Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 11 x^{10} - 11 x^{9} + 39 x^{8} - 43 x^{7} + 99 x^{6} + 36 x^{5} + 431 x^{4} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 631.1 | ||
Root | \(-1.36475 - 0.991547i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.631 |
Dual form | 770.2.n.j.421.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | −0.521287 | + | 1.60436i | −0.300965 | + | 0.926276i | 0.680187 | + | 0.733039i | \(0.261899\pi\) |
−0.981152 | + | 0.193237i | \(0.938101\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −0.809017 | + | 0.587785i | −0.361803 | + | 0.262866i | ||||
\(6\) | −1.36475 | + | 0.991547i | −0.557156 | + | 0.404797i | ||||
\(7\) | 0.309017 | + | 0.951057i | 0.116797 | + | 0.359466i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 0.124831 | + | 0.0906951i | 0.0416104 | + | 0.0302317i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | −1.49776 | + | 2.95917i | −0.451592 | + | 0.892225i | ||||
\(12\) | −1.68692 | −0.486972 | ||||||||
\(13\) | −0.0344432 | − | 0.0250244i | −0.00955282 | − | 0.00694053i | 0.582999 | − | 0.812473i | \(-0.301879\pi\) |
−0.592551 | + | 0.805533i | \(0.701879\pi\) | |||||||
\(14\) | −0.309017 | + | 0.951057i | −0.0825883 | + | 0.254181i | ||||
\(15\) | −0.521287 | − | 1.60436i | −0.134596 | − | 0.414243i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 3.81887 | − | 2.77457i | 0.926212 | − | 0.672932i | −0.0188508 | − | 0.999822i | \(-0.506001\pi\) |
0.945062 | + | 0.326890i | \(0.106001\pi\) | |||||||
\(18\) | 0.0476812 | + | 0.146748i | 0.0112386 | + | 0.0345888i | ||||
\(19\) | −0.529469 | + | 1.62954i | −0.121468 | + | 0.373841i | −0.993241 | − | 0.116069i | \(-0.962971\pi\) |
0.871773 | + | 0.489911i | \(0.162971\pi\) | |||||||
\(20\) | −0.809017 | − | 0.587785i | −0.180902 | − | 0.131433i | ||||
\(21\) | −1.68692 | −0.368116 | ||||||||
\(22\) | −2.95107 | + | 1.51366i | −0.629171 | + | 0.322714i | ||||
\(23\) | −6.95966 | −1.45119 | −0.725595 | − | 0.688122i | \(-0.758435\pi\) | ||||
−0.725595 | + | 0.688122i | \(0.758435\pi\) | |||||||
\(24\) | −1.36475 | − | 0.991547i | −0.278578 | − | 0.202399i | ||||
\(25\) | 0.309017 | − | 0.951057i | 0.0618034 | − | 0.190211i | ||||
\(26\) | −0.0131561 | − | 0.0404904i | −0.00258013 | − | 0.00794082i | ||||
\(27\) | −4.30482 | + | 3.12764i | −0.828463 | + | 0.601914i | ||||
\(28\) | −0.809017 | + | 0.587785i | −0.152890 | + | 0.111081i | ||||
\(29\) | −0.414939 | − | 1.27705i | −0.0770523 | − | 0.237143i | 0.905110 | − | 0.425177i | \(-0.139788\pi\) |
−0.982162 | + | 0.188035i | \(0.939788\pi\) | |||||||
\(30\) | 0.521287 | − | 1.60436i | 0.0951736 | − | 0.292914i | ||||
\(31\) | −4.86418 | − | 3.53403i | −0.873632 | − | 0.634731i | 0.0579271 | − | 0.998321i | \(-0.481551\pi\) |
−0.931559 | + | 0.363590i | \(0.881551\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −3.96681 | − | 3.94552i | −0.690533 | − | 0.686827i | ||||
\(34\) | 4.72038 | 0.809539 | ||||||||
\(35\) | −0.809017 | − | 0.587785i | −0.136749 | − | 0.0993538i | ||||
\(36\) | −0.0476812 | + | 0.146748i | −0.00794687 | + | 0.0244580i | ||||
\(37\) | 2.62188 | + | 8.06932i | 0.431035 | + | 1.32659i | 0.897096 | + | 0.441836i | \(0.145673\pi\) |
−0.466061 | + | 0.884753i | \(0.654327\pi\) | |||||||
\(38\) | −1.38617 | + | 1.00711i | −0.224866 | + | 0.163375i | ||||
\(39\) | 0.0581029 | − | 0.0422142i | 0.00930391 | − | 0.00675969i | ||||
\(40\) | −0.309017 | − | 0.951057i | −0.0488599 | − | 0.150375i | ||||
\(41\) | 1.20940 | − | 3.72216i | 0.188877 | − | 0.581304i | −0.811117 | − | 0.584885i | \(-0.801140\pi\) |
0.999994 | + | 0.00358082i | \(0.00113981\pi\) | |||||||
\(42\) | −1.36475 | − | 0.991547i | −0.210585 | − | 0.152999i | ||||
\(43\) | 6.42455 | 0.979735 | 0.489867 | − | 0.871797i | \(-0.337045\pi\) | ||||
0.489867 | + | 0.871797i | \(0.337045\pi\) | |||||||
\(44\) | −3.27718 | − | 0.510019i | −0.494053 | − | 0.0768883i | ||||
\(45\) | −0.154300 | −0.0230016 | ||||||||
\(46\) | −5.63049 | − | 4.09079i | −0.830170 | − | 0.603154i | ||||
\(47\) | 1.41879 | − | 4.36658i | 0.206951 | − | 0.636931i | −0.792676 | − | 0.609643i | \(-0.791313\pi\) |
0.999628 | − | 0.0272881i | \(-0.00868715\pi\) | |||||||
\(48\) | −0.521287 | − | 1.60436i | −0.0752413 | − | 0.231569i | ||||
\(49\) | −0.809017 | + | 0.587785i | −0.115574 | + | 0.0839693i | ||||
\(50\) | 0.809017 | − | 0.587785i | 0.114412 | − | 0.0831254i | ||||
\(51\) | 2.46067 | + | 7.57317i | 0.344563 | + | 1.06046i | ||||
\(52\) | 0.0131561 | − | 0.0404904i | 0.00182443 | − | 0.00561501i | ||||
\(53\) | 11.4090 | + | 8.28916i | 1.56715 | + | 1.13860i | 0.929820 | + | 0.368015i | \(0.119963\pi\) |
0.637333 | + | 0.770588i | \(0.280037\pi\) | |||||||
\(54\) | −5.32105 | −0.724104 | ||||||||
\(55\) | −0.527646 | − | 3.27438i | −0.0711478 | − | 0.441518i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | −2.33835 | − | 1.69891i | −0.309722 | − | 0.225027i | ||||
\(58\) | 0.414939 | − | 1.27705i | 0.0544842 | − | 0.167685i | ||||
\(59\) | −3.15745 | − | 9.71764i | −0.411065 | − | 1.26513i | −0.915723 | − | 0.401809i | \(-0.868381\pi\) |
0.504658 | − | 0.863319i | \(-0.331619\pi\) | |||||||
\(60\) | 1.36475 | − | 0.991547i | 0.176188 | − | 0.128008i | ||||
\(61\) | −11.2179 | + | 8.15030i | −1.43631 | + | 1.04354i | −0.447511 | + | 0.894278i | \(0.647690\pi\) |
−0.988798 | + | 0.149261i | \(0.952310\pi\) | |||||||
\(62\) | −1.85795 | − | 5.71818i | −0.235960 | − | 0.726210i | ||||
\(63\) | −0.0476812 | + | 0.146748i | −0.00600727 | + | 0.0184885i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 0.0425741 | 0.00528067 | ||||||||
\(66\) | −0.890097 | − | 5.52362i | −0.109563 | − | 0.679911i | ||||
\(67\) | 6.39600 | 0.781396 | 0.390698 | − | 0.920519i | \(-0.372234\pi\) | ||||
0.390698 | + | 0.920519i | \(0.372234\pi\) | |||||||
\(68\) | 3.81887 | + | 2.77457i | 0.463106 | + | 0.336466i | ||||
\(69\) | 3.62798 | − | 11.1658i | 0.436758 | − | 1.34420i | ||||
\(70\) | −0.309017 | − | 0.951057i | −0.0369346 | − | 0.113673i | ||||
\(71\) | −9.14519 | + | 6.64437i | −1.08533 | + | 0.788542i | −0.978605 | − | 0.205746i | \(-0.934038\pi\) |
−0.106729 | + | 0.994288i | \(0.534038\pi\) | |||||||
\(72\) | −0.124831 | + | 0.0906951i | −0.0147115 | + | 0.0106885i | ||||
\(73\) | −0.614104 | − | 1.89002i | −0.0718754 | − | 0.221210i | 0.908665 | − | 0.417525i | \(-0.137102\pi\) |
−0.980541 | + | 0.196315i | \(0.937102\pi\) | |||||||
\(74\) | −2.62188 | + | 8.06932i | −0.304788 | + | 0.938040i | ||||
\(75\) | 1.36475 | + | 0.991547i | 0.157587 | + | 0.114494i | ||||
\(76\) | −1.71340 | −0.196540 | ||||||||
\(77\) | −3.27718 | − | 0.510019i | −0.373469 | − | 0.0581221i | ||||
\(78\) | 0.0718191 | 0.00813192 | ||||||||
\(79\) | 7.17650 | + | 5.21404i | 0.807420 | + | 0.586625i | 0.913081 | − | 0.407777i | \(-0.133696\pi\) |
−0.105662 | + | 0.994402i | \(0.533696\pi\) | |||||||
\(80\) | 0.309017 | − | 0.951057i | 0.0345492 | − | 0.106331i | ||||
\(81\) | −2.63075 | − | 8.09662i | −0.292306 | − | 0.899625i | ||||
\(82\) | 3.16626 | − | 2.30042i | 0.349655 | − | 0.254039i | ||||
\(83\) | 8.15543 | − | 5.92527i | 0.895175 | − | 0.650383i | −0.0420472 | − | 0.999116i | \(-0.513388\pi\) |
0.937222 | + | 0.348733i | \(0.113388\pi\) | |||||||
\(84\) | −0.521287 | − | 1.60436i | −0.0568771 | − | 0.175050i | ||||
\(85\) | −1.45868 | + | 4.48935i | −0.158216 | + | 0.486938i | ||||
\(86\) | 5.19757 | + | 3.77626i | 0.560469 | + | 0.407204i | ||||
\(87\) | 2.26515 | 0.242849 | ||||||||
\(88\) | −2.35151 | − | 2.33889i | −0.250672 | − | 0.249326i | ||||
\(89\) | 2.93362 | 0.310963 | 0.155481 | − | 0.987839i | \(-0.450307\pi\) | ||||
0.155481 | + | 0.987839i | \(0.450307\pi\) | |||||||
\(90\) | −0.124831 | − | 0.0906951i | −0.0131584 | − | 0.00956010i | ||||
\(91\) | 0.0131561 | − | 0.0404904i | 0.00137914 | − | 0.00424455i | ||||
\(92\) | −2.15065 | − | 6.61903i | −0.224221 | − | 0.690082i | ||||
\(93\) | 8.20548 | − | 5.96163i | 0.850868 | − | 0.618192i | ||||
\(94\) | 3.71443 | − | 2.69869i | 0.383115 | − | 0.278349i | ||||
\(95\) | −0.529469 | − | 1.62954i | −0.0543223 | − | 0.167187i | ||||
\(96\) | 0.521287 | − | 1.60436i | 0.0532036 | − | 0.163744i | ||||
\(97\) | 14.1426 | + | 10.2752i | 1.43596 | + | 1.04329i | 0.988867 | + | 0.148803i | \(0.0475422\pi\) |
0.447097 | + | 0.894485i | \(0.352458\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | −0.455350 | + | 0.233558i | −0.0457644 | + | 0.0234734i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 4.61879 | + | 3.35575i | 0.459587 | + | 0.333909i | 0.793369 | − | 0.608741i | \(-0.208325\pi\) |
−0.333782 | + | 0.942650i | \(0.608325\pi\) | |||||||
\(102\) | −2.46067 | + | 7.57317i | −0.243643 | + | 0.749856i | ||||
\(103\) | 4.14242 | + | 12.7491i | 0.408165 | + | 1.25620i | 0.918223 | + | 0.396063i | \(0.129624\pi\) |
−0.510058 | + | 0.860140i | \(0.670376\pi\) | |||||||
\(104\) | 0.0344432 | − | 0.0250244i | 0.00337743 | − | 0.00245385i | ||||
\(105\) | 1.36475 | − | 0.991547i | 0.133186 | − | 0.0967651i | ||||
\(106\) | 4.35787 | + | 13.4121i | 0.423274 | + | 1.30270i | ||||
\(107\) | −4.93405 | + | 15.1854i | −0.476992 | + | 1.46803i | 0.366259 | + | 0.930513i | \(0.380638\pi\) |
−0.843252 | + | 0.537519i | \(0.819362\pi\) | |||||||
\(108\) | −4.30482 | − | 3.12764i | −0.414232 | − | 0.300957i | ||||
\(109\) | 15.9501 | 1.52774 | 0.763871 | − | 0.645369i | \(-0.223297\pi\) | ||||
0.763871 | + | 0.645369i | \(0.223297\pi\) | |||||||
\(110\) | 1.49776 | − | 2.95917i | 0.142806 | − | 0.282146i | ||||
\(111\) | −14.3128 | −1.35851 | ||||||||
\(112\) | −0.809017 | − | 0.587785i | −0.0764449 | − | 0.0555405i | ||||
\(113\) | 2.67326 | − | 8.22746i | 0.251480 | − | 0.773975i | −0.743023 | − | 0.669266i | \(-0.766609\pi\) |
0.994503 | − | 0.104709i | \(-0.0333911\pi\) | |||||||
\(114\) | −0.893171 | − | 2.74890i | −0.0836532 | − | 0.257458i | ||||
\(115\) | 5.63049 | − | 4.09079i | 0.525046 | − | 0.381468i | ||||
\(116\) | 1.08633 | − | 0.789261i | 0.100863 | − | 0.0732811i | ||||
\(117\) | −0.00202999 | − | 0.00624766i | −0.000187672 | − | 0.000577596i | ||||
