Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,3,Mod(5,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.z (of order \(18\), degree \(6\), 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: | \(4.65941252056\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.17 | ||
Character | \(\chi\) | \(=\) | 171.101 |
Dual form | 171.3.z.a.149.17 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.604348 | + | 0.106563i | −0.302174 | + | 0.0532814i | −0.322679 | − | 0.946508i | \(-0.604584\pi\) |
0.0205055 | + | 0.999790i | \(0.493472\pi\) | |||||||
\(3\) | 0.926188 | + | 2.85345i | 0.308729 | + | 0.951150i | ||||
\(4\) | −3.40489 | + | 1.23928i | −0.851222 | + | 0.309820i | ||||
\(5\) | −2.28598 | − | 2.72432i | −0.457196 | − | 0.544865i | 0.487366 | − | 0.873198i | \(-0.337958\pi\) |
−0.944562 | + | 0.328333i | \(0.893513\pi\) | |||||||
\(6\) | −0.863811 | − | 1.62578i | −0.143969 | − | 0.270963i | ||||
\(7\) | −2.40415 | − | 4.16411i | −0.343450 | − | 0.594872i | 0.641621 | − | 0.767022i | \(-0.278262\pi\) |
−0.985071 | + | 0.172149i | \(0.944929\pi\) | |||||||
\(8\) | 4.05149 | − | 2.33913i | 0.506437 | − | 0.292391i | ||||
\(9\) | −7.28435 | + | 5.28566i | −0.809372 | + | 0.587296i | ||||
\(10\) | 1.67184 | + | 1.40284i | 0.167184 | + | 0.140284i | ||||
\(11\) | − | 6.82123i | − | 0.620112i | −0.950718 | − | 0.310056i | \(-0.899652\pi\) | ||
0.950718 | − | 0.310056i | \(-0.100348\pi\) | |||||||
\(12\) | −6.68979 | − | 8.56788i | −0.557482 | − | 0.713990i | ||||
\(13\) | −5.99846 | − | 5.03331i | −0.461420 | − | 0.387178i | 0.382233 | − | 0.924066i | \(-0.375155\pi\) |
−0.843653 | + | 0.536888i | \(0.819600\pi\) | |||||||
\(14\) | 1.89668 | + | 2.26037i | 0.135477 | + | 0.161455i | ||||
\(15\) | 5.65648 | − | 9.04616i | 0.377098 | − | 0.603077i | ||||
\(16\) | 8.90352 | − | 7.47094i | 0.556470 | − | 0.466934i | ||||
\(17\) | −0.173359 | − | 0.206601i | −0.0101976 | − | 0.0121530i | 0.760922 | − | 0.648844i | \(-0.224747\pi\) |
−0.771119 | + | 0.636691i | \(0.780303\pi\) | |||||||
\(18\) | 3.83903 | − | 3.97062i | 0.213279 | − | 0.220590i | ||||
\(19\) | −10.3574 | − | 15.9287i | −0.545124 | − | 0.838355i | ||||
\(20\) | 11.1597 | + | 6.44306i | 0.557985 | + | 0.322153i | ||||
\(21\) | 9.65537 | − | 10.7169i | 0.459780 | − | 0.510327i | ||||
\(22\) | 0.726890 | + | 4.12240i | 0.0330405 | + | 0.187382i | ||||
\(23\) | 1.90850 | + | 5.24355i | 0.0829780 | + | 0.227980i | 0.974242 | − | 0.225504i | \(-0.0724029\pi\) |
−0.891264 | + | 0.453485i | \(0.850181\pi\) | |||||||
\(24\) | 10.4270 | + | 9.39426i | 0.434460 | + | 0.391428i | ||||
\(25\) | 2.14496 | − | 12.1647i | 0.0857986 | − | 0.486588i | ||||
\(26\) | 4.16152 | + | 2.40266i | 0.160059 | + | 0.0924098i | ||||
\(27\) | −21.8290 | − | 15.8900i | −0.808483 | − | 0.588519i | ||||
\(28\) | 13.3463 | + | 11.1989i | 0.476655 | + | 0.399961i | ||||
\(29\) | 6.89453 | + | 18.9426i | 0.237742 | + | 0.653192i | 0.999983 | + | 0.00589741i | \(0.00187721\pi\) |
−0.762240 | + | 0.647294i | \(0.775901\pi\) | |||||||
\(30\) | −2.45449 | + | 6.06980i | −0.0818164 | + | 0.202327i | ||||
\(31\) | −53.3648 | −1.72144 | −0.860722 | − | 0.509076i | \(-0.829987\pi\) | ||||
−0.860722 | + | 0.509076i | \(0.829987\pi\) | |||||||
\(32\) | −16.6132 | + | 19.7989i | −0.519163 | + | 0.618714i | ||||
\(33\) | 19.4641 | − | 6.31774i | 0.589820 | − | 0.191447i | ||||
\(34\) | 0.126785 | + | 0.106385i | 0.00372898 | + | 0.00312898i | ||||
\(35\) | −5.84854 | + | 16.0687i | −0.167101 | + | 0.459107i | ||||
\(36\) | 18.2520 | − | 27.0244i | 0.507000 | − | 0.750679i | ||||
\(37\) | −46.1921 | −1.24844 | −0.624218 | − | 0.781251i | \(-0.714582\pi\) | ||||
−0.624218 | + | 0.781251i | \(0.714582\pi\) | |||||||
\(38\) | 7.95686 | + | 8.52279i | 0.209391 | + | 0.224284i | ||||
\(39\) | 8.80659 | − | 21.7781i | 0.225810 | − | 0.558413i | ||||
\(40\) | −15.6342 | − | 5.69038i | −0.390855 | − | 0.142259i | ||||
\(41\) | −37.9281 | + | 6.68775i | −0.925077 | + | 0.163116i | −0.615842 | − | 0.787870i | \(-0.711184\pi\) |
−0.309235 | + | 0.950986i | \(0.600073\pi\) | |||||||
\(42\) | −4.69318 | + | 7.50561i | −0.111742 | + | 0.178705i | ||||
\(43\) | 10.9148 | + | 3.97267i | 0.253833 | + | 0.0923876i | 0.465803 | − | 0.884889i | \(-0.345766\pi\) |
−0.211970 | + | 0.977276i | \(0.567988\pi\) | |||||||
\(44\) | 8.45341 | + | 23.2256i | 0.192123 | + | 0.527854i | ||||
\(45\) | 31.0517 | + | 7.76202i | 0.690038 | + | 0.172489i | ||||
\(46\) | −1.71216 | − | 2.96555i | −0.0372209 | − | 0.0644685i | ||||
\(47\) | 7.00916 | + | 19.2575i | 0.149131 | + | 0.409734i | 0.991654 | − | 0.128926i | \(-0.0411529\pi\) |
−0.842523 | + | 0.538660i | \(0.818931\pi\) | |||||||
\(48\) | 29.5643 | + | 18.4863i | 0.615923 | + | 0.385130i | ||||
\(49\) | 12.9401 | − | 22.4130i | 0.264085 | − | 0.457408i | ||||
\(50\) | 7.58028i | 0.151606i | ||||||||
\(51\) | 0.428964 | − | 0.686023i | 0.00841105 | − | 0.0134514i | ||||
\(52\) | 26.6618 | + | 9.70409i | 0.512727 | + | 0.186617i | ||||
\(53\) | 38.3467 | + | 6.76156i | 0.723523 | + | 0.127577i | 0.523269 | − | 0.852167i | \(-0.324712\pi\) |
0.200254 | + | 0.979744i | \(0.435823\pi\) | |||||||
\(54\) | 14.8856 | + | 7.27693i | 0.275660 | + | 0.134758i | ||||
\(55\) | −18.5833 | + | 15.5932i | −0.337877 | + | 0.283513i | ||||
\(56\) | −19.4808 | − | 11.2472i | −0.347871 | − | 0.200843i | ||||
\(57\) | 35.8590 | − | 44.3072i | 0.629106 | − | 0.777320i | ||||
\(58\) | −6.18526 | − | 10.7132i | −0.106642 | − | 0.184710i | ||||
\(59\) | −32.6473 | + | 89.6977i | −0.553344 | + | 1.52030i | 0.275772 | + | 0.961223i | \(0.411067\pi\) |
−0.829116 | + | 0.559077i | \(0.811156\pi\) | |||||||
\(60\) | −8.04896 | + | 37.8111i | −0.134149 | + | 0.630186i | ||||
\(61\) | −16.8653 | − | 14.1517i | −0.276481 | − | 0.231995i | 0.493994 | − | 0.869465i | \(-0.335536\pi\) |
−0.770475 | + | 0.637470i | \(0.779981\pi\) | |||||||
\(62\) | 32.2509 | − | 5.68670i | 0.520175 | − | 0.0917209i | ||||
\(63\) | 39.5227 | + | 17.6253i | 0.627345 | + | 0.279767i | ||||
\(64\) | −15.3151 | + | 26.5265i | −0.239299 | + | 0.414477i | ||||
\(65\) | 27.8478i | 0.428428i | ||||||||
\(66\) | −11.0898 | + | 5.89226i | −0.168028 | + | 0.0892766i | ||||
\(67\) | −1.79263 | + | 10.1665i | −0.0267557 | + | 0.151739i | −0.995259 | − | 0.0972626i | \(-0.968991\pi\) |
0.968503 | + | 0.249002i | \(0.0801024\pi\) | |||||||
\(68\) | 0.846305 | + | 0.488615i | 0.0124457 | + | 0.00718551i | ||||
\(69\) | −13.1946 | + | 10.3023i | −0.191226 | + | 0.149309i | ||||
\(70\) | 1.82222 | − | 10.3343i | 0.0260318 | − | 0.147633i | ||||
\(71\) | 99.4330 | − | 17.5327i | 1.40047 | − | 0.246940i | 0.578131 | − | 0.815944i | \(-0.303782\pi\) |
0.822335 | + | 0.569004i | \(0.192671\pi\) | |||||||
\(72\) | −17.1487 | + | 38.4539i | −0.238176 | + | 0.534082i | ||||
\(73\) | −4.90757 | − | 1.78621i | −0.0672270 | − | 0.0244686i | 0.308188 | − | 0.951326i | \(-0.400278\pi\) |
−0.375415 | + | 0.926857i | \(0.622500\pi\) | |||||||
\(74\) | 27.9161 | − | 4.92236i | 0.377244 | − | 0.0665184i | ||||
\(75\) | 36.6980 | − | 5.14625i | 0.489307 | − | 0.0686166i | ||||
\(76\) | 55.0058 | + | 41.4000i | 0.723761 | + | 0.544736i | ||||
\(77\) | −28.4043 | + | 16.3993i | −0.368888 | + | 0.212977i | ||||
\(78\) | −3.00151 | + | 14.1000i | −0.0384809 | + | 0.180769i | ||||
\(79\) | −52.7127 | + | 44.2312i | −0.667249 | + | 0.559888i | −0.912250 | − | 0.409634i | \(-0.865656\pi\) |
0.245001 | + | 0.969523i | \(0.421212\pi\) | |||||||
\(80\) | −40.7065 | − | 7.17766i | −0.508832 | − | 0.0897207i | ||||
\(81\) | 25.1236 | − | 77.0052i | 0.310168 | − | 0.950682i | ||||
\(82\) | 22.2091 | − | 8.08346i | 0.270843 | − | 0.0985788i | ||||
\(83\) | 75.1090 | − | 43.3642i | 0.904927 | − | 0.522460i | 0.0261317 | − | 0.999659i | \(-0.491681\pi\) |
0.878796 | + | 0.477199i | \(0.158348\pi\) | |||||||
\(84\) | −19.5943 | + | 48.4554i | −0.233266 | + | 0.576850i | ||||
\(85\) | −0.166554 | + | 0.944573i | −0.00195946 | + | 0.0111126i | ||||
\(86\) | −7.01968 | − | 1.23776i | −0.0816242 | − | 0.0143925i | ||||
\(87\) | −47.6660 | + | 37.2175i | −0.547885 | + | 0.427788i | ||||
\(88\) | −15.9558 | − | 27.6362i | −0.181315 | − | 0.314048i | ||||
\(89\) | −53.3713 | − | 146.636i | −0.599677 | − | 1.64760i | −0.751918 | − | 0.659257i | \(-0.770871\pi\) |
0.152241 | − | 0.988343i | \(-0.451351\pi\) | |||||||
\(90\) | −19.5932 | − | 1.38200i | −0.217702 | − | 0.0153556i | ||||
\(91\) | −6.53804 | + | 37.0791i | −0.0718466 | + | 0.407462i | ||||
\(92\) | −12.9964 | − | 15.4885i | −0.141266 | − | 0.168354i | ||||
\(93\) | −49.4258 | − | 152.274i | −0.531460 | − | 1.63735i | ||||
\(94\) | −6.28811 | − | 10.8913i | −0.0668948 | − | 0.115865i | ||||
\(95\) | −19.7183 | + | 64.6296i | −0.207562 | + | 0.680312i | ||||
\(96\) | −71.8820 | − | 29.0675i | −0.748771 | − | 0.302787i | ||||
\(97\) | −14.4763 | − | 82.0991i | −0.149240 | − | 0.846382i | −0.963864 | − | 0.266393i | \(-0.914168\pi\) |
0.814624 | − | 0.579989i | \(-0.196943\pi\) | |||||||
\(98\) | −5.43196 | + | 14.9242i | −0.0554281 | + | 0.152288i | ||||
\(99\) | 36.0547 | + | 49.6883i | 0.364189 | + | 0.501902i | ||||
\(100\) | 7.77208 | + | 44.0777i | 0.0777208 | + | 0.440777i | ||||
\(101\) | 49.2893 | + | 8.69103i | 0.488013 | + | 0.0860498i | 0.412240 | − | 0.911075i | \(-0.364747\pi\) |
0.0757728 | + | 0.997125i | \(0.475858\pi\) | |||||||
\(102\) | −0.186139 | + | 0.460308i | −0.00182489 | + | 0.00451283i | ||||
\(103\) | −22.3778 | + | 38.7594i | −0.217260 | + | 0.376305i | −0.953969 | − | 0.299904i | \(-0.903045\pi\) |
0.736709 | + | 0.676209i | \(0.236379\pi\) | |||||||
\(104\) | −36.0763 | − | 6.36123i | −0.346888 | − | 0.0611656i | ||||
\(105\) | −51.2682 | − | 1.80585i | −0.488268 | − | 0.0171986i | ||||
\(106\) | −23.8953 | −0.225427 | ||||||||
\(107\) | −167.840 | − | 96.9023i | −1.56860 | − | 0.905629i | −0.996333 | − | 0.0855583i | \(-0.972733\pi\) |
−0.572262 | − | 0.820071i | \(-0.693934\pi\) | |||||||
\(108\) | 94.0177 | + | 27.0515i | 0.870534 | + | 0.250477i | ||||
\(109\) | 1.91826 | + | 10.8790i | 0.0175987 | + | 0.0998072i | 0.992342 | − | 0.123521i | \(-0.0394188\pi\) |
−0.974743 | + | 0.223329i | \(0.928308\pi\) | |||||||
\(110\) | 9.56909 | − | 11.4040i | 0.0869917 | − | 0.103673i | ||||
\(111\) | −42.7826 | − | 131.807i | −0.385429 | − | 1.18745i | ||||
\(112\) | −52.5152 | − | 19.1140i | −0.468885 | − | 0.170660i | ||||
\(113\) | 53.7741 | − | 31.0465i | 0.475877 | − | 0.274748i | −0.242820 | − | 0.970071i | \(-0.578072\pi\) |
