Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(5,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 9, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bi (of order \(36\), degree \(12\), 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: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 237.27 | ||
Character | \(\chi\) | \(=\) | 304.237 |
Dual form | 304.2.bi.a.245.27 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.818198 | + | 1.15350i | 0.578553 | + | 0.815645i | ||||
\(3\) | 0.729066 | + | 0.0637850i | 0.420926 | + | 0.0368263i | 0.295652 | − | 0.955296i | \(-0.404463\pi\) |
0.125275 | + | 0.992122i | \(0.460019\pi\) | |||||||
\(4\) | −0.661104 | + | 1.88758i | −0.330552 | + | 0.943788i | ||||
\(5\) | 1.85696 | − | 0.865914i | 0.830457 | − | 0.387248i | 0.0395744 | − | 0.999217i | \(-0.487400\pi\) |
0.790882 | + | 0.611968i | \(0.209622\pi\) | |||||||
\(6\) | 0.522944 | + | 0.893163i | 0.213491 | + | 0.364632i | ||||
\(7\) | 0.692403 | + | 0.399759i | 0.261704 | + | 0.151095i | 0.625112 | − | 0.780535i | \(-0.285053\pi\) |
−0.363408 | + | 0.931630i | \(0.618387\pi\) | |||||||
\(8\) | −2.71822 | + | 0.781830i | −0.961037 | + | 0.276419i | ||||
\(9\) | −2.42695 | − | 0.427938i | −0.808985 | − | 0.142646i | ||||
\(10\) | 2.51819 | + | 1.43350i | 0.796321 | + | 0.453314i | ||||
\(11\) | 4.45927 | + | 1.19486i | 1.34452 | + | 0.360263i | 0.858110 | − | 0.513466i | \(-0.171639\pi\) |
0.486412 | + | 0.873730i | \(0.338306\pi\) | |||||||
\(12\) | −0.602387 | + | 1.33400i | −0.173894 | + | 0.385092i | ||||
\(13\) | 0.228784 | + | 2.61502i | 0.0634534 | + | 0.725275i | 0.959572 | + | 0.281462i | \(0.0908193\pi\) |
−0.896119 | + | 0.443814i | \(0.853625\pi\) | |||||||
\(14\) | 0.105403 | + | 1.12577i | 0.0281700 | + | 0.300874i | ||||
\(15\) | 1.40908 | − | 0.512862i | 0.363822 | − | 0.132420i | ||||
\(16\) | −3.12588 | − | 2.49577i | −0.781471 | − | 0.623942i | ||||
\(17\) | 0.295231 | + | 1.67434i | 0.0716041 | + | 0.406087i | 0.999451 | + | 0.0331262i | \(0.0105463\pi\) |
−0.927847 | + | 0.372961i | \(0.878343\pi\) | |||||||
\(18\) | −1.49211 | − | 3.14962i | −0.351693 | − | 0.742372i | ||||
\(19\) | −0.748367 | − | 4.29418i | −0.171687 | − | 0.985152i | ||||
\(20\) | 0.406835 | + | 4.07761i | 0.0909712 | + | 0.911781i | ||||
\(21\) | 0.479309 | + | 0.335616i | 0.104594 | + | 0.0732373i | ||||
\(22\) | 2.27030 | + | 6.12138i | 0.484030 | + | 1.30508i | ||||
\(23\) | −2.72488 | − | 7.48655i | −0.568177 | − | 1.56105i | −0.807347 | − | 0.590076i | \(-0.799098\pi\) |
0.239170 | − | 0.970978i | \(-0.423125\pi\) | |||||||
\(24\) | −2.03163 | + | 0.396624i | −0.414705 | + | 0.0809605i | ||||
\(25\) | −0.515452 | + | 0.614292i | −0.103090 | + | 0.122858i | ||||
\(26\) | −2.82922 | + | 2.40350i | −0.554856 | + | 0.471366i | ||||
\(27\) | −3.86285 | − | 1.03505i | −0.743407 | − | 0.199195i | ||||
\(28\) | −1.21233 | + | 1.04268i | −0.229108 | + | 0.197048i | ||||
\(29\) | −2.69398 | + | 1.88634i | −0.500259 | + | 0.350285i | −0.796312 | − | 0.604886i | \(-0.793219\pi\) |
0.296053 | + | 0.955172i | \(0.404330\pi\) | |||||||
\(30\) | 1.74449 | + | 1.20574i | 0.318498 | + | 0.220137i | ||||
\(31\) | 0.290046 | − | 0.502374i | 0.0520938 | − | 0.0902290i | −0.838803 | − | 0.544436i | \(-0.816744\pi\) |
0.890896 | + | 0.454207i | \(0.150077\pi\) | |||||||
\(32\) | 0.321265 | − | 5.64772i | 0.0567921 | − | 0.998386i | ||||
\(33\) | 3.17489 | + | 1.15557i | 0.552677 | + | 0.201158i | ||||
\(34\) | −1.68979 | + | 1.71049i | −0.289796 | + | 0.293346i | ||||
\(35\) | 1.63192 | + | 0.142775i | 0.275845 | + | 0.0241333i | ||||
\(36\) | 2.41223 | − | 4.29815i | 0.402039 | − | 0.716358i | ||||
\(37\) | 2.32388 | − | 2.32388i | 0.382043 | − | 0.382043i | −0.489795 | − | 0.871838i | \(-0.662928\pi\) |
0.871838 | + | 0.489795i | \(0.162928\pi\) | |||||||
\(38\) | 4.34100 | − | 4.37672i | 0.704203 | − | 0.709998i | ||||
\(39\) | 1.92111i | 0.307624i | ||||||||
\(40\) | −4.37063 | + | 3.80557i | −0.691057 | + | 0.601714i | ||||
\(41\) | 5.98472 | + | 7.13231i | 0.934656 | + | 1.11388i | 0.993296 | + | 0.115600i | \(0.0368791\pi\) |
−0.0586401 | + | 0.998279i | \(0.518676\pi\) | |||||||
\(42\) | 0.00503838 | + | 0.827481i | 0.000777440 | + | 0.127683i | ||||
\(43\) | −3.98419 | + | 1.85786i | −0.607583 | + | 0.283320i | −0.701960 | − | 0.712216i | \(-0.747692\pi\) |
0.0943778 | + | 0.995536i | \(0.469914\pi\) | |||||||
\(44\) | −5.20343 | + | 7.62729i | −0.784446 | + | 1.14986i | ||||
\(45\) | −4.87731 | + | 1.30687i | −0.727066 | + | 0.194817i | ||||
\(46\) | 6.40621 | − | 9.26862i | 0.944544 | − | 1.36658i | ||||
\(47\) | 1.42756 | − | 8.09607i | 0.208230 | − | 1.18093i | −0.684044 | − | 0.729441i | \(-0.739780\pi\) |
0.892275 | − | 0.451493i | \(-0.149108\pi\) | |||||||
\(48\) | −2.11978 | − | 2.01896i | −0.305964 | − | 0.291412i | ||||
\(49\) | −3.18039 | − | 5.50859i | −0.454341 | − | 0.786941i | ||||
\(50\) | −1.13033 | − | 0.0919593i | −0.159852 | − | 0.0130050i | ||||
\(51\) | 0.108445 | + | 1.23953i | 0.0151854 | + | 0.173570i | ||||
\(52\) | −5.08729 | − | 1.29695i | −0.705481 | − | 0.179855i | ||||
\(53\) | 3.43274 | − | 7.36154i | 0.471523 | − | 1.01119i | −0.516415 | − | 0.856338i | \(-0.672734\pi\) |
0.987938 | − | 0.154847i | \(-0.0494884\pi\) | |||||||
\(54\) | −1.96666 | − | 5.30266i | −0.267628 | − | 0.721601i | ||||
\(55\) | 9.31533 | − | 1.64254i | 1.25608 | − | 0.221480i | ||||
\(56\) | −2.19465 | − | 0.545293i | −0.293273 | − | 0.0728679i | ||||
\(57\) | −0.271705 | − | 3.17847i | −0.0359882 | − | 0.420999i | ||||
\(58\) | −4.38010 | − | 1.56409i | −0.575135 | − | 0.205375i | ||||
\(59\) | −4.02965 | − | 2.82159i | −0.524615 | − | 0.367340i | 0.281066 | − | 0.959688i | \(-0.409312\pi\) |
−0.805682 | + | 0.592349i | \(0.798201\pi\) | |||||||
\(60\) | 0.0365196 | + | 2.99879i | 0.00471466 | + | 0.387143i | ||||
\(61\) | −6.41040 | − | 2.98922i | −0.820768 | − | 0.382730i | −0.0335742 | − | 0.999436i | \(-0.510689\pi\) |
−0.787194 | + | 0.616706i | \(0.788467\pi\) | |||||||
\(62\) | 0.816801 | − | 0.0764749i | 0.103734 | − | 0.00971233i | ||||
\(63\) | −1.50936 | − | 1.26650i | −0.190161 | − | 0.159564i | ||||
\(64\) | 6.77748 | − | 4.25038i | 0.847185 | − | 0.531297i | ||||
\(65\) | 2.68922 | + | 4.65787i | 0.333557 | + | 0.577738i | ||||
\(66\) | 1.26475 | + | 4.60770i | 0.155680 | + | 0.567169i | ||||
\(67\) | 1.01356 | − | 0.709700i | 0.123826 | − | 0.0867037i | −0.510023 | − | 0.860161i | \(-0.670363\pi\) |
0.633849 | + | 0.773457i | \(0.281474\pi\) | |||||||
\(68\) | −3.35562 | − | 0.549641i | −0.406929 | − | 0.0666538i | ||||
\(69\) | −1.50909 | − | 5.63199i | −0.181673 | − | 0.678013i | ||||
\(70\) | 1.17054 | + | 1.99923i | 0.139907 | + | 0.238954i | ||||
\(71\) | −2.51889 | + | 6.92060i | −0.298938 | + | 0.821324i | 0.695741 | + | 0.718293i | \(0.255076\pi\) |
−0.994678 | + | 0.103031i | \(0.967146\pi\) | |||||||
\(72\) | 6.93158 | − | 0.734236i | 0.816895 | − | 0.0865306i | ||||
\(73\) | 4.15244 | + | 4.94868i | 0.486006 | + | 0.579200i | 0.952197 | − | 0.305485i | \(-0.0988184\pi\) |
−0.466191 | + | 0.884684i | \(0.654374\pi\) | |||||||
\(74\) | 4.58198 | + | 0.779190i | 0.532644 | + | 0.0905791i | ||||
\(75\) | −0.414981 | + | 0.414981i | −0.0479179 | + | 0.0479179i | ||||
\(76\) | 8.60033 | + | 1.42630i | 0.986526 | + | 0.163608i | ||||
\(77\) | 2.60996 | + | 2.60996i | 0.297432 | + | 0.297432i | ||||
\(78\) | −2.21600 | + | 1.57185i | −0.250912 | + | 0.177977i | ||||
\(79\) | 12.6654 | − | 10.6275i | 1.42496 | − | 1.19569i | 0.476348 | − | 0.879257i | \(-0.341960\pi\) |
0.948616 | − | 0.316430i | \(-0.102484\pi\) | |||||||
\(80\) | −7.96575 | − | 1.92779i | −0.890598 | − | 0.215533i | ||||
\(81\) | 4.19707 | + | 1.52761i | 0.466341 | + | 0.169734i | ||||
\(82\) | −3.33040 | + | 12.7390i | −0.367781 | + | 1.40679i | ||||
\(83\) | −3.72178 | + | 0.997247i | −0.408518 | + | 0.109462i | −0.457225 | − | 0.889351i | \(-0.651157\pi\) |
0.0487071 | + | 0.998813i | \(0.484490\pi\) | |||||||
\(84\) | −0.950373 | + | 0.682855i | −0.103694 | + | 0.0745056i | ||||
\(85\) | 1.99807 | + | 2.85353i | 0.216721 | + | 0.309509i | ||||
\(86\) | −5.40288 | − | 3.07565i | −0.582608 | − | 0.331655i | ||||
\(87\) | −2.08441 | + | 1.20343i | −0.223472 | + | 0.129022i | ||||
\(88\) | −13.0555 | + | 0.238501i | −1.39172 | + | 0.0254243i | ||||
\(89\) | −8.21446 | + | 9.78961i | −0.870731 | + | 1.03770i | 0.128212 | + | 0.991747i | \(0.459076\pi\) |
−0.998944 | + | 0.0459504i | \(0.985368\pi\) | |||||||
\(90\) | −5.49808 | − | 4.55668i | −0.579548 | − | 0.480316i | ||||
\(91\) | −0.886966 | + | 1.90211i | −0.0929793 | + | 0.199395i | ||||
\(92\) | 15.9329 | − | 0.194032i | 1.66112 | − | 0.0202292i | ||||
\(93\) | 0.243506 | − | 0.347763i | 0.0252504 | − | 0.0360614i | ||||
\(94\) | 10.5068 | − | 4.97751i | 1.08369 | − | 0.513391i | ||||
\(95\) | −5.10807 | − | 7.32608i | −0.524077 | − | 0.751640i | ||||
\(96\) | 0.594463 | − | 4.09707i | 0.0606721 | − | 0.418155i | ||||
\(97\) | 2.38251 | + | 13.5119i | 0.241907 | + | 1.37192i | 0.827568 | + | 0.561365i | \(0.189724\pi\) |
−0.585661 | + | 0.810556i | \(0.699165\pi\) | |||||||
\(98\) | 3.75195 | − | 8.17568i | 0.379004 | − | 0.825868i | ||||
\(99\) | −10.3111 | − | 4.80816i | −1.03631 | − | 0.483238i | ||||
\(100\) | −0.818755 | − | 1.37907i | −0.0818755 | − | 0.137907i | ||||
\(101\) | −7.53087 | + | 0.658866i | −0.749350 | + | 0.0655596i | −0.455431 | − | 0.890271i | \(-0.650515\pi\) |
−0.293918 | + | 0.955831i | \(0.594959\pi\) | |||||||
\(102\) | −1.34107 | + | 1.13928i | −0.132786 | + | 0.112805i | ||||
\(103\) | 9.59088 | − | 5.53730i | 0.945018 | − | 0.545606i | 0.0534880 | − | 0.998568i | \(-0.482966\pi\) |
0.891530 | + | 0.452962i | \(0.149633\pi\) | |||||||
\(104\) | −2.66639 | − | 6.92933i | −0.261461 | − | 0.679477i | ||||
\(105\) | 1.18067 | + | 0.208184i | 0.115222 | + | 0.0203167i | ||||
\(106\) | 11.3002 | − | 2.06354i | 1.09757 | − | 0.200429i | ||||
\(107\) | 3.61610 | + | 13.4955i | 0.349582 | + | 1.30466i | 0.887167 | + | 0.461448i | \(0.152670\pi\) |
−0.537585 | + | 0.843209i | \(0.680663\pi\) | |||||||
\(108\) | 4.50748 | − | 6.60715i | 0.433733 | − | 0.635774i | ||||
\(109\) | −1.47818 | − | 3.16997i | −0.141584 | − | 0.303628i | 0.822710 | − | 0.568461i | \(-0.192461\pi\) |
−0.964294 | + | 0.264833i | \(0.914683\pi\) | |||||||
\(110\) | 9.51645 | + | 9.40126i | 0.907358 | + | 0.896375i | ||||
\(111\) | 1.84249 | − | 1.54603i | 0.174881 | − | 0.146743i | ||||
\(112\) | −1.16667 | − | 2.97768i | −0.110240 | − | 0.281364i | ||||
\(113\) | −17.3764 | −1.63464 | −0.817319 | − | 0.576185i | \(-0.804541\pi\) | ||||
