Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(4,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bo (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 4.13 | ||
Character | \(\chi\) | \(=\) | 315.4 |
Dual form | 315.2.bo.b.79.13 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17913 | − | 0.680771i | −0.833770 | − | 0.481378i | 0.0213714 | − | 0.999772i | \(-0.493197\pi\) |
−0.855142 | + | 0.518394i | \(0.826530\pi\) | |||||||
\(3\) | 0.973105 | + | 1.43285i | 0.561822 | + | 0.827258i | ||||
\(4\) | −0.0731024 | − | 0.126617i | −0.0365512 | − | 0.0633085i | ||||
\(5\) | −2.23088 | − | 0.152304i | −0.997678 | − | 0.0681126i | ||||
\(6\) | −0.171973 | − | 2.35198i | −0.0702075 | − | 0.960192i | ||||
\(7\) | 2.52908 | − | 0.777026i | 0.955901 | − | 0.293688i | ||||
\(8\) | 2.92215i | 1.03313i | ||||||||
\(9\) | −1.10613 | + | 2.78863i | −0.368711 | + | 0.929544i | ||||
\(10\) | 2.52681 | + | 1.69830i | 0.799046 | + | 0.537050i | ||||
\(11\) | 0.621221 | 0.187305 | 0.0936526 | − | 0.995605i | \(-0.470146\pi\) | ||||
0.0936526 | + | 0.995605i | \(0.470146\pi\) | |||||||
\(12\) | 0.110287 | − | 0.227957i | 0.0318372 | − | 0.0658054i | ||||
\(13\) | 2.17808 | + | 1.25751i | 0.604090 | + | 0.348772i | 0.770649 | − | 0.637260i | \(-0.219932\pi\) |
−0.166559 | + | 0.986032i | \(0.553266\pi\) | |||||||
\(14\) | −3.51109 | − | 0.805508i | −0.938377 | − | 0.215281i | ||||
\(15\) | −1.95265 | − | 3.34472i | −0.504171 | − | 0.863604i | ||||
\(16\) | 1.84311 | − | 3.19236i | 0.460777 | − | 0.798089i | ||||
\(17\) | 5.28156 | + | 3.04931i | 1.28097 | + | 0.739566i | 0.977025 | − | 0.213124i | \(-0.0683639\pi\) |
0.303942 | + | 0.952691i | \(0.401697\pi\) | |||||||
\(18\) | 3.20269 | − | 2.53513i | 0.754882 | − | 0.597537i | ||||
\(19\) | −0.100966 | − | 0.174878i | −0.0231631 | − | 0.0401198i | 0.854211 | − | 0.519926i | \(-0.174040\pi\) |
−0.877375 | + | 0.479806i | \(0.840707\pi\) | |||||||
\(20\) | 0.143798 | + | 0.293601i | 0.0321542 | + | 0.0656511i | ||||
\(21\) | 3.57442 | + | 2.86767i | 0.780003 | + | 0.625776i | ||||
\(22\) | −0.732500 | − | 0.422909i | −0.156170 | − | 0.0901646i | ||||
\(23\) | 4.00481i | 0.835060i | 0.908663 | + | 0.417530i | \(0.137104\pi\) | ||||
−0.908663 | + | 0.417530i | \(0.862896\pi\) | |||||||
\(24\) | −4.18701 | + | 2.84356i | −0.854669 | + | 0.580438i | ||||
\(25\) | 4.95361 | + | 0.679544i | 0.990721 | + | 0.135909i | ||||
\(26\) | −1.71216 | − | 2.96554i | −0.335782 | − | 0.581591i | ||||
\(27\) | −5.07208 | + | 1.12870i | −0.976123 | + | 0.217219i | ||||
\(28\) | −0.283266 | − | 0.263422i | −0.0535323 | − | 0.0497820i | ||||
\(29\) | −0.297732 | − | 0.515687i | −0.0552875 | − | 0.0957607i | 0.837057 | − | 0.547116i | \(-0.184274\pi\) |
−0.892345 | + | 0.451355i | \(0.850941\pi\) | |||||||
\(30\) | 0.0254323 | + | 5.27317i | 0.00464327 | + | 0.962744i | ||||
\(31\) | 3.51551 | + | 6.08904i | 0.631404 | + | 1.09362i | 0.987265 | + | 0.159085i | \(0.0508543\pi\) |
−0.355861 | + | 0.934539i | \(0.615812\pi\) | |||||||
\(32\) | 0.714782 | − | 0.412680i | 0.126357 | − | 0.0729521i | ||||
\(33\) | 0.604514 | + | 0.890119i | 0.105232 | + | 0.154950i | ||||
\(34\) | −4.15176 | − | 7.19106i | −0.712021 | − | 1.23326i | ||||
\(35\) | −5.76040 | + | 1.34826i | −0.973685 | + | 0.227897i | ||||
\(36\) | 0.433949 | − | 0.0638003i | 0.0723249 | − | 0.0106334i | ||||
\(37\) | −5.67340 | + | 3.27554i | −0.932702 | + | 0.538496i | −0.887665 | − | 0.460490i | \(-0.847674\pi\) |
−0.0450367 | + | 0.998985i | \(0.514340\pi\) | |||||||
\(38\) | 0.274938i | 0.0446009i | ||||||||
\(39\) | 0.317666 | + | 4.34456i | 0.0508673 | + | 0.695686i | ||||
\(40\) | 0.445056 | − | 6.51894i | 0.0703695 | − | 1.03074i | ||||
\(41\) | 1.68428 | − | 2.91726i | 0.263040 | − | 0.455599i | −0.704008 | − | 0.710192i | \(-0.748608\pi\) |
0.967048 | + | 0.254593i | \(0.0819414\pi\) | |||||||
\(42\) | −2.26248 | − | 5.81471i | −0.349108 | − | 0.897230i | ||||
\(43\) | 7.13977 | − | 4.12215i | 1.08880 | − | 0.628622i | 0.155547 | − | 0.987829i | \(-0.450286\pi\) |
0.933258 | + | 0.359207i | \(0.116953\pi\) | |||||||
\(44\) | −0.0454127 | − | 0.0786572i | −0.00684623 | − | 0.0118580i | ||||
\(45\) | 2.89237 | − | 6.05262i | 0.431169 | − | 0.902271i | ||||
\(46\) | 2.72636 | − | 4.72219i | 0.401979 | − | 0.696249i | ||||
\(47\) | 1.33585 | + | 0.771254i | 0.194854 | + | 0.112499i | 0.594253 | − | 0.804278i | \(-0.297448\pi\) |
−0.399399 | + | 0.916777i | \(0.630781\pi\) | |||||||
\(48\) | 6.36771 | − | 0.465596i | 0.919100 | − | 0.0672029i | ||||
\(49\) | 5.79246 | − | 3.93032i | 0.827495 | − | 0.561474i | ||||
\(50\) | −5.37833 | − | 4.17354i | −0.760611 | − | 0.590228i | ||||
\(51\) | 0.770300 | + | 10.5350i | 0.107864 | + | 1.47519i | ||||
\(52\) | − | 0.367709i | − | 0.0509921i | ||||||
\(53\) | −2.16836 | − | 1.25190i | −0.297847 | − | 0.171962i | 0.343628 | − | 0.939106i | \(-0.388344\pi\) |
−0.641475 | + | 0.767144i | \(0.721677\pi\) | |||||||
\(54\) | 6.74903 | + | 2.12204i | 0.918427 | + | 0.288773i | ||||
\(55\) | −1.38587 | − | 0.0946147i | −0.186870 | − | 0.0127578i | ||||
\(56\) | 2.27058 | + | 7.39033i | 0.303419 | + | 0.987575i | ||||
\(57\) | 0.152324 | − | 0.314844i | 0.0201758 | − | 0.0417021i | ||||
\(58\) | 0.810750i | 0.106457i | ||||||||
\(59\) | −6.88298 | − | 11.9217i | −0.896087 | − | 1.55207i | −0.832453 | − | 0.554096i | \(-0.813064\pi\) |
−0.0636344 | − | 0.997973i | \(-0.520269\pi\) | |||||||
\(60\) | −0.280756 | + | 0.491745i | −0.0362454 | + | 0.0634841i | ||||
\(61\) | 3.33132 | − | 5.77001i | 0.426531 | − | 0.738774i | −0.570031 | − | 0.821623i | \(-0.693069\pi\) |
0.996562 | + | 0.0828495i | \(0.0264021\pi\) | |||||||
\(62\) | − | 9.57302i | − | 1.21577i | ||||||
\(63\) | −0.630658 | + | 7.91216i | −0.0794555 | + | 0.996838i | ||||
\(64\) | −8.49619 | −1.06202 | ||||||||
\(65\) | −4.66750 | − | 3.13709i | −0.578932 | − | 0.389108i | ||||
\(66\) | −0.106833 | − | 1.46110i | −0.0131502 | − | 0.179849i | ||||
\(67\) | −11.1570 | + | 6.44148i | −1.36304 | + | 0.786952i | −0.990028 | − | 0.140873i | \(-0.955009\pi\) |
−0.373014 | + | 0.927826i | \(0.621676\pi\) | |||||||
\(68\) | − | 0.891647i | − | 0.108128i | ||||||
\(69\) | −5.73830 | + | 3.89710i | −0.690810 | + | 0.469156i | ||||
\(70\) | 7.71011 | + | 2.33174i | 0.921535 | + | 0.278696i | ||||
\(71\) | −8.76528 | −1.04025 | −0.520124 | − | 0.854091i | \(-0.674114\pi\) | ||||
−0.520124 | + | 0.854091i | \(0.674114\pi\) | |||||||
\(72\) | −8.14879 | − | 3.23228i | −0.960344 | − | 0.380928i | ||||
\(73\) | 1.02561 | + | 0.592135i | 0.120038 | + | 0.0693042i | 0.558817 | − | 0.829291i | \(-0.311255\pi\) |
−0.438779 | + | 0.898595i | \(0.644589\pi\) | |||||||
\(74\) | 8.91957 | 1.03688 | ||||||||
\(75\) | 3.84669 | + | 7.75906i | 0.444178 | + | 0.895939i | ||||
\(76\) | −0.0147617 | + | 0.0255680i | −0.00169328 | + | 0.00293285i | ||||
\(77\) | 1.57112 | − | 0.482705i | 0.179045 | − | 0.0550093i | ||||
\(78\) | 2.58308 | − | 5.33905i | 0.292476 | − | 0.604529i | ||||
\(79\) | −7.80418 | + | 13.5172i | −0.878039 | + | 1.52081i | −0.0245499 | + | 0.999699i | \(0.507815\pi\) |
−0.853489 | + | 0.521110i | \(0.825518\pi\) | |||||||
\(80\) | −4.59795 | + | 6.84103i | −0.514067 | + | 0.764851i | ||||
\(81\) | −6.55294 | − | 6.16920i | −0.728104 | − | 0.685467i | ||||
\(82\) | −3.97197 | + | 2.29322i | −0.438630 | + | 0.253243i | ||||
\(83\) | 7.36846 | − | 4.25418i | 0.808793 | − | 0.466957i | −0.0377433 | − | 0.999287i | \(-0.512017\pi\) |
0.846537 | + | 0.532330i | \(0.178684\pi\) | |||||||
\(84\) | 0.101797 | − | 0.662216i | 0.0111069 | − | 0.0722537i | ||||
\(85\) | −11.3181 | − | 7.60704i | −1.22762 | − | 0.825099i | ||||
\(86\) | −11.2250 | −1.21042 | ||||||||
\(87\) | 0.449179 | − | 0.928424i | 0.0481571 | − | 0.0995375i | ||||
\(88\) | 1.81530i | 0.193512i | ||||||||
\(89\) | −1.99854 | − | 3.46158i | −0.211845 | − | 0.366927i | 0.740447 | − | 0.672115i | \(-0.234614\pi\) |
−0.952292 | + | 0.305188i | \(0.901281\pi\) | |||||||
\(90\) | −7.53092 | + | 5.16778i | −0.793829 | + | 0.544732i | ||||
\(91\) | 6.48565 | + | 1.48793i | 0.679881 | + | 0.155977i | ||||
\(92\) | 0.507077 | − | 0.292761i | 0.0528664 | − | 0.0305224i | ||||
\(93\) | −5.30374 | + | 10.9625i | −0.549972 | + | 1.13676i | ||||
\(94\) | −1.05009 | − | 1.81882i | −0.108309 | − | 0.187597i | ||||
\(95\) | 0.198607 | + | 0.405508i | 0.0203767 | + | 0.0416043i | ||||
\(96\) | 1.28687 | + | 0.622597i | 0.131340 | + | 0.0635435i | ||||
\(97\) | −0.922012 | + | 0.532324i | −0.0936162 | + | 0.0540493i | −0.546077 | − | 0.837735i | \(-0.683879\pi\) |
0.452461 | + | 0.891784i | \(0.350546\pi\) | |||||||
\(98\) | −9.50571 | + | 0.691014i | −0.960221 | + | 0.0698029i | ||||
\(99\) | −0.687154 | + | 1.73236i | −0.0690616 | + | 0.174108i | ||||
\(100\) | −0.276079 | − | 0.676887i | −0.0276079 | − | 0.0676887i | ||||
\(101\) | −10.9221 | −1.08679 | −0.543394 | − | 0.839478i | \(-0.682861\pi\) | ||||
−0.543394 | + | 0.839478i | \(0.682861\pi\) | |||||||
\(102\) | 6.26363 | − | 12.9465i | 0.620192 | − | 1.28190i | ||||
\(103\) | − | 11.3226i | − | 1.11565i | −0.829959 | − | 0.557824i | \(-0.811636\pi\) | ||
0.829959 | − | 0.557824i | \(-0.188364\pi\) | |||||||
\(104\) | −3.67464 | + | 6.36466i | −0.360328 | + | 0.624107i | ||||
\(105\) | −7.53733 | − | 6.94181i | −0.735568 | − | 0.677451i | ||||
\(106\) | 1.70452 | + | 2.95231i | 0.165557 | + | 0.286754i | ||||
\(107\) | 14.3799 | − | 8.30225i | 1.39016 | − | 0.802609i | 0.396827 | − | 0.917893i | \(-0.370111\pi\) |
0.993333 | + | 0.115284i | \(0.0367780\pi\) | |||||||
\(108\) | 0.513695 | + | 0.559701i | 0.0494303 | + | 0.0538573i | ||||
\(109\) | 2.59019 | − | 4.48634i | 0.248095 | − | 0.429713i | −0.714902 | − | 0.699224i | \(-0.753529\pi\) |
0.962997 | + | 0.269511i | \(0.0868622\pi\) | |||||||
\(110\) | 1.56971 | + | 1.05502i | 0.149666 | + | 0.100592i | ||||
\(111\) | −10.2142 | − | 4.94171i | −0.969487 | − | 0.469046i | ||||
\(112\) | 2.18082 | − | 9.50586i | 0.206068 | − | 0.898219i | ||||
\(113\) | 5.18922 | + | 2.99600i | 0.488160 | + | 0.281840i | 0.723811 | − | 0.689998i | \(-0.242389\pi\) |
−0.235651 | + | 0.971838i | \(0.575722\pi\) | |||||||
\(114\) | −0.393946 | + | 0.267544i | −0.0368964 | + | 0.0250578i | ||||
\(115\) | 0.609950 | − | 8.93423i | 0.0568781 | − | 0.833121i | ||||
\(116\) | −0.0435299 | + | 0.0753959i | −0.00404165 | + | 0.00700034i | ||||
