Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,3,Mod(7,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.h (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.76022764817\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 138.7 |
Dual form | 138.3.h.a.79.8 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.926113 | − | 1.06879i | 0.463056 | − | 0.534396i | ||||
\(3\) | 1.45709 | − | 0.936417i | 0.485698 | − | 0.312139i | ||||
\(4\) | −0.284630 | − | 1.97964i | −0.0711574 | − | 0.494911i | ||||
\(5\) | 4.69832 | − | 2.14565i | 0.939663 | − | 0.429130i | 0.114119 | − | 0.993467i | \(-0.463595\pi\) |
0.825544 | + | 0.564337i | \(0.190868\pi\) | |||||||
\(6\) | 0.348599 | − | 2.42456i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 1.48393 | + | 5.05379i | 0.211990 | + | 0.721971i | 0.994992 | + | 0.0999522i | \(0.0318690\pi\) |
−0.783003 | + | 0.622019i | \(0.786313\pi\) | |||||||
\(8\) | −2.37942 | − | 1.52916i | −0.297428 | − | 0.191145i | ||||
\(9\) | 1.24625 | − | 2.72890i | 0.138472 | − | 0.303211i | ||||
\(10\) | 2.05792 | − | 7.00863i | 0.205792 | − | 0.700863i | ||||
\(11\) | 1.33809 | − | 1.15946i | 0.121644 | − | 0.105406i | −0.591914 | − | 0.806001i | \(-0.701628\pi\) |
0.713559 | + | 0.700595i | \(0.247082\pi\) | |||||||
\(12\) | −2.26850 | − | 2.61799i | −0.189042 | − | 0.218166i | ||||
\(13\) | −11.1767 | − | 3.28179i | −0.859749 | − | 0.252445i | −0.177999 | − | 0.984031i | \(-0.556962\pi\) |
−0.681750 | + | 0.731586i | \(0.738781\pi\) | |||||||
\(14\) | 6.77574 | + | 3.09438i | 0.483981 | + | 0.221027i | ||||
\(15\) | 4.83667 | − | 7.52600i | 0.322444 | − | 0.501733i | ||||
\(16\) | −3.83797 | + | 1.12693i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −9.71450 | − | 1.39673i | −0.571441 | − | 0.0821608i | −0.149464 | − | 0.988767i | \(-0.547755\pi\) |
−0.421977 | + | 0.906606i | \(0.638664\pi\) | |||||||
\(18\) | −1.76246 | − | 3.85924i | −0.0979143 | − | 0.214402i | ||||
\(19\) | 9.43233 | − | 1.35616i | 0.496438 | − | 0.0713771i | 0.110452 | − | 0.993881i | \(-0.464770\pi\) |
0.385987 | + | 0.922504i | \(0.373861\pi\) | |||||||
\(20\) | −5.58490 | − | 8.69027i | −0.279245 | − | 0.434514i | ||||
\(21\) | 6.89468 | + | 5.97428i | 0.328318 | + | 0.284489i | ||||
\(22\) | − | 2.50393i | − | 0.113815i | ||||||
\(23\) | 20.9101 | + | 9.57950i | 0.909136 | + | 0.416500i | ||||
\(24\) | −4.89898 | −0.204124 | ||||||||
\(25\) | 1.09885 | − | 1.26815i | 0.0439542 | − | 0.0507258i | ||||
\(26\) | −13.8585 | + | 8.90630i | −0.533018 | + | 0.342550i | ||||
\(27\) | −0.739490 | − | 5.14326i | −0.0273885 | − | 0.190491i | ||||
\(28\) | 9.58234 | − | 4.37611i | 0.342226 | − | 0.156290i | ||||
\(29\) | −6.28278 | + | 43.6977i | −0.216648 | + | 1.50682i | 0.533644 | + | 0.845709i | \(0.320822\pi\) |
−0.750291 | + | 0.661107i | \(0.770087\pi\) | |||||||
\(30\) | −3.56442 | − | 12.1393i | −0.118814 | − | 0.404644i | ||||
\(31\) | −22.8567 | − | 14.6891i | −0.737312 | − | 0.473842i | 0.117308 | − | 0.993096i | \(-0.462574\pi\) |
−0.854620 | + | 0.519254i | \(0.826210\pi\) | |||||||
\(32\) | −2.34994 | + | 5.14566i | −0.0734357 | + | 0.160802i | ||||
\(33\) | 0.863982 | − | 2.94245i | 0.0261813 | − | 0.0891652i | ||||
\(34\) | −10.4895 | + | 9.08924i | −0.308516 | + | 0.267331i | ||||
\(35\) | 17.8156 | + | 20.5603i | 0.509018 | + | 0.587438i | ||||
\(36\) | −5.75696 | − | 1.69040i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −28.2773 | − | 12.9138i | −0.764251 | − | 0.349022i | −0.00514309 | − | 0.999987i | \(-0.501637\pi\) |
−0.759108 | + | 0.650965i | \(0.774364\pi\) | |||||||
\(38\) | 7.28595 | − | 11.3372i | 0.191735 | − | 0.298346i | ||||
\(39\) | −19.3587 | + | 5.68422i | −0.496376 | + | 0.145749i | ||||
\(40\) | −14.4603 | − | 2.07908i | −0.361508 | − | 0.0519771i | ||||
\(41\) | 28.6907 | + | 62.8238i | 0.699772 | + | 1.53229i | 0.840247 | + | 0.542203i | \(0.182410\pi\) |
−0.140475 | + | 0.990084i | \(0.544863\pi\) | |||||||
\(42\) | 12.7705 | − | 1.83612i | 0.304060 | − | 0.0437172i | ||||
\(43\) | 7.93792 | + | 12.3517i | 0.184603 | + | 0.287248i | 0.921204 | − | 0.389080i | \(-0.127207\pi\) |
−0.736601 | + | 0.676327i | \(0.763571\pi\) | |||||||
\(44\) | −2.67618 | − | 2.31892i | −0.0608222 | − | 0.0527028i | ||||
\(45\) | − | 15.4952i | − | 0.344338i | ||||||
\(46\) | 29.6036 | − | 13.4769i | 0.643557 | − | 0.292975i | ||||
\(47\) | 12.7189 | 0.270616 | 0.135308 | − | 0.990804i | \(-0.456798\pi\) | ||||
0.135308 | + | 0.990804i | \(0.456798\pi\) | |||||||
\(48\) | −4.53701 | + | 5.23599i | −0.0945210 | + | 0.109083i | ||||
\(49\) | 17.8826 | − | 11.4925i | 0.364951 | − | 0.234540i | ||||
\(50\) | −0.337720 | − | 2.34889i | −0.00675439 | − | 0.0469778i | ||||
\(51\) | −15.4629 | + | 7.06165i | −0.303193 | + | 0.138464i | ||||
\(52\) | −3.31553 | + | 23.0600i | −0.0637603 | + | 0.443462i | ||||
\(53\) | 10.6235 | + | 36.1803i | 0.200443 | + | 0.682647i | 0.996952 | + | 0.0780195i | \(0.0248597\pi\) |
−0.796509 | + | 0.604627i | \(0.793322\pi\) | |||||||
\(54\) | −6.18193 | − | 3.97288i | −0.114480 | − | 0.0735719i | ||||
\(55\) | 3.79897 | − | 8.31858i | 0.0690722 | − | 0.151247i | ||||
\(56\) | 4.19718 | − | 14.2943i | 0.0749497 | − | 0.255255i | ||||
\(57\) | 12.4739 | − | 10.8087i | 0.218840 | − | 0.189626i | ||||
\(58\) | 40.8851 | + | 47.1840i | 0.704916 | + | 0.813517i | ||||
\(59\) | −42.8710 | − | 12.5881i | −0.726627 | − | 0.213357i | −0.102559 | − | 0.994727i | \(-0.532703\pi\) |
−0.624068 | + | 0.781370i | \(0.714521\pi\) | |||||||
\(60\) | −16.2754 | − | 7.43275i | −0.271257 | − | 0.123879i | ||||
\(61\) | −38.9315 | + | 60.5786i | −0.638221 | + | 0.993091i | 0.359970 | + | 0.932964i | \(0.382787\pi\) |
−0.998191 | + | 0.0601271i | \(0.980849\pi\) | |||||||
\(62\) | −36.8674 | + | 10.8253i | −0.594636 | + | 0.174601i | ||||
\(63\) | 15.6406 | + | 2.24878i | 0.248264 | + | 0.0356949i | ||||
\(64\) | 3.32332 | + | 7.27706i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −59.5534 | + | 8.56249i | −0.916206 | + | 0.131731i | ||||
\(66\) | −2.34472 | − | 3.64846i | −0.0355261 | − | 0.0552797i | ||||
\(67\) | −30.7485 | − | 26.6437i | −0.458933 | − | 0.397668i | 0.394479 | − | 0.918905i | \(-0.370925\pi\) |
−0.853412 | + | 0.521237i | \(0.825471\pi\) | |||||||
\(68\) | 19.6288i | 0.288659i | ||||||||
\(69\) | 39.4384 | − | 5.62237i | 0.571571 | − | 0.0814836i | ||||
\(70\) | 38.4740 | 0.549629 | ||||||||
\(71\) | 20.2185 | − | 23.3334i | 0.284768 | − | 0.328639i | −0.595286 | − | 0.803514i | \(-0.702961\pi\) |
0.880053 | + | 0.474875i | \(0.157507\pi\) | |||||||
\(72\) | −7.13827 | + | 4.58749i | −0.0991427 | + | 0.0637151i | ||||
\(73\) | −10.7362 | − | 74.6718i | −0.147071 | − | 1.02290i | −0.920981 | − | 0.389607i | \(-0.872611\pi\) |
0.773910 | − | 0.633295i | \(-0.218298\pi\) | |||||||
\(74\) | −39.9901 | + | 18.2629i | −0.540407 | + | 0.246796i | ||||
\(75\) | 0.413620 | − | 2.87679i | 0.00551494 | − | 0.0383572i | ||||
\(76\) | −5.36944 | − | 18.2866i | −0.0706505 | − | 0.240614i | ||||
\(77\) | 7.84530 | + | 5.04187i | 0.101887 | + | 0.0654788i | ||||
\(78\) | −11.8531 | + | 25.9546i | −0.151963 | + | 0.332751i | ||||
\(79\) | 42.4878 | − | 144.700i | 0.537820 | − | 1.83165i | −0.0172621 | − | 0.999851i | \(-0.505495\pi\) |
0.555082 | − | 0.831796i | \(-0.312687\pi\) | |||||||
\(80\) | −15.6140 | + | 13.5296i | −0.195175 | + | 0.169120i | ||||
\(81\) | −5.89375 | − | 6.80175i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 93.7163 | + | 27.5176i | 1.14288 | + | 0.335580i | ||||
\(83\) | 39.0161 | + | 17.8180i | 0.470073 | + | 0.214675i | 0.636345 | − | 0.771405i | \(-0.280446\pi\) |
−0.166272 | + | 0.986080i | \(0.553173\pi\) | |||||||
\(84\) | 9.86450 | − | 15.3495i | 0.117435 | − | 0.182732i | ||||
\(85\) | −48.6387 | + | 14.2816i | −0.572220 | + | 0.168019i | ||||
\(86\) | 20.5528 | + | 2.95504i | 0.238986 | + | 0.0343609i | ||||
\(87\) | 31.7647 | + | 69.5549i | 0.365111 | + | 0.799482i | ||||
\(88\) | −4.95689 | + | 0.712693i | −0.0563283 | + | 0.00809878i | ||||
\(89\) | −58.2826 | − | 90.6895i | −0.654861 | − | 1.01898i | −0.996852 | − | 0.0792805i | \(-0.974738\pi\) |
0.341991 | − | 0.939703i | \(-0.388899\pi\) | |||||||
\(90\) | −16.5612 | − | 14.3503i | −0.184013 | − | 0.159448i | ||||
\(91\) | − | 61.3549i | − | 0.674229i | ||||||
\(92\) | 13.0124 | − | 44.1212i | 0.141439 | − | 0.479578i | ||||
\(93\) | −47.0594 | −0.506015 | ||||||||
\(94\) | 11.7792 | − | 13.5939i | 0.125310 | − | 0.144616i | ||||
\(95\) | 41.4062 | − | 26.6102i | 0.435855 | − | 0.280107i | ||||
\(96\) | 1.39439 | + | 9.69823i | 0.0145249 | + | 0.101023i | ||||
\(97\) | −20.8578 | + | 9.52543i | −0.215029 | + | 0.0982003i | −0.520017 | − | 0.854156i | \(-0.674075\pi\) |
0.304989 | + | 0.952356i | \(0.401347\pi\) | |||||||
\(98\) | 4.27828 | − | 29.7561i | 0.0436559 | − | 0.303634i | ||||
\(99\) | −1.49646 | − | 5.09648i | −0.0151158 | − | 0.0514796i | ||||
\(100\) | −2.82324 | − | 1.81439i | −0.0282324 | − | 0.0181439i | ||||
\(101\) | 39.9595 | − | 87.4991i | 0.395639 | − | 0.866328i | −0.602055 | − | 0.798454i | \(-0.705651\pi\) |
0.997694 | − | 0.0678735i | \(-0.0216214\pi\) | |||||||
\(102\) | −6.77292 | + | 23.0665i | −0.0664012 | + | 0.226142i | ||||
\(103\) | −2.14938 | + | 1.86245i | −0.0208678 | + | 0.0180821i | −0.665232 | − | 0.746637i | \(-0.731667\pi\) |
0.644364 | + | 0.764719i | \(0.277122\pi\) | |||||||
\(104\) | 21.5758 | + | 24.8998i | 0.207460 | + | 0.239421i | ||||
\(105\) | 45.2121 | + | 13.2755i | 0.430592 | + | 0.126433i | ||||
\(106\) | 48.5077 | + | 22.1527i | 0.457620 | + | 0.208988i | ||||
\(107\) | 60.3917 | − | 93.9714i | 0.564409 | − | 0.878237i | −0.435349 | − | 0.900262i | \(-0.643375\pi\) |
0.999757 | + | 0.0220249i | \(0.00701129\pi\) | |||||||
\(108\) | −9.97134 | + | 2.92785i | −0.0923273 | + | 0.0271097i | ||||
\(109\) | −77.0498 | − | 11.0781i | −0.706878 | − | 0.101634i | −0.220506 | − | 0.975386i | \(-0.570771\pi\) |
−0.486372 | + | 0.873752i | \(0.661680\pi\) | |||||||
\(110\) | −5.37256 | − | 11.7643i | −0.0488414 | − | 0.106948i | ||||
\(111\) | −53.2953 | + | 7.66271i | −0.480138 | + | 0.0690335i | ||||
\(112\) | −11.3905 | − | 17.7240i | −0.101701 | − | 0.158250i | ||||
\(113\) | −96.9713 | − | 84.0261i | −0.858153 | − | 0.743594i | 0.110006 | − | 0.993931i | \(-0.464913\pi\) |
−0.968159 | + | 0.250337i | \(0.919458\pi\) | |||||||
\(114\) | − | 23.3420i | − | 0.204754i | ||||||
