Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 118.4 | ||
Character | \(\chi\) | \(=\) | 605.118 |
Dual form | 605.2.m.f.282.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25054 | − | 0.198066i | −0.884266 | − | 0.140054i | −0.302247 | − | 0.953230i | \(-0.597737\pi\) |
−0.582018 | + | 0.813176i | \(0.697737\pi\) | |||||||
\(3\) | 1.03183 | − | 2.02507i | 0.595726 | − | 1.16918i | −0.374557 | − | 0.927204i | \(-0.622205\pi\) |
0.970283 | − | 0.241974i | \(-0.0777947\pi\) | |||||||
\(4\) | −0.377491 | − | 0.122654i | −0.188745 | − | 0.0613271i | ||||
\(5\) | 1.65288 | − | 1.50599i | 0.739189 | − | 0.673498i | ||||
\(6\) | −1.69144 | + | 2.32807i | −0.690528 | + | 0.950430i | ||||
\(7\) | −2.28322 | + | 1.16336i | −0.862974 | + | 0.439707i | −0.828692 | − | 0.559705i | \(-0.810915\pi\) |
−0.0342822 | + | 0.999412i | \(0.510915\pi\) | |||||||
\(8\) | 2.70403 | + | 1.37777i | 0.956020 | + | 0.487116i | ||||
\(9\) | −1.27290 | − | 1.75200i | −0.424302 | − | 0.584001i | ||||
\(10\) | −2.36528 | + | 1.55592i | −0.747966 | + | 0.492025i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.637889 | + | 0.637889i | −0.184143 | + | 0.184143i | ||||
\(13\) | 0.779496 | − | 4.92155i | 0.216193 | − | 1.36499i | −0.605856 | − | 0.795575i | \(-0.707169\pi\) |
0.822049 | − | 0.569417i | \(-0.192831\pi\) | |||||||
\(14\) | 3.08568 | − | 1.00260i | 0.824681 | − | 0.267955i | ||||
\(15\) | −1.34425 | − | 4.90112i | −0.347084 | − | 1.26546i | ||||
\(16\) | −2.46639 | − | 1.79193i | −0.616597 | − | 0.447984i | ||||
\(17\) | 0.0470767 | + | 0.297231i | 0.0114178 | + | 0.0720890i | 0.992739 | − | 0.120286i | \(-0.0383811\pi\) |
−0.981322 | + | 0.192375i | \(0.938381\pi\) | |||||||
\(18\) | 1.24481 | + | 2.44307i | 0.293404 | + | 0.575837i | ||||
\(19\) | −1.87958 | − | 5.78475i | −0.431205 | − | 1.32711i | −0.896926 | − | 0.442180i | \(-0.854205\pi\) |
0.465721 | − | 0.884931i | \(-0.345795\pi\) | |||||||
\(20\) | −0.808662 | + | 0.365764i | −0.180822 | + | 0.0817873i | ||||
\(21\) | 5.82406i | 1.27091i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.07364 | − | 5.07364i | −1.05793 | − | 1.05793i | −0.998216 | − | 0.0597111i | \(-0.980982\pi\) |
−0.0597111 | − | 0.998216i | \(-0.519018\pi\) | |||||||
\(24\) | 5.58019 | − | 4.05424i | 1.13905 | − | 0.827569i | ||||
\(25\) | 0.464008 | − | 4.97842i | 0.0928015 | − | 0.995685i | ||||
\(26\) | −1.94958 | + | 6.00020i | −0.382345 | + | 1.17674i | ||||
\(27\) | 1.87308 | − | 0.296667i | 0.360475 | − | 0.0570936i | ||||
\(28\) | 1.00458 | − | 0.159110i | 0.189848 | − | 0.0300690i | ||||
\(29\) | −1.23121 | + | 3.78926i | −0.228629 | + | 0.703648i | 0.769274 | + | 0.638919i | \(0.220618\pi\) |
−0.997903 | + | 0.0647286i | \(0.979382\pi\) | |||||||
\(30\) | 0.710296 | + | 6.39530i | 0.129682 | + | 1.16762i | ||||
\(31\) | −6.14370 | + | 4.46366i | −1.10344 | + | 0.801697i | −0.981618 | − | 0.190855i | \(-0.938874\pi\) |
−0.121823 | + | 0.992552i | \(0.538874\pi\) | |||||||
\(32\) | −1.56247 | − | 1.56247i | −0.276208 | − | 0.276208i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 0.381023i | − | 0.0653449i | ||||||
\(35\) | −2.02188 | + | 5.36138i | −0.341759 | + | 0.906238i | ||||
\(36\) | 0.265619 | + | 0.817492i | 0.0442699 | + | 0.136249i | ||||
\(37\) | 2.92965 | + | 5.74976i | 0.481632 | + | 0.945255i | 0.996141 | + | 0.0877705i | \(0.0279742\pi\) |
−0.514509 | + | 0.857485i | \(0.672026\pi\) | |||||||
\(38\) | 1.20473 | + | 7.60634i | 0.195432 | + | 1.23391i | ||||
\(39\) | −9.16219 | − | 6.65672i | −1.46713 | − | 1.06593i | ||||
\(40\) | 6.54434 | − | 1.79495i | 1.03475 | − | 0.283806i | ||||
\(41\) | −2.30661 | + | 0.749464i | −0.360233 | + | 0.117047i | −0.483541 | − | 0.875322i | \(-0.660650\pi\) |
0.123308 | + | 0.992368i | \(0.460650\pi\) | |||||||
\(42\) | 1.15355 | − | 7.28323i | 0.177997 | − | 1.12383i | ||||
\(43\) | −1.43561 | + | 1.43561i | −0.218928 | + | 0.218928i | −0.808047 | − | 0.589119i | \(-0.799475\pi\) |
0.589119 | + | 0.808047i | \(0.299475\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.74245 | − | 0.978869i | −0.706963 | − | 0.145921i | ||||
\(46\) | 5.33988 | + | 7.34971i | 0.787322 | + | 1.08366i | ||||
\(47\) | 3.14697 | + | 1.60346i | 0.459033 | + | 0.233889i | 0.668187 | − | 0.743994i | \(-0.267071\pi\) |
−0.209153 | + | 0.977883i | \(0.567071\pi\) | |||||||
\(48\) | −6.17369 | + | 3.14565i | −0.891095 | + | 0.454036i | ||||
\(49\) | −0.254823 | + | 0.350734i | −0.0364033 | + | 0.0501048i | ||||
\(50\) | −1.56632 | + | 6.13382i | −0.221511 | + | 0.867453i | ||||
\(51\) | 0.650489 | + | 0.211357i | 0.0910867 | + | 0.0295959i | ||||
\(52\) | −0.897901 | + | 1.76223i | −0.124516 | + | 0.244377i | ||||
\(53\) | 8.68003 | + | 1.37478i | 1.19229 | + | 0.188841i | 0.720873 | − | 0.693067i | \(-0.243741\pi\) |
0.471421 | + | 0.881908i | \(0.343741\pi\) | |||||||
\(54\) | −2.40113 | −0.326752 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −7.77673 | −1.03921 | ||||||||
\(57\) | −13.6539 | − | 2.16257i | −1.80851 | − | 0.286440i | ||||
\(58\) | 2.29020 | − | 4.49476i | 0.300718 | − | 0.590191i | ||||
\(59\) | −1.11721 | − | 0.363002i | −0.145448 | − | 0.0472588i | 0.235388 | − | 0.971901i | \(-0.424364\pi\) |
−0.380836 | + | 0.924643i | \(0.624364\pi\) | |||||||
\(60\) | −0.0937000 | + | 2.01501i | −0.0120966 | + | 0.260136i | ||||
\(61\) | −0.0546362 | + | 0.0752003i | −0.00699545 | + | 0.00962842i | −0.812500 | − | 0.582961i | \(-0.801894\pi\) |
0.805505 | + | 0.592589i | \(0.201894\pi\) | |||||||
\(62\) | 8.56705 | − | 4.36513i | 1.08802 | − | 0.554372i | ||||
\(63\) | 4.94452 | + | 2.51936i | 0.622951 | + | 0.317409i | ||||
\(64\) | 5.22833 | + | 7.19618i | 0.653541 | + | 0.899522i | ||||
\(65\) | −6.12337 | − | 9.30862i | −0.759511 | − | 1.15459i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.07364 | − | 7.07364i | 0.864183 | − | 0.864183i | −0.127638 | − | 0.991821i | \(-0.540740\pi\) |
0.991821 | + | 0.127638i | \(0.0407397\pi\) | |||||||
\(68\) | 0.0186856 | − | 0.117976i | 0.00226596 | − | 0.0143067i | ||||
\(69\) | −15.5096 | + | 5.03938i | −1.86714 | + | 0.606670i | ||||
\(70\) | 3.59035 | − | 6.30416i | 0.429128 | − | 0.753491i | ||||
\(71\) | −9.09599 | − | 6.60862i | −1.07950 | − | 0.784299i | −0.101900 | − | 0.994795i | \(-0.532492\pi\) |
−0.977595 | + | 0.210495i | \(0.932492\pi\) | |||||||
\(72\) | −1.02811 | − | 6.49125i | −0.121164 | − | 0.765001i | ||||
\(73\) | −1.80175 | − | 3.53613i | −0.210879 | − | 0.413873i | 0.761204 | − | 0.648513i | \(-0.224609\pi\) |
−0.972082 | + | 0.234640i | \(0.924609\pi\) | |||||||
\(74\) | −2.52481 | − | 7.77058i | −0.293504 | − | 0.903312i | ||||
\(75\) | −9.60290 | − | 6.07652i | −1.10885 | − | 0.701656i | ||||
\(76\) | 2.41423i | 0.276931i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 10.1392 | + | 10.1392i | 1.14804 | + | 1.14804i | ||||
\(79\) | 1.90794 | − | 1.38620i | 0.214660 | − | 0.155959i | −0.475260 | − | 0.879846i | \(-0.657646\pi\) |
0.689919 | + | 0.723886i | \(0.257646\pi\) | |||||||
\(80\) | −6.77527 | + | 0.752497i | −0.757498 | + | 0.0841317i | ||||
\(81\) | 3.33954 | − | 10.2781i | 0.371060 | − | 1.14201i | ||||
\(82\) | 3.03296 | − | 0.480373i | 0.334934 | − | 0.0530484i | ||||
\(83\) | 8.19874 | − | 1.29855i | 0.899928 | − | 0.142535i | 0.310706 | − | 0.950506i | \(-0.399434\pi\) |
0.589222 | + | 0.807971i | \(0.299434\pi\) | |||||||
\(84\) | 0.714346 | − | 2.19853i | 0.0779415 | − | 0.239879i | ||||
\(85\) | 0.525437 | + | 0.420389i | 0.0569917 | + | 0.0455976i | ||||
\(86\) | 2.07963 | − | 1.51094i | 0.224252 | − | 0.162929i | ||||
\(87\) | 6.40314 | + | 6.40314i | 0.686489 | + | 0.686489i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 2.55325i | − | 0.270644i | −0.990802 | − | 0.135322i | \(-0.956793\pi\) | ||
0.990802 | − | 0.135322i | \(-0.0432069\pi\) | |||||||
\(90\) | 5.73675 | + | 2.16343i | 0.604706 | + | 0.228046i | ||||
\(91\) | 3.94575 | + | 12.1438i | 0.413627 | + | 1.27301i | ||||
\(92\) | 1.29295 | + | 2.53756i | 0.134799 | + | 0.264558i | ||||
\(93\) | 2.70001 | + | 17.0472i | 0.279978 | + | 1.76771i | ||||
\(94\) | −3.61783 | − | 2.62850i | −0.373150 | − | 0.271110i | ||||
\(95\) | −11.8185 | − | 6.73086i | −1.21255 | − | 0.690571i | ||||
\(96\) | −4.77631 | + | 1.55192i | −0.487480 | + | 0.158392i | ||||
\(97\) | −1.17781 | + | 7.43640i | −0.119588 | + | 0.755052i | 0.852895 | + | 0.522082i | \(0.174844\pi\) |
−0.972484 | + | 0.232970i | \(0.925156\pi\) | |||||||
\(98\) | 0.388135 | − | 0.388135i | 0.0392076 | − | 0.0392076i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.785783 | + | 1.82240i | −0.0785783 | + | 0.182240i | ||||
\(101\) | −9.42579 | − | 12.9735i | −0.937901 | − | 1.29091i | −0.956697 | − | 0.291087i | \(-0.905983\pi\) |
0.0187957 | − | 0.999823i | \(-0.494017\pi\) | |||||||
\(102\) | −0.771601 | − | 0.393150i | −0.0763998 | − | 0.0389277i | ||||
\(103\) | 1.28238 | − | 0.653404i | 0.126356 | − | 0.0643818i | −0.389670 | − | 0.920955i | \(-0.627411\pi\) |
0.516026 | + | 0.856573i | \(0.327411\pi\) | |||||||
\(104\) | 8.88856 | − | 12.2341i | 0.871595 | − | 1.19965i | ||||
\(105\) | 8.77096 | + | 9.62646i | 0.855958 | + | 0.939447i | ||||
\(106\) | −10.5824 | − | 3.43844i | −1.02786 | − | 0.333971i | ||||
\(107\) | 5.07693 | − | 9.96405i | 0.490806 | − | 0.963261i | −0.504214 | − | 0.863579i | \(-0.668218\pi\) |
0.995019 | − | 0.0996816i | \(-0.0317824\pi\) | |||||||
\(108\) | −0.743459 | − | 0.117752i | −0.0715394 | − | 0.0113307i | ||||
\(109\) | 16.2607 | 1.55749 | 0.778746 | − | 0.627339i | \(-0.215856\pi\) | ||||
0.778746 | + | 0.627339i | \(0.215856\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 14.6666 | 1.39209 | ||||||||
\(112\) | 7.71595 | + | 1.22209i | 0.729089 | + | 0.115476i | ||||
\(113\) | 0.871944 | − | 1.71129i | 0.0820256 | − | 0.160984i | −0.846350 | − | 0.532626i | \(-0.821205\pi\) |
0.928376 | + | 0.371642i | \(0.121205\pi\) | |||||||
\(114\) | 16.6465 | + | 5.40877i | 1.55909 | + | 0.506578i | ||||
\(115\) | −16.0269 | − | 0.745270i | −1.49452 | − | 0.0694968i | ||||
\(116\) | 0.929537 | − | 1.27940i | 0.0863054 | − | 0.118789i | ||||
\(117\) | −9.61479 | + | 4.89898i | −0.888888 | + | 0.452911i | ||||