\(117\) | −5.91599 | + | 4.68288i | −0.546933 | + | 0.432932i | ||||
\(118\) | 18.7429i | 1.72543i | ||||||||
\(119\) | 15.7269 | + | 3.60803i | 1.44168 | + | 0.330748i | ||||
\(120\) | 9.77377 | − | 5.70592i | 0.892219 | − | 0.520877i | ||||
\(121\) | −10.6141 | −0.964917 | ||||||||
\(122\) | −7.85611 | + | 4.53572i | −0.711258 | + | 0.410645i | ||||
\(123\) | 5.81898 | − | 0.425473i | 0.524680 | − | 0.0383636i | ||||
\(124\) | 0.513984 | − | 0.890246i | 0.0461571 | − | 0.0799465i | ||||
\(125\) | −10.9474 | − | 2.27043i | −0.979163 | − | 0.203074i | ||||
\(126\) | 6.12999 | − | 8.90013i | 0.546103 | − | 0.792886i | ||||
\(127\) | 6.32526i | 0.561276i | 0.959814 | + | 0.280638i | \(0.0905460\pi\) | ||||
−0.959814 | + | 0.280638i | \(0.909454\pi\) | |||||||
\(128\) | 8.58854 | + | 4.95860i | 0.759127 | + | 0.438282i | ||||
\(129\) | 12.8542 | + | 6.21896i | 1.13175 | + | 0.547549i | ||||
\(130\) | 3.36794 | + | 6.87653i | 0.295388 | + | 0.603111i | ||||
\(131\) | 17.5276 | 1.53139 | 0.765695 | − | 0.643204i | \(-0.222395\pi\) | ||||
0.765695 | + | 0.643204i | \(0.222395\pi\) | |||||||
\(132\) | 0.0685128 | − | 0.141611i | 0.00596327 | − | 0.0123257i | ||||
\(133\) | −0.391235 | − | 0.363827i | −0.0339244 | − | 0.0315478i | ||||
\(134\) | 17.5407 | 1.51529 | ||||||||
\(135\) | 11.4871 | − | 1.74550i | 0.988651 | − | 0.150229i | ||||
\(136\) | −8.91053 | + | 15.4335i | −0.764072 | + | 1.32341i | ||||
\(137\) | 14.0633i | 1.20151i | 0.799433 | + | 0.600755i | \(0.205133\pi\) | ||||
−0.799433 | + | 0.600755i | \(0.794867\pi\) | |||||||
\(138\) | 9.41923 | − | 0.688717i | 0.801818 | − | 0.0586275i | ||||
\(139\) | 6.68525 | − | 11.5792i | 0.567036 | − | 0.982135i | −0.429821 | − | 0.902914i | \(-0.641423\pi\) |
0.996857 | − | 0.0792208i | \(-0.0252432\pi\) | |||||||
\(140\) | 0.591811 | + | 0.630804i | 0.0500172 | + | 0.0533126i | ||||
\(141\) | 0.194830 | + | 2.66459i | 0.0164076 | + | 0.224399i | ||||
\(142\) | 10.3354 | + | 5.96715i | 0.867328 | + | 0.500752i | ||||
\(143\) | 1.35307 | + | 0.781194i | 0.113149 | + | 0.0653268i | ||||
\(144\) | 6.86358 | + | 8.67092i | 0.571965 | + | 0.722577i | ||||
\(145\) | 0.585662 | + | 1.19578i | 0.0486366 | + | 0.0993041i | ||||
\(146\) | −0.806216 | − | 1.39641i | −0.0667229 | − | 0.115568i | ||||
\(147\) | 11.2682 | + | 4.47513i | 0.929389 | + | 0.369103i | ||||
\(148\) | 0.829478 | + | 0.478900i | 0.0681827 | + | 0.0393653i | ||||
\(149\) | 20.9587 | 1.71700 | 0.858502 | − | 0.512810i | \(-0.171396\pi\) | ||||
0.858502 | + | 0.512810i | \(0.171396\pi\) | |||||||
\(150\) | 0.746390 | − | 11.7676i | 0.0609425 | − | 0.960824i | ||||
\(151\) | −5.24141 | −0.426540 | −0.213270 | − | 0.976993i | \(-0.568411\pi\) | ||||
−0.213270 | + | 0.976993i | \(0.568411\pi\) | |||||||
\(152\) | 0.511019 | − | 0.295037i | 0.0414491 | − | 0.0239307i | ||||
\(153\) | −14.3455 | + | 11.3554i | −1.15977 | + | 0.918028i | ||||
\(154\) | −2.18116 | − | 0.500398i | −0.175763 | − | 0.0403233i | ||||
\(155\) | −6.91527 | − | 14.1193i | −0.555448 | − | 1.13409i | ||||
\(156\) | 0.526873 | − | 0.357819i | 0.0421836 | − | 0.0286485i | ||||
\(157\) | −8.49494 | + | 4.90456i | −0.677970 | + | 0.391426i | −0.799090 | − | 0.601212i | \(-0.794685\pi\) |
0.121120 | + | 0.992638i | \(0.461352\pi\) | |||||||
\(158\) | 18.4043 | − | 10.6257i | 1.46417 | − | 0.845337i | ||||
\(159\) | −0.316248 | − | 4.32517i | −0.0250801 | − | 0.343008i | ||||
\(160\) | −1.65744 | + | 0.811772i | −0.131032 | + | 0.0641762i | ||||
\(161\) | 3.11184 | + | 10.1285i | 0.245247 | + | 0.798235i | ||||
\(162\) | 3.52695 | + | 11.7353i | 0.277103 | + | 0.922015i | ||||
\(163\) | −1.19707 | + | 0.691129i | −0.0937618 | + | 0.0541334i | −0.546148 | − | 0.837689i | \(-0.683906\pi\) |
0.452386 | + | 0.891822i | \(0.350573\pi\) | |||||||
\(164\) | −0.492499 | −0.0384577 | ||||||||
\(165\) | −1.21303 | − | 2.07781i | −0.0944339 | − | 0.161758i | ||||
\(166\) | −11.5845 | −0.899131 | ||||||||
\(167\) | −5.10891 | − | 2.94963i | −0.395339 | − | 0.228249i | 0.289132 | − | 0.957289i | \(-0.406633\pi\) |
−0.684471 | + | 0.729040i | \(0.739967\pi\) | |||||||
\(168\) | −8.37974 | + | 10.4450i | −0.646511 | + | 0.805848i | ||||
\(169\) | −3.33732 | − | 5.78040i | −0.256717 | − | 0.444646i | ||||
\(170\) | 8.16683 | + | 16.6747i | 0.626368 | + | 1.27889i | ||||
\(171\) | 0.599352 | − | 0.0881182i | 0.0458336 | − | 0.00673856i | ||||
\(172\) | −1.04387 | − | 0.602678i | −0.0795942 | − | 0.0459537i | ||||
\(173\) | −15.8285 | − | 9.13861i | −1.20342 | − | 0.694796i | −0.242107 | − | 0.970250i | \(-0.577839\pi\) |
−0.961314 | + | 0.275454i | \(0.911172\pi\) | |||||||
\(174\) | −1.16168 | + | 0.788944i | −0.0880671 | + | 0.0598097i | ||||
\(175\) | 13.0561 | − | 2.13046i | 0.986947 | − | 0.161048i | ||||
\(176\) | 1.14498 | − | 1.98316i | 0.0863059 | − | 0.149486i | ||||
\(177\) | 10.3841 | − | 21.4633i | 0.780519 | − | 1.61328i | ||||
\(178\) | 5.44220i | 0.407910i | ||||||||
\(179\) | 9.23806 | − | 16.0008i | 0.690485 | − | 1.19596i | −0.281194 | − | 0.959651i | \(-0.590730\pi\) |
0.971679 | − | 0.236305i | \(-0.0759363\pi\) | |||||||
\(180\) | −0.977804 | + | 0.0762380i | −0.0728812 | + | 0.00568245i | ||||
\(181\) | 20.4831 | 1.52250 | 0.761248 | − | 0.648461i | \(-0.224587\pi\) | ||||
0.761248 | + | 0.648461i | \(0.224587\pi\) | |||||||
\(182\) | −6.63448 | − | 6.16970i | −0.491781 | − | 0.457328i | ||||
\(183\) | 11.5093 | − | 0.841539i | 0.850791 | − | 0.0622083i | ||||
\(184\) | −11.7026 | −0.862730 | ||||||||
\(185\) | 13.1555 | − | 6.44324i | 0.967214 | − | 0.473716i | ||||
\(186\) | 13.7167 | − | 9.31555i | 1.00576 | − | 0.683049i | ||||
\(187\) | 3.28102 | + | 1.89430i | 0.239932 | + | 0.138525i | ||||
\(188\) | − | 0.225522i | − | 0.0164479i | ||||||
\(189\) | −11.9507 | + | 6.79572i | −0.869282 | + | 0.494316i | ||||
\(190\) | 0.0418743 | − | 0.613353i | 0.00303788 | − | 0.0444973i | ||||
\(191\) | 2.91632 | − | 5.05121i | 0.211017 | − | 0.365493i | −0.741016 | − | 0.671488i | \(-0.765656\pi\) |
0.952033 | + | 0.305995i | \(0.0989890\pi\) | |||||||
\(192\) | −8.26768 | − | 12.1738i | −0.596669 | − | 0.878568i | ||||
\(193\) | −6.27202 | + | 3.62115i | −0.451470 | + | 0.260656i | −0.708451 | − | 0.705760i | \(-0.750606\pi\) |
0.256981 | + | 0.966416i | \(0.417272\pi\) | |||||||
\(194\) | 1.44956 | 0.104073 | ||||||||
\(195\) | −0.0469783 | − | 9.74055i | −0.00336418 | − | 0.697535i | ||||
\(196\) | −0.921088 | − | 0.446109i | −0.0657920 | − | 0.0318649i | ||||
\(197\) | 15.2073i | 1.08348i | 0.840547 | + | 0.541739i | \(0.182234\pi\) | ||||
−0.840547 | + | 0.541739i | \(0.817766\pi\) | |||||||
\(198\) | 1.98958 | − | 1.57488i | 0.141393 | − | 0.111922i | ||||
\(199\) | −0.772275 | + | 1.33762i | −0.0547451 | + | 0.0948213i | −0.892099 | − | 0.451840i | \(-0.850768\pi\) |
0.837354 | + | 0.546661i | \(0.184101\pi\) | |||||||
\(200\) | −1.98573 | + | 14.4752i | −0.140412 | + | 1.02355i | ||||
\(201\) | −20.0866 | − | 9.71806i | −1.41680 | − | 0.685459i | ||||
\(202\) | 12.8786 | + | 7.43544i | 0.906132 | + | 0.523155i | ||||
\(203\) | −1.15369 | − | 1.07287i | −0.0809732 | − | 0.0753005i | ||||
\(204\) | 1.27760 | − | 0.867666i | 0.0894498 | − | 0.0607488i | ||||
\(205\) | −4.20173 | + | 6.25151i | −0.293461 | + | 0.436625i | ||||
\(206\) | −7.70809 | + | 13.3508i | −0.537048 | + | 0.930194i | ||||
\(207\) | −11.1679 | − | 4.42985i | −0.776225 | − | 0.307896i | ||||
\(208\) | 8.02886 | − | 4.63547i | 0.556702 | − | 0.321412i | ||||
\(209\) | −0.0627221 | − | 0.108638i | −0.00433858 | − | 0.00751464i | ||||
\(210\) | 4.16171 | + | 13.3165i | 0.287185 | + | 0.918925i | ||||
\(211\) | −8.98538 | + | 15.5631i | −0.618579 | + | 1.07141i | 0.371166 | + | 0.928566i | \(0.378958\pi\) |
−0.989745 | + | 0.142844i | \(0.954375\pi\) | |||||||
\(212\) | 0.366068i | 0.0251416i | ||||||||
\(213\) | −8.52954 | − | 12.5594i | −0.584434 | − | 0.860553i | ||||
\(214\) | −22.6077 | −1.54543 | ||||||||
\(215\) | −16.5558 | + | 8.10858i | −1.12909 | + | 0.553000i | ||||
\(216\) | −3.29824 | − | 14.8214i | −0.224417 | − | 1.00847i | ||||
\(217\) | 13.6223 | + | 12.6680i | 0.924744 | + | 0.859960i | ||||
\(218\) | −6.10833 | + | 3.52665i | −0.413709 | + | 0.238855i | ||||
\(219\) | 0.149582 | + | 2.04575i | 0.0101078 | + | 0.138239i | ||||
\(220\) | 0.0893303 | + | 0.182391i | 0.00602265 | + | 0.0122968i | ||||
\(221\) | 7.66910 | + | 13.2833i | 0.515880 | + | 0.893530i | ||||
\(222\) | 8.67968 | + | 12.7804i | 0.582542 | + | 0.857766i | ||||
\(223\) | 24.1381 | − | 13.9362i | 1.61641 | − | 0.933235i | 0.628571 | − | 0.777752i | \(-0.283640\pi\) |
0.987839 | − | 0.155483i | \(-0.0496934\pi\) | |||||||
\(224\) | 1.48708 | − | 1.59910i | 0.0993595 | − | 0.106845i | ||||
\(225\) | −7.37435 | + | 13.0621i | −0.491623 | + | 0.870808i | ||||
\(226\) | −4.07917 | − | 7.06533i | −0.271342 | − | 0.469979i | ||||
\(227\) | − | 12.4868i | − | 0.828778i | −0.910100 | − | 0.414389i | \(-0.863995\pi\) | ||
0.910100 | − | 0.414389i | \(-0.136005\pi\) | |||||||
\(228\) | −0.0509998 | + | 0.00372901i | −0.00337755 | + | 0.000246960i | ||||
\(229\) | −16.5328 | −1.09252 | −0.546258 | − | 0.837617i | \(-0.683948\pi\) | ||||
−0.546258 | + | 0.837617i | \(0.683948\pi\) | |||||||
\(230\) | −6.80137 | + | 10.1194i | −0.448469 | + | 0.667252i | ||||
\(231\) | 2.22051 | + | 1.78146i | 0.146099 | + | 0.117211i | ||||
\(232\) | 1.50691 | − | 0.870017i | 0.0989338 | − | 0.0571194i | ||||
\(233\) | 10.0137 | − | 5.78138i | 0.656016 | − | 0.378751i | −0.134741 | − | 0.990881i | \(-0.543020\pi\) |
0.790757 | + | 0.612130i | \(0.209687\pi\) | |||||||
\(234\) | 10.1637 | − | 1.49429i | 0.664421 | − | 0.0976848i | ||||
\(235\) | −2.86265 | − | 1.92403i | −0.186739 | − | 0.125510i | ||||
\(236\) | −1.00632 | + | 1.74300i | −0.0655061 | + | 0.113460i | ||||
\(237\) | −26.9625 | + | 1.97145i | −1.75140 | + | 0.128059i | ||||
\(238\) | −16.0878 | − | 14.9607i | −1.04282 | − | 0.969760i | ||||
\(239\) | −3.97892 | + | 6.89170i | −0.257375 | + | 0.445787i | −0.965538 | − | 0.260262i | \(-0.916191\pi\) |
0.708163 | + | 0.706049i | \(0.249524\pi\) | |||||||
\(240\) | −14.2765 | + | 0.0688549i | −0.921543 | + | 0.00444456i | ||||
\(241\) | 1.61227 | 0.103855 | 0.0519277 | − | 0.998651i | \(-0.483463\pi\) | ||||
0.0519277 | + | 0.998651i | \(0.483463\pi\) | |||||||
\(242\) | 12.5154 | + | 7.22576i | 0.804519 | + | 0.464489i | ||||
