) | |||||||
\(588\) | 13.2483 | + | 16.8331i | 0.546351 | + | 0.694185i | ||||
\(589\) | −9.22713 | − | 6.70390i | −0.380197 | − | 0.276229i | ||||
\(590\) | −7.58064 | + | 46.6524i | −0.312090 | + | 1.92065i | ||||
\(591\) | 6.86922 | + | 3.67562i | 0.282562 | + | 0.151195i | ||||
\(592\) | −5.76571 | − | 12.5301i | −0.236969 | − | 0.514984i | ||||
\(593\) | −23.6667 | −0.971874 | −0.485937 | − | 0.873994i | \(-0.661522\pi\) | ||||
−0.485937 | + | 0.873994i | \(0.661522\pi\) | |||||||
\(594\) | −0.0974710 | + | 0.107215i | −0.00399928 | + | 0.00439910i | ||||
\(595\) | 0.245236 | + | 0.0675805i | 0.0100537 | + | 0.00277053i | ||||
\(596\) | −40.0037 | − | 3.95432i | −1.63861 | − | 0.161975i | ||||
\(597\) | −22.8476 | − | 23.7842i | −0.935090 | − | 0.973421i | ||||
\(598\) | 17.9905 | + | 19.8565i | 0.735686 | + | 0.811993i | ||||
\(599\) | −6.90906 | −0.282297 | −0.141148 | − | 0.989988i | \(-0.545079\pi\) | ||||
−0.141148 | + | 0.989988i | \(0.545079\pi\) | |||||||
\(600\) | −1.89292 | + | 24.4216i | −0.0772782 | + | 0.997010i | ||||
\(601\) | 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 | ||||
\(603\) | 37.6515 | + | 13.9286i | 1.53329 | + | 0.567217i | ||||
\(604\) | 13.5226 | + | 1.33669i | 0.550227 | + | 0.0543893i | ||||
\(605\) | 23.0242 | − | 8.65112i | 0.936068 | − | 0.351718i | ||||
\(606\) | 0.676003 | − | 9.73263i | 0.0274608 | − | 0.395361i | ||||
\(607\) | 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 | ||||
\(609\) | −5.23463 | + | 9.78279i | −0.212118 | + | 0.396419i | ||||
\(610\) | −21.3406 | + | 3.29247i | −0.864056 | + | 0.133308i | ||||
\(611\) | −10.9847 | − | 7.98086i | −0.444394 | − | 0.322871i | ||||
\(612\) | 0.330561 | − | 0.679361i | 0.0133621 | − | 0.0274615i | ||||
\(613\) | −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 | ||||
\(615\) | 2.23961 | − | 16.8808i | 0.0903096 | − | 0.680699i | ||||
\(616\) | −0.0503844 | 0.000467910i | −0.00203005 | 1.88526e-5i | ||||||
\(617\) | −6.53889 | + | 20.1246i | −0.263246 | + | 0.810187i | 0.728847 | + | 0.684677i | \(0.240057\pi\) |
−0.992092 | + | 0.125510i | \(0.959943\pi\) | |||||||
\(618\) | 1.87976 | + | 7.52432i | 0.0756149 | + | 0.302672i | ||||
\(619\) | −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 | ||||
\(621\) | −38.2408 | + | 3.71465i | −1.53455 | + | 0.149064i | ||||
\(622\) | 3.08113 | + | 28.4670i | 0.123542 | + | 1.14142i | ||||
\(623\) | 5.27930 | − | 7.26634i | 0.211511 | − | 0.291120i | ||||
\(624\) | −16.5241 | − | 6.48943i | −0.661494 | − | 0.259785i | ||||
\(625\) | 24.5914 | − | 4.50129i | 0.983657 | − | 0.180052i | ||||
\(626\) | 7.49678 | − | 35.8143i | 0.299632 | − | 1.43143i | ||||
\(627\) | −0.204469 | − | 0.0366078i | −0.00816570 | − | 0.00146197i | ||||
\(628\) | 33.1796 | + | 3.27976i | 1.32401 | + | 0.130877i | ||||
\(629\) | 0.412949 | − | 0.134175i | 0.0164654 | − | 0.00534992i | ||||
\(630\) | 5.78699 | + | 6.32217i | 0.230559 | + | 0.251881i | ||||
\(631\) | −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 | ||||
\(633\) | −2.56178 | − | 18.5823i | −0.101822 | − | 0.738580i | ||||
\(634\) | 14.1045 | − | 6.33211i | 0.560160 | − | 0.251480i | ||||
\(635\) | 16.1206 | − | 24.4419i | 0.639728 | − | 0.969948i | ||||
\(636\) | −0.452869 | + | 0.676593i | −0.0179574 | + | 0.0268286i | ||||
\(637\) | 9.31360 | + | 12.8191i | 0.369018 | + | 0.507910i | ||||