\(118\) | 1.32521 | + | 0.675230i | 0.121996 | + | 0.0621599i | ||||
\(119\) | −0.453271 | − | 0.623874i | −0.0415513 | − | 0.0571905i | ||||
\(120\) | 3.11773 | − | 15.1049i | 0.284608 | − | 1.37888i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 0.0832195 | − | 0.0832195i | 0.00753434 | − | 0.00753434i | ||||
\(123\) | −0.862306 | + | 5.44438i | −0.0777515 | + | 0.490904i | ||||
\(124\) | 2.86668 | − | 0.931440i | 0.257435 | − | 0.0836457i | ||||
\(125\) | −6.73049 | − | 8.92751i | −0.601993 | − | 0.798501i | ||||
\(126\) | −5.68432 | − | 4.12990i | −0.506400 | − | 0.367921i | ||||
\(127\) | 0.394254 | + | 2.48922i | 0.0349844 | + | 0.220883i | 0.998986 | − | 0.0450121i | \(-0.0143326\pi\) |
−0.964002 | + | 0.265895i | \(0.914333\pi\) | |||||||
\(128\) | −3.10659 | − | 6.09702i | −0.274586 | − | 0.538905i | ||||
\(129\) | 1.42591 | + | 4.38851i | 0.125545 | + | 0.386387i | ||||
\(130\) | 5.81380 | + | 12.8536i | 0.509904 | + | 1.12734i | ||||
\(131\) | − | 13.8354i | − | 1.20880i | −0.796680 | − | 0.604401i | \(-0.793412\pi\) | ||
0.796680 | − | 0.604401i | \(-0.206588\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.0212 | + | 11.0212i | 0.955659 | + | 0.955659i | ||||
\(134\) | −10.2469 | + | 7.44483i | −0.885199 | + | 0.643135i | ||||
\(135\) | 2.64920 | − | 3.31119i | 0.228007 | − | 0.284982i | ||||
\(136\) | −0.282219 | + | 0.868582i | −0.0242001 | + | 0.0744803i | ||||
\(137\) | 1.93754 | − | 0.306877i | 0.165535 | − | 0.0262182i | −0.0731165 | − | 0.997323i | \(-0.523294\pi\) |
0.238652 | + | 0.971105i | \(0.423294\pi\) | |||||||
\(138\) | 20.3935 | − | 3.23002i | 1.73601 | − | 0.274958i | ||||
\(139\) | −2.67729 | + | 8.23984i | −0.227084 | + | 0.698894i | 0.770989 | + | 0.636849i | \(0.219762\pi\) |
−0.998073 | + | 0.0620453i | \(0.980238\pi\) | |||||||
\(140\) | 1.42084 | − | 1.77588i | 0.120082 | − | 0.150089i | ||||
\(141\) | 6.49426 | − | 4.71836i | 0.546916 | − | 0.397357i | ||||
\(142\) | 10.0660 | + | 10.0660i | 0.844717 | + | 0.844717i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.60208i | 0.550173i | ||||||||
\(145\) | 3.67154 | + | 8.11736i | 0.304905 | + | 0.674110i | ||||
\(146\) | 1.55277 | + | 4.77894i | 0.128508 | + | 0.395508i | ||||
\(147\) | 0.447329 | + | 0.877932i | 0.0368951 | + | 0.0724106i | ||||
\(148\) | −0.400684 | − | 2.52982i | −0.0329360 | − | 0.207950i | ||||
\(149\) | 6.88899 | + | 5.00515i | 0.564368 | + | 0.410038i | 0.833055 | − | 0.553190i | \(-0.186590\pi\) |
−0.268687 | + | 0.963228i | \(0.586590\pi\) | |||||||
\(150\) | 10.8053 | + | 9.50095i | 0.882247 | + | 0.775749i | ||||
\(151\) | −6.55520 | + | 2.12991i | −0.533454 | + | 0.173330i | −0.563343 | − | 0.826223i | \(-0.690485\pi\) |
0.0298882 | + | 0.999553i | \(0.490485\pi\) | |||||||
\(152\) | 2.88763 | − | 18.2318i | 0.234218 | − | 1.47879i | ||||
\(153\) | 0.460825 | − | 0.460825i | 0.0372555 | − | 0.0372555i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.43257 | + | 16.6302i | −0.275711 | + | 1.33577i | ||||
\(156\) | 2.64217 | + | 3.63663i | 0.211543 | + | 0.291164i | ||||
\(157\) | 4.85901 | + | 2.47579i | 0.387791 | + | 0.197589i | 0.637006 | − | 0.770859i | \(-0.280173\pi\) |
−0.249215 | + | 0.968448i | \(0.580173\pi\) | |||||||
\(158\) | −2.66051 | + | 1.35560i | −0.211659 | + | 0.107846i | ||||
\(159\) | 11.7403 | − | 16.1592i | 0.931069 | − | 1.28151i | ||||
\(160\) | −4.93563 | − | 0.229512i | −0.390196 | − | 0.0181445i | ||||
\(161\) | 17.4867 | + | 5.68176i | 1.37814 | + | 0.447785i | ||||
\(162\) | −6.21197 | + | 12.1917i | −0.488058 | + | 0.957868i | ||||
\(163\) | 2.21277 | + | 0.350469i | 0.173318 | + | 0.0274508i | 0.242490 | − | 0.970154i | \(-0.422036\pi\) |
−0.0691723 | + | 0.997605i | \(0.522036\pi\) | |||||||
\(164\) | 0.962651 | 0.0751704 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.5101 | −0.815738 | ||||||||
\(167\) | 8.30924 | + | 1.31605i | 0.642988 | + | 0.101839i | 0.469409 | − | 0.882981i | \(-0.344467\pi\) |
0.173579 | + | 0.984820i | \(0.444467\pi\) | |||||||
\(168\) | −8.02424 | + | 15.7485i | −0.619084 | + | 1.21502i | ||||
\(169\) | −11.2503 | − | 3.65544i | −0.865406 | − | 0.281187i | ||||
\(170\) | −0.573816 | − | 0.629785i | −0.0440097 | − | 0.0483023i | ||||
\(171\) | −7.74237 | + | 10.6565i | −0.592074 | + | 0.814920i | ||||
\(172\) | 0.718012 | − | 0.365845i | 0.0547479 | − | 0.0278954i | ||||
\(173\) | 12.3025 | + | 6.26846i | 0.935345 | + | 0.476582i | 0.854098 | − | 0.520112i | \(-0.174110\pi\) |
0.0812468 | + | 0.996694i | \(0.474110\pi\) | |||||||
\(174\) | −6.73915 | − | 9.27564i | −0.510893 | − | 0.703184i | ||||
\(175\) | 4.73225 | + | 11.9066i | 0.357725 | + | 0.900056i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.88787 | + | 1.88787i | −0.141901 | + | 0.141901i | ||||
\(178\) | −0.505712 | + | 3.19294i | −0.0379047 | + | 0.239321i | ||||
\(179\) | −6.55220 | + | 2.12894i | −0.489734 | + | 0.159124i | −0.543466 | − | 0.839431i | \(-0.682888\pi\) |
0.0537320 | + | 0.998555i | \(0.482888\pi\) | |||||||
\(180\) | 1.67017 | + | 0.951195i | 0.124487 | + | 0.0708979i | ||||
\(181\) | 18.8254 | + | 13.6775i | 1.39928 | + | 1.01664i | 0.994774 | + | 0.102106i | \(0.0325580\pi\) |
0.404510 | + | 0.914533i | \(0.367442\pi\) | |||||||
\(182\) | −2.52905 | − | 15.9678i | −0.187466 | − | 1.18361i | ||||
\(183\) | 0.0959111 | + | 0.188236i | 0.00708996 | + | 0.0139148i | ||||
\(184\) | −6.72896 | − | 20.7096i | −0.496065 | − | 1.52673i | ||||
\(185\) | 13.5014 | + | 5.09164i | 0.992644 | + | 0.374345i | ||||
\(186\) | − | 21.8530i | − | 1.60234i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −0.991282 | − | 0.991282i | −0.0722967 | − | 0.0722967i | ||||
\(189\) | −3.93152 | + | 2.85642i | −0.285976 | + | 0.207774i | ||||
\(190\) | 13.4463 | + | 10.7580i | 0.975498 | + | 0.780471i | ||||
\(191\) | 2.32799 | − | 7.16480i | 0.168447 | − | 0.518427i | −0.830827 | − | 0.556531i | \(-0.812132\pi\) |
0.999274 | + | 0.0381043i | \(0.0121319\pi\) | |||||||
\(192\) | 19.9675 | − | 3.16255i | 1.44103 | − | 0.228237i | ||||
\(193\) | 24.9586 | − | 3.95305i | 1.79656 | − | 0.284547i | 0.833240 | − | 0.552912i | \(-0.186483\pi\) |
0.963317 | + | 0.268365i | \(0.0864834\pi\) | |||||||
\(194\) | 2.94580 | − | 9.06624i | 0.211496 | − | 0.650918i | ||||
\(195\) | −25.1689 | + | 2.79540i | −1.80238 | + | 0.200182i | ||||
\(196\) | 0.139212 | − | 0.101144i | 0.00994374 | − | 0.00722455i | ||||
\(197\) | −10.3579 | − | 10.3579i | −0.737967 | − | 0.737967i | 0.234217 | − | 0.972184i | \(-0.424747\pi\) |
−0.972184 | + | 0.234217i | \(0.924747\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 8.62950i | − | 0.611729i | −0.952075 | − | 0.305865i | \(-0.901055\pi\) | ||
0.952075 | − | 0.305865i | \(-0.0989455\pi\) | |||||||
\(200\) | 8.11383 | − | 12.8225i | 0.573734 | − | 0.906689i | ||||
\(201\) | −7.02588 | − | 21.6234i | −0.495567 | − | 1.52520i | ||||
\(202\) | 9.21772 | + | 18.0908i | 0.648557 | + | 1.27286i | ||||
\(203\) | −1.59715 | − | 10.0840i | −0.112098 | − | 0.707760i | ||||
\(204\) | −0.219630 | − | 0.159570i | −0.0153772 | − | 0.0111722i | ||||
\(205\) | −2.68387 | + | 4.71250i | −0.187449 | + | 0.329135i | ||||
\(206\) | −1.73308 | + | 0.563113i | −0.120750 | + | 0.0392339i | ||||
\(207\) | −2.43077 | + | 15.3473i | −0.168950 | + | 1.06671i | ||||
\(208\) | −10.7416 | + | 10.7416i | −0.744798 | + | 0.744798i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −9.06177 | − | 13.7755i | −0.625322 | − | 0.950601i | ||||
\(211\) | 9.94032 | + | 13.6817i | 0.684320 | + | 0.941885i | 0.999976 | − | 0.00698866i | \(-0.00222458\pi\) |
−0.315656 | + | 0.948874i | \(0.602225\pi\) | |||||||
\(212\) | −3.10801 | − | 1.58361i | −0.213459 | − | 0.108763i | ||||
\(213\) | −22.7684 | + | 11.6011i | −1.56007 | + | 0.794894i | ||||
\(214\) | −8.32245 | + | 11.4549i | −0.568911 | + | 0.783039i | ||||
\(215\) | −0.210877 | + | 4.53489i | −0.0143817 | + | 0.309277i | ||||
\(216\) | 5.47362 | + | 1.77849i | 0.372433 | + | 0.121011i | ||||
\(217\) | 8.83456 | − | 17.3388i | 0.599729 | − | 1.17703i | ||||
\(218\) | −20.3347 | − | 3.22069i | −1.37724 | − | 0.218133i | ||||
\(219\) | −9.02002 | −0.609517 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.49953 | 0.100869 | ||||||||
\(222\) | −18.3412 | − | 2.90496i | −1.23098 | − | 0.194968i | ||||
\(223\) | −3.42025 | + | 6.71262i | −0.229037 | + | 0.449510i | −0.976712 | − | 0.214554i | \(-0.931170\pi\) |
0.747675 | + | 0.664065i | \(0.231170\pi\) | |||||||
\(224\) | 5.38516 | + | 1.74974i | 0.359811 | + | 0.116910i | ||||
\(225\) | −9.31285 | + | 5.52412i | −0.620857 | + | 0.368274i | ||||
\(226\) | −1.42935 | + | 1.96733i | −0.0950789 | + | 0.130865i | ||||
\(227\) | −5.23244 | + | 2.66606i | −0.347289 | + | 0.176953i | −0.618930 | − | 0.785446i | \(-0.712434\pi\) |
0.271641 | + | 0.962399i | \(0.412434\pi\) | |||||||
\(228\) | 4.88899 | + | 2.49106i | 0.323781 | + | 0.164975i | ||||
\(229\) | −14.0925 | − | 19.3966i | −0.931256 | − | 1.28176i | −0.959368 | − | 0.282159i | \(-0.908949\pi\) |
0.0281112 | − | 0.999605i | \(-0.491051\pi\) | |||||||
\(230\) | 19.8947 | + | 4.10639i | 1.31182 | + | 0.270767i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.54996 | + | 8.54996i | −0.561332 | + | 0.561332i | ||||
\(233\) | 2.25466 | − | 14.2354i | 0.147708 | − | 0.932590i | −0.796834 | − | 0.604198i | \(-0.793493\pi\) |
0.944542 | − | 0.328392i | \(-0.106507\pi\) | |||||||
\(234\) | 12.9940 | − | 4.22201i | 0.849445 | − | 0.276001i | ||||
\(235\) | 7.61635 | − | 2.08897i | 0.496836 | − | 0.136269i | ||||
\(236\) | 0.377211 | + | 0.274060i | 0.0245544 | + | 0.0178398i | ||||
\(237\) | −0.838492 | − | 5.29403i | −0.0544659 | − | 0.343884i | ||||
\(238\) | 0.443266 | + | 0.869958i | 0.0287327 | + | 0.0563910i | ||||
\(239\) | 4.67164 | + | 14.3778i | 0.302183 | + | 0.930024i | 0.980713 | + | 0.195451i | \(0.0626172\pi\) |
−0.678530 | + | 0.734572i | \(0.737383\pi\) | |||||||
\(240\) | −5.46704 | + | 14.4969i | −0.352896 | + | 0.935769i | ||||
\(241\) | 3.12966i | 0.201599i | 0.994907 | + | 0.100800i | \(0.0321401\pi\) | ||||
−0.994907 | + | 0.100800i | \(0.967860\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −13.3451 | − | 13.3451i | −0.856086 | − | 0.856086i | ||||
