Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(46,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 16.0.1130304400000000000000.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5x^{14} + 5x^{12} - 10x^{10} + 205x^{8} - 700x^{6} + 1250x^{4} - 1250x^{2} + 625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 136.3 | ||
Root | \(-0.994142 + 0.627414i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 225.136 |
Dual form | 225.2.h.e.91.3 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.757918 | − | 0.550660i | 0.535929 | − | 0.389375i | −0.286642 | − | 0.958038i | \(-0.592539\pi\) |
0.822571 | + | 0.568662i | \(0.192539\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.346820 | + | 1.06740i | −0.173410 | + | 0.533701i | ||||
\(5\) | −1.42964 | + | 1.71934i | −0.639352 | + | 0.768914i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.74037 | 1.03576 | 0.517881 | − | 0.855453i | \(-0.326721\pi\) | ||||
0.517881 | + | 0.855453i | \(0.326721\pi\) | |||||||
\(8\) | 0.903913 | + | 2.78196i | 0.319581 | + | 0.983570i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.136773 | + | 2.09036i | −0.0432514 | + | 0.661031i | ||||
\(11\) | 0.236224 | − | 0.171627i | 0.0712241 | − | 0.0517473i | −0.551603 | − | 0.834106i | \(-0.685984\pi\) |
0.622828 | + | 0.782359i | \(0.285984\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.87714 | + | 2.09036i | 0.797975 | + | 0.579763i | 0.910319 | − | 0.413906i | \(-0.135836\pi\) |
−0.112344 | + | 0.993669i | \(0.535836\pi\) | |||||||
\(14\) | 2.07697 | − | 1.50901i | 0.555095 | − | 0.403300i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.401030 | + | 0.291365i | 0.100258 | + | 0.0728414i | ||||
\(17\) | −1.35198 | − | 4.16097i | −0.327904 | − | 1.00918i | −0.970113 | − | 0.242655i | \(-0.921982\pi\) |
0.642209 | − | 0.766530i | \(-0.278018\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.789953 | + | 2.43123i | 0.181228 | + | 0.557761i | 0.999863 | − | 0.0165523i | \(-0.00526901\pi\) |
−0.818635 | + | 0.574314i | \(0.805269\pi\) | |||||||
\(20\) | −1.33941 | − | 2.12230i | −0.299500 | − | 0.474561i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0845304 | − | 0.260158i | 0.0180219 | − | 0.0554658i | ||||
\(23\) | −4.15146 | + | 3.01621i | −0.865639 | + | 0.628924i | −0.929413 | − | 0.369041i | \(-0.879686\pi\) |
0.0637740 | + | 0.997964i | \(0.479686\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.912286 | − | 4.91607i | −0.182457 | − | 0.983214i | ||||
\(26\) | 3.33172 | 0.653404 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.950415 | + | 2.92508i | −0.179611 | + | 0.552787i | ||||
\(29\) | 2.90477 | − | 8.93997i | 0.539403 | − | 1.66011i | −0.194536 | − | 0.980895i | \(-0.562320\pi\) |
0.733939 | − | 0.679216i | \(-0.237680\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.76373 | − | 8.50589i | −0.496381 | − | 1.52770i | −0.814794 | − | 0.579751i | \(-0.803150\pi\) |
0.318413 | − | 0.947952i | \(-0.396850\pi\) | |||||||
\(32\) | −5.38585 | −0.952093 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.31597 | − | 2.40920i | −0.568685 | − | 0.413174i | ||||
\(35\) | −3.91773 | + | 4.71163i | −0.662217 | + | 0.796411i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.594670 | + | 0.432053i | 0.0977632 | + | 0.0710291i | 0.635593 | − | 0.772024i | \(-0.280756\pi\) |
−0.537830 | + | 0.843053i | \(0.680756\pi\) | |||||||
\(38\) | 1.93750 | + | 1.40767i | 0.314304 | + | 0.228355i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.07541 | − | 2.42305i | −0.960606 | − | 0.383117i | ||||
\(41\) | 9.13695 | + | 6.63838i | 1.42695 | + | 1.03674i | 0.990574 | + | 0.136978i | \(0.0437390\pi\) |
0.436378 | + | 0.899763i | \(0.356261\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.249982 | 0.0381218 | 0.0190609 | − | 0.999818i | \(-0.493932\pi\) | ||||
0.0190609 | + | 0.999818i | \(0.493932\pi\) | |||||||
\(44\) | 0.101267 | + | 0.311669i | 0.0152666 | + | 0.0469859i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.48556 | + | 4.57209i | −0.219034 | + | 0.674117i | ||||
\(47\) | 0.891336 | − | 2.74325i | 0.130015 | − | 0.400144i | −0.864767 | − | 0.502174i | \(-0.832534\pi\) |
0.994781 | + | 0.102030i | \(0.0325337\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.509614 | 0.0728020 | ||||||||
\(50\) | −3.39852 | − | 3.22362i | −0.480623 | − | 0.455889i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.22911 | + | 2.34609i | −0.447797 | + | 0.325344i | ||||
\(53\) | −1.50729 | + | 4.63896i | −0.207042 | + | 0.637210i | 0.792581 | + | 0.609766i | \(0.208737\pi\) |
−0.999623 | + | 0.0274434i | \(0.991263\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0426286 | + | 0.651513i | −0.00574804 | + | 0.0878500i | ||||
\(56\) | 2.47705 | + | 7.62358i | 0.331010 | + | 1.01874i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.72130 | − | 8.37531i | −0.357325 | − | 1.09973i | ||||
\(59\) | 4.12708 | + | 2.99850i | 0.537300 | + | 0.390372i | 0.823081 | − | 0.567923i | \(-0.192253\pi\) |
−0.285781 | + | 0.958295i | \(0.592253\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.61108 | − | 1.17052i | 0.206277 | − | 0.149869i | −0.479850 | − | 0.877350i | \(-0.659309\pi\) |
0.686128 | + | 0.727481i | \(0.259309\pi\) | |||||||
\(62\) | −6.77853 | − | 4.92489i | −0.860875 | − | 0.625462i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.88410 | + | 3.54850i | −0.610512 | + | 0.443563i | ||||
\(65\) | −7.70732 | + | 1.95833i | −0.955975 | + | 0.242901i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.23771 | − | 13.0423i | −0.517719 | − | 1.59337i | −0.778280 | − | 0.627917i | \(-0.783908\pi\) |
0.260562 | − | 0.965457i | \(-0.416092\pi\) | |||||||
\(68\) | 4.91033 | 0.595465 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.374808 | + | 5.72837i | −0.0447982 | + | 0.684671i | ||||
\(71\) | 3.83432 | − | 11.8008i | 0.455050 | − | 1.40050i | −0.416027 | − | 0.909352i | \(-0.636578\pi\) |
0.871077 | − | 0.491147i | \(-0.163422\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.68133 | + | 2.67464i | −0.430867 | + | 0.313043i | −0.781996 | − | 0.623284i | \(-0.785798\pi\) |
0.351128 | + | 0.936327i | \(0.385798\pi\) | |||||||
\(74\) | 0.688626 | 0.0800511 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.86907 | −0.329105 | ||||||||
\(77\) | 0.647340 | − | 0.470320i | 0.0737712 | − | 0.0535979i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.33206 | − | 7.17733i | 0.262377 | − | 0.807513i | −0.729909 | − | 0.683544i | \(-0.760438\pi\) |
0.992286 | − | 0.123969i | \(-0.0395622\pi\) | |||||||
\(80\) | −1.07428 | + | 0.272962i | −0.120109 | + | 0.0305181i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.5806 | 1.16843 | ||||||||
\(83\) | 3.44931 | + | 10.6159i | 0.378611 | + | 1.16524i | 0.941010 | + | 0.338378i | \(0.109878\pi\) |
−0.562400 | + | 0.826866i | \(0.690122\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.08699 | + | 3.62415i | 0.985622 | + | 0.393095i | ||||
\(86\) | 0.189466 | − | 0.137655i | 0.0204306 | − | 0.0148437i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.690983 | + | 0.502029i | 0.0736590 | + | 0.0535164i | ||||
\(89\) | 6.46715 | − | 4.69866i | 0.685516 | − | 0.498057i | −0.189667 | − | 0.981849i | \(-0.560741\pi\) |
0.875183 | + | 0.483792i | \(0.160741\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.88442 | + | 5.72837i | 0.826512 | + | 0.600496i | ||||
\(92\) | −1.77970 | − | 5.47736i | −0.185547 | − | 0.571054i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.835038 | − | 2.56998i | −0.0861276 | − | 0.265073i | ||||
\(95\) | −5.30946 | − | 2.11756i | −0.544739 | − | 0.217258i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.10143 | + | 15.7006i | −0.517971 | + | 1.59415i | 0.259838 | + | 0.965652i | \(0.416331\pi\) |
−0.777810 | + | 0.628500i | \(0.783669\pi\) | |||||||
\(98\) | 0.386246 | − | 0.280624i | 0.0390167 | − | 0.0283473i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.56382 | + | 0.731215i | 0.556382 | + | 0.0731215i | ||||
\(101\) | −9.81876 | −0.977003 | −0.488501 | − | 0.872563i | \(-0.662456\pi\) | ||||
−0.488501 | + | 0.872563i | \(0.662456\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.52235 | − | 4.68531i | 0.150001 | − | 0.461657i | −0.847619 | − | 0.530606i | \(-0.821964\pi\) |
0.997620 | + | 0.0689487i | \(0.0219645\pi\) | |||||||
\(104\) | −3.21462 | + | 9.89359i | −0.315220 | + | 0.970146i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.41209 | + | 4.34595i | 0.137154 | + | 0.422116i | ||||
\(107\) | 4.22786 | 0.408722 | 0.204361 | − | 0.978896i | \(-0.434488\pi\) | ||||
0.204361 | + | 0.978896i | \(0.434488\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.51690 | + | 6.18789i | 0.815771 | + | 0.592692i | 0.915498 | − | 0.402323i | \(-0.131797\pi\) |
−0.0997272 | + | 0.995015i | \(0.531797\pi\) | |||||||
