Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [117,2,Mod(20,117)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(117, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("117.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 117 = 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 117.bc (of order \(12\), 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: | \(0.934249703649\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 20.4 | ||
Character | \(\chi\) | \(=\) | 117.20 |
Dual form | 117.2.bc.a.41.4 |
$q$-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 \(\left(\mathbb{Z}/117\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(92\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.55681 | − | 0.417145i | −1.10083 | − | 0.294966i | −0.337727 | − | 0.941244i | \(-0.609658\pi\) |
−0.763102 | + | 0.646278i | \(0.776325\pi\) | |||||||
\(3\) | −1.30216 | + | 1.14210i | −0.751802 | + | 0.659389i | ||||
\(4\) | 0.517589 | + | 0.298830i | 0.258795 | + | 0.149415i | ||||
\(5\) | −0.690114 | − | 0.184916i | −0.308629 | − | 0.0826968i | 0.101181 | − | 0.994868i | \(-0.467738\pi\) |
−0.409809 | + | 0.912171i | \(0.634405\pi\) | |||||||
\(6\) | 2.50363 | − | 1.23483i | 1.02210 | − | 0.504119i | ||||
\(7\) | 3.10547 | − | 3.10547i | 1.17376 | − | 1.17376i | 0.192451 | − | 0.981306i | \(-0.438356\pi\) |
0.981306 | − | 0.192451i | \(-0.0616438\pi\) | |||||||
\(8\) | 1.59819 | + | 1.59819i | 0.565047 | + | 0.565047i | ||||
\(9\) | 0.391235 | − | 2.97438i | 0.130412 | − | 0.991460i | ||||
\(10\) | 0.997239 | + | 0.575756i | 0.315355 | + | 0.182070i | ||||
\(11\) | 0.453556 | − | 1.69270i | 0.136752 | − | 0.510367i | −0.863232 | − | 0.504807i | \(-0.831564\pi\) |
0.999985 | − | 0.00555973i | \(-0.00176973\pi\) | |||||||
\(12\) | −1.01528 | + | 0.202012i | −0.293085 | + | 0.0583158i | ||||
\(13\) | 3.59178 | + | 0.314864i | 0.996180 | + | 0.0873276i | ||||
\(14\) | −6.13006 | + | 3.53919i | −1.63833 | + | 0.945888i | ||||
\(15\) | 1.10983 | − | 0.547387i | 0.286557 | − | 0.141335i | ||||
\(16\) | −2.41906 | − | 4.18994i | −0.604765 | − | 1.04748i | ||||
\(17\) | −2.96481 | − | 5.13520i | −0.719071 | − | 1.24547i | −0.961368 | − | 0.275266i | \(-0.911234\pi\) |
0.242297 | − | 0.970202i | \(-0.422099\pi\) | |||||||
\(18\) | −1.84983 | + | 4.46734i | −0.436008 | + | 1.05296i | ||||
\(19\) | −0.836286 | + | 3.12106i | −0.191857 | + | 0.716021i | 0.801201 | + | 0.598395i | \(0.204195\pi\) |
−0.993058 | + | 0.117625i | \(0.962472\pi\) | |||||||
\(20\) | −0.301937 | − | 0.301937i | −0.0675152 | − | 0.0675152i | ||||
\(21\) | −0.497071 | + | 7.59056i | −0.108470 | + | 1.65640i | ||||
\(22\) | −1.41220 | + | 2.44600i | −0.301082 | + | 0.521489i | ||||
\(23\) | 7.99307 | 1.66667 | 0.833335 | − | 0.552769i | \(-0.186429\pi\) | ||||
0.833335 | + | 0.552769i | \(0.186429\pi\) | |||||||
\(24\) | −3.90639 | − | 0.255812i | −0.797389 | − | 0.0522174i | ||||
\(25\) | −3.88806 | − | 2.24477i | −0.777613 | − | 0.448955i | ||||
\(26\) | −5.46036 | − | 1.98848i | −1.07087 | − | 0.389972i | ||||
\(27\) | 2.88758 | + | 4.31994i | 0.555714 | + | 0.831373i | ||||
\(28\) | 2.53537 | − | 0.679350i | 0.479139 | − | 0.128385i | ||||
\(29\) | −0.579056 | + | 0.334318i | −0.107528 | + | 0.0620814i | −0.552800 | − | 0.833314i | \(-0.686440\pi\) |
0.445272 | + | 0.895396i | \(0.353107\pi\) | |||||||
\(30\) | −1.95613 | + | 0.389216i | −0.357139 | + | 0.0710608i | ||||
\(31\) | −0.300031 | + | 1.11973i | −0.0538871 | + | 0.201109i | −0.987621 | − | 0.156858i | \(-0.949863\pi\) |
0.933734 | + | 0.357967i | \(0.116530\pi\) | |||||||
\(32\) | 0.848242 | + | 3.16568i | 0.149949 | + | 0.559619i | ||||
\(33\) | 1.34262 | + | 2.72216i | 0.233720 | + | 0.473868i | ||||
\(34\) | 2.47351 | + | 9.23127i | 0.424204 | + | 1.58315i | ||||
\(35\) | −2.71738 | + | 1.56888i | −0.459321 | + | 0.265189i | ||||
\(36\) | 1.09133 | − | 1.42259i | 0.181889 | − | 0.237099i | ||||
\(37\) | −0.0149826 | − | 0.0559159i | −0.00246313 | − | 0.00919251i | 0.964683 | − | 0.263412i | \(-0.0848480\pi\) |
−0.967146 | + | 0.254220i | \(0.918181\pi\) | |||||||
\(38\) | 2.60387 | − | 4.51004i | 0.422404 | − | 0.731625i | ||||
\(39\) | −5.03667 | + | 3.69215i | −0.806512 | + | 0.591217i | ||||
\(40\) | −0.807405 | − | 1.39847i | −0.127662 | − | 0.221117i | ||||
\(41\) | −1.40774 | + | 1.40774i | −0.219853 | + | 0.219853i | −0.808436 | − | 0.588584i | \(-0.799686\pi\) |
0.588584 | + | 0.808436i | \(0.299686\pi\) | |||||||
\(42\) | 3.94021 | − | 11.6097i | 0.607988 | − | 1.79142i | ||||
\(43\) | − | 4.14155i | − | 0.631581i | −0.948829 | − | 0.315790i | \(-0.897730\pi\) | ||
0.948829 | − | 0.315790i | \(-0.102270\pi\) | |||||||
\(44\) | 0.740585 | − | 0.740585i | 0.111647 | − | 0.111647i | ||||
\(45\) | −0.820006 | + | 1.98032i | −0.122239 | + | 0.295208i | ||||
\(46\) | −12.4437 | − | 3.33427i | −1.83472 | − | 0.491611i | ||||
\(47\) | 5.58909 | − | 1.49759i | 0.815252 | − | 0.218446i | 0.172983 | − | 0.984925i | \(-0.444660\pi\) |
0.642270 | + | 0.766479i | \(0.277993\pi\) | |||||||
\(48\) | 7.93531 | + | 2.69316i | 1.14536 | + | 0.388725i | ||||
\(49\) | − | 12.2879i | − | 1.75542i | ||||||
\(50\) | 5.11657 | + | 5.11657i | 0.723592 | + | 0.723592i | ||||
\(51\) | 9.72554 | + | 3.30075i | 1.36185 | + | 0.462197i | ||||
\(52\) | 1.76497 | + | 1.23630i | 0.244758 | + | 0.171444i | ||||
\(53\) | − | 4.09535i | − | 0.562540i | −0.959629 | − | 0.281270i | \(-0.909244\pi\) | ||
0.959629 | − | 0.281270i | \(-0.0907556\pi\) | |||||||
\(54\) | −2.69336 | − | 7.92986i | −0.366519 | − | 1.07912i | ||||
\(55\) | −0.626011 | + | 1.08428i | −0.0844114 | + | 0.146205i | ||||
\(56\) | 9.92629 | 1.32646 | ||||||||
\(57\) | −2.47557 | − | 5.01924i | −0.327898 | − | 0.664814i | ||||
\(58\) | 1.04094 | − | 0.278919i | 0.136682 | − | 0.0366238i | ||||
\(59\) | −1.34291 | + | 0.359831i | −0.174832 | + | 0.0468460i | −0.345173 | − | 0.938539i | \(-0.612180\pi\) |
0.170341 | + | 0.985385i | \(0.445513\pi\) | |||||||
\(60\) | 0.738012 | + | 0.0483290i | 0.0952769 | + | 0.00623925i | ||||
\(61\) | −8.19005 | −1.04863 | −0.524315 | − | 0.851525i | \(-0.675678\pi\) | ||||
−0.524315 | + | 0.851525i | \(0.675678\pi\) | |||||||
\(62\) | 0.934180 | − | 1.61805i | 0.118641 | − | 0.205492i | ||||
\(63\) | −8.02188 | − | 10.4518i | −1.01066 | − | 1.31681i | ||||
\(64\) | 4.39405i | 0.549256i | ||||||||
\(65\) | −2.42051 | − | 0.881468i | −0.300228 | − | 0.109333i | ||||
\(66\) | −0.954660 | − | 4.79795i | −0.117511 | − | 0.590587i | ||||
\(67\) | 8.56537 | + | 8.56537i | 1.04643 | + | 1.04643i | 0.998868 | + | 0.0475582i | \(0.0151440\pi\) |
0.0475582 | + | 0.998868i | \(0.484856\pi\) | |||||||
\(68\) | − | 3.54390i | − | 0.429761i | ||||||
\(69\) | −10.4082 | + | 9.12885i | −1.25301 | + | 1.09898i | ||||
\(70\) | 4.88489 | − | 1.30890i | 0.583856 | − | 0.156444i | ||||
\(71\) | 3.11758 | + | 0.835353i | 0.369988 | + | 0.0991381i | 0.439022 | − | 0.898476i | \(-0.355325\pi\) |
−0.0690337 | + | 0.997614i | \(0.521992\pi\) | |||||||
\(72\) | 5.37890 | − | 4.12837i | 0.633910 | − | 0.486533i | ||||
\(73\) | −3.59223 | + | 3.59223i | −0.420439 | + | 0.420439i | −0.885355 | − | 0.464916i | \(-0.846085\pi\) |
0.464916 | + | 0.885355i | \(0.346085\pi\) | |||||||
\(74\) | 0.0933002i | 0.0108459i | ||||||||
\(75\) | 7.62662 | − | 1.51749i | 0.880646 | − | 0.175224i | ||||
\(76\) | −1.36552 | + | 1.36552i | −0.156636 | + | 0.156636i | ||||
\(77\) | −3.84811 | − | 6.66512i | −0.438533 | − | 0.759561i | ||||
\(78\) | 9.38129 | − | 3.64694i | 1.06222 | − | 0.412935i | ||||
\(79\) | −4.63097 | + | 8.02108i | −0.521025 | + | 0.902441i | 0.478676 | + | 0.877992i | \(0.341117\pi\) |
−0.999701 | + | 0.0244500i | \(0.992217\pi\) | |||||||
\(80\) | 0.894644 | + | 3.33886i | 0.100024 | + | 0.373296i | ||||
\(81\) | −8.69387 | − | 2.32736i | −0.965986 | − | 0.258596i | ||||
\(82\) | 2.77882 | − | 1.60435i | 0.306869 | − | 0.177171i | ||||
\(83\) | 2.23189 | + | 8.32953i | 0.244982 | + | 0.914285i | 0.973393 | + | 0.229144i | \(0.0735926\pi\) |
−0.728411 | + | 0.685141i | \(0.759741\pi\) | |||||||
\(84\) | −2.52557 | + | 3.78025i | −0.275562 | + | 0.412459i | ||||
\(85\) | 1.09648 | + | 4.09211i | 0.118930 | + | 0.443852i | ||||
\(86\) | −1.72763 | + | 6.44760i | −0.186295 | + | 0.695262i | ||||
\(87\) | 0.372200 | − | 1.09667i | 0.0399040 | − | 0.117576i | ||||
\(88\) | 3.43013 | − | 1.98038i | 0.365653 | − | 0.211110i | ||||
\(89\) | −4.89110 | + | 1.31057i | −0.518455 | + | 0.138920i | −0.508552 | − | 0.861031i | \(-0.669819\pi\) |
−0.00990324 | + | 0.999951i | \(0.503152\pi\) | |||||||
\(90\) | 2.10267 | − | 2.74091i | 0.221641 | − | 0.288917i | ||||
\(91\) | 12.1320 | − | 10.1764i | 1.27178 | − | 1.06677i | ||||
\(92\) | 4.13712 | + | 2.38857i | 0.431325 | + | 0.249026i | ||||
\(93\) | −0.888151 | − | 1.80073i | −0.0920969 | − | 0.186727i | ||||
\(94\) | −9.32585 | −0.961888 | ||||||||
\(95\) | 1.15427 | − | 1.99925i | 0.118425 | − | 0.205118i | ||||
\(96\) | −4.72006 | − | 3.15345i | −0.481739 | − | 0.321847i | ||||
\(97\) | 9.26652 | + | 9.26652i | 0.940872 | + | 0.940872i | 0.998347 | − | 0.0574745i | \(-0.0183048\pi\) |
−0.0574745 | + | 0.998347i | \(0.518305\pi\) | |||||||
\(98\) | −5.12584 | + | 19.1299i | −0.517788 | + | 1.93241i | ||||
\(99\) | −4.85727 | − | 2.01129i | −0.488174 | − | 0.202142i | ||||
\(100\) | −1.34161 | − | 2.32374i | −0.134161 | − | 0.232374i | ||||
\(101\) | 6.11679 | + | 10.5946i | 0.608644 | + | 1.05420i | 0.991464 | + | 0.130379i | \(0.0416194\pi\) |
−0.382820 | + | 0.923823i | \(0.625047\pi\) | |||||||
\(102\) | −13.7639 | − | 9.19559i | −1.36283 | − | 0.910499i | ||||
\(103\) | −9.33513 | + | 5.38964i | −0.919818 | + | 0.531057i | −0.883577 | − | 0.468286i | \(-0.844872\pi\) |
−0.0362409 | + | 0.999343i | \(0.511538\pi\) | |||||||
\(104\) | 5.23714 | + | 6.24357i | 0.513544 | + | 0.612232i | ||||
\(105\) | 1.74665 | − | 5.14644i | 0.170456 | − | 0.502241i | ||||
\(106\) | −1.70836 | + | 6.37567i | −0.165930 | + | 0.619260i | ||||
\(107\) | 2.85766 | + | 1.64987i | 0.276261 | + | 0.159499i | 0.631729 | − | 0.775189i | \(-0.282345\pi\) |
−0.355469 | + | 0.934688i | \(0.615679\pi\) | |||||||
\(108\) | 0.203649 | + | 3.09885i | 0.0195961 | + | 0.298187i | ||||
\(109\) | 0.650028 | + | 0.650028i | 0.0622613 | + | 0.0622613i | 0.737552 | − | 0.675291i | \(-0.235982\pi\) |
−0.675291 | + | 0.737552i | \(0.735982\pi\) | |||||||
\(110\) | 1.42688 | − | 1.42688i | 0.136048 | − | 0.136048i | ||||