\(244\) | 0.0298483 | − | 0.0216861i | 0.00191084 | − | 0.00138831i | ||||
\(245\) | 0.107009 | + | 0.963480i | 0.00683657 | + | 0.0615545i | ||||
\(246\) | 2.15670 | − | 6.63763i | 0.137506 | − | 0.423200i | ||||
\(247\) | −29.9350 | + | 4.74124i | −1.90472 | + | 0.301678i | ||||
\(248\) | −22.7627 | + | 3.60525i | −1.44543 | + | 0.228934i | ||||
\(249\) | 5.83001 | − | 17.9429i | 0.369462 | − | 1.13709i | ||||
\(250\) | 6.64852 | + | 12.4973i | 0.420489 | + | 0.790399i | ||||
\(251\) | 5.01370 | − | 3.64266i | 0.316462 | − | 0.229923i | −0.418202 | − | 0.908354i | \(-0.637340\pi\) |
0.734664 | + | 0.678431i | \(0.237340\pi\) | |||||||
\(252\) | −1.55750 | − | 1.55750i | −0.0981133 | − | 0.0981133i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 3.19096i | − | 0.200219i | ||||||
\(255\) | 1.39348 | − | 0.630281i | 0.0872631 | − | 0.0394697i | ||||
\(256\) | −2.82009 | − | 8.67935i | −0.176256 | − | 0.542459i | ||||
\(257\) | 0.614905 | + | 1.20682i | 0.0383567 | + | 0.0752793i | 0.909390 | − | 0.415946i | \(-0.136549\pi\) |
−0.871033 | + | 0.491225i | \(0.836549\pi\) | |||||||
\(258\) | −0.913947 | − | 5.77043i | −0.0568999 | − | 0.359252i | ||||
\(259\) | −13.3780 | − | 9.71972i | −0.831271 | − | 0.603954i | ||||
\(260\) | 1.16977 | + | 4.26498i | 0.0725464 | + | 0.264503i | ||||
\(261\) | 8.20600 | − | 2.66629i | 0.507939 | − | 0.165039i | ||||
\(262\) | −2.74032 | + | 17.3017i | −0.169298 | + | 1.06890i | ||||
\(263\) | −6.97161 | + | 6.97161i | −0.429888 | + | 0.429888i | −0.888590 | − | 0.458702i | \(-0.848314\pi\) |
0.458702 | + | 0.888590i | \(0.348314\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.4174 | − | 10.7997i | 1.00851 | − | 0.663418i | ||||
\(266\) | −11.5995 | − | 15.9654i | −0.711213 | − | 0.978901i | ||||
\(267\) | −5.17052 | − | 2.63451i | −0.316431 | − | 0.161230i | ||||
\(268\) | −3.53785 | + | 1.80262i | −0.216108 | + | 0.110113i | ||||
\(269\) | −7.96652 | + | 10.9650i | −0.485727 | + | 0.668547i | −0.979593 | − | 0.200992i | \(-0.935584\pi\) |
0.493865 | + | 0.869538i | \(0.335584\pi\) | |||||||
\(270\) | −3.96877 | + | 3.61606i | −0.241532 | + | 0.220067i | ||||
\(271\) | −5.12570 | − | 1.66544i | −0.311364 | − | 0.101168i | 0.149167 | − | 0.988812i | \(-0.452341\pi\) |
−0.460531 | + | 0.887644i | \(0.652341\pi\) | |||||||
\(272\) | 0.416508 | − | 0.817444i | 0.0252545 | − | 0.0495648i | ||||
\(273\) | 28.6634 | + | 4.53984i | 1.73479 | + | 0.274763i | ||||
\(274\) | −2.48376 | −0.150049 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.47284 | 0.389619 | ||||||||
\(277\) | 28.1706 | + | 4.46178i | 1.69261 | + | 0.268082i | 0.926955 | − | 0.375174i | \(-0.122417\pi\) |
0.765651 | + | 0.643256i | \(0.222417\pi\) | |||||||
\(278\) | 4.98009 | − | 9.77397i | 0.298686 | − | 0.586204i | ||||
\(279\) | 15.6407 | + | 5.08197i | 0.936383 | + | 0.304249i | ||||
\(280\) | −12.8540 | + | 11.7117i | −0.768172 | + | 0.699905i | ||||
\(281\) | −6.70908 | + | 9.23425i | −0.400230 | + | 0.550869i | −0.960802 | − | 0.277237i | \(-0.910581\pi\) |
0.560572 | + | 0.828106i | \(0.310581\pi\) | |||||||
\(282\) | −9.05589 | + | 4.61421i | −0.539270 | + | 0.274772i | ||||
\(283\) | 1.65537 | + | 0.843455i | 0.0984018 | + | 0.0501382i | 0.502499 | − | 0.864578i | \(-0.332414\pi\) |
−0.404097 | + | 0.914716i | \(0.632414\pi\) | |||||||
\(284\) | 2.62308 | + | 3.61036i | 0.155651 | + | 0.214235i | ||||
\(285\) | −25.8251 | + | 16.9882i | −1.52975 | + | 1.00629i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.39460 | − | 4.39460i | 0.259405 | − | 0.259405i | ||||
\(288\) | −0.748576 | + | 4.72632i | −0.0441103 | + | 0.278501i | ||||
\(289\) | 16.0818 | − | 5.22530i | 0.945990 | − | 0.307371i | ||||
\(290\) | −2.98364 | − | 10.8783i | −0.175205 | − | 0.638796i | ||||
\(291\) | 13.8440 | + | 10.0582i | 0.811548 | + | 0.589624i | ||||
\(292\) | 0.246422 | + | 1.55585i | 0.0144208 | + | 0.0910492i | ||||
\(293\) | −8.12751 | − | 15.9511i | −0.474814 | − | 0.931875i | −0.996877 | − | 0.0789683i | \(-0.974837\pi\) |
0.522063 | − | 0.852907i | \(-0.325163\pi\) | |||||||
\(294\) | −0.385514 | − | 1.18649i | −0.0224836 | − | 0.0691976i | ||||
\(295\) | −2.39328 | + | 1.08250i | −0.139342 | + | 0.0630255i | ||||
\(296\) | 19.5839i | 1.13829i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.62362 | − | 7.62362i | −0.441624 | − | 0.441624i | ||||
\(299\) | −28.9250 | + | 21.0153i | −1.67278 | + | 1.21534i | ||||
\(300\) | 2.87970 | + | 3.47167i | 0.166259 | + | 0.200437i | ||||
\(301\) | 1.60768 | − | 4.94792i | 0.0926650 | − | 0.285193i | ||||
\(302\) | 8.61941 | − | 1.36518i | 0.495991 | − | 0.0785573i | ||||
\(303\) | −35.9981 | + | 5.70153i | −2.06803 | + | 0.327544i | ||||
\(304\) | −5.73012 | + | 17.6355i | −0.328645 | + | 1.01147i | ||||
\(305\) | 0.0229437 | + | 0.206578i | 0.00131375 | + | 0.0118286i | ||||
\(306\) | −0.667554 | + | 0.485006i | −0.0381615 | + | 0.0277260i | ||||
\(307\) | 9.10688 | + | 9.10688i | 0.519757 | + | 0.519757i | 0.917498 | − | 0.397741i | \(-0.130206\pi\) |
−0.397741 | + | 0.917498i | \(0.630206\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 3.27111i | − | 0.186087i | ||||||
\(310\) | 7.58645 | − | 20.1169i | 0.430881 | − | 1.14256i | ||||
\(311\) | −5.82621 | − | 17.9312i | −0.330374 | − | 1.01679i | −0.968956 | − | 0.247233i | \(-0.920479\pi\) |
0.638582 | − | 0.769554i | \(-0.279521\pi\) | |||||||
\(312\) | −15.6034 | − | 30.6234i | −0.883369 | − | 1.73371i | ||||
\(313\) | −1.50145 | − | 9.47980i | −0.0848672 | − | 0.535830i | −0.993091 | − | 0.117346i | \(-0.962561\pi\) |
0.908224 | − | 0.418484i | \(-0.137439\pi\) | |||||||
\(314\) | −5.58602 | − | 4.05848i | −0.315237 | − | 0.229033i | ||||
\(315\) | 11.9668 | − | 3.28219i | 0.674253 | − | 0.184930i | ||||
\(316\) | −0.890252 | + | 0.289260i | −0.0500806 | + | 0.0162722i | ||||
\(317\) | 2.06475 | − | 13.0363i | 0.115968 | − | 0.732193i | −0.859350 | − | 0.511388i | \(-0.829132\pi\) |
0.975318 | − | 0.220805i | \(-0.0708685\pi\) | |||||||
\(318\) | −17.8823 | + | 17.8823i | −1.00279 | + | 1.00279i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 19.4791 | + | 4.02060i | 1.08892 | + | 0.224759i | ||||
\(321\) | −14.9394 | − | 20.5623i | −0.833837 | − | 1.14768i | ||||
\(322\) | −20.7424 | − | 10.5688i | −1.15593 | − | 0.588976i | ||||
\(323\) | 1.63092 | − | 0.830995i | 0.0907468 | − | 0.0462378i | ||||
\(324\) | −2.52129 | + | 3.47026i | −0.140072 | + | 0.192792i | ||||
\(325\) | −24.1398 | − | 6.16430i | −1.33904 | − | 0.341934i | ||||
\(326\) | −2.69775 | − | 0.876551i | −0.149414 | − | 0.0485477i | ||||
\(327\) | 16.7782 | − | 32.9291i | 0.927838 | − | 1.82098i | ||||
\(328\) | −7.26975 | − | 1.15142i | −0.401405 | − | 0.0635763i | ||||
\(329\) | −9.05061 | −0.498976 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.7005 | −0.698084 | −0.349042 | − | 0.937107i | \(-0.613493\pi\) | ||||
−0.349042 | + | 0.937107i | \(0.613493\pi\) | |||||||
\(332\) | −3.25422 | − | 0.515418i | −0.178599 | − | 0.0282872i | ||||
\(333\) | 6.34444 | − | 12.4517i | 0.347673 | − | 0.682347i | ||||
\(334\) | −10.1304 | − | 3.29156i | −0.554309 | − | 0.180106i | ||||
\(335\) | 1.03905 | − | 22.3447i | 0.0567694 | − | 1.22082i | ||||
\(336\) | 10.4363 | − | 14.3644i | 0.569349 | − | 0.783642i | ||||
\(337\) | 13.9105 | − | 7.08775i | 0.757753 | − | 0.386094i | −0.0320251 | − | 0.999487i | \(-0.510196\pi\) |
0.789778 | + | 0.613393i | \(0.210196\pi\) | |||||||
\(338\) | 13.3449 | + | 6.79957i | 0.725867 | + | 0.369848i | ||||
\(339\) | −2.56579 | − | 3.53150i | −0.139354 | − | 0.191805i | ||||
\(340\) | −0.146785 | − | 0.223140i | −0.00796055 | − | 0.0121015i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 11.7928 | − | 11.7928i | 0.637683 | − | 0.637683i | ||||
\(343\) | 2.97984 | − | 18.8140i | 0.160896 | − | 1.01586i | ||||
\(344\) | −5.85987 | + | 1.90399i | −0.315943 | + | 0.102656i | ||||
\(345\) | −18.0463 | + | 31.6868i | −0.971578 | + | 1.70596i | ||||
\(346\) | −14.1433 | − | 10.2757i | −0.760346 | − | 0.552424i | ||||
\(347\) | 0.373519 | + | 2.35831i | 0.0200516 | + | 0.126601i | 0.995684 | − | 0.0928126i | \(-0.0295857\pi\) |
−0.975632 | + | 0.219413i | \(0.929586\pi\) | |||||||
\(348\) | −1.63176 | − | 3.20250i | −0.0874713 | − | 0.171672i | ||||
\(349\) | 10.9107 | + | 33.5796i | 0.584034 | + | 1.79747i | 0.603115 | + | 0.797655i | \(0.293926\pi\) |
−0.0190803 | + | 0.999818i | \(0.506074\pi\) | |||||||
\(350\) | −3.55957 | − | 15.8270i | −0.190267 | − | 0.845989i | ||||
\(351\) | − | 9.44972i | − | 0.504389i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.0520523 | − | 0.0520523i | −0.00277046 | − | 0.00277046i | 0.705720 | − | 0.708491i | \(-0.250624\pi\) |
−0.708491 | + | 0.705720i | \(0.750624\pi\) | |||||||
\(354\) | 2.73478 | − | 1.98693i | 0.145352 | − | 0.105604i | ||||
\(355\) | −24.9871 | + | 2.77520i | −1.32617 | + | 0.147292i | ||||
\(356\) | −0.313167 | + | 0.963828i | −0.0165978 | + | 0.0510828i | ||||
\(357\) | −1.73109 | + | 0.274178i | −0.0916190 | + | 0.0145110i | ||||
\(358\) | 8.61546 | − | 1.36455i | 0.455341 | − | 0.0721190i | ||||
\(359\) | −5.01338 | + | 15.4296i | −0.264596 | + | 0.814342i | 0.727190 | + | 0.686436i | \(0.240826\pi\) |
−0.991786 | + | 0.127907i | \(0.959174\pi\) | |||||||
\(360\) | −11.4751 | − | 9.18091i | −0.604790 | − | 0.483877i | ||||
\(361\) | −14.5591 | + | 10.5778i | −0.766271 | + | 0.556728i | ||||
\(362\) | −20.8329 | − | 20.8329i | −1.09495 | − | 1.09495i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 5.06813i | − | 0.265642i | ||||||
\(365\) | −8.30344 | − | 3.13138i | −0.434622 | − | 0.163904i | ||||
\(366\) | −0.0826576 | − | 0.254394i | −0.00432058 | − | 0.0132974i | ||||
\(367\) | 5.97071 | + | 11.7182i | 0.311668 | + | 0.611683i | 0.992705 | − | 0.120565i | \(-0.0384708\pi\) |
−0.681037 | + | 0.732249i | \(0.738471\pi\) | |||||||
\(368\) | 3.42193 | + | 21.6052i | 0.178380 | + | 1.12625i | ||||
\(369\) | 4.24916 | + | 3.08720i | 0.221203 | + | 0.160713i | ||||
\(370\) | −15.8756 | − | 9.04148i | −0.825333 | − | 0.470044i | ||||
\(371\) | −21.4177 | + | 6.95905i | −1.11195 | + | 0.361296i | ||||
\(372\) | 1.07168 | − | 6.76632i | 0.0555640 | − | 0.350817i | ||||
