Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(16,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bl (of order \(15\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.7 | ||
Character | \(\chi\) | \(=\) | 403.16 |
Dual form | 403.2.bl.b.126.7 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.58921 | − | 0.707561i | −1.12374 | − | 0.500321i | −0.241161 | − | 0.970485i | \(-0.577528\pi\) |
−0.882579 | + | 0.470164i | \(0.844195\pi\) | |||||||
\(3\) | 0.119963 | − | 1.14138i | 0.0692609 | − | 0.658973i | −0.903726 | − | 0.428112i | \(-0.859179\pi\) |
0.972987 | − | 0.230861i | \(-0.0741544\pi\) | |||||||
\(4\) | 0.686679 | + | 0.762634i | 0.343339 | + | 0.381317i | ||||
\(5\) | −0.807451 | −0.361103 | −0.180551 | − | 0.983566i | \(-0.557788\pi\) | ||||
−0.180551 | + | 0.983566i | \(0.557788\pi\) | |||||||
\(6\) | −0.998239 | + | 1.72900i | −0.407530 | + | 0.705862i | ||||
\(7\) | 0.398118 | + | 0.442154i | 0.150474 | + | 0.167119i | 0.813669 | − | 0.581328i | \(-0.197467\pi\) |
−0.663195 | + | 0.748447i | \(0.730800\pi\) | |||||||
\(8\) | 0.523470 | + | 1.61107i | 0.185074 | + | 0.569601i | ||||
\(9\) | 1.64610 | + | 0.349889i | 0.548699 | + | 0.116630i | ||||
\(10\) | 1.28321 | + | 0.571321i | 0.405786 | + | 0.180667i | ||||
\(11\) | 4.46112 | − | 0.948240i | 1.34508 | − | 0.285905i | 0.521569 | − | 0.853209i | \(-0.325347\pi\) |
0.823508 | + | 0.567304i | \(0.192014\pi\) | |||||||
\(12\) | 0.952828 | − | 0.692270i | 0.275058 | − | 0.199841i | ||||
\(13\) | 0.623037 | − | 3.55131i | 0.172799 | − | 0.984957i | ||||
\(14\) | −0.319840 | − | 0.984368i | −0.0854810 | − | 0.263083i | ||||
\(15\) | −0.0968645 | + | 0.921604i | −0.0250103 | + | 0.237957i | ||||
\(16\) | 0.522570 | − | 4.97193i | 0.130643 | − | 1.24298i | ||||
\(17\) | 0.144258 | + | 0.0306631i | 0.0349878 | + | 0.00743688i | 0.225372 | − | 0.974273i | \(-0.427640\pi\) |
−0.190385 | + | 0.981710i | \(0.560973\pi\) | |||||||
\(18\) | −2.36842 | − | 1.72076i | −0.558243 | − | 0.405587i | ||||
\(19\) | −0.223375 | − | 2.12527i | −0.0512458 | − | 0.487571i | −0.989803 | − | 0.142446i | \(-0.954503\pi\) |
0.938557 | − | 0.345125i | \(-0.112163\pi\) | |||||||
\(20\) | −0.554459 | − | 0.615789i | −0.123981 | − | 0.137695i | ||||
\(21\) | 0.552424 | − | 0.401359i | 0.120549 | − | 0.0875838i | ||||
\(22\) | −7.76058 | − | 1.64956i | −1.65456 | − | 0.351688i | ||||
\(23\) | −0.136417 | + | 0.151507i | −0.0284450 | + | 0.0315913i | −0.757199 | − | 0.653184i | \(-0.773433\pi\) |
0.728754 | + | 0.684775i | \(0.240100\pi\) | |||||||
\(24\) | 1.90164 | − | 0.404205i | 0.388170 | − | 0.0825081i | ||||
\(25\) | −4.34802 | −0.869605 | ||||||||
\(26\) | −3.50291 | + | 5.20294i | −0.686977 | + | 1.02038i | ||||
\(27\) | 1.66077 | − | 5.11131i | 0.319615 | − | 0.983673i | ||||
\(28\) | −0.0638231 | + | 0.607236i | −0.0120614 | + | 0.114757i | ||||
\(29\) | 1.14618 | + | 0.510313i | 0.212841 | + | 0.0947627i | 0.510388 | − | 0.859944i | \(-0.329502\pi\) |
−0.297547 | + | 0.954707i | \(0.596169\pi\) | |||||||
\(30\) | 0.806029 | − | 1.39608i | 0.147160 | − | 0.254889i | ||||
\(31\) | −2.75646 | + | 4.83755i | −0.495075 | + | 0.868850i | ||||
\(32\) | −2.65443 | + | 4.59761i | −0.469242 | + | 0.812750i | ||||
\(33\) | −0.547127 | − | 5.20556i | −0.0952425 | − | 0.906172i | ||||
\(34\) | −0.207561 | − | 0.150802i | −0.0355963 | − | 0.0258623i | ||||
\(35\) | −0.321460 | − | 0.357018i | −0.0543367 | − | 0.0603470i | ||||
\(36\) | 0.863503 | + | 1.49563i | 0.143917 | + | 0.249272i | ||||
\(37\) | 0.460601 | + | 0.797785i | 0.0757224 | + | 0.131155i | 0.901400 | − | 0.432987i | \(-0.142540\pi\) |
−0.825678 | + | 0.564142i | \(0.809207\pi\) | |||||||
\(38\) | −1.14877 | + | 3.53555i | −0.186355 | + | 0.573543i | ||||
\(39\) | −3.97864 | − | 1.13715i | −0.637092 | − | 0.182089i | ||||
\(40\) | −0.422676 | − | 1.30086i | −0.0668309 | − | 0.205684i | ||||
\(41\) | 0.558896 | + | 0.248837i | 0.0872850 | + | 0.0388618i | 0.449915 | − | 0.893072i | \(-0.351454\pi\) |
−0.362630 | + | 0.931933i | \(0.618121\pi\) | |||||||
\(42\) | −1.16190 | + | 0.246970i | −0.179285 | + | 0.0381083i | ||||
\(43\) | −1.24772 | − | 11.8713i | −0.190275 | − | 1.81035i | −0.507123 | − | 0.861874i | \(-0.669291\pi\) |
0.316847 | − | 0.948477i | \(-0.397376\pi\) | |||||||
\(44\) | 3.78651 | + | 2.75106i | 0.570839 | + | 0.414738i | ||||
\(45\) | −1.32914 | − | 0.282518i | −0.198137 | − | 0.0421153i | ||||
\(46\) | 0.323996 | − | 0.144252i | 0.0477705 | − | 0.0212688i | ||||
\(47\) | 4.59558 | + | 3.33888i | 0.670334 | + | 0.487026i | 0.870137 | − | 0.492810i | \(-0.164030\pi\) |
−0.199803 | + | 0.979836i | \(0.564030\pi\) | |||||||
\(48\) | −5.61214 | − | 1.19290i | −0.810043 | − | 0.172180i | ||||
\(49\) | 0.694696 | − | 6.60959i | 0.0992423 | − | 0.944228i | ||||
\(50\) | 6.90991 | + | 3.07649i | 0.977210 | + | 0.435082i | ||||
\(51\) | 0.0523038 | − | 0.160974i | 0.00732399 | − | 0.0225409i | ||||
\(52\) | 3.13618 | − | 1.96346i | 0.434910 | − | 0.272283i | ||||
\(53\) | −0.974979 | − | 3.00068i | −0.133924 | − | 0.412175i | 0.861497 | − | 0.507762i | \(-0.169527\pi\) |
−0.995421 | + | 0.0955874i | \(0.969527\pi\) | |||||||
\(54\) | −6.25587 | + | 6.94785i | −0.851316 | + | 0.945483i | ||||
\(55\) | −3.60213 | + | 0.765657i | −0.485711 | + | 0.103241i | ||||
\(56\) | −0.503941 | + | 0.872851i | −0.0673419 | + | 0.116640i | ||||
\(57\) | −2.45253 | −0.324846 | ||||||||
\(58\) | −1.46044 | − | 1.62199i | −0.191766 | − | 0.212977i | ||||
\(59\) | 0.769130 | − | 0.342439i | 0.100132 | − | 0.0445817i | −0.356059 | − | 0.934463i | \(-0.615880\pi\) |
0.456191 | + | 0.889882i | \(0.349213\pi\) | |||||||
\(60\) | −0.769361 | + | 0.558974i | −0.0993241 | + | 0.0721632i | ||||
\(61\) | 5.61070 | − | 9.71802i | 0.718377 | − | 1.24426i | −0.243266 | − | 0.969960i | \(-0.578219\pi\) |
0.961643 | − | 0.274305i | \(-0.0884479\pi\) | |||||||
\(62\) | 7.80345 | − | 5.73752i | 0.991040 | − | 0.728665i | ||||
\(63\) | 0.500635 | + | 0.867126i | 0.0630741 | + | 0.109248i | ||||
\(64\) | −0.617524 | + | 0.448657i | −0.0771905 | + | 0.0560822i | ||||
\(65\) | −0.503072 | + | 2.86751i | −0.0623984 | + | 0.355671i | ||||
\(66\) | −2.81376 | + | 8.65985i | −0.346349 | + | 1.06595i | ||||
\(67\) | −4.34113 | − | 7.51905i | −0.530353 | − | 0.918598i | −0.999373 | − | 0.0354107i | \(-0.988726\pi\) |
0.469020 | − | 0.883188i | \(-0.344607\pi\) | |||||||
\(68\) | 0.0756744 | + | 0.131072i | 0.00917687 | + | 0.0158948i | ||||
\(69\) | 0.156561 | + | 0.173878i | 0.0188477 | + | 0.0209325i | ||||
\(70\) | 0.258255 | + | 0.794828i | 0.0308674 | + | 0.0950002i | ||||
\(71\) | 9.50414 | + | 2.02017i | 1.12793 | + | 0.239750i | 0.733841 | − | 0.679321i | \(-0.237726\pi\) |
0.394092 | + | 0.919071i | \(0.371059\pi\) | |||||||
\(72\) | 0.297985 | + | 2.83514i | 0.0351179 | + | 0.334124i | ||||
\(73\) | −0.844951 | + | 2.60049i | −0.0988940 | + | 0.304364i | −0.988249 | − | 0.152853i | \(-0.951154\pi\) |
0.889355 | + | 0.457217i | \(0.151154\pi\) | |||||||
\(74\) | −0.167510 | − | 1.59375i | −0.0194726 | − | 0.185270i | ||||
\(75\) | −0.521604 | + | 4.96273i | −0.0602296 | + | 0.573046i | ||||
\(76\) | 1.46742 | − | 1.62973i | 0.168325 | − | 0.186943i | ||||
\(77\) | 2.19532 | + | 1.59499i | 0.250180 | + | 0.181766i | ||||
\(78\) | 5.51828 | + | 4.62229i | 0.624823 | + | 0.523372i | ||||
\(79\) | 1.76714 | + | 5.43871i | 0.198819 | + | 0.611902i | 0.999911 | + | 0.0133606i | \(0.00425295\pi\) |
−0.801092 | + | 0.598542i | \(0.795747\pi\) | |||||||
\(80\) | −0.421950 | + | 4.01458i | −0.0471754 | + | 0.448844i | ||||
\(81\) | −1.02256 | − | 0.455272i | −0.113617 | − | 0.0505858i | ||||
\(82\) | −0.712136 | − | 0.790907i | −0.0786422 | − | 0.0873410i | ||||
\(83\) | −3.56898 | + | 2.59302i | −0.391747 | + | 0.284621i | −0.766171 | − | 0.642637i | \(-0.777840\pi\) |
0.374424 | + | 0.927258i | \(0.377840\pi\) | |||||||
\(84\) | 0.685428 | + | 0.145692i | 0.0747863 | + | 0.0158963i | ||||
\(85\) | −0.116481 | − | 0.0247589i | −0.0126342 | − | 0.00268548i | ||||
\(86\) | −6.41676 | + | 19.7487i | −0.691937 | + | 2.12956i | ||||
\(87\) | 0.719958 | − | 1.24700i | 0.0771876 | − | 0.133693i | ||||
\(88\) | 3.86294 | + | 6.69081i | 0.411791 | + | 0.713243i | ||||
\(89\) | 16.3876 | − | 3.48329i | 1.73708 | − | 0.369228i | 0.772913 | − | 0.634512i | \(-0.218799\pi\) |
0.964170 | + | 0.265284i | \(0.0854656\pi\) | |||||||
\(90\) | 1.91238 | + | 1.38943i | 0.201583 | + | 0.146459i | ||||
\(91\) | 1.81827 | − | 1.13836i | 0.190607 | − | 0.119333i | ||||
\(92\) | −0.209219 | −0.0218126 | ||||||||
\(93\) | 5.19079 | + | 3.72648i | 0.538260 | + | 0.386418i | ||||
\(94\) | −4.94087 | − | 8.55784i | −0.509612 | − | 0.882673i | ||||
\(95\) | 0.180365 | + | 1.71605i | 0.0185050 | + | 0.176063i | ||||
\(96\) | 4.92916 | + | 3.58125i | 0.503081 | + | 0.365509i | ||||
\(97\) | 6.27142 | + | 6.96512i | 0.636766 | + | 0.707201i | 0.972012 | − | 0.234930i | \(-0.0754861\pi\) |
−0.335246 | + | 0.942131i | \(0.608819\pi\) | |||||||
\(98\) | −5.78071 | + | 10.0125i | −0.583940 | + | 1.01141i | ||||
\(99\) | 7.67521 | 0.771388 | ||||||||
\(100\) | −2.98570 | − | 3.31595i | −0.298570 | − | 0.331595i | ||||
\(101\) | 0.808625 | − | 0.898069i | 0.0804612 | − | 0.0893612i | −0.701570 | − | 0.712601i | \(-0.747517\pi\) |
0.782031 | + | 0.623240i | \(0.214184\pi\) | |||||||
\(102\) | −0.197021 | + | 0.218814i | −0.0195080 | + | 0.0216658i | ||||
\(103\) | −5.31493 | + | 3.86152i | −0.523695 | + | 0.380487i | −0.817994 | − | 0.575227i | \(-0.804914\pi\) |
0.294299 | + | 0.955713i | \(0.404914\pi\) | |||||||
\(104\) | 6.04757 | − | 0.855246i | 0.593013 | − | 0.0838637i | ||||
\(105\) | −0.446055 | + | 0.324078i | −0.0435305 | + | 0.0316267i | ||||
\(106\) | −0.573717 | + | 5.45856i | −0.0557244 | + | 0.530182i | ||||
\(107\) | −12.3173 | + | 13.6798i | −1.19076 | + | 1.32248i | −0.256223 | + | 0.966618i | \(0.582478\pi\) |
−0.934540 | + | 0.355859i | \(0.884188\pi\) | |||||||
\(108\) | 5.03848 | − | 2.24327i | 0.484828 | − | 0.215859i | ||||
\(109\) | 5.35931 | + | 3.89377i | 0.513329 | + | 0.372955i | 0.814085 | − | 0.580746i | \(-0.197239\pi\) |
−0.300756 | + | 0.953701i | \(0.597239\pi\) | |||||||
\(110\) | 6.26629 | + | 1.33194i | 0.597467 | + | 0.126996i | ||||
\(111\) | 0.965827 | − | 0.430014i | 0.0916722 | − | 0.0408151i | ||||
\(112\) | 2.40640 | − | 1.74835i | 0.227384 | − | 0.165204i | ||||
\(113\) | −11.3824 | − | 12.6415i | −1.07077 | − | 1.18921i | −0.981153 | − | 0.193232i | \(-0.938103\pi\) |
−0.0896152 | − | 0.995976i | \(-0.528564\pi\) | |||||||
