Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 690.11 |
Dual form | 690.2.q.a.251.16 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.540641 | + | 0.841254i | 0.382291 | + | 0.594856i | ||||
\(3\) | 1.73004 | + | 0.0835168i | 0.998837 | + | 0.0482184i | ||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | 0.865069 | + | 1.50055i | 0.353163 | + | 0.612598i | ||||
\(7\) | 0.0904807 | − | 0.0784019i | 0.0341985 | − | 0.0296331i | −0.637594 | − | 0.770373i | \(-0.720070\pi\) |
0.671792 | + | 0.740740i | \(0.265525\pi\) | |||||||
\(8\) | −0.989821 | + | 0.142315i | −0.349955 | + | 0.0503159i | ||||
\(9\) | 2.98605 | + | 0.288974i | 0.995350 | + | 0.0963247i | ||||
\(10\) | −0.755750 | − | 0.654861i | −0.238989 | − | 0.207085i | ||||
\(11\) | 1.78435 | + | 1.14673i | 0.538001 | + | 0.345752i | 0.781257 | − | 0.624210i | \(-0.214579\pi\) |
−0.243255 | + | 0.969962i | \(0.578215\pi\) | |||||||
\(12\) | −0.794652 | + | 1.53900i | −0.229396 | + | 0.444272i | ||||
\(13\) | −4.06646 | + | 4.69295i | −1.12783 | + | 1.30159i | −0.179699 | + | 0.983722i | \(0.557512\pi\) |
−0.948135 | + | 0.317868i | \(0.897033\pi\) | |||||||
\(14\) | 0.114873 | + | 0.0337299i | 0.0307012 | + | 0.00901469i | ||||
\(15\) | −1.68349 | + | 0.407274i | −0.434674 | + | 0.105158i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 1.82025 | + | 3.98579i | 0.441476 | + | 0.966697i | 0.991325 | + | 0.131433i | \(0.0419579\pi\) |
−0.549849 | + | 0.835264i | \(0.685315\pi\) | |||||||
\(18\) | 1.37128 | + | 2.66826i | 0.323214 | + | 0.628914i | ||||
\(19\) | 2.42113 | + | 1.10569i | 0.555446 | + | 0.253663i | 0.673303 | − | 0.739367i | \(-0.264875\pi\) |
−0.117857 | + | 0.993031i | \(0.537602\pi\) | |||||||
\(20\) | 0.142315 | − | 0.989821i | 0.0318226 | − | 0.221331i | ||||
\(21\) | 0.163083 | − | 0.128082i | 0.0355876 | − | 0.0279497i | ||||
\(22\) | 2.12106i | 0.452211i | ||||||||
\(23\) | 4.06204 | − | 2.54947i | 0.846995 | − | 0.531602i | ||||
\(24\) | −1.72431 | + | 0.163543i | −0.351974 | + | 0.0333831i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | −6.14646 | − | 0.883727i | −1.20542 | − | 0.173313i | ||||
\(27\) | 5.14184 | + | 0.749321i | 0.989548 | + | 0.144207i | ||||
\(28\) | 0.0337299 | + | 0.114873i | 0.00637435 | + | 0.0217090i | ||||
\(29\) | 2.53162 | − | 1.15615i | 0.470110 | − | 0.214692i | −0.166251 | − | 0.986083i | \(-0.553166\pi\) |
0.636361 | + | 0.771391i | \(0.280439\pi\) | |||||||
\(30\) | −1.25278 | − | 1.19605i | −0.228726 | − | 0.218368i | ||||
\(31\) | −0.200611 | − | 1.39528i | −0.0360308 | − | 0.250599i | 0.963843 | − | 0.266470i | \(-0.0858572\pi\) |
−0.999874 | + | 0.0158703i | \(0.994948\pi\) | |||||||
\(32\) | 0.281733 | − | 0.959493i | 0.0498038 | − | 0.169616i | ||||
\(33\) | 2.99122 | + | 2.13291i | 0.520704 | + | 0.371292i | ||||
\(34\) | −2.36896 | + | 3.68618i | −0.406274 | + | 0.632174i | ||||
\(35\) | −0.0647272 | + | 0.100717i | −0.0109409 | + | 0.0170244i | ||||
\(36\) | −1.50331 | + | 2.59616i | −0.250552 | + | 0.432694i | ||||
\(37\) | −1.92669 | + | 6.56171i | −0.316746 | + | 1.07874i | 0.635168 | + | 0.772374i | \(0.280931\pi\) |
−0.951914 | + | 0.306364i | \(0.900887\pi\) | |||||||
\(38\) | 0.378794 | + | 2.63457i | 0.0614485 | + | 0.427383i | ||||
\(39\) | −7.42707 | + | 7.77935i | −1.18928 | + | 1.24569i | ||||
\(40\) | 0.909632 | − | 0.415415i | 0.143825 | − | 0.0656829i | ||||
\(41\) | −3.58975 | − | 12.2256i | −0.560625 | − | 1.90931i | −0.376529 | − | 0.926405i | \(-0.622882\pi\) |
−0.184096 | − | 0.982908i | \(-0.558936\pi\) | |||||||
\(42\) | 0.195918 | + | 0.0679478i | 0.0302308 | + | 0.0104846i | ||||
\(43\) | −2.74932 | − | 0.395292i | −0.419267 | − | 0.0602815i | −0.0705469 | − | 0.997508i | \(-0.522474\pi\) |
−0.348720 | + | 0.937227i | \(0.613384\pi\) | |||||||
\(44\) | −1.78435 | + | 1.14673i | −0.269001 | + | 0.172876i | ||||
\(45\) | −2.94651 | + | 0.563999i | −0.439239 | + | 0.0840760i | ||||
\(46\) | 4.34086 | + | 2.03886i | 0.640025 | + | 0.300613i | ||||
\(47\) | − | 8.49366i | − | 1.23893i | −0.785025 | − | 0.619464i | \(-0.787350\pi\) | ||
0.785025 | − | 0.619464i | \(-0.212650\pi\) | |||||||
\(48\) | −1.06981 | − | 1.36217i | −0.154414 | − | 0.196612i | ||||
\(49\) | −0.994164 | + | 6.91456i | −0.142023 | + | 0.987795i | ||||
\(50\) | 0.909632 | + | 0.415415i | 0.128641 | + | 0.0587486i | ||||
\(51\) | 2.81622 | + | 7.04759i | 0.394350 | + | 0.986860i | ||||
\(52\) | −2.57959 | − | 5.64851i | −0.357724 | − | 0.783307i | ||||
\(53\) | −6.85937 | − | 7.91614i | −0.942208 | − | 1.08737i | −0.996048 | − | 0.0888159i | \(-0.971692\pi\) |
0.0538405 | − | 0.998550i | \(-0.482854\pi\) | |||||||
\(54\) | 2.14952 | + | 4.73070i | 0.292513 | + | 0.643767i | ||||
\(55\) | −2.03514 | − | 0.597571i | −0.274418 | − | 0.0805765i | ||||
\(56\) | −0.0784019 | + | 0.0904807i | −0.0104769 | + | 0.0120910i | ||||
\(57\) | 4.09630 | + | 2.11509i | 0.542568 | + | 0.280151i | ||||
\(58\) | 2.34131 | + | 1.50467i | 0.307430 | + | 0.197573i | ||||
\(59\) | 5.76742 | + | 4.99750i | 0.750855 | + | 0.650619i | 0.943772 | − | 0.330596i | \(-0.107250\pi\) |
−0.192918 | + | 0.981215i | \(0.561795\pi\) | |||||||
\(60\) | 0.328876 | − | 1.70054i | 0.0424578 | − | 0.219539i | ||||
\(61\) | 8.29264 | − | 1.19230i | 1.06176 | − | 0.152659i | 0.410768 | − | 0.911740i | \(-0.365261\pi\) |
0.650996 | + | 0.759081i | \(0.274351\pi\) | |||||||
\(62\) | 1.06532 | − | 0.923109i | 0.135296 | − | 0.117235i | ||||
\(63\) | 0.292836 | − | 0.207966i | 0.0368939 | − | 0.0262012i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | 2.57959 | − | 5.64851i | 0.319958 | − | 0.700611i | ||||
\(66\) | −0.177144 | + | 3.66951i | −0.0218049 | + | 0.451685i | ||||
\(67\) | −6.19522 | − | 9.63994i | −0.756866 | − | 1.17771i | −0.979232 | − | 0.202743i | \(-0.935014\pi\) |
0.222366 | − | 0.974963i | \(-0.428622\pi\) | |||||||
\(68\) | −4.38177 | −0.531367 | ||||||||
\(69\) | 7.24040 | − | 4.07143i | 0.871642 | − | 0.490143i | ||||
\(70\) | −0.119723 | −0.0143096 | ||||||||
\(71\) | −7.30356 | − | 11.3646i | −0.866773 | − | 1.34872i | −0.936321 | − | 0.351146i | \(-0.885792\pi\) |
0.0695477 | − | 0.997579i | \(-0.477844\pi\) | |||||||
\(72\) | −2.99678 | + | 0.138926i | −0.353174 | + | 0.0163726i | ||||
\(73\) | 1.04420 | − | 2.28647i | 0.122214 | − | 0.267611i | −0.838630 | − | 0.544702i | \(-0.816643\pi\) |
0.960844 | + | 0.277091i | \(0.0893702\pi\) | |||||||
\(74\) | −6.56171 | + | 1.92669i | −0.762783 | + | 0.223973i | ||||
\(75\) | 1.50055 | − | 0.865069i | 0.173269 | − | 0.0998896i | ||||
\(76\) | −2.01155 | + | 1.74302i | −0.230740 | + | 0.199938i | ||||
\(77\) | 0.251355 | − | 0.0361394i | 0.0286446 | − | 0.00411847i | ||||
\(78\) | −10.5598 | − | 2.04221i | −1.19566 | − | 0.231235i | ||||
\(79\) | −4.41725 | − | 3.82756i | −0.496979 | − | 0.430635i | 0.369961 | − | 0.929047i | \(-0.379371\pi\) |
−0.866940 | + | 0.498413i | \(0.833916\pi\) | |||||||
\(80\) | 0.841254 | + | 0.540641i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | 8.83299 | + | 1.72578i | 0.981443 | + | 0.191754i | ||||
\(82\) | 8.34404 | − | 9.62953i | 0.921445 | − | 1.06340i | ||||
\(83\) | 8.16318 | + | 2.39693i | 0.896025 | + | 0.263097i | 0.697148 | − | 0.716928i | \(-0.254452\pi\) |
0.198878 | + | 0.980024i | \(0.436270\pi\) | |||||||
\(84\) | 0.0487601 | + | 0.201552i | 0.00532016 | + | 0.0219912i | ||||
\(85\) | −2.86945 | − | 3.31152i | −0.311235 | − | 0.359185i | ||||
\(86\) | −1.15385 | − | 2.52658i | −0.124423 | − | 0.272448i | ||||
\(87\) | 4.47635 | − | 1.78875i | 0.479915 | − | 0.191774i | ||||
\(88\) | −1.92938 | − | 0.881120i | −0.205673 | − | 0.0939277i | ||||
\(89\) | −1.23518 | + | 8.59085i | −0.130929 | + | 0.910628i | 0.813419 | + | 0.581678i | \(0.197604\pi\) |
−0.944347 | + | 0.328950i | \(0.893305\pi\) | |||||||
\(90\) | −2.06747 | − | 2.17384i | −0.217930 | − | 0.229143i | ||||
\(91\) | 0.743440i | 0.0779337i | ||||||||
\(92\) | 0.631647 | + | 4.75405i | 0.0658538 | + | 0.495644i | ||||
\(93\) | −0.230535 | − | 2.43064i | −0.0239053 | − | 0.252045i | ||||
\(94\) | 7.14532 | − | 4.59202i | 0.736984 | − | 0.473631i | ||||
\(95\) | −2.63457 | − | 0.378794i | −0.270301 | − | 0.0388634i | ||||
\(96\) | 0.567541 | − | 1.63643i | 0.0579244 | − | 0.167017i | ||||
\(97\) | 0.0157293 | + | 0.0535692i | 0.00159707 | + | 0.00543913i | 0.960288 | − | 0.279012i | \(-0.0900069\pi\) |
−0.958691 | + | 0.284451i | \(0.908189\pi\) | |||||||
\(98\) | −6.35439 | + | 2.90195i | −0.641890 | + | 0.293141i | ||||
\(99\) | 4.99678 | + | 3.93983i | 0.502195 | + | 0.395968i | ||||
\(100\) | 0.142315 | + | 0.989821i | 0.0142315 | + | 0.0989821i | ||||
\(101\) | 3.60731 | − | 12.2854i | 0.358940 | − | 1.22244i | −0.560150 | − | 0.828391i | \(-0.689256\pi\) |
0.919090 | − | 0.394047i | \(-0.128925\pi\) | |||||||
\(102\) | −4.40625 | + | 6.17937i | −0.436283 | + | 0.611849i | ||||
\(103\) | −2.62737 | + | 4.08826i | −0.258882 | + | 0.402829i | −0.946227 | − | 0.323502i | \(-0.895140\pi\) |
0.687345 | + | 0.726331i | \(0.258776\pi\) | |||||||
\(104\) | 3.35720 | − | 5.22390i | 0.329200 | − | 0.512245i | ||||
\(105\) | −0.120392 | + | 0.168839i | −0.0117491 | + | 0.0164770i | ||||
\(106\) | 2.95102 | − | 10.0503i | 0.286629 | − | 0.976168i | ||||
\(107\) | 2.08785 | + | 14.5213i | 0.201840 | + | 1.40383i | 0.798818 | + | 0.601573i | \(0.205459\pi\) |
−0.596977 | + | 0.802258i | \(0.703632\pi\) | |||||||
\(108\) | −2.81760 | + | 4.36590i | −0.271124 | + | 0.420109i | ||||
\(109\) | −14.6137 | + | 6.67388i | −1.39974 | + | 0.639241i | −0.965225 | − | 0.261421i | \(-0.915809\pi\) |
−0.434519 | + | 0.900663i | \(0.643081\pi\) | |||||||
\(110\) | −0.597571 | − | 2.03514i | −0.0569762 | − | 0.194043i | ||||
\(111\) | −3.88126 | + | 11.1911i | −0.368393 | + | 1.06221i | ||||
\(112\) | −0.118504 | − | 0.0170384i | −0.0111976 | − | 0.00160997i | ||||
\(113\) | 8.13377 | − | 5.22726i | 0.765161 | − | 0.491739i | −0.0989178 | − | 0.995096i | \(-0.531538\pi\) |
0.864079 | + | 0.503356i | \(0.167902\pi\) | |||||||
\(114\) | 0.435296 | + | 4.58953i | 0.0407692 | + | 0.429849i | ||||
\(115\) | −3.17923 | + | 3.59061i | −0.296465 | + | 0.334826i | ||||
\(116\) | 2.78313i | 0.258407i | ||||||||
\(117\) | −13.4988 | + | 12.8383i | −1.24796 | + | 1.18690i | ||||
\(118\) | −1.08606 | + | 7.55372i | −0.0999800 | + | 0.695376i | ||||
\(119\) | 0.477192 | + | 0.217926i | 0.0437441 | + | 0.0199773i | ||||
\(120\) | 1.60839 | − | 0.642713i | 0.146825 | − | 0.0586714i | ||||
