Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(4,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.f (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: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 64.1 | ||
Root | \(0.913545 - 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 93.64 |
Dual form | 93.2.f.a.16.1 |
$q$-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 \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.169131 | − | 0.122881i | −0.119593 | − | 0.0868897i | 0.526381 | − | 0.850249i | \(-0.323549\pi\) |
−0.645974 | + | 0.763359i | \(0.723549\pi\) | |||||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | ||||
\(4\) | −0.604528 | − | 1.86055i | −0.302264 | − | 0.930274i | ||||
\(5\) | 0.338261 | 0.151275 | 0.0756375 | − | 0.997135i | \(-0.475901\pi\) | ||||
0.0756375 | + | 0.997135i | \(0.475901\pi\) | |||||||
\(6\) | −0.209057 | −0.0853471 | ||||||||
\(7\) | −0.222562 | − | 0.684977i | −0.0841207 | − | 0.258897i | 0.900145 | − | 0.435590i | \(-0.143460\pi\) |
−0.984266 | + | 0.176693i | \(0.943460\pi\) | |||||||
\(8\) | −0.255585 | + | 0.786610i | −0.0903630 | + | 0.278109i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | −0.0572103 | − | 0.0415657i | −0.0180915 | − | 0.0131442i | ||||
\(11\) | 1.39169 | + | 4.28319i | 0.419611 | + | 1.29143i | 0.908061 | + | 0.418838i | \(0.137563\pi\) |
−0.488450 | + | 0.872592i | \(0.662437\pi\) | |||||||
\(12\) | −1.58268 | − | 1.14988i | −0.456879 | − | 0.331942i | ||||
\(13\) | 1.96086 | − | 1.42465i | 0.543846 | − | 0.395127i | −0.281666 | − | 0.959513i | \(-0.590887\pi\) |
0.825511 | + | 0.564386i | \(0.190887\pi\) | |||||||
\(14\) | −0.0465282 | + | 0.143199i | −0.0124352 | + | 0.0382716i | ||||
\(15\) | 0.273659 | − | 0.198825i | 0.0706585 | − | 0.0513364i | ||||
\(16\) | −3.02547 | + | 2.19813i | −0.756366 | + | 0.549532i | ||||
\(17\) | −1.09618 | + | 3.37370i | −0.265863 | + | 0.818242i | 0.725630 | + | 0.688085i | \(0.241548\pi\) |
−0.991493 | + | 0.130158i | \(0.958452\pi\) | |||||||
\(18\) | −0.169131 | + | 0.122881i | −0.0398645 | + | 0.0289632i | ||||
\(19\) | 0.226341 | + | 0.164446i | 0.0519262 | + | 0.0377266i | 0.613446 | − | 0.789737i | \(-0.289783\pi\) |
−0.561519 | + | 0.827464i | \(0.689783\pi\) | |||||||
\(20\) | −0.204489 | − | 0.629351i | −0.0457250 | − | 0.140727i | ||||
\(21\) | −0.582676 | − | 0.423339i | −0.127150 | − | 0.0923801i | ||||
\(22\) | 0.290943 | − | 0.895431i | 0.0620293 | − | 0.190906i | ||||
\(23\) | −0.777438 | + | 2.39271i | −0.162107 | + | 0.498914i | −0.998811 | − | 0.0487407i | \(-0.984479\pi\) |
0.836705 | + | 0.547655i | \(0.184479\pi\) | |||||||
\(24\) | 0.255585 | + | 0.786610i | 0.0521711 | + | 0.160566i | ||||
\(25\) | −4.88558 | −0.977116 | ||||||||
\(26\) | −0.506704 | −0.0993728 | ||||||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | −1.13989 | + | 0.828176i | −0.215418 | + | 0.156511i | ||||
\(29\) | −3.71878 | − | 2.70185i | −0.690561 | − | 0.501722i | 0.186284 | − | 0.982496i | \(-0.440356\pi\) |
−0.876844 | + | 0.480774i | \(0.840356\pi\) | |||||||
\(30\) | −0.0707158 | −0.0129109 | ||||||||
\(31\) | 3.64679 | + | 4.20725i | 0.654983 | + | 0.755644i | ||||
\(32\) | 2.43599 | 0.430626 | ||||||||
\(33\) | 3.64350 | + | 2.64716i | 0.634252 | + | 0.460811i | ||||
\(34\) | 0.599960 | − | 0.435897i | 0.102892 | − | 0.0747556i | ||||
\(35\) | −0.0752842 | − | 0.231701i | −0.0127254 | − | 0.0391646i | ||||
\(36\) | −1.95630 | −0.326049 | ||||||||
\(37\) | 6.73054 | 1.10649 | 0.553247 | − | 0.833017i | \(-0.313388\pi\) | ||||
0.553247 | + | 0.833017i | \(0.313388\pi\) | |||||||
\(38\) | −0.0180739 | − | 0.0556258i | −0.00293198 | − | 0.00902370i | ||||
\(39\) | 0.748983 | − | 2.30513i | 0.119933 | − | 0.369117i | ||||
\(40\) | −0.0864545 | + | 0.266080i | −0.0136697 | + | 0.0420709i | ||||
\(41\) | −7.27349 | − | 5.28450i | −1.13593 | − | 0.825301i | −0.149382 | − | 0.988780i | \(-0.547728\pi\) |
−0.986547 | + | 0.163479i | \(0.947728\pi\) | |||||||
\(42\) | 0.0465282 | + | 0.143199i | 0.00717946 | + | 0.0220961i | ||||
\(43\) | −1.68641 | − | 1.22525i | −0.257176 | − | 0.186849i | 0.451725 | − | 0.892157i | \(-0.350809\pi\) |
−0.708901 | + | 0.705308i | \(0.750809\pi\) | |||||||
\(44\) | 7.12776 | − | 5.17862i | 1.07455 | − | 0.780707i | ||||
\(45\) | 0.104528 | − | 0.321706i | 0.0155822 | − | 0.0479570i | ||||
\(46\) | 0.425506 | − | 0.309148i | 0.0627374 | − | 0.0455814i | ||||
\(47\) | 5.21549 | − | 3.78928i | 0.760758 | − | 0.552723i | −0.138385 | − | 0.990379i | \(-0.544191\pi\) |
0.899143 | + | 0.437656i | \(0.144191\pi\) | |||||||
\(48\) | −1.15563 | + | 3.55665i | −0.166800 | + | 0.513358i | ||||
\(49\) | 5.24346 | − | 3.80960i | 0.749066 | − | 0.544228i | ||||
\(50\) | 0.826301 | + | 0.600343i | 0.116857 | + | 0.0849013i | ||||
\(51\) | 1.09618 | + | 3.37370i | 0.153496 | + | 0.472412i | ||||
\(52\) | −3.83603 | − | 2.78704i | −0.531961 | − | 0.386493i | ||||
\(53\) | 3.59444 | − | 11.0625i | 0.493734 | − | 1.51956i | −0.325187 | − | 0.945650i | \(-0.605427\pi\) |
0.818921 | − | 0.573907i | \(-0.194573\pi\) | |||||||
\(54\) | −0.0646021 | + | 0.198825i | −0.00879124 | + | 0.0270566i | ||||
\(55\) | 0.470756 | + | 1.44884i | 0.0634767 | + | 0.195361i | ||||
\(56\) | 0.595693 | 0.0796029 | ||||||||
\(57\) | 0.279773 | 0.0370568 | ||||||||
\(58\) | 0.296955 | + | 0.913933i | 0.0389921 | + | 0.120005i | ||||
\(59\) | −5.00234 | + | 3.63441i | −0.651249 | + | 0.473160i | −0.863696 | − | 0.504013i | \(-0.831856\pi\) |
0.212448 | + | 0.977172i | \(0.431856\pi\) | |||||||
\(60\) | −0.535358 | − | 0.388960i | −0.0691144 | − | 0.0502146i | ||||
\(61\) | −7.32624 | −0.938029 | −0.469014 | − | 0.883191i | \(-0.655391\pi\) | ||||
−0.469014 | + | 0.883191i | \(0.655391\pi\) | |||||||
\(62\) | −0.0997949 | − | 1.15969i | −0.0126740 | − | 0.147281i | ||||
\(63\) | −0.720227 | −0.0907401 | ||||||||
\(64\) | 5.63893 | + | 4.09692i | 0.704866 | + | 0.512115i | ||||
\(65\) | 0.663284 | − | 0.481904i | 0.0822703 | − | 0.0597728i | ||||
\(66\) | −0.290943 | − | 0.895431i | −0.0358126 | − | 0.110220i | ||||
\(67\) | −6.47214 | −0.790697 | −0.395349 | − | 0.918531i | \(-0.629376\pi\) | ||||
−0.395349 | + | 0.918531i | \(0.629376\pi\) | |||||||
\(68\) | 6.93960 | 0.841550 | ||||||||
\(69\) | 0.777438 | + | 2.39271i | 0.0935925 | + | 0.288048i | ||||
\(70\) | −0.0157387 | + | 0.0484387i | −0.00188113 | + | 0.00578953i | ||||
\(71\) | −3.08639 | + | 9.49894i | −0.366287 | + | 1.12732i | 0.582884 | + | 0.812556i | \(0.301924\pi\) |
−0.949171 | + | 0.314761i | \(0.898076\pi\) | |||||||
\(72\) | 0.669131 | + | 0.486152i | 0.0788578 | + | 0.0572935i | ||||
\(73\) | 2.11143 | + | 6.49832i | 0.247124 | + | 0.760571i | 0.995280 | + | 0.0970472i | \(0.0309398\pi\) |
−0.748155 | + | 0.663524i | \(0.769060\pi\) | |||||||
\(74\) | −1.13834 | − | 0.827053i | −0.132329 | − | 0.0961430i | ||||
\(75\) | −3.95252 | + | 2.87167i | −0.456397 | + | 0.331592i | ||||
\(76\) | 0.169131 | − | 0.520530i | 0.0194006 | − | 0.0597089i | ||||
\(77\) | 2.62415 | − | 1.90655i | 0.299049 | − | 0.217272i | ||||
\(78\) | −0.409932 | + | 0.297833i | −0.0464157 | + | 0.0337230i | ||||
\(79\) | −1.85886 | + | 5.72097i | −0.209138 | + | 0.643660i | 0.790380 | + | 0.612616i | \(0.209883\pi\) |
−0.999518 | + | 0.0310433i | \(0.990117\pi\) | |||||||
\(80\) | −1.02340 | + | 0.743542i | −0.114419 | + | 0.0831305i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 0.580808 | + | 1.78754i | 0.0641395 | + | 0.197401i | ||||
\(83\) | −8.47670 | − | 6.15869i | −0.930439 | − | 0.676004i | 0.0156611 | − | 0.999877i | \(-0.495015\pi\) |
−0.946100 | + | 0.323874i | \(0.895015\pi\) | |||||||
\(84\) | −0.435398 | + | 1.34002i | −0.0475058 | + | 0.146208i | ||||
\(85\) | −0.370796 | + | 1.14119i | −0.0402184 | + | 0.123780i | ||||
\(86\) | 0.134665 | + | 0.414455i | 0.0145213 | + | 0.0446919i | ||||
\(87\) | −4.59667 | −0.492815 | ||||||||
\(88\) | −3.72490 | −0.397075 | ||||||||
\(89\) | −1.86761 | − | 5.74790i | −0.197966 | − | 0.609277i | −0.999929 | − | 0.0119032i | \(-0.996211\pi\) |
0.801963 | − | 0.597373i | \(-0.203789\pi\) | |||||||
\(90\) | −0.0572103 | + | 0.0415657i | −0.00603050 | + | 0.00438141i | ||||
\(91\) | −1.41227 | − | 1.02607i | −0.148046 | − | 0.107562i | ||||
\(92\) | 4.92173 | 0.513126 | ||||||||
\(93\) | 5.42327 | + | 1.26020i | 0.562367 | + | 0.130677i | ||||