\(115\) | 118.797 | + | 0.141742i | 1.03301 | + | 0.00123254i | ||||
\(116\) | 88.2941 | 0.761156 | ||||||||
\(117\) | −22.8846 | + | 26.4102i | −0.195595 | + | 0.225729i | ||||
\(118\) | −53.1574 | + | 34.1622i | −0.450486 | + | 0.289510i | ||||
\(119\) | −7.35681 | − | 51.1677i | −0.0618219 | − | 0.429981i | ||||
\(120\) | −23.0170 | + | 10.5115i | −0.191808 | + | 0.0875958i | ||||
\(121\) | −16.7740 | + | 116.665i | −0.138628 | + | 0.964177i | ||||
\(122\) | 28.6909 | + | 97.7122i | 0.235171 | + | 0.800920i | ||||
\(123\) | 100.634 | + | 64.6737i | 0.818165 | + | 0.525803i | ||||
\(124\) | −22.5735 | + | 49.4290i | −0.182044 | + | 0.398621i | ||||
\(125\) | −33.9375 | + | 115.580i | −0.271500 | + | 0.924643i | ||||
\(126\) | 16.8885 | − | 14.6339i | 0.134035 | − | 0.116142i | ||||
\(127\) | −18.3267 | − | 21.1502i | −0.144305 | − | 0.166537i | 0.678996 | − | 0.734142i | \(-0.262415\pi\) |
−0.823301 | + | 0.567605i | \(0.807870\pi\) | |||||||
\(128\) | 10.8554 | + | 3.18744i | 0.0848080 | + | 0.0249019i | ||||
\(129\) | 23.1326 | + | 10.5643i | 0.179323 | + | 0.0818938i | ||||
\(130\) | −46.0017 | + | 71.5800i | −0.353859 | + | 0.550615i | ||||
\(131\) | 140.559 | − | 41.2718i | 1.07297 | − | 0.315052i | 0.302906 | − | 0.953020i | \(-0.402043\pi\) |
0.770062 | + | 0.637969i | \(0.220225\pi\) | |||||||
\(132\) | −6.07092 | − | 0.872867i | −0.0459918 | − | 0.00661263i | ||||
\(133\) | 20.8507 | + | 45.6566i | 0.156772 | + | 0.343283i | ||||
\(134\) | −56.9532 | + | 8.18863i | −0.425024 | + | 0.0611092i | ||||
\(135\) | −14.5100 | − | 22.5780i | −0.107481 | − | 0.167244i | ||||
\(136\) | 20.9791 | + | 18.1785i | 0.154258 | + | 0.133665i | ||||
\(137\) | − | 221.153i | − | 1.61426i | −0.590377 | − | 0.807128i | \(-0.701021\pi\) | ||
0.590377 | − | 0.807128i | \(-0.298979\pi\) | |||||||
\(138\) | 30.5153 | − | 47.3584i | 0.221125 | − | 0.343177i | ||||
\(139\) | −82.0604 | −0.590362 | −0.295181 | − | 0.955441i | \(-0.595380\pi\) | ||||
−0.295181 | + | 0.955441i | \(0.595380\pi\) | |||||||
\(140\) | 35.6313 | − | 41.1207i | 0.254509 | − | 0.293719i | ||||
\(141\) | 18.5327 | − | 11.9102i | 0.131438 | − | 0.0844698i | ||||
\(142\) | −6.21391 | − | 43.2187i | −0.0437599 | − | 0.304357i | ||||
\(143\) | −18.7606 | + | 8.56767i | −0.131193 | + | 0.0599138i | ||||
\(144\) | −1.70778 | + | 11.8779i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | 64.2414 | + | 218.786i | 0.443044 | + | 1.50887i | ||||
\(146\) | −89.7515 | − | 57.6798i | −0.614736 | − | 0.395067i | ||||
\(147\) | 15.2949 | − | 33.4912i | 0.104047 | − | 0.227831i | ||||
\(148\) | −17.5162 | + | 59.6546i | −0.118352 | + | 0.403071i | ||||
\(149\) | −17.6689 | + | 15.3102i | −0.118583 | + | 0.102753i | −0.712134 | − | 0.702044i | \(-0.752271\pi\) |
0.593551 | + | 0.804797i | \(0.297726\pi\) | |||||||
\(150\) | −2.69163 | − | 3.10631i | −0.0179442 | − | 0.0207087i | ||||
\(151\) | 231.710 | + | 68.0363i | 1.53450 | + | 0.450571i | 0.936426 | − | 0.350866i | \(-0.114113\pi\) |
0.598079 | + | 0.801437i | \(0.295931\pi\) | |||||||
\(152\) | −24.5173 | − | 11.1967i | −0.161298 | − | 0.0736624i | ||||
\(153\) | −15.9182 | + | 24.7692i | −0.104040 | + | 0.161890i | ||||
\(154\) | 12.6543 | − | 3.71565i | 0.0821711 | − | 0.0241276i | ||||
\(155\) | −138.906 | − | 19.9716i | −0.896165 | − | 0.128849i | ||||
\(156\) | 16.7628 | + | 36.7054i | 0.107454 | + | 0.235291i | ||||
\(157\) | −291.637 | + | 41.9310i | −1.85756 | + | 0.267077i | −0.977984 | − | 0.208682i | \(-0.933083\pi\) |
−0.879576 | + | 0.475759i | \(0.842174\pi\) | |||||||
\(158\) | −115.306 | − | 179.419i | −0.729783 | − | 1.13556i | ||||
\(159\) | 49.3592 | + | 42.7700i | 0.310436 | + | 0.268994i | ||||
\(160\) | 29.2181i | 0.182613i | ||||||||
\(161\) | −17.3837 | + | 119.891i | −0.107973 | + | 0.744663i | ||||
\(162\) | −12.7279 | −0.0785674 | ||||||||
\(163\) | −120.229 | + | 138.752i | −0.737602 | + | 0.851238i | −0.993306 | − | 0.115517i | \(-0.963148\pi\) |
0.255703 | + | 0.966755i | \(0.417693\pi\) | |||||||
\(164\) | 116.202 | − | 74.6788i | 0.708551 | − | 0.455358i | ||||
\(165\) | −2.25421 | − | 15.6784i | −0.0136619 | − | 0.0950205i | ||||
\(166\) | 55.1771 | − | 25.1985i | 0.332392 | − | 0.151798i | ||||
\(167\) | −7.24905 | + | 50.4182i | −0.0434075 | + | 0.301905i | 0.956539 | + | 0.291603i | \(0.0941886\pi\) |
−0.999947 | + | 0.0103026i | \(0.996721\pi\) | |||||||
\(168\) | −7.26973 | − | 24.7584i | −0.0432722 | − | 0.147372i | ||||
\(169\) | −28.0225 | − | 18.0090i | −0.165814 | − | 0.106562i | ||||
\(170\) | −29.7809 | + | 65.2110i | −0.175182 | + | 0.383594i | ||||
\(171\) | 8.05416 | − | 27.4300i | 0.0471004 | − | 0.160409i | ||||
\(172\) | 22.1925 | − | 19.2299i | 0.129026 | − | 0.111802i | ||||
\(173\) | 14.0669 | + | 16.2340i | 0.0813114 | + | 0.0938384i | 0.794947 | − | 0.606678i | \(-0.207498\pi\) |
−0.713636 | + | 0.700517i | \(0.752953\pi\) | |||||||
\(174\) | 103.757 | + | 30.4659i | 0.596307 | + | 0.175091i | ||||
\(175\) | 8.03957 | + | 3.67155i | 0.0459404 | + | 0.0209803i | ||||
\(176\) | −3.82892 | + | 5.95791i | −0.0217552 | + | 0.0338518i | ||||
\(177\) | −74.2547 | + | 21.8032i | −0.419518 | + | 0.123182i | ||||
\(178\) | −150.904 | − | 21.6968i | −0.847778 | − | 0.121892i | ||||
\(179\) | 64.0658 | + | 140.285i | 0.357910 | + | 0.783713i | 0.999856 | + | 0.0169634i | \(0.00539986\pi\) |
−0.641946 | + | 0.766749i | \(0.721873\pi\) | |||||||
\(180\) | −30.6750 | + | 4.41040i | −0.170417 | + | 0.0245022i | ||||
\(181\) | 84.1022 | + | 130.866i | 0.464653 | + | 0.723014i | 0.991945 | − | 0.126670i | \(-0.0404290\pi\) |
−0.527292 | + | 0.849684i | \(0.676793\pi\) | |||||||
\(182\) | −65.5756 | − | 56.8215i | −0.360305 | − | 0.312206i | ||||
\(183\) | 124.725i | 0.681556i | ||||||||
\(184\) | −35.1054 | − | 54.7687i | −0.190790 | − | 0.297656i | ||||
\(185\) | −160.564 | −0.867914 | ||||||||
\(186\) | −43.5824 | + | 50.2967i | −0.234314 | + | 0.270412i | ||||
\(187\) | −14.6183 | + | 9.39463i | −0.0781728 | + | 0.0502386i | ||||
\(188\) | −3.62019 | − | 25.1790i | −0.0192563 | − | 0.133931i | ||||
\(189\) | 24.8956 | − | 11.3695i | 0.131723 | − | 0.0601559i | ||||
\(190\) | 9.90613 | − | 68.8986i | 0.0521375 | − | 0.362624i | ||||
\(191\) | 46.3104 | + | 157.719i | 0.242463 | + | 0.825753i | 0.987349 | + | 0.158561i | \(0.0506856\pi\) |
−0.744886 | + | 0.667192i | \(0.767496\pi\) | |||||||
\(192\) | 11.6568 | + | 7.49134i | 0.0607122 | + | 0.0390174i | ||||
\(193\) | −116.892 | + | 255.957i | −0.605657 | + | 1.32620i | 0.319848 | + | 0.947469i | \(0.396368\pi\) |
−0.925505 | + | 0.378735i | \(0.876359\pi\) | |||||||
\(194\) | −9.13597 | + | 31.1142i | −0.0470926 | + | 0.160383i | ||||
\(195\) | −78.7569 | + | 68.2432i | −0.403881 | + | 0.349965i | ||||
\(196\) | −27.8409 | − | 32.1301i | −0.142045 | − | 0.163929i | ||||
\(197\) | 241.277 | + | 70.8454i | 1.22476 | + | 0.359621i | 0.829269 | − | 0.558849i | \(-0.188757\pi\) |
0.395489 | + | 0.918471i | \(0.370575\pi\) | |||||||
\(198\) | −6.83296 | − | 3.12051i | −0.0345099 | − | 0.0157602i | ||||
\(199\) | 90.2376 | − | 140.412i | 0.453455 | − | 0.705590i | −0.536976 | − | 0.843598i | \(-0.680433\pi\) |
0.990431 | + | 0.138007i | \(0.0440698\pi\) | |||||||
\(200\) | −4.55384 | + | 1.33713i | −0.0227692 | + | 0.00668564i | ||||
\(201\) | −69.7531 | − | 10.0290i | −0.347030 | − | 0.0498954i | ||||
\(202\) | −56.5113 | − | 123.742i | −0.279759 | − | 0.612586i | ||||
\(203\) | −230.162 | + | 33.0923i | −1.13380 | + | 0.163016i | ||||
\(204\) | 18.3807 | + | 28.6010i | 0.0901017 | + | 0.140201i | ||||
\(205\) | 269.596 | + | 233.606i | 1.31510 | + | 1.13954i | ||||
\(206\) | 4.02209i | 0.0195247i | ||||||||
\(207\) | 52.2006 | − | 45.1231i | 0.252177 | − | 0.217986i | ||||
\(208\) | 46.5943 | 0.224011 | ||||||||
\(209\) | 11.0489 | − | 12.7511i | 0.0528654 | − | 0.0610100i | ||||
\(210\) | 56.0602 | − | 36.0277i | 0.266954 | − | 0.171561i | ||||
\(211\) | −53.9343 | − | 375.121i | −0.255613 | − | 1.77782i | −0.563216 | − | 0.826310i | \(-0.690436\pi\) |
0.307603 | − | 0.951515i | \(-0.400473\pi\) | |||||||
\(212\) | 68.6003 | − | 31.3287i | 0.323586 | − | 0.147777i | ||||
\(213\) | 7.61046 | − | 52.9319i | 0.0357298 | − | 0.248507i | ||||
\(214\) | −44.5062 | − | 151.574i | −0.207973 | − | 0.708291i | ||||
\(215\) | 63.7972 | + | 41.0000i | 0.296731 | + | 0.190698i | ||||
\(216\) | −6.10533 | + | 13.3688i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | 40.3180 | − | 137.311i | 0.185797 | − | 0.632767i | ||||
\(218\) | −83.1969 | + | 72.0905i | −0.381637 | + | 0.330691i | ||||
\(219\) | −85.5676 | − | 98.7503i | −0.390720 | − | 0.450915i | ||||
\(220\) | −17.5491 | − | 5.15289i | −0.0797688 | − | 0.0234222i | ||||
\(221\) | 103.993 | + | 47.4918i | 0.470555 | + | 0.214895i | ||||
\(222\) | −41.1677 | + | 64.0581i | −0.185440 | + | 0.288550i | ||||
\(223\) | 352.673 | − | 103.554i | 1.58149 | − | 0.464368i | 0.631172 | − | 0.775643i | \(-0.282574\pi\) |
0.950320 | + | 0.311275i | \(0.100756\pi\) | |||||||
\(224\) | −29.4922 | − | 4.24034i | −0.131662 | − | 0.0189301i | ||||
\(225\) | −2.09120 | − | 4.57908i | −0.00929420 | − | 0.0203515i | ||||
\(226\) | −179.613 | + | 25.8244i | −0.794746 | + | 0.114267i | ||||
\(227\) | −142.941 | − | 222.421i | −0.629696 | − | 0.979826i | −0.998729 | − | 0.0504096i | \(-0.983947\pi\) |
0.369033 | − | 0.929416i | \(-0.379689\pi\) | |||||||
\(228\) | −24.9477 | − | 21.6173i | −0.109420 | − | 0.0948128i | ||||
\(229\) | − | 359.267i | − | 1.56885i | −0.620222 | − | 0.784426i | \(-0.712958\pi\) | ||
0.620222 | − | 0.784426i | \(-0.287042\pi\) | |||||||
\(230\) | 110.171 | − | 126.838i | 0.479003 | − | 0.551468i | ||||
\(231\) | 16.1526 | 0.0699249 | ||||||||
\(232\) | 81.7703 | − | 94.3679i | 0.352458 | − | 0.406758i | ||||
\(233\) | 260.561 | − | 167.452i | 1.11829 | − | 0.718678i | 0.155202 | − | 0.987883i | \(-0.450397\pi\) |
0.963083 | + | 0.269204i | \(0.0867607\pi\) | |||||||
\(234\) | 7.03331 | + | 48.9177i | 0.0300569 | + | 0.209050i | ||||
\(235\) | 59.7576 | − | 27.2904i | 0.254288 | − | 0.116129i | ||||
\(236\) | −12.7175 | + | 88.4522i | −0.0538877 | + | 0.374797i | ||||
\(237\) | −73.5910 | − | 250.628i | −0.310510 | − | 1.05750i | ||||
\(238\) | −61.5009 | − | 39.5242i | −0.258407 | − | 0.166068i | ||||
\(239\) | −135.825 | + | 297.416i | −0.568306 | + | 1.24442i | 0.379388 | + | 0.925237i | \(0.376134\pi\) |
