Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 51.7 | ||
Character | \(\chi\) | \(=\) | 76.51 |
Dual form | 76.2.k.a.3.7 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.947064 | − | 1.05027i | 0.669675 | − | 0.742654i | ||||
\(3\) | −2.80443 | − | 1.02073i | −1.61914 | − | 0.589319i | −0.635921 | − | 0.771754i | \(-0.719380\pi\) |
−0.983218 | + | 0.182435i | \(0.941602\pi\) | |||||||
\(4\) | −0.206140 | − | 1.98935i | −0.103070 | − | 0.994674i | ||||
\(5\) | −0.165124 | − | 0.936467i | −0.0738459 | − | 0.418801i | −0.999211 | − | 0.0397232i | \(-0.987352\pi\) |
0.925365 | − | 0.379078i | \(-0.123759\pi\) | |||||||
\(6\) | −3.72802 | + | 1.97872i | −1.52196 | + | 0.807808i | ||||
\(7\) | 2.67390 | + | 1.54378i | 1.01064 | + | 0.583492i | 0.911378 | − | 0.411569i | \(-0.135019\pi\) |
0.0992597 | + | 0.995062i | \(0.468353\pi\) | |||||||
\(8\) | −2.28458 | − | 1.66754i | −0.807722 | − | 0.589563i | ||||
\(9\) | 4.52481 | + | 3.79677i | 1.50827 | + | 1.26559i | ||||
\(10\) | −1.13993 | − | 0.713469i | −0.360477 | − | 0.225619i | ||||
\(11\) | 3.39303 | − | 1.95897i | 1.02304 | − | 0.590651i | 0.108055 | − | 0.994145i | \(-0.465538\pi\) |
0.914982 | + | 0.403494i | \(0.132205\pi\) | |||||||
\(12\) | −1.45248 | + | 5.78940i | −0.419295 | + | 1.67126i | ||||
\(13\) | −0.284588 | − | 0.781900i | −0.0789306 | − | 0.216860i | 0.893951 | − | 0.448166i | \(-0.147922\pi\) |
−0.972881 | + | 0.231306i | \(0.925700\pi\) | |||||||
\(14\) | 4.15373 | − | 1.34626i | 1.11013 | − | 0.359804i | ||||
\(15\) | −0.492800 | + | 2.79481i | −0.127240 | + | 0.721616i | ||||
\(16\) | −3.91501 | + | 0.820168i | −0.978753 | + | 0.205042i | ||||
\(17\) | −3.14351 | + | 2.63772i | −0.762414 | + | 0.639741i | −0.938754 | − | 0.344588i | \(-0.888019\pi\) |
0.176340 | + | 0.984329i | \(0.443574\pi\) | |||||||
\(18\) | 8.27293 | − | 1.15650i | 1.94995 | − | 0.272589i | ||||
\(19\) | 0.473541 | + | 4.33310i | 0.108638 | + | 0.994081i | ||||
\(20\) | −1.82892 | + | 0.521533i | −0.408959 | + | 0.116618i | ||||
\(21\) | −5.92298 | − | 7.05874i | −1.29250 | − | 1.54034i | ||||
\(22\) | 1.15597 | − | 5.41887i | 0.246454 | − | 1.15531i | ||||
\(23\) | −2.45271 | − | 0.432479i | −0.511425 | − | 0.0901780i | −0.0880203 | − | 0.996119i | \(-0.528054\pi\) |
−0.423405 | + | 0.905941i | \(0.639165\pi\) | |||||||
\(24\) | 4.70485 | + | 7.00844i | 0.960374 | + | 1.43059i | ||||
\(25\) | 3.84876 | − | 1.40083i | 0.769752 | − | 0.280167i | ||||
\(26\) | −1.09073 | − | 0.441614i | −0.213910 | − | 0.0866076i | ||||
\(27\) | −4.33744 | − | 7.51266i | −0.834740 | − | 1.44581i | ||||
\(28\) | 2.51991 | − | 5.63755i | 0.476218 | − | 1.06540i | ||||
\(29\) | 1.95130 | − | 2.32547i | 0.362347 | − | 0.431829i | −0.553813 | − | 0.832641i | \(-0.686828\pi\) |
0.916160 | + | 0.400812i | \(0.131272\pi\) | |||||||
\(30\) | 2.46859 | + | 3.16443i | 0.450701 | + | 0.577744i | ||||
\(31\) | −0.560318 | + | 0.970499i | −0.100636 | + | 0.174307i | −0.911947 | − | 0.410308i | \(-0.865421\pi\) |
0.811311 | + | 0.584615i | \(0.198754\pi\) | |||||||
\(32\) | −2.84637 | + | 4.88858i | −0.503172 | + | 0.864186i | ||||
\(33\) | −11.5151 | + | 2.03042i | −2.00452 | + | 0.353451i | ||||
\(34\) | −0.206785 | + | 5.79963i | −0.0354634 | + | 0.994628i | ||||
\(35\) | 1.00417 | − | 2.75893i | 0.169736 | − | 0.466345i | ||||
\(36\) | 6.62035 | − | 9.78410i | 1.10339 | − | 1.63068i | ||||
\(37\) | 11.0692i | 1.81976i | 0.414866 | + | 0.909882i | \(0.363828\pi\) | ||||
−0.414866 | + | 0.909882i | \(0.636172\pi\) | |||||||
\(38\) | 4.99940 | + | 3.60638i | 0.811011 | + | 0.585032i | ||||
\(39\) | 2.48327i | 0.397642i | ||||||||
\(40\) | −1.18435 | + | 2.41479i | −0.187263 | + | 0.381812i | ||||
\(41\) | 1.74742 | − | 4.80099i | 0.272901 | − | 0.749788i | −0.725220 | − | 0.688517i | \(-0.758262\pi\) |
0.998121 | − | 0.0612717i | \(-0.0195156\pi\) | |||||||
\(42\) | −13.0230 | − | 0.464335i | −2.00950 | − | 0.0716485i | ||||
\(43\) | −2.92630 | + | 0.515985i | −0.446256 | + | 0.0786870i | −0.392260 | − | 0.919854i | \(-0.628307\pi\) |
−0.0539956 | + | 0.998541i | \(0.517196\pi\) | |||||||
\(44\) | −4.59650 | − | 6.34610i | −0.692949 | − | 0.956710i | ||||
\(45\) | 2.80839 | − | 4.86428i | 0.418651 | − | 0.725124i | ||||
\(46\) | −2.77709 | + | 2.16642i | −0.409460 | + | 0.319422i | ||||
\(47\) | 2.23924 | − | 2.66862i | 0.326627 | − | 0.389259i | −0.577594 | − | 0.816324i | \(-0.696008\pi\) |
0.904221 | + | 0.427066i | \(0.140453\pi\) | |||||||
\(48\) | 11.8166 | + | 1.69607i | 1.70557 | + | 0.244806i | ||||
\(49\) | 1.26648 | + | 2.19361i | 0.180926 | + | 0.313373i | ||||
\(50\) | 2.17376 | − | 5.36892i | 0.307417 | − | 0.759280i | ||||
\(51\) | 11.5082 | − | 4.18863i | 1.61147 | − | 0.586525i | ||||
\(52\) | −1.49681 | + | 0.727326i | −0.207570 | + | 0.100862i | ||||
\(53\) | −4.27071 | − | 0.753042i | −0.586627 | − | 0.103438i | −0.127546 | − | 0.991833i | \(-0.540710\pi\) |
−0.459081 | + | 0.888394i | \(0.651821\pi\) | |||||||
\(54\) | −11.9982 | − | 2.55948i | −1.63274 | − | 0.348302i | ||||
\(55\) | −2.39478 | − | 2.85399i | −0.322912 | − | 0.384832i | ||||
\(56\) | −3.53444 | − | 7.98571i | −0.472309 | − | 1.06713i | ||||
\(57\) | 3.09491 | − | 12.6352i | 0.409931 | − | 1.67358i | ||||
\(58\) | −0.594368 | − | 4.25176i | −0.0780443 | − | 0.558284i | ||||
\(59\) | 0.677042 | − | 0.568105i | 0.0881433 | − | 0.0739610i | −0.597651 | − | 0.801756i | \(-0.703899\pi\) |
0.685795 | + | 0.727795i | \(0.259455\pi\) | |||||||
\(60\) | 5.66143 | + | 0.404230i | 0.730887 | + | 0.0521858i | ||||
\(61\) | −1.74615 | + | 9.90290i | −0.223571 | + | 1.26794i | 0.641826 | + | 0.766850i | \(0.278177\pi\) |
−0.865398 | + | 0.501086i | \(0.832934\pi\) | |||||||
\(62\) | 0.488630 | + | 1.50761i | 0.0620561 | + | 0.191467i | ||||
\(63\) | 6.23753 | + | 17.1375i | 0.785855 | + | 2.15912i | ||||
\(64\) | 2.43864 | + | 7.61925i | 0.304830 | + | 0.952407i | ||||
\(65\) | −0.685231 | + | 0.395618i | −0.0849924 | + | 0.0490704i | ||||
\(66\) | −8.77304 | + | 14.0169i | −1.07989 | + | 1.72536i | ||||
\(67\) | −6.32640 | − | 5.30848i | −0.772893 | − | 0.648535i | 0.168555 | − | 0.985692i | \(-0.446090\pi\) |
−0.941448 | + | 0.337158i | \(0.890534\pi\) | |||||||
\(68\) | 5.89535 | + | 5.70980i | 0.714916 | + | 0.692415i | ||||
\(69\) | 6.43701 | + | 3.71641i | 0.774925 | + | 0.447403i | ||||
\(70\) | −1.94662 | − | 3.66754i | −0.232665 | − | 0.438354i | ||||
\(71\) | 1.66114 | + | 9.42079i | 0.197141 | + | 1.11804i | 0.909337 | + | 0.416061i | \(0.136590\pi\) |
−0.712195 | + | 0.701981i | \(0.752299\pi\) | |||||||
\(72\) | −4.00606 | − | 16.2193i | −0.472119 | − | 1.91147i | ||||
\(73\) | 2.43877 | + | 0.887641i | 0.285437 | + | 0.103891i | 0.480771 | − | 0.876846i | \(-0.340357\pi\) |
−0.195334 | + | 0.980737i | \(0.562579\pi\) | |||||||
\(74\) | 11.6257 | + | 10.4832i | 1.35146 | + | 1.21865i | ||||
\(75\) | −12.2235 | −1.41144 | ||||||||
\(76\) | 8.52243 | − | 1.83526i | 0.977590 | − | 0.210519i | ||||
\(77\) | 12.0968 | 1.37856 | ||||||||
\(78\) | 2.60811 | + | 2.35182i | 0.295310 | + | 0.266291i | ||||
\(79\) | 3.07726 | + | 1.12003i | 0.346219 | + | 0.126013i | 0.509276 | − | 0.860603i | \(-0.329913\pi\) |
−0.163057 | + | 0.986617i | \(0.552135\pi\) | |||||||
\(80\) | 1.41452 | + | 3.53085i | 0.158149 | + | 0.394761i | ||||
\(81\) | 1.41857 | + | 8.04512i | 0.157619 | + | 0.893903i | ||||
\(82\) | −3.38743 | − | 6.38210i | −0.374079 | − | 0.704786i | ||||
\(83\) | −10.7084 | − | 6.18250i | −1.17540 | − | 0.678618i | −0.220455 | − | 0.975397i | \(-0.570754\pi\) |
−0.954946 | + | 0.296779i | \(0.904087\pi\) | |||||||
\(84\) | −12.8213 | + | 13.2380i | −1.39892 | + | 1.44438i | ||||
\(85\) | 2.98921 | + | 2.50824i | 0.324225 | + | 0.272057i | ||||
\(86\) | −2.22947 | + | 3.56208i | −0.240409 | + | 0.384109i | ||||
\(87\) | −7.84597 | + | 4.52987i | −0.841176 | + | 0.485653i | ||||
\(88\) | −11.0183 | − | 1.18258i | −1.17456 | − | 0.126064i | ||||
\(89\) | −0.254375 | − | 0.698890i | −0.0269637 | − | 0.0740822i | 0.925480 | − | 0.378795i | \(-0.123662\pi\) |
−0.952444 | + | 0.304713i | \(0.901439\pi\) | |||||||
\(90\) | −2.44909 | − | 7.55636i | −0.258156 | − | 0.796510i | ||||
\(91\) | 0.446118 | − | 2.53006i | 0.0467658 | − | 0.265222i | ||||
\(92\) | −0.354750 | + | 4.96844i | −0.0369852 | + | 0.517996i | ||||
\(93\) | 2.56199 | − | 2.14976i | 0.265666 | − | 0.222920i | ||||
\(94\) | −0.682075 | − | 4.87917i | −0.0703506 | − | 0.503248i | ||||
\(95\) | 3.97961 | − | 1.15896i | 0.408300 | − | 0.118906i | ||||
\(96\) | 12.9724 | − | 10.8043i | 1.32399 | − | 1.10271i | ||||
\(97\) | −6.10468 | − | 7.27528i | −0.619837 | − | 0.738693i | 0.361206 | − | 0.932486i | \(-0.382365\pi\) |
−0.981042 | + | 0.193794i | \(0.937921\pi\) | |||||||
\(98\) | 3.50333 | + | 0.747341i | 0.353890 | + | 0.0754929i | ||||
\(99\) | 22.7906 | + | 4.01859i | 2.29054 | + | 0.403884i | ||||
\(100\) | −3.58013 | − | 7.36775i | −0.358013 | − | 0.736775i | ||||
\(101\) | −9.25142 | + | 3.36724i | −0.920550 | + | 0.335053i | −0.758457 | − | 0.651723i | \(-0.774047\pi\) |
−0.162093 | + | 0.986776i | \(0.551824\pi\) | |||||||
\(102\) | 6.49977 | − | 16.0536i | 0.643573 | − | 1.58954i | ||||
\(103\) | 0.981169 | + | 1.69943i | 0.0966774 | + | 0.167450i | 0.910307 | − | 0.413933i | \(-0.135845\pi\) |
−0.813630 | + | 0.581383i | \(0.802512\pi\) | |||||||
\(104\) | −0.653681 | + | 2.26088i | −0.0640987 | + | 0.221697i | ||||
\(105\) | −5.63225 | + | 6.71225i | −0.549651 | + | 0.655049i | ||||
\(106\) | −4.83554 | + | 3.77223i | −0.469669 | + | 0.366391i | ||||
\(107\) | 1.49933 | − | 2.59691i | 0.144945 | − | 0.251053i | −0.784407 | − | 0.620246i | \(-0.787033\pi\) |
0.929353 | + | 0.369193i | \(0.120366\pi\) | |||||||
\(108\) | −14.0512 | + | 10.1773i | −1.35208 | + | 0.979314i | ||||
\(109\) | 9.12021 | − | 1.60814i | 0.873558 | − | 0.154032i | 0.281144 | − | 0.959666i | \(-0.409286\pi\) |
0.592414 | + | 0.805634i | \(0.298175\pi\) | |||||||
\(110\) | −5.26547 | − | 0.187740i | −0.502043 | − | 0.0179003i | ||||
\(111\) | 11.2987 | − | 31.0428i | 1.07242 | − | 2.94645i | ||||
\(112\) | −11.7345 | − | 3.85086i | −1.10881 | − | 0.363872i | ||||
\(113\) | − | 10.5830i | − | 0.995568i | −0.867301 | − | 0.497784i | \(-0.834147\pi\) | ||
0.867301 | − | 0.497784i | \(-0.165853\pi\) | |||||||
\(114\) | −10.3394 | − | 15.2169i | −0.968369 | − | 1.42519i | ||||
\(115\) | 2.36829i | 0.220845i | ||||||||
\(116\) | −5.02841 | − | 3.40245i | −0.466876 | − | 0.315909i | ||||