−0.817319 | + | 0.576185i | \(0.804541\pi\) | |||||||
\(114\) | 3.44404 | − | 2.91403i | 0.322564 | − | 0.272924i | ||||
\(115\) | −11.5427 | − | 11.5427i | −1.07636 | − | 1.07636i | ||||
\(116\) | −1.77962 | − | 6.33216i | −0.165233 | − | 0.587926i | ||||
\(117\) | 0.563815 | − | 6.44444i | 0.0521247 | − | 0.595788i | ||||
\(118\) | −0.0423587 | − | 6.95680i | −0.00389944 | − | 0.640425i | ||||
\(119\) | −0.464914 | + | 1.27734i | −0.0426186 | + | 0.117094i | ||||
\(120\) | −3.42921 | + | 2.49573i | −0.313043 | + | 0.227828i | ||||
\(121\) | 8.93115 | + | 5.15640i | 0.811922 | + | 0.468764i | ||||
\(122\) | −1.79693 | − | 9.84014i | −0.162686 | − | 0.890885i | ||||
\(123\) | 3.90832 | + | 5.58166i | 0.352401 | + | 0.503281i | ||||
\(124\) | 0.756519 | + | 0.879605i | 0.0679374 | + | 0.0789908i | ||||
\(125\) | −3.07675 | + | 11.4826i | −0.275193 | + | 1.02704i | ||||
\(126\) | 0.225951 | − | 2.77729i | 0.0201293 | − | 0.247421i | ||||
\(127\) | 1.80837 | + | 1.51740i | 0.160467 | + | 0.134647i | 0.719486 | − | 0.694507i | \(-0.244378\pi\) |
−0.559019 | + | 0.829155i | \(0.688822\pi\) | |||||||
\(128\) | 10.4481 | + | 4.34014i | 0.923492 | + | 0.383618i | ||||
\(129\) | −3.02324 | + | 1.10037i | −0.266181 | + | 0.0968820i | ||||
\(130\) | −3.17252 | + | 6.91307i | −0.278248 | + | 0.606316i | ||||
\(131\) | 1.35668 | − | 1.93753i | 0.118533 | − | 0.169283i | −0.755501 | − | 0.655148i | \(-0.772606\pi\) |
0.874034 | + | 0.485865i | \(0.161495\pi\) | |||||||
\(132\) | −4.28015 | + | 5.22889i | −0.372539 | + | 0.455117i | ||||
\(133\) | 1.19846 | − | 3.27247i | 0.103920 | − | 0.283759i | ||||
\(134\) | 1.64793 | + | 0.588458i | 0.142359 | + | 0.0508350i | ||||
\(135\) | −8.06942 | + | 1.42286i | −0.694505 | + | 0.122460i | ||||
\(136\) | −2.11155 | − | 4.32041i | −0.181064 | − | 0.370472i | ||||
\(137\) | 5.25770 | + | 14.4454i | 0.449195 | + | 1.23415i | 0.933285 | + | 0.359136i | \(0.116929\pi\) |
−0.484090 | + | 0.875018i | \(0.660849\pi\) | |||||||
\(138\) | 5.26175 | − | 6.34881i | 0.447910 | − | 0.540447i | ||||
\(139\) | −2.56397 | + | 0.224318i | −0.217473 | + | 0.0190264i | −0.195371 | − | 0.980729i | \(-0.562591\pi\) |
−0.0221014 | + | 0.999756i | \(0.507036\pi\) | |||||||
\(140\) | −1.34837 | + | 2.98598i | −0.113958 | + | 0.252362i | ||||
\(141\) | 1.55719 | − | 5.81151i | 0.131139 | − | 0.489418i | ||||
\(142\) | −10.0438 | + | 2.75689i | −0.842860 | + | 0.231353i | ||||
\(143\) | −2.10436 | + | 11.9344i | −0.175976 | + | 0.998008i | ||||
\(144\) | 6.51834 | + | 7.39480i | 0.543195 | + | 0.616233i | ||||
\(145\) | −3.36919 | + | 5.83561i | −0.279796 | + | 0.484621i | ||||
\(146\) | −2.31077 | + | 8.83882i | −0.191240 | + | 0.731506i | ||||
\(147\) | −1.96734 | − | 4.21898i | −0.162264 | − | 0.347976i | ||||
\(148\) | 2.85017 | + | 5.92282i | 0.234283 | + | 0.486853i | ||||
\(149\) | −1.41786 | + | 16.2062i | −0.116156 | + | 1.32767i | 0.684707 | + | 0.728819i | \(0.259930\pi\) |
−0.800863 | + | 0.598848i | \(0.795625\pi\) | |||||||
\(150\) | −0.818216 | − | 0.139142i | −0.0668071 | − | 0.0113609i | ||||
\(151\) | 10.5071i | 0.855059i | 0.904001 | + | 0.427529i | \(0.140616\pi\) | ||||
−0.904001 | + | 0.427529i | \(0.859384\pi\) | |||||||
\(152\) | 5.39155 | + | 11.0874i | 0.437312 | + | 0.899310i | ||||
\(153\) | − | 4.18989i | − | 0.338732i | ||||||
\(154\) | −0.875113 | + | 5.14604i | −0.0705186 | + | 0.414680i | ||||
\(155\) | 0.103590 | − | 1.18404i | 0.00832057 | − | 0.0951045i | ||||
\(156\) | −3.62625 | − | 1.27006i | −0.290332 | − | 0.101686i | ||||
\(157\) | −9.01540 | − | 19.3336i | −0.719507 | − | 1.54299i | −0.835349 | − | 0.549720i | \(-0.814734\pi\) |
0.115841 | − | 0.993268i | \(-0.463044\pi\) | |||||||
\(158\) | 22.6215 | + | 5.91404i | 1.79967 | + | 0.470495i | ||||
\(159\) | 2.97225 | − | 5.14809i | 0.235715 | − | 0.408270i | ||||
\(160\) | −4.29387 | − | 10.7658i | −0.339460 | − | 0.851109i | ||||
\(161\) | 1.10610 | − | 6.27301i | 0.0871729 | − | 0.494382i | ||||
\(162\) | 1.67194 | + | 6.09118i | 0.131360 | + | 0.478568i | ||||
\(163\) | −0.171729 | + | 0.640901i | −0.0134508 | + | 0.0501992i | −0.972325 | − | 0.233632i | \(-0.924939\pi\) |
0.958874 | + | 0.283831i | \(0.0916056\pi\) | |||||||
\(164\) | −17.4193 | + | 6.58141i | −1.36022 | + | 0.513922i | ||||
\(165\) | 6.89625 | − | 0.603344i | 0.536873 | − | 0.0469703i | ||||
\(166\) | −4.19547 | − | 3.47711i | −0.325632 | − | 0.269876i | ||||
\(167\) | 1.94592 | + | 5.34636i | 0.150579 | + | 0.413714i | 0.991932 | − | 0.126774i | \(-0.0404622\pi\) |
−0.841352 | + | 0.540487i | \(0.818240\pi\) | |||||||
\(168\) | −1.56526 | − | 0.537540i | −0.120763 | − | 0.0414721i | ||||
\(169\) | 6.01652 | − | 1.06088i | 0.462810 | − | 0.0816058i | ||||
\(170\) | −1.65672 | + | 4.63951i | −0.127065 | + | 0.355835i | ||||
\(171\) | −0.0213867 | + | 10.7420i | −0.00163548 | + | 0.821463i | ||||
\(172\) | −0.872883 | − | 8.74869i | −0.0665567 | − | 0.667081i | ||||
\(173\) | −11.7650 | + | 16.8022i | −0.894478 | + | 1.27745i | 0.0656378 | + | 0.997844i | \(0.479092\pi\) |
−0.960116 | + | 0.279603i | \(0.909797\pi\) | |||||||
\(174\) | −3.09361 | − | 1.41971i | −0.234526 | − | 0.107628i | ||||
\(175\) | −0.602470 | + | 0.219281i | −0.0455424 | + | 0.0165761i | ||||
\(176\) | −10.9571 | − | 14.8643i | −0.825921 | − | 1.12044i | ||||
\(177\) | −2.75790 | − | 2.31416i | −0.207297 | − | 0.173943i | ||||
\(178\) | −18.0133 | − | 1.46550i | −1.35016 | − | 0.109844i | ||||
\(179\) | −5.82852 | + | 21.7523i | −0.435644 | + | 1.62585i | 0.303876 | + | 0.952712i | \(0.401719\pi\) |
−0.739520 | + | 0.673134i | \(0.764948\pi\) | |||||||
\(180\) | 0.757590 | − | 10.0703i | 0.0564675 | − | 0.750594i | ||||
\(181\) | −6.32530 | − | 9.03346i | −0.470156 | − | 0.671452i | 0.512116 | − | 0.858917i | \(-0.328862\pi\) |
−0.982271 | + | 0.187464i | \(0.939973\pi\) | |||||||
\(182\) | −2.91978 | + | 0.533187i | −0.216429 | + | 0.0395225i | ||||
\(183\) | −4.48294 | − | 2.58822i | −0.331388 | − | 0.191327i | ||||
\(184\) | 13.2601 | + | 18.2197i | 0.977544 | + | 1.34318i | ||||
\(185\) | 2.30307 | − | 6.32762i | 0.169325 | − | 0.465216i | ||||
\(186\) | 0.600380 | − | 0.00365561i | 0.0440220 | − | 0.000268042i | ||||
\(187\) | −0.684082 | + | 7.81910i | −0.0500251 | + | 0.571789i | ||||
\(188\) | 14.3382 | + | 8.04697i | 1.04572 | + | 0.586885i | ||||
\(189\) | −2.26088 | − | 2.26088i | −0.164455 | − | 0.164455i | ||||
\(190\) | 4.27119 | − | 11.8863i | 0.309865 | − | 0.862325i | ||||
\(191\) | 12.5320 | 0.906781 | 0.453390 | − | 0.891312i | \(-0.350214\pi\) | ||||
0.453390 | + | 0.891312i | \(0.350214\pi\) | |||||||
\(192\) | 5.21234 | − | 2.66650i | 0.376168 | − | 0.192438i | ||||
\(193\) | 12.1103 | − | 10.1617i | 0.871717 | − | 0.731457i | −0.0927419 | − | 0.995690i | \(-0.529563\pi\) |
0.964459 | + | 0.264233i | \(0.0851187\pi\) | |||||||
\(194\) | −13.6365 | + | 13.8036i | −0.979044 | + | 0.991040i | ||||
\(195\) | 1.66352 | + | 3.56743i | 0.119127 | + | 0.255469i | ||||
\(196\) | 12.5004 | − | 2.36147i | 0.892889 | − | 0.168676i | ||||
\(197\) | −0.743887 | − | 2.77622i | −0.0529997 | − | 0.197798i | 0.934350 | − | 0.356358i | \(-0.115982\pi\) |
−0.987349 | + | 0.158560i | \(0.949315\pi\) | |||||||
\(198\) | −2.89036 | − | 15.8279i | −0.205409 | − | 1.12484i | ||||
\(199\) | 2.32212 | + | 0.409453i | 0.164611 | + | 0.0290254i | 0.255346 | − | 0.966850i | \(-0.417811\pi\) |
−0.0907352 | + | 0.995875i | \(0.528922\pi\) | |||||||
\(200\) | 0.920843 | − | 2.07278i | 0.0651134 | − | 0.146568i | ||||
\(201\) | 0.784218 | − | 0.452768i | 0.0553145 | − | 0.0319358i | ||||
\(202\) | −6.92174 | − | 8.14774i | −0.487012 | − | 0.573273i | ||||
\(203\) | −2.61940 | + | 0.229168i | −0.183846 | + | 0.0160844i | ||||
\(204\) | −2.41141 | − | 0.614763i | −0.168832 | − | 0.0430420i | ||||
\(205\) | 17.2893 | + | 8.06215i | 1.20754 | + | 0.563085i | ||||
\(206\) | 14.2345 | + | 6.53243i | 0.991764 | + | 0.455136i | ||||
\(207\) | 3.40939 | + | 19.3356i | 0.236969 | + | 1.34392i | ||||
\(208\) | 5.81132 | − | 8.74523i | 0.402943 | − | 0.606373i | ||||
\(209\) | 1.79376 | − | 20.0431i | 0.124077 | − | 1.38641i | ||||
\(210\) | 0.725883 | + | 1.53223i | 0.0500907 | + | 0.105734i | ||||
\(211\) | −4.44139 | + | 6.34297i | −0.305758 | + | 0.436668i | −0.942398 | − | 0.334493i | \(-0.891435\pi\) |
0.636640 | + | 0.771161i | \(0.280324\pi\) | |||||||
\(212\) | 11.6261 | + | 11.3463i | 0.798481 | + | 0.779267i | ||||
\(213\) | −2.27787 | + | 4.88491i | −0.156077 | + | 0.334708i | ||||
\(214\) | −12.6083 | + | 15.2131i | −0.861885 | + | 1.03995i | ||||
\(215\) | −5.78972 | + | 6.89992i | −0.394856 | + | 0.470571i | ||||
\(216\) | 11.3093 | − | 0.206602i | 0.769503 | − | 0.0140575i | ||||
\(217\) | 0.401657 | − | 0.231897i | 0.0272663 | − | 0.0157422i | ||||
\(218\) | 2.44710 | − | 4.29873i | 0.165738 | − | 0.291147i | ||||
\(219\) | 2.71175 | + | 3.87278i | 0.183243 | + | 0.261698i | ||||
\(220\) | −3.05797 | + | 18.6693i | −0.206169 | + | 1.25868i | ||||
\(221\) | −4.31088 | + | 1.15510i | −0.289981 | + | 0.0777003i | ||||
\(222\) | 3.29086 | + | 0.860342i | 0.220868 | + | 0.0577424i | ||||
\(223\) | 6.97865 | + | 2.54002i | 0.467325 | + | 0.170092i | 0.564940 | − | 0.825132i | \(-0.308899\pi\) |
−0.0976154 | + | 0.995224i | \(0.531122\pi\) | |||||||
\(224\) | 2.48017 | − | 3.78207i | 0.165714 | − | 0.252700i | ||||
\(225\) | 1.51386 | − | 1.27028i | 0.100924 | − | 0.0846852i | ||||
\(226\) | −14.2174 | − | 20.0437i | −0.945726 | − | 1.33328i | ||||
\(227\) | −9.48327 | − | 9.48327i | −0.629427 | − | 0.629427i | 0.318497 | − | 0.947924i | \(-0.396822\pi\) |
−0.947924 | + | 0.318497i | \(0.896822\pi\) | |||||||
\(228\) | 6.17923 | + | 1.58844i | 0.409229 | + | 0.105197i | ||||
\(229\) | −7.72874 | + | 7.72874i | −0.510730 | + | 0.510730i | −0.914750 | − | 0.404020i | \(-0.867612\pi\) |
0.404020 | + | 0.914750i | \(0.367612\pi\) | |||||||
\(230\) | 3.87024 | − | 22.7587i | 0.255196 | − | 1.50066i | ||||
\(231\) | 1.73636 | + | 2.06931i | 0.114244 | + | 0.136150i | ||||
\(232\) | 5.84804 | − | 7.23374i | 0.383942 | − | 0.474918i | ||||
\(233\) | 5.16241 | − | 14.1836i | 0.338201 | − | 0.929199i | −0.647704 | − | 0.761892i | \(-0.724271\pi\) |
0.985905 | − | 0.167307i | \(-0.0535071\pi\) | |||||||
\(234\) | 7.89494 | − | 4.62247i | 0.516108 | − | 0.302180i | ||||
\(235\) | −4.35959 | − | 16.2702i | −0.284388 | − | 1.06135i | ||||
\(236\) | 7.98998 | − | 5.74090i | 0.520103 | − | 0.373701i | ||||
\(237\) | 9.91175 | − | 6.94028i | 0.643838 | − | 0.450820i | ||||
\(238\) | −1.85380 | + | 0.508841i | −0.120164 | + | 0.0329833i | ||||
