Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [349,2,Mod(122,349)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(349, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("349.122");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 349.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.78677903054\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 122.4 | ||
Character | \(\chi\) | \(=\) | 349.122 |
Dual form | 349.2.c.a.226.4 |
$q$-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 \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19066 | + | 2.06228i | −0.841923 | + | 1.45825i | 0.0463437 | + | 0.998926i | \(0.485243\pi\) |
−0.888267 | + | 0.459328i | \(0.848090\pi\) | |||||||
\(3\) | 0.388808 | + | 0.673436i | 0.224479 | + | 0.388808i | 0.956163 | − | 0.292835i | \(-0.0945988\pi\) |
−0.731684 | + | 0.681644i | \(0.761265\pi\) | |||||||
\(4\) | −1.83534 | − | 3.17890i | −0.917669 | − | 1.58945i | ||||
\(5\) | −0.996293 | − | 1.72563i | −0.445556 | − | 0.771725i | 0.552535 | − | 0.833490i | \(-0.313661\pi\) |
−0.998091 | + | 0.0617645i | \(0.980327\pi\) | |||||||
\(6\) | −1.85175 | −0.755975 | ||||||||
\(7\) | 0.620144 | − | 1.07412i | 0.234392 | − | 0.405979i | −0.724704 | − | 0.689061i | \(-0.758023\pi\) |
0.959096 | + | 0.283081i | \(0.0913566\pi\) | |||||||
\(8\) | 3.97841 | 1.40658 | ||||||||
\(9\) | 1.19766 | − | 2.07440i | 0.399219 | − | 0.691467i | ||||
\(10\) | 4.74498 | 1.50049 | ||||||||
\(11\) | 4.95989 | 1.49546 | 0.747732 | − | 0.664001i | \(-0.231143\pi\) | ||||
0.747732 | + | 0.664001i | \(0.231143\pi\) | |||||||
\(12\) | 1.42719 | − | 2.47196i | 0.411994 | − | 0.713594i | ||||
\(13\) | −2.77192 | + | 4.80111i | −0.768794 | + | 1.33159i | 0.169424 | + | 0.985543i | \(0.445809\pi\) |
−0.938217 | + | 0.346046i | \(0.887524\pi\) | |||||||
\(14\) | 1.47676 | + | 2.55782i | 0.394681 | + | 0.683607i | ||||
\(15\) | 0.774734 | − | 1.34188i | 0.200035 | − | 0.346471i | ||||
\(16\) | −1.06625 | + | 1.84681i | −0.266564 | + | 0.461702i | ||||
\(17\) | 0.515940 | 0.125134 | 0.0625669 | − | 0.998041i | \(-0.480071\pi\) | ||||
0.0625669 | + | 0.998041i | \(0.480071\pi\) | |||||||
\(18\) | 2.85200 | + | 4.93981i | 0.672223 | + | 1.16432i | ||||
\(19\) | 3.21239 | + | 5.56402i | 0.736972 | + | 1.27647i | 0.953853 | + | 0.300275i | \(0.0970783\pi\) |
−0.216881 | + | 0.976198i | \(0.569588\pi\) | |||||||
\(20\) | −3.65707 | + | 6.33423i | −0.817745 | + | 1.41638i | ||||
\(21\) | 0.964468 | 0.210464 | ||||||||
\(22\) | −5.90554 | + | 10.2287i | −1.25906 | + | 2.18076i | ||||
\(23\) | 4.00386 | − | 6.93489i | 0.834863 | − | 1.44603i | −0.0592786 | − | 0.998241i | \(-0.518880\pi\) |
0.894142 | − | 0.447784i | \(-0.147787\pi\) | |||||||
\(24\) | 1.54684 | + | 2.67920i | 0.315747 | + | 0.546890i | ||||
\(25\) | 0.514800 | − | 0.891661i | 0.102960 | − | 0.178332i | ||||
\(26\) | −6.60083 | − | 11.4330i | −1.29453 | − | 2.24219i | ||||
\(27\) | 4.19548 | 0.807421 | ||||||||
\(28\) | −4.55269 | −0.860378 | ||||||||
\(29\) | −3.11668 | − | 5.39826i | −0.578754 | − | 1.00243i | −0.995623 | − | 0.0934643i | \(-0.970206\pi\) |
0.416869 | − | 0.908967i | \(-0.363127\pi\) | |||||||
\(30\) | 1.84489 | + | 3.19544i | 0.336829 | + | 0.583405i | ||||
\(31\) | 4.56346 | 0.819622 | 0.409811 | − | 0.912170i | \(-0.365595\pi\) | ||||
0.409811 | + | 0.912170i | \(0.365595\pi\) | |||||||
\(32\) | 1.43932 | + | 2.49297i | 0.254438 | + | 0.440700i | ||||
\(33\) | 1.92845 | + | 3.34017i | 0.335699 | + | 0.581448i | ||||
\(34\) | −0.614309 | + | 1.06401i | −0.105353 | + | 0.182477i | ||||
\(35\) | −2.47138 | −0.417739 | ||||||||
\(36\) | −8.79242 | −1.46540 | ||||||||
\(37\) | −7.62211 | −1.25307 | −0.626534 | − | 0.779394i | \(-0.715527\pi\) | ||||
−0.626534 | + | 0.779394i | \(0.715527\pi\) | |||||||
\(38\) | −15.2994 | −2.48189 | ||||||||
\(39\) | −4.31099 | −0.690311 | ||||||||
\(40\) | −3.96366 | − | 6.86526i | −0.626710 | − | 1.08549i | ||||
\(41\) | 10.7818 | 1.68383 | 0.841917 | − | 0.539607i | \(-0.181427\pi\) | ||||
0.841917 | + | 0.539607i | \(0.181427\pi\) | |||||||
\(42\) | −1.14835 | + | 1.98901i | −0.177195 | + | 0.306910i | ||||
\(43\) | 0.0154122 | + | 0.0266947i | 0.00235034 | + | 0.00407090i | 0.867198 | − | 0.497963i | \(-0.165919\pi\) |
−0.864848 | + | 0.502034i | \(0.832585\pi\) | |||||||
\(44\) | −9.10307 | − | 15.7670i | −1.37234 | − | 2.37696i | ||||
\(45\) | −4.77287 | −0.711497 | ||||||||
\(46\) | 9.53447 | + | 16.5142i | 1.40578 | + | 2.43488i | ||||
\(47\) | −11.2307 | −1.63817 | −0.819083 | − | 0.573675i | \(-0.805517\pi\) | ||||
−0.819083 | + | 0.573675i | \(0.805517\pi\) | |||||||
\(48\) | −1.65827 | −0.239351 | ||||||||
\(49\) | 2.73084 | + | 4.72996i | 0.390120 | + | 0.675708i | ||||
\(50\) | 1.22590 | + | 2.12333i | 0.173369 | + | 0.300284i | ||||
\(51\) | 0.200602 | + | 0.347452i | 0.0280899 | + | 0.0486531i | ||||
\(52\) | 20.3497 | 2.82199 | ||||||||
\(53\) | 8.52029 | 1.17035 | 0.585176 | − | 0.810906i | \(-0.301025\pi\) | ||||
0.585176 | + | 0.810906i | \(0.301025\pi\) | |||||||
\(54\) | −4.99539 | + | 8.65227i | −0.679787 | + | 1.17742i | ||||
\(55\) | −4.94150 | − | 8.55894i | −0.666312 | − | 1.15409i | ||||
\(56\) | 2.46719 | − | 4.27329i | 0.329692 | − | 0.571043i | ||||
\(57\) | −2.49800 | + | 4.32667i | −0.330869 | + | 0.573081i | ||||
\(58\) | 14.8436 | 1.94906 | ||||||||
\(59\) | −0.178598 | − | 0.309341i | −0.0232515 | − | 0.0402727i | 0.854166 | − | 0.520001i | \(-0.174069\pi\) |
−0.877417 | + | 0.479728i | \(0.840735\pi\) | |||||||
\(60\) | −5.68759 | −0.734265 | ||||||||
\(61\) | 0.800087 | 0.102441 | 0.0512203 | − | 0.998687i | \(-0.483689\pi\) | ||||
0.0512203 | + | 0.998687i | \(0.483689\pi\) | |||||||
\(62\) | −5.43353 | + | 9.41115i | −0.690059 | + | 1.19522i | ||||
\(63\) | −1.48544 | − | 2.57286i | −0.187148 | − | 0.324149i | ||||
\(64\) | −11.1200 | −1.39000 | ||||||||
\(65\) | 11.0466 | 1.37016 | ||||||||
\(66\) | −9.18449 | −1.13053 | ||||||||
\(67\) | −12.4746 | −1.52401 | −0.762006 | − | 0.647570i | \(-0.775785\pi\) | ||||
−0.762006 | + | 0.647570i | \(0.775785\pi\) | |||||||
\(68\) | −0.946924 | − | 1.64012i | −0.114831 | − | 0.198894i | ||||
\(69\) | 6.22694 | 0.749635 | ||||||||
\(70\) | 2.94257 | − | 5.09668i | 0.351704 | − | 0.609170i | ||||
\(71\) | 1.34055 | − | 2.32190i | 0.159094 | − | 0.275559i | −0.775448 | − | 0.631411i | \(-0.782476\pi\) |
0.934542 | + | 0.355852i | \(0.115809\pi\) | |||||||
\(72\) | 4.76477 | − | 8.25282i | 0.561533 | − | 0.972604i | ||||
\(73\) | −0.0413693 | − | 0.0716538i | −0.00484191 | − | 0.00838644i | 0.863594 | − | 0.504187i | \(-0.168208\pi\) |
−0.868436 | + | 0.495801i | \(0.834875\pi\) | |||||||
\(74\) | 9.07533 | − | 15.7189i | 1.05499 | − | 1.82729i | ||||
\(75\) | 0.800635 | 0.0924493 | ||||||||
\(76\) | 11.7916 | − | 20.4237i | 1.35259 | − | 2.34276i | ||||
\(77\) | 3.07585 | − | 5.32752i | 0.350525 | − | 0.607127i | ||||
\(78\) | 5.13292 | − | 8.89047i | 0.581188 | − | 1.00665i | ||||
\(79\) | 15.4559 | 1.73892 | 0.869460 | − | 0.494003i | \(-0.164467\pi\) | ||||
0.869460 | + | 0.494003i | \(0.164467\pi\) | |||||||
\(80\) | 4.24921 | 0.475076 | ||||||||
\(81\) | −1.96173 | − | 3.39782i | −0.217970 | − | 0.377535i | ||||
\(82\) | −12.8374 | + | 22.2351i | −1.41766 | + | 2.45546i | ||||
\(83\) | 0.478106 | − | 0.828105i | 0.0524790 | − | 0.0908963i | −0.838593 | − | 0.544759i | \(-0.816621\pi\) |
0.891072 | + | 0.453863i | \(0.149954\pi\) | |||||||
\(84\) | −1.77012 | − | 3.06595i | −0.193136 | − | 0.334522i | ||||
\(85\) | −0.514027 | − | 0.890321i | −0.0557541 | − | 0.0965689i | ||||
\(86\) | −0.0734026 | −0.00791521 | ||||||||
\(87\) | 2.42358 | − | 4.19777i | 0.259836 | − | 0.450048i | ||||
\(88\) | 19.7325 | 2.10349 | ||||||||
\(89\) | 0.150073 | + | 0.259935i | 0.0159077 | + | 0.0275530i | 0.873870 | − | 0.486160i | \(-0.161603\pi\) |
−0.857962 | + | 0.513713i | \(0.828270\pi\) | |||||||
\(90\) | 5.68286 | − | 9.84300i | 0.599026 | − | 1.03754i | ||||
\(91\) | 3.43798 | + | 5.95476i | 0.360399 | + | 0.624229i | ||||
\(92\) | −29.3938 | −3.06451 | ||||||||
\(93\) | 1.77431 | + | 3.07320i | 0.183988 | + | 0.318676i | ||||
\(94\) | 13.3719 | − | 23.1609i | 1.37921 | − | 2.38886i | ||||
\(95\) | 6.40095 | − | 11.0868i | 0.656724 | − | 1.13748i | ||||
\(96\) | −1.11924 | + | 1.93858i | −0.114232 | + | 0.197855i | ||||
\(97\) | −1.88342 | + | 3.26218i | −0.191232 | + | 0.331224i | −0.945659 | − | 0.325160i | \(-0.894582\pi\) |
0.754427 | + | 0.656385i | \(0.227915\pi\) | |||||||
\(98\) | −13.0060 | −1.31381 | ||||||||
\(99\) | 5.94024 | − | 10.2888i | 0.597017 | − | 1.03406i | ||||
\(100\) | −3.77933 | −0.377933 | ||||||||
\(101\) | −17.0725 | −1.69878 | −0.849388 | − | 0.527768i | \(-0.823029\pi\) | ||||
−0.849388 | + | 0.527768i | \(0.823029\pi\) | |||||||
\(102\) | −0.955393 | −0.0945980 | ||||||||
\(103\) | 9.35397 | 0.921674 | 0.460837 | − | 0.887485i | \(-0.347549\pi\) | ||||
0.460837 | + | 0.887485i | \(0.347549\pi\) | |||||||
\(104\) | −11.0279 | + | 19.1008i | −1.08137 | + | 1.87299i | ||||
\(105\) | −0.960893 | − | 1.66432i | −0.0937735 | − | 0.162421i | ||||
\(106\) | −10.1448 | + | 17.5712i | −0.985346 | + | 1.70667i | ||||
\(107\) | −0.791686 | + | 1.37124i | −0.0765352 | + | 0.132563i | −0.901753 | − | 0.432252i | \(-0.857719\pi\) |
0.825218 | + | 0.564815i | \(0.191052\pi\) | |||||||
\(108\) | −7.70013 | − | 13.3370i | −0.740945 | − | 1.28335i | ||||
\(109\) | 4.39408 | + | 7.61077i | 0.420876 | + | 0.728979i | 0.996025 | − | 0.0890694i | \(-0.0283893\pi\) |