\(94\) | −1.34773 | −0.139008 | ||||||||
\(95\) | 0.0765624 | + | 0.0556258i | 0.00785513 | + | 0.00570709i | ||||
\(96\) | 1.97076 | − | 1.43184i | 0.201139 | − | 0.146136i | ||||
\(97\) | −5.16565 | − | 15.8982i | −0.524493 | − | 1.61422i | −0.765317 | − | 0.643654i | \(-0.777418\pi\) |
0.240824 | − | 0.970569i | \(-0.422582\pi\) | |||||||
\(98\) | −1.35495 | −0.136871 | ||||||||
\(99\) | 4.50361 | 0.452630 | ||||||||
\(100\) | 2.95347 | + | 9.08985i | 0.295347 | + | 0.908985i | ||||
\(101\) | −5.69147 | + | 17.5165i | −0.566323 | + | 1.74296i | 0.0976664 | + | 0.995219i | \(0.468862\pi\) |
−0.663989 | + | 0.747742i | \(0.731138\pi\) | |||||||
\(102\) | 0.229164 | − | 0.705295i | 0.0226907 | − | 0.0698346i | ||||
\(103\) | 4.75999 | + | 3.45833i | 0.469016 | + | 0.340760i | 0.797058 | − | 0.603903i | \(-0.206389\pi\) |
−0.328042 | + | 0.944663i | \(0.606389\pi\) | |||||||
\(104\) | 0.619477 | + | 1.90655i | 0.0607447 | + | 0.186953i | ||||
\(105\) | −0.197097 | − | 0.143199i | −0.0192347 | − | 0.0139748i | ||||
\(106\) | −1.96730 | + | 1.42933i | −0.191081 | + | 0.138829i | ||||
\(107\) | −2.32853 | + | 7.16649i | −0.225108 | + | 0.692811i | 0.773173 | + | 0.634195i | \(0.218669\pi\) |
−0.998281 | + | 0.0586154i | \(0.981331\pi\) | |||||||
\(108\) | −1.58268 | + | 1.14988i | −0.152293 | + | 0.110647i | ||||
\(109\) | 5.98203 | − | 4.34620i | 0.572974 | − | 0.416290i | −0.263210 | − | 0.964739i | \(-0.584781\pi\) |
0.836184 | + | 0.548448i | \(0.184781\pi\) | |||||||
\(110\) | 0.0984148 | − | 0.302889i | 0.00938348 | − | 0.0288794i | ||||
\(111\) | 5.44512 | − | 3.95611i | 0.516828 | − | 0.375498i | ||||
\(112\) | 2.17902 | + | 1.58315i | 0.205898 | + | 0.149594i | ||||
\(113\) | −5.73133 | − | 17.6392i | −0.539159 | − | 1.65936i | −0.734488 | − | 0.678622i | \(-0.762578\pi\) |
0.195329 | − | 0.980738i | \(-0.437422\pi\) | |||||||
\(114\) | −0.0473181 | − | 0.0343786i | −0.00443175 | − | 0.00321985i | ||||
\(115\) | −0.262977 | + | 0.809360i | −0.0245227 | + | 0.0754732i | ||||
\(116\) | −2.77882 | + | 8.55232i | −0.258007 | + | 0.794063i | ||||
\(117\) | −0.748983 | − | 2.30513i | −0.0692435 | − | 0.213110i | ||||
\(118\) | 1.29265 | 0.118998 | ||||||||
\(119\) | 2.55488 | 0.234205 | ||||||||
\(120\) | 0.0864545 | + | 0.266080i | 0.00789218 | + | 0.0242896i | ||||
\(121\) | −7.50973 | + | 5.45614i | −0.682702 | + | 0.496012i | ||||
\(122\) | 1.23909 | + | 0.900252i | 0.112182 | + | 0.0815050i | ||||
\(123\) | −8.99053 | −0.810649 | ||||||||
\(124\) | 5.62319 | − | 9.32843i | 0.504978 | − | 0.837717i | ||||
\(125\) | −3.34391 | −0.299088 | ||||||||
\(126\) | 0.121812 | + | 0.0885019i | 0.0108519 | + | 0.00788438i | ||||
\(127\) | 14.5411 | − | 10.5648i | 1.29032 | − | 0.937471i | 0.290506 | − | 0.956873i | \(-0.406176\pi\) |
0.999812 | + | 0.0194026i | \(0.00617641\pi\) | |||||||
\(128\) | −1.95581 | − | 6.01936i | −0.172871 | − | 0.532041i | ||||
\(129\) | −2.08452 | −0.183532 | ||||||||
\(130\) | −0.171398 | −0.0150326 | ||||||||
\(131\) | 5.70120 | + | 17.5465i | 0.498116 | + | 1.53304i | 0.812044 | + | 0.583597i | \(0.198355\pi\) |
−0.313928 | + | 0.949447i | \(0.601645\pi\) | |||||||
\(132\) | 2.72256 | − | 8.37919i | 0.236969 | − | 0.729314i | ||||
\(133\) | 0.0622669 | − | 0.191638i | 0.00539923 | − | 0.0166171i | ||||
\(134\) | 1.09464 | + | 0.795300i | 0.0945622 | + | 0.0687034i | ||||
\(135\) | −0.104528 | − | 0.321706i | −0.00899638 | − | 0.0276880i | ||||
\(136\) | −2.37362 | − | 1.72454i | −0.203536 | − | 0.147878i | ||||
\(137\) | 14.1658 | − | 10.2920i | 1.21026 | − | 0.879308i | 0.215009 | − | 0.976612i | \(-0.431022\pi\) |
0.995255 | + | 0.0973037i | \(0.0310218\pi\) | |||||||
\(138\) | 0.162529 | − | 0.500212i | 0.0138354 | − | 0.0425809i | ||||
\(139\) | −5.95836 | + | 4.32900i | −0.505382 | + | 0.367181i | −0.811069 | − | 0.584951i | \(-0.801114\pi\) |
0.305687 | + | 0.952132i | \(0.401114\pi\) | |||||||
\(140\) | −0.385579 | + | 0.280140i | −0.0325874 | + | 0.0236761i | ||||
\(141\) | 1.99214 | − | 6.13118i | 0.167769 | − | 0.516339i | ||||
\(142\) | 1.68924 | − | 1.22730i | 0.141758 | − | 0.102993i | ||||
\(143\) | 8.83097 | + | 6.41608i | 0.738483 | + | 0.536539i | ||||
\(144\) | 1.15563 | + | 3.55665i | 0.0963021 | + | 0.296387i | ||||
\(145\) | −1.25792 | − | 0.913933i | −0.104465 | − | 0.0758980i | ||||
\(146\) | 0.441410 | − | 1.35852i | 0.0365313 | − | 0.112432i | ||||
\(147\) | 2.00282 | − | 6.16406i | 0.165190 | − | 0.508403i | ||||
\(148\) | −4.06881 | − | 12.5225i | −0.334454 | − | 1.02934i | ||||
\(149\) | −1.55606 | −0.127477 | −0.0637385 | − | 0.997967i | \(-0.520302\pi\) | ||||
−0.0637385 | + | 0.997967i | \(0.520302\pi\) | |||||||
\(150\) | 1.02136 | 0.0833940 | ||||||||
\(151\) | −5.44785 | − | 16.7667i | −0.443339 | − | 1.36446i | −0.884295 | − | 0.466929i | \(-0.845360\pi\) |
0.440955 | − | 0.897529i | \(-0.354640\pi\) | |||||||
\(152\) | −0.187205 | + | 0.136012i | −0.0151843 | + | 0.0110320i | ||||
\(153\) | 2.86984 | + | 2.08506i | 0.232013 | + | 0.168567i | ||||
\(154\) | −0.678102 | −0.0546430 | ||||||||
\(155\) | 1.23357 | + | 1.42315i | 0.0990825 | + | 0.114310i | ||||
\(156\) | −4.74159 | −0.379631 | ||||||||
\(157\) | 7.70081 | + | 5.59497i | 0.614592 | + | 0.446527i | 0.851028 | − | 0.525120i | \(-0.175980\pi\) |
−0.236437 | + | 0.971647i | \(0.575980\pi\) | |||||||
\(158\) | 1.01739 | − | 0.739174i | 0.0809389 | − | 0.0588055i | ||||
\(159\) | −3.59444 | − | 11.0625i | −0.285057 | − | 0.877316i | ||||
\(160\) | 0.824000 | 0.0651429 | ||||||||
\(161\) | 1.81198 | 0.142804 | ||||||||
\(162\) | 0.0646021 | + | 0.198825i | 0.00507562 | + | 0.0156212i | ||||
\(163\) | 1.59949 | − | 4.92273i | 0.125282 | − | 0.385578i | −0.868670 | − | 0.495391i | \(-0.835025\pi\) |
0.993952 | + | 0.109812i | \(0.0350250\pi\) | |||||||
\(164\) | −5.43503 | + | 16.7273i | −0.424405 | + | 1.30618i | ||||
\(165\) | 1.23245 | + | 0.895431i | 0.0959465 | + | 0.0697092i | ||||
\(166\) | 0.676887 | + | 2.08324i | 0.0525366 | + | 0.161691i | ||||
\(167\) | 18.1132 | + | 13.1600i | 1.40164 | + | 1.01835i | 0.994472 | + | 0.105003i | \(0.0334852\pi\) |
0.407172 | + | 0.913351i | \(0.366515\pi\) | |||||||
\(168\) | 0.481926 | − | 0.350140i | 0.0371814 | − | 0.0270139i | ||||
\(169\) | −2.20186 | + | 6.77664i | −0.169374 | + | 0.521280i | ||||
\(170\) | 0.202943 | − | 0.147447i | 0.0155650 | − | 0.0113087i | ||||
\(171\) | 0.226341 | − | 0.164446i | 0.0173087 | − | 0.0125755i | ||||
\(172\) | −1.26015 | + | 3.87835i | −0.0960858 | + | 0.295722i | ||||
\(173\) | −7.39202 | + | 5.37061i | −0.562005 | + | 0.408320i | −0.832192 | − | 0.554488i | \(-0.812914\pi\) |
0.270187 | + | 0.962808i | \(0.412914\pi\) | |||||||
\(174\) | 0.777438 | + | 0.564841i | 0.0589374 | + | 0.0428205i | ||||
\(175\) | 1.08735 | + | 3.34651i | 0.0821957 | + | 0.252972i | ||||
\(176\) | −13.6255 | − | 9.89953i | −1.02706 | − | 0.746205i | ||||
\(177\) | −1.91072 | + | 5.88060i | −0.143619 | + | 0.442013i | ||||
\(178\) | −0.390436 | + | 1.20164i | −0.0292644 | + | 0.0900667i | ||||
\(179\) | 0.0778059 | + | 0.239462i | 0.00581549 | + | 0.0178982i | 0.953922 | − | 0.300054i | \(-0.0970048\pi\) |
−0.948107 | + | 0.317952i | \(0.897005\pi\) | |||||||
\(180\) | −0.661739 | −0.0493231 | ||||||||
\(181\) | 15.5043 | 1.15242 | 0.576211 | − | 0.817301i | \(-0.304531\pi\) | ||||
0.576211 | + | 0.817301i | \(0.304531\pi\) | |||||||
\(182\) | 0.112773 | + | 0.347080i | 0.00835931 | + | 0.0257273i | ||||
\(183\) | −5.92705 | + | 4.30625i | −0.438140 | + | 0.318328i | ||||
\(184\) | −1.68343 | − | 1.22308i | −0.124104 | − | 0.0901667i | ||||
\(185\) | 2.27668 | 0.167385 | ||||||||
\(186\) | −0.762387 | − | 0.879554i | −0.0559009 | − | 0.0644920i | ||||
\(187\) | −15.9757 | −1.16826 | ||||||||
\(188\) | −10.2030 | − | 7.41295i | −0.744134 | − | 0.540645i | ||||
\(189\) | −0.582676 | + | 0.423339i | −0.0423834 | + | 0.0307934i | ||||
\(190\) | −0.00611371 | − | 0.0188161i | −0.000443535 | − | 0.00136506i | ||||
\(191\) | −7.57722 | −0.548268 | −0.274134 | − | 0.961691i | \(-0.588391\pi\) | ||||
−0.274134 | + | 0.961691i | \(0.588391\pi\) | |||||||
\(192\) | 6.97010 | 0.503024 | ||||||||
\(193\) | 6.35574 | + | 19.5610i | 0.457497 | + | 1.40803i | 0.868179 | + | 0.496251i | \(0.165290\pi\) |
−0.410683 | + | 0.911778i | \(0.634710\pi\) | |||||||
\(194\) | −1.07992 | + | 3.32364i | −0.0775334 | + | 0.238623i | ||||