\(638\) | 0.0809801 | + | 0.180379i | 0.00320603 | + | 0.00714129i | ||||
\(639\) | −33.6175 | + | 9.44869i | −1.32989 | + | 0.373784i | ||||
\(640\) | 11.8123 | + | 22.3712i | 0.466922 | + | 0.884298i | ||||
\(641\) | −6.26340 | − | 8.62083i | −0.247390 | − | 0.340502i | 0.667205 | − | 0.744874i | \(-0.267490\pi\) |
−0.914595 | + | 0.404371i | \(0.867490\pi\) | |||||||
\(642\) | 1.46529 | − | 21.0963i | 0.0578305 | − | 0.832603i | ||||
\(643\) | 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 | ||||
\(645\) | −20.0835 | − | 19.0968i | −0.790785 | − | 0.751934i | ||||
\(646\) | 1.07678 | − | 0.116545i | 0.0423653 | − | 0.00458541i | ||||
\(647\) | 14.0477 | − | 4.56436i | 0.552270 | − | 0.179444i | −0.0195699 | − | 0.999808i | \(-0.506230\pi\) |
0.571840 | + | 0.820365i | \(0.306230\pi\) | |||||||
\(648\) | 21.6043 | − | 13.4630i | 0.848698 | − | 0.528878i | ||||
\(649\) | 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 | \(-0.861817\pi\) |
0.486749 | − | 0.873542i | \(-0.338183\pi\) | |||||||
\(654\) | 23.1326 | − | 14.4699i | 0.904557 | − | 0.565818i | ||||
\(655\) | 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 | −0.968961 | − | 0.247213i | \(-0.920485\pi\) |
−0.0643116 | + | 0.997930i | \(0.520485\pi\) | |||||||
\(660\) | 0.152202 | − | 0.0127736i | 0.00592445 | − | 0.000497210i | ||||
\(661\) | 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 | ||||
\(663\) | 0.263661 | − | 0.492745i | 0.0102397 | − | 0.0191366i | ||||
\(664\) | 31.1011 | − | 10.4256i | 1.20696 | − | 0.404593i | ||||
\(665\) | −3.26422 | + | 11.8452i | −0.126581 | + | 0.459336i | ||||
\(666\) | 14.1874 | + | 3.56991i | 0.549752 | + | 0.138331i | ||||
\(667\) | −16.2010 | + | 49.8615i | −0.627305 | + | 1.93064i | ||||
\(668\) | −0.190913 | + | 0.436043i | −0.00738664 | + | 0.0168710i | ||||
\(669\) | 30.2850 | − | 4.17513i | 1.17088 | − | 0.161420i | ||||
\(670\) | −19.0603 | − | 37.7812i | −0.736364 | − | 1.45962i | ||||
\(671\) | 0.0416070 | + | 0.128053i | 0.00160622 | + | 0.00494343i | ||||
\(672\) | 8.53965 | + | 2.33039i | 0.329424 | + | 0.0898966i | ||||
\(673\) | 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 | ||||
\(675\) | −18.9188 | − | 17.8067i | −0.728187 | − | 0.685379i | ||||
\(676\) | 11.7880 | + | 5.16116i | 0.453385 | + | 0.198506i | ||||
\(677\) | 23.8114 | + | 17.3000i | 0.915145 | + | 0.664891i | 0.942311 | − | 0.334739i | \(-0.108648\pi\) |
−0.0271662 | + | 0.999631i | \(0.508648\pi\) | |||||||
\(678\) | 5.02145 | − | 3.14101i | 0.192848 | − | 0.120630i | ||||
\(679\) | 11.1233 | − | 3.61419i | 0.426874 | − | 0.138700i | ||||
\(680\) | −0.742861 | + | 0.287023i | −0.0284874 | + | 0.0110068i | ||||
\(681\) | 0.640721 | + | 4.64757i | 0.0245525 | + | 0.178095i | ||||
\(682\) | 0.0107139 | − | 0.0511836i | 0.000410257 | − | 0.00195992i | ||||
\(683\) | 39.4244 | + | 12.8098i | 1.50853 | + | 0.490152i | 0.942493 | − | 0.334225i | \(-0.108474\pi\) |
0.566041 | + | 0.824377i | \(0.308474\pi\) | |||||||
\(684\) | 32.8140 | + | 15.9665i | 1.25467 | + | 0.610494i | ||||
\(685\) | 27.3128 | + | 34.2224i | 1.04357 | + | 1.30757i | ||||
\(686\) | −11.3098 | − | 12.4829i | −0.431811 | − | 0.476600i | ||||
\(687\) | −14.5846 | − | 7.80398i | −0.556435 | − | 0.297741i | ||||
\(688\) | −28.0683 | − | 5.60380i | −1.07009 | − | 0.213643i | ||||
\(689\) | −0.353986 | + | 0.487220i | −0.0134858 | + | 0.0185616i | ||||