\(121\) | −2.70066 | − | 5.91362i | −0.245514 | − | 0.537601i | ||||
\(122\) | 5.48637 | + | 6.33161i | 0.496713 | + | 0.573237i | ||||
\(123\) | −5.18936 | − | 21.4505i | −0.467909 | − | 1.93412i | ||||
\(124\) | 1.35253 | + | 0.397138i | 0.121460 | + | 0.0356640i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 0.333271 | + | 0.133915i | 0.0296901 | + | 0.0119301i | ||||
\(127\) | −4.50126 | − | 2.89278i | −0.399422 | − | 0.256693i | 0.325474 | − | 0.945551i | \(-0.394476\pi\) |
−0.724896 | + | 0.688858i | \(0.758112\pi\) | |||||||
\(128\) | 0.755750 | + | 0.654861i | 0.0667995 | + | 0.0578821i | ||||
\(129\) | −4.72340 | − | 0.913484i | −0.415872 | − | 0.0804277i | ||||
\(130\) | 6.14646 | − | 0.883727i | 0.539080 | − | 0.0775080i | ||||
\(131\) | 11.2698 | − | 9.76530i | 0.984643 | − | 0.853198i | −0.00452464 | − | 0.999990i | \(-0.501440\pi\) |
0.989167 | + | 0.146792i | \(0.0468948\pi\) | |||||||
\(132\) | −3.18276 | + | 1.83486i | −0.277024 | + | 0.159704i | ||||
\(133\) | 0.305754 | − | 0.0897775i | 0.0265122 | − | 0.00778470i | ||||
\(134\) | 4.76025 | − | 10.4235i | 0.411223 | − | 0.900453i | ||||
\(135\) | −5.14467 | + | 0.729656i | −0.442782 | + | 0.0627988i | ||||
\(136\) | −2.36896 | − | 3.68618i | −0.203137 | − | 0.316087i | ||||
\(137\) | −5.49587 | −0.469544 | −0.234772 | − | 0.972050i | \(-0.575434\pi\) | ||||
−0.234772 | + | 0.972050i | \(0.575434\pi\) | |||||||
\(138\) | 7.33956 | + | 3.88984i | 0.624785 | + | 0.331125i | ||||
\(139\) | 16.7690 | 1.42233 | 0.711166 | − | 0.703024i | \(-0.248168\pi\) | ||||
0.711166 | + | 0.703024i | \(0.248168\pi\) | |||||||
\(140\) | −0.0647272 | − | 0.100717i | −0.00547045 | − | 0.00851218i | ||||
\(141\) | 0.709363 | − | 14.6943i | 0.0597391 | − | 1.23749i | ||||
\(142\) | 5.61187 | − | 12.2883i | 0.470938 | − | 1.03121i | ||||
\(143\) | −12.6375 | + | 3.71072i | −1.05680 | + | 0.310306i | ||||
\(144\) | −1.73705 | − | 2.44594i | −0.144755 | − | 0.203829i | ||||
\(145\) | −2.10335 | + | 1.82256i | −0.174673 | + | 0.151355i | ||||
\(146\) | 2.48804 | − | 0.357726i | 0.205911 | − | 0.0296056i | ||||
\(147\) | −2.29742 | + | 11.8794i | −0.189488 | + | 0.979797i | ||||
\(148\) | −5.16836 | − | 4.47841i | −0.424837 | − | 0.368123i | ||||
\(149\) | 8.84582 | + | 5.68486i | 0.724678 | + | 0.465722i | 0.850261 | − | 0.526361i | \(-0.176444\pi\) |
−0.125584 | + | 0.992083i | \(0.540080\pi\) | |||||||
\(150\) | 1.53900 | + | 0.794652i | 0.125659 | + | 0.0648831i | ||||
\(151\) | 2.36765 | − | 2.73241i | 0.192677 | − | 0.222361i | −0.651189 | − | 0.758916i | \(-0.725729\pi\) |
0.843865 | + | 0.536555i | \(0.180275\pi\) | |||||||
\(152\) | −2.55384 | − | 0.749876i | −0.207144 | − | 0.0608230i | ||||
\(153\) | 4.28357 | + | 12.4278i | 0.346306 | + | 1.00473i | ||||
\(154\) | 0.166295 | + | 0.191915i | 0.0134004 | + | 0.0154649i | ||||
\(155\) | 0.585580 | + | 1.28224i | 0.0470349 | + | 0.102992i | ||||
\(156\) | −3.99103 | − | 9.98756i | −0.319538 | − | 0.799645i | ||||
\(157\) | 11.8365 | + | 5.40557i | 0.944659 | + | 0.431412i | 0.827352 | − | 0.561684i | \(-0.189846\pi\) |
0.117308 | + | 0.993096i | \(0.462574\pi\) | |||||||
\(158\) | 0.831809 | − | 5.78536i | 0.0661752 | − | 0.460259i | ||||
\(159\) | −11.2058 | − | 14.2681i | −0.888681 | − | 1.13153i | ||||
\(160\) | 1.00000i | 0.0790569i | ||||||||
\(161\) | 0.167653 | − | 0.549150i | 0.0132129 | − | 0.0432791i | ||||
\(162\) | 3.32365 | + | 8.36381i | 0.261131 | + | 0.657123i | ||||
\(163\) | −1.02890 | + | 0.661234i | −0.0805896 | + | 0.0517918i | −0.580315 | − | 0.814392i | \(-0.697071\pi\) |
0.499725 | + | 0.866184i | \(0.333434\pi\) | |||||||
\(164\) | 12.6120 | + | 1.81333i | 0.984832 | + | 0.141597i | ||||
\(165\) | −3.47096 | − | 1.20379i | −0.270214 | − | 0.0937148i | ||||
\(166\) | 2.39693 | + | 8.16318i | 0.186037 | + | 0.633585i | ||||
\(167\) | −7.18223 | + | 3.28002i | −0.555778 | + | 0.253815i | −0.673444 | − | 0.739238i | \(-0.735186\pi\) |
0.117667 | + | 0.993053i | \(0.462459\pi\) | |||||||
\(168\) | −0.143195 | + | 0.149987i | −0.0110477 | + | 0.0115717i | ||||
\(169\) | −3.63755 | − | 25.2997i | −0.279812 | − | 1.94613i | ||||
\(170\) | 1.23449 | − | 4.20427i | 0.0946808 | − | 0.322453i | ||||
\(171\) | 6.91010 | + | 4.00130i | 0.528429 | + | 0.305987i | ||||
\(172\) | 1.50168 | − | 2.33666i | 0.114502 | − | 0.178168i | ||||
\(173\) | 3.26280 | − | 5.07702i | 0.248066 | − | 0.385999i | −0.694782 | − | 0.719220i | \(-0.744499\pi\) |
0.942849 | + | 0.333221i | \(0.108136\pi\) | |||||||
\(174\) | 3.92489 | + | 2.79867i | 0.297545 | + | 0.212167i | ||||
\(175\) | 0.0337299 | − | 0.114873i | 0.00254974 | − | 0.00868362i | ||||
\(176\) | −0.301858 | − | 2.09947i | −0.0227534 | − | 0.158254i | ||||
\(177\) | 9.56048 | + | 9.12753i | 0.718609 | + | 0.686067i | ||||
\(178\) | −7.89487 | + | 3.60547i | −0.591745 | + | 0.270241i | ||||
\(179\) | −3.60460 | − | 12.2761i | −0.269421 | − | 0.917562i | −0.977412 | − | 0.211341i | \(-0.932217\pi\) |
0.707992 | − | 0.706221i | \(-0.249601\pi\) | |||||||
\(180\) | 0.710992 | − | 2.91453i | 0.0529942 | − | 0.217236i | ||||
\(181\) | −21.5664 | − | 3.10078i | −1.60302 | − | 0.230479i | −0.718004 | − | 0.696039i | \(-0.754944\pi\) |
−0.885016 | + | 0.465560i | \(0.845853\pi\) | |||||||
\(182\) | −0.625421 | + | 0.401934i | −0.0463593 | + | 0.0297933i | ||||
\(183\) | 14.4461 | − | 1.37015i | 1.06789 | − | 0.101284i | ||||
\(184\) | −3.65787 | + | 3.10161i | −0.269662 | + | 0.228654i | ||||
\(185\) | − | 6.83872i | − | 0.502793i | ||||||
\(186\) | 1.92014 | − | 1.50804i | 0.140792 | − | 0.110575i | ||||
\(187\) | −1.32267 | + | 9.19939i | −0.0967234 | + | 0.672726i | ||||
\(188\) | 7.72610 | + | 3.52839i | 0.563484 | + | 0.257335i | ||||
\(189\) | 0.523985 | − | 0.335331i | 0.0381143 | − | 0.0243918i | ||||
\(190\) | −1.10569 | − | 2.42113i | −0.0802154 | − | 0.175647i | ||||
\(191\) | 7.48878 | + | 8.64251i | 0.541869 | + | 0.625350i | 0.958969 | − | 0.283510i | \(-0.0914990\pi\) |
−0.417100 | + | 0.908861i | \(0.636954\pi\) | |||||||
\(192\) | 1.68349 | − | 0.407274i | 0.121495 | − | 0.0293925i | ||||
\(193\) | 9.43880 | + | 2.77148i | 0.679420 | + | 0.199496i | 0.603193 | − | 0.797595i | \(-0.293895\pi\) |
0.0762262 | + | 0.997091i | \(0.475713\pi\) | |||||||
\(194\) | −0.0365614 | + | 0.0421941i | −0.00262495 | + | 0.00302936i | ||||
\(195\) | 4.93452 | − | 9.55668i | 0.353369 | − | 0.684368i | ||||
\(196\) | −5.87672 | − | 3.77674i | −0.419765 | − | 0.269767i | ||||
\(197\) | 12.4772 | + | 10.8116i | 0.888964 | + | 0.770292i | 0.974109 | − | 0.226077i | \(-0.0725900\pi\) |
−0.0851454 | + | 0.996369i | \(0.527135\pi\) | |||||||
\(198\) | −0.612931 | + | 6.33359i | −0.0435591 | + | 0.450109i | ||||
\(199\) | 6.62122 | − | 0.951988i | 0.469366 | − | 0.0674846i | 0.0964260 | − | 0.995340i | \(-0.469259\pi\) |
0.372940 | + | 0.927856i | \(0.378350\pi\) | |||||||
\(200\) | −0.755750 | + | 0.654861i | −0.0534396 | + | 0.0463056i | ||||
\(201\) | −9.91285 | − | 17.1949i | −0.699199 | − | 1.21283i | ||||
\(202\) | 12.2854 | − | 3.60731i | 0.864395 | − | 0.253809i | ||||
\(203\) | 0.138418 | − | 0.303093i | 0.00971505 | − | 0.0212730i | ||||
\(204\) | −7.58061 | − | 0.365951i | −0.530749 | − | 0.0256217i | ||||
\(205\) | 6.88868 | + | 10.7190i | 0.481126 | + | 0.748647i | ||||
\(206\) | −4.85973 | −0.338593 | ||||||||
\(207\) | 12.8662 | − | 6.43902i | 0.894262 | − | 0.447543i | ||||
\(208\) | 6.20966 | 0.430563 | ||||||||
\(209\) | 3.05221 | + | 4.74933i | 0.211126 | + | 0.328518i | ||||
\(210\) | −0.207125 | − | 0.00999888i | −0.0142930 | − | 0.000689989i | ||||
\(211\) | −7.20722 | + | 15.7816i | −0.496165 | + | 1.08645i | 0.481532 | + | 0.876429i | \(0.340081\pi\) |
−0.977697 | + | 0.210022i | \(0.932647\pi\) | |||||||
\(212\) | 10.0503 | − | 2.95102i | 0.690255 | − | 0.202677i | ||||
\(213\) | −11.6863 | − | 20.2711i | −0.800731 | − | 1.38895i | ||||
\(214\) | −11.0874 | + | 9.60725i | −0.757916 | + | 0.656738i | ||||
\(215\) | 2.74932 | − | 0.395292i | 0.187502 | − | 0.0269587i | ||||
\(216\) | −5.19614 | − | 0.00993364i | −0.353553 | − | 0.000675899i | ||||
\(217\) | −0.127544 | − | 0.110517i | −0.00865825 | − | 0.00750241i | ||||
\(218\) | −13.5152 | − | 8.68570i | −0.915366 | − | 0.588270i | ||||
\(219\) | 1.99746 | − | 3.86847i | 0.134976 | − | 0.261407i | ||||
\(220\) | 1.38900 | − | 1.60299i | 0.0936463 | − | 0.108074i | ||||
\(221\) | −26.1071 | − | 7.66574i | −1.75615 | − | 0.515653i | ||||
\(222\) | −11.5129 | + | 2.78523i | −0.772695 | + | 0.186933i | ||||
\(223\) | 3.28997 | + | 3.79682i | 0.220313 | + | 0.254254i | 0.855137 | − | 0.518402i | \(-0.173473\pi\) |
−0.634824 | + | 0.772656i | \(0.718928\pi\) | |||||||
\(224\) | −0.0497348 | − | 0.108904i | −0.00332304 | − | 0.00727645i | ||||
\(225\) | 2.66826 | − | 1.37128i | 0.177884 | − | 0.0914187i | ||||
\(226\) | 8.79490 | + | 4.01650i | 0.585028 | + | 0.267173i | ||||
\(227\) | −0.286003 | + | 1.98919i | −0.0189827 | + | 0.132027i | −0.997109 | − | 0.0759843i | \(-0.975790\pi\) |
0.978126 | + | 0.208012i | \(0.0666992\pi\) | |||||||
\(228\) | −3.62562 | + | 2.84748i | −0.240113 | + | 0.188579i | ||||
\(229\) | − | 21.8330i | − | 1.44277i | −0.692535 | − | 0.721384i | \(-0.743506\pi\) | ||
0.692535 | − | 0.721384i | \(-0.256494\pi\) | |||||||
\(230\) | −4.73944 | − | 0.733310i | −0.312509 | − | 0.0483531i | ||||
\(231\) | 0.437871 | − | 0.0415301i | 0.0288098 | − | 0.00273248i | ||||
\(232\) | −2.34131 | + | 1.50467i | −0.153715 | + | 0.0987865i | ||||
\(233\) | −7.46742 | − | 1.07365i | −0.489207 | − | 0.0703373i | −0.106702 | − | 0.994291i | \(-0.534029\pi\) |
−0.382504 | + | 0.923954i | \(0.624938\pi\) | |||||||
\(234\) | −18.0982 | − | 4.41502i | −1.18312 | − | 0.288619i | ||||
\(235\) | 2.39294 | + | 8.14961i | 0.156098 | + | 0.531622i | ||||
\(236\) | −6.94176 | + | 3.17020i | −0.451870 | + | 0.206362i | ||||
\(237\) | −7.32233 | − | 6.99074i | −0.475636 | − | 0.454097i | ||||
\(238\) | 0.0746582 | + | 0.519259i | 0.00483937 | + | 0.0336586i | ||||
\(239\) | −2.44654 | + | 8.33216i | −0.158254 | + | 0.538962i | −1.00000 | 0.000911481i | \(-0.999710\pi\) | |
0.841746 | + | 0.539874i | \(0.181528\pi\) | |||||||
\(240\) | 1.41025 | + | 1.00559i | 0.0910310 | + | 0.0649104i | ||||
\(241\) | 15.0060 | − | 23.3498i | 0.966624 | − | 1.50410i | 0.106309 | − | 0.994333i | \(-0.466097\pi\) |
0.860315 | − | 0.509763i | \(-0.170267\pi\) | |||||||
\(242\) | 3.51476 | − | 5.46908i | 0.225938 | − | 0.351566i | ||||