\(195\) | 0.253352 | − | 0.779737i | 0.0181429 | − | 0.0558381i | ||||
\(196\) | −10.2578 | − | 7.45270i | −0.732697 | − | 0.532335i | ||||
\(197\) | −1.71556 | − | 5.27994i | −0.122228 | − | 0.376180i | 0.871158 | − | 0.491004i | \(-0.163370\pi\) |
−0.993386 | + | 0.114823i | \(0.963370\pi\) | |||||||
\(198\) | −0.761699 | − | 0.553407i | −0.0541316 | − | 0.0393289i | ||||
\(199\) | −4.48203 | + | 3.25638i | −0.317723 | + | 0.230839i | −0.735203 | − | 0.677847i | \(-0.762913\pi\) |
0.417481 | + | 0.908686i | \(0.362913\pi\) | |||||||
\(200\) | 1.24868 | − | 3.84305i | 0.0882951 | − | 0.271744i | ||||
\(201\) | −5.23607 | + | 3.80423i | −0.369324 | + | 0.268329i | ||||
\(202\) | 3.11505 | − | 2.26321i | 0.219174 | − | 0.159239i | ||||
\(203\) | −1.02305 | + | 3.14861i | −0.0718038 | + | 0.220989i | ||||
\(204\) | 5.61426 | − | 4.07900i | 0.393077 | − | 0.285587i | ||||
\(205\) | −2.46034 | − | 1.78754i | −0.171838 | − | 0.124847i | ||||
\(206\) | −0.380098 | − | 1.16982i | −0.0264827 | − | 0.0815052i | ||||
\(207\) | 2.03536 | + | 1.47877i | 0.141467 | + | 0.102782i | ||||
\(208\) | −2.80096 | + | 8.62046i | −0.194212 | + | 0.597722i | ||||
\(209\) | −0.389358 | + | 1.19832i | −0.0269324 | + | 0.0828895i | ||||
\(210\) | 0.0157387 | + | 0.0484387i | 0.00108607 | + | 0.00334259i | ||||
\(211\) | −7.98391 | −0.549635 | −0.274818 | − | 0.961496i | \(-0.588617\pi\) | ||||
−0.274818 | + | 0.961496i | \(0.588617\pi\) | |||||||
\(212\) | −22.7553 | −1.56284 | ||||||||
\(213\) | 3.08639 | + | 9.49894i | 0.211476 | + | 0.650856i | ||||
\(214\) | 1.27445 | − | 0.925941i | 0.0871195 | − | 0.0632961i | ||||
\(215\) | −0.570449 | − | 0.414455i | −0.0389043 | − | 0.0282656i | ||||
\(216\) | 0.827091 | 0.0562764 | ||||||||
\(217\) | 2.07023 | − | 3.43434i | 0.140536 | − | 0.233138i | ||||
\(218\) | −1.54581 | −0.104695 | ||||||||
\(219\) | 5.52780 | + | 4.01618i | 0.373534 | + | 0.271388i | ||||
\(220\) | 2.41105 | − | 1.75173i | 0.162553 | − | 0.118101i | ||||
\(221\) | 2.65688 | + | 8.17704i | 0.178721 | + | 0.550047i | ||||
\(222\) | −1.40707 | −0.0944362 | ||||||||
\(223\) | 5.49988 | 0.368299 | 0.184149 | − | 0.982898i | \(-0.441047\pi\) | ||||
0.184149 | + | 0.982898i | \(0.441047\pi\) | |||||||
\(224\) | −0.542159 | − | 1.66860i | −0.0362246 | − | 0.111488i | ||||
\(225\) | −1.50973 | + | 4.64646i | −0.100648 | + | 0.309764i | ||||
\(226\) | −1.19818 | + | 3.68760i | −0.0797014 | + | 0.245296i | ||||
\(227\) | 1.23012 | + | 0.893734i | 0.0816459 | + | 0.0593192i | 0.627859 | − | 0.778327i | \(-0.283931\pi\) |
−0.546214 | + | 0.837646i | \(0.683931\pi\) | |||||||
\(228\) | −0.169131 | − | 0.520530i | −0.0112009 | − | 0.0344730i | ||||
\(229\) | −6.37878 | − | 4.63445i | −0.421522 | − | 0.306253i | 0.356728 | − | 0.934208i | \(-0.383892\pi\) |
−0.778250 | + | 0.627955i | \(0.783892\pi\) | |||||||
\(230\) | 0.143932 | − | 0.104573i | 0.00949060 | − | 0.00689532i | ||||
\(231\) | 1.00234 | − | 3.08487i | 0.0659488 | − | 0.202970i | ||||
\(232\) | 3.07577 | − | 2.23468i | 0.201934 | − | 0.146714i | ||||
\(233\) | 13.2225 | − | 9.60671i | 0.866235 | − | 0.629356i | −0.0633392 | − | 0.997992i | \(-0.520175\pi\) |
0.929574 | + | 0.368636i | \(0.120175\pi\) | |||||||
\(234\) | −0.156580 | + | 0.481904i | −0.0102360 | + | 0.0315031i | ||||
\(235\) | 1.76420 | − | 1.28177i | 0.115084 | − | 0.0836132i | ||||
\(236\) | 9.78604 | + | 7.10998i | 0.637017 | + | 0.462820i | ||||
\(237\) | 1.85886 | + | 5.72097i | 0.120746 | + | 0.371617i | ||||
\(238\) | −0.432108 | − | 0.313945i | −0.0280094 | − | 0.0203500i | ||||
\(239\) | 9.16302 | − | 28.2009i | 0.592706 | − | 1.82416i | 0.0268789 | − | 0.999639i | \(-0.491443\pi\) |
0.565827 | − | 0.824524i | \(-0.308557\pi\) | |||||||
\(240\) | −0.390903 | + | 1.20308i | −0.0252327 | + | 0.0776582i | ||||
\(241\) | 7.13137 | + | 21.9481i | 0.459372 | + | 1.41380i | 0.865924 | + | 0.500175i | \(0.166731\pi\) |
−0.406552 | + | 0.913628i | \(0.633269\pi\) | |||||||
\(242\) | 1.94058 | 0.124745 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 4.42892 | + | 13.6308i | 0.283533 | + | 0.872623i | ||||
\(245\) | 1.77366 | − | 1.28864i | 0.113315 | − | 0.0823281i | ||||
\(246\) | 1.52057 | + | 1.10476i | 0.0969483 | + | 0.0704370i | ||||
\(247\) | 0.678102 | 0.0431466 | ||||||||
\(248\) | −4.24153 | + | 1.79329i | −0.269337 | + | 0.113874i | ||||
\(249\) | −10.4778 | −0.664003 | ||||||||
\(250\) | 0.565557 | + | 0.410901i | 0.0357690 | + | 0.0259877i | ||||
\(251\) | 12.5630 | − | 9.12755i | 0.792969 | − | 0.576126i | −0.115874 | − | 0.993264i | \(-0.536967\pi\) |
0.908843 | + | 0.417138i | \(0.136967\pi\) | |||||||
\(252\) | 0.435398 | + | 1.34002i | 0.0274275 | + | 0.0844131i | ||||
\(253\) | −11.3304 | −0.712335 | ||||||||
\(254\) | −3.75756 | −0.235770 | ||||||||
\(255\) | 0.370796 | + | 1.14119i | 0.0232201 | + | 0.0714642i | ||||
\(256\) | 3.89889 | − | 11.9995i | 0.243680 | − | 0.749971i | ||||
\(257\) | −3.52041 | + | 10.8347i | −0.219597 | + | 0.675850i | 0.779198 | + | 0.626778i | \(0.215627\pi\) |
−0.998795 | + | 0.0490726i | \(0.984373\pi\) | |||||||
\(258\) | 0.352557 | + | 0.256147i | 0.0219492 | + | 0.0159470i | ||||
\(259\) | −1.49797 | − | 4.61027i | −0.0930791 | − | 0.286468i | ||||
\(260\) | −1.29758 | − | 0.942747i | −0.0804725 | − | 0.0584667i | ||||
\(261\) | −3.71878 | + | 2.70185i | −0.230187 | + | 0.167241i | ||||
\(262\) | 1.19187 | − | 3.66821i | 0.0736343 | − | 0.226623i | ||||
\(263\) | 21.7544 | − | 15.8055i | 1.34143 | − | 0.974609i | 0.342044 | − | 0.939684i | \(-0.388881\pi\) |
0.999390 | − | 0.0349248i | \(-0.0111192\pi\) | |||||||
\(264\) | −3.01351 | + | 2.18944i | −0.185468 | + | 0.134751i | ||||
\(265\) | 1.21586 | − | 3.74203i | 0.0746896 | − | 0.229871i | ||||
\(266\) | −0.0340798 | + | 0.0247604i | −0.00208957 | + | 0.00151816i | ||||
\(267\) | −4.88946 | − | 3.55240i | −0.299230 | − | 0.217403i | ||||
\(268\) | 3.91259 | + | 12.0417i | 0.238999 | + | 0.735565i | ||||
\(269\) | −9.33603 | − | 6.78302i | −0.569228 | − | 0.413568i | 0.265597 | − | 0.964084i | \(-0.414431\pi\) |
−0.834825 | + | 0.550516i | \(0.814431\pi\) | |||||||
\(270\) | −0.0218524 | + | 0.0672548i | −0.00132989 | + | 0.00409299i | ||||
\(271\) | 4.20004 | − | 12.9264i | 0.255134 | − | 0.785223i | −0.738669 | − | 0.674069i | \(-0.764545\pi\) |
0.993803 | − | 0.111154i | \(-0.0354548\pi\) | |||||||
\(272\) | −4.09937 | − | 12.6166i | −0.248561 | − | 0.764991i | ||||
\(273\) | −1.74566 | −0.105652 | ||||||||
\(274\) | −3.66056 | −0.221142 | ||||||||
\(275\) | −6.79923 | − | 20.9259i | −0.410009 | − | 1.26188i | ||||
\(276\) | 3.98176 | − | 2.89292i | 0.239674 | − | 0.174133i | ||||
\(277\) | 1.75414 | + | 1.27446i | 0.105396 | + | 0.0765748i | 0.639235 | − | 0.769011i | \(-0.279251\pi\) |
−0.533839 | + | 0.845586i | \(0.679251\pi\) | |||||||
\(278\) | 1.53969 | 0.0923446 | ||||||||
\(279\) | 5.12825 | − | 2.16819i | 0.307020 | − | 0.129806i | ||||
\(280\) | 0.201500 | 0.0120419 | ||||||||
\(281\) | −7.92865 | − | 5.76050i | −0.472984 | − | 0.343643i | 0.325619 | − | 0.945501i | \(-0.394427\pi\) |
−0.798603 | + | 0.601858i | \(0.794427\pi\) | |||||||
\(282\) | −1.09034 | + | 0.792175i | −0.0649285 | + | 0.0471733i | ||||
\(283\) | −1.00089 | − | 3.08043i | −0.0594969 | − | 0.183112i | 0.916891 | − | 0.399138i | \(-0.130691\pi\) |
−0.976388 | + | 0.216026i | \(0.930691\pi\) | |||||||
\(284\) | 19.5390 | 1.15943 | ||||||||
\(285\) | 0.0946363 | 0.00560577 | ||||||||
\(286\) | −0.705176 | − | 2.17031i | −0.0416980 | − | 0.128333i | ||||
\(287\) | −2.00096 | + | 6.15831i | −0.118113 | + | 0.363513i | ||||
\(288\) | 0.752762 | − | 2.31676i | 0.0443569 | − | 0.136517i | ||||
\(289\) | 3.57305 | + | 2.59597i | 0.210179 | + | 0.152704i | ||||
\(290\) | 0.100448 | + | 0.309148i | 0.00589853 | + | 0.0181538i | ||||
\(291\) | −13.5239 | − | 9.82566i | −0.792783 | − | 0.575990i | ||||
\(292\) | 10.8140 | − | 7.85684i | 0.632842 | − | 0.459787i | ||||
\(293\) | 1.52931 | − | 4.70672i | 0.0893431 | − | 0.274970i | −0.896395 | − | 0.443256i | \(-0.853823\pi\) |
0.985738 | + | 0.168286i | \(0.0538233\pi\) | |||||||
\(294\) | −1.09618 | + | 0.796423i | −0.0639306 | + | 0.0464483i | ||||
\(295\) | −1.69210 | + | 1.22938i | −0.0985176 | + | 0.0715773i | ||||
\(296\) | −1.72023 | + | 5.29432i | −0.0999862 | + | 0.307726i | ||||