\(690\) | 32.1816 | + | 24.5870i | 1.22513 | + | 0.936009i | ||||
\(691\) | 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 | ||||
\(696\) | −5.06324 | − | 34.3650i | −0.191922 | − | 1.30260i | ||||
\(697\) | 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 | \(0.0265526\pi\) | ||||
−0.996523 | + | 0.0833207i | \(0.973447\pi\) | |||||||
\(702\) | 16.3518 | − | 9.33659i | 0.617160 | − | 0.352387i | ||||
\(703\) | 6.48083 | + | 19.9459i | 0.244429 | + | 0.752275i | ||||
\(704\) | 0.125875 | − | 0.0950749i | 0.00474410 | − | 0.00358327i | ||||
\(705\) | −18.5145 | − | 8.85376i | −0.697297 | − | 0.333452i | ||||
\(706\) | 8.78503 | − | 15.3255i | 0.330629 | − | 0.576782i | ||||
\(707\) | 3.59833i | 0.135329i | ||||||||
\(708\) | −49.8202 | − | 14.0938i | −1.87236 | − | 0.529678i | ||||
\(709\) | 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 | ||||
\(711\) | 0.500926 | + | 1.78224i | 0.0187862 | + | 0.0668393i | ||||
\(712\) | 0.261125 | + | 28.1179i | 0.00978608 | + | 1.05376i | ||||
\(713\) | 11.2176 | − | 8.15009i | 0.420104 | − | 0.305223i | ||||
\(714\) | −0.104266 | + | 0.258414i | −0.00390205 | + | 0.00967091i | ||||
\(715\) | 0.112863 | − | 0.00511166i | 0.00422085 | − | 0.000191165i | ||||
\(716\) | 18.8845 | − | 4.13639i | 0.705748 | − | 0.154584i | ||||
\(717\) | 5.36636 | − | 0.739814i | 0.200410 | − | 0.0276289i | ||||
\(718\) | −27.5454 | − | 5.76589i | −1.02798 | − | 0.215181i | ||||
\(719\) | −8.16195 | + | 25.1199i | −0.304389 | + | 0.936814i | 0.675515 | + | 0.737346i | \(0.263921\pi\) |
−0.979904 | + | 0.199468i | \(0.936079\pi\) | |||||||
\(720\) | −26.3399 | − | 5.11928i | −0.981632 | − | 0.190784i | ||||
\(721\) | −0.883938 | − | 2.72048i | −0.0329196 | − | 0.101316i | ||||
\(722\) | 2.73788 | + | 25.2957i | 0.101893 | + | 0.941409i | ||||
\(723\) | −6.11537 | + | 34.1568i | −0.227433 | + | 1.27030i | ||||
\(724\) | −11.5365 | − | 5.05103i | −0.428751 | − | 0.187720i | ||||
\(725\) | −32.5888 | + | 13.9584i | −1.21032 | + | 0.518402i | ||||
\(726\) | 6.53042 | + | 26.1401i | 0.242367 | + | 0.970148i | ||||
\(727\) | −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 | ||||
\(729\) | −3.24537 | + | 26.8042i | −0.120199 | + | 0.992750i | ||||
\(730\) | −2.60188 | − | 16.8644i | −0.0962999 | − | 0.624181i | ||||
\(731\) | 0.278431 | − | 0.856923i | 0.0102981 | − | 0.0316944i | ||||
\(732\) | −0.909729 | − | 23.6366i | −0.0336245 | − | 0.873633i | ||||
\(733\) | 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 | ||||
\(735\) | 17.3560 | + | 16.5033i | 0.640185 | + | 0.608733i | ||||
\(736\) | 41.6608 | + | 3.72780i | 1.53564 | + | 0.137409i | ||||
\(737\) | −0.213471 | + | 0.155096i | −0.00786331 | + | 0.00571303i | ||||
\(738\) | 18.0901 | + | 4.55192i | 0.665906 | + | 0.167559i | ||||
\(739\) | 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 | ||||
\(741\) | 23.8002 | + | 12.7351i | 0.874322 | + | 0.467837i | ||||
\(742\) | 0.149339 | − | 0.260521i | 0.00548240 | − | 0.00956404i | ||||
\(743\) | − | 23.5056i | − | 0.862336i | −0.902272 | − | 0.431168i | \(-0.858102\pi\) | ||
0.902272 | − | 0.431168i | \(-0.141898\pi\) | |||||||
\(744\) | −4.25885 | + | 8.14001i | −0.156137 | + | 0.298427i | ||||
\(745\) | −44.8974 | + | 2.03343i | −1.64491 | + | 0.0744993i | ||||
\(746\) | −34.6237 | + | 3.74749i | −1.26766 | + | 0.137205i | ||||
\(747\) | −12.0712 | + | 32.6305i | −0.441661 | + | 1.19389i | ||||