\(243\) | 15.1373 | + | 3.72337i | 0.971055 | + | 0.238854i | ||||
\(244\) | −2.36033 | + | 8.03855i | −0.151105 | + | 0.514616i | ||||
\(245\) | −0.994164 | − | 6.91456i | −0.0635148 | − | 0.441755i | ||||
\(246\) | 15.2397 | − | 15.9626i | 0.971649 | − | 1.01774i | ||||
\(247\) | −15.0344 | + | 6.86598i | −0.956616 | + | 0.436872i | ||||
\(248\) | 0.397138 | + | 1.35253i | 0.0252183 | + | 0.0858855i | ||||
\(249\) | 13.9224 | + | 4.82853i | 0.882297 | + | 0.305996i | ||||
\(250\) | −0.989821 | − | 0.142315i | −0.0626018 | − | 0.00900078i | ||||
\(251\) | 2.23203 | − | 1.43444i | 0.140885 | − | 0.0905411i | −0.468300 | − | 0.883570i | \(-0.655133\pi\) |
0.609184 | + | 0.793029i | \(0.291497\pi\) | |||||||
\(252\) | 0.0675237 | + | 0.352765i | 0.00425359 | + | 0.0222221i | ||||
\(253\) | 10.1717 | + | 0.108925i | 0.639487 | + | 0.00684808i | ||||
\(254\) | − | 5.35065i | − | 0.335730i | ||||||
\(255\) | −4.68768 | − | 5.96869i | −0.293554 | − | 0.373774i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −7.67342 | − | 3.50433i | −0.478655 | − | 0.218594i | 0.161452 | − | 0.986881i | \(-0.448382\pi\) |
−0.640106 | + | 0.768286i | \(0.721110\pi\) | |||||||
\(258\) | −1.78519 | − | 4.46745i | −0.111141 | − | 0.278131i | ||||
\(259\) | 0.340122 | + | 0.744764i | 0.0211342 | + | 0.0462774i | ||||
\(260\) | 4.06646 | + | 4.69295i | 0.252191 | + | 0.291044i | ||||
\(261\) | 7.89364 | − | 2.72076i | 0.488604 | − | 0.168411i | ||||
\(262\) | 14.3080 | + | 4.20120i | 0.883950 | + | 0.259551i | ||||
\(263\) | −15.3640 | + | 17.7310i | −0.947386 | + | 1.09334i | 0.0481393 | + | 0.998841i | \(0.484671\pi\) |
−0.995525 | + | 0.0945005i | \(0.969875\pi\) | |||||||
\(264\) | −3.26431 | − | 1.68551i | −0.200905 | − | 0.103736i | ||||
\(265\) | 8.81176 | + | 5.66297i | 0.541302 | + | 0.347874i | ||||
\(266\) | 0.240829 | + | 0.208679i | 0.0147662 | + | 0.0127949i | ||||
\(267\) | −2.85438 | + | 14.7593i | −0.174685 | + | 0.903256i | ||||
\(268\) | 11.3424 | − | 1.63079i | 0.692847 | − | 0.0996163i | ||||
\(269\) | 5.95320 | − | 5.15848i | 0.362973 | − | 0.314518i | −0.454212 | − | 0.890894i | \(-0.650079\pi\) |
0.817185 | + | 0.576376i | \(0.195534\pi\) | |||||||
\(270\) | −3.39524 | − | 3.93349i | −0.206628 | − | 0.239384i | ||||
\(271\) | 8.83511 | − | 2.59422i | 0.536695 | − | 0.157588i | −0.00214250 | − | 0.999998i | \(-0.500682\pi\) |
0.538837 | + | 0.842410i | \(0.318864\pi\) | |||||||
\(272\) | 1.82025 | − | 3.98579i | 0.110369 | − | 0.241674i | ||||
\(273\) | −0.0620897 | + | 1.28618i | −0.00375784 | + | 0.0778430i | ||||
\(274\) | −2.97129 | − | 4.62342i | −0.179502 | − | 0.279311i | ||||
\(275\) | 2.12106 | 0.127905 | ||||||||
\(276\) | 0.695730 | + | 8.27744i | 0.0418780 | + | 0.498243i | ||||
\(277\) | −4.72243 | −0.283743 | −0.141872 | − | 0.989885i | \(-0.545312\pi\) | ||||
−0.141872 | + | 0.989885i | \(0.545312\pi\) | |||||||
\(278\) | 9.06603 | + | 14.1070i | 0.543744 | + | 0.846082i | ||||
\(279\) | −0.195834 | − | 4.22434i | −0.0117243 | − | 0.252905i | ||||
\(280\) | 0.0497348 | − | 0.108904i | 0.00297222 | − | 0.00650826i | ||||
\(281\) | −20.3087 | + | 5.96319i | −1.21152 | + | 0.355734i | −0.824246 | − | 0.566232i | \(-0.808401\pi\) |
−0.387272 | + | 0.921965i | \(0.626583\pi\) | |||||||
\(282\) | 12.7452 | − | 7.34760i | 0.758964 | − | 0.437543i | ||||
\(283\) | −6.72286 | + | 5.82539i | −0.399633 | + | 0.346284i | −0.831374 | − | 0.555714i | \(-0.812445\pi\) |
0.431741 | + | 0.901998i | \(0.357900\pi\) | |||||||
\(284\) | 13.3716 | − | 1.92254i | 0.793457 | − | 0.114082i | ||||
\(285\) | −4.52626 | − | 0.875357i | −0.268113 | − | 0.0518517i | ||||
\(286\) | −9.95402 | − | 8.62521i | −0.588594 | − | 0.510019i | ||||
\(287\) | −1.28331 | − | 0.824734i | −0.0757515 | − | 0.0486825i | ||||
\(288\) | 1.11854 | − | 2.78368i | 0.0659104 | − | 0.164030i | ||||
\(289\) | −1.44061 | + | 1.66255i | −0.0847418 | + | 0.0977972i | ||||
\(290\) | −2.67039 | − | 0.784097i | −0.156811 | − | 0.0460438i | ||||
\(291\) | 0.0227384 | + | 0.0939903i | 0.00133295 | + | 0.00550981i | ||||
\(292\) | 1.64607 | + | 1.89967i | 0.0963290 | + | 0.111170i | ||||
\(293\) | −6.92797 | − | 15.1701i | −0.404736 | − | 0.886249i | −0.996768 | − | 0.0803340i | \(-0.974401\pi\) |
0.592032 | − | 0.805915i | \(-0.298326\pi\) | |||||||
\(294\) | −11.2357 | + | 4.48978i | −0.655278 | + | 0.261849i | ||||
\(295\) | −6.94176 | − | 3.17020i | −0.404165 | − | 0.184576i | ||||
\(296\) | 0.973252 | − | 6.76912i | 0.0565691 | − | 0.393447i | ||||
\(297\) | 8.31557 | + | 7.23336i | 0.482518 | + | 0.419722i | ||||
\(298\) | 10.5150i | 0.609120i | ||||||||
\(299\) | −4.55361 | + | 29.4303i | −0.263342 | + | 1.70200i | ||||
\(300\) | 0.163543 | + | 1.72431i | 0.00944217 | + | 0.0995532i | ||||
\(301\) | −0.279752 | + | 0.179785i | −0.0161246 | + | 0.0103627i | ||||
\(302\) | 3.57870 | + | 0.514539i | 0.205931 | + | 0.0296084i | ||||
\(303\) | 7.26680 | − | 20.9528i | 0.417467 | − | 1.20371i | ||||
\(304\) | −0.749876 | − | 2.55384i | −0.0430084 | − | 0.146473i | ||||
\(305\) | −7.62082 | + | 3.48031i | −0.436367 | + | 0.199282i | ||||
\(306\) | −8.13905 | + | 10.3225i | −0.465278 | + | 0.590100i | ||||
\(307\) | 2.96643 | + | 20.6319i | 0.169303 | + | 1.17753i | 0.880330 | + | 0.474362i | \(0.157321\pi\) |
−0.711027 | + | 0.703165i | \(0.751770\pi\) | |||||||
\(308\) | −0.0715431 | + | 0.243653i | −0.00407655 | + | 0.0138834i | ||||
\(309\) | −4.88688 | + | 6.85341i | −0.278005 | + | 0.389877i | ||||
\(310\) | −0.762102 | + | 1.18585i | −0.0432845 | + | 0.0673519i | ||||
\(311\) | −5.00021 | + | 7.78048i | −0.283536 | + | 0.441191i | −0.953584 | − | 0.301127i | \(-0.902637\pi\) |
0.670048 | + | 0.742318i | \(0.266274\pi\) | |||||||
\(312\) | 6.24435 | − | 8.75715i | 0.353517 | − | 0.495776i | ||||
\(313\) | −2.65623 | + | 9.04628i | −0.150139 | + | 0.511326i | −0.999874 | − | 0.0158842i | \(-0.994944\pi\) |
0.849735 | + | 0.527210i | \(0.176762\pi\) | |||||||
\(314\) | 1.85187 | + | 12.8800i | 0.104507 | + | 0.726861i | ||||
\(315\) | −0.222383 | + | 0.282043i | −0.0125299 | + | 0.0158913i | ||||
\(316\) | 5.31667 | − | 2.42804i | 0.299086 | − | 0.136588i | ||||
\(317\) | 3.84068 | + | 13.0802i | 0.215714 | + | 0.734654i | 0.994253 | + | 0.107058i | \(0.0341430\pi\) |
−0.778539 | + | 0.627597i | \(0.784039\pi\) | |||||||
\(318\) | 5.94474 | − | 17.1409i | 0.333365 | − | 0.961211i | ||||
\(319\) | 5.84309 | + | 0.840109i | 0.327150 | + | 0.0470371i | ||||
\(320\) | −0.841254 | + | 0.540641i | −0.0470275 | + | 0.0302227i | ||||
\(321\) | 2.39929 | + | 25.2968i | 0.133915 | + | 1.41193i | ||||
\(322\) | 0.552614 | − | 0.155854i | 0.0307960 | − | 0.00868542i | ||||
\(323\) | 11.6628i | 0.648934i | ||||||||
\(324\) | −5.23918 | + | 7.31785i | −0.291066 | + | 0.406547i | ||||
\(325\) | −0.883727 | + | 6.14646i | −0.0490203 | + | 0.340944i | ||||
\(326\) | −1.11253 | − | 0.508076i | −0.0616174 | − | 0.0281397i | ||||
\(327\) | −25.8397 | + | 10.3256i | −1.42894 | + | 0.571004i | ||||
\(328\) | 5.29309 | + | 11.5903i | 0.292262 | + | 0.639965i | ||||
\(329\) | −0.665919 | − | 0.768512i | −0.0367133 | − | 0.0423694i | ||||
\(330\) | −0.863852 | − | 3.57078i | −0.0475535 | − | 0.196565i | ||||
\(331\) | −29.9560 | − | 8.79586i | −1.64653 | − | 0.483464i | −0.678562 | − | 0.734543i | \(-0.737397\pi\) |
−0.967967 | + | 0.251079i | \(0.919215\pi\) | |||||||
\(332\) | −5.57143 | + | 6.42977i | −0.305772 | + | 0.352879i | ||||
\(333\) | −7.64936 | + | 19.0368i | −0.419182 | + | 1.04321i | ||||
\(334\) | −6.64233 | − | 4.26877i | −0.363452 | − | 0.233577i | ||||
\(335\) | 8.66015 | + | 7.50407i | 0.473155 | + | 0.409991i | ||||
\(336\) | −0.203594 | − | 0.0393741i | −0.0111070 | − | 0.00214803i | ||||
\(337\) | −13.1609 | + | 1.89226i | −0.716922 | + | 0.103078i | −0.491115 | − | 0.871094i | \(-0.663411\pi\) |
−0.225806 | + | 0.974172i | \(0.572502\pi\) | |||||||
\(338\) | 19.3169 | − | 16.7382i | 1.05070 | − | 0.910436i | ||||
\(339\) | 14.5083 | − | 8.36404i | 0.787982 | − | 0.454272i | ||||
\(340\) | 4.20427 | − | 1.23449i | 0.228009 | − | 0.0669494i | ||||
\(341\) | 1.24205 | − | 2.71971i | 0.0672608 | − | 0.147281i | ||||
\(342\) | 0.369775 | + | 7.97641i | 0.0199951 | + | 0.431315i | ||||
\(343\) | 0.905253 | + | 1.40860i | 0.0488791 | + | 0.0760573i | ||||
\(344\) | 2.77759 | 0.149758 | ||||||||
\(345\) | −5.80006 | + | 5.94637i | −0.312265 | + | 0.320142i | ||||
\(346\) | 6.03507 | 0.324447 | ||||||||
\(347\) | 5.23677 | + | 8.14857i | 0.281124 | + | 0.437438i | 0.952886 | − | 0.303330i | \(-0.0980983\pi\) |
−0.671761 | + | 0.740768i | \(0.734462\pi\) | |||||||
\(348\) | −0.232438 | + | 4.81491i | −0.0124600 | + | 0.258106i | ||||
\(349\) | 5.11188 | − | 11.1935i | 0.273633 | − | 0.599172i | −0.722066 | − | 0.691824i | \(-0.756807\pi\) |
0.995699 | + | 0.0926523i | \(0.0295345\pi\) | |||||||
\(350\) | 0.114873 | − | 0.0337299i | 0.00614024 | − | 0.00180294i | ||||
\(351\) | −24.4256 | + | 21.0833i | −1.30374 | + | 1.12534i | ||||
\(352\) | 1.60299 | − | 1.38900i | 0.0854396 | − | 0.0740339i | ||||
\(353\) | −19.5945 | + | 2.81727i | −1.04291 | + | 0.149948i | −0.642420 | − | 0.766352i | \(-0.722070\pi\) |
−0.400491 | + | 0.916301i | \(0.631161\pi\) | |||||||
\(354\) | −2.50979 | + | 12.9775i | −0.133394 | + | 0.689746i | ||||
\(355\) | 10.2095 | + | 8.84656i | 0.541863 | + | 0.469527i | ||||
\(356\) | −7.30140 | − | 4.69232i | −0.386973 | − | 0.248693i | ||||
\(357\) | 0.807358 | + | 0.416874i | 0.0427299 | + | 0.0220633i | ||||
\(358\) | 8.37856 | − | 9.66937i | 0.442820 | − | 0.511042i | ||||
\(359\) | 5.39953 | + | 1.58545i | 0.284976 | + | 0.0836766i | 0.421097 | − | 0.907016i | \(-0.361645\pi\) |
−0.136120 | + | 0.990692i | \(0.543463\pi\) | |||||||
\(360\) | 2.83625 | − | 0.977590i | 0.149484 | − | 0.0515235i | ||||
\(361\) | −7.80304 | − | 9.00518i | −0.410686 | − | 0.473957i | ||||
\(362\) | −9.05115 | − | 19.8192i | −0.475718 | − | 1.04168i | ||||
\(363\) | −4.17835 | − | 10.4563i | −0.219306 | − | 0.548814i | ||||
\(364\) | −0.676257 | − | 0.308836i | −0.0354455 | − | 0.0161874i | ||||
\(365\) | −0.357726 | + | 2.48804i | −0.0187242 | + | 0.130230i | ||||
\(366\) | 8.96282 | + | 11.4121i | 0.468494 | + | 0.596521i | ||||
\(367\) | 29.7868i | 1.55486i | 0.628970 | + | 0.777429i | \(0.283477\pi\) | ||||
−0.628970 | + | 0.777429i | \(0.716523\pi\) | |||||||
\(368\) | −4.58683 | − | 1.40034i | −0.239105 | − | 0.0729977i | ||||
\(369\) | −7.18630 | − | 37.5435i | −0.374104 | − | 1.95444i | ||||