\(114\) | 3.89758 | + | 1.73532i | 0.365042 | + | 0.162527i | ||||
\(115\) | 0.110150 | − | 0.122334i | 0.0102716 | − | 0.0114077i | ||||
\(116\) | 0.397877 | + | 1.22454i | 0.0369419 | + | 0.113696i | ||||
\(117\) | 2.26814 | − | 5.62781i | 0.209690 | − | 0.520291i | ||||
\(118\) | −1.46460 | −0.134828 | ||||||||
\(119\) | 0.0438740 | + | 0.0759919i | 0.00402192 | + | 0.00696617i | ||||
\(120\) | −1.53548 | + | 0.326376i | −0.140169 | + | 0.0297939i | ||||
\(121\) | 8.95341 | − | 3.98631i | 0.813946 | − | 0.362392i | ||||
\(122\) | −15.7927 | + | 11.4740i | −1.42980 | + | 1.03881i | ||||
\(123\) | 0.351063 | − | 0.608059i | 0.0316543 | − | 0.0548268i | ||||
\(124\) | −5.58209 | + | 1.21968i | −0.501286 | + | 0.109530i | ||||
\(125\) | 7.54807 | 0.675120 | ||||||||
\(126\) | −0.182069 | − | 1.73227i | −0.0162200 | − | 0.154323i | ||||
\(127\) | −0.838647 | + | 7.97919i | −0.0744179 | + | 0.708039i | 0.892169 | + | 0.451701i | \(0.149183\pi\) |
−0.966587 | + | 0.256338i | \(0.917484\pi\) | |||||||
\(128\) | 11.6845 | − | 2.48362i | 1.03278 | − | 0.219523i | ||||
\(129\) | −13.6992 | −1.20615 | ||||||||
\(130\) | 2.82842 | − | 4.20112i | 0.248069 | − | 0.368462i | ||||
\(131\) | −4.93572 | + | 15.1906i | −0.431236 | + | 1.32721i | 0.465659 | + | 0.884964i | \(0.345817\pi\) |
−0.896895 | + | 0.442243i | \(0.854183\pi\) | |||||||
\(132\) | 3.59424 | − | 3.99181i | 0.312838 | − | 0.347442i | ||||
\(133\) | 0.850770 | − | 0.944875i | 0.0737711 | − | 0.0819311i | ||||
\(134\) | 1.57877 | + | 15.0209i | 0.136385 | + | 1.29761i | ||||
\(135\) | −1.34099 | + | 4.12713i | −0.115414 | + | 0.355207i | ||||
\(136\) | 0.0261144 | + | 0.248462i | 0.00223929 | + | 0.0213054i | ||||
\(137\) | −12.0314 | + | 5.35672i | −1.02791 | + | 0.457656i | −0.850218 | − | 0.526430i | \(-0.823530\pi\) |
−0.177693 | + | 0.984086i | \(0.556863\pi\) | |||||||
\(138\) | −0.125778 | − | 0.387106i | −0.0107070 | − | 0.0329526i | ||||
\(139\) | 10.1340 | − | 4.51193i | 0.859550 | − | 0.382697i | 0.0708595 | − | 0.997486i | \(-0.477426\pi\) |
0.788691 | + | 0.614790i | \(0.210759\pi\) | |||||||
\(140\) | 0.0515340 | − | 0.490313i | 0.00435542 | − | 0.0414390i | ||||
\(141\) | 4.36222 | − | 4.84474i | 0.367365 | − | 0.408000i | ||||
\(142\) | −13.6747 | − | 9.93522i | −1.14755 | − | 0.833745i | ||||
\(143\) | −0.588054 | − | 16.4336i | −0.0491756 | − | 1.37425i | ||||
\(144\) | 2.59982 | − | 8.00143i | 0.216652 | − | 0.666786i | ||||
\(145\) | −0.925485 | − | 0.412052i | −0.0768573 | − | 0.0342191i | ||||
\(146\) | 3.18281 | − | 3.53487i | 0.263411 | − | 0.292548i | ||||
\(147\) | −7.46069 | − | 1.58582i | −0.615347 | − | 0.130796i | ||||
\(148\) | −0.292133 | + | 0.899092i | −0.0240132 | + | 0.0739049i | ||||
\(149\) | −7.73724 | + | 13.4013i | −0.633859 | + | 1.09788i | 0.352896 | + | 0.935662i | \(0.385197\pi\) |
−0.986756 | + | 0.162214i | \(0.948137\pi\) | |||||||
\(150\) | 4.34037 | − | 7.51774i | 0.354390 | − | 0.613821i | ||||
\(151\) | −1.03939 | + | 3.19891i | −0.0845842 | + | 0.260323i | −0.984400 | − | 0.175948i | \(-0.943701\pi\) |
0.899815 | + | 0.436271i | \(0.143701\pi\) | |||||||
\(152\) | 3.30704 | − | 1.47239i | 0.268237 | − | 0.119427i | ||||
\(153\) | 0.226735 | + | 0.100949i | 0.0183304 | + | 0.00816122i | ||||
\(154\) | −2.36026 | − | 4.08809i | −0.190195 | − | 0.329428i | ||||
\(155\) | 2.22571 | − | 3.90609i | 0.178773 | − | 0.313744i | ||||
\(156\) | −1.86482 | − | 3.81510i | −0.149305 | − | 0.305452i | ||||
\(157\) | 0.0386908 | − | 0.0281105i | 0.00308787 | − | 0.00224347i | −0.586240 | − | 0.810137i | \(-0.699393\pi\) |
0.589328 | + | 0.807894i | \(0.299393\pi\) | |||||||
\(158\) | 1.03986 | − | 9.89360i | 0.0827268 | − | 0.787093i | ||||
\(159\) | −3.54186 | + | 0.752845i | −0.280888 | + | 0.0597045i | ||||
\(160\) | 2.14332 | − | 3.71234i | 0.169444 | − | 0.293486i | ||||
\(161\) | −0.121299 | −0.00955974 | ||||||||
\(162\) | 1.30292 | + | 1.44704i | 0.102367 | + | 0.113690i | ||||
\(163\) | −20.9787 | − | 4.45915i | −1.64318 | − | 0.349268i | −0.708760 | − | 0.705450i | \(-0.750745\pi\) |
−0.934417 | + | 0.356182i | \(0.884078\pi\) | |||||||
\(164\) | 0.194011 | + | 0.597104i | 0.0151497 | + | 0.0466260i | ||||
\(165\) | 0.441778 | + | 4.20323i | 0.0343923 | + | 0.327221i | ||||
\(166\) | 7.50657 | − | 1.59557i | 0.582623 | − | 0.123840i | ||||
\(167\) | 7.26615 | + | 3.23510i | 0.562272 | + | 0.250340i | 0.668134 | − | 0.744041i | \(-0.267093\pi\) |
−0.105862 | + | 0.994381i | \(0.533760\pi\) | |||||||
\(168\) | 0.935796 | + | 0.679896i | 0.0721982 | + | 0.0524551i | ||||
\(169\) | −12.2236 | − | 4.42520i | −0.940281 | − | 0.340400i | ||||
\(170\) | 0.167595 | + | 0.121765i | 0.0128539 | + | 0.00933893i | ||||
\(171\) | 0.375912 | − | 3.57656i | 0.0287467 | − | 0.273507i | ||||
\(172\) | 8.19665 | − | 9.10330i | 0.624988 | − | 0.694120i | ||||
\(173\) | 13.7248 | − | 6.11068i | 1.04348 | − | 0.464587i | 0.187861 | − | 0.982196i | \(-0.439844\pi\) |
0.855617 | + | 0.517609i | \(0.173178\pi\) | |||||||
\(174\) | −2.02650 | + | 1.47234i | −0.153628 | + | 0.111617i | ||||
\(175\) | −1.73102 | − | 1.92250i | −0.130853 | − | 0.145327i | ||||
\(176\) | −2.38333 | − | 22.6759i | −0.179650 | − | 1.70926i | ||||
\(177\) | −0.298584 | − | 0.918946i | −0.0224429 | − | 0.0690722i | ||||
\(178\) | −28.5080 | − | 6.05956i | −2.13676 | − | 0.454183i | ||||
\(179\) | −6.61098 | + | 1.40521i | −0.494128 | + | 0.105030i | −0.448234 | − | 0.893916i | \(-0.647947\pi\) |
−0.0458937 | + | 0.998946i | \(0.514614\pi\) | |||||||
\(180\) | −0.697236 | − | 1.20765i | −0.0519689 | − | 0.0900128i | ||||
\(181\) | 22.3718 | 1.66288 | 0.831440 | − | 0.555615i | \(-0.187517\pi\) | ||||
0.831440 | + | 0.555615i | \(0.187517\pi\) | |||||||
\(182\) | −3.69507 | + | 0.522556i | −0.273897 | + | 0.0387344i | ||||
\(183\) | −10.4188 | − | 7.56972i | −0.770182 | − | 0.559570i | ||||
\(184\) | −0.315499 | − | 0.140469i | −0.0232589 | − | 0.0103555i | ||||
\(185\) | −0.371913 | − | 0.644172i | −0.0273436 | − | 0.0473604i | ||||
\(186\) | −5.61253 | − | 9.59496i | −0.411531 | − | 0.703537i | ||||
\(187\) | 0.672629 | 0.0491875 | ||||||||
\(188\) | 0.609341 | + | 5.79749i | 0.0444407 | + | 0.422825i | ||||
\(189\) | 2.92117 | − | 1.30059i | 0.212484 | − | 0.0946039i | ||||
\(190\) | 0.927576 | − | 2.85479i | 0.0672934 | − | 0.207108i | ||||
\(191\) | −6.61265 | + | 11.4534i | −0.478474 | + | 0.828742i | −0.999695 | − | 0.0246798i | \(-0.992143\pi\) |
0.521221 | + | 0.853422i | \(0.325477\pi\) | |||||||
\(192\) | 0.438006 | + | 0.758649i | 0.0316104 | + | 0.0547508i | ||||
\(193\) | 7.53154 | − | 1.60088i | 0.542132 | − | 0.115234i | 0.0712973 | − | 0.997455i | \(-0.477286\pi\) |
0.470835 | + | 0.882221i | \(0.343953\pi\) | |||||||
\(194\) | −5.03835 | − | 15.5064i | −0.361732 | − | 1.11330i | ||||
\(195\) | 3.21255 | + | 0.918190i | 0.230056 | + | 0.0657529i | ||||
\(196\) | 5.51774 | − | 4.00887i | 0.394124 | − | 0.286348i | ||||
\(197\) | 3.02397 | − | 0.642764i | 0.215449 | − | 0.0457950i | −0.0989227 | − | 0.995095i | \(-0.531540\pi\) |
0.314371 | + | 0.949300i | \(0.398206\pi\) | |||||||
\(198\) | −12.1975 | − | 5.43068i | −0.866839 | − | 0.385942i | ||||
\(199\) | −4.36110 | + | 1.94169i | −0.309150 | + | 0.137643i | −0.555447 | − | 0.831552i | \(-0.687453\pi\) |
0.246297 | + | 0.969194i | \(0.420786\pi\) | |||||||
\(200\) | −2.27606 | − | 7.00499i | −0.160942 | − | 0.495327i | ||||
\(201\) | −9.10283 | + | 4.05284i | −0.642064 | + | 0.285865i | ||||
\(202\) | −1.92051 | + | 0.855067i | −0.135127 | + | 0.0601623i | ||||
\(203\) | 0.230678 | + | 0.709954i | 0.0161904 | + | 0.0498290i | ||||
\(204\) | 0.158680 | − | 0.0706491i | 0.0111099 | − | 0.00494643i | ||||
\(205\) | −0.451281 | − | 0.200923i | −0.0315188 | − | 0.0140331i | ||||
\(206\) | 11.1788 | − | 2.37612i | 0.778863 | − | 0.165552i | ||||
\(207\) | −0.277566 | + | 0.201664i | −0.0192922 | + | 0.0140166i | ||||
\(208\) | −17.3313 | − | 4.95351i | −1.20171 | − | 0.343464i | ||||
\(209\) | −3.01177 | − | 9.26928i | −0.208329 | − | 0.641170i | ||||
\(210\) | 0.938178 | − | 0.199416i | 0.0647405 | − | 0.0137610i | ||||
\(211\) | 7.49767 | + | 12.9863i | 0.516161 | + | 0.894017i | 0.999824 | + | 0.0187624i | \(0.00597261\pi\) |
−0.483663 | + | 0.875254i | \(0.660694\pi\) | |||||||
\(212\) | 1.61892 | − | 2.80405i | 0.111188 | − | 0.192583i | ||||
\(213\) | 3.44592 | − | 10.6054i | 0.236110 | − | 0.726673i | ||||
\(214\) | 29.2541 | − | 13.0248i | 1.99977 | − | 0.890355i | ||||
\(215\) | 1.00747 | + | 9.58546i | 0.0687090 | + | 0.653723i | ||||
\(216\) | 9.10407 | 0.619453 | ||||||||
\(217\) | −3.23634 | + | 0.707134i | −0.219697 | + | 0.0480034i | ||||
\(218\) | −5.76198 | − | 9.98005i | −0.390251 | − | 0.675934i | ||||
\(219\) | 2.86677 | + | 1.27637i | 0.193719 | + | 0.0862490i | ||||
\(220\) | −3.05742 | − | 2.22135i | −0.206131 | − | 0.149763i | ||||
\(221\) | 0.198772 | − | 0.493202i | 0.0133709 | − | 0.0331764i | ||||
\(222\) | −1.83916 | −0.123436 | ||||||||
\(223\) | −8.56954 | − | 14.8429i | −0.573859 | − | 0.993953i | −0.996165 | − | 0.0874992i | \(-0.972112\pi\) |
0.422306 | − | 0.906453i | \(-0.361221\pi\) | |||||||
\(224\) | −3.08963 | + | 0.656721i | −0.206435 | + | 0.0438790i | ||||
\(225\) | −7.15727 | − | 1.52132i | −0.477151 | − | 0.101422i | ||||
\(226\) | 9.14443 | + | 28.1437i | 0.608279 | + | 1.87209i | ||||
\(227\) | 1.50156 | + | 14.2864i | 0.0996623 | + | 0.948223i | 0.924069 | + | 0.382226i | \(0.124842\pi\) |
−0.824407 | + | 0.565998i | \(0.808491\pi\) | |||||||
\(228\) | −1.68410 | − | 1.87038i | −0.111532 | − | 0.123869i | ||||
\(229\) | −6.70630 | + | 4.87241i | −0.443165 | + | 0.321978i | −0.786891 | − | 0.617092i | \(-0.788311\pi\) |
0.343726 | + | 0.939070i | \(0.388311\pi\) | |||||||
\(230\) | −0.261610 | + | 0.116476i | −0.0172501 | + | 0.00768023i | ||||
\(231\) | 2.08384 | − | 2.31434i | 0.137107 | − | 0.152272i | ||||
\(232\) | −0.222161 | + | 2.11372i | −0.0145856 | + | 0.138772i | ||||
\(233\) | 3.46919 | + | 2.52051i | 0.227274 | + | 0.165124i | 0.695595 | − | 0.718434i | \(-0.255141\pi\) |
−0.468321 | + | 0.883559i | \(0.655141\pi\) | |||||||
\(234\) | −7.58657 | + | 7.33891i | −0.495950 | + | 0.479760i | ||||
\(235\) | −3.71070 | − | 2.69598i | −0.242060 | − | 0.175867i | ||||
\(236\) | 0.789301 | + | 0.351419i | 0.0513791 | + | 0.0228755i | ||||
\(237\) | 6.41960 | − | 1.36453i | 0.416998 | − | 0.0886356i | ||||
\(238\) | −0.0159559 | − | 0.151811i | −0.00103427 | − | 0.00984042i | ||||