\(110\) | 0.326453 | + | 0.517267i | 0.0311261 | + | 0.0493195i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.09897 | + | 0.798448i | 0.103843 | + | 0.0754463i | ||||
\(113\) | −9.46187 | − | 6.87445i | −0.890098 | − | 0.646694i | 0.0458059 | − | 0.998950i | \(-0.485414\pi\) |
−0.935903 | + | 0.352257i | \(0.885414\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.749167 | − | 11.4499i | 0.0698602 | − | 1.06771i | ||||
\(116\) | 8.53512 | + | 6.20112i | 0.792466 | + | 0.575760i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.77915 | 0.439956 | ||||||||
\(119\) | −3.70493 | − | 11.4026i | −0.339630 | − | 1.04527i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.37284 | + | 10.3805i | −0.306622 | + | 0.943685i | ||||
\(122\) | 0.576509 | − | 1.77431i | 0.0521946 | − | 0.160639i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.0377 | 0.901414 | ||||||||
\(125\) | 9.75665 | + | 5.45965i | 0.872661 | + | 0.488326i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.7074 | + | 9.23243i | −1.12760 | + | 0.819246i | −0.985343 | − | 0.170585i | \(-0.945434\pi\) |
−0.142252 | + | 0.989830i | \(0.545434\pi\) | |||||||
\(128\) | 1.58091 | − | 4.86555i | 0.139734 | − | 0.430058i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.76314 | + | 5.72837i | −0.417755 | + | 0.502411i | ||||
\(131\) | −2.73458 | − | 8.41616i | −0.238921 | − | 0.735323i | −0.996577 | − | 0.0826693i | \(-0.973655\pi\) |
0.757656 | − | 0.652654i | \(-0.226345\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.16476 | + | 6.66245i | 0.187709 | + | 0.577708i | ||||
\(134\) | −10.3937 | − | 7.55148i | −0.897881 | − | 0.652349i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 10.3536 | − | 7.52231i | 0.887812 | − | 0.645033i | ||||
\(137\) | 6.98635 | + | 5.07588i | 0.596884 | + | 0.433662i | 0.844772 | − | 0.535127i | \(-0.179736\pi\) |
−0.247887 | + | 0.968789i | \(0.579736\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.48605 | − | 4.71239i | 0.550140 | − | 0.399700i | −0.277697 | − | 0.960669i | \(-0.589571\pi\) |
0.827837 | + | 0.560969i | \(0.189571\pi\) | |||||||
\(140\) | −3.67046 | − | 5.81588i | −0.310211 | − | 0.491532i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.59214 | − | 11.0555i | −0.301445 | − | 0.927754i | ||||
\(143\) | 1.03841 | 0.0868363 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.2181 | + | 17.7752i | 0.931614 | + | 1.47615i | ||||
\(146\) | −1.31733 | + | 4.05432i | −0.109023 | + | 0.335538i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.667418 | + | 0.484908i | −0.0548615 | + | 0.0398592i | ||||
\(149\) | 12.8790 | 1.05509 | 0.527545 | − | 0.849527i | \(-0.323113\pi\) | ||||
0.527545 | + | 0.849527i | \(0.323113\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −23.3541 | −1.90053 | −0.950263 | − | 0.311447i | \(-0.899186\pi\) | ||||
−0.950263 | + | 0.311447i | \(0.899186\pi\) | |||||||
\(152\) | −6.04951 | + | 4.39523i | −0.490680 | + | 0.356500i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.231644 | − | 0.712928i | 0.0186664 | − | 0.0574494i | ||||
\(155\) | 18.5757 | + | 7.40852i | 1.49203 | + | 0.595066i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.02953 | 0.720635 | 0.360317 | − | 0.932830i | \(-0.382668\pi\) | ||||
0.360317 | + | 0.932830i | \(0.382668\pi\) | |||||||
\(158\) | −2.18476 | − | 6.72400i | −0.173810 | − | 0.534933i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.69981 | − | 9.26013i | 0.608723 | − | 0.732078i | ||||
\(161\) | −11.3765 | + | 8.26553i | −0.896596 | + | 0.651415i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.46699 | − | 5.42508i | −0.584859 | − | 0.424925i | 0.255613 | − | 0.966779i | \(-0.417723\pi\) |
−0.840473 | + | 0.541854i | \(0.817723\pi\) | |||||||
\(164\) | −10.2547 | + | 7.45048i | −0.800758 | + | 0.581785i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.46003 | + | 6.14657i | 0.656626 | + | 0.477066i | ||||
\(167\) | 6.27950 | + | 19.3263i | 0.485923 | + | 1.49552i | 0.830640 | + | 0.556810i | \(0.187975\pi\) |
−0.344718 | + | 0.938706i | \(0.612025\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.108909 | − | 0.335187i | −0.00837761 | − | 0.0257836i | ||||
\(170\) | 8.88287 | − | 2.25703i | 0.681285 | − | 0.173106i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0866986 | + | 0.266831i | −0.00661071 | + | 0.0203457i | ||||
\(173\) | −12.8798 | + | 9.35771i | −0.979232 | + | 0.711454i | −0.957537 | − | 0.288311i | \(-0.906906\pi\) |
−0.0216952 | + | 0.999765i | \(0.506906\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.50000 | − | 13.4718i | −0.188982 | − | 1.01838i | ||||
\(176\) | 0.144739 | 0.0109101 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.31421 | − | 7.12240i | 0.173457 | − | 0.533846i | ||||
\(179\) | −1.55433 | + | 4.78373i | −0.116176 | + | 0.357553i | −0.992190 | − | 0.124732i | \(-0.960193\pi\) |
0.876014 | + | 0.482285i | \(0.160193\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.877466 | − | 2.70056i | −0.0652215 | − | 0.200731i | 0.913135 | − | 0.407657i | \(-0.133654\pi\) |
−0.978357 | + | 0.206926i | \(0.933654\pi\) | |||||||
\(182\) | 9.13013 | 0.676770 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −12.1435 | − | 8.82279i | −0.895233 | − | 0.650425i | ||||
\(185\) | −1.59301 | + | 0.404764i | −0.117120 | + | 0.0297589i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.03350 | − | 0.750884i | −0.0755773 | − | 0.0549101i | ||||
\(188\) | 2.61902 | + | 1.90283i | 0.191012 | + | 0.138778i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.19019 | + | 1.31876i | −0.376536 | + | 0.0956732i | ||||
\(191\) | −16.8121 | − | 12.2147i | −1.21648 | − | 0.883824i | −0.220677 | − | 0.975347i | \(-0.570827\pi\) |
−0.995803 | + | 0.0915227i | \(0.970827\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.46086 | −0.609026 | −0.304513 | − | 0.952508i | \(-0.598494\pi\) | ||||
−0.304513 | + | 0.952508i | \(0.598494\pi\) | |||||||
\(194\) | 4.77921 | + | 14.7089i | 0.343127 | + | 1.05604i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.176744 | + | 0.543963i | −0.0126246 | + | 0.0388545i | ||||
\(197\) | −1.94825 | + | 5.99611i | −0.138807 | + | 0.427205i | −0.996163 | − | 0.0875199i | \(-0.972106\pi\) |
0.857356 | + | 0.514725i | \(0.172106\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −19.4190 | −1.37658 | −0.688290 | − | 0.725436i | \(-0.741638\pi\) | ||||
−0.688290 | + | 0.725436i | \(0.741638\pi\) | |||||||
\(200\) | 12.8517 | − | 6.98164i | 0.908750 | − | 0.493676i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.44182 | + | 5.40680i | −0.523604 | + | 0.380421i | ||||
\(203\) | 7.96015 | − | 24.4988i | 0.558693 | − | 1.71948i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −24.4762 | + | 6.21909i | −1.70949 | + | 0.434360i | ||||
\(206\) | −1.42619 | − | 4.38938i | −0.0993677 | − | 0.305822i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.544760 | + | 1.67660i | 0.0377723 | + | 0.116251i | ||||
\(209\) | 0.603868 | + | 0.438736i | 0.0417704 | + | 0.0303480i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.9700 | − | 10.1498i | 0.961732 | − | 0.698739i | 0.00817983 | − | 0.999967i | \(-0.497396\pi\) |
0.953552 | + | 0.301227i | \(0.0973962\pi\) | |||||||
\(212\) | −4.42888 | − | 3.21777i | −0.304176 | − | 0.220997i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.20437 | − | 2.32811i | 0.219046 | − | 0.159146i | ||||
\(215\) | −0.357382 | + | 0.429804i | −0.0243733 | + | 0.0293124i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.57364 | − | 23.3093i | −0.514132 | − | 1.58234i | ||||
\(218\) | 9.86253 | 0.667975 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.680642 | − | 0.271460i | −0.0458889 | − | 0.0183018i | ||||
\(221\) | 4.80811 | − | 14.7978i | 0.323429 | − | 0.995411i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.15239 | + | 0.837259i | −0.0771697 | + | 0.0560670i | −0.625701 | − | 0.780063i | \(-0.715187\pi\) |
0.548532 | + | 0.836130i | \(0.315187\pi\) | |||||||
\(224\) | −14.7592 | −0.986142 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.9568 | −0.728836 | ||||||||
\(227\) | 7.49824 | − | 5.44779i | 0.497676 | − | 0.361583i | −0.310453 | − | 0.950589i | \(-0.600481\pi\) |
0.808129 | + | 0.589006i | \(0.200481\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.19875 | + | 16.0001i | −0.343543 | + | 1.05732i | 0.618816 | + | 0.785536i | \(0.287613\pi\) |
−0.962359 | + | 0.271781i | \(0.912387\pi\) | |||||||
\(230\) | −5.73718 | − | 9.09060i | −0.378298 | − | 0.599417i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 27.4963 | 1.80522 | ||||||||
\(233\) | −3.05125 | − | 9.39077i | −0.199894 | − | 0.615210i | −0.999885 | − | 0.0151975i | \(-0.995162\pi\) |
0.799991 | − | 0.600012i | \(-0.204838\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.44230 | + | 5.45436i | 0.224551 | + | 0.355803i | ||||