\(118\) | 3.15745 | − | 9.71764i | 0.290667 | − | 0.894581i | ||||
\(119\) | 3.81887 | + | 2.77457i | 0.350075 | + | 0.254344i | ||||
\(120\) | 1.68692 | 0.153994 | ||||||||
\(121\) | −6.51343 | − | 8.86427i | −0.592130 | − | 0.805842i | ||||
\(122\) | −13.8661 | −1.25538 | ||||||||
\(123\) | 5.34123 | + | 3.88063i | 0.481602 | + | 0.349904i | ||||
\(124\) | 1.85795 | − | 5.71818i | 0.166849 | − | 0.513508i | ||||
\(125\) | 0.309017 | + | 0.951057i | 0.0276393 | + | 0.0850651i | ||||
\(126\) | −0.124831 | + | 0.0906951i | −0.0111208 | + | 0.00807976i | ||||
\(127\) | 1.47907 | − | 1.07461i | 0.131247 | − | 0.0953563i | −0.520225 | − | 0.854029i | \(-0.674152\pi\) |
0.651472 | + | 0.758673i | \(0.274152\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −3.34904 | + | 10.3073i | −0.294866 | + | 0.907505i | ||||
\(130\) | 0.0344432 | + | 0.0250244i | 0.00302087 | + | 0.00219479i | ||||
\(131\) | −1.61678 | −0.141259 | −0.0706294 | − | 0.997503i | \(-0.522501\pi\) | ||||
−0.0706294 | + | 0.997503i | \(0.522501\pi\) | |||||||
\(132\) | 2.52660 | − | 4.99189i | 0.219912 | − | 0.434488i | ||||
\(133\) | −1.71340 | −0.148570 | ||||||||
\(134\) | 5.17447 | + | 3.75947i | 0.447006 | + | 0.324769i | ||||
\(135\) | 1.64430 | − | 5.06062i | 0.141518 | − | 0.435549i | ||||
\(136\) | 1.45868 | + | 4.48935i | 0.125081 | + | 0.384958i | ||||
\(137\) | −8.30594 | + | 6.03462i | −0.709624 | + | 0.515572i | −0.883053 | − | 0.469274i | \(-0.844516\pi\) |
0.173428 | + | 0.984847i | \(0.444516\pi\) | |||||||
\(138\) | 9.49818 | − | 6.90083i | 0.808539 | − | 0.587438i | ||||
\(139\) | −0.601835 | − | 1.85226i | −0.0510470 | − | 0.157106i | 0.922283 | − | 0.386514i | \(-0.126321\pi\) |
−0.973330 | + | 0.229408i | \(0.926321\pi\) | |||||||
\(140\) | 0.309017 | − | 0.951057i | 0.0261167 | − | 0.0803789i | ||||
\(141\) | 6.26595 | + | 4.55248i | 0.527689 | + | 0.383388i | ||||
\(142\) | −11.3041 | −0.948617 | ||||||||
\(143\) | 0.125639 | − | 0.0644428i | 0.0105065 | − | 0.00538898i | ||||
\(144\) | −0.154300 | −0.0128583 | ||||||||
\(145\) | 1.08633 | + | 0.789261i | 0.0902144 | + | 0.0655446i | ||||
\(146\) | 0.614104 | − | 1.89002i | 0.0508236 | − | 0.156419i | ||||
\(147\) | −0.521287 | − | 1.60436i | −0.0429950 | − | 0.132325i | ||||
\(148\) | −6.86418 | + | 4.98712i | −0.564232 | + | 0.409938i | ||||
\(149\) | 5.23370 | − | 3.80250i | 0.428761 | − | 0.311513i | −0.352392 | − | 0.935852i | \(-0.614632\pi\) |
0.781153 | + | 0.624339i | \(0.214632\pi\) | |||||||
\(150\) | 0.521287 | + | 1.60436i | 0.0425629 | + | 0.130995i | ||||
\(151\) | −7.29619 | + | 22.4554i | −0.593756 | + | 1.82739i | −0.0329305 | + | 0.999458i | \(0.510484\pi\) |
−0.560825 | + | 0.827934i | \(0.689516\pi\) | |||||||
\(152\) | −1.38617 | − | 1.00711i | −0.112433 | − | 0.0816873i | ||||
\(153\) | 0.728353 | 0.0588839 | ||||||||
\(154\) | −2.35151 | − | 2.33889i | −0.189490 | − | 0.188473i | ||||
\(155\) | 6.01245 | 0.482932 | ||||||||
\(156\) | 0.0581029 | + | 0.0422142i | 0.00465196 | + | 0.00337984i | ||||
\(157\) | 3.55033 | − | 10.9268i | 0.283347 | − | 0.872054i | −0.703542 | − | 0.710654i | \(-0.748399\pi\) |
0.986889 | − | 0.161400i | \(-0.0516009\pi\) | |||||||
\(158\) | 2.74118 | + | 8.43649i | 0.218077 | + | 0.671171i | ||||
\(159\) | −19.2462 | + | 13.9831i | −1.52632 | + | 1.10894i | ||||
\(160\) | 0.809017 | − | 0.587785i | 0.0639584 | − | 0.0464685i | ||||
\(161\) | −2.15065 | − | 6.61903i | −0.169495 | − | 0.521653i | ||||
\(162\) | 2.63075 | − | 8.09662i | 0.206691 | − | 0.636131i | ||||
\(163\) | 11.4311 | + | 8.30519i | 0.895354 | + | 0.650513i | 0.937269 | − | 0.348608i | \(-0.113346\pi\) |
−0.0419142 | + | 0.999121i | \(0.513346\pi\) | |||||||
\(164\) | 3.91371 | 0.305609 | ||||||||
\(165\) | 5.52833 | + | 0.860361i | 0.430380 | + | 0.0669790i | ||||
\(166\) | 10.0807 | 0.782412 | ||||||||
\(167\) | 12.6219 | + | 9.17034i | 0.976711 | + | 0.709622i | 0.956971 | − | 0.290183i | \(-0.0937161\pi\) |
0.0197402 | + | 0.999805i | \(0.493716\pi\) | |||||||
\(168\) | 0.521287 | − | 1.60436i | 0.0402182 | − | 0.123779i | ||||
\(169\) | −4.01666 | − | 12.3620i | −0.308974 | − | 0.950924i | ||||
\(170\) | −3.81887 | + | 2.77457i | −0.292894 | + | 0.212800i | ||||
\(171\) | −0.213885 | + | 0.155397i | −0.0163562 | + | 0.0118835i | ||||
\(172\) | 1.98530 | + | 6.11011i | 0.151377 | + | 0.465892i | ||||
\(173\) | 1.91954 | − | 5.90774i | 0.145940 | − | 0.449157i | −0.851191 | − | 0.524856i | \(-0.824119\pi\) |
0.997131 | + | 0.0756996i | \(0.0241190\pi\) | |||||||
\(174\) | 1.83254 | + | 1.33142i | 0.138925 | + | 0.100935i | ||||
\(175\) | 1.00000 | 0.0755929 | ||||||||
\(176\) | −0.527646 | − | 3.27438i | −0.0397728 | − | 0.246816i | ||||
\(177\) | 17.2365 | 1.29557 | ||||||||
\(178\) | 2.37335 | + | 1.72434i | 0.177890 | + | 0.129245i | ||||
\(179\) | 4.91555 | − | 15.1285i | 0.367406 | − | 1.13076i | −0.581055 | − | 0.813864i | \(-0.697360\pi\) |
0.948461 | − | 0.316894i | \(-0.102640\pi\) | |||||||
\(180\) | −0.0476812 | − | 0.146748i | −0.00355395 | − | 0.0109379i | ||||
\(181\) | 5.33901 | − | 3.87902i | 0.396845 | − | 0.288325i | −0.371409 | − | 0.928469i | \(-0.621125\pi\) |
0.768255 | + | 0.640144i | \(0.221125\pi\) | |||||||
\(182\) | 0.0344432 | − | 0.0250244i | 0.00255310 | − | 0.00185493i | ||||
\(183\) | −7.22823 | − | 22.2462i | −0.534326 | − | 1.64449i | ||||
\(184\) | 2.15065 | − | 6.61903i | 0.158548 | − | 0.487962i | ||||
\(185\) | −6.86418 | − | 4.98712i | −0.504664 | − | 0.366660i | ||||
\(186\) | 10.1425 | 0.743686 | ||||||||
\(187\) | 2.49069 | + | 15.4563i | 0.182137 | + | 1.13028i | ||||
\(188\) | 4.59129 | 0.334854 | ||||||||
\(189\) | −4.30482 | − | 3.12764i | −0.313130 | − | 0.227502i | ||||
\(190\) | 0.529469 | − | 1.62954i | 0.0384117 | − | 0.118219i | ||||
\(191\) | 5.30552 | + | 16.3287i | 0.383894 | + | 1.18150i | 0.937280 | + | 0.348579i | \(0.113336\pi\) |
−0.553386 | + | 0.832925i | \(0.686664\pi\) | |||||||
\(192\) | 1.36475 | − | 0.991547i | 0.0984921 | − | 0.0715587i | ||||
\(193\) | 8.26691 | − | 6.00626i | 0.595065 | − | 0.432340i | −0.249059 | − | 0.968488i | \(-0.580121\pi\) |
0.844124 | + | 0.536148i | \(0.180121\pi\) | |||||||
\(194\) | 5.40199 | + | 16.6256i | 0.387841 | + | 1.19365i | ||||
\(195\) | −0.0221933 | + | 0.0683041i | −0.00158930 | + | 0.00489136i | ||||
\(196\) | −0.809017 | − | 0.587785i | −0.0577869 | − | 0.0419847i | ||||
\(197\) | −7.33268 | −0.522432 | −0.261216 | − | 0.965280i | \(-0.584124\pi\) | ||||
−0.261216 | + | 0.965280i | \(0.584124\pi\) | |||||||
\(198\) | −0.505667 | − | 0.0786958i | −0.0359362 | − | 0.00559267i | ||||
\(199\) | −8.90352 | −0.631154 | −0.315577 | − | 0.948900i | \(-0.602198\pi\) | ||||
−0.315577 | + | 0.948900i | \(0.602198\pi\) | |||||||
\(200\) | 0.809017 | + | 0.587785i | 0.0572061 | + | 0.0415627i | ||||
\(201\) | −3.33415 | + | 10.2615i | −0.235173 | + | 0.723788i | ||||
\(202\) | 1.76422 | + | 5.42972i | 0.124130 | + | 0.382033i | ||||
\(203\) | 1.08633 | − | 0.789261i | 0.0762451 | − | 0.0553953i | ||||
\(204\) | −6.44213 | + | 4.68048i | −0.451039 | + | 0.327699i | ||||
\(205\) | 1.20940 | + | 3.72216i | 0.0844684 | + | 0.259967i | ||||
\(206\) | −4.14242 | + | 12.7491i | −0.288616 | + | 0.888269i | ||||
\(207\) | −0.868782 | − | 0.631207i | −0.0603846 | − | 0.0438719i | ||||
\(208\) | 0.0425741 | 0.00295198 | ||||||||
\(209\) | −4.02907 | − | 4.00745i | −0.278696 | − | 0.277201i | ||||
\(210\) | 1.68692 | 0.116409 | ||||||||
\(211\) | −3.67914 | − | 2.67305i | −0.253283 | − | 0.184021i | 0.453898 | − | 0.891054i | \(-0.350033\pi\) |
−0.707180 | + | 0.707033i | \(0.750033\pi\) | |||||||
\(212\) | −4.35787 | + | 13.4121i | −0.299300 | + | 0.921150i | ||||
\(213\) | −5.89267 | − | 18.1358i | −0.403759 | − | 1.24264i | ||||
\(214\) | −12.9175 | + | 9.38512i | −0.883022 | + | 0.641553i | ||||
\(215\) | −5.19757 | + | 3.77626i | −0.354471 | + | 0.257539i | ||||
\(216\) | −1.64430 | − | 5.06062i | −0.111880 | − | 0.344332i | ||||
\(217\) | 1.85795 | − | 5.71818i | 0.126126 | − | 0.388176i | ||||
\(218\) | 12.9039 | + | 9.37523i | 0.873962 | + | 0.634970i | ||||
\(219\) | 3.35239 | 0.226533 | ||||||||
\(220\) | 2.95107 | − | 1.51366i | 0.198961 | − | 0.102051i | ||||
\(221\) | −0.200966 | −0.0135184 | ||||||||
\(222\) | −11.5793 | − | 8.41287i | −0.777153 | − | 0.564635i | ||||
\(223\) | 5.58399 | − | 17.1857i | 0.373931 | − | 1.15084i | −0.570265 | − | 0.821461i | \(-0.693160\pi\) |
0.944197 | − | 0.329382i | \(-0.106840\pi\) | |||||||
\(224\) | −0.309017 | − | 0.951057i | −0.0206471 | − | 0.0635451i | ||||
\(225\) | 0.124831 | − | 0.0906951i | 0.00832207 | − | 0.00604634i | ||||
\(226\) | 6.99870 | − | 5.08485i | 0.465546 | − | 0.338239i | ||||
\(227\) | 0.299901 | + | 0.923001i | 0.0199052 | + | 0.0612618i | 0.960516 | − | 0.278226i | \(-0.0897464\pi\) |
−0.940611 | + | 0.339488i | \(0.889746\pi\) | |||||||
\(228\) | 0.893171 | − | 2.74890i | 0.0591517 | − | 0.182050i | ||||
\(229\) | 1.99255 | + | 1.44767i | 0.131671 | + | 0.0956648i | 0.651671 | − | 0.758501i | \(-0.274068\pi\) |
−0.520000 | + | 0.854166i | \(0.674068\pi\) | |||||||
\(230\) | 6.95966 | 0.458907 | ||||||||
\(231\) | 2.52660 | − | 4.99189i | 0.166238 | − | 0.328442i | ||||
\(232\) | 1.34277 | 0.0881573 | ||||||||
\(233\) | 5.38030 | + | 3.90901i | 0.352475 | + | 0.256088i | 0.749907 | − | 0.661544i | \(-0.230098\pi\) |
−0.397432 | + | 0.917632i | \(0.630098\pi\) | |||||||
\(234\) | 0.00202999 | − | 0.00624766i | 0.000132704 | − | 0.000408422i | ||||
\(235\) | 1.41879 | + | 4.36658i | 0.0925515 | + | 0.284844i | ||||
\(236\) | 8.26632 | − | 6.00583i | 0.538091 | − | 0.390946i | ||||
\(237\) | −12.1062 | + | 8.79566i | −0.786382 | + | 0.571340i | ||||
\(238\) | 1.45868 | + | 4.48935i | 0.0945520 | + | 0.291001i | ||||
\(239\) | 6.50571 | − | 20.0225i | 0.420819 | − | 1.29515i | −0.486122 | − | 0.873891i | \(-0.661589\pi\) |
0.906941 | − | 0.421257i | \(-0.138411\pi\) | |||||||
\(240\) | 1.36475 | + | 0.991547i | 0.0880941 | + | 0.0640041i | ||||
\(241\) | −7.93244 | −0.510973 | −0.255487 | − | 0.966813i | \(-0.582236\pi\) | ||||