\(243\) | 2.46286 | − | 15.3927i | 0.157992 | − | 0.987440i | ||||
\(244\) | −0.974108 | −0.0623609 | ||||||||
\(245\) | −13.5209 | + | 7.88583i | −0.863816 | + | 0.503807i | ||||
\(246\) | −7.15098 | − | 3.45970i | −0.455930 | − | 0.220583i | ||||
\(247\) | − | 0.507864i | − | 0.0323146i | ||||||
\(248\) | −17.7931 | + | 10.2728i | −1.12986 | + | 0.652325i | ||||
\(249\) | 13.2659 | + | 6.41815i | 0.840692 | + | 0.406734i | ||||
\(250\) | 11.3627 | + | 10.1298i | 0.718642 | + | 0.640664i | ||||
\(251\) | 14.8246 | 0.935719 | 0.467860 | − | 0.883803i | \(-0.345025\pi\) | ||||
0.467860 | + | 0.883803i | \(0.345025\pi\) | |||||||
\(252\) | 1.04792 | − | 0.498546i | 0.0660125 | − | 0.0314054i | ||||
\(253\) | 2.48787i | 0.156411i | ||||||||
\(254\) | 4.30605 | − | 7.45830i | 0.270186 | − | 0.467975i | ||||
\(255\) | −0.113916 | − | 23.6196i | −0.00713371 | − | 1.47912i | ||||
\(256\) | 1.74485 | + | 3.02217i | 0.109053 | + | 0.188886i | ||||
\(257\) | 22.5121i | 1.40427i | 0.712045 | + | 0.702133i | \(0.247769\pi\) | ||||
−0.712045 | + | 0.702133i | \(0.752231\pi\) | |||||||
\(258\) | −10.9231 | − | 16.0837i | −0.680040 | − | 1.00133i | ||||
\(259\) | −11.8033 | + | 12.6925i | −0.733421 | + | 0.788672i | ||||
\(260\) | −0.0560037 | + | 0.820313i | −0.00347320 | + | 0.0508736i | ||||
\(261\) | 1.76739 | − | 0.259847i | 0.109399 | − | 0.0160841i | ||||
\(262\) | −20.6673 | − | 11.9322i | −1.27683 | − | 0.737177i | ||||
\(263\) | 12.9951i | 0.801312i | 0.916229 | + | 0.400656i | \(0.131218\pi\) | ||||
−0.916229 | + | 0.400656i | \(0.868782\pi\) | |||||||
\(264\) | −2.60106 | + | 1.76648i | −0.160084 | + | 0.108719i | ||||
\(265\) | 4.64666 | + | 3.12309i | 0.285442 | + | 0.191850i | ||||
\(266\) | 0.213634 | + | 0.695340i | 0.0130988 | + | 0.0426340i | ||||
\(267\) | 3.01514 | − | 6.23210i | 0.184524 | − | 0.381398i | ||||
\(268\) | 1.63120 | + | 0.941775i | 0.0996416 | + | 0.0575281i | ||||
\(269\) | 3.97205 | − | 6.87979i | 0.242180 | − | 0.419468i | −0.719155 | − | 0.694850i | \(-0.755471\pi\) |
0.961335 | + | 0.275382i | \(0.0888042\pi\) | |||||||
\(270\) | −14.7331 | − | 5.76191i | −0.896625 | − | 0.350658i | ||||
\(271\) | 2.85337 | + | 4.94217i | 0.173330 | + | 0.300216i | 0.939582 | − | 0.342324i | \(-0.111214\pi\) |
−0.766252 | + | 0.642540i | \(0.777881\pi\) | |||||||
\(272\) | 19.4690 | − | 11.2404i | 1.18048 | − | 0.681550i | ||||
\(273\) | 4.17924 | + | 10.7409i | 0.252939 | + | 0.650068i | ||||
\(274\) | 9.57389 | − | 16.5825i | 0.578380 | − | 1.00178i | ||||
\(275\) | 3.07729 | + | 0.422147i | 0.185567 | + | 0.0254564i | ||||
\(276\) | 0.912922 | + | 0.441679i | 0.0549515 | + | 0.0265860i | ||||
\(277\) | − | 12.3722i | − | 0.743371i | −0.928359 | − | 0.371686i | \(-0.878780\pi\) | ||
0.928359 | − | 0.371686i | \(-0.121220\pi\) | |||||||
\(278\) | −15.7656 | + | 9.10225i | −0.945555 | + | 0.545917i | ||||
\(279\) | −20.8687 | + | 3.06817i | −1.24938 | + | 0.183686i | ||||
\(280\) | −3.93981 | − | 16.8327i | −0.235449 | − | 1.00595i | ||||
\(281\) | −9.64532 | − | 16.7062i | −0.575391 | − | 0.996607i | −0.995999 | − | 0.0893643i | \(-0.971516\pi\) |
0.420608 | − | 0.907243i | \(-0.361817\pi\) | |||||||
\(282\) | 1.58424 | − | 3.27453i | 0.0943403 | − | 0.194995i | ||||
\(283\) | −4.02201 | + | 2.32211i | −0.239083 | + | 0.138035i | −0.614755 | − | 0.788718i | \(-0.710745\pi\) |
0.375672 | + | 0.926753i | \(0.377412\pi\) | |||||||
\(284\) | 0.640763 | + | 1.10983i | 0.0380223 | + | 0.0658565i | ||||
\(285\) | −0.387768 | + | 0.679177i | −0.0229694 | + | 0.0402310i | ||||
\(286\) | −1.06363 | − | 1.84226i | −0.0628937 | − | 0.108935i | ||||
\(287\) | 1.99289 | − | 8.68670i | 0.117636 | − | 0.512760i | ||||
\(288\) | 0.360167 | + | 2.44974i | 0.0212231 | + | 0.144352i | ||||
\(289\) | 10.0966 | + | 17.4878i | 0.593917 | + | 1.02869i | ||||
\(290\) | 0.123481 | − | 1.80868i | 0.00725104 | − | 0.106209i | ||||
\(291\) | −1.65996 | − | 0.803101i | −0.0973084 | − | 0.0470786i | ||||
\(292\) | − | 0.173146i | − | 0.0101326i | ||||||
\(293\) | −26.2767 | − | 15.1708i | −1.53510 | − | 0.886289i | −0.999115 | − | 0.0420610i | \(-0.986608\pi\) |
−0.535983 | − | 0.844229i | \(-0.680059\pi\) | |||||||
\(294\) | −10.2402 | − | 12.9478i | −0.597219 | − | 0.755134i | ||||
\(295\) | 13.5393 | + | 27.6441i | 0.788291 | + | 1.60950i | ||||
\(296\) | −9.57161 | − | 16.5785i | −0.556339 | − | 0.963607i | ||||
\(297\) | −3.15089 | + | 0.701176i | −0.182833 | + | 0.0406863i | ||||
\(298\) | −24.7130 | − | 14.2681i | −1.43159 | − | 0.826527i | ||||
\(299\) | −5.03610 | + | 8.72279i | −0.291245 | + | 0.504452i | ||||
\(300\) | 0.701226 | − | 1.05426i | 0.0404853 | − | 0.0608678i | ||||
\(301\) | 14.8540 | − | 15.9730i | 0.856171 | − | 0.920669i | ||||
\(302\) | 6.18030 | + | 3.56820i | 0.355636 | + | 0.205327i | ||||
\(303\) | −10.6283 | − | 15.6497i | −0.610582 | − | 0.899054i | ||||
\(304\) | −0.744363 | −0.0426922 | ||||||||
\(305\) | −8.31055 | + | 12.3648i | −0.475861 | + | 0.708006i | ||||
\(306\) | 24.6456 | − | 3.62346i | 1.40890 | − | 0.207139i | ||||
\(307\) | 5.12962i | 0.292763i | 0.989228 | + | 0.146381i | \(0.0467627\pi\) | ||||
−0.989228 | + | 0.146381i | \(0.953237\pi\) | |||||||
\(308\) | −0.175971 | − | 0.163643i | −0.0100269 | − | 0.00932444i | ||||
\(309\) | 16.2236 | − | 11.0181i | 0.922928 | − | 0.626796i | ||||
\(310\) | −1.45801 | + | 21.3562i | −0.0828096 | + | 1.21295i | ||||
\(311\) | 4.14014 | + | 7.17094i | 0.234766 | + | 0.406627i | 0.959205 | − | 0.282713i | \(-0.0912343\pi\) |
−0.724439 | + | 0.689339i | \(0.757901\pi\) | |||||||
\(312\) | −12.6954 | + | 0.928267i | −0.718738 | + | 0.0525528i | ||||
\(313\) | −17.5702 | − | 10.1441i | −0.993125 | − | 0.573381i | −0.0869183 | − | 0.996215i | \(-0.527702\pi\) |
−0.906207 | + | 0.422834i | \(0.861035\pi\) | |||||||
\(314\) | 13.3555 | 0.753695 | ||||||||
\(315\) | 2.61198 | − | 17.5550i | 0.147168 | − | 0.989111i | ||||
\(316\) | 2.28202 | 0.128374 | ||||||||
\(317\) | −20.5664 | − | 11.8740i | −1.15512 | − | 0.666911i | −0.204993 | − | 0.978764i | \(-0.565717\pi\) |
−0.950130 | + | 0.311853i | \(0.899050\pi\) | |||||||
\(318\) | −2.57155 | + | 5.31523i | −0.144205 | + | 0.298063i | ||||
\(319\) | −0.184958 | − | 0.320356i | −0.0103556 | − | 0.0179365i | ||||
\(320\) | 18.9539 | + | 1.29401i | 1.05956 | + | 0.0723372i | ||||
\(321\) | 25.8891 | + | 12.5253i | 1.44499 | + | 0.699097i | ||||
\(322\) | 3.22590 | − | 14.0612i | 0.179773 | − | 0.783602i | ||||
\(323\) | − | 1.23150i | − | 0.0685228i | ||||||
\(324\) | −0.302090 | + | 1.28070i | −0.0167828 | + | 0.0711498i | ||||
\(325\) | 9.93481 | + | 7.70933i | 0.551084 | + | 0.427637i | ||||
\(326\) | 1.88200 | 0.104234 | ||||||||
\(327\) | 8.94878 | − | 0.654319i | 0.494869 | − | 0.0361839i | ||||
\(328\) | 8.52466 | + | 4.92171i | 0.470695 | + | 0.271756i | ||||
\(329\) | 3.97775 | + | 0.912569i | 0.219301 | + | 0.0503116i | ||||
\(330\) | 0.0157991 | + | 3.27580i | 0.000869710 | + | 0.180327i | ||||
\(331\) | 13.7078 | − | 23.7426i | 0.753447 | − | 1.30501i | −0.192696 | − | 0.981259i | \(-0.561723\pi\) |
0.946143 | − | 0.323750i | \(-0.104944\pi\) | |||||||
\(332\) | −1.07730 | − | 0.621981i | −0.0591247 | − | 0.0341357i | ||||
\(333\) | −2.85874 | − | 19.4442i | −0.156658 | − | 1.06554i | ||||
\(334\) | 4.01605 | + | 6.95599i | 0.219748 | + | 0.380615i | ||||
\(335\) | 25.8709 | − | 12.6709i | 1.41348 | − | 0.692284i | ||||
\(336\) | 15.7427 | − | 6.12540i | 0.858832 | − | 0.334168i | ||||
\(337\) | −4.77272 | − | 2.75553i | −0.259986 | − | 0.150103i | 0.364342 | − | 0.931265i | \(-0.381294\pi\) |
−0.624328 | + | 0.781162i | \(0.714627\pi\) | |||||||
\(338\) | 9.08779i | 0.494311i | ||||||||
\(339\) | 0.756832 | + | 10.3508i | 0.0411055 | + | 0.562178i | ||||
\(340\) | −0.135802 | + | 1.98915i | −0.00736489 | + | 0.107877i | ||||
\(341\) | 2.18391 | + | 3.78264i | 0.118265 | + | 0.204841i | ||||
\(342\) | −0.766702 | − | 0.304119i | −0.0414585 | − | 0.0164448i | ||||
\(343\) | 11.5956 | − | 14.4410i | 0.626105 | − | 0.779739i | ||||
\(344\) | 12.0455 | + | 20.8635i | 0.649451 | + | 1.12488i | ||||
\(345\) | 13.3950 | − | 7.81997i | 0.721161 | − | 0.421013i | ||||
\(346\) | 12.4426 | + | 21.5512i | 0.668918 | + | 1.15860i | ||||
\(347\) | −0.329422 | + | 0.190192i | −0.0176843 | + | 0.0102100i | −0.508816 | − | 0.860875i | \(-0.669917\pi\) |
0.491132 | + | 0.871085i | \(0.336583\pi\) | |||||||
\(348\) | −0.150390 | + | 0.0109963i | −0.00806177 | + | 0.000589462i | ||||
\(349\) | 0.417229 | + | 0.722662i | 0.0223338 | + | 0.0386832i | 0.876976 | − | 0.480534i | \(-0.159557\pi\) |
−0.854643 | + | 0.519217i | \(0.826224\pi\) | |||||||
\(350\) | −16.8452 | − | 6.37611i | −0.900412 | − | 0.340817i | ||||
\(351\) | −12.4668 | − | 3.91981i | −0.665426 | − | 0.209224i | ||||
\(352\) | 0.444038 | − | 0.256365i | 0.0236673 | − | 0.0136643i | ||||
\(353\) | 14.6935i | 0.782056i | 0.920379 | + | 0.391028i | \(0.127880\pi\) | ||||
−0.920379 | + | 0.391028i | \(0.872120\pi\) | |||||||
\(354\) | −26.8558 | + | 18.2388i | −1.42737 | + | 0.969383i | ||||
\(355\) | 19.5542 | + | 1.33499i | 1.03783 | + | 0.0708540i | ||||
\(356\) | −0.292196 | + | 0.506099i | −0.0154864 | + | 0.0268232i | ||||
\(357\) | 10.1341 | + | 26.0453i | 0.536354 | + | 1.37846i | ||||
\(358\) | −21.7857 | + | 12.5780i | −1.15141 | + | 0.664768i | ||||
\(359\) | −9.92659 | − | 17.1934i | −0.523905 | − | 0.907430i | −0.999613 | − | 0.0278269i | \(-0.991141\pi\) |
0.475708 | − | 0.879603i | \(-0.342192\pi\) | |||||||
\(360\) | 17.6866 | + | 8.45192i | 0.932168 | + | 0.445455i | ||||
\(361\) | 9.47961 | − | 16.4192i | 0.498927 | − | 0.864167i | ||||
\(362\) | −24.1522 | − | 13.9443i | −1.26941 | − | 0.732896i | ||||
\(363\) | −10.3286 | − | 15.2084i | −0.542112 | − | 0.798235i | ||||
\(364\) | −0.285719 | − | 0.929964i | −0.0149758 | − | 0.0487434i | ||||
\(365\) | −2.19782 | − | 1.47718i | −0.115039 | − | 0.0773193i | ||||
\(366\) | −14.1438 | − | 6.84291i | −0.739310 | − | 0.357684i | ||||
\(367\) | 18.8839i | 0.985734i | 0.870105 | + | 0.492867i | \(0.164051\pi\) | ||||
−0.870105 | + | 0.492867i | \(0.835949\pi\) | |||||||
\(368\) | 12.7848 | + | 7.38129i | 0.666452 | + | 0.384776i | ||||
\(369\) | 6.27212 | + | 7.92371i | 0.326514 | + | 0.412492i | ||||
\(370\) | −19.8984 | − | 1.35849i | −1.03447 | − | 0.0706245i | ||||