−0.575149 | + | 0.818049i | \(0.695056\pi\) | |||||||
\(110\) | 23.5346 | 2.24393 | ||||||||
\(111\) | −2.96354 | − | 5.13300i | −0.281287 | − | 0.487203i | ||||
\(112\) | 1.32246 | + | 2.29057i | 0.124961 | + | 0.216439i | ||||
\(113\) | 3.85166 | − | 6.67127i | 0.362334 | − | 0.627580i | −0.626011 | − | 0.779814i | \(-0.715313\pi\) |
0.988344 | + | 0.152234i | \(0.0486467\pi\) | |||||||
\(114\) | −5.94854 | − | 10.3032i | −0.557132 | − | 0.964981i | ||||
\(115\) | −15.9561 | −1.48791 | ||||||||
\(116\) | −11.4403 | + | 19.8152i | −1.06221 | + | 1.83980i | ||||
\(117\) | 6.63963 | + | 11.5002i | 0.613834 | + | 1.06319i | ||||
\(118\) | 0.850597 | 0.0783038 | ||||||||
\(119\) | 0.319957 | − | 0.554182i | 0.0293304 | − | 0.0508018i | ||||
\(120\) | 3.08221 | − | 5.33854i | 0.281366 | − | 0.487340i | ||||
\(121\) | 13.6005 | 1.23641 | ||||||||
\(122\) | −0.952631 | + | 1.65000i | −0.0862471 | + | 0.149384i | ||||
\(123\) | 4.19205 | + | 7.26085i | 0.377985 | + | 0.654689i | ||||
\(124\) | −8.37550 | − | 14.5068i | −0.752142 | − | 1.30275i | ||||
\(125\) | −12.0145 | −1.07461 | ||||||||
\(126\) | 7.07460 | 0.630256 | ||||||||
\(127\) | −20.2213 | −1.79435 | −0.897175 | − | 0.441675i | \(-0.854384\pi\) | ||||
−0.897175 | + | 0.441675i | \(0.854384\pi\) | |||||||
\(128\) | 10.3615 | − | 17.9466i | 0.915832 | − | 1.58627i | ||||
\(129\) | −0.0119848 | + | 0.0207582i | −0.00105520 | + | 0.00182766i | ||||
\(130\) | −13.1527 | + | 22.7812i | −1.15357 | + | 1.99804i | ||||
\(131\) | −6.52778 | −0.570334 | −0.285167 | − | 0.958478i | \(-0.592049\pi\) | ||||
−0.285167 | + | 0.958478i | \(0.592049\pi\) | |||||||
\(132\) | 7.07870 | − | 12.2607i | 0.616122 | − | 1.06715i | ||||
\(133\) | 7.96856 | 0.690962 | ||||||||
\(134\) | 14.8530 | − | 25.7261i | 1.28310 | − | 2.22240i | ||||
\(135\) | −4.17993 | − | 7.23985i | −0.359751 | − | 0.623107i | ||||
\(136\) | 2.05262 | 0.176011 | ||||||||
\(137\) | 3.47044 | + | 6.01098i | 0.296500 | + | 0.513553i | 0.975333 | − | 0.220740i | \(-0.0708473\pi\) |
−0.678833 | + | 0.734293i | \(0.737514\pi\) | |||||||
\(138\) | −7.41416 | + | 12.8417i | −0.631135 | + | 1.09316i | ||||
\(139\) | −17.8196 | −1.51144 | −0.755718 | − | 0.654897i | \(-0.772712\pi\) | ||||
−0.755718 | + | 0.654897i | \(0.772712\pi\) | |||||||
\(140\) | 4.53582 | + | 7.85627i | 0.383347 | + | 0.663976i | ||||
\(141\) | −4.36659 | − | 7.56315i | −0.367733 | − | 0.636932i | ||||
\(142\) | 3.19228 | + | 5.52918i | 0.267890 | + | 0.463999i | ||||
\(143\) | −13.7484 | + | 23.8130i | −1.14970 | + | 1.99134i | ||||
\(144\) | 2.55401 | + | 4.42368i | 0.212834 | + | 0.368640i | ||||
\(145\) | −6.21026 | + | 10.7565i | −0.515734 | + | 0.893278i | ||||
\(146\) | 0.197027 | 0.0163061 | ||||||||
\(147\) | −2.12355 | + | 3.67809i | −0.175147 | + | 0.303364i | ||||
\(148\) | 13.9891 | + | 24.2299i | 1.14990 | + | 1.99169i | ||||
\(149\) | 1.66157 | − | 2.87792i | 0.136121 | − | 0.235768i | −0.789904 | − | 0.613230i | \(-0.789870\pi\) |
0.926025 | + | 0.377462i | \(0.123203\pi\) | |||||||
\(150\) | −0.953283 | + | 1.65113i | −0.0778352 | + | 0.134815i | ||||
\(151\) | −0.338442 | − | 0.586199i | −0.0275420 | − | 0.0477042i | 0.851926 | − | 0.523662i | \(-0.175435\pi\) |
−0.879468 | + | 0.475958i | \(0.842101\pi\) | |||||||
\(152\) | 12.7802 | + | 22.1359i | 1.03661 | + | 1.79546i | ||||
\(153\) | 0.617919 | − | 1.07027i | 0.0499558 | − | 0.0865259i | ||||
\(154\) | 7.32457 | + | 12.6865i | 0.590230 | + | 1.02231i | ||||
\(155\) | −4.54655 | − | 7.87485i | −0.365188 | − | 0.632523i | ||||
\(156\) | 7.91212 | + | 13.7042i | 0.633477 | + | 1.09721i | ||||
\(157\) | −1.65413 | − | 2.86503i | −0.132014 | − | 0.228654i | 0.792439 | − | 0.609951i | \(-0.208811\pi\) |
−0.924453 | + | 0.381297i | \(0.875478\pi\) | |||||||
\(158\) | −18.4027 | + | 31.8744i | −1.46404 | + | 2.53579i | ||||
\(159\) | 3.31276 | + | 5.73787i | 0.262719 | + | 0.455042i | ||||
\(160\) | 2.86797 | − | 4.96746i | 0.226733 | − | 0.392713i | ||||
\(161\) | −4.96594 | − | 8.60126i | −0.391371 | − | 0.677875i | ||||
\(162\) | 9.34301 | 0.734056 | ||||||||
\(163\) | 3.68949 | 0.288983 | 0.144492 | − | 0.989506i | \(-0.453845\pi\) | ||||
0.144492 | + | 0.989506i | \(0.453845\pi\) | |||||||
\(164\) | −19.7882 | − | 34.2742i | −1.54520 | − | 2.67637i | ||||
\(165\) | 3.84259 | − | 6.65557i | 0.299146 | − | 0.518135i | ||||
\(166\) | 1.13852 | + | 1.97198i | 0.0883666 | + | 0.153055i | ||||
\(167\) | 1.83031 | 0.141634 | 0.0708168 | − | 0.997489i | \(-0.477439\pi\) | ||||
0.0708168 | + | 0.997489i | \(0.477439\pi\) | |||||||
\(168\) | 3.83705 | 0.296035 | ||||||||
\(169\) | −8.86713 | − | 15.3583i | −0.682087 | − | 1.18141i | ||||
\(170\) | 2.44813 | 0.187763 | ||||||||
\(171\) | 15.3893 | 1.17685 | ||||||||
\(172\) | 0.0565731 | − | 0.0979876i | 0.00431366 | − | 0.00747148i | ||||
\(173\) | −4.43051 | + | 7.67386i | −0.336845 | + | 0.583433i | −0.983838 | − | 0.179063i | \(-0.942693\pi\) |
0.646992 | + | 0.762497i | \(0.276027\pi\) | |||||||
\(174\) | 5.77133 | + | 9.99623i | 0.437523 | + | 0.757812i | ||||
\(175\) | −0.638501 | − | 1.10592i | −0.0482661 | − | 0.0835994i | ||||
\(176\) | −5.28851 | + | 9.15996i | −0.398636 | + | 0.690458i | ||||
\(177\) | 0.138881 | − | 0.240548i | 0.0104389 | − | 0.0180807i | ||||
\(178\) | −0.714744 | −0.0535724 | ||||||||
\(179\) | −18.4981 | −1.38261 | −0.691305 | − | 0.722563i | \(-0.742964\pi\) | ||||
−0.691305 | + | 0.722563i | \(0.742964\pi\) | |||||||
\(180\) | 8.75982 | + | 15.1725i | 0.652919 | + | 1.13089i | ||||
\(181\) | 9.32504 | 0.693125 | 0.346562 | − | 0.938027i | \(-0.387349\pi\) | ||||
0.346562 | + | 0.938027i | \(0.387349\pi\) | |||||||
\(182\) | −16.3739 | −1.21371 | ||||||||
\(183\) | 0.311080 | + | 0.538807i | 0.0229957 | + | 0.0398298i | ||||
\(184\) | 15.9290 | − | 27.5899i | 1.17430 | − | 2.03395i | ||||
\(185\) | 7.59385 | + | 13.1529i | 0.558311 | + | 0.967023i | ||||
\(186\) | −8.45040 | −0.619614 | ||||||||
\(187\) | 2.55901 | 0.187133 | ||||||||
\(188\) | 20.6121 | + | 35.7013i | 1.50329 | + | 2.60378i | ||||
\(189\) | 2.60180 | − | 4.50646i | 0.189253 | − | 0.327796i | ||||
\(190\) | 15.2427 | + | 26.4011i | 1.10582 | + | 1.91534i | ||||
\(191\) | 2.44681 | − | 4.23799i | 0.177045 | − | 0.306650i | −0.763822 | − | 0.645427i | \(-0.776680\pi\) |
0.940867 | + | 0.338776i | \(0.110013\pi\) | |||||||
\(192\) | −4.32354 | − | 7.48858i | −0.312024 | − | 0.540442i | ||||
\(193\) | −3.05688 | − | 5.29468i | −0.220039 | − | 0.381119i | 0.734780 | − | 0.678305i | \(-0.237285\pi\) |
−0.954820 | + | 0.297186i | \(0.903952\pi\) | |||||||
\(194\) | −4.48502 | − | 7.76829i | −0.322006 | − | 0.557731i | ||||
\(195\) | 4.29501 | + | 7.43917i | 0.307572 | + | 0.532730i | ||||
\(196\) | 10.0240 | − | 17.3621i | 0.716003 | − | 1.24015i | ||||
\(197\) | 10.8904 | + | 18.8628i | 0.775911 | + | 1.34392i | 0.934281 | + | 0.356537i | \(0.116043\pi\) |
−0.158370 | + | 0.987380i | \(0.550624\pi\) | |||||||
\(198\) | 14.1456 | + | 24.5009i | 1.00528 | + | 1.74120i | ||||
\(199\) | −8.19403 | + | 14.1925i | −0.580859 | + | 1.00608i | 0.414519 | + | 0.910041i | \(0.363950\pi\) |
−0.995378 | + | 0.0960367i | \(0.969383\pi\) | |||||||
\(200\) | 2.04809 | − | 3.54739i | 0.144822 | − | 0.250838i | ||||
\(201\) | −4.85022 | − | 8.40082i | −0.342108 | − | 0.592548i | ||||
\(202\) | 20.3275 | − | 35.2083i | 1.43024 | − | 2.47725i | ||||
\(203\) | −7.73117 | −0.542622 | ||||||||
\(204\) | 0.736344 | − | 1.27538i | 0.0515544 | − | 0.0892948i | ||||
\(205\) | −10.7418 | − | 18.6054i | −0.750242 | − | 1.29946i | ||||
\(206\) | −11.1374 | + | 19.2905i | −0.775978 | + | 1.34403i | ||||
\(207\) | −9.59050 | − | 16.6112i | −0.666586 | − | 1.15456i | ||||
\(208\) | −5.91115 | − | 10.2384i | −0.409865 | − | 0.709907i | ||||
\(209\) | 15.9331 | + | 27.5969i | 1.10211 | + | 1.90892i | ||||
\(210\) | 4.57638 | 0.315800 | ||||||||
\(211\) | −6.96145 | + | 12.0576i | −0.479246 | + | 0.830079i | −0.999717 | − | 0.0238010i | \(-0.992423\pi\) |
0.520471 | + | 0.853880i | \(0.325757\pi\) | |||||||
\(212\) | −15.6376 | − | 27.0851i | −1.07400 | − | 1.86022i | ||||
\(213\) | 2.08487 | 0.142853 | ||||||||
\(214\) | −1.88526 | − | 3.26536i | −0.128873 | − | 0.223215i | ||||
\(215\) | 0.0307101 | − | 0.0531915i | 0.00209441 | − | 0.00362763i | ||||
\(216\) | 16.6914 | 1.13570 | ||||||||
\(217\) | 2.83000 | − | 4.90171i | 0.192113 | − | 0.332750i | ||||
\(218\) | −20.9274 | −1.41738 | ||||||||
\(219\) | 0.0321695 | − | 0.0557191i | 0.00217381 | − | 0.00376515i | ||||
\(220\) | −18.1387 | + | 31.4171i | −1.22291 | + | 2.11814i | ||||
\(221\) | −1.43015 | + | 2.47709i | −0.0962021 | + | 0.166627i | ||||
\(222\) | 14.1143 | 0.947287 | ||||||||
\(223\) | −17.2864 | −1.15758 | −0.578791 | − | 0.815476i | \(-0.696475\pi\) | ||||
−0.578791 | + | 0.815476i | \(0.696475\pi\) | |||||||
\(224\) | 3.57034 | 0.238553 | ||||||||
\(225\) | −1.23311 | − | 2.13581i | −0.0822072 | − | 0.142387i | ||||
\(226\) | 9.17203 | + | 15.8864i | 0.610114 | + | 1.05675i | ||||
\(227\) | 2.75056 | − | 4.76411i | 0.182561 | − | 0.316205i | −0.760191 | − | 0.649700i | \(-0.774895\pi\) |
0.942752 | + | 0.333495i | \(0.108228\pi\) | |||||||
\(228\) | 18.3387 | 1.21451 | ||||||||
\(229\) | 3.09389 | − | 5.35877i | 0.204450 | − | 0.354118i | −0.745507 | − | 0.666497i | \(-0.767793\pi\) |
0.949957 | + | 0.312380i | \(0.101126\pi\) | |||||||
\(230\) | 18.9983 | − | 32.9059i | 1.25271 | − | 2.16975i | ||||
\(231\) | 4.78366 | 0.314741 | ||||||||
\(232\) | −12.3994 | − | 21.4765i | −0.814064 | − | 1.41000i | ||||