\(748\) | 0.00250948 | + | 0.00428506i | 9.17557e−5 | + | 0.000156677i | ||||
\(749\) | 7.79967i | 0.284994i | ||||||||
\(750\) | 1.81801 | + | 27.3257i | 0.0663843 | + | 0.997794i | ||||
\(751\) | − | 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 | ||||
\(753\) | −13.4486 | + | 12.9191i | −0.490095 | + | 0.470796i | ||||
\(754\) | −2.76486 | − | 25.5449i | −0.100690 | − | 0.930292i | ||||
\(755\) | 15.1769 | − | 0.687371i | 0.552343 | − | 0.0250160i | ||||
\(756\) | −7.60509 | + | 5.50576i | −0.276595 | + | 0.200243i | ||||
\(757\) | − | 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 | ||||
\(759\) | 0.119141 | − | 0.222659i | 0.00432456 | − | 0.00808200i | ||||
\(760\) | −13.8635 | − | 35.8811i | −0.502883 | − | 1.30154i | ||||
\(761\) | 6.35636 | − | 8.74878i | 0.230418 | − | 0.317143i | −0.678115 | − | 0.734955i | \(-0.737203\pi\) |
0.908533 | + | 0.417812i | \(0.137203\pi\) | |||||||
\(762\) | 24.5797 | + | 20.6053i | 0.890429 | + | 0.746450i | ||||
\(763\) | −8.14169 | + | 5.91529i | −0.294749 | + | 0.214148i | ||||
\(764\) | −18.8997 | − | 32.2722i | −0.683767 | − | 1.16757i | ||||
\(765\) | 0.256926 | − | 0.804669i | 0.00928919 | − | 0.0290929i | ||||
\(766\) | −7.08062 | − | 15.7718i | −0.255833 | − | 0.569857i | ||||
\(767\) | −36.4236 | − | 11.8348i | −1.31518 | − | 0.427328i | ||||
\(768\) | −25.8254 | + | 10.0524i | −0.931892 | + | 0.362735i | ||||
\(769\) | −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 | ||||
\(771\) | −12.9838 | + | 12.4725i | −0.467599 | + | 0.449186i | ||||
\(772\) | 38.8980 | + | 3.84502i | 1.39997 | + | 0.138385i | ||||
\(773\) | 38.2541 | + | 27.7932i | 1.37590 | + | 0.999653i | 0.997250 | + | 0.0741149i | \(0.0236131\pi\) |
0.378655 | + | 0.925538i | \(0.376387\pi\) | |||||||
\(774\) | 23.2981 | − | 19.4637i | 0.837432 | − | 0.699610i | ||||
\(775\) | 9.14275 | + | 2.07947i | 0.328417 | + | 0.0746967i | ||||
\(776\) | −21.2464 | + | 29.8216i | −0.762701 | + | 1.07053i | ||||
\(777\) | −5.31141 | − | 0.950945i | −0.190546 | − | 0.0341150i | ||||
\(778\) | 13.1328 | − | 1.42142i | 0.470832 | − | 0.0509605i | ||||
\(779\) | 8.26357 | + | 25.4327i | 0.296073 | + | 0.911220i | ||||
\(780\) | −19.3235 | − | 4.53325i | −0.691893 | − | 0.162316i | ||||
\(781\) | 0.0709259 | − | 0.218288i | 0.00253793 | − | 0.00781094i | ||||
\(782\) | −0.269772 | + | 1.28878i | −0.00964702 | + | 0.0460867i | ||||
\(783\) | 31.7608 | + | 18.6726i | 1.13504 | + | 0.667303i | ||||
\(784\) | 24.2565 | + | 4.84276i | 0.866302 | + | 0.172956i | ||||
\(785\) | 37.2385 | − | 1.68656i | 1.32910 | − | 0.0601959i | ||||
\(786\) | −17.0746 | + | 42.3181i | −0.609032 | + | 1.50944i | ||||
\(787\) | −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 | ||||
\(789\) | −16.9638 | − | 3.03716i | −0.603926 | − | 0.108126i | ||||
\(790\) | 0.892893 | − | 1.73519i | 0.0317677 | − | 0.0617352i | ||||
\(791\) | −1.76734 | + | 1.28404i | −0.0628392 | + | 0.0456554i | ||||
\(792\) | −0.00516534 | + | 0.167235i | −0.000183542 | + | 0.00594244i | ||||
\(793\) | − | 17.4968i | − | 0.621331i | ||||||
\(794\) | −28.7701 | − | 16.4919i | −1.02101 | − | 0.585276i | ||||
\(795\) | −0.392703 | + | 0.821200i | −0.0139277 | + | 0.0291250i | ||||
\(796\) | −37.8977 | − | 3.74614i | −1.34325 | − | 0.132778i | ||||
\(797\) | 11.8944 | + | 36.6073i | 0.421323 | + | 1.29670i | 0.906471 | + | 0.422267i | \(0.138766\pi\) |