0.718697 | + | 0.695324i | \(0.244739\pi\) | |||||||
\(114\) | −16.9498 | + | 30.5982i | −0.148683 | + | 0.268405i | ||||
\(115\) | 9.92234 | − | 17.1860i | 0.0862812 | − | 0.149443i | ||||
\(116\) | −46.9502 | − | 55.9531i | −0.404743 | − | 0.482354i | ||||
\(117\) | 70.2993 | + | 4.95855i | 0.600849 | + | 0.0423807i | ||||
\(118\) | 10.1719 | − | 57.6876i | 0.0862024 | − | 0.488878i | ||||
\(119\) | −0.443529 | + | 1.21859i | −0.00372713 | + | 0.0102402i | ||||
\(120\) | 1.75702 | − | 49.8817i | 0.0146418 | − | 0.415681i | ||||
\(121\) | 74.4708 | 0.615461 | ||||||||
\(122\) | 11.7006 | + | 6.75533i | 0.0959064 | + | 0.0553716i | ||||
\(123\) | −54.2118 | − | 102.032i | −0.440746 | − | 0.829528i | ||||
\(124\) | 181.701 | − | 66.1338i | 1.46533 | − | 0.533337i | ||||
\(125\) | −115.041 | + | 66.4191i | −0.920330 | + | 0.531353i | ||||
\(126\) | −25.7637 | − | 6.44016i | −0.204473 | − | 0.0511124i | ||||
\(127\) | 114.996 | − | 41.8550i | 0.905477 | − | 0.329567i | 0.153032 | − | 0.988221i | \(-0.451096\pi\) |
0.752445 | + | 0.658655i | \(0.228874\pi\) | |||||||
\(128\) | 41.7877 | − | 114.811i | 0.326467 | − | 0.896960i | ||||
\(129\) | −1.22664 | + | 34.8243i | −0.00950883 | + | 0.269956i | ||||
\(130\) | −2.96754 | − | 16.8298i | −0.0228272 | − | 0.129460i | ||||
\(131\) | 28.9032 | − | 79.4109i | 0.220635 | − | 0.606190i | −0.779152 | − | 0.626835i | \(-0.784350\pi\) |
0.999787 | + | 0.0206455i | \(0.00657212\pi\) | |||||||
\(132\) | −58.4435 | + | 45.6326i | −0.442754 | + | 0.345702i | ||||
\(133\) | −41.4284 | + | 81.4242i | −0.311491 | + | 0.612212i | ||||
\(134\) | − | 6.33513i | − | 0.0472771i | ||||||
\(135\) | 6.61119 | + | 95.7936i | 0.0489718 | + | 0.709583i | ||||
\(136\) | −1.18563 | − | 0.431534i | −0.00871788 | − | 0.00317305i | ||||
\(137\) | −39.2676 | + | 46.7974i | −0.286625 | + | 0.341587i | −0.890075 | − | 0.455815i | \(-0.849348\pi\) |
0.603450 | + | 0.797401i | \(0.293792\pi\) | |||||||
\(138\) | 6.87627 | − | 7.63222i | 0.0498280 | − | 0.0553060i | ||||
\(139\) | 66.6729 | + | 55.9452i | 0.479661 | + | 0.402483i | 0.850304 | − | 0.526292i | \(-0.176418\pi\) |
−0.370643 | + | 0.928775i | \(0.620863\pi\) | |||||||
\(140\) | − | 61.9602i | − | 0.442573i | ||||||
\(141\) | −48.4586 | + | 37.8364i | −0.343678 | + | 0.268343i | ||||
\(142\) | −58.2238 | + | 21.1917i | −0.410027 | + | 0.149238i | ||||
\(143\) | −34.3334 | + | 40.9169i | −0.240094 | + | 0.286132i | ||||
\(144\) | −25.3675 | + | 101.482i | −0.176163 | + | 0.704736i | ||||
\(145\) | 35.8449 | − | 62.0852i | 0.247206 | − | 0.428174i | ||||
\(146\) | 3.15622 | + | 0.556528i | 0.0216180 | + | 0.00381183i | ||||
\(147\) | 75.9394 | + | 16.1654i | 0.516594 | + | 0.109969i | ||||
\(148\) | 157.279 | − | 57.2449i | 1.06270 | − | 0.386790i | ||||
\(149\) | −13.9584 | + | 2.46124i | −0.0936805 | + | 0.0165184i | −0.220292 | − | 0.975434i | \(-0.570701\pi\) |
0.126611 | + | 0.991952i | \(0.459590\pi\) | |||||||
\(150\) | −21.6300 | + | 7.02076i | −0.144200 | + | 0.0468051i | ||||
\(151\) | −123.233 | + | 213.446i | −0.816113 | + | 1.41355i | 0.0924132 | + | 0.995721i | \(0.470542\pi\) |
−0.908526 | + | 0.417828i | \(0.862791\pi\) | |||||||
\(152\) | −79.2222 | − | 40.3080i | −0.521199 | − | 0.265184i | ||||
\(153\) | 2.35483 | + | 0.588640i | 0.0153911 | + | 0.00384732i | ||||
\(154\) | 15.4185 | − | 12.9377i | 0.100120 | − | 0.0840110i | ||||
\(155\) | 121.991 | + | 145.383i | 0.787037 | + | 0.937954i | ||||
\(156\) | −2.99633 | + | 85.0659i | −0.0192072 | + | 0.545294i | ||||
\(157\) | 9.32602 | − | 7.82546i | 0.0594014 | − | 0.0498437i | −0.612604 | − | 0.790390i | \(-0.709878\pi\) |
0.672005 | + | 0.740547i | \(0.265433\pi\) | |||||||
\(158\) | 27.1434 | − | 32.3482i | 0.171794 | − | 0.204736i | ||||
\(159\) | 16.2225 | + | 115.683i | 0.102028 | + | 0.727566i | ||||
\(160\) | 91.9160 | 0.574475 | ||||||||
\(161\) | 17.2464 | − | 20.5534i | 0.107120 | − | 0.127661i | ||||
\(162\) | −6.97748 | + | 49.2152i | −0.0430709 | + | 0.303797i | ||||
\(163\) | −119.266 | − | 206.574i | −0.731691 | − | 1.26733i | −0.956160 | − | 0.292844i | \(-0.905398\pi\) |
0.224469 | − | 0.974481i | \(-0.427935\pi\) | |||||||
\(164\) | 120.853 | − | 69.7746i | 0.736909 | − | 0.425455i | ||||
\(165\) | −61.7060 | − | 38.5841i | −0.373976 | − | 0.233843i | ||||
\(166\) | −40.7709 | + | 34.2109i | −0.245608 | + | 0.206090i | ||||
\(167\) | 44.1967 | + | 121.429i | 0.264651 | + | 0.727122i | 0.998839 | + | 0.0481758i | \(0.0153408\pi\) |
−0.734188 | + | 0.678946i | \(0.762437\pi\) | |||||||
\(168\) | 14.0506 | − | 66.0045i | 0.0836343 | − | 0.392884i | ||||
\(169\) | −18.6992 | − | 106.048i | −0.110646 | − | 0.627505i | ||||
\(170\) | − | 0.588599i | − | 0.00346235i | ||||||
\(171\) | 159.641 | + | 61.2851i | 0.933571 | + | 0.358392i | ||||
\(172\) | −42.0870 | −0.244692 | ||||||||
\(173\) | −93.7130 | + | 16.5241i | −0.541694 | + | 0.0955152i | −0.437799 | − | 0.899073i | \(-0.644242\pi\) |
−0.103895 | + | 0.994588i | \(0.533131\pi\) | |||||||
\(174\) | 24.8408 | − | 27.5718i | 0.142763 | − | 0.158458i | ||||
\(175\) | −55.8119 | + | 20.3139i | −0.318925 | + | 0.116079i | ||||
\(176\) | −50.9610 | − | 60.7330i | −0.289551 | − | 0.345074i | ||||
\(177\) | −286.185 | − | 10.0805i | −1.61687 | − | 0.0569520i | ||||
\(178\) | 47.8808 | + | 82.9320i | 0.268993 | + | 0.465910i | ||||
\(179\) | 251.151 | − | 145.002i | 1.40308 | − | 0.810068i | 0.408371 | − | 0.912816i | \(-0.366097\pi\) |
0.994707 | + | 0.102748i | \(0.0327637\pi\) | |||||||
\(180\) | −115.347 | + | 12.0529i | −0.640817 | + | 0.0669606i | ||||
\(181\) | 24.0331 | + | 20.1662i | 0.132779 | + | 0.111415i | 0.706759 | − | 0.707455i | \(-0.250157\pi\) |
−0.573979 | + | 0.818870i | \(0.694601\pi\) | |||||||
\(182\) | − | 23.1054i | − | 0.126952i | ||||||
\(183\) | 24.7607 | − | 61.2316i | 0.135304 | − | 0.334599i | ||||
\(184\) | 19.9976 | + | 16.7800i | 0.108683 | + | 0.0911955i | ||||
\(185\) | 105.594 | + | 125.842i | 0.570779 | + | 0.680228i | ||||
\(186\) | 46.0971 | + | 86.7593i | 0.247834 | + | 0.466448i | ||||
\(187\) | −1.40928 | + | 1.18252i | −0.00753624 | + | 0.00632365i | ||||
\(188\) | −47.7309 | − | 56.8834i | −0.253888 | − | 0.302571i | ||||
\(189\) | −13.6875 | + | 129.100i | −0.0724205 | + | 0.683071i | ||||
\(190\) | 5.02962 | − | 41.1600i | 0.0264717 | − | 0.216632i | ||||
\(191\) | 189.242 | + | 109.259i | 0.990794 | + | 0.572035i | 0.905511 | − | 0.424322i | \(-0.139487\pi\) |
0.0852822 | + | 0.996357i | \(0.472821\pi\) | |||||||
\(192\) | −89.8768 | − | 19.1323i | −0.468108 | − | 0.0996475i | ||||
\(193\) | 7.28334 | + | 41.3059i | 0.0377375 | + | 0.214020i | 0.997845 | − | 0.0656100i | \(-0.0208993\pi\) |
−0.960108 | + | 0.279630i | \(0.909788\pi\) | |||||||
\(194\) | 17.4974 | + | 48.0738i | 0.0901929 | + | 0.247803i | ||||
\(195\) | −79.4623 | + | 25.7923i | −0.407499 | + | 0.132268i | ||||
\(196\) | −16.2838 | + | 92.3502i | −0.0830808 | + | 0.471175i | ||||
\(197\) | −282.971 | − | 163.373i | −1.43640 | − | 0.829306i | −0.438803 | − | 0.898583i | \(-0.644597\pi\) |
−0.997597 | + | 0.0692770i | \(0.977931\pi\) | |||||||
\(198\) | −27.0845 | − | 26.1869i | −0.136790 | − | 0.132257i | ||||
\(199\) | 120.523 | + | 101.130i | 0.605641 | + | 0.508193i | 0.893253 | − | 0.449554i | \(-0.148417\pi\) |
−0.287612 | + | 0.957747i | \(0.592861\pi\) | |||||||
\(200\) | −19.7645 | − | 54.3026i | −0.0988226 | − | 0.271513i | ||||
\(201\) | −30.6699 | + | 4.30092i | −0.152587 | + | 0.0213976i | ||||
\(202\) | −30.7140 | −0.152050 | ||||||||
\(203\) | 62.3033 | − | 74.2502i | 0.306913 | − | 0.365765i | ||||
\(204\) | −0.610400 | + | 2.86744i | −0.00299216 | + | 0.0140561i | ||||
\(205\) | 104.923 | + | 88.0405i | 0.511817 | + | 0.429466i | ||||
\(206\) | 9.39363 | − | 25.8088i | 0.0456002 | − | 0.125285i | ||||
\(207\) | −41.6178 | − | 28.1082i | −0.201052 | − | 0.135788i | ||||
\(208\) | −91.0110 | −0.437553 | ||||||||
\(209\) | −108.654 | + | 70.6500i | −0.519874 | + | 0.338038i | ||||
\(210\) | 31.1762 | − | 4.37192i | 0.148458 | − | 0.0208187i | ||||
\(211\) | 253.051 | + | 92.1030i | 1.19929 | + | 0.436507i | 0.862978 | − | 0.505242i | \(-0.168597\pi\) |
0.336316 | + | 0.941749i | \(0.390819\pi\) | |||||||
\(212\) | −138.946 | + | 24.4999i | −0.655405 | + | 0.115566i | ||||
\(213\) | 142.122 | + | 267.489i | 0.667242 | + | 1.25582i | ||||
\(214\) | 111.760 | + | 40.6772i | 0.522242 | + | 0.190080i | ||||
\(215\) | −14.1282 | − | 38.8169i | −0.0657126 | − | 0.180544i | ||||
\(216\) | −125.609 | − | 13.3173i | −0.581524 | − | 0.0616542i | ||||
\(217\) | 128.297 | + | 222.216i | 0.591229 | + | 1.02404i | ||||
\(218\) | −2.31859 | − | 6.37028i | −0.0106357 | − | 0.0292214i | ||||
\(219\) | 0.551528 | − | 15.6579i | 0.00251839 | − | 0.0714972i | ||||
\(220\) | 43.9496 | − | 76.1230i | 0.199771 | − | 0.346013i | ||||
\(221\) | 2.11186i | 0.00955593i | ||||||||
\(222\) | 39.9013 | + | 75.0981i | 0.179735 | + | 0.338280i | ||||
\(223\) | −179.425 | − | 65.3054i | −0.804597 | − | 0.292849i | −0.0932068 | − | 0.995647i | \(-0.529712\pi\) |
−0.711390 | + | 0.702798i | \(0.751934\pi\) | |||||||
\(224\) | 122.385 | + | 21.5798i | 0.546362 | + | 0.0963384i | ||||
\(225\) | 48.6738 | + | 99.9495i | 0.216328 | + | 0.444220i | ||||
\(226\) | −29.1899 | + | 24.4932i | −0.129159 | + | 0.108377i | ||||
\(227\) | 97.4433 | + | 56.2589i | 0.429265 | + | 0.247837i | 0.699034 | − | 0.715089i | \(-0.253614\pi\) |
−0.269768 | + | 0.962925i | \(0.586947\pi\) | |||||||
\(228\) | −67.1870 | + | 195.301i | −0.294680 | + | 0.856581i | ||||
\(229\) | −23.1439 | − | 40.0864i | −0.101065 | − | 0.175050i | 0.811059 | − | 0.584965i | \(-0.198892\pi\) |
−0.912124 | + | 0.409915i | \(0.865558\pi\) | |||||||
\(230\) | −4.16516 | + | 11.4437i | −0.0181094 | + | 0.0497551i | ||||
\(231\) | −73.1022 | − | 65.8616i | −0.316460 | − | 0.285115i | ||||
\(232\) | 72.2423 | + | 60.6184i | 0.311389 | + | 0.261286i | ||||
\(233\) | 63.4844 | − | 11.1940i | 0.272465 | − | 0.0480430i | −0.0357460 | − | 0.999361i | \(-0.511381\pi\) |
0.308211 | + | 0.951318i | \(0.400270\pi\) | |||||||
\(234\) | −43.0136 | + | 4.49460i | −0.183819 | + | 0.0192077i | ||||
\(235\) | 36.4409 | − | 63.1175i | 0.155068 | − | 0.268585i | ||||
\(236\) | − | 345.870i | − | 1.46555i | ||||||
\(237\) | −175.033 | − | 109.447i | −0.738537 | − | 0.461800i | ||||
\(238\) | 0.138190 | − | 0.783713i | 0.000580629 | − | 0.00329291i | ||||