\(233\) | −13.0198 | + | 22.5510i | −0.852958 | + | 1.47737i | 0.0255677 | + | 0.999673i | \(0.491861\pi\) |
−0.878526 | + | 0.477694i | \(0.841473\pi\) | |||||||
\(234\) | −31.6221 | −2.06720 | ||||||||
\(235\) | 11.1891 | + | 19.3800i | 0.729894 | + | 1.26421i | ||||
\(236\) | −0.655575 | + | 1.13549i | −0.0426743 | + | 0.0739141i | ||||
\(237\) | 6.00937 | + | 10.4085i | 0.390350 | + | 0.676107i | ||||
\(238\) | 0.761919 | + | 1.31968i | 0.0493879 | + | 0.0855423i | ||||
\(239\) | −1.06656 | −0.0689900 | −0.0344950 | − | 0.999405i | \(-0.510982\pi\) | ||||
−0.0344950 | + | 0.999405i | \(0.510982\pi\) | |||||||
\(240\) | 1.65213 | + | 2.86157i | 0.106644 | + | 0.184713i | ||||
\(241\) | −0.878667 | − | 1.52190i | −0.0565999 | − | 0.0980339i | 0.836337 | − | 0.548215i | \(-0.184693\pi\) |
−0.892937 | + | 0.450182i | \(0.851359\pi\) | |||||||
\(242\) | −16.1936 | + | 28.0481i | −1.04096 | + | 1.80300i | ||||
\(243\) | 7.81870 | − | 13.5424i | 0.501570 | − | 0.868744i | ||||
\(244\) | −1.46843 | − | 2.54340i | −0.0940066 | − | 0.162824i | ||||
\(245\) | 5.44144 | − | 9.42485i | 0.347641 | − | 0.602132i | ||||
\(246\) | −19.9652 | −1.27294 | ||||||||
\(247\) | −35.6180 | −2.26632 | ||||||||
\(248\) | 18.1553 | 1.15286 | ||||||||
\(249\) | 0.743567 | 0.0471216 | ||||||||
\(250\) | 14.3052 | − | 24.7773i | 0.904738 | − | 1.56705i | ||||
\(251\) | 9.73640 | 0.614556 | 0.307278 | − | 0.951620i | \(-0.400582\pi\) | ||||
0.307278 | + | 0.951620i | \(0.400582\pi\) | |||||||
\(252\) | −5.45256 | + | 9.44412i | −0.343479 | + | 0.594923i | ||||
\(253\) | 19.8587 | − | 34.3963i | 1.24851 | − | 2.16248i | ||||
\(254\) | 24.0767 | − | 41.7020i | 1.51070 | − | 2.61662i | ||||
\(255\) | 0.399716 | − | 0.692329i | 0.0250312 | − | 0.0433553i | ||||
\(256\) | 13.5540 | + | 23.4761i | 0.847122 | + | 1.46726i | ||||
\(257\) | 6.47999 | 0.404211 | 0.202105 | − | 0.979364i | \(-0.435222\pi\) | ||||
0.202105 | + | 0.979364i | \(0.435222\pi\) | |||||||
\(258\) | −0.0285395 | − | 0.0494319i | −0.00177679 | − | 0.00307750i | ||||
\(259\) | −4.72680 | + | 8.18707i | −0.293709 | + | 0.508719i | ||||
\(260\) | −20.2742 | − | 35.1160i | −1.25735 | − | 2.17780i | ||||
\(261\) | −14.9309 | −0.924198 | ||||||||
\(262\) | 7.77235 | − | 13.4621i | 0.480178 | − | 0.831692i | ||||
\(263\) | −3.90988 | −0.241094 | −0.120547 | − | 0.992708i | \(-0.538465\pi\) | ||||
−0.120547 | + | 0.992708i | \(0.538465\pi\) | |||||||
\(264\) | 7.67215 | + | 13.2886i | 0.472188 | + | 0.817854i | ||||
\(265\) | −8.48871 | − | 14.7029i | −0.521457 | − | 0.903190i | ||||
\(266\) | −9.48784 | + | 16.4334i | −0.581737 | + | 1.00760i | ||||
\(267\) | −0.116699 | + | 0.202129i | −0.00714189 | + | 0.0123701i | ||||
\(268\) | 22.8951 | + | 39.6554i | 1.39854 | + | 2.42234i | ||||
\(269\) | −26.3433 | −1.60618 | −0.803090 | − | 0.595857i | \(-0.796812\pi\) | ||||
−0.803090 | + | 0.595857i | \(0.796812\pi\) | |||||||
\(270\) | 19.9075 | 1.21153 | ||||||||
\(271\) | −2.66764 | + | 4.62049i | −0.162048 | + | 0.280675i | −0.935603 | − | 0.353054i | \(-0.885143\pi\) |
0.773555 | + | 0.633729i | \(0.218477\pi\) | |||||||
\(272\) | −0.550123 | + | 0.952842i | −0.0333561 | + | 0.0577745i | ||||
\(273\) | −2.67343 | + | 4.63052i | −0.161804 | + | 0.280252i | ||||
\(274\) | −16.5284 | −0.998520 | ||||||||
\(275\) | 2.55335 | − | 4.42254i | 0.153973 | − | 0.266689i | ||||
\(276\) | −11.4285 | − | 19.7948i | −0.687917 | − | 1.19151i | ||||
\(277\) | 2.96863 | − | 5.14182i | 0.178368 | − | 0.308942i | −0.762954 | − | 0.646453i | \(-0.776252\pi\) |
0.941322 | + | 0.337511i | \(0.109585\pi\) | |||||||
\(278\) | 21.2170 | − | 36.7490i | 1.27251 | − | 2.20406i | ||||
\(279\) | 5.46546 | − | 9.46646i | 0.327209 | − | 0.566742i | ||||
\(280\) | −9.83216 | −0.587584 | ||||||||
\(281\) | −0.966924 | − | 1.67476i | −0.0576819 | − | 0.0999079i | 0.835743 | − | 0.549121i | \(-0.185038\pi\) |
−0.893424 | + | 0.449214i | \(0.851704\pi\) | |||||||
\(282\) | 20.7965 | 1.23841 | ||||||||
\(283\) | 17.1910 | 1.02190 | 0.510949 | − | 0.859611i | \(-0.329294\pi\) | ||||
0.510949 | + | 0.859611i | \(0.329294\pi\) | |||||||
\(284\) | −9.84145 | −0.583982 | ||||||||
\(285\) | 9.95497 | 0.589682 | ||||||||
\(286\) | −32.7394 | − | 56.7063i | −1.93592 | − | 3.35312i | ||||
\(287\) | 6.68627 | − | 11.5810i | 0.394678 | − | 0.683602i | ||||
\(288\) | 6.89524 | 0.406306 | ||||||||
\(289\) | −16.7338 | −0.984342 | ||||||||
\(290\) | −14.7886 | − | 25.6146i | −0.868417 | − | 1.50414i | ||||
\(291\) | −2.92916 | −0.171710 | ||||||||
\(292\) | −0.151853 | + | 0.263018i | −0.00888654 | + | 0.0153919i | ||||
\(293\) | 8.51477 | − | 14.7480i | 0.497438 | − | 0.861588i | −0.502558 | − | 0.864544i | \(-0.667608\pi\) |
0.999996 | + | 0.00295588i | \(0.000940886\pi\) | |||||||
\(294\) | −5.05684 | − | 8.75871i | −0.294921 | − | 0.510818i | ||||
\(295\) | −0.355872 | + | 0.616388i | −0.0207197 | + | 0.0358875i | ||||
\(296\) | −30.3239 | −1.76254 | ||||||||
\(297\) | 20.8091 | 1.20747 | ||||||||
\(298\) | 3.95672 | + | 6.85324i | 0.229207 | + | 0.396998i | ||||
\(299\) | 22.1968 | + | 38.4460i | 1.28367 | + | 2.22339i | ||||
\(300\) | −1.46943 | − | 2.54514i | −0.0848379 | − | 0.146943i | ||||
\(301\) | 0.0382311 | 0.00220360 | ||||||||
\(302\) | 1.61188 | 0.0927531 | ||||||||
\(303\) | −6.63793 | − | 11.4972i | −0.381339 | − | 0.660498i | ||||
\(304\) | −13.7009 | −0.785800 | ||||||||
\(305\) | −0.797121 | − | 1.38065i | −0.0456430 | − | 0.0790560i | ||||
\(306\) | 1.47146 | + | 2.54865i | 0.0841178 | + | 0.145696i | ||||
\(307\) | −10.9426 | + | 18.9532i | −0.624529 | + | 1.08172i | 0.364103 | + | 0.931359i | \(0.381376\pi\) |
−0.988632 | + | 0.150357i | \(0.951958\pi\) | |||||||
\(308\) | −22.5809 | −1.28666 | ||||||||
\(309\) | 3.63690 | + | 6.29929i | 0.206896 | + | 0.358354i | ||||
\(310\) | 21.6536 | 1.22984 | ||||||||
\(311\) | −4.96051 | −0.281285 | −0.140642 | − | 0.990060i | \(-0.544917\pi\) | ||||
−0.140642 | + | 0.990060i | \(0.544917\pi\) | |||||||
\(312\) | −17.1509 | −0.970977 | ||||||||
\(313\) | 27.7556 | 1.56884 | 0.784419 | − | 0.620231i | \(-0.212961\pi\) | ||||
0.784419 | + | 0.620231i | \(0.212961\pi\) | |||||||
\(314\) | 7.87800 | 0.444581 | ||||||||
\(315\) | −2.95986 | + | 5.12664i | −0.166769 | + | 0.288853i | ||||
\(316\) | −28.3667 | − | 49.1326i | −1.59575 | − | 2.76393i | ||||
\(317\) | 8.53420 | + | 14.7817i | 0.479328 | + | 0.830221i | 0.999719 | − | 0.0237075i | \(-0.00754703\pi\) |
−0.520391 | + | 0.853928i | \(0.674214\pi\) | |||||||
\(318\) | −15.7775 | −0.884756 | ||||||||
\(319\) | −15.4584 | − | 26.7748i | −0.865505 | − | 1.49910i | ||||
\(320\) | 11.0788 | + | 19.1890i | 0.619321 | + | 1.07270i | ||||
\(321\) | −1.23126 | −0.0687220 | ||||||||
\(322\) | 23.6510 | 1.31802 | ||||||||
\(323\) | 1.65740 | + | 2.87070i | 0.0922201 | + | 0.159730i | ||||
\(324\) | −7.20088 | + | 12.4723i | −0.400049 | + | 0.692905i | ||||
\(325\) | 2.85398 | + | 4.94323i | 0.158310 | + | 0.274201i | ||||
\(326\) | −4.39292 | + | 7.60877i | −0.243302 | + | 0.421411i | ||||
\(327\) | −3.41691 | + | 5.91826i | −0.188955 | + | 0.327280i | ||||
\(328\) | 42.8944 | 2.36845 | ||||||||
\(329\) | −6.96465 | + | 12.0631i | −0.383974 | + | 0.665062i | ||||
\(330\) | 9.15044 | + | 15.8490i | 0.503715 | + | 0.872460i | ||||
\(331\) | 2.71577 | + | 4.70385i | 0.149272 | + | 0.258547i | 0.930959 | − | 0.365125i | \(-0.118974\pi\) |
−0.781687 | + | 0.623671i | \(0.785640\pi\) | |||||||
\(332\) | −3.50995 | −0.192633 | ||||||||
\(333\) | −9.12867 | + | 15.8113i | −0.500248 | + | 0.866455i | ||||
\(334\) | −2.17927 | + | 3.77461i | −0.119245 | + | 0.206538i | ||||
\(335\) | 12.4283 | + | 21.5265i | 0.679032 | + | 1.17612i | ||||
\(336\) | −1.02837 | + | 1.78119i | −0.0561021 | + | 0.0971717i | ||||
\(337\) | 6.33596 | − | 10.9742i | 0.345142 | − | 0.597803i | −0.640238 | − | 0.768177i | \(-0.721164\pi\) |
0.985380 | + | 0.170374i | \(0.0544975\pi\) | |||||||
\(338\) | 42.2309 | 2.29706 | ||||||||
\(339\) | 5.99023 | 0.325345 | ||||||||
\(340\) | −1.88683 | + | 3.26808i | −0.102328 | + | 0.177237i | ||||
\(341\) | 22.6343 | 1.22572 | ||||||||
\(342\) | −18.3235 | + | 31.7372i | −0.990819 | + | 1.71615i | ||||
\(343\) | 15.4561 | 0.834550 | ||||||||
\(344\) | 0.0613160 | + | 0.106202i | 0.00330594 | + | 0.00572605i | ||||
\(345\) | −6.20386 | − | 10.7454i | −0.334004 | − | 0.578513i | ||||
\(346\) | −10.5504 | − | 18.2739i | −0.567196 | − | 0.982412i | ||||
\(347\) | 11.0843 | − | 19.1985i | 0.595035 | − | 1.03063i | −0.398507 | − | 0.917165i | \(-0.630471\pi\) |
0.993542 | − | 0.113466i | \(-0.0361952\pi\) | |||||||
\(348\) | −17.7924 | −0.953772 | ||||||||
\(349\) | −5.79143 | + | 17.7612i | −0.310008 | + | 0.950734i | ||||
\(350\) | 3.04095 | 0.162545 | ||||||||
\(351\) | −11.6296 | + | 20.1430i | −0.620740 | + | 1.07515i | ||||
\(352\) | 7.13886 | + | 12.3649i | 0.380503 | + | 0.659050i | ||||
\(353\) | −3.14677 | − | 5.45036i | −0.167486 | − | 0.290094i | 0.770050 | − | 0.637984i | \(-0.220231\pi\) |
−0.937535 | + | 0.347890i | \(0.886898\pi\) | |||||||
\(354\) | 0.330719 | + | 0.572822i | 0.0175775 | + | 0.0304452i | ||||
\(355\) | −5.34232 | −0.283541 | ||||||||
\(356\) | 0.550870 | − | 0.954135i | 0.0291961 | − | 0.0505691i | ||||
\(357\) | 0.497608 | 0.0263362 | ||||||||
\(358\) | 22.0249 | − | 38.1482i | 1.16405 | − | 2.01620i | ||||
\(359\) | −6.09611 | −0.321740 | −0.160870 | − | 0.986976i | \(-0.551430\pi\) | ||||
−0.160870 | + | 0.986976i | \(0.551430\pi\) | |||||||
\(360\) | −18.9884 | −1.00078 | ||||||||
