Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), 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: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.13140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(-0.386111 + 0.280526i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.361 |
Dual form | 495.2.n.e.181.1 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.147481 | + | 0.453901i | −0.104285 | + | 0.320957i | −0.989562 | − | 0.144108i | \(-0.953969\pi\) |
0.885277 | + | 0.465064i | \(0.153969\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.43376 | + | 1.04169i | 0.716879 | + | 0.520843i | ||||
\(5\) | 0.309017 | + | 0.951057i | 0.138197 | + | 0.425325i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.17239 | − | 1.57833i | −0.821086 | − | 0.596554i | 0.0959376 | − | 0.995387i | \(-0.469415\pi\) |
−0.917023 | + | 0.398834i | \(0.869415\pi\) | |||||||
\(8\) | −1.45650 | + | 1.05821i | −0.514950 | + | 0.374133i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.477260 | −0.150923 | ||||||||
\(11\) | 2.79042 | + | 1.79264i | 0.841344 | + | 0.540500i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.44244 | + | 4.43939i | −0.400062 | + | 1.23126i | 0.524886 | + | 0.851172i | \(0.324108\pi\) |
−0.924949 | + | 0.380092i | \(0.875892\pi\) | |||||||
\(14\) | 1.03679 | − | 0.753275i | 0.277095 | − | 0.201321i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.829779 | + | 2.55380i | 0.207445 | + | 0.638449i | ||||
\(17\) | 1.42961 | + | 4.39990i | 0.346732 | + | 1.06713i | 0.960650 | + | 0.277762i | \(0.0895926\pi\) |
−0.613918 | + | 0.789370i | \(0.710407\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.51149 | − | 2.55125i | 0.805592 | − | 0.585297i | −0.106958 | − | 0.994264i | \(-0.534111\pi\) |
0.912549 | + | 0.408967i | \(0.134111\pi\) | |||||||
\(20\) | −0.547647 | + | 1.68548i | −0.122458 | + | 0.376886i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.22522 | + | 1.00220i | −0.261217 | + | 0.213669i | ||||
\(23\) | −2.77222 | −0.578048 | −0.289024 | − | 0.957322i | \(-0.593331\pi\) | ||||
−0.289024 | + | 0.957322i | \(0.593331\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | −1.80231 | − | 1.30945i | −0.353462 | − | 0.256805i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.47055 | − | 4.52590i | −0.277908 | − | 0.855314i | ||||
\(29\) | −2.43790 | − | 1.77124i | −0.452707 | − | 0.328911i | 0.337956 | − | 0.941162i | \(-0.390264\pi\) |
−0.790664 | + | 0.612251i | \(0.790264\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.737407 | − | 2.26951i | 0.132442 | − | 0.407615i | −0.862741 | − | 0.505646i | \(-0.831254\pi\) |
0.995183 | + | 0.0980305i | \(0.0312543\pi\) | |||||||
\(32\) | −4.88221 | −0.863061 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.20796 | −0.378662 | ||||||||
\(35\) | 0.829779 | − | 2.55380i | 0.140258 | − | 0.431670i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.61029 | + | 6.25574i | 1.41552 | + | 1.02844i | 0.992490 | + | 0.122324i | \(0.0390346\pi\) |
0.423033 | + | 0.906114i | \(0.360965\pi\) | |||||||
\(38\) | 0.640135 | + | 1.97013i | 0.103844 | + | 0.319598i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.45650 | − | 1.05821i | −0.230293 | − | 0.167317i | ||||
\(41\) | −1.78826 | + | 1.29924i | −0.279279 | + | 0.202908i | −0.718603 | − | 0.695421i | \(-0.755218\pi\) |
0.439324 | + | 0.898329i | \(0.355218\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.06719 | −1.07774 | −0.538868 | − | 0.842390i | \(-0.681148\pi\) | ||||
−0.538868 | + | 0.842390i | \(0.681148\pi\) | |||||||
\(44\) | 2.13343 | + | 5.47695i | 0.321626 | + | 0.825682i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.408851 | − | 1.25832i | 0.0602819 | − | 0.185528i | ||||
\(47\) | 3.52905 | − | 2.56401i | 0.514765 | − | 0.373999i | −0.299863 | − | 0.953982i | \(-0.596941\pi\) |
0.814628 | + | 0.579983i | \(0.196941\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0650188 | + | 0.200107i | 0.00928840 | + | 0.0285868i | ||||
\(50\) | −0.147481 | − | 0.453901i | −0.0208570 | − | 0.0641913i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.69257 | + | 4.86243i | −0.928092 | + | 0.674298i | ||||
\(53\) | 1.95733 | − | 6.02403i | 0.268859 | − | 0.827464i | −0.721920 | − | 0.691977i | \(-0.756740\pi\) |
0.990779 | − | 0.135487i | \(-0.0432600\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.842610 | + | 3.20780i | −0.113617 | + | 0.432540i | ||||
\(56\) | 4.83428 | 0.646008 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.16351 | − | 0.845342i | 0.152777 | − | 0.110999i | ||||
\(59\) | 9.50375 | + | 6.90488i | 1.23728 | + | 0.898939i | 0.997414 | − | 0.0718667i | \(-0.0228956\pi\) |
0.239869 | + | 0.970805i | \(0.422896\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.23070 | − | 3.78770i | −0.157575 | − | 0.484966i | 0.840838 | − | 0.541287i | \(-0.182063\pi\) |
−0.998413 | + | 0.0563214i | \(0.982063\pi\) | |||||||
\(62\) | 0.921378 | + | 0.669420i | 0.117015 | + | 0.0850164i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.939522 | + | 2.89155i | −0.117440 | + | 0.361444i | ||||
\(65\) | −4.66785 | −0.578975 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.31984 | 0.894260 | 0.447130 | − | 0.894469i | \(-0.352446\pi\) | ||||
0.447130 | + | 0.894469i | \(0.352446\pi\) | |||||||
\(68\) | −2.53359 | + | 7.79760i | −0.307243 | + | 0.945598i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.03679 | + | 0.753275i | 0.123921 | + | 0.0900336i | ||||
\(71\) | −0.369495 | − | 1.13719i | −0.0438510 | − | 0.134960i | 0.926734 | − | 0.375718i | \(-0.122604\pi\) |
−0.970585 | + | 0.240758i | \(0.922604\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.826577 | − | 0.600544i | −0.0967436 | − | 0.0702883i | 0.538362 | − | 0.842714i | \(-0.319043\pi\) |
−0.635105 | + | 0.772425i | \(0.719043\pi\) | |||||||
\(74\) | −4.10935 | + | 2.98562i | −0.477702 | + | 0.347071i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.69223 | 0.882360 | ||||||||
\(77\) | −3.23251 | − | 8.29852i | −0.368378 | − | 0.945704i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.08222 | − | 3.33073i | 0.121759 | − | 0.374736i | −0.871538 | − | 0.490329i | \(-0.836877\pi\) |
0.993297 | + | 0.115593i | \(0.0368767\pi\) | |||||||
\(80\) | −2.17239 | + | 1.57833i | −0.242880 | + | 0.176463i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.325994 | − | 1.00331i | −0.0360000 | − | 0.110797i | ||||
\(83\) | −3.43498 | − | 10.5718i | −0.377038 | − | 1.16040i | −0.942093 | − | 0.335351i | \(-0.891145\pi\) |
0.565055 | − | 0.825053i | \(-0.308855\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.74278 | + | 2.71929i | −0.405961 | + | 0.294948i | ||||
\(86\) | 1.04228 | − | 3.20780i | 0.112392 | − | 0.345906i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.96123 | + | 0.341876i | −0.635469 | + | 0.0364442i | ||||
\(89\) | −2.76978 | −0.293596 | −0.146798 | − | 0.989167i | \(-0.546897\pi\) | ||||
−0.146798 | + | 0.989167i | \(0.546897\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.1404 | − | 7.36742i | 1.06300 | − | 0.772315i | ||||
\(92\) | −3.97470 | − | 2.88779i | −0.414391 | − | 0.301073i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.643336 | + | 1.97998i | 0.0663550 | + | 0.204220i | ||||
\(95\) | 3.51149 | + | 2.55125i | 0.360271 | + | 0.261753i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.72738 | − | 17.6271i | 0.581528 | − | 1.78976i | −0.0312615 | − | 0.999511i | \(-0.509952\pi\) |
0.612789 | − | 0.790247i | \(-0.290048\pi\) | |||||||
\(98\) | −0.100418 | −0.0101438 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.77222 | −0.177222 | ||||||||
\(101\) | 2.19852 | − | 6.76634i | 0.218761 | − | 0.673276i | −0.780104 | − | 0.625649i | \(-0.784834\pi\) |
0.998865 | − | 0.0476270i | \(-0.0151659\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.09056 | − | 4.42505i | −0.600121 | − | 0.436014i | 0.245801 | − | 0.969320i | \(-0.420949\pi\) |
−0.845922 | + | 0.533307i | \(0.820949\pi\) | |||||||
\(104\) | −2.59688 | − | 7.99237i | −0.254645 | − | 0.783716i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.44565 | + | 1.77687i | 0.237542 | + | 0.172584i | ||||
\(107\) | 14.5859 | − | 10.5973i | 1.41008 | − | 1.02448i | 0.416764 | − | 0.909015i | \(-0.363164\pi\) |
0.993312 | − | 0.115465i | \(-0.0368358\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −16.3653 | −1.56751 | −0.783756 | − | 0.621068i | \(-0.786699\pi\) | ||||
−0.783756 | + | 0.621068i | \(0.786699\pi\) | |||||||
\(110\) | −1.33176 | − | 0.855553i | −0.126978 | − | 0.0815738i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.22814 | − | 6.85750i | 0.210539 | − | 0.647973i | ||||
\(113\) | −1.66154 | + | 1.20718i | −0.156304 | + | 0.113562i | −0.663188 | − | 0.748453i | \(-0.730797\pi\) |
0.506884 | + | 0.862014i | \(0.330797\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.856664 | − | 2.63654i | −0.0798843 | − | 0.245859i | ||||