\(239\) | −5.81488 | − | 17.8964i | −0.376133 | − | 1.15762i | −0.942711 | − | 0.333611i | \(-0.891733\pi\) |
0.566578 | − | 0.824008i | \(-0.308267\pi\) | |||||||
\(240\) | 4.53153 | + | 0.963206i | 0.292509 | + | 0.0621747i | ||||
\(241\) | 16.3303 | + | 18.1367i | 1.05193 | + | 1.16829i | 0.985357 | + | 0.170505i | \(0.0545397\pi\) |
0.0665726 | + | 0.997782i | \(0.478794\pi\) | |||||||
\(242\) | −17.0494 | −1.09598 | ||||||||
\(243\) | 7.41923 | − | 12.8505i | 0.475944 | − | 0.824358i | ||||
\(244\) | 11.2640 | − | 2.39425i | 0.721106 | − | 0.153276i | ||||
\(245\) | −0.560933 | + | 5.33692i | −0.0358367 | + | 0.340963i | ||||
\(246\) | −0.988151 | + | 0.717934i | −0.0630022 | + | 0.0457738i | ||||
\(247\) | −7.68669 | − | 0.530849i | −0.489092 | − | 0.0337771i | ||||
\(248\) | −9.23658 | − | 1.90855i | −0.586523 | − | 0.121193i | ||||
\(249\) | 2.53146 | + | 4.38461i | 0.160425 | + | 0.277864i | ||||
\(250\) | −11.9954 | − | 5.34072i | −0.758659 | − | 0.337777i | ||||
\(251\) | 4.85530 | − | 2.16172i | 0.306464 | − | 0.136446i | −0.247742 | − | 0.968826i | \(-0.579689\pi\) |
0.554206 | + | 0.832380i | \(0.313022\pi\) | |||||||
\(252\) | −0.317524 | + | 0.977238i | −0.0200021 | + | 0.0615602i | ||||
\(253\) | −0.464909 | + | 0.805245i | −0.0292286 | + | 0.0506253i | ||||
\(254\) | 6.97855 | − | 12.0872i | 0.437873 | − | 0.758418i | ||||
\(255\) | −0.0422327 | + | 0.129979i | −0.00264471 | + | 0.00813959i | ||||
\(256\) | −18.8332 | − | 4.00312i | −1.17708 | − | 0.250195i | ||||
\(257\) | 20.7579 | − | 23.0540i | 1.29484 | − | 1.43807i | 0.459660 | − | 0.888095i | \(-0.347971\pi\) |
0.835182 | − | 0.549973i | \(-0.185362\pi\) | |||||||
\(258\) | 21.7709 | + | 9.69305i | 1.35540 | + | 0.603463i | ||||
\(259\) | −0.169371 | + | 0.521269i | −0.0105242 | + | 0.0323901i | ||||
\(260\) | −2.53231 | + | 1.58540i | −0.157047 | + | 0.0983222i | ||||
\(261\) | 1.70817 | + | 1.24106i | 0.105733 | + | 0.0768197i | ||||
\(262\) | 18.5922 | − | 20.6487i | 1.14863 | − | 1.27568i | ||||
\(263\) | −2.61590 | + | 24.8886i | −0.161303 | + | 1.53470i | 0.552000 | + | 0.833844i | \(0.313865\pi\) |
−0.713303 | + | 0.700855i | \(0.752802\pi\) | |||||||
\(264\) | 8.10014 | − | 3.60641i | 0.498529 | − | 0.221959i | ||||
\(265\) | 0.787247 | + | 2.42290i | 0.0483602 | + | 0.148837i | ||||
\(266\) | −2.02061 | + | 0.899632i | −0.123891 | + | 0.0551600i | ||||
\(267\) | −2.00983 | − | 19.1223i | −0.123000 | − | 1.17026i | ||||
\(268\) | 2.75333 | − | 8.47386i | 0.168186 | − | 0.517624i | ||||
\(269\) | 0.618142 | + | 5.88123i | 0.0376888 | + | 0.358585i | 0.997071 | + | 0.0764767i | \(0.0243671\pi\) |
−0.959383 | + | 0.282108i | \(0.908966\pi\) | |||||||
\(270\) | 5.05131 | − | 5.61004i | 0.307413 | − | 0.341416i | ||||
\(271\) | −11.1431 | + | 12.3757i | −0.676897 | + | 0.751770i | −0.979521 | − | 0.201340i | \(-0.935470\pi\) |
0.302625 | + | 0.953110i | \(0.402137\pi\) | |||||||
\(272\) | 0.227840 | − | 0.701218i | 0.0138148 | − | 0.0425176i | ||||
\(273\) | −1.08117 | − | 2.21189i | −0.0654355 | − | 0.133870i | ||||
\(274\) | 22.9106 | 1.38408 | ||||||||
\(275\) | −19.3970 | + | 4.12297i | −1.16969 | + | 0.248624i | ||||
\(276\) | −0.0250986 | + | 0.238797i | −0.00151076 | + | 0.0143739i | ||||
\(277\) | 2.44659 | + | 23.2778i | 0.147001 | + | 1.39862i | 0.780633 | + | 0.624990i | \(0.214897\pi\) |
−0.633632 | + | 0.773635i | \(0.718436\pi\) | |||||||
\(278\) | −19.2974 | −1.15738 | ||||||||
\(279\) | −6.23001 | + | 6.99863i | −0.372981 | + | 0.418997i | ||||
\(280\) | 0.406907 | − | 0.704784i | 0.0243174 | − | 0.0421189i | ||||
\(281\) | −18.4709 | + | 13.4199i | −1.10188 | + | 0.800562i | −0.981366 | − | 0.192150i | \(-0.938454\pi\) |
−0.120513 | + | 0.992712i | \(0.538454\pi\) | |||||||
\(282\) | −10.3604 | + | 4.61276i | −0.616954 | + | 0.274686i | ||||
\(283\) | −6.26790 | + | 1.33228i | −0.372588 | + | 0.0791960i | −0.390400 | − | 0.920645i | \(-0.627663\pi\) |
0.0178121 | + | 0.999841i | \(0.494330\pi\) | |||||||
\(284\) | 4.98564 | + | 8.63539i | 0.295843 | + | 0.512416i | ||||
\(285\) | 1.98030 | 0.117303 | ||||||||
\(286\) | −10.6932 | + | 26.5325i | −0.632305 | + | 1.56890i | ||||
\(287\) | 0.112482 | + | 0.346185i | 0.00663962 | + | 0.0204346i | ||||
\(288\) | −5.97810 | + | 6.63936i | −0.352263 | + | 0.391228i | ||||
\(289\) | −15.5104 | − | 6.90568i | −0.912377 | − | 0.406216i | ||||
\(290\) | 1.17924 | + | 1.30967i | 0.0692471 | + | 0.0769067i | ||||
\(291\) | 8.70215 | − | 6.32248i | 0.510129 | − | 0.370631i | ||||
\(292\) | −2.56343 | + | 1.14131i | −0.150014 | + | 0.0667903i | ||||
\(293\) | 11.8191 | + | 2.51223i | 0.690479 | + | 0.146766i | 0.539770 | − | 0.841812i | \(-0.318511\pi\) |
0.150709 | + | 0.988578i | \(0.451844\pi\) | |||||||
\(294\) | 10.7345 | + | 7.79909i | 0.626050 | + | 0.454852i | ||||
\(295\) | −0.621035 | + | 0.276502i | −0.0361580 | + | 0.0160986i | ||||
\(296\) | −1.04418 | + | 1.15968i | −0.0606917 | + | 0.0674049i | ||||
\(297\) | 2.56212 | − | 24.3770i | 0.148670 | − | 1.41450i | ||||
\(298\) | 21.7783 | − | 15.8229i | 1.26158 | − | 0.916594i | ||||
\(299\) | 0.453055 | + | 0.578855i | 0.0262008 | + | 0.0334760i | ||||
\(300\) | −4.14292 | + | 3.01001i | −0.239191 | + | 0.173783i | ||||
\(301\) | 4.75219 | − | 5.27784i | 0.273912 | − | 0.304210i | ||||
\(302\) | 3.91523 | − | 4.34830i | 0.225296 | − | 0.250217i | ||||
\(303\) | −0.928028 | − | 1.03068i | −0.0533138 | − | 0.0592110i | ||||
\(304\) | −10.6834 | −0.612737 | ||||||||
\(305\) | −4.53036 | + | 7.84682i | −0.259408 | + | 0.449308i | ||||
\(306\) | −0.288901 | − | 0.320857i | −0.0165154 | − | 0.0183422i | ||||
\(307\) | 1.05088 | + | 0.763512i | 0.0599771 | + | 0.0435759i | 0.617370 | − | 0.786673i | \(-0.288198\pi\) |
−0.557393 | + | 0.830249i | \(0.688198\pi\) | |||||||
\(308\) | 0.291083 | + | 2.76947i | 0.0165860 | + | 0.157805i | ||||
\(309\) | 3.76985 | + | 6.52957i | 0.214459 | + | 0.371454i | ||||
\(310\) | −6.30090 | + | 4.63276i | −0.357867 | + | 0.263123i | ||||
\(311\) | −5.26260 | −0.298415 | −0.149207 | − | 0.988806i | \(-0.547672\pi\) | ||||
−0.149207 | + | 0.988806i | \(0.547672\pi\) | |||||||
\(312\) | −0.250669 | − | 7.00514i | −0.0141914 | − | 0.396588i | ||||
\(313\) | 9.95647 | + | 7.23380i | 0.562773 | + | 0.408878i | 0.832473 | − | 0.554066i | \(-0.186925\pi\) |
−0.269700 | + | 0.962944i | \(0.586925\pi\) | |||||||
\(314\) | −0.0813777 | + | 0.0172974i | −0.00459241 | + | 0.000976147i | ||||
\(315\) | −0.404238 | − | 0.700161i | −0.0227762 | − | 0.0394496i | ||||
\(316\) | −2.93428 | + | 5.08233i | −0.165066 | + | 0.285903i | ||||
\(317\) | −5.59445 | + | 17.2179i | −0.314215 | + | 0.967055i | 0.661861 | + | 0.749627i | \(0.269767\pi\) |
−0.976076 | + | 0.217429i | \(0.930233\pi\) | |||||||
\(318\) | 6.16144 | + | 1.30965i | 0.345516 | + | 0.0734417i | ||||
\(319\) | 5.59715 | + | 1.18971i | 0.313380 | + | 0.0666110i | ||||
\(320\) | 0.498620 | − | 0.362269i | 0.0278737 | − | 0.0202514i | ||||
\(321\) | 14.1362 | + | 15.6998i | 0.789003 | + | 0.876277i | ||||
\(322\) | 0.192770 | + | 0.0858268i | 0.0107427 | + | 0.00478294i | ||||
\(323\) | 0.0329436 | − | 0.313438i | 0.00183303 | − | 0.0174402i | ||||
\(324\) | −0.354963 | − | 1.09246i | −0.0197201 | − | 0.0606924i | ||||
\(325\) | −2.70898 | + | 15.4412i | −0.150267 | + | 0.856523i | ||||
\(326\) | 30.1844 | + | 21.9302i | 1.67176 | + | 1.21460i | ||||
\(327\) | 5.08717 | − | 5.64988i | 0.281321 | − | 0.312439i | ||||
\(328\) | −0.108329 | + | 1.03068i | −0.00598147 | + | 0.0569099i | ||||
\(329\) | 0.353279 | + | 3.36122i | 0.0194769 | + | 0.185310i | ||||
\(330\) | 2.27197 | − | 6.99240i | 0.125068 | − | 0.384919i | ||||
\(331\) | 1.76546 | + | 16.7972i | 0.0970384 | + | 0.923259i | 0.929412 | + | 0.369044i | \(0.120315\pi\) |
−0.832374 | + | 0.554215i | \(0.813019\pi\) | |||||||
\(332\) | −4.42827 | − | 0.941257i | −0.243033 | − | 0.0516582i | ||||
\(333\) | 0.479058 | + | 1.47439i | 0.0262522 | + | 0.0807961i | ||||
\(334\) | −9.25840 | − | 10.2825i | −0.506597 | − | 0.562633i | ||||
\(335\) | 3.50524 | + | 6.07126i | 0.191512 | + | 0.331708i | ||||
\(336\) | −1.70685 | − | 2.95635i | −0.0931162 | − | 0.161282i | ||||
\(337\) | 5.82027 | − | 17.9130i | 0.317050 | − | 0.975781i | −0.657852 | − | 0.753147i | \(-0.728535\pi\) |
0.974902 | − | 0.222633i | \(-0.0714653\pi\) | |||||||
\(338\) | 16.2948 | + | 15.6815i | 0.886322 | + | 0.852963i | ||||
\(339\) | −15.7941 | + | 11.4751i | −0.857819 | + | 0.623242i | ||||
\(340\) | −0.0611034 | − | 0.105834i | −0.00331380 | − | 0.00573966i | ||||
\(341\) | −7.70973 | + | 24.1947i | −0.417505 | + | 1.31022i | ||||
\(342\) | −3.12804 | + | 5.41792i | −0.169145 | + | 0.292968i | ||||
\(343\) | 6.56846 | − | 4.77227i | 0.354663 | − | 0.257678i | ||||
\(344\) | 18.4723 | − | 8.22441i | 0.995961 | − | 0.443431i | ||||
\(345\) | −0.126415 | − | 0.140398i | −0.00680596 | − | 0.00755879i | ||||
\(346\) | −26.1353 | −1.40504 | ||||||||
\(347\) | 2.09423 | − | 3.62731i | 0.112424 | − | 0.194724i | −0.804323 | − | 0.594192i | \(-0.797472\pi\) |
0.916747 | + | 0.399468i | \(0.130805\pi\) | |||||||
\(348\) | 1.44539 | − | 0.307227i | 0.0774809 | − | 0.0164691i | ||||
\(349\) | 12.7675 | − | 14.1797i | 0.683426 | − | 0.759022i | −0.297220 | − | 0.954809i | \(-0.596060\pi\) |
0.980646 | + | 0.195787i | \(0.0627262\pi\) | |||||||
\(350\) | 1.39067 | + | 4.28005i | 0.0743347 | + | 0.228779i | ||||
\(351\) | −17.1172 | − | 9.08244i | −0.913646 | − | 0.484785i | ||||
\(352\) | −7.48209 | + | 23.0275i | −0.398797 | + | 1.22737i | ||||
\(353\) | −16.3132 | − | 7.26310i | −0.868263 | − | 0.386576i | −0.0762564 | − | 0.997088i | \(-0.524297\pi\) |
−0.792006 | + | 0.610513i | \(0.790963\pi\) | |||||||
\(354\) | −0.175699 | + | 1.67166i | −0.00933829 | + | 0.0888479i | ||||
\(355\) | −7.67412 | − | 1.63118i | −0.407300 | − | 0.0865743i | ||||
\(356\) | 13.9095 | + | 10.1058i | 0.737202 | + | 0.535609i | ||||
\(357\) | 0.0919986 | − | 0.0409604i | 0.00486908 | − | 0.00216785i | ||||
\(358\) | 11.5005 | + | 2.44451i | 0.607820 | + | 0.129196i | ||||
\(359\) | 7.04152 | + | 5.11597i | 0.371637 | + | 0.270010i | 0.757890 | − | 0.652383i | \(-0.226231\pi\) |
−0.386252 | + | 0.922393i | \(0.626231\pi\) | |||||||
\(360\) | −0.240608 | − | 2.28923i | −0.0126812 | − | 0.120653i | ||||
\(361\) | 14.1179 | − | 3.00085i | 0.743048 | − | 0.157940i | ||||
\(362\) | −35.5534 | − | 15.8294i | −1.86864 | − | 0.831974i | ||||
\(363\) | −3.47580 | − | 10.6974i | −0.182432 | − | 0.561468i | ||||
\(364\) | 2.11672 | + | 0.604986i | 0.110946 | + | 0.0317099i | ||||