\(361\) | −11.1388 | + | 19.2930i | −0.586255 | + | 1.01542i | ||||
\(362\) | −11.1029 | + | 19.2309i | −0.583558 | + | 1.01075i | ||||
\(363\) | 5.28799 | + | 9.15907i | 0.277547 | + | 0.480726i | ||||
\(364\) | 12.6197 | − | 21.8580i | 0.661453 | − | 1.14567i | ||||
\(365\) | −0.0824319 | + | 0.142776i | −0.00431468 | + | 0.00747325i | ||||
\(366\) | −1.48156 | −0.0774425 | ||||||||
\(367\) | −17.6536 | − | 30.5769i | −0.921510 | − | 1.59610i | −0.797080 | − | 0.603874i | \(-0.793623\pi\) |
−0.124430 | − | 0.992228i | \(-0.539710\pi\) | |||||||
\(368\) | 8.53827 | + | 14.7887i | 0.445088 | + | 0.770916i | ||||
\(369\) | 12.9129 | − | 22.3658i | 0.672218 | − | 1.16432i | ||||
\(370\) | −36.1668 | −1.88022 | ||||||||
\(371\) | 5.28381 | − | 9.15182i | 0.274322 | − | 0.475139i | ||||
\(372\) | 6.51293 | − | 11.2807i | 0.337679 | − | 0.584878i | ||||
\(373\) | 10.6879 | + | 18.5120i | 0.553399 | + | 0.958515i | 0.998026 | + | 0.0627992i | \(0.0200028\pi\) |
−0.444627 | + | 0.895716i | \(0.646664\pi\) | |||||||
\(374\) | −3.04690 | + | 5.27739i | −0.157552 | + | 0.272887i | ||||
\(375\) | −4.67134 | − | 8.09099i | −0.241227 | − | 0.417817i | ||||
\(376\) | −44.6803 | −2.30421 | ||||||||
\(377\) | 34.5569 | 1.77977 | ||||||||
\(378\) | 6.19572 | + | 10.7313i | 0.318674 | + | 0.551959i | ||||
\(379\) | −4.41677 | − | 7.65007i | −0.226874 | − | 0.392958i | 0.730006 | − | 0.683441i | \(-0.239517\pi\) |
−0.956880 | + | 0.290483i | \(0.906184\pi\) | |||||||
\(380\) | −46.9917 | −2.41062 | ||||||||
\(381\) | −7.86221 | − | 13.6177i | −0.402793 | − | 0.697658i | ||||
\(382\) | 5.82662 | + | 10.0920i | 0.298116 | + | 0.516352i | ||||
\(383\) | 0.837659 | − | 1.45087i | 0.0428024 | − | 0.0741359i | −0.843831 | − | 0.536610i | \(-0.819705\pi\) |
0.886633 | + | 0.462474i | \(0.153038\pi\) | |||||||
\(384\) | 16.1145 | 0.822338 | ||||||||
\(385\) | −12.2578 | −0.624714 | ||||||||
\(386\) | 14.5588 | 0.741025 | ||||||||
\(387\) | 0.0738340 | 0.00375319 | ||||||||
\(388\) | 13.8269 | 0.701952 | ||||||||
\(389\) | 13.9206 | + | 24.1112i | 0.705802 | + | 1.22248i | 0.966401 | + | 0.257038i | \(0.0827465\pi\) |
−0.260599 | + | 0.965447i | \(0.583920\pi\) | |||||||
\(390\) | −20.4556 | −1.03581 | ||||||||
\(391\) | 2.06575 | − | 3.57799i | 0.104470 | − | 0.180947i | ||||
\(392\) | 10.8644 | + | 18.8177i | 0.548736 | + | 0.950438i | ||||
\(393\) | −2.53805 | − | 4.39604i | −0.128028 | − | 0.221751i | ||||
\(394\) | −51.8671 | −2.61303 | ||||||||
\(395\) | −15.3986 | − | 26.6711i | −0.774786 | − | 1.34197i | ||||
\(396\) | −43.6094 | −2.19146 | ||||||||
\(397\) | 18.5438 | 0.930686 | 0.465343 | − | 0.885130i | \(-0.345931\pi\) | ||||
0.465343 | + | 0.885130i | \(0.345931\pi\) | |||||||
\(398\) | −19.5126 | − | 33.7968i | −0.978077 | − | 1.69408i | ||||
\(399\) | 3.09824 | + | 5.36631i | 0.155106 | + | 0.268652i | ||||
\(400\) | 1.09782 | + | 1.90147i | 0.0548908 | + | 0.0950737i | ||||
\(401\) | 6.81277 | 0.340213 | 0.170107 | − | 0.985426i | \(-0.445589\pi\) | ||||
0.170107 | + | 0.985426i | \(0.445589\pi\) | |||||||
\(402\) | 23.0998 | 1.15211 | ||||||||
\(403\) | −12.6496 | + | 21.9097i | −0.630120 | + | 1.09140i | ||||
\(404\) | 31.3338 | + | 54.2717i | 1.55891 | + | 2.70012i | ||||
\(405\) | −3.90892 | + | 6.77044i | −0.194236 | + | 0.336426i | ||||
\(406\) | 9.20519 | − | 15.9439i | 0.456846 | − | 0.791280i | ||||
\(407\) | −37.8048 | −1.87392 | ||||||||
\(408\) | 0.798076 | + | 1.38231i | 0.0395106 | + | 0.0684344i | ||||
\(409\) | −17.1164 | −0.846353 | −0.423176 | − | 0.906047i | \(-0.639085\pi\) | ||||
−0.423176 | + | 0.906047i | \(0.639085\pi\) | |||||||
\(410\) | 51.1594 | 2.52658 | ||||||||
\(411\) | −2.69867 | + | 4.67424i | −0.133116 | + | 0.230563i | ||||
\(412\) | −17.1677 | − | 29.7353i | −0.845791 | − | 1.46495i | ||||
\(413\) | −0.443026 | −0.0217999 | ||||||||
\(414\) | 45.6761 | 2.24486 | ||||||||
\(415\) | −1.90534 | −0.0935293 | ||||||||
\(416\) | −15.9587 | −0.782441 | ||||||||
\(417\) | −6.92840 | − | 12.0003i | −0.339285 | − | 0.587659i | ||||
\(418\) | −75.8835 | −3.71158 | ||||||||
\(419\) | −2.58183 | + | 4.47186i | −0.126131 | + | 0.218464i | −0.922174 | − | 0.386775i | \(-0.873589\pi\) |
0.796044 | + | 0.605239i | \(0.206922\pi\) | |||||||
\(420\) | −3.52713 | + | 6.10916i | −0.172106 | + | 0.298097i | ||||
\(421\) | −14.0341 | + | 24.3078i | −0.683982 | + | 1.18469i | 0.289773 | + | 0.957095i | \(0.406420\pi\) |
−0.973756 | + | 0.227596i | \(0.926913\pi\) | |||||||
\(422\) | −16.5774 | − | 28.7130i | −0.806977 | − | 1.39772i | ||||
\(423\) | −13.4505 | + | 23.2970i | −0.653987 | + | 1.13274i | ||||
\(424\) | 33.8972 | 1.64619 | ||||||||
\(425\) | 0.265606 | − | 0.460043i | 0.0128838 | − | 0.0223154i | ||||
\(426\) | −2.48237 | + | 4.29958i | −0.120271 | + | 0.208316i | ||||
\(427\) | 0.496169 | − | 0.859390i | 0.0240113 | − | 0.0415888i | ||||
\(428\) | 5.81204 | 0.280936 | ||||||||
\(429\) | −21.3820 | −1.03233 | ||||||||
\(430\) | 0.0731305 | + | 0.126666i | 0.00352667 | + | 0.00610837i | ||||
\(431\) | −11.1208 | + | 19.2618i | −0.535671 | + | 0.927810i | 0.463459 | + | 0.886118i | \(0.346608\pi\) |
−0.999131 | + | 0.0416918i | \(0.986725\pi\) | |||||||
\(432\) | −4.47345 | + | 7.74825i | −0.215229 | + | 0.372788i | ||||
\(433\) | 10.1837 | + | 17.6388i | 0.489400 | + | 0.847665i | 0.999926 | − | 0.0121972i | \(-0.00388257\pi\) |
−0.510526 | + | 0.859862i | \(0.670549\pi\) | |||||||
\(434\) | 6.73914 | + | 11.6725i | 0.323489 | + | 0.560300i | ||||
\(435\) | −9.65840 | −0.463085 | ||||||||
\(436\) | 16.1292 | − | 27.9367i | 0.772450 | − | 1.33792i | ||||
\(437\) | 51.4478 | 2.46108 | ||||||||
\(438\) | 0.0766057 | + | 0.132685i | 0.00366036 | + | 0.00633993i | ||||
\(439\) | −5.65719 | + | 9.79855i | −0.270003 | + | 0.467659i | −0.968862 | − | 0.247600i | \(-0.920358\pi\) |
0.698859 | + | 0.715259i | \(0.253691\pi\) | |||||||
\(440\) | −19.6593 | − | 34.0510i | −0.937222 | − | 1.62332i | ||||
\(441\) | 13.0824 | 0.622974 | ||||||||
\(442\) | −3.40563 | − | 5.89873i | −0.161989 | − | 0.280574i | ||||
\(443\) | 7.13505 | − | 12.3583i | 0.338997 | − | 0.587159i | −0.645248 | − | 0.763973i | \(-0.723246\pi\) |
0.984244 | + | 0.176814i | \(0.0565792\pi\) | |||||||
\(444\) | −10.8782 | + | 18.8416i | −0.516256 | + | 0.894182i | ||||
\(445\) | 0.299034 | − | 0.517942i | 0.0141756 | − | 0.0245528i | ||||
\(446\) | 20.5822 | − | 35.6494i | 0.974595 | − | 1.68805i | ||||
\(447\) | 2.58412 | 0.122225 | ||||||||
\(448\) | −6.89598 | + | 11.9442i | −0.325805 | + | 0.564310i | ||||
\(449\) | −23.1615 | −1.09306 | −0.546529 | − | 0.837440i | \(-0.684051\pi\) | ||||
−0.546529 | + | 0.837440i | \(0.684051\pi\) | |||||||
\(450\) | 5.87285 | 0.276849 | ||||||||
\(451\) | 53.4765 | 2.51811 | ||||||||
\(452\) | −28.2764 | −1.33001 | ||||||||
\(453\) | 0.263178 | − | 0.455838i | 0.0123652 | − | 0.0214171i | ||||
\(454\) | 6.54996 | + | 11.3449i | 0.307405 | + | 0.532441i | ||||
\(455\) | 6.85048 | − | 11.8654i | 0.321155 | − | 0.556258i | ||||
\(456\) | −9.93808 | + | 17.2133i | −0.465393 | + | 0.806085i | ||||
\(457\) | 5.63897 | + | 9.76697i | 0.263780 | + | 0.456880i | 0.967243 | − | 0.253852i | \(-0.0816975\pi\) |
−0.703464 | + | 0.710731i | \(0.748364\pi\) | |||||||
\(458\) | 7.36754 | + | 12.7609i | 0.344262 | + | 0.596280i | ||||
\(459\) | 2.16462 | 0.101036 | ||||||||
\(460\) | 29.2848 | + | 50.7228i | 1.36541 | + | 2.36496i | ||||
\(461\) | 17.0727 | + | 29.5707i | 0.795153 | + | 1.37724i | 0.922742 | + | 0.385418i | \(0.125943\pi\) |
−0.127590 | + | 0.991827i | \(0.540724\pi\) | |||||||
\(462\) | −5.69570 | + | 9.86525i | −0.264988 | + | 0.458973i | ||||
\(463\) | 14.8033 | + | 25.6400i | 0.687966 | + | 1.19159i | 0.972495 | + | 0.232925i | \(0.0748296\pi\) |
−0.284528 | + | 0.958668i | \(0.591837\pi\) | |||||||
\(464\) | 13.2927 | 0.617099 | ||||||||
\(465\) | 3.53547 | − | 6.12361i | 0.163953 | − | 0.283976i | ||||
\(466\) | −31.0044 | − | 53.7012i | −1.43625 | − | 2.48766i | ||||
\(467\) | −1.00459 | −0.0464868 | −0.0232434 | − | 0.999730i | \(-0.507399\pi\) | ||||
−0.0232434 | + | 0.999730i | \(0.507399\pi\) | |||||||
\(468\) | 24.3719 | − | 42.2134i | 1.12659 | − | 1.95132i | ||||
\(469\) | −7.73603 | + | 13.3992i | −0.357217 | + | 0.618718i | ||||
\(470\) | −53.2895 | −2.45806 | ||||||||
\(471\) | 1.28628 | − | 2.22790i | 0.0592685 | − | 0.102656i | ||||
\(472\) | −0.710536 | − | 1.23068i | −0.0327051 | − | 0.0566468i | ||||
\(473\) | 0.0764428 | + | 0.132403i | 0.00351484 | + | 0.00608788i | ||||
\(474\) | −28.6204 | −1.31458 | ||||||||
\(475\) | 6.61495 | 0.303515 | ||||||||
\(476\) | −2.34892 | −0.107662 | ||||||||
\(477\) | 10.2044 | − | 17.6745i | 0.467227 | − | 0.809260i | ||||
\(478\) | 1.26991 | − | 2.19955i | 0.0580843 | − | 0.100605i | ||||
\(479\) | 6.68567 | − | 11.5799i | 0.305476 | − | 0.529100i | −0.671891 | − | 0.740650i | \(-0.734518\pi\) |
0.977367 | + | 0.211550i | \(0.0678511\pi\) | |||||||
\(480\) | 4.46036 | 0.203586 | ||||||||
\(481\) | 21.1279 | − | 36.5946i | 0.963350 | − | 1.66857i | ||||
\(482\) | 4.18477 | 0.190611 | ||||||||
\(483\) | 3.86160 | − | 6.68848i | 0.175709 | − | 0.304337i | ||||
\(484\) | −24.9615 | − | 43.2346i | −1.13461 | − | 1.96521i | ||||
\(485\) | 7.50576 | 0.340819 | ||||||||
\(486\) | 18.6188 | + | 32.2487i | 0.844566 | + | 1.46283i | ||||
\(487\) | −2.02508 | + | 3.50755i | −0.0917652 | + | 0.158942i | −0.908254 | − | 0.418419i | \(-0.862584\pi\) |
0.816489 | + | 0.577361i | \(0.195918\pi\) | |||||||
\(488\) | 3.18307 | 0.144091 | ||||||||