\(111\) | 0.0833710 | + | 0.0556998i | 0.00791322 | + | 0.00528679i | ||||
\(112\) | −20.5241 | − | 5.49941i | −1.93934 | − | 0.519645i | ||||
\(113\) | −15.6325 | − | 9.02543i | −1.47058 | − | 0.849041i | −0.471128 | − | 0.882065i | \(-0.656153\pi\) |
−0.999455 | + | 0.0330238i | \(0.989486\pi\) | |||||||
\(114\) | 1.76024 | + | 8.84666i | 0.164862 | + | 0.828566i | ||||
\(115\) | −5.51613 | − | 1.47804i | −0.514382 | − | 0.137828i | ||||
\(116\) | −0.399618 | −0.0371036 | ||||||||
\(117\) | 2.34175 | − | 10.5601i | 0.216495 | − | 0.976284i | ||||
\(118\) | 2.24075 | 0.206278 | ||||||||
\(119\) | −25.1543 | − | 6.74008i | −2.30589 | − | 0.617862i | ||||
\(120\) | 2.64855 | + | 0.898892i | 0.241779 | + | 0.0820572i | ||||
\(121\) | 6.86678 | + | 3.96453i | 0.624252 | + | 0.360412i | ||||
\(122\) | 12.7503 | + | 3.41644i | 1.15436 | + | 0.309310i | ||||
\(123\) | 0.225328 | − | 3.44088i | 0.0203171 | − | 0.310254i | ||||
\(124\) | −0.489902 | + | 0.489902i | −0.0439945 | + | 0.0439945i | ||||
\(125\) | 4.79411 | + | 4.79411i | 0.428798 | + | 0.428798i | ||||
\(126\) | 8.12860 | + | 19.6178i | 0.724153 | + | 1.74769i | ||||
\(127\) | 0.642814 | + | 0.371129i | 0.0570405 | + | 0.0329323i | 0.528249 | − | 0.849089i | \(-0.322849\pi\) |
−0.471209 | + | 0.882022i | \(0.656182\pi\) | |||||||
\(128\) | 3.52944 | − | 13.1721i | 0.311961 | − | 1.16426i | ||||
\(129\) | 4.73005 | + | 5.39296i | 0.416457 | + | 0.474823i | ||||
\(130\) | 3.40057 | + | 2.38198i | 0.298250 | + | 0.208914i | ||||
\(131\) | −3.97273 | + | 2.29366i | −0.347099 | + | 0.200398i | −0.663407 | − | 0.748259i | \(-0.730890\pi\) |
0.316308 | + | 0.948657i | \(0.397557\pi\) | |||||||
\(132\) | −0.118540 | + | 1.81018i | −0.0103176 | + | 0.157556i | ||||
\(133\) | 7.09531 | + | 12.2894i | 0.615241 | + | 1.06563i | ||||
\(134\) | −9.76163 | − | 16.9076i | −0.843277 | − | 1.46060i | ||||
\(135\) | −1.19393 | − | 3.51521i | −0.102757 | − | 0.302541i | ||||
\(136\) | 3.46870 | − | 12.9454i | 0.297439 | − | 1.11006i | ||||
\(137\) | 3.13976 | + | 3.13976i | 0.268248 | + | 0.268248i | 0.828394 | − | 0.560146i | \(-0.189255\pi\) |
−0.560146 | + | 0.828394i | \(0.689255\pi\) | |||||||
\(138\) | 20.0117 | − | 9.87011i | 1.70351 | − | 0.840199i | ||||
\(139\) | 11.2215 | − | 19.4363i | 0.951799 | − | 1.64856i | 0.210269 | − | 0.977644i | \(-0.432566\pi\) |
0.741530 | − | 0.670920i | \(-0.234101\pi\) | |||||||
\(140\) | −1.87532 | −0.158493 | ||||||||
\(141\) | −5.56749 | + | 8.33338i | −0.468867 | + | 0.701797i | ||||
\(142\) | −4.50501 | − | 2.60097i | −0.378052 | − | 0.218268i | ||||
\(143\) | 2.16204 | − | 5.93698i | 0.180799 | − | 0.496475i | ||||
\(144\) | −13.4089 | + | 5.55596i | −1.11741 | + | 0.462996i | ||||
\(145\) | 0.461436 | − | 0.123641i | 0.0383202 | − | 0.0102679i | ||||
\(146\) | 7.09089 | − | 4.09393i | 0.586847 | − | 0.338816i | ||||
\(147\) | 14.0340 | + | 16.0008i | 1.15750 | + | 1.31972i | ||||
\(148\) | 0.00895451 | − | 0.0334187i | 0.000736057 | − | 0.00274700i | ||||
\(149\) | −1.48515 | − | 5.54265i | −0.121668 | − | 0.454072i | 0.878031 | − | 0.478604i | \(-0.158857\pi\) |
−0.999699 | + | 0.0245323i | \(0.992190\pi\) | |||||||
\(150\) | −12.5062 | − | 0.818974i | −1.02113 | − | 0.0668689i | ||||
\(151\) | −5.81580 | − | 21.7048i | −0.473283 | − | 1.76632i | −0.627851 | − | 0.778333i | \(-0.716065\pi\) |
0.154568 | − | 0.987982i | \(-0.450601\pi\) | |||||||
\(152\) | −6.32461 | + | 3.65151i | −0.512993 | + | 0.296177i | ||||
\(153\) | −16.4340 | + | 6.80939i | −1.32861 | + | 0.550507i | ||||
\(154\) | 3.21044 | + | 11.9815i | 0.258705 | + | 0.965500i | ||||
\(155\) | 0.414111 | − | 0.717261i | 0.0332622 | − | 0.0576118i | ||||
\(156\) | −3.71025 | + | 0.405908i | −0.297058 | + | 0.0324986i | ||||
\(157\) | 3.80152 | + | 6.58443i | 0.303394 | + | 0.525494i | 0.976903 | − | 0.213685i | \(-0.0685467\pi\) |
−0.673508 | + | 0.739180i | \(0.735213\pi\) | |||||||
\(158\) | 10.5555 | − | 10.5555i | 0.839749 | − | 0.839749i | ||||
\(159\) | 4.67728 | + | 5.33280i | 0.370933 | + | 0.422918i | ||||
\(160\) | − | 2.34154i | − | 0.185115i | ||||||
\(161\) | 24.8222 | − | 24.8222i | 1.95627 | − | 1.95627i | ||||
\(162\) | 12.5638 | + | 7.24986i | 0.987108 | + | 0.569603i | ||||
\(163\) | −3.50378 | − | 0.938834i | −0.274437 | − | 0.0735352i | 0.118976 | − | 0.992897i | \(-0.462039\pi\) |
−0.393413 | + | 0.919362i | \(0.628706\pi\) | |||||||
\(164\) | −1.14931 | + | 0.307957i | −0.0897460 | + | 0.0240474i | ||||
\(165\) | −0.423189 | − | 2.12687i | −0.0329452 | − | 0.165577i | ||||
\(166\) | − | 13.8985i | − | 1.07873i | ||||||
\(167\) | 14.8746 | + | 14.8746i | 1.15103 | + | 1.15103i | 0.986346 | + | 0.164688i | \(0.0526618\pi\) |
0.164688 | + | 0.986346i | \(0.447338\pi\) | |||||||
\(168\) | −12.9256 | + | 11.3368i | −0.997232 | + | 0.874651i | ||||
\(169\) | 12.8017 | + | 2.26184i | 0.984748 | + | 0.173988i | ||||
\(170\) | − | 6.82802i | − | 0.523685i | ||||||
\(171\) | 8.95604 | + | 3.70850i | 0.684885 | + | 0.283596i | ||||
\(172\) | 1.23762 | − | 2.14362i | 0.0943677 | − | 0.163450i | ||||
\(173\) | −18.3298 | −1.39359 | −0.696793 | − | 0.717272i | \(-0.745390\pi\) | ||||
−0.696793 | + | 0.717272i | \(0.745390\pi\) | |||||||
\(174\) | −1.03692 | + | 1.55205i | −0.0786084 | + | 0.117660i | ||||
\(175\) | −19.0454 | + | 5.10319i | −1.43969 | + | 0.385765i | ||||
\(176\) | −8.18947 | + | 2.19436i | −0.617304 | + | 0.165406i | ||||
\(177\) | 1.33772 | − | 2.00229i | 0.100549 | − | 0.150501i | ||||
\(178\) | 8.16119 | 0.611707 | ||||||||
\(179\) | −8.60225 | + | 14.8995i | −0.642962 | + | 1.11364i | 0.341806 | + | 0.939771i | \(0.388961\pi\) |
−0.984768 | + | 0.173872i | \(0.944372\pi\) | |||||||
\(180\) | −1.01620 | + | 0.779948i | −0.0757434 | + | 0.0581339i | ||||
\(181\) | 1.08994i | 0.0810148i | 0.999179 | + | 0.0405074i | \(0.0128974\pi\) | ||||
−0.999179 | + | 0.0405074i | \(0.987103\pi\) | |||||||
\(182\) | −23.1322 | + | 10.7818i | −1.71467 | + | 0.799203i | ||||
\(183\) | 10.6648 | − | 9.35383i | 0.788361 | − | 0.691455i | ||||
\(184\) | 12.7745 | + | 12.7745i | 0.941746 | + | 0.941746i | ||||
\(185\) | 0.0413589i | 0.00304076i | ||||||||
\(186\) | 0.631514 | + | 3.17388i | 0.0463048 | + | 0.232720i | ||||
\(187\) | −10.0370 | + | 2.68941i | −0.733980 | + | 0.196669i | ||||
\(188\) | 3.34038 | + | 0.895051i | 0.243622 | + | 0.0652783i | ||||
\(189\) | 22.3827 | + | 4.44817i | 1.62811 | + | 0.323557i | ||||
\(190\) | −2.63095 | + | 2.63095i | −0.190869 | + | 0.190869i | ||||
\(191\) | − | 2.80156i | − | 0.202714i | −0.994850 | − | 0.101357i | \(-0.967682\pi\) | ||
0.994850 | − | 0.101357i | \(-0.0323184\pi\) | |||||||
\(192\) | −5.01842 | − | 5.72175i | −0.362174 | − | 0.412932i | ||||
\(193\) | 1.80610 | − | 1.80610i | 0.130006 | − | 0.130006i | −0.639110 | − | 0.769115i | \(-0.720697\pi\) |
0.769115 | + | 0.639110i | \(0.220697\pi\) | |||||||
\(194\) | −10.5607 | − | 18.2917i | −0.758214 | − | 1.31327i | ||||
\(195\) | 4.15861 | − | 1.61665i | 0.297804 | − | 0.115770i | ||||
\(196\) | 3.67200 | − | 6.36009i | 0.262286 | − | 0.454292i | ||||
\(197\) | 1.48877 | + | 5.55616i | 0.106070 | + | 0.395860i | 0.998464 | − | 0.0553970i | \(-0.0176424\pi\) |
−0.892394 | + | 0.451257i | \(0.850976\pi\) | |||||||
\(198\) | 6.72284 | + | 5.15738i | 0.477771 | + | 0.366519i | ||||
\(199\) | −2.16918 | + | 1.25238i | −0.153769 | + | 0.0887788i | −0.574910 | − | 0.818216i | \(-0.694963\pi\) |
0.421141 | + | 0.906995i | \(0.361630\pi\) | |||||||
\(200\) | −2.62629 | − | 9.80146i | −0.185707 | − | 0.693068i | ||||
\(201\) | −20.9359 | − | 1.37100i | −1.47671 | − | 0.0967029i | ||||
\(202\) | −5.10318 | − | 19.0453i | −0.359059 | − | 1.34003i | ||||
\(203\) | −0.760027 | + | 2.83646i | −0.0533434 | + | 0.199080i | ||||
\(204\) | 4.04747 | + | 4.61472i | 0.283380 | + | 0.323095i | ||||
\(205\) | 1.23182 | − | 0.711190i | 0.0860339 | − | 0.0496717i | ||||
\(206\) | 16.7813 | − | 4.49653i | 1.16921 | − | 0.313288i | ||||
\(207\) | 3.12717 | − | 23.7744i | 0.217353 | − | 1.65244i | ||||
\(208\) | −7.36947 | − | 15.8110i | −0.510981 | − | 1.09630i | ||||
\(209\) | 4.90370 | + | 2.83115i | 0.339196 | + | 0.195835i | ||||
\(210\) | −4.86601 | + | 7.28341i | −0.335787 | + | 0.502603i | ||||
\(211\) | −1.89494 | −0.130453 | −0.0652265 | − | 0.997870i | \(-0.520777\pi\) | ||||
−0.0652265 | + | 0.997870i | \(0.520777\pi\) | |||||||
\(212\) | 1.22381 | − | 2.11971i | 0.0840520 | − | 0.145582i | ||||
\(213\) | −5.01363 | + | 2.47281i | −0.343529 | + | 0.169434i | ||||
\(214\) | −3.76060 | − | 3.76060i | −0.257069 | − | 0.257069i | ||||
\(215\) | −0.765837 | + | 2.85814i | −0.0522297 | + | 0.194924i | ||||
\(216\) | −2.28920 | + | 11.5190i | −0.155760 | + | 0.783769i | ||||
\(217\) | 2.54555 | + | 4.40902i | 0.172803 | + | 0.299304i | ||||
\(218\) | −0.740812 | − | 1.28312i | −0.0501741 | − | 0.0869041i | ||||
\(219\) | 0.574983 | − | 8.78032i | 0.0388538 | − | 0.593319i | ||||
\(220\) | −0.648034 | + | 0.374142i | −0.0436904 | + | 0.0252247i | ||||
\(221\) | −9.03204 | − | 19.3780i | −0.607561 | − | 1.30350i | ||||
\(222\) | −0.106558 | − | 0.121492i | −0.00715169 | − | 0.00815398i | ||||
\(223\) | 3.93720 | − | 14.6938i | 0.263655 | − | 0.983972i | −0.699414 | − | 0.714717i | \(-0.746556\pi\) |
0.963069 | − | 0.269256i | \(-0.0867777\pi\) | |||||||
\(224\) | 12.4651 | + | 7.19674i | 0.832861 | + | 0.480853i | ||||
\(225\) | −8.19796 | + | 10.6863i | −0.546530 | + | 0.712423i | ||||
\(226\) | 20.5719 | + | 20.5719i | 1.36842 | + | 1.36842i | ||||
\(227\) | −14.0889 | + | 14.0889i | −0.935115 | + | 0.935115i | −0.998020 | − | 0.0629043i | \(-0.979964\pi\) |
0.0629043 | + | 0.998020i | \(0.479964\pi\) | |||||||
\(228\) | 0.218569 | − | 3.33768i | 0.0144751 | − | 0.221043i | ||||
\(229\) | 8.03772 | + | 2.15370i | 0.531148 | + | 0.142321i | 0.514418 | − | 0.857539i | \(-0.328008\pi\) |
0.0167295 | + | 0.999860i | \(0.494675\pi\) | |||||||
\(230\) | 7.97099 | + | 4.60206i | 0.525592 | + | 0.303451i | ||||
\(231\) | 12.6231 | + | 4.28414i | 0.830536 | + | 0.281876i | ||||
\(232\) | −1.45975 | − | 0.391139i | −0.0958373 | − | 0.0256795i | ||||
\(233\) | 12.2606 | 0.803216 | 0.401608 | − | 0.915812i | \(-0.368452\pi\) | ||||
0.401608 | + | 0.915812i | \(0.368452\pi\) | |||||||
\(234\) | −8.05077 | + | 15.4632i | −0.526295 | + | 1.01086i | ||||
\(235\) | −4.13404 | −0.269675 | ||||||||
\(236\) | −0.802603 | − | 0.215057i | −0.0522450 | − | 0.0139990i | ||||