\(117\) | 1.68098 | − | 4.61847i | 0.155407 | − | 0.426977i | ||||
\(118\) | 0.0445369 | − | 1.24911i | 0.00409996 | − | 0.114990i | ||||
\(119\) | −12.4775 | + | 2.20012i | −1.14381 | + | 0.201684i | ||||
\(120\) | 5.78629 | − | 5.56321i | 0.528213 | − | 0.507849i | ||||
\(121\) | 2.17510 | − | 3.76738i | 0.197736 | − | 0.342489i | ||||
\(122\) | 8.74701 | + | 11.2126i | 0.791917 | + | 1.01514i | ||||
\(123\) | −9.80102 | + | 11.6804i | −0.883728 | + | 1.05319i | ||||
\(124\) | 2.04616 | + | 0.914609i | 0.183751 | + | 0.0821343i | ||||
\(125\) | −4.32464 | − | 7.49050i | −0.386808 | − | 0.669971i | ||||
\(126\) | 23.9063 | + | 9.67918i | 2.12975 | + | 0.862290i | ||||
\(127\) | 1.50832 | − | 0.548984i | 0.133842 | − | 0.0487144i | −0.274231 | − | 0.961664i | \(-0.588423\pi\) |
0.408073 | + | 0.912949i | \(0.366201\pi\) | |||||||
\(128\) | 10.3118 | + | 4.65469i | 0.911446 | + | 0.411420i | ||||
\(129\) | 8.73328 | + | 1.53991i | 0.768922 | + | 0.135582i | ||||
\(130\) | −0.233451 | + | 1.09435i | −0.0204750 | + | 0.0959812i | ||||
\(131\) | 6.30386 | + | 7.51265i | 0.550771 | + | 0.656383i | 0.967566 | − | 0.252617i | \(-0.0812913\pi\) |
−0.416795 | + | 0.909000i | \(0.636847\pi\) | |||||||
\(132\) | 6.41293 | + | 22.4890i | 0.558174 | + | 1.95741i | ||||
\(133\) | −5.42313 | + | 12.3173i | −0.470245 | + | 1.06805i | ||||
\(134\) | −11.5669 | + | 1.61697i | −0.999224 | + | 0.139685i | ||||
\(135\) | −6.31914 | + | 5.30239i | −0.543865 | + | 0.456357i | ||||
\(136\) | 11.5801 | − | 0.784166i | 0.992986 | − | 0.0672417i | ||||
\(137\) | −0.959987 | + | 5.44436i | −0.0820172 | + | 0.465143i | 0.915943 | + | 0.401308i | \(0.131444\pi\) |
−0.997960 | + | 0.0638350i | \(0.979667\pi\) | |||||||
\(138\) | 9.99950 | − | 3.24093i | 0.851214 | − | 0.275886i | ||||
\(139\) | −3.12444 | − | 8.58433i | −0.265012 | − | 0.728113i | −0.998811 | − | 0.0487473i | \(-0.984477\pi\) |
0.733800 | − | 0.679366i | \(-0.237745\pi\) | |||||||
\(140\) | −5.69548 | − | 1.42892i | −0.481356 | − | 0.120766i | ||||
\(141\) | −9.00374 | + | 5.19831i | −0.758252 | + | 0.437777i | ||||
\(142\) | 11.4676 | + | 7.17745i | 0.962339 | + | 0.602318i | ||||
\(143\) | −2.49733 | − | 2.09551i | −0.208837 | − | 0.175235i | ||||
\(144\) | −20.8287 | − | 11.1533i | −1.73572 | − | 0.929441i | ||||
\(145\) | −2.49993 | − | 1.44334i | −0.207608 | − | 0.119863i | ||||
\(146\) | 3.24194 | − | 1.72072i | 0.268305 | − | 0.142408i | ||||
\(147\) | −1.31268 | − | 7.44458i | −0.108268 | − | 0.614018i | ||||
\(148\) | 22.0205 | − | 2.28180i | 1.81007 | − | 0.187563i | ||||
\(149\) | −17.4242 | − | 6.34187i | −1.42744 | − | 0.519547i | −0.491245 | − | 0.871021i | \(-0.663458\pi\) |
−0.936197 | + | 0.351475i | \(0.885680\pi\) | |||||||
\(150\) | −11.5764 | + | 12.8379i | −0.945208 | + | 1.04821i | ||||
\(151\) | −19.1746 | −1.56040 | −0.780202 | − | 0.625527i | \(-0.784884\pi\) | ||||
−0.780202 | + | 0.625527i | \(0.784884\pi\) | |||||||
\(152\) | 6.14376 | − | 10.6890i | 0.498325 | − | 0.866990i | ||||
\(153\) | −24.2386 | −1.95958 | ||||||||
\(154\) | 11.4565 | − | 12.7049i | 0.923188 | − | 1.02379i | ||||
\(155\) | 1.00136 | + | 0.364466i | 0.0804314 | + | 0.0292746i | ||||
\(156\) | 4.94009 | − | 0.511901i | 0.395524 | − | 0.0409849i | ||||
\(157\) | −1.38284 | − | 7.84250i | −0.110363 | − | 0.625899i | −0.988942 | − | 0.148303i | \(-0.952619\pi\) |
0.878579 | − | 0.477597i | \(-0.158492\pi\) | |||||||
\(158\) | 4.09070 | − | 2.17122i | 0.325439 | − | 0.172733i | ||||
\(159\) | 11.2083 | + | 6.47110i | 0.888874 | + | 0.513191i | ||||
\(160\) | 5.04800 | + | 1.85831i | 0.399079 | + | 0.146912i | ||||
\(161\) | −5.89064 | − | 4.94283i | −0.464247 | − | 0.389550i | ||||
\(162\) | 9.79304 | + | 6.12936i | 0.769414 | + | 0.481568i | ||||
\(163\) | 14.7556 | − | 8.51913i | 1.15574 | − | 0.667269i | 0.205464 | − | 0.978665i | \(-0.434130\pi\) |
0.950281 | + | 0.311395i | \(0.100796\pi\) | |||||||
\(164\) | −9.91105 | − | 2.48655i | −0.773923 | − | 0.194167i | ||||
\(165\) | 3.80285 | + | 10.4482i | 0.296051 | + | 0.813394i | ||||
\(166\) | −16.6349 | + | 5.39151i | −1.29112 | + | 0.418462i | ||||
\(167\) | −2.11555 | + | 11.9979i | −0.163706 | + | 0.928422i | 0.786683 | + | 0.617357i | \(0.211797\pi\) |
−0.950389 | + | 0.311065i | \(0.899314\pi\) | |||||||
\(168\) | 1.76084 | + | 26.0031i | 0.135852 | + | 2.00618i | ||||
\(169\) | 9.42820 | − | 7.91120i | 0.725246 | − | 0.608554i | ||||
\(170\) | 5.46531 | − | 0.764013i | 0.419170 | − | 0.0585971i | ||||
\(171\) | −14.3091 | + | 21.4044i | −1.09424 | + | 1.63684i | ||||
\(172\) | 1.62970 | + | 5.71506i | 0.124263 | + | 0.435769i | ||||
\(173\) | 14.0933 | + | 16.7958i | 1.07150 | + | 1.27696i | 0.959030 | + | 0.283303i | \(0.0914303\pi\) |
0.112465 | + | 0.993656i | \(0.464125\pi\) | |||||||
\(174\) | −2.67304 | + | 12.5305i | −0.202642 | + | 0.949932i | ||||
\(175\) | 12.4538 | + | 2.19593i | 0.941415 | + | 0.165997i | ||||
\(176\) | −11.6771 | + | 10.4522i | −0.880192 | + | 0.787867i | ||||
\(177\) | −2.47860 | + | 0.902136i | −0.186303 | + | 0.0678087i | ||||
\(178\) | −0.974933 | − | 0.394730i | −0.0730743 | − | 0.0295863i | ||||
\(179\) | −0.183973 | − | 0.318651i | −0.0137508 | − | 0.0238171i | 0.859068 | − | 0.511861i | \(-0.171044\pi\) |
−0.872819 | + | 0.488044i | \(0.837710\pi\) | |||||||
\(180\) | −10.2557 | − | 4.58415i | −0.764413 | − | 0.341683i | ||||
\(181\) | 12.1366 | − | 14.4639i | 0.902109 | − | 1.07509i | −0.0947190 | − | 0.995504i | \(-0.530195\pi\) |
0.996828 | − | 0.0795875i | \(-0.0253603\pi\) | |||||||
\(182\) | −2.23475 | − | 2.86467i | −0.165650 | − | 0.212344i | ||||
\(183\) | 15.0051 | − | 25.9896i | 1.10921 | − | 1.92121i | ||||
\(184\) | 4.88224 | + | 5.07802i | 0.359924 | + | 0.374356i | ||||
\(185\) | 10.3659 | − | 1.82780i | 0.762119 | − | 0.134382i | ||||
\(186\) | 0.168532 | − | 4.72675i | 0.0123574 | − | 0.346582i | ||||
\(187\) | −5.49882 | + | 15.1079i | −0.402114 | + | 1.10480i | ||||
\(188\) | −5.77042 | − | 3.90452i | −0.420851 | − | 0.284767i | ||||
\(189\) | − | 26.7841i | − | 1.94826i | ||||||
\(190\) | 2.55173 | − | 5.27728i | 0.185122 | − | 0.382854i | ||||
\(191\) | 14.9125i | 1.07903i | 0.841975 | + | 0.539516i | \(0.181393\pi\) | ||||
−0.841975 | + | 0.539516i | \(0.818607\pi\) | |||||||
\(192\) | 0.938203 | − | 23.8569i | 0.0677090 | − | 1.72172i | ||||
\(193\) | −2.55696 | + | 7.02519i | −0.184054 | + | 0.505684i | −0.997065 | − | 0.0765647i | \(-0.975605\pi\) |
0.813011 | + | 0.582249i | \(0.197827\pi\) | |||||||
\(194\) | −13.4225 | − | 0.478580i | −0.963682 | − | 0.0343600i | ||||
\(195\) | 2.32550 | − | 0.410049i | 0.166533 | − | 0.0293642i | ||||
\(196\) | 4.10279 | − | 2.97167i | 0.293056 | − | 0.212262i | ||||
\(197\) | −10.7161 | + | 18.5607i | −0.763487 | + | 1.32240i | 0.177556 | + | 0.984111i | \(0.443181\pi\) |
−0.941043 | + | 0.338288i | \(0.890152\pi\) | |||||||
\(198\) | 25.8047 | − | 20.1304i | 1.83386 | − | 1.43061i | ||||
\(199\) | 16.4631 | − | 19.6199i | 1.16704 | − | 1.39082i | 0.262224 | − | 0.965007i | \(-0.415544\pi\) |
0.904812 | − | 0.425812i | \(-0.140012\pi\) | |||||||
\(200\) | −11.1287 | − | 3.21763i | −0.786921 | − | 0.227521i | ||||
\(201\) | 12.3234 | + | 21.3448i | 0.869229 | + | 1.50555i | ||||
\(202\) | −5.22517 | + | 12.9055i | −0.367641 | + | 0.908027i | ||||
\(203\) | 8.80758 | − | 3.20570i | 0.618171 | − | 0.224996i | ||||
\(204\) | −10.7049 | − | 22.0303i | −0.749495 | − | 1.54243i | ||||
\(205\) | −4.78451 | − | 0.843638i | −0.334165 | − | 0.0589223i | ||||
\(206\) | 2.71410 | + | 0.578979i | 0.189100 | + | 0.0403394i | ||||
\(207\) | −9.45603 | − | 11.2693i | −0.657239 | − | 0.783267i | ||||
\(208\) | 1.75546 | + | 2.82774i | 0.121719 | + | 0.196068i | ||||
\(209\) | 10.0951 | + | 13.7747i | 0.698295 | + | 0.952815i | ||||
\(210\) | 1.71559 | + | 12.2723i | 0.118387 | + | 0.846871i | ||||
\(211\) | −2.40668 | + | 2.01944i | −0.165682 | + | 0.139024i | −0.721859 | − | 0.692040i | \(-0.756712\pi\) |
0.556177 | + | 0.831064i | \(0.312268\pi\) | |||||||
\(212\) | −0.617699 | + | 8.65117i | −0.0424237 | + | 0.594165i | ||||
\(213\) | 4.95753 | − | 28.1155i | 0.339684 | − | 1.92645i | ||||
\(214\) | −1.30750 | − | 4.03414i | −0.0893790 | − | 0.275768i | ||||
\(215\) | 0.966406 | + | 2.65518i | 0.0659084 | + | 0.181082i | ||||
\(216\) | −2.61841 | + | 24.3961i | −0.178160 | + | 1.65995i | ||||
\(217\) | −2.99646 | + | 1.73001i | −0.203413 | + | 0.117441i | ||||
\(218\) | 6.94844 | − | 11.1017i | 0.470608 | − | 0.751902i | ||||
\(219\) | −5.93333 | − | 4.97866i | −0.400938 | − | 0.336427i | ||||
\(220\) | −5.18392 | + | 5.35237i | −0.349500 | + | 0.360857i | ||||
\(221\) | 2.95704 | + | 1.70725i | 0.198912 | + | 0.114842i | ||||
\(222\) | −21.9028 | − | 41.2662i | −1.47002 | − | 2.76960i | ||||
\(223\) | 0.648948 | + | 3.68036i | 0.0434567 | + | 0.246455i | 0.998796 | − | 0.0490557i | \(-0.0156212\pi\) |
−0.955339 | + | 0.295511i | \(0.904510\pi\) | |||||||
\(224\) | −15.1578 | + | 8.67740i | −1.01277 | + | 0.579783i | ||||
\(225\) | 22.7336 | + | 8.27434i | 1.51557 | + | 0.551623i | ||||
\(226\) | −11.1151 | − | 10.0228i | −0.739363 | − | 0.666707i | ||||
\(227\) | 14.1806 | 0.941200 | 0.470600 | − | 0.882347i | \(-0.344037\pi\) | ||||
0.470600 | + | 0.882347i | \(0.344037\pi\) | |||||||
\(228\) | −25.7739 | − | 3.55223i | −1.70692 | − | 0.235252i | ||||
\(229\) | −7.84295 | −0.518276 | −0.259138 | − | 0.965840i | \(-0.583439\pi\) | ||||
−0.259138 | + | 0.965840i | \(0.583439\pi\) | |||||||
\(230\) | 2.48735 | + | 2.24293i | 0.164011 | + | 0.147894i | ||||
\(231\) | −33.9247 | − | 12.3476i | −2.23208 | − | 0.812411i | ||||
\(232\) | −8.33572 | + | 2.05886i | −0.547267 | + | 0.135171i | ||||
\(233\) | 0.355231 | + | 2.01461i | 0.0232719 | + | 0.131982i | 0.994230 | − | 0.107267i | \(-0.0342100\pi\) |
−0.970958 | + | 0.239249i | \(0.923099\pi\) | |||||||
\(234\) | −3.25864 | − | 6.13947i | −0.213024 | − | 0.401350i | ||||
\(235\) | −2.86883 | − | 1.65632i | −0.187142 | − | 0.108047i | ||||
\(236\) | −1.26972 | − | 1.22976i | −0.0826520 | − | 0.0800507i | ||||
\(237\) | −7.48672 | − | 6.28210i | −0.486315 | − | 0.408067i | ||||
\(238\) | −9.50625 | + | 15.1884i | −0.616199 | + | 0.984517i | ||||
\(239\) | −19.1085 | + | 11.0323i | −1.23603 | + | 0.713621i | −0.968280 | − | 0.249867i | \(-0.919613\pi\) |
−0.267749 | + | 0.963489i | \(0.586280\pi\) | |||||||
\(240\) | −0.362892 | − | 11.3459i | −0.0234246 | − | 0.732373i | ||||
\(241\) | −3.29430 | − | 9.05100i | −0.212204 | − | 0.583026i | 0.787230 | − | 0.616659i | \(-0.211514\pi\) |