\(236\) | −4.63196 | + | 3.36532i | −0.301515 | + | 0.219064i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.08699 | − | 6.60208i | −0.589022 | − | 0.427949i | ||||
\(239\) | −16.9800 | + | 12.3367i | −1.09835 | + | 0.797994i | −0.980789 | − | 0.195072i | \(-0.937506\pi\) |
−0.117556 | + | 0.993066i | \(0.537506\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.484709 | − | 0.352162i | −0.0312229 | − | 0.0226848i | 0.572064 | − | 0.820209i | \(-0.306143\pi\) |
−0.603287 | + | 0.797524i | \(0.706143\pi\) | |||||||
\(242\) | 3.15981 | + | 9.72489i | 0.203120 | + | 0.625139i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.690658 | + | 2.12563i | 0.0442148 | + | 0.136079i | ||||
\(245\) | −0.728562 | + | 0.876202i | −0.0465461 | + | 0.0559785i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.80934 | + | 8.64627i | −0.178754 | + | 0.550149i | ||||
\(248\) | 21.1648 | − | 15.3772i | 1.34397 | − | 0.976451i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.4012 | − | 1.23463i | 0.657827 | − | 0.0780846i | ||||
\(251\) | −22.8068 | −1.43955 | −0.719776 | − | 0.694207i | \(-0.755755\pi\) | ||||
−0.719776 | + | 0.694207i | \(0.755755\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.463011 | + | 1.42500i | −0.0291092 | + | 0.0895891i | ||||
\(254\) | −4.54721 | + | 13.9949i | −0.285317 | + | 0.878116i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.21218 | − | 16.0414i | −0.325761 | − | 1.00259i | ||||
\(257\) | 4.10576 | 0.256110 | 0.128055 | − | 0.991767i | \(-0.459127\pi\) | ||||
0.128055 | + | 0.991767i | \(0.459127\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.62962 | + | 1.18398i | 0.101259 | + | 0.0735692i | ||||
\(260\) | 0.582721 | − | 8.90600i | 0.0361389 | − | 0.552327i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.70703 | − | 4.87294i | −0.414362 | − | 0.301051i | ||||
\(263\) | −10.4168 | − | 7.56828i | −0.642330 | − | 0.466680i | 0.218320 | − | 0.975877i | \(-0.429942\pi\) |
−0.860650 | + | 0.509197i | \(0.829942\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.82109 | − | 9.22356i | −0.357587 | − | 0.566599i | ||||
\(266\) | 5.30946 | + | 3.85755i | 0.325544 | + | 0.236521i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 15.3911 | 0.940164 | ||||||||
\(269\) | 2.27529 | + | 7.00263i | 0.138727 | + | 0.426958i | 0.996151 | − | 0.0876525i | \(-0.0279365\pi\) |
−0.857424 | + | 0.514611i | \(0.827937\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.405027 | + | 1.24655i | −0.0246037 | + | 0.0757223i | −0.962604 | − | 0.270911i | \(-0.912675\pi\) |
0.938001 | + | 0.346633i | \(0.112675\pi\) | |||||||
\(272\) | 0.670178 | − | 2.06260i | 0.0406355 | − | 0.125063i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.09017 | 0.488745 | ||||||||
\(275\) | −1.05923 | − | 1.00472i | −0.0638741 | − | 0.0605868i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.25811 | + | 6.72641i | −0.556266 | + | 0.404151i | −0.830091 | − | 0.557629i | \(-0.811711\pi\) |
0.273824 | + | 0.961780i | \(0.411711\pi\) | |||||||
\(278\) | 2.32097 | − | 7.14321i | 0.139203 | − | 0.428422i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −16.6488 | − | 6.64004i | −0.994959 | − | 0.396818i | ||||
\(281\) | −0.970352 | − | 2.98644i | −0.0578864 | − | 0.178156i | 0.917933 | − | 0.396737i | \(-0.129857\pi\) |
−0.975819 | + | 0.218581i | \(0.929857\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.65203 | + | 17.3951i | 0.335978 | + | 1.03403i | 0.966238 | + | 0.257650i | \(0.0829482\pi\) |
−0.630260 | + | 0.776384i | \(0.717052\pi\) | |||||||
\(284\) | 11.2664 | + | 8.18552i | 0.668538 | + | 0.485721i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.787030 | − | 0.571811i | 0.0465381 | − | 0.0338119i | ||||
\(287\) | 25.0386 | + | 18.1916i | 1.47798 | + | 1.07382i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.73256 | + | 1.25878i | −0.101915 | + | 0.0740458i | ||||
\(290\) | 18.2905 | + | 7.29478i | 1.07406 | + | 0.428364i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.57816 | − | 4.85708i | −0.0923550 | − | 0.284239i | ||||
\(293\) | −12.2342 | −0.714727 | −0.357364 | − | 0.933965i | \(-0.616324\pi\) | ||||
−0.357364 | + | 0.933965i | \(0.616324\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.0557 | + | 2.80911i | −0.643686 | + | 0.163553i | ||||
\(296\) | −0.664424 | + | 2.04489i | −0.0386188 | + | 0.118857i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.76124 | − | 7.09195i | 0.565453 | − | 0.410826i | ||||
\(299\) | −18.2493 | −1.05539 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.685041 | 0.0394851 | ||||||||
\(302\) | −17.7005 | + | 12.8601i | −1.01855 | + | 0.740018i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.391580 | + | 1.20516i | −0.0224587 | + | 0.0691206i | ||||
\(305\) | −0.290733 | + | 4.44341i | −0.0166473 | + | 0.254429i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 34.8868 | 1.99110 | 0.995549 | − | 0.0942495i | \(-0.0300451\pi\) | ||||
0.995549 | + | 0.0942495i | \(0.0300451\pi\) | |||||||
\(308\) | 0.277510 | + | 0.854088i | 0.0158126 | + | 0.0486662i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 18.1584 | − | 4.61383i | 1.03133 | − | 0.262048i | ||||
\(311\) | 7.74178 | − | 5.62473i | 0.438996 | − | 0.318949i | −0.346240 | − | 0.938146i | \(-0.612542\pi\) |
0.785236 | + | 0.619197i | \(0.212542\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.1535 | + | 16.8220i | 1.30871 | + | 0.950834i | 1.00000 | 0.000321264i | \(-0.000102262\pi\) | |
0.308711 | + | 0.951156i | \(0.400102\pi\) | |||||||
\(314\) | 6.84365 | − | 4.97220i | 0.386209 | − | 0.280597i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.85230 | + | 4.97848i | 0.385472 | + | 0.280062i | ||||
\(317\) | −3.99692 | − | 12.3012i | −0.224489 | − | 0.690907i | −0.998343 | − | 0.0575426i | \(-0.981674\pi\) |
0.773854 | − | 0.633364i | \(-0.218326\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.848160 | − | 2.61037i | −0.0474879 | − | 0.146153i | ||||
\(320\) | 0.881378 | − | 13.4705i | 0.0492705 | − | 0.753024i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.07098 | + | 12.5292i | −0.226867 | + | 0.698225i | ||||
\(323\) | 9.04826 | − | 6.57395i | 0.503459 | − | 0.365784i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.65160 | − | 16.0512i | 0.424435 | − | 0.890362i | ||||
\(326\) | −8.64674 | −0.478899 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.2087 | + | 31.4191i | −0.563681 | + | 1.73483i | ||||
\(329\) | 2.44259 | − | 7.51751i | 0.134664 | − | 0.414454i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.36424 | − | 13.4318i | −0.239880 | − | 0.738276i | −0.996436 | − | 0.0843471i | \(-0.973120\pi\) |
0.756556 | − | 0.653929i | \(-0.226880\pi\) | |||||||
\(332\) | −12.5277 | −0.687547 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 15.4016 | + | 11.1899i | 0.842737 | + | 0.612284i | ||||
\(335\) | 28.4826 | + | 11.3597i | 1.55617 | + | 0.620646i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.1034 | + | 15.3325i | 1.14957 | + | 0.835214i | 0.988424 | − | 0.151716i | \(-0.0484800\pi\) |
0.161149 | + | 0.986930i | \(0.448480\pi\) | |||||||
\(338\) | −0.267118 | − | 0.194073i | −0.0145293 | − | 0.0105562i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.01998 | + | 8.44254i | −0.380712 | + | 0.457861i | ||||
\(341\) | −2.11269 | − | 1.53496i | −0.114409 | − | 0.0831229i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.7860 | −0.960356 | ||||||||
\(344\) | 0.225961 | + | 0.695438i | 0.0121830 | + | 0.0374955i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.60891 | + | 14.1848i | −0.247776 | + | 0.762578i | ||||
\(347\) | −10.3024 | + | 31.7076i | −0.553063 | + | 1.70215i | 0.147943 | + | 0.988996i | \(0.452735\pi\) |
−0.701005 | + | 0.713156i | \(0.747265\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.42476 | −0.129794 | −0.0648972 | − | 0.997892i | \(-0.520672\pi\) | ||||
−0.0648972 | + | 0.997892i | \(0.520672\pi\) | |||||||
\(350\) | −9.31320 | − | 8.83390i | −0.497811 | − | 0.472192i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.27227 | + | 0.924355i | −0.0678120 | + | 0.0492683i | ||||
\(353\) | −7.92817 | + | 24.4004i | −0.421974 | + | 1.29870i | 0.483888 | + | 0.875130i | \(0.339224\pi\) |
−0.905862 | + | 0.423572i | \(0.860776\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14.8080 | + | 23.4634i | 0.785926 | + | 1.24531i | ||||
\(356\) | 2.77242 | + | 8.53264i | 0.146938 | + | 0.452229i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.45616 | + | 4.48159i | 0.0769602 | + | 0.236859i | ||||
\(359\) | 0.755429 | + | 0.548851i | 0.0398700 | + | 0.0289673i | 0.607542 | − | 0.794288i | \(-0.292156\pi\) |
−0.567672 | + | 0.823255i | \(0.692156\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.0845 | − | 7.32681i | 0.530763 | − | 0.385622i | ||||