\(373\) | 18.8004 | − | 18.8004i | 0.973446 | − | 0.973446i | −0.0262108 | − | 0.999656i | \(-0.508344\pi\) |
0.999656 | + | 0.0262108i | \(0.00834413\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −25.0236 | + | 4.41810i | −1.29221 | + | 0.228150i | ||||
\(376\) | 6.30031 | + | 8.67163i | 0.324914 | + | 0.447205i | ||||
\(377\) | 17.6893 | + | 9.01315i | 0.911045 | + | 0.464201i | ||||
\(378\) | 5.48229 | − | 2.79337i | 0.281979 | − | 0.143675i | ||||
\(379\) | 7.94654 | − | 10.9375i | 0.408187 | − | 0.561821i | −0.554588 | − | 0.832125i | \(-0.687124\pi\) |
0.962775 | + | 0.270304i | \(0.0871243\pi\) | |||||||
\(380\) | 3.63579 | + | 3.99042i | 0.186512 | + | 0.204704i | ||||
\(381\) | 5.44766 | + | 1.77005i | 0.279092 | + | 0.0906825i | ||||
\(382\) | −4.33035 | + | 8.49878i | −0.221560 | + | 0.434836i | ||||
\(383\) | −18.0378 | − | 2.85690i | −0.921687 | − | 0.145981i | −0.322481 | − | 0.946576i | \(-0.604517\pi\) |
−0.599206 | + | 0.800595i | \(0.704517\pi\) | |||||||
\(384\) | −15.5524 | −0.793654 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −31.9947 | −1.62849 | ||||||||
\(387\) | 4.34258 | + | 0.687797i | 0.220746 | + | 0.0349627i | ||||
\(388\) | 1.35672 | − | 2.66271i | 0.0688769 | − | 0.135179i | ||||
\(389\) | 16.8031 | + | 5.45965i | 0.851950 | + | 0.276815i | 0.702262 | − | 0.711918i | \(-0.252173\pi\) |
0.149687 | + | 0.988733i | \(0.452173\pi\) | |||||||
\(390\) | 32.0284 | + | 1.48936i | 1.62182 | + | 0.0754165i | ||||
\(391\) | 1.26919 | − | 1.74689i | 0.0641857 | − | 0.0883441i | ||||
\(392\) | −1.17228 | + | 0.597307i | −0.0592092 | + | 0.0301686i | ||||
\(393\) | −28.0177 | − | 14.2757i | −1.41330 | − | 0.720115i | ||||
\(394\) | 10.9014 | + | 15.0045i | 0.549204 | + | 0.755914i | ||||
\(395\) | 1.06599 | − | 5.16454i | 0.0536359 | − | 0.259856i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.7203 | + | 11.7203i | −0.588223 | + | 0.588223i | −0.937150 | − | 0.348927i | \(-0.886546\pi\) |
0.348927 | + | 0.937150i | \(0.386546\pi\) | |||||||
\(398\) | −1.70921 | + | 10.7915i | −0.0856751 | + | 0.540931i | ||||
\(399\) | 33.6907 | − | 10.9468i | 1.68665 | − | 0.548025i | ||||
\(400\) | −10.0654 | + | 11.4472i | −0.503272 | + | 0.572362i | ||||
\(401\) | 17.6827 | + | 12.8472i | 0.883032 | + | 0.641560i | 0.934052 | − | 0.357137i | \(-0.116247\pi\) |
−0.0510200 | + | 0.998698i | \(0.516247\pi\) | |||||||
\(402\) | 4.50327 | + | 28.4326i | 0.224603 | + | 1.41809i | ||||
\(403\) | 17.1791 | + | 33.7159i | 0.855752 | + | 1.67951i | ||||
\(404\) | 1.96690 | + | 6.05348i | 0.0978567 | + | 0.301172i | ||||
\(405\) | −9.95876 | − | 22.0177i | −0.494855 | − | 1.09407i | ||||
\(406\) | 12.9268i | 0.641548i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 1.46774 | + | 1.46774i | 0.0726641 | + | 0.0726641i | ||||
\(409\) | 16.3385 | − | 11.8706i | 0.807886 | − | 0.586963i | −0.105331 | − | 0.994437i | \(-0.533590\pi\) |
0.913217 | + | 0.407474i | \(0.133590\pi\) | |||||||
\(410\) | 4.28967 | − | 5.36159i | 0.211852 | − | 0.264790i | ||||
\(411\) | 1.37776 | − | 4.24031i | 0.0679600 | − | 0.209159i | ||||
\(412\) | −0.564229 | + | 0.0893651i | −0.0277976 | + | 0.00440270i | ||||
\(413\) | 2.97312 | − | 0.470896i | 0.146298 | − | 0.0231713i | ||||
\(414\) | 6.07956 | − | 18.7110i | 0.298794 | − | 0.919593i | ||||
\(415\) | 11.5959 | − | 14.4935i | 0.569221 | − | 0.711460i | ||||
\(416\) | −8.90770 | + | 6.47182i | −0.436736 | + | 0.317307i | ||||
\(417\) | 13.9238 | + | 13.9238i | 0.681851 | + | 0.681851i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 11.1391i | − | 0.544179i | −0.962272 | − | 0.272090i | \(-0.912285\pi\) | ||
0.962272 | − | 0.272090i | \(-0.0877148\pi\) | |||||||
\(420\) | −2.13023 | − | 4.70970i | −0.103945 | − | 0.229810i | ||||
\(421\) | 9.24113 | + | 28.4413i | 0.450385 | + | 1.38614i | 0.876469 | + | 0.481459i | \(0.159893\pi\) |
−0.426084 | + | 0.904684i | \(0.640107\pi\) | |||||||
\(422\) | −9.72089 | − | 19.0783i | −0.473206 | − | 0.928718i | ||||
\(423\) | −1.19652 | − | 7.55456i | −0.0581770 | − | 0.367315i | ||||
\(424\) | 21.5770 | + | 15.6766i | 1.04787 | + | 0.761322i | ||||
\(425\) | 1.50158 | − | 0.0964505i | 0.0728375 | − | 0.00467853i | ||||
\(426\) | 30.7707 | − | 9.99799i | 1.49084 | − | 0.484404i | ||||
\(427\) | 0.0372615 | − | 0.235260i | 0.00180321 | − | 0.0113850i | ||||
\(428\) | −3.13863 | + | 3.13863i | −0.151711 | + | 0.151711i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.16192 | − | 5.62929i | 0.0560327 | − | 0.271469i | ||||
\(431\) | 22.3851 | + | 30.8105i | 1.07825 | + | 1.48409i | 0.861428 | + | 0.507879i | \(0.169570\pi\) |
0.216826 | + | 0.976210i | \(0.430430\pi\) | |||||||
\(432\) | −5.15136 | − | 2.62475i | −0.247845 | − | 0.126283i | ||||
\(433\) | −3.41540 | + | 1.74023i | −0.164134 | + | 0.0836302i | −0.534127 | − | 0.845404i | \(-0.679360\pi\) |
0.369994 | + | 0.929034i | \(0.379360\pi\) | |||||||
\(434\) | −14.4822 | + | 19.9331i | −0.695168 | + | 0.956817i | ||||
\(435\) | 20.2267 | + | 0.940562i | 0.969794 | + | 0.0450965i | ||||
\(436\) | −6.13826 | − | 1.99444i | −0.293969 | − | 0.0955165i | ||||
\(437\) | −19.8134 | + | 38.8860i | −0.947804 | + | 1.86017i | ||||
\(438\) | 11.2799 | + | 1.78656i | 0.538975 | + | 0.0853652i | ||||
\(439\) | 17.8832 | 0.853518 | 0.426759 | − | 0.904365i | \(-0.359655\pi\) | ||||
0.426759 | + | 0.904365i | \(0.359655\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.938852 | 0.0447072 | ||||||||
\(442\) | −1.87522 | − | 0.297006i | −0.0891953 | − | 0.0141271i | ||||
\(443\) | 0.817427 | − | 1.60429i | 0.0388372 | − | 0.0762222i | −0.870773 | − | 0.491686i | \(-0.836381\pi\) |
0.909610 | + | 0.415464i | \(0.136381\pi\) | |||||||
\(444\) | −5.53651 | − | 1.79892i | −0.262751 | − | 0.0853730i | ||||
\(445\) | −3.84516 | − | 4.22021i | −0.182278 | − | 0.200057i | ||||
\(446\) | 5.60671 | − | 7.71697i | 0.265485 | − | 0.365409i | ||||
\(447\) | 17.2440 | − | 8.78628i | 0.815615 | − | 0.415577i | ||||
\(448\) | −20.3091 | − | 10.3480i | −0.959516 | − | 0.488898i | ||||
\(449\) | 8.51886 | + | 11.7252i | 0.402030 | + | 0.553347i | 0.961252 | − | 0.275671i | \(-0.0889000\pi\) |
−0.559222 | + | 0.829018i | \(0.688900\pi\) | |||||||
\(450\) | 12.7402 | − | 5.06357i | 0.600581 | − | 0.238699i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −0.539048 | + | 0.539048i | −0.0253547 | + | 0.0253547i | ||||
\(453\) | −2.45060 | + | 15.4725i | −0.115139 | + | 0.726960i | ||||
\(454\) | 7.07143 | − | 2.29765i | 0.331879 | − | 0.107834i | ||||
\(455\) | 24.8102 | + | 14.1299i | 1.16312 | + | 0.662421i | ||||
\(456\) | −33.9412 | − | 24.6597i | −1.58944 | − | 1.15480i | ||||
\(457\) | −6.02553 | − | 38.0437i | −0.281862 | − | 1.77961i | −0.569622 | − | 0.821907i | \(-0.692910\pi\) |
0.287759 | − | 0.957703i | \(-0.407090\pi\) | |||||||
\(458\) | 13.7814 | + | 27.0475i | 0.643962 | + | 1.26385i | ||||
\(459\) | 0.176357 | + | 0.542771i | 0.00823165 | + | 0.0253344i | ||||
\(460\) | 5.95861 | + | 2.24710i | 0.277822 | + | 0.104772i | ||||
\(461\) | 19.2825i | 0.898077i | 0.893512 | + | 0.449038i | \(0.148233\pi\) | ||||
−0.893512 | + | 0.449038i | \(0.851767\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.7252 | + | 13.7252i | 0.637863 | + | 0.637863i | 0.950028 | − | 0.312165i | \(-0.101054\pi\) |
−0.312165 | + | 0.950028i | \(0.601054\pi\) | |||||||
\(464\) | 9.82673 | − | 7.13954i | 0.456195 | − | 0.331445i | ||||
\(465\) | 30.1356 | + | 24.1107i | 1.39750 | + | 1.11811i | ||||
\(466\) | −5.63909 | + | 17.3553i | −0.261226 | + | 0.803970i | ||||
\(467\) | 35.9024 | − | 5.68638i | 1.66136 | − | 0.263134i | 0.746055 | − | 0.665884i | \(-0.231946\pi\) |
0.915310 | + | 0.402750i | \(0.131946\pi\) | |||||||
\(468\) | 4.23038 | − | 0.670026i | 0.195549 | − | 0.0309719i | ||||
\(469\) | −7.92148 | + | 24.3798i | −0.365780 | + | 1.12575i | ||||
\(470\) | −9.93832 | + | 1.10380i | −0.458420 | + | 0.0509146i | ||||
\(471\) | 10.0273 | − | 7.28527i | 0.462034 | − | 0.335688i | ||||
\(472\) | −2.52083 | − | 2.52083i | −0.116030 | − | 0.116030i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 6.78648i | 0.311713i | ||||||||
\(475\) | −29.6710 | + | 6.67317i | −1.36140 | + | 0.306186i | ||||
\(476\) | 0.0945849 | + | 0.291102i | 0.00433529 | + | 0.0133427i | ||||
\(477\) | −8.64023 | − | 16.9574i | −0.395609 | − | 0.776426i | ||||
\(478\) | −2.99431 | − | 18.9053i | −0.136957 | − | 0.864710i | ||||
\(479\) | 6.89014 | + | 5.00598i | 0.314819 | + | 0.228729i | 0.733961 | − | 0.679191i | \(-0.237669\pi\) |
−0.419143 | + | 0.907920i | \(0.637669\pi\) | |||||||
\(480\) | −5.55749 | + | 9.75820i | −0.253664 | + | 0.445399i | ||||
\(481\) | 30.5814 | − | 9.93649i | 1.39439 | − | 0.453065i | ||||
\(482\) | 0.619880 | − | 3.91377i | 0.0282348 | − | 0.178267i | ||||
\(483\) | 29.5492 | − | 29.5492i | 1.34454 | − | 1.34454i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9.25234 | + | 14.0652i | 0.420127 | + | 0.638669i | ||||
\(486\) | 14.0453 | + | 19.3317i | 0.637109 | + | 0.876906i | ||||
\(487\) | −3.88834 | − | 1.98121i | −0.176198 | − | 0.0897772i | 0.363667 | − | 0.931529i | \(-0.381525\pi\) |
−0.539865 | + | 0.841752i | \(0.681525\pi\) | |||||||
\(488\) | −0.251347 | + | 0.128068i | −0.0113780 | + | 0.00579736i | ||||
\(489\) | 2.99292 | − | 4.11941i | 0.135345 | − | 0.186286i | ||||
\(490\) | 0.0570134 | − | 1.22607i | 0.00257560 | − | 0.0553880i | ||||
\(491\) | 16.5595 | + | 5.38049i | 0.747318 | + | 0.242818i | 0.657827 | − | 0.753169i | \(-0.271476\pi\) |
0.0894911 | + | 0.995988i | \(0.471476\pi\) | |||||||
\(492\) | 0.993289 | − | 1.94944i | 0.0447809 | − | 0.0878875i | ||||
\(493\) | −1.18424 | − | 0.187566i | −0.0533357 | − | 0.00844755i | ||||
\(494\) | 38.3740 | 1.72653 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 23.1513 | 1.03953 | ||||||||
\(497\) | 28.4563 | + | 4.50703i | 1.27644 | + | 0.202168i | ||||
\(498\) | −10.8446 | + | 21.2836i | −0.485956 | + | 0.953743i | ||||
\(499\) | 7.51710 | + | 2.44245i | 0.336512 | + | 0.109339i | 0.472398 | − | 0.881385i | \(-0.343388\pi\) |
−0.135887 | + | 0.990724i | \(0.543388\pi\) | |||||||
\(500\) | 1.44570 | + | 4.19558i | 0.0646538 | + | 0.187632i | ||||
\(501\) | 11.2388 | − | 15.4689i | 0.502113 | − | 0.691099i | ||||