−0.999434 | + | 0.0336331i | \(0.989292\pi\) | |||||||
\(242\) | −1.89682 | − | 5.85239i | −0.121932 | − | 0.376206i | ||||
\(243\) | −0.285520 | + | 1.61927i | −0.0183161 | + | 0.103876i | ||||
\(244\) | 20.0603 | + | 1.43232i | 1.28423 | + | 0.0916946i | ||||
\(245\) | 1.84512 | − | 1.54824i | 0.117880 | − | 0.0989134i | ||||
\(246\) | 2.98540 | + | 21.3558i | 0.190342 | + | 1.36160i | ||||
\(247\) | 3.25329 | − | 1.60341i | 0.207002 | − | 0.102023i | ||||
\(248\) | 2.89844 | − | 1.28283i | 0.184051 | − | 0.0814601i | ||||
\(249\) | 23.7203 | + | 28.2688i | 1.50322 | + | 1.79146i | ||||
\(250\) | −11.9628 | − | 2.55194i | −0.756592 | − | 0.161399i | ||||
\(251\) | −1.62834 | − | 0.287120i | −0.102780 | − | 0.0181229i | 0.122022 | − | 0.992527i | \(-0.461062\pi\) |
−0.224802 | + | 0.974405i | \(0.572173\pi\) | |||||||
\(252\) | 32.8066 | − | 15.9413i | 2.06662 | − | 1.00421i | ||||
\(253\) | −9.16932 | + | 3.33736i | −0.576470 | + | 0.209818i | ||||
\(254\) | 0.851894 | − | 2.10407i | 0.0534526 | − | 0.132021i | ||||
\(255\) | −5.82279 | − | 10.0854i | −0.364638 | − | 0.631571i | ||||
\(256\) | 14.6547 | − | 6.42193i | 0.915916 | − | 0.401371i | ||||
\(257\) | 13.2973 | − | 15.8471i | 0.829460 | − | 0.988512i | −0.170535 | − | 0.985352i | \(-0.554549\pi\) |
0.999995 | − | 0.00316078i | \(-0.00100611\pi\) | |||||||
\(258\) | 9.88830 | − | 7.71392i | 0.615619 | − | 0.480247i | ||||
\(259\) | −17.0884 | + | 29.5979i | −1.06182 | + | 1.83912i | ||||
\(260\) | 0.928276 | + | 1.28161i | 0.0575692 | + | 0.0794821i | ||||
\(261\) | 17.6585 | − | 3.11368i | 1.09304 | − | 0.192732i | ||||
\(262\) | 13.8605 | + | 0.494194i | 0.856303 | + | 0.0305314i | ||||
\(263\) | 5.04518 | − | 13.8615i | 0.311099 | − | 0.854738i | −0.681336 | − | 0.731970i | \(-0.738601\pi\) |
0.992435 | − | 0.122767i | \(-0.0391769\pi\) | |||||||
\(264\) | 29.6930 | + | 14.5632i | 1.82748 | + | 0.896302i | ||||
\(265\) | 4.12373i | 0.253319i | ||||||||
\(266\) | 7.80046 | + | 17.3610i | 0.478277 | + | 1.06447i | ||||
\(267\) | 2.21964i | 0.135840i | ||||||||
\(268\) | −9.25630 | + | 13.6797i | −0.565418 | + | 0.835621i | ||||
\(269\) | −2.61291 | + | 7.17890i | −0.159312 | + | 0.437705i | −0.993508 | − | 0.113762i | \(-0.963710\pi\) |
0.834196 | + | 0.551468i | \(0.185932\pi\) | |||||||
\(270\) | −0.415684 | + | 11.6585i | −0.0252977 | + | 0.709515i | ||||
\(271\) | −1.47921 | + | 0.260825i | −0.0898557 | + | 0.0158440i | −0.218395 | − | 0.975860i | \(-0.570082\pi\) |
0.128540 | + | 0.991704i | \(0.458971\pi\) | |||||||
\(272\) | 10.1435 | − | 12.9049i | 0.615041 | − | 0.782475i | ||||
\(273\) | −3.83361 | + | 6.64001i | −0.232021 | + | 0.401872i | ||||
\(274\) | 4.80888 | + | 6.16440i | 0.290515 | + | 0.372405i | ||||
\(275\) | 10.3148 | − | 12.2927i | 0.622004 | − | 0.741275i | ||||
\(276\) | 6.06631 | − | 13.5716i | 0.365149 | − | 0.816911i | ||||
\(277\) | −5.63204 | − | 9.75498i | −0.338397 | − | 0.586120i | 0.645735 | − | 0.763562i | \(-0.276551\pi\) |
−0.984131 | + | 0.177442i | \(0.943218\pi\) | |||||||
\(278\) | −11.9749 | − | 4.84840i | −0.718208 | − | 0.290788i | ||||
\(279\) | −6.22009 | + | 2.26393i | −0.372387 | + | 0.135538i | ||||
\(280\) | −6.89473 | + | 4.62852i | −0.412039 | + | 0.276607i | ||||
\(281\) | −22.5573 | − | 3.97746i | −1.34566 | − | 0.237275i | −0.546026 | − | 0.837769i | \(-0.683860\pi\) |
−0.799630 | + | 0.600493i | \(0.794971\pi\) | |||||||
\(282\) | −3.06748 | + | 14.3795i | −0.182666 | + | 0.856287i | ||||
\(283\) | 11.9630 | + | 14.2570i | 0.711128 | + | 0.847490i | 0.993737 | − | 0.111746i | \(-0.0356441\pi\) |
−0.282608 | + | 0.959235i | \(0.591200\pi\) | |||||||
\(284\) | 18.3988 | − | 5.24659i | 1.09177 | − | 0.311328i | ||||
\(285\) | −12.3435 | − | 0.811895i | −0.731168 | − | 0.0480925i | ||||
\(286\) | −4.56599 | + | 0.638294i | −0.269992 | + | 0.0377431i | ||||
\(287\) | 12.0841 | − | 10.1397i | 0.713299 | − | 0.598529i | ||||
\(288\) | −31.4401 | + | 11.3129i | −1.85263 | + | 0.666619i | ||||
\(289\) | −0.0279168 | + | 0.158324i | −0.00164216 | + | 0.00931317i | ||||
\(290\) | −3.88349 | + | 1.25868i | −0.228047 | + | 0.0739120i | ||||
\(291\) | 9.69408 | + | 26.6343i | 0.568277 | + | 1.56133i | ||||
\(292\) | 1.26310 | − | 5.03455i | 0.0739173 | − | 0.294625i | ||||
\(293\) | 17.6564 | − | 10.1939i | 1.03150 | − | 0.595536i | 0.114086 | − | 0.993471i | \(-0.463606\pi\) |
0.917414 | + | 0.397934i | \(0.130273\pi\) | |||||||
\(294\) | −9.06202 | − | 5.67182i | −0.528508 | − | 0.330787i | ||||
\(295\) | −0.643808 | − | 0.540219i | −0.0374840 | − | 0.0314528i | ||||
\(296\) | 18.4583 | − | 25.2885i | 1.07287 | − | 1.46986i | ||||
\(297\) | −29.4341 | − | 16.9938i | −1.70794 | − | 0.986079i | ||||
\(298\) | −23.1625 | + | 12.2939i | −1.34177 | + | 0.712168i | ||||
\(299\) | 0.359857 | + | 2.04085i | 0.0208111 | + | 0.118025i | ||||
\(300\) | 2.51974 | + | 24.3167i | 0.145477 | + | 1.40393i | ||||
\(301\) | −8.62118 | − | 3.13785i | −0.496917 | − | 0.180863i | ||||
\(302\) | −18.1595 | + | 20.1385i | −1.04496 | + | 1.15884i | ||||
\(303\) | 29.3820 | 1.68795 | ||||||||
\(304\) | −5.40779 | − | 16.5758i | −0.310158 | − | 0.950685i | ||||
\(305\) | 9.56207 | 0.547523 | ||||||||
\(306\) | −22.9555 | + | 25.4571i | −1.31228 | + | 1.45529i | ||||
\(307\) | 27.2216 | + | 9.90786i | 1.55362 | + | 0.565472i | 0.969263 | − | 0.246025i | \(-0.0791246\pi\) |
0.584357 | + | 0.811497i | \(0.301347\pi\) | |||||||
\(308\) | −2.49363 | − | 24.0648i | −0.142088 | − | 1.37122i | ||||
\(309\) | −1.01696 | − | 5.76746i | −0.0578527 | − | 0.328099i | ||||
\(310\) | 1.33114 | − | 0.706530i | 0.0756038 | − | 0.0401282i | ||||
\(311\) | 8.00357 | + | 4.62086i | 0.453841 | + | 0.262025i | 0.709451 | − | 0.704755i | \(-0.248943\pi\) |
−0.255610 | + | 0.966780i | \(0.582276\pi\) | |||||||
\(312\) | 4.14095 | − | 5.67324i | 0.234435 | − | 0.321184i | ||||
\(313\) | −19.3111 | − | 16.2039i | −1.09153 | − | 0.915898i | −0.0946990 | − | 0.995506i | \(-0.530189\pi\) |
−0.996826 | + | 0.0796075i | \(0.974633\pi\) | |||||||
\(314\) | −9.54639 | − | 5.97499i | −0.538734 | − | 0.337188i | ||||
\(315\) | 15.0187 | − | 8.67106i | 0.846209 | − | 0.488559i | ||||
\(316\) | 1.59379 | − | 6.35263i | 0.0896575 | − | 0.357363i | ||||
\(317\) | 10.3833 | + | 28.5279i | 0.583185 | + | 1.60229i | 0.782703 | + | 0.622395i | \(0.213840\pi\) |
−0.199518 | + | 0.979894i | \(0.563938\pi\) | |||||||
\(318\) | 17.4114 | − | 5.64318i | 0.976380 | − | 0.316454i | ||||
\(319\) | 2.06530 | − | 11.7129i | 0.115635 | − | 0.655798i | ||||
\(320\) | 6.73250 | − | 3.54183i | 0.376358 | − | 0.197994i | ||||
\(321\) | −6.85550 | + | 5.75245i | −0.382637 | + | 0.321071i | ||||
\(322\) | −10.7701 | + | 1.50559i | −0.600196 | + | 0.0839033i | ||||
\(323\) | −12.9181 | − | 12.3721i | −0.718782 | − | 0.688401i | ||||
\(324\) | 15.7121 | − | 4.48045i | 0.872896 | − | 0.248914i | ||||
\(325\) | −2.19062 | − | 2.61068i | −0.121514 | − | 0.144815i | ||||
\(326\) | 5.02706 | − | 23.5655i | 0.278423 | − | 1.30517i | ||||
\(327\) | −27.2185 | − | 4.79935i | −1.50519 | − | 0.265405i | ||||
\(328\) | −11.9979 | + | 8.05437i | −0.662476 | + | 0.444728i | ||||
\(329\) | 10.1073 | − | 3.67874i | 0.557231 | − | 0.202816i | ||||
\(330\) | 14.5750 | + | 5.90113i | 0.802329 | + | 0.324846i | ||||
\(331\) | −10.1102 | − | 17.5114i | −0.555707 | − | 0.962514i | −0.997848 | − | 0.0655678i | \(-0.979114\pi\) |
0.442141 | − | 0.896946i | \(-0.354219\pi\) | |||||||
\(332\) | −10.0917 | + | 22.5772i | −0.553855 | + | 1.23909i | ||||
\(333\) | −42.0272 | + | 50.0861i | −2.30308 | + | 2.74470i | ||||
\(334\) | 10.5974 | + | 13.5846i | 0.579867 | + | 0.743318i | ||||
\(335\) | −3.92658 | + | 6.80103i | −0.214532 | + | 0.371580i | ||||
\(336\) | 28.9779 | + | 22.7772i | 1.58087 | + | 1.24260i | ||||
\(337\) | −12.9142 | + | 2.27711i | −0.703479 | + | 0.124042i | −0.513934 | − | 0.857830i | \(-0.671812\pi\) |
−0.189545 | + | 0.981872i | \(0.560701\pi\) | |||||||
\(338\) | 0.620203 | − | 17.3946i | 0.0337346 | − | 0.946141i | ||||
\(339\) | −10.8024 | + | 29.6794i | −0.586707 | + | 1.61196i | ||||
\(340\) | 4.37358 | − | 6.46363i | 0.237191 | − | 0.350539i | ||||
\(341\) | 4.39057i | 0.237763i | ||||||||
\(342\) | 8.92880 | + | 35.2998i | 0.482814 | + | 1.90879i | ||||
\(343\) | − | 13.7922i | − | 0.744708i | ||||||
\(344\) | 7.54579 | + | 3.70090i | 0.406842 | + | 0.199539i | ||||
\(345\) | 2.41739 | − | 6.64172i | 0.130148 | − | 0.357578i | ||||
\(346\) | 30.9874 | + | 1.10485i | 1.66589 | + | 0.0593973i | ||||
\(347\) | 4.62735 | − | 0.815927i | 0.248409 | − | 0.0438013i | −0.0480569 | − | 0.998845i | \(-0.515303\pi\) |
0.296466 | + | 0.955043i | \(0.404192\pi\) | |||||||
\(348\) | 10.6289 | + | 14.6746i | 0.569766 | + | 0.786640i | ||||
\(349\) | 10.8285 | − | 18.7555i | 0.579636 | − | 1.00396i | −0.415884 | − | 0.909418i | \(-0.636528\pi\) |
0.995521 | − | 0.0945424i | \(-0.0301388\pi\) | |||||||
\(350\) | 14.1008 | − | 11.0001i | 0.753721 | − | 0.587982i | ||||
\(351\) | −4.63976 | + | 5.52945i | −0.247652 | + | 0.295140i | ||||
\(352\) | −0.0812553 | + | 22.1630i | −0.00433092 | + | 1.18129i | ||||
\(353\) | −12.4664 | − | 21.5924i | −0.663519 | − | 1.14925i | −0.979685 | − | 0.200544i | \(-0.935729\pi\) |
0.316166 | − | 0.948704i | \(-0.397604\pi\) | |||||||
\(354\) | −1.39990 | + | 3.45758i | −0.0744041 | + | 0.183768i | ||||
\(355\) | 8.54797 | − | 3.11121i | 0.453679 | − | 0.165126i | ||||
\(356\) | −1.33790 | + | 0.650110i | −0.0709085 | + | 0.0344557i | ||||
\(357\) | 37.2379 | + | 6.56605i | 1.97084 | + | 0.347512i | ||||
\(358\) | −0.508904 | − | 0.108561i | −0.0268964 | − | 0.00573763i | ||||
\(359\) | −15.4763 | − | 18.4439i | −0.816807 | − | 0.973433i | 0.183146 | − | 0.983086i | \(-0.441372\pi\) |
−0.999953 | + | 0.00965302i | \(0.996927\pi\) | |||||||
\(360\) | −14.5274 | + | 6.42975i | −0.765660 | + | 0.338878i | ||||
\(361\) | −18.5515 | + | 4.10380i | −0.976396 | + | 0.215990i | ||||
\(362\) | −3.69683 | − | 26.4450i | −0.194301 | − | 1.38992i | ||||
\(363\) | −9.94539 | + | 8.34518i | −0.521998 | + | 0.438008i | ||||
\(364\) | −5.12513 | − | 0.365938i | −0.268630 | − | 0.0191803i | ||||
\(365\) | 0.428546 | − | 2.43040i | 0.0224311 | − | 0.127213i | ||||
\(366\) | −13.0854 | − | 40.3733i | −0.683983 | − | 2.11035i | ||||
\(367\) | −3.55314 | − | 9.76216i | −0.185472 | − | 0.509581i | 0.811755 | − | 0.583998i | \(-0.198513\pi\) |
−0.997227 | + | 0.0744174i | \(0.976290\pi\) | |||||||