\(297\) | 3.64350 | − | 2.64716i | 0.211417 | − | 0.153604i | ||||
\(298\) | 0.263177 | + | 0.191209i | 0.0152454 | + | 0.0110764i | ||||
\(299\) | 1.88432 | + | 5.79935i | 0.108973 | + | 0.335385i | ||||
\(300\) | 7.73229 | + | 5.61784i | 0.446424 | + | 0.324346i | ||||
\(301\) | −0.463937 | + | 1.42785i | −0.0267409 | + | 0.0822999i | ||||
\(302\) | −1.13891 | + | 3.50520i | −0.0655369 | + | 0.201702i | ||||
\(303\) | 5.69147 | + | 17.5165i | 0.326966 | + | 1.00630i | ||||
\(304\) | −1.04626 | −0.0600072 | ||||||||
\(305\) | −2.47818 | −0.141900 | ||||||||
\(306\) | −0.229164 | − | 0.705295i | −0.0131005 | − | 0.0403191i | ||||
\(307\) | −18.1144 | + | 13.1609i | −1.03384 | + | 0.751132i | −0.969074 | − | 0.246768i | \(-0.920631\pi\) |
−0.0647697 | + | 0.997900i | \(0.520631\pi\) | |||||||
\(308\) | −5.13361 | − | 3.72978i | −0.292514 | − | 0.212524i | ||||
\(309\) | 5.88367 | 0.334710 | ||||||||
\(310\) | −0.0337568 | − | 0.392279i | −0.00191725 | − | 0.0222800i | ||||
\(311\) | 29.9230 | 1.69678 | 0.848388 | − | 0.529375i | \(-0.177573\pi\) | ||||
0.848388 | + | 0.529375i | \(0.177573\pi\) | |||||||
\(312\) | 1.62181 | + | 1.17832i | 0.0918171 | + | 0.0667090i | ||||
\(313\) | −14.0584 | + | 10.2140i | −0.794629 | + | 0.577332i | −0.909334 | − | 0.416068i | \(-0.863408\pi\) |
0.114704 | + | 0.993400i | \(0.463408\pi\) | |||||||
\(314\) | −0.614930 | − | 1.89256i | −0.0347025 | − | 0.106803i | ||||
\(315\) | −0.243625 | −0.0137267 | ||||||||
\(316\) | 11.7679 | 0.661995 | ||||||||
\(317\) | −6.79389 | − | 20.9094i | −0.381583 | − | 1.17439i | −0.938929 | − | 0.344111i | \(-0.888180\pi\) |
0.557346 | − | 0.830280i | \(-0.311820\pi\) | |||||||
\(318\) | −0.751442 | + | 2.31270i | −0.0421388 | + | 0.129690i | ||||
\(319\) | 6.39715 | − | 19.6884i | 0.358172 | − | 1.10234i | ||||
\(320\) | 1.90743 | + | 1.38583i | 0.106629 | + | 0.0774703i | ||||
\(321\) | 2.32853 | + | 7.16649i | 0.129966 | + | 0.399995i | ||||
\(322\) | −0.306461 | − | 0.222657i | −0.0170784 | − | 0.0124082i | ||||
\(323\) | −0.802903 | + | 0.583343i | −0.0446747 | + | 0.0324581i | ||||
\(324\) | −0.604528 | + | 1.86055i | −0.0335849 | + | 0.103364i | ||||
\(325\) | −9.57995 | + | 6.96024i | −0.531400 | + | 0.386085i | ||||
\(326\) | −0.875432 | + | 0.636038i | −0.0484857 | + | 0.0352269i | ||||
\(327\) | 2.28493 | − | 7.03230i | 0.126357 | − | 0.388887i | ||||
\(328\) | 6.01584 | − | 4.37076i | 0.332169 | − | 0.241335i | ||||
\(329\) | −3.75634 | − | 2.72914i | −0.207094 | − | 0.150462i | ||||
\(330\) | −0.0984148 | − | 0.302889i | −0.00541755 | − | 0.0166735i | ||||
\(331\) | 18.1802 | + | 13.2087i | 0.999276 | + | 0.726017i | 0.961933 | − | 0.273286i | \(-0.0881105\pi\) |
0.0373434 | + | 0.999302i | \(0.488110\pi\) | |||||||
\(332\) | −6.33412 | + | 19.4944i | −0.347630 | + | 1.06989i | ||||
\(333\) | 2.07985 | − | 6.40113i | 0.113975 | − | 0.350780i | ||||
\(334\) | −1.44639 | − | 4.45153i | −0.0791429 | − | 0.243577i | ||||
\(335\) | −2.18927 | −0.119613 | ||||||||
\(336\) | 2.69342 | 0.146938 | ||||||||
\(337\) | 4.88558 | + | 15.0363i | 0.266134 | + | 0.819078i | 0.991430 | + | 0.130640i | \(0.0417032\pi\) |
−0.725295 | + | 0.688438i | \(0.758297\pi\) | |||||||
\(338\) | 1.20512 | − | 0.875571i | 0.0655499 | − | 0.0476248i | ||||
\(339\) | −15.0048 | − | 10.9016i | −0.814950 | − | 0.592096i | ||||
\(340\) | 2.34740 | 0.127306 | ||||||||
\(341\) | −12.9452 | + | 21.4751i | −0.701023 | + | 1.16294i | ||||
\(342\) | −0.0584884 | −0.00316269 | ||||||||
\(343\) | −7.85521 | − | 5.70715i | −0.424142 | − | 0.308157i | ||||
\(344\) | 1.39482 | − | 1.01339i | 0.0752036 | − | 0.0546386i | ||||
\(345\) | 0.262977 | + | 0.809360i | 0.0141582 | + | 0.0435745i | ||||
\(346\) | 1.91016 | 0.102691 | ||||||||
\(347\) | −26.2231 | −1.40773 | −0.703865 | − | 0.710334i | \(-0.748544\pi\) | ||||
−0.703865 | + | 0.710334i | \(0.748544\pi\) | |||||||
\(348\) | 2.77882 | + | 8.55232i | 0.148960 | + | 0.458453i | ||||
\(349\) | −2.81303 | + | 8.65763i | −0.150578 | + | 0.463432i | −0.997686 | − | 0.0679888i | \(-0.978342\pi\) |
0.847108 | + | 0.531421i | \(0.178342\pi\) | |||||||
\(350\) | 0.227317 | − | 0.699611i | 0.0121506 | − | 0.0373958i | ||||
\(351\) | −1.96086 | − | 1.42465i | −0.104663 | − | 0.0760422i | ||||
\(352\) | 3.39015 | + | 10.4338i | 0.180695 | + | 0.556124i | ||||
\(353\) | 19.3945 | + | 14.0909i | 1.03226 | + | 0.749983i | 0.968760 | − | 0.247999i | \(-0.0797730\pi\) |
0.0635023 | + | 0.997982i | \(0.479773\pi\) | |||||||
\(354\) | 1.04577 | − | 0.759798i | 0.0555822 | − | 0.0403828i | ||||
\(355\) | −1.04401 | + | 3.21312i | −0.0554101 | + | 0.170535i | ||||
\(356\) | −9.56523 | + | 6.94954i | −0.506956 | + | 0.368325i | ||||
\(357\) | 2.06694 | − | 1.50172i | 0.109394 | − | 0.0794793i | ||||
\(358\) | 0.0162659 | − | 0.0500612i | 0.000859678 | − | 0.00264582i | ||||
\(359\) | −18.0922 | + | 13.1448i | −0.954872 | + | 0.693755i | −0.951954 | − | 0.306241i | \(-0.900929\pi\) |
−0.00291771 | + | 0.999996i | \(0.500929\pi\) | |||||||
\(360\) | 0.226341 | + | 0.164446i | 0.0119292 | + | 0.00866708i | ||||
\(361\) | −5.84714 | − | 17.9956i | −0.307744 | − | 0.947139i | ||||
\(362\) | −2.62224 | − | 1.90517i | −0.137822 | − | 0.100134i | ||||
\(363\) | −2.86846 | + | 8.82821i | −0.150555 | + | 0.463361i | ||||
\(364\) | −1.05530 | + | 3.24788i | −0.0553128 | + | 0.170235i | ||||
\(365\) | 0.714216 | + | 2.19813i | 0.0373838 | + | 0.115055i | ||||
\(366\) | 1.53160 | 0.0800581 | ||||||||
\(367\) | −0.534114 | −0.0278805 | −0.0139403 | − | 0.999903i | \(-0.504437\pi\) | ||||
−0.0139403 | + | 0.999903i | \(0.504437\pi\) | |||||||
\(368\) | −2.90737 | − | 8.94796i | −0.151557 | − | 0.466445i | ||||
\(369\) | −7.27349 | + | 5.28450i | −0.378643 | + | 0.275100i | ||||
\(370\) | −0.385057 | − | 0.279760i | −0.0200181 | − | 0.0145440i | ||||
\(371\) | −8.37757 | −0.434942 | ||||||||
\(372\) | −0.933853 | − | 10.8521i | −0.0484180 | − | 0.562654i | ||||
\(373\) | 3.31092 | 0.171433 | 0.0857165 | − | 0.996320i | \(-0.472682\pi\) | ||||
0.0857165 | + | 0.996320i | \(0.472682\pi\) | |||||||
\(374\) | 2.70199 | + | 1.96311i | 0.139716 | + | 0.101510i | ||||
\(375\) | −2.70528 | + | 1.96550i | −0.139700 | + | 0.101498i | ||||
\(376\) | 1.64768 | + | 5.07104i | 0.0849727 | + | 0.261519i | ||||
\(377\) | −11.1412 | −0.573802 | ||||||||
\(378\) | 0.150568 | 0.00774441 | ||||||||
\(379\) | −10.2570 | − | 31.5677i | −0.526865 | − | 1.62152i | −0.760598 | − | 0.649223i | \(-0.775094\pi\) |
0.233733 | − | 0.972301i | \(-0.424906\pi\) | |||||||
\(380\) | 0.0572103 | − | 0.176075i | 0.00293483 | − | 0.00903247i | ||||
\(381\) | 5.55422 | − | 17.0941i | 0.284551 | − | 0.875759i | ||||
\(382\) | 1.28154 | + | 0.931093i | 0.0655692 | + | 0.0476388i | ||||
\(383\) | −1.49628 | − | 4.60509i | −0.0764566 | − | 0.235309i | 0.905523 | − | 0.424298i | \(-0.139479\pi\) |
−0.981979 | + | 0.188989i | \(0.939479\pi\) | |||||||
\(384\) | −5.12037 | − | 3.72017i | −0.261298 | − | 0.189844i | ||||
\(385\) | 0.887647 | − | 0.644914i | 0.0452387 | − | 0.0328678i | ||||
\(386\) | 1.32871 | − | 4.08936i | 0.0676297 | − | 0.208143i | ||||
\(387\) | −1.68641 | + | 1.22525i | −0.0857253 | + | 0.0622831i | ||||
\(388\) | −26.4567 | + | 19.2219i | −1.34313 | + | 0.975843i | ||||
\(389\) | −10.0725 | + | 31.0000i | −0.510697 | + | 1.57176i | 0.280280 | + | 0.959918i | \(0.409573\pi\) |
−0.790977 | + | 0.611846i | \(0.790427\pi\) | |||||||
\(390\) | −0.138664 | + | 0.100745i | −0.00702153 | + | 0.00510144i | ||||
\(391\) | −7.22006 | − | 5.24568i | −0.365134 | − | 0.265286i | ||||
\(392\) | 1.65652 | + | 5.09824i | 0.0836667 | + | 0.257500i | ||||
\(393\) | 14.9259 | + | 10.8443i | 0.752914 | + | 0.547024i | ||||
\(394\) | −0.358649 | + | 1.10381i | −0.0180685 | + | 0.0556091i | ||||
\(395\) | −0.628779 | + | 1.93518i | −0.0316373 | + | 0.0973696i | ||||
\(396\) | −2.72256 | − | 8.37919i | −0.136814 | − | 0.421070i | ||||
\(397\) | −15.5216 | −0.779005 | −0.389502 | − | 0.921025i | \(-0.627353\pi\) | ||||
−0.389502 | + | 0.921025i | \(0.627353\pi\) | |||||||
\(398\) | 1.15819 | 0.0580550 | ||||||||
\(399\) | −0.0622669 | − | 0.191638i | −0.00311724 | − | 0.00959389i | ||||
\(400\) | 14.7812 | − | 10.7391i | 0.739058 | − | 0.536957i | ||||
\(401\) | 13.2031 | + | 9.59265i | 0.659334 | + | 0.479034i | 0.866438 | − | 0.499285i | \(-0.166404\pi\) |