\(237\) | −3.13058 | − | 15.7337i | −0.203353 | − | 1.02202i | ||||
\(238\) | 36.3489 | + | 20.9860i | 2.35615 | + | 1.36032i | ||||
\(239\) | −9.12224 | − | 2.44430i | −0.590069 | − | 0.158108i | −0.0485841 | − | 0.998819i | \(-0.515471\pi\) |
−0.541485 | + | 0.840711i | \(0.682138\pi\) | |||||||
\(240\) | −4.97826 | − | 3.32595i | −0.321346 | − | 0.214689i | ||||
\(241\) | −3.84185 | + | 3.84185i | −0.247476 | + | 0.247476i | −0.819934 | − | 0.572458i | \(-0.805990\pi\) |
0.572458 | + | 0.819934i | \(0.305990\pi\) | |||||||
\(242\) | −9.03646 | − | 9.03646i | −0.580886 | − | 0.580886i | ||||
\(243\) | 13.9789 | − | 6.89864i | 0.896745 | − | 0.442548i | ||||
\(244\) | −4.23908 | − | 2.44744i | −0.271380 | − | 0.156681i | ||||
\(245\) | −2.27223 | + | 8.48006i | −0.145167 | + | 0.541771i | ||||
\(246\) | −1.78614 | + | 5.26280i | −0.113880 | + | 0.335544i | ||||
\(247\) | −3.98646 | + | 10.9468i | −0.253653 | + | 0.696531i | ||||
\(248\) | −2.26905 | + | 1.31004i | −0.144085 | + | 0.0831875i | ||||
\(249\) | −12.4194 | − | 8.29734i | −0.787047 | − | 0.525822i | ||||
\(250\) | −5.46366 | − | 9.46334i | −0.345552 | − | 0.598514i | ||||
\(251\) | 8.35500 | + | 14.4713i | 0.527363 | + | 0.913420i | 0.999491 | + | 0.0318898i | \(0.0101526\pi\) |
−0.472128 | + | 0.881530i | \(0.656514\pi\) | |||||||
\(252\) | −1.02872 | − | 7.80693i | −0.0648032 | − | 0.491790i | ||||
\(253\) | 3.62531 | − | 13.5298i | 0.227921 | − | 0.850613i | ||||
\(254\) | −0.845923 | − | 0.845923i | −0.0530779 | − | 0.0530779i | ||||
\(255\) | −6.10137 | − | 4.07630i | −0.382083 | − | 0.255268i | ||||
\(256\) | −6.59527 | + | 11.4233i | −0.412205 | + | 0.713959i | ||||
\(257\) | −18.2212 | −1.13661 | −0.568303 | − | 0.822819i | \(-0.692400\pi\) | ||||
−0.568303 | + | 0.822819i | \(0.692400\pi\) | |||||||
\(258\) | −5.11413 | − | 10.3689i | −0.318392 | − | 0.645540i | ||||
\(259\) | −0.220173 | − | 0.127117i | −0.0136809 | − | 0.00789867i | ||||
\(260\) | −0.989422 | − | 1.17956i | −0.0613614 | − | 0.0731533i | ||||
\(261\) | 0.767843 | + | 1.85313i | 0.0475283 | + | 0.114706i | ||||
\(262\) | 7.14157 | − | 1.91358i | 0.441208 | − | 0.118221i | ||||
\(263\) | −2.85890 | + | 1.65059i | −0.176287 | + | 0.101779i | −0.585547 | − | 0.810638i | \(-0.699120\pi\) |
0.409260 | + | 0.912418i | \(0.365787\pi\) | |||||||
\(264\) | −2.20478 | + | 6.49631i | −0.135695 | + | 0.399820i | ||||
\(265\) | −0.757294 | + | 2.82626i | −0.0465202 | + | 0.173616i | ||||
\(266\) | −5.91955 | − | 22.0921i | −0.362951 | − | 1.35455i | ||||
\(267\) | 4.87219 | − | 7.29266i | 0.298173 | − | 0.446304i | ||||
\(268\) | 1.87375 | + | 6.99294i | 0.114458 | + | 0.427162i | ||||
\(269\) | −12.9794 | + | 7.49365i | −0.791367 | + | 0.456896i | −0.840444 | − | 0.541899i | \(-0.817706\pi\) |
0.0490765 | + | 0.998795i | \(0.484372\pi\) | |||||||
\(270\) | 0.392370 | + | 5.97055i | 0.0238789 | + | 0.363356i | ||||
\(271\) | 6.77811 | + | 25.2963i | 0.411741 | + | 1.53664i | 0.791275 | + | 0.611460i | \(0.209418\pi\) |
−0.379534 | + | 0.925178i | \(0.623916\pi\) | |||||||
\(272\) | −14.3441 | + | 24.8447i | −0.869739 | + | 1.50643i | ||||
\(273\) | −4.17537 | + | 27.1071i | −0.252705 | + | 1.64060i | ||||
\(274\) | −3.57827 | − | 6.19774i | −0.216171 | − | 0.374419i | ||||
\(275\) | −5.56317 | + | 5.56317i | −0.335472 | + | 0.335472i | ||||
\(276\) | −8.11517 | + | 1.61469i | −0.488476 | + | 0.0971932i | ||||
\(277\) | − | 18.4343i | − | 1.10761i | −0.832646 | − | 0.553806i | \(-0.813175\pi\) | ||
0.832646 | − | 0.553806i | \(-0.186825\pi\) | |||||||
\(278\) | −25.5775 | + | 25.5775i | −1.53404 | + | 1.53404i | ||||
\(279\) | 3.21312 | + | 1.33048i | 0.192364 | + | 0.0796539i | ||||
\(280\) | −6.85027 | − | 1.83553i | −0.409382 | − | 0.109694i | ||||
\(281\) | 26.8908 | − | 7.20538i | 1.60417 | − | 0.429837i | 0.657873 | − | 0.753128i | \(-0.271456\pi\) |
0.946299 | + | 0.323292i | \(0.104789\pi\) | |||||||
\(282\) | 12.1437 | − | 10.6510i | 0.723149 | − | 0.634259i | ||||
\(283\) | − | 7.98119i | − | 0.474433i | −0.971457 | − | 0.237216i | \(-0.923765\pi\) | ||
0.971457 | − | 0.237216i | \(-0.0762350\pi\) | |||||||
\(284\) | 1.36400 | + | 1.36400i | 0.0809383 | + | 0.0809383i | ||||
\(285\) | 0.780294 | + | 3.92162i | 0.0462206 | + | 0.232297i | ||||
\(286\) | −5.84247 | + | 8.34084i | −0.345472 | + | 0.493204i | ||||
\(287\) | 8.74342i | 0.516108i | ||||||||
\(288\) | 9.74780 | − | 1.28447i | 0.574395 | − | 0.0756880i | ||||
\(289\) | −9.08016 | + | 15.7273i | −0.534127 | + | 0.925136i | ||||
\(290\) | −0.769943 | −0.0452126 | ||||||||
\(291\) | −22.6497 | − | 1.48323i | −1.32775 | − | 0.0869484i | ||||
\(292\) | −2.93277 | + | 0.785832i | −0.171627 | + | 0.0459874i | ||||
\(293\) | 29.0957 | − | 7.79616i | 1.69979 | − | 0.455457i | 0.726901 | − | 0.686742i | \(-0.240960\pi\) |
0.972886 | + | 0.231286i | \(0.0742931\pi\) | |||||||
\(294\) | −15.1735 | − | 30.7644i | −0.884938 | − | 1.79422i | ||||
\(295\) | 0.993298 | 0.0578321 | ||||||||
\(296\) | 0.0654193 | − | 0.113309i | 0.00380242 | − | 0.00658598i | ||||
\(297\) | 8.62203 | − | 2.92845i | 0.500301 | − | 0.169926i | ||||
\(298\) | 9.24836i | 0.535743i | ||||||||
\(299\) | 28.7093 | + | 2.51673i | 1.66030 | + | 0.145546i | ||||
\(300\) | 4.40093 | + | 1.49363i | 0.254088 | + | 0.0862348i | ||||
\(301\) | −12.8615 | − | 12.8615i | −0.741323 | − | 0.741323i | ||||
\(302\) | 36.2163i | 2.08401i | ||||||||
\(303\) | −20.0651 | − | 6.80988i | −1.15271 | − | 0.391218i | ||||
\(304\) | 15.1001 | − | 4.04605i | 0.866049 | − | 0.232057i | ||||
\(305\) | 5.65207 | + | 1.51447i | 0.323637 | + | 0.0867182i | ||||
\(306\) | 28.4250 | − | 3.74557i | 1.62495 | − | 0.214120i | ||||
\(307\) | −9.91862 | + | 9.91862i | −0.566086 | + | 0.566086i | −0.931029 | − | 0.364944i | \(-0.881088\pi\) |
0.364944 | + | 0.931029i | \(0.381088\pi\) | |||||||
\(308\) | − | 4.59973i | − | 0.262094i | ||||||
\(309\) | 6.00034 | − | 17.6798i | 0.341347 | − | 1.00577i | ||||
\(310\) | −0.943893 | + | 0.943893i | −0.0536095 | + | 0.0536095i | ||||
\(311\) | 4.71379 | + | 8.16452i | 0.267294 | + | 0.462967i | 0.968162 | − | 0.250324i | \(-0.0805371\pi\) |
−0.700868 | + | 0.713291i | \(0.747204\pi\) | |||||||
\(312\) | −13.9503 | − | 2.14880i | −0.789783 | − | 0.121652i | ||||
\(313\) | −4.20593 | + | 7.28489i | −0.237733 | + | 0.411766i | −0.960064 | − | 0.279782i | \(-0.909738\pi\) |
0.722330 | + | 0.691548i | \(0.243071\pi\) | |||||||
\(314\) | −3.17157 | − | 11.8365i | −0.178982 | − | 0.667971i | ||||
\(315\) | 3.60331 | + | 8.69632i | 0.203024 | + | 0.489982i | ||||
\(316\) | −4.79388 | + | 2.76775i | −0.269677 | + | 0.155698i | ||||
\(317\) | −2.48579 | − | 9.27710i | −0.139616 | − | 0.521054i | −0.999936 | − | 0.0112997i | \(-0.996403\pi\) |
0.860320 | − | 0.509754i | \(-0.170264\pi\) | |||||||
\(318\) | −5.05708 | − | 10.2532i | −0.283587 | − | 0.574974i | ||||
\(319\) | 0.303264 | + | 1.13180i | 0.0169796 | + | 0.0633686i | ||||
\(320\) | 0.812528 | − | 3.03240i | 0.0454217 | − | 0.169516i | ||||
\(321\) | −5.60544 | + | 1.11533i | −0.312865 | + | 0.0622516i | ||||
\(322\) | −48.9979 | + | 28.2890i | −2.73055 | + | 1.57648i | ||||
\(323\) | 18.5067 | − | 4.95885i | 1.02974 | − | 0.275918i | ||||
\(324\) | −3.80437 | − | 3.80261i | −0.211354 | − | 0.211256i | ||||
\(325\) | −13.2583 | − | 9.28694i | −0.735436 | − | 0.515147i | ||||
\(326\) | 5.06308 | + | 2.92317i | 0.280418 | + | 0.161899i | ||||
\(327\) | −1.58883 | − | 0.104045i | −0.0878626 | − | 0.00575373i | ||||
\(328\) | −4.49969 | −0.248454 | ||||||||
\(329\) | 12.7060 | − | 22.0075i | 0.700506 | − | 1.21331i | ||||
\(330\) | −0.228391 | + | 3.48767i | −0.0125725 | + | 0.191990i | ||||
\(331\) | 3.27323 | + | 3.27323i | 0.179913 | + | 0.179913i | 0.791318 | − | 0.611405i | \(-0.209395\pi\) |
−0.611405 | + | 0.791318i | \(0.709395\pi\) | |||||||
\(332\) | −1.33391 | + | 4.97823i | −0.0732080 | + | 0.273216i | ||||
\(333\) | −0.172177 | + | 0.0226877i | −0.00943523 | + | 0.00124328i | ||||
\(334\) | −16.9521 | − | 29.3618i | −0.927576 | − | 1.60661i | ||||
\(335\) | −4.32721 | − | 7.49496i | −0.236421 | − | 0.409493i | ||||
\(336\) | 33.0064 | − | 16.2793i | 1.80065 | − | 0.888111i | ||||
\(337\) | 19.8285 | − | 11.4480i | 1.08013 | − | 0.623612i | 0.149197 | − | 0.988808i | \(-0.452331\pi\) |
0.930931 | + | 0.365196i | \(0.118998\pi\) | |||||||
\(338\) | −18.9863 | − | 8.86143i | −1.03272 | − | 0.481998i | ||||
\(339\) | 30.6639 | − | 6.10127i | 1.66544 | − | 0.331376i | ||||
\(340\) | −0.655322 | + | 2.44569i | −0.0355398 | + | 0.132636i | ||||
\(341\) | 1.75928 | + | 1.01572i | 0.0952704 | + | 0.0550044i | ||||
\(342\) | −12.3958 | − | 9.50939i | −0.670291 | − | 0.514209i | ||||
\(343\) | −16.4215 | − | 16.4215i | −0.886675 | − | 0.886675i | ||||
\(344\) | 6.61900 | − | 6.61900i | 0.356873 | − | 0.356873i | ||||
\(345\) | 8.87094 | − | 4.37530i | 0.477595 | − | 0.235558i | ||||
\(346\) | 28.5359 | + | 7.64617i | 1.53410 | + | 0.411061i | ||||
\(347\) | 20.9258 | + | 12.0815i | 1.12336 | + | 0.648570i | 0.942256 | − | 0.334895i | \(-0.108701\pi\) |
0.181101 | + | 0.983465i | \(0.442034\pi\) | |||||||
\(348\) | 0.520366 | − | 0.456402i | 0.0278945 | − | 0.0244657i | ||||
\(349\) | 12.3456 | + | 3.30800i | 0.660846 | + | 0.177073i | 0.573628 | − | 0.819116i | \(-0.305536\pi\) |
0.0872181 | + | 0.996189i | \(0.472202\pi\) | |||||||
\(350\) | 31.7787 | 1.69864 | ||||||||
\(351\) | 9.01133 | + | 16.4255i | 0.480989 | + | 0.876726i | ||||
\(352\) | 5.74326 | 0.306117 | ||||||||
\(353\) | 19.8223 | + | 5.31136i | 1.05503 | + | 0.282695i | 0.744330 | − | 0.667812i | \(-0.232769\pi\) |
0.310703 | + | 0.950507i | \(0.399436\pi\) | |||||||
\(354\) | −2.91781 | + | 2.55915i | −0.155080 | + | 0.136017i | ||||
\(355\) | −1.99702 | − | 1.15298i | −0.105991 | − | 0.0611937i | ||||
\(356\) | −2.92322 | − | 0.783273i | −0.154930 | − | 0.0415134i | ||||
\(357\) | 40.4528 | − | 19.9520i | 2.14099 | − | 1.05597i | ||||
\(358\) | 19.6073 | − | 19.6073i | 1.03628 | − | 1.03628i | ||||
\(359\) | −9.59235 | − | 9.59235i | −0.506265 | − | 0.506265i | 0.407113 | − | 0.913378i | \(-0.366536\pi\) |
−0.913378 | + | 0.407113i | \(0.866536\pi\) | |||||||
\(360\) | −4.47546 | + | 1.85440i | −0.235877 | + | 0.0977355i | ||||
\(361\) | 7.41283 | + | 4.27980i | 0.390149 | + | 0.225253i | ||||
\(362\) | 0.454664 | − | 1.69683i | 0.0238966 | − | 0.0891834i | ||||