\(239\) | −343.902 | − | 198.552i | −1.43892 | − | 0.830762i | −0.441148 | − | 0.897435i | \(-0.645428\pi\) |
−0.997775 | + | 0.0666722i | \(0.978762\pi\) | |||||||
\(240\) | −17.2208 | − | 122.802i | −0.0717533 | − | 0.511675i | ||||
\(241\) | 40.4838 | − | 229.595i | 0.167982 | − | 0.952676i | −0.777953 | − | 0.628322i | \(-0.783742\pi\) |
0.945936 | − | 0.324354i | \(-0.105147\pi\) | |||||||
\(242\) | −45.0062 | + | 7.93581i | −0.185976 | + | 0.0327926i | ||||
\(243\) | 243.000 | + | 0.367551i | 0.999999 | + | 0.00151256i | ||||
\(244\) | 74.9625 | + | 27.2841i | 0.307224 | + | 0.111820i | ||||
\(245\) | −90.6412 | + | 15.9825i | −0.369964 | + | 0.0652346i | ||||
\(246\) | 43.6356 | + | 55.8858i | 0.177380 | + | 0.227178i | ||||
\(247\) | −18.0460 | + | 147.680i | −0.0730608 | + | 0.597894i | ||||
\(248\) | −216.207 | + | 124.827i | −0.871802 | + | 0.503335i | ||||
\(249\) | 193.303 | + | 174.156i | 0.776315 | + | 0.699423i | ||||
\(250\) | 62.4471 | − | 52.3993i | 0.249788 | − | 0.209597i | ||||
\(251\) | 338.352 | + | 59.6606i | 1.34802 | + | 0.237692i | 0.800615 | − | 0.599179i | \(-0.204506\pi\) |
0.547401 | + | 0.836870i | \(0.315617\pi\) | |||||||
\(252\) | −156.413 | − | 11.0326i | −0.620687 | − | 0.0437800i | ||||
\(253\) | 35.7675 | − | 13.0183i | 0.141373 | − | 0.0514557i | ||||
\(254\) | −65.0371 | + | 37.5492i | −0.256052 | + | 0.147831i | ||||
\(255\) | −2.84955 | + | 0.399599i | −0.0111747 | + | 0.00156706i | ||||
\(256\) | 8.25577 | − | 46.8208i | 0.0322491 | − | 0.182894i | ||||
\(257\) | 217.433 | + | 38.3393i | 0.846042 | + | 0.149180i | 0.579833 | − | 0.814735i | \(-0.303118\pi\) |
0.266209 | + | 0.963915i | \(0.414229\pi\) | |||||||
\(258\) | −2.96966 | − | 21.1767i | −0.0115103 | − | 0.0820802i | ||||
\(259\) | 111.053 | + | 192.349i | 0.428775 | + | 0.742659i | ||||
\(260\) | −34.5112 | − | 94.8187i | −0.132735 | − | 0.364687i | ||||
\(261\) | −150.346 | − | 101.542i | −0.576039 | − | 0.389050i | ||||
\(262\) | −9.00533 | + | 51.0718i | −0.0343715 | + | 0.194930i | ||||
\(263\) | 314.914 | + | 375.300i | 1.19739 | + | 1.42699i | 0.877525 | + | 0.479532i | \(0.159193\pi\) |
0.319866 | + | 0.947463i | \(0.396362\pi\) | |||||||
\(264\) | 64.0805 | − | 71.1253i | 0.242729 | − | 0.269414i | ||||
\(265\) | −69.2391 | − | 119.926i | −0.261280 | − | 0.452550i | ||||
\(266\) | 16.3603 | − | 53.6233i | 0.0615050 | − | 0.201591i | ||||
\(267\) | 368.988 | − | 288.105i | 1.38198 | − | 1.07905i | ||||
\(268\) | −6.49543 | − | 36.8374i | −0.0242367 | − | 0.137453i | ||||
\(269\) | 76.0980 | − | 209.078i | 0.282892 | − | 0.777240i | −0.714122 | − | 0.700021i | \(-0.753174\pi\) |
0.997014 | − | 0.0772186i | \(-0.0246039\pi\) | |||||||
\(270\) | −14.2035 | − | 57.1882i | −0.0526055 | − | 0.211808i | ||||
\(271\) | 33.3616 | + | 189.203i | 0.123105 | + | 0.698166i | 0.982415 | + | 0.186710i | \(0.0597824\pi\) |
−0.859310 | + | 0.511456i | \(0.829106\pi\) | |||||||
\(272\) | −3.08701 | − | 0.544324i | −0.0113493 | − | 0.00200119i | ||||
\(273\) | −111.859 | + | 15.6862i | −0.409739 | + | 0.0574586i | ||||
\(274\) | 18.7445 | − | 32.4663i | 0.0684104 | − | 0.118490i | ||||
\(275\) | −82.9783 | − | 14.6313i | −0.301739 | − | 0.0532048i | ||||
\(276\) | 32.1586 | − | 51.4300i | 0.116517 | − | 0.186340i | ||||
\(277\) | −477.806 | −1.72493 | −0.862466 | − | 0.506114i | \(-0.831081\pi\) | ||||
−0.862466 | + | 0.506114i | \(0.831081\pi\) | |||||||
\(278\) | −46.2553 | − | 26.7055i | −0.166386 | − | 0.0960629i | ||||
\(279\) | 388.728 | − | 282.068i | 1.39329 | − | 1.01100i | ||||
\(280\) | 13.8915 | + | 78.7829i | 0.0496127 | + | 0.281367i | ||||
\(281\) | −184.064 | + | 219.359i | −0.655033 | + | 0.780638i | −0.986664 | − | 0.162771i | \(-0.947957\pi\) |
0.331631 | + | 0.943409i | \(0.392401\pi\) | |||||||
\(282\) | 25.2539 | − | 28.0302i | 0.0895527 | − | 0.0993979i | ||||
\(283\) | −354.901 | − | 129.174i | −1.25407 | − | 0.456444i | −0.372294 | − | 0.928115i | \(-0.621429\pi\) |
−0.881775 | + | 0.471671i | \(0.843651\pi\) | |||||||
\(284\) | −316.831 | + | 182.922i | −1.11560 | + | 0.644092i | ||||
\(285\) | −202.680 | + | 3.59384i | −0.711159 | + | 0.0126100i | ||||
\(286\) | 16.3891 | − | 28.3867i | 0.0573045 | − | 0.0992542i | ||||
\(287\) | 119.033 | + | 141.858i | 0.414750 | + | 0.494280i | ||||
\(288\) | 16.3665 | − | 232.034i | 0.0568280 | − | 0.805672i | ||||
\(289\) | 50.1717 | − | 284.538i | 0.173604 | − | 0.984560i | ||||
\(290\) | −15.0468 | + | 41.3408i | −0.0518856 | + | 0.142554i | ||||
\(291\) | 220.858 | − | 117.347i | 0.758962 | − | 0.403253i | ||||
\(292\) | 18.9234 | 0.0648060 | ||||||||
\(293\) | 88.1762 | + | 50.9085i | 0.300943 | + | 0.173749i | 0.642866 | − | 0.765978i | \(-0.277745\pi\) |
−0.341924 | + | 0.939728i | \(0.611078\pi\) | |||||||
\(294\) | −47.6164 | − | 1.67722i | −0.161961 | − | 0.00570484i | ||||
\(295\) | 318.997 | − | 116.105i | 1.08134 | − | 0.393577i | ||||
\(296\) | −187.147 | + | 108.049i | −0.632254 | + | 0.365032i | ||||
\(297\) | −108.390 | + | 148.901i | −0.364948 | + | 0.501350i | ||||
\(298\) | 8.17345 | − | 2.97489i | 0.0274277 | − | 0.00998286i | ||||
\(299\) | 14.9444 | − | 41.0593i | 0.0499811 | − | 0.137322i | ||||
\(300\) | −118.575 | + | 63.0014i | −0.395250 | + | 0.210005i | ||||
\(301\) | −9.69821 | − | 55.0013i | −0.0322200 | − | 0.182729i | ||||
\(302\) | 51.7302 | − | 142.128i | 0.171292 | − | 0.470621i | ||||
\(303\) | 20.8517 | + | 148.694i | 0.0688175 | + | 0.490739i | ||||
\(304\) | −211.220 | − | 64.4427i | −0.694802 | − | 0.211982i | ||||
\(305\) | 78.2972i | 0.256712i | ||||||||
\(306\) | −1.48587 | − | 0.104805i | −0.00485577 | − | 0.000342501i | ||||
\(307\) | −369.747 | − | 134.577i | −1.20439 | − | 0.438361i | −0.339634 | − | 0.940558i | \(-0.610303\pi\) |
−0.864754 | + | 0.502197i | \(0.832525\pi\) | |||||||
\(308\) | 76.3904 | − | 91.0385i | 0.248021 | − | 0.295580i | ||||
\(309\) | −131.324 | − | 27.9553i | −0.424997 | − | 0.0904703i | ||||
\(310\) | −89.2172 | − | 74.8621i | −0.287797 | − | 0.241491i | ||||
\(311\) | − | 251.738i | − | 0.809445i | −0.914439 | − | 0.404723i | \(-0.867368\pi\) | ||
0.914439 | − | 0.404723i | \(-0.132632\pi\) | |||||||
\(312\) | −15.2620 | − | 108.834i | −0.0489167 | − | 0.348826i | ||||
\(313\) | −36.8713 | + | 13.4201i | −0.117800 | + | 0.0428756i | −0.400247 | − | 0.916407i | \(-0.631076\pi\) |
0.282448 | + | 0.959283i | \(0.408854\pi\) | |||||||
\(314\) | −4.80226 | + | 5.72311i | −0.0152938 | + | 0.0182265i | ||||
\(315\) | −42.3311 | − | 147.964i | −0.134384 | − | 0.469726i | ||||
\(316\) | 124.666 | − | 215.928i | 0.394513 | − | 0.683316i | ||||
\(317\) | −508.842 | − | 89.7226i | −1.60518 | − | 0.283037i | −0.701961 | − | 0.712215i | \(-0.747692\pi\) |
−0.903220 | + | 0.429179i | \(0.858803\pi\) | |||||||
\(318\) | −22.1315 | − | 68.1840i | −0.0695960 | − | 0.214415i | ||||
\(319\) | 129.212 | − | 47.0292i | 0.405052 | − | 0.147427i | ||||
\(320\) | 107.277 | − | 18.9158i | 0.335240 | − | 0.0591119i | ||||
\(321\) | 121.055 | − | 568.672i | 0.377118 | − | 1.77156i | ||||
\(322\) | −8.23258 | + | 14.2592i | −0.0255670 | + | 0.0442834i | ||||
\(323\) | −1.49536 | + | 4.90124i | −0.00462959 | + | 0.0151741i | ||||
\(324\) | 9.88793 | + | 293.329i | 0.0305183 | + | 0.905338i | ||||
\(325\) | −74.0952 | + | 62.1732i | −0.227985 | + | 0.191302i | ||||
\(326\) | 94.0910 | + | 112.133i | 0.288623 | + | 0.343967i | ||||
\(327\) | −29.2660 | + | 15.5496i | −0.0894984 | + | 0.0475524i | ||||
\(328\) | −138.022 | + | 115.814i | −0.420799 | + | 0.353092i | ||||
\(329\) | 63.3393 | − | 75.4848i | 0.192521 | − | 0.229437i | ||||
\(330\) | 41.4035 | + | 16.7427i | 0.125465 | + | 0.0507354i | ||||
\(331\) | −335.690 | −1.01417 | −0.507084 | − | 0.861897i | \(-0.669277\pi\) | ||||
−0.507084 | + | 0.861897i | \(0.669277\pi\) | |||||||
\(332\) | −201.997 | + | 240.731i | −0.608426 | + | 0.725094i | ||||
\(333\) | 336.480 | − | 244.156i | 1.01045 | − | 0.733201i | ||||
\(334\) | −39.6500 | − | 68.6758i | −0.118713 | − | 0.205616i | ||||
\(335\) | 31.7948 | − | 18.3567i | 0.0949098 | − | 0.0547962i | ||||
\(336\) | 5.90181 | − | 167.552i | 0.0175649 | − | 0.498668i | ||||
\(337\) | −363.419 | + | 304.944i | −1.07839 | + | 0.904879i | −0.995786 | − | 0.0917029i | \(-0.970769\pi\) |
−0.0826068 | + | 0.996582i | \(0.526325\pi\) | |||||||
\(338\) | 22.6016 | + | 62.0974i | 0.0668686 | + | 0.183720i | ||||
\(339\) | 138.395 | + | 124.687i | 0.408244 | + | 0.367808i | ||||
\(340\) | −0.603492 | − | 3.42257i | −0.00177498 | − | 0.0100664i | ||||
\(341\) | 364.014i | 1.06749i | ||||||||
\(342\) | −103.009 | − | 20.0257i | −0.301196 | − | 0.0585548i | ||||
\(343\) | −360.047 | −1.04970 | ||||||||
\(344\) | 53.5139 | − | 9.43594i | 0.155564 | − | 0.0274301i | ||||
\(345\) | 58.2293 | + | 12.3954i | 0.168781 | + | 0.0359288i | ||||
\(346\) | 54.8744 | − | 19.9726i | 0.158596 | − | 0.0577244i | ||||
\(347\) | 34.5272 | + | 41.1479i | 0.0995021 | + | 0.118582i | 0.813498 | − | 0.581568i | \(-0.197561\pi\) |
−0.713995 | + | 0.700150i | \(0.753116\pi\) | |||||||
\(348\) | 116.175 | − | 185.793i | 0.333835 | − | 0.533888i | ||||
\(349\) | −211.623 | − | 366.542i | −0.606370 | − | 1.05026i | −0.991833 | − | 0.127540i | \(-0.959292\pi\) |
0.385464 | − | 0.922723i | \(-0.374042\pi\) | |||||||
\(350\) | 31.5651 | − | 18.2241i | 0.0901860 | − | 0.0520689i | ||||
\(351\) | 50.9614 | + | 205.188i | 0.145189 | + | 0.584581i | ||||
\(352\) | 135.053 | + | 113.323i | 0.383672 | + | 0.321939i | ||||
\(353\) | − | 18.3167i | − | 0.0518886i | −0.999663 | − | 0.0259443i | \(-0.991741\pi\) | ||
0.999663 | − | 0.0259443i | \(-0.00825925\pi\) | |||||||
\(354\) | 174.030 | − | 24.4046i | 0.491609 | − | 0.0689395i | ||||
\(355\) | −275.067 | − | 230.808i | −0.774836 | − | 0.650164i | ||||
\(356\) | 363.447 | + | 433.139i | 1.02092 | + | 1.21668i | ||||
\(357\) | −3.88796 | − | 0.136948i | −0.0108907 | − | 0.000383609i | ||||
\(358\) | −136.331 | + | 114.395i | −0.380812 | + | 0.319539i | ||||
\(359\) | 383.170 | + | 456.645i | 1.06733 | + | 1.27199i | 0.960669 | + | 0.277695i | \(0.0895706\pi\) |
0.106658 | + | 0.994296i | \(0.465985\pi\) | |||||||
\(360\) | 143.962 | − | 41.1863i | 0.399895 | − | 0.114406i | ||||
\(361\) | −146.450 | + | 329.960i | −0.405679 | + | 0.914016i | ||||
\(362\) | −16.6733 | − | 9.62634i | −0.0460589 | − | 0.0265921i | ||||
\(363\) | 68.9739 | + | 212.499i | 0.190011 | + | 0.585396i | ||||
\(364\) | −23.6900 | − | 134.353i | −0.0650824 | − | 0.369100i | ||||