\(489\) | 1.43450 | + | 2.48463i | 0.0648705 | + | 0.112359i | ||||
\(490\) | 12.9578 | + | 22.4436i | 0.585374 | + | 1.01390i | ||||
\(491\) | −6.17030 | − | 10.6873i | −0.278462 | − | 0.482310i | 0.692541 | − | 0.721378i | \(-0.256491\pi\) |
−0.971003 | + | 0.239069i | \(0.923158\pi\) | |||||||
\(492\) | 15.3877 | − | 26.6522i | 0.693729 | − | 1.20157i | ||||
\(493\) | −1.60802 | − | 2.78518i | −0.0724217 | − | 0.125438i | ||||
\(494\) | 42.4089 | − | 73.4543i | 1.90806 | − | 3.30486i | ||||
\(495\) | −23.6729 | −1.06402 | ||||||||
\(496\) | −4.86581 | + | 8.42784i | −0.218482 | + | 0.378421i | ||||
\(497\) | −1.66267 | − | 2.87982i | −0.0745808 | − | 0.129178i | ||||
\(498\) | −0.885334 | + | 1.53344i | −0.0396728 | + | 0.0687153i | ||||
\(499\) | −3.44310 | + | 5.96362i | −0.154134 | + | 0.266968i | −0.932743 | − | 0.360541i | \(-0.882592\pi\) |
0.778609 | + | 0.627509i | \(0.215925\pi\) | |||||||
\(500\) | 22.0507 | + | 38.1929i | 0.986136 | + | 1.70804i | ||||
\(501\) | 0.711639 | + | 1.23260i | 0.0317937 | + | 0.0550683i | ||||
\(502\) | −11.5927 | + | 20.0792i | −0.517409 | + | 0.896178i | ||||
\(503\) | −0.0792331 | − | 0.137236i | −0.00353283 | − | 0.00611904i | 0.864254 | − | 0.503056i | \(-0.167791\pi\) |
−0.867786 | + | 0.496937i | \(0.834458\pi\) | |||||||
\(504\) | −5.90968 | − | 10.2359i | −0.263238 | − | 0.455942i | ||||
\(505\) | 17.0092 | + | 29.4608i | 0.756900 | + | 1.31099i | ||||
\(506\) | 47.2899 | + | 81.9086i | 2.10229 | + | 3.64128i | ||||
\(507\) | 6.89523 | − | 11.9429i | 0.306228 | − | 0.530402i | ||||
\(508\) | 37.1129 | + | 64.2815i | 1.64662 | + | 2.85203i | ||||
\(509\) | 9.14678 | − | 15.8427i | 0.405424 | − | 0.702215i | −0.588947 | − | 0.808172i | \(-0.700457\pi\) |
0.994371 | + | 0.105957i | \(0.0337905\pi\) | |||||||
\(510\) | 0.951851 | + | 1.64865i | 0.0421487 | + | 0.0730036i | ||||
\(511\) | −0.102620 | −0.00453963 | ||||||||
\(512\) | −23.1067 | −1.02118 | ||||||||
\(513\) | 13.4775 | + | 23.3437i | 0.595047 | + | 1.03065i | ||||
\(514\) | −7.71546 | + | 13.3636i | −0.340315 | + | 0.589442i | ||||
\(515\) | −9.31929 | − | 16.1415i | −0.410657 | − | 0.711279i | ||||
\(516\) | 0.0879844 | 0.00387330 | ||||||||
\(517\) | −55.7030 | −2.44982 | ||||||||
\(518\) | −11.2560 | − | 19.4960i | −0.494561 | − | 0.856605i | ||||
\(519\) | −6.89047 | −0.302458 | ||||||||
\(520\) | 43.9479 | 1.92724 | ||||||||
\(521\) | −8.11496 | + | 14.0555i | −0.355523 | + | 0.615784i | −0.987207 | − | 0.159442i | \(-0.949031\pi\) |
0.631684 | + | 0.775226i | \(0.282364\pi\) | |||||||
\(522\) | 17.7776 | − | 30.7917i | 0.778103 | − | 1.34771i | ||||
\(523\) | −12.1262 | − | 21.0031i | −0.530240 | − | 0.918402i | −0.999378 | − | 0.0352773i | \(-0.988769\pi\) |
0.469138 | − | 0.883125i | \(-0.344565\pi\) | |||||||
\(524\) | 11.9807 | + | 20.7511i | 0.523378 | + | 0.906518i | ||||
\(525\) | 0.496509 | − | 0.859978i | 0.0216694 | − | 0.0375325i | ||||
\(526\) | 4.65534 | − | 8.06328i | 0.202982 | − | 0.351576i | ||||
\(527\) | 2.35447 | 0.102562 | ||||||||
\(528\) | −8.22486 | −0.357941 | ||||||||
\(529\) | −20.5618 | − | 35.6142i | −0.893993 | − | 1.54844i | ||||
\(530\) | 40.4286 | 1.75611 | ||||||||
\(531\) | −0.855596 | −0.0371297 | ||||||||
\(532\) | −14.6250 | − | 25.3313i | −0.634075 | − | 1.09825i | ||||
\(533\) | −29.8863 | + | 51.7647i | −1.29452 | + | 2.24218i | ||||
\(534\) | −0.277898 | − | 0.481334i | −0.0120258 | − | 0.0208294i | ||||
\(535\) | 3.15500 | 0.136403 | ||||||||
\(536\) | −49.6290 | −2.14365 | ||||||||
\(537\) | −7.19220 | − | 12.4573i | −0.310366 | − | 0.537570i | ||||
\(538\) | 31.3659 | − | 54.3274i | 1.35228 | − | 2.34222i | ||||
\(539\) | 13.5447 | + | 23.4601i | 0.583411 | + | 1.01050i | ||||
\(540\) | −15.3432 | + | 26.5752i | −0.660265 | + | 1.14361i | ||||
\(541\) | −18.1045 | − | 31.3580i | −0.778375 | − | 1.34819i | −0.932878 | − | 0.360193i | \(-0.882711\pi\) |
0.154503 | − | 0.987992i | \(-0.450622\pi\) | |||||||
\(542\) | −6.35250 | − | 11.0029i | −0.272863 | − | 0.472613i | ||||
\(543\) | 3.62565 | + | 6.27981i | 0.155592 | + | 0.269492i | ||||
\(544\) | 0.742602 | + | 1.28622i | 0.0318388 | + | 0.0551464i | ||||
\(545\) | 8.75558 | − | 15.1651i | 0.375048 | − | 0.649602i | ||||
\(546\) | −6.36629 | − | 11.0267i | −0.272452 | − | 0.471901i | ||||
\(547\) | 20.1385 | + | 34.8810i | 0.861062 | + | 1.49140i | 0.870905 | + | 0.491451i | \(0.163533\pi\) |
−0.00984381 | + | 0.999952i | \(0.503133\pi\) | |||||||
\(548\) | 12.7389 | − | 22.0644i | 0.544177 | − | 0.942543i | ||||
\(549\) | 0.958229 | − | 1.65970i | 0.0408962 | − | 0.0708343i | ||||
\(550\) | 6.08035 | + | 10.5315i | 0.259267 | + | 0.449063i | ||||
\(551\) | 20.0240 | − | 34.6826i | 0.853050 | − | 1.47753i | ||||
\(552\) | 24.7733 | 1.05442 | ||||||||
\(553\) | 9.58486 | − | 16.6015i | 0.407590 | − | 0.705966i | ||||
\(554\) | 7.06926 | + | 12.2443i | 0.300344 | + | 0.520211i | ||||
\(555\) | −5.90511 | + | 10.2279i | −0.250658 | + | 0.434152i | ||||
\(556\) | 32.7049 | + | 56.6466i | 1.38700 | + | 2.40235i | ||||
\(557\) | −8.23696 | − | 14.2668i | −0.349011 | − | 0.604505i | 0.637063 | − | 0.770812i | \(-0.280149\pi\) |
−0.986074 | + | 0.166307i | \(0.946816\pi\) | |||||||
\(558\) | 13.0150 | + | 22.5426i | 0.550969 | + | 0.954306i | ||||
\(559\) | −0.170886 | −0.00722769 | ||||||||
\(560\) | 2.63512 | − | 4.56416i | 0.111354 | − | 0.192871i | ||||
\(561\) | 0.994962 | + | 1.72333i | 0.0420073 | + | 0.0727588i | ||||
\(562\) | 4.60511 | 0.194255 | ||||||||
\(563\) | −7.84715 | − | 13.5917i | −0.330718 | − | 0.572820i | 0.651935 | − | 0.758275i | \(-0.273958\pi\) |
−0.982653 | + | 0.185455i | \(0.940624\pi\) | |||||||
\(564\) | −16.0283 | + | 27.7619i | −0.674914 | + | 1.16899i | ||||
\(565\) | −15.3495 | −0.645760 | ||||||||
\(566\) | −20.4686 | + | 35.4526i | −0.860359 | + | 1.49019i | ||||
\(567\) | −4.86622 | −0.204362 | ||||||||
\(568\) | 5.33326 | − | 9.23747i | 0.223779 | − | 0.387596i | ||||
\(569\) | 21.8342 | − | 37.8180i | 0.915338 | − | 1.58541i | 0.108933 | − | 0.994049i | \(-0.465257\pi\) |
0.806405 | − | 0.591363i | \(-0.201410\pi\) | |||||||
\(570\) | −11.8530 | + | 20.5300i | −0.496467 | + | 0.859906i | ||||
\(571\) | −29.1754 | −1.22095 | −0.610476 | − | 0.792035i | \(-0.709022\pi\) | ||||
−0.610476 | + | 0.792035i | \(0.709022\pi\) | |||||||
\(572\) | 100.932 | 4.22018 | ||||||||
\(573\) | 3.80535 | 0.158971 | ||||||||
\(574\) | 15.9221 | + | 27.5779i | 0.664577 | + | 1.15108i | ||||
\(575\) | −4.12238 | − | 7.14017i | −0.171915 | − | 0.297766i | ||||
\(576\) | −13.3179 | + | 23.0673i | −0.554913 | + | 0.961137i | ||||
\(577\) | −15.4069 | −0.641396 | −0.320698 | − | 0.947182i | \(-0.603917\pi\) | ||||
−0.320698 | + | 0.947182i | \(0.603917\pi\) | |||||||
\(578\) | 19.9243 | − | 34.5098i | 0.828740 | − | 1.43542i | ||||
\(579\) | 2.37708 | − | 4.11723i | 0.0987882 | − | 0.171106i | ||||
\(580\) | 45.5917 | 1.89309 | ||||||||
\(581\) | −0.592989 | − | 1.02709i | −0.0246013 | − | 0.0426108i | ||||
\(582\) | 3.48763 | − | 6.04075i | 0.144567 | − | 0.250397i | ||||
\(583\) | 42.2597 | 1.75022 | ||||||||
\(584\) | −0.164584 | − | 0.285068i | −0.00681054 | − | 0.0117962i | ||||
\(585\) | 13.2300 | − | 22.9151i | 0.546994 | − | 0.947422i | ||||
\(586\) | 20.2764 | + | 35.1197i | 0.837609 | + | 1.45078i | ||||
\(587\) | −19.7188 | − | 34.1539i | −0.813881 | − | 1.40968i | −0.910128 | − | 0.414326i | \(-0.864017\pi\) |
0.0962471 | − | 0.995357i | \(-0.469316\pi\) | |||||||
\(588\) | 15.5897 | 0.642909 | ||||||||
\(589\) | 14.6596 | + | 25.3912i | 0.604039 | + | 1.04623i | ||||
\(590\) | −0.847444 | − | 1.46782i | −0.0348887 | − | 0.0604290i | ||||
\(591\) | −8.46857 | + | 14.6680i | −0.348351 | + | 0.603361i | ||||
\(592\) | 8.12711 | − | 14.0766i | 0.334022 | − | 0.578543i | ||||
\(593\) | 4.54885 | + | 7.87884i | 0.186799 | + | 0.323545i | 0.944181 | − | 0.329426i | \(-0.106855\pi\) |
−0.757382 | + | 0.652972i | \(0.773522\pi\) | |||||||
\(594\) | −24.7766 | + | 42.9143i | −1.01660 | + | 1.76080i | ||||
\(595\) | −1.27508 | −0.0522733 | ||||||||
\(596\) | −12.1982 | −0.499656 | ||||||||
\(597\) | −12.7436 | −0.521562 | ||||||||
\(598\) | −105.715 | −4.32302 | ||||||||
\(599\) | 8.39454 | − | 14.5398i | 0.342992 | − | 0.594079i | −0.641995 | − | 0.766709i | \(-0.721893\pi\) |
0.984987 | + | 0.172630i | \(0.0552264\pi\) | |||||||
\(600\) | 3.18525 | 0.130037 | ||||||||
\(601\) | −4.44989 | + | 7.70743i | −0.181515 | + | 0.314393i | −0.942397 | − | 0.334498i | \(-0.891433\pi\) |
0.760882 | + | 0.648890i | \(0.224767\pi\) | |||||||
\(602\) | −0.0455202 | + | 0.0788433i | −0.00185526 | + | 0.00321341i | ||||
\(603\) | −14.9403 | + | 25.8773i | −0.608414 | + | 1.05380i | ||||
\(604\) | −1.24231 | + | 2.15175i | −0.0505489 | + | 0.0875533i | ||||
\(605\) | −13.5501 | − | 23.4694i | −0.550890 | − | 0.954169i | ||||
\(606\) | 31.6140 | 1.28423 | ||||||||
\(607\) | −12.4764 | − | 21.6097i | −0.506400 | − | 0.877111i | −0.999973 | − | 0.00740627i | \(-0.997642\pi\) |
0.493572 | − | 0.869705i | \(-0.335691\pi\) | |||||||
\(608\) | −9.24730 | + | 16.0168i | −0.375027 | + | 0.649566i | ||||
\(609\) | −3.00594 | − | 5.20644i | −0.121807 | − | 0.210976i | ||||
\(610\) | 3.79640 | 0.153712 | ||||||||
\(611\) | 31.1307 | − | 53.9199i | 1.25941 | − | 2.18136i | ||||
\(612\) | −4.53636 | −0.183371 | ||||||||
\(613\) | −12.3798 | − | 21.4425i | −0.500016 | − | 0.866053i | −1.00000 | 1.83678e-5i | \(-0.999994\pi\) | |
0.499984 | − | 0.866035i | \(-0.333339\pi\) | |||||||