\(365\) | 0.682256 | − | 2.09977i | 0.0357109 | − | 0.109907i | ||||
\(366\) | 11.2016 | + | 19.4018i | 0.585519 | + | 1.01415i | ||||
\(367\) | 14.6364 | + | 25.3510i | 0.764014 | + | 1.32331i | 0.940766 | + | 0.339056i | \(0.110108\pi\) |
−0.176752 | + | 0.984255i | \(0.556559\pi\) | |||||||
\(368\) | 0.681992 | + | 0.757429i | 0.0355513 | + | 0.0394837i | ||||
\(369\) | 0.832932 | + | 0.605161i | 0.0433607 | + | 0.0315034i | ||||
\(370\) | 0.135256 | + | 1.28687i | 0.00703162 | + | 0.0669014i | ||||
\(371\) | 0.938606 | − | 1.62571i | 0.0487300 | − | 0.0844028i | ||||
\(372\) | 0.722461 | + | 6.51757i | 0.0374579 | + | 0.337920i | ||||
\(373\) | 5.39321 | − | 9.34132i | 0.279250 | − | 0.483675i | −0.691949 | − | 0.721947i | \(-0.743248\pi\) |
0.971199 | + | 0.238272i | \(0.0765808\pi\) | |||||||
\(374\) | −1.06895 | − | 0.475926i | −0.0552740 | − | 0.0246096i | ||||
\(375\) | 0.905491 | − | 8.61518i | 0.0467594 | − | 0.444886i | ||||
\(376\) | −2.97354 | + | 9.15162i | −0.153349 | + | 0.471959i | ||||
\(377\) | 2.52639 | − | 3.75251i | 0.130116 | − | 0.193264i | ||||
\(378\) | −5.56259 | −0.286109 | ||||||||
\(379\) | 1.01035 | − | 0.214756i | 0.0518980 | − | 0.0110313i | −0.181890 | − | 0.983319i | \(-0.558221\pi\) |
0.233788 | + | 0.972288i | \(0.424888\pi\) | |||||||
\(380\) | −1.18487 | + | 1.31593i | −0.0607825 | + | 0.0675058i | ||||
\(381\) | 9.00664 | + | 1.91442i | 0.461424 | + | 0.0980788i | ||||
\(382\) | 18.6129 | − | 13.5231i | 0.952318 | − | 0.691899i | ||||
\(383\) | −12.9042 | − | 14.3315i | −0.659371 | − | 0.732306i | 0.316995 | − | 0.948427i | \(-0.397326\pi\) |
−0.976367 | + | 0.216121i | \(0.930659\pi\) | |||||||
\(384\) | −1.43303 | − | 13.6344i | −0.0731290 | − | 0.695776i | ||||
\(385\) | −1.77261 | − | 1.28788i | −0.0903406 | − | 0.0656363i | ||||
\(386\) | −13.1019 | − | 2.78490i | −0.666869 | − | 0.141747i | ||||
\(387\) | 2.09975 | − | 19.9778i | 0.106736 | − | 1.01553i | ||||
\(388\) | −1.00538 | + | 9.56560i | −0.0510407 | + | 0.485620i | ||||
\(389\) | 1.61964 | + | 4.98473i | 0.0821188 | + | 0.252736i | 0.983683 | − | 0.179909i | \(-0.0575804\pi\) |
−0.901564 | + | 0.432645i | \(0.857580\pi\) | |||||||
\(390\) | −4.45574 | − | 3.73227i | −0.225625 | − | 0.188991i | ||||
\(391\) | −0.0243250 | + | 0.0176731i | −0.00123017 | + | 0.000893769i | ||||
\(392\) | 11.0122 | − | 2.34071i | 0.556200 | − | 0.118224i | ||||
\(393\) | 16.7460 | + | 7.45582i | 0.844726 | + | 0.376096i | ||||
\(394\) | −5.26051 | − | 1.11816i | −0.265020 | − | 0.0563318i | ||||
\(395\) | −1.42688 | − | 4.39149i | −0.0717942 | − | 0.220960i | ||||
\(396\) | 5.27040 | + | 5.85338i | 0.264848 | + | 0.294143i | ||||
\(397\) | −9.40625 | + | 16.2921i | −0.472086 | + | 0.817677i | −0.999490 | − | 0.0319378i | \(-0.989832\pi\) |
0.527404 | + | 0.849615i | \(0.323166\pi\) | |||||||
\(398\) | 8.30456 | 0.416270 | ||||||||
\(399\) | −0.976396 | − | 1.08440i | −0.0488809 | − | 0.0542878i | ||||
\(400\) | −2.27215 | + | 21.6180i | −0.113607 | + | 1.08090i | ||||
\(401\) | −23.7454 | − | 10.5721i | −1.18579 | − | 0.527946i | −0.283454 | − | 0.958986i | \(-0.591480\pi\) |
−0.902333 | + | 0.431040i | \(0.858147\pi\) | |||||||
\(402\) | 17.3339 | 0.864538 | ||||||||
\(403\) | 15.4623 | + | 12.8030i | 0.770232 | + | 0.637764i | ||||
\(404\) | 1.24016 | 0.0617004 | ||||||||
\(405\) | 0.825664 | + | 0.367609i | 0.0410276 | + | 0.0182667i | ||||
\(406\) | 0.135740 | − | 1.29148i | 0.00673668 | − | 0.0640952i | ||||
\(407\) | 2.81129 | + | 3.12225i | 0.139350 | + | 0.154764i | ||||
\(408\) | 0.286721 | 0.0141948 | ||||||||
\(409\) | 2.66483 | − | 4.61562i | 0.131767 | − | 0.228228i | −0.792591 | − | 0.609754i | \(-0.791268\pi\) |
0.924358 | + | 0.381526i | \(0.124601\pi\) | |||||||
\(410\) | 0.575014 | + | 0.638618i | 0.0283979 | + | 0.0315391i | ||||
\(411\) | 4.67070 | + | 14.3749i | 0.230389 | + | 0.709064i | ||||
\(412\) | −6.59457 | − | 1.40172i | −0.324891 | − | 0.0690578i | ||||
\(413\) | 0.457615 | + | 0.203743i | 0.0225178 | + | 0.0100256i | ||||
\(414\) | 0.583800 | − | 0.124091i | 0.0286922 | − | 0.00609872i | ||||
\(415\) | 2.88178 | − | 2.09373i | 0.141461 | − | 0.102777i | ||||
\(416\) | 14.6737 | + | 12.2912i | 0.719439 | + | 0.602626i | ||||
\(417\) | −3.93410 | − | 12.1079i | −0.192654 | − | 0.592927i | ||||
\(418\) | −1.77225 | + | 16.8618i | −0.0866836 | + | 0.824739i | ||||
\(419\) | 1.44754 | − | 13.7725i | 0.0707172 | − | 0.672829i | −0.900536 | − | 0.434781i | \(-0.856826\pi\) |
0.971253 | − | 0.238048i | \(-0.0765075\pi\) | |||||||
\(420\) | −0.553449 | − | 0.117639i | −0.0270055 | − | 0.00574021i | ||||
\(421\) | 23.3285 | + | 16.9492i | 1.13696 | + | 0.826052i | 0.986693 | − | 0.162593i | \(-0.0519858\pi\) |
0.150270 | + | 0.988645i | \(0.451986\pi\) | |||||||
\(422\) | −2.72673 | − | 25.9431i | −0.132735 | − | 1.26289i | ||||
\(423\) | 6.39653 | + | 7.10407i | 0.311010 | + | 0.345412i | ||||
\(424\) | 4.32394 | − | 3.14153i | 0.209989 | − | 0.152566i | ||||
\(425\) | −0.627239 | − | 0.133324i | −0.0304255 | − | 0.00646715i | ||||
\(426\) | −12.9803 | + | 14.4161i | −0.628896 | + | 0.698460i | ||||
\(427\) | 6.53058 | − | 1.38812i | 0.316037 | − | 0.0671758i | ||||
\(428\) | −18.8907 | −0.913119 | ||||||||
\(429\) | −18.8275 | − | 1.30024i | −0.908998 | − | 0.0627762i | ||||
\(430\) | 5.18121 | − | 15.9461i | 0.249860 | − | 0.768991i | ||||
\(431\) | −1.52963 | + | 14.5534i | −0.0736795 | + | 0.701014i | 0.893869 | + | 0.448328i | \(0.147980\pi\) |
−0.967548 | + | 0.252686i | \(0.918686\pi\) | |||||||
\(432\) | −24.5452 | − | 10.9282i | −1.18093 | − | 0.525785i | ||||
\(433\) | 5.97309 | − | 10.3457i | 0.287048 | − | 0.497182i | −0.686056 | − | 0.727549i | \(-0.740659\pi\) |
0.973104 | + | 0.230367i | \(0.0739927\pi\) | |||||||
\(434\) | 5.64356 | + | 1.16612i | 0.270900 | + | 0.0559758i | ||||
\(435\) | −0.581331 | + | 1.00689i | −0.0278727 | + | 0.0482769i | ||||
\(436\) | 0.710606 | + | 6.76096i | 0.0340318 | + | 0.323791i | ||||
\(437\) | 0.352466 | + | 0.256081i | 0.0168607 | + | 0.0122500i | ||||
\(438\) | −3.65279 | − | 4.05683i | −0.174537 | − | 0.193843i | ||||
\(439\) | −18.2608 | − | 31.6287i | −0.871542 | − | 1.50956i | −0.860401 | − | 0.509618i | \(-0.829787\pi\) |
−0.0111416 | − | 0.999938i | \(-0.503547\pi\) | |||||||
\(440\) | −3.11914 | − | 5.40250i | −0.148699 | − | 0.257554i | ||||
\(441\) | 3.45616 | − | 10.6370i | 0.164579 | − | 0.506522i | ||||
\(442\) | −0.664861 | + | 0.643157i | −0.0316242 | + | 0.0305919i | ||||
\(443\) | −0.813771 | − | 2.50453i | −0.0386634 | − | 0.118994i | 0.929862 | − | 0.367909i | \(-0.119926\pi\) |
−0.968525 | + | 0.248915i | \(0.919926\pi\) | |||||||
\(444\) | 0.991156 | + | 0.441291i | 0.0470382 | + | 0.0209427i | ||||
\(445\) | −13.2322 | + | 2.81259i | −0.627266 | + | 0.133329i | ||||
\(446\) | 3.11654 | + | 29.6519i | 0.147572 | + | 1.40406i | ||||
\(447\) | 14.3677 | + | 10.4388i | 0.679570 | + | 0.493736i | ||||
\(448\) | −0.444223 | − | 0.0944225i | −0.0209876 | − | 0.00446104i | ||||
\(449\) | 21.4761 | − | 9.56178i | 1.01352 | − | 0.451248i | 0.168340 | − | 0.985729i | \(-0.446159\pi\) |
0.845181 | + | 0.534481i | \(0.179493\pi\) | |||||||
\(450\) | 10.2980 | + | 7.48191i | 0.485450 | + | 0.352700i | ||||
\(451\) | 2.72926 | + | 0.580122i | 0.128516 | + | 0.0273169i | ||||
\(452\) | 1.82474 | − | 17.3612i | 0.0858286 | − | 0.816604i | ||||
\(453\) | 3.52647 | + | 1.57008i | 0.165688 | + | 0.0737690i | ||||
\(454\) | 7.72222 | − | 23.7666i | 0.362422 | − | 1.11542i | ||||
\(455\) | −1.46816 | + | 0.919171i | −0.0688286 | + | 0.0430914i | ||||
\(456\) | −1.28383 | − | 3.95121i | −0.0601207 | − | 0.185032i | ||||
\(457\) | −1.04170 | + | 1.15692i | −0.0487286 | + | 0.0541186i | −0.767016 | − | 0.641628i | \(-0.778259\pi\) |
0.718288 | + | 0.695746i | \(0.244926\pi\) | |||||||
\(458\) | 14.1052 | − | 2.99816i | 0.659094 | − | 0.140095i | ||||
\(459\) | 0.396308 | − | 0.686426i | 0.0184981 | − | 0.0320396i | ||||
\(460\) | 0.168934 | 0.00787659 | ||||||||
\(461\) | −17.6818 | − | 19.6377i | −0.823525 | − | 0.914617i | 0.174013 | − | 0.984743i | \(-0.444327\pi\) |
−0.997538 | + | 0.0701261i | \(0.977660\pi\) | |||||||
\(462\) | −4.94919 | + | 2.20352i | −0.230257 | + | 0.102517i | ||||
\(463\) | −29.1742 | + | 21.1963i | −1.35584 | + | 0.985076i | −0.357144 | + | 0.934049i | \(0.616249\pi\) |
−0.998697 | + | 0.0510268i | \(0.983751\pi\) | |||||||
\(464\) | 3.13620 | − | 5.43205i | 0.145594 | − | 0.252177i | ||||
\(465\) | −4.19131 | − | 3.00895i | −0.194367 | − | 0.139537i | ||||
\(466\) | −3.72985 | − | 6.46029i | −0.172782 | − | 0.299267i | ||||
\(467\) | 6.62641 | − | 4.81437i | 0.306634 | − | 0.222782i | −0.423817 | − | 0.905748i | \(-0.639310\pi\) |
0.730451 | + | 0.682965i | \(0.239310\pi\) | |||||||
\(468\) | 5.84945 | − | 2.13474i | 0.270391 | − | 0.0986782i | ||||
\(469\) | 1.59630 | − | 4.91291i | 0.0737104 | − | 0.226857i | ||||
\(470\) | 3.98951 | + | 6.91003i | 0.184022 | + | 0.318736i | ||||
\(471\) | −0.0274432 | − | 0.0475330i | −0.00126452 | − | 0.00219021i | ||||
\(472\) | 0.954310 | + | 1.05987i | 0.0439257 | + | 0.0487844i | ||||
\(473\) | −16.8230 | − | 51.7760i | −0.773524 | − | 2.38066i | ||||
\(474\) | −11.1676 | − | 2.37374i | −0.512943 | − | 0.109029i | ||||
\(475\) | 0.971241 | + | 9.24074i | 0.0445636 | + | 0.423994i | ||||
\(476\) | −0.0278267 | + | 0.0856419i | −0.00127544 | + | 0.00392539i | ||||
\(477\) | −0.555007 | − | 5.28054i | −0.0254120 | − | 0.241779i | ||||
\(478\) | −3.42171 | + | 32.5554i | −0.156505 | + | 1.48905i | ||||
\(479\) | −20.6628 | + | 22.9484i | −0.944109 | + | 1.04854i | 0.0546388 | + | 0.998506i | \(0.482599\pi\) |
−0.998748 | + | 0.0500329i | \(0.984067\pi\) | |||||||
\(480\) | −3.98005 | − | 2.89168i | −0.181664 | − | 0.131986i | ||||
\(481\) | 3.12015 | − | 1.13869i | 0.142267 | − | 0.0519198i | ||||
\(482\) | −13.1195 | − | 40.3777i | −0.597577 | − | 1.83915i | ||||
\(483\) | −0.0145515 | + | 0.138448i | −0.000662116 | + | 0.00629961i | ||||
\(484\) | 9.18821 | + | 4.09086i | 0.417646 | + | 0.185948i | ||||
\(485\) | −5.06386 | − | 5.62399i | −0.229938 | − | 0.255372i | ||||
\(486\) | −20.8832 | + | 15.1725i | −0.947281 | + | 0.688240i | ||||
\(487\) | −38.5362 | − | 8.19112i | −1.74624 | − | 0.371175i | −0.779394 | − | 0.626534i | \(-0.784473\pi\) |
−0.966846 | + | 0.255359i | \(0.917806\pi\) | |||||||
\(488\) | 18.5935 | + | 3.95217i | 0.841687 | + | 0.178906i | ||||
\(489\) | −7.60624 | + | 23.4096i | −0.343966 | + | 1.05862i | ||||
\(490\) | 4.66764 | − | 8.08458i | 0.210862 | − | 0.365224i | ||||