\(362\) | −2.15214 | − | 1.56362i | −0.113114 | − | 0.0821820i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.84895 | + | 6.42914i | −0.463811 | + | 0.336978i | ||||
\(365\) | 0.664329 | − | 10.1532i | 0.0347726 | − | 0.531445i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.60428 | − | 17.2482i | −0.292541 | − | 0.900349i | −0.984036 | − | 0.177968i | \(-0.943048\pi\) |
0.691495 | − | 0.722381i | \(-0.256952\pi\) | |||||||
\(368\) | −2.54368 | −0.132599 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.984484 | + | 1.18398i | −0.0511809 | + | 0.0615524i | ||||
\(371\) | −4.13052 | + | 12.7124i | −0.214446 | + | 0.659997i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.3335 | − | 14.0466i | 1.00105 | − | 0.727304i | 0.0387358 | − | 0.999249i | \(-0.487667\pi\) |
0.962313 | + | 0.271945i | \(0.0876669\pi\) | |||||||
\(374\) | −1.19679 | −0.0618847 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.43729 | 0.435120 | ||||||||
\(377\) | 27.0452 | − | 19.6495i | 1.39290 | − | 1.01200i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.251135 | − | 0.772913i | 0.0128999 | − | 0.0397019i | −0.944399 | − | 0.328801i | \(-0.893356\pi\) |
0.957299 | + | 0.289099i | \(0.0933556\pi\) | |||||||
\(380\) | 4.10172 | − | 4.93291i | 0.210414 | − | 0.253053i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −19.4683 | −0.996086 | ||||||||
\(383\) | −7.22565 | − | 22.2383i | −0.369214 | − | 1.13632i | −0.947300 | − | 0.320347i | \(-0.896200\pi\) |
0.578087 | − | 0.815975i | \(-0.303800\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.116818 | + | 1.78538i | −0.00595360 | + | 0.0909916i | ||||
\(386\) | −6.41264 | + | 4.65905i | −0.326395 | + | 0.237140i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −14.9896 | − | 10.8906i | −0.760980 | − | 0.552884i | ||||
\(389\) | 9.31412 | − | 6.76711i | 0.472245 | − | 0.343106i | −0.326071 | − | 0.945345i | \(-0.605725\pi\) |
0.798316 | + | 0.602239i | \(0.205725\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.1631 | + | 13.1963i | 0.918547 | + | 0.667363i | ||||
\(392\) | 0.460647 | + | 1.41772i | 0.0232662 | + | 0.0716059i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.82520 | + | 5.61738i | 0.0919522 | + | 0.283000i | ||||
\(395\) | 9.00631 | + | 14.2706i | 0.453157 | + | 0.718030i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.47828 | − | 4.54967i | 0.0741927 | − | 0.228342i | −0.907082 | − | 0.420953i | \(-0.861696\pi\) |
0.981275 | + | 0.192611i | \(0.0616957\pi\) | |||||||
\(398\) | −14.7180 | + | 10.6933i | −0.737749 | + | 0.536006i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.06652 | − | 2.23730i | 0.0533259 | − | 0.111865i | ||||
\(401\) | 29.7663 | 1.48646 | 0.743228 | − | 0.669038i | \(-0.233294\pi\) | ||||
0.743228 | + | 0.669038i | \(0.233294\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.82877 | − | 30.2498i | 0.489606 | − | 1.50685i | ||||
\(404\) | 3.40534 | − | 10.4806i | 0.169422 | − | 0.521428i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −7.45737 | − | 22.9514i | −0.370103 | − | 1.13906i | ||||
\(407\) | 0.214627 | 0.0106387 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.84465 | + | 3.51985i | 0.239553 | + | 0.174045i | 0.701084 | − | 0.713079i | \(-0.252700\pi\) |
−0.461531 | + | 0.887124i | \(0.652700\pi\) | |||||||
\(410\) | −15.1263 | + | 18.1916i | −0.747036 | + | 0.898420i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.47313 | + | 3.24992i | 0.220375 | + | 0.160112i | ||||
\(413\) | 11.3097 | + | 8.21699i | 0.556515 | + | 0.404332i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −23.1836 | − | 9.24628i | −1.13804 | − | 0.453882i | ||||
\(416\) | −15.4959 | − | 11.2584i | −0.759747 | − | 0.551988i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.699277 | 0.0342028 | ||||||||
\(419\) | −1.31544 | − | 4.04851i | −0.0642635 | − | 0.197783i | 0.913769 | − | 0.406233i | \(-0.133158\pi\) |
−0.978033 | + | 0.208451i | \(0.933158\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.19046 | + | 22.1300i | −0.350441 | + | 1.07855i | 0.608164 | + | 0.793811i | \(0.291906\pi\) |
−0.958606 | + | 0.284737i | \(0.908094\pi\) | |||||||
\(422\) | 4.99902 | − | 15.3854i | 0.243348 | − | 0.748950i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −14.2678 | −0.692907 | ||||||||
\(425\) | −19.2222 | + | 10.4424i | −0.932416 | + | 0.506533i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.41494 | − | 3.20764i | 0.213654 | − | 0.155229i | ||||
\(428\) | −1.46631 | + | 4.51283i | −0.0708766 | + | 0.218136i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0341907 | + | 0.522553i | −0.00164882 | + | 0.0251997i | ||||
\(431\) | −3.86801 | − | 11.9045i | −0.186315 | − | 0.573420i | 0.813653 | − | 0.581351i | \(-0.197475\pi\) |
−0.999969 | + | 0.00793088i | \(0.997475\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.85788 | − | 18.0287i | −0.281512 | − | 0.866403i | −0.987423 | − | 0.158103i | \(-0.949462\pi\) |
0.705911 | − | 0.708300i | \(-0.250538\pi\) | |||||||
\(434\) | −18.5757 | − | 13.4960i | −0.891661 | − | 0.647830i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.55880 | + | 6.94487i | −0.457783 | + | 0.332599i | ||||
\(437\) | −10.6125 | − | 7.71047i | −0.507667 | − | 0.368842i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.90513 | − | 4.29033i | 0.281836 | − | 0.204766i | −0.437882 | − | 0.899033i | \(-0.644271\pi\) |
0.719718 | + | 0.694267i | \(0.244271\pi\) | |||||||
\(440\) | −1.85101 | + | 0.470320i | −0.0882436 | + | 0.0224216i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.50442 | − | 13.8632i | −0.214254 | − | 0.659405i | ||||
\(443\) | 5.75210 | 0.273291 | 0.136645 | − | 0.990620i | \(-0.456368\pi\) | ||||
0.136645 | + | 0.990620i | \(0.456368\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.16705 | + | 17.8366i | −0.0553236 | + | 0.845537i | ||||
\(446\) | −0.412371 | + | 1.26915i | −0.0195263 | + | 0.0600959i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −13.3842 | + | 9.72421i | −0.632345 | + | 0.459426i | ||||
\(449\) | 4.75061 | 0.224195 | 0.112098 | − | 0.993697i | \(-0.464243\pi\) | ||||
0.112098 | + | 0.993697i | \(0.464243\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.29769 | 0.155282 | ||||||||
\(452\) | 10.6194 | − | 7.71542i | 0.499493 | − | 0.362903i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.68318 | − | 8.25796i | 0.125928 | − | 0.387565i | ||||
\(455\) | −21.1209 | + | 5.36656i | −0.990162 | + | 0.251588i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.72678 | 0.221110 | 0.110555 | − | 0.993870i | \(-0.464737\pi\) | ||||
0.110555 | + | 0.993870i | \(0.464737\pi\) | |||||||
\(458\) | 4.87039 | + | 14.9895i | 0.227579 | + | 0.700415i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11.9618 | + | 4.77071i | 0.557722 | + | 0.222435i | ||||
\(461\) | 6.23775 | − | 4.53199i | 0.290521 | − | 0.211076i | −0.432972 | − | 0.901407i | \(-0.642535\pi\) |
0.723493 | + | 0.690331i | \(0.242535\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.09818 | + | 2.25096i | 0.143985 | + | 0.104611i | 0.657446 | − | 0.753502i | \(-0.271637\pi\) |
−0.513461 | + | 0.858113i | \(0.671637\pi\) | |||||||
\(464\) | 3.76970 | − | 2.73885i | 0.175004 | − | 0.127148i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.48372 | − | 5.43724i | −0.346677 | − | 0.251875i | ||||
\(467\) | −6.14580 | − | 18.9148i | −0.284394 | − | 0.875274i | −0.986580 | − | 0.163281i | \(-0.947792\pi\) |
0.702186 | − | 0.711994i | \(-0.252208\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.6129 | − | 35.7408i | −0.536233 | − | 1.65036i | ||||
\(470\) | 5.61248 | + | 2.23842i | 0.258885 | + | 0.103251i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.61118 | + | 14.1917i | −0.212247 | + | 0.653228i | ||||
\(473\) | 0.0590515 | − | 0.0429035i | 0.00271519 | − | 0.00197270i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.2314 | − | 6.10144i | 0.515332 | − | 0.279953i | ||||
\(476\) | 13.4561 | 0.616760 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.07613 | + | 18.7004i | −0.277916 | + | 0.855337i | ||||
\(479\) | 8.59722 | − | 26.4595i | 0.392817 | − | 1.20897i | −0.537831 | − | 0.843052i | \(-0.680756\pi\) |
0.930649 | − | 0.365914i | \(-0.119244\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.807801 | + | 2.48616i | 0.0368326 | + | 0.113359i | ||||
\(482\) | −0.561292 | −0.0255661 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9.91044 | − | 7.20036i | −0.450475 | − | 0.327289i | ||||
\(485\) | −19.7015 | − | 31.2172i | −0.894599 | − | 1.41750i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.6572 | − | 18.6411i | −1.16264 | − | 0.844708i | −0.172531 | − | 0.985004i | \(-0.555195\pi\) |
−0.990110 | + | 0.140296i | \(0.955195\pi\) | |||||||
\(488\) | 4.71260 | + | 3.42390i | 0.213329 | + | 0.154993i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.0697014 | + | 1.06528i | −0.00314879 | + | 0.0481244i | ||||