\(365\) | 6.35240 | + | 17.4531i | 0.0174038 | + | 0.0478166i | ||||
\(366\) | −8.43907 | + | 39.6437i | −0.0230576 | + | 0.108316i | ||||
\(367\) | 42.6297 | − | 241.765i | 0.116157 | − | 0.658760i | −0.870014 | − | 0.493028i | \(-0.835890\pi\) |
0.986171 | − | 0.165733i | \(-0.0529988\pi\) | |||||||
\(368\) | 56.1666 | + | 32.4278i | 0.152627 | + | 0.0881190i | ||||
\(369\) | 240.933 | − | 249.191i | 0.652934 | − | 0.675315i | ||||
\(370\) | −77.2257 | − | 64.8001i | −0.208718 | − | 0.175135i | ||||
\(371\) | −64.0353 | − | 175.936i | −0.172602 | − | 0.474220i | ||||
\(372\) | 356.999 | + | 457.223i | 0.959674 | + | 1.22909i | ||||
\(373\) | 271.540 | 0.727989 | 0.363995 | − | 0.931401i | \(-0.381413\pi\) | ||||
0.363995 | + | 0.931401i | \(0.381413\pi\) | |||||||
\(374\) | 0.725680 | − | 0.864832i | 0.00194032 | − | 0.00231238i | ||||
\(375\) | −296.073 | − | 266.748i | −0.789529 | − | 0.711327i | ||||
\(376\) | 73.4435 | + | 61.6264i | 0.195328 | + | 0.163900i | ||||
\(377\) | 53.9872 | − | 148.328i | 0.143202 | − | 0.393444i | ||||
\(378\) | −5.48531 | − | 79.4801i | −0.0145114 | − | 0.210265i | ||||
\(379\) | 241.081 | 0.636097 | 0.318049 | − | 0.948074i | \(-0.396972\pi\) | ||||
0.318049 | + | 0.948074i | \(0.396972\pi\) | |||||||
\(380\) | −12.9553 | − | 244.493i | −0.0340929 | − | 0.643403i | ||||
\(381\) | 225.939 | + | 289.369i | 0.593015 | + | 0.759497i | ||||
\(382\) | −126.011 | − | 45.8641i | −0.329871 | − | 0.120063i | ||||
\(383\) | −165.717 | + | 29.2204i | −0.432681 | + | 0.0762934i | −0.385747 | − | 0.922605i | \(-0.626056\pi\) |
−0.0469342 | + | 0.998898i | \(0.514945\pi\) | |||||||
\(384\) | 366.310 | + | 12.9028i | 0.953933 | + | 0.0336010i | ||||
\(385\) | 109.609 | + | 39.8943i | 0.284698 | + | 0.103621i | ||||
\(386\) | −8.80333 | − | 24.1870i | −0.0228066 | − | 0.0626605i | ||||
\(387\) | −100.505 | + | 28.7537i | −0.259704 | + | 0.0742989i | ||||
\(388\) | 151.034 | + | 261.598i | 0.389262 | + | 0.674222i | ||||
\(389\) | −138.121 | − | 379.483i | −0.355066 | − | 0.975536i | −0.980717 | − | 0.195433i | \(-0.937389\pi\) |
0.625651 | − | 0.780103i | \(-0.284833\pi\) | |||||||
\(390\) | 45.2744 | − | 24.0552i | 0.116088 | − | 0.0616801i | ||||
\(391\) | 0.752469 | − | 1.30331i | 0.00192447 | − | 0.00333329i | ||||
\(392\) | − | 121.075i | − | 0.308864i | ||||||
\(393\) | 253.365 | + | 8.92443i | 0.644694 | + | 0.0227085i | ||||
\(394\) | 188.422 | + | 68.5801i | 0.478229 | + | 0.174061i | ||||
\(395\) | 241.000 | + | 42.4948i | 0.610127 | + | 0.107582i | ||||
\(396\) | −184.340 | − | 124.501i | −0.465505 | − | 0.314397i | ||||
\(397\) | 69.1587 | − | 58.0311i | 0.174203 | − | 0.146174i | −0.551517 | − | 0.834163i | \(-0.685951\pi\) |
0.725721 | + | 0.687989i | \(0.241506\pi\) | |||||||
\(398\) | −83.6143 | − | 48.2747i | −0.210086 | − | 0.121293i | ||||
\(399\) | −270.710 | − | 42.7996i | −0.678472 | − | 0.107267i | ||||
\(400\) | −71.7840 | − | 124.334i | −0.179460 | − | 0.310834i | ||||
\(401\) | −76.3540 | + | 209.781i | −0.190409 | + | 0.523145i | −0.997758 | − | 0.0669302i | \(-0.978680\pi\) |
0.807349 | + | 0.590075i | \(0.200902\pi\) | |||||||
\(402\) | 18.0770 | − | 5.86752i | 0.0449676 | − | 0.0145958i | ||||
\(403\) | 320.107 | + | 268.601i | 0.794309 | + | 0.666504i | ||||
\(404\) | −178.595 | + | 31.4912i | −0.442067 | + | 0.0779484i | ||||
\(405\) | −267.219 | + | 107.588i | −0.659800 | + | 0.265648i | ||||
\(406\) | −29.7406 | + | 51.5122i | −0.0732526 | + | 0.126877i | ||||
\(407\) | 315.087i | 0.774170i | ||||||||
\(408\) | 0.133245 | − | 3.78282i | 0.000326580 | − | 0.00927162i | ||||
\(409\) | 85.2158 | − | 483.283i | 0.208352 | − | 1.18162i | −0.683726 | − | 0.729739i | \(-0.739642\pi\) |
0.892078 | − | 0.451882i | \(-0.149247\pi\) | |||||||
\(410\) | −72.7915 | − | 42.0262i | −0.177540 | − | 0.102503i | ||||
\(411\) | −169.903 | − | 68.7051i | −0.413390 | − | 0.167166i | ||||
\(412\) | 28.1601 | − | 159.704i | 0.0683497 | − | 0.387631i | ||||
\(413\) | 452.000 | − | 79.6997i | 1.09443 | − | 0.192978i | ||||
\(414\) | 28.1469 | + | 12.5522i | 0.0679876 | + | 0.0303194i | ||||
\(415\) | −289.836 | − | 105.492i | −0.698399 | − | 0.254196i | ||||
\(416\) | 199.308 | − | 35.1433i | 0.479105 | − | 0.0844791i | ||||
\(417\) | −97.8852 | + | 242.063i | −0.234737 | + | 0.580488i | ||||
\(418\) | 58.1360 | − | 54.2756i | 0.139081 | − | 0.129846i | ||||
\(419\) | −464.423 | + | 268.135i | −1.10841 | + | 0.639939i | −0.938416 | − | 0.345506i | \(-0.887707\pi\) |
−0.169991 | + | 0.985446i | \(0.554374\pi\) | |||||||
\(420\) | 176.800 | − | 57.3868i | 0.420953 | − | 0.136635i | ||||
\(421\) | 79.2254 | − | 66.4780i | 0.188184 | − | 0.157905i | −0.543828 | − | 0.839196i | \(-0.683026\pi\) |
0.732012 | + | 0.681291i | \(0.238581\pi\) | |||||||
\(422\) | −162.745 | − | 28.6964i | −0.385653 | − | 0.0680010i | ||||
\(423\) | −152.846 | − | 103.230i | −0.361338 | − | 0.244044i | ||||
\(424\) | 171.178 | − | 62.3036i | 0.403721 | − | 0.146942i | ||||
\(425\) | −2.88509 | + | 1.66571i | −0.00678845 | + | 0.00391932i | ||||
\(426\) | −114.396 | − | 146.511i | −0.268535 | − | 0.343923i | ||||
\(427\) | −18.3824 | + | 104.252i | −0.0430502 | + | 0.244150i | ||||
\(428\) | 691.565 | + | 121.942i | 1.61581 | + | 0.284910i | ||||
\(429\) | −148.554 | − | 60.0718i | −0.346279 | − | 0.140028i | ||||
\(430\) | 12.6748 | + | 21.9534i | 0.0294762 | + | 0.0510543i | ||||
\(431\) | 219.850 | + | 604.032i | 0.510092 | + | 1.40147i | 0.881141 | + | 0.472853i | \(0.156776\pi\) |
−0.371049 | + | 0.928613i | \(0.621002\pi\) | |||||||
\(432\) | −313.069 | + | 21.6064i | −0.724696 | + | 0.0500148i | ||||
\(433\) | −71.8595 | + | 407.535i | −0.165957 | + | 0.941190i | 0.782115 | + | 0.623134i | \(0.214141\pi\) |
−0.948072 | + | 0.318056i | \(0.896970\pi\) | |||||||
\(434\) | −101.216 | − | 120.624i | −0.233216 | − | 0.277936i | ||||
\(435\) | 210.356 | + | 44.7791i | 0.483577 | + | 0.102940i | ||||
\(436\) | −20.0136 | − | 34.6645i | −0.0459027 | − | 0.0795057i | ||||
\(437\) | 63.7562 | − | 84.7093i | 0.145895 | − | 0.193843i | ||||
\(438\) | 1.33523 | + | 9.52158i | 0.00304848 | + | 0.0217388i | ||||
\(439\) | 58.9456 | + | 334.297i | 0.134272 | + | 0.761497i | 0.975364 | + | 0.220603i | \(0.0708026\pi\) |
−0.841091 | + | 0.540893i | \(0.818086\pi\) | |||||||
\(440\) | −38.8154 | + | 106.644i | −0.0882168 | + | 0.242374i | ||||
\(441\) | 24.2069 | + | 231.661i | 0.0548909 | + | 0.525309i | ||||
\(442\) | −0.225046 | − | 1.27630i | −0.000509153 | − | 0.00288755i | ||||
\(443\) | −444.822 | − | 78.4341i | −1.00411 | − | 0.177052i | −0.352668 | − | 0.935749i | \(-0.614725\pi\) |
−0.651444 | + | 0.758696i | \(0.725837\pi\) | |||||||
\(444\) | 309.015 | + | 395.768i | 0.695980 | + | 0.891370i | ||||
\(445\) | −277.479 | + | 480.608i | −0.623549 | + | 1.08002i | ||||
\(446\) | 115.394 | + | 20.3471i | 0.258732 | + | 0.0456213i | ||||
\(447\) | −19.9511 | − | 37.5500i | −0.0446334 | − | 0.0840045i | ||||
\(448\) | 147.279 | 0.328748 | ||||||||
\(449\) | 16.0848 | + | 9.28656i | 0.0358236 | + | 0.0206828i | 0.517805 | − | 0.855499i | \(-0.326749\pi\) |
−0.481981 | + | 0.876182i | \(0.660083\pi\) | |||||||
\(450\) | −40.0668 | − | 55.2174i | −0.0890373 | − | 0.122705i | ||||
\(451\) | 45.6187 | + | 258.717i | 0.101150 | + | 0.573651i | ||||
\(452\) | −144.620 | + | 172.351i | −0.319955 | + | 0.381308i | ||||
\(453\) | −723.194 | − | 153.948i | −1.59645 | − | 0.339842i | ||||
\(454\) | −64.8847 | − | 23.6161i | −0.142918 | − | 0.0520179i | ||||
\(455\) | 115.961 | − | 66.9502i | 0.254860 | − | 0.147143i | ||||
\(456\) | 41.6422 | − | 263.389i | 0.0913205 | − | 0.577608i | ||||
\(457\) | 299.513 | − | 518.772i | 0.655390 | − | 1.13517i | −0.326406 | − | 0.945230i | \(-0.605838\pi\) |
0.981796 | − | 0.189939i | \(-0.0608290\pi\) | |||||||
\(458\) | 18.2587 | + | 21.7598i | 0.0398661 | + | 0.0475105i | ||||
\(459\) | 0.501365 | + | 7.26459i | 0.00109230 | + | 0.0158270i | ||||
\(460\) | −12.4862 | + | 70.8130i | −0.0271440 | + | 0.153941i | ||||
\(461\) | 60.5478 | − | 166.354i | 0.131340 | − | 0.360854i | −0.856538 | − | 0.516083i | \(-0.827389\pi\) |
0.987878 | + | 0.155229i | \(0.0496117\pi\) | |||||||
\(462\) | 51.1975 | + | 32.0133i | 0.110817 | + | 0.0692929i | ||||
\(463\) | 163.476 | 0.353080 | 0.176540 | − | 0.984293i | \(-0.443509\pi\) | ||||
0.176540 | + | 0.984293i | \(0.443509\pi\) | |||||||
\(464\) | 202.904 | + | 117.147i | 0.437294 | + | 0.252472i | ||||
\(465\) | −301.856 | + | 482.746i | −0.649154 | + | 1.03816i | ||||
\(466\) | −37.1738 | + | 13.5302i | −0.0797721 | + | 0.0290347i | ||||
\(467\) | −610.974 | + | 352.746i | −1.30830 | + | 0.755345i | −0.981812 | − | 0.189857i | \(-0.939197\pi\) |
−0.326485 | + | 0.945203i | \(0.605864\pi\) | |||||||
\(468\) | −245.506 | + | 70.2371i | −0.524586 | + | 0.150079i | ||||
\(469\) | 46.6442 | − | 16.9771i | 0.0994545 | − | 0.0361985i | ||||
\(470\) | −15.2970 | + | 42.0282i | −0.0325468 | + | 0.0894216i | ||||
\(471\) | 30.9672 | + | 19.3635i | 0.0657478 | + | 0.0411114i | ||||
\(472\) | 77.5444 | + | 439.776i | 0.164289 | + | 0.931729i | ||||
\(473\) | 27.0985 | − | 74.4525i | 0.0572907 | − | 0.157405i | ||||
\(474\) | 117.444 | + | 47.4918i | 0.247772 | + | 0.100194i | ||||
\(475\) | −215.985 | + | 91.8276i | −0.454704 | + | 0.193321i | ||||
\(476\) | − | 4.69881i | − | 0.00987144i | ||||||
\(477\) | −315.070 | + | 153.434i | −0.660525 | + | 0.321665i | ||||
\(478\) | 228.995 | + | 83.3474i | 0.479069 | + | 0.174367i | ||||
\(479\) | −58.6872 | + | 69.9406i | −0.122520 | + | 0.146014i | −0.823818 | − | 0.566855i | \(-0.808160\pi\) |
0.701297 | + | 0.712869i | \(0.252604\pi\) | |||||||
\(480\) | 85.1314 | + | 262.278i | 0.177357 | + | 0.546412i | ||||
\(481\) | 277.082 | + | 232.499i | 0.576053 | + | 0.483366i | ||||
\(482\) | 143.069i | 0.296824i | ||||||||
\(483\) | 74.6216 | + | 30.1753i | 0.154496 | + | 0.0624748i | ||||
\(484\) | −253.565 | + | 92.2900i | −0.523894 | + | 0.190682i | ||||
\(485\) | −190.572 | + | 227.115i | −0.392932 | + | 0.468278i | ||||
\(486\) | −146.895 | + | 25.6726i | −0.302254 | + | 0.0528243i | ||||
\(487\) | 201.846 | − | 349.608i | 0.414468 | − | 0.717880i | −0.580904 | − | 0.813972i | \(-0.697301\pi\) |
0.995372 | + | 0.0960919i | \(0.0306343\pi\) | |||||||
\(488\) | −101.433 | − | 17.8853i | −0.207854 | − | 0.0366502i | ||||
\(489\) | 478.986 | − | 531.645i | 0.979522 | − | 1.08721i | ||||
\(490\) | 53.0756 | − | 19.3180i | 0.108318 | − | 0.0394244i | ||||