\(502\) | −6.99132 | + | 3.56226i | −0.312038 | + | 0.158991i | ||||
\(503\) | −33.6124 | − | 17.1264i | −1.49870 | − | 0.763628i | −0.503740 | − | 0.863855i | \(-0.668043\pi\) |
−0.994965 | + | 0.100227i | \(0.968043\pi\) | |||||||
\(504\) | 9.89904 | + | 13.6249i | 0.440938 | + | 0.606899i | ||||
\(505\) | −35.1176 | − | 7.24847i | −1.56271 | − | 0.322553i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −19.0109 | + | 19.0109i | −0.844302 | + | 0.844302i | ||||
\(508\) | 0.156486 | − | 0.988015i | 0.00694295 | − | 0.0438361i | ||||
\(509\) | −39.0282 | + | 12.6810i | −1.72989 | + | 0.562077i | −0.993434 | − | 0.114405i | \(-0.963504\pi\) |
−0.736460 | + | 0.676481i | \(0.763504\pi\) | |||||||
\(510\) | −1.86744 | + | 0.512191i | −0.0826916 | + | 0.0226802i | ||||
\(511\) | 8.22756 | + | 5.97767i | 0.363966 | + | 0.264437i | ||||
\(512\) | 3.94847 | + | 24.9296i | 0.174499 | + | 1.10174i | ||||
\(513\) | −5.23675 | − | 10.2777i | −0.231208 | − | 0.453772i | ||||
\(514\) | −0.529934 | − | 1.63097i | −0.0233744 | − | 0.0719390i | ||||
\(515\) | 1.13560 | − | 3.01124i | 0.0500403 | − | 0.132691i | ||||
\(516\) | − | 1.83152i | − | 0.0806280i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 14.8046 | + | 14.8046i | 0.650479 | + | 0.650479i | ||||
\(519\) | 25.3882 | − | 18.4456i | 1.11442 | − | 0.809672i | ||||
\(520\) | −3.73262 | − | 33.6074i | −0.163686 | − | 1.47378i | ||||
\(521\) | −10.9751 | + | 33.7779i | −0.480828 | + | 1.47984i | 0.357105 | + | 0.934064i | \(0.383764\pi\) |
−0.837933 | + | 0.545772i | \(0.816236\pi\) | |||||||
\(522\) | −10.7900 | + | 1.70897i | −0.472267 | + | 0.0747998i | ||||
\(523\) | −33.2608 | + | 5.26800i | −1.45439 | + | 0.230353i | −0.833056 | − | 0.553189i | \(-0.813411\pi\) |
−0.621339 | + | 0.783542i | \(0.713411\pi\) | |||||||
\(524\) | −1.69697 | + | 5.22273i | −0.0741324 | + | 0.228156i | ||||
\(525\) | 28.9947 | + | 2.70241i | 1.26543 | + | 0.117943i | ||||
\(526\) | 10.0991 | − | 7.33744i | 0.440343 | − | 0.319928i | ||||
\(527\) | −1.61596 | − | 1.61596i | −0.0703923 | − | 0.0703923i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 28.4836i | 1.23842i | ||||||||
\(530\) | −22.6697 | + | 10.2537i | −0.984710 | + | 0.445392i | ||||
\(531\) | 0.786116 | + | 2.41941i | 0.0341145 | + | 0.104994i | ||||
\(532\) | −2.80861 | − | 5.51220i | −0.121768 | − | 0.238984i | ||||
\(533\) | 1.89053 | + | 11.9363i | 0.0818878 | + | 0.517019i | ||||
\(534\) | 5.94414 | + | 4.31867i | 0.257228 | + | 0.186887i | ||||
\(535\) | −6.61417 | − | 24.1151i | −0.285955 | − | 1.04259i | ||||
\(536\) | 28.8732 | − | 9.38148i | 1.24713 | − | 0.405218i | ||||
\(537\) | −2.44948 | + | 15.4654i | −0.105703 | + | 0.667380i | ||||
\(538\) | 12.1343 | − | 12.1343i | 0.523145 | − | 0.523145i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.40618 | + | 0.925009i | −0.0605124 | + | 0.0398061i | ||||
\(541\) | 7.56741 | + | 10.4156i | 0.325348 | + | 0.447803i | 0.940091 | − | 0.340925i | \(-0.110740\pi\) |
−0.614742 | + | 0.788728i | \(0.710740\pi\) | |||||||
\(542\) | 6.08003 | + | 3.09793i | 0.261160 | + | 0.133068i | ||||
\(543\) | 47.1225 | − | 24.0101i | 2.02222 | − | 1.03037i | ||||
\(544\) | 0.390858 | − | 0.537969i | 0.0167579 | − | 0.0230652i | ||||
\(545\) | 26.8769 | − | 24.4884i | 1.15128 | − | 1.04897i | ||||
\(546\) | −34.9456 | − | 11.3545i | −1.49553 | − | 0.485928i | ||||
\(547\) | −9.83521 | + | 19.3027i | −0.420523 | + | 0.825323i | 0.579424 | + | 0.815026i | \(0.303278\pi\) |
−0.999947 | + | 0.0102966i | \(0.996722\pi\) | |||||||
\(548\) | −0.769045 | − | 0.121805i | −0.0328520 | − | 0.00520324i | ||||
\(549\) | 0.201298 | 0.00859119 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 24.2340 | 1.03241 | ||||||||
\(552\) | −48.8816 | − | 7.74209i | −2.08054 | − | 0.329525i | ||||
\(553\) | −2.74359 | + | 5.38460i | −0.116669 | + | 0.228976i | ||||
\(554\) | −34.3447 | − | 11.1593i | −1.45917 | − | 0.474112i | ||||
\(555\) | 24.2421 | − | 22.0877i | 1.02902 | − | 0.937571i | ||||
\(556\) | 2.02130 | − | 2.78208i | 0.0857223 | − | 0.117987i | ||||
\(557\) | −15.8706 | + | 8.08648i | −0.672459 | + | 0.342635i | −0.756655 | − | 0.653814i | \(-0.773168\pi\) |
0.0841961 | + | 0.996449i | \(0.473168\pi\) | |||||||
\(558\) | −18.5528 | − | 9.45310i | −0.785401 | − | 0.400182i | ||||
\(559\) | 5.94635 | + | 8.18445i | 0.251504 | + | 0.346166i | ||||
\(560\) | 14.5940 | − | 9.60016i | 0.616708 | − | 0.405681i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.2190 | − | 10.2190i | 0.431061 | − | 0.431061i | ||||
\(563\) | 4.39761 | − | 27.7654i | 0.185337 | − | 1.17017i | −0.703071 | − | 0.711120i | \(-0.748188\pi\) |
0.888408 | − | 0.459054i | \(-0.151812\pi\) | |||||||
\(564\) | −3.03025 | + | 0.984588i | −0.127597 | + | 0.0414586i | ||||
\(565\) | −1.13596 | − | 4.14168i | −0.0477901 | − | 0.174242i | ||||
\(566\) | −1.90305 | − | 1.38265i | −0.0799913 | − | 0.0581171i | ||||
\(567\) | 4.33214 | + | 27.3521i | 0.181933 | + | 1.14868i | ||||
\(568\) | −15.4907 | − | 30.4021i | −0.649974 | − | 1.27565i | ||||
\(569\) | −8.08585 | − | 24.8857i | −0.338977 | − | 1.04326i | −0.964730 | − | 0.263242i | \(-0.915208\pi\) |
0.625753 | − | 0.780021i | \(-0.284792\pi\) | |||||||
\(570\) | 35.6601 | − | 16.1293i | 1.49364 | − | 0.675584i | ||||
\(571\) | − | 27.6158i | − | 1.15568i | −0.816149 | − | 0.577842i | \(-0.803895\pi\) | ||
0.816149 | − | 0.577842i | \(-0.196105\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −12.1072 | − | 12.1072i | −0.505785 | − | 0.505785i | ||||
\(574\) | −6.36605 | + | 4.62521i | −0.265714 | + | 0.193052i | ||||
\(575\) | −27.6129 | + | 22.9045i | −1.15154 | + | 0.955184i | ||||
\(576\) | 5.95256 | − | 18.3201i | 0.248023 | − | 0.763337i | ||||
\(577\) | −29.2117 | + | 4.62667i | −1.21610 | + | 0.192611i | −0.731325 | − | 0.682029i | \(-0.761098\pi\) |
−0.484772 | + | 0.874640i | \(0.661098\pi\) | |||||||
\(578\) | −21.1459 | + | 3.34919i | −0.879555 | + | 0.139308i | ||||
\(579\) | 17.7477 | − | 54.6218i | 0.737570 | − | 2.27001i | ||||
\(580\) | −0.390346 | − | 3.51456i | −0.0162082 | − | 0.145934i | ||||
\(581\) | −17.2088 | + | 12.5029i | −0.713941 | + | 0.518709i | ||||
\(582\) | −15.3203 | − | 15.3203i | −0.635045 | − | 0.635045i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 12.0442i | − | 0.498393i | ||||||
\(585\) | −8.51427 | + | 22.5772i | −0.352022 | + | 0.933451i | ||||
\(586\) | 7.00440 | + | 21.5573i | 0.289349 | + | 0.890525i | ||||
\(587\) | −3.28137 | − | 6.44005i | −0.135437 | − | 0.265809i | 0.813320 | − | 0.581816i | \(-0.197658\pi\) |
−0.948757 | + | 0.316007i | \(0.897658\pi\) | |||||||
\(588\) | −0.0611805 | − | 0.386278i | −0.00252304 | − | 0.0159298i | ||||
\(589\) | 37.3687 | + | 27.1499i | 1.53975 | + | 1.11869i | ||||
\(590\) | 3.20730 | − | 0.879681i | 0.132043 | − | 0.0362159i | ||||
\(591\) | −31.6630 | + | 10.2879i | −1.30244 | + | 0.423189i | ||||
\(592\) | 3.07755 | − | 19.4309i | 0.126487 | − | 0.798605i | ||||
\(593\) | −7.89832 | + | 7.89832i | −0.324345 | + | 0.324345i | −0.850431 | − | 0.526086i | \(-0.823659\pi\) |
0.526086 | + | 0.850431i | \(0.323659\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.68875 | − | 0.348567i | −0.0692319 | − | 0.0142899i | ||||
\(596\) | −1.98663 | − | 2.73436i | −0.0813755 | − | 0.112004i | ||||
\(597\) | −17.4754 | − | 8.90415i | −0.715220 | − | 0.364423i | ||||
\(598\) | 40.3344 | − | 20.5514i | 1.64939 | − | 0.840408i | ||||
\(599\) | −9.60915 | + | 13.2259i | −0.392619 | + | 0.540394i | −0.958872 | − | 0.283837i | \(-0.908392\pi\) |
0.566253 | + | 0.824231i | \(0.308392\pi\) | |||||||
\(600\) | −17.5945 | − | 29.6617i | −0.718292 | − | 1.21094i | ||||
\(601\) | −30.9587 | − | 10.0591i | −1.26283 | − | 0.410318i | −0.400328 | − | 0.916372i | \(-0.631104\pi\) |
−0.862502 | + | 0.506054i | \(0.831104\pi\) | |||||||
\(602\) | −2.99048 | + | 5.86915i | −0.121883 | + | 0.239209i | ||||
\(603\) | −21.3971 | − | 3.38897i | −0.871358 | − | 0.138009i | ||||
\(604\) | 2.73577 | 0.111317 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 46.1463 | 1.87457 | ||||||||
\(607\) | −20.9027 | − | 3.31067i | −0.848416 | − | 0.134376i | −0.282937 | − | 0.959139i | \(-0.591309\pi\) |
−0.565479 | + | 0.824763i | \(0.691309\pi\) | |||||||
\(608\) | −6.10170 | + | 11.9753i | −0.247457 | + | 0.485661i | ||||
\(609\) | −22.0689 | − | 7.17062i | −0.894277 | − | 0.290568i | ||||
\(610\) | 0.0122242 | − | 0.262879i | 0.000494942 | − | 0.0106437i | ||||
\(611\) | 10.3446 | − | 14.2381i | 0.418496 | − | 0.576011i | ||||
\(612\) | −0.230479 | + | 0.117435i | −0.00931657 | + | 0.00474703i | ||||
\(613\) | 26.6932 | + | 13.6009i | 1.07813 | + | 0.549333i | 0.900541 | − | 0.434772i | \(-0.143171\pi\) |
0.177587 | + | 0.984105i | \(0.443171\pi\) | |||||||
\(614\) | −9.58476 | − | 13.1923i | −0.386809 | − | 0.532397i | ||||
\(615\) | 6.77388 | + | 10.2975i | 0.273149 | + | 0.415236i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.8977 | − | 16.8977i | 0.680276 | − | 0.680276i | −0.279786 | − | 0.960062i | \(-0.590264\pi\) |
0.960062 | + | 0.279786i | \(0.0902636\pi\) | |||||||
\(618\) | −0.647897 | + | 4.09066i | −0.0260622 | + | 0.164550i | ||||
\(619\) | −6.63527 | + | 2.15593i | −0.266694 | + | 0.0866541i | −0.439311 | − | 0.898335i | \(-0.644778\pi\) |
0.172617 | + | 0.984989i | \(0.444778\pi\) | |||||||
\(620\) | 3.33553 | − | 5.85673i | 0.133958 | − | 0.235212i | ||||
\(621\) | −11.0085 | − | 7.99816i | −0.441757 | − | 0.320955i | ||||
\(622\) | 3.73435 | + | 23.5777i | 0.149734 | + | 0.945381i | ||||
\(623\) | 2.97034 | + | 5.82962i | 0.119004 | + | 0.233559i | ||||
\(624\) | 10.6691 | + | 32.8361i | 0.427106 | + | 1.31450i | ||||
\(625\) | −24.5694 | − | 4.62005i | −0.982776 | − | 0.184802i | ||||
\(626\) | 12.1523i | 0.485702i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.53057 | − | 1.53057i | −0.0610762 | − | 0.0610762i | ||||
\(629\) | −1.57109 | + | 1.14146i | −0.0626434 | + | 0.0455131i | ||||
\(630\) | −15.6151 | + | 1.73429i | −0.622119 | + | 0.0690959i | ||||
\(631\) | 5.36729 | − | 16.5188i | 0.213668 | − | 0.657604i | −0.785577 | − | 0.618764i | \(-0.787634\pi\) |
0.999245 | − | 0.0388398i | \(-0.0123662\pi\) | |||||||