\(491\) | −3.96526 | − | 2.88093i | −0.178950 | − | 0.130015i | 0.494705 | − | 0.869061i | \(-0.335276\pi\) |
−0.673654 | + | 0.739047i | \(0.735276\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −41.1262 | −1.85223 | ||||||||
\(494\) | 2.63190 | + | 8.10016i | 0.118415 | + | 0.364443i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.36998 | − | 4.21637i | 0.0615140 | − | 0.189321i | ||||
\(497\) | 10.5074 | − | 32.3386i | 0.471323 | − | 1.45058i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.13604 | 0.140389 | 0.0701943 | − | 0.997533i | \(-0.477638\pi\) | ||||
0.0701943 | + | 0.997533i | \(0.477638\pi\) | |||||||
\(500\) | −9.21145 | + | 8.52076i | −0.411948 | + | 0.381060i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −17.2857 | + | 12.5588i | −0.771498 | + | 0.560526i | ||||
\(503\) | −5.96362 | + | 18.3541i | −0.265905 | + | 0.818370i | 0.725579 | + | 0.688139i | \(0.241572\pi\) |
−0.991484 | + | 0.130231i | \(0.958428\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.0372 | − | 16.8818i | 0.624649 | − | 0.751231i | ||||
\(506\) | 0.433767 | + | 1.33500i | 0.0192833 | + | 0.0593478i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.44756 | − | 16.7659i | −0.241696 | − | 0.743865i | ||||
\(509\) | 33.7843 | + | 24.5458i | 1.49746 | + | 1.08797i | 0.971378 | + | 0.237541i | \(0.0763413\pi\) |
0.526087 | + | 0.850431i | \(0.323659\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.0882 | + | 7.32951i | −0.446276 | + | 0.324238i | ||||
\(512\) | −4.50601 | − | 3.27381i | −0.199140 | − | 0.144683i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.11183 | − | 2.26088i | 0.137257 | − | 0.0997230i | ||||
\(515\) | 5.87925 | + | 9.31572i | 0.259071 | + | 0.410500i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.260260 | − | 0.800997i | −0.0114462 | − | 0.0352278i | ||||
\(518\) | 1.88709 | 0.0829139 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.4147 | − | 19.6713i | −0.544422 | − | 0.862642i | ||||
\(521\) | −10.5179 | + | 32.3709i | −0.460799 | + | 1.41819i | 0.403390 | + | 0.915028i | \(0.367832\pi\) |
−0.864189 | + | 0.503167i | \(0.832168\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.47351 | − | 4.70328i | 0.283067 | − | 0.205660i | −0.437187 | − | 0.899371i | \(-0.644025\pi\) |
0.720254 | + | 0.693710i | \(0.244025\pi\) | |||||||
\(524\) | 9.93184 | 0.433874 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.0627 | −0.525957 | ||||||||
\(527\) | −31.6563 | + | 22.9996i | −1.37897 | + | 1.00188i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.02969 | − | 3.16907i | 0.0447693 | − | 0.137786i | ||||
\(530\) | −9.49095 | − | 3.78527i | −0.412261 | − | 0.164421i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −7.86230 | −0.340874 | ||||||||
\(533\) | 12.4117 | + | 38.1991i | 0.537608 | + | 1.65459i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.04429 | + | 7.26914i | −0.261318 | + | 0.314272i | ||||
\(536\) | 32.4527 | − | 23.5783i | 1.40174 | − | 1.01843i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.58056 | + | 4.05451i | 0.240595 | + | 0.174802i | ||||
\(539\) | 0.120383 | − | 0.0874633i | 0.00518526 | − | 0.00376731i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.84390 | − | 5.69893i | −0.337235 | − | 0.245016i | 0.406259 | − | 0.913758i | \(-0.366833\pi\) |
−0.743495 | + | 0.668742i | \(0.766833\pi\) | |||||||
\(542\) | 0.379445 | + | 1.16781i | 0.0162986 | + | 0.0501618i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 7.28158 | + | 22.4104i | 0.312195 | + | 0.960838i | ||||
\(545\) | −22.8152 | + | 5.79705i | −0.977294 | + | 0.248318i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.49631 | + | 13.8382i | −0.192248 | + | 0.591680i | 0.807749 | + | 0.589526i | \(0.200686\pi\) |
−0.999998 | + | 0.00215372i | \(0.999314\pi\) | |||||||
\(548\) | −7.84102 | + | 5.69683i | −0.334952 | + | 0.243357i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.35607 | − | 0.178219i | −0.0578230 | − | 0.00759927i | ||||
\(551\) | 24.0297 | 1.02370 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.39069 | − | 19.6685i | 0.271760 | − | 0.836391i | ||||
\(554\) | −3.31293 | + | 10.1961i | −0.140753 | + | 0.433193i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.78053 | + | 8.55758i | 0.117921 | + | 0.362922i | ||||
\(557\) | −17.8610 | −0.756795 | −0.378397 | − | 0.925643i | \(-0.623525\pi\) | ||||
−0.378397 | + | 0.925643i | \(0.623525\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.719232 | + | 0.522553i | 0.0304203 | + | 0.0221016i | ||||
\(560\) | −2.94393 | + | 0.748017i | −0.124404 | + | 0.0316095i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.37996 | − | 1.72914i | −0.100393 | − | 0.0729394i | ||||
\(563\) | 17.5168 | + | 12.7267i | 0.738244 | + | 0.536365i | 0.892161 | − | 0.451718i | \(-0.149189\pi\) |
−0.153917 | + | 0.988084i | \(0.549189\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.3466 | − | 6.44025i | 1.06634 | − | 0.270943i | ||||
\(566\) | 13.8626 | + | 10.0718i | 0.582688 | + | 0.423348i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 36.2953 | 1.52292 | ||||||||
\(569\) | −10.1244 | − | 31.1598i | −0.424439 | − | 1.30629i | −0.903531 | − | 0.428524i | \(-0.859034\pi\) |
0.479092 | − | 0.877765i | \(-0.340966\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.04981 | + | 3.23099i | −0.0439332 | + | 0.135213i | −0.970617 | − | 0.240629i | \(-0.922646\pi\) |
0.926684 | + | 0.375842i | \(0.122646\pi\) | |||||||
\(572\) | −0.360142 | + | 1.10840i | −0.0150583 | + | 0.0463446i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 28.9946 | 1.21021 | ||||||||
\(575\) | 18.6152 | + | 17.6572i | 0.776309 | + | 0.736357i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.1669 | + | 7.38668i | −0.423253 | + | 0.307512i | −0.778945 | − | 0.627092i | \(-0.784245\pi\) |
0.355692 | + | 0.934603i | \(0.384245\pi\) | |||||||
\(578\) | −0.619980 | + | 1.90810i | −0.0257878 | + | 0.0793666i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −22.8640 | + | 5.80945i | −0.949375 | + | 0.241224i | ||||
\(581\) | 9.45237 | + | 29.0914i | 0.392150 | + | 1.20691i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.440111 | + | 1.35452i | 0.0182275 | + | 0.0560985i | ||||
\(584\) | −10.7683 | − | 7.82366i | −0.445597 | − | 0.323745i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.27249 | + | 6.73686i | −0.383043 | + | 0.278297i | ||||
\(587\) | −29.4047 | − | 21.3638i | −1.21366 | − | 0.881777i | −0.218103 | − | 0.975926i | \(-0.569987\pi\) |
−0.995558 | + | 0.0941492i | \(0.969987\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 18.4965 | − | 13.4385i | 0.762136 | − | 0.553724i | ||||
\(590\) | −6.83244 | + | 8.21699i | −0.281287 | + | 0.338288i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.112595 | + | 0.346533i | 0.00462764 | + | 0.0142424i | ||||
\(593\) | −31.7555 | −1.30404 | −0.652022 | − | 0.758200i | \(-0.726079\pi\) | ||||
−0.652022 | + | 0.758200i | \(0.726079\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 24.9017 | + | 9.93151i | 1.02087 | + | 0.407152i | ||||
\(596\) | −4.46670 | + | 13.7471i | −0.182963 | + | 0.563103i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.8315 | + | 10.0492i | −0.565612 | + | 0.410941i | ||||
\(599\) | 23.6306 | 0.965519 | 0.482759 | − | 0.875753i | \(-0.339635\pi\) | ||||
0.482759 | + | 0.875753i | \(0.339635\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.9840 | 0.529628 | 0.264814 | − | 0.964300i | \(-0.414689\pi\) | ||||
0.264814 | + | 0.964300i | \(0.414689\pi\) | |||||||
\(602\) | 0.519205 | − | 0.377225i | 0.0211612 | − | 0.0153745i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.09966 | − | 24.9282i | 0.329570 | − | 1.01431i | ||||
\(605\) | −13.0258 | − | 20.6395i | −0.529573 | − | 0.839113i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.23404 | 0.374798 | 0.187399 | − | 0.982284i | \(-0.439994\pi\) | ||||
0.187399 | + | 0.982284i | \(0.439994\pi\) | |||||||
\(608\) | −4.25457 | − | 13.0942i | −0.172546 | − | 0.531041i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.22645 | + | 3.52783i | 0.0901465 | + | 0.142838i | ||||
\(611\) | 8.29889 | − | 6.02950i | 0.335737 | − | 0.243927i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.2902 | − | 9.65593i | −0.536788 | − | 0.389999i | 0.286103 | − | 0.958199i | \(-0.407640\pi\) |
−0.822891 | + | 0.568200i | \(0.807640\pi\) | |||||||
\(614\) | 26.4414 | − | 19.2108i | 1.06709 | − | 0.775284i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.89355 | + | 1.37574i | 0.0762932 | + | 0.0554303i | ||||
\(617\) | −2.44874 | − | 7.53645i | −0.0985826 | − | 0.303406i | 0.889588 | − | 0.456764i | \(-0.150991\pi\) |
−0.988171 | + | 0.153357i | \(0.950991\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.22540 | + | 6.84908i | 0.0894465 | + | 0.275288i | 0.985767 | − | 0.168120i | \(-0.0537695\pi\) |