\(370\) | 5.75310 | − | 3.69729i | 0.299089 | − | 0.192213i | ||||
\(371\) | −1.24128 | − | 0.178469i | −0.0644441 | − | 0.00926567i | ||||
\(372\) | 2.30675 | + | 0.800021i | 0.119600 | + | 0.0414792i | ||||
\(373\) | 6.64516 | + | 22.6313i | 0.344073 | + | 1.17181i | 0.931868 | + | 0.362797i | \(0.118178\pi\) |
−0.587795 | + | 0.809010i | \(0.700004\pi\) | |||||||
\(374\) | −8.45411 | + | 3.86086i | −0.437151 | + | 0.199640i | ||||
\(375\) | −1.19605 | + | 1.25278i | −0.0617638 | + | 0.0646934i | ||||
\(376\) | 1.20877 | + | 8.40721i | 0.0623377 | + | 0.433569i | ||||
\(377\) | −4.86898 | + | 16.5822i | −0.250765 | + | 0.854028i | ||||
\(378\) | 0.565386 | + | 0.259511i | 0.0290803 | + | 0.0133478i | ||||
\(379\) | −18.6993 | + | 29.0968i | −0.960521 | + | 1.49460i | −0.0939310 | + | 0.995579i | \(0.529943\pi\) |
−0.866590 | + | 0.499021i | \(0.833693\pi\) | |||||||
\(380\) | 1.43900 | − | 2.23913i | 0.0738192 | − | 0.114865i | ||||
\(381\) | −7.54574 | − | 5.38055i | −0.386580 | − | 0.275654i | ||||
\(382\) | −3.22180 | + | 10.9725i | −0.164842 | + | 0.561400i | ||||
\(383\) | 0.383413 | + | 2.66669i | 0.0195915 | + | 0.136262i | 0.997270 | − | 0.0738465i | \(-0.0235275\pi\) |
−0.977678 | + | 0.210108i | \(0.932618\pi\) | |||||||
\(384\) | 1.25278 | + | 1.19605i | 0.0639308 | + | 0.0610357i | ||||
\(385\) | −0.230992 | + | 0.105490i | −0.0117724 | + | 0.00537629i | ||||
\(386\) | 2.77148 | + | 9.43880i | 0.141065 | + | 0.480422i | ||||
\(387\) | −8.09537 | − | 1.97484i | −0.411511 | − | 0.100387i | ||||
\(388\) | −0.0552625 | − | 0.00794554i | −0.00280553 | − | 0.000403374i | ||||
\(389\) | 10.7704 | − | 6.92172i | 0.546082 | − | 0.350945i | −0.238332 | − | 0.971184i | \(-0.576601\pi\) |
0.784413 | + | 0.620238i | \(0.212964\pi\) | |||||||
\(390\) | 10.7074 | − | 1.01555i | 0.542190 | − | 0.0514242i | ||||
\(391\) | 17.5556 | + | 11.5498i | 0.887825 | + | 0.584098i | ||||
\(392\) | − | 6.98567i | − | 0.352829i | ||||||
\(393\) | 20.3126 | − | 15.9531i | 1.02464 | − | 0.804727i | ||||
\(394\) | −2.34958 | + | 16.3417i | −0.118370 | + | 0.823281i | ||||
\(395\) | 5.31667 | + | 2.42804i | 0.267510 | + | 0.122168i | ||||
\(396\) | −5.65953 | + | 2.90857i | −0.284402 | + | 0.146161i | ||||
\(397\) | −14.1320 | − | 30.9448i | −0.709266 | − | 1.55307i | −0.828363 | − | 0.560192i | \(-0.810727\pi\) |
0.119097 | − | 0.992883i | \(-0.462000\pi\) | |||||||
\(398\) | 4.38056 | + | 5.05544i | 0.219578 | + | 0.253406i | ||||
\(399\) | 0.536464 | − | 0.129783i | 0.0268568 | − | 0.00649726i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | 22.8879 | − | 26.4141i | 1.14297 | − | 1.31906i | 0.202457 | − | 0.979291i | \(-0.435107\pi\) |
0.940511 | − | 0.339764i | \(-0.110347\pi\) | |||||||
\(402\) | 9.10594 | − | 17.6355i | 0.454163 | − | 0.879577i | ||||
\(403\) | 7.36375 | + | 4.73239i | 0.366814 | + | 0.235737i | ||||
\(404\) | 9.67662 | + | 8.38484i | 0.481430 | + | 0.417161i | ||||
\(405\) | −8.96140 | + | 0.832665i | −0.445295 | + | 0.0413754i | ||||
\(406\) | 0.329813 | − | 0.0474199i | 0.0163683 | − | 0.00235341i | ||||
\(407\) | −10.9624 | + | 9.49898i | −0.543386 | + | 0.470847i | ||||
\(408\) | −3.79053 | − | 6.57507i | −0.187659 | − | 0.325514i | ||||
\(409\) | 12.2538 | − | 3.59804i | 0.605912 | − | 0.177912i | 0.0356357 | − | 0.999365i | \(-0.488654\pi\) |
0.570276 | + | 0.821453i | \(0.306836\pi\) | |||||||
\(410\) | −5.29309 | + | 11.5903i | −0.261407 | + | 0.572402i | ||||
\(411\) | −9.50806 | − | 0.458997i | −0.468998 | − | 0.0226407i | ||||
\(412\) | −2.62737 | − | 4.08826i | −0.129441 | − | 0.201414i | ||||
\(413\) | 0.913654 | 0.0449580 | ||||||||
\(414\) | 12.3728 | + | 7.34253i | 0.608092 | + | 0.360866i | ||||
\(415\) | −8.50780 | −0.417632 | ||||||||
\(416\) | 3.35720 | + | 5.22390i | 0.164600 | + | 0.256123i | ||||
\(417\) | 29.0110 | + | 1.40050i | 1.42068 | + | 0.0685826i | ||||
\(418\) | −2.34524 | + | 5.13536i | −0.114710 | + | 0.251179i | ||||
\(419\) | 4.31541 | − | 1.26712i | 0.210822 | − | 0.0619028i | −0.174616 | − | 0.984637i | \(-0.555869\pi\) |
0.385438 | + | 0.922734i | \(0.374050\pi\) | |||||||
\(420\) | −0.103569 | − | 0.179651i | −0.00505364 | − | 0.00876605i | ||||
\(421\) | −8.52085 | + | 7.38336i | −0.415281 | + | 0.359843i | −0.837300 | − | 0.546744i | \(-0.815867\pi\) |
0.422019 | + | 0.906587i | \(0.361322\pi\) | |||||||
\(422\) | −17.1728 | + | 2.46908i | −0.835961 | + | 0.120193i | ||||
\(423\) | 2.45445 | − | 25.3625i | 0.119339 | − | 1.23317i | ||||
\(424\) | 7.91614 | + | 6.85937i | 0.384442 | + | 0.333121i | ||||
\(425\) | 3.68618 | + | 2.36896i | 0.178806 | + | 0.114912i | ||||
\(426\) | 10.7350 | − | 20.7905i | 0.520114 | − | 1.00730i | ||||
\(427\) | 0.656845 | − | 0.758040i | 0.0317870 | − | 0.0366841i | ||||
\(428\) | −14.0764 | − | 4.13321i | −0.680409 | − | 0.199786i | ||||
\(429\) | −22.1733 | + | 5.36423i | −1.07054 | + | 0.258987i | ||||
\(430\) | 1.81893 | + | 2.09916i | 0.0877168 | + | 0.101231i | ||||
\(431\) | 11.8136 | + | 25.8683i | 0.569043 | + | 1.24603i | 0.947305 | + | 0.320332i | \(0.103794\pi\) |
−0.378263 | + | 0.925698i | \(0.623478\pi\) | |||||||
\(432\) | −2.80089 | − | 4.37664i | −0.134758 | − | 0.210571i | ||||
\(433\) | 13.9869 | + | 6.38760i | 0.672167 | + | 0.306968i | 0.722105 | − | 0.691784i | \(-0.243175\pi\) |
−0.0499375 | + | 0.998752i | \(0.515902\pi\) | |||||||
\(434\) | 0.0240177 | − | 0.167047i | 0.00115289 | − | 0.00801851i | ||||
\(435\) | −3.79108 | + | 2.97743i | −0.181768 | + | 0.142757i | ||||
\(436\) | − | 16.0656i | − | 0.769401i | ||||||
\(437\) | 12.6537 | − | 1.68123i | 0.605307 | − | 0.0804242i | ||||
\(438\) | 4.33427 | − | 0.411085i | 0.207099 | − | 0.0196424i | ||||
\(439\) | −7.54639 | + | 4.84977i | −0.360170 | + | 0.231467i | −0.708193 | − | 0.706019i | \(-0.750489\pi\) |
0.348023 | + | 0.937486i | \(0.386853\pi\) | |||||||
\(440\) | 2.09947 | + | 0.301858i | 0.100088 | + | 0.0143905i | ||||
\(441\) | −4.96675 | + | 20.3599i | −0.236512 | + | 0.969521i | ||||
\(442\) | −7.66574 | − | 26.1071i | −0.364622 | − | 1.24179i | ||||
\(443\) | −11.4770 | + | 5.24135i | −0.545287 | + | 0.249024i | −0.668959 | − | 0.743299i | \(-0.733260\pi\) |
0.123672 | + | 0.992323i | \(0.460533\pi\) | |||||||
\(444\) | −8.56743 | − | 8.17946i | −0.406592 | − | 0.388180i | ||||
\(445\) | −1.23518 | − | 8.59085i | −0.0585530 | − | 0.407245i | ||||
\(446\) | −1.41540 | + | 4.82042i | −0.0670212 | + | 0.228253i | ||||
\(447\) | 14.8288 | + | 10.5738i | 0.701378 | + | 0.500123i | ||||
\(448\) | 0.0647272 | − | 0.100717i | 0.00305807 | − | 0.00475845i | ||||
\(449\) | −9.09648 | + | 14.1544i | −0.429290 | + | 0.667988i | −0.986756 | − | 0.162212i | \(-0.948137\pi\) |
0.557466 | + | 0.830199i | \(0.311774\pi\) | |||||||
\(450\) | 2.59616 | + | 1.50331i | 0.122384 | + | 0.0708667i | ||||
\(451\) | 7.61407 | − | 25.9312i | 0.358533 | − | 1.22105i | ||||
\(452\) | 1.37599 | + | 9.57022i | 0.0647211 | + | 0.450145i | ||||
\(453\) | 4.32432 | − | 4.52943i | 0.203174 | − | 0.212811i | ||||
\(454\) | −1.82804 | + | 0.834838i | −0.0857941 | + | 0.0391809i | ||||
\(455\) | −0.209451 | − | 0.713325i | −0.00981922 | − | 0.0334412i | ||||
\(456\) | −4.35562 | − | 1.51060i | −0.203970 | − | 0.0707404i | ||||
\(457\) | −17.6570 | − | 2.53870i | −0.825962 | − | 0.118755i | −0.283645 | − | 0.958929i | \(-0.591544\pi\) |
−0.542317 | + | 0.840174i | \(0.682453\pi\) | |||||||
\(458\) | 18.3671 | − | 11.8038i | 0.858240 | − | 0.551557i | ||||
\(459\) | 6.37280 | + | 21.8583i | 0.297457 | + | 1.02026i | ||||
\(460\) | −1.94543 | − | 4.38352i | −0.0907063 | − | 0.204383i | ||||
\(461\) | − | 15.9618i | − | 0.743415i | −0.928350 | − | 0.371707i | \(-0.878772\pi\) | ||
0.928350 | − | 0.371707i | \(-0.121228\pi\) | |||||||
\(462\) | 0.271669 | + | 0.345908i | 0.0126392 | + | 0.0160931i | ||||
\(463\) | −4.46497 | + | 31.0546i | −0.207505 | + | 1.44323i | 0.573758 | + | 0.819025i | \(0.305485\pi\) |
−0.781263 | + | 0.624203i | \(0.785424\pi\) | |||||||
\(464\) | −2.53162 | − | 1.15615i | −0.117528 | − | 0.0536730i | ||||
\(465\) | 0.905986 | + | 2.26723i | 0.0420141 | + | 0.105140i | ||||
\(466\) | −3.13398 | − | 6.86245i | −0.145179 | − | 0.317897i | ||||
\(467\) | −19.6588 | − | 22.6875i | −0.909702 | − | 1.04985i | −0.998551 | − | 0.0538073i | \(-0.982864\pi\) |
0.0888491 | − | 0.996045i | \(-0.471681\pi\) | |||||||
\(468\) | −6.07050 | − | 17.6122i | −0.280609 | − | 0.814122i | ||||
\(469\) | −1.31634 | − | 0.386512i | −0.0607828 | − | 0.0178474i | ||||
\(470\) | −5.56216 | + | 6.41908i | −0.256563 | + | 0.296090i | ||||
\(471\) | 20.0262 | + | 10.3404i | 0.922759 | + | 0.476460i | ||||
\(472\) | −6.41994 | − | 4.12584i | −0.295502 | − | 0.189907i | ||||
\(473\) | −4.45245 | − | 3.85807i | −0.204724 | − | 0.177394i | ||||
\(474\) | 1.92223 | − | 9.93941i | 0.0882912 | − | 0.456532i | ||||
\(475\) | 2.63457 | − | 0.378794i | 0.120882 | − | 0.0173802i | ||||
\(476\) | −0.396465 | + | 0.343539i | −0.0181719 | + | 0.0157461i | ||||
\(477\) | −18.1949 | − | 25.6202i | −0.833086 | − | 1.17307i | ||||
\(478\) | −8.33216 | + | 2.44654i | −0.381104 | + | 0.111902i | ||||
\(479\) | 7.81400 | − | 17.1103i | 0.357031 | − | 0.781788i | −0.642844 | − | 0.765997i | \(-0.722246\pi\) |
0.999875 | − | 0.0157917i | \(-0.00502687\pi\) | |||||||
\(480\) | −0.0835168 | + | 1.73004i | −0.00381200 | + | 0.0789650i | ||||
\(481\) | −22.9589 | − | 35.7248i | −1.04684 | − | 1.62891i | ||||
\(482\) | 27.7560 | 1.26425 | ||||||||
\(483\) | 0.335909 | − | 0.936047i | 0.0152844 | − | 0.0425916i | ||||
\(484\) | 6.50111 | 0.295505 | ||||||||
\(485\) | −0.0301844 | − | 0.0469678i | −0.00137060 | − | 0.00213270i | ||||
\(486\) | 5.05152 | + | 14.7473i | 0.229142 | + | 0.668950i | ||||
\(487\) | 0.725578 | − | 1.58879i | 0.0328791 | − | 0.0719952i | −0.892480 | − | 0.451087i | \(-0.851036\pi\) |
0.925359 | + | 0.379092i | \(0.123764\pi\) | |||||||
\(488\) | −8.03855 | + | 2.36033i | −0.363888 | + | 0.106847i | ||||
\(489\) | −1.83526 | + | 1.05803i | −0.0829932 | + | 0.0478457i | ||||
\(490\) | 5.27941 | − | 4.57464i | 0.238500 | − | 0.206661i | ||||
\(491\) | 2.47002 | − | 0.355135i | 0.111470 | − | 0.0160270i | −0.0863539 | − | 0.996265i | \(-0.527522\pi\) |
0.197824 | + | 0.980238i | \(0.436612\pi\) | |||||||
\(492\) | 21.6678 | + | 4.19044i | 0.976859 | + | 0.188920i | ||||
\(493\) | 9.21637 | + | 7.98603i | 0.415084 | + | 0.359673i | ||||
\(494\) | −13.9042 | − | 8.93571i | −0.625581 | − | 0.402037i | ||||