\(368\) | 9.95709 | − | 0.318472i | 0.519049 | − | 0.0166015i | ||||
\(369\) | 26.1350 | − | 15.0890i | 1.36053 | − | 0.785504i | ||||
\(370\) | 7.89753 | − | 12.6181i | 0.410573 | − | 0.655983i | ||||
\(371\) | −10.2569 | − | 8.60658i | −0.532513 | − | 0.446831i | ||||
\(372\) | −4.80476 | − | 4.65354i | −0.249115 | − | 0.241275i | ||||
\(373\) | 7.05267 | + | 4.07186i | 0.365173 | + | 0.210833i | 0.671348 | − | 0.741143i | \(-0.265716\pi\) |
−0.306174 | + | 0.951975i | \(0.599049\pi\) | |||||||
\(374\) | 10.6597 | + | 20.0834i | 0.551197 | + | 1.03849i | ||||
\(375\) | 4.48239 | + | 25.4209i | 0.231470 | + | 1.31273i | ||||
\(376\) | −9.56576 | + | 2.36267i | −0.493317 | + | 0.121846i | ||||
\(377\) | −2.37360 | − | 0.863920i | −0.122247 | − | 0.0444941i | ||||
\(378\) | −28.1306 | − | 25.3663i | −1.44688 | − | 1.30470i | ||||
\(379\) | −26.6265 | −1.36771 | −0.683856 | − | 0.729617i | \(-0.739698\pi\) | ||||
−0.683856 | + | 0.729617i | \(0.739698\pi\) | |||||||
\(380\) | −3.12593 | − | 7.67793i | −0.160357 | − | 0.393870i | ||||
\(381\) | −4.79035 | −0.245417 | ||||||||
\(382\) | 15.6622 | + | 14.1231i | 0.801348 | + | 0.722602i | ||||
\(383\) | −17.2405 | − | 6.27503i | −0.880948 | − | 0.320639i | −0.138356 | − | 0.990383i | \(-0.544182\pi\) |
−0.742592 | + | 0.669744i | \(0.766404\pi\) | |||||||
\(384\) | −24.1676 | − | 23.5793i | −1.23330 | − | 1.20328i | ||||
\(385\) | −1.99748 | − | 11.3283i | −0.101801 | − | 0.577342i | ||||
\(386\) | 4.95675 | + | 9.33880i | 0.252292 | + | 0.475333i | ||||
\(387\) | −15.2000 | − | 8.77574i | −0.772661 | − | 0.446096i | ||||
\(388\) | −13.2146 | + | 13.6441i | −0.670872 | + | 0.692673i | ||||
\(389\) | 13.8384 | + | 11.6118i | 0.701634 | + | 0.588741i | 0.922238 | − | 0.386622i | \(-0.126358\pi\) |
−0.220604 | + | 0.975364i | \(0.570803\pi\) | |||||||
\(390\) | 1.77174 | − | 2.83075i | 0.0897154 | − | 0.143341i | ||||
\(391\) | 8.85088 | − | 5.11006i | 0.447608 | − | 0.258427i | ||||
\(392\) | 0.764546 | − | 7.12340i | 0.0386154 | − | 0.359786i | ||||
\(393\) | −10.0104 | − | 27.5033i | −0.504956 | − | 1.38736i | ||||
\(394\) | 9.34503 | + | 28.8330i | 0.470796 | + | 1.45258i | ||||
\(395\) | 0.540742 | − | 3.06670i | 0.0272077 | − | 0.154302i | ||||
\(396\) | 3.29634 | − | 46.1668i | 0.165647 | − | 2.31997i | ||||
\(397\) | 0.378892 | − | 0.317928i | 0.0190160 | − | 0.0159564i | −0.633230 | − | 0.773964i | \(-0.718271\pi\) |
0.652246 | + | 0.758007i | \(0.273827\pi\) | |||||||
\(398\) | −5.01466 | − | 35.8720i | −0.251362 | − | 1.79810i | ||||
\(399\) | 27.7814 | − | 29.0075i | 1.39081 | − | 1.45219i | ||||
\(400\) | −13.9190 | + | 8.64091i | −0.695951 | + | 0.432045i | ||||
\(401\) | −18.6318 | − | 22.2046i | −0.930430 | − | 1.10884i | −0.993837 | − | 0.110856i | \(-0.964641\pi\) |
0.0634064 | − | 0.997988i | \(-0.479804\pi\) | |||||||
\(402\) | 34.0890 | + | 7.27196i | 1.70020 | + | 0.362692i | ||||
\(403\) | 0.918292 | + | 0.161920i | 0.0457434 | + | 0.00806580i | ||||
\(404\) | 8.60570 | + | 17.7102i | 0.428149 | + | 0.881114i | ||||
\(405\) | 7.29976 | − | 2.65689i | 0.362728 | − | 0.132022i | ||||
\(406\) | 4.97449 | − | 12.2863i | 0.246880 | − | 0.609761i | ||||
\(407\) | 21.6842 | + | 37.5581i | 1.07485 | + | 1.86169i | ||||
\(408\) | −33.2760 | − | 9.62102i | −1.64741 | − | 0.476312i | ||||
\(409\) | 4.45901 | − | 5.31404i | 0.220484 | − | 0.262762i | −0.644452 | − | 0.764645i | \(-0.722914\pi\) |
0.864936 | + | 0.501882i | \(0.167359\pi\) | |||||||
\(410\) | −5.41729 | + | 4.22606i | −0.267541 | + | 0.208710i | ||||
\(411\) | 8.24944 | − | 14.2884i | 0.406915 | − | 0.704797i | ||||
\(412\) | 3.17851 | − | 2.30221i | 0.156594 | − | 0.113422i | ||||
\(413\) | 2.68737 | − | 0.473855i | 0.132237 | − | 0.0233169i | ||||
\(414\) | −20.7912 | − | 0.741310i | −1.02183 | − | 0.0364334i | ||||
\(415\) | −4.02149 | + | 11.0490i | −0.197407 | + | 0.542372i | ||||
\(416\) | 4.63242 | + | 0.834343i | 0.227123 | + | 0.0409071i | ||||
\(417\) | 27.2634i | 1.33509i | ||||||||
\(418\) | 24.0279 | + | 2.44288i | 1.17524 | + | 0.119485i | ||||
\(419\) | − | 25.1365i | − | 1.22800i | −0.789307 | − | 0.613999i | \(-0.789560\pi\) | ||
0.789307 | − | 0.613999i | \(-0.210440\pi\) | |||||||
\(420\) | 14.5140 | + | 9.82084i | 0.708213 | + | 0.479208i | ||||
\(421\) | −8.13950 | + | 22.3631i | −0.396695 | + | 1.08991i | 0.567189 | + | 0.823588i | \(0.308031\pi\) |
−0.963884 | + | 0.266323i | \(0.914191\pi\) | |||||||
\(422\) | −0.158315 | + | 4.44020i | −0.00770666 | + | 0.216146i | ||||
\(423\) | 20.2643 | − | 3.57314i | 0.985284 | − | 0.173732i | ||||
\(424\) | 8.50107 | + | 8.84196i | 0.412849 | + | 0.429403i | ||||
\(425\) | −8.40361 | + | 14.5555i | −0.407635 | + | 0.706045i | ||||
\(426\) | −24.8339 | − | 31.8340i | −1.20320 | − | 1.54236i | ||||
\(427\) | −19.9569 | + | 23.7837i | −0.965780 | + | 1.15097i | ||||
\(428\) | −5.47523 | − | 2.44736i | −0.264655 | − | 0.118297i | ||||
\(429\) | 4.86465 | + | 8.42581i | 0.234867 | + | 0.406802i | ||||
\(430\) | 3.70391 | + | 1.49964i | 0.178618 | + | 0.0723189i | ||||
\(431\) | −3.86038 | + | 1.40506i | −0.185948 | + | 0.0676795i | −0.433316 | − | 0.901242i | \(-0.642657\pi\) |
0.247368 | + | 0.968922i | \(0.420434\pi\) | |||||||
\(432\) | 23.1428 | + | 25.8547i | 1.11346 | + | 1.24394i | ||||
\(433\) | 11.0190 | + | 1.94295i | 0.529540 | + | 0.0933721i | 0.432024 | − | 0.901862i | \(-0.357799\pi\) |
0.0975153 | + | 0.995234i | \(0.468911\pi\) | |||||||
\(434\) | −1.02086 | + | 4.78553i | −0.0490030 | + | 0.229713i | ||||
\(435\) | 5.53764 | + | 6.59950i | 0.265509 | + | 0.316422i | ||||
\(436\) | −5.07919 | − | 17.8118i | −0.243249 | − | 0.853029i | ||||
\(437\) | 0.712515 | − | 10.8326i | 0.0340842 | − | 0.518195i | ||||
\(438\) | −10.8482 | + | 1.51650i | −0.518347 | + | 0.0724613i | ||||
\(439\) | −18.6381 | + | 15.6392i | −0.889549 | + | 0.746420i | −0.968120 | − | 0.250488i | \(-0.919409\pi\) |
0.0785707 | + | 0.996909i | \(0.474964\pi\) | |||||||
\(440\) | 0.711943 | + | 10.5136i | 0.0339405 | + | 0.501214i | ||||
\(441\) | −2.59804 | + | 14.7342i | −0.123716 | + | 0.701631i | ||||
\(442\) | 4.59358 | − | 1.48882i | 0.218494 | − | 0.0708160i | ||||
\(443\) | −5.10633 | − | 14.0295i | −0.242609 | − | 0.666563i | −0.999909 | − | 0.0134959i | \(-0.995704\pi\) |
0.757300 | − | 0.653068i | \(-0.226518\pi\) | |||||||
\(444\) | −64.0841 | − | 16.0778i | −3.04129 | − | 0.763019i | ||||
\(445\) | −0.612484 | + | 0.353618i | −0.0290345 | + | 0.0167631i | ||||
\(446\) | 4.47998 | + | 2.80397i | 0.212133 | + | 0.132772i | ||||
\(447\) | 42.3915 | + | 35.5707i | 2.00505 | + | 1.68244i | ||||
\(448\) | −5.24175 | + | 24.1378i | −0.247649 | + | 1.14040i | ||||
\(449\) | 29.1082 | + | 16.8057i | 1.37370 | + | 0.793108i | 0.991392 | − | 0.130926i | \(-0.0417950\pi\) |
0.382311 | + | 0.924034i | \(0.375128\pi\) | |||||||
\(450\) | 30.2204 | − | 16.0401i | 1.42460 | − | 0.756136i | ||||
\(451\) | −3.47594 | − | 19.7130i | −0.163676 | − | 0.928250i | ||||
\(452\) | −21.0533 | + | 2.18158i | −0.990266 | + | 0.102613i | ||||
\(453\) | 53.7738 | + | 19.5721i | 2.52651 | + | 0.919576i | ||||
\(454\) | 13.4299 | − | 14.8935i | 0.630298 | − | 0.698986i | ||||
\(455\) | −2.44298 | −0.114529 | ||||||||
\(456\) | −28.1403 | + | 23.7054i | −1.31779 | + | 1.11011i | ||||
\(457\) | 42.0825 | 1.96853 | 0.984267 | − | 0.176687i | \(-0.0565381\pi\) | ||||
0.984267 | + | 0.176687i | \(0.0565381\pi\) | |||||||
\(458\) | −7.42777 | + | 8.23722i | −0.347077 | + | 0.384900i | ||||
\(459\) | 33.4511 | + | 12.1752i | 1.56136 | + | 0.568289i | ||||
\(460\) | 4.71136 | − | 0.488200i | 0.219668 | − | 0.0227624i | ||||
\(461\) | 1.07453 | + | 6.09398i | 0.0500460 | + | 0.283825i | 0.999552 | − | 0.0299234i | \(-0.00952635\pi\) |
−0.949506 | + | 0.313748i | \(0.898415\pi\) | |||||||
\(462\) | −45.0972 | + | 23.9362i | −2.09811 | + | 1.11361i | ||||
\(463\) | −10.3129 | − | 5.95417i | −0.479282 | − | 0.276714i | 0.240835 | − | 0.970566i | \(-0.422579\pi\) |
−0.720117 | + | 0.693852i | \(0.755912\pi\) | |||||||
\(464\) | −5.73209 | + | 10.7046i | −0.266106 | + | 0.496950i | ||||
\(465\) | −2.43623 | − | 2.04424i | −0.112978 | − | 0.0947994i | ||||
\(466\) | 2.45232 | + | 1.53488i | 0.113601 | + | 0.0711019i | ||||
\(467\) | 13.8551 | − | 7.99927i | 0.641139 | − | 0.370162i | −0.143914 | − | 0.989590i | \(-0.545969\pi\) |
0.785053 | + | 0.619428i | \(0.212636\pi\) | |||||||
\(468\) | −9.53426 | − | 2.39201i | −0.440721 | − | 0.110571i | ||||
\(469\) | −8.72105 | − | 23.9609i | −0.402701 | − | 1.10641i | ||||
\(470\) | −4.45656 | + | 1.44441i | −0.205566 | + | 0.0666257i | ||||
\(471\) | −4.12698 | + | 23.4053i | −0.190161 | + | 1.07846i | ||||
\(472\) | −2.49409 | + | 0.168892i | −0.114800 | + | 0.00777387i | ||||
\(473\) | −8.91821 | + | 7.48327i | −0.410060 | + | 0.344081i | ||||
\(474\) | −13.6883 | + | 1.91353i | −0.628725 | + | 0.0878915i | ||||
\(475\) | 7.89250 | + | 16.0137i | 0.362133 | + | 0.734759i | ||||
\(476\) | 6.94890 | + | 24.3685i | 0.318502 | + | 1.11693i | ||||
\(477\) | −16.4651 | − | 19.6223i | −0.753883 | − | 0.898443i | ||||
\(478\) | −6.51008 | + | 30.5175i | −0.297764 | + | 1.39584i | ||||
\(479\) | −12.1768 | − | 2.14710i | −0.556372 | − | 0.0981034i | −0.111610 | − | 0.993752i | \(-0.535601\pi\) |
−0.444762 | + | 0.895649i | \(0.646712\pi\) | |||||||
\(480\) | −12.2599 | − | 10.3641i | −0.559587 | − | 0.473056i | ||||
\(481\) | 8.65500 | − | 3.15016i | 0.394634 | − | 0.143635i | ||||
\(482\) | −12.6259 | − | 5.11197i | −0.575095 | − | 0.232844i | ||||
\(483\) | 11.4746 | + | 19.8746i | 0.522112 | + | 0.904325i | ||||
\(484\) | −7.94301 | − | 3.55042i | −0.361046 | − | 0.161383i | ||||
\(485\) | −5.80503 | + | 6.91816i | −0.263593 | + | 0.314138i | ||||
\(486\) | 1.43026 | + | 1.83342i | 0.0648781 | + | 0.0831658i | ||||
\(487\) | 5.21271 | − | 9.02868i | 0.236210 | − | 0.409128i | −0.723413 | − | 0.690415i | \(-0.757428\pi\) |
0.959624 | + | 0.281287i | \(0.0907612\pi\) | |||||||
\(488\) | 20.5027 | − | 19.7122i | 0.928112 | − | 0.892330i | ||||
\(489\) | −50.0767 | + | 8.82987i | −2.26455 | + | 0.399301i | ||||
\(490\) | 0.121375 | − | 3.40416i | 0.00548317 | − | 0.153784i | ||||
\(491\) | 5.18753 | − | 14.2526i | 0.234110 | − | 0.643212i | −0.765890 | − | 0.642972i | \(-0.777701\pi\) |
1.00000 | 0.000240450i | \(-7.65377e-5\pi\) | ||||||||
\(492\) | 25.2568 | + | 17.0899i | 1.13866 | + | 0.770470i | ||||
\(493\) | 12.4571i | 0.561041i | ||||||||