−0.255487 | + | 0.966813i | \(0.582236\pi\) | |||||||
\(242\) | −0.0591910 | − | 10.9998i | −0.00380494 | − | 0.707097i | ||||
\(243\) | −1.60191 | −0.102763 | ||||||||
\(244\) | −11.2179 | − | 8.15030i | −0.718154 | − | 0.521770i | ||||
\(245\) | 0.309017 | − | 0.951057i | 0.0197424 | − | 0.0607608i | ||||
\(246\) | 2.04017 | + | 6.27899i | 0.130076 | + | 0.400334i | ||||
\(247\) | 0.0590148 | − | 0.0428768i | 0.00375502 | − | 0.00272818i | ||||
\(248\) | 4.86418 | − | 3.53403i | 0.308876 | − | 0.224411i | ||||
\(249\) | 5.25492 | + | 16.1730i | 0.333017 | + | 1.02492i | ||||
\(250\) | −0.309017 | + | 0.951057i | −0.0195440 | + | 0.0601501i | ||||
\(251\) | −15.3253 | − | 11.1345i | −0.967323 | − | 0.702801i | −0.0124831 | − | 0.999922i | \(-0.503974\pi\) |
−0.954840 | + | 0.297121i | \(0.903974\pi\) | |||||||
\(252\) | −0.154300 | −0.00971997 | ||||||||
\(253\) | 10.4239 | − | 20.5949i | 0.655345 | − | 1.29479i | ||||
\(254\) | 1.82824 | 0.114714 | ||||||||
\(255\) | −6.44213 | − | 4.68048i | −0.403422 | − | 0.293103i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −8.30015 | − | 25.5452i | −0.517749 | − | 1.59347i | −0.778224 | − | 0.627987i | \(-0.783879\pi\) |
0.260475 | − | 0.965481i | \(-0.416121\pi\) | |||||||
\(258\) | −8.76789 | + | 6.37024i | −0.545865 | + | 0.396594i | ||||
\(259\) | −6.86418 | + | 4.98712i | −0.426519 | + | 0.309884i | ||||
\(260\) | 0.0131561 | + | 0.0404904i | 0.000815908 | + | 0.00251111i | ||||
\(261\) | 0.0640250 | − | 0.197049i | 0.00396305 | − | 0.0121970i | ||||
\(262\) | −1.30800 | − | 0.950320i | −0.0808087 | − | 0.0587109i | ||||
\(263\) | −13.3750 | −0.824740 | −0.412370 | − | 0.911017i | \(-0.635299\pi\) | ||||
−0.412370 | + | 0.911017i | \(0.635299\pi\) | |||||||
\(264\) | 4.97822 | − | 2.55343i | 0.306389 | − | 0.157153i | ||||
\(265\) | −14.1024 | −0.866301 | ||||||||
\(266\) | −1.38617 | − | 1.00711i | −0.0849913 | − | 0.0617498i | ||||
\(267\) | −1.52926 | + | 4.70657i | −0.0935890 | + | 0.288037i | ||||
\(268\) | 1.97647 | + | 6.08296i | 0.120732 | + | 0.371576i | ||||
\(269\) | 3.28444 | − | 2.38629i | 0.200256 | − | 0.145494i | −0.483138 | − | 0.875544i | \(-0.660503\pi\) |
0.683394 | + | 0.730050i | \(0.260503\pi\) | |||||||
\(270\) | 4.30482 | − | 3.12764i | 0.261983 | − | 0.190342i | ||||
\(271\) | 7.11437 | + | 21.8958i | 0.432167 | + | 1.33007i | 0.895962 | + | 0.444131i | \(0.146488\pi\) |
−0.463794 | + | 0.885943i | \(0.653512\pi\) | |||||||
\(272\) | −1.45868 | + | 4.48935i | −0.0884453 | + | 0.272207i | ||||
\(273\) | 0.0581029 | + | 0.0422142i | 0.00351655 | + | 0.00255492i | ||||
\(274\) | −10.2667 | −0.620235 | ||||||||
\(275\) | 2.35151 | + | 2.33889i | 0.141801 | + | 0.141040i | ||||
\(276\) | 11.7404 | 0.706689 | ||||||||
\(277\) | 18.0299 | + | 13.0995i | 1.08331 | + | 0.787073i | 0.978258 | − | 0.207394i | \(-0.0664981\pi\) |
0.105055 | + | 0.994466i | \(0.466498\pi\) | |||||||
\(278\) | 0.601835 | − | 1.85226i | 0.0360956 | − | 0.111091i | ||||
\(279\) | −0.286681 | − | 0.882314i | −0.0171632 | − | 0.0528227i | ||||
\(280\) | 0.809017 | − | 0.587785i | 0.0483480 | − | 0.0351269i | ||||
\(281\) | 1.81996 | − | 1.32228i | 0.108569 | − | 0.0788803i | −0.532176 | − | 0.846634i | \(-0.678625\pi\) |
0.640745 | + | 0.767754i | \(0.278625\pi\) | |||||||
\(282\) | 2.39338 | + | 7.36607i | 0.142524 | + | 0.438643i | ||||
\(283\) | −1.14656 | + | 3.52875i | −0.0681559 | + | 0.209762i | −0.979334 | − | 0.202251i | \(-0.935174\pi\) |
0.911178 | + | 0.412013i | \(0.135174\pi\) | |||||||
\(284\) | −9.14519 | − | 6.64437i | −0.542667 | − | 0.394271i | ||||
\(285\) | 2.89036 | 0.171210 | ||||||||
\(286\) | 0.139523 | + | 0.0217136i | 0.00825016 | + | 0.00128395i | ||||
\(287\) | 3.91371 | 0.231019 | ||||||||
\(288\) | −0.124831 | − | 0.0906951i | −0.00735574 | − | 0.00534426i | ||||
\(289\) | 1.63223 | − | 5.02347i | 0.0960133 | − | 0.295498i | ||||
\(290\) | 0.414939 | + | 1.27705i | 0.0243661 | + | 0.0749911i | ||||
\(291\) | −23.8574 | + | 17.3334i | −1.39855 | + | 1.01610i | ||||
\(292\) | 1.60774 | − | 1.16810i | 0.0940862 | − | 0.0683576i | ||||
\(293\) | 0.572205 | + | 1.76107i | 0.0334286 | + | 0.102883i | 0.966379 | − | 0.257123i | \(-0.0827747\pi\) |
−0.932950 | + | 0.360006i | \(0.882775\pi\) | |||||||
\(294\) | 0.521287 | − | 1.60436i | 0.0304021 | − | 0.0935680i | ||||
\(295\) | 8.26632 | + | 6.00583i | 0.481284 | + | 0.349673i | ||||
\(296\) | −8.48459 | −0.493157 | ||||||||
\(297\) | −2.80763 | − | 17.4232i | −0.162915 | − | 1.01099i | ||||
\(298\) | 6.46920 | 0.374751 | ||||||||
\(299\) | 0.239713 | + | 0.174162i | 0.0138630 | + | 0.0100720i | ||||
\(300\) | −0.521287 | + | 1.60436i | −0.0300965 | + | 0.0926276i | ||||
\(301\) | 1.98530 | + | 6.11011i | 0.114431 | + | 0.352181i | ||||
\(302\) | −19.1017 | + | 13.8782i | −1.09918 | + | 0.798600i | ||||
\(303\) | −7.79153 | + | 5.66088i | −0.447612 | + | 0.325209i | ||||
\(304\) | −0.529469 | − | 1.62954i | −0.0303671 | − | 0.0934603i | ||||
\(305\) | 4.28487 | − | 13.1875i | 0.245351 | − | 0.755112i | ||||
\(306\) | 0.589250 | + | 0.428115i | 0.0336852 | + | 0.0244737i | ||||
\(307\) | −6.66980 | −0.380666 | −0.190333 | − | 0.981720i | \(-0.560957\pi\) | ||||
−0.190333 | + | 0.981720i | \(0.560957\pi\) | |||||||
\(308\) | −0.527646 | − | 3.27438i | −0.0300654 | − | 0.186575i | ||||
\(309\) | −22.6134 | −1.28643 | ||||||||
\(310\) | 4.86418 | + | 3.53403i | 0.276267 | + | 0.200719i | ||||
\(311\) | 4.66520 | − | 14.3580i | 0.264539 | − | 0.814168i | −0.727260 | − | 0.686362i | \(-0.759207\pi\) |
0.991799 | − | 0.127806i | \(-0.0407935\pi\) | |||||||
\(312\) | 0.0221933 | + | 0.0683041i | 0.00125645 | + | 0.00386696i | ||||
\(313\) | −5.93611 | + | 4.31284i | −0.335529 | + | 0.243776i | −0.742773 | − | 0.669543i | \(-0.766490\pi\) |
0.407244 | + | 0.913319i | \(0.366490\pi\) | |||||||
\(314\) | 9.29489 | − | 6.75314i | 0.524541 | − | 0.381102i | ||||
\(315\) | −0.0476812 | − | 0.146748i | −0.00268653 | − | 0.00826830i | ||||
\(316\) | −2.74118 | + | 8.43649i | −0.154203 | + | 0.474589i | ||||
\(317\) | −18.1948 | − | 13.2193i | −1.02192 | − | 0.742468i | −0.0552441 | − | 0.998473i | \(-0.517594\pi\) |
−0.966675 | + | 0.256005i | \(0.917594\pi\) | |||||||
\(318\) | −23.7896 | −1.33405 | ||||||||
\(319\) | 4.40050 | + | 0.684839i | 0.246381 | + | 0.0383436i | ||||
\(320\) | 1.00000 | 0.0559017 | ||||||||
\(321\) | −21.7908 | − | 15.8319i | −1.21624 | − | 0.883653i | ||||
\(322\) | 2.15065 | − | 6.61903i | 0.119851 | − | 0.368864i | ||||
\(323\) | 2.49929 | + | 7.69203i | 0.139064 | + | 0.427996i | ||||
\(324\) | 6.88740 | − | 5.00399i | 0.382633 | − | 0.277999i | ||||
\(325\) | −0.0344432 | + | 0.0250244i | −0.00191056 | + | 0.00138811i | ||||
\(326\) | 4.36630 | + | 13.4381i | 0.241827 | + | 0.744267i | ||||
\(327\) | −8.31457 | + | 25.5896i | −0.459797 | + | 1.41511i | ||||
\(328\) | 3.16626 | + | 2.30042i | 0.174827 | + | 0.127020i | ||||
\(329\) | 4.59129 | 0.253126 | ||||||||
\(330\) | 3.96681 | + | 3.94552i | 0.218366 | + | 0.217194i | ||||
\(331\) | 10.3154 | 0.566987 | 0.283494 | − | 0.958974i | \(-0.408507\pi\) | ||||
0.283494 | + | 0.958974i | \(0.408507\pi\) | |||||||
\(332\) | 8.15543 | + | 5.92527i | 0.447587 | + | 0.325191i | ||||
\(333\) | −0.404556 | + | 1.24509i | −0.0221695 | + | 0.0682307i | ||||
\(334\) | 4.82113 | + | 14.8379i | 0.263801 | + | 0.811895i | ||||
\(335\) | −5.17447 | + | 3.75947i | −0.282712 | + | 0.205402i | ||||
\(336\) | 1.36475 | − | 0.991547i | 0.0744531 | − | 0.0540933i | ||||
\(337\) | −8.40752 | − | 25.8757i | −0.457987 | − | 1.40954i | −0.867593 | − | 0.497275i | \(-0.834334\pi\) |
0.409606 | − | 0.912262i | \(-0.365666\pi\) | |||||||
\(338\) | 4.01666 | − | 12.3620i | 0.218478 | − | 0.672405i | ||||
\(339\) | 11.8062 | + | 8.57774i | 0.641227 | + | 0.465879i | ||||
\(340\) | −4.72038 | −0.255999 | ||||||||
\(341\) | 17.7432 | − | 9.10082i | 0.960847 | − | 0.492837i | ||||
\(342\) | −0.264377 | −0.0142958 | ||||||||
\(343\) | −0.809017 | − | 0.587785i | −0.0436828 | − | 0.0317374i | ||||
\(344\) | −1.98530 | + | 6.11011i | −0.107040 | + | 0.329435i | ||||
\(345\) | 3.62798 | + | 11.1658i | 0.195324 | + | 0.601146i | ||||
\(346\) | 5.02542 | − | 3.65118i | 0.270168 | − | 0.196289i | ||||
\(347\) | 5.38238 | − | 3.91053i | 0.288941 | − | 0.209928i | −0.433867 | − | 0.900977i | \(-0.642851\pi\) |
0.722808 | + | 0.691049i | \(0.242851\pi\) | |||||||
\(348\) | 0.699970 | + | 2.15428i | 0.0375223 | + | 0.115482i | ||||
\(349\) | −7.86699 | + | 24.2121i | −0.421110 | + | 1.29604i | 0.485560 | + | 0.874204i | \(0.338616\pi\) |
−0.906670 | + | 0.421841i | \(0.861384\pi\) | |||||||
\(350\) | 0.809017 | + | 0.587785i | 0.0432438 | + | 0.0314184i | ||||
\(351\) | 0.226539 | 0.0120918 | ||||||||
\(352\) | 1.49776 | − | 2.95917i | 0.0798309 | − | 0.157725i | ||||
\(353\) | −29.0584 | −1.54662 | −0.773311 | − | 0.634026i | \(-0.781401\pi\) | ||||
−0.773311 | + | 0.634026i | \(0.781401\pi\) | |||||||
\(354\) | 13.9446 | + | 10.1314i | 0.741148 | + | 0.538476i | ||||
\(355\) | 3.49315 | − | 10.7508i | 0.185397 | − | 0.570594i | ||||
\(356\) | 0.906538 | + | 2.79004i | 0.0480464 | + | 0.147872i | ||||
\(357\) | −6.44213 | + | 4.68048i | −0.340953 | + | 0.247717i | ||||
\(358\) | 12.8691 | − | 9.34994i | 0.680152 | − | 0.494160i | ||||
\(359\) | −8.75211 | − | 26.9362i | −0.461918 | − | 1.42164i | −0.862817 | − | 0.505516i | \(-0.831302\pi\) |
0.400898 | − | 0.916122i | \(-0.368698\pi\) | |||||||
\(360\) | 0.0476812 | − | 0.146748i | 0.00251302 | − | 0.00773428i | ||||
\(361\) | 12.9963 | + | 9.44234i | 0.684014 | + | 0.496965i | ||||
\(362\) | 6.59938 | 0.346856 | ||||||||
\(363\) | 17.6168 | − | 5.82904i | 0.924643 | − | 0.305945i | ||||
\(364\) | 0.0425741 | 0.00223149 | ||||||||
\(365\) | 1.60774 | + | 1.16810i | 0.0841532 | + | 0.0611409i | ||||
\(366\) | 7.22823 | − | 22.2462i | 0.377826 | − | 1.16283i | ||||
\(367\) | −8.50364 | − | 26.1715i | −0.443887 | − | 1.36614i | −0.883700 | − | 0.468053i | \(-0.844956\pi\) |
0.439814 | − | 0.898089i | \(-0.355044\pi\) | |||||||