\(495\) | −5.90435 | − | 2.37248i | −0.265381 | − | 0.106635i | ||||
\(496\) | −0.923109 | + | 1.06532i | −0.0414488 | + | 0.0478345i | ||||
\(497\) | −1.55183 | − | 0.455660i | −0.0696093 | − | 0.0204391i | ||||
\(498\) | 3.46500 | + | 14.3228i | 0.155271 | + | 0.641819i | ||||
\(499\) | 6.71830 | + | 7.75333i | 0.300752 | + | 0.347087i | 0.885930 | − | 0.463818i | \(-0.153521\pi\) |
−0.585178 | + | 0.810905i | \(0.698975\pi\) | |||||||
\(500\) | −0.415415 | − | 0.909632i | −0.0185779 | − | 0.0406800i | ||||
\(501\) | −12.6995 | + | 5.07471i | −0.567370 | + | 0.226721i | ||||
\(502\) | 2.41346 | + | 1.10219i | 0.107718 | + | 0.0491931i | ||||
\(503\) | −2.49129 | + | 17.3273i | −0.111081 | + | 0.772585i | 0.855791 | + | 0.517322i | \(0.173071\pi\) |
−0.966872 | + | 0.255263i | \(0.917838\pi\) | |||||||
\(504\) | −0.260259 | + | 0.247524i | −0.0115928 | + | 0.0110256i | ||||
\(505\) | 12.8040i | 0.569771i | ||||||||
\(506\) | 5.40758 | + | 8.61583i | 0.240396 | + | 0.383021i | ||||
\(507\) | −4.18014 | − | 44.0732i | −0.185647 | − | 1.95736i | ||||
\(508\) | 4.50126 | − | 2.89278i | 0.199711 | − | 0.128346i | ||||
\(509\) | −37.4827 | − | 5.38920i | −1.66139 | − | 0.238872i | −0.753309 | − | 0.657666i | \(-0.771544\pi\) |
−0.908081 | + | 0.418794i | \(0.862453\pi\) | |||||||
\(510\) | 2.48683 | − | 7.17044i | 0.110119 | − | 0.317513i | ||||
\(511\) | −0.0847841 | − | 0.288748i | −0.00375063 | − | 0.0127735i | ||||
\(512\) | −0.909632 | + | 0.415415i | −0.0402004 | + | 0.0183589i | ||||
\(513\) | 11.6205 | + | 7.49950i | 0.513060 | + | 0.331111i | ||||
\(514\) | −1.20053 | − | 8.34987i | −0.0529531 | − | 0.368297i | ||||
\(515\) | 1.36914 | − | 4.66287i | 0.0603317 | − | 0.205471i | ||||
\(516\) | 2.79311 | − | 3.91708i | 0.122960 | − | 0.172440i | ||||
\(517\) | 9.73994 | − | 15.1556i | 0.428362 | − | 0.666545i | ||||
\(518\) | −0.442651 | + | 0.688779i | −0.0194490 | + | 0.0302632i | ||||
\(519\) | 6.06879 | − | 8.51093i | 0.266390 | − | 0.373589i | ||||
\(520\) | −1.74946 | + | 5.95813i | −0.0767191 | + | 0.261281i | ||||
\(521\) | 2.49339 | + | 17.3419i | 0.109238 | + | 0.759764i | 0.968641 | + | 0.248465i | \(0.0799262\pi\) |
−0.859403 | + | 0.511298i | \(0.829165\pi\) | |||||||
\(522\) | 6.55647 | + | 5.16960i | 0.286969 | + | 0.226267i | ||||
\(523\) | 17.4964 | − | 7.99032i | 0.765062 | − | 0.349392i | 0.00563464 | − | 0.999984i | \(-0.498206\pi\) |
0.759427 | + | 0.650592i | \(0.225479\pi\) | |||||||
\(524\) | 4.20120 | + | 14.3080i | 0.183530 | + | 0.625047i | ||||
\(525\) | 0.0679478 | − | 0.195918i | 0.00296548 | − | 0.00855057i | ||||
\(526\) | −23.2227 | − | 3.33892i | −1.01256 | − | 0.145584i | ||||
\(527\) | 5.19613 | − | 3.33935i | 0.226347 | − | 0.145464i | ||||
\(528\) | −0.346885 | − | 3.65737i | −0.0150962 | − | 0.159167i | ||||
\(529\) | 10.0004 | − | 20.7121i | 0.434799 | − | 0.900527i | ||||
\(530\) | 10.4746i | 0.454986i | ||||||||
\(531\) | 15.7777 | + | 16.5894i | 0.684692 | + | 0.719920i | ||||
\(532\) | −0.0453503 | + | 0.315419i | −0.00196619 | + | 0.0136751i | ||||
\(533\) | 71.9716 | + | 32.8683i | 3.11743 | + | 1.42368i | ||||
\(534\) | −13.9595 | + | 5.57823i | −0.604088 | + | 0.241394i | ||||
\(535\) | −6.09442 | − | 13.3449i | −0.263485 | − | 0.576951i | ||||
\(536\) | 7.50407 | + | 8.66015i | 0.324126 | + | 0.374062i | ||||
\(537\) | −5.21083 | − | 21.5392i | −0.224864 | − | 0.929486i | ||||
\(538\) | 7.55813 | + | 2.21927i | 0.325854 | + | 0.0956794i | ||||
\(539\) | −9.70308 | + | 11.1980i | −0.417941 | + | 0.482330i | ||||
\(540\) | 1.47345 | − | 4.98286i | 0.0634074 | − | 0.214428i | ||||
\(541\) | −2.37716 | − | 1.52771i | −0.102202 | − | 0.0656814i | 0.488541 | − | 0.872541i | \(-0.337529\pi\) |
−0.590744 | + | 0.806859i | \(0.701166\pi\) | |||||||
\(542\) | 6.95902 | + | 6.03002i | 0.298915 | + | 0.259012i | ||||
\(543\) | −37.0517 | − | 7.16563i | −1.59004 | − | 0.307507i | ||||
\(544\) | 4.33717 | − | 0.623590i | 0.185954 | − | 0.0267362i | ||||
\(545\) | 12.1415 | − | 10.5207i | 0.520087 | − | 0.450658i | ||||
\(546\) | −1.11557 | + | 0.643127i | −0.0477420 | + | 0.0275233i | ||||
\(547\) | 25.6662 | − | 7.53627i | 1.09741 | − | 0.322228i | 0.317586 | − | 0.948230i | \(-0.397128\pi\) |
0.779822 | + | 0.626002i | \(0.215310\pi\) | |||||||
\(548\) | 2.28307 | − | 4.99922i | 0.0975278 | − | 0.213556i | ||||
\(549\) | 25.1068 | − | 1.16391i | 1.07153 | − | 0.0496747i | ||||
\(550\) | 1.14673 | + | 1.78435i | 0.0488968 | + | 0.0760849i | ||||
\(551\) | 7.40773 | 0.315580 | ||||||||
\(552\) | −6.58728 | + | 5.06041i | −0.280373 | + | 0.215385i | ||||
\(553\) | −0.699764 | −0.0297570 | ||||||||
\(554\) | −2.55314 | − | 3.97276i | −0.108473 | − | 0.168787i | ||||
\(555\) | 0.571148 | − | 11.8312i | 0.0242439 | − | 0.502208i | ||||
\(556\) | −6.96611 | + | 15.2537i | −0.295429 | + | 0.646899i | ||||
\(557\) | −33.3971 | + | 9.80628i | −1.41508 | + | 0.415505i | −0.897835 | − | 0.440331i | \(-0.854861\pi\) |
−0.517246 | + | 0.855837i | \(0.673043\pi\) | |||||||
\(558\) | 3.44787 | − | 2.44860i | 0.145960 | − | 0.103657i | ||||
\(559\) | 13.0351 | − | 11.2950i | 0.551325 | − | 0.477726i | ||||
\(560\) | 0.118504 | − | 0.0170384i | 0.00500773 | − | 0.000720003i | ||||
\(561\) | −3.05657 | + | 15.8048i | −0.129049 | + | 0.667279i | ||||
\(562\) | −15.9963 | − | 13.8609i | −0.674763 | − | 0.584685i | ||||
\(563\) | 9.45898 | + | 6.07892i | 0.398649 | + | 0.256196i | 0.724570 | − | 0.689201i | \(-0.242038\pi\) |
−0.325922 | + | 0.945397i | \(0.605675\pi\) | |||||||
\(564\) | 13.0718 | + | 6.74951i | 0.550420 | + | 0.284206i | ||||
\(565\) | −6.33161 | + | 7.30707i | −0.266373 | + | 0.307411i | ||||
\(566\) | −8.53529 | − | 2.50619i | −0.358765 | − | 0.105343i | ||||
\(567\) | 0.934519 | − | 0.536374i | 0.0392461 | − | 0.0225256i | ||||
\(568\) | 8.84656 | + | 10.2095i | 0.371194 | + | 0.428380i | ||||
\(569\) | 3.14252 | + | 6.88117i | 0.131741 | + | 0.288474i | 0.963994 | − | 0.265923i | \(-0.0856765\pi\) |
−0.832253 | + | 0.554396i | \(0.812949\pi\) | |||||||
\(570\) | −1.71068 | − | 4.28099i | −0.0716527 | − | 0.179311i | ||||
\(571\) | 20.6224 | + | 9.41793i | 0.863020 | + | 0.394128i | 0.797209 | − | 0.603704i | \(-0.206309\pi\) |
0.0658116 | + | 0.997832i | \(0.479036\pi\) | |||||||
\(572\) | 1.87444 | − | 13.0370i | 0.0783742 | − | 0.545104i | ||||
\(573\) | 12.2341 | + | 15.5773i | 0.511085 | + | 0.650751i | ||||
\(574\) | − | 1.52548i | − | 0.0636721i | ||||||
\(575\) | 2.03886 | − | 4.34086i | 0.0850263 | − | 0.181026i | ||||
\(576\) | 2.94651 | − | 0.563999i | 0.122771 | − | 0.0235000i | ||||
\(577\) | −31.2320 | + | 20.0716i | −1.30021 | + | 0.835592i | −0.993234 | − | 0.116126i | \(-0.962952\pi\) |
−0.306972 | + | 0.951719i | \(0.599316\pi\) | |||||||
\(578\) | −2.17748 | − | 0.313075i | −0.0905713 | − | 0.0130222i | ||||
\(579\) | 16.0980 | + | 5.58306i | 0.669010 | + | 0.232024i | ||||
\(580\) | −0.784097 | − | 2.67039i | −0.0325579 | − | 0.110882i | ||||
\(581\) | 0.926533 | − | 0.423134i | 0.0384391 | − | 0.0175545i | ||||
\(582\) | −0.0667764 | + | 0.0699437i | −0.00276797 | + | 0.00289926i | ||||
\(583\) | −3.16183 | − | 21.9910i | −0.130950 | − | 0.910775i | ||||
\(584\) | −0.708169 | + | 2.41180i | −0.0293042 | + | 0.0998011i | ||||
\(585\) | 9.33505 | − | 16.1213i | 0.385957 | − | 0.666533i | ||||
\(586\) | 9.01638 | − | 14.0298i | 0.372463 | − | 0.579564i | ||||
\(587\) | 10.1053 | − | 15.7241i | 0.417088 | − | 0.649002i | −0.567604 | − | 0.823302i | \(-0.692130\pi\) |
0.984693 | + | 0.174299i | \(0.0557660\pi\) | |||||||
\(588\) | −9.85151 | − | 7.02469i | −0.406269 | − | 0.289694i | ||||
\(589\) | 1.05705 | − | 3.59997i | 0.0435548 | − | 0.148334i | ||||
\(590\) | −1.08606 | − | 7.55372i | −0.0447124 | − | 0.310982i | ||||
\(591\) | 20.6831 | + | 19.7464i | 0.850788 | + | 0.812260i | ||||
\(592\) | 6.22072 | − | 2.84091i | 0.255670 | − | 0.116761i | ||||
\(593\) | −6.16229 | − | 20.9868i | −0.253055 | − | 0.861826i | −0.983814 | − | 0.179191i | \(-0.942652\pi\) |
0.730759 | − | 0.682635i | \(-0.239166\pi\) | |||||||
\(594\) | −1.58935 | + | 10.9061i | −0.0652120 | + | 0.447485i | ||||
\(595\) | −0.519259 | − | 0.0746582i | −0.0212875 | − | 0.00306069i | ||||
\(596\) | −8.84582 | + | 5.68486i | −0.362339 | + | 0.232861i | ||||
\(597\) | 11.5345 | − | 1.09399i | 0.472074 | − | 0.0447740i | ||||
\(598\) | −27.2202 | + | 12.0805i | −1.11312 | + | 0.494007i | ||||
\(599\) | − | 41.2214i | − | 1.68426i | −0.539274 | − | 0.842131i | \(-0.681301\pi\) | ||
0.539274 | − | 0.842131i | \(-0.318699\pi\) | |||||||
\(600\) | −1.36217 | + | 1.06981i | −0.0556102 | + | 0.0436750i | ||||
\(601\) | 2.40048 | − | 16.6957i | 0.0979178 | − | 0.681033i | −0.880447 | − | 0.474145i | \(-0.842757\pi\) |
0.978365 | − | 0.206888i | \(-0.0663337\pi\) | |||||||
\(602\) | −0.302490 | − | 0.138143i | −0.0123286 | − | 0.00563028i | ||||
\(603\) | −15.7135 | − | 30.5756i | −0.639904 | − | 1.24514i | ||||
\(604\) | 1.50193 | + | 3.28878i | 0.0611128 | + | 0.133818i | ||||
\(605\) | 4.25732 | + | 4.91321i | 0.173085 | + | 0.199750i | ||||
\(606\) | 21.5554 | − | 5.21474i | 0.875627 | − | 0.211834i | ||||
\(607\) | −24.3361 | − | 7.14572i | −0.987771 | − | 0.290036i | −0.252342 | − | 0.967638i | \(-0.581201\pi\) |
−0.735428 | + | 0.677602i | \(0.763019\pi\) | |||||||
\(608\) | 1.74302 | − | 2.01155i | 0.0706887 | − | 0.0815791i | ||||
\(609\) | 0.264782 | − | 0.512802i | 0.0107295 | − | 0.0207798i | ||||
\(610\) | −7.04795 | − | 4.52944i | −0.285363 | − | 0.183392i | ||||
\(611\) | 39.8603 | + | 34.5392i | 1.61258 | + | 1.39730i | ||||
\(612\) | −13.0842 | − | 1.26622i | −0.528896 | − | 0.0511838i | ||||
\(613\) | −0.927911 | + | 0.133413i | −0.0374780 | + | 0.00538852i | −0.161028 | − | 0.986950i | \(-0.551481\pi\) |
0.123550 | + | 0.992338i | \(0.460572\pi\) | |||||||
\(614\) | −15.7529 | + | 13.6500i | −0.635736 | + | 0.550869i | ||||
\(615\) | 11.0225 | + | 19.1196i | 0.444468 | + | 0.770976i | ||||
\(616\) | −0.243653 | + | 0.0715431i | −0.00981708 | + | 0.00288255i | ||||
\(617\) | 16.1128 | − | 35.2821i | 0.648676 | − | 1.42040i | −0.244032 | − | 0.969767i | \(-0.578470\pi\) |
0.892708 | − | 0.450635i | \(-0.148802\pi\) | |||||||
\(618\) | −8.40750 | − | 0.405869i | −0.338199 | − | 0.0163264i | ||||
\(619\) | −14.4641 | − | 22.5065i | −0.581360 | − | 0.904614i | 0.418634 | − | 0.908155i | \(-0.362509\pi\) |
−0.999994 | + | 0.00354133i | \(0.998873\pi\) | |||||||
\(620\) | −1.40963 | −0.0566120 | ||||||||