−0.485149 | + | 0.874432i | \(0.661234\pi\) | |||||||
\(798\) | −12.4817 | − | 5.03616i | −0.441848 | − | 0.178278i | ||||
\(799\) | − | 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 | ||||
\(804\) | 43.5034 | − | 16.0097i | 1.53425 | − | 0.564618i | ||||
\(805\) | −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 | 0.464533 | − | 0.885556i | \(-0.346222\pi\) |
−0.985762 | + | 0.168146i | \(0.946222\pi\) | |||||||
\(810\) | 21.7482 | − | 18.3580i | 0.764154 | − | 0.645033i | ||||
\(811\) | −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 | ||||
\(813\) | −26.6597 | + | 49.8233i | −0.934998 | + | 1.74738i | ||||
\(814\) | −0.0712593 | + | 0.0645627i | −0.00249764 | + | 0.00226292i | ||||
\(815\) | 1.96496 | + | 2.46206i | 0.0688294 | + | 0.0862421i | ||||
\(816\) | −0.219297 | − | 0.844380i | −0.00767693 | − | 0.0295592i | ||||
\(817\) | 41.3904 | + | 13.4486i | 1.44807 | + | 0.470505i | ||||
\(818\) | −1.01906 | − | 0.213312i | −0.0356305 | − | 0.00745830i | ||||
\(819\) | −5.77793 | + | 3.85323i | −0.201897 | + | 0.134643i | ||||
\(820\) | −10.6943 | − | 16.5006i | −0.373460 | − | 0.576224i | ||||
\(821\) | 45.0060 | − | 14.6233i | 1.57072 | − | 0.510358i | 0.611076 | − | 0.791572i | \(-0.290737\pi\) |
0.959645 | + | 0.281213i | \(0.0907369\pi\) | |||||||
\(822\) | −40.6643 | + | 25.4363i | −1.41833 | + | 0.887194i | ||||
\(823\) | 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 | ||||
\(825\) | 0.166364 | − | 0.0385177i | 0.00579206 | − | 0.00134101i | ||||
\(826\) | 18.6912 | + | 3.91250i | 0.650350 | + | 0.136133i | ||||
\(827\) | −9.93542 | + | 13.6749i | −0.345488 | + | 0.475524i | −0.946034 | − | 0.324066i | \(-0.894950\pi\) |
0.600546 | + | 0.799590i | \(0.294950\pi\) | |||||||
\(828\) | −30.7884 | + | 31.9419i | −1.06997 | + | 1.11006i | ||||
\(829\) | −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 | ||||
\(831\) | 3.50869 | + | 25.4508i | 0.121715 | + | 0.882879i | ||||
\(832\) | −19.3748 | + | 6.69555i | −0.671699 | + | 0.232126i | ||||
\(833\) | −0.240618 | + | 0.740547i | −0.00833693 | + | 0.0256584i | ||||
\(834\) | −13.6974 | + | 16.3394i | −0.474302 | + | 0.565787i | ||||
\(835\) | −0.141387 | + | 0.513065i | −0.00489291 | + | 0.0177554i | ||||
\(836\) | −0.206974 | + | 0.121211i | −0.00715833 | + | 0.00419217i | ||||
\(837\) | −3.89296 | − | 8.93264i | −0.134561 | − | 0.308757i | ||||
\(838\) | −14.7573 | + | 6.62518i | −0.509782 | + | 0.228863i | ||||
\(839\) | −0.0181263 | − | 0.0131695i | −0.000625789 | − | 0.000454663i | 0.587472 | − | 0.809244i | \(-0.300123\pi\) |
−0.588098 | + | 0.808790i | \(0.700123\pi\) | |||||||
\(840\) | 9.82243 | + | 1.21045i | 0.338906 | + | 0.0417645i | ||||
\(841\) | 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 | ||||
\(846\) | 11.9545 | − | 19.0395i | 0.411004 | − | 0.654591i | ||||
\(847\) | −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 | ||||||||
\(852\) | −22.4287 | + | 33.5088i | −0.768394 | + | 1.14799i | ||||
\(853\) | 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 | ||||
\(855\) | 38.8665 | + | 12.4098i | 1.32920 | + | 0.424408i | ||||
\(856\) | −14.5357 | − | 19.6209i | −0.496820 | − | 0.670628i | ||||
\(857\) | 24.3226 | 0.830845 | 0.415422 | − | 0.909629i | \(-0.363634\pi\) | ||||
0.415422 | + | 0.909629i | \(0.363634\pi\) | |||||||
\(858\) | −0.00857555 | + | 0.123465i | −0.000292765 | + | 0.00421502i | ||||