\(363\) | −13.4695 | + | 2.68006i | −0.706966 | + | 0.140667i | ||||
\(364\) | 9.32038 | − | 1.64178i | 0.488521 | − | 0.0860525i | ||||
\(365\) | 3.14331 | − | 1.81479i | 0.164528 | − | 0.0949905i | ||||
\(366\) | −20.5049 | + | 10.1134i | −1.07181 | + | 0.528634i | ||||
\(367\) | 6.40843 | + | 11.0997i | 0.334517 | + | 0.579401i | 0.983392 | − | 0.181494i | \(-0.0580934\pi\) |
−0.648875 | + | 0.760895i | \(0.724760\pi\) | |||||||
\(368\) | −19.3357 | − | 33.4904i | −1.00794 | − | 1.74581i | ||||
\(369\) | 3.63641 | + | 4.73792i | 0.189304 | + | 0.246646i | ||||
\(370\) | 0.0172527 | − | 0.0643878i | 0.000896923 | − | 0.00334736i | ||||
\(371\) | −12.7180 | − | 12.7180i | −0.660286 | − | 0.660286i | ||||
\(372\) | 0.0784152 | − | 1.19744i | 0.00406564 | − | 0.0620846i | ||||
\(373\) | −2.50103 | + | 4.33190i | −0.129498 | + | 0.224297i | −0.923482 | − | 0.383641i | \(-0.874670\pi\) |
0.793984 | + | 0.607939i | \(0.208003\pi\) | |||||||
\(374\) | 16.7476 | 0.865998 | ||||||||
\(375\) | −11.7180 | − | 0.767360i | −0.605116 | − | 0.0396263i | ||||
\(376\) | 11.3259 | + | 6.53900i | 0.584088 | + | 0.337223i | ||||
\(377\) | −2.18511 | + | 1.01847i | −0.112539 | + | 0.0524540i | ||||
\(378\) | −32.9901 | − | 16.2618i | −1.69683 | − | 0.836417i | ||||
\(379\) | −14.1436 | + | 3.78976i | −0.726507 | + | 0.194667i | −0.603073 | − | 0.797686i | \(-0.706057\pi\) |
−0.123434 | + | 0.992353i | \(0.539391\pi\) | |||||||
\(380\) | 1.19487 | − | 0.689859i | 0.0612956 | − | 0.0353890i | ||||
\(381\) | −1.26091 | + | 0.250886i | −0.0645984 | + | 0.0128533i | ||||
\(382\) | −1.16866 | + | 4.36149i | −0.0597938 | + | 0.223153i | ||||
\(383\) | 3.94548 | + | 14.7247i | 0.201605 | + | 0.752399i | 0.990458 | + | 0.137817i | \(0.0440086\pi\) |
−0.788853 | + | 0.614582i | \(0.789325\pi\) | |||||||
\(384\) | 10.4479 | + | 21.1831i | 0.533165 | + | 1.08099i | ||||
\(385\) | 1.42315 | + | 5.31127i | 0.0725305 | + | 0.270688i | ||||
\(386\) | −3.56515 | + | 2.05834i | −0.181461 | + | 0.104767i | ||||
\(387\) | −12.3185 | − | 1.62032i | −0.626187 | − | 0.0823655i | ||||
\(388\) | 2.02713 | + | 7.56537i | 0.102912 | + | 0.384073i | ||||
\(389\) | −6.32765 | + | 10.9598i | −0.320824 | + | 0.555684i | −0.980658 | − | 0.195727i | \(-0.937293\pi\) |
0.659834 | + | 0.751411i | \(0.270627\pi\) | |||||||
\(390\) | −7.14854 | + | 0.782062i | −0.361980 | + | 0.0396013i | ||||
\(391\) | −23.6979 | − | 41.0460i | −1.19845 | − | 2.07578i | ||||
\(392\) | 19.6385 | − | 19.6385i | 0.991892 | − | 0.991892i | ||||
\(393\) | 2.55355 | − | 7.52395i | 0.128810 | − | 0.379533i | ||||
\(394\) | − | 9.27091i | − | 0.467061i | ||||||
\(395\) | 4.67912 | − | 4.67912i | 0.235432 | − | 0.235432i | ||||
\(396\) | −1.91304 | − | 2.49252i | −0.0961337 | − | 0.125254i | ||||
\(397\) | −25.0026 | − | 6.69943i | −1.25485 | − | 0.336235i | −0.430639 | − | 0.902524i | \(-0.641712\pi\) |
−0.824207 | + | 0.566289i | \(0.808378\pi\) | |||||||
\(398\) | 3.89942 | − | 1.04485i | 0.195461 | − | 0.0523735i | ||||
\(399\) | −23.2749 | − | 7.89927i | −1.16520 | − | 0.395458i | ||||
\(400\) | 21.7210i | 1.08605i | ||||||||
\(401\) | −13.5641 | − | 13.5641i | −0.677360 | − | 0.677360i | 0.282042 | − | 0.959402i | \(-0.408988\pi\) |
−0.959402 | + | 0.282042i | \(0.908988\pi\) | |||||||
\(402\) | 32.0213 | + | 10.8677i | 1.59708 | + | 0.542032i | ||||
\(403\) | −1.43021 | + | 3.92735i | −0.0712436 | + | 0.195635i | ||||
\(404\) | 7.31153i | 0.363762i | ||||||||
\(405\) | 5.56940 | + | 3.21378i | 0.276746 | + | 0.159694i | ||||
\(406\) | 2.36643 | − | 4.09878i | 0.117444 | − | 0.203419i | ||||
\(407\) | −0.101444 | −0.00502839 | ||||||||
\(408\) | 10.2681 | + | 20.8185i | 0.508344 | + | 1.03067i | ||||
\(409\) | −16.2586 | + | 4.35649i | −0.803938 | + | 0.215415i | −0.637312 | − | 0.770606i | \(-0.719954\pi\) |
−0.166626 | + | 0.986020i | \(0.553287\pi\) | |||||||
\(410\) | −2.21437 | + | 0.593340i | −0.109360 | + | 0.0293030i | ||||
\(411\) | −7.67438 | − | 0.502560i | −0.378549 | − | 0.0247895i | ||||
\(412\) | −6.44235 | −0.317392 | ||||||||
\(413\) | −3.05292 | + | 5.28781i | −0.150224 | + | 0.260196i | ||||
\(414\) | −14.7858 | + | 35.7077i | −0.726682 | + | 1.75494i | ||||
\(415\) | − | 6.16104i | − | 0.302433i | ||||||
\(416\) | 2.04994 | + | 11.6375i | 0.100506 | + | 0.570575i | ||||
\(417\) | 7.58586 | + | 38.1252i | 0.371481 | + | 1.86700i | ||||
\(418\) | −6.45312 | − | 6.45312i | −0.315632 | − | 0.315632i | ||||
\(419\) | − | 19.5930i | − | 0.957183i | −0.878038 | − | 0.478591i | \(-0.841148\pi\) | ||
0.878038 | − | 0.478591i | \(-0.158852\pi\) | |||||||
\(420\) | 2.44196 | − | 2.14179i | 0.119155 | − | 0.104509i | ||||
\(421\) | −38.7080 | + | 10.3718i | −1.88651 | + | 0.505489i | −0.887511 | + | 0.460787i | \(0.847567\pi\) |
−0.999000 | + | 0.0447018i | \(0.985766\pi\) | |||||||
\(422\) | 2.95006 | + | 0.790465i | 0.143606 | + | 0.0384792i | ||||
\(423\) | −2.26776 | − | 17.2100i | −0.110262 | − | 0.836778i | ||||
\(424\) | 6.54516 | − | 6.54516i | 0.317861 | − | 0.317861i | ||||
\(425\) | 26.6213i | 1.29132i | ||||||||
\(426\) | 8.83679 | − | 1.75828i | 0.428144 | − | 0.0851888i | ||||
\(427\) | −25.4340 | + | 25.4340i | −1.23084 | + | 1.23084i | ||||
\(428\) | 0.986064 | + | 1.70791i | 0.0476632 | + | 0.0825551i | ||||
\(429\) | 3.96527 | + | 10.2001i | 0.191445 | + | 0.492468i | ||||
\(430\) | 2.38452 | − | 4.13011i | 0.114992 | − | 0.199172i | ||||
\(431\) | 0.489822 | + | 1.82804i | 0.0235939 | + | 0.0880536i | 0.976719 | − | 0.214523i | \(-0.0688198\pi\) |
−0.953125 | + | 0.302577i | \(0.902153\pi\) | |||||||
\(432\) | 11.1151 | − | 22.5490i | 0.534774 | − | 1.08489i | ||||
\(433\) | 8.22301 | − | 4.74756i | 0.395173 | − | 0.228153i | −0.289226 | − | 0.957261i | \(-0.593398\pi\) |
0.684399 | + | 0.729108i | \(0.260065\pi\) | |||||||
\(434\) | −2.12373 | − | 7.92587i | −0.101942 | − | 0.380454i | ||||
\(435\) | −0.459652 | + | 0.688005i | −0.0220386 | + | 0.0329873i | ||||
\(436\) | 0.142199 | + | 0.530695i | 0.00681011 | + | 0.0254157i | ||||
\(437\) | −6.68449 | + | 24.9469i | −0.319763 | + | 1.19337i | ||||
\(438\) | −4.55781 | + | 13.4294i | −0.217781 | + | 0.641683i | ||||
\(439\) | 5.45516 | − | 3.14954i | 0.260361 | − | 0.150319i | −0.364138 | − | 0.931345i | \(-0.618636\pi\) |
0.624499 | + | 0.781025i | \(0.285303\pi\) | |||||||
\(440\) | −2.73338 | + | 0.732408i | −0.130309 | + | 0.0349162i | ||||
\(441\) | −36.5489 | − | 4.80746i | −1.74042 | − | 0.228927i | ||||
\(442\) | 5.97771 | + | 33.9355i | 0.284330 | + | 1.61415i | ||||
\(443\) | −5.45146 | − | 3.14740i | −0.259007 | − | 0.149538i | 0.364875 | − | 0.931057i | \(-0.381112\pi\) |
−0.623881 | + | 0.781519i | \(0.714445\pi\) | |||||||
\(444\) | 0.0265072 | + | 0.0537434i | 0.00125797 | + | 0.00255055i | ||||
\(445\) | 3.61776 | 0.171498 | ||||||||
\(446\) | −12.2589 | + | 21.2331i | −0.580477 | + | 1.00542i | ||||
\(447\) | 8.26414 | + | 5.52123i | 0.390880 | + | 0.261145i | ||||
\(448\) | 13.6456 | + | 13.6456i | 0.644694 | + | 0.644694i | ||||
\(449\) | −9.61952 | + | 35.9005i | −0.453973 | + | 1.69425i | 0.237115 | + | 0.971481i | \(0.423798\pi\) |
−0.691089 | + | 0.722770i | \(0.742869\pi\) | |||||||
\(450\) | 17.2204 | − | 13.2168i | 0.811778 | − | 0.623048i | ||||
\(451\) | 1.74439 | + | 3.02137i | 0.0821401 | + | 0.142271i | ||||
\(452\) | −5.39414 | − | 9.34293i | −0.253719 | − | 0.439455i | ||||
\(453\) | 32.3621 | + | 21.6210i | 1.52050 | + | 1.01584i | ||||
\(454\) | 27.8109 | − | 16.0566i | 1.30523 | − | 0.753575i | ||||
\(455\) | −10.2542 | + | 4.77946i | −0.480725 | + | 0.224065i | ||||
\(456\) | 4.06527 | − | 11.9782i | 0.190373 | − | 0.560929i | ||||
\(457\) | 1.79799 | − | 6.71017i | 0.0841062 | − | 0.313889i | −0.911037 | − | 0.412324i | \(-0.864717\pi\) |
0.995143 | + | 0.0984354i | \(0.0313838\pi\) | |||||||
\(458\) | −11.6148 | − | 6.70580i | −0.542723 | − | 0.313341i | ||||
\(459\) | 13.6226 | − | 27.6361i | 0.635851 | − | 1.28994i | ||||
\(460\) | −2.41341 | − | 2.41341i | −0.112526 | − | 0.112526i | ||||
\(461\) | −8.84076 | + | 8.84076i | −0.411755 | + | 0.411755i | −0.882350 | − | 0.470594i | \(-0.844040\pi\) |
0.470594 | + | 0.882350i | \(0.344040\pi\) | |||||||
\(462\) | −17.8646 | − | 11.9352i | −0.831135 | − | 0.555277i | ||||
\(463\) | −19.1811 | − | 5.13957i | −0.891423 | − | 0.238856i | −0.216094 | − | 0.976373i | \(-0.569332\pi\) |
−0.675329 | + | 0.737517i | \(0.735998\pi\) | |||||||
\(464\) | 2.80155 | + | 1.61747i | 0.130059 | + | 0.0750893i | ||||
\(465\) | 0.279943 | + | 1.40694i | 0.0129820 | + | 0.0652454i | ||||
\(466\) | −19.0873 | − | 5.11443i | −0.884203 | − | 0.236922i | ||||
\(467\) | 17.4746 | 0.808628 | 0.404314 | − | 0.914620i | \(-0.367510\pi\) | ||||
0.404314 | + | 0.914620i | \(0.367510\pi\) | |||||||
\(468\) | 4.36775 | − | 4.76602i | 0.201899 | − | 0.220309i | ||||
\(469\) | 53.1990 | 2.45650 | ||||||||
\(470\) | 6.43590 | + | 1.72449i | 0.296866 | + | 0.0795450i | ||||
\(471\) | −12.4702 | − | 4.23227i | −0.574598 | − | 0.195013i | ||||
\(472\) | −2.72131 | − | 1.57115i | −0.125258 | − | 0.0723179i | ||||
\(473\) | −7.01038 | − | 1.87843i | −0.322338 | − | 0.0863702i | ||||
\(474\) | −1.68954 | + | 25.8003i | −0.0776033 | + | 1.18505i | ||||
\(475\) | 10.2576 | − | 10.2576i | 0.470652 | − | 0.470652i | ||||
\(476\) | −11.0055 | − | 11.0055i | −0.504435 | − | 0.504435i | ||||
\(477\) | −12.1811 | − | 1.60224i | −0.557736 | − | 0.0733617i | ||||
\(478\) | 13.1819 | + | 7.61060i | 0.602928 | + | 0.348101i | ||||
\(479\) | 7.19802 | − | 26.8634i | 0.328886 | − | 1.22742i | −0.581461 | − | 0.813574i | \(-0.697519\pi\) |
0.910347 | − | 0.413845i | \(-0.135814\pi\) | |||||||
\(480\) | 2.67426 | + | 3.04905i | 0.122063 | + | 0.139169i | ||||
\(481\) | −0.0362083 | − | 0.205555i | −0.00165096 | − | 0.00937249i | ||||
\(482\) | 7.58364 | − | 4.37842i | 0.345425 | − | 0.199431i | ||||
\(483\) | −3.97313 | + | 60.6719i | −0.180783 | + | 2.76067i | ||||
\(484\) | 2.36945 | + | 4.10400i | 0.107702 | + | 0.186545i | ||||
\(485\) | −4.68143 | − | 8.10848i | −0.212573 | − | 0.368187i | ||||
\(486\) | −24.6401 | + | 4.90863i | −1.11770 | + | 0.222660i | ||||
\(487\) | 3.96000 | − | 14.7789i | 0.179445 | − | 0.669696i | −0.816307 | − | 0.577618i | \(-0.803982\pi\) |
0.995752 | − | 0.0920783i | \(-0.0293510\pi\) | |||||||
\(488\) | −13.0893 | − | 13.0893i | −0.592524 | − | 0.592524i | ||||
\(489\) | 5.63471 | − | 2.77914i | 0.254810 | − | 0.125677i | ||||