\(614\) | −26.0579 | − | 45.1336i | −1.05161 | − | 1.82144i | ||||
\(615\) | 8.35302 | − | 14.4679i | 0.336826 | − | 0.583401i | ||||
\(616\) | 12.2370 | − | 21.1951i | 0.493042 | − | 0.853973i | ||||
\(617\) | 12.3670 | + | 21.4202i | 0.497876 | + | 0.862346i | 0.999997 | − | 0.00245110i | \(-0.000780209\pi\) |
−0.502121 | + | 0.864797i | \(0.667447\pi\) | |||||||
\(618\) | −17.3212 | −0.696762 | ||||||||
\(619\) | 7.69988 | 0.309484 | 0.154742 | − | 0.987955i | \(-0.450545\pi\) | ||||
0.154742 | + | 0.987955i | \(0.450545\pi\) | |||||||
\(620\) | −16.6889 | + | 28.9060i | −0.670242 | + | 1.16089i | ||||
\(621\) | 16.7981 | − | 29.0952i | 0.674086 | − | 1.16755i | ||||
\(622\) | 5.90627 | − | 10.2300i | 0.236820 | − | 0.410184i | ||||
\(623\) | 0.372268 | 0.0149146 | ||||||||
\(624\) | 4.59661 | − | 7.96156i | 0.184012 | − | 0.318718i | ||||
\(625\) | 9.39596 | + | 16.2743i | 0.375838 | + | 0.650971i | ||||
\(626\) | −33.0474 | + | 57.2399i | −1.32084 | + | 2.28776i | ||||
\(627\) | −12.3898 | + | 21.4598i | −0.494802 | + | 0.857022i | ||||
\(628\) | −6.07176 | + | 10.5166i | −0.242290 | + | 0.419658i | ||||
\(629\) | −3.93255 | −0.156801 | ||||||||
\(630\) | −7.04838 | − | 12.2081i | −0.280814 | − | 0.486384i | ||||
\(631\) | −11.3002 | −0.449855 | −0.224927 | − | 0.974376i | \(-0.572214\pi\) | ||||
−0.224927 | + | 0.974376i | \(0.572214\pi\) | |||||||
\(632\) | 61.4898 | 2.44593 | ||||||||
\(633\) | −10.8267 | −0.430322 | ||||||||
\(634\) | −40.6453 | −1.61423 | ||||||||
\(635\) | 20.1463 | + | 34.8945i | 0.799483 | + | 1.38475i | ||||
\(636\) | 12.1601 | − | 21.0619i | 0.482178 | − | 0.835157i | ||||
\(637\) | −30.2788 | −1.19969 | ||||||||
\(638\) | 73.6228 | 2.91475 | ||||||||
\(639\) | −3.21104 | − | 5.56168i | −0.127027 | − | 0.220017i | ||||
\(640\) | −41.2922 | −1.63222 | ||||||||
\(641\) | −11.0797 | + | 19.1906i | −0.437621 | + | 0.757982i | −0.997505 | − | 0.0705890i | \(-0.977512\pi\) |
0.559885 | + | 0.828571i | \(0.310845\pi\) | |||||||
\(642\) | 1.46601 | − | 2.53920i | 0.0578586 | − | 0.100214i | ||||
\(643\) | 19.1698 | + | 33.2031i | 0.755983 | + | 1.30940i | 0.944884 | + | 0.327405i | \(0.106174\pi\) |
−0.188901 | + | 0.981996i | \(0.560493\pi\) | |||||||
\(644\) | −18.2284 | + | 31.5725i | −0.718298 | + | 1.24413i | ||||
\(645\) | 0.0477614 | 0.00188060 | ||||||||
\(646\) | −7.89358 | −0.310569 | ||||||||
\(647\) | 19.9441 | + | 34.5442i | 0.784084 | + | 1.35807i | 0.929545 | + | 0.368709i | \(0.120200\pi\) |
−0.145461 | + | 0.989364i | \(0.546467\pi\) | |||||||
\(648\) | −7.80457 | − | 13.5179i | −0.306592 | − | 0.531034i | ||||
\(649\) | −0.885826 | − | 1.53430i | −0.0347717 | − | 0.0602264i | ||||
\(650\) | −13.5925 | −0.533140 | ||||||||
\(651\) | 4.40132 | 0.172501 | ||||||||
\(652\) | −6.77146 | − | 11.7285i | −0.265191 | − | 0.459324i | ||||
\(653\) | −14.7288 | −0.576381 | −0.288191 | − | 0.957573i | \(-0.593054\pi\) | ||||
−0.288191 | + | 0.957573i | \(0.593054\pi\) | |||||||
\(654\) | −8.13674 | − | 14.0933i | −0.318172 | − | 0.551090i | ||||
\(655\) | 6.50358 | + | 11.2645i | 0.254116 | + | 0.440141i | ||||
\(656\) | −11.4961 | + | 19.9119i | −0.448849 | + | 0.777429i | ||||
\(657\) | −0.198185 | −0.00773193 | ||||||||
\(658\) | −16.5850 | − | 28.7261i | −0.646553 | − | 1.11986i | ||||
\(659\) | −46.7544 | −1.82129 | −0.910647 | − | 0.413186i | \(-0.864416\pi\) | ||||
−0.910647 | + | 0.413186i | \(0.864416\pi\) | |||||||
\(660\) | −28.2098 | −1.09807 | ||||||||
\(661\) | 45.3733 | 1.76482 | 0.882408 | − | 0.470484i | \(-0.155921\pi\) | ||||
0.882408 | + | 0.470484i | \(0.155921\pi\) | |||||||
\(662\) | −12.9342 | −0.502702 | ||||||||
\(663\) | −2.22421 | −0.0863812 | ||||||||
\(664\) | 1.90210 | − | 3.29454i | 0.0738159 | − | 0.127853i | ||||
\(665\) | −7.93903 | − | 13.7508i | −0.307862 | − | 0.533233i | ||||
\(666\) | −21.7383 | − | 37.6518i | −0.842341 | − | 1.45898i | ||||
\(667\) | −49.9151 | −1.93272 | ||||||||
\(668\) | −3.35924 | − | 5.81837i | −0.129973 | − | 0.225119i | ||||
\(669\) | −6.72109 | − | 11.6413i | −0.259852 | − | 0.450077i | ||||
\(670\) | −59.1916 | −2.28677 | ||||||||
\(671\) | 3.96834 | 0.153196 | ||||||||
\(672\) | 1.38818 | + | 2.40439i | 0.0535501 | + | 0.0927515i | ||||
\(673\) | −1.19741 | + | 2.07397i | −0.0461567 | + | 0.0799457i | −0.888181 | − | 0.459494i | \(-0.848031\pi\) |
0.842024 | + | 0.539440i | \(0.181364\pi\) | |||||||
\(674\) | 15.0879 | + | 26.1331i | 0.581166 | + | 1.00661i | ||||
\(675\) | 2.15984 | − | 3.74095i | 0.0831322 | − | 0.143989i | ||||
\(676\) | −32.5484 | + | 56.3754i | −1.25186 | + | 2.16829i | ||||
\(677\) | −13.5537 | −0.520911 | −0.260455 | − | 0.965486i | \(-0.583873\pi\) | ||||
−0.260455 | + | 0.965486i | \(0.583873\pi\) | |||||||
\(678\) | −7.13232 | + | 12.3535i | −0.273915 | + | 0.474435i | ||||
\(679\) | 2.33598 | + | 4.04604i | 0.0896468 | + | 0.155273i | ||||
\(680\) | −2.04501 | − | 3.54206i | −0.0784226 | − | 0.135832i | ||||
\(681\) | 4.27776 | 0.163924 | ||||||||
\(682\) | −26.9497 | + | 46.6783i | −1.03196 | + | 1.78740i | ||||
\(683\) | 5.99845 | − | 10.3896i | 0.229524 | − | 0.397548i | −0.728143 | − | 0.685425i | \(-0.759616\pi\) |
0.957667 | + | 0.287878i | \(0.0929496\pi\) | |||||||
\(684\) | −28.2446 | − | 48.9211i | −1.07996 | − | 1.87055i | ||||
\(685\) | 6.91515 | − | 11.9774i | 0.264214 | − | 0.457633i | ||||
\(686\) | −18.4029 | + | 31.8748i | −0.702627 | + | 1.21699i | ||||
\(687\) | 4.81172 | 0.183579 | ||||||||
\(688\) | −0.0657333 | −0.00250606 | ||||||||
\(689\) | −23.6176 | + | 40.9069i | −0.899759 | + | 1.55843i | ||||
\(690\) | 29.5467 | 1.12482 | ||||||||
\(691\) | 10.2326 | − | 17.7235i | 0.389268 | − | 0.674232i | −0.603083 | − | 0.797678i | \(-0.706061\pi\) |
0.992351 | + | 0.123446i | \(0.0393946\pi\) | |||||||
\(692\) | 32.5259 | 1.23645 | ||||||||
\(693\) | −7.36761 | − | 12.7611i | −0.279872 | − | 0.484753i | ||||
\(694\) | 26.3952 | + | 45.7178i | 1.00195 | + | 1.73542i | ||||
\(695\) | 17.7535 | + | 30.7500i | 0.673429 | + | 1.16641i | ||||
\(696\) | 9.64201 | − | 16.7005i | 0.365480 | − | 0.633029i | ||||
\(697\) | 5.56276 | 0.210705 | ||||||||
\(698\) | −29.7329 | − | 33.0911i | −1.12541 | − | 1.25252i | ||||
\(699\) | −20.2489 | −0.765883 | ||||||||
\(700\) | −2.34373 | + | 4.05946i | −0.0885846 | + | 0.153433i | ||||
\(701\) | −12.4030 | − | 21.4827i | −0.468457 | − | 0.811391i | 0.530893 | − | 0.847439i | \(-0.321856\pi\) |
−0.999350 | + | 0.0360479i | \(0.988523\pi\) | |||||||
\(702\) | −27.6937 | − | 47.9669i | −1.04523 | − | 1.81039i | ||||
\(703\) | −24.4852 | − | 42.4095i | −0.923475 | − | 1.59951i | ||||
\(704\) | −55.1538 | −2.07869 | ||||||||
\(705\) | −8.70080 | + | 15.0702i | −0.327691 | + | 0.567578i | ||||
\(706\) | 14.9869 | 0.564040 | ||||||||
\(707\) | −10.5874 | + | 18.3379i | −0.398180 | + | 0.689669i | ||||
\(708\) | −1.01957 | −0.0383179 | ||||||||
\(709\) | 13.7874 | 0.517797 | 0.258898 | − | 0.965905i | \(-0.416641\pi\) | ||||
0.258898 | + | 0.965905i | \(0.416641\pi\) | |||||||
\(710\) | 6.36088 | − | 11.0174i | 0.238720 | − | 0.413475i | ||||
\(711\) | 18.5108 | − | 32.0617i | 0.694210 | − | 1.20241i | ||||
\(712\) | 0.597053 | + | 1.03413i | 0.0223755 | + | 0.0387555i | ||||
\(713\) | 18.2715 | − | 31.6471i | 0.684273 | − | 1.18519i | ||||
\(714\) | −0.592481 | + | 1.02621i | −0.0221730 | + | 0.0384048i | ||||
\(715\) | 54.7899 | 2.04903 | ||||||||
\(716\) | 33.9502 | + | 58.8035i | 1.26878 | + | 2.19759i | ||||
\(717\) | −0.414687 | − | 0.718260i | −0.0154868 | − | 0.0268239i | ||||
\(718\) | 7.25839 | − | 12.5719i | 0.270881 | − | 0.469179i | ||||
\(719\) | 2.84872 | 0.106239 | 0.0531196 | − | 0.998588i | \(-0.483084\pi\) | ||||
0.0531196 | + | 0.998588i | \(0.483084\pi\) | |||||||
\(720\) | 5.08909 | − | 8.81456i | 0.189659 | − | 0.328499i | ||||
\(721\) | 5.80080 | − | 10.0473i | 0.216033 | − | 0.374181i | ||||
\(722\) | −26.5251 | − | 45.9429i | −0.987163 | − | 1.70982i | ||||
\(723\) | 0.683266 | − | 1.18345i | 0.0254109 | − | 0.0440130i | ||||
\(724\) | −17.1146 | − | 29.6433i | −0.636059 | − | 1.10169i | ||||
\(725\) | −6.41788 | −0.238354 | ||||||||
\(726\) | −25.1848 | −0.934694 | ||||||||
\(727\) | −5.43884 | − | 9.42035i | −0.201715 | − | 0.349381i | 0.747366 | − | 0.664413i | \(-0.231318\pi\) |
−0.949081 | + | 0.315031i | \(0.897985\pi\) | |||||||
\(728\) | 13.6777 | + | 23.6905i | 0.506930 | + | 0.878028i | ||||
\(729\) | 0.389511 | 0.0144263 | ||||||||
\(730\) | −0.196297 | − | 0.339996i | −0.00726526 | − | 0.0125838i | ||||
\(731\) | 0.00795176 | + | 0.0137729i | 0.000294107 | + | 0.000509408i | ||||
\(732\) | 1.14188 | − | 1.97779i | 0.0422049 | − | 0.0731011i | ||||
\(733\) | −26.8829 | −0.992944 | −0.496472 | − | 0.868053i | \(-0.665372\pi\) | ||||
−0.496472 | + | 0.868053i | \(0.665372\pi\) | |||||||
\(734\) | 84.0776 | 3.10336 | ||||||||
\(735\) | 8.46271 | 0.312152 | ||||||||
\(736\) | 23.0513 | 0.849684 | ||||||||
\(737\) | −61.8725 | −2.27910 | ||||||||
\(738\) | 30.7497 | + | 53.2600i | 1.13191 | + | 1.96053i | ||||
\(739\) | −2.61604 | −0.0962326 | −0.0481163 | − | 0.998842i | \(-0.515322\pi\) | ||||
−0.0481163 | + | 0.998842i | \(0.515322\pi\) | |||||||
\(740\) | 27.8746 | − | 48.2802i | 1.02469 | − | 1.77481i | ||||
\(741\) | −13.8486 | − | 23.9864i | −0.508739 | − | 0.881163i | ||||
\(742\) | 12.5824 | + | 21.7934i | 0.461915 | + | 0.800061i | ||||
\(743\) | −46.2601 | −1.69712 | −0.848560 | − | 0.529100i | \(-0.822530\pi\) | ||||
−0.848560 | + | 0.529100i | \(0.822530\pi\) | |||||||