\(368\) | 5.63049 | − | 4.09079i | 0.293509 | − | 0.213247i | ||||
\(369\) | 0.488553 | − | 0.354954i | 0.0254330 | − | 0.0184782i | ||||
\(370\) | −2.62188 | − | 8.06932i | −0.136305 | − | 0.419504i | ||||
\(371\) | −4.35787 | + | 13.4121i | −0.226249 | + | 0.696324i | ||||
\(372\) | 8.20548 | + | 5.96163i | 0.425434 | + | 0.309096i | ||||
\(373\) | −22.9306 | −1.18730 | −0.593650 | − | 0.804724i | \(-0.702313\pi\) | ||||
−0.593650 | + | 0.804724i | \(0.702313\pi\) | |||||||
\(374\) | −7.07000 | + | 13.9684i | −0.365581 | + | 0.722290i | ||||
\(375\) | −1.68692 | −0.0871122 | ||||||||
\(376\) | 3.71443 | + | 2.69869i | 0.191557 | + | 0.139175i | ||||
\(377\) | −0.0176657 | + | 0.0543694i | −0.000909829 | + | 0.00280016i | ||||
\(378\) | −1.64430 | − | 5.06062i | −0.0845734 | − | 0.260290i | ||||
\(379\) | −12.4702 | + | 9.06012i | −0.640550 | + | 0.465387i | −0.860039 | − | 0.510228i | \(-0.829561\pi\) |
0.219489 | + | 0.975615i | \(0.429561\pi\) | |||||||
\(380\) | 1.38617 | − | 1.00711i | 0.0711089 | − | 0.0516636i | ||||
\(381\) | 0.953036 | + | 2.93314i | 0.0488255 | + | 0.150270i | ||||
\(382\) | −5.30552 | + | 16.3287i | −0.271454 | + | 0.835449i | ||||
\(383\) | 24.9927 | + | 18.1582i | 1.27707 | + | 0.927843i | 0.999460 | − | 0.0328519i | \(-0.0104590\pi\) |
0.277606 | + | 0.960695i | \(0.410459\pi\) | |||||||
\(384\) | 1.68692 | 0.0860853 | ||||||||
\(385\) | 2.95107 | − | 1.51366i | 0.150401 | − | 0.0771433i | ||||
\(386\) | 10.2185 | 0.520106 | ||||||||
\(387\) | 0.801984 | + | 0.582675i | 0.0407671 | + | 0.0296190i | ||||
\(388\) | −5.40199 | + | 16.6256i | −0.274245 | + | 0.844038i | ||||
\(389\) | 0.139877 | + | 0.430497i | 0.00709204 | + | 0.0218270i | 0.954540 | − | 0.298083i | \(-0.0963473\pi\) |
−0.947448 | + | 0.319910i | \(0.896347\pi\) | |||||||
\(390\) | −0.0581029 | + | 0.0422142i | −0.00294216 | + | 0.00213760i | ||||
\(391\) | −26.5780 | + | 19.3101i | −1.34411 | + | 0.976553i | ||||
\(392\) | −0.309017 | − | 0.951057i | −0.0156077 | − | 0.0480356i | ||||
\(393\) | 0.842807 | − | 2.59389i | 0.0425140 | − | 0.130845i | ||||
\(394\) | −5.93227 | − | 4.31004i | −0.298863 | − | 0.217137i | ||||
\(395\) | −8.87065 | −0.446331 | ||||||||
\(396\) | −0.362837 | − | 0.360890i | −0.0182333 | − | 0.0181354i | ||||
\(397\) | 24.1263 | 1.21086 | 0.605431 | − | 0.795897i | \(-0.293001\pi\) | ||||
0.605431 | + | 0.795897i | \(0.293001\pi\) | |||||||
\(398\) | −7.20310 | − | 5.23336i | −0.361059 | − | 0.262325i | ||||
\(399\) | 0.893171 | − | 2.74890i | 0.0447145 | − | 0.137617i | ||||
\(400\) | 0.309017 | + | 0.951057i | 0.0154508 | + | 0.0475528i | ||||
\(401\) | 9.08207 | − | 6.59851i | 0.453537 | − | 0.329514i | −0.337454 | − | 0.941342i | \(-0.609566\pi\) |
0.790991 | + | 0.611828i | \(0.209566\pi\) | |||||||
\(402\) | −8.72892 | + | 6.34193i | −0.435359 | + | 0.316307i | ||||
\(403\) | 0.0791006 | + | 0.243447i | 0.00394028 | + | 0.0121269i | ||||
\(404\) | −1.76422 | + | 5.42972i | −0.0877733 | + | 0.270138i | ||||
\(405\) | 6.88740 | + | 5.00399i | 0.342238 | + | 0.248650i | ||||
\(406\) | 1.34277 | 0.0666406 | ||||||||
\(407\) | −27.8055 | − | 4.32730i | −1.37827 | − | 0.214496i | ||||
\(408\) | −7.96291 | −0.394223 | ||||||||
\(409\) | 24.6566 | + | 17.9140i | 1.21919 | + | 0.885792i | 0.996032 | − | 0.0889907i | \(-0.0283641\pi\) |
0.223156 | + | 0.974783i | \(0.428364\pi\) | |||||||
\(410\) | −1.20940 | + | 3.72216i | −0.0597282 | + | 0.183824i | ||||
\(411\) | −5.35190 | − | 16.4715i | −0.263990 | − | 0.812477i | ||||
\(412\) | −10.8450 | + | 7.87936i | −0.534295 | + | 0.388188i | ||||
\(413\) | 8.26632 | − | 6.00583i | 0.406759 | − | 0.295528i | ||||
\(414\) | −0.331845 | − | 1.02132i | −0.0163093 | − | 0.0501949i | ||||
\(415\) | −3.11510 | + | 9.58728i | −0.152914 | + | 0.470621i | ||||
\(416\) | 0.0344432 | + | 0.0250244i | 0.00168872 | + | 0.00122692i | ||||
\(417\) | 3.28541 | 0.160887 | ||||||||
\(418\) | −0.904067 | − | 5.61032i | −0.0442194 | − | 0.274410i | ||||
\(419\) | 11.8710 | 0.579937 | 0.289968 | − | 0.957036i | \(-0.406355\pi\) | ||||
0.289968 | + | 0.957036i | \(0.406355\pi\) | |||||||
\(420\) | 1.36475 | + | 0.991547i | 0.0665928 | + | 0.0483825i | ||||
\(421\) | 7.34459 | − | 22.6043i | 0.357953 | − | 1.10167i | −0.596324 | − | 0.802744i | \(-0.703373\pi\) |
0.954277 | − | 0.298923i | \(-0.0966274\pi\) | |||||||
\(422\) | −1.40531 | − | 4.32509i | −0.0684093 | − | 0.210542i | ||||
\(423\) | 0.573136 | − | 0.416408i | 0.0278668 | − | 0.0202464i | ||||
\(424\) | −11.4090 | + | 8.28916i | −0.554072 | + | 0.402557i | ||||
\(425\) | −1.45868 | − | 4.48935i | −0.0707563 | − | 0.217765i | ||||
\(426\) | 5.89267 | − | 18.1358i | 0.285501 | − | 0.878681i | ||||
\(427\) | −11.2179 | − | 8.15030i | −0.542874 | − | 0.394421i | ||||
\(428\) | −15.9669 | −0.771790 | ||||||||
\(429\) | 0.0378951 | + | 0.235163i | 0.00182959 | + | 0.0113538i | ||||
\(430\) | −6.42455 | −0.309819 | ||||||||
\(431\) | −22.0004 | − | 15.9842i | −1.05972 | − | 0.769932i | −0.0856833 | − | 0.996322i | \(-0.527307\pi\) |
−0.974037 | + | 0.226391i | \(0.927307\pi\) | |||||||
\(432\) | 1.64430 | − | 5.06062i | 0.0791112 | − | 0.243479i | ||||
\(433\) | −0.683128 | − | 2.10245i | −0.0328290 | − | 0.101037i | 0.933299 | − | 0.359099i | \(-0.116916\pi\) |
−0.966128 | + | 0.258062i | \(0.916916\pi\) | |||||||
\(434\) | 4.86418 | − | 3.53403i | 0.233488 | − | 0.169639i | ||||
\(435\) | −1.83254 | + | 1.33142i | −0.0878638 | + | 0.0638368i | ||||
\(436\) | 4.92885 | + | 15.1694i | 0.236049 | + | 0.726484i | ||||
\(437\) | 3.68492 | − | 11.3410i | 0.176274 | − | 0.542515i | ||||
\(438\) | 2.71214 | + | 1.97048i | 0.129591 | + | 0.0941533i | ||||
\(439\) | −6.47985 | −0.309267 | −0.154633 | − | 0.987972i | \(-0.549420\pi\) | ||||
−0.154633 | + | 0.987972i | \(0.549420\pi\) | |||||||
\(440\) | 3.27718 | + | 0.510019i | 0.156233 | + | 0.0243142i | ||||
\(441\) | −0.154300 | −0.00734760 | ||||||||
\(442\) | −0.162585 | − | 0.118125i | −0.00773338 | − | 0.00561863i | ||||
\(443\) | 5.27776 | − | 16.2433i | 0.250754 | − | 0.771741i | −0.743883 | − | 0.668310i | \(-0.767018\pi\) |
0.994637 | − | 0.103431i | \(-0.0329820\pi\) | |||||||
\(444\) | −4.42291 | − | 13.6123i | −0.209902 | − | 0.646011i | ||||
\(445\) | −2.37335 | + | 1.72434i | −0.112507 | + | 0.0817414i | ||||
\(446\) | 14.6191 | − | 10.6214i | 0.692233 | − | 0.502937i | ||||
\(447\) | 3.37231 | + | 10.3789i | 0.159505 | + | 0.490906i | ||||
\(448\) | 0.309017 | − | 0.951057i | 0.0145997 | − | 0.0449332i | ||||
\(449\) | −10.6246 | − | 7.71925i | −0.501408 | − | 0.364294i | 0.308147 | − | 0.951339i | \(-0.400291\pi\) |
−0.809554 | + | 0.587045i | \(0.800291\pi\) | |||||||
\(450\) | 0.154300 | 0.00727376 | ||||||||
\(451\) | 9.20313 | + | 9.15374i | 0.433358 | + | 0.431033i | ||||
\(452\) | 8.65087 | 0.406903 | ||||||||
\(453\) | −32.2230 | − | 23.4114i | −1.51397 | − | 1.09996i | ||||
\(454\) | −0.299901 | + | 0.923001i | −0.0140751 | + | 0.0433186i | ||||
\(455\) | 0.0131561 | + | 0.0404904i | 0.000616769 | + | 0.00189822i | ||||
\(456\) | 2.33835 | − | 1.69891i | 0.109503 | − | 0.0795589i | ||||
\(457\) | −12.5000 | + | 9.08176i | −0.584724 | + | 0.424827i | −0.840424 | − | 0.541929i | \(-0.817694\pi\) |
0.255700 | + | 0.966756i | \(0.417694\pi\) | |||||||
\(458\) | 0.761085 | + | 2.34238i | 0.0355632 | + | 0.109452i | ||||
\(459\) | −7.76170 | + | 23.8881i | −0.362285 | + | 1.11500i | ||||
\(460\) | 5.63049 | + | 4.09079i | 0.262523 | + | 0.190734i | ||||
\(461\) | −33.8352 | −1.57586 | −0.787932 | − | 0.615763i | \(-0.788848\pi\) | ||||
−0.787932 | + | 0.615763i | \(0.788848\pi\) | |||||||
\(462\) | 4.97822 | − | 2.55343i | 0.231608 | − | 0.118796i | ||||
\(463\) | 31.7915 | 1.47748 | 0.738738 | − | 0.673993i | \(-0.235422\pi\) | ||||
0.738738 | + | 0.673993i | \(0.235422\pi\) | |||||||
\(464\) | 1.08633 | + | 0.789261i | 0.0504314 | + | 0.0366405i | ||||
\(465\) | −3.13421 | + | 9.64612i | −0.145346 | + | 0.447328i | ||||
\(466\) | 2.05509 | + | 6.32492i | 0.0952002 | + | 0.292996i | ||||
\(467\) | 13.7772 | − | 10.0097i | 0.637531 | − | 0.463194i | −0.221470 | − | 0.975167i | \(-0.571085\pi\) |
0.859001 | + | 0.511974i | \(0.171085\pi\) | |||||||
\(468\) | 0.00531457 | − | 0.00386126i | 0.000245666 | − | 0.000178487i | ||||
\(469\) | 1.97647 | + | 6.08296i | 0.0912650 | + | 0.280885i | ||||
\(470\) | −1.41879 | + | 4.36658i | −0.0654438 | + | 0.201415i | ||||
\(471\) | 15.6797 | + | 11.3920i | 0.722485 | + | 0.524916i | ||||
\(472\) | 10.2177 | 0.470309 | ||||||||
\(473\) | −9.62244 | + | 19.0114i | −0.442440 | + | 0.874144i | ||||
\(474\) | −14.9641 | −0.687323 | ||||||||
\(475\) | 1.38617 | + | 1.00711i | 0.0636017 | + | 0.0462093i | ||||
\(476\) | −1.45868 | + | 4.48935i | −0.0668584 | + | 0.205769i | ||||
\(477\) | 0.672418 | + | 2.06949i | 0.0307879 | + | 0.0947554i | ||||
\(478\) | 17.0322 | − | 12.3746i | 0.779033 | − | 0.566001i | ||||
\(479\) | −24.2477 | + | 17.6170i | −1.10791 | + | 0.804942i | −0.982333 | − | 0.187143i | \(-0.940077\pi\) |
−0.125574 | + | 0.992084i | \(0.540077\pi\) | |||||||
\(480\) | 0.521287 | + | 1.60436i | 0.0237934 | + | 0.0732285i | ||||
\(481\) | 0.111624 | − | 0.343544i | 0.00508963 | − | 0.0156643i | ||||
\(482\) | −6.41748 | − | 4.66257i | −0.292308 | − | 0.212374i | ||||
\(483\) | 11.7404 | 0.534207 | ||||||||
\(484\) | 6.41766 | − | 8.93385i | 0.291712 | − | 0.406084i | ||||
\(485\) | −17.4812 | −0.793781 | ||||||||
\(486\) | −1.29597 | − | 0.941579i | −0.0587865 | − | 0.0427109i | ||||
\(487\) | 0.226524 | − | 0.697170i | 0.0102648 | − | 0.0315918i | −0.945793 | − | 0.324770i | \(-0.894713\pi\) |
0.956058 | + | 0.293178i | \(0.0947130\pi\) | |||||||
\(488\) | −4.28487 | − | 13.1875i | −0.193967 | − | 0.596969i | ||||
\(489\) | −19.2834 | + | 14.0102i | −0.872025 | + | 0.633563i | ||||
\(490\) | 0.809017 | − | 0.587785i | 0.0365477 | − | 0.0265534i | ||||
\(491\) | 3.13633 | + | 9.65263i | 0.141541 | + | 0.435617i | 0.996550 | − | 0.0829954i | \(-0.0264487\pi\) |
−0.855009 | + | 0.518613i | \(0.826449\pi\) | |||||||