−0.207104 | + | 0.978319i | \(0.566404\pi\) | |||||||
\(402\) | 1.35304 | 0.0674837 | ||||||||
\(403\) | 13.1447 | + | 3.05443i | 0.654785 | + | 0.152152i | ||||
\(404\) | 36.0310 | 1.79261 | ||||||||
\(405\) | −0.273659 | − | 0.198825i | −0.0135982 | − | 0.00987969i | ||||
\(406\) | 0.559932 | − | 0.406814i | 0.0277889 | − | 0.0201898i | ||||
\(407\) | 9.36685 | + | 28.8282i | 0.464298 | + | 1.42896i | ||||
\(408\) | −2.93395 | −0.145252 | ||||||||
\(409\) | −15.9103 | −0.786713 | −0.393356 | − | 0.919386i | \(-0.628686\pi\) | ||||
−0.393356 | + | 0.919386i | \(0.628686\pi\) | |||||||
\(410\) | 0.196465 | + | 0.604656i | 0.00970270 | + | 0.0298618i | ||||
\(411\) | 5.41085 | − | 16.6529i | 0.266897 | − | 0.821425i | ||||
\(412\) | 3.55685 | − | 10.9468i | 0.175233 | − | 0.539312i | ||||
\(413\) | 3.60282 | + | 2.61760i | 0.177283 | + | 0.128804i | ||||
\(414\) | −0.162529 | − | 0.500212i | −0.00798785 | − | 0.0245841i | ||||
\(415\) | −2.86734 | − | 2.08324i | −0.140752 | − | 0.102262i | ||||
\(416\) | 4.77664 | − | 3.47043i | 0.234194 | − | 0.170152i | ||||
\(417\) | −2.27589 | + | 7.00448i | −0.111451 | + | 0.343011i | ||||
\(418\) | 0.213103 | − | 0.154828i | 0.0104232 | − | 0.00757289i | ||||
\(419\) | −16.2198 | + | 11.7844i | −0.792391 | + | 0.575706i | −0.908672 | − | 0.417511i | \(-0.862903\pi\) |
0.116281 | + | 0.993216i | \(0.462903\pi\) | |||||||
\(420\) | −0.147278 | + | 0.453276i | −0.00718644 | + | 0.0221176i | ||||
\(421\) | 19.0718 | − | 13.8564i | 0.929501 | − | 0.675322i | −0.0163696 | − | 0.999866i | \(-0.505211\pi\) |
0.945871 | + | 0.324544i | \(0.105211\pi\) | |||||||
\(422\) | 1.35032 | + | 0.981067i | 0.0657327 | + | 0.0477576i | ||||
\(423\) | −1.99214 | − | 6.13118i | −0.0968612 | − | 0.298108i | ||||
\(424\) | 7.78322 | + | 5.65484i | 0.377987 | + | 0.274623i | ||||
\(425\) | 5.35548 | − | 16.4825i | 0.259779 | − | 0.799518i | ||||
\(426\) | 0.645232 | − | 1.98582i | 0.0312616 | − | 0.0962132i | ||||
\(427\) | 1.63055 | + | 5.01830i | 0.0789076 | + | 0.242853i | ||||
\(428\) | 14.7413 | 0.712546 | ||||||||
\(429\) | 10.9157 | 0.527014 | ||||||||
\(430\) | 0.0455518 | + | 0.140194i | 0.00219670 | + | 0.00676076i | ||||
\(431\) | 8.96576 | − | 6.51400i | 0.431865 | − | 0.313768i | −0.350529 | − | 0.936552i | \(-0.613998\pi\) |
0.782394 | + | 0.622783i | \(0.213998\pi\) | |||||||
\(432\) | 3.02547 | + | 2.19813i | 0.145563 | + | 0.105758i | ||||
\(433\) | −2.84260 | −0.136607 | −0.0683034 | − | 0.997665i | \(-0.521759\pi\) | ||||
−0.0683034 | + | 0.997665i | \(0.521759\pi\) | |||||||
\(434\) | −0.772153 | + | 0.326462i | −0.0370645 | + | 0.0156707i | ||||
\(435\) | −1.55488 | −0.0745506 | ||||||||
\(436\) | −11.7026 | − | 8.50245i | −0.560454 | − | 0.407193i | ||||
\(437\) | −0.569438 | + | 0.413721i | −0.0272399 | + | 0.0197909i | ||||
\(438\) | −0.441410 | − | 1.35852i | −0.0210914 | − | 0.0649125i | ||||
\(439\) | 18.0543 | 0.861684 | 0.430842 | − | 0.902427i | \(-0.358217\pi\) | ||||
0.430842 | + | 0.902427i | \(0.358217\pi\) | |||||||
\(440\) | −1.25999 | −0.0600676 | ||||||||
\(441\) | −2.00282 | − | 6.16406i | −0.0953725 | − | 0.293527i | ||||
\(442\) | 0.555440 | − | 1.70947i | 0.0264196 | − | 0.0813111i | ||||
\(443\) | 3.23229 | − | 9.94796i | 0.153571 | − | 0.472642i | −0.844443 | − | 0.535646i | \(-0.820068\pi\) |
0.998013 | + | 0.0630041i | \(0.0200681\pi\) | |||||||
\(444\) | −10.6523 | − | 7.73933i | −0.505534 | − | 0.367292i | ||||
\(445\) | −0.631739 | − | 1.94429i | −0.0299473 | − | 0.0921683i | ||||
\(446\) | −0.930197 | − | 0.675828i | −0.0440461 | − | 0.0320014i | ||||
\(447\) | −1.25888 | + | 0.914627i | −0.0595428 | + | 0.0432604i | ||||
\(448\) | 1.55128 | − | 4.77436i | 0.0732912 | − | 0.225567i | ||||
\(449\) | 11.9699 | − | 8.69664i | 0.564895 | − | 0.410420i | −0.268352 | − | 0.963321i | \(-0.586479\pi\) |
0.833247 | + | 0.552901i | \(0.186479\pi\) | |||||||
\(450\) | 0.826301 | − | 0.600343i | 0.0389522 | − | 0.0283004i | ||||
\(451\) | 12.5121 | − | 38.5082i | 0.589170 | − | 1.81328i | ||||
\(452\) | −29.3539 | + | 21.3268i | −1.38069 | + | 1.00313i | ||||
\(453\) | −14.2626 | − | 10.3624i | −0.670118 | − | 0.486869i | ||||
\(454\) | −0.0982283 | − | 0.302316i | −0.00461008 | − | 0.0141884i | ||||
\(455\) | −0.477715 | − | 0.347080i | −0.0223956 | − | 0.0162714i | ||||
\(456\) | −0.0715058 | + | 0.220072i | −0.00334856 | + | 0.0103058i | ||||
\(457\) | −0.821079 | + | 2.52702i | −0.0384085 | + | 0.118209i | −0.968422 | − | 0.249315i | \(-0.919795\pi\) |
0.930014 | + | 0.367524i | \(0.119795\pi\) | |||||||
\(458\) | 0.509362 | + | 1.56766i | 0.0238009 | + | 0.0732517i | ||||
\(459\) | 3.54732 | 0.165575 | ||||||||
\(460\) | 1.66483 | 0.0776231 | ||||||||
\(461\) | −0.592466 | − | 1.82342i | −0.0275939 | − | 0.0849253i | 0.936311 | − | 0.351171i | \(-0.114217\pi\) |
−0.963905 | + | 0.266246i | \(0.914217\pi\) | |||||||
\(462\) | −0.548596 | + | 0.398579i | −0.0255230 | + | 0.0185436i | ||||
\(463\) | 4.72591 | + | 3.43357i | 0.219632 | + | 0.159572i | 0.692161 | − | 0.721743i | \(-0.256659\pi\) |
−0.472529 | + | 0.881315i | \(0.656659\pi\) | |||||||
\(464\) | 17.1901 | 0.798029 | ||||||||
\(465\) | 1.83448 | + | 0.426278i | 0.0850721 | + | 0.0197682i | ||||
\(466\) | −3.41681 | −0.158281 | ||||||||
\(467\) | 0.377130 | + | 0.274001i | 0.0174515 | + | 0.0126793i | 0.596477 | − | 0.802630i | \(-0.296567\pi\) |
−0.579025 | + | 0.815310i | \(0.696567\pi\) | |||||||
\(468\) | −3.83603 | + | 2.78704i | −0.177320 | + | 0.128831i | ||||
\(469\) | 1.44045 | + | 4.43326i | 0.0665140 | + | 0.204709i | ||||
\(470\) | −0.455884 | −0.0210284 | ||||||||
\(471\) | 9.51873 | 0.438600 | ||||||||
\(472\) | −1.58034 | − | 4.86379i | −0.0727411 | − | 0.223874i | ||||
\(473\) | 2.90102 | − | 8.92841i | 0.133389 | − | 0.410529i | ||||
\(474\) | 0.388607 | − | 1.19601i | 0.0178493 | − | 0.0549345i | ||||
\(475\) | −1.10581 | − | 0.803416i | −0.0507379 | − | 0.0368632i | ||||
\(476\) | −1.54449 | − | 4.75347i | −0.0707918 | − | 0.217875i | ||||
\(477\) | −9.41036 | − | 6.83702i | −0.430871 | − | 0.313046i | ||||
\(478\) | −5.01509 | + | 3.64367i | −0.229385 | + | 0.166658i | ||||
\(479\) | −4.71458 | + | 14.5100i | −0.215415 | + | 0.662978i | 0.783709 | + | 0.621128i | \(0.213325\pi\) |
−0.999124 | + | 0.0418503i | \(0.986675\pi\) | |||||||
\(480\) | 0.666630 | − | 0.484335i | 0.0304274 | − | 0.0221068i | ||||
\(481\) | 13.1977 | − | 9.58868i | 0.601762 | − | 0.437206i | ||||
\(482\) | 1.49086 | − | 4.58841i | 0.0679070 | − | 0.208996i | ||||
\(483\) | 1.46592 | − | 1.06505i | 0.0667017 | − | 0.0484616i | ||||
\(484\) | 14.6912 | + | 10.6738i | 0.667784 | + | 0.485173i | ||||
\(485\) | −1.74734 | − | 5.37776i | −0.0793426 | − | 0.244192i | ||||
\(486\) | 0.169131 | + | 0.122881i | 0.00767192 | + | 0.00557398i | ||||
\(487\) | 1.35634 | − | 4.17437i | 0.0614614 | − | 0.189159i | −0.915611 | − | 0.402065i | \(-0.868293\pi\) |
0.977073 | + | 0.212906i | \(0.0682927\pi\) | |||||||
\(488\) | 1.87248 | − | 5.76289i | 0.0847631 | − | 0.260874i | ||||
\(489\) | −1.59949 | − | 4.92273i | −0.0723316 | − | 0.222614i | ||||
\(490\) | −0.458329 | −0.0207052 | ||||||||
\(491\) | −7.45678 | −0.336520 | −0.168260 | − | 0.985743i | \(-0.553815\pi\) | ||||
−0.168260 | + | 0.985743i | \(0.553815\pi\) | |||||||
\(492\) | 5.43503 | + | 16.7273i | 0.245030 | + | 0.754125i | ||||
\(493\) | 13.1917 | − | 9.58434i | 0.594125 | − | 0.431657i | ||||
\(494\) | −0.114688 | − | 0.0833256i | −0.00516005 | − | 0.00374900i | ||||
\(495\) | 1.52340 | 0.0684716 | ||||||||
\(496\) | −20.2813 | − | 4.71276i | −0.910658 | − | 0.211609i | ||||
\(497\) | 7.19347 | 0.322671 | ||||||||
\(498\) | 1.77211 | + | 1.28752i | 0.0794103 | + | 0.0576950i | ||||
\(499\) | −25.8687 | + | 18.7947i | −1.15804 | + | 0.841365i | −0.989529 | − | 0.144334i | \(-0.953896\pi\) |
−0.168511 | + | 0.985700i | \(0.553896\pi\) | |||||||
\(500\) | 2.02149 | + | 6.22150i | 0.0904037 | + | 0.278234i | ||||
\(501\) | 22.3892 | 1.00028 | ||||||||
\(502\) | −3.24639 | −0.144893 | ||||||||
\(503\) | −10.7308 | − | 33.0259i | −0.478461 | − | 1.47255i | −0.841232 | − | 0.540674i | \(-0.818169\pi\) |
0.362771 | − | 0.931878i | \(-0.381831\pi\) | |||||||
\(504\) | 0.184079 | − | 0.566538i | 0.00819955 | − | 0.0252356i | ||||
\(505\) | −1.92520 | + | 5.92517i | −0.0856705 | + | 0.263667i | ||||
\(506\) | 1.91631 | + | 1.39228i | 0.0851905 | + | 0.0618945i | ||||