\(371\) | −6.45670 | − | 1.48129i | −0.335215 | − | 0.0769045i | ||||
\(372\) | 1.77575 | − | 0.129840i | 0.0920684 | − | 0.00673188i | ||||
\(373\) | − | 5.41346i | − | 0.280298i | −0.990130 | − | 0.140149i | \(-0.955242\pi\) | ||
0.990130 | − | 0.140149i | \(-0.0447582\pi\) | |||||||
\(374\) | −2.57916 | − | 4.46724i | −0.133365 | − | 0.230996i | ||||
\(375\) | −7.39975 | − | 17.8954i | −0.382122 | − | 0.924112i | ||||
\(376\) | −2.25372 | + | 3.90355i | −0.116227 | + | 0.201310i | ||||
\(377\) | − | 1.49761i | − | 0.0771308i | ||||||
\(378\) | 18.7177 | + | 0.122621i | 0.962735 | + | 0.00630696i | ||||
\(379\) | −36.1233 | −1.85553 | −0.927765 | − | 0.373164i | \(-0.878273\pi\) | ||||
−0.927765 | + | 0.373164i | \(0.878273\pi\) | |||||||
\(380\) | 0.0368256 | − | 0.0547907i | 0.00188911 | − | 0.00281070i | ||||
\(381\) | −9.06316 | + | 6.15514i | −0.464320 | + | 0.315337i | ||||
\(382\) | −6.87743 | + | 3.97069i | −0.351880 | + | 0.203158i | ||||
\(383\) | − | 34.8120i | − | 1.77881i | −0.457119 | − | 0.889405i | \(-0.651119\pi\) | ||
0.457119 | − | 0.889405i | \(-0.348881\pi\) | |||||||
\(384\) | 1.25261 | + | 17.1314i | 0.0639222 | + | 0.874231i | ||||
\(385\) | −3.57848 | + | 0.837567i | −0.182376 | + | 0.0426863i | ||||
\(386\) | 9.86069 | 0.501896 | ||||||||
\(387\) | 3.59761 | + | 24.4698i | 0.182877 | + | 1.24387i | ||||
\(388\) | 0.134803 | + | 0.0778283i | 0.00684356 | + | 0.00395113i | ||||
\(389\) | −27.8227 | −1.41067 | −0.705333 | − | 0.708876i | \(-0.749203\pi\) | ||||
−0.705333 | + | 0.708876i | \(0.749203\pi\) | |||||||
\(390\) | −6.57569 | + | 11.5173i | −0.332973 | + | 0.583204i | ||||
\(391\) | −12.2119 | + | 21.1516i | −0.617583 | + | 1.06968i | ||||
\(392\) | 11.4850 | + | 16.9264i | 0.580078 | + | 0.854913i | ||||
\(393\) | 17.0562 | + | 25.1144i | 0.860369 | + | 1.26685i | ||||
\(394\) | 10.3527 | − | 17.9314i | 0.521562 | − | 0.903372i | ||||
\(395\) | 19.4689 | − | 28.9667i | 0.979586 | − | 1.45747i | ||||
\(396\) | 0.269579 | − | 0.0396341i | 0.0135468 | − | 0.00199169i | ||||
\(397\) | 22.6589 | − | 13.0821i | 1.13722 | − | 0.656572i | 0.191476 | − | 0.981497i | \(-0.438672\pi\) |
0.945740 | + | 0.324925i | \(0.105339\pi\) | |||||||
\(398\) | 1.82122 | − | 1.05148i | 0.0912897 | − | 0.0527062i | ||||
\(399\) | 0.140597 | − | 0.914624i | 0.00703867 | − | 0.0457885i | ||||
\(400\) | 11.2994 | − | 14.5612i | 0.564969 | − | 0.728060i | ||||
\(401\) | −11.7942 | −0.588974 | −0.294487 | − | 0.955656i | \(-0.595149\pi\) | ||||
−0.294487 | + | 0.955656i | \(0.595149\pi\) | |||||||
\(402\) | 17.0689 | + | 25.1332i | 0.851321 | + | 1.25353i | ||||
\(403\) | 17.6832i | 0.880863i | ||||||||
\(404\) | 0.798430 | + | 1.38292i | 0.0397234 | + | 0.0688029i | ||||
\(405\) | 13.6792 | + | 14.7608i | 0.679724 | + | 0.733468i | ||||
\(406\) | 0.629973 | + | 2.05045i | 0.0312651 | + | 0.101762i | ||||
\(407\) | −3.52444 | + | 2.03484i | −0.174700 | + | 0.100863i | ||||
\(408\) | −30.7848 | + | 2.25093i | −1.52408 | + | 0.111438i | ||||
\(409\) | −16.6197 | − | 28.7862i | −0.821791 | − | 1.42338i | −0.904347 | − | 0.426798i | \(-0.859642\pi\) |
0.0825559 | − | 0.996586i | \(-0.473692\pi\) | |||||||
\(410\) | 9.21023 | − | 4.51093i | 0.454861 | − | 0.222779i | ||||
\(411\) | −20.1507 | + | 13.6851i | −0.993959 | + | 0.675035i | ||||
\(412\) | −1.43363 | + | 0.827708i | −0.0706300 | + | 0.0407782i | ||||
\(413\) | −26.6710 | − | 24.8026i | −1.31240 | − | 1.22045i | ||||
\(414\) | 10.1527 | + | 12.8262i | 0.498979 | + | 0.630372i | ||||
\(415\) | −17.0860 | + | 8.36830i | −0.838721 | + | 0.410784i | ||||
\(416\) | 2.07580 | 0.101775 | ||||||||
\(417\) | 23.0967 | − | 1.68879i | 1.13105 | − | 0.0827005i | ||||
\(418\) | 0.170798i | 0.00835398i | ||||||||
\(419\) | 7.56943 | − | 13.1106i | 0.369791 | − | 0.640496i | −0.619742 | − | 0.784806i | \(-0.712763\pi\) |
0.989533 | + | 0.144309i | \(0.0460960\pi\) | |||||||
\(420\) | −0.327954 | + | 1.46182i | −0.0160025 | + | 0.0713293i | ||||
\(421\) | −0.116982 | − | 0.202619i | −0.00570136 | − | 0.00987504i | 0.863161 | − | 0.504929i | \(-0.168481\pi\) |
−0.868862 | + | 0.495054i | \(0.835148\pi\) | |||||||
\(422\) | 21.1898 | − | 12.2340i | 1.03151 | − | 0.595540i | ||||
\(423\) | −3.62837 | + | 2.87209i | −0.176417 | + | 0.139646i | ||||
\(424\) | 3.65824 | − | 6.33626i | 0.177660 | − | 0.307716i | ||||
\(425\) | 24.0906 | + | 18.6941i | 1.16857 | + | 0.906799i | ||||
\(426\) | 1.50739 | + | 20.6158i | 0.0730332 | + | 0.998837i | ||||
\(427\) | 3.94171 | − | 17.1813i | 0.190753 | − | 0.831462i | ||||
\(428\) | −2.10241 | − | 1.21383i | −0.101624 | − | 0.0586726i | ||||
\(429\) | 0.197341 | + | 2.69893i | 0.00952771 | + | 0.130306i | ||||
\(430\) | 25.0415 | + | 1.70961i | 1.20761 | + | 0.0824447i | ||||
\(431\) | 0.544288 | − | 0.942735i | 0.0262174 | − | 0.0454099i | −0.852619 | − | 0.522533i | \(-0.824987\pi\) |
0.878836 | + | 0.477123i | \(0.158320\pi\) | |||||||
\(432\) | −5.74517 | + | 18.2722i | −0.276414 | + | 0.879122i | ||||
\(433\) | 26.5259i | 1.27476i | 0.770552 | + | 0.637378i | \(0.219981\pi\) | ||||
−0.770552 | + | 0.637378i | \(0.780019\pi\) | |||||||
\(434\) | −7.43848 | − | 24.2109i | −0.357059 | − | 1.16216i | ||||
\(435\) | −1.14347 | + | 2.00279i | −0.0548250 | + | 0.0960263i | ||||
\(436\) | −0.757395 | −0.0362727 | ||||||||
\(437\) | 0.700353 | − | 0.404349i | 0.0335024 | − | 0.0193426i | ||||
\(438\) | 1.21631 | − | 2.51404i | 0.0581177 | − | 0.120125i | ||||
\(439\) | 13.8382 | − | 23.9684i | 0.660460 | − | 1.14395i | −0.320035 | − | 0.947406i | \(-0.603695\pi\) |
0.980495 | − | 0.196545i | \(-0.0629721\pi\) | |||||||
\(440\) | 0.276478 | − | 4.04971i | 0.0131806 | − | 0.193062i | ||||
\(441\) | 4.55297 | + | 20.5005i | 0.216808 | + | 0.976214i | ||||
\(442\) | − | 20.8836i | − | 0.993332i | ||||||
\(443\) | 9.75448 | + | 5.63175i | 0.463449 | + | 0.267573i | 0.713494 | − | 0.700662i | \(-0.247112\pi\) |
−0.250044 | + | 0.968234i | \(0.580445\pi\) | |||||||
\(444\) | 0.120977 | + | 1.65454i | 0.00574131 | + | 0.0785210i | ||||
\(445\) | 3.93129 | + | 8.02674i | 0.186361 | + | 0.380504i | ||||
\(446\) | −37.9493 | −1.79695 | ||||||||
\(447\) | 20.3950 | + | 30.0307i | 0.964651 | + | 1.42041i | ||||
\(448\) | −21.4875 | + | 6.60176i | −1.01519 | + | 0.311904i | ||||
\(449\) | −7.28739 | −0.343913 | −0.171957 | − | 0.985105i | \(-0.555009\pi\) | ||||
−0.171957 | + | 0.985105i | \(0.555009\pi\) | |||||||
\(450\) | 17.5876 | − | 10.3817i | 0.829088 | − | 0.489398i | ||||
\(451\) | 1.04631 | − | 1.81226i | 0.0492688 | − | 0.0853361i | ||||
\(452\) | − | 0.876057i | − | 0.0412063i | ||||||
\(453\) | −5.10044 | − | 7.51017i | −0.239640 | − | 0.352858i | ||||
\(454\) | −8.50064 | + | 14.7235i | −0.398955 | + | 0.691010i | ||||
\(455\) | −14.2421 | − | 4.30717i | −0.667678 | − | 0.201923i | ||||
\(456\) | 0.920020 | + | 0.445113i | 0.0430839 | + | 0.0208443i | ||||
\(457\) | −20.6044 | − | 11.8960i | −0.963833 | − | 0.556469i | −0.0664826 | − | 0.997788i | \(-0.521178\pi\) |
−0.897351 | + | 0.441318i | \(0.854511\pi\) | |||||||
\(458\) | 19.4943 | + | 11.2550i | 0.910908 | + | 0.525913i | ||||
\(459\) | −30.2303 | − | 9.50503i | −1.41103 | − | 0.443657i | ||||
\(460\) | −1.17581 | + | 0.575883i | −0.0548226 | + | 0.0268507i | ||||
\(461\) | 6.23874 | + | 10.8058i | 0.290567 | + | 0.503277i | 0.973944 | − | 0.226789i | \(-0.0728227\pi\) |
−0.683377 | + | 0.730066i | \(0.739489\pi\) | |||||||
\(462\) | −1.40550 | − | 3.61222i | −0.0653899 | − | 0.168056i | ||||
\(463\) | 2.21515 | + | 1.27892i | 0.102947 | + | 0.0594364i | 0.550590 | − | 0.834776i | \(-0.314403\pi\) |
−0.447643 | + | 0.894213i | \(0.647736\pi\) | |||||||
\(464\) | −2.19501 | −0.101901 | ||||||||
\(465\) | 13.5016 | − | 23.6481i | 0.626122 | − | 1.09666i | ||||
\(466\) | −15.7432 | −0.729289 | ||||||||
\(467\) | −15.7910 | + | 9.11692i | −0.730719 | + | 0.421881i | −0.818685 | − | 0.574243i | \(-0.805297\pi\) |
0.0879663 | + | 0.996123i | \(0.471963\pi\) | |||||||
\(468\) | 1.02541 | + | 0.406735i | 0.0473994 | + | 0.0188013i | ||||
\(469\) | −23.2117 | + | 24.9603i | −1.07181 | + | 1.15256i | ||||
\(470\) | 2.06561 | + | 4.21748i | 0.0952797 | + | 0.194538i | ||||
\(471\) | −15.2940 | − | 7.39935i | −0.704709 | − | 0.340944i | ||||
\(472\) | 34.8369 | − | 20.1131i | 1.60350 | − | 0.925779i | ||||
\(473\) | 4.43538 | − | 2.56077i | 0.203939 | − | 0.117744i | ||||
\(474\) | 33.1344 | + | 16.0307i | 1.52191 | + | 0.736314i | ||||
\(475\) | −0.381308 | − | 0.934887i | −0.0174956 | − | 0.0428956i | ||||
\(476\) | −0.692833 | − | 2.25504i | −0.0317559 | − | 0.103360i | ||||
\(477\) | 5.88959 | − | 4.66198i | 0.269666 | − | 0.213457i | ||||
\(478\) | 9.38333 | − | 5.41747i | 0.429184 | − | 0.247789i | ||||
\(479\) | 6.46962 | 0.295604 | 0.147802 | − | 0.989017i | \(-0.452780\pi\) | ||||
0.147802 | + | 0.989017i | \(0.452780\pi\) | |||||||
\(480\) | −2.77602 | − | 1.58493i | −0.126707 | − | 0.0723419i | ||||
\(481\) | −16.4762 | −0.751248 | ||||||||
\(482\) | −1.90107 | − | 1.09759i | −0.0865916 | − | 0.0499937i | ||||
\(483\) | −11.4845 | + | 14.3149i | −0.522561 | + | 0.651349i | ||||
\(484\) | 0.775915 | + | 1.34392i | 0.0352688 | + | 0.0610874i | ||||
\(485\) | 2.13797 | − | 1.04712i | 0.0970802 | − | 0.0475474i | ||||
\(486\) | −13.3829 | + | 16.4733i | −0.607061 | + | 0.747245i | ||||
\(487\) | 10.1016 | + | 5.83216i | 0.457747 | + | 0.264280i | 0.711096 | − | 0.703095i | \(-0.248199\pi\) |
−0.253350 | + | 0.967375i | \(0.581532\pi\) | |||||||
\(488\) | 16.8608 | + | 9.73459i | 0.763253 | + | 0.440664i | ||||
\(489\) | −2.15516 | − | 1.04268i | −0.0974597 | − | 0.0471518i | ||||
\(490\) | 21.3113 | − | 0.0938043i | 0.962746 | − | 0.00423765i | ||||
\(491\) | −6.24877 | + | 10.8232i | −0.282003 | + | 0.488444i | −0.971878 | − | 0.235485i | \(-0.924332\pi\) |
0.689875 | + | 0.723929i | \(0.257666\pi\) | |||||||
\(492\) | −0.479254 | − | 0.705679i | −0.0216064 | − | 0.0318145i | ||||
\(493\) | − | 3.63151i | − | 0.163555i | ||||||
\(494\) | −0.345739 | + | 0.598837i | −0.0155555 | + | 0.0269430i | ||||
\(495\) | 1.79680 | − | 3.76002i | 0.0807602 | − | 0.169000i | ||||
\(496\) | 25.9178 | 1.16375 | ||||||||
\(497\) | −22.1681 | + | 6.81085i | −0.994374 | + | 0.305508i | ||||
\(498\) | −11.2729 | − | 16.5989i | −0.505152 | − | 0.743813i | ||||
\(499\) | 38.3583 | 1.71715 | 0.858577 | − | 0.512684i | \(-0.171349\pi\) | ||||