\(116\) | −1.65029 | − | 5.07906i | −0.153225 | − | 0.471579i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.53576 | + | 3.29542i | −0.417551 | + | 0.303368i | ||||
\(119\) | 3.83883 | − | 11.8147i | 0.351905 | − | 1.08305i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.57291 | + | 10.0044i | 0.415720 | + | 0.909493i | ||||
\(122\) | 1.90075 | 0.172086 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.42138 | − | 2.48578i | 0.307249 | − | 0.223229i | ||||
\(125\) | −0.809017 | − | 0.587785i | −0.0723607 | − | 0.0525731i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.0235677 | − | 0.0725340i | −0.00209130 | − | 0.00643635i | 0.950005 | − | 0.312233i | \(-0.101077\pi\) |
−0.952097 | + | 0.305797i | \(0.901077\pi\) | |||||||
\(128\) | −9.07350 | − | 6.59228i | −0.801992 | − | 0.582681i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.688421 | − | 2.11874i | 0.0603785 | − | 0.185826i | ||||
\(131\) | 11.4831 | 1.00328 | 0.501642 | − | 0.865075i | \(-0.332730\pi\) | ||||
0.501642 | + | 0.865075i | \(0.332730\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.6550 | −1.01062 | ||||||||
\(134\) | −1.07954 | + | 3.32248i | −0.0932580 | + | 0.287019i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.73823 | − | 4.89561i | −0.577799 | − | 0.419795i | ||||
\(137\) | 5.66406 | + | 17.4322i | 0.483914 | + | 1.48933i | 0.833548 | + | 0.552447i | \(0.186306\pi\) |
−0.349635 | + | 0.936886i | \(0.613694\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 18.7590 | + | 13.6292i | 1.59111 | + | 1.15601i | 0.902330 | + | 0.431046i | \(0.141855\pi\) |
0.688785 | + | 0.724966i | \(0.258145\pi\) | |||||||
\(140\) | 3.84996 | − | 2.79716i | 0.325381 | − | 0.236403i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.570666 | 0.0478892 | ||||||||
\(143\) | −11.9832 | + | 9.80199i | −1.00209 | + | 0.819683i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.931196 | − | 2.86593i | 0.0773317 | − | 0.238002i | ||||
\(146\) | 0.394492 | − | 0.286615i | 0.0326484 | − | 0.0237205i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.82856 | + | 17.9385i | 0.479104 | + | 1.47453i | ||||
\(149\) | −4.53161 | − | 13.9469i | −0.371244 | − | 1.14257i | −0.945978 | − | 0.324232i | \(-0.894894\pi\) |
0.574733 | − | 0.818341i | \(-0.305106\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.08301 | − | 4.41957i | 0.495028 | − | 0.359659i | −0.312086 | − | 0.950054i | \(-0.601028\pi\) |
0.807115 | + | 0.590394i | \(0.201028\pi\) | |||||||
\(152\) | −2.41473 | + | 7.43178i | −0.195861 | + | 0.602797i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.24344 | − | 0.243361i | 0.341946 | − | 0.0196106i | ||||
\(155\) | 2.38630 | 0.191672 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.8262 | − | 7.86568i | 0.864023 | − | 0.627750i | −0.0649531 | − | 0.997888i | \(-0.520690\pi\) |
0.928977 | + | 0.370139i | \(0.120690\pi\) | |||||||
\(158\) | 1.35221 | + | 0.982441i | 0.107576 | + | 0.0781588i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.50869 | − | 4.64326i | −0.119272 | − | 0.367082i | ||||
\(161\) | 6.02234 | + | 4.37549i | 0.474627 | + | 0.344837i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.238558 | + | 0.734206i | −0.0186853 | + | 0.0575075i | −0.959964 | − | 0.280122i | \(-0.909625\pi\) |
0.941279 | + | 0.337629i | \(0.109625\pi\) | |||||||
\(164\) | −3.91733 | −0.305892 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.30514 | 0.411759 | ||||||||
\(167\) | 2.62118 | − | 8.06716i | 0.202833 | − | 0.624256i | −0.796962 | − | 0.604029i | \(-0.793561\pi\) |
0.999795 | − | 0.0202268i | \(-0.00643884\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.11029 | − | 5.16593i | −0.546946 | − | 0.397379i | ||||
\(170\) | −0.682297 | − | 2.09989i | −0.0523298 | − | 0.161055i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.1326 | − | 7.36179i | −0.772606 | − | 0.561331i | ||||
\(173\) | 4.10876 | − | 2.98519i | 0.312384 | − | 0.226960i | −0.420535 | − | 0.907276i | \(-0.638158\pi\) |
0.732919 | + | 0.680316i | \(0.238158\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.68522 | 0.202984 | ||||||||
\(176\) | −2.26259 | + | 8.61366i | −0.170549 | + | 0.649279i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.408491 | − | 1.25721i | 0.0306177 | − | 0.0942315i | ||||
\(179\) | −9.15568 | + | 6.65199i | −0.684328 | + | 0.497193i | −0.874791 | − | 0.484501i | \(-0.839001\pi\) |
0.190463 | + | 0.981694i | \(0.439001\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.28674 | + | 7.03787i | 0.169972 | + | 0.523121i | 0.999368 | − | 0.0355402i | \(-0.0113152\pi\) |
−0.829396 | + | 0.558661i | \(0.811315\pi\) | |||||||
\(182\) | 1.84856 | + | 5.68929i | 0.137025 | + | 0.421718i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.03774 | − | 2.93359i | 0.297666 | − | 0.216267i | ||||
\(185\) | −3.28884 | + | 10.1220i | −0.241800 | + | 0.744185i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.89819 | + | 14.8403i | −0.285064 | + | 1.08523i | ||||
\(188\) | 7.73070 | 0.563819 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.67589 | + | 1.21761i | −0.121582 | + | 0.0883346i | ||||
\(191\) | −4.17135 | − | 3.03067i | −0.301829 | − | 0.219291i | 0.426554 | − | 0.904462i | \(-0.359728\pi\) |
−0.728382 | + | 0.685171i | \(0.759728\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.24605 | − | 3.83494i | −0.0896925 | − | 0.276045i | 0.896142 | − | 0.443768i | \(-0.146359\pi\) |
−0.985834 | + | 0.167723i | \(0.946359\pi\) | |||||||
\(194\) | 7.15627 | + | 5.19933i | 0.513790 | + | 0.373290i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.115228 | + | 0.354635i | −0.00823056 | + | 0.0253311i | ||||
\(197\) | −11.4176 | −0.813469 | −0.406734 | − | 0.913547i | \(-0.633333\pi\) | ||||
−0.406734 | + | 0.913547i | \(0.633333\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.16644 | −0.508015 | −0.254008 | − | 0.967202i | \(-0.581749\pi\) | ||||
−0.254008 | + | 0.967202i | \(0.581749\pi\) | |||||||
\(200\) | 0.556333 | − | 1.71222i | 0.0393387 | − | 0.121072i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.74701 | + | 1.99582i | 0.193279 | + | 0.140425i | ||||
\(203\) | 2.50047 | + | 7.69565i | 0.175498 | + | 0.540128i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.78826 | − | 1.29924i | −0.124897 | − | 0.0907431i | ||||
\(206\) | 2.90678 | − | 2.11190i | 0.202525 | − | 0.147143i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −12.5342 | −0.869090 | ||||||||
\(209\) | 14.3720 | − | 0.824235i | 0.994132 | − | 0.0570135i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.07649 | − | 3.31309i | 0.0741086 | − | 0.228083i | −0.907140 | − | 0.420829i | \(-0.861739\pi\) |
0.981249 | + | 0.192746i | \(0.0617393\pi\) | |||||||
\(212\) | 9.08148 | − | 6.59808i | 0.623719 | − | 0.453158i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.65897 | + | 8.18348i | 0.181764 | + | 0.559411i | ||||
\(215\) | −2.18388 | − | 6.72129i | −0.148939 | − | 0.458388i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.18397 | + | 3.76638i | −0.351911 | + | 0.255678i | ||||
\(218\) | 2.41358 | − | 7.42824i | 0.163468 | − | 0.503104i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.54963 | + | 3.72148i | −0.306736 | + | 0.250902i | ||||
\(221\) | −21.5950 | −1.45264 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.53103 | + | 6.19816i | −0.571280 | + | 0.415059i | −0.835570 | − | 0.549384i | \(-0.814862\pi\) |
0.264290 | + | 0.964443i | \(0.414862\pi\) | |||||||
\(224\) | 10.6061 | + | 7.70575i | 0.708647 | + | 0.514862i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.302893 | − | 0.932209i | −0.0201481 | − | 0.0620096i | ||||
\(227\) | 0.174762 | + | 0.126972i | 0.0115994 | + | 0.00842743i | 0.593570 | − | 0.804782i | \(-0.297718\pi\) |
−0.581970 | + | 0.813210i | \(0.697718\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.0233956 | + | 0.0720042i | −0.00154602 | + | 0.00475817i | −0.951827 | − | 0.306637i | \(-0.900796\pi\) |
0.950281 | + | 0.311395i | \(0.100796\pi\) | |||||||
\(230\) | 1.32307 | 0.0872407 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.42514 | 0.356178 | ||||||||
\(233\) | −4.67235 | + | 14.3800i | −0.306096 | + | 0.942067i | 0.673170 | + | 0.739488i | \(0.264932\pi\) |
−0.979266 | + | 0.202579i | \(0.935068\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.52905 | + | 2.56401i | 0.230210 | + | 0.167257i | ||||
\(236\) | 6.43336 | + | 19.7999i | 0.418776 | + | 1.28886i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.79655 | + | 3.48489i | 0.310914 | + | 0.225892i | ||||
\(239\) | −18.7406 | + | 13.6158i | −1.21223 | + | 0.880734i | −0.995431 | − | 0.0954825i | \(-0.969561\pi\) |
−0.216796 | + | 0.976217i | \(0.569561\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −21.3349 | −1.37430 | −0.687151 | − | 0.726515i | \(-0.741139\pi\) | ||||
−0.687151 | + | 0.726515i | \(0.741139\pi\) | |||||||
\(242\) | −5.21544 | + | 0.600185i | −0.335261 | + | 0.0385814i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.18107 | − | 6.71266i | 0.139629 | − | 0.429734i | ||||