\(492\) | −2.04017 | + | 6.27899i | −0.0919778 | + | 0.283079i | ||||
\(493\) | −5.12787 | − | 3.72561i | −0.230948 | − | 0.167793i | ||||
\(494\) | 0.0729463 | 0.00328201 | ||||||||
\(495\) | 0.231104 | − | 0.456600i | 0.0103873 | − | 0.0205226i | ||||
\(496\) | 6.01245 | 0.269967 | ||||||||
\(497\) | −9.14519 | − | 6.64437i | −0.410218 | − | 0.298041i | ||||
\(498\) | −5.25492 | + | 16.1730i | −0.235479 | + | 0.724729i | ||||
\(499\) | −3.45090 | − | 10.6208i | −0.154483 | − | 0.475451i | 0.843625 | − | 0.536933i | \(-0.180417\pi\) |
−0.998108 | + | 0.0614823i | \(0.980417\pi\) | |||||||
\(500\) | −0.809017 | + | 0.587785i | −0.0361803 | + | 0.0262866i | ||||
\(501\) | −21.2921 | + | 15.4696i | −0.951262 | + | 0.691132i | ||||
\(502\) | −5.85374 | − | 18.0159i | −0.261265 | − | 0.804091i | ||||
\(503\) | −2.30604 | + | 7.09725i | −0.102821 | + | 0.316451i | −0.989213 | − | 0.146485i | \(-0.953204\pi\) |
0.886392 | + | 0.462936i | \(0.153204\pi\) | |||||||
\(504\) | −0.124831 | − | 0.0906951i | −0.00556042 | − | 0.00403988i | ||||
\(505\) | −5.70914 | −0.254053 | ||||||||
\(506\) | 20.5385 | − | 10.5346i | 0.913047 | − | 0.468319i | ||||
\(507\) | 21.9269 | 0.973808 | ||||||||
\(508\) | 1.47907 | + | 1.07461i | 0.0656233 | + | 0.0476781i | ||||
\(509\) | −9.52514 | + | 29.3154i | −0.422194 | + | 1.29938i | 0.483461 | + | 0.875366i | \(0.339380\pi\) |
−0.905655 | + | 0.424015i | \(0.860620\pi\) | |||||||
\(510\) | −2.46067 | − | 7.57317i | −0.108960 | − | 0.335346i | ||||
\(511\) | 1.60774 | − | 1.16810i | 0.0711224 | − | 0.0516735i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −2.81733 | − | 8.67085i | −0.124388 | − | 0.382827i | ||||
\(514\) | 8.30015 | − | 25.5452i | 0.366104 | − | 1.12675i | ||||
\(515\) | −10.8450 | − | 7.87936i | −0.477888 | − | 0.347206i | ||||
\(516\) | −10.8377 | −0.477103 | ||||||||
\(517\) | 10.7965 | + | 10.7385i | 0.474828 | + | 0.472280i | ||||
\(518\) | −8.48459 | −0.372791 | ||||||||
\(519\) | 8.47748 | + | 6.15925i | 0.372120 | + | 0.270361i | ||||
\(520\) | −0.0131561 | + | 0.0404904i | −0.000576934 | + | 0.00177562i | ||||
\(521\) | −4.50694 | − | 13.8709i | −0.197453 | − | 0.607697i | −0.999939 | − | 0.0110266i | \(-0.996490\pi\) |
0.802487 | − | 0.596670i | \(-0.203510\pi\) | |||||||
\(522\) | 0.167620 | − | 0.121783i | 0.00733651 | − | 0.00533029i | ||||
\(523\) | 7.75498 | − | 5.63432i | 0.339102 | − | 0.246372i | −0.405181 | − | 0.914236i | \(-0.632792\pi\) |
0.744283 | + | 0.667865i | \(0.232792\pi\) | |||||||
\(524\) | −0.499613 | − | 1.53765i | −0.0218257 | − | 0.0671725i | ||||
\(525\) | −0.521287 | + | 1.60436i | −0.0227508 | + | 0.0700199i | ||||
\(526\) | −10.8206 | − | 7.86164i | −0.471802 | − | 0.342784i | ||||
\(527\) | −28.3811 | −1.23630 | ||||||||
\(528\) | 5.52833 | + | 0.860361i | 0.240590 | + | 0.0374424i | ||||
\(529\) | 25.4369 | 1.10595 | ||||||||
\(530\) | −11.4090 | − | 8.28916i | −0.495577 | − | 0.360058i | ||||
\(531\) | 0.487194 | − | 1.49943i | 0.0211424 | − | 0.0650697i | ||||
\(532\) | −0.529469 | − | 1.62954i | −0.0229554 | − | 0.0706494i | ||||
\(533\) | −0.134801 | + | 0.0979384i | −0.00583886 | + | 0.00424218i | ||||
\(534\) | −4.00365 | + | 2.90882i | −0.173255 | + | 0.125877i | ||||
\(535\) | −4.93405 | − | 15.1854i | −0.213317 | − | 0.656524i | ||||
\(536\) | −1.97647 | + | 6.08296i | −0.0853706 | + | 0.262744i | ||||
\(537\) | 21.7091 | + | 15.7726i | 0.936818 | + | 0.680638i | ||||
\(538\) | 4.05979 | 0.175030 | ||||||||
\(539\) | −0.527646 | − | 3.27438i | −0.0227273 | − | 0.141038i | ||||
\(540\) | 5.32105 | 0.228982 | ||||||||
\(541\) | −1.38485 | − | 1.00615i | −0.0595394 | − | 0.0432579i | 0.557617 | − | 0.830098i | \(-0.311716\pi\) |
−0.617157 | + | 0.786840i | \(0.711716\pi\) | |||||||
\(542\) | −7.11437 | + | 21.8958i | −0.305588 | + | 0.940505i | ||||
\(543\) | 3.44017 | + | 10.5878i | 0.147632 | + | 0.454364i | ||||
\(544\) | −3.81887 | + | 2.77457i | −0.163733 | + | 0.118959i | ||||
\(545\) | −12.9039 | + | 9.37523i | −0.552742 | + | 0.401591i | ||||
\(546\) | 0.0221933 | + | 0.0683041i | 0.000949787 | + | 0.00292314i | ||||
\(547\) | 5.40069 | − | 16.6216i | 0.230917 | − | 0.710688i | −0.766720 | − | 0.641981i | \(-0.778113\pi\) |
0.997637 | − | 0.0687070i | \(-0.0218873\pi\) | |||||||
\(548\) | −8.30594 | − | 6.03462i | −0.354812 | − | 0.257786i | ||||
\(549\) | −2.13954 | −0.0913133 | ||||||||
\(550\) | 0.527646 | + | 3.27438i | 0.0224989 | + | 0.139620i | ||||
\(551\) | 2.30070 | 0.0980131 | ||||||||
\(552\) | 9.49818 | + | 6.90083i | 0.404270 | + | 0.293719i | ||||
\(553\) | −2.74118 | + | 8.43649i | −0.116567 | + | 0.358756i | ||||
\(554\) | 6.88682 | + | 21.1954i | 0.292593 | + | 0.900508i | ||||
\(555\) | 11.5793 | − | 8.41287i | 0.491515 | − | 0.357106i | ||||
\(556\) | 1.57562 | − | 1.14476i | 0.0668213 | − | 0.0485485i | ||||
\(557\) | −7.93849 | − | 24.4322i | −0.336365 | − | 1.03522i | −0.966046 | − | 0.258371i | \(-0.916814\pi\) |
0.629681 | − | 0.776854i | \(-0.283186\pi\) | |||||||
\(558\) | 0.286681 | − | 0.882314i | 0.0121362 | − | 0.0373513i | ||||
\(559\) | −0.221282 | − | 0.160771i | −0.00935923 | − | 0.00679988i | ||||
\(560\) | 1.00000 | 0.0422577 | ||||||||
\(561\) | −26.0958 | − | 4.06123i | −1.10177 | − | 0.171465i | ||||
\(562\) | 2.24959 | 0.0948932 | ||||||||
\(563\) | 15.6491 | + | 11.3697i | 0.659531 | + | 0.479177i | 0.866505 | − | 0.499169i | \(-0.166361\pi\) |
−0.206973 | + | 0.978347i | \(0.566361\pi\) | |||||||
\(564\) | −2.39338 | + | 7.36607i | −0.100780 | + | 0.310168i | ||||
\(565\) | 2.67326 | + | 8.22746i | 0.112465 | + | 0.346132i | ||||
\(566\) | −3.00173 | + | 2.18089i | −0.126172 | + | 0.0916695i | ||||
\(567\) | 6.88740 | − | 5.00399i | 0.289244 | − | 0.210148i | ||||
\(568\) | −3.49315 | − | 10.7508i | −0.146569 | − | 0.451094i | ||||
\(569\) | 0.469462 | − | 1.44485i | 0.0196809 | − | 0.0605714i | −0.940734 | − | 0.339146i | \(-0.889862\pi\) |
0.960415 | + | 0.278575i | \(0.0898619\pi\) | |||||||
\(570\) | 2.33835 | + | 1.69891i | 0.0979428 | + | 0.0711596i | ||||
\(571\) | 4.97687 | 0.208276 | 0.104138 | − | 0.994563i | \(-0.466792\pi\) | ||||
0.104138 | + | 0.994563i | \(0.466792\pi\) | |||||||
\(572\) | 0.100113 | + | 0.0995762i | 0.00418595 | + | 0.00416349i | ||||
\(573\) | −28.9628 | −1.20994 | ||||||||
\(574\) | 3.16626 | + | 2.30042i | 0.132157 | + | 0.0960177i | ||||
\(575\) | −2.15065 | + | 6.61903i | −0.0896885 | + | 0.276033i | ||||
\(576\) | −0.0476812 | − | 0.146748i | −0.00198672 | − | 0.00611449i | ||||
\(577\) | 25.5732 | − | 18.5800i | 1.06463 | − | 0.773497i | 0.0896883 | − | 0.995970i | \(-0.471413\pi\) |
0.974939 | + | 0.222473i | \(0.0714129\pi\) | |||||||
\(578\) | 4.27322 | − | 3.10468i | 0.177743 | − | 0.129138i | ||||
\(579\) | 5.32675 | + | 16.3941i | 0.221372 | + | 0.681314i | ||||
\(580\) | −0.414939 | + | 1.27705i | −0.0172294 | + | 0.0530267i | ||||
\(581\) | 8.15543 | + | 5.92527i | 0.338344 | + | 0.245822i | ||||
\(582\) | −29.4894 | −1.22238 | ||||||||
\(583\) | −41.6171 | + | 21.3462i | −1.72360 | + | 0.884069i | ||||
\(584\) | 1.98728 | 0.0822343 | ||||||||
\(585\) | 0.00531457 | + | 0.00386126i | 0.000219731 | + | 0.000159644i | ||||
\(586\) | −0.572205 | + | 1.76107i | −0.0236376 | + | 0.0727490i | ||||
\(587\) | 2.19984 | + | 6.77043i | 0.0907973 | + | 0.279445i | 0.986136 | − | 0.165941i | \(-0.0530662\pi\) |
−0.895338 | + | 0.445387i | \(0.853066\pi\) | |||||||
\(588\) | 1.36475 | − | 0.991547i | 0.0562812 | − | 0.0408907i | ||||
\(589\) | 8.33426 | − | 6.05520i | 0.343407 | − | 0.249500i | ||||
\(590\) | 3.15745 | + | 9.71764i | 0.129990 | + | 0.400069i | ||||
\(591\) | 3.82243 | − | 11.7642i | 0.157234 | − | 0.483916i | ||||
\(592\) | −6.86418 | − | 4.98712i | −0.282116 | − | 0.204969i | ||||
\(593\) | −18.4209 | −0.756456 | −0.378228 | − | 0.925713i | \(-0.623466\pi\) | ||||
−0.378228 | + | 0.925713i | \(0.623466\pi\) | |||||||
\(594\) | 7.96966 | − | 15.7459i | 0.326999 | − | 0.646063i | ||||
\(595\) | −4.72038 | −0.193517 | ||||||||
\(596\) | 5.23370 | + | 3.80250i | 0.214381 | + | 0.155757i | ||||
\(597\) | 4.64129 | − | 14.2844i | 0.189955 | − | 0.584623i | ||||
\(598\) | 0.0915622 | + | 0.281800i | 0.00374426 | + | 0.0115236i | ||||
\(599\) | 0.989585 | − | 0.718975i | 0.0404333 | − | 0.0293765i | −0.567385 | − | 0.823453i | \(-0.692045\pi\) |
0.607818 | + | 0.794076i | \(0.292045\pi\) | |||||||
\(600\) | −1.36475 | + | 0.991547i | −0.0557156 | + | 0.0404797i | ||||
\(601\) | −6.39321 | − | 19.6763i | −0.260784 | − | 0.802612i | −0.992635 | − | 0.121146i | \(-0.961343\pi\) |
0.731850 | − | 0.681465i | \(-0.238657\pi\) | |||||||
\(602\) | −1.98530 | + | 6.11011i | −0.0809146 | + | 0.249030i | ||||
\(603\) | 0.798420 | + | 0.580086i | 0.0325142 | + | 0.0236229i | ||||
\(604\) | −23.6110 | −0.960717 | ||||||||
\(605\) | 10.4798 | + | 3.34284i | 0.426063 | + | 0.135906i | ||||
\(606\) | −9.63087 | −0.391227 | ||||||||
\(607\) | 8.33557 | + | 6.05615i | 0.338330 | + | 0.245811i | 0.743957 | − | 0.668227i | \(-0.232947\pi\) |
−0.405627 | + | 0.914039i | \(0.632947\pi\) | |||||||
\(608\) | 0.529469 | − | 1.62954i | 0.0214728 | − | 0.0660864i | ||||
\(609\) | 0.699970 | + | 2.15428i | 0.0283642 | + | 0.0872960i | ||||
\(610\) | 11.2179 | − | 8.15030i | 0.454201 | − | 0.329996i | ||||
\(611\) | −0.158139 | + | 0.114895i | −0.00639761 | + | 0.00464814i | ||||
\(612\) | 0.225074 | + | 0.692705i | 0.00909806 | + | 0.0280009i | ||||
\(613\) | −13.2106 | + | 40.6579i | −0.533569 | + | 1.64216i | 0.213151 | + | 0.977019i | \(0.431627\pi\) |
−0.746720 | + | 0.665138i | \(0.768373\pi\) | |||||||
\(614\) | −5.39598 | − | 3.92041i | −0.217764 | − | 0.158215i | ||||
\(615\) | −6.60212 | −0.266223 | ||||||||
\(616\) | 1.49776 | − | 2.95917i | 0.0603465 | − | 0.119229i | ||||
\(617\) | 10.3582 | 0.417004 | 0.208502 | − | 0.978022i | \(-0.433141\pi\) | ||||
0.208502 | + | 0.978022i | \(0.433141\pi\) | |||||||
\(618\) | −18.2947 | − | 13.2918i | −0.735919 | − | 0.534676i | ||||
\(619\) | 4.41589 | − | 13.5907i | 0.177490 | − | 0.546257i | −0.822249 | − | 0.569128i | \(-0.807281\pi\) |