\(491\) | 706.733 | − | 124.616i | 1.43937 | − | 0.253800i | 0.601154 | − | 0.799133i | \(-0.294708\pi\) |
0.838220 | + | 0.545333i | \(0.183597\pi\) | |||||||
\(492\) | 311.031 | + | 280.224i | 0.632177 | + | 0.569561i | ||||
\(493\) | 2.71833 | − | 4.70828i | 0.00551385 | − | 0.00955027i | ||||
\(494\) | −4.83111 | − | 91.1730i | −0.00977956 | − | 0.184561i | ||||
\(495\) | 52.9466 | − | 211.811i | 0.106963 | − | 0.427901i | ||||
\(496\) | −475.134 | + | 398.685i | −0.957932 | + | 0.803800i | ||||
\(497\) | −312.060 | − | 371.898i | −0.627887 | − | 0.748287i | ||||
\(498\) | −135.381 | − | 84.6521i | −0.271848 | − | 0.169984i | ||||
\(499\) | 681.027 | − | 571.449i | 1.36478 | − | 1.14519i | 0.390310 | − | 0.920683i | \(-0.372368\pi\) |
0.974473 | − | 0.224506i | \(-0.0720767\pi\) | |||||||
\(500\) | 309.391 | − | 368.718i | 0.618782 | − | 0.737435i | ||||
\(501\) | −305.558 | + | 238.579i | −0.609897 | + | 0.476206i | ||||
\(502\) | −210.840 | −0.420000 | ||||||||
\(503\) | −74.3723 | + | 88.6334i | −0.147857 | + | 0.176210i | −0.834890 | − | 0.550417i | \(-0.814469\pi\) |
0.687032 | + | 0.726627i | \(0.258913\pi\) | |||||||
\(504\) | 201.354 | − | 21.0400i | 0.399512 | − | 0.0417460i | ||||
\(505\) | −88.9971 | − | 154.148i | −0.176232 | − | 0.305243i | ||||
\(506\) | −20.2287 | + | 11.6791i | −0.0399777 | + | 0.0230811i | ||||
\(507\) | 285.284 | − | 151.578i | 0.562691 | − | 0.298970i | ||||
\(508\) | −339.677 | + | 285.023i | −0.668656 | + | 0.561069i | ||||
\(509\) | −347.599 | − | 955.022i | −0.682907 | − | 1.87627i | −0.395533 | − | 0.918452i | \(-0.629440\pi\) |
−0.287373 | − | 0.957819i | \(-0.592782\pi\) | |||||||
\(510\) | 1.67954 | − | 0.545153i | 0.00329321 | − | 0.00106893i | ||||
\(511\) | 4.36056 | + | 24.7300i | 0.00853339 | + | 0.0483952i | ||||
\(512\) | 517.892i | 1.01151i | ||||||||
\(513\) | −27.0167 | + | 512.288i | −0.0526641 | + | 0.998612i | ||||
\(514\) | −135.491 | −0.263600 | ||||||||
\(515\) | 156.748 | − | 27.6390i | 0.304366 | − | 0.0536679i | ||||
\(516\) | −38.9804 | − | 120.093i | −0.0755435 | − | 0.232738i | ||||
\(517\) | 131.360 | − | 47.8112i | 0.254081 | − | 0.0924781i | ||||
\(518\) | −87.6116 | − | 104.411i | −0.169134 | − | 0.201567i | ||||
\(519\) | −133.947 | − | 252.101i | −0.258086 | − | 0.485744i | ||||
\(520\) | 65.1397 | + | 112.825i | 0.125269 | + | 0.216972i | ||||
\(521\) | 355.759 | − | 205.398i | 0.682839 | − | 0.394237i | −0.118085 | − | 0.993003i | \(-0.537676\pi\) |
0.800924 | + | 0.598766i | \(0.204342\pi\) | |||||||
\(522\) | 101.682 | + | 45.3454i | 0.194793 | + | 0.0868687i | ||||
\(523\) | −541.536 | − | 454.403i | −1.03544 | − | 0.868839i | −0.0439539 | − | 0.999034i | \(-0.513995\pi\) |
−0.991489 | + | 0.130194i | \(0.958440\pi\) | |||||||
\(524\) | 306.204i | 0.584359i | ||||||||
\(525\) | −109.657 | − | 140.442i | −0.208870 | − | 0.267509i | ||||
\(526\) | −230.310 | − | 193.253i | −0.437852 | − | 0.367402i | ||||
\(527\) | 9.25127 | + | 11.0252i | 0.0175546 | + | 0.0209207i | ||||
\(528\) | 126.099 | − | 201.665i | 0.238824 | − | 0.381941i | ||||
\(529\) | 381.385 | − | 320.020i | 0.720955 | − | 0.604953i | ||||
\(530\) | 54.6241 | + | 65.0985i | 0.103064 | + | 0.122827i | ||||
\(531\) | −236.297 | − | 825.952i | −0.445004 | − | 1.55547i | ||||
\(532\) | 40.1517 | − | 328.582i | 0.0754731 | − | 0.617635i | ||||
\(533\) | 261.172 | + | 150.788i | 0.490004 | + | 0.282904i | ||||
\(534\) | −192.296 | + | 213.436i | −0.360104 | + | 0.399693i | ||||
\(535\) | 119.685 | + | 678.766i | 0.223710 | + | 1.26872i | ||||
\(536\) | 16.5180 | + | 45.3827i | 0.0308171 | + | 0.0846693i | ||||
\(537\) | 646.369 | + | 582.348i | 1.20367 | + | 1.08445i | ||||
\(538\) | −23.7098 | + | 134.465i | −0.0440702 | + | 0.249934i | ||||
\(539\) | −152.884 | − | 88.2678i | −0.283644 | − | 0.163762i | ||||
\(540\) | −141.225 | − | 317.974i | −0.261528 | − | 0.588840i | ||||
\(541\) | 204.410 | + | 171.520i | 0.377837 | + | 0.317043i | 0.811853 | − | 0.583862i | \(-0.198459\pi\) |
−0.434015 | + | 0.900906i | \(0.642904\pi\) | |||||||
\(542\) | −40.3240 | − | 110.789i | −0.0743985 | − | 0.204408i | ||||
\(543\) | −35.2840 | + | 87.2549i | −0.0649797 | + | 0.160690i | ||||
\(544\) | 6.97052 | 0.0128135 | ||||||||
\(545\) | 25.2528 | − | 30.0951i | 0.0463354 | − | 0.0552204i | ||||
\(546\) | 65.9300 | − | 21.3999i | 0.120751 | − | 0.0391939i | ||||
\(547\) | 209.405 | + | 175.712i | 0.382825 | + | 0.321228i | 0.813810 | − | 0.581131i | \(-0.197390\pi\) |
−0.430985 | + | 0.902359i | \(0.641834\pi\) | |||||||
\(548\) | 75.7070 | − | 208.003i | 0.138152 | − | 0.379568i | ||||
\(549\) | 197.654 | + | 13.9415i | 0.360026 | + | 0.0253944i | ||||
\(550\) | 51.7069 | 0.0940125 | ||||||||
\(551\) | 230.322 | − | 306.016i | 0.418007 | − | 0.555383i | ||||
\(552\) | −29.3593 | + | 72.6036i | −0.0531871 | + | 0.131528i | ||||
\(553\) | 310.912 | + | 113.163i | 0.562229 | + | 0.204634i | ||||
\(554\) | 288.761 | − | 50.9164i | 0.521230 | − | 0.0919068i | ||||
\(555\) | −261.285 | + | 417.861i | −0.470783 | + | 0.752903i | ||||
\(556\) | −296.346 | − | 107.861i | −0.532996 | − | 0.193995i | ||||
\(557\) | −368.532 | − | 1012.53i | −0.661637 | − | 1.81783i | −0.569343 | − | 0.822100i | \(-0.692802\pi\) |
−0.0922934 | − | 0.995732i | \(-0.529420\pi\) | |||||||
\(558\) | −204.869 | + | 211.891i | −0.367148 | + | 0.379733i | ||||
\(559\) | −45.4764 | − | 78.7675i | −0.0813532 | − | 0.140908i | ||||
\(560\) | 67.9760 | + | 186.762i | 0.121386 | + | 0.333504i | ||||
\(561\) | −4.67953 | − | 2.92606i | −0.00834140 | − | 0.00521580i | ||||
\(562\) | 87.8633 | − | 152.184i | 0.156340 | − | 0.270789i | ||||
\(563\) | − | 825.244i | − | 1.46580i | −0.680338 | − | 0.732898i | \(-0.738167\pi\) | ||
0.680338 | − | 0.732898i | \(-0.261833\pi\) | |||||||
\(564\) | 118.106 | − | 188.882i | 0.209408 | − | 0.334898i | ||||
\(565\) | −207.507 | − | 75.5265i | −0.367270 | − | 0.133675i | ||||
\(566\) | 228.249 | + | 40.2465i | 0.403267 | + | 0.0711068i | ||||
\(567\) | −381.059 | + | 80.5147i | −0.672061 | + | 0.142001i | ||||
\(568\) | 361.841 | − | 303.621i | 0.637044 | − | 0.534543i | ||||
\(569\) | −289.332 | − | 167.046i | −0.508492 | − | 0.293578i | 0.223722 | − | 0.974653i | \(-0.428179\pi\) |
−0.732214 | + | 0.681075i | \(0.761513\pi\) | |||||||
\(570\) | 122.106 | − | 23.7701i | 0.214222 | − | 0.0417019i | ||||
\(571\) | −427.909 | − | 741.161i | −0.749404 | − | 1.29801i | −0.948109 | − | 0.317946i | \(-0.897007\pi\) |
0.198705 | − | 0.980059i | \(-0.436326\pi\) | |||||||
\(572\) | 66.1939 | − | 181.866i | 0.115724 | − | 0.317948i | ||||
\(573\) | −136.491 | + | 641.185i | −0.238204 | + | 1.11900i | ||||
\(574\) | −87.0544 | − | 73.0473i | −0.151663 | − | 0.127260i | ||||
\(575\) | 67.8798 | − | 11.9690i | 0.118052 | − | 0.0208157i | ||||
\(576\) | −28.6497 | − | 274.179i | −0.0497390 | − | 0.476005i | ||||
\(577\) | 516.198 | − | 894.081i | 0.894624 | − | 1.54953i | 0.0603548 | − | 0.998177i | \(-0.480777\pi\) |
0.834269 | − | 0.551357i | \(-0.185890\pi\) | |||||||
\(578\) | 177.306i | 0.306758i | ||||||||
\(579\) | −111.118 | + | 59.0396i | −0.191914 | + | 0.101968i | ||||
\(580\) | −45.1071 | + | 255.815i | −0.0777709 | + | 0.441061i | ||||
\(581\) | −361.146 | − | 208.508i | −0.621594 | − | 0.358877i | ||||
\(582\) | −120.970 | + | 94.4534i | −0.207853 | + | 0.162291i | ||||
\(583\) | 46.1222 | − | 261.572i | 0.0791118 | − | 0.448666i | ||||
\(584\) | −24.0612 | + | 4.24264i | −0.0412007 | + | 0.00726479i | ||||
\(585\) | −147.194 | − | 202.853i | −0.251614 | − | 0.346758i | ||||
\(586\) | −58.7140 | − | 21.3702i | −0.100195 | − | 0.0364678i | ||||
\(587\) | −822.487 | + | 145.027i | −1.40117 | + | 0.247064i | −0.822624 | − | 0.568586i | \(-0.807491\pi\) |
−0.578546 | + | 0.815650i | \(0.696380\pi\) | |||||||
\(588\) | −278.599 | + | 39.0685i | −0.473807 | + | 0.0664431i | ||||
\(589\) | 552.718 | + | 850.034i | 0.938401 | + | 1.44318i | ||||
\(590\) | −180.412 | + | 104.161i | −0.305784 | + | 0.176544i | ||||
\(591\) | 204.093 | − | 958.758i | 0.345336 | − | 1.62226i | ||||
\(592\) | −411.272 | + | 345.098i | −0.694717 | + | 0.582937i | ||||
\(593\) | −388.661 | − | 68.5314i | −0.655415 | − | 0.115567i | −0.163955 | − | 0.986468i | \(-0.552425\pi\) |
−0.491460 | + | 0.870900i | \(0.663536\pi\) | |||||||
\(594\) | 49.6377 | − | 101.538i | 0.0835651 | − | 0.170940i | ||||
\(595\) | 4.33372 | − | 1.57735i | 0.00728356 | − | 0.00265100i | ||||
\(596\) | 44.4766 | − | 25.6786i | 0.0746252 | − | 0.0430849i | ||||
\(597\) | −176.944 | + | 437.571i | −0.296389 | + | 0.732950i | ||||
\(598\) | −4.65619 | + | 26.4066i | −0.00778628 | + | 0.0441582i | ||||
\(599\) | −47.6383 | − | 8.39991i | −0.0795297 | − | 0.0140232i | 0.133742 | − | 0.991016i | \(-0.457301\pi\) |
−0.213271 | + | 0.976993i | \(0.568412\pi\) | |||||||
\(600\) | 136.644 | − | 106.691i | 0.227740 | − | 0.177819i | ||||
\(601\) | 274.153 | + | 474.848i | 0.456162 | + | 0.790096i | 0.998754 | − | 0.0499002i | \(-0.0158903\pi\) |
−0.542592 | + | 0.839996i | \(0.682557\pi\) | |||||||
\(602\) | 11.7222 | + | 32.2064i | 0.0194721 | + | 0.0534991i | ||||
\(603\) | −40.6786 | − | 83.5317i | −0.0674603 | − | 0.138527i | ||||
\(604\) | 155.076 | − | 879.480i | 0.256748 | − | 1.45609i | ||||
\(605\) | −170.239 | − | 202.882i | −0.281386 | − | 0.335343i | ||||
\(606\) | −28.4469 | − | 87.6409i | −0.0469421 | − | 0.144622i | ||||
\(607\) | −547.307 | − | 947.964i | −0.901659 | − | 1.56172i | −0.825340 | − | 0.564636i | \(-0.809016\pi\) |
−0.0763194 | − | 0.997083i | \(-0.524317\pi\) | |||||||
\(608\) | 487.440 | + | 59.5637i | 0.801711 | + | 0.0979666i | ||||
\(609\) | 269.574 | + | 109.010i | 0.442650 | + | 0.178998i | ||||
\(610\) | −8.34357 | − | 47.3187i | −0.0136780 | − | 0.0775717i | ||||
\(611\) | 54.8848 | − | 150.795i | 0.0898279 | − | 0.246800i | ||||
\(612\) | −8.74744 | + | 0.914042i | −0.0142932 | + | 0.00149353i | ||||
\(613\) | −77.8364 | − | 441.432i | −0.126976 | − | 0.720118i | −0.980114 | − | 0.198433i | \(-0.936415\pi\) |
0.853138 | − | 0.521685i | \(-0.174696\pi\) | |||||||
\(614\) | 237.797 | + | 41.9300i | 0.387291 | + | 0.0682898i | ||||
\(615\) | −154.041 | + | 380.933i | −0.250473 | + | 0.619404i | ||||
\(616\) | −76.7200 | + | 132.883i | −0.124545 | + | 0.215719i | ||||
\(617\) | 196.579 | + | 34.6622i | 0.318605 | + | 0.0561786i | 0.330664 | − | 0.943749i | \(-0.392727\pi\) |
−0.0120589 | + | 0.999927i | \(0.503839\pi\) | |||||||