−0.947694 | + | 0.319179i | \(0.896593\pi\) | |||||||
\(240\) | −10.0817 | + | 34.3352i | −0.0420071 | + | 0.143063i | ||||
\(241\) | 142.390 | − | 123.382i | 0.590830 | − | 0.511957i | −0.307344 | − | 0.951599i | \(-0.599440\pi\) |
0.898173 | + | 0.439642i | \(0.144895\pi\) | |||||||
\(242\) | 109.156 | + | 125.973i | 0.451060 | + | 0.520551i | ||||
\(243\) | −14.9570 | − | 4.39178i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | 131.005 | + | 59.8280i | 0.536906 | + | 0.245197i | ||||
\(245\) | 59.3594 | − | 92.3651i | 0.242283 | − | 0.377000i | ||||
\(246\) | 162.321 | − | 47.6619i | 0.659843 | − | 0.193747i | ||||
\(247\) | −109.873 | − | 15.7974i | −0.444831 | − | 0.0639571i | ||||
\(248\) | 31.9237 | + | 69.9032i | 0.128725 | + | 0.281868i | ||||
\(249\) | 73.5352 | − | 10.5728i | 0.295322 | − | 0.0424609i | ||||
\(250\) | 92.1014 | + | 143.313i | 0.368406 | + | 0.573250i | ||||
\(251\) | −44.8846 | − | 38.8928i | −0.178823 | − | 0.154951i | 0.560850 | − | 0.827917i | \(-0.310474\pi\) |
−0.739673 | + | 0.672966i | \(0.765020\pi\) | |||||||
\(252\) | − | 31.6029i | − | 0.125408i | ||||||
\(253\) | 39.0867 | − | 11.4262i | 0.154493 | − | 0.0451630i | ||||
\(254\) | −39.5778 | −0.155818 | ||||||||
\(255\) | −57.4976 | + | 66.3558i | −0.225481 | + | 0.260219i | ||||
\(256\) | 13.4601 | − | 8.65025i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −42.5056 | − | 295.633i | −0.165391 | − | 1.15032i | −0.888261 | − | 0.459339i | \(-0.848086\pi\) |
0.722870 | − | 0.690984i | \(-0.242823\pi\) | |||||||
\(258\) | 32.7144 | − | 14.9402i | 0.126800 | − | 0.0579077i | ||||
\(259\) | 23.3022 | − | 162.071i | 0.0899701 | − | 0.625756i | ||||
\(260\) | 33.9013 | + | 115.457i | 0.130390 | + | 0.444067i | ||||
\(261\) | 111.417 | + | 71.6031i | 0.426883 | + | 0.274341i | ||||
\(262\) | 86.0624 | − | 188.450i | 0.328483 | − | 0.719276i | ||||
\(263\) | −73.5371 | + | 250.444i | −0.279609 | + | 0.952260i | 0.693218 | + | 0.720728i | \(0.256192\pi\) |
−0.972827 | + | 0.231532i | \(0.925626\pi\) | |||||||
\(264\) | −6.55527 | + | 5.68017i | −0.0248306 | + | 0.0215158i | ||||
\(265\) | 127.543 | + | 147.192i | 0.481293 | + | 0.555442i | ||||
\(266\) | 68.1075 | + | 19.9982i | 0.256043 | + | 0.0751810i | ||||
\(267\) | −169.847 | − | 77.5663i | −0.636129 | − | 0.290510i | ||||
\(268\) | −43.9931 | + | 68.4546i | −0.164153 | + | 0.255428i | ||||
\(269\) | 307.612 | − | 90.3229i | 1.14354 | − | 0.335773i | 0.345523 | − | 0.938410i | \(-0.387702\pi\) |
0.798015 | + | 0.602637i | \(0.205883\pi\) | |||||||
\(270\) | −37.5691 | − | 5.40162i | −0.139145 | − | 0.0200060i | ||||
\(271\) | 209.571 | + | 458.897i | 0.773326 | + | 1.69335i | 0.719190 | + | 0.694813i | \(0.244513\pi\) |
0.0541356 | + | 0.998534i | \(0.482760\pi\) | |||||||
\(272\) | 38.8580 | − | 5.58694i | 0.142860 | − | 0.0205402i | ||||
\(273\) | −57.4538 | − | 89.3998i | −0.210453 | − | 0.327472i | ||||
\(274\) | −236.366 | − | 204.813i | −0.862651 | − | 0.747491i | ||||
\(275\) | − | 2.97097i | − | 0.0108035i | ||||||
\(276\) | −22.3556 | − | 76.4737i | −0.0809986 | − | 0.277079i | ||||
\(277\) | −43.5771 | −0.157318 | −0.0786590 | − | 0.996902i | \(-0.525064\pi\) | ||||
−0.0786590 | + | 0.996902i | \(0.525064\pi\) | |||||||
\(278\) | −75.9972 | + | 87.7054i | −0.273371 | + | 0.315487i | ||||
\(279\) | −68.5700 | + | 44.0673i | −0.245771 | + | 0.157947i | ||||
\(280\) | −10.9508 | − | 76.1648i | −0.0391102 | − | 0.272017i | ||||
\(281\) | 65.6547 | − | 29.9835i | 0.233646 | − | 0.106703i | −0.295152 | − | 0.955450i | \(-0.595370\pi\) |
0.528798 | + | 0.848748i | \(0.322643\pi\) | |||||||
\(282\) | 4.43381 | − | 30.8378i | 0.0157227 | − | 0.109354i | ||||
\(283\) | −117.258 | − | 399.344i | −0.414339 | − | 1.41111i | −0.857416 | − | 0.514625i | \(-0.827931\pi\) |
0.443077 | − | 0.896484i | \(-0.353887\pi\) | |||||||
\(284\) | −51.9466 | − | 33.3840i | −0.182910 | − | 0.117549i | ||||
\(285\) | 35.4145 | − | 77.5470i | 0.124262 | − | 0.272095i | ||||
\(286\) | −8.21736 | + | 27.9858i | −0.0287320 | + | 0.0978523i | ||||
\(287\) | −274.924 | + | 238.223i | −0.957922 | + | 0.830044i | ||||
\(288\) | 11.1134 | + | 12.8255i | 0.0385880 | + | 0.0445330i | ||||
\(289\) | −184.873 | − | 54.2836i | −0.639698 | − | 0.187832i | ||||
\(290\) | 293.332 | + | 133.960i | 1.01149 | + | 0.461931i | ||||
\(291\) | −21.4720 | + | 33.4110i | −0.0737868 | + | 0.114815i | ||||
\(292\) | −144.768 | + | 42.5076i | −0.495780 | + | 0.145574i | ||||
\(293\) | −193.651 | − | 27.8428i | −0.660924 | − | 0.0950265i | −0.196313 | − | 0.980541i | \(-0.562897\pi\) |
−0.464611 | + | 0.885515i | \(0.653806\pi\) | |||||||
\(294\) | −21.6303 | − | 47.3637i | −0.0735724 | − | 0.161101i | ||||
\(295\) | −228.431 | + | 32.8434i | −0.774343 | + | 0.111334i | ||||
\(296\) | 47.5363 | + | 73.9680i | 0.160596 | + | 0.249892i | ||||
\(297\) | −6.95291 | − | 6.02473i | −0.0234105 | − | 0.0202853i | ||||
\(298\) | 33.0634i | 0.110951i | ||||||||
\(299\) | −202.269 | − | 175.690i | −0.676485 | − | 0.587592i | ||||
\(300\) | −5.81275 | −0.0193758 | ||||||||
\(301\) | −50.6434 | + | 58.4456i | −0.168251 | + | 0.194171i | ||||
\(302\) | 287.306 | − | 184.641i | 0.951346 | − | 0.611393i | ||||
\(303\) | −23.7109 | − | 164.913i | −0.0782539 | − | 0.544268i | ||||
\(304\) | −34.6727 | + | 15.8345i | −0.114055 | + | 0.0520872i | ||||
\(305\) | −52.9321 | + | 368.151i | −0.173548 | + | 1.20705i | ||||
\(306\) | 11.7310 | + | 39.9523i | 0.0383368 | + | 0.130563i | ||||
\(307\) | −262.518 | − | 168.710i | −0.855108 | − | 0.549545i | 0.0380560 | − | 0.999276i | \(-0.487883\pi\) |
−0.893164 | + | 0.449731i | \(0.851520\pi\) | |||||||
\(308\) | 7.74810 | − | 16.9660i | 0.0251562 | − | 0.0550843i | ||||
\(309\) | −1.38782 | + | 4.72649i | −0.00449134 | + | 0.0152961i | ||||
\(310\) | −149.988 | + | 129.965i | −0.483831 | + | 0.419242i | ||||
\(311\) | 244.704 | + | 282.404i | 0.786831 | + | 0.908051i | 0.997583 | − | 0.0694885i | \(-0.0221367\pi\) |
−0.210752 | + | 0.977540i | \(0.567591\pi\) | |||||||
\(312\) | 54.7546 | + | 16.0774i | 0.175496 | + | 0.0515301i | ||||
\(313\) | 416.211 | + | 190.077i | 1.32975 | + | 0.607276i | 0.948377 | − | 0.317146i | \(-0.102725\pi\) |
0.381372 | + | 0.924422i | \(0.375452\pi\) | |||||||
\(314\) | −225.273 | + | 350.532i | −0.717430 | + | 1.11634i | ||||
\(315\) | 78.3097 | − | 22.9938i | 0.248602 | − | 0.0729962i | ||||
\(316\) | −298.548 | − | 42.9247i | −0.944771 | − | 0.135838i | ||||
\(317\) | −55.1507 | − | 120.763i | −0.173977 | − | 0.380956i | 0.802477 | − | 0.596683i | \(-0.203515\pi\) |
−0.976454 | + | 0.215727i | \(0.930788\pi\) | |||||||
\(318\) | 91.4245 | − | 13.1449i | 0.287498 | − | 0.0413360i | ||||
\(319\) | 42.2588 | + | 65.7560i | 0.132473 | + | 0.206132i | ||||
\(320\) | 31.2280 | + | 27.0592i | 0.0975876 | + | 0.0845601i | ||||
\(321\) | − | 193.477i | − | 0.602732i | ||||||
\(322\) | 112.039 | + | 129.612i | 0.347947 | + | 0.402522i | ||||
\(323\) | −93.5245 | −0.289550 | ||||||||
\(324\) | −11.7875 | + | 13.6035i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | −16.4434 | + | 10.5675i | −0.0505950 | + | 0.0325155i | ||||
\(326\) | 36.9510 | + | 257.000i | 0.113347 | + | 0.788343i | ||||
\(327\) | −122.642 | + | 56.0089i | −0.375053 | + | 0.171281i | ||||
\(328\) | 27.8006 | − | 193.357i | 0.0847578 | − | 0.589503i | ||||
\(329\) | 18.8740 | + | 64.2789i | 0.0573678 | + | 0.195377i | ||||
\(330\) | −18.8446 | − | 12.1107i | −0.0571048 | − | 0.0366990i | ||||
\(331\) | −150.105 | + | 328.685i | −0.453490 | + | 0.993006i | 0.535433 | + | 0.844578i | \(0.320149\pi\) |
−0.988923 | + | 0.148428i | \(0.952579\pi\) | |||||||
\(332\) | 24.1682 | − | 82.3094i | 0.0727959 | − | 0.247920i | ||||
\(333\) | −70.4808 | + | 61.0720i | −0.211654 | + | 0.183399i | ||||
\(334\) | 47.1731 | + | 54.4407i | 0.141237 | + | 0.162996i | ||||
\(335\) | −201.634 | − | 59.2052i | −0.601893 | − | 0.176732i | ||||
\(336\) | −33.1942 | − | 15.1593i | −0.0987923 | − | 0.0451169i | ||||
\(337\) | 69.9146 | − | 108.789i | 0.207462 | − | 0.322817i | −0.721893 | − | 0.692005i | \(-0.756728\pi\) |
0.929355 | + | 0.369188i | \(0.120364\pi\) | |||||||
\(338\) | −45.1998 | + | 13.2719i | −0.133727 | + | 0.0392659i | ||||
\(339\) | −219.980 | − | 31.6283i | −0.648908 | − | 0.0932988i | ||||
\(340\) | 42.1165 | + | 92.2223i | 0.123872 | + | 0.271242i | ||||
\(341\) | −47.6157 | + | 6.84610i | −0.139635 | + | 0.0200765i | ||||
\(342\) | −21.8578 | − | 34.0115i | −0.0639118 | − | 0.0994487i | ||||
\(343\) | 279.669 | + | 242.334i | 0.815361 | + | 0.706514i | ||||
\(344\) | − | 41.5282i | − | 0.120722i | ||||||
\(345\) | 173.231 | − | 111.037i | 0.502118 | − | 0.321846i | ||||
\(346\) | 30.3783 | 0.0877986 | ||||||||
\(347\) | −318.425 | + | 367.482i | −0.917652 | + | 1.05903i | 0.0804076 | + | 0.996762i | \(0.474378\pi\) |
−0.998060 | + | 0.0622648i | \(0.980168\pi\) | |||||||
\(348\) | 128.653 | − | 82.6801i | 0.369692 | − | 0.237587i | ||||
\(349\) | 3.37877 | + | 23.4998i | 0.00968128 | + | 0.0673348i | 0.994089 | − | 0.108565i | \(-0.0346256\pi\) |
−0.984408 | + | 0.175900i | \(0.943716\pi\) | |||||||
\(350\) | 11.3697 | − | 5.19235i | 0.0324848 | − | 0.0148353i | ||||
\(351\) | −8.61401 | + | 59.9117i | −0.0245413 | + | 0.170689i | ||||
\(352\) | 2.82175 | + | 9.61001i | 0.00801635 | + | 0.0273012i | ||||
\(353\) | −83.3773 | − | 53.5833i | −0.236196 | − | 0.151794i | 0.417189 | − | 0.908820i | \(-0.363015\pi\) |
−0.653385 | + | 0.757026i | \(0.726652\pi\) | |||||||
\(354\) | −45.4652 | + | 99.5550i | −0.128433 | + | 0.281229i | ||||
\(355\) | 44.9276 | − | 153.009i | 0.126557 | − | 0.431013i | ||||
\(356\) | −162.944 | + | 141.192i | −0.457708 | + | 0.396606i | ||||
\(357\) | −58.6339 | − | 67.6671i | −0.164241 | − | 0.189544i | ||||
\(358\) | 209.267 | + | 61.4464i | 0.584545 | + | 0.171638i | ||||
\(359\) | 390.604 | + | 178.383i | 1.08803 | + | 0.496889i | 0.876951 | − | 0.480579i | \(-0.159574\pi\) |
0.211083 | + | 0.977468i | \(0.432301\pi\) | |||||||
\(360\) | −23.6947 | + | 36.8697i | −0.0658187 | + | 0.102416i | ||||
\(361\) | −259.247 | + | 76.1219i | −0.718137 | + | 0.210864i | ||||
\(362\) | 217.756 | + | 31.3086i | 0.601536 | + | 0.0864878i | ||||
\(363\) | 84.8063 | + | 185.700i | 0.233626 | + | 0.511570i | ||||
\(364\) | −121.461 | + | 17.4634i | −0.333683 | + | 0.0479764i | ||||