\(507\) | 2.20186 | + | 6.77664i | 0.0977882 | + | 0.300961i | ||||
\(508\) | −28.4468 | − | 20.6678i | −1.26212 | − | 0.916985i | ||||
\(509\) | −25.7010 | + | 18.6729i | −1.13918 | + | 0.827661i | −0.987005 | − | 0.160693i | \(-0.948627\pi\) |
−0.152173 | + | 0.988354i | \(0.548627\pi\) | |||||||
\(510\) | 0.0775174 | − | 0.238574i | 0.00343253 | − | 0.0105642i | ||||
\(511\) | 3.98127 | − | 2.89256i | 0.176121 | − | 0.127959i | ||||
\(512\) | −12.3747 | + | 8.99072i | −0.546888 | + | 0.397338i | ||||
\(513\) | 0.0864545 | − | 0.266080i | 0.00381706 | − | 0.0117477i | ||||
\(514\) | 1.92678 | − | 1.39989i | 0.0849868 | − | 0.0617465i | ||||
\(515\) | 1.61012 | + | 1.16982i | 0.0709503 | + | 0.0515484i | ||||
\(516\) | 1.26015 | + | 3.87835i | 0.0554752 | + | 0.170735i | ||||
\(517\) | 23.4886 | + | 17.0654i | 1.03303 | + | 0.750537i | ||||
\(518\) | −0.313160 | + | 0.963808i | −0.0137595 | + | 0.0423473i | ||||
\(519\) | −2.82350 | + | 8.68984i | −0.123938 | + | 0.381441i | ||||
\(520\) | 0.209545 | + | 0.644914i | 0.00918916 | + | 0.0282813i | ||||
\(521\) | 16.8542 | 0.738397 | 0.369199 | − | 0.929351i | \(-0.379632\pi\) | ||||
0.369199 | + | 0.929351i | \(0.379632\pi\) | |||||||
\(522\) | 0.960966 | 0.0420603 | ||||||||
\(523\) | 10.7973 | + | 33.2305i | 0.472131 | + | 1.45307i | 0.849788 | + | 0.527124i | \(0.176730\pi\) |
−0.377657 | + | 0.925945i | \(0.623270\pi\) | |||||||
\(524\) | 29.1995 | − | 21.2147i | 1.27559 | − | 0.926768i | ||||
\(525\) | 2.84671 | + | 2.06826i | 0.124241 | + | 0.0902661i | ||||
\(526\) | −5.62152 | −0.245110 | ||||||||
\(527\) | −18.1915 | + | 7.69127i | −0.792436 | + | 0.335037i | ||||
\(528\) | −16.8421 | −0.732957 | ||||||||
\(529\) | 13.4868 | + | 9.79870i | 0.586381 | + | 0.426030i | ||||
\(530\) | −0.665461 | + | 0.483486i | −0.0289058 | + | 0.0210013i | ||||
\(531\) | 1.91072 | + | 5.88060i | 0.0829183 | + | 0.255196i | ||||
\(532\) | −0.394193 | −0.0170905 | ||||||||
\(533\) | −21.7909 | −0.943869 | ||||||||
\(534\) | 0.390436 | + | 1.20164i | 0.0168958 | + | 0.0520000i | ||||
\(535\) | −0.787653 | + | 2.42415i | −0.0340532 | + | 0.104805i | ||||
\(536\) | 1.65418 | − | 5.09105i | 0.0714498 | − | 0.219900i | ||||
\(537\) | 0.203699 | + | 0.147996i | 0.00879024 | + | 0.00638649i | ||||
\(538\) | 0.745506 | + | 2.29443i | 0.0321411 | + | 0.0989200i | ||||
\(539\) | 23.6145 | + | 17.1569i | 1.01715 | + | 0.739002i | ||||
\(540\) | −0.535358 | + | 0.388960i | −0.0230381 | + | 0.0167382i | ||||
\(541\) | 5.39939 | − | 16.6176i | 0.232138 | − | 0.714447i | −0.765350 | − | 0.643614i | \(-0.777434\pi\) |
0.997488 | − | 0.0708328i | \(-0.0225657\pi\) | |||||||
\(542\) | −2.29876 | + | 1.67015i | −0.0987402 | + | 0.0717390i | ||||
\(543\) | 12.5432 | − | 9.11318i | 0.538281 | − | 0.391084i | ||||
\(544\) | −2.67029 | + | 8.21829i | −0.114488 | + | 0.352356i | ||||
\(545\) | 2.02349 | − | 1.47015i | 0.0866767 | − | 0.0629743i | ||||
\(546\) | 0.295244 | + | 0.214508i | 0.0126353 | + | 0.00918007i | ||||
\(547\) | 7.23174 | + | 22.2570i | 0.309207 | + | 0.951641i | 0.978074 | + | 0.208259i | \(0.0667796\pi\) |
−0.668867 | + | 0.743382i | \(0.733220\pi\) | |||||||
\(548\) | −27.7124 | − | 20.1343i | −1.18382 | − | 0.860093i | ||||
\(549\) | −2.26393 | + | 6.96767i | −0.0966223 | + | 0.297373i | ||||
\(550\) | −1.42143 | + | 4.37470i | −0.0606098 | + | 0.186538i | ||||
\(551\) | −0.397403 | − | 1.22308i | −0.0169299 | − | 0.0521050i | ||||
\(552\) | −2.08083 | −0.0885660 | ||||||||
\(553\) | 4.33245 | 0.184234 | ||||||||
\(554\) | −0.140073 | − | 0.431100i | −0.00595113 | − | 0.0183157i | ||||
\(555\) | 1.84187 | − | 1.33820i | 0.0781832 | − | 0.0568034i | ||||
\(556\) | 11.6563 | + | 8.46881i | 0.494338 | + | 0.359158i | ||||
\(557\) | −2.04586 | −0.0866859 | −0.0433430 | − | 0.999060i | \(-0.513801\pi\) | ||||
−0.0433430 | + | 0.999060i | \(0.513801\pi\) | |||||||
\(558\) | −1.13377 | − | 0.263454i | −0.0479964 | − | 0.0111529i | ||||
\(559\) | −5.05239 | −0.213693 | ||||||||
\(560\) | 0.737079 | + | 0.535519i | 0.0311473 | + | 0.0226298i | ||||
\(561\) | −12.9247 | + | 9.39031i | −0.545679 | + | 0.396459i | ||||
\(562\) | 0.633124 | + | 1.94855i | 0.0267067 | + | 0.0821948i | ||||
\(563\) | −13.2675 | −0.559159 | −0.279579 | − | 0.960123i | \(-0.590195\pi\) | ||||
−0.279579 | + | 0.960123i | \(0.590195\pi\) | |||||||
\(564\) | −12.6117 | −0.531047 | ||||||||
\(565\) | −1.93869 | − | 5.96667i | −0.0815612 | − | 0.251020i | ||||
\(566\) | −0.209243 | + | 0.643985i | −0.00879516 | + | 0.0270687i | ||||
\(567\) | −0.222562 | + | 0.684977i | −0.00934674 | + | 0.0287663i | ||||
\(568\) | −6.68312 | − | 4.85557i | −0.280418 | − | 0.203735i | ||||
\(569\) | −12.6831 | − | 39.0346i | −0.531704 | − | 1.63642i | −0.750665 | − | 0.660684i | \(-0.770267\pi\) |
0.218960 | − | 0.975734i | \(-0.429733\pi\) | |||||||
\(570\) | −0.0160059 | − | 0.0116290i | −0.000670413 | − | 0.000487084i | ||||
\(571\) | −36.3259 | + | 26.3923i | −1.52019 | + | 1.10448i | −0.558800 | + | 0.829303i | \(0.688738\pi\) |
−0.961392 | + | 0.275181i | \(0.911262\pi\) | |||||||
\(572\) | 6.59884 | − | 20.3091i | 0.275911 | − | 0.849168i | ||||
\(573\) | −6.13010 | + | 4.45378i | −0.256088 | + | 0.186059i | ||||
\(574\) | 1.09516 | − | 0.795680i | 0.0457111 | − | 0.0332110i | ||||
\(575\) | 3.79823 | − | 11.6898i | 0.158397 | − | 0.487497i | ||||
\(576\) | 5.63893 | − | 4.09692i | 0.234955 | − | 0.170705i | ||||
\(577\) | −33.7114 | − | 24.4928i | −1.40343 | − | 1.01965i | −0.994238 | − | 0.107198i | \(-0.965812\pi\) |
−0.409188 | − | 0.912450i | \(-0.634188\pi\) | |||||||
\(578\) | −0.285318 | − | 0.878117i | −0.0118676 | − | 0.0365249i | ||||
\(579\) | 16.6396 | + | 12.0893i | 0.691516 | + | 0.502416i | ||||
\(580\) | −0.939966 | + | 2.89292i | −0.0390300 | + | 0.120122i | ||||
\(581\) | −2.33196 | + | 7.17704i | −0.0967460 | + | 0.297754i | ||||
\(582\) | 1.07992 | + | 3.32364i | 0.0447639 | + | 0.137769i | ||||
\(583\) | 52.3853 | 2.16958 | ||||||||
\(584\) | −5.65130 | −0.233852 | ||||||||
\(585\) | −0.253352 | − | 0.779737i | −0.0104748 | − | 0.0322382i | ||||
\(586\) | −0.837018 | + | 0.608129i | −0.0345769 | + | 0.0251216i | ||||
\(587\) | −0.701665 | − | 0.509790i | −0.0289608 | − | 0.0210413i | 0.573211 | − | 0.819408i | \(-0.305698\pi\) |
−0.602172 | + | 0.798367i | \(0.705698\pi\) | |||||||
\(588\) | −12.6793 | −0.522885 | ||||||||
\(589\) | 0.133552 | + | 1.55197i | 0.00550290 | + | 0.0639479i | ||||
\(590\) | 0.437252 | 0.0180014 | ||||||||
\(591\) | −4.49139 | − | 3.26318i | −0.184751 | − | 0.134229i | ||||
\(592\) | −20.3630 | + | 14.7946i | −0.836915 | + | 0.608055i | ||||
\(593\) | 8.28104 | + | 25.4864i | 0.340061 | + | 1.04660i | 0.964175 | + | 0.265268i | \(0.0854603\pi\) |
−0.624113 | + | 0.781334i | \(0.714540\pi\) | |||||||
\(594\) | −0.941512 | −0.0386307 | ||||||||
\(595\) | 0.864215 | 0.0354294 | ||||||||
\(596\) | 0.940680 | + | 2.89512i | 0.0385318 | + | 0.118589i | ||||
\(597\) | −1.71198 | + | 5.26894i | −0.0700668 | + | 0.215643i | ||||
\(598\) | 0.393931 | − | 1.21239i | 0.0161090 | − | 0.0495785i | ||||
\(599\) | 11.4761 | + | 8.33785i | 0.468900 | + | 0.340676i | 0.797012 | − | 0.603963i | \(-0.206413\pi\) |
−0.328113 | + | 0.944639i | \(0.606413\pi\) | |||||||
\(600\) | −1.24868 | − | 3.84305i | −0.0509772 | − | 0.156892i | ||||
\(601\) | 15.8143 | + | 11.4898i | 0.645080 | + | 0.468678i | 0.861592 | − | 0.507602i | \(-0.169468\pi\) |
−0.216512 | + | 0.976280i | \(0.569468\pi\) | |||||||
\(602\) | 0.253921 | − | 0.184484i | 0.0103490 | − | 0.00751902i | ||||
\(603\) | −2.00000 | + | 6.15537i | −0.0814463 | + | 0.250666i | ||||
\(604\) | −27.9019 | + | 20.2720i | −1.13531 | + | 0.824854i | ||||
\(605\) | −2.54025 | + | 1.84560i | −0.103276 | + | 0.0750343i | ||||
\(606\) | 1.18984 | − | 3.66196i | 0.0483340 | − | 0.148757i | ||||
\(607\) | −35.6549 | + | 25.9048i | −1.44719 | + | 1.05144i | −0.460708 | + | 0.887552i | \(0.652404\pi\) |
−0.986479 | + | 0.163891i | \(0.947596\pi\) | |||||||
\(608\) | 0.551364 | + | 0.400589i | 0.0223608 | + | 0.0162460i | ||||
\(609\) | 1.02305 | + | 3.14861i | 0.0414559 | + | 0.127588i | ||||
\(610\) | 0.419136 | + | 0.304520i | 0.0169703 | + | 0.0123297i | ||||
\(611\) | 4.82847 | − | 14.8605i | 0.195339 | − | 0.601192i | ||||
\(612\) | 2.14445 | − | 6.59995i | 0.0866844 | − | 0.266787i | ||||