\(245\) | −0.170221 | + | 0.123673i | −0.0108750 | + | 0.00790119i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.26085 | + | 19.2689i | 0.398368 | + | 1.22605i | ||||
\(248\) | 1.32758 | + | 4.08586i | 0.0843012 | + | 0.259453i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.386111 | − | 0.280526i | 0.0244198 | − | 0.0177420i | ||||
\(251\) | 1.92266 | − | 5.91734i | 0.121357 | − | 0.373499i | −0.871863 | − | 0.489751i | \(-0.837088\pi\) |
0.993220 | + | 0.116251i | \(0.0370878\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.73567 | − | 4.96959i | −0.486338 | − | 0.312435i | ||||
\(254\) | 0.0363991 | 0.00228388 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.588982 | + | 0.427920i | −0.0368113 | + | 0.0267450i | ||||
\(257\) | −11.5611 | − | 8.39964i | −0.721163 | − | 0.523955i | 0.165593 | − | 0.986194i | \(-0.447046\pi\) |
−0.886755 | + | 0.462239i | \(0.847046\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.83126 | − | 27.1798i | −0.548748 | − | 1.68887i | ||||
\(260\) | −6.69257 | − | 4.86243i | −0.415055 | − | 0.301555i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.69355 | + | 5.21220i | −0.104628 | + | 0.322011i | ||||
\(263\) | −4.13132 | −0.254748 | −0.127374 | − | 0.991855i | \(-0.540655\pi\) | ||||
−0.127374 | + | 0.991855i | \(0.540655\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.33404 | 0.389097 | ||||||||
\(266\) | 1.71890 | − | 5.29024i | 0.105393 | − | 0.324365i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 10.4949 | + | 7.62497i | 0.641077 | + | 0.465769i | ||||
\(269\) | 0.520367 | + | 1.60152i | 0.0317273 | + | 0.0976466i | 0.965666 | − | 0.259786i | \(-0.0836521\pi\) |
−0.933939 | + | 0.357433i | \(0.883652\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.9110 | + | 10.8335i | 0.905778 | + | 0.658086i | 0.939943 | − | 0.341330i | \(-0.110877\pi\) |
−0.0341657 | + | 0.999416i | \(0.510877\pi\) | |||||||
\(272\) | −10.0502 | + | 7.30188i | −0.609381 | + | 0.442741i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.74784 | −0.528476 | ||||||||
\(275\) | −3.31118 | + | 0.189896i | −0.199672 | + | 0.0114512i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.05914 | + | 3.25969i | −0.0636375 | + | 0.195856i | −0.977820 | − | 0.209446i | \(-0.932834\pi\) |
0.914183 | + | 0.405303i | \(0.132834\pi\) | |||||||
\(278\) | −8.95290 | + | 6.50466i | −0.536959 | + | 0.390124i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.49388 | + | 4.59768i | 0.0892762 | + | 0.274764i | ||||
\(281\) | 7.05230 | + | 21.7048i | 0.420705 | + | 1.29480i | 0.907047 | + | 0.421029i | \(0.138331\pi\) |
−0.486342 | + | 0.873769i | \(0.661669\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 23.5416 | − | 17.1040i | 1.39941 | − | 1.01673i | 0.404647 | − | 0.914473i | \(-0.367394\pi\) |
0.994758 | − | 0.102255i | \(-0.0326057\pi\) | |||||||
\(284\) | 0.654828 | − | 2.01535i | 0.0388569 | − | 0.119589i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.68183 | − | 6.88482i | −0.158580 | − | 0.407108i | ||||
\(287\) | 5.93542 | 0.350357 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.56201 | + | 2.58795i | −0.209530 | + | 0.152232i | ||||
\(290\) | 1.16351 | + | 0.845342i | 0.0683239 | + | 0.0496402i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.559534 | − | 1.72207i | −0.0327443 | − | 0.100776i | ||||
\(293\) | 17.1621 | + | 12.4690i | 1.00262 | + | 0.728448i | 0.962649 | − | 0.270753i | \(-0.0872725\pi\) |
0.0399740 | + | 0.999201i | \(0.487273\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.63011 | + | 11.1723i | −0.211353 | + | 0.650478i | ||||
\(296\) | −19.1608 | −1.11370 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.99883 | 0.405432 | ||||||||
\(299\) | 3.99878 | − | 12.3070i | 0.231255 | − | 0.711731i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.3527 | + | 11.1544i | 0.884913 | + | 0.642927i | ||||
\(302\) | 1.10892 | + | 3.41289i | 0.0638109 | + | 0.196390i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 9.42913 | + | 6.85066i | 0.540798 | + | 0.392912i | ||||
\(305\) | 3.22201 | − | 2.34093i | 0.184492 | − | 0.134041i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.87520 | −0.392388 | −0.196194 | − | 0.980565i | \(-0.562858\pi\) | ||||
−0.196194 | + | 0.980565i | \(0.562858\pi\) | |||||||
\(308\) | 4.00982 | − | 15.2653i | 0.228481 | − | 0.869823i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.351935 | + | 1.08314i | −0.0199886 | + | 0.0615185i | ||||
\(311\) | 20.3530 | − | 14.7873i | 1.15411 | − | 0.838511i | 0.165089 | − | 0.986279i | \(-0.447209\pi\) |
0.989022 | + | 0.147768i | \(0.0472087\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.57821 | − | 11.0126i | −0.202252 | − | 0.622469i | −0.999815 | − | 0.0192328i | \(-0.993878\pi\) |
0.797563 | − | 0.603236i | \(-0.206122\pi\) | |||||||
\(314\) | 1.97358 | + | 6.07406i | 0.111376 | + | 0.342779i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.02121 | − | 3.64812i | 0.282465 | − | 0.205223i | ||||
\(317\) | −6.40940 | + | 19.7261i | −0.359988 | + | 1.10793i | 0.593073 | + | 0.805149i | \(0.297915\pi\) |
−0.953061 | + | 0.302780i | \(0.902085\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.62759 | − | 9.31278i | −0.203106 | − | 0.521416i | ||||
\(320\) | −3.04036 | −0.169961 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.87422 | + | 2.08825i | −0.160174 | + | 0.116373i | ||||
\(323\) | 16.2453 | + | 11.8029i | 0.903913 | + | 0.656731i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.44244 | − | 4.43939i | −0.0800124 | − | 0.246253i | ||||
\(326\) | −0.298074 | − | 0.216564i | −0.0165088 | − | 0.0119943i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.22972 | − | 3.78469i | 0.0679000 | − | 0.208975i | ||||
\(329\) | −11.7133 | −0.645777 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −32.1415 | −1.76665 | −0.883327 | − | 0.468757i | \(-0.844702\pi\) | ||||
−0.883327 | + | 0.468757i | \(0.844702\pi\) | |||||||
\(332\) | 6.08755 | − | 18.7356i | 0.334098 | − | 1.02825i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.27512 | + | 2.37951i | 0.179207 | + | 0.130201i | ||||
\(335\) | 2.26195 | + | 6.96158i | 0.123584 | + | 0.380352i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.5594 | + | 10.5780i | 0.793100 | + | 0.576221i | 0.908882 | − | 0.417054i | \(-0.136937\pi\) |
−0.115782 | + | 0.993275i | \(0.536937\pi\) | |||||||
\(338\) | 3.39346 | − | 2.46549i | 0.184580 | − | 0.134105i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −8.19888 | −0.444647 | ||||||||
\(341\) | 6.12608 | − | 5.01098i | 0.331746 | − | 0.271360i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.63386 | + | 17.3392i | −0.304200 | + | 0.936231i | ||||
\(344\) | 10.2933 | − | 7.47855i | 0.554980 | − | 0.403217i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.749016 | + | 2.30523i | 0.0402673 | + | 0.123930i | ||||
\(347\) | 2.48753 | + | 7.65583i | 0.133538 | + | 0.410986i | 0.995360 | − | 0.0962243i | \(-0.0306766\pi\) |
−0.861822 | + | 0.507211i | \(0.830677\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.5569 | + | 11.3027i | −0.832741 | + | 0.605022i | −0.920333 | − | 0.391135i | \(-0.872083\pi\) |
0.0875926 | + | 0.996156i | \(0.472083\pi\) | |||||||
\(350\) | −0.396020 | + | 1.21882i | −0.0211682 | + | 0.0651489i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −13.6234 | − | 8.75202i | −0.726131 | − | 0.466484i | ||||
\(353\) | −14.8497 | −0.790371 | −0.395186 | − | 0.918601i | \(-0.629320\pi\) | ||||
−0.395186 | + | 0.918601i | \(0.629320\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.967351 | − | 0.702822i | 0.0513417 | − | 0.0373019i | ||||
\(356\) | −3.97119 | − | 2.88524i | −0.210473 | − | 0.152917i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.66905 | − | 5.13682i | −0.0882123 | − | 0.271489i | ||||
\(359\) | 8.27079 | + | 6.00908i | 0.436516 | + | 0.317147i | 0.784249 | − | 0.620446i | \(-0.213048\pi\) |
−0.347733 | + | 0.937594i | \(0.613048\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.0496143 | + | 0.152697i | −0.00261128 | + | 0.00803670i | ||||
\(362\) | −3.53175 | −0.185625 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 22.2134 | 1.16430 | ||||||||
\(365\) | 0.315724 | − | 0.971700i | 0.0165258 | − | 0.0508611i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.4422 | − | 8.31327i | −0.597280 | − | 0.433949i | 0.247632 | − | 0.968854i | \(-0.420347\pi\) |
−0.844912 | + | 0.534905i | \(0.820347\pi\) | |||||||
\(368\) | −2.30033 | − | 7.07969i | −0.119913 | − | 0.369054i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.10935 | − | 2.98562i | −0.213635 | − | 0.155215i | ||||
\(371\) | −13.7600 | + | 9.99722i | −0.714383 | + | 0.519030i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.4600 | 0.645154 | 0.322577 | − | 0.946543i | \(-0.395451\pi\) | ||||
0.322577 | + | 0.946543i | \(0.395451\pi\) | |||||||