0.999738 | + | 0.0228714i | \(0.00728084\pi\) | |||||||
\(620\) | 1.85795 | + | 5.71818i | 0.0746171 | + | 0.229648i | ||||
\(621\) | 29.9601 | − | 21.7673i | 1.20226 | − | 0.873492i | ||||
\(622\) | 12.2137 | − | 8.87374i | 0.489723 | − | 0.355805i | ||||
\(623\) | 0.906538 | + | 2.79004i | 0.0363197 | + | 0.111780i | ||||
\(624\) | −0.0221933 | + | 0.0683041i | −0.000888445 | + | 0.00273435i | ||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | −7.33744 | −0.293263 | ||||||||
\(627\) | 8.52967 | − | 4.37503i | 0.340642 | − | 0.174722i | ||||
\(628\) | 11.4891 | 0.458466 | ||||||||
\(629\) | 32.4015 | + | 23.5411i | 1.29193 | + | 0.938645i | ||||
\(630\) | 0.0476812 | − | 0.146748i | 0.00189967 | − | 0.00584657i | ||||
\(631\) | −3.59946 | − | 11.0780i | −0.143292 | − | 0.441008i | 0.853495 | − | 0.521100i | \(-0.174478\pi\) |
−0.996787 | + | 0.0800929i | \(0.974478\pi\) | |||||||
\(632\) | −7.17650 | + | 5.21404i | −0.285466 | + | 0.207403i | ||||
\(633\) | 6.20642 | − | 4.50923i | 0.246683 | − | 0.179226i | ||||
\(634\) | −6.94978 | − | 21.3892i | −0.276011 | − | 0.849475i | ||||
\(635\) | −0.564956 | + | 1.73876i | −0.0224196 | + | 0.0690005i | ||||
\(636\) | −19.2462 | − | 13.9831i | −0.763160 | − | 0.554468i | ||||
\(637\) | 0.0425741 | 0.00168685 | ||||||||
\(638\) | 3.15754 | + | 3.14060i | 0.125008 | + | 0.124337i | ||||
\(639\) | −1.74422 | −0.0690001 | ||||||||
\(640\) | 0.809017 | + | 0.587785i | 0.0319792 | + | 0.0232343i | ||||
\(641\) | 5.56992 | − | 17.1425i | 0.219999 | − | 0.677087i | −0.778762 | − | 0.627319i | \(-0.784152\pi\) |
0.998761 | − | 0.0497672i | \(-0.0158479\pi\) | |||||||
\(642\) | −8.32335 | − | 25.6166i | −0.328496 | − | 1.01101i | ||||
\(643\) | 8.62576 | − | 6.26698i | 0.340167 | − | 0.247146i | −0.404565 | − | 0.914509i | \(-0.632577\pi\) |
0.744732 | + | 0.667363i | \(0.232577\pi\) | |||||||
\(644\) | 5.63049 | − | 4.09079i | 0.221872 | − | 0.161200i | ||||
\(645\) | −3.34904 | − | 10.3073i | −0.131868 | − | 0.405848i | ||||
\(646\) | −2.49929 | + | 7.69203i | −0.0983334 | + | 0.302639i | ||||
\(647\) | 17.5810 | + | 12.7734i | 0.691182 | + | 0.502173i | 0.877048 | − | 0.480402i | \(-0.159509\pi\) |
−0.185867 | + | 0.982575i | \(0.559509\pi\) | |||||||
\(648\) | 8.51329 | 0.334434 | ||||||||
\(649\) | 33.4853 | + | 5.21124i | 1.31441 | + | 0.204559i | ||||
\(650\) | −0.0425741 | −0.00166989 | ||||||||
\(651\) | 8.20548 | + | 5.96163i | 0.321598 | + | 0.233655i | ||||
\(652\) | −4.36630 | + | 13.4381i | −0.170997 | + | 0.526276i | ||||
\(653\) | 0.328175 | + | 1.01002i | 0.0128425 | + | 0.0395251i | 0.957272 | − | 0.289188i | \(-0.0933852\pi\) |
−0.944430 | + | 0.328713i | \(0.893385\pi\) | |||||||
\(654\) | −21.7678 | + | 15.8153i | −0.851190 | + | 0.618426i | ||||
\(655\) | 1.30800 | − | 0.950320i | 0.0511079 | − | 0.0371321i | ||||
\(656\) | 1.20940 | + | 3.72216i | 0.0472193 | + | 0.145326i | ||||
\(657\) | 0.0947560 | − | 0.291629i | 0.00369679 | − | 0.0113775i | ||||
\(658\) | 3.71443 | + | 2.69869i | 0.144804 | + | 0.105206i | ||||
\(659\) | 33.2641 | 1.29578 | 0.647892 | − | 0.761732i | \(-0.275651\pi\) | ||||
0.647892 | + | 0.761732i | \(0.275651\pi\) | |||||||
\(660\) | 0.890097 | + | 5.52362i | 0.0346470 | + | 0.215007i | ||||
\(661\) | −8.99126 | −0.349719 | −0.174860 | − | 0.984593i | \(-0.555947\pi\) | ||||
−0.174860 | + | 0.984593i | \(0.555947\pi\) | |||||||
\(662\) | 8.34536 | + | 6.06326i | 0.324351 | + | 0.235655i | ||||
\(663\) | 0.104761 | − | 0.322421i | 0.00406858 | − | 0.0125218i | ||||
\(664\) | 3.11510 | + | 9.58728i | 0.120889 | + | 0.372059i | ||||
\(665\) | 1.38617 | − | 1.00711i | 0.0537532 | − | 0.0390540i | ||||
\(666\) | −1.05914 | + | 0.769511i | −0.0410409 | + | 0.0298179i | ||||
\(667\) | 2.88784 | + | 8.88785i | 0.111818 | + | 0.344139i | ||||
\(668\) | −4.82113 | + | 14.8379i | −0.186535 | + | 0.574097i | ||||
\(669\) | 24.6612 | + | 17.9174i | 0.953457 | + | 0.692727i | ||||
\(670\) | −6.39600 | −0.247099 | ||||||||
\(671\) | −7.31641 | − | 45.4030i | −0.282447 | − | 1.75276i | ||||
\(672\) | 1.68692 | 0.0650744 | ||||||||
\(673\) | 7.59648 | + | 5.51916i | 0.292823 | + | 0.212748i | 0.724491 | − | 0.689284i | \(-0.242075\pi\) |
−0.431668 | + | 0.902032i | \(0.642075\pi\) | |||||||
\(674\) | 8.40752 | − | 25.8757i | 0.323845 | − | 0.996694i | ||||
\(675\) | 1.64430 | + | 5.06062i | 0.0632890 | + | 0.194783i | ||||
\(676\) | 10.5158 | − | 7.64014i | 0.404452 | − | 0.293852i | ||||
\(677\) | −30.5048 | + | 22.1630i | −1.17239 | + | 0.851794i | −0.991294 | − | 0.131670i | \(-0.957966\pi\) |
−0.181101 | + | 0.983465i | \(0.557966\pi\) | |||||||
\(678\) | 4.50958 | + | 13.8791i | 0.173190 | + | 0.533023i | ||||
\(679\) | −5.40199 | + | 16.6256i | −0.207310 | + | 0.638033i | ||||
\(680\) | −3.81887 | − | 2.77457i | −0.146447 | − | 0.106400i | ||||
\(681\) | −1.63716 | −0.0627360 | ||||||||
\(682\) | 19.7039 | + | 3.06647i | 0.754500 | + | 0.117421i | ||||
\(683\) | 11.5317 | 0.441248 | 0.220624 | − | 0.975359i | \(-0.429191\pi\) | ||||
0.220624 | + | 0.975359i | \(0.429191\pi\) | |||||||
\(684\) | −0.213885 | − | 0.155397i | −0.00817810 | − | 0.00594174i | ||||
\(685\) | 3.17259 | − | 9.76422i | 0.121218 | − | 0.373072i | ||||
\(686\) | −0.309017 | − | 0.951057i | −0.0117983 | − | 0.0363115i | ||||
\(687\) | −3.36127 | + | 2.44211i | −0.128240 | + | 0.0931721i | ||||
\(688\) | −5.19757 | + | 3.77626i | −0.198156 | + | 0.143968i | ||||
\(689\) | −0.185532 | − | 0.571010i | −0.00706822 | − | 0.0217537i | ||||
\(690\) | −3.62798 | + | 11.1658i | −0.138115 | + | 0.425074i | ||||
\(691\) | 10.2972 | + | 7.48133i | 0.391722 | + | 0.284603i | 0.766161 | − | 0.642649i | \(-0.222165\pi\) |
−0.374439 | + | 0.927252i | \(0.622165\pi\) | |||||||
\(692\) | 6.21176 | 0.236136 | ||||||||
\(693\) | −0.362837 | − | 0.360890i | −0.0137830 | − | 0.0137091i | ||||
\(694\) | 6.65299 | 0.252544 | ||||||||
\(695\) | 1.57562 | + | 1.14476i | 0.0597668 | + | 0.0434231i | ||||
\(696\) | −0.699970 | + | 2.15428i | −0.0265323 | + | 0.0816580i | ||||
\(697\) | −5.70884 | − | 17.5700i | −0.216238 | − | 0.665512i | ||||
\(698\) | −20.5960 | + | 14.9639i | −0.779572 | + | 0.566392i | ||||
\(699\) | −9.07613 | + | 6.59420i | −0.343291 | + | 0.249415i | ||||
\(700\) | 0.309017 | + | 0.951057i | 0.0116797 | + | 0.0359466i | ||||
\(701\) | 3.46061 | − | 10.6507i | 0.130705 | − | 0.402270i | −0.864192 | − | 0.503162i | \(-0.832170\pi\) |
0.994897 | + | 0.100892i | \(0.0321697\pi\) | |||||||
\(702\) | 0.183274 | + | 0.133156i | 0.00691723 | + | 0.00502566i | ||||
\(703\) | −14.5375 | −0.548291 | ||||||||
\(704\) | 2.95107 | − | 1.51366i | 0.111223 | − | 0.0570483i | ||||
\(705\) | −7.74515 | −0.291699 | ||||||||
\(706\) | −23.5087 | − | 17.0801i | −0.884763 | − | 0.642818i | ||||
\(707\) | −1.76422 | + | 5.42972i | −0.0663504 | + | 0.204205i | ||||
\(708\) | 5.32637 | + | 16.3929i | 0.200177 | + | 0.616082i | ||||
\(709\) | 23.0362 | − | 16.7368i | 0.865144 | − | 0.628564i | −0.0641354 | − | 0.997941i | \(-0.520429\pi\) |
0.929280 | + | 0.369377i | \(0.120429\pi\) | |||||||
\(710\) | 9.14519 | − | 6.64437i | 0.343213 | − | 0.249359i | ||||
\(711\) | 0.422963 | + | 1.30175i | 0.0158624 | + | 0.0488193i | ||||
\(712\) | −0.906538 | + | 2.79004i | −0.0339739 | + | 0.104561i | ||||
\(713\) | 33.8530 | + | 24.5957i | 1.26781 | + | 0.921115i | ||||
\(714\) | −7.96291 | −0.298004 | ||||||||
\(715\) | −0.0637658 | + | 0.125984i | −0.00238471 | + | 0.00471154i | ||||
\(716\) | 15.9071 | 0.594475 | ||||||||
\(717\) | 28.7319 | + | 20.8749i | 1.07301 | + | 0.779589i | ||||
\(718\) | 8.75211 | − | 26.9362i | 0.326626 | − | 1.00525i | ||||
\(719\) | −13.7812 | − | 42.4140i | −0.513951 | − | 1.58178i | −0.785183 | − | 0.619263i | \(-0.787431\pi\) |
0.271233 | − | 0.962514i | \(-0.412569\pi\) | |||||||
\(720\) | 0.124831 | − | 0.0906951i | 0.00465218 | − | 0.00338001i | ||||
\(721\) | −10.8450 | + | 7.87936i | −0.403889 | + | 0.293443i | ||||
\(722\) | 4.96413 | + | 15.2780i | 0.184746 | + | 0.568589i | ||||
\(723\) | 4.13508 | − | 12.7265i | 0.153785 | − | 0.473302i | ||||
\(724\) | 5.33901 | + | 3.87902i | 0.198423 | + | 0.144163i | ||||
\(725\) | −1.34277 | −0.0498693 | ||||||||
\(726\) | 17.6785 | + | 5.63911i | 0.656112 | + | 0.209287i | ||||
\(727\) | 50.4565 | 1.87133 | 0.935664 | − | 0.352892i | \(-0.114802\pi\) | ||||
0.935664 | + | 0.352892i | \(0.114802\pi\) | |||||||
\(728\) | 0.0344432 | + | 0.0250244i | 0.00127655 | + | 0.000927467i | ||||
\(729\) | 8.72731 | − | 26.8599i | 0.323234 | − | 0.994811i | ||||
\(730\) | 0.614104 | + | 1.89002i | 0.0227290 | + | 0.0699527i | ||||
\(731\) | 24.5345 | − | 17.8254i | 0.907442 | − | 0.659295i | ||||
\(732\) | 18.9238 | − | 13.7489i | 0.699442 | − | 0.508174i | ||||
\(733\) | 11.7734 | + | 36.2348i | 0.434860 | + | 1.33836i | 0.893230 | + | 0.449600i | \(0.148434\pi\) |
−0.458370 | + | 0.888762i | \(0.651566\pi\) | |||||||
\(734\) | 8.50364 | − | 26.1715i | 0.313875 | − | 0.966008i | ||||
\(735\) | 1.36475 | + | 0.991547i | 0.0503395 | + | 0.0365738i | ||||
\(736\) | 6.95966 | 0.256537 | ||||||||
\(737\) | −9.57967 | + | 18.9269i | −0.352872 | + | 0.697181i | ||||
\(738\) | 0.603884 | 0.0222293 | ||||||||
\(739\) | −0.613466 | − | 0.445709i | −0.0225667 | − | 0.0163957i | 0.576445 | − | 0.817136i | \(-0.304440\pi\) |
−0.599011 | + | 0.800740i | \(0.704440\pi\) | |||||||
\(740\) | 2.62188 | − | 8.06932i | 0.0963823 | − | 0.296634i | ||||
\(741\) | 0.0380260 | + | 0.117032i | 0.00139692 | + | 0.00429928i | ||||
\(742\) | −11.4090 | + | 8.28916i | −0.418839 | + | 0.304305i | ||||
\(743\) | 28.0830 | − | 20.4035i | 1.03027 | − | 0.748532i | 0.0619040 | − | 0.998082i | \(-0.480283\pi\) |
0.968362 | + | 0.249550i | \(0.0802827\pi\) | |||||||
\(744\) | 3.13421 | + | 9.64612i | 0.114906 | + | 0.353644i | ||||
\(745\) | −1.99909 | + | 6.15258i | −0.0732411 | + | 0.225413i | ||||
\(746\) | −18.5512 | − | 13.4782i | −0.679208 | − | 0.493473i | ||||
\(747\) | 1.55544 | 0.0569107 | ||||||||
\(748\) | −13.9302 | + | 7.14506i | −0.509338 | + | 0.261249i | ||||