\(239\) | 3.16932 | + | 5.48943i | 0.205007 | + | 0.355082i | 0.950135 | − | 0.311839i | \(-0.100945\pi\) |
−0.745128 | + | 0.666921i | \(0.767612\pi\) | |||||||
\(240\) | −5.68459 | − | 1.91358i | −0.366939 | − | 0.123521i | ||||
\(241\) | 4.03198 | + | 3.38323i | 0.259722 | + | 0.217933i | 0.763345 | − | 0.645991i | \(-0.223555\pi\) |
−0.503623 | + | 0.863924i | \(0.668000\pi\) | |||||||
\(242\) | 1.35956 | + | 14.5210i | 0.0873960 | + | 0.933445i | ||||
\(243\) | 13.8358 | + | 6.45174i | 0.887567 | + | 0.413879i | ||||
\(244\) | 9.88032 | − | 10.1239i | 0.632523 | − | 0.648118i | ||||
\(245\) | −10.6758 | − | 7.47528i | −0.682052 | − | 0.477578i | ||||
\(246\) | −3.24064 | + | 9.07513i | −0.206616 | + | 0.578609i | ||||
\(247\) | 11.0581 | − | 2.93943i | 0.703612 | − | 0.187032i | ||||
\(248\) | −0.395638 | + | 1.59233i | −0.0251230 | + | 0.101113i | ||||
\(249\) | −2.77703 | + | 0.489665i | −0.175987 | + | 0.0310313i | ||||
\(250\) | −15.7625 | + | 5.84602i | −0.996910 | + | 0.369735i | ||||
\(251\) | 5.82154 | − | 12.4843i | 0.367453 | − | 0.788005i | −0.632458 | − | 0.774595i | \(-0.717954\pi\) |
0.999910 | − | 0.0134095i | \(-0.00426851\pi\) | |||||||
\(252\) | 3.38846 | − | 2.01174i | 0.213453 | − | 0.126728i | ||||
\(253\) | −3.20562 | − | 36.6404i | −0.201536 | − | 2.30356i | ||||
\(254\) | −0.270712 | + | 3.32748i | −0.0169860 | + | 0.208784i | ||||
\(255\) | 1.27471 | + | 2.20786i | 0.0798253 | + | 0.138262i | ||||
\(256\) | 3.54229 | + | 15.6030i | 0.221393 | + | 0.975185i | ||||
\(257\) | 1.99743 | − | 11.3280i | 0.124596 | − | 0.706620i | −0.856951 | − | 0.515398i | \(-0.827644\pi\) |
0.981547 | − | 0.191222i | \(-0.0612449\pi\) | |||||||
\(258\) | −3.74288 | − | 2.58697i | −0.233021 | − | 0.161058i | ||||
\(259\) | 2.53805 | − | 0.680069i | 0.157707 | − | 0.0422574i | ||||
\(260\) | −10.5699 | + | 1.99677i | −0.655520 | + | 0.123835i | ||||
\(261\) | 7.34540 | − | 3.42522i | 0.454669 | − | 0.212016i | ||||
\(262\) | 3.34496 | − | 0.0203669i | 0.206653 | − | 0.00125827i | ||||
\(263\) | −18.5979 | − | 22.1641i | −1.14679 | − | 1.36670i | −0.919605 | − | 0.392844i | \(-0.871491\pi\) |
−0.227188 | − | 0.973851i | \(-0.572953\pi\) | |||||||
\(264\) | −9.53351 | − | 0.658860i | −0.586747 | − | 0.0405501i | ||||
\(265\) | − | 16.6425i | − | 1.02234i | ||||||
\(266\) | 4.75536 | − | 1.29510i | 0.291570 | − | 0.0794079i | ||||
\(267\) | −6.61331 | + | 6.61331i | −0.404728 | + | 0.404728i | ||||
\(268\) | 0.669546 | + | 2.38235i | 0.0408991 | + | 0.145525i | ||||
\(269\) | 15.1072 | + | 1.32170i | 0.921099 | + | 0.0805857i | 0.537832 | − | 0.843052i | \(-0.319243\pi\) |
0.383267 | + | 0.923638i | \(0.374799\pi\) | |||||||
\(270\) | −8.24364 | − | 8.14386i | −0.501692 | − | 0.495620i | ||||
\(271\) | −7.63153 | − | 2.77765i | −0.463582 | − | 0.168730i | 0.0996606 | − | 0.995021i | \(-0.468224\pi\) |
−0.563243 | + | 0.826291i | \(0.690447\pi\) | |||||||
\(272\) | 3.25590 | − | 5.97062i | 0.197418 | − | 0.362022i | ||||
\(273\) | −0.767983 | + | 1.33018i | −0.0464804 | + | 0.0805064i | ||||
\(274\) | −12.3609 | + | 17.8839i | −0.746748 | + | 1.08041i | ||||
\(275\) | −3.03253 | + | 2.12340i | −0.182869 | + | 0.128046i | ||||
\(276\) | 11.6285 | + | 0.874815i | 0.699952 | + | 0.0526577i | ||||
\(277\) | 0.898662 | + | 0.240796i | 0.0539954 | + | 0.0144680i | 0.285716 | − | 0.958314i | \(-0.407769\pi\) |
−0.231720 | + | 0.972782i | \(0.574435\pi\) | |||||||
\(278\) | −2.35658 | − | 2.77399i | −0.141338 | − | 0.166373i | ||||
\(279\) | −0.918913 | + | 1.09512i | −0.0550139 | + | 0.0655630i | ||||
\(280\) | −4.54755 | + | 0.887791i | −0.271768 | + | 0.0530557i | ||||
\(281\) | 7.24956 | + | 19.9180i | 0.432473 | + | 1.18821i | 0.944290 | + | 0.329114i | \(0.106750\pi\) |
−0.511818 | + | 0.859094i | \(0.671028\pi\) | |||||||
\(282\) | 7.97764 | − | 2.95876i | 0.475062 | − | 0.176191i | ||||
\(283\) | −11.2016 | − | 7.84341i | −0.665863 | − | 0.466242i | 0.191134 | − | 0.981564i | \(-0.438784\pi\) |
−0.856997 | + | 0.515322i | \(0.827673\pi\) | |||||||
\(284\) | −11.3979 | − | 9.32984i | −0.676341 | − | 0.553624i | ||||
\(285\) | −3.25683 | − | 5.66701i | −0.192918 | − | 0.335685i | ||||
\(286\) | −15.4881 | + | 7.33736i | −0.915831 | + | 0.433867i | ||||
\(287\) | 1.29263 | + | 7.33088i | 0.0763016 | + | 0.432728i | ||||
\(288\) | −3.19657 | + | 13.5693i | −0.188360 | + | 0.799578i | ||||
\(289\) | 13.2585 | − | 4.82571i | 0.779913 | − | 0.283865i | ||||
\(290\) | −9.48802 | + | 0.888339i | −0.557156 | + | 0.0521650i | ||||
\(291\) | 0.875149 | + | 10.0030i | 0.0513022 | + | 0.586386i | ||||
\(292\) | −12.0862 | + | 4.56645i | −0.707292 | + | 0.267231i | ||||
\(293\) | 3.72022 | + | 0.996830i | 0.217338 | + | 0.0582354i | 0.365845 | − | 0.930676i | \(-0.380780\pi\) |
−0.148507 | + | 0.988911i | \(0.547447\pi\) | |||||||
\(294\) | 3.25690 | − | 5.72129i | 0.189946 | − | 0.333672i | ||||
\(295\) | −9.92614 | − | 1.75025i | −0.577922 | − | 0.101903i | ||||
\(296\) | −4.49994 | + | 8.13370i | −0.261554 | + | 0.472762i | ||||
\(297\) | −15.9888 | − | 9.23113i | −0.927763 | − | 0.535644i | ||||
\(298\) | −19.8539 | + | 11.6244i | −1.15011 | + | 0.673384i | ||||
\(299\) | 18.9541 | − | 8.83842i | 1.09614 | − | 0.511139i | ||||
\(300\) | −0.508963 | − | 1.05765i | −0.0293850 | − | 0.0610637i | ||||
\(301\) | −3.50136 | − | 0.306329i | −0.201815 | − | 0.0176565i | ||||
\(302\) | −12.1199 | + | 8.59692i | −0.697424 | + | 0.494697i | ||||
\(303\) | −5.53253 | −0.317835 | ||||||||
\(304\) | −8.37796 | + | 15.2908i | −0.480509 | + | 0.876990i | ||||
\(305\) | −14.4923 | −0.829824 | ||||||||
\(306\) | 4.83302 | − | 3.42816i | 0.276285 | − | 0.195975i | ||||
\(307\) | 25.9638 | + | 2.27154i | 1.48183 | + | 0.129643i | 0.799176 | − | 0.601098i | \(-0.205270\pi\) |
0.682655 | + | 0.730741i | \(0.260825\pi\) | |||||||
\(308\) | −6.65195 | + | 3.20104i | −0.379030 | + | 0.182396i | ||||
\(309\) | 7.34558 | − | 3.42530i | 0.417875 | − | 0.194859i | ||||
\(310\) | 1.45054 | − | 0.849290i | 0.0823854 | − | 0.0482364i | ||||
\(311\) | 3.18329 | + | 1.83787i | 0.180508 | + | 0.104216i | 0.587531 | − | 0.809202i | \(-0.300100\pi\) |
−0.407023 | + | 0.913418i | \(0.633433\pi\) | |||||||
\(312\) | −1.50198 | − | 5.22202i | −0.0850331 | − | 0.295638i | ||||
\(313\) | −8.70944 | − | 1.53571i | −0.492287 | − | 0.0868034i | −0.0780066 | − | 0.996953i | \(-0.524856\pi\) |
−0.414280 | + | 0.910149i | \(0.635967\pi\) | |||||||
\(314\) | 14.9248 | − | 26.2179i | 0.842257 | − | 1.47956i | ||||
\(315\) | −3.89950 | − | 1.04487i | −0.219712 | − | 0.0588716i | ||||
\(316\) | 11.6871 | + | 30.9327i | 0.657450 | + | 1.74010i | ||||
\(317\) | −0.351110 | − | 4.01320i | −0.0197203 | − | 0.225404i | −0.999659 | − | 0.0261057i | \(-0.991689\pi\) |
0.979939 | − | 0.199298i | \(-0.0638662\pi\) | |||||||
\(318\) | 8.37019 | − | 0.783679i | 0.469377 | − | 0.0439465i | ||||
\(319\) | −14.2671 | + | 5.19280i | −0.798804 | + | 0.290741i | ||||
\(320\) | 8.90504 | − | 13.7615i | 0.497807 | − | 0.769291i | ||||
\(321\) | 1.77557 | + | 10.0697i | 0.0991025 | + | 0.562038i | ||||
\(322\) | 8.14090 | − | 3.85668i | 0.453674 | − | 0.214924i | ||||
\(323\) | 6.96897 | − | 2.52080i | 0.387764 | − | 0.140261i | ||||
\(324\) | −5.65817 | + | 6.91237i | −0.314343 | + | 0.384021i | ||||
\(325\) | −1.72431 | − | 1.20738i | −0.0956477 | − | 0.0669732i | ||||
\(326\) | −0.879784 | + | 0.326295i | −0.0487268 | + | 0.0180718i | ||||
\(327\) | −0.875494 | − | 2.40540i | −0.0484149 | − | 0.133019i | ||||
\(328\) | −21.8441 | − | 14.7082i | −1.20614 | − | 0.812123i | ||||
\(329\) | 4.22492 | − | 5.03507i | 0.232928 | − | 0.277592i | ||||
\(330\) | 6.33846 | + | 7.46114i | 0.348921 | + | 0.410722i | ||||
\(331\) | 5.68091 | + | 1.52220i | 0.312251 | + | 0.0836674i | 0.411541 | − | 0.911391i | \(-0.364991\pi\) |
−0.0992903 | + | 0.995059i | \(0.531657\pi\) | |||||||
\(332\) | 0.578102 | − | 7.68442i | 0.0317275 | − | 0.421737i | ||||
\(333\) | −6.63442 | + | 4.64547i | −0.363564 | + | 0.254570i | ||||
\(334\) | −4.57486 | + | 6.61899i | −0.250325 | + | 0.362175i | ||||
\(335\) | 1.26759 | − | 2.19554i | 0.0692560 | − | 0.119955i | ||||
\(336\) | −0.660645 | − | 2.24534i | −0.0360411 | − | 0.122493i | ||||
\(337\) | −8.55094 | − | 3.11229i | −0.465799 | − | 0.169537i | 0.0984492 | − | 0.995142i | \(-0.468612\pi\) |
−0.564249 | + | 0.825605i | \(0.690834\pi\) | |||||||
\(338\) | 6.14642 | + | 6.07203i | 0.334321 | + | 0.330275i | ||||
\(339\) | −12.6686 | − | 1.10836i | −0.688062 | − | 0.0601977i | ||||
\(340\) | −6.70719 | + | 1.88502i | −0.363748 | + | 0.102229i | ||||
\(341\) | 1.89366 | − | 1.89366i | 0.102547 | − | 0.102547i | ||||
\(342\) | −12.4084 | + | 8.76443i | −0.670968 | + | 0.473926i | ||||
\(343\) | − | 10.6822i | − | 0.576784i | ||||||
\(344\) | 9.37738 | − | 8.16503i | 0.505594 | − | 0.440229i | ||||
\(345\) | −7.67913 | − | 9.15164i | −0.413431 | − | 0.492708i | ||||
\(346\) | −29.0074 | + | 0.176621i | −1.55945 | + | 0.00949519i | ||||
\(347\) | 25.7475 | − | 12.0063i | 1.38220 | − | 0.644530i | 0.417692 | − | 0.908589i | \(-0.362839\pi\) |
0.964507 | + | 0.264059i | \(0.0850613\pi\) | |||||||
\(348\) | −0.893561 | − | 4.73007i | −0.0478999 | − | 0.253558i | ||||
\(349\) | 27.1190 | − | 7.26652i | 1.45165 | − | 0.388968i | 0.555052 | − | 0.831816i | \(-0.312699\pi\) |
0.896597 | + | 0.442848i | \(0.146032\pi\) | |||||||
\(350\) | −0.745879 | − | 0.515531i | −0.0398689 | − | 0.0275563i | ||||
\(351\) | 1.82291 | − | 10.3382i | 0.0972997 | − | 0.551814i | ||||
\(352\) | 8.18084 | − | 24.8009i | 0.436040 | − | 1.32189i | ||||
\(353\) | 2.07004 | + | 3.58542i | 0.110177 | + | 0.190832i | 0.915842 | − | 0.401540i | \(-0.131525\pi\) |
−0.805664 | + | 0.592372i | \(0.798192\pi\) | |||||||
\(354\) | 0.412857 | − | 5.07467i | 0.0219431 | − | 0.269715i | ||||
\(355\) | 1.31517 | + | 15.0324i | 0.0698017 | + | 0.797837i | ||||
\(356\) | −13.0480 | − | 21.9774i | −0.691544 | − | 1.16480i | ||||
\(357\) | −0.420428 | + | 0.901610i | −0.0222514 | + | 0.0477183i | ||||
\(358\) | −29.8601 | + | 11.0745i | −1.57816 | + | 0.585308i | ||||
\(359\) | −17.5714 | + | 3.09832i | −0.927385 | + | 0.163523i | −0.616888 | − | 0.787051i | \(-0.711607\pi\) |
−0.310497 | + | 0.950574i | \(0.600496\pi\) | |||||||
\(360\) | 12.2359 | − | 7.36560i | 0.644887 | − | 0.388201i | ||||
\(361\) | −17.8799 | + | 6.42724i | −0.941047 | + | 0.338276i | ||||
\(362\) | 5.24471 | − | 14.6874i | 0.275656 | − | 0.771951i | ||||
\(363\) | 6.18249 | + | 4.32903i | 0.324497 | + | 0.227215i | ||||
\(364\) | −3.00399 | − | 2.93171i | −0.157452 | − | 0.153663i | ||||