\(744\) | 7.05894 | + | 12.2264i | 0.258793 | + | 0.448243i | ||||
\(745\) | −6.62163 | −0.242598 | ||||||||
\(746\) | −50.9026 | −1.86368 | ||||||||
\(747\) | −1.14521 | − | 1.98357i | −0.0419012 | − | 0.0725750i | ||||
\(748\) | −4.69664 | − | 8.13482i | −0.171726 | − | 0.297438i | ||||
\(749\) | 0.981918 | + | 1.70073i | 0.0358785 | + | 0.0621434i | ||||
\(750\) | 22.2479 | 0.812377 | ||||||||
\(751\) | 44.2869 | 1.61605 | 0.808025 | − | 0.589148i | \(-0.200536\pi\) | ||||
0.808025 | + | 0.589148i | \(0.200536\pi\) | |||||||
\(752\) | 11.9748 | − | 20.7409i | 0.436676 | − | 0.756344i | ||||
\(753\) | 3.78559 | + | 6.55683i | 0.137955 | + | 0.238944i | ||||
\(754\) | −41.1454 | + | 71.2660i | −1.49843 | + | 2.59535i | ||||
\(755\) | −0.674375 | + | 1.16805i | −0.0245430 | + | 0.0425098i | ||||
\(756\) | −19.1008 | −0.694688 | ||||||||
\(757\) | −7.29656 | − | 12.6380i | −0.265198 | − | 0.459337i | 0.702417 | − | 0.711765i | \(-0.252104\pi\) |
−0.967616 | + | 0.252429i | \(0.918771\pi\) | |||||||
\(758\) | 21.0355 | 0.764042 | ||||||||
\(759\) | 30.8849 | 1.12105 | ||||||||
\(760\) | 25.4656 | − | 44.1078i | 0.923735 | − | 1.59996i | ||||
\(761\) | 13.5404 | + | 23.4527i | 0.490840 | + | 0.850161i | 0.999944 | − | 0.0105444i | \(-0.00335645\pi\) |
−0.509104 | + | 0.860705i | \(0.670023\pi\) | |||||||
\(762\) | 37.4448 | 1.35648 | ||||||||
\(763\) | 10.8998 | 0.394601 | ||||||||
\(764\) | −17.9629 | −0.649873 | ||||||||
\(765\) | −2.46251 | −0.0890323 | ||||||||
\(766\) | 1.99473 | + | 3.45498i | 0.0720726 | + | 0.124833i | ||||
\(767\) | 1.98024 | 0.0715023 | ||||||||
\(768\) | −10.5398 | + | 18.2554i | −0.380321 | + | 0.658736i | ||||
\(769\) | 9.86930 | − | 17.0941i | 0.355896 | − | 0.616430i | −0.631375 | − | 0.775478i | \(-0.717509\pi\) |
0.987271 | + | 0.159048i | \(0.0508423\pi\) | |||||||
\(770\) | 14.5948 | − | 25.2790i | 0.525961 | − | 0.910991i | ||||
\(771\) | 2.51947 | + | 4.36386i | 0.0907367 | + | 0.157161i | ||||
\(772\) | −11.2208 | + | 19.4351i | −0.403847 | + | 0.699483i | ||||
\(773\) | −34.4040 | −1.23743 | −0.618713 | − | 0.785617i | \(-0.712346\pi\) | ||||
−0.618713 | + | 0.785617i | \(0.712346\pi\) | |||||||
\(774\) | −0.0879111 | + | 0.152267i | −0.00315990 | + | 0.00547311i | ||||
\(775\) | 2.34927 | − | 4.06906i | 0.0843884 | − | 0.146165i | ||||
\(776\) | −7.49302 | + | 12.9783i | −0.268984 | + | 0.465894i | ||||
\(777\) | −7.35128 | −0.263726 | ||||||||
\(778\) | −66.2987 | −2.37692 | ||||||||
\(779\) | 34.6353 | + | 59.9901i | 1.24094 | + | 2.14937i | ||||
\(780\) | 15.7656 | − | 27.3068i | 0.564498 | − | 0.977740i | ||||
\(781\) | 6.64898 | − | 11.5164i | 0.237919 | − | 0.412088i | ||||
\(782\) | 4.91921 | + | 8.52033i | 0.175911 | + | 0.304686i | ||||
\(783\) | −13.0760 | − | 22.6483i | −0.467298 | − | 0.809384i | ||||
\(784\) | −11.6471 | −0.415968 | ||||||||
\(785\) | −3.29599 | + | 5.70882i | −0.117639 | + | 0.203757i | ||||
\(786\) | 12.0878 | 0.431158 | ||||||||
\(787\) | 17.2873 | + | 29.9424i | 0.616225 | + | 1.06733i | 0.990168 | + | 0.139881i | \(0.0446720\pi\) |
−0.373944 | + | 0.927451i | \(0.621995\pi\) | |||||||
\(788\) | 39.9752 | − | 69.2391i | 1.42406 | − | 2.46654i | ||||
\(789\) | −1.52020 | − | 2.63306i | −0.0541204 | − | 0.0937393i | ||||
\(790\) | 73.3378 | 2.60924 | ||||||||
\(791\) | −4.77717 | − | 8.27430i | −0.169857 | − | 0.294200i | ||||
\(792\) | 23.6327 | − | 40.9331i | 0.839752 | − | 1.45449i | ||||
\(793\) | −2.21778 | + | 3.84131i | −0.0787557 | + | 0.136409i | ||||
\(794\) | −22.0793 | + | 38.2425i | −0.783566 | + | 1.35718i | ||||
\(795\) | 6.60096 | − | 11.4332i | 0.234112 | − | 0.405494i | ||||
\(796\) | 60.1552 | 2.13215 | ||||||||
\(797\) | −3.22019 | + | 5.57753i | −0.114065 | + | 0.197566i | −0.917406 | − | 0.397953i | \(-0.869721\pi\) |
0.803341 | + | 0.595520i | \(0.203054\pi\) | |||||||
\(798\) | −14.7558 | −0.522350 | ||||||||
\(799\) | −5.79437 | −0.204990 | ||||||||
\(800\) | 2.96385 | 0.104788 | ||||||||
\(801\) | 0.718945 | 0.0254027 | ||||||||
\(802\) | −8.11168 | + | 14.0498i | −0.286433 | + | 0.496117i | ||||
\(803\) | −0.205187 | − | 0.355395i | −0.00724090 | − | 0.0125416i | ||||
\(804\) | −17.8036 | + | 30.8367i | −0.627884 | + | 1.08753i | ||||
\(805\) | −9.89507 | + | 17.1388i | −0.348755 | + | 0.604062i | ||||
\(806\) | −30.1227 | − | 52.1740i | −1.06103 | − | 1.83775i | ||||
\(807\) | −10.2425 | − | 17.7405i | −0.360553 | − | 0.624496i | ||||
\(808\) | −67.9214 | −2.38947 | ||||||||
\(809\) | −3.92601 | − | 6.80006i | −0.138031 | − | 0.239077i | 0.788720 | − | 0.614753i | \(-0.210744\pi\) |
−0.926751 | + | 0.375675i | \(0.877411\pi\) | |||||||
\(810\) | −9.30838 | − | 16.1226i | −0.327063 | − | 0.566490i | ||||
\(811\) | 2.94924 | − | 5.10823i | 0.103562 | − | 0.179374i | −0.809588 | − | 0.586999i | \(-0.800309\pi\) |
0.913150 | + | 0.407624i | \(0.133643\pi\) | |||||||
\(812\) | 14.1893 | + | 24.5766i | 0.497947 | + | 0.862470i | ||||
\(813\) | −4.14880 | −0.145505 | ||||||||
\(814\) | 45.0127 | − | 77.9642i | 1.57769 | − | 2.73264i | ||||
\(815\) | −3.67581 | − | 6.36669i | −0.128758 | − | 0.223016i | ||||
\(816\) | −0.855570 | −0.0299509 | ||||||||
\(817\) | −0.0990198 | + | 0.171507i | −0.00346426 | + | 0.00600028i | ||||
\(818\) | 20.3798 | − | 35.2989i | 0.712564 | − | 1.23420i | ||||
\(819\) | 16.4701 | 0.575512 | ||||||||
\(820\) | −39.4298 | + | 68.2944i | −1.37695 | + | 2.38494i | ||||
\(821\) | −5.24852 | − | 9.09069i | −0.183174 | − | 0.317267i | 0.759785 | − | 0.650174i | \(-0.225304\pi\) |
−0.942960 | + | 0.332906i | \(0.891971\pi\) | |||||||
\(822\) | −6.42639 | − | 11.1308i | −0.224146 | − | 0.388233i | ||||
\(823\) | −23.2008 | −0.808729 | −0.404365 | − | 0.914598i | \(-0.632507\pi\) | ||||
−0.404365 | + | 0.914598i | \(0.632507\pi\) | |||||||
\(824\) | 37.2139 | 1.29641 | ||||||||
\(825\) | 3.97106 | 0.138255 | ||||||||
\(826\) | 0.527492 | − | 0.913644i | 0.0183538 | − | 0.0317897i | ||||
\(827\) | 6.10370 | − | 10.5719i | 0.212247 | − | 0.367622i | −0.740171 | − | 0.672419i | \(-0.765255\pi\) |
0.952417 | + | 0.304797i | \(0.0985887\pi\) | |||||||
\(828\) | −35.2036 | + | 60.9745i | −1.22341 | + | 2.11901i | ||||
\(829\) | 46.9891 | 1.63200 | 0.815999 | − | 0.578053i | \(-0.196187\pi\) | ||||
0.815999 | + | 0.578053i | \(0.196187\pi\) | |||||||
\(830\) | 2.26861 | − | 3.92934i | 0.0787445 | − | 0.136389i | ||||
\(831\) | 4.61691 | 0.160159 | ||||||||
\(832\) | 30.8237 | − | 53.3883i | 1.06862 | − | 1.85090i | ||||
\(833\) | 1.40895 | + | 2.44037i | 0.0488173 | + | 0.0845540i | ||||
\(834\) | 32.9974 | 1.14261 | ||||||||
\(835\) | −1.82352 | − | 3.15844i | −0.0631057 | − | 0.109302i | ||||
\(836\) | 58.4852 | − | 101.299i | 2.02275 | − | 3.50351i | ||||
\(837\) | 19.1459 | 0.661781 | ||||||||
\(838\) | −6.14815 | − | 10.6489i | −0.212384 | − | 0.367861i | ||||
\(839\) | 11.6002 | + | 20.0921i | 0.400482 | + | 0.693655i | 0.993784 | − | 0.111325i | \(-0.0355095\pi\) |
−0.593302 | + | 0.804980i | \(0.702176\pi\) | |||||||
\(840\) | −3.82283 | − | 6.62133i | −0.131900 | − | 0.228458i | ||||
\(841\) | −4.92744 | + | 8.53458i | −0.169912 | + | 0.294296i | ||||
\(842\) | −33.4198 | − | 57.8847i | −1.15172 | − | 1.99484i | ||||
\(843\) | 0.751896 | − | 1.30232i | 0.0258967 | − | 0.0448544i | ||||
\(844\) | 51.1065 | 1.75916 | ||||||||
\(845\) | −17.6685 | + | 30.6028i | −0.607816 | + | 1.05277i | ||||
\(846\) | −32.0300 | − | 55.4775i | −1.10121 | − | 1.90736i | ||||
\(847\) | 8.43427 | − | 14.6086i | 0.289805 | − | 0.501957i | ||||
\(848\) | −9.08480 | + | 15.7353i | −0.311973 | + | 0.540354i | ||||
\(849\) | 6.68399 | + | 11.5770i | 0.229394 | + | 0.397322i | ||||
\(850\) | 0.632493 | + | 1.09551i | 0.0216943 | + | 0.0375757i | ||||
\(851\) | −30.5179 | + | 52.8585i | −1.04614 | + | 1.81197i | ||||
\(852\) | −3.82644 | − | 6.62758i | −0.131092 | − | 0.227057i | ||||
\(853\) | 19.3615 | + | 33.5351i | 0.662925 | + | 1.14822i | 0.979844 | + | 0.199767i | \(0.0640184\pi\) |
−0.316919 | + | 0.948453i | \(0.602648\pi\) | |||||||
\(854\) | 1.18154 | + | 2.04648i | 0.0404313 | + | 0.0700291i | ||||
\(855\) | −15.3323 | − | 26.5563i | −0.524353 | − | 0.908206i | ||||
\(856\) | −3.14965 | + | 5.45536i | −0.107653 | + | 0.186460i | ||||
\(857\) | 22.7341 | + | 39.3766i | 0.776582 | + | 1.34508i | 0.933901 | + | 0.357532i | \(0.116382\pi\) |
−0.157319 | + | 0.987548i | \(0.550285\pi\) | |||||||
\(858\) | 25.4587 | − | 44.0958i | 0.869146 | − | 1.50540i | ||||
\(859\) | 9.38645 | + | 16.2578i | 0.320261 | + | 0.554709i | 0.980542 | − | 0.196310i | \(-0.0628959\pi\) |
−0.660280 | + | 0.751019i | \(0.729563\pi\) | |||||||
\(860\) | −0.225454 | −0.00768791 | ||||||||
\(861\) | 10.3987 | 0.354387 | ||||||||
\(862\) | −26.4822 | − | 45.8686i | −0.901988 | − | 1.56229i | ||||
\(863\) | 23.6557 | − | 40.9728i | 0.805248 | − | 1.39473i | −0.110875 | − | 0.993834i | \(-0.535365\pi\) |
0.916123 | − | 0.400897i | \(-0.131301\pi\) | |||||||
\(864\) | 6.03864 | + | 10.4592i | 0.205439 | + | 0.355830i | ||||
\(865\) | 17.6563 | 0.600333 | ||||||||
\(866\) | −48.5015 | −1.64815 | ||||||||
\(867\) | −6.50624 | − | 11.2691i | −0.220964 | − | 0.382720i | ||||
\(868\) | −20.7761 | −0.705185 | ||||||||
\(869\) | 76.6594 | 2.60049 | ||||||||
\(870\) | 11.4999 | − | 19.9183i | 0.389882 | − | 0.675295i | ||||
\(871\) | 34.5786 | − | 59.8919i | 1.17165 | − | 2.02936i | ||||
\(872\) | 17.4814 | + | 30.2788i | 0.591997 | + | 1.02537i | ||||
\(873\) | 4.51138 | + | 7.81394i | 0.152687 | + | 0.264462i | ||||
\(874\) | −61.2568 | + | 106.100i | −2.07204 | + | 3.58888i | ||||