\(618\) | 82.3444 | + | 2.90047i | 0.133243 | + | 0.00469332i | ||||
\(619\) | 702.294 | 1.13456 | 0.567281 | − | 0.823524i | \(-0.307995\pi\) | ||||
0.567281 | + | 0.823524i | \(0.307995\pi\) | |||||||
\(620\) | −595.535 | − | 343.832i | −0.960540 | − | 0.554568i | ||||
\(621\) | 41.6594 | − | 144.788i | 0.0670844 | − | 0.233152i | ||||
\(622\) | 26.8259 | + | 152.137i | 0.0431284 | + | 0.244593i | ||||
\(623\) | −482.297 | + | 574.779i | −0.774152 | + | 0.922599i | ||||
\(624\) | −84.2933 | − | 259.695i | −0.135085 | − | 0.416178i | ||||
\(625\) | 153.743 | + | 55.9580i | 0.245989 | + | 0.0895328i | ||||
\(626\) | 20.8530 | − | 12.0395i | 0.0333115 | − | 0.0192324i | ||||
\(627\) | −302.230 | − | 244.603i | −0.482026 | − | 0.390116i | ||||
\(628\) | −22.0562 | + | 38.2024i | −0.0351213 | + | 0.0608318i | ||||
\(629\) | 8.00782 | + | 9.54335i | 0.0127310 | + | 0.0151723i | ||||
\(630\) | 41.3501 | + | 84.9106i | 0.0656351 | + | 0.134779i | ||||
\(631\) | −96.9993 | + | 550.110i | −0.153723 | + | 0.871807i | 0.806221 | + | 0.591615i | \(0.201509\pi\) |
−0.959944 | + | 0.280192i | \(0.909602\pi\) | |||||||
\(632\) | −110.103 | + | 302.504i | −0.174213 | + | 0.478646i | ||||
\(633\) | −28.4386 | + | 807.373i | −0.0449267 | + | 1.27547i | ||||
\(634\) | 317.079 | 0.500124 | ||||||||
\(635\) | −376.904 | − | 217.606i | −0.593549 | − | 0.342686i | ||||
\(636\) | −198.599 | − | 373.783i | −0.312263 | − | 0.587710i | ||||
\(637\) | −190.433 | + | 69.3118i | −0.298952 | + | 0.108810i | ||||
\(638\) | −73.0772 | + | 42.1911i | −0.114541 | + | 0.0661303i | ||||
\(639\) | −631.633 | + | 653.284i | −0.988471 | + | 1.02235i | ||||
\(640\) | −408.308 | + | 148.612i | −0.637981 | + | 0.232206i | ||||
\(641\) | 66.6408 | − | 183.094i | 0.103964 | − | 0.285638i | −0.876794 | − | 0.480866i | \(-0.840322\pi\) |
0.980758 | + | 0.195228i | \(0.0625446\pi\) | |||||||
\(642\) | −12.5599 | + | 356.576i | −0.0195637 | + | 0.555414i | ||||
\(643\) | 159.049 | + | 902.012i | 0.247355 | + | 1.40282i | 0.814960 | + | 0.579517i | \(0.196759\pi\) |
−0.567605 | + | 0.823301i | \(0.692130\pi\) | |||||||
\(644\) | −33.2506 | + | 91.3553i | −0.0516314 | + | 0.141856i | ||||
\(645\) | 97.6767 | − | 76.2659i | 0.151437 | − | 0.118242i | ||||
\(646\) | 0.381426 | − | 3.12140i | 0.000590442 | − | 0.00483189i | ||||
\(647\) | − | 96.3179i | − | 0.148868i | −0.997226 | − | 0.0744342i | \(-0.976285\pi\) | ||
0.997226 | − | 0.0744342i | \(-0.0237151\pi\) | |||||||
\(648\) | −78.3373 | − | 370.754i | −0.120891 | − | 0.572151i | ||||
\(649\) | 611.849 | + | 222.695i | 0.942757 | + | 0.343135i | ||||
\(650\) | 38.1539 | − | 45.4700i | 0.0586983 | − | 0.0699539i | ||||
\(651\) | −515.257 | + | 571.903i | −0.791485 | + | 0.878498i | ||||
\(652\) | 662.089 | + | 555.559i | 1.01547 | + | 0.852084i | ||||
\(653\) | − | 1225.06i | − | 1.87605i | −0.346561 | − | 0.938027i | \(-0.612651\pi\) | ||
0.346561 | − | 0.938027i | \(-0.387349\pi\) | |||||||
\(654\) | 16.0298 | − | 12.5161i | 0.0245104 | − | 0.0191377i | ||||
\(655\) | −282.413 | + | 102.790i | −0.431165 | + | 0.156931i | ||||
\(656\) | −287.730 | + | 342.903i | −0.438613 | + | 0.522719i | ||||
\(657\) | 45.1898 | − | 12.9284i | 0.0687820 | − | 0.0196779i | ||||
\(658\) | −30.2351 | + | 52.3687i | −0.0459500 | + | 0.0795877i | ||||
\(659\) | 916.166 | + | 161.545i | 1.39024 | + | 0.245136i | 0.818126 | − | 0.575039i | \(-0.195013\pi\) |
0.572112 | + | 0.820176i | \(0.306124\pi\) | |||||||
\(660\) | 257.919 | + | 54.9039i | 0.390786 | + | 0.0831877i | ||||
\(661\) | −186.494 | + | 67.8784i | −0.282140 | + | 0.102690i | −0.479214 | − | 0.877698i | \(-0.659078\pi\) |
0.197074 | + | 0.980389i | \(0.436856\pi\) | |||||||
\(662\) | 202.873 | − | 35.7720i | 0.306455 | − | 0.0540363i | ||||
\(663\) | −6.02609 | + | 1.95598i | −0.00908912 | + | 0.00295020i | ||||
\(664\) | 202.869 | − | 351.379i | 0.305526 | − | 0.529186i | ||||
\(665\) | 316.530 | − | 73.2698i | 0.475985 | − | 0.110180i | ||||
\(666\) | −177.333 | + | 183.411i | −0.266265 | + | 0.275392i | ||||
\(667\) | −86.1680 | + | 72.3035i | −0.129187 | + | 0.108401i | ||||
\(668\) | −300.970 | − | 358.682i | −0.450553 | − | 0.536949i | ||||
\(669\) | 20.1643 | − | 572.466i | 0.0301410 | − | 0.855703i | ||||
\(670\) | −17.2590 | + | 14.4820i | −0.0257596 | + | 0.0216149i | ||||
\(671\) | −96.5321 | + | 115.042i | −0.143863 | + | 0.171449i | ||||
\(672\) | 51.7747 | + | 369.207i | 0.0770458 | + | 0.549415i | ||||
\(673\) | 141.055 | 0.209592 | 0.104796 | − | 0.994494i | \(-0.466581\pi\) | ||||
0.104796 | + | 0.994494i | \(0.466581\pi\) | |||||||
\(674\) | 187.135 | − | 223.019i | 0.277649 | − | 0.330889i | ||||
\(675\) | −240.120 | + | 231.460i | −0.355733 | + | 0.342904i | ||||
\(676\) | 195.092 | + | 337.909i | 0.288598 | + | 0.499866i | ||||
\(677\) | −649.952 | + | 375.250i | −0.960047 | + | 0.554284i | −0.896188 | − | 0.443675i | \(-0.853674\pi\) |
−0.0638597 | + | 0.997959i | \(0.520341\pi\) | |||||||
\(678\) | −96.9254 | − | 60.6065i | −0.142958 | − | 0.0893901i | ||||
\(679\) | −307.066 | + | 257.659i | −0.452233 | + | 0.379469i | ||||
\(680\) | 1.53469 | + | 4.21652i | 0.00225690 | + | 0.00620077i | ||||
\(681\) | −70.2812 | + | 330.156i | −0.103203 | + | 0.484810i | ||||
\(682\) | −38.7903 | − | 219.991i | −0.0568773 | − | 0.322567i | ||||
\(683\) | 22.7759i | 0.0333469i | 0.999861 | + | 0.0166734i | \(0.00530757\pi\) | ||||
−0.999861 | + | 0.0166734i | \(0.994692\pi\) | |||||||
\(684\) | −619.508 | − | 10.8297i | −0.905714 | − | 0.0158329i | ||||
\(685\) | 217.256 | 0.317162 | ||||||||
\(686\) | 217.593 | − | 38.3676i | 0.317191 | − | 0.0559294i | ||||
\(687\) | 92.9489 | − | 103.167i | 0.135297 | − | 0.150171i | ||||
\(688\) | 126.860 | − | 46.1732i | 0.184389 | − | 0.0671122i | ||||
\(689\) | −195.988 | − | 233.570i | −0.284453 | − | 0.338998i | ||||
\(690\) | −36.5117 | − | 1.28607i | −0.0529154 | − | 0.00186388i | ||||
\(691\) | 579.183 | + | 1003.17i | 0.838181 | + | 1.45177i | 0.891414 | + | 0.453190i | \(0.149714\pi\) |
−0.0532326 | + | 0.998582i | \(0.516952\pi\) | |||||||
\(692\) | 298.604 | − | 172.399i | 0.431509 | − | 0.249132i | ||||
\(693\) | 120.226 | − | 269.594i | 0.173487 | − | 0.389024i | ||||
\(694\) | −25.2513 | − | 21.1883i | −0.0363851 | − | 0.0305308i | ||||
\(695\) | − | 309.528i | − | 0.445364i | ||||||
\(696\) | −106.062 | + | 262.284i | −0.152388 | + | 0.376844i | ||||
\(697\) | 7.95689 | + | 6.67662i | 0.0114159 | + | 0.00957908i | ||||
\(698\) | 166.954 | + | 198.968i | 0.239189 | + | 0.285054i | ||||
\(699\) | 90.7401 | + | 170.782i | 0.129814 | + | 0.244323i | ||||
\(700\) | 164.859 | − | 138.333i | 0.235513 | − | 0.197619i | ||||
\(701\) | 344.587 | + | 410.663i | 0.491565 | + | 0.585825i | 0.953615 | − | 0.301029i | \(-0.0973302\pi\) |
−0.462050 | + | 0.886854i | \(0.652886\pi\) | |||||||
\(702\) | −52.6638 | − | 118.574i | −0.0750197 | − | 0.168909i | ||||
\(703\) | 478.428 | + | 735.782i | 0.680553 | + | 1.04663i | ||||
\(704\) | 180.944 | + | 104.468i | 0.257022 | + | 0.148392i | ||||
\(705\) | 213.854 | + | 45.5237i | 0.303339 | + | 0.0645726i | ||||
\(706\) | 1.95188 | + | 11.0696i | 0.00276470 | + | 0.0156794i | ||||
\(707\) | −82.3083 | − | 226.140i | −0.116419 | − | 0.319859i | ||||
\(708\) | 986.923 | − | 320.341i | 1.39396 | − | 0.452458i | ||||
\(709\) | −182.309 | + | 1033.92i | −0.257135 | + | 1.45828i | 0.533397 | + | 0.845865i | \(0.320915\pi\) |
−0.790532 | + | 0.612420i | \(0.790196\pi\) | |||||||
\(710\) | 190.832 | + | 110.177i | 0.268777 | + | 0.155178i | ||||
\(711\) | 150.187 | − | 600.817i | 0.211233 | − | 0.845031i | ||||
\(712\) | −559.235 | − | 469.254i | −0.785443 | − | 0.659065i | ||||
\(713\) | −101.846 | − | 279.821i | −0.142842 | − | 0.392455i | ||||
\(714\) | 2.36428 | − | 0.331548i | 0.00331131 | − | 0.000464353i | ||||
\(715\) | 189.956 | 0.265673 | ||||||||
\(716\) | −675.444 | + | 804.962i | −0.943357 | + | 1.12425i | ||||
\(717\) | 248.040 | − | 1165.21i | 0.345942 | − | 1.62511i | ||||
\(718\) | −280.230 | − | 235.141i | −0.390292 | − | 0.327494i | ||||
\(719\) | 321.394 | − | 883.024i | 0.447002 | − | 1.22813i | −0.487799 | − | 0.872956i | \(-0.662200\pi\) |
0.934801 | − | 0.355172i | \(-0.115578\pi\) | |||||||
\(720\) | 334.459 | − | 162.876i | 0.464527 | − | 0.226217i | ||||
\(721\) | 215.198 | 0.298471 | ||||||||
\(722\) | 53.3453 | − | 215.017i | 0.0738854 | − | 0.297807i | ||||
\(723\) | 692.633 | − | 97.1296i | 0.957999 | − | 0.134342i | ||||
\(724\) | −106.822 | − | 38.8799i | −0.147544 | − | 0.0537015i | ||||
\(725\) | 245.219 | − | 43.2387i | 0.338233 | − | 0.0596396i | ||||
\(726\) | −64.3287 | − | 121.073i | −0.0886070 | − | 0.166767i | ||||
\(727\) | 37.7379 | + | 13.7355i | 0.0519091 | + | 0.0188934i | 0.367844 | − | 0.929887i | \(-0.380096\pi\) |
−0.315935 | + | 0.948781i | \(0.602318\pi\) | |||||||
\(728\) | 60.2439 | + | 165.519i | 0.0827527 | + | 0.227361i | ||||
\(729\) | 224.015 | + | 693.728i | 0.307290 | + | 0.951616i | ||||
\(730\) | −5.69890 | − | 9.87079i | −0.00780672 | − | 0.0135216i | ||||
\(731\) | −1.07142 | − | 2.94371i | −0.00146570 | − | 0.00402697i | ||||
\(732\) | −8.42452 | + | 239.172i | −0.0115089 | + | 0.326738i | ||||
\(733\) | 629.336 | − | 1090.04i | 0.858575 | − | 1.48710i | −0.0147132 | − | 0.999892i | \(-0.504684\pi\) |
0.873288 | − | 0.487204i | \(-0.161983\pi\) | |||||||
\(734\) | 150.653i | 0.205249i | ||||||||
\(735\) | −129.556 | − | 243.837i | −0.176267 | − | 0.331751i | ||||
\(736\) | −135.522 | − | 49.3261i | −0.184134 | − | 0.0670192i | ||||
\(737\) | 69.3481 | + | 12.2279i | 0.0940952 | + | 0.0165915i | ||||
\(738\) | −119.053 | + | 176.273i | −0.161318 | + | 0.238852i | ||||
\(739\) | −750.001 | + | 629.326i | −1.01489 | + | 0.851591i | −0.988976 | − | 0.148073i | \(-0.952693\pi\) |
−0.0259101 | + | 0.999664i | \(0.508248\pi\) | |||||||
\(740\) | −515.490 | − | 297.618i | −0.696608 | − | 0.402187i | ||||
\(741\) | −438.111 | + | 85.2858i | −0.591243 | + | 0.115096i | ||||
\(742\) | 57.4478 | + | 99.5025i | 0.0774229 | + | 0.134100i | ||||
\(743\) | 89.9242 | − | 247.065i | 0.121029 | − | 0.332523i | −0.864353 | − | 0.502886i | \(-0.832272\pi\) |
0.985381 | + | 0.170362i | \(0.0544939\pi\) | |||||||
\(744\) | −556.436 | − | 501.322i | −0.747898 | − | 0.673820i | ||||
\(745\) | 38.6138 | + | 32.4008i | 0.0518306 | + | 0.0434911i | ||||
\(746\) | −164.105 | + | 28.9361i | −0.219979 | + | 0.0387883i | ||||