\(632\) | 7.06899 | − | 1.11962i | 0.281189 | − | 0.0445360i | ||||
\(633\) | 37.9631 | − | 6.01276i | 1.50890 | − | 0.238986i | ||||
\(634\) | −5.16411 | + | 15.8935i | −0.205093 | + | 0.631212i | ||||
\(635\) | 4.40039 | + | 3.52064i | 0.174624 | + | 0.139712i | ||||
\(636\) | −6.41386 | + | 4.65994i | −0.254326 | + | 0.184779i | ||||
\(637\) | 1.52752 | + | 1.52752i | 0.0605225 | + | 0.0605225i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 24.3483i | 0.963206i | ||||||||
\(640\) | −14.3168 | − | 5.39915i | −0.565923 | − | 0.213420i | ||||
\(641\) | −8.61628 | − | 26.5182i | −0.340323 | − | 1.04741i | −0.964040 | − | 0.265756i | \(-0.914379\pi\) |
0.623718 | − | 0.781650i | \(-0.285621\pi\) | |||||||
\(642\) | 14.6096 | + | 28.6730i | 0.576597 | + | 1.13163i | ||||
\(643\) | 2.61150 | + | 16.4884i | 0.102988 | + | 0.650238i | 0.984138 | + | 0.177403i | \(0.0567695\pi\) |
−0.881151 | + | 0.472836i | \(0.843230\pi\) | |||||||
\(644\) | −5.90416 | − | 4.28962i | −0.232657 | − | 0.169035i | ||||
\(645\) | 8.96589 | + | 5.10626i | 0.353032 | + | 0.201059i | ||||
\(646\) | −2.20412 | + | 0.716163i | −0.0867200 | + | 0.0281771i | ||||
\(647\) | −3.10713 | + | 19.6176i | −0.122154 | + | 0.771249i | 0.848221 | + | 0.529643i | \(0.177674\pi\) |
−0.970374 | + | 0.241606i | \(0.922326\pi\) | |||||||
\(648\) | 23.1911 | − | 23.1911i | 0.911031 | − | 0.911031i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 28.9669 | + | 12.4900i | 1.13618 | + | 0.489898i | ||||
\(651\) | −25.9966 | − | 35.7813i | −1.01889 | − | 1.40238i | ||||
\(652\) | −0.792315 | − | 0.403705i | −0.0310294 | − | 0.0158103i | ||||
\(653\) | 33.0414 | − | 16.8354i | 1.29301 | − | 0.658821i | 0.334101 | − | 0.942537i | \(-0.391567\pi\) |
0.958908 | + | 0.283716i | \(0.0915673\pi\) | |||||||
\(654\) | −27.5040 | + | 37.8560i | −1.07549 | + | 1.48029i | ||||
\(655\) | −20.8359 | − | 22.8682i | −0.814126 | − | 0.893534i | ||||
\(656\) | 7.03199 | + | 2.28483i | 0.274553 | + | 0.0892078i | ||||
\(657\) | −3.90186 | + | 7.65783i | −0.152226 | + | 0.298760i | ||||
\(658\) | 11.3182 | + | 1.79262i | 0.441228 | + | 0.0698836i | ||||
\(659\) | −25.1740 | −0.980641 | −0.490320 | − | 0.871542i | \(-0.663120\pi\) | ||||
−0.490320 | + | 0.871542i | \(0.663120\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −25.7739 | −1.00249 | −0.501244 | − | 0.865306i | \(-0.667124\pi\) | ||||
−0.501244 | + | 0.865306i | \(0.667124\pi\) | |||||||
\(662\) | 15.8825 | + | 2.51555i | 0.617292 | + | 0.0977694i | ||||
\(663\) | 1.54726 | − | 3.03666i | 0.0600904 | − | 0.117934i | ||||
\(664\) | 23.9588 | + | 7.78467i | 0.929780 | + | 0.302104i | ||||
\(665\) | 34.8145 | + | 1.61891i | 1.35005 | + | 0.0627787i | ||||
\(666\) | −10.4002 | + | 14.3147i | −0.403001 | + | 0.554683i | ||||
\(667\) | 25.4720 | − | 12.9786i | 0.986281 | − | 0.502535i | ||||
\(668\) | −2.97524 | − | 1.51596i | −0.115116 | − | 0.0586543i | ||||
\(669\) | 10.0644 | + | 13.8525i | 0.389114 | + | 0.535569i | ||||
\(670\) | −5.72510 | + | 27.7371i | −0.221180 | + | 1.07158i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 9.09992 | − | 9.09992i | 0.351037 | − | 0.351037i | ||||
\(673\) | −3.53962 | + | 22.3483i | −0.136442 | + | 0.861464i | 0.820597 | + | 0.571507i | \(0.193641\pi\) |
−0.957040 | + | 0.289957i | \(0.906359\pi\) | |||||||
\(674\) | −18.7995 | + | 6.10832i | −0.724129 | + | 0.235284i | ||||
\(675\) | −0.607810 | − | 9.46266i | −0.0233946 | − | 0.364218i | ||||
\(676\) | 3.79852 | + | 2.75979i | 0.146097 | + | 0.106146i | ||||
\(677\) | −4.38246 | − | 27.6698i | −0.168432 | − | 1.06344i | −0.916565 | − | 0.399887i | \(-0.869050\pi\) |
0.748133 | − | 0.663549i | \(-0.230950\pi\) | |||||||
\(678\) | 2.50915 | + | 4.92449i | 0.0963634 | + | 0.189124i | ||||
\(679\) | −5.96199 | − | 18.3491i | −0.228800 | − | 0.704174i | ||||
\(680\) | 0.841599 | + | 1.86068i | 0.0322738 | + | 0.0713538i | ||||
\(681\) | 13.3470i | 0.511458i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −27.8670 | − | 27.8670i | −1.06630 | − | 1.06630i | −0.997640 | − | 0.0686610i | \(-0.978127\pi\) |
−0.0686610 | − | 0.997640i | \(-0.521873\pi\) | |||||||
\(684\) | 4.22973 | − | 3.07308i | 0.161728 | − | 0.117502i | ||||
\(685\) | 2.74037 | − | 3.42514i | 0.104704 | − | 0.130868i | ||||
\(686\) | −7.45283 | + | 22.9375i | −0.284551 | + | 0.875756i | ||||
\(687\) | −53.8206 | + | 8.52434i | −2.05338 | + | 0.325224i | ||||
\(688\) | 6.11327 | − | 0.968248i | 0.233066 | − | 0.0369141i | ||||
\(689\) | 13.5321 | − | 41.6475i | 0.515532 | − | 1.58665i | ||||
\(690\) | 28.8437 | − | 36.0512i | 1.09806 | − | 1.37245i | ||||
\(691\) | 37.8254 | − | 27.4817i | 1.43895 | − | 1.04545i | 0.450683 | − | 0.892684i | \(-0.351180\pi\) |
0.988262 | − | 0.152771i | \(-0.0488197\pi\) | |||||||
\(692\) | −3.87524 | − | 3.87524i | −0.147315 | − | 0.147315i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 3.02314i | − | 0.114757i | ||||||
\(695\) | 7.98386 | + | 17.6514i | 0.302845 | + | 0.669556i | ||||
\(696\) | 8.49223 | + | 26.1364i | 0.321897 | + | 0.990697i | ||||
\(697\) | −0.331351 | − | 0.650314i | −0.0125508 | − | 0.0246324i | ||||
\(698\) | −6.99325 | − | 44.1536i | −0.264698 | − | 1.67124i | ||||
\(699\) | −26.5013 | − | 19.2543i | −1.00237 | − | 0.728264i | ||||
\(700\) | −0.325984 | − | 5.07507i | −0.0123211 | − | 0.191820i | ||||
\(701\) | −21.8504 | + | 7.09961i | −0.825277 | + | 0.268149i | −0.691055 | − | 0.722803i | \(-0.742854\pi\) |
−0.134222 | + | 0.990951i | \(0.542854\pi\) | |||||||
\(702\) | −1.87167 | + | 11.8173i | −0.0706416 | + | 0.446014i | ||||
\(703\) | 27.7544 | − | 27.7544i | 1.04678 | − | 1.04678i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.62844 | − | 17.5791i | 0.136655 | − | 0.662069i | ||||
\(706\) | 0.0547837 | + | 0.0754033i | 0.00206181 | + | 0.00283784i | ||||
\(707\) | 36.6139 | + | 18.6557i | 1.37701 | + | 0.701620i | ||||
\(708\) | 0.944209 | − | 0.481098i | 0.0354855 | − | 0.0180808i | ||||
\(709\) | −6.42747 | + | 8.84666i | −0.241389 | + | 0.332243i | −0.912472 | − | 0.409139i | \(-0.865829\pi\) |
0.671083 | + | 0.741382i | \(0.265829\pi\) | |||||||
\(710\) | 31.7970 | + | 1.47860i | 1.19332 | + | 0.0554907i | ||||
\(711\) | −4.85725 | − | 1.57821i | −0.182161 | − | 0.0591877i | ||||
\(712\) | 3.51780 | − | 6.90407i | 0.131835 | − | 0.258741i | ||||
\(713\) | 53.8179 | + | 8.52392i | 2.01550 | + | 0.319223i | ||||
\(714\) | 2.21910 | 0.0830479 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.73452 | 0.102194 | ||||||||
\(717\) | 33.9365 | + | 5.37501i | 1.26738 | + | 0.200733i | ||||
\(718\) | 9.32551 | − | 18.3023i | 0.348025 | − | 0.683038i | ||||
\(719\) | −43.5254 | − | 14.1423i | −1.62322 | − | 0.527417i | −0.650524 | − | 0.759485i | \(-0.725451\pi\) |
−0.972700 | + | 0.232068i | \(0.925451\pi\) | |||||||
\(720\) | 9.94265 | + | 10.9124i | 0.370541 | + | 0.406682i | ||||
\(721\) | −2.16780 | + | 2.98372i | −0.0807332 | + | 0.111120i | ||||
\(722\) | 20.3019 | − | 10.3443i | 0.755559 | − | 0.384977i | ||||
\(723\) | 6.33780 | + | 3.22927i | 0.235705 | + | 0.120098i | ||||
\(724\) | −5.42883 | − | 7.47214i | −0.201761 | − | 0.277700i | ||||
\(725\) | 18.2932 | + | 7.88770i | 0.679394 | + | 0.292942i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −36.0611 | + | 36.0611i | −1.33743 | + | 1.33743i | −0.438893 | + | 0.898539i | \(0.644629\pi\) |
−0.898539 | + | 0.438893i | \(0.855371\pi\) | |||||||
\(728\) | −6.06193 | + | 38.2735i | −0.224670 | + | 1.41851i | ||||
\(729\) | −9.96037 | + | 3.23632i | −0.368903 | + | 0.119864i | ||||
\(730\) | 9.76357 | + | 5.56055i | 0.361366 | + | 0.205805i | ||||
\(731\) | −0.494290 | − | 0.359123i | −0.0182820 | − | 0.0132826i | ||||
\(732\) | −0.0131176 | − | 0.0828213i | −0.000484841 | − | 0.00306117i | ||||
\(733\) | −1.80175 | − | 3.53613i | −0.0665491 | − | 0.130610i | 0.855336 | − | 0.518074i | \(-0.173351\pi\) |
−0.921885 | + | 0.387464i | \(0.873351\pi\) | |||||||
\(734\) | −5.14564 | − | 15.8366i | −0.189929 | − | 0.584541i | ||||
\(735\) | 2.06153 | + | 0.777443i | 0.0760408 | + | 0.0286764i | ||||
\(736\) | 15.8548i | 0.584416i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −4.70228 | − | 4.70228i | −0.173093 | − | 0.173093i | ||||
\(739\) | 1.27220 | − | 0.924310i | 0.0467988 | − | 0.0340013i | −0.564140 | − | 0.825679i | \(-0.690792\pi\) |
0.610939 | + | 0.791678i | \(0.290792\pi\) | |||||||
\(740\) | −4.47215 | − | 3.57805i | −0.164400 | − | 0.131532i | ||||
\(741\) | −21.2864 | + | 65.5128i | −0.781975 | + | 2.40667i | ||||
\(742\) | 28.1621 | − | 4.46044i | 1.03386 | − | 0.163748i | ||||
\(743\) | −42.1322 | + | 6.67308i | −1.54568 | + | 0.244812i | −0.870249 | − | 0.492612i | \(-0.836042\pi\) |
−0.675431 | + | 0.737423i | \(0.736042\pi\) | |||||||
\(744\) | −16.1862 | + | 49.8161i | −0.593416 | + | 1.82635i | ||||
\(745\) | 18.9243 | − | 2.10184i | 0.693334 | − | 0.0770054i | ||||
\(746\) | −27.2343 | + | 19.7869i | −0.997120 | + | 0.724450i | ||||
\(747\) | −12.7113 | − | 12.7113i | −0.465081 | − | 0.465081i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 28.6563i | 1.04708i | ||||||||
\(750\) | 32.1681 | − | 0.568687i | 1.17461 | − | 0.0207655i | ||||
\(751\) | 12.1618 | + | 37.4301i | 0.443789 | + | 1.36584i | 0.883806 | + | 0.467853i | \(0.154972\pi\) |
−0.440017 | + | 0.897989i | \(0.645028\pi\) | |||||||
\(752\) | −4.88835 | − | 9.59393i | −0.178260 | − | 0.349855i | ||||
\(753\) | −2.20340 | − | 13.9117i | −0.0802963 | − | 0.506971i | ||||
\(754\) | −20.3360 | − | 14.7750i | −0.740593 | − | 0.538072i | ||||
\(755\) | −7.62732 | + | 13.3925i | −0.277587 | + | 0.487404i | ||||
\(756\) | 1.83447 | − | 0.596054i | 0.0667189 | − | 0.0216783i | ||||
\(757\) | −2.40077 | + | 15.1579i | −0.0872575 | + | 0.550922i | 0.904870 | + | 0.425688i | \(0.139968\pi\) |
−0.992127 | + | 0.125234i | \(0.960032\pi\) | |||||||
\(758\) | −12.1038 | + | 12.1038i | −0.439631 | + | 0.439631i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −22.6839 | − | 34.4836i | −0.822832 | − | 1.25085i | ||||
\(761\) | −2.34728 | − | 3.23075i | −0.0850888 | − | 0.117115i | 0.764351 | − | 0.644801i | \(-0.223060\pi\) |
−0.849439 | + | 0.527686i | \(0.823060\pi\) | |||||||
\(762\) | −6.46193 | − | 3.29252i | −0.234091 | − | 0.119275i | ||||