\(494\) | 1.39705 | − | 4.93536i | 0.0628564 | − | 0.222053i | ||||
\(495\) | − | 22.0062i | − | 0.989105i | ||||||
\(496\) | 1.39768 | − | 4.25907i | 0.0627577 | − | 0.191238i | ||||
\(497\) | −10.1019 | + | 27.7547i | −0.453131 | + | 1.24497i | ||||
\(498\) | 52.1546 | + | 1.85957i | 2.33710 | + | 0.0833292i | ||||
\(499\) | 8.46511 | − | 1.49263i | 0.378950 | − | 0.0668192i | 0.0190713 | − | 0.999818i | \(-0.493929\pi\) |
0.359879 | + | 0.932999i | \(0.382818\pi\) | |||||||
\(500\) | −14.0097 | + | 10.1473i | −0.626535 | + | 0.453802i | ||||
\(501\) | 18.1795 | − | 31.4878i | 0.812199 | − | 1.40677i | ||||
\(502\) | −1.84370 | + | 1.43828i | −0.0822882 | + | 0.0641935i | ||||
\(503\) | −21.2815 | + | 25.3623i | −0.948895 | + | 1.13085i | 0.0423882 | + | 0.999101i | \(0.486503\pi\) |
−0.991283 | + | 0.131748i | \(0.957941\pi\) | |||||||
\(504\) | 14.3272 | − | 49.5533i | 0.638185 | − | 2.20728i | ||||
\(505\) | 4.68095 | + | 8.10764i | 0.208299 | + | 0.360785i | ||||
\(506\) | −5.17880 | + | 12.7910i | −0.230226 | + | 0.568628i | ||||
\(507\) | −34.5159 | + | 12.5628i | −1.53291 | + | 0.557932i | ||||
\(508\) | −1.40304 | − | 2.88741i | −0.0622500 | − | 0.128108i | ||||
\(509\) | −30.6280 | − | 5.40055i | −1.35756 | − | 0.239375i | −0.552970 | − | 0.833201i | \(-0.686506\pi\) |
−0.804593 | + | 0.593826i | \(0.797617\pi\) | |||||||
\(510\) | −16.1069 | − | 3.43598i | −0.713227 | − | 0.152148i | ||||
\(511\) | 5.15071 | + | 6.13838i | 0.227854 | + | 0.271546i | ||||
\(512\) | 7.13412 | − | 21.4733i | 0.315286 | − | 0.948997i | ||||
\(513\) | 30.4992 | − | 22.3521i | 1.34657 | − | 0.986869i | ||||
\(514\) | −4.05036 | − | 28.9739i | −0.178654 | − | 1.27798i | ||||
\(515\) | 1.42945 | − | 1.19945i | 0.0629891 | − | 0.0528541i | ||||
\(516\) | 1.26315 | − | 17.6910i | 0.0556069 | − | 0.778802i | ||||
\(517\) | 2.37007 | − | 13.4413i | 0.104235 | − | 0.591149i | ||||
\(518\) | 14.9021 | + | 45.9785i | 0.654759 | + | 2.02018i | ||||
\(519\) | −22.3798 | − | 61.4881i | −0.982365 | − | 2.69903i | ||||
\(520\) | 2.22518 | + | 0.238825i | 0.0975804 | + | 0.0104732i | ||||
\(521\) | 23.9923 | − | 13.8520i | 1.05112 | − | 0.606866i | 0.128160 | − | 0.991754i | \(-0.459093\pi\) |
0.922964 | + | 0.384887i | \(0.125760\pi\) | |||||||
\(522\) | 13.4536 | − | 21.4951i | 0.588847 | − | 0.940816i | ||||
\(523\) | −0.617244 | − | 0.517929i | −0.0269902 | − | 0.0226474i | 0.629193 | − | 0.777249i | \(-0.283386\pi\) |
−0.656183 | + | 0.754602i | \(0.727830\pi\) | |||||||
\(524\) | 13.6458 | − | 14.0892i | 0.596120 | − | 0.615491i | ||||
\(525\) | −32.6842 | − | 18.8703i | −1.42646 | − | 0.823566i | ||||
\(526\) | −9.78024 | − | 18.4265i | −0.426439 | − | 0.803436i | ||||
\(527\) | −0.798538 | − | 4.52874i | −0.0347849 | − | 0.197275i | ||||
\(528\) | 43.4165 | − | 17.3934i | 1.88946 | − | 0.756952i | ||||
\(529\) | −15.7842 | − | 5.74498i | −0.686269 | − | 0.249782i | ||||
\(530\) | 4.33103 | + | 3.90544i | 0.188128 | + | 0.169641i | ||||
\(531\) | 5.22045 | 0.226548 | ||||||||
\(532\) | 25.6213 | + | 8.24941i | 1.11083 | + | 0.357657i | ||||
\(533\) | −4.25118 | −0.184139 | ||||||||
\(534\) | 2.33122 | + | 2.10214i | 0.100882 | + | 0.0909684i | ||||
\(535\) | −2.67950 | − | 0.975258i | −0.115845 | − | 0.0421641i | ||||
\(536\) | 5.60110 | + | 22.6772i | 0.241931 | + | 0.979505i | ||||
\(537\) | 0.190684 | + | 1.08142i | 0.00822861 | + | 0.0466668i | ||||
\(538\) | 5.06520 | + | 9.54314i | 0.218376 | + | 0.411434i | ||||
\(539\) | 8.59443 | + | 4.96200i | 0.370188 | + | 0.213728i | ||||
\(540\) | 11.8509 | + | 11.4779i | 0.509983 | + | 0.493932i | ||||
\(541\) | 21.0196 | + | 17.6376i | 0.903705 | + | 0.758299i | 0.970911 | − | 0.239441i | \(-0.0769640\pi\) |
−0.0672060 | + | 0.997739i | \(0.521408\pi\) | |||||||
\(542\) | −1.12697 | + | 1.80059i | −0.0484075 | + | 0.0773420i | ||||
\(543\) | −48.8001 | + | 28.1747i | −2.09421 | + | 1.20909i | ||||
\(544\) | −3.94710 | − | 22.8752i | −0.169231 | − | 0.980767i | ||||
\(545\) | −3.01194 | − | 8.27524i | −0.129017 | − | 0.354472i | ||||
\(546\) | 3.34314 | + | 10.3148i | 0.143073 | + | 0.441435i | ||||
\(547\) | 6.63465 | − | 37.6270i | 0.283677 | − | 1.60881i | −0.426295 | − | 0.904584i | \(-0.640182\pi\) |
0.709972 | − | 0.704229i | \(-0.248707\pi\) | |||||||
\(548\) | 11.0286 | + | 0.787450i | 0.471119 | + | 0.0336382i | ||||
\(549\) | −45.5000 | + | 38.1790i | −1.94189 | + | 1.62944i | ||||
\(550\) | −3.14188 | − | 22.4752i | −0.133970 | − | 0.958347i | ||||
\(551\) | 11.0005 | + | 7.35398i | 0.468638 | + | 0.313290i | ||||
\(552\) | −8.50863 | − | 19.2244i | −0.362151 | − | 0.818245i | ||||
\(553\) | 6.49920 | + | 7.74545i | 0.276374 | + | 0.329370i | ||||
\(554\) | −15.5793 | − | 3.32342i | −0.661900 | − | 0.141199i | ||||
\(555\) | −30.9363 | − | 5.45490i | −1.31317 | − | 0.231548i | ||||
\(556\) | −16.4332 | + | 7.98517i | −0.696921 | + | 0.338647i | ||||
\(557\) | 33.4845 | − | 12.1874i | 1.41878 | − | 0.516395i | 0.485089 | − | 0.874465i | \(-0.338787\pi\) |
0.933695 | + | 0.358069i | \(0.116565\pi\) | |||||||
\(558\) | −3.51309 | + | 8.67687i | −0.148721 | + | 0.367321i | ||||
\(559\) | 1.23624 | + | 2.14123i | 0.0522873 | + | 0.0905642i | ||||
\(560\) | −1.66855 | + | 11.6248i | −0.0705090 | + | 0.491239i | ||||
\(561\) | 30.8422 | − | 36.7562i | 1.30216 | − | 1.55185i | ||||
\(562\) | −25.5406 | + | 19.9244i | −1.07737 | + | 0.840459i | ||||
\(563\) | −2.01778 | + | 3.49489i | −0.0850391 | + | 0.147292i | −0.905408 | − | 0.424543i | \(-0.860435\pi\) |
0.820369 | + | 0.571835i | \(0.193768\pi\) | |||||||
\(564\) | 12.1973 | + | 16.8400i | 0.513598 | + | 0.709092i | ||||
\(565\) | −9.91067 | + | 1.74752i | −0.416945 | + | 0.0735186i | ||||
\(566\) | 26.3035 | + | 0.937848i | 1.10562 | + | 0.0394207i | ||||
\(567\) | −8.62675 | + | 23.7018i | −0.362289 | + | 0.995382i | ||||
\(568\) | 11.9145 | − | 24.2926i | 0.499922 | − | 1.01929i | ||||
\(569\) | 22.5123i | 0.943765i | 0.881661 | + | 0.471883i | \(0.156425\pi\) | ||||
−0.881661 | + | 0.471883i | \(0.843575\pi\) | |||||||
\(570\) | −12.5428 | + | 12.1951i | −0.525361 | + | 0.510798i | ||||
\(571\) | − | 2.03284i | − | 0.0850718i | −0.999095 | − | 0.0425359i | \(-0.986456\pi\) | ||
0.999095 | − | 0.0425359i | \(-0.0135437\pi\) | |||||||
\(572\) | −3.65390 | + | 5.40003i | −0.152777 | + | 0.225787i | ||||
\(573\) | 15.2217 | − | 41.8212i | 0.635894 | − | 1.74710i | ||||
\(574\) | 0.794909 | − | 22.2945i | 0.0331789 | − | 0.930555i | ||||
\(575\) | −10.0457 | + | 1.77133i | −0.418935 | + | 0.0738696i | ||||
\(576\) | −17.8942 | + | 43.7347i | −0.745590 | + | 1.82228i | ||||
\(577\) | −21.0040 | + | 36.3800i | −0.874409 | + | 1.51452i | −0.0170172 | + | 0.999855i | \(0.505417\pi\) |
−0.857391 | + | 0.514665i | \(0.827916\pi\) | |||||||
\(578\) | 0.139844 | + | 0.179263i | 0.00581674 | + | 0.00745636i | ||||
\(579\) | 14.3416 | − | 17.0917i | 0.596018 | − | 0.710307i | ||||
\(580\) | −2.35597 | + | 5.27077i | −0.0978261 | + | 0.218857i | ||||
\(581\) | −19.0888 | − | 33.0628i | −0.791936 | − | 1.37167i | ||||
\(582\) | 37.1541 | + | 15.0429i | 1.54009 | + | 0.623550i | ||||
\(583\) | −15.9658 | + | 5.81109i | −0.661237 | + | 0.240671i | ||||
\(584\) | −4.09141 | − | 6.09464i | −0.169304 | − | 0.252198i | ||||
\(585\) | −4.60262 | − | 0.811565i | −0.190295 | − | 0.0335541i | ||||
\(586\) | 6.01536 | − | 28.1984i | 0.248492 | − | 1.16486i | ||||
\(587\) | 0.130312 | + | 0.155300i | 0.00537856 | + | 0.00640992i | 0.768727 | − | 0.639577i | \(-0.220890\pi\) |
−0.763348 | + | 0.645987i | \(0.776446\pi\) | |||||||
\(588\) | −14.5393 | + | 4.14600i | −0.599589 | + | 0.170978i | ||||
\(589\) | −4.47060 | − | 1.96834i | −0.184208 | − | 0.0811041i | ||||
\(590\) | −1.17710 | + | 0.164551i | −0.0484606 | + | 0.00677447i | ||||
\(591\) | 48.9979 | − | 41.1142i | 2.01551 | − | 1.69121i | ||||
\(592\) | −9.07860 | − | 43.3361i | −0.373128 | − | 1.78110i | ||||
\(593\) | −3.92427 | + | 22.2556i | −0.161150 | + | 0.913930i | 0.791795 | + | 0.610787i | \(0.209147\pi\) |
−0.952945 | + | 0.303143i | \(0.901964\pi\) | |||||||
\(594\) | −45.7241 | + | 14.8196i | −1.87608 | + | 0.608055i | ||||
\(595\) | 4.12067 | + | 11.3215i | 0.168931 | + | 0.464134i | ||||
\(596\) | −9.02438 | + | 35.9700i | −0.369653 | + | 1.47339i | ||||
\(597\) | −66.1962 | + | 38.2184i | −2.70923 | + | 1.56417i | ||||
\(598\) | 2.48425 | + | 1.55487i | 0.101589 | + | 0.0635833i | ||||
\(599\) | 24.7817 | + | 20.7943i | 1.01255 | + | 0.849632i | 0.988673 | − | 0.150083i | \(-0.0479539\pi\) |
0.0238789 | + | 0.999715i | \(0.492398\pi\) | |||||||
\(600\) | 27.9255 | + | 20.3831i | 1.14005 | + | 0.832135i | ||||
\(601\) | 30.9510 | + | 17.8696i | 1.26252 | + | 0.728915i | 0.973561 | − | 0.228427i | \(-0.0733583\pi\) |
0.288957 | + | 0.957342i | \(0.406692\pi\) | |||||||
\(602\) | −11.4604 | + | 6.08283i | −0.467091 | + | 0.247918i | ||||
\(603\) | −8.47071 | − | 48.0398i | −0.344954 | − | 1.95633i | ||||
\(604\) | 3.95264 | + | 38.1449i | 0.160831 | + | 1.55209i | ||||
\(605\) | −3.88719 | − | 1.41482i | −0.158037 | − | 0.0575207i | ||||
\(606\) | 27.8266 | − | 30.8591i | 1.13038 | − | 1.25356i | ||||
\(607\) | 35.8454 | 1.45492 | 0.727460 | − | 0.686150i | \(-0.240701\pi\) | ||||
0.727460 | + | 0.686150i | \(0.240701\pi\) | |||||||
\(608\) | −22.5306 | − | 10.0187i | −0.913735 | − | 0.406310i | ||||
\(609\) | −27.9724 | −1.13350 | ||||||||
\(610\) | 9.05589 | − | 10.0428i | 0.366662 | − | 0.406620i | ||||
\(611\) | −2.72386 | − | 0.991403i | −0.110196 | − | 0.0401079i | ||||
\(612\) | 4.99654 | + | 48.2191i | 0.201973 | + | 1.94914i | ||||
\(613\) | −2.07723 | − | 11.7805i | −0.0838984 | − | 0.475812i | −0.997589 | − | 0.0694008i | \(-0.977891\pi\) |
0.913690 | − | 0.406411i | \(-0.133220\pi\) | |||||||
\(614\) | 36.1866 | − | 19.2067i | 1.46037 | − | 0.775120i | ||||
\(615\) | 12.5567 | + | 7.24962i | 0.506335 | + | 0.292333i | ||||
\(616\) | −27.6362 | − | 20.1719i | −1.11349 | − | 0.812749i | ||||
\(617\) | −12.3624 | − | 10.3733i | −0.497691 | − | 0.417612i | 0.359082 | − | 0.933306i | \(-0.383090\pi\) |
−0.856773 | + | 0.515694i | \(0.827534\pi\) | |||||||
\(618\) | −7.02052 | − | 4.39407i | −0.282407 | − | 0.176755i | ||||
\(619\) | 21.6900 | − | 12.5227i | 0.871796 | − | 0.503332i | 0.00385145 | − | 0.999993i | \(-0.498774\pi\) |
0.867945 | + | 0.496661i | \(0.165441\pi\) | |||||||
\(620\) | 0.518630 | − | 2.06719i | 0.0208287 | − | 0.0830203i | ||||
\(621\) | 7.38940 | + | 20.3022i | 0.296526 | + | 0.814700i | ||||