−0.896320 | + | 0.443407i | \(0.853769\pi\) | |||||||
\(620\) | −14.3503 | + | 17.2583i | −0.576321 | + | 0.693110i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.77032 | − | 8.52618i | 0.111080 | − | 0.341869i | ||||
\(623\) | 17.7224 | − | 12.8760i | 0.710031 | − | 0.515868i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.3355 | + | 8.96973i | −0.933419 | + | 0.358789i | ||||
\(626\) | 26.8116 | 1.07161 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.13162 | + | 9.63814i | −0.124965 | + | 0.384604i | ||||
\(629\) | 0.993779 | − | 3.05854i | 0.0396246 | − | 0.121952i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.49118 | + | 23.0555i | 0.298219 | + | 0.917824i | 0.982121 | + | 0.188250i | \(0.0602815\pi\) |
−0.683902 | + | 0.729574i | \(0.739718\pi\) | |||||||
\(632\) | 22.0750 | 0.878096 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −9.80314 | − | 7.12240i | −0.389332 | − | 0.282867i | ||||
\(635\) | 2.29315 | − | 35.0473i | 0.0910010 | − | 1.39081i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.46623 | + | 1.06528i | 0.0580942 | + | 0.0422079i | ||||
\(638\) | −2.08026 | − | 1.51140i | −0.0823583 | − | 0.0598368i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 6.10542 | + | 9.67409i | 0.241338 | + | 0.382402i | ||||
\(641\) | 10.2590 | + | 7.45361i | 0.405207 | + | 0.294400i | 0.771659 | − | 0.636037i | \(-0.219427\pi\) |
−0.366452 | + | 0.930437i | \(0.619427\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 25.2886 | 0.997287 | 0.498643 | − | 0.866807i | \(-0.333832\pi\) | ||||
0.498643 | + | 0.866807i | \(0.333832\pi\) | |||||||
\(644\) | −4.87704 | − | 15.0100i | −0.192182 | − | 0.591476i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.23783 | − | 9.96503i | 0.127391 | − | 0.392069i | ||||
\(647\) | −2.95787 | + | 9.10340i | −0.116286 | + | 0.357892i | −0.992213 | − | 0.124552i | \(-0.960251\pi\) |
0.875927 | + | 0.482444i | \(0.160251\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.48954 | 0.0584694 | ||||||||
\(650\) | −3.03948 | − | 16.3790i | −0.119218 | − | 0.642435i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.38045 | − | 6.08875i | 0.328204 | − | 0.238454i | ||||
\(653\) | −3.96525 | + | 12.2038i | −0.155172 | + | 0.477571i | −0.998178 | − | 0.0603333i | \(-0.980784\pi\) |
0.843006 | + | 0.537904i | \(0.180784\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.3797 | + | 7.33036i | 0.718155 | + | 0.286421i | ||||
\(656\) | 1.73000 | + | 5.32438i | 0.0675450 | + | 0.207882i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.28831 | − | 7.04270i | −0.0892076 | − | 0.274553i | ||||
\(659\) | −24.0347 | − | 17.4622i | −0.936258 | − | 0.680231i | 0.0112594 | − | 0.999937i | \(-0.496416\pi\) |
−0.947517 | + | 0.319706i | \(0.896416\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 18.5838 | − | 13.5019i | 0.722825 | − | 0.525163i | −0.164461 | − | 0.986384i | \(-0.552588\pi\) |
0.887285 | + | 0.461221i | \(0.152588\pi\) | |||||||
\(662\) | −10.7041 | − | 7.77696i | −0.416025 | − | 0.302260i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −26.4150 | + | 19.1916i | −1.02510 | + | 0.744780i | ||||
\(665\) | −14.5499 | − | 5.80290i | −0.564219 | − | 0.225027i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.9058 | + | 45.8753i | 0.577155 | + | 1.77630i | ||||
\(668\) | −22.8068 | −0.882423 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 27.8428 | − | 7.07452i | 1.07566 | − | 0.273313i | ||||
\(671\) | 0.179683 | − | 0.553007i | 0.00693658 | − | 0.0213486i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.6360 | + | 9.18062i | −0.487084 | + | 0.353887i | −0.804062 | − | 0.594546i | \(-0.797332\pi\) |
0.316978 | + | 0.948433i | \(0.397332\pi\) | |||||||
\(674\) | 24.4376 | 0.941301 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.395552 | 0.0152135 | ||||||||
\(677\) | 0.169630 | − | 0.123244i | 0.00651942 | − | 0.00473664i | −0.584521 | − | 0.811379i | \(-0.698717\pi\) |
0.591040 | + | 0.806642i | \(0.298717\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.9798 | + | 43.0253i | −0.536495 | + | 1.65116i | ||||
\(680\) | −1.86839 | + | 28.5555i | −0.0716496 | + | 1.09505i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.44649 | −0.0936810 | ||||||||
\(683\) | −7.94768 | − | 24.4604i | −0.304109 | − | 0.935953i | −0.980008 | − | 0.198958i | \(-0.936244\pi\) |
0.675899 | − | 0.736995i | \(-0.263756\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −18.7151 | + | 4.75528i | −0.715068 | + | 0.181690i | ||||
\(686\) | −13.4804 | + | 9.79406i | −0.514683 | + | 0.373939i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.100250 | + | 0.0728360i | 0.00382200 | + | 0.00277685i | ||||
\(689\) | −14.0338 | + | 10.1961i | −0.534645 | + | 0.388442i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.6554 | + | 15.7336i | 0.823812 | + | 0.598534i | 0.917802 | − | 0.397039i | \(-0.129962\pi\) |
−0.0939902 | + | 0.995573i | \(0.529962\pi\) | |||||||
\(692\) | −5.52148 | − | 16.9934i | −0.209895 | − | 0.645991i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.65170 | + | 29.7049i | 0.366374 | + | 1.12758i | ||||
\(695\) | −1.17046 | + | 17.8887i | −0.0443983 | + | 0.678559i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.2691 | − | 46.9936i | 0.578360 | − | 1.78001i | ||||
\(698\) | −1.83777 | + | 1.33522i | −0.0695606 | + | 0.0505387i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 15.2469 | + | 2.00380i | 0.576280 | + | 0.0757364i | ||||
\(701\) | 19.6071 | 0.740551 | 0.370275 | − | 0.928922i | \(-0.379263\pi\) | ||||
0.370275 | + | 0.928922i | \(0.379263\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.580657 | + | 1.78708i | −0.0218999 | + | 0.0674010i | ||||
\(704\) | −0.544722 | + | 1.67648i | −0.0205300 | + | 0.0631848i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.42742 | + | 22.8592i | 0.279534 | + | 0.860319i | ||||
\(707\) | −26.9070 | −1.01194 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.8375 | − | 13.6862i | −0.707456 | − | 0.513997i | 0.174896 | − | 0.984587i | \(-0.444041\pi\) |
−0.882352 | + | 0.470590i | \(0.844041\pi\) | |||||||
\(710\) | 24.1436 | + | 9.62916i | 0.906093 | + | 0.361376i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 18.9172 | + | 13.7441i | 0.708952 | + | 0.515084i | ||||
\(713\) | 37.1291 | + | 26.9759i | 1.39050 | + | 1.01025i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.48455 | + | 1.78538i | −0.0555190 | + | 0.0667696i | ||||
\(716\) | −4.56710 | − | 3.31819i | −0.170680 | − | 0.124007i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.874784 | 0.0326466 | ||||||||
\(719\) | 5.03407 | + | 15.4933i | 0.187739 | + | 0.577802i | 0.999985 | − | 0.00551372i | \(-0.00175508\pi\) |
−0.812246 | + | 0.583316i | \(0.801755\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.17179 | − | 12.8395i | 0.155366 | − | 0.478167i | ||||
\(722\) | 3.60864 | − | 11.1063i | 0.134300 | − | 0.413332i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.18691 | 0.118441 | ||||||||
\(725\) | −46.5995 | − | 6.12425i | −1.73066 | − | 0.227449i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 21.0674 | − | 15.3064i | 0.781346 | − | 0.567681i | −0.124036 | − | 0.992278i | \(-0.539584\pi\) |
0.905383 | + | 0.424596i | \(0.139584\pi\) | |||||||
\(728\) | −8.80924 | + | 27.1121i | −0.326492 | + | 1.00484i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.08748 | − | 8.06115i | −0.188296 | − | 0.298356i | ||||
\(731\) | −0.337971 | − | 1.04017i | −0.0125003 | − | 0.0384720i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.47138 | + | 22.9946i | 0.275962 | + | 0.849323i | 0.988963 | + | 0.148161i | \(0.0473353\pi\) |
−0.713001 | + | 0.701163i | \(0.752665\pi\) | |||||||
\(734\) | −13.7455 | − | 9.98668i | −0.507355 | − | 0.368615i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 22.3592 | − | 16.2449i | 0.824169 | − | 0.598794i | ||||
\(737\) | −3.23946 | − | 2.35360i | −0.119327 | − | 0.0866961i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.72996 | − | 6.34269i | 0.321137 | − | 0.233320i | −0.415524 | − | 0.909582i | \(-0.636402\pi\) |
0.736660 | + | 0.676263i | \(0.236402\pi\) | |||||||
\(740\) | 0.120442 | − | 1.84076i | 0.00442752 | − | 0.0676678i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.86963 | + | 11.9095i | 0.142059 | + | 0.437212i | ||||
\(743\) | 23.8051 | 0.873325 | 0.436662 | − | 0.899625i | \(-0.356160\pi\) | ||||
0.436662 | + | 0.899625i | \(0.356160\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.4123 | + | 22.1434i | −0.674574 | + | 0.811273i | ||||
\(746\) | 6.91829 | − | 21.2923i | 0.253297 | − | 0.779567i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.15994 | − | 0.842743i | 0.0424115 | − | 0.0308137i | ||||