\(763\) | −37.1267 | + | 18.9170i | −1.34408 | + | 0.684841i | ||||
\(764\) | −1.75759 | + | 2.41911i | −0.0635872 | + | 0.0875203i | ||||
\(765\) | 0.0676908 | − | 1.45568i | 0.00244737 | − | 0.0526303i | ||||
\(766\) | 21.9911 | + | 7.14535i | 0.794571 | + | 0.258172i | ||||
\(767\) | −2.65739 | + | 5.21542i | −0.0959528 | + | 0.188318i | ||||
\(768\) | −20.4862 | − | 3.24469i | −0.739231 | − | 0.117083i | ||||
\(769\) | −43.6566 | −1.57430 | −0.787148 | − | 0.616764i | \(-0.788443\pi\) | ||||
−0.787148 | + | 0.616764i | \(0.788443\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.07838 | 0.110865 | ||||||||
\(772\) | −9.90649 | − | 1.56903i | −0.356542 | − | 0.0564708i | ||||
\(773\) | 2.28464 | − | 4.48387i | 0.0821730 | − | 0.161274i | −0.846264 | − | 0.532764i | \(-0.821153\pi\) |
0.928437 | + | 0.371491i | \(0.121153\pi\) | |||||||
\(774\) | −5.29434 | − | 1.72024i | −0.190301 | − | 0.0618326i | ||||
\(775\) | 19.3713 | + | 32.6571i | 0.695836 | + | 1.17308i | ||||
\(776\) | −13.4305 | + | 18.4855i | −0.482127 | + | 0.663591i | ||||
\(777\) | −33.4870 | + | 17.0625i | −1.20134 | + | 0.612113i | ||||
\(778\) | −19.9316 | − | 10.1556i | −0.714581 | − | 0.364097i | ||||
\(779\) | 8.67092 | + | 11.9345i | 0.310668 | + | 0.427598i | ||||
\(780\) | 9.84390 | + | 2.03184i | 0.352468 | + | 0.0727515i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −1.93317 | + | 1.93317i | −0.0691302 | + | 0.0691302i | ||||
\(783\) | −1.18200 | + | 7.46286i | −0.0422412 | + | 0.266701i | ||||
\(784\) | 1.25698 | − | 0.408419i | 0.0448923 | − | 0.0145864i | ||||
\(785\) | 11.7599 | − | 3.22543i | 0.419727 | − | 0.115120i | ||||
\(786\) | 32.2097 | + | 23.4017i | 1.14888 | + | 0.834712i | ||||
\(787\) | 6.63165 | + | 41.8706i | 0.236393 | + | 1.49253i | 0.765205 | + | 0.643787i | \(0.222638\pi\) |
−0.528812 | + | 0.848739i | \(0.677362\pi\) | |||||||
\(788\) | 2.63956 | + | 5.18043i | 0.0940305 | + | 0.184545i | ||||
\(789\) | 6.92453 | + | 21.3115i | 0.246520 | + | 0.758710i | ||||
\(790\) | −2.35599 | + | 6.24734i | −0.0838223 | + | 0.222270i | ||||
\(791\) | 4.92162i | 0.174993i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.327513 | + | 0.327513i | 0.0116303 | + | 0.0116303i | ||||
\(794\) | 16.9781 | − | 12.3353i | 0.602529 | − | 0.437763i | ||||
\(795\) | −4.93018 | − | 44.3899i | −0.174856 | − | 1.57435i | ||||
\(796\) | −1.05844 | + | 3.25756i | −0.0375156 | + | 0.115461i | ||||
\(797\) | −45.1079 | + | 7.14438i | −1.59780 | + | 0.253067i | −0.890885 | − | 0.454229i | \(-0.849915\pi\) |
−0.706918 | + | 0.707296i | \(0.749915\pi\) | |||||||
\(798\) | −44.2998 | + | 7.01640i | −1.56820 | + | 0.248378i | ||||
\(799\) | −0.328449 | + | 1.01086i | −0.0116197 | + | 0.0357617i | ||||
\(800\) | −8.50363 | + | 7.05363i | −0.300649 | + | 0.249384i | ||||
\(801\) | −4.47330 | + | 3.25004i | −0.158056 | + | 0.114835i | ||||
\(802\) | −19.5683 | − | 19.5683i | −0.690982 | − | 0.690982i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 9.02440i | 0.318266i | ||||||||
\(805\) | 37.4600 | − | 16.9434i | 1.32029 | − | 0.597177i | ||||
\(806\) | −14.8052 | − | 45.5657i | −0.521491 | − | 1.60498i | ||||
\(807\) | 13.9848 | + | 27.4468i | 0.492289 | + | 0.966172i | ||||
\(808\) | −7.61312 | − | 48.0673i | −0.267828 | − | 1.69100i | ||||
\(809\) | 25.7494 | + | 18.7081i | 0.905302 | + | 0.657740i | 0.939822 | − | 0.341664i | \(-0.110990\pi\) |
−0.0345205 | + | 0.999404i | \(0.510990\pi\) | |||||||
\(810\) | 8.09288 | + | 29.5065i | 0.284355 | + | 1.03675i | ||||
\(811\) | −30.1488 | + | 9.79593i | −1.05867 | + | 0.343982i | −0.786064 | − | 0.618145i | \(-0.787884\pi\) |
−0.272603 | + | 0.962127i | \(0.587884\pi\) | |||||||
\(812\) | −0.633938 | + | 4.00252i | −0.0222468 | + | 0.140461i | ||||
\(813\) | −8.66148 | + | 8.66148i | −0.303772 | + | 0.303772i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 4.18524 | − | 2.75312i | 0.146603 | − | 0.0964377i | ||||
\(816\) | −1.22562 | − | 1.68692i | −0.0429053 | − | 0.0590541i | ||||
\(817\) | 11.0030 | + | 5.60628i | 0.384945 | + | 0.196139i | ||||
\(818\) | −22.7831 | + | 11.6086i | −0.796592 | + | 0.405884i | ||||
\(819\) | 16.2534 | − | 22.3709i | 0.567939 | − | 0.781701i | ||||
\(820\) | 1.59114 | − | 1.44974i | 0.0555651 | − | 0.0506271i | ||||
\(821\) | 29.5072 | + | 9.58747i | 1.02981 | + | 0.334605i | 0.774714 | − | 0.632311i | \(-0.217894\pi\) |
0.255094 | + | 0.966916i | \(0.417894\pi\) | |||||||
\(822\) | −2.56281 | + | 5.02980i | −0.0893883 | + | 0.175434i | ||||
\(823\) | −39.6889 | − | 6.28610i | −1.38347 | − | 0.219120i | −0.580071 | − | 0.814566i | \(-0.696975\pi\) |
−0.803395 | + | 0.595446i | \(0.796975\pi\) | |||||||
\(824\) | 4.36783 | 0.152161 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.81128 | −0.132611 | ||||||||
\(827\) | −2.77897 | − | 0.440146i | −0.0966344 | − | 0.0153054i | 0.107930 | − | 0.994158i | \(-0.465578\pi\) |
−0.204564 | + | 0.978853i | \(0.565578\pi\) | |||||||
\(828\) | 2.80000 | − | 5.49532i | 0.0973069 | − | 0.190975i | ||||
\(829\) | −26.5360 | − | 8.62206i | −0.921633 | − | 0.299457i | −0.190496 | − | 0.981688i | \(-0.561010\pi\) |
−0.731136 | + | 0.682231i | \(0.761010\pi\) | |||||||
\(830\) | −17.3718 | + | 15.8280i | −0.602985 | + | 0.549398i | ||||
\(831\) | 38.1026 | − | 52.4437i | 1.32176 | − | 1.81925i | ||||
\(832\) | 39.4918 | − | 20.1221i | 1.36913 | − | 0.697607i | ||||
\(833\) | −0.116245 | − | 0.0592298i | −0.00402765 | − | 0.00205219i | ||||
\(834\) | −14.6544 | − | 20.1701i | −0.507442 | − | 0.698433i | ||||
\(835\) | 15.7161 | − | 10.3383i | 0.543878 | − | 0.357772i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.1834 | + | 10.1834i | −0.351991 | + | 0.351991i | ||||
\(838\) | −2.20627 | + | 13.9299i | −0.0762145 | + | 0.481199i | ||||
\(839\) | 41.0512 | − | 13.3384i | 1.41725 | − | 0.460491i | 0.502520 | − | 0.864566i | \(-0.332406\pi\) |
0.914726 | + | 0.404075i | \(0.132406\pi\) | |||||||
\(840\) | 10.4539 | + | 38.1147i | 0.360693 | + | 1.31508i | ||||
\(841\) | 10.6189 | + | 7.71506i | 0.366168 | + | 0.266037i | ||||
\(842\) | −5.92315 | − | 37.3973i | −0.204125 | − | 1.28880i | ||||
\(843\) | 11.7774 | + | 23.1145i | 0.405637 | + | 0.796107i | ||||
\(844\) | −2.07426 | − | 6.38393i | −0.0713991 | − | 0.219744i | ||||
\(845\) | −24.1004 | + | 10.9008i | −0.829078 | + | 0.374998i | ||||
\(846\) | 9.68428i | 0.332952i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −18.9448 | − | 18.9448i | −0.650567 | − | 0.650567i | ||||
\(849\) | 3.41612 | − | 2.48196i | 0.117241 | − | 0.0851805i | ||||
\(850\) | −1.89690 | − | 0.176798i | −0.0650630 | − | 0.00606411i | ||||
\(851\) | 14.3082 | − | 44.0362i | 0.490480 | − | 1.50954i | ||||
\(852\) | 10.0178 | − | 1.58666i | 0.343204 | − | 0.0543582i | ||||
\(853\) | −6.48289 | + | 1.02679i | −0.221970 | + | 0.0351566i | −0.266429 | − | 0.963855i | \(-0.585844\pi\) |
0.0444587 | + | 0.999011i | \(0.485844\pi\) | |||||||
\(854\) | −0.0931941 | + | 0.286822i | −0.00318904 | + | 0.00981484i | ||||
\(855\) | 3.25130 | + | 29.2737i | 0.111192 | + | 1.00114i | ||||
\(856\) | 27.4564 | − | 19.9482i | 0.938440 | − | 0.681817i | ||||
\(857\) | 16.3855 | + | 16.3855i | 0.559717 | + | 0.559717i | 0.929227 | − | 0.369510i | \(-0.120474\pi\) |
−0.369510 | + | 0.929227i | \(0.620474\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 44.6723i | − | 1.52420i | −0.647461 | − | 0.762099i | \(-0.724169\pi\) | ||
0.647461 | − | 0.762099i | \(-0.275831\pi\) | |||||||
\(860\) | 0.635827 | − | 1.68601i | 0.0216815 | − | 0.0574926i | ||||
\(861\) | −4.36493 | − | 13.4339i | −0.148756 | − | 0.457825i | ||||
\(862\) | −21.8910 | − | 42.9635i | −0.745611 | − | 1.46334i | ||||
\(863\) | 1.86588 | + | 11.7807i | 0.0635152 | + | 0.401019i | 0.998879 | + | 0.0473326i | \(0.0150721\pi\) |
−0.935364 | + | 0.353687i | \(0.884928\pi\) | |||||||
\(864\) | −3.39017 | − | 2.46310i | −0.115336 | − | 0.0837964i | ||||
\(865\) | 29.7748 | − | 8.16647i | 1.01237 | − | 0.277668i | ||||
\(866\) | 4.61578 | − | 1.49976i | 0.156850 | − | 0.0509638i | ||||
\(867\) | 6.01204 | − | 37.9585i | 0.204180 | − | 1.28914i | ||||
\(868\) | −5.46164 | + | 5.46164i | −0.185380 | + | 0.185380i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −25.1080 | − | 5.18243i | −0.851240 | − | 0.175701i | ||||
\(871\) | −29.2994 | − | 40.3271i | −0.992771 | − | 1.36643i | ||||
\(872\) | 43.9694 | + | 22.4036i | 1.48899 | + | 0.758680i | ||||
\(873\) | 14.5278 | − | 7.40230i | 0.491693 | − | 0.250530i | ||||
\(874\) | 32.4795 | − | 44.7042i | 1.09863 | − | 1.51214i | ||||
\(875\) | 25.7530 | + | 12.5535i | 0.870612 | + | 0.424385i | ||||
\(876\) | 3.40498 | + | 1.10634i | 0.115043 | + | 0.0373799i | ||||
\(877\) | −7.23153 | + | 14.1927i | −0.244191 | + | 0.479253i | −0.980275 | − | 0.197638i | \(-0.936673\pi\) |
0.736084 | + | 0.676891i | \(0.236673\pi\) | |||||||
\(878\) | −22.3637 | − | 3.54206i | −0.754737 | − | 0.119539i | ||||
\(879\) | −40.6884 | −1.37239 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −35.9869 | −1.21243 | −0.606214 | − | 0.795301i | \(-0.707313\pi\) | ||||
−0.606214 | + | 0.795301i | \(0.707313\pi\) | |||||||
\(882\) | −1.17407 | − | 0.185955i | −0.0395331 | − | 0.00626143i | ||||
\(883\) | 7.38117 | − | 14.4864i | 0.248396 | − | 0.487505i | −0.732818 | − | 0.680424i | \(-0.761796\pi\) |
0.981215 | + | 0.192919i | \(0.0617955\pi\) | |||||||
\(884\) | −0.566059 | − | 0.183924i | −0.0190386 | − | 0.00618602i | ||||
\(885\) | −0.277310 | + | 5.96352i | −0.00932169 | + | 0.200462i | ||||
\(886\) | −1.33998 | + | 1.84433i | −0.0450176 | + | 0.0619614i | ||||
\(887\) | −27.7666 | + | 14.1478i | −0.932310 | + | 0.475036i | −0.853056 | − | 0.521819i | \(-0.825254\pi\) |
−0.0792538 | + | 0.996854i | \(0.525254\pi\) | |||||||
\(888\) | 39.6590 | + | 20.2072i | 1.33087 | + | 0.678111i | ||||
\(889\) | −3.79602 | − | 5.22477i | −0.127314 | − | 0.175233i | ||||
\(890\) | 3.97265 | + | 6.03914i | 0.133163 | + | 0.202432i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.11444 | − | 2.11444i | 0.0707968 | − | 0.0707968i | ||||
\(893\) | 3.36064 | − | 21.2183i | 0.112460 | − | 0.710042i | ||||
\(894\) | −23.3046 | + | 7.57214i | −0.779424 | + | 0.253250i | ||||