\(622\) | 12.4331 | − | 4.02967i | 0.498520 | − | 0.161575i | ||||
\(623\) | 0.398756 | − | 2.26146i | 0.0159758 | − | 0.0906034i | ||||
\(624\) | −2.03670 | − | 9.72204i | −0.0815332 | − | 0.389193i | ||||
\(625\) | 9.38717 | − | 7.87677i | 0.375487 | − | 0.315071i | ||||
\(626\) | −35.3073 | + | 4.93572i | −1.41116 | + | 0.197271i | ||||
\(627\) | −14.2509 | − | 48.9346i | −0.569126 | − | 1.95426i | ||||
\(628\) | −15.3164 | + | 4.36761i | −0.611191 | + | 0.174287i | ||||
\(629\) | −29.1974 | − | 34.7962i | −1.16418 | − | 1.38741i | ||||
\(630\) | 5.11672 | − | 23.9858i | 0.203855 | − | 0.955616i | ||||
\(631\) | 33.3599 | + | 5.88225i | 1.32804 | + | 0.234169i | 0.792257 | − | 0.610188i | \(-0.208906\pi\) |
0.535781 | + | 0.844357i | \(0.320017\pi\) | |||||||
\(632\) | −5.16257 | − | 7.69025i | −0.205356 | − | 0.305902i | ||||
\(633\) | 8.81066 | − | 3.20682i | 0.350192 | − | 0.127460i | ||||
\(634\) | 39.7958 | + | 16.1125i | 1.58049 | + | 0.639908i | ||||
\(635\) | −0.763166 | − | 1.32184i | −0.0302853 | − | 0.0524557i | ||||
\(636\) | 10.5628 | − | 23.6311i | 0.418842 | − | 0.937034i | ||||
\(637\) | 1.35476 | − | 1.61454i | 0.0536775 | − | 0.0639704i | ||||
\(638\) | −10.3458 | − | 13.2620i | −0.409593 | − | 0.525048i | ||||
\(639\) | −28.2522 | + | 48.9343i | −1.11764 | + | 1.93581i | ||||
\(640\) | 2.65623 | − | 10.4253i | 0.104997 | − | 0.412096i | ||||
\(641\) | −7.27625 | + | 1.28300i | −0.287395 | + | 0.0506755i | −0.315487 | − | 0.948930i | \(-0.602168\pi\) |
0.0280923 | + | 0.999605i | \(0.491057\pi\) | |||||||
\(642\) | −0.450966 | + | 12.6481i | −0.0177982 | + | 0.499180i | ||||
\(643\) | −15.7177 | + | 43.1840i | −0.619845 | + | 1.70301i | 0.0875217 | + | 0.996163i | \(0.472105\pi\) |
−0.707366 | + | 0.706847i | \(0.750117\pi\) | |||||||
\(644\) | −8.61872 | + | 12.7374i | −0.339625 | + | 0.501926i | ||||
\(645\) | − | 8.43271i | − | 0.332038i | ||||||
\(646\) | −25.2283 | + | 1.85034i | −0.992594 | + | 0.0728007i | ||||
\(647\) | 41.8157i | 1.64394i | 0.569529 | + | 0.821971i | \(0.307126\pi\) | ||||
−0.569529 | + | 0.821971i | \(0.692874\pi\) | |||||||
\(648\) | 10.1747 | − | 20.7453i | 0.399700 | − | 0.814951i | ||||
\(649\) | 1.18432 | − | 3.25390i | 0.0464887 | − | 0.127727i | ||||
\(650\) | −4.81658 | − | 0.171735i | −0.188922 | − | 0.00673600i | ||||
\(651\) | 10.1692 | − | 1.79311i | 0.398564 | − | 0.0702776i | ||||
\(652\) | −19.9892 | − | 27.5978i | −0.782838 | − | 1.08081i | ||||
\(653\) | 12.8848 | − | 22.3172i | 0.504223 | − | 0.873339i | −0.495766 | − | 0.868456i | \(-0.665112\pi\) |
0.999988 | − | 0.00488267i | \(-0.00155421\pi\) | |||||||
\(654\) | −30.8183 | + | 24.0415i | −1.20509 | + | 0.940097i | ||||
\(655\) | 5.99443 | − | 7.14388i | 0.234222 | − | 0.279135i | ||||
\(656\) | −2.90354 | + | 20.2291i | −0.113364 | + | 0.789814i | ||||
\(657\) | 7.66483 | + | 13.2759i | 0.299034 | + | 0.517941i | ||||
\(658\) | 5.70854 | − | 14.0994i | 0.222542 | − | 0.549651i | ||||
\(659\) | −20.9947 | + | 7.64146i | −0.817839 | + | 0.297669i | −0.716858 | − | 0.697219i | \(-0.754420\pi\) |
−0.100981 | + | 0.994888i | \(0.532198\pi\) | |||||||
\(660\) | 20.0013 | − | 9.71899i | 0.778548 | − | 0.378311i | ||||
\(661\) | 29.7635 | + | 5.24811i | 1.15767 | + | 0.204128i | 0.719320 | − | 0.694679i | \(-0.244454\pi\) |
0.438346 | + | 0.898807i | \(0.355565\pi\) | |||||||
\(662\) | −27.9667 | − | 5.96595i | −1.08696 | − | 0.231873i | ||||
\(663\) | −6.55017 | − | 7.80619i | −0.254388 | − | 0.303167i | ||||
\(664\) | 14.1547 | + | 31.9811i | 0.549309 | + | 1.24111i | ||||
\(665\) | 12.4302 | + | 3.04470i | 0.482024 | + | 0.118068i | ||||
\(666\) | 12.8015 | + | 91.5747i | 0.496049 | + | 3.54845i | ||||
\(667\) | −5.79169 | + | 4.85980i | −0.224255 | + | 0.188172i | ||||
\(668\) | 24.3040 | + | 1.73532i | 0.940350 | + | 0.0671416i | ||||
\(669\) | 1.93673 | − | 10.9837i | 0.0748782 | − | 0.424656i | ||||
\(670\) | 3.42421 | + | 10.5650i | 0.132289 | + | 0.408161i | ||||
\(671\) | 13.4747 | + | 37.0215i | 0.520185 | + | 1.42920i | ||||
\(672\) | 51.3662 | − | 8.86319i | 1.98149 | − | 0.341905i | ||||
\(673\) | −13.8432 | + | 7.99236i | −0.533615 | + | 0.308083i | −0.742487 | − | 0.669860i | \(-0.766354\pi\) |
0.208872 | + | 0.977943i | \(0.433021\pi\) | |||||||
\(674\) | −9.83894 | + | 15.7199i | −0.378982 | + | 0.605509i | ||||
\(675\) | −27.2177 | − | 22.8384i | −1.04761 | − | 0.879050i | ||||
\(676\) | −17.6817 | − | 17.1252i | −0.680064 | − | 0.658660i | ||||
\(677\) | −15.2731 | − | 8.81795i | −0.586994 | − | 0.338901i | 0.176914 | − | 0.984226i | \(-0.443389\pi\) |
−0.763908 | + | 0.645325i | \(0.776722\pi\) | |||||||
\(678\) | 20.9408 | + | 39.4538i | 0.804228 | + | 1.51521i | ||||
\(679\) | −5.09190 | − | 28.8776i | −0.195409 | − | 1.10822i | ||||
\(680\) | −2.64651 | − | 10.7149i | −0.101489 | − | 0.410898i | ||||
\(681\) | −39.7685 | − | 14.4746i | −1.52393 | − | 0.554667i | ||||
\(682\) | 4.61129 | + | 4.15815i | 0.176576 | + | 0.159224i | ||||
\(683\) | 28.6039 | 1.09450 | 0.547249 | − | 0.836970i | \(-0.315675\pi\) | ||||
0.547249 | + | 0.836970i | \(0.315675\pi\) | |||||||
\(684\) | 45.5305 | + | 24.0535i | 1.74090 | + | 0.919708i | ||||
\(685\) | 5.25698 | 0.200859 | ||||||||
\(686\) | −14.4855 | − | 13.0621i | −0.553061 | − | 0.498713i | ||||
\(687\) | 21.9950 | + | 8.00553i | 0.839162 | + | 0.305430i | ||||
\(688\) | 11.0333 | − | 4.42014i | 0.420640 | − | 0.168516i | ||||
\(689\) | 0.626591 | + | 3.55358i | 0.0238712 | + | 0.135380i | ||||
\(690\) | −4.68619 | − | 8.82905i | −0.178400 | − | 0.336116i | ||||
\(691\) | −4.66323 | − | 2.69231i | −0.177397 | − | 0.102420i | 0.408672 | − | 0.912681i | \(-0.365992\pi\) |
−0.586069 | + | 0.810261i | \(0.699325\pi\) | |||||||
\(692\) | 30.5074 | − | 31.4988i | 1.15972 | − | 1.19741i | ||||
\(693\) | 54.7358 | + | 45.9288i | 2.07924 | + | 1.74469i | ||||
\(694\) | 3.52545 | − | 5.63271i | 0.133824 | − | 0.213815i | ||||
\(695\) | −7.52302 | + | 4.34342i | −0.285365 | + | 0.164755i | ||||
\(696\) | 25.4785 | + | 2.73458i | 0.965760 | + | 0.103654i | ||||
\(697\) | 7.17064 | + | 19.7012i | 0.271607 | + | 0.746235i | ||||
\(698\) | −9.44310 | − | 29.1355i | −0.357427 | − | 1.10280i | ||||
\(699\) | 1.06016 | − | 6.01244i | 0.0400988 | − | 0.227411i | ||||
\(700\) | 1.80126 | − | 25.2275i | 0.0680813 | − | 0.953511i | ||||
\(701\) | 4.35970 | − | 3.65823i | 0.164664 | − | 0.138169i | −0.556732 | − | 0.830692i | \(-0.687945\pi\) |
0.721396 | + | 0.692523i | \(0.243501\pi\) | |||||||
\(702\) | 1.41327 | + | 10.1098i | 0.0533406 | + | 0.381568i | ||||
\(703\) | −47.9639 | + | 5.24172i | −1.80899 | + | 0.197695i | ||||
\(704\) | 23.2002 | + | 21.0751i | 0.874392 | + | 0.794299i | ||||
\(705\) | 6.35479 | + | 7.57335i | 0.239335 | + | 0.285229i | ||||
\(706\) | −34.4844 | − | 7.35631i | −1.29784 | − | 0.276858i | ||||
\(707\) | −29.9356 | − | 5.27845i | −1.12584 | − | 0.198517i | ||||
\(708\) | 2.30560 | + | 4.74483i | 0.0866498 | + | 0.178322i | ||||
\(709\) | −28.6122 | + | 10.4140i | −1.07455 | + | 0.391105i | −0.817877 | − | 0.575393i | \(-0.804849\pi\) |
−0.256675 | + | 0.966498i | \(0.582627\pi\) | |||||||
\(710\) | 4.82786 | − | 11.9242i | 0.181187 | − | 0.447507i | ||||
\(711\) | 9.67154 | + | 16.7516i | 0.362711 | + | 0.628234i | ||||
\(712\) | −0.584284 | + | 2.02085i | −0.0218970 | + | 0.0757346i | ||||
\(713\) | 1.79402 | − | 2.13802i | 0.0671864 | − | 0.0800697i | ||||
\(714\) | 42.1629 | − | 32.8915i | 1.57791 | − | 1.23093i | ||||
\(715\) | −1.55001 | + | 2.68469i | −0.0579669 | + | 0.100402i | ||||
\(716\) | −0.595983 | + | 0.431673i | −0.0222729 | + | 0.0161324i | ||||
\(717\) | 64.8496 | − | 11.4347i | 2.42185 | − | 0.427038i | ||||
\(718\) | −34.0281 | − | 1.21327i | −1.26992 | − | 0.0452789i | ||||
\(719\) | −2.98701 | + | 8.20674i | −0.111397 | + | 0.306060i | −0.982847 | − | 0.184425i | \(-0.940958\pi\) |
0.871450 | + | 0.490484i | \(0.163180\pi\) | |||||||
\(720\) | −7.00537 | + | 21.3471i | −0.261075 | + | 0.795559i | ||||
\(721\) | 6.05882i | 0.225642i | ||||||||
\(722\) | −13.2594 | + | 23.3707i | −0.493463 | + | 0.869767i | ||||
\(723\) | 28.7455i | 1.06906i | ||||||||
\(724\) | −31.2755 | − | 21.1624i | −1.16235 | − | 0.786495i | ||||
\(725\) | 4.25249 | − | 11.6836i | 0.157933 | − | 0.433919i | ||||
\(726\) | −0.654224 | + | 18.3488i | −0.0242805 | + | 0.680987i | ||||
\(727\) | 21.6522 | − | 3.81787i | 0.803036 | − | 0.141597i | 0.242958 | − | 0.970037i | \(-0.421882\pi\) |
0.560078 | + | 0.828440i | \(0.310771\pi\) | |||||||
\(728\) | −5.23816 | + | 5.03621i | −0.194139 | + | 0.186654i | ||||
\(729\) | 14.7074 | − | 25.4740i | 0.544719 | − | 0.943481i | ||||
\(730\) | −2.14672 | − | 2.75184i | −0.0794538 | − | 0.101850i | ||||
\(731\) | 7.83782 | − | 9.34075i | 0.289892 | − | 0.345480i | ||||
\(732\) | −54.7956 | − | 24.4929i | −2.02530 | − | 0.905285i | ||||
\(733\) | 10.4654 | + | 18.1267i | 0.386549 | + | 0.669523i | 0.991983 | − | 0.126373i | \(-0.0403335\pi\) |
−0.605433 | + | 0.795896i | \(0.707000\pi\) | |||||||
\(734\) | −13.6180 | − | 5.51364i | −0.502648 | − | 0.203512i | ||||
\(735\) | −6.75485 | + | 2.45856i | −0.249156 | + | 0.0906855i | ||||
\(736\) | 9.09552 | − | 10.7593i | 0.335265 | − | 0.396592i | ||||
\(737\) | −31.8648 | − | 5.61863i | −1.17376 | − | 0.206965i | ||||
\(738\) | 8.90392 | − | 41.7391i | 0.327758 | − | 1.53644i | ||||
\(739\) | 9.03080 | + | 10.7625i | 0.332203 | + | 0.395905i | 0.906128 | − | 0.423003i | \(-0.139024\pi\) |
−0.573925 | + | 0.818908i | \(0.694580\pi\) | |||||||
\(740\) | −5.77296 | − | 20.2447i | −0.212218 | − | 0.744210i | ||||
\(741\) | −10.7603 | + | 1.17593i | −0.395288 | + | 0.0431989i | ||||
\(742\) | −18.7532 | + | 2.62157i | −0.688452 | + | 0.0962408i | ||||
\(743\) | 15.7144 | − | 13.1860i | 0.576506 | − | 0.483746i | −0.307291 | − | 0.951615i | \(-0.599423\pi\) |
0.883798 | + | 0.467869i | \(0.154978\pi\) | |||||||
\(744\) | −9.43789 | + | 0.639102i | −0.346010 | + | 0.0234306i | ||||
\(745\) | −3.06180 | + | 17.3644i | −0.112176 | + | 0.636181i | ||||
\(746\) | 10.9559 | − | 3.55090i | 0.401123 | − | 0.130008i | ||||
\(747\) | −24.9800 | − | 68.6321i | −0.913971 | − | 2.51112i | ||||
\(748\) | 31.1884 | + | 7.82474i | 1.14036 | + | 0.286101i | ||||
\(749\) | 8.01809 | − | 4.62925i | 0.292975 | − | 0.169149i | ||||
\(750\) | 30.9439 | + | 19.3675i | 1.12991 | + | 0.707201i | ||||
\(751\) | −25.9874 | − | 21.8061i | −0.948295 | − | 0.795714i | 0.0307144 | − | 0.999528i | \(-0.490222\pi\) |