\(365\) | −210.662 | − | 327.796i | −0.577155 | − | 0.898071i | ||||
\(366\) | 133.305 | + | 115.509i | 0.364221 | + | 0.315599i | ||||
\(367\) | − | 299.504i | − | 0.816087i | −0.912962 | − | 0.408044i | \(-0.866211\pi\) | ||
0.912962 | − | 0.408044i | \(-0.133789\pi\) | |||||||
\(368\) | −91.0479 | − | 13.2016i | −0.247413 | − | 0.0358739i | ||||
\(369\) | 207.195 | 0.561505 | ||||||||
\(370\) | −148.700 | + | 171.610i | −0.401893 | + | 0.463809i | ||||
\(371\) | −167.083 | + | 107.378i | −0.450359 | + | 0.289428i | ||||
\(372\) | 13.3945 | + | 93.1609i | 0.0360068 | + | 0.250432i | ||||
\(373\) | −543.906 | + | 248.394i | −1.45819 | + | 0.665935i | −0.977496 | − | 0.210952i | \(-0.932344\pi\) |
−0.480697 | + | 0.876887i | \(0.659616\pi\) | |||||||
\(374\) | −3.49732 | + | 24.3244i | −0.00935113 | + | 0.0650386i | ||||
\(375\) | 58.7814 | + | 200.191i | 0.156750 | + | 0.533843i | ||||
\(376\) | −30.2638 | − | 19.4493i | −0.0804887 | − | 0.0517270i | ||||
\(377\) | 213.627 | − | 467.779i | 0.566651 | − | 1.24079i | ||||
\(378\) | 10.9046 | − | 37.1377i | 0.0288481 | − | 0.0982478i | ||||
\(379\) | 301.791 | − | 261.504i | 0.796283 | − | 0.689983i | −0.158476 | − | 0.987363i | \(-0.550658\pi\) |
0.954759 | + | 0.297379i | \(0.0961126\pi\) | |||||||
\(380\) | −64.4641 | − | 74.3955i | −0.169642 | − | 0.195778i | ||||
\(381\) | −46.5092 | − | 13.6563i | −0.122071 | − | 0.0358434i | ||||
\(382\) | 211.457 | + | 96.5693i | 0.553553 | + | 0.252799i | ||||
\(383\) | 162.123 | − | 252.269i | 0.423298 | − | 0.658665i | −0.562462 | − | 0.826823i | \(-0.690146\pi\) |
0.985760 | + | 0.168158i | \(0.0537820\pi\) | |||||||
\(384\) | 18.8021 | − | 5.52081i | 0.0489639 | − | 0.0143771i | ||||
\(385\) | 47.6778 | + | 6.85504i | 0.123838 | + | 0.0178053i | ||||
\(386\) | 165.310 | + | 361.978i | 0.428264 | + | 0.937768i | ||||
\(387\) | 43.5990 | − | 6.26859i | 0.112659 | − | 0.0161979i | ||||
\(388\) | 24.7937 | + | 38.5797i | 0.0639013 | + | 0.0994323i | ||||
\(389\) | 543.024 | + | 470.533i | 1.39595 | + | 1.20960i | 0.949095 | + | 0.314991i | \(0.102001\pi\) |
0.446855 | + | 0.894607i | \(0.352544\pi\) | |||||||
\(390\) | 147.376i | 0.377886i | ||||||||
\(391\) | −189.751 | − | 122.266i | −0.485297 | − | 0.312701i | ||||
\(392\) | −60.1242 | −0.153378 | ||||||||
\(393\) | 166.160 | − | 191.759i | 0.422799 | − | 0.487935i | ||||
\(394\) | 299.169 | − | 192.264i | 0.759312 | − | 0.487980i | ||||
\(395\) | −110.855 | − | 771.011i | −0.280645 | − | 1.95193i | ||||
\(396\) | −9.66327 | + | 4.41307i | −0.0244022 | + | 0.0111441i | ||||
\(397\) | 44.4568 | − | 309.204i | 0.111982 | − | 0.778851i | −0.854006 | − | 0.520263i | \(-0.825834\pi\) |
0.965988 | − | 0.258588i | \(-0.0832570\pi\) | |||||||
\(398\) | −66.5014 | − | 226.483i | −0.167089 | − | 0.569053i | ||||
\(399\) | 73.1350 | + | 47.0010i | 0.183296 | + | 0.117797i | ||||
\(400\) | −2.78826 | + | 6.10544i | −0.00697065 | + | 0.0152636i | ||||
\(401\) | −136.229 | + | 463.953i | −0.339723 | + | 1.15699i | 0.595626 | + | 0.803262i | \(0.296904\pi\) |
−0.935349 | + | 0.353727i | \(0.884914\pi\) | |||||||
\(402\) | −75.3181 | + | 65.2635i | −0.187359 | + | 0.162347i | ||||
\(403\) | 207.257 | + | 239.187i | 0.514284 | + | 0.593516i | ||||
\(404\) | −184.591 | − | 54.2007i | −0.456908 | − | 0.134160i | ||||
\(405\) | −42.2849 | − | 19.3108i | −0.104407 | − | 0.0476811i | ||||
\(406\) | −177.787 | + | 276.643i | −0.437900 | + | 0.681386i | ||||
\(407\) | −52.8106 | + | 15.5066i | −0.129756 | + | 0.0380997i | ||||
\(408\) | 47.5911 | + | 6.84257i | 0.116645 | + | 0.0167710i | ||||
\(409\) | 138.171 | + | 302.553i | 0.337827 | + | 0.739738i | 0.999953 | − | 0.00965449i | \(-0.00307317\pi\) |
−0.662127 | + | 0.749392i | \(0.730346\pi\) | |||||||
\(410\) | 499.352 | − | 71.7960i | 1.21793 | − | 0.175112i | ||||
\(411\) | −207.091 | − | 322.241i | −0.503872 | − | 0.784041i | ||||
\(412\) | 4.29877 | + | 3.72491i | 0.0104339 | + | 0.00904103i | ||||
\(413\) | − | 235.341i | − | 0.569833i | ||||||
\(414\) | 0.116429 | − | 97.5807i | 0.000281228 | − | 0.235702i | ||||
\(415\) | 221.541 | 0.533834 | ||||||||
\(416\) | 43.1516 | − | 49.7996i | 0.103730 | − | 0.119711i | ||||
\(417\) | −119.570 | + | 76.8428i | −0.286738 | + | 0.184275i | ||||
\(418\) | −3.39574 | − | 23.6179i | −0.00812378 | − | 0.0565021i | ||||
\(419\) | 127.825 | − | 58.3758i | 0.305072 | − | 0.139322i | −0.256997 | − | 0.966412i | \(-0.582733\pi\) |
0.562069 | + | 0.827091i | \(0.310006\pi\) | |||||||
\(420\) | 13.4120 | − | 93.2824i | 0.0319333 | − | 0.222101i | ||||
\(421\) | 97.3761 | + | 331.633i | 0.231297 | + | 0.787726i | 0.990576 | + | 0.136961i | \(0.0437335\pi\) |
−0.759279 | + | 0.650765i | \(0.774448\pi\) | |||||||
\(422\) | −450.875 | − | 289.760i | −1.06842 | − | 0.686635i | ||||
\(423\) | 15.8509 | − | 34.7087i | 0.0374726 | − | 0.0820536i | ||||
\(424\) | 30.0478 | − | 102.333i | 0.0708673 | − | 0.241352i | ||||
\(425\) | −12.4461 | + | 10.7846i | −0.0292849 | + | 0.0253755i | ||||
\(426\) | −49.5250 | − | 57.1549i | −0.116256 | − | 0.134166i | ||||
\(427\) | −363.923 | − | 106.857i | −0.852279 | − | 0.250252i | ||||
\(428\) | −203.219 | − | 92.8070i | −0.474811 | − | 0.216839i | ||||
\(429\) | −19.3130 | + | 30.0516i | −0.0450187 | + | 0.0700504i | ||||
\(430\) | 102.904 | − | 30.2153i | 0.239311 | − | 0.0702681i | ||||
\(431\) | 651.687 | + | 93.6985i | 1.51204 | + | 0.217398i | 0.847877 | − | 0.530194i | \(-0.177881\pi\) |
0.664159 | + | 0.747592i | \(0.268790\pi\) | |||||||
\(432\) | 8.63424 | + | 18.9063i | 0.0199867 | + | 0.0437647i | ||||
\(433\) | 7.71894 | − | 1.10982i | 0.0178267 | − | 0.00256309i | −0.133396 | − | 0.991063i | \(-0.542588\pi\) |
0.151222 | + | 0.988500i | \(0.451679\pi\) | |||||||
\(434\) | −109.417 | − | 170.257i | −0.252113 | − | 0.392296i | ||||
\(435\) | 298.481 | + | 258.635i | 0.686163 | + | 0.594564i | ||||
\(436\) | 155.684i | 0.357074i | ||||||||
\(437\) | 210.223 | + | 61.9995i | 0.481058 | + | 0.141875i | ||||
\(438\) | −184.789 | −0.421892 | ||||||||
\(439\) | −380.536 | + | 439.162i | −0.866824 | + | 1.00037i | 0.133133 | + | 0.991098i | \(0.457496\pi\) |
−0.999957 | + | 0.00927053i | \(0.997049\pi\) | |||||||
\(440\) | −21.7598 | + | 13.9842i | −0.0494542 | + | 0.0317823i | ||||
\(441\) | −9.07561 | − | 63.1222i | −0.0205796 | − | 0.143134i | ||||
\(442\) | 147.068 | − | 67.1636i | 0.332732 | − | 0.151954i | ||||
\(443\) | −53.0862 | + | 369.222i | −0.119833 | + | 0.833459i | 0.837905 | + | 0.545817i | \(0.183781\pi\) |
−0.957738 | + | 0.287642i | \(0.907129\pi\) | |||||||
\(444\) | 30.3389 | + | 103.325i | 0.0683308 | + | 0.232713i | ||||
\(445\) | −468.418 | − | 301.034i | −1.05263 | − | 0.676481i | ||||
\(446\) | 215.937 | − | 472.836i | 0.484164 | − | 1.06017i | ||||
\(447\) | −11.4085 | + | 38.8539i | −0.0255225 | + | 0.0869215i | ||||
\(448\) | −31.8452 | + | 27.5940i | −0.0710830 | + | 0.0615938i | ||||
\(449\) | −466.156 | − | 537.972i | −1.03821 | − | 1.19816i | −0.979824 | − | 0.199862i | \(-0.935951\pi\) |
−0.0583842 | − | 0.998294i | \(-0.518595\pi\) | |||||||
\(450\) | −6.83076 | − | 2.00569i | −0.0151795 | − | 0.00445710i | ||||
\(451\) | 111.232 | + | 50.7981i | 0.246635 | + | 0.112634i | ||||
\(452\) | −138.741 | + | 215.885i | −0.306948 | + | 0.477621i | ||||
\(453\) | 401.334 | − | 117.842i | 0.885947 | − | 0.260137i | ||||
\(454\) | −370.101 | − | 53.2124i | −0.815200 | − | 0.117208i | ||||
\(455\) | −131.646 | − | 288.265i | −0.289332 | − | 0.633549i | ||||
\(456\) | −46.2088 | + | 6.64382i | −0.101335 | + | 0.0145698i | ||||
\(457\) | 31.6891 | + | 49.3092i | 0.0693415 | + | 0.107898i | 0.874193 | − | 0.485579i | \(-0.161391\pi\) |
−0.804851 | + | 0.593477i | \(0.797755\pi\) | |||||||
\(458\) | −383.982 | − | 332.722i | −0.838388 | − | 0.726467i | ||||
\(459\) | 50.9971i | 0.111105i | ||||||||
\(460\) | −33.5324 | − | 235.215i | −0.0728966 | − | 0.511338i | ||||
\(461\) | −86.3486 | −0.187307 | −0.0936535 | − | 0.995605i | \(-0.529855\pi\) | ||||
−0.0936535 | + | 0.995605i | \(0.529855\pi\) | |||||||
\(462\) | 14.9592 | − | 17.2638i | 0.0323792 | − | 0.0373675i | ||||
\(463\) | −299.264 | + | 192.325i | −0.646358 | + | 0.415389i | −0.822334 | − | 0.569005i | \(-0.807328\pi\) |
0.175976 | + | 0.984394i | \(0.443692\pi\) | |||||||
\(464\) | −25.1311 | − | 174.791i | −0.0541619 | − | 0.376704i | ||||
\(465\) | −221.100 | + | 100.973i | −0.475484 | + | 0.217146i | ||||
\(466\) | 62.3371 | − | 433.564i | 0.133771 | − | 0.930396i | ||||
\(467\) | −171.835 | − | 585.216i | −0.367955 | − | 1.25314i | −0.910639 | − | 0.413203i | \(-0.864410\pi\) |
0.542684 | − | 0.839937i | \(-0.317408\pi\) | |||||||
\(468\) | 58.7965 | + | 37.7862i | 0.125634 | + | 0.0807398i | ||||
\(469\) | 89.0234 | − | 194.934i | 0.189815 | − | 0.415637i | ||||
\(470\) | 26.1746 | − | 89.1424i | 0.0556906 | − | 0.189665i | ||||
\(471\) | −385.677 | + | 334.191i | −0.818848 | + | 0.709536i | ||||
\(472\) | 82.7591 | + | 95.5091i | 0.175337 | + | 0.202350i | ||||
\(473\) | 24.9429 | + | 7.32390i | 0.0527334 | + | 0.0154839i | ||||
\(474\) | −336.022 | − | 153.456i | −0.708908 | − | 0.323748i | ||||
\(475\) | 8.64494 | − | 13.4518i | 0.0181999 | − | 0.0283196i | ||||
\(476\) | −99.1999 | + | 29.1277i | −0.208403 | + | 0.0611927i | ||||
\(477\) | 111.972 | + | 16.0991i | 0.234741 | + | 0.0337507i | ||||
\(478\) | 192.086 | + | 420.609i | 0.401853 | + | 0.879935i | ||||
\(479\) | 110.504 | − | 15.8881i | 0.230698 | − | 0.0331693i | −0.0259964 | − | 0.999662i | \(-0.508276\pi\) |
0.256694 | + | 0.966493i | \(0.417367\pi\) | |||||||
\(480\) | 27.3603 | + | 42.5735i | 0.0570007 | + | 0.0886947i | ||||
\(481\) | 273.667 | + | 237.134i | 0.568955 | + | 0.493002i | ||||
\(482\) | − | 266.450i | − | 0.552802i | ||||||
\(483\) | 86.9381 | + | 190.970i | 0.179996 | + | 0.395384i | ||||
\(484\) | 235.730 | 0.487046 | ||||||||
\(485\) | −77.5582 | + | 89.5070i | −0.159914 | + | 0.184550i | ||||
\(486\) | −18.5458 | + | 11.9186i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 49.2723 | + | 342.696i | 0.101175 | + | 0.703688i | 0.975764 | + | 0.218824i | \(0.0702219\pi\) |
−0.874589 | + | 0.484864i | \(0.838869\pi\) | |||||||
\(488\) | 185.269 | − | 84.6095i | 0.379650 | − | 0.173380i | ||||
\(489\) | −45.2555 | + | 314.759i | −0.0925471 | + | 0.643679i | ||||
\(490\) | −43.7455 | − | 148.983i | −0.0892764 | − | 0.304048i | ||||