\(749\) | −15.9669 | −0.583418 | ||||||||
\(750\) | −1.36475 | − | 0.991547i | −0.0498335 | − | 0.0362062i | ||||
\(751\) | −14.2175 | + | 43.7570i | −0.518804 | + | 1.59672i | 0.257447 | + | 0.966292i | \(0.417119\pi\) |
−0.776252 | + | 0.630423i | \(0.782881\pi\) | |||||||
\(752\) | 1.41879 | + | 4.36658i | 0.0517379 | + | 0.159233i | ||||
\(753\) | 25.8525 | − | 18.7830i | 0.942118 | − | 0.684489i | ||||
\(754\) | −0.0462493 | + | 0.0336021i | −0.00168430 | + | 0.00122372i | ||||
\(755\) | −7.29619 | − | 22.4554i | −0.265536 | − | 0.817235i | ||||
\(756\) | 1.64430 | − | 5.06062i | 0.0598025 | − | 0.184053i | ||||
\(757\) | 18.7292 | + | 13.6075i | 0.680723 | + | 0.494574i | 0.873597 | − | 0.486649i | \(-0.161781\pi\) |
−0.192874 | + | 0.981223i | \(0.561781\pi\) | |||||||
\(758\) | −15.4140 | −0.559862 | ||||||||
\(759\) | 27.6077 | + | 27.4595i | 1.00209 | + | 0.996717i | ||||
\(760\) | 1.71340 | 0.0621514 | ||||||||
\(761\) | −5.82188 | − | 4.22984i | −0.211043 | − | 0.153332i | 0.477242 | − | 0.878772i | \(-0.341636\pi\) |
−0.688285 | + | 0.725440i | \(0.741636\pi\) | |||||||
\(762\) | −0.953036 | + | 2.93314i | −0.0345249 | + | 0.106257i | ||||
\(763\) | 4.92885 | + | 15.1694i | 0.178436 | + | 0.549170i | ||||
\(764\) | −13.8900 | + | 10.0917i | −0.502524 | + | 0.365105i | ||||
\(765\) | −0.589250 | + | 0.428115i | −0.0213044 | + | 0.0154785i | ||||
\(766\) | 9.54636 | + | 29.3807i | 0.344924 | + | 1.06157i | ||||
\(767\) | −0.134426 | + | 0.413720i | −0.00485383 | + | 0.0149386i | ||||
\(768\) | 1.36475 | + | 0.991547i | 0.0492461 | + | 0.0357794i | ||||
\(769\) | 8.64296 | 0.311673 | 0.155837 | − | 0.987783i | \(-0.450193\pi\) | ||||
0.155837 | + | 0.987783i | \(0.450193\pi\) | |||||||
\(770\) | 3.27718 | + | 0.510019i | 0.118101 | + | 0.0183798i | ||||
\(771\) | 45.3104 | 1.63181 | ||||||||
\(772\) | 8.26691 | + | 6.00626i | 0.297533 | + | 0.216170i | ||||
\(773\) | −12.1811 | + | 37.4897i | −0.438125 | + | 1.34841i | 0.451725 | + | 0.892157i | \(0.350809\pi\) |
−0.889850 | + | 0.456253i | \(0.849191\pi\) | |||||||
\(774\) | 0.306331 | + | 0.942788i | 0.0110108 | + | 0.0338878i | ||||
\(775\) | −4.86418 | + | 3.53403i | −0.174726 | + | 0.126946i | ||||
\(776\) | −14.1426 | + | 10.2752i | −0.507690 | + | 0.368858i | ||||
\(777\) | −4.42291 | − | 13.6123i | −0.158671 | − | 0.488339i | ||||
\(778\) | −0.139877 | + | 0.430497i | −0.00501483 | + | 0.0154341i | ||||
\(779\) | 5.42506 | + | 3.94153i | 0.194373 | + | 0.141220i | ||||
\(780\) | −0.0718191 | −0.00257154 | ||||||||
\(781\) | −5.96455 | − | 37.0139i | −0.213428 | − | 1.32446i | ||||
\(782\) | −32.8523 | −1.17479 | ||||||||
\(783\) | 5.78039 | + | 4.19970i | 0.206574 | + | 0.150085i | ||||
\(784\) | 0.309017 | − | 0.951057i | 0.0110363 | − | 0.0339663i | ||||
\(785\) | 3.55033 | + | 10.9268i | 0.126717 | + | 0.389994i | ||||
\(786\) | 2.20650 | − | 1.60311i | 0.0787031 | − | 0.0571812i | ||||
\(787\) | 35.8244 | − | 26.0279i | 1.27700 | − | 0.927796i | 0.277543 | − | 0.960713i | \(-0.410480\pi\) |
0.999458 | + | 0.0329175i | \(0.0104798\pi\) | |||||||
\(788\) | −2.26592 | − | 6.97380i | −0.0807202 | − | 0.248431i | ||||
\(789\) | 6.97223 | − | 21.4583i | 0.248218 | − | 0.763936i | ||||
\(790\) | −7.17650 | − | 5.21404i | −0.255329 | − | 0.185507i | ||||
\(791\) | 8.65087 | 0.307589 | ||||||||
\(792\) | −0.0814156 | − | 0.505236i | −0.00289298 | − | 0.0179528i | ||||
\(793\) | 0.590338 | 0.0209635 | ||||||||
\(794\) | 19.5186 | + | 14.1811i | 0.692688 | + | 0.503267i | ||||
\(795\) | 7.35138 | − | 22.6252i | 0.260726 | − | 0.802434i | ||||
\(796\) | −2.75134 | − | 8.46775i | −0.0975186 | − | 0.300132i | ||||
\(797\) | 16.9716 | − | 12.3306i | 0.601165 | − | 0.436772i | −0.245127 | − | 0.969491i | \(-0.578830\pi\) |
0.846292 | + | 0.532719i | \(0.178830\pi\) | |||||||
\(798\) | 2.33835 | − | 1.69891i | 0.0827768 | − | 0.0601409i | ||||
\(799\) | −6.69722 | − | 20.6119i | −0.236931 | − | 0.729197i | ||||
\(800\) | −0.309017 | + | 0.951057i | −0.0109254 | + | 0.0336249i | ||||
\(801\) | 0.366207 | + | 0.266065i | 0.0129393 | + | 0.00940093i | ||||
\(802\) | 11.2261 | 0.396406 | ||||||||
\(803\) | 6.51267 | + | 1.01355i | 0.229827 | + | 0.0357675i | ||||
\(804\) | −10.7895 | −0.380518 | ||||||||
\(805\) | 5.63049 | + | 4.09079i | 0.198449 | + | 0.144181i | ||||
\(806\) | −0.0791006 | + | 0.243447i | −0.00278620 | + | 0.00857504i | ||||
\(807\) | 2.11632 | + | 6.51335i | 0.0744979 | + | 0.229281i | ||||
\(808\) | −4.61879 | + | 3.35575i | −0.162489 | + | 0.118055i | ||||
\(809\) | 19.6326 | − | 14.2639i | 0.690245 | − | 0.501492i | −0.186496 | − | 0.982456i | \(-0.559713\pi\) |
0.876741 | + | 0.480963i | \(0.159713\pi\) | |||||||
\(810\) | 2.63075 | + | 8.09662i | 0.0924352 | + | 0.284486i | ||||
\(811\) | −11.4434 | + | 35.2190i | −0.401830 | + | 1.23671i | 0.521682 | + | 0.853140i | \(0.325305\pi\) |
−0.923513 | + | 0.383567i | \(0.874695\pi\) | |||||||
\(812\) | 1.08633 | + | 0.789261i | 0.0381225 | + | 0.0276976i | ||||
\(813\) | −38.8373 | −1.36208 | ||||||||
\(814\) | −19.9516 | − | 19.8445i | −0.699303 | − | 0.695550i | ||||
\(815\) | −14.1296 | −0.494940 | ||||||||
\(816\) | −6.44213 | − | 4.68048i | −0.225520 | − | 0.163850i | ||||
\(817\) | −3.40160 | + | 10.4690i | −0.119007 | + | 0.366265i | ||||
\(818\) | 9.41797 | + | 28.9855i | 0.329291 | + | 1.01345i | ||||
\(819\) | 0.00531457 | − | 0.00386126i | 0.000185706 | − | 0.000134923i | ||||
\(820\) | −3.16626 | + | 2.30042i | −0.110571 | + | 0.0803342i | ||||
\(821\) | 6.80912 | + | 20.9563i | 0.237640 | + | 0.731380i | 0.996760 | + | 0.0804300i | \(0.0256293\pi\) |
−0.759120 | + | 0.650950i | \(0.774371\pi\) | |||||||
\(822\) | 5.35190 | − | 16.4715i | 0.186669 | − | 0.574508i | ||||
\(823\) | −20.7880 | − | 15.1034i | −0.724624 | − | 0.526470i | 0.163234 | − | 0.986587i | \(-0.447807\pi\) |
−0.887858 | + | 0.460117i | \(0.847807\pi\) | |||||||
\(824\) | −13.4052 | −0.466991 | ||||||||
\(825\) | −4.97822 | + | 2.55343i | −0.173320 | + | 0.0888989i | ||||
\(826\) | 10.2177 | 0.355520 | ||||||||
\(827\) | 13.6641 | + | 9.92753i | 0.475146 | + | 0.345214i | 0.799444 | − | 0.600741i | \(-0.205128\pi\) |
−0.324297 | + | 0.945955i | \(0.605128\pi\) | |||||||
\(828\) | 0.331845 | − | 1.02132i | 0.0115324 | − | 0.0354932i | ||||
\(829\) | −6.32362 | − | 19.4621i | −0.219628 | − | 0.675947i | −0.998793 | − | 0.0491267i | \(-0.984356\pi\) |
0.779164 | − | 0.626820i | \(-0.215644\pi\) | |||||||
\(830\) | −8.15543 | + | 5.92527i | −0.283079 | + | 0.205669i | ||||
\(831\) | −30.4150 | + | 22.0978i | −1.05509 | + | 0.766565i | ||||
\(832\) | 0.0131561 | + | 0.0404904i | 0.000456107 | + | 0.00140375i | ||||
\(833\) | −1.45868 | + | 4.48935i | −0.0505402 | + | 0.155547i | ||||
\(834\) | 2.65795 | + | 1.93111i | 0.0920373 | + | 0.0668690i | ||||
\(835\) | −15.6015 | −0.539913 | ||||||||
\(836\) | 2.56626 | − | 5.07024i | 0.0887558 | − | 0.175358i | ||||
\(837\) | 31.9926 | 1.10583 | ||||||||
\(838\) | 9.60385 | + | 6.97761i | 0.331759 | + | 0.241037i | ||||
\(839\) | 10.5187 | − | 32.3733i | 0.363147 | − | 1.11765i | −0.587987 | − | 0.808870i | \(-0.700079\pi\) |
0.951134 | − | 0.308780i | \(-0.0999207\pi\) | |||||||
\(840\) | 0.521287 | + | 1.60436i | 0.0179861 | + | 0.0553556i | ||||
\(841\) | 22.0028 | − | 15.9860i | 0.758717 | − | 0.551240i | ||||
\(842\) | 19.2284 | − | 13.9702i | 0.662654 | − | 0.481446i | ||||
\(843\) | 1.17268 | + | 3.60914i | 0.0403893 | + | 0.124305i | ||||
\(844\) | 1.40531 | − | 4.32509i | 0.0483727 | − | 0.148876i | ||||
\(845\) | 10.5158 | + | 7.64014i | 0.361753 | + | 0.262829i | ||||
\(846\) | 0.708435 | 0.0243565 | ||||||||
\(847\) | 6.41766 | − | 8.93385i | 0.220513 | − | 0.306971i | ||||
\(848\) | −14.1024 | −0.484277 | ||||||||
\(849\) | −5.06368 | − | 3.67898i | −0.173785 | − | 0.126262i | ||||
\(850\) | 1.45868 | − | 4.48935i | 0.0500322 | − | 0.153983i | ||||
\(851\) | −18.2474 | − | 56.1598i | −0.625514 | − | 1.92513i | ||||
\(852\) | 15.4272 | − | 11.2085i | 0.528527 | − | 0.383998i | ||||
\(853\) | 16.7298 | − | 12.1549i | 0.572816 | − | 0.416175i | −0.263311 | − | 0.964711i | \(-0.584814\pi\) |
0.836127 | + | 0.548536i | \(0.184814\pi\) | |||||||
\(854\) | −4.28487 | − | 13.1875i | −0.146625 | − | 0.451266i | ||||
\(855\) | 0.0816968 | − | 0.251437i | 0.00279397 | − | 0.00859897i | ||||
\(856\) | −12.9175 | − | 9.38512i | −0.441511 | − | 0.320777i | ||||
\(857\) | −44.5639 | −1.52227 | −0.761136 | − | 0.648592i | \(-0.775358\pi\) | ||||
−0.761136 | + | 0.648592i | \(0.775358\pi\) | |||||||
\(858\) | −0.107568 | + | 0.212525i | −0.00367231 | + | 0.00725550i | ||||
\(859\) | 0.992443 | 0.0338617 | 0.0169309 | − | 0.999857i | \(-0.494610\pi\) | ||||
0.0169309 | + | 0.999857i | \(0.494610\pi\) | |||||||
\(860\) | −5.19757 | − | 3.77626i | −0.177236 | − | 0.128769i | ||||
\(861\) | −2.04017 | + | 6.27899i | −0.0695287 | + | 0.213987i | ||||
\(862\) | −8.40339 | − | 25.8630i | −0.286221 | − | 0.880896i | ||||
\(863\) | −27.5193 | + | 19.9939i | −0.936767 | + | 0.680601i | −0.947640 | − | 0.319340i | \(-0.896539\pi\) |
0.0108730 | + | 0.999941i | \(0.496539\pi\) | |||||||
\(864\) | 4.30482 | − | 3.12764i | 0.146453 | − | 0.106404i | ||||
\(865\) | 1.91954 | + | 5.90774i | 0.0652663 | + | 0.200869i | ||||
\(866\) | 0.683128 | − | 2.10245i | 0.0232136 | − | 0.0714442i | ||||
\(867\) | 7.20858 | + | 5.23734i | 0.244816 | + | 0.177870i | ||||
\(868\) | 6.01245 | 0.204076 | ||||||||
\(869\) | −26.1779 | + | 13.4272i | −0.888025 | + | 0.455485i | ||||
\(870\) | −2.26515 | −0.0767957 | ||||||||
\(871\) | −0.220299 | − | 0.160056i | −0.00746453 | − | 0.00542330i | ||||
\(872\) | −4.92885 | + | 15.1694i | −0.166912 | + | 0.513702i | ||||
\(873\) | 0.833526 | + | 2.56533i | 0.0282106 | + | 0.0868232i | ||||
\(874\) | 9.64726 | − | 7.00914i | 0.326323 | − | 0.237088i | ||||
\(875\) | −0.809017 | + | 0.587785i | −0.0273498 | + | 0.0198708i | ||||
\(876\) | 1.03594 | + | 3.18831i | 0.0350013 | + | 0.107723i | ||||
\(877\) | 11.6614 | − | 35.8900i | 0.393777 | − | 1.21192i | −0.536133 | − | 0.844133i | \(-0.680116\pi\) |