\(749\) | 11.5859 | 0.423339 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −33.8662 | −1.23580 | −0.617898 | − | 0.786258i | \(-0.712016\pi\) | ||||
−0.617898 | + | 0.786258i | \(0.712016\pi\) | |||||||
\(752\) | 1.15674 | − | 0.840421i | 0.0421820 | − | 0.0306470i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 9.67788 | − | 29.7855i | 0.352448 | − | 1.08472i | ||||
\(755\) | 33.3878 | − | 40.1537i | 1.21511 | − | 1.46134i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −26.4066 | −0.959763 | −0.479881 | − | 0.877333i | \(-0.659320\pi\) | ||||
−0.479881 | + | 0.877333i | \(0.659320\pi\) | |||||||
\(758\) | −0.235273 | − | 0.724095i | −0.00854549 | − | 0.0263003i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.09169 | − | 16.6848i | 0.0395997 | − | 0.605220i | ||||
\(761\) | 16.2115 | − | 11.7783i | 0.587667 | − | 0.426965i | −0.253813 | − | 0.967253i | \(-0.581685\pi\) |
0.841480 | + | 0.540288i | \(0.181685\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 23.3394 | + | 16.9571i | 0.844944 | + | 0.613888i | ||||
\(764\) | 18.8688 | − | 13.7090i | 0.682648 | − | 0.495973i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −17.7222 | − | 12.8759i | −0.640328 | − | 0.465226i | ||||
\(767\) | 5.60624 | + | 17.2542i | 0.202429 | + | 0.623014i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.06940 | − | 15.6020i | −0.182807 | − | 0.562623i | 0.817096 | − | 0.576501i | \(-0.195582\pi\) |
−0.999904 | + | 0.0138781i | \(0.995582\pi\) | |||||||
\(770\) | 0.894601 | + | 1.41750i | 0.0322392 | + | 0.0510833i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.93440 | − | 9.03114i | 0.105611 | − | 0.325038i | ||||
\(773\) | −9.26011 | + | 6.72786i | −0.333063 | + | 0.241984i | −0.741729 | − | 0.670700i | \(-0.765994\pi\) |
0.408666 | + | 0.912684i | \(0.365994\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −39.2942 | + | 21.3465i | −1.41149 | + | 0.766789i | ||||
\(776\) | −48.2896 | −1.73349 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.33297 | − | 10.2578i | 0.119493 | − | 0.367761i | ||||
\(779\) | −8.92164 | + | 27.4580i | −0.319651 | + | 0.983785i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.11958 | − | 3.44570i | −0.0400616 | − | 0.123297i | ||||
\(782\) | 21.0328 | 0.752131 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.204371 | + | 0.148484i | 0.00729895 | + | 0.00530300i | ||||
\(785\) | −12.9089 | + | 15.5249i | −0.460740 | + | 0.554106i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.26393 | − | 3.82447i | −0.187639 | − | 0.136328i | 0.490000 | − | 0.871722i | \(-0.336997\pi\) |
−0.677639 | + | 0.735395i | \(0.736997\pi\) | |||||||
\(788\) | −5.72457 | − | 4.15914i | −0.203929 | − | 0.148163i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 14.6843 | + | 5.85651i | 0.522443 | + | 0.208365i | ||||
\(791\) | −25.9290 | − | 18.8385i | −0.921929 | − | 0.669821i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.08210 | 0.251493 | ||||||||
\(794\) | −1.38491 | − | 4.26231i | −0.0491486 | − | 0.151264i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.73491 | − | 20.7279i | 0.238713 | − | 0.734682i | ||||
\(797\) | 11.0243 | − | 33.9292i | 0.390500 | − | 1.20183i | −0.541912 | − | 0.840435i | \(-0.682299\pi\) |
0.932411 | − | 0.361399i | \(-0.117701\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.6197 | −0.446452 | ||||||||
\(800\) | 4.91344 | + | 26.4772i | 0.173716 | + | 0.936111i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 22.5604 | − | 16.3911i | 0.796636 | − | 0.578790i | ||||
\(803\) | −0.410578 | + | 1.26363i | −0.0144890 | + | 0.0445925i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.05299 | − | 31.3769i | 0.0723585 | − | 1.10589i | ||||
\(806\) | −9.20797 | − | 28.3392i | −0.324337 | − | 0.998207i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.87530 | − | 27.3154i | −0.312232 | − | 0.960951i | ||||
\(809\) | 12.7855 | + | 9.28921i | 0.449514 | + | 0.326591i | 0.789404 | − | 0.613874i | \(-0.210390\pi\) |
−0.339890 | + | 0.940465i | \(0.610390\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −24.5451 | + | 17.8331i | −0.861895 | + | 0.626204i | −0.928400 | − | 0.371582i | \(-0.878815\pi\) |
0.0665045 | + | 0.997786i | \(0.478815\pi\) | |||||||
\(812\) | 23.3894 | + | 16.9934i | 0.820805 | + | 0.596350i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.162670 | − | 0.118186i | 0.00570157 | − | 0.00414243i | ||||
\(815\) | 20.0026 | − | 5.08243i | 0.700662 | − | 0.178030i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.197474 | + | 0.607761i | 0.00690873 | + | 0.0212629i | ||||
\(818\) | 5.61009 | 0.196152 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.85055 | − | 28.2828i | 0.0646241 | − | 0.987680i | ||||
\(821\) | −9.71115 | + | 29.8878i | −0.338921 | + | 1.04309i | 0.625837 | + | 0.779954i | \(0.284758\pi\) |
−0.964758 | + | 0.263139i | \(0.915242\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −36.4329 | + | 26.4701i | −1.26997 | + | 0.922688i | −0.999201 | − | 0.0399555i | \(-0.987278\pi\) |
−0.270770 | + | 0.962644i | \(0.587278\pi\) | |||||||
\(824\) | 14.4104 | 0.502010 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.0966 | 0.455690 | ||||||||
\(827\) | 9.70541 | − | 7.05139i | 0.337490 | − | 0.245201i | −0.406112 | − | 0.913823i | \(-0.633116\pi\) |
0.743602 | + | 0.668622i | \(0.233116\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9.57479 | + | 29.4682i | −0.332546 | + | 1.02347i | 0.635372 | + | 0.772206i | \(0.280847\pi\) |
−0.967918 | + | 0.251266i | \(0.919153\pi\) | |||||||
\(830\) | −22.6628 | + | 5.75834i | −0.786638 | + | 0.199875i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −21.4699 | −0.744335 | ||||||||
\(833\) | −0.688989 | − | 2.12049i | −0.0238721 | − | 0.0734706i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −42.2060 | − | 16.8330i | −1.46060 | − | 0.582529i | ||||
\(836\) | −0.677741 | + | 0.492408i | −0.0234402 | + | 0.0170303i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.22635 | − | 2.34408i | −0.111452 | − | 0.0809749i | ||||
\(839\) | −29.2884 | + | 21.2792i | −1.01115 | + | 0.734641i | −0.964449 | − | 0.264268i | \(-0.914870\pi\) |
−0.0466971 | + | 0.998909i | \(0.514870\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −48.0239 | − | 34.8914i | −1.65600 | − | 1.20315i | ||||
\(842\) | 6.73630 | + | 20.7322i | 0.232148 | + | 0.714479i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.98883 | + | 18.4317i | 0.206144 | + | 0.634446i | ||||
\(845\) | 0.732002 | + | 0.291944i | 0.0251816 | + | 0.0100432i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.24282 | + | 28.4465i | −0.317587 | + | 0.977433i | ||||
\(848\) | −1.95610 | + | 1.42119i | −0.0671727 | + | 0.0488038i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −8.81866 | + | 18.4994i | −0.302477 | + | 0.634525i | ||||
\(851\) | −3.77191 | −0.129300 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.0778 | − | 31.0162i | 0.345056 | − | 1.06197i | −0.616498 | − | 0.787357i | \(-0.711449\pi\) |
0.961554 | − | 0.274616i | \(-0.0885509\pi\) | |||||||
\(854\) | 1.57985 | − | 4.86226i | 0.0540612 | − | 0.166383i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.82161 | + | 11.7617i | 0.130620 | + | 0.402007i | ||||
\(857\) | 4.85223 | 0.165749 | 0.0828744 | − | 0.996560i | \(-0.473590\pi\) | ||||
0.0828744 | + | 0.996560i | \(0.473590\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 26.1972 | + | 19.0334i | 0.893836 | + | 0.649410i | 0.936875 | − | 0.349663i | \(-0.113704\pi\) |
−0.0430393 | + | 0.999073i | \(0.513704\pi\) | |||||||
\(860\) | −0.334827 | − | 0.530536i | −0.0114175 | − | 0.0180911i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.48696 | − | 6.89268i | −0.323127 | − | 0.234766i | ||||
\(863\) | −17.7578 | − | 12.9018i | −0.604481 | − | 0.439181i | 0.242986 | − | 0.970030i | \(-0.421873\pi\) |
−0.847467 | + | 0.530849i | \(0.821873\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.32427 | − | 35.5229i | 0.0790276 | − | 1.20781i | ||||
\(866\) | −14.3675 | − | 10.4386i | −0.488226 | − | 0.354717i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 27.5071 | 0.933650 | ||||||||
\(869\) | −0.680933 | − | 2.09570i | −0.0230991 | − | 0.0710917i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.0707 | − | 46.3830i | 0.510653 | − | 1.57163i | ||||
\(872\) | −9.51591 | + | 29.2869i | −0.322249 | + | 0.991781i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.2893 | −0.415691 | ||||||||
\(875\) | 26.7368 | + | 14.9615i | 0.903869 | + | 0.505789i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.45609 | + | 2.51100i | −0.116704 | + | 0.0847904i | −0.644606 | − | 0.764515i | \(-0.722979\pi\) |
0.527902 | + | 0.849305i | \(0.322979\pi\) | |||||||
\(878\) | 2.11309 | − | 6.50344i | 0.0713135 | − | 0.219480i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.206924 | + | 0.248856i | −0.00697540 | + | 0.00838893i | ||||