−0.979010 | + | 0.203814i | \(0.934666\pi\) | |||||||
\(752\) | −6.57794 | + | 12.2843i | −0.239873 | + | 0.447961i | ||||
\(753\) | 4.27350 | + | 2.46731i | 0.155735 | + | 0.0899136i | ||||
\(754\) | −3.15530 | + | 1.67474i | −0.114909 | + | 0.0609903i | ||||
\(755\) | 3.16619 | + | 17.9564i | 0.115230 | + | 0.653499i | ||||
\(756\) | −53.2829 | + | 5.52127i | −1.93788 | + | 0.200807i | ||||
\(757\) | −26.8038 | − | 9.75577i | −0.974199 | − | 0.354580i | −0.194617 | − | 0.980879i | \(-0.562346\pi\) |
−0.779582 | + | 0.626300i | \(0.784569\pi\) | |||||||
\(758\) | −25.2170 | + | 27.9651i | −0.915923 | + | 1.01574i | ||||
\(759\) | 29.1213 | 1.05704 | ||||||||
\(760\) | −11.0244 | − | 3.98842i | −0.399896 | − | 0.144675i | ||||
\(761\) | 16.4874 | 0.597667 | 0.298834 | − | 0.954305i | \(-0.403402\pi\) | ||||
0.298834 | + | 0.954305i | \(0.403402\pi\) | |||||||
\(762\) | −4.53676 | + | 5.03116i | −0.164350 | + | 0.182260i | ||||
\(763\) | 26.8691 | + | 9.77956i | 0.972727 | + | 0.354044i | ||||
\(764\) | 29.6662 | − | 3.07407i | 1.07329 | − | 0.111216i | ||||
\(765\) | 4.00239 | + | 22.6987i | 0.144707 | + | 0.820673i | ||||
\(766\) | −22.9183 | + | 12.1643i | −0.828073 | + | 0.439516i | ||||
\(767\) | −0.636879 | − | 0.367702i | −0.0229964 | − | 0.0132770i | ||||
\(768\) | −47.6530 | + | 3.05144i | −1.71953 | + | 0.110109i | ||||
\(769\) | 1.90875 | + | 1.60163i | 0.0688314 | + | 0.0577564i | 0.676554 | − | 0.736393i | \(-0.263472\pi\) |
−0.607723 | + | 0.794149i | \(0.707917\pi\) | |||||||
\(770\) | −13.7895 | − | 8.63070i | −0.496939 | − | 0.311029i | ||||
\(771\) | −53.4668 | + | 30.8691i | −1.92556 | + | 1.11172i | ||||
\(772\) | 14.5026 | + | 3.63851i | 0.521961 | + | 0.130953i | ||||
\(773\) | −0.00136352 | − | 0.00374623i | −4.90422e−5 | − | 0.000134742i | 0.939668 | − | 0.342088i | \(-0.111134\pi\) |
−0.939717 | + | 0.341953i | \(0.888912\pi\) | |||||||
\(774\) | −23.6123 | + | 7.65296i | −0.848727 | + | 0.275080i | ||||
\(775\) | −0.797020 | + | 4.52013i | −0.0286298 | + | 0.162368i | ||||
\(776\) | 1.81486 | + | 26.8008i | 0.0651496 | + | 0.962092i | ||||
\(777\) | 78.1346 | − | 65.5627i | 2.80306 | − | 2.35205i | ||||
\(778\) | 25.3014 | − | 3.53696i | 0.907098 | − | 0.126806i | ||||
\(779\) | 21.6306 | + | 5.29827i | 0.774998 | + | 0.189830i | ||||
\(780\) | −1.29511 | − | 4.54171i | −0.0463723 | − | 0.162619i | ||||
\(781\) | 24.0913 | + | 28.7109i | 0.862055 | + | 1.02736i | ||||
\(782\) | 3.01540 | − | 14.1354i | 0.107830 | − | 0.505480i | ||||
\(783\) | −25.9341 | − | 4.57288i | −0.926809 | − | 0.163422i | ||||
\(784\) | −6.75743 | − | 7.54930i | −0.241337 | − | 0.269618i | ||||
\(785\) | −7.11590 | + | 2.58998i | −0.253977 | + | 0.0924402i | ||||
\(786\) | −38.3663 | − | 15.5337i | −1.36848 | − | 0.554070i | ||||
\(787\) | −14.7870 | − | 25.6119i | −0.527100 | − | 0.912964i | −0.999501 | − | 0.0315805i | \(-0.989946\pi\) |
0.472401 | − | 0.881384i | \(-0.343387\pi\) | |||||||
\(788\) | 39.1328 | + | 17.4919i | 1.39405 | + | 0.623121i | ||||
\(789\) | −28.2977 | + | 33.7239i | −1.00743 | + | 1.20060i | ||||
\(790\) | −2.70875 | − | 3.47229i | −0.0963730 | − | 0.123538i | ||||
\(791\) | 16.3378 | − | 28.2979i | 0.580906 | − | 1.00616i | ||||
\(792\) | −45.3658 | − | 47.1849i | −1.61200 | − | 1.67664i | ||||
\(793\) | 8.24000 | − | 1.45293i | 0.292611 | − | 0.0515952i | ||||
\(794\) | 0.0249241 | − | 0.699038i | 0.000884525 | − | 0.0248079i | ||||
\(795\) | 4.20921 | − | 11.5647i | 0.149285 | − | 0.410158i | ||||
\(796\) | −42.4245 | − | 28.7063i | −1.50370 | − | 1.01747i | ||||
\(797\) | − | 23.5686i | − | 0.834844i | −0.908713 | − | 0.417422i | \(-0.862934\pi\) | ||
0.908713 | − | 0.417422i | \(-0.137066\pi\) | |||||||
\(798\) | −4.15493 | − | 56.6500i | −0.147083 | − | 2.00539i | ||||
\(799\) | 14.2953i | 0.505733i | ||||||||
\(800\) | −4.10690 | + | 22.8022i | −0.145201 | + | 0.806181i | ||||
\(801\) | 1.50252 | − | 4.12815i | 0.0530891 | − | 0.145861i | ||||
\(802\) | −40.9664 | − | 1.46065i | −1.44657 | − | 0.0515775i | ||||
\(803\) | 10.0137 | − | 1.76568i | 0.353376 | − | 0.0623096i | ||||
\(804\) | 39.9219 | − | 28.9156i | 1.40794 | − | 1.01978i | ||||
\(805\) | −3.65611 | + | 6.33257i | −0.128861 | + | 0.223194i | ||||
\(806\) | 1.03974 | − | 0.811108i | 0.0366233 | − | 0.0285701i | ||||
\(807\) | 14.6554 | − | 17.4657i | 0.515896 | − | 0.614820i | ||||
\(808\) | 26.7506 | + | 7.73434i | 0.941084 | + | 0.272093i | ||||
\(809\) | 9.96738 | + | 17.2640i | 0.350434 | + | 0.606970i | 0.986326 | − | 0.164809i | \(-0.0527006\pi\) |
−0.635891 | + | 0.771779i | \(0.719367\pi\) | |||||||
\(810\) | 4.12288 | − | 10.1830i | 0.144863 | − | 0.357793i | ||||
\(811\) | −7.15270 | + | 2.60337i | −0.251165 | + | 0.0914167i | −0.464535 | − | 0.885555i | \(-0.653778\pi\) |
0.213369 | + | 0.976972i | \(0.431556\pi\) | |||||||
\(812\) | −8.19284 | − | 16.8605i | −0.287512 | − | 0.591688i | ||||
\(813\) | 4.41458 | + | 0.778409i | 0.154826 | + | 0.0273000i | ||||
\(814\) | 59.9825 | + | 12.7957i | 2.10239 | + | 0.448487i | ||||
\(815\) | −10.4144 | − | 12.4114i | −0.364800 | − | 0.434752i | ||||
\(816\) | −41.6192 | + | 25.8372i | −1.45696 | + | 0.904481i | ||||
\(817\) | −3.62154 | − | 12.4356i | −0.126702 | − | 0.435066i | ||||
\(818\) | −1.35822 | − | 9.71591i | −0.0474890 | − | 0.339709i | ||||
\(819\) | 11.6247 | − | 9.75424i | 0.406198 | − | 0.340841i | ||||
\(820\) | −0.692012 | + | 9.69197i | −0.0241661 | + | 0.338458i | ||||
\(821\) | −3.47380 | + | 19.7009i | −0.121237 | + | 0.687567i | 0.862236 | + | 0.506507i | \(0.169064\pi\) |
−0.983472 | + | 0.181059i | \(0.942047\pi\) | |||||||
\(822\) | −7.19400 | − | 22.1962i | −0.250919 | − | 0.774182i | ||||
\(823\) | −4.87923 | − | 13.4056i | −0.170079 | − | 0.467289i | 0.825143 | − | 0.564924i | \(-0.191094\pi\) |
−0.995222 | + | 0.0976351i | \(0.968872\pi\) | |||||||
\(824\) | 0.592308 | − | 5.51863i | 0.0206340 | − | 0.192251i | ||||
\(825\) | −41.4745 | + | 23.9453i | −1.44396 | + | 0.833669i | ||||
\(826\) | 2.04743 | − | 3.27124i | 0.0712393 | − | 0.113821i | ||||
\(827\) | 38.9790 | + | 32.7073i | 1.35543 | + | 1.13734i | 0.977363 | + | 0.211568i | \(0.0678568\pi\) |
0.378071 | + | 0.925777i | \(0.376588\pi\) | |||||||
\(828\) | −20.4692 | + | 21.1344i | −0.711354 | + | 0.734470i | ||||
\(829\) | 17.8100 | + | 10.2826i | 0.618567 | + | 0.357130i | 0.776311 | − | 0.630350i | \(-0.217089\pi\) |
−0.157744 | + | 0.987480i | \(0.550422\pi\) | |||||||
\(830\) | 7.79580 | + | 14.6877i | 0.270596 | + | 0.509819i | ||||
\(831\) | 5.83748 | + | 33.1060i | 0.202500 | + | 1.14843i | ||||
\(832\) | 5.26348 | − | 4.07512i | 0.182478 | − | 0.141279i | ||||
\(833\) | −9.76734 | − | 3.55502i | −0.338418 | − | 0.123174i | ||||
\(834\) | 28.6339 | + | 25.8202i | 0.991512 | + | 0.894079i | ||||
\(835\) | 11.5849 | 0.400913 | ||||||||
\(836\) | 25.3216 | − | 22.9223i | 0.875767 | − | 0.792783i | ||||
\(837\) | 9.72137 | 0.336020 | ||||||||
\(838\) | −26.4001 | − | 23.8059i | −0.911977 | − | 0.822360i | ||||
\(839\) | −17.8217 | − | 6.48656i | −0.615272 | − | 0.223941i | 0.0155363 | − | 0.999879i | \(-0.495054\pi\) |
−0.630809 | + | 0.775939i | \(0.717277\pi\) | |||||||
\(840\) | 24.0603 | − | 5.94271i | 0.830158 | − | 0.205043i | ||||
\(841\) | 3.43556 | + | 19.4840i | 0.118468 | + | 0.671864i | ||||
\(842\) | 15.7787 | + | 29.7280i | 0.543769 | + | 1.02449i | ||||
\(843\) | 59.2005 | + | 34.1794i | 2.03897 | + | 1.17720i | ||||
\(844\) | 4.51348 | + | 4.37143i | 0.155360 | + | 0.150471i | ||||
\(845\) | −8.96541 | − | 7.52287i | −0.308419 | − | 0.258795i | ||||
\(846\) | 15.4388 | − | 24.6670i | 0.530798 | − | 0.848070i | ||||
\(847\) | 11.6320 | − | 6.71573i | 0.399680 | − | 0.230755i | ||||
\(848\) | 17.3375 | − | 0.554532i | 0.595373 | − | 0.0190427i | ||||
\(849\) | −18.9970 | − | 52.1938i | −0.651975 | − | 1.79129i | ||||
\(850\) | 7.32845 | + | 22.6110i | 0.251364 | + | 0.775552i | ||||
\(851\) | 4.78719 | − | 27.1495i | 0.164103 | − | 0.930673i | ||||
\(852\) | −56.9536 | − | 4.06652i | −1.95120 | − | 0.139317i | ||||
\(853\) | 5.99511 | − | 5.03049i | 0.205269 | − | 0.172241i | −0.534358 | − | 0.845258i | \(-0.679447\pi\) |
0.739627 | + | 0.673017i | \(0.235002\pi\) | |||||||
\(854\) | 6.07887 | + | 43.4848i | 0.208015 | + | 1.48802i | ||||
\(855\) | 22.4073 | + | 9.86562i | 0.766314 | + | 0.337397i | ||||
\(856\) | −7.75578 | + | 3.43267i | −0.265087 | + | 0.117326i | ||||
\(857\) | 19.4931 | + | 23.2309i | 0.665871 | + | 0.793554i | 0.988216 | − | 0.153068i | \(-0.0489154\pi\) |
−0.322345 | + | 0.946622i | \(0.604471\pi\) | |||||||
\(858\) | 13.4565 | + | 2.87059i | 0.459398 | + | 0.0980002i | ||||
\(859\) | −38.2799 | − | 6.74979i | −1.30609 | − | 0.230300i | −0.523070 | − | 0.852290i | \(-0.675213\pi\) |
−0.783025 | + | 0.621990i | \(0.786324\pi\) | |||||||
\(860\) | 5.08286 | − | 2.46986i | 0.173324 | − | 0.0842214i | ||||
\(861\) | −44.2388 | + | 16.1016i | −1.50766 | + | 0.548742i | ||||
\(862\) | −2.18033 | + | 5.38513i | −0.0742622 | + | 0.183418i | ||||
\(863\) | −14.7302 | − | 25.5135i | −0.501423 | − | 0.868490i | −0.999999 | − | 0.00164372i | \(-0.999477\pi\) |
0.498576 | − | 0.866846i | \(-0.333857\pi\) | |||||||
\(864\) | 49.0722 | + | 0.179911i | 1.66947 | + | 0.00612070i | ||||
\(865\) | 13.4015 | − | 15.9713i | 0.455666 | − | 0.543042i | ||||
\(866\) | 12.4763 | − | 9.73285i | 0.423963 | − | 0.330736i | ||||
\(867\) | 0.239896 | − | 0.415513i | 0.00814731 | − | 0.0141116i | ||||
\(868\) | 4.05928 | + | 5.60439i | 0.137781 | + | 0.190225i | ||||
\(869\) | 12.6353 | − | 2.22795i | 0.428625 | − | 0.0755781i | ||||
\(870\) | 12.1758 | + | 0.434126i | 0.412797 | + | 0.0147182i | ||||
\(871\) | −2.35028 | + | 6.45734i | −0.0796362 | + | 0.218799i | ||||
\(872\) | −23.5175 | − | 11.5344i | −0.796403 | − | 0.390603i | ||||
\(873\) | − | 56.0974i | − | 1.89861i | ||||||
\(874\) | −10.7024 | − | 11.0075i | −0.362014 | − | 0.372335i | ||||
\(875\) | − | 26.7051i | − | 0.902798i | ||||||
\(876\) | −8.68119 | + | 12.8298i | −0.293310 | + | 0.433478i | ||||
\(877\) | 11.5291 | − | 31.6760i | 0.389311 | − | 1.06962i | −0.578002 | − | 0.816035i | \(-0.696167\pi\) |
0.967313 | − | 0.253587i | \(-0.0816103\pi\) | |||||||
\(878\) | −1.22605 | + | 34.3864i | −0.0413771 | + | 1.16049i | ||||
\(879\) | −59.9215 | + | 10.5658i | −2.02110 | + | 0.356375i | ||||
\(880\) | 11.7163 | + | 9.20928i | 0.394958 | + | 0.310445i | ||||
\(881\) | −13.9103 | + | 24.0933i | −0.468649 | + | 0.811724i | −0.999358 | − | 0.0358302i | \(-0.988592\pi\) |