\(365\) | 11.9960 | + | 5.59384i | 0.627901 | + | 0.292795i | ||||
\(366\) | −0.682424 | − | 7.28873i | −0.0356709 | − | 0.380988i | ||||
\(367\) | −7.56368 | − | 6.34668i | −0.394821 | − | 0.331294i | 0.423667 | − | 0.905818i | \(-0.360743\pi\) |
−0.818488 | + | 0.574524i | \(0.805187\pi\) | |||||||
\(368\) | −10.1670 | + | 30.2028i | −0.529993 | + | 1.57443i | ||||
\(369\) | −11.4725 | − | 19.8709i | −0.597232 | − | 1.03444i | ||||
\(370\) | 9.18325 | − | 2.52067i | 0.477414 | − | 0.131043i | ||||
\(371\) | 5.31968 | − | 3.72488i | 0.276184 | − | 0.193386i | ||||
\(372\) | 0.495446 | + | 0.689544i | 0.0256877 | + | 0.0357512i | ||||
\(373\) | −3.75724 | − | 14.0222i | −0.194543 | − | 0.726043i | −0.992385 | − | 0.123177i | \(-0.960692\pi\) |
0.797842 | − | 0.602867i | \(-0.205975\pi\) | |||||||
\(374\) | −9.57901 | + | 5.60848i | −0.495319 | + | 0.290008i | ||||
\(375\) | −2.97557 | + | 8.17532i | −0.153658 | + | 0.422172i | ||||
\(376\) | 2.44934 | + | 23.1230i | 0.126315 | + | 1.19248i | ||||
\(377\) | −5.54916 | − | 6.61324i | −0.285797 | − | 0.340599i | ||||
\(378\) | 0.758068 | − | 4.45777i | 0.0389908 | − | 0.229283i | ||||
\(379\) | −12.1566 | + | 12.1566i | −0.624443 | + | 0.624443i | −0.946664 | − | 0.322221i | \(-0.895570\pi\) |
0.322221 | + | 0.946664i | \(0.395570\pi\) | |||||||
\(380\) | 17.2055 | − | 4.79857i | 0.882624 | − | 0.246161i | ||||
\(381\) | 1.22163 | + | 1.22163i | 0.0625860 | + | 0.0625860i | ||||
\(382\) | 10.2536 | + | 14.4556i | 0.524621 | + | 0.739611i | ||||
\(383\) | 16.8108 | − | 14.1059i | 0.858989 | − | 0.720778i | −0.102761 | − | 0.994706i | \(-0.532768\pi\) |
0.961750 | + | 0.273929i | \(0.0883232\pi\) | |||||||
\(384\) | 7.34053 | + | 3.83068i | 0.374595 | + | 0.195484i | ||||
\(385\) | 7.10658 | + | 2.58658i | 0.362185 | + | 0.131825i | ||||
\(386\) | 21.6301 | + | 5.65484i | 1.10094 | + | 0.287824i | ||||
\(387\) | 10.4645 | − | 2.80395i | 0.531940 | − | 0.142533i | ||||
\(388\) | −27.0797 | − | 4.43558i | −1.37477 | − | 0.225183i | ||||
\(389\) | 18.2059 | + | 26.0008i | 0.923077 | + | 1.31829i | 0.947890 | + | 0.318599i | \(0.103212\pi\) |
−0.0248126 | + | 0.999692i | \(0.507899\pi\) | |||||||
\(390\) | −2.75392 | + | 4.83772i | −0.139450 | + | 0.244968i | ||||
\(391\) | 11.7306 | − | 6.77264i | 0.593240 | − | 0.342507i | ||||
\(392\) | 12.9518 | + | 12.4871i | 0.654164 | + | 0.630692i | ||||
\(393\) | 1.11269 | − | 1.32605i | 0.0561278 | − | 0.0668906i | ||||
\(394\) | 2.59371 | − | 3.12957i | 0.130669 | − | 0.157666i | ||||
\(395\) | 14.3165 | − | 30.7019i | 0.720343 | − | 1.54478i | ||||
\(396\) | 15.8925 | − | 16.2843i | 0.798628 | − | 0.818319i | ||||
\(397\) | −4.36534 | + | 6.23435i | −0.219090 | + | 0.312893i | −0.913619 | − | 0.406572i | \(-0.866724\pi\) |
0.694529 | + | 0.719465i | \(0.255613\pi\) | |||||||
\(398\) | 1.42766 | + | 3.01357i | 0.0715619 | + | 0.151057i | ||||
\(399\) | 1.08249 | − | 2.30940i | 0.0541925 | − | 0.115615i | ||||
\(400\) | 3.14437 | − | 0.633757i | 0.157219 | − | 0.0316878i | ||||
\(401\) | 1.00207 | + | 5.68301i | 0.0500409 | + | 0.283796i | 0.999552 | − | 0.0299382i | \(-0.00953106\pi\) |
−0.949511 | + | 0.313734i | \(0.898420\pi\) | |||||||
\(402\) | 1.16391 | + | 0.534138i | 0.0580506 | + | 0.0266404i | ||||
\(403\) | 1.38008 | + | 0.643540i | 0.0687464 | + | 0.0320570i | ||||
\(404\) | 3.73503 | − | 14.6507i | 0.185825 | − | 0.728898i | ||||
\(405\) | 9.11655 | − | 0.797595i | 0.453005 | − | 0.0396328i | ||||
\(406\) | −2.40753 | − | 2.83396i | −0.119484 | − | 0.140647i | ||||
\(407\) | 13.1395 | − | 7.58610i | 0.651301 | − | 0.376029i | ||||
\(408\) | −1.26388 | − | 3.28455i | −0.0625716 | − | 0.162609i | ||||
\(409\) | 28.1605 | + | 4.96546i | 1.39245 | + | 0.245526i | 0.819037 | − | 0.573741i | \(-0.194508\pi\) |
0.573412 | + | 0.819267i | \(0.305619\pi\) | |||||||
\(410\) | 4.84645 | + | 26.5396i | 0.239349 | + | 1.31070i | ||||
\(411\) | 2.91181 | + | 10.8670i | 0.143629 | + | 0.536030i | ||||
\(412\) | 4.11150 | + | 21.7642i | 0.202559 | + | 1.07225i | ||||
\(413\) | −1.66218 | − | 3.56457i | −0.0817907 | − | 0.175401i | ||||
\(414\) | −19.5140 | + | 19.7531i | −0.959060 | + | 0.970810i | ||||
\(415\) | −6.04765 | + | 5.07458i | −0.296867 | + | 0.249101i | ||||
\(416\) | 14.8424 | − | 0.451998i | 0.727709 | − | 0.0221610i | ||||
\(417\) | −1.88361 | −0.0922407 | ||||||||
\(418\) | 24.5873 | − | 14.3301i | 1.20260 | − | 0.700909i | ||||
\(419\) | −26.0959 | − | 26.0959i | −1.27487 | − | 1.27487i | −0.943503 | − | 0.331364i | \(-0.892491\pi\) |
−0.331364 | − | 0.943503i | \(-0.607509\pi\) | |||||||
\(420\) | −1.17351 | + | 2.09097i | −0.0572614 | + | 0.102029i | ||||
\(421\) | 1.34218 | − | 15.3411i | 0.0654137 | − | 0.747682i | −0.890682 | − | 0.454627i | \(-0.849773\pi\) |
0.956096 | − | 0.293055i | \(-0.0946718\pi\) | |||||||
\(422\) | −10.9505 | + | 0.0666758i | −0.533063 | + | 0.00324573i | ||||
\(423\) | −6.92923 | + | 19.0379i | −0.336911 | + | 0.925654i | ||||
\(424\) | −3.57549 | + | 22.6941i | −0.173641 | + | 1.10212i | ||||
\(425\) | −1.18071 | − | 0.681684i | −0.0572729 | − | 0.0330665i | ||||
\(426\) | −7.49847 | + | 1.36931i | −0.363302 | + | 0.0663432i | ||||
\(427\) | −3.24361 | − | 4.63236i | −0.156970 | − | 0.224176i | ||||
\(428\) | −27.8644 | − | 2.09625i | −1.34687 | − | 0.101326i | ||||
\(429\) | −2.29546 | + | 8.56677i | −0.110826 | + | 0.413607i | ||||
\(430\) | −12.6962 | − | 1.03292i | −0.612263 | − | 0.0498116i | ||||
\(431\) | 6.51436 | + | 5.46619i | 0.313785 | + | 0.263297i | 0.786055 | − | 0.618157i | \(-0.212120\pi\) |
−0.472269 | + | 0.881454i | \(0.656565\pi\) | |||||||
\(432\) | 9.49159 | + | 12.8762i | 0.456664 | + | 0.619508i | ||||
\(433\) | 12.3671 | − | 4.50127i | 0.594327 | − | 0.216317i | −0.0273048 | − | 0.999627i | \(-0.508692\pi\) |
0.621631 | + | 0.783310i | \(0.286470\pi\) | |||||||
\(434\) | 0.596127 | + | 0.273572i | 0.0286150 | + | 0.0131319i | ||||
\(435\) | −2.82859 | + | 4.03964i | −0.135620 | + | 0.193686i | ||||
\(436\) | 6.96078 | − | 0.694499i | 0.333361 | − | 0.0332605i | ||||
\(437\) | −30.1094 | + | 17.3038i | −1.44033 | + | 0.827753i | ||||
\(438\) | −2.24849 | + | 6.29669i | −0.107437 | + | 0.300868i | ||||
\(439\) | 24.4081 | − | 4.30381i | 1.16494 | − | 0.205410i | 0.442449 | − | 0.896794i | \(-0.354110\pi\) |
0.722488 | + | 0.691384i | \(0.242999\pi\) | |||||||
\(440\) | −24.0369 | + | 11.7478i | −1.14592 | + | 0.560055i | ||||
\(441\) | 5.36132 | + | 14.7301i | 0.255301 | + | 0.701433i | ||||
\(442\) | −4.85956 | − | 4.02749i | −0.231146 | − | 0.191568i | ||||
\(443\) | −24.6805 | + | 2.15926i | −1.17260 | + | 0.102590i | −0.656765 | − | 0.754095i | \(-0.728076\pi\) |
−0.515840 | + | 0.856685i | \(0.672520\pi\) | |||||||
\(444\) | 1.70017 | + | 4.49992i | 0.0806867 | + | 0.213557i | ||||
\(445\) | −6.77695 | + | 25.2919i | −0.321258 | + | 1.19895i | ||||
\(446\) | 2.78001 | + | 10.1281i | 0.131637 | + | 0.479578i | ||||
\(447\) | −2.06743 | + | 11.7250i | −0.0977860 | + | 0.554572i | ||||
\(448\) | 6.39188 | − | 0.233615i | 0.301988 | − | 0.0110373i | ||||
\(449\) | −13.3454 | + | 23.1148i | −0.629807 | + | 1.09086i | 0.357784 | + | 0.933804i | \(0.383532\pi\) |
−0.987590 | + | 0.157052i | \(0.949801\pi\) | |||||||
\(450\) | 2.70390 | + | 0.706890i | 0.127463 | + | 0.0333231i | ||||
\(451\) | 18.1654 | + | 38.9558i | 0.855375 | + | 1.83436i | ||||
\(452\) | 11.4876 | − | 32.7994i | 0.540333 | − | 1.54275i | ||||
\(453\) | −0.670198 | + | 7.66039i | −0.0314886 | + | 0.359917i | ||||
\(454\) | 3.17972 | − | 18.6981i | 0.149232 | − | 0.877546i | ||||
\(455\) | 4.30017i | 0.201595i | ||||||||
\(456\) | 3.22358 | + | 8.42737i | 0.150958 | + | 0.394648i | ||||
\(457\) | − | 33.6921i | − | 1.57605i | −0.615643 | − | 0.788025i | \(-0.711104\pi\) | ||
0.615643 | − | 0.788025i | \(-0.288896\pi\) | |||||||
\(458\) | −15.2387 | − | 2.59143i | −0.712058 | − | 0.121089i | ||||
\(459\) | 0.592588 | − | 6.77331i | 0.0276596 | − | 0.316151i | ||||
\(460\) | 29.4186 | − | 14.1568i | 1.37165 | − | 0.660064i | ||||
\(461\) | 16.0621 | + | 34.4453i | 0.748087 | + | 1.60428i | 0.795905 | + | 0.605422i | \(0.206996\pi\) |
−0.0478173 | + | 0.998856i | \(0.515227\pi\) | |||||||
\(462\) | −0.966255 | + | 3.69598i | −0.0449542 | + | 0.171953i | ||||
\(463\) | −16.2649 | + | 28.1716i | −0.755892 | + | 1.30924i | 0.189038 | + | 0.981970i | \(0.439463\pi\) |
−0.944930 | + | 0.327273i | \(0.893870\pi\) | |||||||
\(464\) | 13.1289 | + | 0.827052i | 0.609496 | + | 0.0383949i | ||||
\(465\) | 0.151048 | − | 0.856637i | 0.00700469 | − | 0.0397256i | ||||
\(466\) | 20.5846 | − | 5.65018i | 0.953563 | − | 0.261740i | ||||
\(467\) | 1.91432 | − | 7.14433i | 0.0885841 | − | 0.330600i | −0.907385 | − | 0.420301i | \(-0.861924\pi\) |
0.995969 | + | 0.0897008i | \(0.0285911\pi\) | |||||||
\(468\) | 11.7916 | + | 5.32469i | 0.545068 | + | 0.246134i | ||||
\(469\) | 0.985499 | − | 0.0862200i | 0.0455061 | − | 0.00398127i | ||||
\(470\) | 15.2006 | − | 18.3410i | 0.701152 | − | 0.846008i | ||||
\(471\) | −5.33963 | − | 14.6705i | −0.246037 | − | 0.675981i | ||||
\(472\) | 13.1595 | + | 4.51921i | 0.605715 | + | 0.208014i | ||||
\(473\) | −19.9864 | + | 3.52415i | −0.918978 | + | 0.162041i | ||||
\(474\) | 16.1154 | + | 5.75464i | 0.740203 | + | 0.264319i | ||||
\(475\) | 3.02363 | + | 1.75373i | 0.138733 | + | 0.0804665i | ||||
\(476\) | −2.10372 | − | 1.72201i | −0.0964238 | − | 0.0789284i | ||||
\(477\) | −11.4814 | + | 16.3971i | −0.525697 | + | 0.750773i | ||||
\(478\) | −3.73890 | + | 8.14724i | −0.171013 | + | 0.372646i | ||||
\(479\) | −31.1158 | + | 11.3252i | −1.42172 | + | 0.517464i | −0.934546 | − | 0.355842i | \(-0.884194\pi\) |
−0.487173 | + | 0.873305i | \(0.661972\pi\) | |||||||
\(480\) | −2.44382 | − | 8.12284i | −0.111544 | − | 0.370755i | ||||
\(481\) | 6.60865 | + | 5.54532i | 0.301329 | + | 0.252845i | ||||
\(482\) | −0.603585 | + | 7.41902i | −0.0274926 | + | 0.337927i | ||||
\(483\) | 1.20654 | − | 4.50288i | 0.0548996 | − | 0.204888i | ||||
\(484\) | −15.6375 | + | 13.4493i | −0.710796 | + | 0.611332i | ||||
\(485\) | 16.1243 | + | 23.0279i | 0.732167 | + | 1.04564i | ||||
\(486\) | 3.87837 | + | 21.2383i | 0.175927 | + | 0.963391i | ||||
\(487\) | 13.2937 | + | 7.67514i | 0.602396 | + | 0.347794i | 0.769984 | − | 0.638064i | \(-0.220264\pi\) |
−0.167587 | + | 0.985857i | \(0.553598\pi\) | |||||||
\(488\) | 19.7620 | + | 3.11352i | 0.894582 | + | 0.140943i | ||||
\(489\) | −0.166081 | + | 0.456305i | −0.00751046 | + | 0.0206348i | ||||
\(490\) | −0.112222 | − | 18.4307i | −0.00506966 | − | 0.832616i | ||||