\(881\) | 9.00341 | + | 27.7096i | 0.303332 | + | 0.933561i | 0.980294 | + | 0.197543i | \(0.0632962\pi\) |
−0.676962 | + | 0.736018i | \(0.736704\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.1896 | + | 46.7489i | 0.511172 | + | 1.57322i | 0.790141 | + | 0.612925i | \(0.210007\pi\) |
−0.278970 | + | 0.960300i | \(0.589993\pi\) | |||||||
\(884\) | 14.1277 | + | 10.2644i | 0.475166 | + | 0.345228i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.35962 | − | 3.16745i | 0.146464 | − | 0.106413i | ||||
\(887\) | 24.6252 | + | 17.8912i | 0.826832 | + | 0.600728i | 0.918661 | − | 0.395046i | \(-0.129271\pi\) |
−0.0918294 | + | 0.995775i | \(0.529271\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −34.8228 | + | 25.3003i | −1.16792 | + | 0.848543i | ||||
\(890\) | 8.93738 | + | 14.1613i | 0.299582 | + | 0.474689i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.494021 | − | 1.52044i | −0.0165411 | − | 0.0509081i | ||||
\(893\) | 7.37357 | 0.246747 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.00276 | − | 9.51142i | −0.200650 | − | 0.317932i | ||||
\(896\) | 4.33228 | − | 13.3334i | 0.144731 | − | 0.445437i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.60058 | − | 2.61597i | 0.120153 | − | 0.0872961i | ||||
\(899\) | −84.0704 | −2.80391 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 21.3404 | 0.710952 | ||||||||
\(902\) | 2.49938 | − | 1.81590i | 0.0832202 | − | 0.0604630i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.5717 | − | 32.5364i | 0.351610 | − | 1.08214i | ||||
\(905\) | 5.89765 | + | 2.35215i | 0.196044 | + | 0.0781882i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.9403 | −0.496084 | −0.248042 | − | 0.968749i | \(-0.579787\pi\) | ||||
−0.248042 | + | 0.968749i | \(0.579787\pi\) | |||||||
\(908\) | 3.21445 | + | 9.89305i | 0.106675 | + | 0.328312i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −13.0528 | + | 15.6978i | −0.432695 | + | 0.520378i | ||||
\(911\) | −9.57024 | + | 6.95319i | −0.317076 | + | 0.230369i | −0.734927 | − | 0.678146i | \(-0.762784\pi\) |
0.417851 | + | 0.908516i | \(0.362784\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.63677 | + | 1.91573i | 0.0872645 | + | 0.0634013i | ||||
\(914\) | 3.58251 | − | 2.60285i | 0.118499 | − | 0.0860946i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.2755 | − | 11.0983i | −0.504718 | − | 0.366699i | ||||
\(917\) | −7.49374 | − | 23.0634i | −0.247465 | − | 0.761620i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.47476 | − | 29.1603i | −0.312543 | − | 0.961910i | −0.976754 | − | 0.214364i | \(-0.931232\pi\) |
0.664210 | − | 0.747546i | \(-0.268768\pi\) | |||||||
\(920\) | 32.5302 | − | 8.26553i | 1.07249 | − | 0.272506i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.23212 | − | 6.86975i | 0.0735109 | − | 0.226243i | ||||
\(923\) | 35.6999 | − | 25.9375i | 1.17508 | − | 0.853743i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.58149 | − | 3.31760i | 0.0519992 | − | 0.109082i | ||||
\(926\) | 3.58768 | 0.117898 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −15.6447 | + | 48.1494i | −0.513562 | + | 1.58058i | ||||
\(929\) | 1.99749 | − | 6.14763i | 0.0655354 | − | 0.201697i | −0.912927 | − | 0.408123i | \(-0.866183\pi\) |
0.978462 | + | 0.206426i | \(0.0661833\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.402571 | + | 1.23899i | 0.0131937 | + | 0.0406061i | ||||
\(932\) | 11.0820 | 0.363002 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −15.0737 | − | 10.9517i | −0.493225 | − | 0.358349i | ||||
\(935\) | 2.76856 | − | 0.703457i | 0.0905416 | − | 0.0230055i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.90312 | + | 7.19504i | 0.323521 | + | 0.235052i | 0.737676 | − | 0.675154i | \(-0.235923\pi\) |
−0.414155 | + | 0.910206i | \(0.635923\pi\) | |||||||
\(938\) | −28.4826 | − | 20.6938i | −0.929991 | − | 0.675678i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −7.01586 | + | 1.78264i | −0.228832 | + | 0.0581434i | ||||
\(941\) | 5.98241 | + | 4.34647i | 0.195021 | + | 0.141691i | 0.681011 | − | 0.732274i | \(-0.261541\pi\) |
−0.485990 | + | 0.873965i | \(0.661541\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −57.9545 | −1.88726 | ||||||||
\(944\) | 0.781425 | + | 2.40498i | 0.0254332 | + | 0.0782754i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0211310 | − | 0.0650346i | 0.000687029 | − | 0.00211446i | ||||
\(947\) | −8.95927 | + | 27.5738i | −0.291137 | + | 0.896028i | 0.693355 | + | 0.720596i | \(0.256132\pi\) |
−0.984492 | + | 0.175431i | \(0.943868\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.1827 | −0.525312 | ||||||||
\(950\) | 5.15267 | − | 10.8091i | 0.167175 | − | 0.350693i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 28.3726 | − | 20.6139i | 0.919561 | − | 0.668100i | ||||
\(953\) | 13.3073 | − | 40.9558i | 0.431067 | − | 1.32669i | −0.465997 | − | 0.884786i | \(-0.654304\pi\) |
0.897064 | − | 0.441901i | \(-0.145696\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 45.0364 | − | 11.4432i | 1.45734 | − | 0.370293i | ||||
\(956\) | −7.27921 | − | 22.4031i | −0.235427 | − | 0.724568i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.05421 | − | 24.7883i | −0.260220 | − | 0.800874i | ||||
\(959\) | 19.1452 | + | 13.9098i | 0.618230 | + | 0.449170i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −39.6324 | + | 28.7946i | −1.27847 | + | 0.928859i | ||||
\(962\) | 1.98127 | + | 1.43948i | 0.0638788 | + | 0.0464107i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.544006 | − | 0.395243i | 0.0175212 | − | 0.0127299i | ||||
\(965\) | 12.0959 | − | 14.5471i | 0.389382 | − | 0.468288i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.86384 | + | 30.3578i | 0.317200 | + | 0.976240i | 0.974840 | + | 0.222908i | \(0.0715549\pi\) |
−0.657640 | + | 0.753333i | \(0.728445\pi\) | |||||||
\(968\) | −31.9270 | −1.02617 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −32.1222 | − | 12.8113i | −1.03138 | − | 0.411345i | ||||
\(971\) | −3.65314 | + | 11.2432i | −0.117235 | + | 0.360812i | −0.992407 | − | 0.123001i | \(-0.960748\pi\) |
0.875172 | + | 0.483812i | \(0.160748\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 17.7742 | − | 12.9137i | 0.569813 | − | 0.413994i | ||||
\(974\) | −29.7110 | −0.952001 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.987138 | 0.0315975 | ||||||||
\(977\) | −12.7718 | + | 9.27927i | −0.408607 | + | 0.296870i | −0.773038 | − | 0.634360i | \(-0.781264\pi\) |
0.364431 | + | 0.931231i | \(0.381264\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.721279 | − | 2.21987i | 0.0230522 | − | 0.0709473i | ||||
\(980\) | −0.682580 | − | 1.08155i | −0.0218042 | − | 0.0345490i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.59176 | −0.146529 | ||||||||
\(983\) | −7.89312 | − | 24.2925i | −0.251751 | − | 0.774811i | −0.994452 | − | 0.105188i | \(-0.966456\pi\) |
0.742701 | − | 0.669623i | \(-0.233544\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.52408 | − | 11.9220i | −0.239737 | − | 0.379865i | ||||
\(986\) | −31.1703 | + | 22.6465i | −0.992664 | + | 0.721213i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.25471 | − | 5.99740i | −0.262617 | − | 0.190803i | ||||
\(989\) | −1.03779 | + | 0.753997i | −0.0329997 | + | 0.0239757i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.07727 | + | 0.782683i | 0.0342207 | + | 0.0248628i | 0.604764 | − | 0.796405i | \(-0.293267\pi\) |
−0.570543 | + | 0.821267i | \(0.693267\pi\) | |||||||
\(992\) | 14.8851 | + | 45.8115i | 0.472601 | + | 1.45452i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −9.84378 | − | 30.2960i | −0.312226 | − | 0.960932i | ||||
\(995\) | 27.7621 | − | 33.3880i | 0.880119 | − | 1.05847i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 15.9754 | − | 49.1673i | 0.505947 | − | 1.55714i | −0.293227 | − | 0.956043i | \(-0.594729\pi\) |
0.799173 | − | 0.601101i | \(-0.205271\pi\) | |||||||
\(998\) | 2.37687 | − | 1.72689i | 0.0752384 | − | 0.0546639i | ||||
\(999\) | 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 | 225.2.h.e.136.3 | yes | 16 | |
3.2 | odd | 2 | inner | 225.2.h.e.136.2 | yes | 16 | |
25.4 | even | 10 | 5625.2.a.v.1.6 | 8 | |||
25.16 | even | 5 | inner | 225.2.h.e.91.3 | yes | 16 | |
25.21 | even | 5 | 5625.2.a.w.1.3 | 8 | |||
75.29 | odd | 10 | 5625.2.a.v.1.3 | 8 | |||
75.41 | odd | 10 | inner | 225.2.h.e.91.2 | ✓ | 16 | |
75.71 | odd | 10 | 5625.2.a.w.1.6 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.h.e.91.2 | ✓ | 16 | 75.41 | odd | 10 | inner | |
225.2.h.e.91.3 | yes | 16 | 25.16 | even | 5 | inner | |
225.2.h.e.136.2 | yes | 16 | 3.2 | odd | 2 | inner | |
225.2.h.e.136.3 | yes | 16 | 1.1 | even | 1 | trivial | |
5625.2.a.v.1.3 | 8 | 75.29 | odd | 10 | |||
5625.2.a.v.1.6 | 8 | 25.4 | even | 10 | |||
5625.2.a.w.1.3 | 8 | 25.21 | even | 5 | |||
5625.2.a.w.1.6 | 8 | 75.71 | odd | 10 |