\(875\) | −7.45072 | + | 12.9050i | −0.251880 | + | 0.436269i | ||||
\(876\) | −0.236167 | −0.00797935 | ||||||||
\(877\) | 47.3075 | 1.59746 | 0.798731 | − | 0.601689i | \(-0.205505\pi\) | ||||
0.798731 | + | 0.601689i | \(0.205505\pi\) | |||||||
\(878\) | −13.4716 | − | 23.3335i | −0.454644 | − | 0.787466i | ||||
\(879\) | 13.2424 | 0.446657 | ||||||||
\(880\) | 21.0756 | 0.710458 | ||||||||
\(881\) | −24.8450 | − | 43.0328i | −0.837049 | − | 1.44981i | −0.892351 | − | 0.451342i | \(-0.850945\pi\) |
0.0553014 | − | 0.998470i | \(-0.482388\pi\) | |||||||
\(882\) | −15.5767 | + | 26.9797i | −0.524496 | + | 0.908454i | ||||
\(883\) | −23.1091 | − | 40.0262i | −0.777684 | − | 1.34699i | −0.933273 | − | 0.359167i | \(-0.883061\pi\) |
0.155589 | − | 0.987822i | \(-0.450272\pi\) | |||||||
\(884\) | 10.4992 | 0.353127 | ||||||||
\(885\) | −0.553463 | −0.0186045 | ||||||||
\(886\) | 16.9908 | + | 29.4290i | 0.570818 | + | 0.988686i | ||||
\(887\) | 12.5207 | − | 21.6865i | 0.420404 | − | 0.728161i | −0.575575 | − | 0.817749i | \(-0.695222\pi\) |
0.995979 | + | 0.0895882i | \(0.0285551\pi\) | |||||||
\(888\) | −11.7902 | − | 20.4212i | −0.395652 | − | 0.685290i | ||||
\(889\) | −12.5401 | + | 21.7201i | −0.420582 | + | 0.728469i | ||||
\(890\) | 0.712095 | + | 1.23338i | 0.0238695 | + | 0.0413431i | ||||
\(891\) | −9.72997 | − | 16.8528i | −0.325966 | − | 0.564590i | ||||
\(892\) | 31.7264 | + | 54.9517i | 1.06228 | + | 1.83992i | ||||
\(893\) | −36.0773 | − | 62.4878i | −1.20728 | − | 2.09107i | ||||
\(894\) | −3.07681 | + | 5.32919i | −0.102904 | + | 0.178235i | ||||
\(895\) | 18.4295 | + | 31.9208i | 0.616030 | + | 1.06700i | ||||
\(896\) | −12.8512 | − | 22.2589i | −0.429328 | − | 0.743618i | ||||
\(897\) | −17.2606 | + | 29.8962i | −0.576315 | + | 0.998207i | ||||
\(898\) | 27.5774 | − | 47.7655i | 0.920270 | − | 1.59396i | ||||
\(899\) | −14.2229 | − | 24.6347i | −0.474360 | − | 0.821615i | ||||
\(900\) | −4.52634 | + | 7.83985i | −0.150878 | + | 0.261328i | ||||
\(901\) | 4.39596 | 0.146451 | ||||||||
\(902\) | −63.6723 | + | 110.284i | −2.12006 | + | 3.67205i | ||||
\(903\) | 0.0148646 | + | 0.0257462i | 0.000494662 | + | 0.000856779i | ||||
\(904\) | 15.3235 | − | 26.5411i | 0.509652 | − | 0.882742i | ||||
\(905\) | −9.29047 | − | 16.0916i | −0.308826 | − | 0.534902i | ||||
\(906\) | 0.626711 | + | 1.08550i | 0.0208211 | + | 0.0360632i | ||||
\(907\) | 8.04753 | + | 13.9387i | 0.267214 | + | 0.462828i | 0.968141 | − | 0.250404i | \(-0.0805636\pi\) |
−0.700927 | + | 0.713233i | \(0.747230\pi\) | |||||||
\(908\) | −20.1928 | −0.670123 | ||||||||
\(909\) | −20.4470 | + | 35.4152i | −0.678184 | + | 1.17465i | ||||
\(910\) | 16.3132 | + | 28.2552i | 0.540776 | + | 0.936652i | ||||
\(911\) | −47.0027 | −1.55727 | −0.778635 | − | 0.627477i | \(-0.784088\pi\) | ||||
−0.778635 | + | 0.627477i | \(0.784088\pi\) | |||||||
\(912\) | −5.32702 | − | 9.22666i | −0.176395 | − | 0.305525i | ||||
\(913\) | 2.37136 | − | 4.10731i | 0.0784804 | − | 0.135932i | ||||
\(914\) | −26.8563 | −0.888329 | ||||||||
\(915\) | 0.619854 | − | 1.07362i | 0.0204918 | − | 0.0354928i | ||||
\(916\) | −22.7133 | −0.750470 | ||||||||
\(917\) | −4.04816 | + | 7.01162i | −0.133682 | + | 0.231544i | ||||
\(918\) | −2.57732 | + | 4.46405i | −0.0850643 | + | 0.147336i | ||||
\(919\) | 17.1618 | − | 29.7252i | 0.566117 | − | 0.980543i | −0.430828 | − | 0.902434i | \(-0.641778\pi\) |
0.996945 | − | 0.0781089i | \(-0.0248882\pi\) | |||||||
\(920\) | −63.4798 | −2.09287 | ||||||||
\(921\) | −17.0183 | −0.560773 | ||||||||
\(922\) | −81.3108 | −2.67783 | ||||||||
\(923\) | 7.43181 | + | 12.8723i | 0.244621 | + | 0.423696i | ||||
\(924\) | −8.77962 | − | 15.2068i | −0.288828 | − | 0.500266i | ||||
\(925\) | −3.92387 | + | 6.79633i | −0.129016 | + | 0.223462i | ||||
\(926\) | −70.5026 | −2.31686 | ||||||||
\(927\) | 11.2028 | − | 19.4039i | 0.367949 | − | 0.637307i | ||||
\(928\) | 8.97181 | − | 15.5396i | 0.294514 | − | 0.510113i | ||||
\(929\) | 8.81432 | 0.289188 | 0.144594 | − | 0.989491i | \(-0.453812\pi\) | ||||
0.144594 | + | 0.989491i | \(0.453812\pi\) | |||||||
\(930\) | 8.41908 | + | 14.5823i | 0.276072 | + | 0.478172i | ||||
\(931\) | −17.5450 | + | 30.3889i | −0.575016 | + | 0.995956i | ||||
\(932\) | 95.5833 | 3.13093 | ||||||||
\(933\) | −1.92869 | − | 3.34058i | −0.0631424 | − | 0.109366i | ||||
\(934\) | 1.19612 | − | 2.07174i | 0.0391383 | − | 0.0677895i | ||||
\(935\) | −2.54952 | − | 4.41590i | −0.0833782 | − | 0.144415i | ||||
\(936\) | 26.4152 | + | 45.7524i | 0.863407 | + | 1.49546i | ||||
\(937\) | −12.2121 | −0.398953 | −0.199476 | − | 0.979903i | \(-0.563924\pi\) | ||||
−0.199476 | + | 0.979903i | \(0.563924\pi\) | |||||||
\(938\) | −18.4220 | − | 31.9078i | −0.601498 | − | 1.04183i | ||||
\(939\) | 10.7916 | + | 18.6916i | 0.352171 | + | 0.609977i | ||||
\(940\) | 41.0714 | − | 71.1378i | 1.33960 | − | 2.32026i | ||||
\(941\) | −2.44254 | + | 4.23061i | −0.0796246 | + | 0.137914i | −0.903088 | − | 0.429455i | \(-0.858706\pi\) |
0.823463 | + | 0.567369i | \(0.192039\pi\) | |||||||
\(942\) | 3.06303 | + | 5.30533i | 0.0997990 | + | 0.172857i | ||||
\(943\) | 43.1689 | − | 74.7706i | 1.40577 | − | 2.43487i | ||||
\(944\) | 0.761723 | 0.0247920 | ||||||||
\(945\) | −10.3686 | −0.337292 | ||||||||
\(946\) | −0.364069 | −0.0118369 | ||||||||
\(947\) | 32.3777 | 1.05213 | 0.526067 | − | 0.850443i | \(-0.323666\pi\) | ||||
0.526067 | + | 0.850443i | \(0.323666\pi\) | |||||||
\(948\) | 22.0584 | − | 38.2063i | 0.716425 | − | 1.24088i | ||||
\(949\) | 0.458691 | 0.0148897 | ||||||||
\(950\) | −7.87615 | + | 13.6419i | −0.255536 | + | 0.442601i | ||||
\(951\) | −6.63633 | + | 11.4945i | −0.215198 | + | 0.372733i | ||||
\(952\) | 1.27292 | − | 2.20476i | 0.0412556 | − | 0.0714568i | ||||
\(953\) | −22.9863 | + | 39.8135i | −0.744600 | + | 1.28969i | 0.205781 | + | 0.978598i | \(0.434027\pi\) |
−0.950381 | + | 0.311087i | \(0.899307\pi\) | |||||||
\(954\) | 24.2999 | + | 42.0886i | 0.786738 | + | 1.36267i | ||||
\(955\) | −9.75094 | −0.315533 | ||||||||
\(956\) | 1.95750 | + | 3.39049i | 0.0633100 | + | 0.109656i | ||||
\(957\) | 12.0207 | − | 20.8205i | 0.388574 | − | 0.673031i | ||||
\(958\) | 15.9207 | + | 27.5755i | 0.514374 | + | 0.890922i | ||||
\(959\) | 8.60869 | 0.277989 | ||||||||
\(960\) | −8.61502 | + | 14.9216i | −0.278048 | + | 0.481594i | ||||
\(961\) | −10.1748 | −0.328219 | ||||||||
\(962\) | 50.3123 | + | 87.1434i | 1.62213 | + | 2.80962i | ||||
\(963\) | 1.89634 | + | 3.28455i | 0.0611085 | + | 0.105843i | ||||
\(964\) | −3.22530 | + | 5.58638i | −0.103880 | + | 0.179925i | ||||
\(965\) | −6.09111 | + | 10.5501i | −0.196080 | + | 0.339620i | ||||
\(966\) | 9.19569 | + | 15.9274i | 0.295867 | + | 0.512456i | ||||
\(967\) | 9.63870 | 0.309960 | 0.154980 | − | 0.987918i | \(-0.450469\pi\) | ||||
0.154980 | + | 0.987918i | \(0.450469\pi\) | |||||||
\(968\) | 54.1084 | 1.73911 | ||||||||
\(969\) | −1.28882 | + | 2.23230i | −0.0414029 | + | 0.0717119i | ||||
\(970\) | −8.93680 | + | 15.4790i | −0.286943 | + | 0.497000i | ||||
\(971\) | 9.49202 | − | 16.4407i | 0.304613 | − | 0.527606i | −0.672562 | − | 0.740041i | \(-0.734806\pi\) |
0.977175 | + | 0.212435i | \(0.0681394\pi\) | |||||||
\(972\) | −57.3998 | −1.84110 | ||||||||
\(973\) | −11.0507 | + | 19.1404i | −0.354269 | + | 0.613612i | ||||
\(974\) | −4.82236 | − | 8.35258i | −0.154519 | − | 0.267634i | ||||
\(975\) | −2.21930 | + | 3.84394i | −0.0710744 | + | 0.123105i | ||||
\(976\) | −0.853096 | + | 1.47761i | −0.0273069 | + | 0.0472970i | ||||
\(977\) | −22.2579 | + | 38.5518i | −0.712093 | + | 1.23338i | 0.251977 | + | 0.967733i | \(0.418919\pi\) |
−0.964070 | + | 0.265649i | \(0.914414\pi\) | |||||||
\(978\) | −6.83202 | −0.218464 | ||||||||
\(979\) | 0.744347 | + | 1.28925i | 0.0237894 | + | 0.0412045i | ||||
\(980\) | −39.9475 | −1.27608 | ||||||||
\(981\) | 21.0504 | 0.672087 | ||||||||
\(982\) | 29.3869 | 0.937773 | ||||||||
\(983\) | 13.8901 | 0.443025 | 0.221512 | − | 0.975158i | \(-0.428901\pi\) | ||||
0.221512 | + | 0.975158i | \(0.428901\pi\) | |||||||
\(984\) | 16.6777 | + | 28.8866i | 0.531666 | + | 0.920872i | ||||
\(985\) | 21.7001 | − | 37.5857i | 0.691423 | − | 1.19758i | ||||
\(986\) | 7.65842 | 0.243894 | ||||||||
\(987\) | −10.8317 | −0.344775 | ||||||||
\(988\) | 65.3710 | + | 113.226i | 2.07973 | + | 3.60220i | ||||
\(989\) | 0.246833 | 0.00784884 | ||||||||
\(990\) | 28.1863 | − | 48.8202i | 0.895821 | − | 1.55161i | ||||
\(991\) | 16.9763 | − | 29.4039i | 0.539271 | − | 0.934045i | −0.459672 | − | 0.888089i | \(-0.652033\pi\) |
0.998943 | − | 0.0459564i | \(-0.0146335\pi\) | |||||||
\(992\) | 6.56828 | + | 11.3766i | 0.208543 | + | 0.361207i | ||||
\(993\) | −2.11183 | + | 3.65779i | −0.0670167 | + | 0.116076i | ||||
\(994\) | 7.91868 | 0.251165 | ||||||||
\(995\) | 32.6546 | 1.03522 | ||||||||
\(996\) | −1.36470 | − | 2.36372i | −0.0432421 | − | 0.0748974i | ||||
\(997\) | −1.73636 | − | 3.00747i | −0.0549912 | − | 0.0952476i | 0.837219 | − | 0.546867i | \(-0.184180\pi\) |
−0.892211 | + | 0.451620i | \(0.850846\pi\) | |||||||
\(998\) | −8.19911 | − | 14.2013i | −0.259538 | − | 0.449534i | ||||
\(999\) | −31.9784 | −1.01175 |
(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 | 349.2.c.a.122.4 | ✓ | 56 | |
349.226 | even | 3 | inner | 349.2.c.a.226.4 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
349.2.c.a.122.4 | ✓ | 56 | 1.1 | even | 1 | trivial | |
349.2.c.a.226.4 | yes | 56 | 349.226 | even | 3 | inner |