\(491\) | −1.03911 | + | 11.8771i | −0.0468944 | + | 0.536006i | 0.936021 | + | 0.351945i | \(0.114480\pi\) |
−0.982915 | + | 0.184060i | \(0.941076\pi\) | |||||||
\(492\) | −13.1196 | + | 3.68719i | −0.591477 | + | 0.166231i | ||||
\(493\) | −3.95373 | − | 3.95373i | −0.178067 | − | 0.178067i | ||||
\(494\) | 12.4384 | + | 10.3505i | 0.559629 | + | 0.465690i | ||||
\(495\) | −23.3108 | −1.04774 | ||||||||
\(496\) | −2.16046 | + | 0.846476i | −0.0970074 | + | 0.0380079i | ||||
\(497\) | −4.51066 | + | 3.78490i | −0.202331 | + | 0.169776i | ||||
\(498\) | −2.83699 | − | 2.80265i | −0.127128 | − | 0.125590i | ||||
\(499\) | 5.20737 | + | 11.1672i | 0.233114 | + | 0.499915i | 0.987714 | − | 0.156270i | \(-0.0499470\pi\) |
−0.754600 | + | 0.656185i | \(0.772169\pi\) | |||||||
\(500\) | −19.6402 | − | 13.3988i | −0.878338 | − | 0.599213i | ||||
\(501\) | 1.07768 | + | 4.02197i | 0.0481473 | + | 0.179688i | ||||
\(502\) | 19.1638 | − | 3.49954i | 0.855323 | − | 0.156192i | ||||
\(503\) | −21.0067 | − | 3.70404i | −0.936640 | − | 0.165155i | −0.315563 | − | 0.948905i | \(-0.602193\pi\) |
−0.621077 | + | 0.783750i | \(0.713305\pi\) | |||||||
\(504\) | 5.09297 | + | 2.26258i | 0.226859 | + | 0.100783i | ||||
\(505\) | −13.4140 | + | 7.74457i | −0.596915 | + | 0.344629i | ||||
\(506\) | 39.6417 | − | 33.6768i | 1.76229 | − | 1.49712i | ||||
\(507\) | 4.45411 | − | 0.389684i | 0.197814 | − | 0.0173065i | ||||
\(508\) | −4.05972 | + | 2.41027i | −0.180121 | + | 0.106938i | ||||
\(509\) | −19.2300 | − | 8.96711i | −0.852356 | − | 0.397460i | −0.0532001 | − | 0.998584i | \(-0.516942\pi\) |
−0.799156 | + | 0.601124i | \(0.794720\pi\) | |||||||
\(510\) | −1.50379 | + | 3.27684i | −0.0665891 | + | 0.145101i | ||||
\(511\) | 0.896880 | + | 5.08646i | 0.0396756 | + | 0.225012i | ||||
\(512\) | −15.0996 | + | 16.8523i | −0.667316 | + | 0.744775i | ||||
\(513\) | −1.55385 | + | 17.3624i | −0.0686041 | + | 0.766567i | ||||
\(514\) | 14.7011 | − | 6.96450i | 0.648436 | − | 0.307191i | ||||
\(515\) | 13.0150 | − | 18.5874i | 0.573511 | − | 0.819059i | ||||
\(516\) | −0.0783545 | − | 6.43404i | −0.00344936 | − | 0.283243i | ||||
\(517\) | 16.0395 | − | 34.3969i | 0.705417 | − | 1.51277i | ||||
\(518\) | 2.86109 | + | 2.37120i | 0.125709 | + | 0.104185i | ||||
\(519\) | −9.64920 | + | 11.4995i | −0.423553 | + | 0.504771i | ||||
\(520\) | −10.9516 | − | 10.5586i | −0.480258 | − | 0.463026i | ||||
\(521\) | 28.2511 | − | 16.3108i | 1.23770 | − | 0.714589i | 0.269080 | − | 0.963118i | \(-0.413280\pi\) |
0.968625 | + | 0.248529i | \(0.0799470\pi\) | |||||||
\(522\) | 9.96097 | + | 5.67038i | 0.435980 | + | 0.248186i | ||||
\(523\) | −12.4178 | − | 17.7345i | −0.542994 | − | 0.775475i | 0.450078 | − | 0.892989i | \(-0.351396\pi\) |
−0.993071 | + | 0.117514i | \(0.962507\pi\) | |||||||
\(524\) | 2.76034 | + | 3.84174i | 0.120586 | + | 0.167827i | ||||
\(525\) | −0.453227 | + | 0.121442i | −0.0197804 | + | 0.00530015i | ||||
\(526\) | 10.3494 | − | 39.5871i | 0.451256 | − | 1.72608i | ||||
\(527\) | 0.926775 | + | 0.337319i | 0.0403710 | + | 0.0146938i | ||||
\(528\) | −7.04031 | − | 11.5359i | −0.306390 | − | 0.502038i | ||||
\(529\) | −31.0045 | + | 26.0158i | −1.34802 | + | 1.13112i | ||||
\(530\) | 19.1971 | − | 13.6169i | 0.833868 | − | 0.591480i | ||||
\(531\) | 8.57231 | + | 8.57231i | 0.372006 | + | 0.372006i | ||||
\(532\) | 5.38472 | + | 4.42563i | 0.233457 | + | 0.191876i | ||||
\(533\) | −17.2819 | + | 17.2819i | −0.748562 | + | 0.748562i | ||||
\(534\) | −13.0394 | − | 2.21743i | −0.564271 | − | 0.0959575i | ||||
\(535\) | 18.4009 | + | 21.9293i | 0.795539 | + | 0.948087i | ||||
\(536\) | −2.20021 | + | 2.72155i | −0.0950346 | + | 0.117553i | ||||
\(537\) | −5.63685 | + | 15.4871i | −0.243248 | + | 0.668318i | ||||
\(538\) | 10.8361 | + | 18.5074i | 0.467176 | + | 0.797913i | ||||
\(539\) | −7.60022 | − | 28.3644i | −0.327365 | − | 1.22174i | ||||
\(540\) | 2.64898 | − | 16.1723i | 0.113994 | − | 0.695945i | ||||
\(541\) | 34.0998 | − | 23.8769i | 1.46606 | − | 1.02655i | 0.477025 | − | 0.878890i | \(-0.341715\pi\) |
0.989038 | − | 0.147659i | \(-0.0471737\pi\) | |||||||
\(542\) | −3.04010 | − | 11.0756i | −0.130583 | − | 0.475738i | ||||
\(543\) | −4.03536 | − | 6.98945i | −0.173174 | − | 0.299946i | ||||
\(544\) | 9.55106 | − | 1.12948i | 0.409498 | − | 0.0484260i | ||||
\(545\) | −5.48984 | − | 4.60652i | −0.235159 | − | 0.197322i | ||||
\(546\) | −2.16272 | + | 0.202490i | −0.0925560 | + | 0.00866578i | ||||
\(547\) | −14.7855 | − | 6.89461i | −0.632184 | − | 0.294792i | 0.0799897 | − | 0.996796i | \(-0.474511\pi\) |
−0.712173 | + | 0.702004i | \(0.752289\pi\) | |||||||
\(548\) | −30.7427 | + | 0.374387i | −1.31326 | + | 0.0159930i | ||||
\(549\) | 14.2786 | + | 9.99795i | 0.609394 | + | 0.426702i | ||||
\(550\) | −4.93055 | − | 1.76065i | −0.210239 | − | 0.0750744i | ||||
\(551\) | 10.1164 | + | 10.1567i | 0.430972 | + | 0.432692i | ||||
\(552\) | 8.50530 | + | 14.1292i | 0.362010 | + | 0.601378i | ||||
\(553\) | 13.0180 | − | 2.29542i | 0.553580 | − | 0.0976112i | ||||
\(554\) | 0.457527 | + | 1.23362i | 0.0194384 | + | 0.0524115i | ||||
\(555\) | 2.08269 | − | 4.46635i | 0.0884054 | − | 0.189586i | ||||
\(556\) | 1.27163 | − | 4.98798i | 0.0539292 | − | 0.211537i | ||||
\(557\) | −3.24677 | − | 37.1108i | −0.137570 | − | 1.57243i | −0.680558 | − | 0.732694i | \(-0.738263\pi\) |
0.542988 | − | 0.839740i | \(-0.317293\pi\) | |||||||
\(558\) | −2.01507 | − | 0.163939i | −0.0853045 | − | 0.00694008i | ||||
\(559\) | −5.76985 | − | 9.99367i | −0.244039 | − | 0.422687i | ||||
\(560\) | −4.74486 | − | 4.51919i | −0.200507 | − | 0.190971i | ||||
\(561\) | −0.997482 | + | 5.65700i | −0.0421137 | + | 0.238839i | ||||
\(562\) | −17.0438 | + | 24.6592i | −0.718947 | + | 1.04019i | ||||
\(563\) | 18.6401 | − | 4.99459i | 0.785584 | − | 0.210497i | 0.156339 | − | 0.987703i | \(-0.450031\pi\) |
0.629245 | + | 0.777207i | \(0.283364\pi\) | |||||||
\(564\) | 9.94021 | + | 6.78133i | 0.418558 | + | 0.285545i | ||||
\(565\) | −32.2673 | + | 15.0465i | −1.35750 | + | 0.633011i | ||||
\(566\) | −0.117748 | − | 19.3384i | −0.00494933 | − | 0.812854i | ||||
\(567\) | 2.29539 | + | 2.73554i | 0.0963972 | + | 0.114882i | ||||
\(568\) | 1.43618 | − | 20.7811i | 0.0602608 | − | 0.871955i | ||||
\(569\) | 6.93854i | 0.290879i | 0.989367 | + | 0.145439i | \(0.0464596\pi\) | ||||
−0.989367 | + | 0.145439i | \(0.953540\pi\) | |||||||
\(570\) | 3.87215 | − | 8.39347i | 0.162186 | − | 0.351564i | ||||
\(571\) | −21.8154 | + | 21.8154i | −0.912947 | + | 0.912947i | −0.996503 | − | 0.0835559i | \(-0.973372\pi\) |
0.0835559 | + | 0.996503i | \(0.473372\pi\) | |||||||
\(572\) | −21.1360 | − | 11.8621i | −0.883739 | − | 0.495977i | ||||
\(573\) | 9.13662 | + | 0.799351i | 0.381688 | + | 0.0333934i | ||||
\(574\) | −7.39851 | + | 7.48915i | −0.308808 | + | 0.312591i | ||||
\(575\) | 6.00348 | + | 2.18509i | 0.250362 | + | 0.0911244i | ||||
\(576\) | −18.2675 | + | 7.41514i | −0.761148 | + | 0.308964i | ||||
\(577\) | 21.6398 | − | 37.4813i | 0.900879 | − | 1.56037i | 0.0745228 | − | 0.997219i | \(-0.476257\pi\) |
0.826356 | − | 0.563148i | \(-0.190410\pi\) | |||||||
\(578\) | 16.4145 | + | 11.3453i | 0.682754 | + | 0.471901i | ||||
\(579\) | 9.47736 | − | 6.63612i | 0.393865 | − | 0.275788i | ||||
\(580\) | −8.78778 | − | 10.2176i | −0.364893 | − | 0.424261i | ||||
\(581\) | −2.97563 | − | 0.797317i | −0.123450 | − | 0.0330783i | ||||
\(582\) | −10.8224 | + | 9.19392i | −0.448602 | + | 0.381100i | ||||
\(583\) | 24.1035 | − | 28.7255i | 0.998266 | − | 1.18969i | ||||
\(584\) | −15.1563 | − | 10.2051i | −0.627172 | − | 0.422291i | ||||
\(585\) | −4.53334 | − | 12.4553i | −0.187431 | − | 0.514962i | ||||
\(586\) | 1.89404 | + | 5.10686i | 0.0782420 | + | 0.210962i | ||||
\(587\) | 18.8759 | + | 13.2171i | 0.779094 | + | 0.545527i | 0.894116 | − | 0.447836i | \(-0.147805\pi\) |
−0.115022 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(588\) | 9.26427 | − | 0.924325i | 0.382052 | − | 0.0381185i | ||||
\(589\) | −2.37434 | − | 0.869548i | −0.0978331 | − | 0.0358291i | ||||
\(590\) | −6.10265 | − | 12.8818i | −0.251242 | − | 0.530335i | ||||
\(591\) | −0.365261 | − | 2.07150i | −0.0150248 | − | 0.0852101i | ||||
\(592\) | −13.0640 | + | 1.46431i | −0.536928 | + | 0.0601829i | ||||
\(593\) | 9.28758 | − | 3.38040i | 0.381395 | − | 0.138817i | −0.144206 | − | 0.989548i | \(-0.546063\pi\) |
0.525601 | + | 0.850731i | \(0.323840\pi\) | |||||||
\(594\) | −2.43393 | − | 25.9959i | −0.0998652 | − | 1.06662i | ||||
\(595\) | 0.242741 | + | 2.77454i | 0.00995140 | + | 0.113745i | ||||
\(596\) | −29.6531 | − | 13.3903i | −1.21464 | − | 0.548489i | ||||
\(597\) | 1.66686 | + | 0.446635i | 0.0682202 | + | 0.0182796i | ||||
\(598\) | 25.7033 | + | 14.6318i | 1.05108 | + | 0.598340i | ||||
\(599\) | −13.9172 | − | 2.45397i | −0.568640 | − | 0.100267i | −0.118066 | − | 0.993006i | \(-0.537670\pi\) |
−0.450574 | + | 0.892739i | \(0.648781\pi\) | |||||||
\(600\) | 0.803567 | − | 1.45246i | 0.0328055 | − | 0.0592963i | ||||
\(601\) | −33.1581 | − | 19.1438i | −1.35255 | − | 0.780894i | −0.363942 | − | 0.931422i | \(-0.618569\pi\) |
−0.988606 | + | 0.150528i | \(0.951903\pi\) | |||||||
\(602\) | −2.51145 | − | 4.28944i | −0.102359 | − | 0.174824i | ||||
\(603\) | −2.76356 | + | 1.28867i | −0.112541 | + | 0.0524788i | ||||
\(604\) | −19.8330 | − | 6.94631i | −0.806994 | − | 0.282641i | ||||
\(605\) | 21.0498 | + | 1.84162i | 0.855794 | + | 0.0748723i | ||||
\(606\) | −4.52670 | − | 6.38174i | −0.183885 | − | 0.259241i | ||||
\(607\) | −25.8222 | −1.04809 | −0.524045 | − | 0.851690i | \(-0.675578\pi\) | ||||
−0.524045 | + | 0.851690i | \(0.675578\pi\) | |||||||
\(608\) | −24.4927 | + | 2.84700i | −0.993312 | + | 0.115461i | ||||
\(609\) | −1.92433 | −0.0779780 | ||||||||
\(610\) | −11.8575 | − | 16.7167i | −0.480097 | − | 0.676841i | ||||
\(611\) | 21.4980 | + | 1.88083i | 0.869715 | + | 0.0760902i | ||||
\(612\) | 7.90873 | + | 2.76995i | 0.319691 | + | 0.111969i | ||||
\(613\) | −15.5400 | + | 7.24644i | −0.627656 | + | 0.292681i | −0.710301 | − | 0.703898i | \(-0.751441\pi\) |
0.0826446 | + | 0.996579i | \(0.473663\pi\) | |||||||
\(614\) | 18.6233 | + | 31.8077i | 0.751575 | + | 1.28365i | ||||
\(615\) | 12.0908 | + | 6.98063i | 0.487549 | + | 0.281486i | ||||
\(616\) | −9.13500 | − | 5.05391i | −0.368060 | − | 0.203628i | ||||
\(617\) | −36.7129 | − | 6.47348i | −1.47801 | − | 0.260612i | −0.624225 | − | 0.781245i | \(-0.714585\pi\) |
−0.853781 | + | 0.520632i | \(0.825696\pi\) | |||||||
\(618\) | 9.96121 | + | 5.67052i | 0.400699 | + | 0.228102i | ||||