0.858577 | + | 0.512684i | \(0.171349\pi\) | |||||||
\(500\) | 0.512804 | + | 1.55210i | 0.0229333 | + | 0.0694120i | ||||
\(501\) | −0.745119 | − | 10.1906i | −0.0332895 | − | 0.455283i | ||||
\(502\) | −17.4801 | − | 10.0921i | −0.780175 | − | 0.450434i | ||||
\(503\) | − | 7.04254i | − | 0.314012i | −0.987598 | − | 0.157006i | \(-0.949816\pi\) | ||
0.987598 | − | 0.157006i | \(-0.0501841\pi\) | |||||||
\(504\) | −23.1205 | − | 1.84288i | −1.02987 | − | 0.0820882i | ||||
\(505\) | 24.3658 | + | 1.66348i | 1.08426 | + | 0.0740240i | ||||
\(506\) | 1.69367 | − | 2.93352i | 0.0752928 | − | 0.130411i | ||||
\(507\) | 5.03491 | − | 10.4068i | 0.223608 | − | 0.462183i | ||||
\(508\) | 0.800885 | − | 0.462391i | 0.0355335 | − | 0.0205153i | ||||
\(509\) | −30.3133 | −1.34361 | −0.671806 | − | 0.740727i | \(-0.734481\pi\) | ||||
−0.671806 | + | 0.740727i | \(0.734481\pi\) | |||||||
\(510\) | −15.9452 | + | 27.9281i | −0.706065 | + | 1.23668i | ||||
\(511\) | 3.05395 | + | 0.700631i | 0.135099 | + | 0.0309941i | ||||
\(512\) | − | 24.5858i | − | 1.08655i | ||||||
\(513\) | 0.709493 | + | 0.773035i | 0.0313249 | + | 0.0341303i | ||||
\(514\) | 15.3256 | − | 26.5447i | 0.675983 | − | 1.17084i | ||||
\(515\) | −1.72448 | + | 25.2593i | −0.0759897 | + | 1.11306i | ||||
\(516\) | −0.152245 | − | 2.08218i | −0.00670222 | − | 0.0916628i | ||||
\(517\) | 0.829859 | + | 0.479119i | 0.0364971 | + | 0.0210716i | ||||
\(518\) | 22.5583 | − | 6.93074i | 0.991154 | − | 0.304519i | ||||
\(519\) | −2.30855 | − | 31.5728i | −0.101334 | − | 1.38589i | ||||
\(520\) | 9.16703 | − | 13.6391i | 0.402001 | − | 0.598114i | ||||
\(521\) | −4.69553 | + | 8.13289i | −0.205715 | + | 0.356308i | −0.950360 | − | 0.311152i | \(-0.899285\pi\) |
0.744645 | + | 0.667460i | \(0.232619\pi\) | |||||||
\(522\) | −2.26088 | − | 0.896797i | −0.0989561 | − | 0.0392518i | ||||
\(523\) | 12.0758 | − | 6.97198i | 0.528039 | − | 0.304864i | −0.212178 | − | 0.977231i | \(-0.568056\pi\) |
0.740218 | + | 0.672367i | \(0.234722\pi\) | |||||||
\(524\) | −1.28131 | − | 2.21929i | −0.0559741 | − | 0.0969500i | ||||
\(525\) | 15.7576 | + | 16.6343i | 0.687717 | + | 0.725979i | ||||
\(526\) | 8.84668 | − | 15.3229i | 0.385734 | − | 0.668110i | ||||
\(527\) | 42.8795i | 1.86786i | ||||||||
\(528\) | 3.95576 | − | 0.289238i | 0.172152 | − | 0.0125875i | ||||
\(529\) | 6.96151 | 0.302674 | ||||||||
\(530\) | −3.35291 | − | 6.84584i | −0.145641 | − | 0.297364i | ||||
\(531\) | 40.8586 | − | 6.00713i | 1.77311 | − | 0.260687i | ||||
\(532\) | −0.0174664 | + | 0.0761336i | −0.000757267 | + | 0.00330081i | ||||
\(533\) | 7.33699 | − | 4.23601i | 0.317800 | − | 0.183482i | ||||
\(534\) | −7.79787 | + | 5.29583i | −0.337447 | + | 0.229173i | ||||
\(535\) | −33.3443 | + | 16.3312i | −1.44160 | + | 0.706058i | ||||
\(536\) | −18.8230 | − | 32.6023i | −0.813028 | − | 1.40821i | ||||
\(537\) | 31.9164 | − | 2.33367i | 1.37729 | − | 0.100705i | ||||
\(538\) | −9.36711 | + | 5.40811i | −0.403845 | + | 0.233160i | ||||
\(539\) | 3.59840 | − | 2.44160i | 0.154994 | − | 0.105167i | ||||
\(540\) | −1.06074 | − | 1.32686i | −0.0456471 | − | 0.0570990i | ||||
\(541\) | −15.4984 | − | 26.8440i | −0.666328 | − | 1.15411i | −0.978923 | − | 0.204228i | \(-0.934532\pi\) |
0.312595 | − | 0.949886i | \(-0.398802\pi\) | |||||||
\(542\) | − | 7.76995i | − | 0.333748i | ||||||
\(543\) | 19.9322 | + | 29.3493i | 0.855373 | + | 1.25950i | ||||
\(544\) | 5.03355 | 0.215812 | ||||||||
\(545\) | −6.46167 | + | 9.61396i | −0.276788 | + | 0.411817i | ||||
\(546\) | 2.38422 | − | 15.5100i | 0.102035 | − | 0.663767i | ||||
\(547\) | −17.9331 | + | 10.3537i | −0.766764 | + | 0.442691i | −0.831719 | − | 0.555197i | \(-0.812643\pi\) |
0.0649551 | + | 0.997888i | \(0.479310\pi\) | |||||||
\(548\) | 1.78065 | − | 1.02806i | 0.0760658 | − | 0.0439166i | ||||
\(549\) | 12.4055 | + | 15.6722i | 0.529456 | + | 0.668874i | ||||
\(550\) | −3.34113 | − | 2.59269i | −0.142466 | − | 0.110553i | ||||
\(551\) | −0.0601216 | + | 0.104134i | −0.00256126 | + | 0.00443624i | ||||
\(552\) | −11.3879 | − | 16.7682i | −0.484701 | − | 0.713700i | ||||
\(553\) | −9.23414 | + | 40.2502i | −0.392675 | + | 1.71161i | ||||
\(554\) | −8.42261 | + | 14.5884i | −0.357842 | + | 0.619801i | ||||
\(555\) | 22.0339 | + | 12.5800i | 0.935288 | + | 0.533991i | ||||
\(556\) | −1.95483 | −0.0829033 | ||||||||
\(557\) | −0.264013 | − | 0.152428i | −0.0111866 | − | 0.00645859i | 0.494396 | − | 0.869237i | \(-0.335389\pi\) |
−0.505583 | + | 0.862778i | \(0.668723\pi\) | |||||||
\(558\) | 26.6956 | + | 10.5890i | 1.13012 | + | 0.448270i | ||||
\(559\) | 20.7346 | 0.876982 | ||||||||
\(560\) | −6.31292 | + | 20.8742i | −0.266769 | + | 0.882097i | ||||
\(561\) | 0.478527 | + | 6.54456i | 0.0202034 | + | 0.276312i | ||||
\(562\) | 26.2650i | 1.10792i | ||||||||
\(563\) | 12.4984 | − | 7.21597i | 0.526746 | − | 0.304117i | −0.212945 | − | 0.977064i | \(-0.568305\pi\) |
0.739690 | + | 0.672948i | \(0.234972\pi\) | |||||||
\(564\) | 0.323140 | − | 0.219456i | 0.0136066 | − | 0.00924078i | ||||
\(565\) | −11.1202 | − | 7.47403i | −0.467830 | − | 0.314435i | ||||
\(566\) | 6.32329 | 0.265788 | ||||||||
\(567\) | −21.3665 | − | 10.5106i | −0.897309 | − | 0.441403i | ||||
\(568\) | − | 25.6134i | − | 1.07472i | ||||||
\(569\) | −0.101351 | + | 0.175545i | −0.00424885 | + | 0.00735922i | −0.868142 | − | 0.496316i | \(-0.834686\pi\) |
0.863893 | + | 0.503675i | \(0.168019\pi\) | |||||||
\(570\) | 0.919593 | − | 0.536857i | 0.0385175 | − | 0.0224865i | ||||
\(571\) | 16.5797 | + | 28.7168i | 0.693838 | + | 1.20176i | 0.970571 | + | 0.240815i | \(0.0774148\pi\) |
−0.276733 | + | 0.960947i | \(0.589252\pi\) | |||||||
\(572\) | − | 0.228429i | − | 0.00955108i | ||||||
\(573\) | 10.0755 | − | 0.736704i | 0.420911 | − | 0.0307763i | ||||
\(574\) | −8.26352 | + | 8.88604i | −0.344913 | + | 0.370896i | ||||
\(575\) | −2.72144 | + | 19.8382i | −0.113492 | + | 0.827312i | ||||
\(576\) | 9.39792 | − | 23.6927i | 0.391580 | − | 0.987198i | ||||
\(577\) | 12.7694 | + | 7.37241i | 0.531596 | + | 0.306917i | 0.741666 | − | 0.670769i | \(-0.234036\pi\) |
−0.210070 | + | 0.977686i | \(0.567369\pi\) | |||||||
\(578\) | − | 27.4939i | − | 1.14359i | ||||||
\(579\) | −11.2919 | − | 5.46312i | −0.469275 | − | 0.227039i | ||||
\(580\) | 0.108593 | − | 0.161569i | 0.00450907 | − | 0.00670879i | ||||
\(581\) | 15.3298 | − | 16.4846i | 0.635987 | − | 0.683898i | ||||
\(582\) | 1.41058 | + | 2.07701i | 0.0584703 | + | 0.0860948i | ||||
\(583\) | −1.34703 | − | 0.777708i | −0.0557883 | − | 0.0322094i | ||||
\(584\) | −1.73031 | + | 2.99698i | −0.0716005 | + | 0.124016i | ||||
\(585\) | 13.9111 | − | 9.54589i | 0.575151 | − | 0.394674i | ||||
\(586\) | 20.6557 | + | 35.7768i | 0.853280 | + | 1.47792i | ||||
\(587\) | 9.38322 | − | 5.41741i | 0.387287 | − | 0.223600i | −0.293697 | − | 0.955899i | \(-0.594886\pi\) |
0.680984 | + | 0.732298i | \(0.261552\pi\) | |||||||
\(588\) | −0.257107 | − | 1.75389i | −0.0106029 | − | 0.0723293i | ||||
\(589\) | 0.709892 | − | 1.22957i | 0.0292506 | − | 0.0506635i | ||||
\(590\) | 2.85463 | − | 41.8131i | 0.117523 | − | 1.72142i | ||||
\(591\) | −21.7899 | + | 14.7983i | −0.896315 | + | 0.608722i | ||||
\(592\) | 24.1487i | 0.992505i | ||||||||
\(593\) | −3.46118 | + | 1.99831i | −0.142134 | + | 0.0820608i | −0.569380 | − | 0.822074i | \(-0.692817\pi\) |
0.427247 | + | 0.904135i | \(0.359484\pi\) | |||||||
\(594\) | 4.19264 | + | 1.31825i | 0.172026 | + | 0.0540886i | ||||
\(595\) | −34.5352 | − | 10.4443i | −1.41580 | − | 0.428176i | ||||
\(596\) | −1.53213 | − | 2.65373i | −0.0627585 | − | 0.108701i | ||||
\(597\) | −2.66812 | + | 0.195088i | −0.109199 | + | 0.00798441i | ||||
\(598\) | 11.8764 | − | 6.85686i | 0.485664 | − | 0.280398i | ||||
\(599\) | −1.16483 | − | 2.01754i | −0.0475935 | − | 0.0824344i | 0.841247 | − | 0.540651i | \(-0.181822\pi\) |
−0.888841 | + | 0.458216i | \(0.848489\pi\) | |||||||
\(600\) | −22.6731 | + | 11.2406i | −0.925626 | + | 0.458896i | ||||
\(601\) | −9.73443 | − | 16.8605i | −0.397076 | − | 0.687755i | 0.596288 | − | 0.802771i | \(-0.296642\pi\) |
−0.993364 | + | 0.115015i | \(0.963308\pi\) | |||||||
\(602\) | −28.3888 | + | 8.72208i | −1.15704 | + | 0.355485i | ||||
\(603\) | −5.62182 | − | 38.2378i | −0.228938 | − | 1.55717i | ||||
\(604\) | 0.383159 | + | 0.663651i | 0.0155905 | + | 0.0270036i | ||||
\(605\) | 23.6787 | + | 1.61657i | 0.962676 | + | 0.0657230i | ||||
\(606\) | 1.87830 | + | 25.6885i | 0.0763007 | + | 1.04353i | ||||
\(607\) | − | 16.6627i | − | 0.676318i | −0.941089 | − | 0.338159i | \(-0.890196\pi\) | ||
0.941089 | − | 0.338159i | \(-0.109804\pi\) | |||||||
\(608\) | −0.144337 | − | 0.0833331i | −0.00585364 | − | 0.00337960i | ||||
\(609\) | 0.414599 | − | 2.69708i | 0.0168004 | − | 0.109291i | ||||
\(610\) | 18.2168 | − | 8.92211i | 0.737577 | − | 0.361246i | ||||
\(611\) | 1.93972 | + | 3.35970i | 0.0784728 | + | 0.135919i | ||||
\(612\) | 2.48648 | + | 0.986281i | 0.100510 | + | 0.0398680i | ||||
\(613\) | −24.0303 | − | 13.8739i | −0.970573 | − | 0.560361i | −0.0711621 | − | 0.997465i | \(-0.522671\pi\) |
−0.899411 | + | 0.437104i | \(0.856004\pi\) | |||||||
\(614\) | 3.49209 | − | 6.04848i | 0.140929 | − | 0.244097i | ||||
\(615\) | −13.0462 | + | 0.0629214i | −0.526074 | + | 0.00253724i | ||||
\(616\) | 1.41053 | + | 4.59103i | 0.0568321 | + | 0.184978i | ||||
\(617\) | −3.67819 | − | 2.12360i | −0.148078 | − | 0.0854931i | 0.424130 | − | 0.905601i | \(-0.360580\pi\) |
−0.572209 | + | 0.820108i | \(0.693913\pi\) | |||||||
\(618\) | −26.6305 | + | 1.94717i | −1.07124 | + | 0.0783268i | ||||
\(619\) | 31.7725 | 1.27705 | 0.638523 | − | 0.769603i | \(-0.279546\pi\) | ||||
0.638523 | + | 0.769603i | \(0.279546\pi\) | |||||||
\(620\) | −1.28222 | + | 1.90775i | −0.0514953 | + | 0.0766169i | ||||
\(621\) | −4.52025 | − | 20.3127i | −0.181391 | − | 0.815121i | ||||
\(622\) | − | 11.2740i | − | 0.452044i | ||||||
\(623\) | −7.74421 | − | 7.20168i | −0.310265 | − | 0.288529i | ||||
\(624\) | 14.4549 | + | 6.99338i | 0.578658 | + | 0.279959i | ||||
\(625\) | 24.0764 | + | 6.73239i | 0.963058 | + | 0.269296i | ||||
\(626\) | 13.8117 | + | 23.9225i | 0.552026 | + | 0.956137i | ||||
\(627\) | 0.0946269 | − | 0.195588i | 0.00377903 | − | 0.00781102i | ||||
\(628\) | 1.24200 | + | 0.717069i | 0.0495612 | + | 0.0286142i | ||||