\(859\) | 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 | ||||
\(861\) | −6.77247 | − | 1.21253i | −0.230805 | − | 0.0413229i | ||||
\(862\) | −20.4154 | + | 9.16534i | −0.695351 | + | 0.312173i | ||||
\(863\) | −24.4611 | − | 33.6678i | −0.832664 | − | 1.14606i | −0.987421 | − | 0.158111i | \(-0.949460\pi\) |
0.154757 | − | 0.987953i | \(-0.450540\pi\) | |||||||
\(864\) | 8.87070 | − | 28.0234i | 0.301787 | − | 0.953375i | ||||
\(865\) | −2.70926 | + | 4.10775i | −0.0921177 | + | 0.139668i | ||||
\(866\) | −10.1115 | − | 22.5230i | −0.343603 | − | 0.765361i | ||||
\(867\) | −29.1418 | + | 4.01753i | −0.989707 | + | 0.136442i | ||||
\(868\) | 1.35898 | − | 3.10390i | 0.0461269 | − | 0.105353i | ||||
\(869\) | −0.0115726 | − | 0.00376016i | −0.000392573 | − | 0.000127555i | ||||
\(870\) | −11.1080 | − | 37.2136i | −0.376596 | − | 1.26166i | ||||
\(871\) | 32.6110 | − | 10.5960i | 1.10498 | − | 0.359030i | ||||
\(872\) | 9.45737 | − | 30.0536i | 0.320267 | − | 1.01774i | ||||
\(873\) | −10.5086 | − | 37.3885i | −0.355662 | − | 1.26541i | ||||
\(874\) | −62.2496 | − | 13.0303i | −2.10563 | − | 0.440757i | ||||
\(875\) | −1.36727 | − | 10.0078i | −0.0462222 | − | 0.338327i | ||||
\(876\) | 18.6788 | − | 0.718914i | 0.631099 | − | 0.0242899i | ||||
\(877\) | −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 | ||||
\(879\) | 20.7127 | − | 19.8971i | 0.698622 | − | 0.671112i | ||||
\(880\) | 0.124049 | − | 0.125366i | 0.00418168 | − | 0.00422609i | ||||
\(881\) | −24.1860 | − | 7.85851i | −0.814847 | − | 0.264760i | −0.128198 | − | 0.991749i | \(-0.540919\pi\) |
−0.686649 | + | 0.726989i | \(0.740919\pi\) | |||||||
\(882\) | −20.1340 | + | 16.8204i | −0.677948 | + | 0.566374i | ||||
\(883\) | 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 | ||||
\(885\) | −57.3838 | − | 7.61322i | −1.92894 | − | 0.255915i | ||||
\(886\) | −1.72326 | + | 1.56131i | −0.0578940 | + | 0.0524534i | ||||
\(887\) | 7.23246 | + | 9.95463i | 0.242842 | + | 0.334244i | 0.912988 | − | 0.407985i | \(-0.133769\pi\) |
−0.670146 | + | 0.742229i | \(0.733769\pi\) | |||||||
\(888\) | 15.1336 | − | 7.50629i | 0.507850 | − | 0.251895i | ||||
\(889\) | −9.57053 | − | 6.95340i | −0.320985 | − | 0.233210i | ||||
\(890\) | 4.79362 | + | 31.0705i | 0.160682 | + | 1.04149i | ||||
\(891\) | −0.134739 | − | 0.115495i | −0.00451392 | − | 0.00386922i | ||||
\(892\) | 23.4580 | − | 26.3793i | 0.785431 | − | 0.883246i | ||||
\(893\) | 32.2282 | 1.07848 | ||||||||
\(894\) | 3.41138 | − | 49.1147i | 0.114094 | − | 1.64264i | ||||
\(895\) | 20.2330 | − | 7.60234i | 0.676314 | − | 0.254118i | ||||
\(896\) | 9.24536 | − | 4.35872i | 0.308866 | − | 0.145615i | ||||
\(897\) | −23.6659 | + | 22.7340i | −0.790181 | + | 0.759066i | ||||
\(898\) | 2.61965 | − | 2.37347i | 0.0874188 | − | 0.0792036i | ||||
\(899\) | −13.2964 | −0.443460 | ||||||||
\(900\) | −29.9652 | − | 1.44462i | −0.998840 | − | 0.0481540i | ||||
\(901\) | −0.0295947 | −0.000985943 | ||||||||
\(902\) | −0.0908613 | + | 0.0823226i | −0.00302535 | + | 0.00274104i | ||||
\(903\) | −8.07494 | + | 7.75697i | −0.268717 | + | 0.258136i | ||||
\(904\) | 2.05293 | − | 6.52381i | 0.0682796 | − | 0.216979i | ||||
\(905\) | −13.5743 | − | 3.74072i | −0.451225 | − | 0.124346i | ||||
\(906\) | −1.15316 | + | 16.6025i | −0.0383113 | + | 0.551580i | ||||
\(907\) | 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 | ||||