\(491\) | −1.57621 | − | 2.73007i | −0.0711333 | − | 0.123206i | 0.828265 | − | 0.560337i | \(-0.189328\pi\) |
−0.899398 | + | 0.437130i | \(0.855995\pi\) | |||||||
\(492\) | 0.704794 | − | 0.149809i | 0.0317746 | − | 0.00675390i | ||||
\(493\) | 0.149698 | + | 0.108762i | 0.00674208 | + | 0.00489841i | ||||
\(494\) | 11.8401 | + | 6.28243i | 0.532713 | + | 0.282660i | ||||
\(495\) | −6.19735 | −0.278550 | ||||||||
\(496\) | 22.6115 | + | 16.2329i | 1.01529 | + | 0.728878i | ||||
\(497\) | 2.89054 | + | 5.00656i | 0.129658 | + | 0.224575i | ||||
\(498\) | −0.920632 | − | 8.75923i | −0.0412545 | − | 0.392510i | ||||
\(499\) | −7.28364 | − | 5.29187i | −0.326060 | − | 0.236897i | 0.412697 | − | 0.910869i | \(-0.364587\pi\) |
−0.738757 | + | 0.673972i | \(0.764587\pi\) | |||||||
\(500\) | 5.18310 | + | 5.75641i | 0.231795 | + | 0.257435i | ||||
\(501\) | 4.56414 | − | 7.90531i | 0.203911 | − | 0.353183i | ||||
\(502\) | −9.24562 | −0.412652 | ||||||||
\(503\) | 2.41702 | + | 2.68437i | 0.107769 | + | 0.119690i | 0.794616 | − | 0.607112i | \(-0.207672\pi\) |
−0.686847 | + | 0.726802i | \(0.741006\pi\) | |||||||
\(504\) | −1.13494 | + | 1.26047i | −0.0505541 | + | 0.0561460i | ||||
\(505\) | −0.652925 | + | 0.725146i | −0.0290548 | + | 0.0322686i | ||||
\(506\) | 1.30860 | − | 0.950751i | 0.0581742 | − | 0.0422660i | ||||
\(507\) | −6.51720 | + | 13.4209i | −0.289439 | + | 0.596043i | ||||
\(508\) | −6.66108 | + | 4.83956i | −0.295538 | + | 0.214721i | ||||
\(509\) | −0.286961 | + | 2.73025i | −0.0127193 | + | 0.121016i | −0.999039 | − | 0.0438267i | \(-0.986045\pi\) |
0.986320 | + | 0.164843i | \(0.0527117\pi\) | |||||||
\(510\) | 0.159085 | − | 0.176681i | 0.00704438 | − | 0.00782358i | ||||
\(511\) | −1.48621 | + | 0.661702i | −0.0657460 | + | 0.0292720i | ||||
\(512\) | 7.76912 | + | 5.64459i | 0.343350 | + | 0.249458i | ||||
\(513\) | −11.2339 | − | 2.38784i | −0.495990 | − | 0.105426i | ||||
\(514\) | −49.3007 | + | 21.9501i | −2.17456 | + | 0.968177i | ||||
\(515\) | 4.29154 | − | 3.11799i | 0.189108 | − | 0.137395i | ||||
\(516\) | −9.40698 | − | 10.4475i | −0.414119 | − | 0.459926i | ||||
\(517\) | 23.6675 | + | 10.5374i | 1.04089 | + | 0.463436i | ||||
\(518\) | 0.637995 | − | 0.708565i | 0.0280319 | − | 0.0311326i | ||||
\(519\) | −5.32811 | − | 16.3982i | −0.233878 | − | 0.719802i | ||||
\(520\) | −4.88311 | + | 0.690568i | −0.214139 | + | 0.0302834i | ||||
\(521\) | 4.27928 | 0.187479 | 0.0937394 | − | 0.995597i | \(-0.470118\pi\) | ||||
0.0937394 | + | 0.995597i | \(0.470118\pi\) | |||||||
\(522\) | −1.83652 | − | 3.18094i | −0.0803822 | − | 0.139226i | ||||
\(523\) | −31.4643 | + | 6.68795i | −1.37584 | + | 0.292444i | −0.835725 | − | 0.549148i | \(-0.814952\pi\) |
−0.540114 | + | 0.841592i | \(0.681619\pi\) | |||||||
\(524\) | −14.9741 | + | 6.66690i | −0.654147 | + | 0.291245i | ||||
\(525\) | −2.40195 | + | 1.74512i | −0.104830 | + | 0.0761632i | ||||
\(526\) | 21.7674 | − | 37.7023i | 0.949106 | − | 1.64390i | ||||
\(527\) | −0.545976 | + | 0.613336i | −0.0237831 | + | 0.0267173i | ||||
\(528\) | −26.1676 | −1.13880 | ||||||||
\(529\) | 2.39981 | + | 22.8327i | 0.104340 | + | 0.992725i | ||||
\(530\) | 0.463248 | − | 4.40751i | 0.0201222 | − | 0.191450i | ||||
\(531\) | 1.38588 | − | 0.294577i | 0.0601420 | − | 0.0127836i | ||||
\(532\) | 1.30480 | 0.0565702 | ||||||||
\(533\) | 1.23191 | − | 1.82978i | 0.0533600 | − | 0.0792566i | ||||
\(534\) | −10.3361 | + | 31.8114i | −0.447288 | + | 1.37661i | ||||
\(535\) | 9.94565 | − | 11.0458i | 0.429988 | − | 0.477550i | ||||
\(536\) | 9.84130 | − | 10.9299i | 0.425079 | − | 0.472098i | ||||
\(537\) | 0.810793 | + | 7.71418i | 0.0349883 | + | 0.332891i | ||||
\(538\) | 3.17897 | − | 9.78388i | 0.137055 | − | 0.421813i | ||||
\(539\) | −3.16836 | − | 30.1449i | −0.136471 | − | 1.29843i | ||||
\(540\) | −4.06832 | + | 1.81133i | −0.175073 | + | 0.0779474i | ||||
\(541\) | 3.45311 | + | 10.6276i | 0.148461 | + | 0.456916i | 0.997440 | − | 0.0715111i | \(-0.0227821\pi\) |
−0.848979 | + | 0.528427i | \(0.822782\pi\) | |||||||
\(542\) | 26.4653 | − | 11.7831i | 1.13678 | − | 0.506128i | ||||
\(543\) | 2.68379 | − | 25.5346i | 0.115173 | − | 1.09579i | ||||
\(544\) | −0.523901 | + | 0.581850i | −0.0224621 | + | 0.0249466i | ||||
\(545\) | −4.32738 | − | 3.14403i | −0.185365 | − | 0.134675i | ||||
\(546\) | 0.153159 | + | 4.28015i | 0.00655461 | + | 0.183173i | ||||
\(547\) | −1.08574 | + | 3.34156i | −0.0464228 | + | 0.142875i | −0.971581 | − | 0.236707i | \(-0.923932\pi\) |
0.925158 | + | 0.379581i | \(0.123932\pi\) | |||||||
\(548\) | −12.3469 | − | 5.49720i | −0.527434 | − | 0.234829i | ||||
\(549\) | 12.6360 | − | 14.0337i | 0.539291 | − | 0.598943i | ||||
\(550\) | 33.7432 | + | 7.17234i | 1.43881 | + | 0.305829i | ||||
\(551\) | 0.828526 | − | 2.54994i | 0.0352964 | − | 0.108631i | ||||
\(552\) | −0.198176 | + | 0.343251i | −0.00843494 | + | 0.0146097i | ||||
\(553\) | −1.70122 | + | 2.94660i | −0.0723431 | + | 0.125302i | ||||
\(554\) | 12.5823 | − | 38.7243i | 0.534570 | − | 1.64524i | ||||
\(555\) | −0.779857 | + | 0.347215i | −0.0331031 | + | 0.0147385i | ||||
\(556\) | 10.3997 | + | 4.63025i | 0.441046 | + | 0.196366i | ||||
\(557\) | −2.30090 | − | 3.98527i | −0.0974921 | − | 0.168861i | 0.813154 | − | 0.582049i | \(-0.197749\pi\) |
−0.910646 | + | 0.413188i | \(0.864415\pi\) | |||||||
\(558\) | 14.8527 | − | 6.71417i | 0.628766 | − | 0.284233i | ||||
\(559\) | −42.9359 | − | 2.96519i | −1.81600 | − | 0.125414i | ||||
\(560\) | −1.94305 | + | 1.41171i | −0.0821089 | + | 0.0596556i | ||||
\(561\) | 0.0806909 | − | 0.767722i | 0.00340677 | − | 0.0324133i | ||||
\(562\) | 38.8494 | − | 8.25770i | 1.63876 | − | 0.348330i | ||||
\(563\) | −12.6638 | + | 21.9344i | −0.533717 | + | 0.924425i | 0.465507 | + | 0.885044i | \(0.345872\pi\) |
−0.999224 | + | 0.0393810i | \(0.987461\pi\) | |||||||
\(564\) | 6.69021 | 0.281709 | ||||||||
\(565\) | 9.19074 | + | 10.2074i | 0.386657 | + | 0.429427i | ||||
\(566\) | 10.9037 | + | 2.31765i | 0.458315 | + | 0.0974179i | ||||
\(567\) | −0.205798 | − | 0.633380i | −0.00864269 | − | 0.0265995i | ||||
\(568\) | 1.72049 | + | 16.3694i | 0.0721901 | + | 0.686843i | ||||
\(569\) | 7.48659 | − | 1.59132i | 0.313854 | − | 0.0667118i | −0.0482915 | − | 0.998833i | \(-0.515378\pi\) |
0.362146 | + | 0.932122i | \(0.382044\pi\) | |||||||
\(570\) | −3.14711 | − | 1.40118i | −0.131818 | − | 0.0586891i | ||||
\(571\) | 7.94949 | + | 5.77564i | 0.332676 | + | 0.241703i | 0.741565 | − | 0.670881i | \(-0.234084\pi\) |
−0.408889 | + | 0.912584i | \(0.634084\pi\) | |||||||
\(572\) | 12.1290 | − | 11.7331i | 0.507140 | − | 0.490585i | ||||
\(573\) | 12.2794 | + | 8.92150i | 0.512979 | + | 0.372701i | ||||
\(574\) | 0.0661892 | − | 0.629748i | 0.00276268 | − | 0.0262852i | ||||
\(575\) | 0.593145 | − | 0.658755i | 0.0247359 | − | 0.0274720i | ||||
\(576\) | −1.17348 | + | 0.522469i | −0.0488952 | + | 0.0217695i | ||||
\(577\) | −7.44835 | + | 5.41154i | −0.310079 | + | 0.225286i | −0.731930 | − | 0.681379i | \(-0.761380\pi\) |
0.421851 | + | 0.906665i | \(0.361380\pi\) | |||||||
\(578\) | 19.7631 | + | 21.9491i | 0.822035 | + | 0.912963i | ||||
\(579\) | −0.923694 | − | 8.78836i | −0.0383874 | − | 0.365232i | ||||
\(580\) | −0.321266 | − | 0.988754i | −0.0133398 | − | 0.0410558i | ||||
\(581\) | −2.56739 | − | 0.545715i | −0.106513 | − | 0.0226401i | ||||
\(582\) | −18.3031 | + | 3.89044i | −0.758687 | + | 0.161264i | ||||
\(583\) | −7.19486 | − | 12.4619i | −0.297980 | − | 0.516117i | ||||
\(584\) | −4.63189 | −0.191669 | ||||||||
\(585\) | −1.83141 | + | 4.54418i | −0.0757196 | + | 0.187879i | ||||
\(586\) | −17.0055 | − | 12.3552i | −0.702489 | − | 0.510388i | ||||
\(587\) | 11.2841 | + | 5.02402i | 0.465746 | + | 0.207363i | 0.626173 | − | 0.779684i | \(-0.284620\pi\) |
−0.160427 | + | 0.987048i | \(0.551287\pi\) | |||||||
\(588\) | −3.91370 | − | 6.77872i | −0.161398 | − | 0.279550i | ||||
\(589\) | 10.8969 | + | 4.77764i | 0.448997 | + | 0.196859i | ||||
\(590\) | 1.18260 | 0.0486867 | ||||||||
\(591\) | −0.370869 | − | 3.52859i | −0.0152555 | − | 0.145147i | ||||
\(592\) | 4.20722 | − | 1.87318i | 0.172916 | − | 0.0769871i | ||||
\(593\) | −5.83493 | + | 17.9581i | −0.239612 | + | 0.737450i | 0.756864 | + | 0.653572i | \(0.226730\pi\) |
−0.996476 | + | 0.0838775i | \(0.973270\pi\) | |||||||
\(594\) | −21.3200 | + | 36.9272i | −0.874768 | + | 1.51514i | ||||
\(595\) | −0.0354261 | − | 0.0613597i | −0.00145233 | − | 0.00251550i | ||||
\(596\) | −15.5333 | + | 3.30170i | −0.636268 | + | 0.135243i | ||||
\(597\) | 1.69302 | + | 5.21059i | 0.0692908 | + | 0.213255i | ||||
\(598\) | −0.310423 | − | 1.24048i | −0.0126941 | − | 0.0507272i | ||||
\(599\) | 25.1368 | − | 18.2630i | 1.02706 | − | 0.746205i | 0.0593438 | − | 0.998238i | \(-0.481099\pi\) |
0.967719 | + | 0.252033i | \(0.0810992\pi\) | |||||||
\(600\) | −8.26836 | + | 1.75749i | −0.337554 | + | 0.0717494i | ||||
\(601\) | 31.3369 | + | 13.9521i | 1.27826 | + | 0.569118i | 0.929751 | − | 0.368188i | \(-0.120022\pi\) |
0.348508 | + | 0.937306i | \(0.386689\pi\) | |||||||
\(602\) | −11.2866 | + | 5.02513i | −0.460008 | + | 0.204809i | ||||
\(603\) | −4.51508 | − | 13.8960i | −0.183868 | − | 0.565889i | ||||
\(604\) | −3.15332 | + | 1.40395i | −0.128307 | + | 0.0571259i | ||||
\(605\) | −7.22943 | + | 3.21875i | −0.293918 | + | 0.130861i | ||||
\(606\) | 0.745561 | + | 2.29460i | 0.0302864 | + | 0.0932118i | ||||
\(607\) | 21.6015 | − | 9.61761i | 0.876778 | − | 0.390367i | 0.0815444 | − | 0.996670i | \(-0.474015\pi\) |
0.795234 | + | 0.606303i | \(0.207348\pi\) | |||||||
\(608\) | 10.3641 | + | 4.61440i | 0.420320 | + | 0.187139i | ||||
\(609\) | 0.837996 | − | 0.178122i | 0.0339573 | − | 0.00721785i | ||||
\(610\) | 12.7518 | − | 9.26472i | 0.516305 | − | 0.375118i | ||||
\(611\) | 14.7206 | − | 14.2401i | 0.595533 | − | 0.576093i | ||||
\(612\) | 0.0787069 | + | 0.242235i | 0.00318154 | + | 0.00979176i | ||||
\(613\) | 13.5635 | − | 2.88300i | 0.547823 | − | 0.116443i | 0.0743184 | − | 0.997235i | \(-0.476322\pi\) |
0.473505 | + | 0.880791i | \(0.342989\pi\) | |||||||
\(614\) | −1.12984 | − | 1.95694i | −0.0455967 | − | 0.0789758i | ||||
\(615\) | −0.283466 | + | 0.490978i | −0.0114305 | + | 0.0197981i | ||||
\(616\) | −1.42047 | + | 4.37175i | −0.0572322 | + | 0.176143i | ||||
\(617\) | −6.07590 | + | 2.70516i | −0.244606 | + | 0.108906i | −0.525378 | − | 0.850869i | \(-0.676076\pi\) |
0.280772 | + | 0.959775i | \(0.409410\pi\) | |||||||