\(619\) | −39.2038 | − | 10.5046i | −1.57573 | − | 0.422216i | −0.638131 | − | 0.769928i | \(-0.720292\pi\) |
−0.937601 | + | 0.347712i | \(0.886959\pi\) | |||||||
\(620\) | 2.16648 | + | 0.978309i | 0.0870081 | + | 0.0392898i | ||||
\(621\) | 2.77688 | + | 31.7398i | 0.111432 | + | 1.27368i | ||||
\(622\) | 0.484583 | + | 5.17565i | 0.0194300 | + | 0.207525i | ||||
\(623\) | −9.60121 | + | 3.49455i | −0.384664 | + | 0.140006i | ||||
\(624\) | 4.79465 | − | 6.00518i | 0.191940 | − | 0.240399i | ||||
\(625\) | 3.53330 | + | 20.0383i | 0.141332 | + | 0.801533i | ||||
\(626\) | −5.35461 | − | 11.3028i | −0.214013 | − | 0.451751i | ||||
\(627\) | 2.58622 | − | 14.4983i | 0.103284 | − | 0.579007i | ||||
\(628\) | 42.4537 | − | 4.23574i | 1.69409 | − | 0.169024i | ||||
\(629\) | 4.57704 | + | 3.20488i | 0.182499 | + | 0.127787i | ||||
\(630\) | −1.98531 | − | 5.35296i | −0.0790967 | − | 0.213267i | ||||
\(631\) | −0.528899 | − | 1.45314i | −0.0210552 | − | 0.0578486i | 0.928720 | − | 0.370782i | \(-0.120910\pi\) |
−0.949775 | + | 0.312934i | \(0.898688\pi\) | |||||||
\(632\) | −26.1184 | + | 38.7901i | −1.03893 | + | 1.54299i | ||||
\(633\) | −3.64265 | + | 4.34115i | −0.144783 | + | 0.172545i | ||||
\(634\) | 4.34193 | − | 3.68860i | 0.172440 | − | 0.146493i | ||||
\(635\) | 4.67200 | + | 1.25186i | 0.185403 | + | 0.0496785i | ||||
\(636\) | 7.75244 | + | 9.01377i | 0.307404 | + | 0.357419i | ||||
\(637\) | 13.6774 | − | 9.57704i | 0.541920 | − | 0.379456i | ||||
\(638\) | −17.6632 | − | 12.2083i | −0.699292 | − | 0.483331i | ||||
\(639\) | 9.07483 | − | 15.7181i | 0.358995 | − | 0.621797i | ||||
\(640\) | 23.1599 | − | 0.987702i | 0.915475 | − | 0.0390424i | ||||
\(641\) | 4.81619 | + | 1.75295i | 0.190228 | + | 0.0692374i | 0.435378 | − | 0.900248i | \(-0.356615\pi\) |
−0.245149 | + | 0.969485i | \(0.578837\pi\) | |||||||
\(642\) | −10.1626 | + | 10.2872i | −0.401087 | + | 0.406002i | ||||
\(643\) | −28.2433 | − | 2.47097i | −1.11381 | − | 0.0974455i | −0.484639 | − | 0.874714i | \(-0.661049\pi\) |
−0.629169 | + | 0.777269i | \(0.716605\pi\) | |||||||
\(644\) | 11.1095 | + | 6.23496i | 0.437777 | + | 0.245692i | ||||
\(645\) | −4.66120 | + | 4.66120i | −0.183535 | + | 0.183535i | ||||
\(646\) | 8.60972 | + | 5.97616i | 0.338745 | + | 0.235129i | ||||
\(647\) | − | 46.1598i | − | 1.81473i | −0.420346 | − | 0.907364i | \(-0.638091\pi\) | ||
0.420346 | − | 0.907364i | \(-0.361909\pi\) | |||||||
\(648\) | −12.6029 | − | 0.870985i | −0.495089 | − | 0.0342155i | ||||
\(649\) | −14.5979 | − | 17.3971i | −0.573018 | − | 0.682896i | ||||
\(650\) | −0.0181256 | − | 2.97686i | −0.000710944 | − | 0.116762i | ||||
\(651\) | 0.307626 | − | 0.143448i | 0.0120568 | − | 0.00562219i | ||||
\(652\) | −1.09622 | − | 0.747853i | −0.0429312 | − | 0.0292882i | ||||
\(653\) | −31.0928 | + | 8.33128i | −1.21675 | + | 0.326028i | −0.809409 | − | 0.587246i | \(-0.800212\pi\) |
−0.407345 | + | 0.913274i | \(0.633545\pi\) | |||||||
\(654\) | 2.05829 | − | 2.97797i | 0.0804855 | − | 0.116448i | ||||
\(655\) | 0.841552 | − | 4.77268i | 0.0328822 | − | 0.186484i | ||||
\(656\) | −0.906946 | − | 37.2312i | −0.0354103 | − | 1.45364i | ||||
\(657\) | −7.96005 | − | 13.7872i | −0.310551 | − | 0.537891i | ||||
\(658\) | 9.26475 | + | 0.753748i | 0.361178 | + | 0.0293842i | ||||
\(659\) | −2.40145 | − | 27.4487i | −0.0935471 | − | 1.06925i | −0.887357 | − | 0.461082i | \(-0.847461\pi\) |
0.793810 | − | 0.608166i | \(-0.208094\pi\) | |||||||
\(660\) | −3.42028 | + | 13.4161i | −0.133134 | + | 0.522220i | ||||
\(661\) | −19.3934 | + | 41.5893i | −0.754317 | + | 1.61764i | 0.0317502 | + | 0.999496i | \(0.489892\pi\) |
−0.786067 | + | 0.618141i | \(0.787886\pi\) | |||||||
\(662\) | 2.89226 | + | 7.79836i | 0.112411 | + | 0.303092i | ||||
\(663\) | −3.21660 | + | 0.567173i | −0.124922 | + | 0.0220272i | ||||
\(664\) | 9.33694 | − | 5.62054i | 0.362344 | − | 0.218119i | ||||
\(665\) | −0.608176 | − | 7.11460i | −0.0235841 | − | 0.275892i | ||||
\(666\) | −10.7868 | − | 3.85186i | −0.417980 | − | 0.149257i | ||||
\(667\) | 21.4630 | + | 15.0285i | 0.831050 | + | 0.581908i | ||||
\(668\) | −11.3781 | + | 0.138564i | −0.440232 | + | 0.00536119i | ||||
\(669\) | 4.92588 | + | 2.29697i | 0.190445 | + | 0.0888061i | ||||
\(670\) | 3.56968 | − | 0.334220i | 0.137909 | − | 0.0129120i | ||||
\(671\) | −25.0140 | − | 20.9893i | −0.965656 | − | 0.810282i | ||||
\(672\) | 2.04945 | − | 2.59918i | 0.0790592 | − | 0.100266i | ||||
\(673\) | 14.5442 | + | 25.1913i | 0.560637 | + | 0.971052i | 0.997441 | + | 0.0714955i | \(0.0227771\pi\) |
−0.436804 | + | 0.899557i | \(0.643890\pi\) | |||||||
\(674\) | −3.40635 | − | 12.4099i | −0.131208 | − | 0.478013i | ||||
\(675\) | 2.62694 | − | 1.83940i | 0.101111 | − | 0.0707986i | ||||
\(676\) | −1.97506 | + | 12.0580i | −0.0759640 | + | 0.463769i | ||||
\(677\) | 2.27355 | + | 8.48499i | 0.0873795 | + | 0.326105i | 0.995754 | − | 0.0920526i | \(-0.0293428\pi\) |
−0.908375 | + | 0.418157i | \(0.862676\pi\) | |||||||
\(678\) | −9.08692 | − | 15.5200i | −0.348981 | − | 0.596042i | ||||
\(679\) | −3.75183 | + | 10.3081i | −0.143982 | + | 0.395588i | ||||
\(680\) | −7.66217 | − | 6.19439i | −0.293831 | − | 0.237544i | ||||
\(681\) | −6.30904 | − | 7.51882i | −0.241763 | − | 0.288122i | ||||
\(682\) | 3.73372 | + | 0.634939i | 0.142971 | + | 0.0243131i | ||||
\(683\) | 4.21762 | − | 4.21762i | 0.161383 | − | 0.161383i | −0.621796 | − | 0.783179i | \(-0.713597\pi\) |
0.783179 | + | 0.621796i | \(0.213597\pi\) | |||||||
\(684\) | −20.2622 | − | 7.14196i | −0.774746 | − | 0.273080i | ||||
\(685\) | 22.2718 | + | 22.2718i | 0.850961 | + | 0.850961i | ||||
\(686\) | 12.3218 | − | 8.74014i | 0.470450 | − | 0.333700i | ||||
\(687\) | −6.12774 | + | 5.14178i | −0.233788 | + | 0.196171i | ||||
\(688\) | 17.0909 | + | 4.13616i | 0.651583 | + | 0.157690i | ||||
\(689\) | 20.0359 | + | 7.29248i | 0.763308 | + | 0.277821i | ||||
\(690\) | 4.27332 | − | 16.3457i | 0.162682 | − | 0.622270i | ||||
\(691\) | 18.5746 | − | 4.97705i | 0.706611 | − | 0.189336i | 0.112421 | − | 0.993661i | \(-0.464139\pi\) |
0.594190 | + | 0.804325i | \(0.297473\pi\) | |||||||
\(692\) | −23.9375 | − | 33.3154i | −0.909967 | − | 1.26646i | ||||
\(693\) | −5.21735 | − | 7.45115i | −0.198191 | − | 0.283046i | ||||
\(694\) | 34.9157 | + | 19.8761i | 1.32538 | + | 0.754488i | ||||
\(695\) | −4.56694 | + | 2.63672i | −0.173234 | + | 0.100017i | ||||
\(696\) | 4.72501 | − | 4.90086i | 0.179101 | − | 0.185766i | ||||
\(697\) | −10.1750 | + | 12.1261i | −0.385407 | + | 0.459310i | ||||
\(698\) | 30.5706 | + | 25.3362i | 1.15712 | + | 0.958990i | ||||
\(699\) | 4.66844 | − | 10.0115i | 0.176577 | − | 0.378670i | ||||
\(700\) | −0.0156145 | − | 1.28217i | −0.000590171 | − | 0.0484617i | ||||
\(701\) | −4.30574 | + | 6.14923i | −0.162625 | + | 0.232253i | −0.892192 | − | 0.451657i | \(-0.850833\pi\) |
0.729566 | + | 0.683910i | \(0.239722\pi\) | |||||||
\(702\) | 13.4166 | − | 6.35601i | 0.506377 | − | 0.239892i | ||||
\(703\) | −11.7183 | − | 8.24003i | −0.441962 | − | 0.310779i | ||||
\(704\) | 35.3012 | − | 10.8555i | 1.33047 | − | 0.409131i | ||||
\(705\) | −2.14063 | − | 12.1401i | −0.0806209 | − | 0.457224i | ||||
\(706\) | −2.44206 | + | 5.32136i | −0.0919080 | + | 0.200272i | ||||
\(707\) | −5.47779 | − | 2.55433i | −0.206013 | − | 0.0960656i | ||||
\(708\) | 6.19140 | − | 3.67585i | 0.232687 | − | 0.138147i | ||||
\(709\) | 33.7444 | − | 2.95225i | 1.26730 | − | 0.110874i | 0.566397 | − | 0.824133i | \(-0.308337\pi\) |
0.700901 | + | 0.713258i | \(0.252781\pi\) | |||||||
\(710\) | −16.2638 | + | 13.8165i | −0.610368 | + | 0.518525i | ||||
\(711\) | −35.2862 | + | 20.3725i | −1.32333 | + | 0.764027i | ||||
\(712\) | 14.6749 | − | 33.0327i | 0.549966 | − | 1.23795i | ||||
\(713\) | −4.55139 | − | 0.802533i | −0.170451 | − | 0.0300551i | ||||
\(714\) | −1.38400 | + | 0.252734i | −0.0517948 | + | 0.00945834i | ||||
\(715\) | 6.42648 | + | 23.9840i | 0.240337 | + | 0.896949i | ||||
\(716\) | −37.2059 | − | 25.3823i | −1.39045 | − | 0.948582i | ||||
\(717\) | 1.96050 | + | 4.20431i | 0.0732163 | + | 0.157013i | ||||
\(718\) | −17.9508 | − | 17.7335i | −0.669918 | − | 0.661810i | ||||
\(719\) | 3.64869 | − | 3.06161i | 0.136073 | − | 0.114179i | −0.572211 | − | 0.820107i | \(-0.693914\pi\) |
0.708284 | + | 0.705928i | \(0.249470\pi\) | |||||||
\(720\) | 18.5075 | + | 8.08750i | 0.689736 | + | 0.301403i | ||||
\(721\) | 8.85434 | 0.329753 | ||||||||
\(722\) | −22.0431 | − | 15.3656i | −0.820359 | − | 0.571849i | ||||
\(723\) | 2.72378 | + | 2.72378i | 0.101298 | + | 0.101298i | ||||
\(724\) | 21.2330 | − | 5.96742i | 0.789119 | − | 0.221778i | ||||
\(725\) | 0.229851 | − | 2.62721i | 0.00853646 | − | 0.0975722i | ||||
\(726\) | 0.0649889 | + | 10.6735i | 0.00241197 | + | 0.396130i | ||||
\(727\) | −6.63057 | + | 18.2173i | −0.245914 | + | 0.675644i | 0.753912 | + | 0.656976i | \(0.228165\pi\) |
−0.999826 | + | 0.0186678i | \(0.994058\pi\) | |||||||
\(728\) | 0.923850 | − | 5.86381i | 0.0342401 | − | 0.217327i | ||||
\(729\) | −1.92843 | − | 1.11338i | −0.0714232 | − | 0.0412362i | ||||
\(730\) | 3.36266 | + | 18.4142i | 0.124458 | + | 0.681542i | ||||
\(731\) | −4.28694 | − | 6.12238i | −0.158558 | − | 0.226444i | ||||
\(732\) | 7.84916 | − | 6.75080i | 0.290113 | − | 0.249517i | ||||
\(733\) | −1.66176 | + | 6.20179i | −0.0613787 | + | 0.229068i | −0.989801 | − | 0.142459i | \(-0.954499\pi\) |
0.928422 | + | 0.371527i | \(0.121166\pi\) | |||||||
\(734\) | 1.13228 | − | 13.9175i | 0.0417932 | − | 0.513705i | ||||
\(735\) | −7.30655 | − | 6.13092i | −0.269506 | − | 0.226143i | ||||
\(736\) | −43.1574 | + | 12.9842i | −1.59080 | + | 0.478605i | ||||
\(737\) | 5.36772 | − | 1.95369i | 0.197722 | − | 0.0719651i | ||||
\(738\) | 13.5342 | − | 29.4917i | 0.498202 | − | 1.08561i | ||||
\(739\) | 27.7867 | − | 39.6835i | 1.02215 | − | 1.45978i | 0.139228 | − | 0.990260i | \(-0.455538\pi\) |
0.882922 | − | 0.469520i | \(-0.155573\pi\) | |||||||
\(740\) | 10.4213 | + | 8.53043i | 0.383094 | + | 0.313585i | ||||
\(741\) | 8.24960 | − | 1.43770i | 0.303057 | − | 0.0528151i | ||||
\(742\) | 8.64919 | + | 3.08854i | 0.317522 | + | 0.113384i | ||||
\(743\) | 25.2224 | − | 4.44739i | 0.925320 | − | 0.163159i | 0.309368 | − | 0.950942i | \(-0.399883\pi\) |
0.615952 | + | 0.787783i | \(0.288771\pi\) | |||||||
\(744\) | −0.390013 | + | 1.13568i | −0.0142986 | + | 0.0416360i | ||||
\(745\) | 11.4003 | + | 31.3220i | 0.417674 | + | 1.14755i | ||||
\(746\) | 13.1004 | − | 15.8069i | 0.479640 | − | 0.578732i | ||||