\(374\) | −6.16114 | − | 3.95807i | −0.318585 | − | 0.204667i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.42681 | + | 7.46894i | −0.125153 | + | 0.385181i | ||||
\(377\) | 11.3798 | − | 8.26788i | 0.586088 | − | 0.425818i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.04840 | + | 15.5374i | 0.259319 | + | 0.798102i | 0.992948 | + | 0.118552i | \(0.0378251\pi\) |
−0.733629 | + | 0.679550i | \(0.762175\pi\) | |||||||
\(380\) | 2.37703 | + | 7.31575i | 0.121939 | + | 0.375290i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.99082 | − | 1.44642i | 0.101859 | − | 0.0740051i | ||||
\(383\) | 0.251122 | − | 0.772874i | 0.0128317 | − | 0.0394920i | −0.944436 | − | 0.328696i | \(-0.893391\pi\) |
0.957267 | + | 0.289204i | \(0.0933907\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.89346 | − | 5.63868i | 0.351323 | − | 0.287374i | ||||
\(386\) | 1.92445 | 0.0979522 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 26.5736 | − | 19.3068i | 1.34907 | − | 0.980155i | ||||
\(389\) | −24.5894 | − | 17.8652i | −1.24673 | − | 0.905802i | −0.248702 | − | 0.968580i | \(-0.580004\pi\) |
−0.998028 | + | 0.0627780i | \(0.980004\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.96321 | − | 12.1975i | −0.200428 | − | 0.616854i | ||||
\(392\) | −0.306455 | − | 0.222653i | −0.0154783 | − | 0.0112457i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.68388 | − | 5.18245i | 0.0848327 | − | 0.261088i | ||||
\(395\) | 3.50213 | 0.176211 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.8996 | −0.747789 | −0.373894 | − | 0.927471i | \(-0.621978\pi\) | ||||
−0.373894 | + | 0.927471i | \(0.621978\pi\) | |||||||
\(398\) | 1.05692 | − | 3.25285i | 0.0529784 | − | 0.163051i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.17239 | − | 1.57833i | −0.108619 | − | 0.0789166i | ||||
\(401\) | −3.76049 | − | 11.5736i | −0.187790 | − | 0.577957i | 0.812196 | − | 0.583385i | \(-0.198272\pi\) |
−0.999985 | + | 0.00542792i | \(0.998272\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.01155 | + | 6.54727i | 0.448897 | + | 0.326143i | ||||
\(404\) | 10.2006 | − | 7.41114i | 0.507496 | − | 0.368718i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.86184 | −0.191660 | ||||||||
\(407\) | 12.8121 | + | 32.8913i | 0.635071 | + | 1.63036i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.0809957 | + | 0.249279i | −0.00400498 | + | 0.0123261i | −0.953039 | − | 0.302847i | \(-0.902063\pi\) |
0.949034 | + | 0.315174i | \(0.102063\pi\) | |||||||
\(410\) | 0.853463 | − | 0.620077i | 0.0421495 | − | 0.0306234i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.12288 | − | 12.6889i | −0.203120 | − | 0.625138i | ||||
\(413\) | −9.74764 | − | 30.0002i | −0.479650 | − | 1.47621i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.99290 | − | 6.53372i | 0.441444 | − | 0.320728i | ||||
\(416\) | 7.04232 | − | 21.6740i | 0.345278 | − | 1.06266i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.74548 | + | 6.64503i | −0.0853744 | + | 0.325019i | ||||
\(419\) | 1.26916 | 0.0620023 | 0.0310012 | − | 0.999519i | \(-0.490130\pi\) | ||||
0.0310012 | + | 0.999519i | \(0.490130\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.9999 | − | 17.4369i | 1.16968 | − | 0.849824i | 0.178712 | − | 0.983902i | \(-0.442807\pi\) |
0.990971 | + | 0.134078i | \(0.0428071\pi\) | |||||||
\(422\) | 1.34506 | + | 0.977240i | 0.0654763 | + | 0.0475713i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.52384 | + | 10.8452i | 0.171133 | + | 0.526692i | ||||
\(425\) | −3.74278 | − | 2.71929i | −0.181551 | − | 0.131905i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.30470 | + | 10.1708i | −0.159926 | + | 0.492200i | ||||
\(428\) | 31.9518 | 1.54445 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.37289 | 0.162655 | ||||||||
\(431\) | −9.68919 | + | 29.8203i | −0.466712 | + | 1.43639i | 0.390105 | + | 0.920771i | \(0.372439\pi\) |
−0.856817 | + | 0.515621i | \(0.827561\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.0607 | + | 15.3015i | 1.01212 | + | 0.735345i | 0.964652 | − | 0.263528i | \(-0.0848863\pi\) |
0.0474634 | + | 0.998873i | \(0.484886\pi\) | |||||||
\(434\) | −0.945023 | − | 2.90848i | −0.0453625 | − | 0.139612i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −23.4639 | − | 17.0475i | −1.12372 | − | 0.816429i | ||||
\(437\) | −9.73464 | + | 7.07263i | −0.465671 | + | 0.338330i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.4191 | 0.688185 | 0.344093 | − | 0.938936i | \(-0.388187\pi\) | ||||
0.344093 | + | 0.938936i | \(0.388187\pi\) | |||||||
\(440\) | −2.16726 | − | 5.56382i | −0.103320 | − | 0.265245i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.18486 | − | 9.80199i | 0.151488 | − | 0.466233i | ||||
\(443\) | −0.267467 | + | 0.194326i | −0.0127078 | + | 0.00923273i | −0.594121 | − | 0.804376i | \(-0.702500\pi\) |
0.581413 | + | 0.813608i | \(0.302500\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.855908 | − | 2.63421i | −0.0405739 | − | 0.124874i | ||||
\(446\) | −1.55518 | − | 4.78636i | −0.0736400 | − | 0.226641i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.60483 | − | 4.79869i | 0.312049 | − | 0.226717i | ||||
\(449\) | −2.62920 | + | 8.09185i | −0.124080 | + | 0.381878i | −0.993732 | − | 0.111786i | \(-0.964343\pi\) |
0.869653 | + | 0.493664i | \(0.164343\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.31906 | + | 0.419748i | −0.344641 | + | 0.0197652i | ||||
\(452\) | −3.63974 | −0.171199 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.0834069 | + | 0.0605986i | −0.00391448 | + | 0.00284404i | ||||
\(455\) | 10.1404 | + | 7.36742i | 0.475388 | + | 0.345390i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.351807 | + | 1.08275i | 0.0164569 | + | 0.0506490i | 0.958948 | − | 0.283583i | \(-0.0915231\pi\) |
−0.942491 | + | 0.334232i | \(0.891523\pi\) | |||||||
\(458\) | −0.0292324 | − | 0.0212386i | −0.00136594 | − | 0.000992413i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.51820 | − | 4.67254i | 0.0707864 | − | 0.217858i | ||||
\(461\) | −14.5073 | −0.675670 | −0.337835 | − | 0.941205i | \(-0.609695\pi\) | ||||
−0.337835 | + | 0.941205i | \(0.609695\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.89739 | −0.227601 | −0.113801 | − | 0.993504i | \(-0.536302\pi\) | ||||
−0.113801 | + | 0.993504i | \(0.536302\pi\) | |||||||
\(464\) | 2.50047 | − | 7.69565i | 0.116081 | − | 0.357261i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.83803 | − | 4.24157i | −0.270441 | − | 0.196487i | ||||
\(467\) | −10.0193 | − | 30.8361i | −0.463637 | − | 1.42693i | −0.860689 | − | 0.509131i | \(-0.829967\pi\) |
0.397053 | − | 0.917796i | \(-0.370033\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15.9015 | − | 11.5531i | −0.734264 | − | 0.533474i | ||||
\(470\) | −1.68428 | + | 1.22370i | −0.0776898 | + | 0.0564450i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −21.1490 | −0.973461 | ||||||||
\(473\) | −19.7204 | − | 12.6689i | −0.906747 | − | 0.582516i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.34127 | + | 4.12801i | −0.0615417 | + | 0.189406i | ||||
\(476\) | 17.8111 | − | 12.9406i | 0.816373 | − | 0.593129i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.41635 | − | 10.5145i | −0.156260 | − | 0.480920i | ||||
\(479\) | −5.48054 | − | 16.8674i | −0.250412 | − | 0.770690i | −0.994699 | − | 0.102830i | \(-0.967210\pi\) |
0.744287 | − | 0.667860i | \(-0.232790\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −40.1915 | + | 29.2009i | −1.83258 | + | 1.33144i | ||||
\(482\) | 3.14650 | − | 9.68394i | 0.143319 | − | 0.441091i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.86502 | + | 19.1075i | −0.175683 | + | 0.868521i | ||||
\(485\) | 18.5342 | 0.841595 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.9347 | − | 10.8507i | 0.676754 | − | 0.491691i | −0.195525 | − | 0.980699i | \(-0.562641\pi\) |
0.872279 | + | 0.489008i | \(0.162641\pi\) | |||||||
\(488\) | 5.80069 | + | 4.21445i | 0.262585 | + | 0.190779i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.0310309 | − | 0.0955032i | −0.00140183 | − | 0.00431440i | ||||
\(491\) | −9.25018 | − | 6.72065i | −0.417455 | − | 0.303299i | 0.359158 | − | 0.933277i | \(-0.383064\pi\) |
−0.776613 | + | 0.629978i | \(0.783064\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.30802 | − | 13.2587i | 0.194023 | − | 0.597142i | ||||
\(494\) | −9.66954 | −0.435053 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.40774 | 0.287716 | ||||||||
\(497\) | −0.992176 | + | 3.05360i | −0.0445052 | + | 0.136973i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.80335 | − | 6.39601i | −0.394092 | − | 0.286325i | 0.373038 | − | 0.927816i | \(-0.378316\pi\) |
−0.767130 | + | 0.641491i | \(0.778316\pi\) | |||||||
\(500\) | −0.547647 | − | 1.68548i | −0.0244915 | − | 0.0753771i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.40233 | + | 1.74540i | 0.107221 | + | 0.0779009i | ||||