\(490\) | 7.07484 | − | 12.2540i | 0.319609 | − | 0.553578i | ||||
\(491\) | −34.3549 | −1.55041 | −0.775207 | − | 0.631707i | \(-0.782355\pi\) | ||||
−0.775207 | + | 0.631707i | \(0.782355\pi\) | |||||||
\(492\) | 1.14487 | − | 1.71363i | 0.0516146 | − | 0.0772564i | ||||
\(493\) | 3.43358 | + | 1.98238i | 0.154641 | + | 0.0892819i | ||||
\(494\) | 10.7726 | − | 15.3792i | 0.484681 | − | 0.691943i | ||||
\(495\) | 2.98015 | + | 2.28621i | 0.133948 | + | 0.102757i | ||||
\(496\) | 5.41739 | − | 1.45158i | 0.243248 | − | 0.0651781i | ||||
\(497\) | 12.2757 | − | 7.08739i | 0.550641 | − | 0.317913i | ||||
\(498\) | 15.8734 | + | 18.0981i | 0.711305 | + | 0.810993i | ||||
\(499\) | −8.85813 | + | 33.0590i | −0.396545 | + | 1.47992i | 0.422589 | + | 0.906321i | \(0.361121\pi\) |
−0.819133 | + | 0.573603i | \(0.805545\pi\) | |||||||
\(500\) | 1.04875 | + | 3.91400i | 0.0469017 | + | 0.175040i | ||||
\(501\) | −36.3574 | − | 2.38088i | −1.62433 | − | 0.106370i | ||||
\(502\) | −6.97050 | − | 26.0143i | −0.311109 | − | 1.16107i | ||||
\(503\) | −24.2079 | + | 13.9764i | −1.07938 | + | 0.623179i | −0.930728 | − | 0.365711i | \(-0.880826\pi\) |
−0.148649 | + | 0.988890i | \(0.547492\pi\) | |||||||
\(504\) | 3.88351 | − | 29.5246i | 0.172985 | − | 1.31513i | ||||
\(505\) | −2.26218 | − | 8.44257i | −0.100666 | − | 0.375690i | ||||
\(506\) | −11.2878 | + | 19.5511i | −0.501804 | + | 0.869151i | ||||
\(507\) | −19.2531 | + | 11.6755i | −0.855061 | + | 0.518528i | ||||
\(508\) | 0.221809 | + | 0.384184i | 0.00984118 | + | 0.0170454i | ||||
\(509\) | −11.2497 | + | 11.2497i | −0.498634 | + | 0.498634i | −0.911012 | − | 0.412379i | \(-0.864698\pi\) |
0.412379 | + | 0.911012i | \(0.364698\pi\) | |||||||
\(510\) | 7.79825 | + | 8.89117i | 0.345313 | + | 0.393708i | ||||
\(511\) | 22.3111i | 0.986987i | ||||||||
\(512\) | −4.25246 | + | 4.25246i | −0.187934 | + | 0.187934i | ||||
\(513\) | −15.8976 | + | 5.39960i | −0.701898 | + | 0.238398i | ||||
\(514\) | 28.3669 | + | 7.60088i | 1.25121 | + | 0.335260i | ||||
\(515\) | 7.43894 | − | 1.99326i | 0.327799 | − | 0.0878334i | ||||
\(516\) | 0.836643 | + | 4.20482i | 0.0368311 | + | 0.185107i | ||||
\(517\) | − | 10.1399i | − | 0.445951i | ||||||
\(518\) | 0.289741 | + | 0.289741i | 0.0127305 | + | 0.0127305i | ||||
\(519\) | 23.8683 | − | 20.9343i | 1.04770 | − | 0.918915i | ||||
\(520\) | −2.45969 | − | 5.27720i | −0.107865 | − | 0.231421i | ||||
\(521\) | − | 42.9931i | − | 1.88356i | −0.336227 | − | 0.941781i | \(-0.609151\pi\) | ||
0.336227 | − | 0.941781i | \(-0.390849\pi\) | |||||||
\(522\) | −0.422359 | − | 3.20527i | −0.0184861 | − | 0.140291i | ||||
\(523\) | 12.4275 | − | 21.5251i | 0.543417 | − | 0.941226i | −0.455288 | − | 0.890344i | \(-0.650464\pi\) |
0.998705 | − | 0.0508813i | \(-0.0162030\pi\) | |||||||
\(524\) | −2.74166 | −0.119770 | ||||||||
\(525\) | 18.9717 | − | 28.3968i | 0.827995 | − | 1.23934i | ||||
\(526\) | 5.13929 | − | 1.37707i | 0.224084 | − | 0.0600430i | ||||
\(527\) | 6.63956 | − | 1.77907i | 0.289224 | − | 0.0774973i | ||||
\(528\) | 8.15782 | − | 12.2106i | 0.355023 | − | 0.531397i | ||||
\(529\) | 40.8891 | 1.77779 | ||||||||
\(530\) | 2.35792 | − | 4.08404i | 0.102422 | − | 0.177399i | ||||
\(531\) | 0.544882 | + | 4.13510i | 0.0236459 | + | 0.179448i | ||||
\(532\) | 8.48117i | 0.367705i | ||||||||
\(533\) | −5.49955 | + | 4.61305i | −0.238212 | + | 0.199814i | ||||
\(534\) | −10.6272 | + | 9.32086i | −0.459883 | + | 0.403353i | ||||
\(535\) | −1.66703 | − | 1.66703i | −0.0720719 | − | 0.0720719i | ||||
\(536\) | 27.3782i | 1.18256i | ||||||||
\(537\) | −5.81520 | − | 29.2261i | −0.250944 | − | 1.26120i | ||||
\(538\) | 23.3324 | − | 6.25188i | 1.00593 | − | 0.269538i | ||||
\(539\) | −20.7997 | − | 5.57326i | −0.895906 | − | 0.240057i | ||||
\(540\) | 0.432485 | − | 2.17622i | 0.0186112 | − | 0.0936496i | ||||
\(541\) | 27.8867 | − | 27.8867i | 1.19894 | − | 1.19894i | 0.224459 | − | 0.974484i | \(-0.427938\pi\) |
0.974484 | − | 0.224459i | \(-0.0720615\pi\) | |||||||
\(542\) | − | 42.2089i | − | 1.81303i | ||||||
\(543\) | −1.24482 | − | 1.41928i | −0.0534203 | − | 0.0609071i | ||||
\(544\) | 13.7415 | − | 13.7415i | 0.589163 | − | 0.589163i | ||||
\(545\) | −0.328393 | − | 0.568794i | −0.0140668 | − | 0.0243644i | ||||
\(546\) | 17.8078 | − | 40.4588i | 0.762105 | − | 1.73148i | ||||
\(547\) | −8.19854 | + | 14.2003i | −0.350544 | + | 0.607161i | −0.986345 | − | 0.164693i | \(-0.947337\pi\) |
0.635801 | + | 0.771853i | \(0.280670\pi\) | |||||||
\(548\) | 0.686851 | + | 2.56336i | 0.0293408 | + | 0.109501i | ||||
\(549\) | −3.20424 | + | 24.3603i | −0.136753 | + | 1.03967i | ||||
\(550\) | 10.9814 | − | 6.34014i | 0.468250 | − | 0.270345i | ||||
\(551\) | −0.559172 | − | 2.08686i | −0.0238215 | − | 0.0889031i | ||||
\(552\) | −31.2240 | − | 2.04472i | −1.32898 | − | 0.0870291i | ||||
\(553\) | 10.5279 | + | 39.2906i | 0.447691 | + | 1.67080i | ||||
\(554\) | −7.68980 | + | 28.6987i | −0.326708 | + | 1.21929i | ||||
\(555\) | −0.0472358 | − | 0.0538558i | −0.00200505 | − | 0.00228605i | ||||
\(556\) | 11.6163 | − | 6.70667i | 0.492641 | − | 0.284426i | ||||
\(557\) | 3.78199 | − | 1.01338i | 0.160248 | − | 0.0429384i | −0.177803 | − | 0.984066i | \(-0.556899\pi\) |
0.338051 | + | 0.941128i | \(0.390232\pi\) | |||||||
\(558\) | −4.44720 | − | 3.41164i | −0.188265 | − | 0.144426i | ||||
\(559\) | 1.30403 | − | 14.8755i | 0.0551544 | − | 0.629168i | ||||
\(560\) | 13.1470 | + | 7.59044i | 0.555563 | + | 0.320754i | ||||
\(561\) | 9.99824 | − | 14.9653i | 0.422126 | − | 0.631835i | ||||
\(562\) | −44.8696 | −1.89271 | ||||||||
\(563\) | −16.8089 | + | 29.1139i | −0.708412 | + | 1.22701i | 0.257034 | + | 0.966402i | \(0.417255\pi\) |
−0.965446 | + | 0.260603i | \(0.916079\pi\) | |||||||
\(564\) | −5.37194 | + | 2.64953i | −0.226199 | + | 0.111565i | ||||
\(565\) | 9.11927 | + | 9.11927i | 0.383651 | + | 0.383651i | ||||
\(566\) | −3.32932 | + | 12.4252i | −0.139942 | + | 0.522269i | ||||
\(567\) | −34.2261 | + | 19.7710i | −1.43736 | + | 0.830304i | ||||
\(568\) | 3.64744 | + | 6.31755i | 0.153043 | + | 0.265078i | ||||
\(569\) | −18.2286 | − | 31.5729i | −0.764183 | − | 1.32360i | −0.940678 | − | 0.339302i | \(-0.889809\pi\) |
0.176495 | − | 0.984302i | \(-0.443524\pi\) | |||||||
\(570\) | 0.421118 | − | 6.43070i | 0.0176387 | − | 0.269353i | ||||
\(571\) | 11.6292 | − | 6.71410i | 0.486665 | − | 0.280976i | −0.236525 | − | 0.971625i | \(-0.576008\pi\) |
0.723190 | + | 0.690649i | \(0.242675\pi\) | |||||||
\(572\) | 2.89320 | − | 2.42683i | 0.120971 | − | 0.101471i | ||||
\(573\) | 3.19965 | + | 3.64808i | 0.133667 | + | 0.152401i | ||||
\(574\) | 3.64728 | − | 13.6118i | 0.152234 | − | 0.568146i | ||||
\(575\) | −31.0775 | − | 17.9426i | −1.29602 | − | 0.748259i | ||||
\(576\) | 13.0696 | + | 1.71911i | 0.544565 | + | 0.0716294i | ||||
\(577\) | 16.9279 | + | 16.9279i | 0.704716 | + | 0.704716i | 0.965419 | − | 0.260703i | \(-0.0839544\pi\) |
−0.260703 | + | 0.965419i | \(0.583954\pi\) | |||||||
\(578\) | 20.6966 | − | 20.6966i | 0.860867 | − | 0.860867i | ||||
\(579\) | −0.289089 | + | 4.41456i | −0.0120141 | + | 0.183463i | ||||
\(580\) | 0.275782 | + | 0.0738956i | 0.0114512 | + | 0.00306835i | ||||
\(581\) | 32.7982 | + | 18.9360i | 1.36070 | + | 0.785600i | ||||
\(582\) | 34.6426 | + | 11.7573i | 1.43598 | + | 0.487357i | ||||
\(583\) | −6.93218 | − | 1.85747i | −0.287102 | − | 0.0769287i | ||||
\(584\) | −11.4822 | −0.475135 | ||||||||
\(585\) | −3.56881 | + | 6.85466i | −0.147552 | + | 0.283406i | ||||
\(586\) | −48.5485 | −2.00552 | ||||||||
\(587\) | 16.6205 | + | 4.45344i | 0.686000 | + | 0.183813i | 0.584951 | − | 0.811069i | \(-0.301114\pi\) |
0.101048 | + | 0.994882i | \(0.467780\pi\) | |||||||
\(588\) | 2.48230 | + | 12.4756i | 0.102369 | + | 0.514486i | ||||
\(589\) | −3.24383 | − | 1.87283i | −0.133660 | − | 0.0771685i | ||||
\(590\) | −1.54637 | − | 0.414350i | −0.0636632 | − | 0.0170585i | ||||
\(591\) | −8.28428 | − | 5.53469i | −0.340770 | − | 0.227667i | ||||
\(592\) | −0.198040 | + | 0.198040i | −0.00813940 | + | 0.00813940i | ||||
\(593\) | −6.78670 | − | 6.78670i | −0.278696 | − | 0.278696i | 0.553892 | − | 0.832589i | \(-0.313142\pi\) |
−0.832589 | + | 0.553892i | \(0.813142\pi\) | |||||||
\(594\) | −14.6444 | + | 0.962395i | −0.600868 | + | 0.0394875i | ||||
\(595\) | 16.1130 | + | 9.30286i | 0.660569 | + | 0.381380i | ||||
\(596\) | 0.887615 | − | 3.31262i | 0.0363581 | − | 0.135690i | ||||
\(597\) | 1.39428 | − | 4.10821i | 0.0570643 | − | 0.168138i | ||||
\(598\) | −43.6450 | − | 15.8940i | −1.78478 | − | 0.649955i | ||||
\(599\) | 5.90268 | − | 3.40791i | 0.241177 | − | 0.139244i | −0.374541 | − | 0.927210i | \(-0.622200\pi\) |
0.615718 | + | 0.787967i | \(0.288866\pi\) | |||||||
\(600\) | 14.6141 | + | 9.76358i | 0.596616 | + | 0.398596i | ||||
\(601\) | 2.00814 | + | 3.47821i | 0.0819139 | + | 0.141879i | 0.904072 | − | 0.427380i | \(-0.140563\pi\) |
−0.822158 | + | 0.569259i | \(0.807230\pi\) | |||||||
\(602\) | 14.6577 | + | 25.3879i | 0.597405 | + | 1.03474i | ||||
\(603\) | 28.8277 | − | 22.1256i | 1.17396 | − | 0.901024i | ||||
\(604\) | 3.47587 | − | 12.9721i | 0.141431 | − | 0.527829i | ||||
\(605\) | −4.00576 | − | 4.00576i | −0.162857 | − | 0.162857i | ||||
\(606\) | 28.3968 | + | 18.9717i | 1.15354 | + | 0.770674i | ||||
\(607\) | 10.8153 | − | 18.7326i | 0.438979 | − | 0.760333i | −0.558632 | − | 0.829415i | \(-0.688674\pi\) |
0.997611 | + | 0.0690822i | \(0.0220071\pi\) | |||||||
\(608\) | −10.5897 | −0.429467 | ||||||||
\(609\) | −2.24983 | − | 4.56154i | −0.0911678 | − | 0.184843i | ||||
\(610\) | −8.16744 | − | 4.71547i | −0.330690 | − | 0.190924i | ||||
\(611\) | 20.5463 | − | 3.61921i | 0.831214 | − | 0.146418i | ||||
\(612\) | −10.5409 | − | 1.38650i | −0.426090 | − | 0.0560458i | ||||
\(613\) | −43.4028 | + | 11.6297i | −1.75302 | + | 0.469721i | −0.985267 | − | 0.171024i | \(-0.945292\pi\) |
−0.767754 | + | 0.640745i | \(0.778626\pi\) | |||||||
\(614\) | 19.5789 | − | 11.3039i | 0.790140 | − | 0.456187i | ||||
\(615\) | −0.791775 | + | 2.33294i | −0.0319274 | + | 0.0940731i | ||||
\(616\) | 4.50213 | − | 16.8022i | 0.181396 | − | 0.676979i | ||||
\(617\) | 0.337260 | + | 1.25867i | 0.0135776 | + | 0.0506723i | 0.972382 | − | 0.233394i | \(-0.0749831\pi\) |
−0.958805 | + | 0.284066i | \(0.908316\pi\) | |||||||
\(618\) | −16.7164 | + | 25.0210i | −0.672433 | + | 1.00649i | ||||