\(629\) | −39.9526 | −1.59301 | ||||||||
\(630\) | −15.0308 | + | 18.9214i | −0.598841 | + | 0.753848i | ||||
\(631\) | −11.3375 | −0.451340 | −0.225670 | − | 0.974204i | \(-0.572457\pi\) | ||||
−0.225670 | + | 0.974204i | \(0.572457\pi\) | |||||||
\(632\) | −39.4994 | − | 22.8050i | −1.57120 | − | 0.907133i | ||||
\(633\) | −31.0434 | + | 2.26984i | −1.23386 | + | 0.0902179i | ||||
\(634\) | 16.1670 | + | 28.0020i | 0.642072 | + | 1.11210i | ||||
\(635\) | 0.963364 | − | 14.1109i | 0.0382299 | − | 0.559972i | ||||
\(636\) | −0.524521 | + | 0.356222i | −0.0207986 | + | 0.0141251i | ||||
\(637\) | 17.5589 | − | 1.27643i | 0.695707 | − | 0.0505742i | ||||
\(638\) | 0.503655i | 0.0199399i | ||||||||
\(639\) | 9.69557 | − | 24.4431i | 0.383551 | − | 0.966956i | ||||
\(640\) | −18.4048 | − | 12.3701i | −0.727512 | − | 0.488971i | ||||
\(641\) | 13.0143 | 0.514036 | 0.257018 | − | 0.966407i | \(-0.417260\pi\) | ||||
0.257018 | + | 0.966407i | \(0.417260\pi\) | |||||||
\(642\) | −21.9997 | − | 32.3935i | −0.868258 | − | 1.27847i | ||||
\(643\) | 39.0292 | + | 22.5335i | 1.53916 | + | 0.888635i | 0.998888 | + | 0.0471444i | \(0.0150121\pi\) |
0.540272 | + | 0.841490i | \(0.318321\pi\) | |||||||
\(644\) | 1.05495 | − | 1.13443i | 0.0415710 | − | 0.0447027i | ||||
\(645\) | −27.7289 | − | 15.8315i | −1.09182 | − | 0.623363i | ||||
\(646\) | −0.838372 | + | 1.45210i | −0.0329853 | + | 0.0571322i | ||||
\(647\) | 15.7349 | + | 9.08453i | 0.618602 | + | 0.357150i | 0.776324 | − | 0.630334i | \(-0.217082\pi\) |
−0.157723 | + | 0.987483i | \(0.550415\pi\) | |||||||
\(648\) | 18.0273 | − | 19.1486i | 0.708179 | − | 0.752230i | ||||
\(649\) | −4.27585 | − | 7.40599i | −0.167842 | − | 0.290711i | ||||
\(650\) | −6.46614 | − | 15.8536i | −0.253623 | − | 0.621830i | ||||
\(651\) | −4.89543 | + | 31.8461i | −0.191867 | + | 1.24815i | ||||
\(652\) | 0.175017 | + | 0.101046i | 0.00685421 | + | 0.00395728i | ||||
\(653\) | 34.4395i | 1.34772i | 0.738859 | + | 0.673860i | \(0.235365\pi\) | ||||
−0.738859 | + | 0.673860i | \(0.764635\pi\) | |||||||
\(654\) | −10.9972 | − | 5.32054i | −0.430025 | − | 0.208050i | ||||
\(655\) | −39.1018 | − | 2.66952i | −1.52783 | − | 0.104307i | ||||
\(656\) | −6.20862 | − | 10.7536i | −0.242406 | − | 0.419859i | ||||
\(657\) | −2.78571 | + | 2.20506i | −0.108681 | + | 0.0860277i | ||||
\(658\) | −4.06903 | − | 3.78397i | −0.158627 | − | 0.147515i | ||||
\(659\) | 20.7037 | + | 35.8598i | 0.806501 | + | 1.39690i | 0.915273 | + | 0.402834i | \(0.131975\pi\) |
−0.108772 | + | 0.994067i | \(0.534692\pi\) | |||||||
\(660\) | −0.174412 | + | 0.305483i | −0.00678896 | + | 0.0118909i | ||||
\(661\) | −15.5052 | − | 26.8558i | −0.603083 | − | 1.04457i | −0.992351 | − | 0.123447i | \(-0.960605\pi\) |
0.389268 | − | 0.921125i | \(-0.372728\pi\) | |||||||
\(662\) | −32.3265 | + | 18.6637i | −1.25640 | + | 0.725385i | ||||
\(663\) | −11.5701 | + | 23.9147i | −0.449347 | + | 0.928770i | ||||
\(664\) | 12.4313 | + | 21.5317i | 0.482430 | + | 0.835593i | ||||
\(665\) | 0.817384 | + | 0.871239i | 0.0316968 | + | 0.0337852i | ||||
\(666\) | −9.86624 | + | 24.8734i | −0.382309 | + | 0.963825i | ||||
\(667\) | 2.06523 | − | 1.19236i | 0.0799660 | − | 0.0461684i | ||||
\(668\) | 0.862500i | 0.0333711i | ||||||||
\(669\) | 43.4574 | + | 21.0251i | 1.68016 | + | 0.812876i | ||||
\(670\) | −39.1311 | − | 2.67152i | −1.51177 | − | 0.103210i | ||||
\(671\) | 2.06948 | − | 3.58445i | 0.0798916 | − | 0.138376i | ||||
\(672\) | 3.73836 | + | 0.574666i | 0.144210 | + | 0.0221682i | ||||
\(673\) | 22.6091 | − | 13.0533i | 0.871515 | − | 0.503169i | 0.00366358 | − | 0.999993i | \(-0.498834\pi\) |
0.867851 | + | 0.496824i | \(0.165501\pi\) | |||||||
\(674\) | 3.75177 | + | 6.49825i | 0.144513 | + | 0.250303i | ||||
\(675\) | −25.8921 | + | 2.14446i | −0.996588 | + | 0.0825401i | ||||
\(676\) | −0.487932 | + | 0.845122i | −0.0187666 | + | 0.0325047i | ||||
\(677\) | 12.7724 | + | 7.37415i | 0.490883 | + | 0.283412i | 0.724941 | − | 0.688811i | \(-0.241867\pi\) |
−0.234058 | + | 0.972223i | \(0.575200\pi\) | |||||||
\(678\) | 6.15412 | − | 12.7202i | 0.236348 | − | 0.488515i | ||||
\(679\) | −1.91821 | + | 2.06272i | −0.0736142 | + | 0.0791598i | ||||
\(680\) | 22.2289 | − | 33.0731i | 0.852438 | − | 1.26829i | ||||
\(681\) | 17.8917 | − | 12.1510i | 0.685613 | − | 0.465626i | ||||
\(682\) | − | 5.94696i | − | 0.227721i | ||||||
\(683\) | −8.69914 | − | 5.02245i | −0.332863 | − | 0.192179i | 0.324248 | − | 0.945972i | \(-0.394889\pi\) |
−0.657112 | + | 0.753793i | \(0.728222\pi\) | |||||||
\(684\) | −0.0549713 | − | 0.0694465i | −0.00210188 | − | 0.00265535i | ||||
\(685\) | 2.14190 | − | 31.3735i | 0.0818380 | − | 1.19872i | ||||
\(686\) | −23.5037 | + | 9.13381i | −0.897377 | + | 0.348730i | ||||
\(687\) | −16.0881 | − | 23.6890i | −0.613800 | − | 0.903793i | ||||
\(688\) | − | 30.3902i | − | 1.15862i | ||||||
\(689\) | −3.14857 | − | 5.45348i | −0.119951 | − | 0.207761i | ||||
\(690\) | −21.1180 | + | 0.101851i | −0.803949 | + | 0.00387741i | ||||
\(691\) | 17.5582 | − | 30.4117i | 0.667946 | − | 1.15692i | −0.310531 | − | 0.950563i | \(-0.600507\pi\) |
0.978478 | − | 0.206353i | \(-0.0661597\pi\) | |||||||
\(692\) | 2.67222i | 0.101582i | ||||||||
\(693\) | −0.391778 | + | 4.91520i | −0.0148824 | + | 0.186713i | ||||
\(694\) | 0.517909 | 0.0196595 | ||||||||
\(695\) | −16.6775 | + | 24.8136i | −0.632615 | + | 0.941232i | ||||
\(696\) | 2.71299 | + | 1.31257i | 0.102836 | + | 0.0497528i | ||||
\(697\) | 17.7913 | − | 10.2718i | 0.673892 | − | 0.389072i | ||||
\(698\) | − | 1.13615i | − | 0.0430039i | ||||||
\(699\) | 18.0282 | + | 8.72219i | 0.681889 | + | 0.329904i | ||||
\(700\) | −1.22418 | − | 1.49738i | −0.0462698 | − | 0.0565956i | ||||
\(701\) | −19.0065 | −0.717865 | −0.358933 | − | 0.933363i | \(-0.616859\pi\) | ||||
−0.358933 | + | 0.933363i | \(0.616859\pi\) | |||||||
\(702\) | 12.0314 | + | 13.1090i | 0.454097 | + | 0.494766i | ||||
\(703\) | 1.14564 | + | 0.661435i | 0.0432086 | + | 0.0249465i | ||||
\(704\) | −5.27801 | −0.198923 | ||||||||
\(705\) | −0.0288125 | − | 5.97403i | −0.00108514 | − | 0.224995i | ||||
\(706\) | 10.0029 | − | 17.3255i | 0.376464 | − | 0.652055i | ||||
\(707\) | −27.6228 | + | 8.48674i | −1.03886 | + | 0.319177i | ||||
\(708\) | −3.47673 | + | 0.254212i | −0.130663 | + | 0.00955387i | ||||
\(709\) | −10.2642 | + | 17.7781i | −0.385481 | + | 0.667672i | −0.991836 | − | 0.127522i | \(-0.959298\pi\) |
0.606355 | + | 0.795194i | \(0.292631\pi\) | |||||||
\(710\) | −22.1482 | − | 14.8861i | −0.831206 | − | 0.558665i | ||||
\(711\) | −29.0621 | − | 36.7149i | −1.08992 | − | 1.37692i | ||||
\(712\) | 10.1152 | − | 5.84004i | 0.379085 | − | 0.218865i | ||||
\(713\) | −24.3854 | + | 14.0789i | −0.913242 | + | 0.527260i | ||||
\(714\) | 5.78143 | − | 37.6098i | 0.216365 | − | 1.40751i | ||||
\(715\) | −2.89955 | − | 1.94883i | −0.108437 | − | 0.0728819i | ||||
\(716\) | −2.70130 | −0.100952 | ||||||||
\(717\) | −13.7467 | + | 1.00513i | −0.513380 | + | 0.0375374i | ||||
\(718\) | 27.0309i | 1.00878i | ||||||||
\(719\) | 21.9283 | + | 37.9809i | 0.817786 | + | 1.41645i | 0.907310 | + | 0.420463i | \(0.138132\pi\) |
−0.0895237 | + | 0.995985i | \(0.528534\pi\) | |||||||
\(720\) | −13.9912 | − | 20.3891i | −0.521420 | − | 0.759857i | ||||
\(721\) | −8.79794 | − | 28.6357i | −0.327653 | − | 1.06645i | ||||
\(722\) | −22.3554 | + | 12.9069i | −0.831981 | + | 0.480345i | ||||
\(723\) | 1.56891 | + | 2.31015i | 0.0583483 | + | 0.0859152i | ||||
\(724\) | −1.49736 | − | 2.59351i | −0.0556490 | − | 0.0963870i | ||||
\(725\) | −1.12442 | − | 2.75683i | −0.0417598 | − | 0.102386i | ||||
\(726\) | 1.82533 | + | 24.9641i | 0.0677444 | + | 0.926505i | ||||
\(727\) | −8.29739 | + | 4.79050i | −0.307733 | + | 0.177670i | −0.645912 | − | 0.763412i | \(-0.723523\pi\) |
0.338178 | + | 0.941082i | \(0.390189\pi\) | |||||||
\(728\) | −4.34794 | + | 18.9520i | −0.161145 | + | 0.702408i | ||||
\(729\) | 24.4521 | − | 11.4498i | 0.905631 | − | 0.424066i | ||||
\(730\) | 1.58589 | + | 3.23800i | 0.0586964 | + | 0.119844i | ||||
\(731\) | 50.2788 | 1.85963 | ||||||||
\(732\) | −0.947909 | − | 1.39575i | −0.0350357 | − | 0.0515885i | ||||
\(733\) | 40.1522i | 1.48306i | 0.670922 | + | 0.741528i | \(0.265899\pi\) | ||||
−0.670922 | + | 0.741528i | \(0.734101\pi\) | |||||||
\(734\) | 12.8556 | − | 22.2666i | 0.474510 | − | 0.821876i | ||||
\(735\) | −24.4564 | − | 11.6997i | −0.902090 | − | 0.431549i | ||||
\(736\) | 1.65270 | + | 2.86257i | 0.0609194 | + | 0.105516i | ||||
\(737\) | −6.93095 | + | 4.00159i | −0.255305 | + | 0.147400i | ||||
\(738\) | −2.00141 | − | 13.6130i | −0.0736729 | − | 0.501100i | ||||
\(739\) | −1.19273 | + | 2.06588i | −0.0438755 | + | 0.0759945i | −0.887129 | − | 0.461521i | \(-0.847304\pi\) |
0.843254 | + | 0.537516i | \(0.180637\pi\) | |||||||
\(740\) | −1.77752 | − | 1.19470i | −0.0653431 | − | 0.0439180i | ||||
\(741\) | 0.727694 | − | 0.494205i | 0.0267325 | − | 0.0181551i | ||||
\(742\) | 6.60487 | + | 6.14216i | 0.242473 | + | 0.225486i | ||||
\(743\) | −0.855753 | − | 0.494069i | −0.0313945 | − | 0.0181256i | 0.484221 | − | 0.874946i | \(-0.339103\pi\) |
−0.515615 | + | 0.856820i | \(0.672437\pi\) | |||||||
\(744\) | −32.0340 | − | 15.4983i | −1.17442 | − | 0.568195i | ||||
\(745\) | −46.7563 | − | 3.19210i | −1.71302 | − | 0.116950i | ||||
\(746\) | −3.68532 | + | 6.38317i | −0.134929 | + | 0.233704i | ||||
\(747\) | 3.71285 | + | 25.2536i | 0.135846 | + | 0.923981i | ||||
\(748\) | − | 0.553910i | − | 0.0202530i | ||||||
\(749\) | 29.9169 | − | 32.1706i | 1.09314 | − | 1.17549i | ||||
\(750\) | −3.45737 | + | 26.1385i | −0.126245 | + | 0.954442i | ||||
\(751\) | −26.9996 | −0.985230 | −0.492615 | − | 0.870247i | \(-0.663959\pi\) | ||||
−0.492615 | + | 0.870247i | \(0.663959\pi\) | |||||||
\(752\) | 4.92423 | − | 2.84301i | 0.179568 | − | 0.103674i | ||||
\(753\) | 14.4259 | + | 21.2414i | 0.525708 | + | 0.774081i | ||||
\(754\) | −1.01953 | + | 1.76588i | −0.0371291 | + | 0.0643094i | ||||
\(755\) | 11.6929 | + | 0.798290i | 0.425549 | + | 0.0290527i | ||||
\(756\) | 1.73408 | + | 1.01637i | 0.0630677 | + | 0.0369651i | ||||
\(757\) | − | 40.0695i | − | 1.45635i | −0.685391 | − | 0.728175i | \(-0.740369\pi\) | ||
0.685391 | − | 0.728175i | \(-0.259631\pi\) | |||||||