\(621\) | 22.7967 | − | 10.0652i | 0.914802 | − | 0.403903i | ||||
\(622\) | −9.24868 | −0.370838 | ||||||||
\(623\) | 0.561779 | + | 0.874146i | 0.0225072 | + | 0.0350219i | ||||
\(624\) | 10.7429 | + | 0.518611i | 0.430062 | + | 0.0207610i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −9.04628 | + | 2.65623i | −0.361562 | + | 0.106164i | ||||
\(627\) | 4.88378 | + | 8.47142i | 0.195039 | + | 0.338316i | ||||
\(628\) | −9.83416 | + | 8.52135i | −0.392426 | + | 0.340039i | ||||
\(629\) | −29.6607 | + | 4.26456i | −1.18265 | + | 0.170039i | ||||
\(630\) | −0.357499 | − | 0.0345969i | −0.0142431 | − | 0.00137837i | ||||
\(631\) | 18.0587 | + | 15.6480i | 0.718906 | + | 0.622936i | 0.935500 | − | 0.353326i | \(-0.114949\pi\) |
−0.216594 | + | 0.976262i | \(0.569495\pi\) | |||||||
\(632\) | 4.91700 | + | 3.15997i | 0.195588 | + | 0.125697i | ||||
\(633\) | −13.7868 | + | 26.7008i | −0.547975 | + | 1.06126i | ||||
\(634\) | −8.92730 | + | 10.3026i | −0.354548 | + | 0.409170i | ||||
\(635\) | 5.13391 | + | 1.50745i | 0.203733 | + | 0.0598215i | ||||
\(636\) | 17.6338 | − | 4.26601i | 0.699225 | − | 0.169158i | ||||
\(637\) | −28.4070 | − | 32.7834i | −1.12552 | − | 1.29892i | ||||
\(638\) | 2.45227 | + | 5.36972i | 0.0970862 | + | 0.212589i | ||||
\(639\) | −18.5247 | − | 36.0457i | −0.732827 | − | 1.42594i | ||||
\(640\) | −0.909632 | − | 0.415415i | −0.0359564 | − | 0.0164207i | ||||
\(641\) | −6.98479 | + | 48.5803i | −0.275883 | + | 1.91881i | 0.105560 | + | 0.994413i | \(0.466336\pi\) |
−0.381443 | + | 0.924392i | \(0.624573\pi\) | |||||||
\(642\) | −19.9839 | + | 15.6949i | −0.788701 | + | 0.619428i | ||||
\(643\) | − | 49.3411i | − | 1.94582i | −0.231182 | − | 0.972911i | \(-0.574259\pi\) | ||
0.231182 | − | 0.972911i | \(-0.425741\pi\) | |||||||
\(644\) | 0.429879 | + | 0.380628i | 0.0169396 | + | 0.0149988i | ||||
\(645\) | 4.78943 | − | 0.454255i | 0.188584 | − | 0.0178863i | ||||
\(646\) | −9.81135 | + | 6.30537i | −0.386022 | + | 0.248081i | ||||
\(647\) | 6.18474 | + | 0.889231i | 0.243147 | + | 0.0349593i | 0.262811 | − | 0.964847i | \(-0.415350\pi\) |
−0.0196637 | + | 0.999807i | \(0.506260\pi\) | |||||||
\(648\) | −8.98869 | − | 0.451151i | −0.353109 | − | 0.0177229i | ||||
\(649\) | 4.56030 | + | 15.5310i | 0.179008 | + | 0.609644i | ||||
\(650\) | −5.64851 | + | 2.57959i | −0.221553 | + | 0.101180i | ||||
\(651\) | −0.211426 | − | 0.201851i | −0.00828642 | − | 0.00791117i | ||||
\(652\) | −0.174059 | − | 1.21061i | −0.00681667 | − | 0.0474110i | ||||
\(653\) | −4.40891 | + | 15.0154i | −0.172534 | + | 0.587597i | 0.827138 | + | 0.561999i | \(0.189967\pi\) |
−0.999672 | + | 0.0255987i | \(0.991851\pi\) | |||||||
\(654\) | −22.6564 | − | 16.1553i | −0.885935 | − | 0.631723i | ||||
\(655\) | −8.06205 | + | 12.5448i | −0.315010 | + | 0.490165i | ||||
\(656\) | −6.88868 | + | 10.7190i | −0.268958 | + | 0.418507i | ||||
\(657\) | 3.77875 | − | 6.52577i | 0.147423 | − | 0.254594i | ||||
\(658\) | 0.286490 | − | 0.975696i | 0.0111685 | − | 0.0380366i | ||||
\(659\) | −1.69742 | − | 11.8058i | −0.0661221 | − | 0.459889i | −0.995803 | − | 0.0915234i | \(-0.970826\pi\) |
0.929681 | − | 0.368366i | \(-0.120083\pi\) | |||||||
\(660\) | 2.53689 | − | 2.65723i | 0.0987485 | − | 0.103432i | ||||
\(661\) | −2.02407 | + | 0.924363i | −0.0787273 | + | 0.0359536i | −0.454390 | − | 0.890803i | \(-0.650143\pi\) |
0.375662 | + | 0.926757i | \(0.377415\pi\) | |||||||
\(662\) | −8.79586 | − | 29.9560i | −0.341861 | − | 1.16427i | ||||
\(663\) | −44.5260 | − | 15.4424i | −1.72925 | − | 0.599733i | ||||
\(664\) | −8.42121 | − | 1.21079i | −0.326806 | − | 0.0469876i | ||||
\(665\) | −0.268076 | + | 0.172282i | −0.0103955 | + | 0.00668080i | ||||
\(666\) | −20.1504 | + | 3.85703i | −0.780810 | + | 0.149457i | ||||
\(667\) | 7.33597 | − | 11.1506i | 0.284050 | − | 0.431754i | ||||
\(668\) | − | 7.89576i | − | 0.305496i | ||||||
\(669\) | 5.37466 | + | 6.84341i | 0.207797 | + | 0.264582i | ||||
\(670\) | −1.63079 | + | 11.3424i | −0.0630029 | + | 0.438195i | ||||
\(671\) | 16.1642 | + | 7.38195i | 0.624013 | + | 0.284977i | ||||
\(672\) | −0.0769476 | − | 0.192561i | −0.00296832 | − | 0.00742822i | ||||
\(673\) | −2.20456 | − | 4.82732i | −0.0849796 | − | 0.186079i | 0.862371 | − | 0.506276i | \(-0.168978\pi\) |
−0.947351 | + | 0.320197i | \(0.896251\pi\) | |||||||
\(674\) | −8.70720 | − | 10.0486i | −0.335389 | − | 0.387060i | ||||
\(675\) | 4.73070 | − | 2.14952i | 0.182085 | − | 0.0827351i | ||||
\(676\) | 24.5245 | + | 7.20105i | 0.943251 | + | 0.276964i | ||||
\(677\) | −10.2196 | + | 11.7941i | −0.392772 | + | 0.453284i | −0.917351 | − | 0.398078i | \(-0.869677\pi\) |
0.524579 | + | 0.851362i | \(0.324223\pi\) | |||||||
\(678\) | 14.8800 | + | 7.68321i | 0.571465 | + | 0.295072i | ||||
\(679\) | 0.00562313 | + | 0.00361377i | 0.000215796 | + | 0.000138684i | ||||
\(680\) | 3.31152 | + | 2.86945i | 0.126991 | + | 0.110038i | ||||
\(681\) | −0.660926 | + | 3.41749i | −0.0253267 | + | 0.130958i | ||||
\(682\) | 2.95947 | − | 0.425507i | 0.113324 | − | 0.0162935i | ||||
\(683\) | −3.91677 | + | 3.39390i | −0.149871 | + | 0.129864i | −0.726569 | − | 0.687093i | \(-0.758886\pi\) |
0.576698 | + | 0.816957i | \(0.304341\pi\) | |||||||
\(684\) | −6.51027 | + | 4.62345i | −0.248926 | + | 0.176782i | ||||
\(685\) | 5.27325 | − | 1.54837i | 0.201481 | − | 0.0591600i | ||||
\(686\) | −0.695574 | + | 1.52309i | −0.0265571 | + | 0.0581520i | ||||
\(687\) | 1.82343 | − | 37.7720i | 0.0695680 | − | 1.44109i | ||||
\(688\) | 1.50168 | + | 2.33666i | 0.0572509 | + | 0.0890842i | ||||
\(689\) | 65.0434 | 2.47796 | ||||||||
\(690\) | −8.13815 | − | 1.66448i | −0.309814 | − | 0.0633655i | ||||
\(691\) | −32.2431 | −1.22659 | −0.613293 | − | 0.789855i | \(-0.710156\pi\) | ||||
−0.613293 | + | 0.789855i | \(0.710156\pi\) | |||||||
\(692\) | 3.26280 | + | 5.07702i | 0.124033 | + | 0.192999i | ||||
\(693\) | 0.761002 | − | 0.0352790i | 0.0289081 | − | 0.00134014i | ||||
\(694\) | −4.02380 | + | 8.81090i | −0.152741 | + | 0.334457i | ||||
\(695\) | −16.0898 | + | 4.72438i | −0.610320 | + | 0.179206i | ||||
\(696\) | −4.17622 | + | 2.40760i | −0.158299 | + | 0.0912597i | ||||
\(697\) | 42.1944 | − | 36.5616i | 1.59823 | − | 1.38487i | ||||
\(698\) | 12.1802 | − | 1.75125i | 0.461028 | − | 0.0662859i | ||||
\(699\) | −12.8292 | − | 2.48111i | −0.485246 | − | 0.0938443i | ||||
\(700\) | 0.0904807 | + | 0.0784019i | 0.00341985 | + | 0.00296331i | ||||
\(701\) | 25.5107 | + | 16.3947i | 0.963525 | + | 0.619220i | 0.924971 | − | 0.380037i | \(-0.124089\pi\) |
0.0385535 | + | 0.999257i | \(0.487725\pi\) | |||||||
\(702\) | −30.9419 | − | 9.14965i | −1.16783 | − | 0.345331i | ||||
\(703\) | −11.9200 | + | 13.7564i | −0.449572 | + | 0.518833i | ||||
\(704\) | 2.03514 | + | 0.597571i | 0.0767023 | + | 0.0225218i | ||||
\(705\) | 3.45924 | + | 14.2990i | 0.130283 | + | 0.538530i | ||||
\(706\) | −12.9636 | − | 14.9608i | −0.487893 | − | 0.563059i | ||||
\(707\) | −0.636804 | − | 1.39441i | −0.0239495 | − | 0.0524421i | ||||
\(708\) | −12.2743 | + | 4.90480i | −0.461295 | + | 0.184334i | ||||
\(709\) | 12.7028 | + | 5.80118i | 0.477064 | + | 0.217868i | 0.639410 | − | 0.768866i | \(-0.279179\pi\) |
−0.162346 | + | 0.986734i | \(0.551906\pi\) | |||||||
\(710\) | −1.92254 | + | 13.3716i | −0.0721517 | + | 0.501826i | ||||
\(711\) | −12.0840 | − | 12.7058i | −0.453187 | − | 0.476504i | ||||
\(712\) | − | 8.67919i | − | 0.325266i | ||||||
\(713\) | −4.37211 | − | 5.15623i | −0.163737 | − | 0.193102i | ||||
\(714\) | 0.0857945 | + | 0.904572i | 0.00321078 | + | 0.0338527i | ||||
\(715\) | 11.0802 | − | 7.12081i | 0.414376 | − | 0.266303i | ||||
\(716\) | 12.6642 | + | 1.82083i | 0.473283 | + | 0.0680478i | ||||
\(717\) | −4.92848 | + | 14.2106i | −0.184057 | + | 0.530705i | ||||
\(718\) | 1.58545 | + | 5.39953i | 0.0591683 | + | 0.201509i | ||||
\(719\) | −13.3975 | + | 6.11843i | −0.499642 | + | 0.228179i | −0.649262 | − | 0.760565i | \(-0.724922\pi\) |
0.149620 | + | 0.988744i | \(0.452195\pi\) | |||||||
\(720\) | 2.35579 | + | 1.85748i | 0.0877953 | + | 0.0692242i | ||||
\(721\) | 0.0828018 | + | 0.575899i | 0.00308370 | + | 0.0214476i | ||||
\(722\) | 3.35700 | − | 11.4329i | 0.124935 | − | 0.425489i | ||||
\(723\) | 27.9111 | − | 39.1428i | 1.03802 | − | 1.45574i | ||||
\(724\) | 11.7796 | − | 18.3294i | 0.437785 | − | 0.681207i | ||||
\(725\) | 1.50467 | − | 2.34131i | 0.0558821 | − | 0.0869542i | ||||
\(726\) | 6.53743 | − | 9.16816i | 0.242627 | − | 0.340262i | ||||
\(727\) | 4.49913 | − | 15.3226i | 0.166864 | − | 0.568285i | −0.833023 | − | 0.553238i | \(-0.813392\pi\) |
0.999887 | − | 0.0150472i | \(-0.00478987\pi\) | |||||||
\(728\) | −0.105803 | − | 0.735873i | −0.00392130 | − | 0.0272733i | ||||
\(729\) | 25.8770 | + | 7.70578i | 0.958409 | + | 0.285399i | ||||
\(730\) | −2.28647 | + | 1.04420i | −0.0846260 | + | 0.0386474i | ||||
\(731\) | −3.42889 | − | 11.6777i | −0.126822 | − | 0.431917i | ||||
\(732\) | −4.75481 | + | 13.7099i | −0.175743 | + | 0.506731i | ||||
\(733\) | 17.7318 | + | 2.54945i | 0.654939 | + | 0.0941660i | 0.461770 | − | 0.887000i | \(-0.347214\pi\) |
0.193169 | + | 0.981166i | \(0.438124\pi\) | |||||||
\(734\) | −25.0583 | + | 16.1040i | −0.924917 | + | 0.594408i | ||||
\(735\) | −1.14246 | − | 12.0455i | −0.0421402 | − | 0.444304i | ||||
\(736\) | −1.30179 | − | 4.61577i | −0.0479846 | − | 0.170140i | ||||
\(737\) | − | 24.3053i | − | 0.895296i | ||||||
\(738\) | 27.6984 | − | 26.3431i | 1.01959 | − | 0.969701i | ||||
\(739\) | 3.72427 | − | 25.9029i | 0.136999 | − | 0.952852i | −0.799120 | − | 0.601171i | \(-0.794701\pi\) |
0.936120 | − | 0.351681i | \(-0.114390\pi\) | |||||||
\(740\) | 6.22072 | + | 2.84091i | 0.228678 | + | 0.104434i | ||||
\(741\) | −26.5835 | + | 10.6228i | −0.976569 | + | 0.390237i | ||||
\(742\) | −0.520949 | − | 1.14072i | −0.0191247 | − | 0.0418772i | ||||
\(743\) | −20.8176 | − | 24.0248i | −0.763724 | − | 0.881385i | 0.232098 | − | 0.972692i | \(-0.425441\pi\) |
−0.995823 | + | 0.0913074i | \(0.970895\pi\) | |||||||
\(744\) | 0.574104 | + | 2.37309i | 0.0210477 | + | 0.0870016i | ||||
\(745\) | −10.0891 | − | 2.96243i | −0.369636 | − | 0.108535i | ||||
\(746\) | −15.4461 | + | 17.8257i | −0.565520 | + | 0.652645i | ||||
\(747\) | 23.6830 | + | 9.51628i | 0.866516 | + | 0.348183i | ||||
\(748\) | −7.81860 | − | 5.02471i | −0.285876 | − | 0.183722i | ||||
\(749\) | 1.32741 | + | 1.15021i | 0.0485026 | + | 0.0420277i | ||||