\(619\) | 5.84752 | + | 21.8232i | 0.235032 | + | 0.877150i | 0.978135 | + | 0.207973i | \(0.0666866\pi\) |
−0.743103 | + | 0.669177i | \(0.766647\pi\) | |||||||
\(620\) | 0.428679 | − | 0.247498i | 0.0172161 | − | 0.00993975i | ||||
\(621\) | 23.0806 | + | 34.5296i | 0.926192 | + | 1.38562i | ||||
\(622\) | −3.93267 | − | 14.6769i | −0.157686 | − | 0.588491i | ||||
\(623\) | −11.1192 | + | 19.2591i | −0.445483 | + | 0.771599i | ||||
\(624\) | 27.6539 | + | 12.1718i | 1.10704 | + | 0.487262i | ||||
\(625\) | 8.80189 | + | 15.2453i | 0.352076 | + | 0.609813i | ||||
\(626\) | 9.58669 | − | 9.58669i | 0.383161 | − | 0.383161i | ||||
\(627\) | −9.61885 | + | 1.91389i | −0.384140 | + | 0.0764332i | ||||
\(628\) | 4.54404i | 0.181327i | ||||||||
\(629\) | −0.242718 | + | 0.242718i | −0.00967782 | + | 0.00967782i | ||||
\(630\) | −1.98203 | − | 15.0416i | −0.0789661 | − | 0.599272i | ||||
\(631\) | −5.14920 | − | 1.37972i | −0.204986 | − | 0.0549259i | 0.154865 | − | 0.987936i | \(-0.450506\pi\) |
−0.359851 | + | 0.933010i | \(0.617173\pi\) | |||||||
\(632\) | −20.2204 | + | 5.41804i | −0.804325 | + | 0.215518i | ||||
\(633\) | 2.46751 | − | 2.16420i | 0.0980748 | − | 0.0860193i | ||||
\(634\) | 15.4796i | 0.614773i | ||||||||
\(635\) | −0.374988 | − | 0.374988i | −0.0148809 | − | 0.0148809i | ||||
\(636\) | 0.827310 | + | 4.15791i | 0.0328050 | + | 0.164872i | ||||
\(637\) | 3.86902 | − | 44.1354i | 0.153296 | − | 1.74871i | ||||
\(638\) | − | 1.88850i | − | 0.0747664i | ||||||
\(639\) | 3.70436 | − | 8.94604i | 0.146542 | − | 0.353900i | ||||
\(640\) | −4.87143 | + | 8.43757i | −0.192560 | + | 0.333524i | ||||
\(641\) | 15.8415 | 0.625700 | 0.312850 | − | 0.949803i | \(-0.398716\pi\) | ||||
0.312850 | + | 0.949803i | \(0.398716\pi\) | |||||||
\(642\) | 9.19185 | + | 0.601933i | 0.362773 | + | 0.0237564i | ||||
\(643\) | 12.7912 | − | 3.42738i | 0.504434 | − | 0.135163i | 0.00237717 | − | 0.999997i | \(-0.499243\pi\) |
0.502057 | + | 0.864834i | \(0.332577\pi\) | |||||||
\(644\) | 20.2654 | − | 5.43009i | 0.798567 | − | 0.213975i | ||||
\(645\) | −2.26703 | − | 4.59642i | −0.0892643 | − | 0.180984i | ||||
\(646\) | −30.8799 | −1.21495 | ||||||||
\(647\) | 8.92652 | − | 15.4612i | 0.350938 | − | 0.607842i | −0.635476 | − | 0.772120i | \(-0.719196\pi\) |
0.986414 | + | 0.164278i | \(0.0525296\pi\) | |||||||
\(648\) | −10.1749 | − | 17.6141i | −0.399708 | − | 0.691946i | ||||
\(649\) | 2.43634i | 0.0956346i | ||||||||
\(650\) | 16.7666 | + | 19.9886i | 0.657638 | + | 0.784017i | ||||
\(651\) | −8.35024 | − | 2.83399i | −0.327272 | − | 0.111073i | ||||
\(652\) | −1.53296 | − | 1.53296i | −0.0600355 | − | 0.0600355i | ||||
\(653\) | − | 24.2387i | − | 0.948534i | −0.880381 | − | 0.474267i | \(-0.842713\pi\) | ||
0.880381 | − | 0.474267i | \(-0.157287\pi\) | |||||||
\(654\) | 2.43010 | + | 0.824753i | 0.0950246 | + | 0.0322504i | ||||
\(655\) | 3.16577 | − | 0.848267i | 0.123697 | − | 0.0331445i | ||||
\(656\) | 9.30378 | + | 2.49294i | 0.363251 | + | 0.0973329i | ||||
\(657\) | 9.27925 | + | 12.0901i | 0.362018 | + | 0.471678i | ||||
\(658\) | −28.9612 | + | 28.9612i | −1.12902 | + | 1.12902i | ||||
\(659\) | − | 28.8750i | − | 1.12481i | −0.826862 | − | 0.562405i | \(-0.809876\pi\) | ||
0.826862 | − | 0.562405i | \(-0.190124\pi\) | |||||||
\(660\) | 0.416536 | − | 1.22731i | 0.0162137 | − | 0.0477729i | ||||
\(661\) | 7.00438 | − | 7.00438i | 0.272439 | − | 0.272439i | −0.557642 | − | 0.830081i | \(-0.688294\pi\) |
0.830081 | + | 0.557642i | \(0.188294\pi\) | |||||||
\(662\) | −3.73038 | − | 6.46120i | −0.144985 | − | 0.251122i | ||||
\(663\) | 33.8927 | + | 14.9178i | 1.31628 | + | 0.579358i | ||||
\(664\) | −9.74521 | + | 16.8792i | −0.378187 | + | 0.655040i | ||||
\(665\) | −2.62407 | − | 9.79315i | −0.101757 | − | 0.379762i | ||||
\(666\) | 0.277510 | + | 0.0365023i | 0.0107533 | + | 0.00141443i | ||||
\(667\) | −4.62844 | + | 2.67223i | −0.179214 | + | 0.103469i | ||||
\(668\) | 3.25396 | + | 12.1439i | 0.125899 | + | 0.469863i | ||||
\(669\) | 11.6549 | + | 23.6304i | 0.450605 | + | 0.913603i | ||||
\(670\) | 3.61016 | + | 13.4733i | 0.139472 | + | 0.520518i | ||||
\(671\) | −3.71465 | + | 13.8633i | −0.143403 | + | 0.535186i | ||||
\(672\) | −24.4509 | + | 4.86506i | −0.943216 | + | 0.187674i | ||||
\(673\) | 3.77343 | − | 2.17859i | 0.145455 | − | 0.0839785i | −0.425506 | − | 0.904955i | \(-0.639904\pi\) |
0.570961 | + | 0.820977i | \(0.306571\pi\) | |||||||
\(674\) | −35.6446 | + | 9.55095i | −1.37298 | + | 0.367889i | ||||
\(675\) | −1.52978 | − | 23.2782i | −0.0588814 | − | 0.895977i | ||||
\(676\) | 5.95013 | + | 4.99625i | 0.228851 | + | 0.192163i | ||||
\(677\) | 0.418860 | + | 0.241829i | 0.0160981 | + | 0.00929424i | 0.508027 | − | 0.861341i | \(-0.330375\pi\) |
−0.491929 | + | 0.870635i | \(0.663708\pi\) | |||||||
\(678\) | −50.2829 | − | 3.29280i | −1.93110 | − | 0.126459i | ||||
\(679\) | 57.5538 | 2.20871 | ||||||||
\(680\) | −4.78760 | + | 8.29237i | −0.183596 | + | 0.317998i | ||||
\(681\) | 2.25512 | − | 34.4369i | 0.0864163 | − | 1.31963i | ||||
\(682\) | −2.31516 | − | 2.31516i | −0.0886520 | − | 0.0886520i | ||||
\(683\) | 9.36965 | − | 34.9680i | 0.358520 | − | 1.33801i | −0.517477 | − | 0.855697i | \(-0.673129\pi\) |
0.875997 | − | 0.482317i | \(-0.160205\pi\) | |||||||
\(684\) | 3.52734 | + | 4.59582i | 0.134871 | + | 0.175725i | ||||
\(685\) | −1.58620 | − | 2.74739i | −0.0606057 | − | 0.104972i | ||||
\(686\) | 18.7149 | + | 32.4152i | 0.714539 | + | 1.23762i | ||||
\(687\) | −12.9261 | + | 6.37539i | −0.493162 | + | 0.243236i | ||||
\(688\) | −17.3528 | + | 10.0187i | −0.661571 | + | 0.381958i | ||||
\(689\) | 1.28948 | − | 14.7096i | 0.0491252 | − | 0.560391i | ||||
\(690\) | −15.6355 | + | 3.11103i | −0.595233 | + | 0.118435i | ||||
\(691\) | 5.17254 | − | 19.3042i | 0.196773 | − | 0.734365i | −0.795028 | − | 0.606572i | \(-0.792544\pi\) |
0.991801 | − | 0.127793i | \(-0.0407892\pi\) | |||||||
\(692\) | −9.48728 | − | 5.47749i | −0.360652 | − | 0.208223i | ||||
\(693\) | −21.3301 | + | 8.83811i | −0.810265 | + | 0.335732i | ||||
\(694\) | −27.5377 | − | 27.5377i | −1.04532 | − | 1.04532i | ||||
\(695\) | −11.3382 | + | 11.3382i | −0.430083 | + | 0.430083i | ||||
\(696\) | 2.34754 | − | 1.15785i | 0.0889834 | − | 0.0438882i | ||||
\(697\) | 11.4027 | + | 3.05535i | 0.431909 | + | 0.115730i | ||||
\(698\) | −17.8398 | − | 10.2998i | −0.675248 | − | 0.389855i | ||||
\(699\) | −15.9652 | + | 14.0027i | −0.603859 | + | 0.529632i | ||||
\(700\) | −11.3827 | − | 3.04997i | −0.430224 | − | 0.115278i | ||||
\(701\) | −35.3690 | −1.33587 | −0.667933 | − | 0.744221i | \(-0.732821\pi\) | ||||
−0.667933 | + | 0.744221i | \(0.732821\pi\) | |||||||
\(702\) | −7.17711 | − | 29.3303i | −0.270883 | − | 1.10700i | ||||
\(703\) | 0.187047 | 0.00705460 | ||||||||
\(704\) | 7.43779 | + | 1.99295i | 0.280322 | + | 0.0751121i | ||||
\(705\) | 5.38317 | − | 4.72147i | 0.202742 | − | 0.177821i | ||||
\(706\) | −28.6438 | − | 16.5375i | −1.07803 | − | 0.622398i | ||||
\(707\) | 51.8968 | + | 13.9057i | 1.95178 | + | 0.522977i | ||||
\(708\) | 1.29073 | − | 0.636611i | 0.0485087 | − | 0.0239253i | ||||
\(709\) | −33.6112 | + | 33.6112i | −1.26229 | + | 1.26229i | −0.312316 | + | 0.949978i | \(0.601105\pi\) |
−0.949978 | + | 0.312316i | \(0.898895\pi\) | |||||||
\(710\) | 2.62801 | + | 2.62801i | 0.0986275 | + | 0.0986275i | ||||
\(711\) | 22.0459 | + | 16.9124i | 0.826787 | + | 0.634264i | ||||
\(712\) | −9.91146 | − | 5.72238i | −0.371447 | − | 0.214455i | ||||
\(713\) | −2.39816 | + | 8.95007i | −0.0898120 | + | 0.335183i | ||||
\(714\) | −71.3000 | + | 14.1867i | −2.66834 | + | 0.530925i | ||||
\(715\) | −2.58990 | + | 3.69740i | −0.0968566 | + | 0.138275i | ||||
\(716\) | −8.90486 | + | 5.14122i | −0.332790 | + | 0.192137i | ||||
\(717\) | 14.6702 | − | 7.23561i | 0.547870 | − | 0.270219i | ||||
\(718\) | 10.9320 | + | 18.9349i | 0.407980 | + | 0.706643i | ||||
\(719\) | 17.0324 | + | 29.5010i | 0.635201 | + | 1.10020i | 0.986472 | + | 0.163927i | \(0.0524162\pi\) |
−0.351271 | + | 0.936274i | \(0.614251\pi\) | |||||||
\(720\) | 10.2810 | − | 1.35473i | 0.383152 | − | 0.0504880i | ||||
\(721\) | −12.2526 | + | 45.7274i | −0.456311 | + | 1.70298i | ||||
\(722\) | −9.75505 | − | 9.75505i | −0.363045 | − | 0.363045i | ||||
\(723\) | 0.614939 | − | 9.39047i | 0.0228698 | − | 0.349235i | ||||
\(724\) | −0.325708 | + | 0.564142i | −0.0121048 | + | 0.0209662i | ||||
\(725\) | 3.00188 | 0.111487 | ||||||||
\(726\) | 22.0874 | + | 1.44640i | 0.819741 | + | 0.0536811i | ||||
\(727\) | −32.3631 | − | 18.6848i | −1.20028 | − | 0.692983i | −0.239663 | − | 0.970856i | \(-0.577037\pi\) |
−0.960618 | + | 0.277873i | \(0.910370\pi\) | |||||||
\(728\) | 35.6530 | + | 3.12543i | 1.32139 | + | 0.115836i | ||||
\(729\) | −10.3238 | + | 24.9483i | −0.382363 | + | 0.924012i | ||||
\(730\) | −5.65056 | + | 1.51406i | −0.209137 | + | 0.0560380i | ||||
\(731\) | −21.2677 | + | 12.2789i | −0.786613 | + | 0.454152i | ||||
\(732\) | 8.31517 | − | 1.65449i | 0.307337 | − | 0.0611517i | ||||
\(733\) | 3.00419 | − | 11.2118i | 0.110962 | − | 0.414116i | −0.887991 | − | 0.459861i | \(-0.847899\pi\) |
0.998953 | + | 0.0457444i | \(0.0145660\pi\) | |||||||
\(734\) | −5.34649 | − | 19.9534i | −0.197343 | − | 0.736493i | ||||
\(735\) | −6.72624 | − | 13.6375i | −0.248101 | − | 0.503026i | ||||
\(736\) | 6.78005 | + | 25.3035i | 0.249916 | + | 0.932699i | ||||
\(737\) | 18.3834 | − | 10.6137i | 0.677163 | − | 0.390960i | ||||
\(738\) | −3.68478 | − | 8.89295i | −0.135639 | − | 0.327354i | ||||
\(739\) | 0.0173171 | + | 0.0646284i | 0.000637021 | + | 0.00237739i | 0.966244 | − | 0.257630i | \(-0.0829416\pi\) |
−0.965607 | + | 0.260008i | \(0.916275\pi\) | |||||||
\(740\) | −0.0123593 | + | 0.0214069i | −0.000454336 | + | 0.000786933i | ||||
\(741\) | −7.31133 | − | 18.8074i | −0.268588 | − | 0.690909i | ||||
\(742\) | 14.4942 | + | 25.1047i | 0.532100 | + | 0.921624i | ||||
\(743\) | 29.1133 | − | 29.1133i | 1.06806 | − | 1.06806i | 0.0705540 | − | 0.997508i | \(-0.477523\pi\) |
0.997508 | − | 0.0705540i | \(-0.0224767\pi\) | |||||||
\(744\) | 1.45848 | − | 4.29735i | 0.0534704 | − | 0.157548i | ||||
\(745\) | 4.09969i | 0.150201i | ||||||||
\(746\) | 5.70065 | − | 5.70065i | 0.208716 | − | 0.208716i | ||||
\(747\) | 25.6484 | − | 3.37969i | 0.938425 | − | 0.123656i | ||||
\(748\) | −5.99874 | − | 1.60736i | −0.219336 | − | 0.0587708i | ||||