\(618\) | −1.37100 | − | 13.0442i | −0.0551499 | − | 0.524716i | ||||
\(619\) | −4.76536 | −0.191536 | −0.0957681 | − | 0.995404i | \(-0.530531\pi\) | ||||
−0.0957681 | + | 0.995404i | \(0.530531\pi\) | |||||||
\(620\) | 4.50726 | − | 0.984828i | 0.181016 | − | 0.0395516i | ||||
\(621\) | 0.547841 | + | 0.948889i | 0.0219841 | + | 0.0380776i | ||||
\(622\) | 8.36336 | + | 3.72361i | 0.335340 | + | 0.149303i | ||||
\(623\) | 8.06435 | + | 5.85909i | 0.323091 | + | 0.234740i | ||||
\(624\) | −7.73293 | + | 19.1873i | −0.309565 | + | 0.768105i | ||||
\(625\) | 15.6454 | 0.625817 | ||||||||
\(626\) | −10.7045 | − | 18.5408i | −0.427840 | − | 0.741040i | ||||
\(627\) | −10.9410 | + | 2.32559i | −0.436943 | + | 0.0928751i | ||||
\(628\) | 0.0480062 | + | 0.0102040i | 0.00191566 | + | 0.000407186i | ||||
\(629\) | 0.0419830 | + | 0.129211i | 0.00167397 | + | 0.00515196i | ||||
\(630\) | 0.147012 | + | 1.39873i | 0.00585710 | + | 0.0557265i | ||||
\(631\) | 21.8236 | + | 24.2376i | 0.868785 | + | 0.964884i | 0.999648 | − | 0.0265164i | \(-0.00844144\pi\) |
−0.130863 | + | 0.991400i | \(0.541775\pi\) | |||||||
\(632\) | −7.83711 | + | 5.69400i | −0.311744 | + | 0.226495i | ||||
\(633\) | 15.7217 | − | 6.99977i | 0.624883 | − | 0.278216i | ||||
\(634\) | 21.0735 | − | 23.4045i | 0.836935 | − | 0.929510i | ||||
\(635\) | 0.677166 | − | 6.44280i | 0.0268725 | − | 0.255675i | ||||
\(636\) | −3.00627 | − | 2.18418i | −0.119206 | − | 0.0866084i | ||||
\(637\) | −23.0399 | − | 6.58511i | −0.912875 | − | 0.260911i | ||||
\(638\) | −8.05324 | − | 5.85102i | −0.318831 | − | 0.231644i | ||||
\(639\) | 14.9379 | + | 6.65078i | 0.590934 | + | 0.263101i | ||||
\(640\) | −9.43468 | + | 2.00540i | −0.372938 | + | 0.0792705i | ||||
\(641\) | 3.21010 | + | 30.5421i | 0.126791 | + | 1.20634i | 0.854130 | + | 0.520060i | \(0.174091\pi\) |
−0.727338 | + | 0.686279i | \(0.759243\pi\) | |||||||
\(642\) | −11.3567 | − | 34.9524i | −0.448214 | − | 1.37946i | ||||
\(643\) | 21.8893 | + | 4.65271i | 0.863230 | + | 0.183485i | 0.618191 | − | 0.786028i | \(-0.287866\pi\) |
0.245039 | + | 0.969513i | \(0.421199\pi\) | |||||||
\(644\) | −0.0832938 | − | 0.0925071i | −0.00328223 | − | 0.00364529i | ||||
\(645\) | 11.0615 | 0.435545 | ||||||||
\(646\) | −0.274131 | + | 0.474808i | −0.0107855 | + | 0.0186811i | ||||
\(647\) | −25.2868 | + | 5.37487i | −0.994126 | + | 0.211308i | −0.676129 | − | 0.736783i | \(-0.736344\pi\) |
−0.317998 | + | 0.948092i | \(0.603010\pi\) | |||||||
\(648\) | 0.198199 | − | 1.88574i | 0.00778599 | − | 0.0740787i | ||||
\(649\) | 3.10647 | − | 2.25698i | 0.121939 | − | 0.0885942i | ||||
\(650\) | 15.2307 | − | 22.6225i | 0.597398 | − | 0.887328i | ||||
\(651\) | 0.418863 | + | 3.77871i | 0.0164166 | + | 0.148099i | ||||
\(652\) | −11.0049 | − | 19.0611i | −0.430985 | − | 0.746489i | ||||
\(653\) | −18.5331 | − | 8.25146i | −0.725255 | − | 0.322905i | 0.0106923 | − | 0.999943i | \(-0.496596\pi\) |
−0.735948 | + | 0.677038i | \(0.763263\pi\) | |||||||
\(654\) | −12.0822 | + | 5.37935i | −0.472452 | + | 0.210349i | ||||
\(655\) | 3.98535 | − | 12.2656i | 0.155721 | − | 0.479258i | ||||
\(656\) | 1.52926 | − | 2.64876i | 0.0597076 | − | 0.103417i | ||||
\(657\) | −2.30075 | + | 3.98502i | −0.0897609 | + | 0.155470i | ||||
\(658\) | 1.81684 | − | 5.59165i | 0.0708277 | − | 0.217985i | ||||
\(659\) | 15.7470 | + | 3.34713i | 0.613416 | + | 0.130386i | 0.504135 | − | 0.863625i | \(-0.331812\pi\) |
0.109282 | + | 0.994011i | \(0.465145\pi\) | |||||||
\(660\) | −2.90217 | + | 3.22319i | −0.112967 | + | 0.125462i | ||||
\(661\) | −31.3130 | − | 13.9414i | −1.21793 | − | 0.542259i | −0.305778 | − | 0.952103i | \(-0.598916\pi\) |
−0.912156 | + | 0.409844i | \(0.865583\pi\) | |||||||
\(662\) | 9.07938 | − | 27.9434i | 0.352880 | − | 1.08605i | ||||
\(663\) | −0.539083 | − | 0.286040i | −0.0209363 | − | 0.0111089i | ||||
\(664\) | −6.04580 | − | 4.39253i | −0.234622 | − | 0.170463i | ||||
\(665\) | −0.686954 | + | 0.762940i | −0.0266389 | + | 0.0295855i | ||||
\(666\) | 0.281898 | − | 2.68208i | 0.0109233 | − | 0.103928i | ||||
\(667\) | −0.233675 | + | 0.104039i | −0.00904792 | + | 0.00402839i | ||||
\(668\) | 2.52232 | + | 7.76289i | 0.0975914 | + | 0.300355i | ||||
\(669\) | −17.9693 | + | 8.00046i | −0.694734 | + | 0.309316i | ||||
\(670\) | −1.27477 | − | 12.1287i | −0.0492489 | − | 0.468572i | ||||
\(671\) | 15.8150 | − | 48.6735i | 0.610531 | − | 1.87902i | ||||
\(672\) | 0.378923 | + | 3.60521i | 0.0146173 | + | 0.139074i | ||||
\(673\) | −19.5249 | + | 21.6846i | −0.752631 | + | 0.835881i | −0.990799 | − | 0.135343i | \(-0.956786\pi\) |
0.238168 | + | 0.971224i | \(0.423453\pi\) | |||||||
\(674\) | −21.9241 | + | 24.3492i | −0.844486 | + | 0.937897i | ||||
\(675\) | −7.22105 | + | 22.2241i | −0.277938 | + | 0.855407i | ||||
\(676\) | −5.01891 | − | 12.3609i | −0.193035 | − | 0.475418i | ||||
\(677\) | 43.3670 | 1.66673 | 0.833364 | − | 0.552725i | \(-0.186412\pi\) | ||||
0.833364 | + | 0.552725i | \(0.186412\pi\) | |||||||
\(678\) | 33.2195 | − | 7.06102i | 1.27579 | − | 0.271177i | ||||
\(679\) | −0.582895 | + | 5.54587i | −0.0223694 | + | 0.212831i | ||||
\(680\) | −0.0210861 | − | 0.200621i | −0.000808615 | − | 0.00769345i | ||||
\(681\) | 16.4863 | 0.631757 | ||||||||
\(682\) | 29.3716 | − | 32.9953i | 1.12470 | − | 1.26345i | ||||
\(683\) | 15.5592 | − | 26.9493i | 0.595355 | − | 1.03118i | −0.398142 | − | 0.917324i | \(-0.630345\pi\) |
0.993497 | − | 0.113861i | \(-0.0363218\pi\) | |||||||
\(684\) | 2.98574 | − | 2.16927i | 0.114163 | − | 0.0829440i | ||||
\(685\) | 9.71476 | − | 4.32529i | 0.371182 | − | 0.165261i | ||||
\(686\) | −13.8153 | + | 2.93654i | −0.527471 | + | 0.112117i | ||||
\(687\) | 4.75674 | + | 8.23891i | 0.181481 | + | 0.314334i | ||||
\(688\) | −59.6750 | −2.27509 | ||||||||
\(689\) | −11.2638 | + | 1.59292i | −0.429116 | + | 0.0606855i | ||||
\(690\) | 0.101560 | + | 0.312569i | 0.00386631 | + | 0.0118993i | ||||
\(691\) | 11.9277 | − | 13.2470i | 0.453751 | − | 0.503941i | −0.472249 | − | 0.881465i | \(-0.656558\pi\) |
0.926000 | + | 0.377524i | \(0.123224\pi\) | |||||||
\(692\) | 14.0848 | + | 6.27094i | 0.535422 | + | 0.238385i | ||||
\(693\) | 3.05564 | + | 3.39363i | 0.116074 | + | 0.128913i | ||||
\(694\) | −5.89470 | + | 4.28275i | −0.223760 | + | 0.162571i | ||||
\(695\) | −8.18266 | + | 3.64316i | −0.310386 | + | 0.138193i | ||||
\(696\) | 2.38589 | + | 0.507137i | 0.0904370 | + | 0.0192230i | ||||
\(697\) | 0.0729954 | + | 0.0530342i | 0.00276490 | + | 0.00200882i | ||||
\(698\) | −30.3231 | + | 13.5007i | −1.14775 | + | 0.511010i | ||||
\(699\) | 3.29303 | − | 3.65728i | 0.124554 | − | 0.138331i | ||||
\(700\) | 0.277504 | − | 2.64028i | 0.0104887 | − | 0.0997931i | ||||
\(701\) | −6.73661 | + | 4.89444i | −0.254438 | + | 0.184860i | −0.707692 | − | 0.706522i | \(-0.750263\pi\) |
0.453253 | + | 0.891382i | \(0.350263\pi\) | |||||||
\(702\) | 20.7763 | + | 26.5453i | 0.784153 | + | 1.00189i | ||||
\(703\) | 1.59262 | − | 1.15711i | 0.0600670 | − | 0.0436412i | ||||
\(704\) | −2.32941 | + | 2.58707i | −0.0877930 | + | 0.0975040i | ||||
\(705\) | −3.52228 | + | 3.91189i | −0.132657 | + | 0.147330i | ||||
\(706\) | 20.7860 | + | 23.0851i | 0.782290 | + | 0.868821i | ||||
\(707\) | 0.719013 | 0.0270413 | ||||||||
\(708\) | 0.495789 | − | 0.858731i | 0.0186329 | − | 0.0322731i | ||||
\(709\) | −7.05525 | − | 7.83564i | −0.264965 | − | 0.294274i | 0.595951 | − | 0.803021i | \(-0.296775\pi\) |
−0.860916 | + | 0.508747i | \(0.830109\pi\) | |||||||
\(710\) | 11.0416 | + | 8.02220i | 0.414384 | + | 0.301068i | ||||
\(711\) | 1.00595 | + | 9.57094i | 0.0377259 | + | 0.358938i | ||||
\(712\) | 14.1903 | + | 24.5783i | 0.531802 | + | 0.921109i | ||||
\(713\) | −0.356893 | − | 1.07755i | −0.0133658 | − | 0.0403545i | ||||
\(714\) | −0.175187 | −0.00655621 | ||||||||
\(715\) | 0.474825 | + | 13.2693i | 0.0177574 | + | 0.496245i | ||||
\(716\) | −5.61128 | − | 4.07683i | −0.209703 | − | 0.152358i | ||||
\(717\) | −21.1240 | + | 4.49005i | −0.788891 | + | 0.167684i | ||||
\(718\) | −7.57059 | − | 13.1126i | −0.282532 | − | 0.489360i | ||||
\(719\) | −16.9090 | + | 29.2872i | −0.630599 | + | 1.09223i | 0.356831 | + | 0.934169i | \(0.383857\pi\) |
−0.987429 | + | 0.158060i | \(0.949476\pi\) | |||||||
\(720\) | −2.09923 | + | 6.46076i | −0.0782336 | + | 0.240778i | ||||
\(721\) | −3.82335 | − | 0.812679i | −0.142389 | − | 0.0302657i | ||||
\(722\) | −24.5596 | − | 5.22030i | −0.914013 | − | 0.194279i | ||||
\(723\) | 22.6598 | − | 16.4633i | 0.842727 | − | 0.612277i | ||||
\(724\) | 15.3622 | + | 17.0615i | 0.570932 | + | 0.634084i | ||||
\(725\) | −4.98362 | − | 2.21885i | −0.185087 | − | 0.0824061i | ||||
\(726\) | −2.04530 | + | 19.4597i | −0.0759083 | + | 0.722219i | ||||
\(727\) | −2.67868 | − | 8.24412i | −0.0993466 | − | 0.305757i | 0.889015 | − | 0.457877i | \(-0.151390\pi\) |
−0.988362 | + | 0.152120i | \(0.951390\pi\) | |||||||
\(728\) | 2.78579 | + | 2.33347i | 0.103248 | + | 0.0864842i | ||||
\(729\) | −16.4938 | − | 11.9835i | −0.610883 | − | 0.443833i | ||||
\(730\) | −2.56996 | + | 2.85423i | −0.0951185 | + | 0.105640i | ||||
\(731\) | 0.184015 | − | 1.75079i | 0.00680605 | − | 0.0647552i | ||||
\(732\) | −1.38146 | − | 13.1437i | −0.0510603 | − | 0.485806i | ||||
\(733\) | 6.88901 | − | 21.2022i | 0.254451 | − | 0.783121i | −0.739486 | − | 0.673172i | \(-0.764931\pi\) |
0.993937 | − | 0.109949i | \(-0.0350687\pi\) | |||||||
\(734\) | −5.32292 | − | 50.6442i | −0.196473 | − | 1.86931i | ||||
\(735\) | 6.02414 | + | 1.28047i | 0.222204 | + | 0.0472308i | ||||
\(736\) | −0.334458 | − | 1.02936i | −0.0123283 | − | 0.0379426i | ||||
\(737\) | −26.4961 | − | 29.4269i | −0.975998 | − | 1.08396i | ||||
\(738\) | −0.895515 | − | 1.55108i | −0.0329644 | − | 0.0570959i | ||||
\(739\) | 6.57406 | + | 11.3866i | 0.241831 | + | 0.418863i | 0.961236 | − | 0.275728i | \(-0.0889188\pi\) |
−0.719405 | + | 0.694591i | \(0.755585\pi\) | |||||||
\(740\) | 0.235883 | − | 0.725972i | 0.00867122 | − | 0.0266873i | ||||
\(741\) | −1.52802 | + | 8.70971i | −0.0561332 | + | 0.319959i | ||||
\(742\) | −2.64193 | + | 1.91948i | −0.0969884 | + | 0.0704662i | ||||
\(743\) | 14.8407 | + | 25.7049i | 0.544453 | + | 0.943021i | 0.998641 | + | 0.0521148i | \(0.0165962\pi\) |
−0.454188 | + | 0.890906i | \(0.650070\pi\) | |||||||
\(744\) | −3.28642 | + | 10.3134i | −0.120486 | + | 0.378109i | ||||
\(745\) | 6.24744 | − | 10.8209i | 0.228888 | − | 0.396446i | ||||
\(746\) | −15.1805 | + | 11.0293i | −0.555797 | + | 0.403810i | ||||