\(750\) | −1.70054 | − | 0.328876i | −0.0620950 | − | 0.0120089i | ||||
\(751\) | −27.1108 | + | 3.89795i | −0.989288 | + | 0.142238i | −0.617914 | − | 0.786245i | \(-0.712022\pi\) |
−0.371374 | + | 0.928484i | \(0.621113\pi\) | |||||||
\(752\) | −6.41908 | + | 5.56216i | −0.234080 | + | 0.202831i | ||||
\(753\) | 3.98130 | − | 2.29522i | 0.145087 | − | 0.0836425i | ||||
\(754\) | −16.5822 | + | 4.86898i | −0.603889 | + | 0.177318i | ||||
\(755\) | −1.50193 | + | 3.28878i | −0.0546609 | + | 0.119691i | ||||
\(756\) | 0.0873566 | + | 0.615935i | 0.00317713 | + | 0.0224014i | ||||
\(757\) | 3.50177 | + | 5.44886i | 0.127274 | + | 0.198042i | 0.899043 | − | 0.437861i | \(-0.144264\pi\) |
−0.771768 | + | 0.635904i | \(0.780628\pi\) | |||||||
\(758\) | −34.5874 | −1.25627 | ||||||||
\(759\) | 17.5882 | + | 1.03795i | 0.638413 | + | 0.0376752i | ||||
\(760\) | 2.66166 | 0.0965486 | ||||||||
\(761\) | −28.2653 | − | 43.9817i | −1.02462 | − | 1.59433i | −0.781069 | − | 0.624445i | \(-0.785325\pi\) |
−0.243548 | − | 0.969889i | \(-0.578311\pi\) | |||||||
\(762\) | 0.446869 | − | 9.25682i | 0.0161884 | − | 0.335339i | ||||
\(763\) | −0.799017 | + | 1.74960i | −0.0289264 | + | 0.0633399i | ||||
\(764\) | −10.9725 | + | 3.22180i | −0.396970 | + | 0.116561i | ||||
\(765\) | −7.61137 | − | 10.7176i | −0.275190 | − | 0.387494i | ||||
\(766\) | −2.03608 | + | 1.76427i | −0.0735664 | + | 0.0637457i | ||||
\(767\) | −46.9060 | + | 6.74407i | −1.69368 | + | 0.243514i | ||||
\(768\) | −0.328876 | + | 1.70054i | −0.0118673 | + | 0.0613630i | ||||
\(769\) | 12.2921 | + | 10.6512i | 0.443264 | + | 0.384090i | 0.847700 | − | 0.530476i | \(-0.177987\pi\) |
−0.404436 | + | 0.914566i | \(0.632532\pi\) | |||||||
\(770\) | −0.213628 | − | 0.137290i | −0.00769861 | − | 0.00494760i | ||||
\(771\) | −12.9826 | − | 6.70348i | −0.467558 | − | 0.241420i | ||||
\(772\) | −6.44205 | + | 7.43452i | −0.231854 | + | 0.267574i | ||||
\(773\) | −32.1897 | − | 9.45175i | −1.15778 | − | 0.339956i | −0.354212 | − | 0.935165i | \(-0.615251\pi\) |
−0.803571 | + | 0.595209i | \(0.797069\pi\) | |||||||
\(774\) | −2.71534 | − | 7.87794i | −0.0976010 | − | 0.283167i | ||||
\(775\) | −0.923109 | − | 1.06532i | −0.0331591 | − | 0.0382676i | ||||
\(776\) | −0.0231929 | − | 0.0507854i | −0.000832577 | − | 0.00182309i | ||||
\(777\) | 0.526224 | + | 1.31687i | 0.0188782 | + | 0.0472426i | ||||
\(778\) | 11.6459 | + | 5.31848i | 0.417524 | + | 0.190677i | ||||
\(779\) | 4.82647 | − | 33.5689i | 0.172926 | − | 1.20273i | ||||
\(780\) | 6.64319 | + | 8.45859i | 0.237864 | + | 0.302866i | ||||
\(781\) | − | 28.6536i | − | 1.02530i | ||||||
\(782\) | −0.225022 | + | 21.0130i | −0.00804677 | + | 0.751424i | ||||
\(783\) | 13.8835 | − | 4.04775i | 0.496156 | − | 0.144655i | ||||
\(784\) | 5.87672 | − | 3.77674i | 0.209883 | − | 0.134883i | ||||
\(785\) | −12.8800 | − | 1.85187i | −0.459707 | − | 0.0660959i | ||||
\(786\) | 24.4024 | + | 8.46319i | 0.870406 | + | 0.301872i | ||||
\(787\) | 11.2142 | + | 38.1921i | 0.399743 | + | 1.36140i | 0.876092 | + | 0.482144i | \(0.160142\pi\) |
−0.476349 | + | 0.879256i | \(0.658040\pi\) | |||||||
\(788\) | −15.0178 | + | 6.85838i | −0.534986 | + | 0.244320i | ||||
\(789\) | −28.0611 | + | 29.3921i | −0.999003 | + | 1.04639i | ||||
\(790\) | 0.831809 | + | 5.78536i | 0.0295944 | + | 0.205834i | ||||
\(791\) | 0.326122 | − | 1.11067i | 0.0115956 | − | 0.0394909i | ||||
\(792\) | −5.50661 | − | 3.18861i | −0.195669 | − | 0.113302i | ||||
\(793\) | −28.1263 | + | 43.7654i | −0.998795 | + | 1.55415i | ||||
\(794\) | 18.3921 | − | 28.6186i | 0.652710 | − | 1.01564i | ||||
\(795\) | 14.7717 | + | 10.5331i | 0.523898 | + | 0.373570i | ||||
\(796\) | −1.88460 | + | 6.41834i | −0.0667977 | + | 0.227492i | ||||
\(797\) | 1.05056 | + | 7.30679i | 0.0372127 | + | 0.258820i | 0.999932 | − | 0.0116835i | \(-0.00371904\pi\) |
−0.962719 | + | 0.270503i | \(0.912810\pi\) | |||||||
\(798\) | 0.399214 | + | 0.381136i | 0.0141320 | + | 0.0134921i | ||||
\(799\) | 33.8540 | − | 15.4606i | 1.19767 | − | 0.546957i | ||||
\(800\) | −0.281733 | − | 0.959493i | −0.00996075 | − | 0.0339232i | ||||
\(801\) | −6.17083 | + | 25.2958i | −0.218036 | + | 0.893782i | ||||
\(802\) | 34.5951 | + | 4.97402i | 1.22159 | + | 0.175639i | ||||
\(803\) | 4.48518 | − | 2.88245i | 0.158278 | − | 0.101719i | ||||
\(804\) | 19.7589 | − | 1.87404i | 0.696844 | − | 0.0660925i | ||||
\(805\) | −0.00614828 | + | 0.574139i | −0.000216699 | + | 0.0202357i | ||||
\(806\) | 8.75330i | 0.308322i | ||||||||
\(807\) | 10.7301 | − | 8.42716i | 0.377717 | − | 0.296650i | ||||
\(808\) | −1.82220 | + | 12.6737i | −0.0641048 | + | 0.445859i | ||||
\(809\) | 27.3838 | + | 12.5057i | 0.962762 | + | 0.439679i | 0.833858 | − | 0.551978i | \(-0.186127\pi\) |
0.128904 | + | 0.991657i | \(0.458854\pi\) | |||||||
\(810\) | −5.54538 | − | 7.08864i | −0.194845 | − | 0.249069i | ||||
\(811\) | 14.3185 | + | 31.3531i | 0.502791 | + | 1.10096i | 0.975552 | + | 0.219768i | \(0.0705299\pi\) |
−0.472762 | + | 0.881190i | \(0.656743\pi\) | |||||||
\(812\) | 0.218202 | + | 0.251819i | 0.00765741 | + | 0.00883712i | ||||
\(813\) | 15.5017 | − | 3.75022i | 0.543669 | − | 0.131526i | ||||
\(814\) | −13.9178 | − | 4.08663i | −0.487818 | − | 0.143236i | ||||
\(815\) | 0.800931 | − | 0.924324i | 0.0280554 | − | 0.0323776i | ||||
\(816\) | 3.48198 | − | 6.74355i | 0.121894 | − | 0.236071i | ||||
\(817\) | −6.21938 | − | 3.99696i | −0.217589 | − | 0.139836i | ||||
\(818\) | 9.65177 | + | 8.36331i | 0.337466 | + | 0.292416i | ||||
\(819\) | −0.214835 | + | 2.21995i | −0.00750694 | + | 0.0775713i | ||||
\(820\) | −12.6120 | + | 1.81333i | −0.440430 | + | 0.0633243i | ||||
\(821\) | 24.5344 | − | 21.2592i | 0.856255 | − | 0.741950i | −0.111521 | − | 0.993762i | \(-0.535572\pi\) |
0.967776 | + | 0.251813i | \(0.0810266\pi\) | |||||||
\(822\) | −4.75431 | − | 8.24684i | −0.165826 | − | 0.287642i | ||||
\(823\) | 44.9601 | − | 13.2015i | 1.56721 | − | 0.460175i | 0.621023 | − | 0.783792i | \(-0.286717\pi\) |
0.946188 | + | 0.323617i | \(0.104899\pi\) | |||||||
\(824\) | 2.01880 | − | 4.42056i | 0.0703284 | − | 0.153998i | ||||
\(825\) | 3.66951 | + | 0.177144i | 0.127756 | + | 0.00616736i | ||||
\(826\) | 0.493959 | + | 0.768615i | 0.0171870 | + | 0.0267435i | ||||
\(827\) | −6.24423 | −0.217133 | −0.108567 | − | 0.994089i | \(-0.534626\pi\) | ||||
−0.108567 | + | 0.994089i | \(0.534626\pi\) | |||||||
\(828\) | 0.512333 | + | 14.3784i | 0.0178048 | + | 0.499683i | ||||
\(829\) | 5.96855 | 0.207296 | 0.103648 | − | 0.994614i | \(-0.466948\pi\) | ||||
0.103648 | + | 0.994614i | \(0.466948\pi\) | |||||||
\(830\) | −4.59967 | − | 7.15722i | −0.159657 | − | 0.248431i | ||||
\(831\) | −8.16998 | − | 0.394402i | −0.283413 | − | 0.0136817i | ||||
\(832\) | −2.57959 | + | 5.64851i | −0.0894311 | + | 0.195827i | ||||
\(833\) | −29.3697 | + | 8.62371i | −1.01760 | + | 0.298794i | ||||
\(834\) | 14.5064 | + | 25.1628i | 0.502315 | + | 0.871317i | ||||
\(835\) | 5.96721 | − | 5.17062i | 0.206504 | − | 0.178937i | ||||
\(836\) | −5.58808 | + | 0.803444i | −0.193268 | + | 0.0277877i | ||||
\(837\) | 0.0140027 | − | 7.32462i | 0.000484005 | − | 0.253176i | ||||
\(838\) | 3.39906 | + | 2.94530i | 0.117418 | + | 0.101744i | ||||
\(839\) | −23.0153 | − | 14.7910i | −0.794576 | − | 0.510643i | 0.0792659 | − | 0.996854i | \(-0.474742\pi\) |
−0.873842 | + | 0.486211i | \(0.838379\pi\) | |||||||
\(840\) | 0.0951382 | − | 0.184254i | 0.00328258 | − | 0.00635737i | ||||
\(841\) | −13.9185 | + | 16.0629i | −0.479950 | + | 0.553892i | ||||
\(842\) | −10.8180 | − | 3.17645i | −0.372813 | − | 0.109468i | ||||
\(843\) | −35.6329 | + | 8.62041i | −1.22726 | + | 0.296903i | ||||
\(844\) | −11.3615 | − | 13.1118i | −0.391078 | − | 0.451328i | ||||
\(845\) | 10.6180 | + | 23.2501i | 0.365269 | + | 0.799828i | ||||
\(846\) | 22.6633 | − | 11.6472i | 0.779179 | − | 0.400438i | ||||
\(847\) | −0.707996 | − | 0.323331i | −0.0243270 | − | 0.0111098i | ||||
\(848\) | −1.49068 | + | 10.3679i | −0.0511903 | + | 0.356036i | ||||
\(849\) | −12.1173 | + | 9.51667i | −0.415865 | + | 0.326611i | ||||
\(850\) | 4.38177i | 0.150293i | ||||||||
\(851\) | 8.90259 | + | 31.5660i | 0.305177 | + | 1.08207i | ||||
\(852\) | 23.2939 | − | 2.20932i | 0.798035 | − | 0.0756899i | ||||
\(853\) | −0.0103728 | + | 0.00666621i | −0.000355159 | + | 0.000228247i | −0.540818 | − | 0.841139i | \(-0.681885\pi\) |
0.540463 | + | 0.841368i | \(0.318249\pi\) | |||||||
\(854\) | 0.992821 | + | 0.142746i | 0.0339736 | + | 0.00488467i | ||||
\(855\) | −7.75749 | − | 1.89242i | −0.265301 | − | 0.0647194i | ||||
\(856\) | −4.13321 | − | 14.0764i | −0.141270 | − | 0.481122i | ||||
\(857\) | 10.8969 | − | 4.97644i | 0.372231 | − | 0.169992i | −0.220511 | − | 0.975384i | \(-0.570773\pi\) |
0.592742 | + | 0.805392i | \(0.298045\pi\) | |||||||
\(858\) | −16.5005 | − | 15.7533i | −0.563317 | − | 0.537807i | ||||
\(859\) | 5.77312 | + | 40.1529i | 0.196976 | + | 1.37000i | 0.812996 | + | 0.582269i | \(0.197835\pi\) |
−0.616020 | + | 0.787731i | \(0.711256\pi\) | |||||||
\(860\) | −0.782537 | + | 2.66508i | −0.0266843 | + | 0.0908784i | ||||
\(861\) | −2.15130 | − | 1.53400i | −0.0733160 | − | 0.0522785i | ||||
\(862\) | −15.3748 | + | 23.9237i | −0.523669 | + | 0.814844i | ||||
\(863\) | 21.3173 | − | 33.1703i | 0.725648 | − | 1.12913i | −0.260854 | − | 0.965378i | \(-0.584004\pi\) |
0.986502 | − | 0.163752i | \(-0.0523596\pi\) | |||||||
\(864\) | 2.16759 | − | 4.72245i | 0.0737430 | − | 0.160661i | ||||
\(865\) | −1.70028 | + | 5.79061i | −0.0578111 | + | 0.196887i | ||||
\(866\) | 2.18829 | + | 15.2199i | 0.0743613 | + | 0.517194i | ||||
\(867\) | −2.63116 | + | 2.75596i | −0.0893589 | + | 0.0935974i | ||||
\(868\) | 0.153514 | − | 0.0701074i | 0.00521060 | − | 0.00237960i | ||||
\(869\) | −3.49272 | − | 11.8951i | −0.118482 | − | 0.403514i | ||||
\(870\) | −4.55439 | − | 1.57954i | −0.154408 | − | 0.0535514i | ||||
\(871\) | 70.4324 | + | 10.1266i | 2.38651 | + | 0.343128i | ||||
\(872\) | 13.5152 | − | 8.68570i | 0.457683 | − | 0.294135i | ||||
\(873\) | 0.0314885 | + | 0.164506i | 0.00106572 | + | 0.00556767i | ||||
\(874\) | 8.25543 | + | 9.73601i | 0.279244 | + | 0.329325i | ||||
\(875\) | 0.119723i | 0.00404738i | ||||||||
\(876\) | 2.68911 | + | 3.42397i | 0.0908566 | + | 0.115685i | ||||
\(877\) | 1.36777 | − | 9.51308i | 0.0461865 | − | 0.321234i | −0.953610 | − | 0.301046i | \(-0.902664\pi\) |