\(749\) | 13.9980 | − | 3.75076i | 0.511477 | − | 0.137050i | ||||
\(750\) | 17.9226 | + | 6.08275i | 0.654441 | + | 0.222111i | ||||
\(751\) | 3.51311i | 0.128195i | 0.997944 | + | 0.0640975i | \(0.0204169\pi\) | ||||
−0.997944 | + | 0.0640975i | \(0.979583\pi\) | |||||||
\(752\) | −19.7952 | − | 19.7952i | −0.721855 | − | 0.721855i | ||||
\(753\) | −27.4071 | − | 9.30170i | −0.998772 | − | 0.338973i | ||||
\(754\) | 3.82664 | − | 0.674060i | 0.139358 | − | 0.0245478i | ||||
\(755\) | 16.0543i | 0.584274i | ||||||||
\(756\) | 10.2558 | + | 8.99097i | 0.373001 | + | 0.326998i | ||||
\(757\) | 10.0417 | − | 17.3928i | 0.364973 | − | 0.632152i | −0.623799 | − | 0.781585i | \(-0.714411\pi\) |
0.988772 | + | 0.149433i | \(0.0477448\pi\) | |||||||
\(758\) | 23.5997 | 0.857180 | ||||||||
\(759\) | 10.7316 | + | 21.7584i | 0.389534 | + | 0.789781i | ||||
\(760\) | 5.03992 | − | 1.35044i | 0.182817 | − | 0.0489857i | ||||
\(761\) | 18.8637 | − | 5.05453i | 0.683810 | − | 0.183226i | 0.0998426 | − | 0.995003i | \(-0.468166\pi\) |
0.583968 | + | 0.811777i | \(0.301499\pi\) | |||||||
\(762\) | 2.06765 | + | 0.135401i | 0.0749031 | + | 0.00490506i | ||||
\(763\) | 4.03728 | 0.146160 | ||||||||
\(764\) | 0.837191 | − | 1.45006i | 0.0302885 | − | 0.0524613i | ||||
\(765\) | 12.6005 | − | 1.66036i | 0.455571 | − | 0.0600306i | ||||
\(766\) | − | 24.5694i | − | 0.887729i | ||||||
\(767\) | −4.93672 | + | 0.869600i | −0.178255 | + | 0.0313994i | ||||
\(768\) | −4.45846 | − | 22.4074i | −0.160881 | − | 0.808559i | ||||
\(769\) | −14.9643 | − | 14.9643i | −0.539625 | − | 0.539625i | 0.383794 | − | 0.923419i | \(-0.374617\pi\) |
−0.923419 | + | 0.383794i | \(0.874617\pi\) | |||||||
\(770\) | − | 8.86229i | − | 0.319375i | ||||||
\(771\) | 23.7269 | − | 20.8103i | 0.854502 | − | 0.749466i | ||||
\(772\) | 1.47453 | − | 0.395100i | 0.0530696 | − | 0.0142199i | ||||
\(773\) | 25.5328 | + | 6.84148i | 0.918349 | + | 0.246071i | 0.686880 | − | 0.726771i | \(-0.258980\pi\) |
0.231470 | + | 0.972842i | \(0.425647\pi\) | |||||||
\(774\) | 18.5017 | + | 7.66115i | 0.665030 | + | 0.275374i | ||||
\(775\) | 3.68008 | − | 3.68008i | 0.132192 | − | 0.132192i | ||||
\(776\) | 29.6194i | 1.06327i | ||||||||
\(777\) | 0.431880 | − | 0.0859323i | 0.0154936 | − | 0.00308280i | ||||
\(778\) | 14.4228 | − | 14.4228i | 0.517081 | − | 0.517081i | ||||
\(779\) | −3.21638 | − | 5.57093i | −0.115239 | − | 0.199599i | ||||
\(780\) | 2.63556 | + | 0.405960i | 0.0943681 | + | 0.0145357i | ||||
\(781\) | 2.82800 | − | 4.89823i | 0.101194 | − | 0.175272i | ||||
\(782\) | 19.7709 | + | 73.7862i | 0.707007 | + | 2.63859i | ||||
\(783\) | −3.11631 | − | 1.53612i | −0.111368 | − | 0.0548965i | ||||
\(784\) | −51.4856 | + | 29.7252i | −1.83877 | + | 1.06161i | ||||
\(785\) | −1.40592 | − | 5.24697i | −0.0501795 | − | 0.187272i | ||||
\(786\) | −7.11397 | + | 10.6481i | −0.253747 | + | 0.379807i | ||||
\(787\) | 2.75552 | + | 10.2837i | 0.0982237 | + | 0.366576i | 0.997488 | − | 0.0708289i | \(-0.0225644\pi\) |
−0.899265 | + | 0.437405i | \(0.855898\pi\) | |||||||
\(788\) | −0.889778 | + | 3.32070i | −0.0316970 | + | 0.118295i | ||||
\(789\) | 1.83761 | − | 5.41446i | 0.0654207 | − | 0.192760i | ||||
\(790\) | −9.23636 | + | 5.33262i | −0.328615 | + | 0.189726i | ||||
\(791\) | −76.5745 | + | 20.5181i | −2.72268 | + | 0.729539i | ||||
\(792\) | −4.54843 | − | 10.9773i | −0.161621 | − | 0.390061i | ||||
\(793\) | −29.4168 | − | 2.57875i | −1.04462 | − | 0.0915742i | ||||
\(794\) | 36.1296 | + | 20.8595i | 1.28219 | + | 0.740274i | ||||
\(795\) | −2.24174 | − | 4.54514i | −0.0795064 | − | 0.161200i | ||||
\(796\) | −1.49699 | −0.0530596 | ||||||||
\(797\) | −8.25442 | + | 14.2971i | −0.292387 | + | 0.506428i | −0.974374 | − | 0.224936i | \(-0.927783\pi\) |
0.681987 | + | 0.731364i | \(0.261116\pi\) | |||||||
\(798\) | 32.9394 | + | 22.0067i | 1.16604 | + | 0.779028i | ||||
\(799\) | −24.2610 | − | 24.2610i | −0.858292 | − | 0.858292i | ||||
\(800\) | 3.80822 | − | 14.2125i | 0.134641 | − | 0.502487i | ||||
\(801\) | 1.98455 | + | 15.0607i | 0.0701207 | + | 0.532144i | ||||
\(802\) | 15.4585 | + | 26.7749i | 0.545859 | + | 0.945456i | ||||
\(803\) | 4.45127 | + | 7.70983i | 0.157082 | + | 0.272074i | ||||
\(804\) | −10.4265 | − | 6.96591i | −0.367715 | − | 0.245669i | ||||
\(805\) | −21.7202 | + | 12.5402i | −0.765537 | + | 0.441983i | ||||
\(806\) | 3.86483 | − | 5.51752i | 0.136133 | − | 0.194346i | ||||
\(807\) | 8.34275 | − | 24.5816i | 0.293679 | − | 0.865314i | ||||
\(808\) | −7.15640 | + | 26.7080i | −0.251761 | + | 0.939585i | ||||
\(809\) | 23.6058 | + | 13.6288i | 0.829937 | + | 0.479164i | 0.853831 | − | 0.520550i | \(-0.174273\pi\) |
−0.0238940 | + | 0.999714i | \(0.507606\pi\) | |||||||
\(810\) | −7.32987 | − | 7.32648i | −0.257545 | − | 0.257426i | ||||
\(811\) | 8.22029 | + | 8.22029i | 0.288654 | + | 0.288654i | 0.836548 | − | 0.547894i | \(-0.184570\pi\) |
−0.547894 | + | 0.836548i | \(0.684570\pi\) | |||||||
\(812\) | −1.24100 | + | 1.24100i | −0.0435506 | + | 0.0435506i | ||||
\(813\) | −37.7169 | − | 25.1985i | −1.32279 | − | 0.883749i | ||||
\(814\) | 0.157929 | + | 0.0423169i | 0.00553540 | + | 0.00148321i | ||||
\(815\) | 2.24440 | + | 1.29581i | 0.0786179 | + | 0.0453901i | ||||
\(816\) | −9.69674 | − | 48.7341i | −0.339454 | − | 1.70603i | ||||
\(817\) | 12.9260 | + | 3.46352i | 0.452225 | + | 0.121173i | ||||
\(818\) | 27.1289 | 0.948539 | ||||||||
\(819\) | −25.5219 | − | 40.0664i | −0.891808 | − | 1.40003i | ||||
\(820\) | 0.850101 | 0.0296868 | ||||||||
\(821\) | −25.7863 | − | 6.90942i | −0.899948 | − | 0.241140i | −0.220954 | − | 0.975284i | \(-0.570917\pi\) |
−0.678994 | + | 0.734144i | \(0.737584\pi\) | |||||||
\(822\) | 11.7379 | + | 3.98372i | 0.409406 | + | 0.138948i | ||||
\(823\) | 22.6147 | + | 13.0566i | 0.788298 | + | 0.455124i | 0.839363 | − | 0.543571i | \(-0.182928\pi\) |
−0.0510651 | + | 0.998695i | \(0.516262\pi\) | |||||||
\(824\) | −23.5330 | − | 6.30566i | −0.819812 | − | 0.219668i | ||||
\(825\) | 0.890459 | − | 13.5978i | 0.0310018 | − | 0.473415i | ||||
\(826\) | 6.95859 | − | 6.95859i | 0.242120 | − | 0.242120i | ||||
\(827\) | −15.0891 | − | 15.0891i | −0.524701 | − | 0.524701i | 0.394287 | − | 0.918988i | \(-0.370992\pi\) |
−0.918988 | + | 0.394287i | \(0.870992\pi\) | |||||||
\(828\) | 8.72310 | − | 11.3709i | 0.303149 | − | 0.395166i | ||||
\(829\) | 12.8441 | + | 7.41555i | 0.446095 | + | 0.257553i | 0.706179 | − | 0.708033i | \(-0.250417\pi\) |
−0.260085 | + | 0.965586i | \(0.583751\pi\) | |||||||
\(830\) | −2.57005 | + | 9.59155i | −0.0892077 | + | 0.332928i | ||||
\(831\) | 21.0538 | + | 24.0044i | 0.730348 | + | 0.832705i | ||||
\(832\) | −1.38353 | + | 15.7824i | −0.0479652 | + | 0.547158i | ||||
\(833\) | −63.1008 | + | 36.4313i | −2.18631 | + | 1.26227i | ||||
\(834\) | 4.09402 | − | 62.5180i | 0.141764 | − | 2.16482i | ||||
\(835\) | −7.51465 | − | 13.0158i | −0.260055 | − | 0.450429i | ||||
\(836\) | 1.69207 | + | 2.93075i | 0.0585215 | + | 0.101362i | ||||
\(837\) | −5.70353 | + | 1.93719i | −0.197143 | + | 0.0669591i | ||||
\(838\) | −8.17315 | + | 30.5026i | −0.282337 | + | 1.05369i | ||||
\(839\) | −17.7360 | − | 17.7360i | −0.612315 | − | 0.612315i | 0.331234 | − | 0.943549i | \(-0.392535\pi\) |
−0.943549 | + | 0.331234i | \(0.892535\pi\) | |||||||
\(840\) | 11.0165 | − | 5.43352i | 0.380105 | − | 0.187474i | ||||
\(841\) | −14.2765 | + | 24.7276i | −0.492292 | + | 0.852674i | ||||
\(842\) | 64.5874 | 2.22583 | ||||||||
\(843\) | −26.7869 | + | 40.0945i | −0.922590 | + | 1.38093i | ||||
\(844\) | −0.980800 | − | 0.566265i | −0.0337605 | − | 0.0194917i | ||||
\(845\) | −8.41640 | − | 3.92817i | −0.289533 | − | 0.135133i | ||||
\(846\) | −3.64860 | + | 27.7386i | −0.125441 | + | 0.953673i | ||||
\(847\) | 33.6363 | − | 9.01283i | 1.15576 | − | 0.309684i | ||||
\(848\) | −17.1593 | + | 9.90691i | −0.589252 | + | 0.340205i | ||||
\(849\) | 9.11529 | + | 10.3928i | 0.312836 | + | 0.356679i | ||||
\(850\) | 11.1049 | − | 41.4442i | 0.380897 | − | 1.42153i | ||||
\(851\) | −0.119757 | − | 0.446939i | −0.00410522 | − | 0.0153209i | ||||
\(852\) | −3.33395 | − | 0.218325i | −0.114219 | − | 0.00747971i | ||||
\(853\) | −4.86952 | − | 18.1733i | −0.166729 | − | 0.622242i | −0.997813 | − | 0.0660950i | \(-0.978946\pi\) |
0.831084 | − | 0.556147i | \(-0.187721\pi\) | |||||||
\(854\) | 50.2055 | − | 28.9862i | 1.71800 | − | 0.991886i | ||||
\(855\) | −5.49493 | − | 4.21540i | −0.187923 | − | 0.144164i | ||||
\(856\) | 1.93028 | + | 7.20392i | 0.0659757 | + | 0.246225i | ||||
\(857\) | 15.0231 | − | 26.0207i | 0.513178 | − | 0.888850i | −0.486705 | − | 0.873566i | \(-0.661801\pi\) |
0.999883 | − | 0.0152842i | \(-0.00486529\pi\) | |||||||
\(858\) | −1.91822 | − | 17.5338i | −0.0654870 | − | 0.598593i | ||||
\(859\) | −4.29719 | − | 7.44295i | −0.146618 | − | 0.253950i | 0.783357 | − | 0.621572i | \(-0.213506\pi\) |
−0.929975 | + | 0.367622i | \(0.880172\pi\) | |||||||
\(860\) | −1.25049 | + | 1.25049i | −0.0426413 | + | 0.0426413i | ||||
\(861\) | −9.98582 | − | 11.3853i | −0.340316 | − | 0.388011i | ||||
\(862\) | − | 3.05023i | − | 0.103891i | ||||||
\(863\) | −22.4798 | + | 22.4798i | −0.765221 | + | 0.765221i | −0.977261 | − | 0.212040i | \(-0.931989\pi\) |
0.212040 | + | 0.977261i | \(0.431989\pi\) | |||||||
\(864\) | −11.2262 | + | 12.8055i | −0.381923 | + | 0.435652i | ||||
\(865\) | 12.6496 | + | 3.38946i | 0.430100 | + | 0.115245i | ||||
\(866\) | −14.7821 | + | 3.96084i | −0.502315 | + | 0.134595i | ||||
\(867\) | −6.13827 | − | 30.8499i | −0.208467 | − | 1.04772i | ||||
\(868\) | 3.04275i | 0.103278i | ||||||||
\(869\) | 11.4768 | + | 11.4768i | 0.389325 | + | 0.389325i | ||||
\(870\) | 1.00259 | − | 0.879349i | 0.0339909 | − | 0.0298127i | ||||
\(871\) | 28.0680 | + | 33.4618i | 0.951047 | + | 1.13381i | ||||
\(872\) | 2.07774i | 0.0703611i | ||||||||
\(873\) | 31.1875 | − | 23.9368i | 1.05554 | − | 0.810137i | ||||
\(874\) | 20.8129 | − | 36.0491i | 0.704008 | − | 1.21938i | ||||
\(875\) | 29.7759 | 1.00661 | ||||||||
\(876\) | 2.92143 | − | 4.37278i | 0.0987060 | − | 0.147742i | ||||
\(877\) | 21.4118 | − | 5.73729i | 0.723027 | − | 0.193734i | 0.121505 | − | 0.992591i | \(-0.461228\pi\) |
0.601522 | + | 0.798856i | \(0.294561\pi\) | |||||||
\(878\) | −9.80646 | + | 2.62763i | −0.330952 | + | 0.0886783i | ||||
\(879\) | −28.9832 | + | 43.3819i | −0.977580 | + | 1.46323i | ||||