\(491\) | 495.408 | + | 318.379i | 1.00898 | + | 0.648430i | 0.937128 | − | 0.348986i | \(-0.113474\pi\) |
0.0718486 | + | 0.997416i | \(0.477110\pi\) | |||||||
\(492\) | 99.3874 | − | 217.628i | 0.202007 | − | 0.442333i | ||||
\(493\) | 122.068 | − | 415.726i | 0.247603 | − | 0.843257i | ||||
\(494\) | −118.639 | + | 102.801i | −0.240160 | + | 0.208100i | ||||
\(495\) | −17.9661 | − | 20.7340i | −0.0362952 | − | 0.0418868i | ||||
\(496\) | 104.277 | + | 30.6184i | 0.210236 | + | 0.0617307i | ||||
\(497\) | 147.925 | + | 67.5551i | 0.297636 | + | 0.135926i | ||||
\(498\) | 56.8018 | − | 88.3854i | 0.114060 | − | 0.177481i | ||||
\(499\) | −138.277 | + | 40.6019i | −0.277109 | + | 0.0813665i | −0.417334 | − | 0.908753i | \(-0.637035\pi\) |
0.140225 | + | 0.990120i | \(0.455217\pi\) | |||||||
\(500\) | 238.468 | + | 34.2865i | 0.476935 | + | 0.0685729i | ||||
\(501\) | 36.6500 | + | 80.2522i | 0.0731536 | + | 0.160184i | ||||
\(502\) | −83.1365 | + | 11.9532i | −0.165611 | + | 0.0238112i | ||||
\(503\) | −115.729 | − | 180.078i | −0.230078 | − | 0.358008i | 0.706950 | − | 0.707264i | \(-0.250071\pi\) |
−0.937027 | + | 0.349256i | \(0.886434\pi\) | |||||||
\(504\) | −33.7769 | − | 29.2679i | −0.0670177 | − | 0.0580712i | ||||
\(505\) | − | 496.838i | − | 0.983837i | ||||||
\(506\) | 23.9864 | − | 52.3575i | 0.0474039 | − | 0.103473i | ||||
\(507\) | −57.6953 | −0.113798 | ||||||||
\(508\) | −36.6535 | + | 42.3004i | −0.0721526 | + | 0.0832685i | ||||
\(509\) | 243.236 | − | 156.318i | 0.477870 | − | 0.307109i | −0.279441 | − | 0.960163i | \(-0.590149\pi\) |
0.757311 | + | 0.653054i | \(0.226513\pi\) | |||||||
\(510\) | 17.6712 | + | 122.906i | 0.0346494 | + | 0.240992i | ||||
\(511\) | 361.444 | − | 165.066i | 0.707328 | − | 0.323026i | ||||
\(512\) | 3.22022 | − | 22.3971i | 0.00628949 | − | 0.0437443i | ||||
\(513\) | −13.9502 | − | 47.5101i | −0.0271934 | − | 0.0926122i | ||||
\(514\) | −355.335 | − | 228.360i | −0.691313 | − | 0.444280i | ||||
\(515\) | −6.10232 | + | 13.3622i | −0.0118492 | + | 0.0259461i | ||||
\(516\) | 14.3293 | − | 48.8012i | 0.0277700 | − | 0.0945760i | ||||
\(517\) | 17.0191 | − | 14.7471i | 0.0329189 | − | 0.0285244i | ||||
\(518\) | −151.639 | − | 175.001i | −0.292740 | − | 0.337840i | ||||
\(519\) | 35.6986 | + | 10.4821i | 0.0687834 | + | 0.0201966i | ||||
\(520\) | 154.796 | + | 70.6931i | 0.297685 | + | 0.135948i | ||||
\(521\) | 50.3624 | − | 78.3654i | 0.0966648 | − | 0.150413i | −0.789553 | − | 0.613683i | \(-0.789687\pi\) |
0.886218 | + | 0.463269i | \(0.153324\pi\) | |||||||
\(522\) | 179.713 | − | 52.7685i | 0.344278 | − | 0.101089i | ||||
\(523\) | 407.479 | + | 58.5866i | 0.779118 | + | 0.112020i | 0.520389 | − | 0.853930i | \(-0.325787\pi\) |
0.258729 | + | 0.965950i | \(0.416696\pi\) | |||||||
\(524\) | −121.711 | − | 266.509i | −0.232272 | − | 0.508605i | ||||
\(525\) | 15.1525 | − | 2.17860i | 0.0288619 | − | 0.00414972i | ||||
\(526\) | 199.569 | + | 310.536i | 0.379409 | + | 0.590372i | ||||
\(527\) | 201.524 | + | 174.622i | 0.382399 | + | 0.331351i | ||||
\(528\) | 12.2667i | 0.0232324i | ||||||||
\(529\) | 345.466 | + | 400.617i | 0.653055 | + | 0.757310i | ||||
\(530\) | 275.437 | 0.519692 | ||||||||
\(531\) | −87.7793 | + | 101.303i | −0.165309 | + | 0.190777i | ||||
\(532\) | 84.4491 | − | 54.2721i | 0.158739 | − | 0.102015i | ||||
\(533\) | −114.494 | − | 796.322i | −0.214810 | − | 1.49404i | ||||
\(534\) | −240.199 | + | 109.695i | −0.449811 | + | 0.205422i | ||||
\(535\) | 82.1099 | − | 571.087i | 0.153476 | − | 1.06745i | ||||
\(536\) | 32.4211 | + | 110.416i | 0.0604872 | + | 0.206000i | ||||
\(537\) | 224.715 | + | 144.415i | 0.418463 | + | 0.268930i | ||||
\(538\) | 188.347 | − | 412.422i | 0.350087 | − | 0.766583i | ||||
\(539\) | 10.6035 | − | 36.1121i | 0.0196725 | − | 0.0669984i | ||||
\(540\) | −40.5664 | + | 35.1510i | −0.0751230 | + | 0.0650944i | ||||
\(541\) | 422.926 | + | 488.082i | 0.781748 | + | 0.902186i | 0.997234 | − | 0.0743213i | \(-0.0236791\pi\) |
−0.215486 | + | 0.976507i | \(0.569134\pi\) | |||||||
\(542\) | 684.552 | + | 201.003i | 1.26301 | + | 0.370853i | ||||
\(543\) | 245.090 | + | 111.929i | 0.451362 | + | 0.206130i | ||||
\(544\) | 30.0156 | − | 46.7052i | 0.0551758 | − | 0.0858552i | ||||
\(545\) | −385.774 | + | 113.273i | −0.707842 | + | 0.207841i | ||||
\(546\) | −148.758 | − | 21.3882i | −0.272451 | − | 0.0391726i | ||||
\(547\) | −273.288 | − | 598.417i | −0.499612 | − | 1.09400i | −0.976595 | − | 0.215086i | \(-0.930997\pi\) |
0.476983 | − | 0.878913i | \(-0.341730\pi\) | |||||||
\(548\) | −437.804 | + | 62.9467i | −0.798912 | + | 0.114866i | ||||
\(549\) | 116.794 | + | 181.736i | 0.212740 | + | 0.331030i | ||||
\(550\) | −3.17535 | − | 2.75145i | −0.00577336 | − | 0.00500264i | ||||
\(551\) | 420.691i | 0.763505i | ||||||||
\(552\) | −102.438 | − | 46.9298i | −0.185577 | − | 0.0850177i | ||||
\(553\) | 794.333 | 1.43641 | ||||||||
\(554\) | −40.3573 | + | 46.5748i | −0.0728471 | + | 0.0840701i | ||||
\(555\) | −233.957 | + | 150.355i | −0.421544 | + | 0.270910i | ||||
\(556\) | 23.3568 | + | 162.450i | 0.0420087 | + | 0.292177i | ||||
\(557\) | −521.912 | + | 238.349i | −0.937006 | + | 0.427916i | −0.824581 | − | 0.565744i | \(-0.808589\pi\) |
−0.112425 | + | 0.993660i | \(0.535862\pi\) | |||||||
\(558\) | −16.4049 | + | 114.098i | −0.0293994 | + | 0.204477i | ||||
\(559\) | −48.1846 | − | 164.102i | −0.0861979 | − | 0.293563i | ||||
\(560\) | −91.5460 | − | 58.8330i | −0.163475 | − | 0.105059i | ||||
\(561\) | −12.5030 | + | 27.3777i | −0.0222869 | + | 0.0488016i | ||||
\(562\) | 28.7575 | − | 97.9392i | 0.0511700 | − | 0.174269i | ||||
\(563\) | −451.236 | + | 390.998i | −0.801485 | + | 0.694490i | −0.955957 | − | 0.293507i | \(-0.905178\pi\) |
0.154472 | + | 0.987997i | \(0.450632\pi\) | |||||||
\(564\) | −28.8530 | − | 33.2981i | −0.0511578 | − | 0.0590392i | ||||
\(565\) | −635.892 | − | 186.715i | −1.12547 | − | 0.330469i | ||||
\(566\) | −535.409 | − | 244.513i | −0.945952 | − | 0.432002i | ||||
\(567\) | 25.6287 | − | 39.8791i | 0.0452006 | − | 0.0703335i | ||||
\(568\) | −83.7890 | + | 24.6027i | −0.147516 | + | 0.0433145i | ||||
\(569\) | 601.644 | + | 86.5033i | 1.05737 | + | 0.152027i | 0.648999 | − | 0.760789i | \(-0.275188\pi\) |
0.408371 | + | 0.912816i | \(0.366097\pi\) | |||||||
\(570\) | −50.0837 | − | 109.668i | −0.0878662 | − | 0.192400i | ||||
\(571\) | −618.843 | + | 88.9761i | −1.08379 | + | 0.155825i | −0.660987 | − | 0.750398i | \(-0.729862\pi\) |
−0.422801 | + | 0.906223i | \(0.638953\pi\) | |||||||
\(572\) | 22.3007 | + | 34.7006i | 0.0389873 | + | 0.0606654i | ||||
\(573\) | 215.169 | + | 186.445i | 0.375514 | + | 0.325384i | ||||
\(574\) | 514.457i | 0.896267i | ||||||||
\(575\) | 35.1254 | − | 15.9906i | 0.0610876 | − | 0.0278097i | ||||
\(576\) | 24.0000 | 0.0416667 | ||||||||
\(577\) | −242.341 | + | 279.676i | −0.420001 | + | 0.484707i | −0.925837 | − | 0.377922i | \(-0.876639\pi\) |
0.505836 | + | 0.862630i | \(0.331184\pi\) | |||||||
\(578\) | −229.231 | + | 147.318i | −0.396593 | + | 0.254875i | ||||
\(579\) | 69.3606 | + | 482.413i | 0.119794 | + | 0.833184i | ||||
\(580\) | 414.834 | − | 189.448i | 0.715230 | − | 0.326635i | ||||
\(581\) | −32.1517 | + | 223.620i | −0.0553385 | + | 0.384888i | ||||
\(582\) | 15.8240 | + | 53.8914i | 0.0271889 | + | 0.0925970i | ||||
\(583\) | 56.1648 | + | 36.0949i | 0.0963375 | + | 0.0619124i | ||||
\(584\) | −88.6395 | + | 194.093i | −0.151780 | + | 0.332352i | ||||
\(585\) | −50.8520 | + | 173.186i | −0.0869265 | + | 0.296045i | ||||
\(586\) | −209.101 | + | 181.187i | −0.356827 | + | 0.309192i | ||||
\(587\) | 0.128787 | + | 0.148628i | 0.000219398 | + | 0.000253199i | 0.755859 | − | 0.654734i | \(-0.227219\pi\) |
−0.755640 | + | 0.654987i | \(0.772674\pi\) | |||||||
\(588\) | −70.6540 | − | 20.7459i | −0.120160 | − | 0.0352821i | ||||
\(589\) | −235.512 | − | 107.555i | −0.399851 | − | 0.182606i | ||||
\(590\) | −176.450 | + | 274.562i | −0.299068 | + | 0.465359i | ||||
\(591\) | 417.905 | − | 122.708i | 0.707114 | − | 0.207628i | ||||
\(592\) | 123.080 | + | 17.6963i | 0.207906 | + | 0.0298924i | ||||
\(593\) | −153.140 | − | 335.329i | −0.258246 | − | 0.565479i | 0.735452 | − | 0.677577i | \(-0.236970\pi\) |
−0.993697 | + | 0.112098i | \(0.964243\pi\) | |||||||
\(594\) | −12.8784 | + | 1.85163i | −0.0216808 | + | 0.00311722i | ||||
\(595\) | −144.353 | − | 224.617i | −0.242610 | − | 0.377508i | ||||
\(596\) | 35.3379 | + | 30.6204i | 0.0592917 | + | 0.0513765i | ||||
\(597\) | − | 289.094i | − | 0.484245i | ||||||
\(598\) | −375.100 | + | 53.4745i | −0.627258 | + | 0.0894223i | ||||
\(599\) | −760.607 | −1.26979 | −0.634897 | − | 0.772597i | \(-0.718958\pi\) | ||||
−0.634897 | + | 0.772597i | \(0.718958\pi\) | |||||||
\(600\) | −5.38327 | + | 6.21262i | −0.00897211 | + | 0.0103544i | ||||
\(601\) | −87.6798 | + | 56.3484i | −0.145890 | + | 0.0937577i | −0.611549 | − | 0.791206i | \(-0.709453\pi\) |
0.465660 | + | 0.884964i | \(0.345817\pi\) | |||||||
\(602\) | 15.5646 | + | 108.254i | 0.0258549 | + | 0.179825i | ||||
\(603\) | −111.028 | + | 50.7048i | −0.184126 | + | 0.0840876i | ||||
\(604\) | 68.7359 | − | 478.069i | 0.113801 | − | 0.791504i | ||||
\(605\) | 171.514 | + | 584.122i | 0.283494 | + | 0.965492i | ||||
\(606\) | −198.217 | − | 127.386i | −0.327090 | − | 0.210208i | ||||
\(607\) | −420.419 | + | 920.590i | −0.692618 | + | 1.51662i | 0.156079 | + | 0.987745i | \(0.450114\pi\) |
−0.848698 | + | 0.528878i | \(0.822613\pi\) | |||||||
\(608\) | −15.1871 | + | 51.7224i | −0.0249787 | + | 0.0850698i | ||||
\(609\) | −304.380 | + | 263.747i | −0.499803 | + | 0.433082i | ||||
\(610\) | 344.455 | + | 397.522i | 0.564680 | + | 0.651676i | ||||
\(611\) | −142.156 | − | 41.7408i | −0.232662 | − | 0.0683156i | ||||
\(612\) | 53.5649 | + | 24.4623i | 0.0875244 | + | 0.0399710i | ||||
\(613\) | −63.1236 | + | 98.2222i | −0.102975 | + | 0.160232i | −0.888917 | − | 0.458068i | \(-0.848542\pi\) |
0.785943 | + | 0.618300i | \(0.212178\pi\) | |||||||
\(614\) | −423.437 | + | 124.332i | −0.689637 | + | 0.202496i | ||||
\(615\) | 611.579 | + | 87.9318i | 0.994437 | + | 0.142978i | ||||
\(616\) | −10.9575 | − | 23.9935i | −0.0177881 | − | 0.0389505i | ||||
\(617\) | −589.483 | + | 84.7548i | −0.955402 | + | 0.137366i | −0.602345 | − | 0.798236i | \(-0.705767\pi\) |
−0.353057 | + | 0.935602i | \(0.614858\pi\) | |||||||