\(613\) | −4.15761 | − | 12.7958i | −0.167924 | − | 0.516818i | 0.831316 | − | 0.555801i | \(-0.187588\pi\) |
−0.999240 | + | 0.0389829i | \(0.987588\pi\) | |||||||
\(614\) | 4.68092 | 0.188907 | ||||||||
\(615\) | −3.04115 | −0.122631 | ||||||||
\(616\) | 0.829022 | + | 2.55147i | 0.0334023 | + | 0.102802i | ||||
\(617\) | 22.7831 | − | 16.5529i | 0.917214 | − | 0.666395i | −0.0256150 | − | 0.999672i | \(-0.508154\pi\) |
0.942829 | + | 0.333277i | \(0.108154\pi\) | |||||||
\(618\) | −0.995109 | − | 0.722989i | −0.0400291 | − | 0.0290829i | ||||
\(619\) | 13.5207 | 0.543443 | 0.271722 | − | 0.962376i | \(-0.412407\pi\) | ||||
0.271722 | + | 0.962376i | \(0.412407\pi\) | |||||||
\(620\) | 1.90211 | − | 3.15544i | 0.0763905 | − | 0.126726i | ||||
\(621\) | 2.51584 | 0.100957 | ||||||||
\(622\) | −5.06089 | − | 3.67695i | −0.202923 | − | 0.147432i | ||||
\(623\) | −3.52152 | + | 2.55854i | −0.141087 | + | 0.102506i | ||||
\(624\) | 2.80096 | + | 8.62046i | 0.112128 | + | 0.345095i | ||||
\(625\) | 23.2968 | 0.931871 | ||||||||
\(626\) | 3.63282 | 0.145197 | ||||||||
\(627\) | 0.389358 | + | 1.19832i | 0.0155495 | + | 0.0478563i | ||||
\(628\) | 5.75434 | − | 17.7100i | 0.229623 | − | 0.706708i | ||||
\(629\) | −7.37790 | + | 22.7068i | −0.294176 | + | 0.905381i | ||||
\(630\) | 0.0412044 | + | 0.0299368i | 0.00164162 | + | 0.00119271i | ||||
\(631\) | −1.54120 | − | 4.74334i | −0.0613544 | − | 0.188829i | 0.915681 | − | 0.401905i | \(-0.131652\pi\) |
−0.977036 | + | 0.213076i | \(0.931652\pi\) | |||||||
\(632\) | −4.02508 | − | 2.92439i | −0.160109 | − | 0.116326i | ||||
\(633\) | −6.45912 | + | 4.69282i | −0.256727 | + | 0.186523i | ||||
\(634\) | −1.42031 | + | 4.37126i | −0.0564077 | + | 0.173605i | ||||
\(635\) | 4.91870 | − | 3.57365i | 0.195193 | − | 0.141816i | ||||
\(636\) | −18.4094 | + | 13.3752i | −0.729982 | + | 0.530363i | ||||
\(637\) | 4.85436 | − | 14.9402i | 0.192337 | − | 0.591952i | ||||
\(638\) | −3.50128 | + | 2.54383i | −0.138617 | + | 0.100711i | ||||
\(639\) | 8.08028 | + | 5.87067i | 0.319651 | + | 0.232240i | ||||
\(640\) | −0.661574 | − | 2.03611i | −0.0261510 | − | 0.0804845i | ||||
\(641\) | 3.66562 | + | 2.66323i | 0.144783 | + | 0.105191i | 0.657819 | − | 0.753176i | \(-0.271479\pi\) |
−0.513036 | + | 0.858367i | \(0.671479\pi\) | |||||||
\(642\) | 0.486796 | − | 1.49820i | 0.0192123 | − | 0.0591294i | ||||
\(643\) | 2.36462 | − | 7.27755i | 0.0932515 | − | 0.286999i | −0.893543 | − | 0.448978i | \(-0.851788\pi\) |
0.986794 | + | 0.161980i | \(0.0517880\pi\) | |||||||
\(644\) | −1.09539 | − | 3.37127i | −0.0431645 | − | 0.132847i | ||||
\(645\) | −0.705113 | −0.0277638 | ||||||||
\(646\) | 0.207477 | 0.00816308 | ||||||||
\(647\) | 0.890050 | + | 2.73929i | 0.0349915 | + | 0.107693i | 0.967027 | − | 0.254675i | \(-0.0819685\pi\) |
−0.932035 | + | 0.362368i | \(0.881968\pi\) | |||||||
\(648\) | 0.669131 | − | 0.486152i | 0.0262859 | − | 0.0190978i | ||||
\(649\) | −22.5286 | − | 16.3680i | −0.884324 | − | 0.642499i | ||||
\(650\) | 2.47554 | 0.0970988 | ||||||||
\(651\) | −0.343806 | − | 3.99529i | −0.0134748 | − | 0.156588i | ||||
\(652\) | −10.1259 | −0.396562 | ||||||||
\(653\) | −6.40056 | − | 4.65028i | −0.250473 | − | 0.181980i | 0.455463 | − | 0.890255i | \(-0.349474\pi\) |
−0.705937 | + | 0.708275i | \(0.749474\pi\) | |||||||
\(654\) | −1.25058 | + | 0.908603i | −0.0489017 | + | 0.0355292i | ||||
\(655\) | 1.92849 | + | 5.93529i | 0.0753525 | + | 0.231911i | ||||
\(656\) | 33.6217 | 1.31271 | ||||||||
\(657\) | 6.83274 | 0.266570 | ||||||||
\(658\) | 0.299954 | + | 0.923163i | 0.0116934 | + | 0.0359886i | ||||
\(659\) | −0.496833 | + | 1.52910i | −0.0193539 | + | 0.0595651i | −0.960267 | − | 0.279083i | \(-0.909970\pi\) |
0.940913 | + | 0.338648i | \(0.109970\pi\) | |||||||
\(660\) | 0.920937 | − | 2.83435i | 0.0358474 | − | 0.110327i | ||||
\(661\) | 15.7590 | + | 11.4496i | 0.612953 | + | 0.445337i | 0.850453 | − | 0.526051i | \(-0.176328\pi\) |
−0.237500 | + | 0.971388i | \(0.576328\pi\) | |||||||
\(662\) | −1.45174 | − | 4.46800i | −0.0564235 | − | 0.173654i | ||||
\(663\) | 6.95581 | + | 5.05369i | 0.270141 | + | 0.196269i | ||||
\(664\) | 7.01101 | − | 5.09379i | 0.272080 | − | 0.197678i | ||||
\(665\) | 0.0210625 | − | 0.0648237i | 0.000816768 | − | 0.00251375i | ||||
\(666\) | −1.13834 | + | 0.827053i | −0.0441098 | + | 0.0320477i | ||||
\(667\) | 9.35587 | − | 6.79744i | 0.362261 | − | 0.263198i | ||||
\(668\) | 13.5349 | − | 41.6562i | 0.523681 | − | 1.61172i | ||||
\(669\) | 4.44949 | − | 3.23275i | 0.172027 | − | 0.124985i | ||||
\(670\) | 0.370273 | + | 0.269019i | 0.0143049 | + | 0.0103931i | ||||
\(671\) | −10.1959 | − | 31.3797i | −0.393607 | − | 1.21140i | ||||
\(672\) | −1.41939 | − | 1.03125i | −0.0547542 | − | 0.0397813i | ||||
\(673\) | −15.7021 | + | 48.3261i | −0.605272 | + | 1.86283i | −0.110359 | + | 0.993892i | \(0.535200\pi\) |
−0.494913 | + | 0.868943i | \(0.664800\pi\) | |||||||
\(674\) | 1.02136 | − | 3.14344i | 0.0393415 | − | 0.121081i | ||||
\(675\) | 1.50973 | + | 4.64646i | 0.0581094 | + | 0.178842i | ||||
\(676\) | 13.9394 | 0.536129 | ||||||||
\(677\) | 23.5935 | 0.906770 | 0.453385 | − | 0.891315i | \(-0.350216\pi\) | ||||
0.453385 | + | 0.891315i | \(0.350216\pi\) | |||||||
\(678\) | 1.19818 | + | 3.68760i | 0.0460156 | + | 0.141622i | ||||
\(679\) | −9.74025 | + | 7.07671i | −0.373796 | + | 0.271579i | ||||
\(680\) | −0.802903 | − | 0.583343i | −0.0307899 | − | 0.0223702i | ||||
\(681\) | 1.52051 | 0.0582661 | ||||||||
\(682\) | 4.82831 | − | 2.04138i | 0.184885 | − | 0.0781684i | ||||
\(683\) | −10.3947 | −0.397743 | −0.198871 | − | 0.980026i | \(-0.563728\pi\) | ||||
−0.198871 | + | 0.980026i | \(0.563728\pi\) | |||||||
\(684\) | −0.442790 | − | 0.321706i | −0.0169305 | − | 0.0123007i | ||||
\(685\) | 4.79173 | − | 3.48140i | 0.183083 | − | 0.133017i | ||||
\(686\) | 0.627260 | + | 1.93051i | 0.0239489 | + | 0.0737071i | ||||
\(687\) | −7.88460 | −0.300816 | ||||||||
\(688\) | 7.79545 | 0.297199 | ||||||||
\(689\) | −8.71205 | − | 26.8129i | −0.331903 | − | 1.02149i | ||||
\(690\) | 0.0549772 | − | 0.169202i | 0.00209294 | − | 0.00644142i | ||||
\(691\) | 14.9942 | − | 46.1476i | 0.570408 | − | 1.75554i | −0.0809000 | − | 0.996722i | \(-0.525779\pi\) |
0.651308 | − | 0.758813i | \(-0.274221\pi\) | |||||||
\(692\) | 14.4610 | + | 10.5065i | 0.549723 | + | 0.399397i | ||||
\(693\) | −1.00234 | − | 3.08487i | −0.0380756 | − | 0.117185i | ||||
\(694\) | 4.43513 | + | 3.22231i | 0.168355 | + | 0.122317i | ||||
\(695\) | −2.01548 | + | 1.46433i | −0.0764516 | + | 0.0555454i | ||||
\(696\) | 1.17484 | − | 3.61579i | 0.0445322 | − | 0.137056i | ||||
\(697\) | 25.8014 | − | 18.7458i | 0.977298 | − | 0.710048i | ||||
\(698\) | 1.53962 | − | 1.11860i | 0.0582757 | − | 0.0423397i | ||||
\(699\) | 5.05055 | − | 15.5440i | 0.191029 | − | 0.587927i | ||||
\(700\) | 5.56901 | − | 4.04612i | 0.210489 | − | 0.152929i | ||||
\(701\) | −19.1492 | − | 13.9127i | −0.723256 | − | 0.525476i | 0.164167 | − | 0.986433i | \(-0.447507\pi\) |
−0.887423 | + | 0.460956i | \(0.847507\pi\) | |||||||
\(702\) | 0.156580 | + | 0.481904i | 0.00590974 | + | 0.0181883i | ||||
\(703\) | 1.52340 | + | 1.10681i | 0.0574560 | + | 0.0417443i | ||||
\(704\) | −9.70024 | + | 29.8543i | −0.365592 | + | 1.12518i | ||||
\(705\) | 0.673864 | − | 2.07394i | 0.0253792 | − | 0.0781091i | ||||
\(706\) | −1.54870 | − | 4.76640i | −0.0582860 | − | 0.179386i | ||||
\(707\) | 13.2651 | 0.498887 | ||||||||
\(708\) | 12.0962 | 0.454604 | ||||||||
\(709\) | −8.62924 | − | 26.5581i | −0.324078 | − | 0.997409i | −0.971855 | − | 0.235579i | \(-0.924301\pi\) |
0.647777 | − | 0.761830i | \(-0.275699\pi\) | |||||||
\(710\) | 0.571404 | − | 0.415149i | 0.0214444 | − | 0.0155803i | ||||
\(711\) | 4.86655 | + | 3.53576i | 0.182510 | + | 0.132601i | ||||
\(712\) | 4.99869 | 0.187334 | ||||||||
\(713\) | −12.9019 | + | 5.45483i | −0.483178 | + | 0.204285i | ||||
\(714\) | −0.534114 | −0.0199887 | ||||||||
\(715\) | 2.98718 | + | 2.17031i | 0.111714 | + | 0.0811650i | ||||
\(716\) | 0.398495 | − | 0.289523i | 0.0148924 | − | 0.0108200i | ||||
\(717\) | −9.16302 | − | 28.2009i | −0.342199 | − | 1.05318i | ||||
\(718\) | 4.67519 | 0.174477 | ||||||||
\(719\) | −43.2306 | −1.61223 | −0.806114 | − | 0.591760i | \(-0.798433\pi\) | ||||