0.929910 | − | 0.367787i | \(-0.119884\pi\) | |||||||
\(878\) | −5.24231 | − | 3.80876i | −0.176919 | − | 0.128540i | ||||
\(879\) | −3.12366 | −0.105359 | ||||||||
\(880\) | 2.35151 | + | 2.33889i | 0.0792694 | + | 0.0788440i | ||||
\(881\) | 12.1850 | 0.410522 | 0.205261 | − | 0.978707i | \(-0.434196\pi\) | ||||
0.205261 | + | 0.978707i | \(0.434196\pi\) | |||||||
\(882\) | −0.124831 | − | 0.0906951i | −0.00420328 | − | 0.00305386i | ||||
\(883\) | −7.41317 | + | 22.8154i | −0.249473 | + | 0.767799i | 0.745396 | + | 0.666622i | \(0.232261\pi\) |
−0.994869 | + | 0.101176i | \(0.967739\pi\) | |||||||
\(884\) | −0.0621019 | − | 0.191130i | −0.00208871 | − | 0.00642840i | ||||
\(885\) | −13.9446 | + | 10.1314i | −0.468743 | + | 0.340562i | ||||
\(886\) | 13.8173 | − | 10.0389i | 0.464203 | − | 0.337263i | ||||
\(887\) | −13.2650 | − | 40.8256i | −0.445396 | − | 1.37079i | −0.882049 | − | 0.471158i | \(-0.843836\pi\) |
0.436653 | − | 0.899630i | \(-0.356164\pi\) | |||||||
\(888\) | 4.42291 | − | 13.6123i | 0.148423 | − | 0.456799i | ||||
\(889\) | 1.47907 | + | 1.07461i | 0.0496066 | + | 0.0360413i | ||||
\(890\) | −2.93362 | −0.0983351 | ||||||||
\(891\) | 27.8996 | + | 4.34194i | 0.934670 | + | 0.145460i | ||||
\(892\) | 18.0702 | 0.605034 | ||||||||
\(893\) | 6.36430 | + | 4.62393i | 0.212973 | + | 0.154734i | ||||
\(894\) | −3.37231 | + | 10.3789i | −0.112787 | + | 0.347123i | ||||
\(895\) | 4.91555 | + | 15.1285i | 0.164309 | + | 0.505691i | ||||
\(896\) | 0.809017 | − | 0.587785i | 0.0270274 | − | 0.0196365i | ||||
\(897\) | −0.404377 | + | 0.293797i | −0.0135017 | + | 0.00980959i | ||||
\(898\) | −4.05825 | − | 12.4900i | −0.135426 | − | 0.416797i | ||||
\(899\) | −2.49480 | + | 7.67821i | −0.0832063 | + | 0.256083i | ||||
\(900\) | 0.124831 | + | 0.0906951i | 0.00416104 | + | 0.00302317i | ||||
\(901\) | 66.5685 | 2.21772 | ||||||||
\(902\) | 2.06505 | + | 12.8150i | 0.0687588 | + | 0.426693i | ||||
\(903\) | −10.8377 | −0.360656 | ||||||||
\(904\) | 6.99870 | + | 5.08485i | 0.232773 | + | 0.169120i | ||||
\(905\) | −2.03932 | + | 6.27638i | −0.0677893 | + | 0.208634i | ||||
\(906\) | −12.3081 | − | 37.8804i | −0.408909 | − | 1.25849i | ||||
\(907\) | −14.4630 | + | 10.5080i | −0.480238 | + | 0.348913i | −0.801418 | − | 0.598105i | \(-0.795921\pi\) |
0.321180 | + | 0.947018i | \(0.395921\pi\) | |||||||
\(908\) | −0.785152 | + | 0.570446i | −0.0260562 | + | 0.0189309i | ||||
\(909\) | 0.272219 | + | 0.837803i | 0.00902893 | + | 0.0277882i | ||||
\(910\) | −0.0131561 | + | 0.0404904i | −0.000436121 | + | 0.00134224i | ||||
\(911\) | 21.7267 | + | 15.7854i | 0.719838 | + | 0.522993i | 0.886333 | − | 0.463049i | \(-0.153245\pi\) |
−0.166494 | + | 0.986042i | \(0.553245\pi\) | |||||||
\(912\) | 2.89036 | 0.0957095 | ||||||||
\(913\) | 5.31903 | + | 33.0080i | 0.176034 | + | 1.09240i | ||||
\(914\) | −15.4508 | −0.511067 | ||||||||
\(915\) | 18.9238 | + | 13.7489i | 0.625600 | + | 0.454525i | ||||
\(916\) | −0.761085 | + | 2.34238i | −0.0251470 | + | 0.0773944i | ||||
\(917\) | −0.499613 | − | 1.53765i | −0.0164987 | − | 0.0507777i | ||||
\(918\) | −20.3204 | + | 14.7636i | −0.670673 | + | 0.487272i | ||||
\(919\) | −13.1724 | + | 9.57027i | −0.434516 | + | 0.315694i | −0.783452 | − | 0.621452i | \(-0.786543\pi\) |
0.348936 | + | 0.937146i | \(0.386543\pi\) | |||||||
\(920\) | 2.15065 | + | 6.61903i | 0.0709050 | + | 0.218223i | ||||
\(921\) | 3.47688 | − | 10.7007i | 0.114567 | − | 0.352602i | ||||
\(922\) | −27.3733 | − | 19.8878i | −0.901491 | − | 0.654971i | ||||
\(923\) | 0.481261 | 0.0158409 | ||||||||
\(924\) | 5.52833 | + | 0.860361i | 0.181869 | + | 0.0283038i | ||||
\(925\) | 8.48459 | 0.278972 | ||||||||
\(926\) | 25.7198 | + | 18.6866i | 0.845207 | + | 0.614078i | ||||
\(927\) | −0.639175 | + | 1.96718i | −0.0209932 | + | 0.0646106i | ||||
\(928\) | 0.414939 | + | 1.27705i | 0.0136211 | + | 0.0419213i | ||||
\(929\) | 29.6732 | − | 21.5588i | 0.973545 | − | 0.707322i | 0.0172881 | − | 0.999851i | \(-0.494497\pi\) |
0.956257 | + | 0.292529i | \(0.0944968\pi\) | |||||||
\(930\) | −8.20548 | + | 5.96163i | −0.269068 | + | 0.195490i | ||||
\(931\) | −0.529469 | − | 1.62954i | −0.0173526 | − | 0.0534059i | ||||
\(932\) | −2.05509 | + | 6.32492i | −0.0673167 | + | 0.207180i | ||||
\(933\) | 20.6035 | + | 14.9693i | 0.674527 | + | 0.490073i | ||||
\(934\) | 17.0295 | 0.557223 | ||||||||
\(935\) | −11.1000 | − | 11.0404i | −0.363009 | − | 0.361061i | ||||
\(936\) | 0.00656917 | 0.000214720 | ||||||||
\(937\) | 23.5394 | + | 17.1024i | 0.769000 | + | 0.558711i | 0.901657 | − | 0.432451i | \(-0.142351\pi\) |
−0.132658 | + | 0.991162i | \(0.542351\pi\) | |||||||
\(938\) | −1.97647 | + | 6.08296i | −0.0645341 | + | 0.198616i | ||||
\(939\) | −3.82491 | − | 11.7719i | −0.124821 | − | 0.384160i | ||||
\(940\) | −3.71443 | + | 2.69869i | −0.121151 | + | 0.0880217i | ||||
\(941\) | 4.55576 | − | 3.30996i | 0.148514 | − | 0.107901i | −0.511047 | − | 0.859553i | \(-0.670742\pi\) |
0.659561 | + | 0.751651i | \(0.270742\pi\) | |||||||
\(942\) | 5.98913 | + | 18.4326i | 0.195136 | + | 0.600568i | ||||
\(943\) | −8.41704 | + | 25.9050i | −0.274097 | + | 0.843582i | ||||
\(944\) | 8.26632 | + | 6.00583i | 0.269046 | + | 0.195473i | ||||
\(945\) | 5.32105 | 0.173094 | ||||||||
\(946\) | −18.9593 | + | 9.72460i | −0.616421 | + | 0.316174i | ||||
\(947\) | −25.4396 | −0.826677 | −0.413338 | − | 0.910577i | \(-0.635637\pi\) | ||||
−0.413338 | + | 0.910577i | \(0.635637\pi\) | |||||||
\(948\) | −12.1062 | − | 8.79566i | −0.393191 | − | 0.285670i | ||||
\(949\) | −0.0261449 | + | 0.0804658i | −0.000848700 | + | 0.00261203i | ||||
\(950\) | 0.529469 | + | 1.62954i | 0.0171782 | + | 0.0528692i | ||||
\(951\) | 30.6931 | − | 22.2999i | 0.995292 | − | 0.723122i | ||||
\(952\) | −3.81887 | + | 2.77457i | −0.123770 | + | 0.0899243i | ||||
\(953\) | −11.3365 | − | 34.8902i | −0.367226 | − | 1.13021i | −0.948575 | − | 0.316551i | \(-0.897475\pi\) |
0.581349 | − | 0.813654i | \(-0.302525\pi\) | |||||||
\(954\) | −0.672418 | + | 2.06949i | −0.0217703 | + | 0.0670022i | ||||
\(955\) | −13.8900 | − | 10.0917i | −0.449471 | − | 0.326560i | ||||
\(956\) | 21.0529 | 0.680900 | ||||||||
\(957\) | −3.39265 | + | 6.70297i | −0.109669 | + | 0.216676i | ||||
\(958\) | −29.9718 | −0.968346 | ||||||||
\(959\) | −8.30594 | − | 6.03462i | −0.268213 | − | 0.194868i | ||||
\(960\) | −0.521287 | + | 1.60436i | −0.0168245 | + | 0.0517804i | ||||
\(961\) | 1.59131 | + | 4.89755i | 0.0513326 | + | 0.157986i | ||||
\(962\) | 0.292236 | − | 0.212322i | 0.00942208 | − | 0.00684554i | ||||
\(963\) | −1.99317 | + | 1.44812i | −0.0642289 | + | 0.0466650i | ||||
\(964\) | −2.45126 | − | 7.54420i | −0.0789497 | − | 0.242982i | ||||
\(965\) | −3.15768 | + | 9.71834i | −0.101649 | + | 0.312844i | ||||
\(966\) | 9.49818 | + | 6.90083i | 0.305599 | + | 0.222031i | ||||
\(967\) | 23.5537 | 0.757438 | 0.378719 | − | 0.925512i | \(-0.376365\pi\) | ||||
0.378719 | + | 0.925512i | \(0.376365\pi\) | |||||||
\(968\) | 10.4432 | − | 3.45543i | 0.335656 | − | 0.111062i | ||||
\(969\) | −13.6436 | −0.438296 | ||||||||
\(970\) | −14.1426 | − | 10.2752i | −0.454092 | − | 0.329917i | ||||
\(971\) | 2.45974 | − | 7.57030i | 0.0789368 | − | 0.242943i | −0.903799 | − | 0.427957i | \(-0.859233\pi\) |
0.982736 | + | 0.185015i | \(0.0592333\pi\) | |||||||
\(972\) | −0.495018 | − | 1.52351i | −0.0158777 | − | 0.0488665i | ||||
\(973\) | 1.57562 | − | 1.14476i | 0.0505122 | − | 0.0366992i | ||||
\(974\) | 0.593048 | − | 0.430874i | 0.0190025 | − | 0.0138061i | ||||
\(975\) | −0.0221933 | − | 0.0683041i | −0.000710756 | − | 0.00218748i | ||||
\(976\) | 4.28487 | − | 13.1875i | 0.137155 | − | 0.422121i | ||||
\(977\) | −13.5939 | − | 9.87652i | −0.434906 | − | 0.315978i | 0.348701 | − | 0.937234i | \(-0.386623\pi\) |
−0.783608 | + | 0.621256i | \(0.786623\pi\) | |||||||
\(978\) | −23.8356 | −0.762178 | ||||||||
\(979\) | −4.39385 | + | 8.68109i | −0.140428 | + | 0.277449i | ||||
\(980\) | 1.00000 | 0.0319438 | ||||||||
\(981\) | 1.99107 | + | 1.44659i | 0.0635699 | + | 0.0461862i | ||||
\(982\) | −3.13633 | + | 9.65263i | −0.100084 | + | 0.308028i | ||||
\(983\) | −2.05189 | − | 6.31507i | −0.0654452 | − | 0.201420i | 0.912987 | − | 0.407989i | \(-0.133770\pi\) |
−0.978432 | + | 0.206570i | \(0.933770\pi\) | |||||||
\(984\) | −5.34123 | + | 3.88063i | −0.170272 | + | 0.123710i | ||||
\(985\) | 5.93227 | − | 4.31004i | 0.189018 | − | 0.137329i | ||||
\(986\) | −1.95867 | − | 6.02817i | −0.0623768 | − | 0.191976i | ||||
\(987\) | −2.39338 | + | 7.36607i | −0.0761822 | + | 0.234465i | ||||
\(988\) | 0.0590148 | + | 0.0428768i | 0.00187751 | + | 0.00136409i | ||||
\(989\) | −44.7127 | −1.42178 | ||||||||
\(990\) | 0.455350 | − | 0.233558i | 0.0144720 | − | 0.00742295i | ||||
\(991\) | −49.2695 | −1.56510 | −0.782548 | − | 0.622590i | \(-0.786080\pi\) | ||||
−0.782548 | + | 0.622590i | \(0.786080\pi\) | |||||||
\(992\) | 4.86418 | + | 3.53403i | 0.154438 | + | 0.112206i | ||||
\(993\) | −5.37730 | + | 16.5496i | −0.170643 | + | 0.525186i | ||||
\(994\) | −3.49315 | − | 10.7508i | −0.110796 | − | 0.340995i | ||||
\(995\) | 7.20310 | − | 5.23336i | 0.228354 | − | 0.165909i | ||||
\(996\) | −13.7576 | + | 9.99546i | −0.435925 | + | 0.316718i | ||||
\(997\) | 10.0592 | + | 30.9591i | 0.318578 | + | 0.980483i | 0.974256 | + | 0.225443i | \(0.0723829\pi\) |
−0.655678 | + | 0.755041i | \(0.727617\pi\) | |||||||
\(998\) | 3.45090 | − | 10.6208i | 0.109236 | − | 0.336194i | ||||
\(999\) | −36.5246 | − | 26.5367i | −1.15559 | − | 0.839584i |
(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 | 770.2.n.j.631.1 | yes | 12 | |
11.3 | even | 5 | inner | 770.2.n.j.421.1 | ✓ | 12 | |
11.5 | even | 5 | 8470.2.a.cw.1.2 | 6 | |||
11.6 | odd | 10 | 8470.2.a.dc.1.2 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.j.421.1 | ✓ | 12 | 11.3 | even | 5 | inner | |
770.2.n.j.631.1 | yes | 12 | 1.1 | even | 1 | trivial | |
8470.2.a.cw.1.2 | 6 | 11.5 | even | 5 | |||
8470.2.a.dc.1.2 | 6 | 11.6 | odd | 10 |