\(618\) | 3.76635 | + | 5.86056i | 0.00609442 | + | 0.00948310i | ||||
\(619\) | −206.962 | − | 179.334i | −0.334350 | − | 0.289716i | 0.471463 | − | 0.881886i | \(-0.343726\pi\) |
−0.805813 | + | 0.592170i | \(0.798271\pi\) | |||||||
\(620\) | 280.668i | 0.452690i | ||||||||
\(621\) | 33.8071 | − | 114.630i | 0.0544397 | − | 0.184590i | ||||
\(622\) | 528.455 | 0.849606 | ||||||||
\(623\) | 371.839 | − | 429.125i | 0.596852 | − | 0.688804i | ||||
\(624\) | 67.8923 | − | 43.6318i | 0.108802 | − | 0.0699227i | ||||
\(625\) | 94.5162 | + | 657.374i | 0.151226 | + | 1.05180i | ||||
\(626\) | 588.612 | − | 268.810i | 0.940274 | − | 0.429409i | ||||
\(627\) | 4.15891 | − | 28.9259i | 0.00663304 | − | 0.0461338i | ||||
\(628\) | 166.017 | + | 565.402i | 0.264358 | + | 0.900322i | ||||
\(629\) | 256.662 | + | 164.947i | 0.408048 | + | 0.262237i | ||||
\(630\) | 47.9480 | − | 104.992i | 0.0761080 | − | 0.166653i | ||||
\(631\) | 13.9634 | − | 47.5551i | 0.0221291 | − | 0.0753647i | −0.947688 | − | 0.319198i | \(-0.896587\pi\) |
0.969817 | + | 0.243833i | \(0.0784048\pi\) | |||||||
\(632\) | −322.366 | + | 279.332i | −0.510074 | + | 0.441981i | ||||
\(633\) | −429.857 | − | 496.082i | −0.679079 | − | 0.783699i | ||||
\(634\) | −180.146 | − | 52.8957i | −0.284142 | − | 0.0834317i | ||||
\(635\) | −131.486 | − | 60.0476i | −0.207064 | − | 0.0945631i | ||||
\(636\) | 70.6203 | − | 109.887i | 0.111038 | − | 0.172779i | ||||
\(637\) | −237.585 | + | 69.7613i | −0.372975 | + | 0.109515i | ||||
\(638\) | 109.416 | + | 15.7316i | 0.171498 | + | 0.0246577i | ||||
\(639\) | −38.4772 | − | 84.2533i | −0.0602147 | − | 0.131852i | ||||
\(640\) | 57.8414 | − | 8.31633i | 0.0903771 | − | 0.0129943i | ||||
\(641\) | 542.595 | + | 844.295i | 0.846482 | + | 1.31715i | 0.946677 | + | 0.322184i | \(0.104417\pi\) |
−0.100195 | + | 0.994968i | \(0.531947\pi\) | |||||||
\(642\) | −206.786 | − | 179.182i | −0.322097 | − | 0.279099i | ||||
\(643\) | − | 580.393i | − | 0.902634i | −0.892364 | − | 0.451317i | \(-0.850954\pi\) | ||
0.892364 | − | 0.451317i | \(-0.149046\pi\) | |||||||
\(644\) | 242.289 | + | 0.289087i | 0.376225 | + | 0.000448893i | ||||
\(645\) | 131.352 | 0.203646 | ||||||||
\(646\) | −86.6143 | + | 99.9582i | −0.134078 | + | 0.154734i | ||||
\(647\) | 813.648 | − | 522.900i | 1.25757 | − | 0.808191i | 0.269620 | − | 0.962967i | \(-0.413102\pi\) |
0.987950 | + | 0.154775i | \(0.0494654\pi\) | |||||||
\(648\) | 3.62274 | + | 25.1967i | 0.00559065 | + | 0.0388839i | ||||
\(649\) | −71.9606 | + | 32.8633i | −0.110879 | + | 0.0506368i | ||||
\(650\) | −3.93396 | + | 27.3613i | −0.00605224 | + | 0.0420943i | ||||
\(651\) | −69.8328 | − | 237.829i | −0.107270 | − | 0.365328i | ||||
\(652\) | 308.900 | + | 198.518i | 0.473773 | + | 0.304475i | ||||
\(653\) | 88.0865 | − | 192.883i | 0.134895 | − | 0.295379i | −0.830115 | − | 0.557593i | \(-0.811725\pi\) |
0.965010 | + | 0.262213i | \(0.0844525\pi\) | |||||||
\(654\) | −53.7189 | + | 182.950i | −0.0821390 | + | 0.279740i | ||||
\(655\) | 571.835 | − | 495.498i | 0.873031 | − | 0.756486i | ||||
\(656\) | −180.912 | − | 208.784i | −0.275780 | − | 0.318268i | ||||
\(657\) | −217.152 | − | 63.7615i | −0.330520 | − | 0.0970494i | ||||
\(658\) | 86.1802 | + | 39.3572i | 0.130973 | + | 0.0598133i | ||||
\(659\) | −3.82691 | + | 5.95479i | −0.00580715 | + | 0.00903610i | −0.844145 | − | 0.536115i | \(-0.819891\pi\) |
0.838338 | + | 0.545151i | \(0.183528\pi\) | |||||||
\(660\) | −30.3960 | + | 8.92506i | −0.0460545 | + | 0.0135228i | ||||
\(661\) | −1015.33 | − | 145.983i | −1.53606 | − | 0.220852i | −0.678253 | − | 0.734829i | \(-0.737262\pi\) |
−0.857804 | + | 0.513977i | \(0.828172\pi\) | |||||||
\(662\) | 212.281 | + | 464.831i | 0.320666 | + | 0.702161i | ||||
\(663\) | 195.999 | − | 28.1804i | 0.295625 | − | 0.0425044i | ||||
\(664\) | −65.5891 | − | 102.059i | −0.0987788 | − | 0.153703i | ||||
\(665\) | 195.926 | + | 169.771i | 0.294626 | + | 0.255295i | ||||
\(666\) | 131.889i | 0.198031i | ||||||||
\(667\) | −549.976 | + | 853.538i | −0.824551 | + | 1.27967i | ||||
\(668\) | 101.873 | 0.152505 | ||||||||
\(669\) | 416.908 | − | 481.137i | 0.623180 | − | 0.719188i | ||||
\(670\) | −250.014 | + | 160.674i | −0.373155 | + | 0.239812i | ||||
\(671\) | 18.1447 | + | 126.199i | 0.0270413 | + | 0.188076i | ||||
\(672\) | −46.9437 | + | 21.4385i | −0.0698567 | + | 0.0319025i | ||||
\(673\) | −39.0105 | + | 271.324i | −0.0579651 | + | 0.403156i | 0.940096 | + | 0.340911i | \(0.110735\pi\) |
−0.998061 | + | 0.0622457i | \(0.980174\pi\) | |||||||
\(674\) | −51.5242 | − | 175.475i | −0.0764454 | − | 0.260349i | ||||
\(675\) | −7.33500 | − | 4.71392i | −0.0108667 | − | 0.00698358i | ||||
\(676\) | −27.6753 | + | 60.6004i | −0.0409398 | + | 0.0896456i | ||||
\(677\) | −227.986 | + | 776.451i | −0.336760 | + | 1.14690i | 0.600894 | + | 0.799329i | \(0.294811\pi\) |
−0.937654 | + | 0.347570i | \(0.887007\pi\) | |||||||
\(678\) | −237.530 | + | 205.821i | −0.350339 | + | 0.303571i | ||||
\(679\) | −79.0910 | − | 91.2759i | −0.116482 | − | 0.134427i | ||||
\(680\) | 137.571 | + | 40.3945i | 0.202310 | + | 0.0594037i | ||||
\(681\) | −416.557 | − | 190.235i | −0.611684 | − | 0.279347i | ||||
\(682\) | −36.7805 | + | 57.2315i | −0.0539303 | + | 0.0839172i | ||||
\(683\) | 20.2029 | − | 5.93211i | 0.0295797 | − | 0.00868537i | −0.266909 | − | 0.963722i | \(-0.586002\pi\) |
0.296489 | + | 0.955036i | \(0.404184\pi\) | |||||||
\(684\) | −56.5940 | − | 8.13699i | −0.0827397 | − | 0.0118962i | ||||
\(685\) | −474.517 | − | 1039.05i | −0.692725 | − | 1.51686i | ||||
\(686\) | 518.010 | − | 74.4786i | 0.755116 | − | 0.108569i | ||||
\(687\) | −336.424 | − | 523.486i | −0.489700 | − | 0.761988i | ||||
\(688\) | −44.3850 | − | 38.4598i | −0.0645131 | − | 0.0559009i | ||||
\(689\) | − | 439.241i | − | 0.637506i | ||||||
\(690\) | 41.7560 | − | 287.980i | 0.0605160 | − | 0.417362i | ||||
\(691\) | 399.341 | 0.577917 | 0.288959 | − | 0.957342i | \(-0.406691\pi\) | ||||
0.288959 | + | 0.957342i | \(0.406691\pi\) | |||||||
\(692\) | 28.1338 | − | 32.4681i | 0.0406557 | − | 0.0469192i | ||||
\(693\) | 23.5359 | − | 15.1256i | 0.0339624 | − | 0.0218263i | ||||
\(694\) | 97.8642 | + | 680.660i | 0.141015 | + | 0.980779i | ||||
\(695\) | −385.546 | + | 176.073i | −0.554742 | + | 0.253342i | ||||
\(696\) | 30.7792 | − | 214.074i | 0.0442230 | − | 0.307578i | ||||
\(697\) | −190.967 | − | 650.375i | −0.273985 | − | 0.933106i | ||||
\(698\) | 28.2456 | + | 18.1523i | 0.0404664 | + | 0.0260062i | ||||
\(699\) | 222.856 | − | 487.987i | 0.318821 | − | 0.698121i | ||||
\(700\) | 4.98005 | − | 16.9605i | 0.00711436 | − | 0.0242293i | ||||
\(701\) | 868.957 | − | 752.956i | 1.23960 | − | 1.07412i | 0.245084 | − | 0.969502i | \(-0.421185\pi\) |
0.994513 | − | 0.104615i | \(-0.0333609\pi\) | |||||||
\(702\) | 56.0556 | + | 64.6916i | 0.0798513 | + | 0.0921533i | ||||
\(703\) | −284.234 | − | 83.4586i | −0.404316 | − | 0.118718i | ||||
\(704\) | 12.8844 | + | 5.88409i | 0.0183016 | + | 0.00835808i | ||||
\(705\) | 61.5173 | − | 95.7227i | 0.0872585 | − | 0.135777i | ||||
\(706\) | −134.486 | + | 39.4887i | −0.190490 | + | 0.0559330i | ||||
\(707\) | 501.500 | + | 72.1048i | 0.709335 | + | 0.101987i | ||||
\(708\) | 64.2976 | + | 140.792i | 0.0908158 | + | 0.198859i | ||||
\(709\) | −680.755 | + | 97.8778i | −0.960162 | + | 0.138050i | −0.604536 | − | 0.796578i | \(-0.706641\pi\) |
−0.355626 | + | 0.934628i | \(0.615732\pi\) | |||||||
\(710\) | −121.927 | − | 189.722i | −0.171728 | − | 0.267215i | ||||
\(711\) | −341.921 | − | 296.276i | −0.480902 | − | 0.416704i | ||||
\(712\) | 304.913i | 0.428248i | ||||||||
\(713\) | −337.222 | − | 526.106i | −0.472962 | − | 0.737877i | ||||
\(714\) | −126.624 | −0.177344 | ||||||||
\(715\) | −69.7599 | + | 80.5072i | −0.0975663 | + | 0.112598i | ||||
\(716\) | 259.478 | − | 166.757i | 0.362400 | − | 0.232900i | ||||
\(717\) | 80.5951 | + | 560.551i | 0.112406 | + | 0.781801i | ||||
\(718\) | 552.398 | − | 252.272i | 0.769357 | − | 0.351353i | ||||
\(719\) | −130.383 | + | 906.837i | −0.181340 | + | 1.26125i | 0.672259 | + | 0.740316i | \(0.265324\pi\) |
−0.853599 | + | 0.520931i | \(0.825585\pi\) | |||||||
\(720\) | 17.4620 | + | 59.4702i | 0.0242528 | + | 0.0825975i | ||||
\(721\) | −12.6020 | − | 8.09880i | −0.0174785 | − | 0.0112327i | ||||
\(722\) | −158.734 | + | 347.579i | −0.219853 | + | 0.481411i | ||||
\(723\) | 91.9388 | − | 313.115i | 0.127163 | − | 0.433077i | ||||
\(724\) | 235.129 | − | 203.740i | 0.324764 | − | 0.281410i | ||||
\(725\) | 48.5112 | + | 55.9849i | 0.0669120 | + | 0.0772205i | ||||
\(726\) | 277.015 | + | 81.3389i | 0.381563 | + | 0.112037i | ||||
\(727\) | −163.719 | − | 74.7681i | −0.225198 | − | 0.102845i | 0.299621 | − | 0.954058i | \(-0.403140\pi\) |
−0.524819 | + | 0.851214i | \(0.675867\pi\) | |||||||
\(728\) | −93.8216 | + | 145.989i | −0.128876 | + | 0.200535i | ||||
\(729\) | −25.9063 | + | 7.60678i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −545.442 | − | 78.4227i | −0.747180 | − | 0.107428i | ||||
\(731\) | −59.8610 | − | 131.077i | −0.0818892 | − | 0.179312i | ||||
\(732\) | 246.910 | − | 35.5004i | 0.337309 | − | 0.0484978i | ||||
\(733\) | 676.936 | + | 1053.33i | 0.923514 | + | 1.43702i | 0.899312 | + | 0.437308i | \(0.144068\pi\) |
0.0242021 | + | 0.999707i | \(0.492295\pi\) | |||||||
\(734\) | −320.107 | − | 277.375i | −0.436113 | − | 0.377894i | ||||
\(735\) | − | 190.170i | − | 0.258734i | ||||||
\(736\) | −98.4304 | + | 85.0850i | −0.133737 | + | 0.115605i | ||||
\(737\) | −72.0366 | −0.0977430 | ||||||||
\(738\) | 191.886 | − | 221.448i | 0.260008 | − | 0.300066i | ||||
\(739\) | 451.129 | − | 289.923i | 0.610459 | − | 0.392318i | −0.198570 | − | 0.980087i | \(-0.563630\pi\) |
0.809029 | + | 0.587768i | \(0.199993\pi\) | |||||||
\(740\) | 45.7013 | + | 317.860i | 0.0617585 | + | 0.429540i | ||||
\(741\) | −174.889 | + | 79.8690i | −0.236017 | + | 0.107785i | ||||
\(742\) | −39.9734 | + | 278.021i | −0.0538725 | + | 0.374691i | ||||
\(743\) | −223.208 | − | 760.178i | −0.300415 | − | 1.02312i | −0.961955 | − | 0.273209i | \(-0.911915\pi\) |
0.661540 | − | 0.749910i | \(-0.269903\pi\) | |||||||
\(744\) | 111.974 | + | 71.9616i | 0.150503 | + | 0.0967225i | ||||
\(745\) | −50.1639 | + | 109.844i | −0.0673341 | + | 0.147441i | ||||
\(746\) | −238.238 | + | 811.363i | −0.319353 | + | 1.08762i | ||||