\(909\) | 11.9391 | + | 0.479771i | 0.395994 | + | 0.0159130i | ||||
\(910\) | 7.22581 | + | 1.17414i | 0.239533 | + | 0.0389223i | ||||
\(911\) | −9.76979 | − | 7.09817i | −0.323688 | − | 0.235173i | 0.414060 | − | 0.910250i | \(-0.364110\pi\) |
−0.737747 | + | 0.675077i | \(0.764110\pi\) | |||||||
\(912\) | 40.7846 | − | 10.5923i | 1.35051 | − | 0.350746i | ||||
\(913\) | −0.134413 | − | 0.185004i | −0.00444843 | − | 0.00612274i | ||||
\(914\) | 18.8766 | − | 17.1026i | 0.624381 | − | 0.565705i | ||||
\(915\) | −4.79336 | − | 26.0080i | −0.158463 | − | 0.859799i | ||||
\(916\) | −18.6578 | + | 4.08673i | −0.616471 | + | 0.135029i | ||||
\(917\) | 5.20099 | − | 16.0070i | 0.171752 | − | 0.528598i | ||||
\(918\) | 0.843503 | + | 0.380403i | 0.0278397 | + | 0.0125552i | ||||
\(919\) | 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 | ||||
\(921\) | −26.7326 | + | 25.6799i | −0.880868 | + | 0.846182i | ||||
\(922\) | 12.8768 | − | 1.39372i | 0.424074 | − | 0.0458996i | ||||
\(923\) | −17.5314 | + | 24.1299i | −0.577054 | + | 0.794246i | ||||
\(924\) | −0.00237338 | − | 0.0616651i | −7.80784e−5 | − | 0.00202863i | ||||
\(925\) | −11.3535 | − | 12.9753i | −0.373302 | − | 0.426624i | ||||
\(926\) | −42.6442 | − | 8.92643i | −1.40138 | − | 0.293341i | ||||
\(927\) | −9.14427 | + | 2.57013i | −0.300337 | + | 0.0844142i | ||||
\(928\) | −30.2191 | − | 26.3741i | −0.991992 | − | 0.865772i | ||||
\(929\) | 28.4310 | − | 9.23780i | 0.932792 | − | 0.303082i | 0.197088 | − | 0.980386i | \(-0.436852\pi\) |
0.735704 | + | 0.677303i | \(0.236852\pi\) | |||||||
\(930\) | −3.40831 | + | 9.68919i | −0.111763 | + | 0.317721i | ||||
\(931\) | −35.7693 | − | 11.6221i | −1.17229 | − | 0.380901i | ||||
\(932\) | −46.3875 | − | 20.3099i | −1.51947 | − | 0.665272i | ||||
\(933\) | −34.7399 | + | 4.78929i | −1.13733 | + | 0.156794i | ||||
\(934\) | −18.1754 | − | 40.4848i | −0.594716 | − | 1.32470i | ||||
\(935\) | 0.00346323 | + | 0.00433937i | 0.000113260 | + | 0.000141913i | ||||
\(936\) | 7.35400 | − | 20.4611i | 0.240373 | − | 0.668793i | ||||
\(937\) | −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 | ||||
\(939\) | 44.1127 | + | 7.89786i | 1.43956 | + | 0.257737i | ||||
\(940\) | −22.8955 | + | 6.11254i | −0.746770 | + | 0.199369i | ||||
\(941\) | −26.3527 | − | 36.2714i | −0.859074 | − | 1.18241i | −0.981790 | − | 0.189972i | \(-0.939160\pi\) |
0.122716 | − | 0.992442i | \(-0.460840\pi\) | |||||||
\(942\) | −2.82945 | + | 40.7365i | −0.0921884 | + | 1.32727i | ||||
\(943\) | −32.5103 | −1.05868 | ||||||||
\(944\) | −54.3111 | + | 24.9912i | −1.76768 | + | 0.813393i | ||||
\(945\) | −7.53295 | + | 7.31049i | −0.245047 | + | 0.237810i | ||||
\(946\) | 0.0214717 | + | 0.198380i | 0.000698104 | + | 0.00644990i | ||||
\(947\) | −9.48870 | + | 3.08306i | −0.308341 | + | 0.100186i | −0.459100 | − | 0.888384i | \(-0.651828\pi\) |
0.150759 | + | 0.988571i | \(0.451828\pi\) | |||||||
\(948\) | 1.77648 | + | 1.18906i | 0.0576974 | + | 0.0386190i | ||||
\(949\) | 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 | \(0.0819714\pi\) |
−0.632640 | + | 0.774446i | \(0.718029\pi\) | |||||||
\(954\) | −0.844484 | − | 0.530234i | −0.0273412 | − | 0.0171669i | ||||
\(955\) | −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 | ||||
\(960\) | −26.9652 | + | 15.2604i | −0.870298 | + | 0.492526i | ||||