\(503\) | 36.1830 | − | 26.2885i | 1.61332 | − | 1.17215i | 0.761831 | − | 0.647776i | \(-0.224301\pi\) |
0.851490 | − | 0.524371i | \(-0.175699\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.11455 | 0.316594 | ||||||||
\(506\) | 3.39657 | − | 2.77831i | 0.150996 | − | 0.123511i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.0417673 | − | 0.128546i | 0.00185312 | − | 0.00570332i | ||||
\(509\) | −11.1720 | + | 8.11693i | −0.495190 | + | 0.359777i | −0.807177 | − | 0.590310i | \(-0.799006\pi\) |
0.311987 | + | 0.950086i | \(0.399006\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.847790 | + | 2.60923i | 0.0375040 | + | 0.115425i | ||||
\(512\) | −7.03891 | − | 21.6635i | −0.311079 | − | 0.957402i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.51766 | − | 4.00881i | 0.243374 | − | 0.176821i | ||||
\(515\) | 2.32639 | − | 7.15989i | 0.102513 | − | 0.315502i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.4439 | − | 0.828356i | 0.635241 | − | 0.0364311i | ||||
\(518\) | 13.6394 | 0.599281 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 6.79871 | − | 4.93955i | 0.298143 | − | 0.216614i | ||||
\(521\) | −2.95269 | − | 2.14525i | −0.129360 | − | 0.0939852i | 0.521224 | − | 0.853420i | \(-0.325476\pi\) |
−0.650584 | + | 0.759435i | \(0.725476\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.54109 | − | 4.74299i | −0.0673872 | − | 0.207396i | 0.911693 | − | 0.410873i | \(-0.134776\pi\) |
−0.979080 | + | 0.203476i | \(0.934776\pi\) | |||||||
\(524\) | 16.4640 | + | 11.9618i | 0.719233 | + | 0.522553i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.609292 | − | 1.87521i | 0.0265664 | − | 0.0817630i | ||||
\(527\) | 11.0398 | 0.480901 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.3148 | −0.665860 | ||||||||
\(530\) | −0.934153 | + | 2.87503i | −0.0405770 | + | 0.124883i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −16.7105 | − | 12.1409i | −0.724493 | − | 0.526375i | ||||
\(533\) | −3.18839 | − | 9.81284i | −0.138104 | − | 0.425041i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.5859 | + | 10.5973i | 0.630605 | + | 0.458161i | ||||
\(536\) | −10.6613 | + | 7.74591i | −0.460499 | + | 0.334572i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.803678 | −0.0346490 | ||||||||
\(539\) | −0.177290 | + | 0.674939i | −0.00763640 | + | 0.0290717i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.0765109 | − | 0.235476i | 0.00328946 | − | 0.0101239i | −0.949398 | − | 0.314075i | \(-0.898306\pi\) |
0.952688 | + | 0.303951i | \(0.0983058\pi\) | |||||||
\(542\) | −7.11642 | + | 5.17038i | −0.305676 | + | 0.222087i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6.97967 | − | 21.4812i | −0.299251 | − | 0.921000i | ||||
\(545\) | −5.05716 | − | 15.5643i | −0.216625 | − | 0.666703i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.4779 | − | 14.8780i | 0.875570 | − | 0.636139i | −0.0565056 | − | 0.998402i | \(-0.517996\pi\) |
0.932076 | + | 0.362263i | \(0.117996\pi\) | |||||||
\(548\) | −10.0380 | + | 30.8937i | −0.428801 | + | 1.31971i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.402144 | − | 1.53096i | 0.0171475 | − | 0.0652802i | ||||
\(551\) | −13.0796 | −0.557208 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.60799 | + | 5.52753i | −0.323525 | + | 0.235054i | ||||
\(554\) | −1.32338 | − | 0.961489i | −0.0562249 | − | 0.0408498i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12.6985 | + | 39.0819i | 0.538536 | + | 1.65744i | ||||
\(557\) | −31.2824 | − | 22.7280i | −1.32548 | − | 0.963015i | −0.999847 | − | 0.0175177i | \(-0.994424\pi\) |
−0.325630 | − | 0.945497i | \(-0.605576\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.1940 | − | 31.3740i | 0.431161 | − | 1.32698i | ||||
\(560\) | 7.21041 | 0.304695 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.8919 | −0.459447 | ||||||||
\(563\) | −4.30653 | + | 13.2541i | −0.181498 | + | 0.558595i | −0.999870 | − | 0.0160940i | \(-0.994877\pi\) |
0.818372 | + | 0.574689i | \(0.194877\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.66154 | − | 1.20718i | −0.0699013 | − | 0.0507863i | ||||
\(566\) | 4.29157 | + | 13.2081i | 0.180388 | + | 0.555178i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.74155 | + | 1.26531i | 0.0730739 | + | 0.0530913i | ||||
\(569\) | 22.5817 | − | 16.4065i | 0.946672 | − | 0.687798i | −0.00334520 | − | 0.999994i | \(-0.501065\pi\) |
0.950017 | + | 0.312197i | \(0.101065\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −31.4113 | −1.31452 | −0.657261 | − | 0.753663i | \(-0.728285\pi\) | ||||
−0.657261 | + | 0.753663i | \(0.728285\pi\) | |||||||
\(572\) | −27.3917 | + | 1.57091i | −1.14530 | + | 0.0656831i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.875365 | + | 2.69410i | −0.0365370 | + | 0.112449i | ||||
\(575\) | 2.24278 | − | 1.62947i | 0.0935302 | − | 0.0679537i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.40744 | + | 19.7201i | 0.266745 | + | 0.820958i | 0.991286 | + | 0.131726i | \(0.0420519\pi\) |
−0.724541 | + | 0.689232i | \(0.757948\pi\) | |||||||
\(578\) | −0.649343 | − | 1.99847i | −0.0270091 | − | 0.0831255i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.32051 | − | 3.13903i | 0.179399 | − | 0.130341i | ||||
\(581\) | −9.22368 | + | 28.3876i | −0.382663 | + | 1.17771i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.2607 | − | 13.3008i | 0.673448 | − | 0.550864i | ||||
\(584\) | 1.83941 | 0.0761153 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.19080 | + | 5.95097i | −0.338359 | + | 0.245832i | ||||
\(587\) | 12.3267 | + | 8.95591i | 0.508779 | + | 0.369650i | 0.812360 | − | 0.583156i | \(-0.198182\pi\) |
−0.303581 | + | 0.952806i | \(0.598182\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.20067 | − | 9.85066i | −0.131881 | − | 0.405889i | ||||
\(590\) | −4.53576 | − | 3.29542i | −0.186734 | − | 0.135670i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.83126 | + | 27.1798i | −0.362962 | + | 1.11708i | ||||
\(593\) | −27.5413 | −1.13098 | −0.565492 | − | 0.824754i | \(-0.691314\pi\) | ||||
−0.565492 | + | 0.824754i | \(0.691314\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.4227 | 0.509281 | ||||||||
\(596\) | 8.03103 | − | 24.7170i | 0.328964 | − | 1.01245i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.99640 | + | 3.63010i | 0.204318 | + | 0.148446i | ||||
\(599\) | 8.26097 | + | 25.4247i | 0.337534 | + | 1.03882i | 0.965460 | + | 0.260551i | \(0.0839041\pi\) |
−0.627926 | + | 0.778273i | \(0.716096\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.94714 | − | 1.41468i | −0.0794255 | − | 0.0577060i | 0.547364 | − | 0.836895i | \(-0.315631\pi\) |
−0.626789 | + | 0.779189i | \(0.715631\pi\) | |||||||
\(602\) | −7.32722 | + | 5.32353i | −0.298635 | + | 0.216971i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.3254 | 0.542202 | ||||||||
\(605\) | −8.10166 | + | 7.44064i | −0.329379 | + | 0.302505i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.18067 | − | 9.78909i | 0.129099 | − | 0.397327i | −0.865526 | − | 0.500864i | \(-0.833016\pi\) |
0.994626 | + | 0.103536i | \(0.0330159\pi\) | |||||||
\(608\) | −17.1438 | + | 12.4557i | −0.695275 | + | 0.505147i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.587364 | + | 1.80772i | 0.0237817 | + | 0.0731924i | ||||
\(611\) | 6.29216 | + | 19.3653i | 0.254553 | + | 0.783435i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −22.5519 | + | 16.3849i | −0.910861 | + | 0.661779i | −0.941232 | − | 0.337759i | \(-0.890331\pi\) |
0.0303715 | + | 0.999539i | \(0.490331\pi\) | |||||||
\(614\) | 1.01396 | − | 3.12066i | 0.0409203 | − | 0.125940i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 13.4897 | + | 8.66611i | 0.543515 | + | 0.349168i | ||||
\(617\) | 28.7216 | 1.15629 | 0.578143 | − | 0.815935i | \(-0.303778\pi\) | ||||
0.578143 | + | 0.815935i | \(0.303778\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.3621 | + | 13.3408i | −0.738035 | + | 0.536214i | −0.892095 | − | 0.451848i | \(-0.850765\pi\) |
0.154060 | + | 0.988061i | \(0.450765\pi\) | |||||||
\(620\) | 3.42138 | + | 2.48578i | 0.137406 | + | 0.0998312i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.71029 | + | 11.4191i | 0.148769 | + | 0.457864i | ||||
\(623\) | 6.01703 | + | 4.37163i | 0.241067 | + | 0.175146i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | 5.52635 | 0.220877 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 23.7157 | 0.946360 | ||||||||
\(629\) | −15.2152 | + | 46.8277i | −0.606671 | + | 1.86714i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.0864 | − | 16.7733i | −0.919056 | − | 0.667733i | 0.0242327 | − | 0.999706i | \(-0.492286\pi\) |
−0.943289 | + | 0.331973i | \(0.892286\pi\) | |||||||
\(632\) | 1.94835 | + | 5.99641i | 0.0775013 | + | 0.238524i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.00844 | − | 5.81847i | −0.318056 | − | 0.231081i | ||||
\(635\) | 0.0617011 | − | 0.0448285i | 0.00244853 | − | 0.00177896i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.982140 | −0.0389138 | ||||||||