\(747\) | 97.2472 | − | 84.2651i | 0.130184 | − | 0.112805i | ||||
\(748\) | 22.7588 | + | 26.2651i | 0.0304262 | + | 0.0351137i | ||||
\(749\) | 564.529 | + | 165.761i | 0.753710 | + | 0.221309i | ||||
\(750\) | 268.401 | + | 122.575i | 0.357868 | + | 0.163433i | ||||
\(751\) | 720.924 | − | 1121.78i | 0.959952 | − | 1.49371i | 0.0927919 | − | 0.995686i | \(-0.470421\pi\) |
0.867160 | − | 0.498029i | \(-0.165943\pi\) | |||||||
\(752\) | −48.8149 | + | 14.3334i | −0.0649135 | + | 0.0190603i | ||||
\(753\) | −101.821 | − | 14.6396i | −0.135220 | − | 0.0194418i | ||||
\(754\) | −302.115 | − | 661.539i | −0.400683 | − | 0.877373i | ||||
\(755\) | 1234.63 | − | 177.513i | 1.63527 | − | 0.235117i | ||||
\(756\) | −29.5935 | − | 46.0484i | −0.0391449 | − | 0.0609106i | ||||
\(757\) | −497.653 | − | 431.218i | −0.657401 | − | 0.569641i | 0.260977 | − | 0.965345i | \(-0.415955\pi\) |
−0.918378 | + | 0.395704i | \(0.870501\pi\) | |||||||
\(758\) | − | 564.734i | − | 0.745032i | ||||||
\(759\) | 46.2532 | − | 53.2505i | 0.0609397 | − | 0.0701588i | ||||
\(760\) | −139.214 | −0.183177 | ||||||||
\(761\) | −393.068 | + | 453.625i | −0.516515 | + | 0.596091i | −0.952755 | − | 0.303740i | \(-0.901765\pi\) |
0.436240 | + | 0.899831i | \(0.356310\pi\) | |||||||
\(762\) | −57.6685 | + | 37.0613i | −0.0756805 | + | 0.0486369i | ||||
\(763\) | −58.3499 | − | 405.833i | −0.0764744 | − | 0.531891i | ||||
\(764\) | 299.046 | − | 136.570i | 0.391421 | − | 0.178756i | ||||
\(765\) | −21.6427 | + | 150.528i | −0.0282911 | + | 0.196769i | ||||
\(766\) | −119.478 | − | 406.905i | −0.155977 | − | 0.531208i | ||||
\(767\) | 437.846 | + | 281.387i | 0.570856 | + | 0.366867i | ||||
\(768\) | 11.5123 | − | 25.2085i | 0.0149900 | − | 0.0328235i | ||||
\(769\) | 354.339 | − | 1206.77i | 0.460779 | − | 1.56927i | −0.321857 | − | 0.946788i | \(-0.604307\pi\) |
0.782636 | − | 0.622480i | \(-0.213875\pi\) | |||||||
\(770\) | 51.4816 | − | 44.6091i | 0.0668593 | − | 0.0579339i | ||||
\(771\) | −338.771 | − | 390.962i | −0.439391 | − | 0.507084i | ||||
\(772\) | 539.975 | + | 158.551i | 0.699450 | + | 0.205377i | ||||
\(773\) | −937.490 | − | 428.137i | −1.21279 | − | 0.553864i | −0.296755 | − | 0.954954i | \(-0.595904\pi\) |
−0.916039 | + | 0.401089i | \(0.868632\pi\) | |||||||
\(774\) | 33.6778 | − | 52.4036i | 0.0435113 | − | 0.0677049i | ||||
\(775\) | −43.7441 | + | 12.8444i | −0.0564440 | + | 0.0165734i | ||||
\(776\) | 64.1955 | + | 9.22991i | 0.0827261 | + | 0.0118942i | ||||
\(777\) | −117.812 | − | 257.973i | −0.151625 | − | 0.332011i | ||||
\(778\) | 1005.80 | − | 144.613i | 1.29281 | − | 0.185878i | ||||
\(779\) | 355.819 | + | 553.665i | 0.456764 | + | 0.710739i | ||||
\(780\) | 157.514 | + | 136.486i | 0.201941 | + | 0.174983i | ||||
\(781\) | − | 54.6647i | − | 0.0699932i | ||||||
\(782\) | −306.408 | + | 89.5725i | −0.391826 | + | 0.114543i | ||||
\(783\) | 229.395 | 0.292969 | ||||||||
\(784\) | −55.6818 | + | 64.2602i | −0.0710227 | + | 0.0819646i | ||||
\(785\) | −1280.23 | + | 822.756i | −1.63087 | + | 1.04810i | ||||
\(786\) | −51.0672 | − | 355.180i | −0.0649710 | − | 0.451883i | ||||
\(787\) | 1027.02 | − | 469.025i | 1.30498 | − | 0.595966i | 0.363051 | − | 0.931769i | \(-0.381735\pi\) |
0.941932 | + | 0.335803i | \(0.109008\pi\) | |||||||
\(788\) | 71.5739 | − | 497.808i | 0.0908299 | − | 0.631736i | ||||
\(789\) | 127.370 | + | 433.782i | 0.161432 | + | 0.549788i | ||||
\(790\) | −926.713 | − | 595.563i | −1.17306 | − | 0.753877i | ||||
\(791\) | 280.752 | − | 614.761i | 0.354933 | − | 0.777195i | ||||
\(792\) | −4.23263 | + | 14.4150i | −0.00534423 | + | 0.0182008i | ||||
\(793\) | 633.933 | − | 549.306i | 0.799411 | − | 0.692693i | ||||
\(794\) | −289.302 | − | 333.873i | −0.364361 | − | 0.420494i | ||||
\(795\) | 323.675 | + | 95.0395i | 0.407138 | + | 0.119547i | ||||
\(796\) | −303.651 | − | 138.673i | −0.381471 | − | 0.174212i | ||||
\(797\) | 130.412 | − | 202.925i | 0.163629 | − | 0.254611i | −0.749751 | − | 0.661720i | \(-0.769827\pi\) |
0.913380 | + | 0.407109i | \(0.133463\pi\) | |||||||
\(798\) | 117.966 | − | 34.6378i | 0.147827 | − | 0.0434058i | ||||
\(799\) | −123.558 | − | 17.7650i | −0.154641 | − | 0.0222340i | ||||
\(800\) | 3.94320 | + | 8.63440i | 0.00492900 | + | 0.0107930i | ||||
\(801\) | −320.117 | + | 46.0258i | −0.399646 | + | 0.0574605i | ||||
\(802\) | 369.705 | + | 575.273i | 0.460979 | + | 0.717297i | ||||
\(803\) | −100.945 | − | 87.4694i | −0.125710 | − | 0.108928i | ||||
\(804\) | 140.941i | 0.175299i | ||||||||
\(805\) | 175.569 | + | 600.584i | 0.218099 | + | 0.746067i | ||||
\(806\) | 447.584 | 0.555315 | ||||||||
\(807\) | 363.639 | − | 419.662i | 0.450606 | − | 0.520027i | ||||
\(808\) | −228.881 | + | 147.093i | −0.283269 | + | 0.182046i | ||||
\(809\) | 138.503 | + | 963.311i | 0.171203 | + | 1.19074i | 0.876348 | + | 0.481679i | \(0.159973\pi\) |
−0.705145 | + | 0.709063i | \(0.749118\pi\) | |||||||
\(810\) | −59.7998 | + | 27.3097i | −0.0738269 | + | 0.0337156i | ||||
\(811\) | 116.841 | − | 812.645i | 0.144070 | − | 1.00203i | −0.781623 | − | 0.623752i | \(-0.785608\pi\) |
0.925693 | − | 0.378277i | \(-0.123483\pi\) | |||||||
\(812\) | 131.022 | + | 446.220i | 0.161357 | + | 0.549532i | ||||
\(813\) | 735.084 | + | 472.410i | 0.904163 | + | 0.581070i | ||||
\(814\) | −32.3352 | + | 70.8043i | −0.0397239 | + | 0.0869832i | ||||
\(815\) | −267.162 | + | 909.870i | −0.327806 | + | 1.11640i | ||||
\(816\) | 51.3880 | − | 44.5280i | 0.0629755 | − | 0.0545686i | ||||
\(817\) | 91.6240 | + | 105.740i | 0.112147 | + | 0.129424i | ||||
\(818\) | 451.328 | + | 132.522i | 0.551745 | + | 0.162007i | ||||
\(819\) | −167.431 | − | 76.4632i | −0.204434 | − | 0.0933617i | ||||
\(820\) | 385.721 | − | 600.194i | 0.470392 | − | 0.731944i | ||||
\(821\) | 78.9888 | − | 23.1932i | 0.0962105 | − | 0.0282500i | −0.233273 | − | 0.972411i | \(-0.574944\pi\) |
0.329484 | + | 0.944161i | \(0.393125\pi\) | |||||||
\(822\) | −536.198 | − | 77.0936i | −0.652309 | − | 0.0937879i | ||||
\(823\) | 378.346 | + | 828.461i | 0.459715 | + | 1.00664i | 0.987552 | + | 0.157290i | \(0.0502758\pi\) |
−0.527837 | + | 0.849345i | \(0.676997\pi\) | |||||||
\(824\) | 7.96229 | − | 1.14480i | 0.00966298 | − | 0.00138933i | ||||
\(825\) | −2.78207 | − | 4.32898i | −0.00337220 | − | 0.00524725i | ||||
\(826\) | −251.530 | − | 217.952i | −0.304516 | − | 0.263865i | ||||
\(827\) | 670.369i | 0.810603i | 0.914183 | + | 0.405302i | \(0.132834\pi\) | ||||
−0.914183 | + | 0.405302i | \(0.867166\pi\) | |||||||
\(828\) | −104.186 | − | 90.4952i | −0.125828 | − | 0.109294i | ||||
\(829\) | 62.8068 | 0.0757622 | 0.0378811 | − | 0.999282i | \(-0.487939\pi\) | ||||
0.0378811 | + | 0.999282i | \(0.487939\pi\) | |||||||
\(830\) | 205.172 | − | 236.781i | 0.247195 | − | 0.285279i | ||||
\(831\) | −63.4959 | + | 40.8063i | −0.0764090 | + | 0.0491051i | ||||
\(832\) | −13.2621 | − | 92.2402i | −0.0159401 | − | 0.110866i | ||||
\(833\) | −189.773 | + | 86.6663i | −0.227818 | + | 0.104041i | ||||
\(834\) | −28.6061 | + | 198.960i | −0.0342999 | + | 0.238561i | ||||
\(835\) | 74.1215 | + | 252.435i | 0.0887683 | + | 0.302317i | ||||
\(836\) | −28.3874 | − | 18.2435i | −0.0339563 | − | 0.0218224i | ||||
\(837\) | −58.6476 | + | 128.420i | −0.0700688 | + | 0.153429i | ||||
\(838\) | 55.9890 | − | 190.681i | 0.0668127 | − | 0.227543i | ||||
\(839\) | 603.136 | − | 522.621i | 0.718875 | − | 0.622909i | −0.216617 | − | 0.976257i | \(-0.569502\pi\) |
0.935492 | + | 0.353348i | \(0.114957\pi\) | |||||||
\(840\) | −87.2784 | − | 100.725i | −0.103903 | − | 0.119910i | ||||
\(841\) | −1063.08 | − | 312.149i | −1.26407 | − | 0.371164i | ||||
\(842\) | 444.627 | + | 203.054i | 0.528061 | + | 0.241157i | ||||
\(843\) | 67.5879 | − | 105.169i | 0.0801755 | − | 0.124756i | ||||
\(844\) | −727.254 | + | 213.541i | −0.861676 | + | 0.253011i | ||||
\(845\) | −170.300 | − | 24.4854i | −0.201538 | − | 0.0289768i | ||||
\(846\) | −22.4166 | − | 49.0855i | −0.0264971 | − | 0.0580207i | ||||
\(847\) | −614.495 | + | 88.3510i | −0.725496 | + | 0.104311i | ||||
\(848\) | −81.5453 | − | 126.887i | −0.0961619 | − | 0.149631i | ||||
\(849\) | −544.808 | − | 472.079i | −0.641706 | − | 0.556041i | ||||
\(850\) | 23.2900i | 0.0274000i | ||||||||
\(851\) | −467.573 | − | 540.911i | −0.549440 | − | 0.635618i | ||||
\(852\) | −106.952 | −0.125531 | ||||||||
\(853\) | 195.538 | − | 225.663i | 0.229236 | − | 0.264552i | −0.629466 | − | 0.777028i | \(-0.716726\pi\) |
0.858702 | + | 0.512476i | \(0.171272\pi\) | |||||||
\(854\) | −451.242 | + | 289.996i | −0.528387 | + | 0.339573i | ||||
\(855\) | −21.0141 | − | 146.156i | −0.0245779 | − | 0.170943i | ||||
\(856\) | −287.395 | + | 131.249i | −0.335742 | + | 0.153328i | ||||
\(857\) | −70.4370 | + | 489.900i | −0.0821902 | + | 0.571645i | 0.906561 | + | 0.422075i | \(0.138698\pi\) |
−0.988751 | + | 0.149570i | \(0.952211\pi\) | |||||||
\(858\) | 14.2329 | + | 48.4728i | 0.0165884 | + | 0.0564951i | ||||
\(859\) | 1096.58 | + | 704.727i | 1.27657 | + | 0.820404i | 0.990461 | − | 0.137793i | \(-0.0440008\pi\) |
0.286112 | + | 0.958196i | \(0.407637\pi\) | |||||||
\(860\) | 63.0067 | − | 137.965i | 0.0732636 | − | 0.160425i | ||||
\(861\) | −177.514 | + | 604.556i | −0.206172 | + | 0.702156i | ||||
\(862\) | 703.680 | − | 609.742i | 0.816334 | − | 0.707358i | ||||
\(863\) | −85.2890 | − | 98.4288i | −0.0988286 | − | 0.114054i | 0.704181 | − | 0.710021i | \(-0.251315\pi\) |
−0.803009 | + | 0.595967i | \(0.796769\pi\) | |||||||
\(864\) | 28.2032 | + | 8.28121i | 0.0326426 | + | 0.00958474i | ||||
\(865\) | 100.923 | + | 46.0901i | 0.116674 | + | 0.0532833i | ||||
\(866\) | 5.96245 | − | 9.27776i | 0.00688505 | − | 0.0107133i | ||||
\(867\) | −320.209 | + | 94.0219i | −0.369330 | + | 0.108445i | ||||
\(868\) | −283.301 | − | 40.7326i | −0.326384 | − | 0.0469270i | ||||
\(869\) | −110.922 | − | 242.885i | −0.127643 | − | 0.279499i | ||||
\(870\) | 552.854 | − | 79.4884i | 0.635465 | − | 0.0913660i | ||||
\(871\) | 256.229 | + | 398.700i | 0.294178 | + | 0.457750i | ||||
\(872\) | 166.394 | + | 144.181i | 0.190819 | + | 0.165345i | ||||
\(873\) | 68.7897i | 0.0787970i | ||||||||
\(874\) | 260.954 | − | 167.266i | 0.298575 | − | 0.191379i | ||||
\(875\) | −634.480 | −0.725121 | ||||||||
\(876\) | −171.135 | + | 197.501i | −0.195360 | + | 0.225457i | ||||