0.999796 | − | 0.0201882i | \(-0.00642655\pi\) | |||||||
\(878\) | −8.15977 | − | 3.72644i | −0.275379 | − | 0.125761i | ||||
\(879\) | −10.7187 | − | 26.8235i | −0.361532 | − | 0.904733i | ||||
\(880\) | 0.881120 | + | 1.92938i | 0.0297025 | + | 0.0650395i | ||||
\(881\) | 4.15676 | + | 4.79716i | 0.140045 | + | 0.161620i | 0.821439 | − | 0.570296i | \(-0.193172\pi\) |
−0.681394 | + | 0.731917i | \(0.738626\pi\) | |||||||
\(882\) | −19.8131 | + | 6.82912i | −0.667142 | + | 0.229948i | ||||
\(883\) | −54.7877 | − | 16.0871i | −1.84375 | − | 0.541375i | −0.999989 | − | 0.00466234i | \(-0.998516\pi\) |
−0.843765 | − | 0.536713i | \(-0.819666\pi\) | |||||||
\(884\) | 17.8183 | − | 20.5634i | 0.599294 | − | 0.691622i | ||||
\(885\) | −11.7447 | − | 6.06431i | −0.394795 | − | 0.203849i | ||||
\(886\) | −10.6142 | − | 6.82135i | −0.356592 | − | 0.229168i | ||||
\(887\) | −30.2887 | − | 26.2453i | −1.01700 | − | 0.881232i | −0.0240399 | − | 0.999711i | \(-0.507653\pi\) |
−0.992957 | + | 0.118479i | \(0.962198\pi\) | |||||||
\(888\) | 2.24910 | − | 11.6295i | 0.0754747 | − | 0.390262i | ||||
\(889\) | −0.634076 | + | 0.0911664i | −0.0212662 | + | 0.00305762i | ||||
\(890\) | 6.55929 | − | 5.68366i | 0.219868 | − | 0.190517i | ||||
\(891\) | 13.7821 | + | 13.2085i | 0.461718 | + | 0.442500i | ||||
\(892\) | −4.82042 | + | 1.41540i | −0.161399 | + | 0.0473912i | ||||
\(893\) | 9.39138 | − | 20.5643i | 0.314271 | − | 0.688157i | ||||
\(894\) | −0.878182 | + | 18.1914i | −0.0293708 | + | 0.608412i | ||||
\(895\) | 6.91718 | + | 10.7633i | 0.231216 | + | 0.359779i | ||||
\(896\) | 0.119723 | 0.00399967 | ||||||||
\(897\) | −10.3358 | + | 50.5352i | −0.345103 | + | 1.68732i | ||||
\(898\) | −16.8254 | −0.561470 | ||||||||
\(899\) | −2.12102 | − | 3.30038i | −0.0707401 | − | 0.110074i | ||||
\(900\) | 0.138926 | + | 2.99678i | 0.00463088 | + | 0.0998927i | ||||
\(901\) | 19.0663 | − | 41.7494i | 0.635191 | − | 1.39087i | ||||
\(902\) | 25.9312 | − | 7.61407i | 0.863413 | − | 0.253521i | ||||
\(903\) | −0.498996 | + | 0.287671i | −0.0166055 | + | 0.00957310i | ||||
\(904\) | −7.30707 | + | 6.33161i | −0.243029 | + | 0.210586i | ||||
\(905\) | 21.5664 | − | 3.10078i | 0.716892 | − | 0.103074i | ||||
\(906\) | 6.14831 | + | 1.18905i | 0.204264 | + | 0.0395036i | ||||
\(907\) | 21.5937 | + | 18.7110i | 0.717006 | + | 0.621289i | 0.934995 | − | 0.354662i | \(-0.115404\pi\) |
−0.217989 | + | 0.975951i | \(0.569950\pi\) | |||||||
\(908\) | −1.69062 | − | 1.08650i | −0.0561053 | − | 0.0360567i | ||||
\(909\) | 14.3217 | − | 35.6423i | 0.475022 | − | 1.18218i | ||||
\(910\) | 0.486849 | − | 0.561854i | 0.0161389 | − | 0.0186253i | ||||
\(911\) | −56.2028 | − | 16.5026i | −1.86208 | − | 0.546756i | −0.999141 | − | 0.0414493i | \(-0.986802\pi\) |
−0.862940 | − | 0.505307i | \(-0.831379\pi\) | |||||||
\(912\) | −1.08402 | − | 4.48087i | −0.0358956 | − | 0.148376i | ||||
\(913\) | 11.8173 | + | 13.6379i | 0.391096 | + | 0.451349i | ||||
\(914\) | −7.41043 | − | 16.2266i | −0.245115 | − | 0.536727i | ||||
\(915\) | −13.4750 | + | 5.38460i | −0.445468 | + | 0.178009i | ||||
\(916\) | 19.8600 | + | 9.06978i | 0.656194 | + | 0.299674i | ||||
\(917\) | 0.254076 | − | 1.76714i | 0.00839034 | − | 0.0583561i | ||||
\(918\) | −14.9429 | + | 17.1786i | −0.493191 | + | 0.566979i | ||||
\(919\) | − | 37.1187i | − | 1.22443i | −0.790690 | − | 0.612217i | \(-0.790278\pi\) | ||
0.790690 | − | 0.612217i | \(-0.209722\pi\) | |||||||
\(920\) | 2.63588 | − | 4.00651i | 0.0869022 | − | 0.132091i | ||||
\(921\) | 3.40891 | + | 35.9418i | 0.112327 | + | 1.18432i | ||||
\(922\) | 13.4279 | − | 8.62960i | 0.442225 | − | 0.284201i | ||||
\(923\) | 83.0329 | + | 11.9383i | 2.73306 | + | 0.392955i | ||||
\(924\) | −0.144121 | + | 0.415554i | −0.00474124 | + | 0.0136707i | ||||
\(925\) | 1.92669 | + | 6.56171i | 0.0633492 | + | 0.215748i | ||||
\(926\) | −28.5387 | + | 13.0332i | −0.937840 | + | 0.428297i | ||||
\(927\) | −9.02685 | + | 11.4485i | −0.296481 | + | 0.376019i | ||||
\(928\) | −0.396080 | − | 2.75480i | −0.0130020 | − | 0.0904307i | ||||
\(929\) | −0.868156 | + | 2.95667i | −0.0284833 | + | 0.0970051i | −0.972508 | − | 0.232870i | \(-0.925188\pi\) |
0.944025 | + | 0.329875i | \(0.107007\pi\) | |||||||
\(930\) | −1.41750 | + | 1.98792i | −0.0464817 | + | 0.0651865i | ||||
\(931\) | −10.0524 | + | 15.6418i | −0.329454 | + | 0.512640i | ||||
\(932\) | 4.07871 | − | 6.34659i | 0.133602 | − | 0.207889i | ||||
\(933\) | −9.30035 | + | 13.0429i | −0.304480 | + | 0.427006i | ||||
\(934\) | 8.45757 | − | 28.8039i | 0.276740 | − | 0.942491i | ||||
\(935\) | −1.32267 | − | 9.19939i | −0.0432560 | − | 0.300852i | ||||
\(936\) | 11.5343 | − | 14.6287i | 0.377011 | − | 0.478153i | ||||
\(937\) | 45.1172 | − | 20.6044i | 1.47392 | − | 0.673115i | 0.493445 | − | 0.869777i | \(-0.335737\pi\) |
0.980471 | + | 0.196662i | \(0.0630102\pi\) | |||||||
\(938\) | −0.386512 | − | 1.31634i | −0.0126201 | − | 0.0429799i | ||||
\(939\) | −5.35088 | + | 15.4285i | −0.174619 | + | 0.503492i | ||||
\(940\) | −8.40721 | − | 1.20877i | −0.274213 | − | 0.0394259i | ||||
\(941\) | 16.1710 | − | 10.3925i | 0.527161 | − | 0.338786i | −0.249838 | − | 0.968288i | \(-0.580377\pi\) |
0.776999 | + | 0.629502i | \(0.216741\pi\) | |||||||
\(942\) | 2.12810 | + | 22.4375i | 0.0693372 | + | 0.731055i | ||||
\(943\) | −45.7505 | − | 40.5088i | −1.48984 | − | 1.31915i | ||||
\(944\) | − | 7.63140i | − | 0.248381i | ||||||
\(945\) | −0.408287 | + | 0.469372i | −0.0132816 | + | 0.0152687i | ||||
\(946\) | 0.838438 | − | 5.83146i | 0.0272600 | − | 0.189597i | ||||
\(947\) | 30.2022 | + | 13.7929i | 0.981440 | + | 0.448209i | 0.840501 | − | 0.541810i | \(-0.182261\pi\) |
0.140939 | + | 0.990018i | \(0.454988\pi\) | |||||||
\(948\) | 9.40080 | − | 3.75657i | 0.305324 | − | 0.122008i | ||||
\(949\) | 6.48410 | + | 14.1982i | 0.210483 | + | 0.460893i | ||||
\(950\) | 1.74302 | + | 2.01155i | 0.0565509 | + | 0.0652632i | ||||
\(951\) | 5.55210 | + | 22.9499i | 0.180039 | + | 0.744201i | ||||
\(952\) | −0.503349 | − | 0.147796i | −0.0163136 | − | 0.00479011i | ||||
\(953\) | −5.97116 | + | 6.89108i | −0.193425 | + | 0.223224i | −0.844175 | − | 0.536068i | \(-0.819909\pi\) |
0.650750 | + | 0.759292i | \(0.274455\pi\) | |||||||
\(954\) | 11.7162 | − | 29.1578i | 0.379325 | − | 0.944019i | ||||
\(955\) | −9.62031 | − | 6.18260i | −0.311306 | − | 0.200064i | ||||
\(956\) | −6.56287 | − | 5.68675i | −0.212258 | − | 0.183923i | ||||
\(957\) | 10.0386 | + | 1.94142i | 0.324502 | + | 0.0627571i | ||||
\(958\) | 18.6186 | − | 2.67696i | 0.601541 | − | 0.0864886i | ||||
\(959\) | −0.497270 | + | 0.430887i | −0.0160577 | + | 0.0139141i | ||||
\(960\) | −1.50055 | + | 0.865069i | −0.0484301 | + | 0.0279200i | ||||
\(961\) | 27.8377 | − | 8.17389i | 0.897991 | − | 0.263674i | ||||
\(962\) | 17.6411 | − | 38.6286i | 0.568771 | − | 1.24544i | ||||
\(963\) | 2.03815 | + | 43.9648i | 0.0656783 | + | 1.41675i | ||||
\(964\) | 15.0060 | + | 23.3498i | 0.483312 | + | 0.752048i | ||||
\(965\) | −9.83728 | −0.316673 | ||||||||
\(966\) | 0.969059 | − | 0.223481i | 0.0311790 | − | 0.00719039i | ||||
\(967\) | −8.68040 | −0.279143 | −0.139571 | − | 0.990212i | \(-0.544572\pi\) | ||||
−0.139571 | + | 0.990212i | \(0.544572\pi\) | |||||||
\(968\) | 3.51476 | + | 5.46908i | 0.112969 | + | 0.175783i | ||||
\(969\) | −0.974037 | + | 20.1770i | −0.0312906 | + | 0.648179i | ||||
\(970\) | 0.0231929 | − | 0.0507854i | 0.000744680 | − | 0.00163062i | ||||
\(971\) | 12.1787 | − | 3.57598i | 0.390832 | − | 0.114759i | −0.0804115 | − | 0.996762i | \(-0.525623\pi\) |
0.471244 | + | 0.882003i | \(0.343805\pi\) | |||||||
\(972\) | −9.67514 | + | 12.2226i | −0.310330 | + | 0.392040i | ||||
\(973\) | 1.51727 | − | 1.31473i | 0.0486416 | − | 0.0421482i | ||||
\(974\) | 1.72886 | − | 0.248572i | 0.0553961 | − | 0.00796476i | ||||
\(975\) | −2.04221 | + | 10.5598i | −0.0654031 | + | 0.338184i | ||||
\(976\) | −6.33161 | − | 5.48637i | −0.202670 | − | 0.175614i | ||||
\(977\) | −15.7537 | − | 10.1243i | −0.504007 | − | 0.323906i | 0.263810 | − | 0.964575i | \(-0.415021\pi\) |
−0.767817 | + | 0.640669i | \(0.778657\pi\) | |||||||
\(978\) | −1.88228 | − | 0.971904i | −0.0601888 | − | 0.0310781i | ||||
\(979\) | −12.0554 | + | 13.9126i | −0.385292 | + | 0.444650i | ||||
\(980\) | 6.70270 | + | 1.96809i | 0.214110 | + | 0.0628683i | ||||
\(981\) | −45.5660 | + | 15.7055i | −1.45481 | + | 0.501439i | ||||
\(982\) | 1.63415 | + | 1.88591i | 0.0521479 | + | 0.0601818i | ||||
\(983\) | −10.7148 | − | 23.4620i | −0.341747 | − | 0.748323i | 0.658242 | − | 0.752806i | \(-0.271300\pi\) |
−0.999990 | + | 0.00448341i | \(0.998573\pi\) | |||||||
\(984\) | 8.18926 | + | 20.4936i | 0.261064 | + | 0.653313i | ||||
\(985\) | −15.0178 | − | 6.85838i | −0.478506 | − | 0.218526i | ||||
\(986\) | −1.73553 | + | 12.0709i | −0.0552705 | + | 0.384415i | ||||
\(987\) | −1.08788 | − | 1.38517i | −0.0346276 | − | 0.0440904i | ||||
\(988\) | − | 16.5280i | − | 0.525826i | ||||||
\(989\) | −12.1756 | + | 5.40361i | −0.387162 | + | 0.171825i | ||||
\(990\) | −1.19628 | − | 6.24972i | −0.0380201 | − | 0.198629i | ||||
\(991\) | −38.4034 | + | 24.6804i | −1.21993 | + | 0.783999i | −0.982292 | − | 0.187356i | \(-0.940008\pi\) |
−0.237634 | + | 0.971355i | \(0.576372\pi\) | |||||||
\(992\) | −1.39528 | − | 0.200611i | −0.0443001 | − | 0.00636940i | ||||
\(993\) | −51.0903 | − | 17.7190i | −1.62130 | − | 0.562295i | ||||
\(994\) | −0.455660 | − | 1.55183i | −0.0144526 | − | 0.0492212i | ||||
\(995\) | −6.08481 | + | 2.77884i | −0.192901 | + | 0.0880951i | ||||
\(996\) | −10.1758 | + | 10.6584i | −0.322431 | + | 0.337725i | ||||
\(997\) | 4.40458 | + | 30.6345i | 0.139495 | + | 0.970206i | 0.932546 | + | 0.361051i | \(0.117582\pi\) |
−0.793051 | + | 0.609155i | \(0.791509\pi\) | |||||||
\(998\) | −2.89033 | + | 9.84356i | −0.0914918 | + | 0.311592i | ||||
\(999\) | −14.8236 | + | 32.2955i | −0.468997 | + | 1.02179i |
(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 | 690.2.q.a.11.16 | ✓ | 160 | |
3.2 | odd | 2 | 690.2.q.b.11.1 | yes | 160 | ||
23.21 | odd | 22 | 690.2.q.b.251.1 | yes | 160 | ||
69.44 | even | 22 | inner | 690.2.q.a.251.16 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.16 | ✓ | 160 | 1.1 | even | 1 | trivial | |
690.2.q.a.251.16 | yes | 160 | 69.44 | even | 22 | inner | |
690.2.q.b.11.1 | yes | 160 | 3.2 | odd | 2 | ||
690.2.q.b.251.1 | yes | 160 | 23.21 | odd | 22 |