\(747\) | −317.912 | + | 712.880i | −0.425585 | + | 0.954325i | ||||
\(748\) | 3.33296 | − | 5.77285i | 0.00445582 | − | 0.00771771i | ||||
\(749\) | 931.870i | 1.24415i | ||||||||
\(750\) | 207.357 | + | 129.658i | 0.276475 | + | 0.172877i | ||||
\(751\) | −0.109340 | + | 0.620096i | −0.000145592 | + | 0.000825693i | −0.984880 | − | 0.173235i | \(-0.944578\pi\) |
0.984735 | + | 0.174061i | \(0.0556890\pi\) | |||||||
\(752\) | 206.278 | + | 119.095i | 0.274306 | + | 0.158371i | ||||
\(753\) | 143.139 | + | 1020.73i | 0.190092 | + | 1.35555i | ||||
\(754\) | −16.8207 | + | 95.3950i | −0.0223086 | + | 0.126519i | ||||
\(755\) | 863.204 | − | 152.206i | 1.14332 | − | 0.201598i | ||||
\(756\) | −113.387 | − | 456.535i | −0.149983 | − | 0.603883i | ||||
\(757\) | 1088.75 | + | 396.274i | 1.43825 | + | 0.523479i | 0.939283 | − | 0.343143i | \(-0.111492\pi\) |
0.498964 | + | 0.866623i | \(0.333714\pi\) | |||||||
\(758\) | −145.697 | + | 25.6902i | −0.192212 | + | 0.0338921i | ||||
\(759\) | 70.2744 | + | 90.0033i | 0.0925882 | + | 0.118581i | ||||
\(760\) | 71.2884 | + | 307.970i | 0.0938005 | + | 0.405224i | ||||
\(761\) | −1177.78 | + | 679.992i | −1.54767 | + | 0.893550i | −0.549356 | + | 0.835588i | \(0.685127\pi\) |
−0.998319 | + | 0.0579619i | \(0.981540\pi\) | |||||||
\(762\) | −167.381 | − | 150.803i | −0.219661 | − | 0.197904i | ||||
\(763\) | 40.6895 | − | 34.1425i | 0.0533283 | − | 0.0447477i | ||||
\(764\) | −779.749 | − | 137.491i | −1.02061 | − | 0.179962i | ||||
\(765\) | −3.77946 | − | 7.76095i | −0.00494047 | − | 0.0101450i | ||||
\(766\) | 97.0368 | − | 35.3185i | 0.126680 | − | 0.0461077i | ||||
\(767\) | 647.310 | − | 373.725i | 0.843950 | − | 0.487255i | ||||
\(768\) | 141.247 | − | 19.8074i | 0.183916 | − | 0.0257909i | ||||
\(769\) | 55.1997 | − | 313.053i | 0.0717811 | − | 0.407091i | −0.927653 | − | 0.373444i | \(-0.878177\pi\) |
0.999434 | − | 0.0336468i | \(-0.0107121\pi\) | |||||||
\(770\) | −70.4930 | − | 12.4298i | −0.0915493 | − | 0.0161426i | ||||
\(771\) | 91.9845 | + | 655.943i | 0.119305 | + | 0.850769i | ||||
\(772\) | −75.9884 | − | 131.616i | −0.0984306 | − | 0.170487i | ||||
\(773\) | 407.855 | + | 1120.57i | 0.527626 | + | 1.44964i | 0.861859 | + | 0.507149i | \(0.169301\pi\) |
−0.334233 | + | 0.942490i | \(0.608477\pi\) | |||||||
\(774\) | 57.6762 | − | 28.0874i | 0.0745170 | − | 0.0362886i | ||||
\(775\) | −114.466 | + | 649.166i | −0.147697 | + | 0.837634i | ||||
\(776\) | −250.691 | − | 298.762i | −0.323056 | − | 0.385003i | ||||
\(777\) | −446.002 | + | 495.034i | −0.574005 | + | 0.637110i | ||||
\(778\) | 123.912 | + | 214.621i | 0.159270 | + | 0.275863i | ||||
\(779\) | 499.363 | + | 534.880i | 0.641031 | + | 0.686624i | ||||
\(780\) | 238.597 | − | 186.296i | 0.305893 | − | 0.238841i | ||||
\(781\) | −119.595 | − | 678.256i | −0.153130 | − | 0.868446i | ||||
\(782\) | −0.315868 | + | 0.867840i | −0.000403923 | + | 0.00110977i | ||||
\(783\) | 150.497 | − | 523.052i | 0.192205 | − | 0.668010i | ||||
\(784\) | −52.2333 | − | 296.230i | −0.0666241 | − | 0.377844i | ||||
\(785\) | −42.6382 | − | 7.51826i | −0.0543162 | − | 0.00957740i | ||||
\(786\) | −154.071 | + | 21.6058i | −0.196020 | + | 0.0274883i | ||||
\(787\) | 249.132 | − | 431.510i | 0.316559 | − | 0.548297i | −0.663208 | − | 0.748435i | \(-0.730806\pi\) |
0.979768 | + | 0.200138i | \(0.0641390\pi\) | |||||||
\(788\) | 1165.95 | + | 205.588i | 1.47963 | + | 0.260899i | ||||
\(789\) | −779.229 | + | 1246.19i | −0.987616 | + | 1.57945i | ||||
\(790\) | −150.176 | −0.190097 | ||||||||
\(791\) | −258.562 | − | 149.281i | −0.326880 | − | 0.188724i | ||||
\(792\) | 262.303 | + | 116.975i | 0.331191 | + | 0.147696i | ||||
\(793\) | 29.9363 | + | 169.777i | 0.0377506 | + | 0.214095i | ||||
\(794\) | −35.6120 | + | 42.4407i | −0.0448513 | + | 0.0534517i | ||||
\(795\) | 278.073 | − | 308.644i | 0.349778 | − | 0.388232i | ||||
\(796\) | −535.695 | − | 194.977i | −0.672983 | − | 0.244946i | ||||
\(797\) | 300.237 | − | 173.342i | 0.376709 | − | 0.217493i | −0.299676 | − | 0.954041i | \(-0.596879\pi\) |
0.676385 | + | 0.736548i | \(0.263545\pi\) | |||||||
\(798\) | 168.164 | − | 2.98181i | 0.210732 | − | 0.00373661i | ||||
\(799\) | 2.76353 | − | 4.78657i | 0.00345873 | − | 0.00599070i | ||||
\(800\) | 205.212 | + | 244.563i | 0.256515 | + | 0.305703i | ||||
\(801\) | 1163.85 | + | 786.049i | 1.45299 | + | 0.981334i | ||||
\(802\) | 23.7895 | − | 134.917i | 0.0296628 | − | 0.168226i | ||||
\(803\) | −12.1842 | + | 33.4757i | −0.0151733 | + | 0.0416883i | ||||
\(804\) | 99.0977 | − | 52.6527i | 0.123256 | − | 0.0654885i | ||||
\(805\) | −95.4191 | −0.118533 | ||||||||
\(806\) | −222.079 | − | 128.217i | −0.275532 | − | 0.159078i | ||||
\(807\) | 667.073 | + | 23.4968i | 0.826609 | + | 0.0291162i | ||||
\(808\) | 220.025 | − | 80.0825i | 0.272308 | − | 0.0991119i | ||||
\(809\) | 174.494 | − | 100.744i | 0.215691 | − | 0.124529i | −0.388262 | − | 0.921549i | \(-0.626925\pi\) |
0.603953 | + | 0.797020i | \(0.293591\pi\) | |||||||
\(810\) | 150.028 | − | 93.4959i | 0.185220 | − | 0.115427i | ||||
\(811\) | −1272.87 | + | 463.288i | −1.56951 | + | 0.571255i | −0.972890 | − | 0.231269i | \(-0.925712\pi\) |
−0.596620 | + | 0.802524i | \(0.703490\pi\) | |||||||
\(812\) | −120.119 | + | 330.025i | −0.147930 | + | 0.406435i | ||||
\(813\) | −508.982 | + | 270.433i | −0.626054 | + | 0.332636i | ||||
\(814\) | −33.5766 | − | 190.422i | −0.0412489 | − | 0.233934i | ||||
\(815\) | −290.136 | + | 797.142i | −0.355995 | + | 0.978088i | ||||
\(816\) | −1.30595 | − | 9.31278i | −0.00160043 | − | 0.0114127i | ||||
\(817\) | −49.7691 | − | 215.006i | −0.0609169 | − | 0.263165i | ||||
\(818\) | 301.152i | 0.368156i | ||||||||
\(819\) | −148.362 | − | 304.655i | −0.181150 | − | 0.371984i | ||||
\(820\) | −466.356 | − | 169.740i | −0.568727 | − | 0.207000i | ||||
\(821\) | 432.802 | − | 515.794i | 0.527165 | − | 0.628251i | −0.435094 | − | 0.900385i | \(-0.643285\pi\) |
0.962259 | + | 0.272134i | \(0.0877295\pi\) | |||||||
\(822\) | 110.002 | + | 23.4164i | 0.133822 | + | 0.0284871i | ||||
\(823\) | −233.729 | − | 196.122i | −0.283997 | − | 0.238302i | 0.489649 | − | 0.871919i | \(-0.337125\pi\) |
−0.773646 | + | 0.633618i | \(0.781569\pi\) | |||||||
\(824\) | 209.378i | 0.254100i | ||||||||
\(825\) | −35.1038 | − | 250.326i | −0.0425500 | − | 0.303425i | ||||
\(826\) | −264.672 | + | 96.3327i | −0.320426 | + | 0.116626i | ||||
\(827\) | −878.002 | + | 1046.36i | −1.06167 | + | 1.26525i | −0.0988524 | + | 0.995102i | \(0.531517\pi\) |
−0.962819 | + | 0.270148i | \(0.912927\pi\) | |||||||
\(828\) | 176.538 | + | 44.1293i | 0.213210 | + | 0.0532962i | ||||
\(829\) | 167.153 | − | 289.517i | 0.201632 | − | 0.349237i | −0.747422 | − | 0.664349i | \(-0.768709\pi\) |
0.949054 | + | 0.315112i | \(0.102042\pi\) | |||||||
\(830\) | 186.403 | + | 32.8679i | 0.224582 | + | 0.0395998i | ||||
\(831\) | −442.538 | − | 1363.40i | −0.532537 | − | 1.64067i | ||||
\(832\) | 225.383 | − | 82.0328i | 0.270893 | − | 0.0985972i | ||||
\(833\) | −6.87385 | + | 1.21205i | −0.00825192 | + | 0.00145504i | ||||
\(834\) | 33.3617 | − | 156.721i | 0.0400021 | − | 0.187915i | ||||
\(835\) | 229.780 | − | 397.991i | 0.275186 | − | 0.476636i | ||||
\(836\) | 282.399 | − | 375.208i | 0.337798 | − | 0.448813i | ||||
\(837\) | 1164.90 | + | 847.967i | 1.39176 | + | 1.01310i | ||||
\(838\) | 252.100 | − | 211.537i | 0.300835 | − | 0.252430i | ||||
\(839\) | 614.843 | + | 732.741i | 0.732828 | + | 0.873350i | 0.995810 | − | 0.0914505i | \(-0.0291503\pi\) |
−0.262982 | + | 0.964801i | \(0.584706\pi\) | |||||||
\(840\) | −211.937 | + | 112.607i | −0.252306 | + | 0.134055i | ||||
\(841\) | 332.958 | − | 279.385i | 0.395907 | − | 0.332205i | ||||
\(842\) | −40.7956 | + | 48.6183i | −0.0484509 | + | 0.0577415i | ||||
\(843\) | −796.409 | − | 322.050i | −0.944731 | − | 0.382029i | ||||
\(844\) | −975.752 | −1.15610 | ||||||||
\(845\) | −246.164 | + | 293.367i | −0.291318 | + | 0.347180i | ||||
\(846\) | 103.373 | + | 46.0994i | 0.122190 | + | 0.0544910i | ||||
\(847\) | −179.039 | − | 310.104i | −0.211380 | − | 0.366121i | ||||
\(848\) | 391.936 | − | 226.284i | 0.462189 | − | 0.266845i | ||||
\(849\) | 39.8849 | − | 1132.33i | 0.0469787 | − | 1.33372i | ||||
\(850\) | 1.56610 | − | 1.31411i | 0.00184247 | − | 0.00154601i | ||||
\(851\) | −88.1574 | − | 242.210i | −0.103593 | − | 0.284619i | ||||
\(852\) | −815.404 | − | 734.640i | −0.957047 | − | 0.862254i | ||||
\(853\) | −98.9977 | − | 561.444i | −0.116058 | − | 0.658199i | −0.986221 | − | 0.165434i | \(-0.947097\pi\) |
0.870163 | − | 0.492765i | \(-0.164014\pi\) | |||||||
\(854\) | − | 64.9633i | − | 0.0760694i | ||||||
\(855\) | −197.975 | − | 575.009i | −0.231549 | − | 0.672525i | ||||
\(856\) | −906.669 | −1.05919 | ||||||||
\(857\) | −684.385 | + | 120.676i | −0.798582 | + | 0.140812i | −0.558026 | − | 0.829824i | \(-0.688441\pi\) |
−0.240556 | + | 0.970635i | \(0.577330\pi\) | |||||||
\(858\) | 96.1794 | + | 20.4740i | 0.112097 | + | 0.0238624i | ||||
\(859\) | −1240.17 | + | 451.384i | −1.44373 | + | 0.525477i | −0.940834 | − | 0.338868i | \(-0.889956\pi\) |
−0.502901 | + | 0.864344i | \(0.667734\pi\) | |||||||
\(860\) | 96.2099 | + | 114.659i | 0.111872 | + | 0.133324i | ||||
\(861\) | −294.539 | + | 471.043i | −0.342089 | + | 0.547089i | ||||
\(862\) | −197.233 | − | 341.618i | −0.228809 | − | 0.396308i | ||||
\(863\) | 489.030 | − | 282.342i | 0.566663 | − | 0.327163i | −0.189152 | − | 0.981948i | \(-0.560574\pi\) |
0.755816 | + | 0.654785i | \(0.227241\pi\) | |||||||
\(864\) | 677.255 | − | 168.206i | 0.783860 | − | 0.194683i | ||||
\(865\) | 259.243 | + | 217.531i | 0.299703 | + | 0.251481i | ||||
\(866\) | − | 253.951i | − | 0.293245i | ||||||
\(867\) | 858.383 | − | 120.373i | 0.990061 | − | 0.138839i | ||||
\(868\) | −712.224 | − | 597.627i | −0.820535 | − | 0.688511i | ||||
\(869\) | 301.711 | + | 359.566i | 0.347194 | + | 0.413769i | ||||
\(870\) | −131.900 | − | 4.64600i | −0.151609 | − | 0.00534023i | ||||
\(871\) | 61.9242 | − | 51.9606i | 0.0710955 | − | 0.0596562i | ||||
\(872\) | 33.2192 | + | 39.5891i | 0.0380954 | + | 0.0454003i | ||||
\(873\) | 539.398 | + | 521.522i | 0.617868 | + | 0.597391i | ||||
\(874\) | −29.5040 | + | 57.9879i | −0.0337575 | + | 0.0663477i | ||||
\(875\) | 553.152 | + | 319.362i | 0.632174 | + | 0.364986i | ||||
\(876\) | 17.5266 | + | 53.9969i | 0.0200075 | + | 0.0616403i | ||||