\(638\) | 4.76209 | − | 0.273106i | 0.188533 | − | 0.0108124i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.46577 | − | 10.6665i | 0.136997 | − | 0.421632i | ||||
\(641\) | 1.92040 | − | 1.39526i | 0.0758514 | − | 0.0551093i | −0.549213 | − | 0.835682i | \(-0.685073\pi\) |
0.625065 | + | 0.780573i | \(0.285073\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.51053 | + | 10.8043i | 0.138442 | + | 0.426080i | 0.996109 | − | 0.0881244i | \(-0.0280873\pi\) |
−0.857668 | + | 0.514204i | \(0.828087\pi\) | |||||||
\(644\) | 4.07670 | + | 12.5468i | 0.160644 | + | 0.494413i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.75323 | + | 5.63305i | −0.305047 | + | 0.221630i | ||||
\(647\) | 14.9632 | − | 46.0520i | 0.588264 | − | 1.81049i | 0.00251822 | − | 0.999997i | \(-0.499198\pi\) |
0.585746 | − | 0.810495i | \(-0.300802\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 14.1415 | + | 36.3043i | 0.555104 | + | 1.42507i | ||||
\(650\) | 2.22778 | 0.0873806 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.10685 | + | 0.804171i | −0.0433475 | + | 0.0314938i | ||||
\(653\) | 24.0722 | + | 17.4894i | 0.942016 | + | 0.684415i | 0.948905 | − | 0.315562i | \(-0.102193\pi\) |
−0.00688905 | + | 0.999976i | \(0.502193\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.54847 | + | 10.9211i | 0.138650 | + | 0.426722i | ||||
\(656\) | −4.80186 | − | 3.48875i | −0.187481 | − | 0.136213i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.72750 | − | 5.31669i | 0.0673449 | − | 0.207266i | ||||
\(659\) | 28.4931 | 1.10993 | 0.554966 | − | 0.831873i | \(-0.312731\pi\) | ||||
0.554966 | + | 0.831873i | \(0.312731\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.02875 | −0.0400139 | −0.0200070 | − | 0.999800i | \(-0.506369\pi\) | ||||
−0.0200070 | + | 0.999800i | \(0.506369\pi\) | |||||||
\(662\) | 4.74027 | − | 14.5890i | 0.184236 | − | 0.567019i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 16.1902 | + | 11.7629i | 0.628301 | + | 0.456488i | ||||
\(665\) | −3.60161 | − | 11.0846i | −0.139664 | − | 0.429843i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.75841 | + | 4.91027i | 0.261687 | + | 0.190127i | ||||
\(668\) | 12.1616 | − | 8.83591i | 0.470546 | − | 0.341872i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.49346 | −0.134964 | ||||||||
\(671\) | 3.35580 | − | 12.7755i | 0.129549 | − | 0.493192i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.02863 | − | 12.3988i | 0.155292 | − | 0.477940i | −0.842898 | − | 0.538073i | \(-0.819152\pi\) |
0.998190 | + | 0.0601327i | \(0.0191524\pi\) | |||||||
\(674\) | −6.94861 | + | 5.04846i | −0.267651 | + | 0.194459i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.81316 | − | 14.8134i | −0.185122 | − | 0.569746i | ||||
\(677\) | 11.4665 | + | 35.2903i | 0.440694 | + | 1.35632i | 0.887138 | + | 0.461505i | \(0.152690\pi\) |
−0.446444 | + | 0.894812i | \(0.647310\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −40.2635 | + | 29.2531i | −1.54517 | + | 1.12263i | ||||
\(680\) | 2.57378 | − | 7.92127i | 0.0986998 | − | 0.303767i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.37101 | + | 3.51966i | 0.0524986 | + | 0.134775i | ||||
\(683\) | 32.8992 | 1.25885 | 0.629426 | − | 0.777061i | \(-0.283290\pi\) | ||||
0.629426 | + | 0.777061i | \(0.283290\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.8287 | + | 10.7737i | −0.566576 | + | 0.411641i | ||||
\(686\) | −7.03941 | − | 5.11443i | −0.268766 | − | 0.195270i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.86420 | − | 18.0481i | −0.223570 | − | 0.688079i | ||||
\(689\) | 23.9197 | + | 17.3787i | 0.911267 | + | 0.662074i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.3409 | − | 34.9036i | 0.431427 | − | 1.32780i | −0.465277 | − | 0.885165i | \(-0.654045\pi\) |
0.896704 | − | 0.442631i | \(-0.145955\pi\) | |||||||
\(692\) | 9.00061 | 0.342152 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.84185 | −0.145835 | ||||||||
\(695\) | −7.16529 | + | 22.0525i | −0.271795 | + | 0.836498i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.27305 | − | 6.01072i | −0.313364 | − | 0.227672i | ||||
\(698\) | −2.83597 | − | 8.72823i | −0.107343 | − | 0.330368i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.84996 | + | 2.79716i | 0.145515 | + | 0.105723i | ||||
\(701\) | −29.3266 | + | 21.3070i | −1.10765 | + | 0.804755i | −0.982292 | − | 0.187356i | \(-0.940008\pi\) |
−0.125359 | + | 0.992111i | \(0.540008\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 46.1949 | 1.74227 | ||||||||
\(704\) | −7.80516 | + | 6.38443i | −0.294168 | + | 0.240622i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.19006 | − | 6.74031i | 0.0824240 | − | 0.253675i | ||||
\(707\) | −15.4556 | + | 11.2291i | −0.581267 | + | 0.422315i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.74811 | − | 17.6909i | −0.215875 | − | 0.664394i | −0.999090 | − | 0.0426440i | \(-0.986422\pi\) |
0.783216 | − | 0.621750i | \(-0.213578\pi\) | |||||||
\(710\) | 0.176345 | + | 0.542735i | 0.00661812 | + | 0.0203685i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.03418 | − | 2.93100i | 0.151187 | − | 0.109844i | ||||
\(713\) | −2.04426 | + | 6.29158i | −0.0765580 | + | 0.235621i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −13.0253 | − | 8.36775i | −0.487117 | − | 0.312936i | ||||
\(716\) | −20.0563 | −0.749540 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.94732 | + | 2.86790i | −0.147313 | + | 0.107029i | ||||
\(719\) | −30.2799 | − | 21.9996i | −1.12925 | − | 0.820447i | −0.143664 | − | 0.989627i | \(-0.545888\pi\) |
−0.985585 | + | 0.169179i | \(0.945888\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.24687 | + | 19.2259i | 0.232645 | + | 0.716009i | ||||
\(722\) | −0.0619923 | − | 0.0450400i | −0.00230711 | − | 0.00167622i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.05262 | + | 12.4727i | −0.150614 | + | 0.463544i | ||||
\(725\) | 3.01341 | 0.111915 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.6011 | 0.541526 | 0.270763 | − | 0.962646i | \(-0.412724\pi\) | ||||
0.270763 | + | 0.962646i | \(0.412724\pi\) | |||||||
\(728\) | −6.97319 | + | 21.4613i | −0.258443 | + | 0.795407i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.394492 | + | 0.286615i | 0.0146008 | + | 0.0106081i | ||||
\(731\) | −10.1033 | − | 31.0949i | −0.373686 | − | 1.15009i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −33.8468 | − | 24.5911i | −1.25016 | − | 0.908293i | −0.251927 | − | 0.967746i | \(-0.581064\pi\) |
−0.998231 | + | 0.0594528i | \(0.981064\pi\) | |||||||
\(734\) | 5.46092 | − | 3.96759i | 0.201566 | − | 0.146447i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.5346 | 0.498891 | ||||||||
\(737\) | 20.4254 | + | 13.1218i | 0.752381 | + | 0.483348i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.68654 | + | 11.3460i | −0.135612 | + | 0.417370i | −0.995685 | − | 0.0928012i | \(-0.970418\pi\) |
0.860073 | + | 0.510171i | \(0.170418\pi\) | |||||||
\(740\) | −15.2594 | + | 11.0866i | −0.560945 | + | 0.407550i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.50841 | − | 7.72008i | −0.0920865 | − | 0.283413i | ||||
\(743\) | −14.4250 | − | 44.3956i | −0.529202 | − | 1.62872i | −0.755854 | − | 0.654740i | \(-0.772778\pi\) |
0.226652 | − | 0.973976i | \(-0.427222\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.8639 | − | 8.61964i | 0.434660 | − | 0.315799i | ||||
\(746\) | −1.83762 | + | 5.65561i | −0.0672800 | + | 0.207067i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −21.0480 | + | 17.2168i | −0.769593 | + | 0.629508i | ||||
\(749\) | −48.4124 | −1.76895 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.6530 | + | 8.46642i | −0.425225 | + | 0.308944i | −0.779737 | − | 0.626108i | \(-0.784647\pi\) |
0.354512 | + | 0.935052i | \(0.384647\pi\) | |||||||
\(752\) | 9.47628 | + | 6.88492i | 0.345564 | + | 0.251067i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.07450 | + | 6.38465i | 0.0755488 | + | 0.232515i | ||||
\(755\) | 6.08301 | + | 4.41957i | 0.221383 | + | 0.160845i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.96330 | + | 15.2755i | −0.180394 | + | 0.555196i | −0.999839 | − | 0.0179624i | \(-0.994282\pi\) |
0.819444 | + | 0.573159i | \(0.194282\pi\) | |||||||
\(758\) | −7.79698 | −0.283199 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.81423 | −0.283452 | ||||||||
\(761\) | 12.0158 | − | 36.9809i | 0.435573 | − | 1.34056i | −0.456925 | − | 0.889505i | \(-0.651049\pi\) |
0.892498 | − | 0.451051i | \(-0.148951\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 35.5518 | + | 25.8299i | 1.28706 | + | 0.935106i | ||||
\(764\) | −2.82371 | − | 8.69049i | −0.102158 | − | 0.314411i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.313773 | + | 0.227969i | 0.0113371 | + | 0.00823686i | ||||
\(767\) | −44.3621 | + | 32.2309i | −1.60182 | + | 1.16379i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 43.0017 | 1.55068 | 0.775341 | − | 0.631543i | \(-0.217578\pi\) | ||||