\(895\) | −7.62382 | + | 13.3864i | −0.254836 | + | 0.447458i | ||||
\(896\) | 14.1860 | + | 10.3067i | 0.473921 | + | 0.344324i | ||||
\(897\) | 12.7119 | + | 80.2595i | 0.424436 | + | 2.67979i | ||||
\(898\) | −8.33082 | − | 16.3502i | −0.278003 | − | 0.545612i | ||||
\(899\) | −9.34981 | − | 28.7757i | −0.311833 | − | 0.959725i | ||||
\(900\) | 4.19307 | − | 0.943043i | 0.139769 | − | 0.0314348i | ||||
\(901\) | 2.64469i | 0.0881074i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −8.36106 | − | 8.36106i | −0.278239 | − | 0.278239i | ||||
\(904\) | 4.71553 | − | 3.42603i | 0.156836 | − | 0.113948i | ||||
\(905\) | 51.7142 | − | 5.74366i | 1.71904 | − | 0.190926i | ||||
\(906\) | 6.12915 | − | 18.8636i | 0.203627 | − | 0.626700i | ||||
\(907\) | 34.2037 | − | 5.41733i | 1.13571 | − | 0.179879i | 0.439862 | − | 0.898065i | \(-0.355027\pi\) |
0.695851 | + | 0.718186i | \(0.255027\pi\) | |||||||
\(908\) | 2.30220 | − | 0.364633i | 0.0764012 | − | 0.0121008i | ||||
\(909\) | −10.7315 | + | 33.0280i | −0.355940 | + | 1.09547i | ||||
\(910\) | −28.2275 | − | 22.5841i | −0.935734 | − | 0.748656i | ||||
\(911\) | 24.8232 | − | 18.0351i | 0.822428 | − | 0.597529i | −0.0949790 | − | 0.995479i | \(-0.530278\pi\) |
0.917407 | + | 0.397950i | \(0.130278\pi\) | |||||||
\(912\) | 29.8007 | + | 29.8007i | 0.986800 | + | 0.986800i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 48.7687i | 1.61312i | ||||||||
\(915\) | 0.442011 | + | 0.166690i | 0.0146124 | + | 0.00551062i | ||||
\(916\) | 2.94070 | + | 9.05054i | 0.0971635 | + | 0.299038i | ||||
\(917\) | 16.0955 | + | 31.5891i | 0.531519 | + | 1.04317i | ||||
\(918\) | −0.113037 | − | 0.713688i | −0.00373078 | − | 0.0235552i | ||||
\(919\) | 21.6741 | + | 15.7472i | 0.714963 | + | 0.519451i | 0.884771 | − | 0.466026i | \(-0.154315\pi\) |
−0.169808 | + | 0.985477i | \(0.554315\pi\) | |||||||
\(920\) | −42.3105 | − | 24.0967i | −1.39494 | − | 0.794445i | ||||
\(921\) | 27.8388 | − | 9.04538i | 0.917321 | − | 0.298056i | ||||
\(922\) | 3.81922 | − | 24.1136i | 0.125779 | − | 0.794139i | ||||
\(923\) | −39.6149 | + | 39.6149i | −1.30394 | + | 1.30394i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 29.9841 | − | 11.9171i | 0.985872 | − | 0.391832i | ||||
\(926\) | −14.4454 | − | 19.8824i | −0.474706 | − | 0.653376i | ||||
\(927\) | −2.77711 | − | 1.41501i | −0.0912123 | − | 0.0464750i | ||||
\(928\) | 7.84432 | − | 3.99688i | 0.257502 | − | 0.131204i | ||||
\(929\) | 14.9610 | − | 20.5921i | 0.490856 | − | 0.675605i | −0.489690 | − | 0.871897i | \(-0.662890\pi\) |
0.980546 | + | 0.196292i | \(0.0628899\pi\) | |||||||
\(930\) | −32.9103 | − | 36.1203i | −1.07917 | − | 1.18443i | ||||
\(931\) | 2.50787 | + | 0.814855i | 0.0821920 | + | 0.0267058i | ||||
\(932\) | −2.59714 | + | 5.09718i | −0.0850722 | + | 0.166964i | ||||
\(933\) | −42.3238 | − | 6.70342i | −1.38562 | − | 0.219460i | ||||
\(934\) | −46.0237 | −1.50594 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −32.7484 | −1.07041 | ||||||||
\(937\) | −39.0588 | − | 6.18631i | −1.27600 | − | 0.202098i | −0.518579 | − | 0.855029i | \(-0.673539\pi\) |
−0.757417 | + | 0.652931i | \(0.773539\pi\) | |||||||
\(938\) | 14.7349 | − | 28.9190i | 0.481113 | − | 0.944238i | ||||
\(939\) | −20.7466 | − | 6.74096i | −0.677038 | − | 0.219983i | ||||
\(940\) | −3.13132 | − | 0.145610i | −0.102133 | − | 0.00474928i | ||||
\(941\) | −24.1047 | + | 33.1773i | −0.785791 | + | 1.08155i | 0.208829 | + | 0.977952i | \(0.433035\pi\) |
−0.994619 | + | 0.103596i | \(0.966965\pi\) | |||||||
\(942\) | −13.9825 | + | 7.12446i | −0.455576 | + | 0.232127i | ||||
\(943\) | 15.5054 | + | 7.90042i | 0.504927 | + | 0.257273i | ||||
\(944\) | 2.10499 | + | 2.89726i | 0.0685114 | + | 0.0942979i | ||||
\(945\) | −2.19660 | + | 10.6421i | −0.0714553 | + | 0.346188i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 42.9022 | − | 42.9022i | 1.39413 | − | 1.39413i | 0.578336 | − | 0.815799i | \(-0.303702\pi\) |
0.815799 | − | 0.578336i | \(-0.196298\pi\) | |||||||
\(948\) | −0.332812 | + | 2.10129i | −0.0108092 | + | 0.0682468i | ||||
\(949\) | −18.8077 | + | 6.11099i | −0.610523 | + | 0.198371i | ||||
\(950\) | 38.4266 | − | 2.46824i | 1.24672 | − | 0.0800802i | ||||
\(951\) | −24.2691 | − | 17.6325i | −0.786978 | − | 0.571773i | ||||
\(952\) | −0.366103 | − | 2.31148i | −0.0118655 | − | 0.0749155i | ||||
\(953\) | −2.07080 | − | 4.06417i | −0.0670797 | − | 0.131651i | 0.855032 | − | 0.518576i | \(-0.173537\pi\) |
−0.922112 | + | 0.386924i | \(0.873537\pi\) | |||||||
\(954\) | 7.44627 | + | 22.9173i | 0.241082 | + | 0.741974i | ||||
\(955\) | −6.94222 | − | 15.3485i | −0.224645 | − | 0.496664i | ||||
\(956\) | − | 6.00049i | − | 0.194070i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.62489 | − | 7.62489i | −0.246349 | − | 0.246349i | ||||
\(959\) | −4.06682 | + | 2.95472i | −0.131325 | + | 0.0954128i | ||||
\(960\) | 28.2411 | − | 35.2981i | 0.911478 | − | 1.13924i | ||||
\(961\) | 8.24126 | − | 25.3640i | 0.265847 | − | 0.818193i | ||||
\(962\) | −40.2114 | + | 6.36885i | −1.29647 | + | 0.205340i | ||||
\(963\) | −23.9195 | + | 3.78848i | −0.770795 | + | 0.122082i | ||||
\(964\) | 0.383866 | − | 1.18142i | 0.0123635 | − | 0.0380509i | ||||
\(965\) | 35.3002 | − | 44.1212i | 1.13635 | − | 1.42031i | ||||
\(966\) | −42.8052 | + | 31.0998i | −1.37723 | + | 1.00062i | ||||
\(967\) | 27.0023 | + | 27.0023i | 0.868336 | + | 0.868336i | 0.992288 | − | 0.123952i | \(-0.0395569\pi\) |
−0.123952 | + | 0.992288i | \(0.539557\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 4.16018i | − | 0.133644i | ||||||
\(970\) | −8.78459 | − | 19.4217i | −0.282056 | − | 0.623594i | ||||
\(971\) | −12.2539 | − | 37.7137i | −0.393247 | − | 1.21029i | −0.930318 | − | 0.366753i | \(-0.880469\pi\) |
0.537071 | − | 0.843537i | \(-0.319531\pi\) | |||||||
\(972\) | 3.40081 | + | 6.67446i | 0.109081 | + | 0.214084i | ||||
\(973\) | −3.47305 | − | 21.9280i | −0.111341 | − | 0.702978i | ||||
\(974\) | 4.47012 | + | 3.24773i | 0.143232 | + | 0.104064i | ||||
\(975\) | −37.3913 | + | 42.5245i | −1.19748 | + | 1.36187i | ||||
\(976\) | 0.269508 | − | 0.0875685i | 0.00862675 | − | 0.00280300i | ||||
\(977\) | 0.994498 | − | 6.27901i | 0.0318168 | − | 0.200883i | −0.966660 | − | 0.256065i | \(-0.917574\pi\) |
0.998476 | + | 0.0551818i | \(0.0175738\pi\) | |||||||
\(978\) | −4.55869 | + | 4.55869i | −0.145771 | + | 0.145771i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0.0777799 | − | 0.376830i | 0.00248459 | − | 0.0120374i | ||||
\(981\) | −20.6983 | − | 28.4888i | −0.660846 | − | 0.909577i | ||||
\(982\) | −19.6426 | − | 10.0084i | −0.626820 | − | 0.319381i | ||||
\(983\) | 1.06922 | − | 0.544795i | 0.0341028 | − | 0.0173763i | −0.436856 | − | 0.899531i | \(-0.643908\pi\) |
0.470959 | + | 0.882155i | \(0.343908\pi\) | |||||||
\(984\) | −9.83283 | + | 13.5337i | −0.313459 | + | 0.431439i | ||||
\(985\) | −32.7191 | − | 1.52147i | −1.04252 | − | 0.0484782i | ||||
\(986\) | 1.44380 | + | 0.469118i | 0.0459798 | + | 0.0149398i | ||||
\(987\) | −9.33867 | + | 18.3282i | −0.297253 | + | 0.583392i | ||||
\(988\) | 11.8817 | + | 1.88188i | 0.378008 | + | 0.0598706i | ||||
\(989\) | 14.5675 | 0.463220 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.57879 | 0.304280 | 0.152140 | − | 0.988359i | \(-0.451383\pi\) | ||||
0.152140 | + | 0.988359i | \(0.451383\pi\) | |||||||
\(992\) | 16.5737 | + | 2.62501i | 0.526214 | + | 0.0833442i | ||||
\(993\) | −13.1047 | + | 25.7195i | −0.415867 | + | 0.816184i | ||||
\(994\) | −34.6930 | − | 11.2725i | −1.10040 | − | 0.357541i | ||||
\(995\) | −12.9959 | − | 14.2635i | −0.411998 | − | 0.452184i | ||||
\(996\) | −4.40155 | + | 6.05822i | −0.139469 | + | 0.191962i | ||||
\(997\) | −15.0259 | + | 7.65608i | −0.475875 | + | 0.242470i | −0.675441 | − | 0.737414i | \(-0.736047\pi\) |
0.199566 | + | 0.979884i | \(0.436047\pi\) | |||||||
\(998\) | −8.91667 | − | 4.54327i | −0.282252 | − | 0.143815i | ||||
\(999\) | 7.19325 | + | 9.90065i | 0.227584 | + | 0.313243i |
(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 | 605.2.m.f.118.4 | 80 | ||
5.2 | odd | 4 | inner | 605.2.m.f.602.7 | 80 | ||
11.2 | odd | 10 | 605.2.e.a.483.4 | yes | 20 | ||
11.3 | even | 5 | inner | 605.2.m.f.578.4 | 80 | ||
11.4 | even | 5 | inner | 605.2.m.f.403.4 | 80 | ||
11.5 | even | 5 | inner | 605.2.m.f.233.7 | 80 | ||
11.6 | odd | 10 | inner | 605.2.m.f.233.4 | 80 | ||
11.7 | odd | 10 | inner | 605.2.m.f.403.7 | 80 | ||
11.8 | odd | 10 | inner | 605.2.m.f.578.7 | 80 | ||
11.9 | even | 5 | 605.2.e.a.483.7 | yes | 20 | ||
11.10 | odd | 2 | inner | 605.2.m.f.118.7 | 80 | ||
55.2 | even | 20 | 605.2.e.a.362.7 | yes | 20 | ||
55.7 | even | 20 | inner | 605.2.m.f.282.4 | 80 | ||
55.17 | even | 20 | inner | 605.2.m.f.112.4 | 80 | ||
55.27 | odd | 20 | inner | 605.2.m.f.112.7 | 80 | ||
55.32 | even | 4 | inner | 605.2.m.f.602.4 | 80 | ||
55.37 | odd | 20 | inner | 605.2.m.f.282.7 | 80 | ||
55.42 | odd | 20 | 605.2.e.a.362.4 | ✓ | 20 | ||
55.47 | odd | 20 | inner | 605.2.m.f.457.4 | 80 | ||
55.52 | even | 20 | inner | 605.2.m.f.457.7 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.e.a.362.4 | ✓ | 20 | 55.42 | odd | 20 | ||
605.2.e.a.362.7 | yes | 20 | 55.2 | even | 20 | ||
605.2.e.a.483.4 | yes | 20 | 11.2 | odd | 10 | ||
605.2.e.a.483.7 | yes | 20 | 11.9 | even | 5 | ||
605.2.m.f.112.4 | 80 | 55.17 | even | 20 | inner | ||
605.2.m.f.112.7 | 80 | 55.27 | odd | 20 | inner | ||
605.2.m.f.118.4 | 80 | 1.1 | even | 1 | trivial | ||
605.2.m.f.118.7 | 80 | 11.10 | odd | 2 | inner | ||
605.2.m.f.233.4 | 80 | 11.6 | odd | 10 | inner | ||
605.2.m.f.233.7 | 80 | 11.5 | even | 5 | inner | ||
605.2.m.f.282.4 | 80 | 55.7 | even | 20 | inner | ||
605.2.m.f.282.7 | 80 | 55.37 | odd | 20 | inner | ||
605.2.m.f.403.4 | 80 | 11.4 | even | 5 | inner | ||
605.2.m.f.403.7 | 80 | 11.7 | odd | 10 | inner | ||
605.2.m.f.457.4 | 80 | 55.47 | odd | 20 | inner | ||
605.2.m.f.457.7 | 80 | 55.52 | even | 20 | inner | ||
605.2.m.f.578.4 | 80 | 11.3 | even | 5 | inner | ||
605.2.m.f.578.7 | 80 | 11.8 | odd | 10 | inner | ||
605.2.m.f.602.4 | 80 | 55.32 | even | 4 | inner | ||
605.2.m.f.602.7 | 80 | 5.2 | odd | 4 | inner |