\(877\) | −136.644 | − | 774.947i | −0.155808 | − | 0.883634i | −0.958043 | − | 0.286625i | \(-0.907467\pi\) |
0.802234 | − | 0.597009i | \(-0.203644\pi\) | |||||||
\(878\) | −71.2472 | − | 195.750i | −0.0811472 | − | 0.222950i | ||||
\(879\) | −63.5973 | + | 298.757i | −0.0723518 | + | 0.339883i | ||||
\(880\) | −48.9605 | + | 277.669i | −0.0556369 | + | 0.315533i | ||||
\(881\) | −108.492 | − | 62.6379i | −0.123146 | − | 0.0710986i | 0.437161 | − | 0.899383i | \(-0.355984\pi\) |
−0.560308 | + | 0.828284i | \(0.689317\pi\) | |||||||
\(882\) | −39.3159 | − | 137.424i | −0.0445758 | − | 0.155810i | ||||
\(883\) | 276.736 | + | 232.209i | 0.313404 | + | 0.262977i | 0.785897 | − | 0.618357i | \(-0.212201\pi\) |
−0.472493 | + | 0.881334i | \(0.656646\pi\) | |||||||
\(884\) | −2.61718 | − | 7.19065i | −0.00296062 | − | 0.00813422i | ||||
\(885\) | 626.751 | + | 802.706i | 0.708194 | + | 0.907012i | ||||
\(886\) | 277.185 | 0.312850 | ||||||||
\(887\) | −921.114 | + | 1097.74i | −1.03846 | + | 1.23759i | −0.0676572 | + | 0.997709i | \(0.521552\pi\) |
−0.970803 | + | 0.239880i | \(0.922892\pi\) | |||||||
\(888\) | −481.647 | − | 433.941i | −0.542395 | − | 0.488672i | ||||
\(889\) | −450.755 | − | 378.228i | −0.507036 | − | 0.425454i | ||||
\(890\) | 116.479 | − | 320.024i | 0.130875 | − | 0.359577i | ||||
\(891\) | −525.271 | − | 171.374i | −0.589529 | − | 0.192339i | ||||
\(892\) | 691.854 | 0.775621 | ||||||||
\(893\) | 234.152 | − | 311.104i | 0.262208 | − | 0.348381i | ||||
\(894\) | 16.0588 | + | 20.5672i | 0.0179629 | + | 0.0230058i | ||||
\(895\) | −969.159 | − | 352.745i | −1.08286 | − | 0.394128i | ||||
\(896\) | −578.548 | + | 102.014i | −0.645701 | + | 0.113855i | ||||
\(897\) | 131.002 | + | 4.61436i | 0.146044 | + | 0.00514422i | ||||
\(898\) | −10.7104 | − | 3.89827i | −0.0119270 | − | 0.00434106i | ||||
\(899\) | −367.925 | − | 1010.86i | −0.409260 | − | 1.12443i | ||||
\(900\) | −289.594 | − | 279.997i | −0.321771 | − | 0.311107i | ||||
\(901\) | −5.25081 | − | 9.09466i | −0.00582775 | − | 0.0100940i | ||||
\(902\) | −55.1392 | − | 151.494i | −0.0611299 | − | 0.167953i | ||||
\(903\) | 147.961 | − | 78.6149i | 0.163855 | − | 0.0870597i | ||||
\(904\) | 145.244 | − | 251.570i | 0.160668 | − | 0.278285i | ||||
\(905\) | − | 111.573i | − | 0.123285i | ||||||
\(906\) | 453.466 | + | 15.9727i | 0.500514 | + | 0.0176299i | ||||
\(907\) | −906.462 | − | 329.925i | −0.999407 | − | 0.363754i | −0.210051 | − | 0.977690i | \(-0.567363\pi\) |
−0.789356 | + | 0.613936i | \(0.789585\pi\) | |||||||
\(908\) | −401.504 | − | 70.7960i | −0.442185 | − | 0.0779692i | ||||
\(909\) | −404.978 | + | 197.218i | −0.445521 | + | 0.216961i | ||||
\(910\) | −62.9465 | + | 52.8184i | −0.0691719 | + | 0.0580421i | ||||
\(911\) | 1347.04 | + | 777.714i | 1.47864 | + | 0.853693i | 0.999708 | − | 0.0241602i | \(-0.00769118\pi\) |
0.478931 | + | 0.877853i | \(0.341025\pi\) | |||||||
\(912\) | −11.7452 | − | 662.391i | −0.0128786 | − | 0.726306i | ||||
\(913\) | −295.797 | − | 512.336i | −0.323984 | − | 0.561156i | ||||
\(914\) | −125.728 | + | 345.436i | −0.137558 | + | 0.377938i | ||||
\(915\) | −223.417 | + | 72.5179i | −0.244172 | + | 0.0792545i | ||||
\(916\) | 128.481 | + | 107.808i | 0.140263 | + | 0.117694i | ||||
\(917\) | −400.163 | + | 70.5595i | −0.436383 | + | 0.0769460i | ||||
\(918\) | −1.07713 | − | 4.33691i | −0.00117335 | − | 0.00472431i | ||||
\(919\) | 269.235 | − | 466.329i | 0.292966 | − | 0.507431i | −0.681544 | − | 0.731777i | \(-0.738691\pi\) |
0.974510 | + | 0.224346i | \(0.0720245\pi\) | |||||||
\(920\) | − | 92.8386i | − | 0.100912i | ||||||
\(921\) | 41.5533 | − | 1179.70i | 0.0451176 | − | 1.28089i | ||||
\(922\) | −18.8648 | + | 106.988i | −0.0204607 | + | 0.116039i | ||||
\(923\) | −684.693 | − | 395.308i | −0.741813 | − | 0.428286i | ||||
\(924\) | 330.526 | + | 133.657i | 0.357712 | + | 0.144651i | ||||
\(925\) | −99.0804 | + | 561.913i | −0.107114 | + | 0.607474i | ||||
\(926\) | −98.7964 | + | 17.4205i | −0.106692 | + | 0.0188126i | ||||
\(927\) | −41.8617 | − | 400.618i | −0.0451582 | − | 0.432167i | ||||
\(928\) | −489.581 | − | 178.193i | −0.527566 | − | 0.192018i | ||||
\(929\) | −825.000 | + | 145.470i | −0.888051 | + | 0.156587i | −0.599022 | − | 0.800733i | \(-0.704444\pi\) |
−0.289030 | + | 0.957320i | \(0.593333\pi\) | |||||||
\(930\) | 130.983 | − | 323.913i | 0.140842 | − | 0.348294i | ||||
\(931\) | −491.037 | + | 26.0192i | −0.527429 | + | 0.0279476i | ||||
\(932\) | −202.285 | + | 116.789i | −0.217044 | + | 0.125310i | ||||
\(933\) | 718.320 | − | 233.156i | 0.769904 | − | 0.249900i | ||||
\(934\) | 331.651 | − | 278.288i | 0.355087 | − | 0.297953i | ||||
\(935\) | 6.44315 | + | 1.13610i | 0.00689107 | + | 0.00121508i | ||||
\(936\) | 296.416 | − | 144.350i | 0.316684 | − | 0.154220i | ||||
\(937\) | −135.157 | + | 49.1933i | −0.144245 | + | 0.0525008i | −0.413134 | − | 0.910670i | \(-0.635566\pi\) |
0.268889 | + | 0.963171i | \(0.413344\pi\) | |||||||
\(938\) | −26.3802 | + | 15.2306i | −0.0281238 | + | 0.0162373i | ||||
\(939\) | −72.4432 | − | 92.7809i | −0.0771493 | − | 0.0988082i | ||||
\(940\) | −45.8571 | + | 260.069i | −0.0487842 | + | 0.276669i | ||||
\(941\) | −765.256 | − | 134.935i | −0.813237 | − | 0.143396i | −0.248463 | − | 0.968641i | \(-0.579925\pi\) |
−0.564774 | + | 0.825246i | \(0.691037\pi\) | |||||||
\(942\) | −20.7784 | − | 8.40233i | −0.0220577 | − | 0.00891967i | ||||
\(943\) | −107.453 | − | 186.114i | −0.113948 | − | 0.197364i | ||||
\(944\) | 379.450 | + | 1042.53i | 0.401960 | + | 1.10438i | ||||
\(945\) | 383.001 | − | 257.832i | 0.405292 | − | 0.272838i | ||||
\(946\) | −8.44304 | + | 47.8829i | −0.00892499 | + | 0.0506161i | ||||
\(947\) | 94.3776 | + | 112.475i | 0.0996596 | + | 0.118770i | 0.813569 | − | 0.581468i | \(-0.197522\pi\) |
−0.713909 | + | 0.700238i | \(0.753077\pi\) | |||||||
\(948\) | 731.604 | + | 155.739i | 0.771734 | + | 0.164281i | ||||
\(949\) | 20.4474 | + | 35.4159i | 0.0215462 | + | 0.0373191i | ||||
\(950\) | 120.744 | − | 78.5117i | 0.127099 | − | 0.0826439i | ||||
\(951\) | −215.265 | − | 1535.06i | −0.226356 | − | 1.61415i | ||||
\(952\) | 1.05348 | + | 5.97457i | 0.00110659 | + | 0.00627580i | ||||
\(953\) | 229.840 | − | 631.480i | 0.241175 | − | 0.662623i | −0.758762 | − | 0.651368i | \(-0.774195\pi\) |
0.999937 | − | 0.0112546i | \(-0.00358252\pi\) | |||||||
\(954\) | 174.062 | − | 126.302i | 0.182455 | − | 0.132392i | ||||
\(955\) | −134.946 | − | 765.318i | −0.141305 | − | 0.801381i | ||||
\(956\) | 1417.01 | + | 249.857i | 1.48223 | + | 0.261357i | ||||
\(957\) | 253.870 | + | 325.141i | 0.265277 | + | 0.339750i | ||||
\(958\) | 28.0144 | − | 48.5223i | 0.0292426 | − | 0.0506496i | ||||
\(959\) | 289.274 | + | 51.0069i | 0.301642 | + | 0.0531876i | ||||
\(960\) | 153.334 | + | 288.590i | 0.159723 | + | 0.300614i | ||||
\(961\) | 1886.80 | 1.96337 | ||||||||
\(962\) | −192.229 | − | 110.984i | −0.199823 | − | 0.115368i | ||||
\(963\) | 1734.80 | − | 181.273i | 1.80145 | − | 0.188238i | ||||
\(964\) | 146.689 | + | 831.916i | 0.152167 | + | 0.862983i | ||||
\(965\) | 95.8810 | − | 114.266i | 0.0993585 | − | 0.118411i | ||||
\(966\) | −48.3130 | − | 10.2845i | −0.0500134 | − | 0.0106465i | ||||
\(967\) | −364.704 | − | 132.741i | −0.377150 | − | 0.137271i | 0.146487 | − | 0.989213i | \(-0.453203\pi\) |
−0.523638 | + | 0.851941i | \(0.675425\pi\) | |||||||
\(968\) | 301.718 | − | 174.197i | 0.311692 | − | 0.179955i | ||||
\(969\) | −15.3704 | + | 0.272542i | −0.0158622 | + | 0.000281261i | ||||
\(970\) | 90.9698 | − | 157.564i | 0.0937833 | − | 0.162437i | ||||
\(971\) | 369.062 | + | 439.831i | 0.380085 | + | 0.452967i | 0.921841 | − | 0.387568i | \(-0.126685\pi\) |
−0.541756 | + | 0.840536i | \(0.682240\pi\) | |||||||
\(972\) | −827.843 | + | 299.893i | −0.851690 | + | 0.308532i | ||||
\(973\) | 72.6702 | − | 412.133i | 0.0746868 | − | 0.423570i | ||||
\(974\) | −84.7300 | + | 232.794i | −0.0869918 | + | 0.239008i | ||||
\(975\) | −246.034 | − | 153.843i | −0.252343 | − | 0.157787i | ||||
\(976\) | −255.887 | −0.262180 | ||||||||
\(977\) | 1596.18 | + | 921.557i | 1.63376 | + | 0.943252i | 0.982919 | + | 0.184039i | \(0.0589172\pi\) |
0.650842 | + | 0.759213i | \(0.274416\pi\) | |||||||
\(978\) | −232.821 | + | 372.340i | −0.238058 | + | 0.380716i | ||||
\(979\) | −1000.24 | + | 364.058i | −1.02170 | + | 0.371867i | ||||
\(980\) | 288.816 | − | 166.748i | 0.294711 | − | 0.170151i | ||||
\(981\) | −71.4759 | − | 69.1071i | −0.0728603 | − | 0.0704456i | ||||
\(982\) | −413.833 | + | 150.623i | −0.421418 | + | 0.153384i | ||||
\(983\) | −130.958 | + | 359.804i | −0.133223 | + | 0.366026i | −0.988310 | − | 0.152458i | \(-0.951281\pi\) |
0.855087 | + | 0.518484i | \(0.173503\pi\) | |||||||
\(984\) | −458.305 | − | 286.573i | −0.465757 | − | 0.291233i | ||||
\(985\) | 201.784 | + | 1144.37i | 0.204857 | + | 1.16180i | ||||
\(986\) | −1.14109 | + | 3.13511i | −0.00115729 | + | 0.00317963i | ||||
\(987\) | 274.056 | + | 110.822i | 0.277666 | + | 0.112282i | ||||
\(988\) | −121.572 | − | 525.198i | −0.123048 | − | 0.531577i | ||||
\(989\) | 64.8141i | 0.0655350i | ||||||||
\(990\) | −9.42696 | + | 133.650i | −0.00952218 | + | 0.135000i | ||||
\(991\) | 852.767 | + | 310.382i | 0.860512 | + | 0.313201i | 0.734319 | − | 0.678805i | \(-0.237502\pi\) |
0.126193 | + | 0.992006i | \(0.459724\pi\) | |||||||
\(992\) | 886.560 | − | 1056.56i | 0.893710 | − | 1.06508i | ||||
\(993\) | −310.912 | − | 957.873i | −0.313103 | − | 0.964626i | ||||
\(994\) | 228.223 | + | 191.502i | 0.229601 | + | 0.192658i | ||||
\(995\) | − | 559.525i | − | 0.562336i | ||||||
\(996\) | −874.002 | − | 353.427i | −0.877512 | − | 0.354847i | ||||
\(997\) | 1538.19 | − | 559.854i | 1.54281 | − | 0.561538i | 0.576096 | − | 0.817382i | \(-0.304575\pi\) |
0.966718 | + | 0.255844i | \(0.0823532\pi\) | |||||||
\(998\) | −350.682 | + | 417.926i | −0.351384 | + | 0.418764i | ||||
\(999\) | 1008.33 | + | 733.993i | 1.00934 | + | 0.734728i |
(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 | 171.3.z.a.101.17 | ✓ | 228 | |
9.5 | odd | 6 | 171.3.bf.a.158.17 | yes | 228 | ||
19.16 | even | 9 | 171.3.bf.a.92.17 | yes | 228 | ||
171.149 | odd | 18 | inner | 171.3.z.a.149.17 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.3.z.a.101.17 | ✓ | 228 | 1.1 | even | 1 | trivial | |
171.3.z.a.149.17 | yes | 228 | 171.149 | odd | 18 | inner | |
171.3.bf.a.92.17 | yes | 228 | 19.16 | even | 9 | ||
171.3.bf.a.158.17 | yes | 228 | 9.5 | odd | 6 |