\(880\) | 6.05744 | 0.204196 | ||||||||
\(881\) | 4.67983 | − | 8.10570i | 0.157667 | − | 0.273088i | −0.776360 | − | 0.630290i | \(-0.782936\pi\) |
0.934027 | + | 0.357202i | \(0.116269\pi\) | |||||||
\(882\) | 54.8942 | + | 22.7305i | 1.84838 | + | 0.765376i | ||||
\(883\) | − | 20.6234i | − | 0.694033i | −0.937859 | − | 0.347016i | \(-0.887195\pi\) | ||
0.937859 | − | 0.347016i | \(-0.112805\pi\) | |||||||
\(884\) | 1.11585 | − | 12.7289i | 0.0375300 | − | 0.428119i | ||||
\(885\) | −1.29343 | + | 1.13444i | −0.0434783 | + | 0.0381338i | ||||
\(886\) | 7.17395 | + | 7.17395i | 0.241014 | + | 0.241014i | ||||
\(887\) | − | 43.4004i | − | 1.45724i | −0.684916 | − | 0.728622i | \(-0.740161\pi\) | ||
0.684916 | − | 0.728622i | \(-0.259839\pi\) | |||||||
\(888\) | 0.0442240 | + | 0.222262i | 0.00148406 | + | 0.00745862i | ||||
\(889\) | 3.14877 | − | 0.843710i | 0.105606 | − | 0.0282971i | ||||
\(890\) | −5.63216 | − | 1.50913i | −0.188790 | − | 0.0505862i | ||||
\(891\) | −7.88268 | + | 13.6605i | −0.264080 | + | 0.457643i | ||||
\(892\) | 6.42882 | − | 6.42882i | 0.215253 | − | 0.215253i | ||||
\(893\) | 18.6963i | 0.625648i | ||||||||
\(894\) | −10.5625 | − | 12.0428i | −0.353263 | − | 0.402773i | ||||
\(895\) | 8.69169 | − | 8.69169i | 0.290531 | − | 0.290531i | ||||
\(896\) | −29.9449 | − | 51.8660i | −1.00039 | − | 1.73272i | ||||
\(897\) | −40.2584 | + | 29.5116i | −1.34419 | + | 0.985364i | ||||
\(898\) | 29.9515 | − | 51.8775i | 0.999494 | − | 1.73117i | ||||
\(899\) | −0.200612 | − | 0.748692i | −0.00669077 | − | 0.0249703i | ||||
\(900\) | −7.43658 | + | 3.08134i | −0.247886 | + | 0.102711i | ||||
\(901\) | −21.0304 | + | 12.1419i | −0.700625 | + | 0.404506i | ||||
\(902\) | −1.45533 | − | 5.43136i | −0.0484571 | − | 0.180845i | ||||
\(903\) | 31.4367 | + | 2.05865i | 1.04615 | + | 0.0685075i | ||||
\(904\) | −10.5594 | − | 39.4082i | −0.351200 | − | 1.31070i | ||||
\(905\) | 0.201547 | − | 0.752185i | 0.00669966 | − | 0.0250035i | ||||
\(906\) | −41.3625 | − | 47.1594i | −1.37418 | − | 1.56677i | ||||
\(907\) | 29.4275 | − | 16.9900i | 0.977123 | − | 0.564142i | 0.0757226 | − | 0.997129i | \(-0.475874\pi\) |
0.901400 | + | 0.432987i | \(0.142540\pi\) | |||||||
\(908\) | −11.5025 | + | 3.08208i | −0.381723 | + | 0.102282i | ||||
\(909\) | 33.9055 | − | 14.0487i | 1.12457 | − | 0.465966i | ||||
\(910\) | 17.9576 | − | 3.16321i | 0.595287 | − | 0.104859i | ||||
\(911\) | −1.44338 | − | 0.833335i | −0.0478213 | − | 0.0276096i | 0.475899 | − | 0.879500i | \(-0.342123\pi\) |
−0.523720 | + | 0.851890i | \(0.675456\pi\) | |||||||
\(912\) | −15.0417 | + | 22.5143i | −0.498081 | + | 0.745524i | ||||
\(913\) | 15.1116 | 0.500122 | ||||||||
\(914\) | −5.59824 | + | 9.69643i | −0.185173 | + | 0.320729i | ||||
\(915\) | −9.08957 | + | 4.48313i | −0.300492 | + | 0.148208i | ||||
\(916\) | 3.51665 | + | 3.51665i | 0.116193 | + | 0.116193i | ||||
\(917\) | −5.21432 | + | 19.4601i | −0.172192 | + | 0.642629i | ||||
\(918\) | −32.7361 | + | 37.3414i | −1.08045 | + | 1.23245i | ||||
\(919\) | 20.6189 | + | 35.7129i | 0.680153 | + | 1.17806i | 0.974934 | + | 0.222495i | \(0.0714201\pi\) |
−0.294781 | + | 0.955565i | \(0.595247\pi\) | |||||||
\(920\) | −6.45364 | − | 11.1780i | −0.212770 | − | 0.368529i | ||||
\(921\) | 1.58761 | − | 24.2436i | 0.0523134 | − | 0.798855i | ||||
\(922\) | 17.4513 | − | 10.0755i | 0.574726 | − | 0.331818i | ||||
\(923\) | 10.9346 | + | 3.98201i | 0.359918 | + | 0.131070i | ||||
\(924\) | 5.25333 | + | 5.98958i | 0.172822 | + | 0.197043i | ||||
\(925\) | −0.0672651 | + | 0.251037i | −0.00221166 | + | 0.00825404i | ||||
\(926\) | 27.7174 | + | 16.0026i | 0.910850 | + | 0.525879i | ||||
\(927\) | 12.3786 | + | 29.8748i | 0.406567 | + | 0.981219i | ||||
\(928\) | −1.54953 | − | 1.54953i | −0.0508657 | − | 0.0508657i | ||||
\(929\) | −15.8786 | + | 15.8786i | −0.520960 | + | 0.520960i | −0.917861 | − | 0.396901i | \(-0.870086\pi\) |
0.396901 | + | 0.917861i | \(0.370086\pi\) | |||||||
\(930\) | 0.151082 | − | 2.30711i | 0.00495419 | − | 0.0756533i | ||||
\(931\) | 38.3513 | + | 10.2762i | 1.25691 | + | 0.336789i | ||||
\(932\) | 6.34593 | + | 3.66382i | 0.207868 | + | 0.120013i | ||||
\(933\) | −15.4628 | − | 5.24790i | −0.506228 | − | 0.171809i | ||||
\(934\) | −27.2046 | − | 7.28945i | −0.890161 | − | 0.238518i | ||||
\(935\) | 7.42401 | 0.242791 | ||||||||
\(936\) | 20.6197 | − | 13.1345i | 0.673976 | − | 0.429316i | ||||
\(937\) | −25.0543 | −0.818490 | −0.409245 | − | 0.912425i | \(-0.634208\pi\) | ||||
−0.409245 | + | 0.912425i | \(0.634208\pi\) | |||||||
\(938\) | −82.8207 | − | 22.1917i | −2.70419 | − | 0.724586i | ||||
\(939\) | −2.84325 | − | 14.2897i | −0.0927859 | − | 0.466325i | ||||
\(940\) | −2.13973 | − | 1.23538i | −0.0697904 | − | 0.0402935i | ||||
\(941\) | 2.05537 | + | 0.550735i | 0.0670032 | + | 0.0179535i | 0.292165 | − | 0.956368i | \(-0.405624\pi\) |
−0.225162 | + | 0.974321i | \(0.572291\pi\) | |||||||
\(942\) | 17.6483 | + | 11.7907i | 0.575012 | + | 0.384163i | ||||
\(943\) | −11.2522 | + | 11.2522i | −0.366422 | + | 0.366422i | ||||
\(944\) | 4.75625 | + | 4.75625i | 0.154803 | + | 0.154803i | ||||
\(945\) | −14.6241 | − | 7.20867i | −0.475723 | − | 0.234498i | ||||
\(946\) | 10.1302 | + | 5.84870i | 0.329363 | + | 0.190158i | ||||
\(947\) | 12.1738 | − | 45.4334i | 0.395597 | − | 1.47639i | −0.425164 | − | 0.905116i | \(-0.639784\pi\) |
0.820761 | − | 0.571272i | \(-0.193550\pi\) | |||||||
\(948\) | 3.08136 | − | 9.07912i | 0.100078 | − | 0.294876i | ||||
\(949\) | −14.0336 | + | 11.7714i | −0.455548 | + | 0.382117i | ||||
\(950\) | −20.2480 | + | 11.6902i | −0.656933 | + | 0.379281i | ||||
\(951\) | 13.8322 | + | 9.24124i | 0.448541 | + | 0.299668i | ||||
\(952\) | −29.4295 | − | 50.9734i | −0.953817 | − | 1.65206i | ||||
\(953\) | −5.00845 | − | 8.67489i | −0.162240 | − | 0.281007i | 0.773432 | − | 0.633879i | \(-0.218538\pi\) |
−0.935672 | + | 0.352872i | \(0.885205\pi\) | |||||||
\(954\) | 18.2953 | + | 7.57569i | 0.592332 | + | 0.245272i | ||||
\(955\) | −0.518052 | + | 1.93340i | −0.0167638 | + | 0.0625633i | ||||
\(956\) | −3.99114 | − | 3.99114i | −0.129083 | − | 0.129083i | ||||
\(957\) | −1.68752 | − | 1.12742i | −0.0545498 | − | 0.0364445i | ||||
\(958\) | −22.4119 | + | 38.8185i | −0.724094 | + | 1.25417i | ||||
\(959\) | 19.5009 | 0.629716 | ||||||||
\(960\) | 2.40525 | + | 4.87665i | 0.0776290 | + | 0.157393i | ||||
\(961\) | 25.6830 | + | 14.8281i | 0.828484 | + | 0.478326i | ||||
\(962\) | −0.0293769 | + | 0.335113i | −0.000947148 | + | 0.0108045i | ||||
\(963\) | 6.02537 | − | 7.85429i | 0.194165 | − | 0.253101i | ||||
\(964\) | −3.13656 | + | 0.840440i | −0.101022 | + | 0.0270687i | ||||
\(965\) | −1.58039 | + | 0.912437i | −0.0508745 | + | 0.0293724i | ||||
\(966\) | 31.4944 | − | 92.7971i | 1.01332 | − | 2.98570i | ||||
\(967\) | 3.10543 | − | 11.5896i | 0.0998638 | − | 0.372697i | −0.897848 | − | 0.440305i | \(-0.854870\pi\) |
0.997712 | + | 0.0676085i | \(0.0215369\pi\) | |||||||
\(968\) | 4.63834 | + | 17.3105i | 0.149082 | + | 0.556381i | ||||
\(969\) | −18.4352 | + | 27.5936i | −0.592223 | + | 0.886435i | ||||
\(970\) | 3.90568 | + | 14.5762i | 0.125404 | + | 0.468013i | ||||
\(971\) | −19.6884 | + | 11.3671i | −0.631831 | + | 0.364788i | −0.781461 | − | 0.623954i | \(-0.785525\pi\) |
0.149630 | + | 0.988742i | \(0.452192\pi\) | |||||||
\(972\) | 9.29683 | + | 0.606650i | 0.298196 | + | 0.0194583i | ||||
\(973\) | −25.5106 | − | 95.2070i | −0.817833 | − | 3.05220i | ||||
\(974\) | −12.3299 | + | 21.3560i | −0.395076 | + | 0.684291i | ||||
\(975\) | 27.8709 | − | 3.04913i | 0.892584 | − | 0.0976502i | ||||
\(976\) | 19.8122 | + | 34.3158i | 0.634175 | + | 1.09842i | ||||
\(977\) | −34.5738 | + | 34.5738i | −1.10611 | + | 1.10611i | −0.112456 | + | 0.993657i | \(0.535872\pi\) |
−0.993657 | + | 0.112456i | \(0.964128\pi\) | |||||||
\(978\) | −9.93147 | + | 1.97609i | −0.317573 | + | 0.0631883i | ||||
\(979\) | 8.87355i | 0.283600i | ||||||||
\(980\) | −3.71018 | + | 3.71018i | −0.118517 | + | 0.118517i | ||||
\(981\) | 2.18774 | − | 1.67912i | 0.0698492 | − | 0.0536100i | ||||
\(982\) | 53.4839 | + | 14.3310i | 1.70674 | + | 0.457320i | ||||
\(983\) | 36.4645 | − | 9.77062i | 1.16304 | − | 0.311634i | 0.374858 | − | 0.927082i | \(-0.377692\pi\) |
0.788178 | + | 0.615448i | \(0.211025\pi\) | |||||||
\(984\) | 5.85932 | − | 5.13908i | 0.186788 | − | 0.163828i | ||||
\(985\) | − | 4.10968i | − | 0.130945i | ||||||
\(986\) | −4.51849 | − | 4.51849i | −0.143898 | − | 0.143898i | ||||
\(987\) | 8.58939 | + | 43.1687i | 0.273403 | + | 1.37408i | ||||
\(988\) | −5.33460 | + | 4.47469i | −0.169716 | + | 0.142359i | ||||
\(989\) | − | 33.1037i | − | 1.05264i | ||||||
\(990\) | −3.68585 | − | 4.80234i | −0.117144 | − | 0.152628i | ||||
\(991\) | −20.1358 | + | 34.8762i | −0.639635 | + | 1.10788i | 0.345878 | + | 0.938279i | \(0.387581\pi\) |
−0.985513 | + | 0.169600i | \(0.945752\pi\) | |||||||
\(992\) | −3.79920 | −0.120625 | ||||||||
\(993\) | −8.00061 | − | 0.523923i | −0.253892 | − | 0.0166262i | ||||
\(994\) | −22.0674 | + | 5.91294i | −0.699935 | + | 0.187547i | ||||
\(995\) | 1.72857 | − | 0.463169i | 0.0547993 | − | 0.0146834i | ||||
\(996\) | −3.94865 | − | 8.00590i | −0.125118 | − | 0.253677i | ||||
\(997\) | −48.7084 | −1.54261 | −0.771306 | − | 0.636465i | \(-0.780396\pi\) | ||||
−0.771306 | + | 0.636465i | \(0.780396\pi\) | |||||||
\(998\) | 27.5808 | − | 47.7714i | 0.873056 | − | 1.51218i | ||||
\(999\) | 0.198290 | − | 0.226185i | 0.00627361 | − | 0.00715619i |
(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 | 117.2.bc.a.20.4 | yes | 48 | |
3.2 | odd | 2 | 351.2.bf.a.332.9 | 48 | |||
9.4 | even | 3 | 351.2.ba.a.98.9 | 48 | |||
9.5 | odd | 6 | 117.2.x.a.59.4 | yes | 48 | ||
13.2 | odd | 12 | 117.2.x.a.2.4 | ✓ | 48 | ||
39.2 | even | 12 | 351.2.ba.a.197.9 | 48 | |||
117.41 | even | 12 | inner | 117.2.bc.a.41.4 | yes | 48 | |
117.67 | odd | 12 | 351.2.bf.a.314.9 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
117.2.x.a.2.4 | ✓ | 48 | 13.2 | odd | 12 | ||
117.2.x.a.59.4 | yes | 48 | 9.5 | odd | 6 | ||
117.2.bc.a.20.4 | yes | 48 | 1.1 | even | 1 | trivial | |
117.2.bc.a.41.4 | yes | 48 | 117.41 | even | 12 | inner | |
351.2.ba.a.98.9 | 48 | 9.4 | even | 3 | |||
351.2.ba.a.197.9 | 48 | 39.2 | even | 12 | |||
351.2.bf.a.314.9 | 48 | 117.67 | odd | 12 | |||
351.2.bf.a.332.9 | 48 | 3.2 | odd | 2 |