\(758\) | 42.5941 | + | 24.5917i | 1.54709 | + | 0.893211i | ||||
\(759\) | −3.56475 | + | 2.42096i | −0.129392 | + | 0.0878753i | ||||
\(760\) | −1.18496 | + | 0.580360i | −0.0429828 | + | 0.0210519i | ||||
\(761\) | 11.7722 | 0.426742 | 0.213371 | − | 0.976971i | \(-0.431556\pi\) | ||||
0.213371 | + | 0.976971i | \(0.431556\pi\) | |||||||
\(762\) | 14.8769 | − | 1.08777i | 0.538932 | − | 0.0394058i | ||||
\(763\) | 3.06478 | − | 13.3589i | 0.110953 | − | 0.483626i | ||||
\(764\) | −0.852759 | −0.0308517 | ||||||||
\(765\) | 33.7325 | − | 23.1476i | 1.21960 | − | 0.836902i | ||||
\(766\) | −23.6990 | + | 41.0479i | −0.856280 | + | 1.48312i | ||||
\(767\) | − | 34.6218i | − | 1.25012i | ||||||
\(768\) | −2.63240 | + | 5.44101i | −0.0949887 | + | 0.196335i | ||||
\(769\) | −16.4254 | + | 28.4496i | −0.592314 | + | 1.02592i | 0.401606 | + | 0.915813i | \(0.368452\pi\) |
−0.993920 | + | 0.110106i | \(0.964881\pi\) | |||||||
\(770\) | 4.78969 | + | 1.44853i | 0.172608 | + | 0.0522013i | ||||
\(771\) | −32.2565 | + | 21.9066i | −1.16169 | + | 0.788949i | ||||
\(772\) | 0.916998 | + | 0.529429i | 0.0330035 | + | 0.0190546i | ||||
\(773\) | −3.24032 | − | 1.87080i | −0.116546 | − | 0.0672879i | 0.440594 | − | 0.897707i | \(-0.354768\pi\) |
−0.557140 | + | 0.830419i | \(0.688101\pi\) | |||||||
\(774\) | 12.4163 | − | 31.3023i | 0.446295 | − | 1.12514i | ||||
\(775\) | 13.2767 | + | 32.5516i | 0.476912 | + | 1.16929i | ||||
\(776\) | −1.55553 | − | 2.69426i | −0.0558402 | − | 0.0967181i | ||||
\(777\) | −29.6723 | − | 4.56127i | −1.06449 | − | 0.163635i | ||||
\(778\) | 32.8066 | + | 18.9409i | 1.17617 | + | 0.679063i | ||||
\(779\) | −0.680219 | −0.0243714 | ||||||||
\(780\) | −1.22988 | + | 0.718005i | −0.0440369 | + | 0.0257087i | ||||
\(781\) | −5.44518 | −0.194844 | ||||||||
\(782\) | 28.7988 | − | 16.6270i | 1.02984 | − | 0.594581i | ||||
\(783\) | 2.09218 | + | 2.27956i | 0.0747685 | + | 0.0814647i | ||||
\(784\) | −1.87084 | − | 25.7356i | −0.0668157 | − | 0.919128i | ||||
\(785\) | 19.6981 | − | 9.64764i | 0.703057 | − | 0.344339i | ||||
\(786\) | −3.01426 | − | 41.2245i | −0.107515 | − | 1.47043i | ||||
\(787\) | −13.5507 | + | 7.82351i | −0.483031 | + | 0.278878i | −0.721679 | − | 0.692228i | \(-0.756629\pi\) |
0.238648 | + | 0.971106i | \(0.423296\pi\) | |||||||
\(788\) | 1.92551 | − | 1.11169i | 0.0685934 | − | 0.0396024i | ||||
\(789\) | −18.6201 | + | 12.6456i | −0.662892 | + | 0.450195i | ||||
\(790\) | −42.6760 | + | 20.9016i | −1.51834 | + | 0.743646i | ||||
\(791\) | 15.4519 | + | 3.54495i | 0.549406 | + | 0.126044i | ||||
\(792\) | −5.06220 | − | 2.00796i | −0.179878 | − | 0.0713499i | ||||
\(793\) | 14.5117 | − | 8.37835i | 0.515327 | − | 0.297524i | ||||
\(794\) | −35.6237 | −1.26424 | ||||||||
\(795\) | 0.0467686 | + | 9.69708i | 0.00165871 | + | 0.343920i | ||||
\(796\) | 0.225821 | 0.00800400 | ||||||||
\(797\) | 1.28952 | + | 0.744503i | 0.0456771 | + | 0.0263717i | 0.522665 | − | 0.852538i | \(-0.324938\pi\) |
−0.476988 | + | 0.878910i | \(0.658271\pi\) | |||||||
\(798\) | −0.788432 | + | 0.982745i | −0.0279102 | + | 0.0347888i | ||||
\(799\) | 4.70358 | + | 8.14684i | 0.166401 | + | 0.288215i | ||||
\(800\) | 3.82118 | − | 1.55853i | 0.135099 | − | 0.0551022i | ||||
\(801\) | 11.8637 | − | 1.74423i | 0.419184 | − | 0.0616294i | ||||
\(802\) | 13.9069 | + | 8.02914i | 0.491069 | + | 0.283519i | ||||
\(803\) | 0.637129 | + | 0.367847i | 0.0224838 | + | 0.0129810i | ||||
\(804\) | 0.237906 | + | 3.25372i | 0.00839030 | + | 0.114750i | ||||
\(805\) | −5.39952 | − | 23.0693i | −0.190308 | − | 0.813086i | ||||
\(806\) | 12.0382 | − | 20.8508i | 0.424028 | − | 0.734438i | ||||
\(807\) | 13.7229 | − | 1.00340i | 0.483070 | − | 0.0353212i | ||||
\(808\) | − | 31.9159i | − | 1.12280i | ||||||
\(809\) | −17.6030 | + | 30.4893i | −0.618889 | + | 1.07195i | 0.370800 | + | 0.928713i | \(0.379083\pi\) |
−0.989689 | + | 0.143234i | \(0.954250\pi\) | |||||||
\(810\) | −6.08084 | − | 26.7172i | −0.213659 | − | 0.938748i | ||||
\(811\) | −26.5990 | −0.934017 | −0.467008 | − | 0.884253i | \(-0.654668\pi\) | ||||
−0.467008 | + | 0.884253i | \(0.654668\pi\) | |||||||
\(812\) | −0.0515058 | + | 0.224506i | −0.00180750 | + | 0.00787861i | ||||
\(813\) | −4.30478 | + | 8.89771i | −0.150975 | + | 0.312056i | ||||
\(814\) | 5.54103 | 0.194213 | ||||||||
\(815\) | 2.77578 | − | 1.35950i | 0.0972312 | − | 0.0476213i | ||||
\(816\) | 35.0512 | + | 16.9581i | 1.22704 | + | 0.593651i | ||||
\(817\) | −1.44175 | − | 0.832392i | −0.0504403 | − | 0.0291217i | ||||
\(818\) | 45.2568i | 1.58237i | ||||||||
\(819\) | −11.3233 | + | 16.4402i | −0.395667 | + | 0.574468i | ||||
\(820\) | 1.09870 | + | 0.0750098i | 0.0383684 | + | 0.00261946i | ||||
\(821\) | −10.8684 | + | 18.8247i | −0.379311 | + | 0.656986i | −0.990962 | − | 0.134142i | \(-0.957172\pi\) |
0.611651 | + | 0.791127i | \(0.290506\pi\) | |||||||
\(822\) | 33.0766 | − | 2.41850i | 1.15368 | − | 0.0843550i | ||||
\(823\) | −18.5115 | + | 10.6876i | −0.645270 | + | 0.372547i | −0.786642 | − | 0.617410i | \(-0.788182\pi\) |
0.141372 | + | 0.989957i | \(0.454849\pi\) | |||||||
\(824\) | 33.0863 | 1.15261 | ||||||||
\(825\) | 2.38965 | + | 4.82009i | 0.0831968 | + | 0.167814i | ||||
\(826\) | 14.5637 | + | 47.4023i | 0.506737 | + | 1.64934i | ||||
\(827\) | 15.4869i | 0.538531i | 0.963066 | + | 0.269265i | \(0.0867809\pi\) | ||||
−0.963066 | + | 0.269265i | \(0.913219\pi\) | |||||||
\(828\) | 0.255508 | + | 1.73788i | 0.00887951 | + | 0.0603956i | ||||
\(829\) | 19.1032 | − | 33.0877i | 0.663481 | − | 1.14918i | −0.316213 | − | 0.948688i | \(-0.602411\pi\) |
0.979695 | − | 0.200495i | \(-0.0642552\pi\) | |||||||
\(830\) | 25.8435 | + | 1.76437i | 0.897043 | + | 0.0612421i | ||||
\(831\) | 17.7275 | − | 12.0394i | 0.614960 | − | 0.417643i | ||||
\(832\) | −18.5054 | − | 10.6841i | −0.641558 | − | 0.370404i | ||||
\(833\) | 42.5780 | − | 3.09519i | 1.47524 | − | 0.107242i | ||||
\(834\) | −28.3837 | − | 13.7323i | −0.982848 | − | 0.475510i | ||||
\(835\) | 10.9481 | + | 7.35837i | 0.378875 | + | 0.254647i | ||||
\(836\) | −0.00917027 | + | 0.0158834i | −0.000317160 | + | 0.000549338i | ||||
\(837\) | −24.7037 | − | 26.9161i | −0.853884 | − | 0.930358i | ||||
\(838\) | −17.8507 | + | 10.3061i | −0.616641 | + | 0.356018i | ||||
\(839\) | 3.17437 | + | 5.49817i | 0.109591 | + | 0.189818i | 0.915605 | − | 0.402079i | \(-0.131712\pi\) |
−0.806013 | + | 0.591897i | \(0.798379\pi\) | |||||||
\(840\) | 20.2850 | − | 22.0252i | 0.699898 | − | 0.759941i | ||||
\(841\) | 14.3227 | − | 24.8077i | 0.493887 | − | 0.855437i | ||||
\(842\) | 0.318552i | 0.0109780i | ||||||||
\(843\) | 14.5516 | − | 30.0772i | 0.501183 | − | 1.03591i | ||||
\(844\) | 2.62741 | 0.0904392 | ||||||||
\(845\) | 6.56476 | + | 13.4036i | 0.225834 | + | 0.461099i | ||||
\(846\) | 6.23355 | − | 0.916472i | 0.214314 | − | 0.0315089i | ||||
\(847\) | −26.8438 | + | 8.24742i | −0.922365 | + | 0.283385i | ||||
\(848\) | −7.99303 | + | 4.61478i | −0.274482 | + | 0.158472i | ||||
\(849\) | −7.24107 | − | 3.50329i | −0.248513 | − | 0.120233i | ||||
\(850\) | −15.6796 | − | 38.4430i | −0.537804 | − | 1.31858i | ||||
\(851\) | −13.1179 | − | 22.7209i | −0.449676 | − | 0.778862i | ||||
\(852\) | −0.966699 | + | 1.99810i | −0.0331186 | + | 0.0684539i | ||||
\(853\) | 0.907008 | − | 0.523661i | 0.0310554 | − | 0.0179298i | −0.484392 | − | 0.874851i | \(-0.660959\pi\) |
0.515447 | + | 0.856921i | \(0.327626\pi\) | |||||||
\(854\) | −16.3443 | + | 17.5756i | −0.559291 | + | 0.601424i | ||||
\(855\) | −1.35050 | + | 0.105297i | −0.0461861 | + | 0.00360107i | ||||
\(856\) | 24.2604 | + | 42.0202i | 0.829203 | + | 1.43622i | ||||
\(857\) | − | 22.6370i | − | 0.773264i | −0.922234 | − | 0.386632i | \(-0.873638\pi\) | ||
0.922234 | − | 0.386632i | \(-0.126362\pi\) | |||||||
\(858\) | 1.60466 | − | 3.31673i | 0.0547823 | − | 0.113231i | ||||
\(859\) | −12.9486 | −0.441802 | −0.220901 | − | 0.975296i | \(-0.570900\pi\) | ||||
−0.220901 | + | 0.975296i | \(0.570900\pi\) | |||||||
\(860\) | 2.23695 | + | 1.50348i | 0.0762793 | + | 0.0512684i | ||||
\(861\) | 14.3861 | − | 5.59755i | 0.490275 | − | 0.190764i | ||||
\(862\) | −1.28357 | + | 0.741071i | −0.0437187 | + | 0.0252410i | ||||
\(863\) | 16.5213 | − | 9.53859i | 0.562392 | − | 0.324697i | −0.191713 | − | 0.981451i | \(-0.561404\pi\) |
0.754105 | + | 0.656754i | \(0.228071\pi\) | |||||||
\(864\) | −3.15964 | + | 2.89992i | −0.107493 | + | 0.0986574i | ||||
\(865\) | 33.9196 | + | 22.7979i | 1.15330 | + | 0.775150i | ||||
\(866\) | 18.0581 | − | 31.2775i | 0.613639 | − | 1.06285i | ||||
\(867\) | −15.2324 | + | 31.4844i | −0.517320 | + | 1.06927i | ||||
\(868\) | 0.608161 | − | 2.65088i | 0.0206423 | − | 0.0899767i | ||||
\(869\) | −4.84813 | + | 8.39720i | −0.164461 | + | 0.284855i | ||||
\(870\) | 2.71173 | − | 1.58311i | 0.0919364 | − | 0.0536723i | ||||
\(871\) | −32.4010 | −1.09787 | ||||||||
\(872\) | 13.1097 | + | 7.56891i | 0.443952 | + | 0.256316i | ||||
\(873\) | −0.464587 | − | 3.15997i | −0.0157239 | − | 0.106949i | ||||
\(874\) | −1.10108 | −0.0372444 | ||||||||
\(875\) | −29.4510 | + | 2.76429i | −0.995624 | + | 0.0934502i | ||||
\(876\) | 0.248093 | − | 0.168489i | 0.00838227 | − | 0.00569272i | ||||
\(877\) | 32.9362i | 1.11218i | 0.831124 | + | 0.556088i | \(0.187698\pi\) | ||||
−0.831124 | + | 0.556088i | \(0.812302\pi\) | |||||||
\(878\) | −32.6340 | + | 18.8413i | −1.10134 | + | 0.635861i | ||||
\(879\) | −3.83237 | − | 52.4134i | −0.129263 | − | 1.76786i | ||||
\(880\) | −2.85635 | + | 4.24980i | −0.0962874 | + | 0.143261i | ||||
\(881\) | 5.91693 | 0.199347 | 0.0996733 | − | 0.995020i | \(-0.468220\pi\) | ||||
0.0996733 | + | 0.995020i | \(0.468220\pi\) | |||||||
\(882\) | 8.58760 | − | 27.2723i | 0.289160 | − | 0.918305i | ||||
\(883\) | 54.0403i | 1.81860i | 0.416141 | + | 0.909300i | \(0.363382\pi\) | ||||
−0.416141 | + | 0.909300i | \(0.636618\pi\) | |||||||
\(884\) | 1.12126 | − | 1.94208i | 0.0377120 | − | 0.0653191i | ||||
\(885\) | −26.4347 | + | 46.3004i | −0.888591 | + | 1.55637i | ||||
\(886\) | −7.66786 | − | 13.2811i | −0.257607 | − | 0.446188i | ||||
\(887\) | − | 15.3232i | − | 0.514503i | −0.966344 | − | 0.257252i | \(-0.917183\pi\) | ||
0.966344 | − | 0.257252i | \(-0.0828169\pi\) | |||||||
\(888\) | 14.4404 | − | 29.8473i | 0.484588 | − | 1.00161i | ||||