\(747\) | 9.45934 | − | 0.827585i | 0.346099 | − | 0.0302798i | ||||
\(748\) | −14.3069 | − | 6.46049i | −0.523112 | − | 0.236219i | ||||
\(749\) | −2.89114 | + | 10.7899i | −0.105640 | + | 0.394254i | ||||
\(750\) | −11.8648 | + | 3.25672i | −0.433242 | + | 0.118919i | ||||
\(751\) | −4.15489 | + | 23.5636i | −0.151614 | + | 0.859847i | 0.810202 | + | 0.586151i | \(0.199357\pi\) |
−0.961816 | + | 0.273696i | \(0.911754\pi\) | |||||||
\(752\) | −24.6683 | + | 21.7445i | −0.899560 | + | 0.792942i | ||||
\(753\) | 5.04060 | − | 8.73058i | 0.183690 | − | 0.318160i | ||||
\(754\) | 3.08802 | − | 11.8119i | 0.112459 | − | 0.430163i | ||||
\(755\) | 9.09827 | + | 19.5113i | 0.331120 | + | 0.710089i | ||||
\(756\) | 5.76226 | − | 2.77291i | 0.209572 | − | 0.100850i | ||||
\(757\) | 0.00884889 | − | 0.101143i | 0.000321618 | − | 0.00367611i | −0.996032 | − | 0.0889937i | \(-0.971635\pi\) |
0.996354 | + | 0.0853175i | \(0.0271905\pi\) | |||||||
\(758\) | −23.9691 | − | 4.07608i | −0.870597 | − | 0.148050i | ||||
\(759\) | − | 26.9177i | − | 0.977052i | ||||||
\(760\) | 19.6126 | + | 15.9203i | 0.711425 | + | 0.577490i | ||||
\(761\) | 24.2575i | 0.879335i | 0.898161 | + | 0.439667i | \(0.144904\pi\) | ||||
−0.898161 | + | 0.439667i | \(0.855096\pi\) | |||||||
\(762\) | −0.409610 | + | 2.40868i | −0.0148386 | + | 0.0872573i | ||||
\(763\) | 0.243727 | − | 2.78581i | 0.00882351 | − | 0.100853i | ||||
\(764\) | −8.28493 | + | 23.6550i | −0.299738 | + | 0.855809i | ||||
\(765\) | −3.62808 | − | 7.78044i | −0.131174 | − | 0.281303i | ||||
\(766\) | 30.0256 | + | 7.84971i | 1.08487 | + | 0.283622i | ||||
\(767\) | 6.45659 | − | 11.1831i | 0.233134 | − | 0.403800i | ||||
\(768\) | 1.58733 | + | 11.6015i | 0.0572778 | + | 0.418634i | ||||
\(769\) | −3.68065 | + | 20.8740i | −0.132728 | + | 0.752736i | 0.843687 | + | 0.536835i | \(0.180380\pi\) |
−0.976415 | + | 0.215902i | \(0.930731\pi\) | |||||||
\(770\) | 2.83098 | + | 10.3137i | 0.102021 | + | 0.371682i | ||||
\(771\) | 2.17881 | − | 8.13143i | 0.0784680 | − | 0.292846i | ||||
\(772\) | 11.1749 | + | 29.5770i | 0.402193 | + | 1.06450i | ||||
\(773\) | −4.07422 | + | 0.356448i | −0.146539 | + | 0.0128205i | −0.160189 | − | 0.987086i | \(-0.551210\pi\) |
0.0136500 | + | 0.999907i | \(0.495655\pi\) | |||||||
\(774\) | 11.7964 | + | 9.77655i | 0.424012 | + | 0.351411i | ||||
\(775\) | 0.159100 | + | 0.437123i | 0.00571503 | + | 0.0157019i | ||||
\(776\) | −17.0402 | − | 34.8655i | −0.611706 | − | 1.25160i | ||||
\(777\) | 1.89378 | − | 0.333925i | 0.0679392 | − | 0.0119795i | ||||
\(778\) | −15.0957 | + | 42.2742i | −0.541207 | + | 1.51560i | ||||
\(779\) | 26.1486 | − | 31.0370i | 0.936872 | − | 1.11202i | ||||
\(780\) | −7.83354 | + | 0.781577i | −0.280486 | + | 0.0279849i | ||||
\(781\) | −19.5016 | + | 27.8511i | −0.697821 | + | 0.996592i | ||||
\(782\) | 17.4101 | + | 7.98979i | 0.622585 | + | 0.285714i | ||||
\(783\) | 12.3589 | − | 4.49827i | 0.441671 | − | 0.160755i | ||||
\(784\) | −3.80664 | + | 25.1567i | −0.135952 | + | 0.898454i | ||||
\(785\) | −33.4824 | − | 28.0951i | −1.19504 | − | 1.00276i | ||||
\(786\) | 2.44000 | + | 0.198510i | 0.0870319 | + | 0.00708061i | ||||
\(787\) | 1.19518 | − | 4.46046i | 0.0426034 | − | 0.158998i | −0.941347 | − | 0.337440i | \(-0.890439\pi\) |
0.983950 | + | 0.178442i | \(0.0571057\pi\) | |||||||
\(788\) | 5.73212 | + | 0.431230i | 0.204198 | + | 0.0153619i | ||||
\(789\) | −12.1453 | − | 17.3453i | −0.432385 | − | 0.617510i | ||||
\(790\) | 47.1283 | − | 8.60618i | 1.67675 | − | 0.306194i | ||||
\(791\) | −12.0315 | − | 6.94639i | −0.427791 | − | 0.246985i | ||||
\(792\) | 31.7871 | + | 5.00810i | 1.12951 | + | 0.177955i | ||||
\(793\) | 6.35026 | − | 17.4472i | 0.225504 | − | 0.619568i | ||||
\(794\) | −10.7630 | + | 0.0655341i | −0.381965 | + | 0.00232572i | ||||
\(795\) | 1.06154 | − | 12.1335i | 0.0376491 | − | 0.430331i | ||||
\(796\) | −2.30804 | + | 4.11249i | −0.0818063 | + | 0.145763i | ||||
\(797\) | −16.6281 | − | 16.6281i | −0.588998 | − | 0.588998i | 0.348362 | − | 0.937360i | \(-0.386738\pi\) |
−0.937360 | + | 0.348362i | \(0.886738\pi\) | |||||||
\(798\) | 3.54958 | − | 0.640895i | 0.125654 | − | 0.0226874i | ||||
\(799\) | 13.9770 | 0.494472 | ||||||||
\(800\) | 3.30376 | + | 3.10848i | 0.116805 | + | 0.109901i | ||||
\(801\) | 24.1255 | − | 20.2437i | 0.852432 | − | 0.715275i | ||||
\(802\) | −5.73543 | + | 5.80571i | −0.202525 | + | 0.205007i | ||||
\(803\) | 12.6039 | + | 27.0291i | 0.444781 | + | 0.953837i | ||||
\(804\) | 0.336185 | + | 1.77960i | 0.0118563 | + | 0.0627616i | ||||
\(805\) | −3.37790 | − | 12.6065i | −0.119055 | − | 0.444321i | ||||
\(806\) | 0.386855 | + | 2.11845i | 0.0136264 | + | 0.0746193i | ||||
\(807\) | 10.9298 | + | 1.92722i | 0.384747 | + | 0.0678413i | ||||
\(808\) | 19.9555 | − | 7.67881i | 0.702031 | − | 0.270139i | ||||
\(809\) | 44.5010 | − | 25.6926i | 1.56457 | − | 0.903305i | 0.567786 | − | 0.823176i | \(-0.307800\pi\) |
0.996784 | − | 0.0801293i | \(-0.0255333\pi\) | |||||||
\(810\) | 8.37917 | + | 9.86331i | 0.294414 | + | 0.346561i | ||||
\(811\) | −17.0910 | + | 1.49526i | −0.600145 | + | 0.0525059i | −0.383180 | − | 0.923674i | \(-0.625171\pi\) |
−0.216965 | + | 0.976179i | \(0.569616\pi\) | |||||||
\(812\) | 1.29913 | − | 5.09582i | 0.0455904 | − | 0.178828i | ||||
\(813\) | −5.38672 | − | 2.51187i | −0.188920 | − | 0.0880950i | ||||
\(814\) | 19.5013 | + | 8.94943i | 0.683519 | + | 0.313678i | ||||
\(815\) | 0.236072 | + | 1.33883i | 0.00826922 | + | 0.0468971i | ||||
\(816\) | 2.75460 | − | 4.14530i | 0.0964304 | − | 0.145114i | ||||
\(817\) | 10.9596 | + | 15.7184i | 0.383428 | + | 0.549918i | ||||
\(818\) | 17.3133 | + | 36.5458i | 0.605344 | + | 1.27779i | ||||
\(819\) | 2.96661 | − | 4.23676i | 0.103662 | − | 0.148044i | ||||
\(820\) | −26.6480 | + | 27.3050i | −0.930587 | + | 0.953532i | ||||
\(821\) | −17.5712 | + | 37.6815i | −0.613239 | + | 1.31510i | 0.317099 | + | 0.948392i | \(0.397291\pi\) |
−0.930338 | + | 0.366703i | \(0.880487\pi\) | |||||||
\(822\) | −10.1526 | + | 12.2501i | −0.354113 | + | 0.427272i | ||||
\(823\) | −16.9611 | + | 20.2134i | −0.591226 | + | 0.704596i | −0.975841 | − | 0.218481i | \(-0.929890\pi\) |
0.384615 | + | 0.923077i | \(0.374334\pi\) | |||||||
\(824\) | −21.7409 | + | 22.5501i | −0.757381 | + | 0.785568i | ||||
\(825\) | −2.34636 | + | 1.35467i | −0.0816897 | + | 0.0471636i | ||||
\(826\) | 2.75171 | − | 4.83384i | 0.0957444 | − | 0.168191i | ||||
\(827\) | −4.06250 | − | 5.80185i | −0.141267 | − | 0.201750i | 0.742284 | − | 0.670086i | \(-0.233743\pi\) |
−0.883551 | + | 0.468336i | \(0.844854\pi\) | |||||||
\(828\) | −38.7514 | − | 6.34736i | −1.34670 | − | 0.220586i | ||||
\(829\) | 9.89456 | − | 2.65124i | 0.343652 | − | 0.0920813i | −0.0828650 | − | 0.996561i | \(-0.526407\pi\) |
0.426517 | + | 0.904479i | \(0.359740\pi\) | |||||||
\(830\) | −10.8017 | − | 2.82393i | −0.374932 | − | 0.0980199i | ||||
\(831\) | 0.639824 | + | 0.232877i | 0.0221953 | + | 0.00807841i | ||||
\(832\) | 12.6654 | + | 16.7508i | 0.439094 | + | 0.580730i | ||||
\(833\) | 8.28430 | − | 6.95135i | 0.287034 | − | 0.240850i | ||||
\(834\) | −1.54116 | − | 2.17273i | −0.0533662 | − | 0.0752356i | ||||
\(835\) | 8.24297 | + | 8.24297i | 0.285260 | + | 0.285260i | ||||
\(836\) | 36.6470 | + | 16.6364i | 1.26746 | + | 0.575383i | ||||
\(837\) | −1.64039 | + | 1.64039i | −0.0567000 | + | 0.0567000i | ||||
\(838\) | 8.74988 | − | 51.4531i | 0.302260 | − | 1.77742i | ||||
\(839\) | −5.32163 | − | 6.34207i | −0.183723 | − | 0.218952i | 0.666320 | − | 0.745666i | \(-0.267869\pi\) |
−0.850043 | + | 0.526713i | \(0.823424\pi\) | |||||||
\(840\) | −3.37209 | + | 0.357193i | −0.116348 | + | 0.0123243i | ||||
\(841\) | −6.21936 | + | 17.0875i | −0.214461 | + | 0.589226i | ||||
\(842\) | 18.7941 | − | 11.0039i | 0.647688 | − | 0.379219i | ||||
\(843\) | 4.01494 | + | 14.9839i | 0.138282 | + | 0.516075i | ||||
\(844\) | −9.03661 | − | 12.5768i | −0.311053 | − | 0.432912i | ||||
\(845\) | 10.2538 | − | 7.17979i | 0.352742 | − | 0.246992i | ||||
\(846\) | −27.6296 | + | 7.58394i | −0.949926 | + | 0.260741i | ||||
\(847\) | 4.12264 | + | 7.14061i | 0.141655 | + | 0.245354i | ||||
\(848\) | −29.1030 | + | 14.4440i | −0.999403 | + | 0.496009i | ||||
\(849\) | −7.66638 | − | 6.43285i | −0.263109 | − | 0.220775i | ||||
\(850\) | −0.179736 | − | 1.91970i | −0.00616490 | − | 0.0658451i | ||||
\(851\) | −23.7301 | − | 11.0655i | −0.813458 | − | 0.379322i | ||||
\(852\) | −7.71472 | − | 7.52908i | −0.264302 | − | 0.257942i | ||||
\(853\) | 7.39806 | + | 5.18018i | 0.253305 | + | 0.177366i | 0.693331 | − | 0.720619i | \(-0.256142\pi\) |
−0.440027 | + | 0.897985i | \(0.645031\pi\) | |||||||
\(854\) | 2.68949 | − | 7.53168i | 0.0920324 | − | 0.257729i | ||||
\(855\) | 9.26195 | + | 19.9660i | 0.316752 | + | 0.682823i | ||||
\(856\) | −20.3806 | − | 33.8566i | −0.696593 | − | 1.15719i | ||||
\(857\) | −29.2086 | + | 5.15027i | −0.997747 | + | 0.175930i | −0.648593 | − | 0.761136i | \(-0.724642\pi\) |
−0.349154 | + | 0.937065i | \(0.613531\pi\) | |||||||
\(858\) | −11.7599 | + | 4.36151i | −0.401475 | + | 0.148900i | ||||
\(859\) | 20.3072 | − | 43.5489i | 0.692872 | − | 1.48587i | −0.172643 | − | 0.984985i | \(-0.555231\pi\) |
0.865514 | − | 0.500884i | \(-0.166992\pi\) | |||||||
\(860\) | −9.19651 | − | 15.4901i | −0.313599 | − | 0.528208i | ||||
\(861\) | 0.474813 | + | 5.42714i | 0.0161816 | + | 0.184957i | ||||
\(862\) | −0.975197 | + | 11.9867i | −0.0332153 | + | 0.408269i | ||||
\(863\) | 14.8060 | + | 25.6448i | 0.504003 | + | 0.872958i | 0.999989 | + | 0.00462795i | \(0.00147313\pi\) |
−0.495987 | + | 0.868330i | \(0.665194\pi\) | |||||||
\(864\) | −7.08667 | + | 21.4838i | −0.241093 | + | 0.730894i | ||||
\(865\) | −7.29790 | + | 41.3884i | −0.248136 | + | 1.40725i | ||||
\(866\) | 15.3110 | + | 10.5825i | 0.520288 | + | 0.359608i | ||||
\(867\) | 9.97414 | − | 2.67256i | 0.338740 | − | 0.0907650i | ||||
\(868\) | 0.172186 | + | 0.911466i | 0.00584437 | + | 0.0309372i | ||||
\(869\) | 69.1766 | − | 32.2576i | 2.34666 | − | 1.09426i | ||||
\(870\) | −6.97405 | + | 0.0424638i | −0.236443 | + | 0.00143966i | ||||
\(871\) | 2.08776 | + | 2.48810i | 0.0707412 | + | 0.0843061i | ||||
\(872\) | 6.49640 | + | 7.46099i | 0.219996 | + | 0.252661i | ||||
\(873\) | − | 33.8122i | − | 1.14437i | ||||||
\(874\) | −44.5953 | − | 20.5731i | −1.50846 | − | 0.695894i | ||||
\(875\) | −6.72063 | + | 6.72063i | −0.227199 | + | 0.227199i | ||||
\(876\) | −9.10291 | + | 2.55832i | −0.307559 | + | 0.0864377i | ||||
\(877\) | −20.5236 | − | 1.79558i | −0.693033 | − | 0.0606325i | −0.264803 | − | 0.964302i | \(-0.585307\pi\) |