0.775341 | + | 0.631543i | \(0.217578\pi\) | |||||||
\(770\) | 1.54275 | + | 3.96055i | 0.0555967 | + | 0.142728i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.20828 | − | 6.79637i | 0.0794776 | − | 0.244607i | ||||
\(773\) | −6.35452 | + | 4.61683i | −0.228556 | + | 0.166056i | −0.696170 | − | 0.717877i | \(-0.745114\pi\) |
0.467613 | + | 0.883933i | \(0.345114\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.737407 | + | 2.26951i | 0.0264885 | + | 0.0815231i | ||||
\(776\) | 10.3112 | + | 31.7346i | 0.370150 | + | 1.13920i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.7355 | − | 8.52635i | 0.420739 | − | 0.305684i | ||||
\(779\) | −2.96475 | + | 9.12457i | −0.106223 | + | 0.326922i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.00752 | − | 3.83561i | 0.0360519 | − | 0.137249i | ||||
\(782\) | 6.12096 | 0.218885 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.457082 | + | 0.332090i | −0.0163244 | + | 0.0118603i | ||||
\(785\) | 10.8262 | + | 7.86568i | 0.386403 | + | 0.280738i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.53048 | − | 10.8657i | −0.125848 | − | 0.387321i | 0.868206 | − | 0.496203i | \(-0.165273\pi\) |
−0.994055 | + | 0.108882i | \(0.965273\pi\) | |||||||
\(788\) | −16.3700 | − | 11.8935i | −0.583159 | − | 0.423690i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.516500 | + | 1.58962i | −0.0183762 | + | 0.0565562i | ||||
\(791\) | 5.51483 | 0.196085 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.5903 | 0.660161 | ||||||||
\(794\) | 2.19741 | − | 6.76294i | 0.0779832 | − | 0.240008i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.2749 | − | 7.46518i | −0.364186 | − | 0.264596i | ||||
\(797\) | 1.32414 | + | 4.07529i | 0.0469035 | + | 0.144354i | 0.971766 | − | 0.235949i | \(-0.0758197\pi\) |
−0.924862 | + | 0.380303i | \(0.875820\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.3265 | + | 11.8619i | 0.577592 | + | 0.419645i | ||||
\(800\) | 3.94979 | − | 2.86969i | 0.139646 | − | 0.101459i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.80787 | 0.205083 | ||||||||
\(803\) | −1.22994 | − | 3.15752i | −0.0434038 | − | 0.111427i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.30033 | + | 7.07969i | −0.0810760 | + | 0.249526i | ||||
\(806\) | −4.30085 | + | 3.12475i | −0.151491 | + | 0.110065i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3.95806 | + | 12.1817i | 0.139244 | + | 0.428549i | ||||
\(809\) | 6.13350 | + | 18.8770i | 0.215642 | + | 0.663679i | 0.999107 | + | 0.0422430i | \(0.0134504\pi\) |
−0.783465 | + | 0.621436i | \(0.786550\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.53899 | − | 1.84468i | 0.0891559 | − | 0.0647756i | −0.542314 | − | 0.840176i | \(-0.682452\pi\) |
0.631470 | + | 0.775400i | \(0.282452\pi\) | |||||||
\(812\) | −4.43138 | + | 13.6384i | −0.155511 | + | 0.478614i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −16.8189 | + | 0.964566i | −0.589504 | + | 0.0338080i | ||||
\(815\) | −0.771990 | −0.0270416 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.8164 | + | 18.0301i | −0.868215 | + | 0.630795i | ||||
\(818\) | −0.101203 | − | 0.0735281i | −0.00353847 | − | 0.00257085i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.21052 | − | 3.72560i | −0.0422733 | − | 0.130104i | ||||
\(821\) | 19.0118 | + | 13.8129i | 0.663516 | + | 0.482073i | 0.867849 | − | 0.496829i | \(-0.165502\pi\) |
−0.204332 | + | 0.978902i | \(0.565502\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.91103 | + | 12.0369i | −0.136330 | + | 0.419580i | −0.995795 | − | 0.0916150i | \(-0.970797\pi\) |
0.859465 | + | 0.511195i | \(0.170797\pi\) | |||||||
\(824\) | 13.5535 | 0.472159 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 15.0547 | 0.523820 | ||||||||
\(827\) | −9.33959 | + | 28.7443i | −0.324770 | + | 0.999538i | 0.646775 | + | 0.762681i | \(0.276117\pi\) |
−0.971545 | + | 0.236857i | \(0.923883\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.61937 | − | 1.17654i | −0.0562432 | − | 0.0408630i | 0.559308 | − | 0.828960i | \(-0.311067\pi\) |
−0.615552 | + | 0.788097i | \(0.711067\pi\) | |||||||
\(830\) | 1.63938 | + | 5.04549i | 0.0569037 | + | 0.175132i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.4815 | − | 8.34180i | −0.398050 | − | 0.289200i | ||||
\(833\) | −0.787500 | + | 0.572152i | −0.0272852 | + | 0.0198239i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.48232 | 0.293543 | ||||||||
\(836\) | 21.4646 | + | 13.7894i | 0.742368 | + | 0.476915i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.187177 | + | 0.576072i | −0.00646592 | + | 0.0199001i | ||||
\(839\) | 28.6185 | − | 20.7925i | 0.988019 | − | 0.717838i | 0.0285326 | − | 0.999593i | \(-0.490917\pi\) |
0.959486 | + | 0.281755i | \(0.0909166\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.15541 | − | 18.9444i | −0.212256 | − | 0.653255i | ||||
\(842\) | 4.37511 | + | 13.4652i | 0.150776 | + | 0.464041i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.99463 | − | 3.62881i | 0.171922 | − | 0.124909i | ||||
\(845\) | 2.71589 | − | 8.35865i | 0.0934295 | − | 0.287546i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.85616 | − | 28.9511i | 0.201220 | − | 0.994771i | ||||
\(848\) | 17.0083 | 0.584067 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.78628 | − | 1.29781i | 0.0612688 | − | 0.0445144i | ||||
\(851\) | −23.8696 | − | 17.3423i | −0.818241 | − | 0.594487i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.62515 | − | 17.3124i | −0.192602 | − | 0.592767i | −0.999996 | − | 0.00275489i | \(-0.999123\pi\) |
0.807395 | − | 0.590012i | \(-0.200877\pi\) | |||||||
\(854\) | −4.12917 | − | 3.00001i | −0.141297 | − | 0.102658i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.0302 | + | 30.8699i | −0.342827 | + | 1.05511i | ||||
\(857\) | 29.2837 | 1.00031 | 0.500156 | − | 0.865935i | \(-0.333276\pi\) | ||||
0.500156 | + | 0.865935i | \(0.333276\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.44030 | 0.287979 | 0.143990 | − | 0.989579i | \(-0.454007\pi\) | ||||
0.143990 | + | 0.989579i | \(0.454007\pi\) | |||||||
\(860\) | 3.87032 | − | 11.9116i | 0.131977 | − | 0.406183i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.1065 | − | 8.79587i | −0.412348 | − | 0.299589i | ||||
\(863\) | 5.97907 | + | 18.4017i | 0.203530 | + | 0.626400i | 0.999771 | + | 0.0214204i | \(0.00681885\pi\) |
−0.796241 | + | 0.604980i | \(0.793181\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.10876 | + | 2.98519i | 0.139702 | + | 0.101500i | ||||
\(866\) | −10.0515 | + | 7.30281i | −0.341562 | + | 0.248160i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.3559 | −0.385446 | ||||||||
\(869\) | 8.99063 | − | 7.35411i | 0.304986 | − | 0.249471i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.5585 | + | 32.4956i | −0.357760 | + | 1.10107i | ||||
\(872\) | 23.8361 | − | 17.3179i | 0.807191 | − | 0.586458i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.77460 | − | 5.46165i | −0.0600266 | − | 0.184743i | ||||
\(875\) | 0.829779 | + | 2.55380i | 0.0280516 | + | 0.0863341i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −14.1691 | + | 10.2945i | −0.478456 | + | 0.347619i | −0.800728 | − | 0.599028i | \(-0.795554\pi\) |
0.322271 | + | 0.946647i | \(0.395554\pi\) | |||||||
\(878\) | −2.12655 | + | 6.54484i | −0.0717675 | + | 0.220878i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.89126 | + | 0.509914i | −0.299724 | + | 0.0171892i | ||||
\(881\) | 20.0575 | 0.675754 | 0.337877 | − | 0.941190i | \(-0.390291\pi\) | ||||
0.337877 | + | 0.941190i | \(0.390291\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −21.7609 | + | 15.8102i | −0.732313 | + | 0.532057i | −0.890294 | − | 0.455386i | \(-0.849501\pi\) |
0.157981 | + | 0.987442i | \(0.449501\pi\) | |||||||
\(884\) | −30.9620 | − | 22.4952i | −1.04136 | − | 0.756595i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.0487585 | − | 0.150063i | −0.00163807 | − | 0.00504148i | ||||
\(887\) | 5.50591 | + | 4.00028i | 0.184870 | + | 0.134316i | 0.676371 | − | 0.736561i | \(-0.263552\pi\) |
−0.491501 | + | 0.870877i | \(0.663552\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.0632845 | + | 0.194770i | −0.00212249 | + | 0.00653237i | ||||
\(890\) | 1.32190 | 0.0443103 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −18.6880 | −0.625720 | ||||||||
\(893\) | 5.85082 | − | 18.0070i | 0.195790 | − | 0.602581i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.15568 | − | 6.65199i | −0.306041 | − | 0.222352i | ||||
\(896\) | 9.30635 | + | 28.6420i | 0.310903 | + | 0.956862i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.28514 | − | 2.38680i | −0.109627 | − | 0.0796484i | ||||
\(899\) | −5.81757 | + | 4.22671i | −0.194027 | + | 0.140969i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 29.3033 | 0.976235 | ||||||||