\(961\) | −22.2346 | − | 16.1544i | −0.717244 | − | 0.521108i | ||||
\(962\) | 11.3995 | − | 5.11774i | 0.367536 | − | 0.165003i | ||||
\(963\) | 25.8789 | + | 1.03994i | 0.833936 | + | 0.0335117i | ||||
\(964\) | 20.2484 | + | 34.5752i | 0.652158 | + | 1.11359i | ||||
\(965\) | 43.6565 | − | 1.97723i | 1.40535 | − | 0.0636493i | ||||
\(966\) | 10.5120 | − | 12.5397i | 0.338219 | − | 0.403457i | ||||
\(967\) | 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 | ||||
\(969\) | 0.181158 | + | 1.31405i | 0.00581962 | + | 0.0422135i | ||||
\(970\) | −18.7314 | + | 36.4013i | −0.601429 | + | 1.16878i | ||||
\(971\) | 10.6117 | + | 32.6594i | 0.340545 | + | 1.04809i | 0.963926 | + | 0.266171i | \(0.0857584\pi\) |
−0.623381 | + | 0.781918i | \(0.714242\pi\) | |||||||
\(972\) | 17.2538 | + | 25.9674i | 0.553417 | + | 0.832904i | ||||
\(973\) | 4.62228 | − | 6.36203i | 0.148184 | − | 0.203957i | ||||
\(974\) | 0.519510 | + | 0.108746i | 0.0166462 | + | 0.00348444i | ||||
\(975\) | −22.1077 | − | 1.92026i | −0.708012 | − | 0.0614974i | ||||
\(976\) | −18.5261 | − | 20.0699i | −0.593007 | − | 0.642423i | ||||
\(977\) | −30.3194 | − | 22.0283i | −0.970003 | − | 0.704749i | −0.0145509 | − | 0.999894i | \(-0.504632\pi\) |
−0.955452 | + | 0.295146i | \(0.904632\pi\) | |||||||
\(978\) | −2.92551 | + | 1.82996i | −0.0935474 | + | 0.0585157i | ||||
\(979\) | 0.186437 | − | 0.0605770i | 0.00595854 | − | 0.00193605i | ||||
\(980\) | 27.6155 | + | 1.47244i | 0.882145 | + | 0.0470355i | ||||
\(981\) | 18.5411 | + | 27.8024i | 0.591971 | + | 0.887662i | ||||
\(982\) | −42.2997 | − | 8.85431i | −1.34984 | − | 0.282553i | ||||
\(983\) | 28.5156 | + | 9.26529i | 0.909507 | + | 0.295517i | 0.726156 | − | 0.687530i | \(-0.241305\pi\) |
0.183352 | + | 0.983047i | \(0.441305\pi\) | |||||||
\(984\) | 19.2965 | − | 9.57112i | 0.615151 | − | 0.305116i | ||||
\(985\) | 9.41518 | − | 3.53766i | 0.299993 | − | 0.112719i | ||||
\(986\) | 0.935708 | − | 0.847775i | 0.0297990 | − | 0.0269986i | ||||
\(987\) | −3.91199 | + | 7.31096i | −0.124520 | + | 0.232711i | ||||
\(988\) | 30.4472 | − | 6.66904i | 0.968656 | − | 0.212170i | ||||
\(989\) | −31.0990 | + | 42.8042i | −0.988892 | + | 1.36109i | ||||
\(990\) | 0.0210768 | + | 0.185873i | 0.000669866 | + | 0.00590742i | ||||
\(991\) | 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 | ||||
\(996\) | 13.8747 | + | 37.7021i | 0.439638 | + | 1.19464i | ||||
\(997\) | 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.59.42 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.15 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.49 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.8 | ✓ | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.8 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.49 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.15 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.42 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.8 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.15 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.42 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.49 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.8 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.15 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.42 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.49 | yes | 224 | 75.14 | odd | 10 | inner |