\(877\) | −336.177 | + | 216.048i | −0.383326 | + | 0.246349i | −0.718085 | − | 0.695955i | \(-0.754981\pi\) |
0.334759 | + | 0.942304i | \(0.391345\pi\) | |||||||
\(878\) | 116.953 | + | 813.427i | 0.133204 | + | 0.926454i | ||||
\(879\) | −308.240 | + | 140.768i | −0.350671 | + | 0.160146i | ||||
\(880\) | −5.20588 | + | 36.2077i | −0.00591577 | + | 0.0411451i | ||||
\(881\) | 56.9624 | + | 193.996i | 0.0646565 | + | 0.220200i | 0.985483 | − | 0.169772i | \(-0.0543030\pi\) |
−0.920827 | + | 0.389972i | \(0.872485\pi\) | |||||||
\(882\) | −75.8695 | − | 48.7584i | −0.0860199 | − | 0.0552816i | ||||
\(883\) | −636.186 | + | 1393.05i | −0.720483 | + | 1.57764i | 0.0927438 | + | 0.995690i | \(0.470436\pi\) |
−0.813227 | + | 0.581947i | \(0.802291\pi\) | |||||||
\(884\) | 64.4175 | − | 219.386i | 0.0728705 | − | 0.248174i | ||||
\(885\) | −302.090 | + | 261.763i | −0.341345 | + | 0.295777i | ||||
\(886\) | 345.458 | + | 398.680i | 0.389907 | + | 0.449977i | ||||
\(887\) | −1279.37 | − | 375.657i | −1.44236 | − | 0.423514i | −0.535350 | − | 0.844630i | \(-0.679820\pi\) |
−0.907007 | + | 0.421116i | \(0.861639\pi\) | |||||||
\(888\) | 138.530 | + | 63.2644i | 0.156002 | + | 0.0712437i | ||||
\(889\) | 79.6932 | − | 124.005i | 0.0896436 | − | 0.139488i | ||||
\(890\) | −755.551 | + | 221.850i | −0.848934 | + | 0.249269i | ||||
\(891\) | −15.7727 | − | 2.26777i | −0.0177023 | − | 0.00254520i | ||||
\(892\) | −305.381 | − | 668.692i | −0.342356 | − | 0.749654i | ||||
\(893\) | 119.969 | − | 17.2490i | 0.134344 | − | 0.0193158i | ||||
\(894\) | 30.9611 | + | 48.1764i | 0.0346321 | + | 0.0538886i | ||||
\(895\) | 602.003 | + | 521.639i | 0.672629 | + | 0.582837i | ||||
\(896\) | 59.5910i | 0.0665078i | ||||||||
\(897\) | −459.244 | − | 66.5887i | −0.511978 | − | 0.0742349i | ||||
\(898\) | −1006.69 | −1.12104 | ||||||||
\(899\) | 785.483 | − | 906.495i | 0.873729 | − | 1.00834i | ||||
\(900\) | −8.46973 | + | 5.44316i | −0.00941081 | + | 0.00604796i | ||||
\(901\) | −52.6676 | − | 366.311i | −0.0584546 | − | 0.406561i | ||||
\(902\) | 157.306 | − | 71.8394i | 0.174397 | − | 0.0796446i | ||||
\(903\) | −19.0627 | + | 132.584i | −0.0211104 | + | 0.146826i | ||||
\(904\) | 102.246 | + | 348.219i | 0.113104 | + | 0.385198i | ||||
\(905\) | 675.930 | + | 434.394i | 0.746884 | + | 0.479993i | ||||
\(906\) | 245.732 | − | 538.077i | 0.271227 | − | 0.593904i | ||||
\(907\) | 7.26633 | − | 24.7468i | 0.00801139 | − | 0.0272843i | −0.955390 | − | 0.295346i | \(-0.904565\pi\) |
0.963402 | + | 0.268062i | \(0.0863832\pi\) | |||||||
\(908\) | −399.628 | + | 346.280i | −0.440119 | + | 0.381365i | ||||
\(909\) | −188.977 | − | 218.091i | −0.207895 | − | 0.239924i | ||||
\(910\) | −430.014 | − | 126.263i | −0.472543 | − | 0.138751i | ||||
\(911\) | −796.163 | − | 363.595i | −0.873944 | − | 0.399117i | −0.0726284 | − | 0.997359i | \(-0.523139\pi\) |
−0.801315 | + | 0.598242i | \(0.795866\pi\) | |||||||
\(912\) | −35.6937 | + | 55.5405i | −0.0391378 | + | 0.0608996i | ||||
\(913\) | 72.8663 | − | 21.3955i | 0.0798097 | − | 0.0234343i | ||||
\(914\) | 82.0489 | + | 11.7969i | 0.0897690 | + | 0.0129068i | ||||
\(915\) | 267.616 | + | 585.996i | 0.292476 | + | 0.640433i | ||||
\(916\) | −711.221 | + | 102.258i | −0.776442 | + | 0.111635i | ||||
\(917\) | 417.158 | + | 649.111i | 0.454917 | + | 0.707864i | ||||
\(918\) | 54.5052 | + | 47.2291i | 0.0593739 | + | 0.0514478i | ||||
\(919\) | 960.745i | 1.04542i | 0.852509 | + | 0.522712i | \(0.175080\pi\) | ||||
−0.852509 | + | 0.522712i | \(0.824920\pi\) | |||||||
\(920\) | −282.451 | − | 181.997i | −0.307012 | − | 0.197823i | ||||
\(921\) | −540.497 | −0.586859 | ||||||||
\(922\) | −79.9685 | + | 92.2886i | −0.0867337 | + | 0.100096i | ||||
\(923\) | −302.552 | + | 194.438i | −0.327792 | + | 0.210659i | ||||
\(924\) | −4.59752 | − | 31.9765i | −0.00497567 | − | 0.0346066i | ||||
\(925\) | −47.4492 | + | 21.6693i | −0.0512964 | + | 0.0234263i | ||||
\(926\) | −71.5966 | + | 497.965i | −0.0773181 | + | 0.537759i | ||||
\(927\) | 2.40378 | + | 8.18652i | 0.00259307 | + | 0.00883120i | ||||
\(928\) | −210.089 | − | 135.016i | −0.226389 | − | 0.145491i | ||||
\(929\) | 243.623 | − | 533.460i | 0.262242 | − | 0.574230i | −0.732010 | − | 0.681294i | \(-0.761418\pi\) |
0.994252 | + | 0.107064i | \(0.0341448\pi\) | |||||||
\(930\) | −96.8446 | + | 329.822i | −0.104134 | + | 0.354648i | ||||
\(931\) | 153.089 | − | 132.652i | 0.164435 | − | 0.142484i | ||||
\(932\) | −405.659 | − | 468.155i | −0.435256 | − | 0.502312i | ||||
\(933\) | 621.005 | + | 182.344i | 0.665600 | + | 0.195438i | ||||
\(934\) | −784.613 | − | 358.321i | −0.840056 | − | 0.383641i | ||||
\(935\) | −48.5239 | + | 75.5047i | −0.0518973 | + | 0.0807537i | ||||
\(936\) | 94.8378 | − | 27.8469i | 0.101322 | − | 0.0297509i | ||||
\(937\) | 1099.08 | + | 158.023i | 1.17297 | + | 0.168648i | 0.701130 | − | 0.713034i | \(-0.252679\pi\) |
0.471844 | + | 0.881682i | \(0.343588\pi\) | |||||||
\(938\) | −125.898 | − | 275.678i | −0.134220 | − | 0.293900i | ||||
\(939\) | 784.450 | − | 112.787i | 0.835411 | − | 0.120114i | ||||
\(940\) | −71.0340 | − | 110.531i | −0.0755681 | − | 0.117586i | ||||
\(941\) | −1015.17 | − | 879.653i | −1.07882 | − | 0.934807i | −0.0807440 | − | 0.996735i | \(-0.525730\pi\) |
−0.998081 | + | 0.0619280i | \(0.980275\pi\) | |||||||
\(942\) | 721.707i | 0.766144i | ||||||||
\(943\) | −1.89532 | + | 1588.50i | −0.00200988 | + | 1.68451i | ||||
\(944\) | 178.723 | 0.189326 | ||||||||
\(945\) | 92.5728 | − | 106.835i | 0.0979606 | − | 0.113053i | ||||
\(946\) | 30.9277 | − | 19.8760i | 0.0326931 | − | 0.0210106i | ||||
\(947\) | 2.49738 | + | 17.3696i | 0.00263715 | + | 0.0183418i | 0.991098 | − | 0.133138i | \(-0.0425053\pi\) |
−0.988460 | + | 0.151480i | \(0.951596\pi\) | |||||||
\(948\) | −475.208 | + | 217.020i | −0.501274 | + | 0.228924i | ||||
\(949\) | −125.061 | + | 869.821i | −0.131782 | + | 0.916566i | ||||
\(950\) | −6.37097 | − | 21.6975i | −0.00670628 | − | 0.0228395i | ||||
\(951\) | −193.444 | − | 124.319i | −0.203411 | − | 0.130725i | ||||
\(952\) | −60.7388 | + | 133.000i | −0.0638013 | + | 0.139705i | ||||
\(953\) | 261.161 | − | 889.434i | 0.274041 | − | 0.933299i | −0.701350 | − | 0.712817i | \(-0.747419\pi\) |
0.975391 | − | 0.220482i | \(-0.0707630\pi\) | |||||||
\(954\) | 120.905 | − | 104.765i | 0.126735 | − | 0.109816i | ||||
\(955\) | 555.990 | + | 641.647i | 0.582189 | + | 0.671882i | ||||
\(956\) | 627.436 | + | 184.232i | 0.656314 | + | 0.192711i | ||||
\(957\) | 123.150 | + | 56.2408i | 0.128684 | + | 0.0587678i | ||||
\(958\) | 85.3583 | − | 132.820i | 0.0891005 | − | 0.138643i | ||||
\(959\) | 1117.66 | − | 328.175i | 1.16545 | − | 0.342206i | ||||
\(960\) | 70.8409 | + | 10.1854i | 0.0737926 | + | 0.0106098i | ||||
\(961\) | −92.5557 | − | 202.669i | −0.0963119 | − | 0.210894i | ||||
\(962\) | 506.894 | − | 72.8803i | 0.526917 | − | 0.0757592i | ||||
\(963\) | −181.175 | − | 281.914i | −0.188136 | − | 0.292746i | ||||
\(964\) | −284.780 | − | 246.763i | −0.295415 | − | 0.255978i | ||||
\(965\) | 1453.38i | 1.50609i | ||||||||
\(966\) | 284.622 | + | 83.9416i | 0.294640 | + | 0.0868961i | ||||
\(967\) | −555.630 | −0.574592 | −0.287296 | − | 0.957842i | \(-0.592756\pi\) | ||||
−0.287296 | + | 0.957842i | \(0.592756\pi\) | |||||||
\(968\) | 218.313 | − | 251.947i | 0.225530 | − | 0.260275i | ||||
\(969\) | −136.274 | + | 87.5780i | −0.140634 | + | 0.0903798i | ||||
\(970\) | 23.8366 | + | 165.787i | 0.0245738 | + | 0.170915i | ||||
\(971\) | −988.931 | + | 451.630i | −1.01847 | + | 0.465118i | −0.853451 | − | 0.521173i | \(-0.825495\pi\) |
−0.165016 | + | 0.986291i | \(0.552767\pi\) | |||||||
\(972\) | −4.43694 | + | 30.8596i | −0.00456475 | + | 0.0317485i | ||||
\(973\) | −121.772 | − | 414.716i | −0.125151 | − | 0.426224i | ||||
\(974\) | 411.902 | + | 264.714i | 0.422898 | + | 0.271780i | ||||
\(975\) | −14.0639 | + | 30.7958i | −0.0144246 | + | 0.0315854i | ||||
\(976\) | 81.1501 | − | 276.372i | 0.0831456 | − | 0.283168i | ||||
\(977\) | −612.524 | + | 530.755i | −0.626943 | + | 0.543250i | −0.909343 | − | 0.416047i | \(-0.863415\pi\) |
0.282400 | + | 0.959297i | \(0.408870\pi\) | |||||||
\(978\) | 294.500 | + | 339.871i | 0.301125 | + | 0.347517i | ||||
\(979\) | −183.138 | − | 53.7743i | −0.187067 | − | 0.0549277i | ||||
\(980\) | −199.745 | − | 91.2206i | −0.203822 | − | 0.0930823i | ||||
\(981\) | −126.254 | + | 196.455i | −0.128699 | + | 0.200260i | ||||
\(982\) | 799.084 | − | 234.632i | 0.813731 | − | 0.238933i | ||||
\(983\) | −55.9351 | − | 8.04225i | −0.0569024 | − | 0.00818133i | 0.113805 | − | 0.993503i | \(-0.463696\pi\) |
−0.170707 | + | 0.985322i | \(0.554605\pi\) | |||||||
\(984\) | −140.555 | − | 307.772i | −0.142840 | − | 0.312777i | ||||
\(985\) | 1285.61 | − | 184.842i | 1.30518 | − | 0.187657i | ||||
\(986\) | −331.275 | − | 515.474i | −0.335979 | − | 0.522793i | ||||
\(987\) | 87.6931 | + | 75.9865i | 0.0888481 | + | 0.0769873i | ||||
\(988\) | 222.006i | 0.224703i | ||||||||
\(989\) | 47.6603 | + | 334.316i | 0.0481904 | + | 0.338034i | ||||
\(990\) | −38.7989 | −0.0391909 | ||||||||
\(991\) | 630.959 | − | 728.166i | 0.636689 | − | 0.734779i | −0.342096 | − | 0.939665i | \(-0.611137\pi\) |
0.978786 | + | 0.204886i | \(0.0656824\pi\) | |||||||
\(992\) | 129.297 | − | 83.0941i | 0.130340 | − | 0.0837642i | ||||
\(993\) | 89.0686 | + | 619.486i | 0.0896965 | + | 0.623853i | ||||
\(994\) | 209.198 | − | 95.5373i | 0.210460 | − | 0.0961140i | ||||
\(995\) | 122.689 | − | 853.320i | 0.123305 | − | 0.857608i | ||||
\(996\) | −41.8606 | − | 142.564i | −0.0420287 | − | 0.143137i | ||||
\(997\) | −220.660 | − | 141.809i | −0.221324 | − | 0.142236i | 0.425281 | − | 0.905061i | \(-0.360175\pi\) |
−0.646605 | + | 0.762825i | \(0.723812\pi\) | |||||||
\(998\) | −84.6654 | + | 185.391i | −0.0848351 | + | 0.185763i | ||||
\(999\) | −45.5083 | + | 154.987i | −0.0455539 | + | 0.155142i |
(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 | 138.3.h.a.7.8 | ✓ | 80 | |
3.2 | odd | 2 | 414.3.l.b.145.1 | 80 | |||
23.10 | odd | 22 | inner | 138.3.h.a.79.8 | yes | 80 | |
69.56 | even | 22 | 414.3.l.b.217.1 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.3.h.a.7.8 | ✓ | 80 | 1.1 | even | 1 | trivial | |
138.3.h.a.79.8 | yes | 80 | 23.10 | odd | 22 | inner | |
414.3.l.b.145.1 | 80 | 3.2 | odd | 2 | |||
414.3.l.b.217.1 | 80 | 69.56 | even | 22 |