\(902\) | 0.888901 | − | 3.38403i | 0.0295972 | − | 0.112676i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.14258 | − | 3.51650i | 0.0380017 | − | 0.116957i | ||||
\(905\) | −5.98677 | + | 4.34965i | −0.199007 | + | 0.144587i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.59174 | − | 20.2873i | −0.218875 | − | 0.673629i | −0.998856 | − | 0.0478248i | \(-0.984771\pi\) |
0.779981 | − | 0.625804i | \(-0.215229\pi\) | |||||||
\(908\) | 0.118301 | + | 0.364094i | 0.00392597 | + | 0.0120829i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.83960 | + | 3.51617i | −0.160431 | + | 0.116560i | ||||
\(911\) | 8.52542 | − | 26.2385i | 0.282460 | − | 0.869322i | −0.704689 | − | 0.709516i | \(-0.748913\pi\) |
0.987149 | − | 0.159805i | \(-0.0510866\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.36631 | − | 35.6574i | 0.309980 | − | 1.18009i | ||||
\(914\) | −0.543347 | −0.0179723 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.108549 | + | 0.0788658i | −0.00358657 | + | 0.00260580i | ||||
\(917\) | −24.9458 | − | 18.1242i | −0.823782 | − | 0.598512i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.85685 | − | 5.71479i | −0.0612518 | − | 0.188514i | 0.915748 | − | 0.401752i | \(-0.131599\pi\) |
−0.977000 | + | 0.213239i | \(0.931599\pi\) | |||||||
\(920\) | 4.03774 | + | 2.93359i | 0.133120 | + | 0.0967176i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.13955 | − | 6.58486i | 0.0704624 | − | 0.216861i | ||||
\(923\) | 5.58140 | 0.183714 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.6429 | −0.349937 | ||||||||
\(926\) | 0.722274 | − | 2.22293i | 0.0237354 | − | 0.0730501i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 11.9024 | + | 8.64757i | 0.390714 | + | 0.283870i | ||||
\(929\) | −2.96576 | − | 9.12766i | −0.0973034 | − | 0.299469i | 0.890544 | − | 0.454898i | \(-0.150324\pi\) |
−0.987847 | + | 0.155429i | \(0.950324\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.738836 | + | 0.536796i | 0.0242144 | + | 0.0175928i | ||||
\(932\) | −21.6785 | + | 15.7504i | −0.710103 | + | 0.515920i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.4742 | 0.506332 | ||||||||
\(935\) | −15.3186 | + | 0.878523i | −0.500972 | + | 0.0287308i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.9255 | + | 36.7029i | −0.389589 | + | 1.19903i | 0.543507 | + | 0.839405i | \(0.317096\pi\) |
−0.933096 | + | 0.359628i | \(0.882904\pi\) | |||||||
\(938\) | 7.58916 | − | 5.51385i | 0.247795 | − | 0.180034i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.38892 | + | 7.35233i | 0.0779179 | + | 0.239807i | ||||
\(941\) | 9.01854 | + | 27.7562i | 0.293996 | + | 0.904826i | 0.983557 | + | 0.180599i | \(0.0578035\pi\) |
−0.689561 | + | 0.724228i | \(0.742196\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.95744 | − | 3.60179i | 0.161437 | − | 0.117291i | ||||
\(944\) | −9.74764 | + | 30.0002i | −0.317259 | + | 0.976422i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.65882 | − | 7.08270i | 0.281523 | − | 0.230279i | ||||
\(947\) | −46.7623 | −1.51957 | −0.759785 | − | 0.650174i | \(-0.774696\pi\) | ||||
−0.759785 | + | 0.650174i | \(0.774696\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.85834 | − | 2.80325i | 0.125247 | − | 0.0909972i | ||||
\(950\) | −1.67589 | − | 1.21761i | −0.0543732 | − | 0.0395044i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.91116 | + | 21.2704i | 0.223992 | + | 0.689376i | ||||
\(953\) | −4.97738 | − | 3.61628i | −0.161233 | − | 0.117143i | 0.504243 | − | 0.863562i | \(-0.331772\pi\) |
−0.665476 | + | 0.746419i | \(0.731772\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.59332 | − | 4.90372i | 0.0515585 | − | 0.158681i | ||||
\(956\) | −41.0529 | −1.32774 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 8.46440 | 0.273472 | ||||||||
\(959\) | 15.2093 | − | 46.8093i | 0.491132 | − | 1.51155i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.4726 | + | 14.8742i | 0.660408 | + | 0.479814i | ||||
\(962\) | −7.32680 | − | 22.5496i | −0.236226 | − | 0.727027i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −30.5891 | − | 22.2243i | −0.985209 | − | 0.715796i | ||||
\(965\) | 3.26220 | − | 2.37013i | 0.105014 | − | 0.0762970i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.39625 | 0.109216 | 0.0546080 | − | 0.998508i | \(-0.482609\pi\) | ||||
0.0546080 | + | 0.998508i | \(0.482609\pi\) | |||||||
\(968\) | −17.2472 | − | 9.73233i | −0.554346 | − | 0.312809i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.73345 | + | 8.41270i | −0.0877658 | + | 0.270115i | ||||
\(971\) | −7.60072 | + | 5.52224i | −0.243919 | + | 0.177217i | −0.703027 | − | 0.711163i | \(-0.748169\pi\) |
0.459109 | + | 0.888380i | \(0.348169\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.2404 | − | 59.2158i | −0.616818 | − | 1.89837i | ||||
\(974\) | 2.72255 | + | 8.37914i | 0.0872360 | + | 0.268485i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.65182 | − | 6.28591i | 0.276938 | − | 0.201207i | ||||
\(977\) | 5.11585 | − | 15.7450i | 0.163671 | − | 0.503726i | −0.835265 | − | 0.549847i | \(-0.814686\pi\) |
0.998936 | + | 0.0461210i | \(0.0146860\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −7.72885 | − | 4.96520i | −0.247015 | − | 0.158689i | ||||
\(980\) | −0.372885 | −0.0119114 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 4.41474 | − | 3.20750i | 0.140880 | − | 0.102355i | ||||
\(983\) | 41.1126 | + | 29.8701i | 1.31129 | + | 0.952707i | 0.999997 | + | 0.00239240i | \(0.000761525\pi\) |
0.311291 | + | 0.950315i | \(0.399238\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.52822 | − | 10.8588i | −0.112419 | − | 0.345989i | ||||
\(986\) | 5.38279 | + | 3.91083i | 0.171423 | + | 0.124546i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −11.0956 | + | 34.1488i | −0.352999 | + | 1.08642i | ||||
\(989\) | 19.5918 | 0.622983 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.3642 | 0.360996 | 0.180498 | − | 0.983575i | \(-0.442229\pi\) | ||||
0.180498 | + | 0.983575i | \(0.442229\pi\) | |||||||
\(992\) | −3.60018 | + | 11.0802i | −0.114306 | + | 0.351797i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.23971 | − | 0.900700i | −0.0393211 | − | 0.0285685i | ||||
\(995\) | −2.21455 | − | 6.81569i | −0.0702060 | − | 0.216072i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 23.5945 | + | 17.1424i | 0.747246 | + | 0.542906i | 0.894972 | − | 0.446122i | \(-0.147195\pi\) |
−0.147726 | + | 0.989028i | \(0.547195\pi\) | |||||||
\(998\) | 4.20149 | − | 3.05256i | 0.132996 | − | 0.0966271i | ||||
\(999\) | 0 | 0 |
(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 | 495.2.n.e.361.1 | 8 | ||
3.2 | odd | 2 | 55.2.g.b.31.2 | yes | 8 | ||
11.4 | even | 5 | 5445.2.a.bp.1.2 | 4 | |||
11.5 | even | 5 | inner | 495.2.n.e.181.1 | 8 | ||
11.7 | odd | 10 | 5445.2.a.bi.1.3 | 4 | |||
12.11 | even | 2 | 880.2.bo.h.801.1 | 8 | |||
15.2 | even | 4 | 275.2.z.a.174.3 | 16 | |||
15.8 | even | 4 | 275.2.z.a.174.2 | 16 | |||
15.14 | odd | 2 | 275.2.h.a.251.1 | 8 | |||
33.2 | even | 10 | 605.2.g.e.366.2 | 8 | |||
33.5 | odd | 10 | 55.2.g.b.16.2 | ✓ | 8 | ||
33.8 | even | 10 | 605.2.g.e.81.2 | 8 | |||
33.14 | odd | 10 | 605.2.g.m.81.1 | 8 | |||
33.17 | even | 10 | 605.2.g.k.511.1 | 8 | |||
33.20 | odd | 10 | 605.2.g.m.366.1 | 8 | |||
33.26 | odd | 10 | 605.2.a.j.1.3 | 4 | |||
33.29 | even | 10 | 605.2.a.k.1.2 | 4 | |||
33.32 | even | 2 | 605.2.g.k.251.1 | 8 | |||
132.59 | even | 10 | 9680.2.a.cn.1.3 | 4 | |||
132.71 | even | 10 | 880.2.bo.h.401.1 | 8 | |||
132.95 | odd | 10 | 9680.2.a.cm.1.3 | 4 | |||
165.29 | even | 10 | 3025.2.a.w.1.3 | 4 | |||
165.38 | even | 20 | 275.2.z.a.49.3 | 16 | |||
165.59 | odd | 10 | 3025.2.a.bd.1.2 | 4 | |||
165.104 | odd | 10 | 275.2.h.a.126.1 | 8 | |||
165.137 | even | 20 | 275.2.z.a.49.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
55.2.g.b.16.2 | ✓ | 8 | 33.5 | odd | 10 | ||
55.2.g.b.31.2 | yes | 8 | 3.2 | odd | 2 | ||
275.2.h.a.126.1 | 8 | 165.104 | odd | 10 | |||
275.2.h.a.251.1 | 8 | 15.14 | odd | 2 | |||
275.2.z.a.49.2 | 16 | 165.137 | even | 20 | |||
275.2.z.a.49.3 | 16 | 165.38 | even | 20 | |||
275.2.z.a.174.2 | 16 | 15.8 | even | 4 | |||
275.2.z.a.174.3 | 16 | 15.2 | even | 4 | |||
495.2.n.e.181.1 | 8 | 11.5 | even | 5 | inner | ||
495.2.n.e.361.1 | 8 | 1.1 | even | 1 | trivial | ||
605.2.a.j.1.3 | 4 | 33.26 | odd | 10 | |||
605.2.a.k.1.2 | 4 | 33.29 | even | 10 | |||
605.2.g.e.81.2 | 8 | 33.8 | even | 10 | |||
605.2.g.e.366.2 | 8 | 33.2 | even | 10 | |||
605.2.g.k.251.1 | 8 | 33.32 | even | 2 | |||
605.2.g.k.511.1 | 8 | 33.17 | even | 10 | |||
605.2.g.m.81.1 | 8 | 33.14 | odd | 10 | |||
605.2.g.m.366.1 | 8 | 33.20 | odd | 10 | |||
880.2.bo.h.401.1 | 8 | 132.71 | even | 10 | |||
880.2.bo.h.801.1 | 8 | 12.11 | even | 2 | |||
3025.2.a.w.1.3 | 4 | 165.29 | even | 10 | |||
3025.2.a.bd.1.2 | 4 | 165.59 | odd | 10 | |||
5445.2.a.bi.1.3 | 4 | 11.7 | odd | 10 | |||
5445.2.a.bp.1.2 | 4 | 11.4 | even | 5 | |||
9680.2.a.cm.1.3 | 4 | 132.95 | odd | 10 | |||
9680.2.a.cn.1.3 | 4 | 132.59 | even | 10 |