−0.428230 | + | 0.903670i | \(0.640863\pi\) | |||||||
\(878\) | 24.9351 | + | 24.6333i | 0.841520 | + | 0.831334i | ||||
\(879\) | 2.64870 | + | 0.964049i | 0.0893385 | + | 0.0325166i | ||||
\(880\) | −33.2180 | − | 18.1145i | −1.11978 | − | 0.610639i | ||||
\(881\) | 9.68795 | − | 16.7800i | 0.326395 | − | 0.565333i | −0.655398 | − | 0.755283i | \(-0.727499\pi\) |
0.981794 | + | 0.189950i | \(0.0608326\pi\) | |||||||
\(882\) | −12.6045 | + | 18.2364i | −0.424415 | + | 0.614052i | ||||
\(883\) | −19.1290 | + | 13.3943i | −0.643741 | + | 0.450752i | −0.849313 | − | 0.527890i | \(-0.822983\pi\) |
0.205572 | + | 0.978642i | \(0.434095\pi\) | |||||||
\(884\) | 0.669608 | − | 8.90076i | 0.0225213 | − | 0.299365i | ||||
\(885\) | −7.12517 | − | 1.90918i | −0.239510 | − | 0.0641765i | ||||
\(886\) | −22.6842 | − | 26.7021i | −0.762091 | − | 0.897075i | ||||
\(887\) | 16.3138 | − | 19.4421i | 0.547765 | − | 0.652800i | −0.419145 | − | 0.907919i | \(-0.637670\pi\) |
0.966910 | + | 0.255119i | \(0.0821146\pi\) | |||||||
\(888\) | −3.79956 | + | 5.64297i | −0.127505 | + | 0.189366i | ||||
\(889\) | 0.645524 | + | 1.77356i | 0.0216502 | + | 0.0594834i | ||||
\(890\) | −34.7190 | + | 12.8766i | −1.16378 | + | 0.431625i | ||||
\(891\) | 16.8906 | + | 11.8269i | 0.565856 | + | 0.396217i | ||||
\(892\) | −9.40809 | + | 11.4935i | −0.315006 | + | 0.384831i | ||||
\(893\) | −35.8343 | − | 0.0713440i | −1.19915 | − | 0.00238744i | ||||
\(894\) | −15.2163 | + | 7.20858i | −0.508908 | + | 0.241091i | ||||
\(895\) | 8.01233 | + | 45.4402i | 0.267823 | + | 1.51890i | ||||
\(896\) | 5.49930 | + | 7.18186i | 0.183719 | + | 0.239929i | ||||
\(897\) | 14.3825 | − | 5.23481i | 0.480218 | − | 0.174785i | ||||
\(898\) | −37.5820 | + | 3.51871i | −1.25413 | + | 0.117421i | ||||
\(899\) | 0.166273 | + | 1.90051i | 0.00554552 | + | 0.0633856i | ||||
\(900\) | 1.39693 | + | 3.69731i | 0.0465643 | + | 0.123244i | ||||
\(901\) | 13.3392 | + | 3.57422i | 0.444392 | + | 0.119075i | ||||
\(902\) | −30.0725 | + | 52.8272i | −1.00130 | + | 1.75895i | ||||
\(903\) | −2.53318 | − | 0.446668i | −0.0842990 | − | 0.0148642i | ||||
\(904\) | 47.2331 | − | 13.5854i | 1.57095 | − | 0.451845i | ||||
\(905\) | −19.5680 | − | 11.2976i | −0.650463 | − | 0.375545i | ||||
\(906\) | −9.38458 | + | 5.49465i | −0.311782 | + | 0.182547i | ||||
\(907\) | −40.0484 | + | 18.6749i | −1.32979 | + | 0.620089i | −0.952084 | − | 0.305838i | \(-0.901063\pi\) |
−0.377702 | + | 0.925927i | \(0.623286\pi\) | |||||||
\(908\) | 24.1698 | − | 11.6310i | 0.802104 | − | 0.385987i | ||||
\(909\) | 18.5590 | + | 1.62371i | 0.615564 | + | 0.0538549i | ||||
\(910\) | −4.96022 | + | 3.51839i | −0.164430 | + | 0.116633i | ||||
\(911\) | 58.1693 | 1.92724 | 0.963618 | − | 0.267283i | \(-0.0861260\pi\) | ||||
0.963618 | + | 0.267283i | \(0.0861260\pi\) | |||||||
\(912\) | −7.08341 | + | 10.6136i | −0.234555 | + | 0.351453i | ||||
\(913\) | −17.7880 | −0.588696 | ||||||||
\(914\) | 38.8637 | − | 27.5668i | 1.28550 | − | 0.911829i | ||||
\(915\) | −10.5658 | − | 0.924388i | −0.349295 | − | 0.0305593i | ||||
\(916\) | −9.47908 | − | 19.6981i | −0.313198 | − | 0.650843i | ||||
\(917\) | 1.71391 | − | 0.799211i | 0.0565984 | − | 0.0263923i | ||||
\(918\) | 8.29783 | − | 4.85836i | 0.273869 | − | 0.160350i | ||||
\(919\) | −18.9377 | − | 10.9337i | −0.624698 | − | 0.360670i | 0.153998 | − | 0.988071i | \(-0.450785\pi\) |
−0.778696 | + | 0.627402i | \(0.784118\pi\) | |||||||
\(920\) | 40.4001 | + | 22.3512i | 1.33195 | + | 0.736897i | ||||
\(921\) | 18.7844 | + | 3.31220i | 0.618967 | + | 0.109141i | ||||
\(922\) | −26.5905 | + | 46.7107i | −0.875712 | + | 1.53833i | ||||
\(923\) | −18.6738 | − | 5.00362i | −0.614655 | − | 0.164696i | ||||
\(924\) | −5.05389 | + | 1.90947i | −0.166261 | + | 0.0628171i | ||||
\(925\) | 0.229692 | + | 2.62539i | 0.00755222 | + | 0.0863222i | ||||
\(926\) | −45.8036 | + | 4.28847i | −1.50520 | + | 0.140928i | ||||
\(927\) | −25.6463 | + | 9.33447i | −0.842334 | + | 0.306584i | ||||
\(928\) | 9.78807 | + | 15.8209i | 0.321309 | + | 0.519345i | ||||
\(929\) | 0.672356 | + | 3.81312i | 0.0220593 | + | 0.125104i | 0.993849 | − | 0.110745i | \(-0.0353238\pi\) |
−0.971790 | + | 0.235850i | \(0.924213\pi\) | |||||||
\(930\) | 1.11171 | − | 0.526665i | 0.0364545 | − | 0.0172700i | ||||
\(931\) | −21.2748 | + | 17.7796i | −0.697252 | + | 0.582702i | ||||
\(932\) | 23.3597 | + | 19.1213i | 0.765174 | + | 0.626338i | ||||
\(933\) | 2.20360 | + | 1.54298i | 0.0721426 | + | 0.0505148i | ||||
\(934\) | 9.80725 | − | 3.63732i | 0.320903 | − | 0.119017i | ||||
\(935\) | 5.50035 | + | 15.1121i | 0.179881 | + | 0.494218i | ||||
\(936\) | 3.50588 | + | 17.9582i | 0.114593 | + | 0.586983i | ||||
\(937\) | 32.7360 | − | 39.0133i | 1.06944 | − | 1.27451i | 0.109594 | − | 0.993976i | \(-0.465045\pi\) |
0.959845 | − | 0.280532i | \(-0.0905108\pi\) | |||||||
\(938\) | 0.905788 | + | 1.06622i | 0.0295750 | + | 0.0348134i | ||||
\(939\) | −6.25180 | − | 1.67516i | −0.204020 | − | 0.0546669i | ||||
\(940\) | 33.5934 | + | 2.52724i | 1.09570 | + | 0.0824296i | ||||
\(941\) | 36.7753 | − | 25.7504i | 1.19884 | − | 0.839438i | 0.208491 | − | 0.978024i | \(-0.433145\pi\) |
0.990350 | + | 0.138587i | \(0.0442559\pi\) | |||||||
\(942\) | 12.5535 | − | 18.1626i | 0.409015 | − | 0.591770i | ||||
\(943\) | 37.0887 | − | 64.2396i | 1.20778 | − | 2.09193i | ||||
\(944\) | 5.55418 | + | 18.8770i | 0.180773 | + | 0.614395i | ||||
\(945\) | −6.15609 | − | 2.24063i | −0.200258 | − | 0.0728878i | ||||
\(946\) | −20.4180 | − | 20.1708i | −0.663845 | − | 0.655810i | ||||
\(947\) | −33.8070 | − | 2.95773i | −1.09858 | − | 0.0961133i | −0.476580 | − | 0.879131i | \(-0.658124\pi\) |
−0.621999 | + | 0.783018i | \(0.713679\pi\) | |||||||
\(948\) | 6.54761 | + | 23.2974i | 0.212657 | + | 0.756665i | ||||
\(949\) | −11.9909 | + | 11.9909i | −0.389241 | + | 0.389241i | ||||
\(950\) | 0.451009 | + | 4.92264i | 0.0146327 | + | 0.159711i | ||||
\(951\) | − | 2.94828i | − | 0.0956046i | ||||||
\(952\) | 0.265077 | − | 3.83558i | 0.00859118 | − | 0.124312i | ||||
\(953\) | 14.4977 | + | 17.2777i | 0.469627 | + | 0.559680i | 0.947915 | − | 0.318523i | \(-0.103187\pi\) |
−0.478288 | + | 0.878203i | \(0.658743\pi\) | |||||||
\(954\) | −28.3081 | + | 0.172363i | −0.916507 | + | 0.00558045i | ||||
\(955\) | 23.2713 | − | 10.8516i | 0.753042 | − | 0.351149i | ||||
\(956\) | −12.4570 | + | 2.35325i | −0.402887 | + | 0.0761097i | ||||
\(957\) | −10.7329 | + | 2.87587i | −0.346945 | + | 0.0929635i | ||||
\(958\) | −38.5225 | − | 26.6257i | −1.24461 | − | 0.860237i | ||||
\(959\) | −2.13424 | + | 12.1039i | −0.0689181 | + | 0.390854i | ||||
\(960\) | 7.37013 | − | 9.46502i | 0.237870 | − | 0.305482i | ||||
\(961\) | 15.3317 | + | 26.5554i | 0.494572 | + | 0.856625i | ||||
\(962\) | −0.989313 | + | 12.1602i | −0.0318967 | + | 0.392061i | ||||
\(963\) | −3.00090 | − | 34.3004i | −0.0967025 | − | 1.10531i | ||||
\(964\) | −9.05166 | + | 5.37399i | −0.291534 | + | 0.173085i | ||||
\(965\) | 13.6891 | − | 29.3564i | 0.440668 | − | 0.945015i | ||||
\(966\) | 6.18125 | − | 2.29251i | 0.198878 | − | 0.0737602i | ||||
\(967\) | 25.6383 | − | 4.52072i | 0.824471 | − | 0.145377i | 0.254533 | − | 0.967064i | \(-0.418078\pi\) |
0.569938 | + | 0.821688i | \(0.306967\pi\) | |||||||
\(968\) | −28.3083 | − | 7.03361i | −0.909863 | − | 0.226069i | ||||
\(969\) | 5.24162 | − | 1.39331i | 0.168385 | − | 0.0447596i | ||||
\(970\) | −13.3697 | + | 37.4407i | −0.429275 | + | 1.20215i | ||||
\(971\) | −32.0790 | − | 22.4619i | −1.02946 | − | 0.720838i | −0.0685389 | − | 0.997648i | \(-0.521834\pi\) |
−0.960925 | + | 0.276810i | \(0.910723\pi\) | |||||||
\(972\) | −21.3251 | + | 21.8509i | −0.684001 | + | 0.700866i | ||||
\(973\) | −1.86497 | − | 0.869651i | −0.0597883 | − | 0.0278797i | ||||
\(974\) | 2.02367 | + | 21.6140i | 0.0648424 | + | 0.692558i | ||||
\(975\) | −1.18012 | − | 0.990242i | −0.0377942 | − | 0.0317131i | ||||
\(976\) | 12.5778 | + | 25.3428i | 0.402605 | + | 0.811204i | ||||
\(977\) | −21.1110 | − | 36.5654i | −0.675402 | − | 1.16983i | −0.976351 | − | 0.216190i | \(-0.930637\pi\) |
0.300949 | − | 0.953640i | \(-0.402697\pi\) | |||||||
\(978\) | −0.662233 | + | 0.181774i | −0.0211759 | + | 0.00581248i | ||||
\(979\) | −48.3277 | + | 33.8394i | −1.54456 | + | 1.08151i | ||||
\(980\) | 21.1680 | − | 15.2094i | 0.676186 | − | 0.485848i | ||||
\(981\) | 2.23093 | + | 8.32594i | 0.0712280 | + | 0.265827i | ||||
\(982\) | −14.5504 | + | 8.51920i | −0.464321 | + | 0.271859i | ||||
\(983\) | −2.38862 | + | 6.56269i | −0.0761853 | + | 0.209317i | −0.971939 | − | 0.235234i | \(-0.924414\pi\) |
0.895754 | + | 0.444551i | \(0.146637\pi\) | |||||||
\(984\) | −14.9876 | − | 12.1166i | −0.477787 | − | 0.386262i | ||||
\(985\) | −3.78534 | − | 4.51119i | −0.120611 | − | 0.143738i | ||||
\(986\) | 1.32567 | − | 7.79554i | 0.0422181 | − | 0.248261i | ||||
\(987\) | 3.40141 | − | 3.40141i | 0.108268 | − | 0.108268i | ||||
\(988\) | −1.76217 | + | 22.8163i | −0.0560622 | + | 0.725884i | ||||
\(989\) | 24.7654 | + | 24.7654i | 0.787493 | + | 0.787493i | ||||
\(990\) | −19.0728 | − | 26.8889i | −0.606174 | − | 0.854585i | ||||
\(991\) | 28.5226 | − | 23.9333i | 0.906049 | − | 0.760266i | −0.0653141 | − | 0.997865i | \(-0.520805\pi\) |
0.971363 | + | 0.237599i | \(0.0763605\pi\) | |||||||
\(992\) | −2.74409 | − | 1.79949i | −0.0871249 | − | 0.0571340i | ||||
\(993\) | 4.04466 | + | 1.47214i | 0.128354 | + | 0.0467169i | ||||
\(994\) | −8.05648 | − | 2.10624i | −0.255536 | − | 0.0668057i | ||||
\(995\) | 4.66664 | − | 1.25042i | 0.147942 | − | 0.0396410i | ||||
\(996\) | 0.911625 | − | 5.56557i | 0.0288859 | − | 0.176352i | ||||
\(997\) | −31.1712 | − | 44.5171i | −0.987203 | − | 1.40987i | −0.910825 | − | 0.412792i | \(-0.864554\pi\) |
−0.0763773 | − | 0.997079i | \(-0.524335\pi\) | |||||||
\(998\) | −8.62071 | + | 15.1437i | −0.272884 | + | 0.479365i | ||||
\(999\) | −11.3821 | + | 6.57147i | −0.360115 | + | 0.207912i |
(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 | 304.2.bi.a.237.27 | yes | 456 | |
16.5 | even | 4 | inner | 304.2.bi.a.85.16 | ✓ | 456 | |
19.17 | even | 9 | inner | 304.2.bi.a.93.16 | yes | 456 | |
304.245 | even | 36 | inner | 304.2.bi.a.245.27 | yes | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bi.a.85.16 | ✓ | 456 | 16.5 | even | 4 | inner | |
304.2.bi.a.93.16 | yes | 456 | 19.17 | even | 9 | inner | |
304.2.bi.a.237.27 | yes | 456 | 1.1 | even | 1 | trivial | |
304.2.bi.a.245.27 | yes | 456 | 304.245 | even | 36 | inner |