\(889\) | 4.91489 | + | 15.9971i | 0.164840 | + | 0.536524i | ||||
\(890\) | 0.828871 | − | 12.1409i | 0.0277838 | − | 0.406963i | ||||
\(891\) | −4.07082 | − | 3.83244i | −0.136378 | − | 0.128392i | ||||
\(892\) | −3.52911 | − | 2.03753i | −0.118163 | − | 0.0682217i | ||||
\(893\) | − | 0.311481i | − | 0.0104233i | ||||||
\(894\) | −3.60432 | − | 49.2945i | −0.120547 | − | 1.64865i | ||||
\(895\) | −23.0460 | + | 34.2888i | −0.770341 | + | 1.14615i | ||||
\(896\) | 25.5741 | + | 5.86716i | 0.854369 | + | 0.196008i | ||||
\(897\) | −17.3991 | + | 1.27219i | −0.580940 | + | 0.0424773i | ||||
\(898\) | 8.59278 | + | 4.96104i | 0.286745 | + | 0.165552i | ||||
\(899\) | 2.09336 | − | 3.62581i | 0.0698175 | − | 0.120927i | ||||
\(900\) | 2.19297 | − | 0.0211537i | 0.0730990 | − | 0.000705123i | ||||
\(901\) | −7.63487 | − | 13.2240i | −0.254355 | − | 0.440555i | ||||
\(902\) | −2.46747 | + | 1.42460i | −0.0821578 | + | 0.0474338i | ||||
\(903\) | 37.3415 | + | 5.74019i | 1.24265 | + | 0.191022i | ||||
\(904\) | −8.75474 | + | 15.1637i | −0.291178 | + | 0.504335i | ||||
\(905\) | −45.6952 | − | 3.11967i | −1.51896 | − | 0.103701i | ||||
\(906\) | 0.901378 | + | 12.3277i | 0.0299463 | + | 0.409560i | ||||
\(907\) | − | 41.5300i | − | 1.37898i | −0.724295 | − | 0.689491i | \(-0.757834\pi\) | ||
0.724295 | − | 0.689491i | \(-0.242166\pi\) | |||||||
\(908\) | −1.58104 | + | 0.912814i | −0.0524687 | + | 0.0302928i | ||||
\(909\) | 12.0813 | − | 30.4577i | 0.400711 | − | 1.01022i | ||||
\(910\) | 13.8610 | + | 14.7743i | 0.459489 | + | 0.489763i | ||||
\(911\) | 8.99143 | + | 15.5736i | 0.297899 | + | 0.515977i | 0.975655 | − | 0.219310i | \(-0.0703807\pi\) |
−0.677756 | + | 0.735287i | \(0.737047\pi\) | |||||||
\(912\) | −0.724344 | − | 1.06656i | −0.0239854 | − | 0.0353174i | ||||
\(913\) | 4.57744 | − | 2.64279i | 0.151491 | − | 0.0874635i | ||||
\(914\) | 16.1968 | + | 28.0538i | 0.535744 | + | 0.927936i | ||||
\(915\) | −25.8040 | + | 0.124451i | −0.853053 | + | 0.00411424i | ||||
\(916\) | 1.20858 | + | 2.09333i | 0.0399328 | + | 0.0691656i | ||||
\(917\) | 44.3285 | − | 13.6194i | 1.46386 | − | 0.449751i | ||||
\(918\) | 29.1747 | + | 31.7876i | 0.962908 | + | 1.04915i | ||||
\(919\) | 23.7506 | + | 41.1372i | 0.783459 | + | 1.35699i | 0.929915 | + | 0.367774i | \(0.119880\pi\) |
−0.146456 | + | 0.989217i | \(0.546787\pi\) | |||||||
\(920\) | 26.1071 | + | 1.78236i | 0.860726 | + | 0.0587628i | ||||
\(921\) | −7.34999 | + | 4.99166i | −0.242190 | + | 0.164481i | ||||
\(922\) | − | 16.9886i | − | 0.559490i | ||||||
\(923\) | −19.0915 | − | 11.0225i | −0.628403 | − | 0.362809i | ||||
\(924\) | 0.0632384 | − | 0.411383i | 0.00208039 | − | 0.0135335i | ||||
\(925\) | −30.3297 | + | 12.3704i | −0.997234 | + | 0.406737i | ||||
\(926\) | −1.74130 | − | 3.01602i | −0.0572227 | − | 0.0991127i | ||||
\(927\) | 31.5745 | + | 12.5243i | 1.03704 | + | 0.411352i | ||||
\(928\) | −0.425627 | − | 0.245736i | −0.0139719 | − | 0.00806668i | ||||
\(929\) | −4.54460 | + | 7.87148i | −0.149104 | + | 0.258255i | −0.930896 | − | 0.365283i | \(-0.880972\pi\) |
0.781793 | + | 0.623538i | \(0.214305\pi\) | |||||||
\(930\) | −32.0191 | + | 18.6927i | −1.04995 | + | 0.612958i | ||||
\(931\) | −1.27217 | − | 0.616146i | −0.0416936 | − | 0.0201934i | ||||
\(932\) | −1.46404 | − | 0.845266i | −0.0479563 | − | 0.0276876i | ||||
\(933\) | −6.24610 | + | 12.9103i | −0.204488 | + | 0.422664i | ||||
\(934\) | 24.8261 | 0.812336 | ||||||||
\(935\) | −7.03103 | − | 4.72565i | −0.229939 | − | 0.154545i | ||||
\(936\) | −13.6841 | − | 17.2874i | −0.447278 | − | 0.565056i | ||||
\(937\) | 0.442145i | 0.0144442i | 0.999974 | + | 0.00722212i | \(0.00229889\pi\) | ||||
−0.999974 | + | 0.00722212i | \(0.997701\pi\) | |||||||
\(938\) | 44.3618 | − | 13.6296i | 1.44846 | − | 0.445021i | ||||
\(939\) | −2.56256 | − | 35.0468i | −0.0836259 | − | 1.14371i | ||||
\(940\) | −0.0343480 | + | 0.503111i | −0.00112031 | + | 0.0164097i | ||||
\(941\) | 19.4845 | + | 33.7481i | 0.635175 | + | 1.10016i | 0.986478 | + | 0.163894i | \(0.0524053\pi\) |
−0.351303 | + | 0.936262i | \(0.614261\pi\) | |||||||
\(942\) | 12.9963 | + | 19.1365i | 0.423443 | + | 0.623500i | ||||
\(943\) | 11.6831 | + | 6.74522i | 0.380453 | + | 0.219655i | ||||
\(944\) | −50.7443 | −1.65159 | ||||||||
\(945\) | 27.6954 | − | 13.3403i | 0.900933 | − | 0.433959i | ||||
\(946\) | −6.97318 | −0.226718 | ||||||||
\(947\) | −6.56983 | − | 3.79309i | −0.213491 | − | 0.123259i | 0.389442 | − | 0.921051i | \(-0.372668\pi\) |
−0.602933 | + | 0.797792i | \(0.706001\pi\) | |||||||
\(948\) | 2.22064 | + | 3.26979i | 0.0721231 | + | 0.106198i | ||||
\(949\) | 1.48924 | + | 2.57943i | 0.0483426 | + | 0.0837319i | ||||
\(950\) | −0.186833 | + | 1.36194i | −0.00606166 | + | 0.0441871i | ||||
\(951\) | −2.99955 | − | 41.0232i | −0.0972669 | − | 1.33027i | ||||
\(952\) | −10.5432 | + | 45.9562i | −0.341707 | + | 1.48945i | ||||
\(953\) | 22.6949i | 0.735161i | 0.929992 | + | 0.367581i | \(0.119814\pi\) | ||||
−0.929992 | + | 0.367581i | \(0.880186\pi\) | |||||||
\(954\) | −10.1183 | + | 1.48762i | −0.327593 | + | 0.0481635i | ||||
\(955\) | −7.27526 | + | 10.8245i | −0.235422 | + | 0.350271i | ||||
\(956\) | 1.16347 | 0.0376295 | ||||||||
\(957\) | 0.279040 | − | 0.576757i | 0.00902008 | − | 0.0186439i | ||||
\(958\) | −7.62852 | − | 4.40433i | −0.246466 | − | 0.142297i | ||||
\(959\) | 10.9276 | + | 35.5672i | 0.352869 | + | 1.14852i | ||||
\(960\) | 16.5900 | + | 28.4174i | 0.535442 | + | 0.917168i | ||||
\(961\) | −9.21759 | + | 15.9653i | −0.297342 | + | 0.515011i | ||||
\(962\) | 19.4275 | + | 11.2165i | 0.626368 | + | 0.361634i | ||||
\(963\) | 7.24581 | + | 49.2837i | 0.233493 | + | 1.58815i | ||||
\(964\) | −0.117861 | − | 0.204141i | −0.00379604 | − | 0.00657493i | ||||
\(965\) | 14.5436 | − | 7.12308i | 0.468175 | − | 0.229300i | ||||
\(966\) | 23.2868 | − | 9.06080i | 0.749241 | − | 0.291527i | ||||
\(967\) | 12.8032 | + | 7.39193i | 0.411723 | + | 0.237708i | 0.691530 | − | 0.722348i | \(-0.256937\pi\) |
−0.279807 | + | 0.960056i | \(0.590270\pi\) | |||||||
\(968\) | − | 31.0159i | − | 0.996889i | ||||||
\(969\) | 1.76456 | − | 1.19838i | 0.0566860 | − | 0.0384976i | ||||
\(970\) | −3.23379 | − | 0.220775i | −0.103831 | − | 0.00708865i | ||||
\(971\) | 10.2470 | + | 17.7483i | 0.328841 | + | 0.569569i | 0.982282 | − | 0.187408i | \(-0.0600086\pi\) |
−0.653441 | + | 0.756977i | \(0.726675\pi\) | |||||||
\(972\) | −2.12901 | + | 0.813401i | −0.0682882 | + | 0.0260898i | ||||
\(973\) | 7.91018 | − | 34.4793i | 0.253589 | − | 1.10536i | ||||
\(974\) | −7.94072 | − | 13.7537i | −0.254437 | − | 0.440698i | ||||
\(975\) | −1.37873 | + | 21.7371i | −0.0441546 | + | 0.696144i | ||||
\(976\) | −12.2799 | − | 21.2695i | −0.393071 | − | 0.680820i | ||||
\(977\) | 22.0190 | − | 12.7127i | 0.704449 | − | 0.406714i | −0.104553 | − | 0.994519i | \(-0.533341\pi\) |
0.809002 | + | 0.587805i | \(0.200008\pi\) | |||||||
\(978\) | 1.83138 | + | 2.69663i | 0.0585612 | + | 0.0862287i | ||||
\(979\) | −1.24154 | − | 2.15041i | −0.0396797 | − | 0.0687273i | ||||
\(980\) | 1.98689 | + | 1.13550i | 0.0634688 | + | 0.0362722i | ||||
\(981\) | 9.64565 | + | 12.1856i | 0.307962 | + | 0.389055i | ||||
\(982\) | 14.7362 | − | 8.50797i | 0.470252 | − | 0.271500i | ||||
\(983\) | 4.57328i | 0.145865i | 0.997337 | + | 0.0729325i | \(0.0232358\pi\) | ||||
−0.997337 | + | 0.0729325i | \(0.976764\pi\) | |||||||
\(984\) | 1.24330 | + | 17.0039i | 0.0396348 | + | 0.542065i | ||||
\(985\) | 2.31614 | − | 33.9257i | 0.0737985 | − | 1.08096i | ||||
\(986\) | −2.47223 | + | 4.28202i | −0.0787318 | + | 0.136367i | ||||
\(987\) | 2.56319 | + | 6.58756i | 0.0815873 | + | 0.209684i | ||||
\(988\) | −0.0643042 | + | 0.0371260i | −0.00204579 | + | 0.00118114i | ||||
\(989\) | 16.5084 | + | 28.5934i | 0.524937 | + | 0.909218i | ||||
\(990\) | −4.67837 | + | 3.21034i | −0.148688 | + | 0.102031i | ||||
\(991\) | 11.3064 | − | 19.5833i | 0.359161 | − | 0.622085i | −0.628660 | − | 0.777680i | \(-0.716396\pi\) |
0.987821 | + | 0.155595i | \(0.0497296\pi\) | |||||||
\(992\) | 5.02564 | + | 2.90156i | 0.159564 | + | 0.0921245i | ||||
\(993\) | 47.3587 | − | 3.46278i | 1.50288 | − | 0.109888i | ||||
\(994\) | 30.7757 | + | 7.06050i | 0.976145 | + | 0.223945i | ||||
\(995\) | 1.92657 | − | 2.86644i | 0.0610765 | − | 0.0908723i | ||||
\(996\) | −0.157122 | − | 2.14887i | −0.00497859 | − | 0.0680896i | ||||
\(997\) | 26.2712i | 0.832017i | 0.909361 | + | 0.416008i | \(0.136571\pi\) | ||||
−0.909361 | + | 0.416008i | \(0.863429\pi\) | |||||||
\(998\) | −45.2294 | − | 26.1132i | −1.43171 | − | 0.826600i | ||||
\(999\) | 25.0789 | − | 23.0174i | 0.793460 | − | 0.728239i |
(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 | 315.2.bo.b.4.13 | yes | 84 | |
3.2 | odd | 2 | 945.2.bo.b.739.30 | 84 | |||
5.4 | even | 2 | inner | 315.2.bo.b.4.30 | yes | 84 | |
7.2 | even | 3 | 315.2.r.b.184.30 | yes | 84 | ||
9.2 | odd | 6 | 945.2.r.b.424.13 | 84 | |||
9.7 | even | 3 | 315.2.r.b.214.30 | yes | 84 | ||
15.14 | odd | 2 | 945.2.bo.b.739.13 | 84 | |||
21.2 | odd | 6 | 945.2.r.b.604.13 | 84 | |||
35.9 | even | 6 | 315.2.r.b.184.13 | ✓ | 84 | ||
45.29 | odd | 6 | 945.2.r.b.424.30 | 84 | |||
45.34 | even | 6 | 315.2.r.b.214.13 | yes | 84 | ||
63.2 | odd | 6 | 945.2.bo.b.289.13 | 84 | |||
63.16 | even | 3 | inner | 315.2.bo.b.79.30 | yes | 84 | |
105.44 | odd | 6 | 945.2.r.b.604.30 | 84 | |||
315.79 | even | 6 | inner | 315.2.bo.b.79.13 | yes | 84 | |
315.254 | odd | 6 | 945.2.bo.b.289.30 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.r.b.184.13 | ✓ | 84 | 35.9 | even | 6 | ||
315.2.r.b.184.30 | yes | 84 | 7.2 | even | 3 | ||
315.2.r.b.214.13 | yes | 84 | 45.34 | even | 6 | ||
315.2.r.b.214.30 | yes | 84 | 9.7 | even | 3 | ||
315.2.bo.b.4.13 | yes | 84 | 1.1 | even | 1 | trivial | |
315.2.bo.b.4.30 | yes | 84 | 5.4 | even | 2 | inner | |
315.2.bo.b.79.13 | yes | 84 | 315.79 | even | 6 | inner | |
315.2.bo.b.79.30 | yes | 84 | 63.16 | even | 3 | inner | |
945.2.r.b.424.13 | 84 | 9.2 | odd | 6 | |||
945.2.r.b.424.30 | 84 | 45.29 | odd | 6 | |||
945.2.r.b.604.13 | 84 | 21.2 | odd | 6 | |||
945.2.r.b.604.30 | 84 | 105.44 | odd | 6 | |||
945.2.bo.b.289.13 | 84 | 63.2 | odd | 6 | |||
945.2.bo.b.289.30 | 84 | 315.254 | odd | 6 | |||
945.2.bo.b.739.13 | 84 | 15.14 | odd | 2 | |||
945.2.bo.b.739.30 | 84 | 3.2 | odd | 2 |