0.530709 | + | 0.847554i | \(0.321926\pi\) | |||||||
\(882\) | 13.0144 | + | 16.6829i | 0.438219 | + | 0.561743i | ||||
\(883\) | −22.1282 | + | 26.3714i | −0.744673 | + | 0.887467i | −0.996776 | − | 0.0802332i | \(-0.974433\pi\) |
0.252103 | + | 0.967700i | \(0.418878\pi\) | |||||||
\(884\) | 2.78675 | − | 6.23451i | 0.0937284 | − | 0.209689i | ||||
\(885\) | 1.25410 | + | 2.17216i | 0.0421561 | + | 0.0730164i | ||||
\(886\) | −19.5708 | − | 7.92383i | −0.657495 | − | 0.266206i | ||||
\(887\) | −16.7427 | + | 6.09383i | −0.562163 | + | 0.204611i | −0.607443 | − | 0.794364i | \(-0.707805\pi\) |
0.0452791 | + | 0.998974i | \(0.485582\pi\) | |||||||
\(888\) | −77.5778 | + | 52.0789i | −2.60334 | + | 1.74765i | ||||
\(889\) | 4.88060 | + | 0.860582i | 0.163690 | + | 0.0288630i | ||||
\(890\) | −0.208667 | + | 0.978173i | −0.00699453 | + | 0.0327884i | ||||
\(891\) | 20.5734 | + | 24.5184i | 0.689234 | + | 0.821397i | ||||
\(892\) | 7.18775 | − | 2.04965i | 0.240664 | − | 0.0686274i | ||||
\(893\) | 12.6238 | + | 8.43916i | 0.422439 | + | 0.282406i | ||||
\(894\) | 77.5064 | − | 10.8349i | 2.59220 | − | 0.362372i | ||||
\(895\) | −0.268028 | + | 0.224902i | −0.00895918 | + | 0.00751764i | ||||
\(896\) | 20.3870 | + | 28.3653i | 0.681081 | + | 0.947618i | ||||
\(897\) | 1.07396 | − | 6.09074i | 0.0358585 | − | 0.203364i | ||||
\(898\) | 45.2179 | − | 14.6555i | 1.50894 | − | 0.489061i | ||||
\(899\) | 1.16352 | + | 3.19674i | 0.0388055 | + | 0.106617i | ||||
\(900\) | 11.7742 | − | 46.9306i | 0.392475 | − | 1.56435i | ||||
\(901\) | 15.4114 | − | 8.89775i | 0.513427 | − | 0.296427i | ||||
\(902\) | −23.9960 | − | 15.0188i | −0.798978 | − | 0.500072i | ||||
\(903\) | 20.9746 | + | 17.5998i | 0.697991 | + | 0.585684i | ||||
\(904\) | −17.6476 | + | 24.1778i | −0.586951 | + | 0.804142i | ||||
\(905\) | −15.5490 | − | 8.97722i | −0.516866 | − | 0.298413i | ||||
\(906\) | 71.4832 | − | 37.9411i | 2.37487 | − | 1.26051i | ||||
\(907\) | −2.92970 | − | 16.6152i | −0.0972792 | − | 0.551698i | −0.994025 | − | 0.109152i | \(-0.965186\pi\) |
0.896746 | − | 0.442546i | \(-0.145925\pi\) | |||||||
\(908\) | −2.92319 | − | 28.2102i | −0.0970094 | − | 0.936187i | ||||
\(909\) | −54.6456 | − | 19.8894i | −1.81248 | − | 0.659689i | ||||
\(910\) | −2.31366 | + | 2.56579i | −0.0766971 | + | 0.0850553i | ||||
\(911\) | −43.3664 | −1.43679 | −0.718396 | − | 0.695635i | \(-0.755123\pi\) | ||||
−0.718396 | + | 0.695635i | \(0.755123\pi\) | |||||||
\(912\) | −1.75360 | + | 52.0055i | −0.0580674 | + | 1.72207i | ||||
\(913\) | −48.4453 | −1.60330 | ||||||||
\(914\) | 39.8548 | − | 44.1980i | 1.31828 | − | 1.46194i | ||||
\(915\) | −26.8162 | − | 9.76029i | −0.886515 | − | 0.322665i | ||||
\(916\) | 1.61674 | + | 15.6024i | 0.0534187 | + | 0.515516i | ||||
\(917\) | 5.25803 | + | 29.8198i | 0.173636 | + | 0.984736i | ||||
\(918\) | 44.4676 | − | 23.6020i | 1.46765 | − | 0.778983i | ||||
\(919\) | −10.4580 | − | 6.03794i | −0.344978 | − | 0.199173i | 0.317493 | − | 0.948261i | \(-0.397159\pi\) |
−0.662471 | + | 0.749087i | \(0.730492\pi\) | |||||||
\(920\) | 3.94922 | − | 5.41056i | 0.130202 | − | 0.178381i | ||||
\(921\) | −66.2279 | − | 55.5718i | −2.18228 | − | 1.83115i | ||||
\(922\) | 7.41798 | + | 4.64283i | 0.244298 | + | 0.152904i | ||||
\(923\) | 6.89337 | − | 3.97989i | 0.226898 | − | 0.131000i | ||||
\(924\) | −17.5704 | + | 70.0333i | −0.578024 | + | 2.30393i | ||||
\(925\) | 15.5061 | + | 42.6027i | 0.509837 | + | 1.40077i | ||||
\(926\) | −16.0205 | + | 5.19239i | −0.526466 | + | 0.170633i | ||||
\(927\) | −2.01275 | + | 11.4149i | −0.0661075 | + | 0.374914i | ||||
\(928\) | 5.81412 | + | 16.1582i | 0.190858 | + | 0.530420i | ||||
\(929\) | −17.9287 | + | 15.0439i | −0.588220 | + | 0.493575i | −0.887635 | − | 0.460548i | \(-0.847653\pi\) |
0.299415 | + | 0.954123i | \(0.403209\pi\) | |||||||
\(930\) | −4.45428 | + | 0.622677i | −0.146061 | + | 0.0204184i | ||||
\(931\) | −8.90542 | + | 6.52657i | −0.291863 | + | 0.213900i | ||||
\(932\) | 3.93454 | − | 1.12197i | 0.128880 | − | 0.0367514i | ||||
\(933\) | −17.7288 | − | 21.1284i | −0.580415 | − | 0.691712i | ||||
\(934\) | 4.72030 | − | 22.1275i | 0.154453 | − | 0.724033i | ||||
\(935\) | 15.0560 | + | 2.65479i | 0.492385 | + | 0.0868208i | ||||
\(936\) | −11.5418 | + | 7.74817i | −0.377256 | + | 0.253257i | ||||
\(937\) | −26.6320 | + | 9.69324i | −0.870028 | + | 0.316664i | −0.738178 | − | 0.674605i | \(-0.764314\pi\) |
−0.131849 | + | 0.991270i | \(0.542092\pi\) | |||||||
\(938\) | −33.4248 | − | 13.5330i | −1.09136 | − | 0.441869i | ||||
\(939\) | 37.6167 | + | 65.1541i | 1.22758 | + | 2.12622i | ||||
\(940\) | −2.70362 | + | 6.04854i | −0.0881824 | + | 0.197282i | ||||
\(941\) | 0.258229 | − | 0.307745i | 0.00841802 | − | 0.0100322i | −0.761819 | − | 0.647790i | \(-0.775693\pi\) |
0.770237 | + | 0.637758i | \(0.220138\pi\) | |||||||
\(942\) | 20.6734 | + | 26.5007i | 0.673574 | + | 0.863440i | ||||
\(943\) | −6.36223 | + | 11.0197i | −0.207183 | + | 0.358851i | ||||
\(944\) | −2.18469 | + | 2.77943i | −0.0711054 | + | 0.0904627i | ||||
\(945\) | −25.0824 | + | 4.42271i | −0.815932 | + | 0.143871i | ||||
\(946\) | −0.586655 | + | 16.4537i | −0.0190738 | + | 0.534955i | ||||
\(947\) | 1.37169 | − | 3.76869i | 0.0445739 | − | 0.122466i | −0.915408 | − | 0.402526i | \(-0.868132\pi\) |
0.959982 | + | 0.280060i | \(0.0903545\pi\) | |||||||
\(948\) | −10.9540 | + | 16.1887i | −0.355769 | + | 0.525784i | ||||
\(949\) | − | 2.15949i | − | 0.0701000i | ||||||
\(950\) | 24.2934 | + | 6.87674i | 0.788183 | + | 0.223111i | ||||
\(951\) | − | 90.6032i | − | 2.93801i | ||||||
\(952\) | 32.1746 | + | 15.7803i | 1.04278 | + | 0.511443i | ||||
\(953\) | 12.2206 | − | 33.5757i | 0.395863 | − | 1.08762i | −0.568417 | − | 0.822740i | \(-0.692444\pi\) |
0.964280 | − | 0.264884i | \(-0.0853336\pi\) | |||||||
\(954\) | −36.2022 | − | 1.29079i | −1.17209 | − | 0.0417908i | ||||
\(955\) | 13.9651 | − | 2.46242i | 0.451900 | − | 0.0796821i | ||||
\(956\) | 25.8862 | + | 35.7393i | 0.837218 | + | 1.15589i | ||||
\(957\) | −17.7477 | + | 30.7400i | −0.573703 | + | 0.993682i | ||||
\(958\) | −13.7872 | + | 10.7555i | −0.445445 | + | 0.347494i | ||||
\(959\) | −10.9718 | + | 13.0756i | −0.354297 | + | 0.422235i | ||||
\(960\) | −22.4961 | + | 3.06076i | −0.726059 | + | 0.0987855i | ||||
\(961\) | 14.8721 | + | 25.7592i | 0.479745 | + | 0.830942i | ||||
\(962\) | 4.88831 | − | 12.0735i | 0.157606 | − | 0.389265i | ||||
\(963\) | 16.6441 | − | 6.05794i | 0.536347 | − | 0.195214i | ||||
\(964\) | −17.3265 | + | 8.41927i | −0.558049 | + | 0.271167i | ||||
\(965\) | 7.00108 | + | 1.23448i | 0.225373 | + | 0.0397393i | ||||
\(966\) | 31.7409 | + | 6.77106i | 1.02125 | + | 0.217855i | ||||
\(967\) | 30.5866 | + | 36.4517i | 0.983598 | + | 1.17221i | 0.985061 | + | 0.172208i | \(0.0550901\pi\) |
−0.00146235 | + | 0.999999i | \(0.500465\pi\) | |||||||
\(968\) | −11.2514 | + | 4.97984i | −0.361635 | + | 0.160058i | ||||
\(969\) | 23.5993 | + | 47.8825i | 0.758120 | + | 1.53821i | ||||
\(970\) | 1.76822 | + | 12.6488i | 0.0567740 | + | 0.406129i | ||||
\(971\) | −38.0365 | + | 31.9164i | −1.22065 | + | 1.02425i | −0.221859 | + | 0.975079i | \(0.571212\pi\) |
−0.998791 | + | 0.0491676i | \(0.984343\pi\) | |||||||
\(972\) | 3.28014 | + | 0.234204i | 0.105211 | + | 0.00751211i | ||||
\(973\) | 4.89784 | − | 27.7770i | 0.157018 | − | 0.890491i | ||||
\(974\) | −4.54579 | − | 14.0255i | −0.145657 | − | 0.449406i | ||||
\(975\) | 3.47865 | + | 9.55751i | 0.111406 | + | 0.306085i | ||||
\(976\) | −1.28584 | − | 40.2021i | −0.0411589 | − | 1.28684i | ||||
\(977\) | −0.637676 | + | 0.368162i | −0.0204011 | + | 0.0117786i | −0.510166 | − | 0.860076i | \(-0.670416\pi\) |
0.489765 | + | 0.871855i | \(0.337083\pi\) | |||||||
\(978\) | −38.1521 | + | 60.9566i | −1.21997 | + | 1.94918i | ||||
\(979\) | −2.23220 | − | 1.87304i | −0.0713415 | − | 0.0598627i | ||||
\(980\) | −3.46034 | − | 3.35143i | −0.110537 | − | 0.107058i | ||||
\(981\) | 47.3730 | + | 27.3508i | 1.51250 | + | 0.873244i | ||||
\(982\) | −10.0562 | − | 18.9465i | −0.320906 | − | 0.604606i | ||||
\(983\) | −3.73409 | − | 21.1771i | −0.119099 | − | 0.675444i | −0.984639 | − | 0.174604i | \(-0.944136\pi\) |
0.865540 | − | 0.500840i | \(-0.166976\pi\) | |||||||
\(984\) | 41.8688 | − | 10.3413i | 1.33473 | − | 0.329668i | ||||
\(985\) | 19.1510 | + | 6.97040i | 0.610202 | + | 0.222095i | ||||
\(986\) | 13.0834 | + | 11.7977i | 0.416659 | + | 0.375715i | ||||
\(987\) | −32.1001 | −1.02176 | ||||||||
\(988\) | −3.86037 | − | 6.14139i | −0.122815 | − | 0.195384i | ||||
\(989\) | 7.40050 | 0.235322 | ||||||||
\(990\) | −23.1125 | − | 20.8413i | −0.734563 | − | 0.662379i | ||||
\(991\) | 37.2349 | + | 13.5524i | 1.18281 | + | 0.430506i | 0.857192 | − | 0.514996i | \(-0.172207\pi\) |
0.325614 | + | 0.945503i | \(0.394429\pi\) | |||||||
\(992\) | −3.14949 | − | 5.50155i | −0.0999963 | − | 0.174675i | ||||
\(993\) | 10.4790 | + | 59.4293i | 0.332541 | + | 1.88593i | ||||
\(994\) | 19.5828 | + | 36.8951i | 0.621129 | + | 1.17024i | ||||
\(995\) | −21.0919 | − | 12.1774i | −0.668657 | − | 0.386049i | ||||
\(996\) | 51.3468 | − | 53.0153i | 1.62699 | − | 1.67986i | ||||
\(997\) | −45.3533 | − | 38.0559i | −1.43635 | − | 1.20524i | −0.941835 | − | 0.336076i | \(-0.890900\pi\) |
−0.494518 | − | 0.869167i | \(-0.664656\pi\) | |||||||
\(998\) | 6.44934 | − | 10.3043i | 0.204150 | − | 0.326176i | ||||
\(999\) | 83.1591 | − | 48.0119i | 2.63104 | − | 1.51903i |
(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 | 76.2.k.a.51.7 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.127.2 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.51.3 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.127.6 | 48 | |||
19.3 | odd | 18 | inner | 76.2.k.a.3.3 | ✓ | 48 | |
57.41 | even | 18 | 684.2.cf.a.307.6 | 48 | |||
76.3 | even | 18 | inner | 76.2.k.a.3.7 | yes | 48 | |
228.155 | odd | 18 | 684.2.cf.a.307.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.3.3 | ✓ | 48 | 19.3 | odd | 18 | inner | |
76.2.k.a.3.7 | yes | 48 | 76.3 | even | 18 | inner | |
76.2.k.a.51.3 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.51.7 | yes | 48 | 1.1 | even | 1 | trivial | |
684.2.cf.a.127.2 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.127.6 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.307.2 | 48 | 228.155 | odd | 18 | |||
684.2.cf.a.307.6 | 48 | 57.41 | even | 18 |