\(747\) | −6.78216 | + | 3.01961i | −0.248146 | + | 0.110482i | ||||
\(748\) | 0.461880 | + | 0.512970i | 0.0168880 | + | 0.0187560i | ||||
\(749\) | −10.9523 | −0.400190 | ||||||||
\(750\) | −7.53478 | + | 13.0506i | −0.275131 | + | 0.476541i | ||||
\(751\) | −52.5528 | + | 11.1704i | −1.91768 | + | 0.407615i | −0.917733 | + | 0.397197i | \(0.869983\pi\) |
−0.999946 | + | 0.0104178i | \(0.996684\pi\) | |||||||
\(752\) | 19.0022 | − | 21.1041i | 0.692939 | − | 0.769587i | ||||
\(753\) | −1.88487 | − | 5.80104i | −0.0686886 | − | 0.211402i | ||||
\(754\) | −6.67009 | + | 4.17593i | −0.242911 | + | 0.152079i | ||||
\(755\) | 0.839254 | − | 2.58296i | 0.0305436 | − | 0.0940035i | ||||
\(756\) | 2.99778 | + | 1.33470i | 0.109028 | + | 0.0485425i | ||||
\(757\) | 1.69309 | − | 16.1086i | 0.0615363 | − | 0.585479i | −0.919694 | − | 0.392637i | \(-0.871563\pi\) |
0.981230 | − | 0.192842i | \(-0.0617704\pi\) | |||||||
\(758\) | −1.75760 | − | 0.373590i | −0.0638390 | − | 0.0135694i | ||||
\(759\) | 0.863315 | + | 0.627235i | 0.0313363 | + | 0.0227672i | ||||
\(760\) | −2.67027 | + | 1.18888i | −0.0968610 | + | 0.0431253i | ||||
\(761\) | −22.8357 | − | 4.85387i | −0.827792 | − | 0.175953i | −0.225515 | − | 0.974240i | \(-0.572406\pi\) |
−0.602277 | + | 0.798287i | \(0.705740\pi\) | |||||||
\(762\) | −12.9589 | − | 9.41516i | −0.469450 | − | 0.341075i | ||||
\(763\) | 0.411990 | + | 3.91982i | 0.0149150 | + | 0.141907i | ||||
\(764\) | −13.2755 | + | 2.82181i | −0.480293 | + | 0.102089i | ||||
\(765\) | −0.183077 | − | 0.0815111i | −0.00661916 | − | 0.00294704i | ||||
\(766\) | 10.3670 | + | 31.9062i | 0.374574 | + | 1.15282i | ||||
\(767\) | −0.736911 | − | 2.94477i | −0.0266083 | − | 0.106330i | ||||
\(768\) | −6.82836 | + | 21.0155i | −0.246397 | + | 0.758333i | ||||
\(769\) | −27.2576 | − | 47.2116i | −0.982935 | − | 1.70249i | −0.650775 | − | 0.759271i | \(-0.725556\pi\) |
−0.332161 | − | 0.943223i | \(-0.607778\pi\) | |||||||
\(770\) | 1.90580 | + | 3.30093i | 0.0686801 | + | 0.118957i | ||||
\(771\) | −23.8231 | − | 26.4582i | −0.857966 | − | 0.952868i | ||||
\(772\) | 6.39263 | + | 4.64452i | 0.230076 | + | 0.167160i | ||||
\(773\) | −0.878218 | − | 8.35568i | −0.0315873 | − | 0.300533i | −0.998898 | − | 0.0469381i | \(-0.985054\pi\) |
0.967310 | − | 0.253595i | \(-0.0816130\pi\) | |||||||
\(774\) | −17.4725 | + | 30.2632i | −0.628035 | + | 1.08779i | ||||
\(775\) | 11.9852 | − | 21.0338i | 0.430519 | − | 0.755556i | ||||
\(776\) | −7.93842 | + | 13.7497i | −0.284973 | + | 0.493587i | ||||
\(777\) | 0.574645 | + | 0.255849i | 0.0206153 | + | 0.00917851i | ||||
\(778\) | 0.953060 | − | 9.06776i | 0.0341689 | − | 0.325095i | ||||
\(779\) | 0.404003 | − | 1.24339i | 0.0144749 | − | 0.0445491i | ||||
\(780\) | 1.50575 | + | 3.08050i | 0.0539145 | + | 0.110300i | ||||
\(781\) | 44.3147 | 1.58570 | ||||||||
\(782\) | 0.0511623 | − | 0.0108749i | 0.00182956 | − | 0.000388885i | ||||
\(783\) | 4.51191 | − | 5.01098i | 0.161243 | − | 0.179078i | ||||
\(784\) | −32.4994 | − | 6.90796i | −1.16069 | − | 0.246713i | ||||
\(785\) | −0.0312409 | + | 0.0226979i | −0.00111504 | + | 0.000810122i | ||||
\(786\) | −21.3375 | − | 23.6977i | −0.761084 | − | 0.845269i | ||||
\(787\) | 1.41112 | + | 13.4259i | 0.0503009 | + | 0.478582i | 0.990455 | + | 0.137833i | \(0.0440138\pi\) |
−0.940155 | + | 0.340748i | \(0.889320\pi\) | |||||||
\(788\) | 2.56669 | + | 1.86481i | 0.0914344 | + | 0.0664310i | ||||
\(789\) | 28.0935 | + | 5.97145i | 1.00015 | + | 0.212589i | ||||
\(790\) | −0.839635 | + | 7.98859i | −0.0298729 | + | 0.284221i | ||||
\(791\) | 1.05793 | − | 10.0656i | 0.0376158 | − | 0.357891i | ||||
\(792\) | 4.01774 | + | 12.3653i | 0.142764 | + | 0.439383i | ||||
\(793\) | −31.0161 | − | 25.9800i | −1.10141 | − | 0.922578i | ||||
\(794\) | 26.4761 | − | 19.2360i | 0.939603 | − | 0.682662i | ||||
\(795\) | 2.85988 | − | 0.607885i | 0.101429 | − | 0.0215595i | ||||
\(796\) | −4.47547 | − | 1.99261i | −0.158629 | − | 0.0706262i | ||||
\(797\) | 1.10178 | + | 0.234191i | 0.0390272 | + | 0.00829548i | 0.227384 | − | 0.973805i | \(-0.426983\pi\) |
−0.188357 | + | 0.982101i | \(0.560316\pi\) | |||||||
\(798\) | 0.784419 | + | 2.41419i | 0.0277681 | + | 0.0854615i | ||||
\(799\) | 0.560570 | + | 0.622576i | 0.0198316 | + | 0.0220252i | ||||
\(800\) | 11.5415 | − | 19.9905i | 0.408055 | − | 0.706771i | ||||
\(801\) | 28.1944 | 0.996199 | ||||||||
\(802\) | 30.2559 | + | 33.6026i | 1.06837 | + | 1.18655i | ||||
\(803\) | −1.30354 | + | 12.4023i | −0.0460008 | + | 0.437668i | ||||
\(804\) | −9.34156 | − | 4.15913i | −0.329451 | − | 0.146681i | ||||
\(805\) | 0.0979433 | 0.00345205 | ||||||||
\(806\) | −15.5139 | − | 31.2872i | −0.546453 | − | 1.10204i | ||||
\(807\) | 6.78685 | 0.238908 | ||||||||
\(808\) | 1.87015 | + | 0.832643i | 0.0657915 | + | 0.0292923i | ||||
\(809\) | −0.521299 | + | 4.95983i | −0.0183279 | + | 0.174378i | −0.999857 | − | 0.0169368i | \(-0.994609\pi\) |
0.981529 | + | 0.191315i | \(0.0612753\pi\) | |||||||
\(810\) | −1.05205 | − | 1.16842i | −0.0369651 | − | 0.0410540i | ||||
\(811\) | 12.1830 | 0.427802 | 0.213901 | − | 0.976855i | \(-0.431383\pi\) | ||||
0.213901 | + | 0.976855i | \(0.431383\pi\) | |||||||
\(812\) | −0.383033 | + | 0.663433i | −0.0134418 | + | 0.0232819i | ||||
\(813\) | 12.7885 | + | 14.2031i | 0.448514 | + | 0.498125i | ||||
\(814\) | −2.25854 | − | 6.95106i | −0.0791617 | − | 0.243635i | ||||
\(815\) | 16.9392 | + | 3.60055i | 0.593356 | + | 0.126122i | ||||
\(816\) | −0.773020 | − | 0.344171i | −0.0270611 | − | 0.0120484i | ||||
\(817\) | −24.9510 | + | 5.30349i | −0.872924 | + | 0.185546i | ||||
\(818\) | −7.50081 | + | 5.44966i | −0.262260 | + | 0.190543i | ||||
\(819\) | 3.39135 | − | 1.23766i | 0.118503 | − | 0.0432474i | ||||
\(820\) | −0.156654 | − | 0.482132i | −0.00547060 | − | 0.0168368i | ||||
\(821\) | −3.44488 | + | 32.7758i | −0.120227 | + | 1.14388i | 0.753493 | + | 0.657456i | \(0.228367\pi\) |
−0.873720 | + | 0.486429i | \(0.838299\pi\) | |||||||
\(822\) | 2.74843 | − | 26.1496i | 0.0958626 | − | 0.912072i | ||||
\(823\) | 38.1869 | + | 8.11688i | 1.33111 | + | 0.282937i | 0.817917 | − | 0.575336i | \(-0.195129\pi\) |
0.513195 | + | 0.858272i | \(0.328462\pi\) | |||||||
\(824\) | −9.00340 | − | 6.54135i | −0.313648 | − | 0.227879i | ||||
\(825\) | 2.37892 | + | 22.6339i | 0.0828233 | + | 0.788012i | ||||
\(826\) | −0.583085 | − | 0.647581i | −0.0202881 | − | 0.0225322i | ||||
\(827\) | 5.94846 | − | 4.32181i | 0.206848 | − | 0.150284i | −0.479538 | − | 0.877521i | \(-0.659196\pi\) |
0.686387 | + | 0.727237i | \(0.259196\pi\) | |||||||
\(828\) | −0.344395 | − | 0.0732034i | −0.0119685 | − | 0.00254399i | ||||
\(829\) | −18.5166 | + | 20.5648i | −0.643108 | + | 0.714243i | −0.973266 | − | 0.229682i | \(-0.926231\pi\) |
0.330158 | + | 0.943926i | \(0.392898\pi\) | |||||||
\(830\) | −6.06119 | + | 1.28834i | −0.210387 | + | 0.0447191i | ||||
\(831\) | 26.8621 | 0.931838 | ||||||||
\(832\) | 1.20858 | + | 2.47255i | 0.0419001 | + | 0.0857203i | ||||
\(833\) | 0.302886 | − | 0.932188i | 0.0104944 | − | 0.0322984i | ||||
\(834\) | −2.31498 | + | 22.0256i | −0.0801613 | + | 0.762684i | ||||
\(835\) | −5.86706 | − | 2.61218i | −0.203038 | − | 0.0903983i | ||||
\(836\) | 5.00095 | − | 8.66190i | 0.172962 | − | 0.299578i | ||||
\(837\) | 20.1484 | + | 22.1232i | 0.696431 | + | 0.764689i | ||||
\(838\) | −12.0453 | + | 20.8631i | −0.416098 | + | 0.720703i | ||||
\(839\) | −4.47552 | − | 42.5818i | −0.154512 | − | 1.47009i | −0.747171 | − | 0.664632i | \(-0.768588\pi\) |
0.592659 | − | 0.805454i | \(-0.298078\pi\) | |||||||
\(840\) | −0.755609 | − | 0.548982i | −0.0260710 | − | 0.0189417i | ||||
\(841\) | −18.3515 | − | 20.3814i | −0.632809 | − | 0.702806i | ||||
\(842\) | −25.0813 | − | 43.4421i | −0.864359 | − | 1.49711i | ||||
\(843\) | 13.1013 | + | 22.6921i | 0.451232 | + | 0.781556i | ||||
\(844\) | −4.75534 | + | 14.6354i | −0.163685 | + | 0.503772i | ||||
\(845\) | 9.86999 | + | 3.57313i | 0.339538 | + | 0.122919i | ||||
\(846\) | −5.13886 | − | 15.8158i | −0.176678 | − | 0.543758i | ||||
\(847\) | 5.32708 | + | 2.37177i | 0.183040 | + | 0.0814949i | ||||
\(848\) | −15.4286 | + | 3.27946i | −0.529821 | + | 0.112617i | ||||
\(849\) | 0.768716 | + | 7.31385i | 0.0263823 | + | 0.251011i | ||||
\(850\) | 0.902478 | + | 0.655689i | 0.0309547 | + | 0.0224899i | ||||
\(851\) | −0.183704 | − | 0.0390474i | −0.00629728 | − | 0.00133853i | ||||
\(852\) | 10.4543 | − | 4.65456i | 0.358159 | − | 0.159463i | ||||
\(853\) | 15.2809 | + | 11.1022i | 0.523207 | + | 0.380132i | 0.817811 | − | 0.575487i | \(-0.195188\pi\) |
−0.294603 | + | 0.955620i | \(0.595188\pi\) | |||||||
\(854\) | −11.3606 | − | 2.41478i | −0.388753 | − | 0.0826320i | ||||
\(855\) | −0.303530 | + | 2.88790i | −0.0103805 | + | 0.0987640i | ||||
\(856\) | −28.4869 | − | 12.6832i | −0.973663 | − | 0.433503i | ||||
\(857\) | −3.41404 | + | 10.5073i | −0.116622 | + | 0.358924i | −0.992282 | − | 0.124003i | \(-0.960427\pi\) |
0.875660 | + | 0.482928i | \(0.160427\pi\) | |||||||
\(858\) | 29.0008 | + | 15.3879i | 0.990069 | + | 0.525335i | ||||
\(859\) | 1.62510 | + | 5.00154i | 0.0554476 | + | 0.170650i | 0.974945 | − | 0.222446i | \(-0.0714040\pi\) |
−0.919497 | + | 0.393096i | \(0.871404\pi\) | |||||||
\(860\) | −6.61839 | + | 7.35046i | −0.225685 | + | 0.250649i | ||||
\(861\) | 0.408620 | − | 0.0868549i | 0.0139257 | − | 0.00296001i | ||||
\(862\) | 12.7283 | − | 22.0461i | 0.433529 | − | 0.750894i | ||||
\(863\) | 31.5781 | 1.07493 | 0.537466 | − | 0.843286i | \(-0.319382\pi\) | ||||
0.537466 | + | 0.843286i | \(0.319382\pi\) | |||||||
\(864\) | 19.0914 | + | 21.2032i | 0.649504 | + | 0.721347i | ||||
\(865\) | −11.0821 | + | 4.93407i | −0.376803 | + | 0.167764i | ||||
\(866\) | −16.8127 | + | 12.2151i | −0.571318 | + | 0.415087i | ||||
\(867\) | −9.74265 | + | 16.8748i | −0.330878 | + | 0.573097i | ||||
\(868\) | −2.76161 | − | 1.98257i | −0.0937352 | − | 0.0672928i | ||||
\(869\) | 13.0406 | + | 22.5870i | 0.442373 | + | 0.766213i | ||||
\(870\) | 1.63629 | − | 1.18884i | 0.0554756 | − | 0.0403054i | ||||
\(871\) | −29.4072 | + | 10.7320i | −0.996425 | + | 0.363642i | ||||
\(872\) | −3.46771 | + | 10.6725i | −0.117432 | + | 0.361417i | ||||
\(873\) | 7.88635 | + | 13.6596i | 0.266912 | + | 0.462306i | ||||
\(874\) | −0.378948 | − | 0.656357i | −0.0128181 | − | 0.0222016i | ||||
\(875\) | 3.00502 | + | 3.33741i | 0.101588 | + | 0.112825i | ||||
\(876\) | 0.995149 | + | 3.06275i | 0.0336230 | + | 0.103481i | ||||
\(877\) | −14.5227 | − | 3.08690i | −0.490397 | − | 0.104237i | −0.0439252 | − | 0.999035i | \(-0.513986\pi\) |
−0.446472 | + | 0.894798i | \(0.647320\pi\) | |||||||
\(878\) | 6.64104 | + | 63.1853i | 0.224124 | + | 2.13240i | ||||
\(879\) | 4.28525 | − | 13.1887i | 0.144538 | − | 0.444842i | ||||
\(880\) | 1.92442 | + | 18.3096i | 0.0648722 | + | 0.617218i | ||||
\(881\) | 4.10091 | − | 39.0175i | 0.138163 | − | 1.31453i | −0.677292 | − | 0.735714i | \(-0.736847\pi\) |
0.815455 | − | 0.578820i | \(-0.196487\pi\) | |||||||
\(882\) | −13.0189 | + | 14.4589i | −0.438368 | + | 0.486857i | ||||
\(883\) | 23.4996 | + | 17.0735i | 0.790826 | + | 0.574569i | 0.908208 | − | 0.418518i | \(-0.137450\pi\) |
−0.117383 | + | 0.993087i | \(0.537450\pi\) | |||||||
\(884\) | 0.512626 | − | 0.187081i | 0.0172415 | − | 0.00629221i | ||||
\(885\) | 0.241092 | + | 0.742004i | 0.00810420 | + | 0.0249422i | ||||
\(886\) | −0.478856 | + | 4.55601i | −0.0160875 | + | 0.153062i | ||||
\(887\) | 37.7740 | + | 16.8180i | 1.26833 | + | 0.564695i | 0.926933 | − | 0.375226i | \(-0.122435\pi\) |
0.341392 | + | 0.939921i | \(0.389102\pi\) | |||||||
\(888\) | 1.19836 | + | 1.33092i | 0.0402145 | + | 0.0446627i | ||||
\(889\) | −3.86191 | + | 2.80584i | −0.129524 | + | 0.0941050i | ||||
\(890\) | 23.0188 | + | 4.89279i | 0.771591 | + | 0.164007i | ||||
\(891\) | −4.99345 | − | 1.06139i | −0.167287 | − | 0.0355580i | ||||
\(892\) | 5.43516 | − | 16.7277i | 0.181983 | − | 0.560085i | ||||
\(893\) | 6.06951 | − | 10.5127i | 0.203108 | − | 0.351794i | ||||
\(894\) | −15.4472 | − | 26.7554i | −0.516633 | − | 0.894834i | ||||
\(895\) | 5.33804 | − | 1.13464i | 0.178431 | − | 0.0379267i | ||||
\(896\) | 5.74996 | + | 4.17759i | 0.192093 | + | 0.139564i | ||||
\(897\) | 0.715040 | − | 0.447664i | 0.0238745 | − | 0.0149471i | ||||
\(898\) | −40.8956 | −1.36470 | ||||||||
\(899\) | −5.62807 | + | 4.13806i | −0.187707 | + | 0.138012i | ||||
\(900\) | −3.75453 | − | 6.50304i | −0.125151 | − | 0.216768i | ||||
\(901\) | −0.0486389 | − | 0.462768i | −0.00162040 | − | 0.0154170i | ||||
\(902\) | −3.92689 | − | 2.85305i | −0.130751 | − | 0.0949962i | ||||
\(903\) | −5.45391 | − | 6.05718i | −0.181495 | − | 0.201570i | ||||
\(904\) | 14.4080 | − | 24.9553i | 0.479202 | − | 0.830002i | ||||
\(905\) | −18.0641 | −0.600471 | ||||||||
\(906\) | −4.49336 | − | 4.99038i | −0.149282 | − | 0.165794i | ||||
\(907\) | −5.25967 | + | 5.84146i | −0.174644 | + | 0.193962i | −0.824112 | − | 0.566427i | \(-0.808325\pi\) |
0.649467 | + | 0.760389i | \(0.274992\pi\) | |||||||
\(908\) | −9.86422 | + | 10.9553i | −0.327356 | + | 0.363565i | ||||
\(909\) | 1.64530 | − | 1.19538i | 0.0545711 | − | 0.0396482i | ||||
\(910\) | 2.98359 | − | 0.421938i | 0.0989049 | − | 0.0139871i | ||||
\(911\) | −35.8584 | + | 26.0527i | −1.18804 | + | 0.863164i | −0.993056 | − | 0.117642i | \(-0.962467\pi\) |
−0.194987 | + | 0.980806i | \(0.562467\pi\) | |||||||
\(912\) | −1.28162 | + | 12.1938i | −0.0424387 | + | 0.403777i | ||||
\(913\) | −13.4628 | + | 14.9520i | −0.445555 | + | 0.494839i | ||||
\(914\) | 2.47407 | − | 1.10153i | 0.0818350 | − | 0.0364353i | ||||
\(915\) | 8.41269 | + | 6.11218i | 0.278115 | + | 0.202062i | ||||
\(916\) | −8.32094 | − | 1.76867i | −0.274932 | − | 0.0584385i | ||||
\(917\) | −8.68158 | + | 3.86529i | −0.286691 | + | 0.127643i | ||||
\(918\) | −1.11550 | + | 0.810461i | −0.0368171 | + | 0.0267492i | ||||
\(919\) | 24.6860 | + | 27.4166i | 0.814316 | + | 0.904389i | 0.996890 | − | 0.0788029i | \(-0.0251098\pi\) |
−0.182575 | + | 0.983192i | \(0.558443\pi\) | |||||||
\(920\) | 0.254750 | + | 0.113422i | 0.00839885 | + | 0.00373941i | ||||
\(921\) | 0.997521 | − | 1.10786i | 0.0328694 | − | 0.0365052i | ||||
\(922\) | 14.2053 | + | 43.7193i | 0.467826 | + | 1.43982i | ||||
\(923\) | 13.0957 | − | 32.4935i | 0.431049 | − | 1.06954i | ||||
\(924\) | 3.19592 | 0.105138 | ||||||||
\(925\) | −2.00270 | − | 3.46879i | −0.0658485 | − | 0.114053i | ||||
\(926\) | 61.3616 | − | 13.0428i | 2.01647 | − | 0.428613i | ||||
\(927\) | −10.1000 | + | 4.49680i | −0.331727 | + | 0.147694i | ||||
\(928\) | −5.38868 | + | 3.91510i | −0.176892 | + | 0.128520i | ||||
\(929\) | −21.5938 | + | 37.4015i | −0.708468 | + | 1.22710i | 0.256957 | + | 0.966423i | \(0.417280\pi\) |
−0.965425 | + | 0.260680i | \(0.916053\pi\) | |||||||
\(930\) | 4.53184 | + | 7.74746i | 0.148605 | + | 0.254049i | ||||
\(931\) | −14.2024 | −0.465464 | ||||||||
\(932\) | 0.459989 | + | 4.37651i | 0.0150675 | + | 0.143357i | ||||
\(933\) | −0.631319 | + | 6.00660i | −0.0206685 | + | 0.196647i | ||||
\(934\) | −13.9372 | + | 2.96245i | −0.456039 | + | 0.0969342i | ||||
\(935\) | −0.543115 | −0.0177618 | ||||||||
\(936\) | 10.2541 | + | 0.708159i | 0.335167 | + | 0.0231469i | ||||
\(937\) | −6.98239 | + | 21.4896i | −0.228105 | + | 0.702034i | 0.769857 | + | 0.638217i | \(0.220328\pi\) |
−0.997962 | + | 0.0638175i | \(0.979672\pi\) | |||||||
\(938\) | −6.01304 | + | 6.67816i | −0.196333 | + | 0.218050i | ||||
\(939\) | 9.45088 | − | 10.4963i | 0.308418 | − | 0.342533i | ||||
\(940\) | −0.492012 | − | 4.68118i | −0.0160477 | − | 0.152683i | ||||
\(941\) | 2.67154 | − | 8.22215i | 0.0870896 | − | 0.268034i | −0.898022 | − | 0.439951i | \(-0.854996\pi\) |
0.985112 | + | 0.171916i | \(0.0549959\pi\) | |||||||
\(942\) | 0.00998044 | + | 0.0949576i | 0.000325180 | + | 0.00309389i | ||||
\(943\) | −0.113944 | + | 0.0507309i | −0.00371051 | + | 0.00165203i | ||||
\(944\) | −1.30066 | − | 4.00301i | −0.0423327 | − | 0.130287i | ||||
\(945\) | −2.35870 | + | 1.05016i | −0.0767285 | + | 0.0341617i | ||||
\(946\) | −9.89936 | + | 94.1861i | −0.321856 | + | 3.06225i | ||||
\(947\) | −24.3700 | + | 27.0656i | −0.791919 | + | 0.879515i | −0.995023 | − | 0.0996418i | \(-0.968230\pi\) |
0.203104 | + | 0.979157i | \(0.434897\pi\) | |||||||
\(948\) | 5.44884 | + | 3.95881i | 0.176970 | + | 0.128576i | ||||
\(949\) | 8.70872 | + | 4.62089i | 0.282697 | + | 0.150000i | ||||
\(950\) | 4.99489 | − | 15.3727i | 0.162055 | − | 0.498755i | ||||
\(951\) | 18.9810 | + | 8.45088i | 0.615501 | + | 0.274039i | ||||
\(952\) | −0.0994619 | + | 0.110464i | −0.00322358 | + | 0.00358015i | ||||
\(953\) | 53.0698 | + | 11.2803i | 1.71910 | + | 0.365406i | 0.958781 | − | 0.284147i | \(-0.0917102\pi\) |
0.760317 | + | 0.649552i | \(0.225044\pi\) | |||||||
\(954\) | −2.85428 | + | 8.78458i | −0.0924108 | + | 0.284411i | ||||
\(955\) | 5.33939 | − | 9.24809i | 0.172778 | − | 0.299261i | ||||
\(956\) | 9.65542 | − | 16.7237i | 0.312278 | − | 0.540882i | ||||
\(957\) | 2.02936 | − | 6.24573i | 0.0655999 | − | 0.201896i | ||||
\(958\) | 49.0749 | − | 21.8496i | 1.58554 | − | 0.705927i | ||||
\(959\) | −7.15841 | − | 3.18713i | −0.231157 | − | 0.102918i | ||||
\(960\) | −0.353668 | − | 0.612571i | −0.0114146 | − | 0.0197707i | ||||
\(961\) | −15.8039 | − | 26.6690i | −0.509802 | − | 0.860292i | ||||
\(962\) | −5.76427 | − | 0.398085i | −0.185847 | − | 0.0128348i | ||||
\(963\) | −25.0620 | + | 18.2086i | −0.807610 | + | 0.586763i | ||||
\(964\) | −2.61795 | + | 24.9081i | −0.0843185 | + | 0.802237i | ||||
\(965\) | −6.08135 | + | 1.29263i | −0.195765 | + | 0.0416112i | ||||
\(966\) | 0.121086 | − | 0.209727i | 0.00389587 | − | 0.00674785i | ||||
\(967\) | −7.27172 | −0.233843 | −0.116921 | − | 0.993141i | \(-0.537303\pi\) | ||||
−0.116921 | + | 0.993141i | \(0.537303\pi\) | |||||||
\(968\) | 11.1091 | + | 12.3379i | 0.357059 | + | 0.396555i | ||||
\(969\) | −0.353798 | − | 0.0752021i | −0.0113656 | − | 0.00241584i | ||||
\(970\) | 4.06822 | + | 12.5207i | 0.130623 | + | 0.402015i | ||||
\(971\) | −5.05142 | − | 48.0610i | −0.162108 | − | 1.54235i | −0.709036 | − | 0.705173i | \(-0.750870\pi\) |
0.546928 | − | 0.837180i | \(-0.315797\pi\) | |||||||
\(972\) | 14.8948 | − | 3.16600i | 0.477752 | − | 0.101549i | ||||
\(973\) | 6.02947 | + | 2.68449i | 0.193296 | + | 0.0860609i | ||||
\(974\) | 55.4463 | + | 40.2841i | 1.77661 | + | 1.29079i | ||||
\(975\) | 17.2992 | + | 4.94434i | 0.554018 | + | 0.158346i | ||||
\(976\) | −45.3853 | − | 32.9743i | −1.45275 | − | 1.05548i | ||||
\(977\) | 1.90703 | − | 18.1442i | 0.0610114 | − | 0.580484i | −0.920722 | − | 0.390220i | \(-0.872399\pi\) |
0.981733 | − | 0.190264i | \(-0.0609345\pi\) | |||||||
\(978\) | 28.6516 | − | 31.8208i | 0.916178 | − | 1.01752i | ||||
\(979\) | 69.8041 | − | 31.0788i | 2.23095 | − | 0.993282i | ||||
\(980\) | −4.45530 | + | 3.23696i | −0.142319 | + | 0.103401i | ||||
\(981\) | 7.45956 | + | 8.28468i | 0.238165 | + | 0.264510i | ||||
\(982\) | 0.573230 | + | 5.45392i | 0.0182925 | + | 0.174041i | ||||
\(983\) | 12.4208 | + | 38.2274i | 0.396163 | + | 1.21926i | 0.928052 | + | 0.372450i | \(0.121482\pi\) |
−0.531889 | + | 0.846814i | \(0.678518\pi\) | |||||||
\(984\) | 1.16340 | + | 0.247288i | 0.0370878 | + | 0.00788326i | ||||
\(985\) | −2.44170 | + | 0.519000i | −0.0777991 | + | 0.0165367i | ||||
\(986\) | −0.160946 | − | 0.278767i | −0.00512557 | − | 0.00887774i | ||||
\(987\) | 3.87880 | 0.123464 | ||||||||
\(988\) | −4.87344 | − | 6.22665i | −0.155045 | − | 0.198096i | ||||
\(989\) | 1.96879 | + | 1.43041i | 0.0626038 | + | 0.0454843i | ||||
\(990\) | 9.84888 | + | 4.38500i | 0.313018 | + | 0.139365i | ||||
\(991\) | −15.6777 | − | 27.1545i | −0.498018 | − | 0.862592i | 0.501980 | − | 0.864879i | \(-0.332605\pi\) |
−0.999997 | + | 0.00228728i | \(0.999272\pi\) | |||||||
\(992\) | −14.9244 | − | 25.5141i | −0.473849 | − | 0.810073i | ||||
\(993\) | 19.3837 | 0.615124 | ||||||||
\(994\) | −1.05122 | − | 10.0017i | −0.0333427 | − | 0.317235i | ||||
\(995\) | 3.52137 | − | 1.56782i | 0.111635 | − | 0.0497031i | ||||
\(996\) | −1.60556 | + | 4.94140i | −0.0508740 | + | 0.156574i | ||||
\(997\) | 17.0750 | − | 29.5747i | 0.540769 | − | 0.936640i | −0.458091 | − | 0.888905i | \(-0.651467\pi\) |
0.998860 | − | 0.0477344i | \(-0.0152001\pi\) | |||||||
\(998\) | 7.83090 | + | 13.5635i | 0.247883 | + | 0.429345i | ||||
\(999\) | 4.84268 | − | 1.02934i | 0.153216 | − | 0.0325670i |
(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 | 403.2.bl.b.16.7 | ✓ | 280 | |
13.9 | even | 3 | inner | 403.2.bl.b.295.29 | yes | 280 | |
31.2 | even | 5 | inner | 403.2.bl.b.250.29 | yes | 280 | |
403.126 | even | 15 | inner | 403.2.bl.b.126.7 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bl.b.16.7 | ✓ | 280 | 1.1 | even | 1 | trivial | |
403.2.bl.b.126.7 | yes | 280 | 403.126 | even | 15 | inner | |
403.2.bl.b.250.29 | yes | 280 | 31.2 | even | 5 | inner | |
403.2.bl.b.295.29 | yes | 280 | 13.9 | even | 3 | inner |