−0.806114 | + | 0.591760i | \(0.798433\pi\) | |||||||
\(720\) | 0.390903 | + | 1.20308i | 0.0145681 | + | 0.0448360i | ||||
\(721\) | 1.30948 | − | 4.03018i | 0.0487677 | − | 0.150092i | ||||
\(722\) | −1.22238 | + | 3.76211i | −0.0454924 | + | 0.140011i | ||||
\(723\) | 18.6702 | + | 13.5647i | 0.694351 | + | 0.504476i | ||||
\(724\) | −9.37277 | − | 28.8464i | −0.348336 | − | 1.07207i | ||||
\(725\) | 18.1684 | + | 13.2001i | 0.674758 | + | 0.490240i | ||||
\(726\) | 1.56996 | − | 1.14064i | 0.0582667 | − | 0.0423332i | ||||
\(727\) | −9.03429 | + | 27.8047i | −0.335063 | + | 1.03122i | 0.631628 | + | 0.775272i | \(0.282387\pi\) |
−0.966691 | + | 0.255947i | \(0.917613\pi\) | |||||||
\(728\) | 1.16807 | − | 0.848655i | 0.0432917 | − | 0.0314532i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 0.149312 | − | 0.459534i | 0.00552627 | − | 0.0170081i | ||||
\(731\) | 5.98225 | − | 4.34636i | 0.221261 | − | 0.160756i | ||||
\(732\) | 11.5951 | + | 8.42431i | 0.428566 | + | 0.311371i | ||||
\(733\) | −6.61028 | − | 20.3443i | −0.244156 | − | 0.751435i | −0.995774 | − | 0.0918367i | \(-0.970726\pi\) |
0.751618 | − | 0.659599i | \(-0.229274\pi\) | |||||||
\(734\) | 0.0903351 | + | 0.0656323i | 0.00333433 | + | 0.00242253i | ||||
\(735\) | 0.677477 | − | 2.08506i | 0.0249891 | − | 0.0769086i | ||||
\(736\) | −1.89383 | + | 5.82861i | −0.0698074 | + | 0.214845i | ||||
\(737\) | −9.00723 | − | 27.7214i | −0.331785 | − | 1.02113i | ||||
\(738\) | 1.87953 | 0.0691866 | ||||||||
\(739\) | 20.7645 | 0.763834 | 0.381917 | − | 0.924197i | \(-0.375264\pi\) | ||||
0.381917 | + | 0.924197i | \(0.375264\pi\) | |||||||
\(740\) | −1.37632 | − | 4.23587i | −0.0505945 | − | 0.155714i | ||||
\(741\) | 0.548596 | − | 0.398579i | 0.0201532 | − | 0.0146421i | ||||
\(742\) | 1.41690 | + | 1.02944i | 0.0520162 | + | 0.0377919i | ||||
\(743\) | −3.76121 | −0.137986 | −0.0689928 | − | 0.997617i | \(-0.521979\pi\) | ||||
−0.0689928 | + | 0.997617i | \(0.521979\pi\) | |||||||
\(744\) | −2.37740 | + | 3.94391i | −0.0871596 | + | 0.144591i | ||||
\(745\) | −0.526353 | −0.0192841 | ||||||||
\(746\) | −0.559978 | − | 0.406848i | −0.0205022 | − | 0.0148958i | ||||
\(747\) | −8.47670 | + | 6.15869i | −0.310146 | + | 0.225335i | ||||
\(748\) | 9.65780 | + | 29.7236i | 0.353124 | + | 1.08680i | ||||
\(749\) | 5.42712 | 0.198303 | ||||||||
\(750\) | 0.699067 | 0.0255263 | ||||||||
\(751\) | 4.89296 | + | 15.0590i | 0.178547 | + | 0.549510i | 0.999778 | − | 0.0210859i | \(-0.00671234\pi\) |
−0.821231 | + | 0.570596i | \(0.806712\pi\) | |||||||
\(752\) | −7.44997 | + | 22.9287i | −0.271673 | + | 0.836122i | ||||
\(753\) | 4.79864 | − | 14.7687i | 0.174872 | − | 0.538201i | ||||
\(754\) | 1.88432 | + | 1.36904i | 0.0686230 | + | 0.0498575i | ||||
\(755\) | −1.84280 | − | 5.67154i | −0.0670662 | − | 0.206408i | ||||
\(756\) | 1.13989 | + | 0.828176i | 0.0414573 | + | 0.0301205i | ||||
\(757\) | −14.6691 | + | 10.6577i | −0.533158 | + | 0.387362i | −0.821538 | − | 0.570154i | \(-0.806884\pi\) |
0.288379 | + | 0.957516i | \(0.406884\pi\) | |||||||
\(758\) | −2.14429 | + | 6.59944i | −0.0778841 | + | 0.239703i | ||||
\(759\) | −9.16647 | + | 6.65983i | −0.332722 | + | 0.241736i | ||||
\(760\) | −0.0633240 | + | 0.0460076i | −0.00229700 | + | 0.00166887i | ||||
\(761\) | −7.60197 | + | 23.3964i | −0.275571 | + | 0.848120i | 0.713497 | + | 0.700659i | \(0.247110\pi\) |
−0.989068 | + | 0.147462i | \(0.952890\pi\) | |||||||
\(762\) | −3.03993 | + | 2.20864i | −0.110125 | + | 0.0800104i | ||||
\(763\) | −4.30842 | − | 3.13025i | −0.155975 | − | 0.113323i | ||||
\(764\) | 4.58064 | + | 14.0978i | 0.165722 | + | 0.510039i | ||||
\(765\) | 0.970756 | + | 0.705295i | 0.0350977 | + | 0.0255000i | ||||
\(766\) | −0.312809 | + | 0.962726i | −0.0113022 | + | 0.0347847i | ||||
\(767\) | −4.63113 | + | 14.2532i | −0.167221 | + | 0.514652i | ||||
\(768\) | −3.89889 | − | 11.9995i | −0.140689 | − | 0.432996i | ||||
\(769\) | −22.6533 | −0.816900 | −0.408450 | − | 0.912781i | \(-0.633931\pi\) | ||||
−0.408450 | + | 0.912781i | \(0.633931\pi\) | |||||||
\(770\) | −0.229376 | −0.00826613 | ||||||||
\(771\) | 3.52041 | + | 10.8347i | 0.126784 | + | 0.390202i | ||||
\(772\) | 32.5519 | − | 23.6503i | 1.17157 | − | 0.851194i | ||||
\(773\) | 35.6378 | + | 25.8924i | 1.28180 | + | 0.931284i | 0.999606 | − | 0.0280723i | \(-0.00893688\pi\) |
0.282197 | + | 0.959357i | \(0.408937\pi\) | |||||||
\(774\) | 0.435784 | 0.0156639 | ||||||||
\(775\) | −17.8167 | − | 20.5548i | −0.639994 | − | 0.738352i | ||||
\(776\) | 13.8260 | 0.496324 | ||||||||
\(777\) | −3.92173 | − | 2.84930i | −0.140691 | − | 0.102218i | ||||
\(778\) | 5.51287 | − | 4.00534i | 0.197646 | − | 0.143598i | ||||
\(779\) | −0.777272 | − | 2.39220i | −0.0278487 | − | 0.0857094i | ||||
\(780\) | −1.60390 | −0.0574287 | ||||||||
\(781\) | −44.9811 | −1.60955 | ||||||||
\(782\) | 0.576541 | + | 1.77441i | 0.0206171 | + | 0.0634528i | ||||
\(783\) | −1.42045 | + | 4.37169i | −0.0507627 | + | 0.156232i | ||||
\(784\) | −7.48992 | + | 23.0516i | −0.267497 | + | 0.823272i | ||||
\(785\) | 2.60489 | + | 1.89256i | 0.0929724 | + | 0.0675484i | ||||
\(786\) | −1.19187 | − | 3.66821i | −0.0425128 | − | 0.130841i | ||||
\(787\) | −2.67199 | − | 1.94131i | −0.0952461 | − | 0.0692003i | 0.539143 | − | 0.842214i | \(-0.318748\pi\) |
−0.634389 | + | 0.773014i | \(0.718748\pi\) | |||||||
\(788\) | −8.78648 | + | 6.38375i | −0.313005 | + | 0.227412i | ||||
\(789\) | 8.30944 | − | 25.5738i | 0.295824 | − | 0.910453i | ||||
\(790\) | 0.344142 | − | 0.250034i | 0.0122440 | − | 0.00889581i | ||||
\(791\) | −10.8069 | + | 7.85166i | −0.384249 | + | 0.279173i | ||||
\(792\) | −1.15106 | + | 3.54259i | −0.0409010 | + | 0.125880i | ||||
\(793\) | −14.3658 | + | 10.4373i | −0.510143 | + | 0.370640i | ||||
\(794\) | 2.62517 | + | 1.90730i | 0.0931638 | + | 0.0676875i | ||||
\(795\) | −1.21586 | − | 3.74203i | −0.0431221 | − | 0.132716i | ||||
\(796\) | 8.76817 | + | 6.37045i | 0.310780 | + | 0.225795i | ||||
\(797\) | −3.71267 | + | 11.4264i | −0.131510 | + | 0.404745i | −0.995031 | − | 0.0995677i | \(-0.968254\pi\) |
0.863521 | + | 0.504312i | \(0.168254\pi\) | |||||||
\(798\) | −0.0130173 | + | 0.0400632i | −0.000460808 | + | 0.00141822i | ||||
\(799\) | 7.06676 | + | 21.7492i | 0.250004 | + | 0.769433i | ||||
\(800\) | −11.9012 | −0.420771 | ||||||||
\(801\) | −6.04370 | −0.213544 | ||||||||
\(802\) | −1.05431 | − | 3.24482i | −0.0372288 | − | 0.114579i | ||||
\(803\) | −24.8951 | + | 18.0873i | −0.878528 | + | 0.638288i | ||||
\(804\) | 10.2433 | + | 7.44219i | 0.361253 | + | 0.262466i | ||||
\(805\) | 0.612922 | 0.0216026 | ||||||||
\(806\) | −1.84784 | − | 2.13183i | −0.0650875 | − | 0.0750905i | ||||
\(807\) | −11.5400 | −0.406226 | ||||||||
\(808\) | −12.3240 | − | 8.95394i | −0.433558 | − | 0.314998i | ||||
\(809\) | −14.7819 | + | 10.7397i | −0.519705 | + | 0.377588i | −0.816493 | − | 0.577355i | \(-0.804085\pi\) |
0.296787 | + | 0.954944i | \(0.404085\pi\) | |||||||
\(810\) | 0.0218524 | + | 0.0672548i | 0.000767815 | + | 0.00236309i | ||||
\(811\) | −9.96726 | −0.349998 | −0.174999 | − | 0.984569i | \(-0.555992\pi\) | ||||
−0.174999 | + | 0.984569i | \(0.555992\pi\) | |||||||
\(812\) | 6.47660 | 0.227284 | ||||||||
\(813\) | −4.20004 | − | 12.9264i | −0.147302 | − | 0.453349i | ||||
\(814\) | 1.95821 | − | 6.02674i | 0.0686351 | − | 0.211237i | ||||
\(815\) | 0.541047 | − | 1.66517i | 0.0189520 | − | 0.0583284i | ||||
\(816\) | −10.7323 | − | 7.79746i | −0.375705 | − | 0.272966i | ||||
\(817\) | −0.180216 | − | 0.554649i | −0.00630498 | − | 0.0194047i | ||||
\(818\) | 2.69092 | + | 1.95506i | 0.0940857 | + | 0.0683572i | ||||
\(819\) | −1.41227 | + | 1.02607i | −0.0493486 | + | 0.0358539i | ||||
\(820\) | −1.83846 | + | 5.65820i | −0.0642018 | + | 0.197593i | ||||
\(821\) | 0.882103 | − | 0.640885i | 0.0307856 | − | 0.0223670i | −0.572286 | − | 0.820054i | \(-0.693943\pi\) |
0.603072 | + | 0.797687i | \(0.293943\pi\) | |||||||
\(822\) | −2.96145 | + | 2.15162i | −0.103293 | + | 0.0750464i | ||||
\(823\) | −2.94985 | + | 9.07872i | −0.102825 | + | 0.316464i | −0.989214 | − | 0.146478i | \(-0.953206\pi\) |
0.886388 | + | 0.462942i | \(0.153206\pi\) | |||||||
\(824\) | −3.93694 | + | 2.86036i | −0.137150 | + | 0.0996452i | ||||
\(825\) | −17.8006 | − | 12.9329i | −0.619738 | − | 0.450266i | ||||
\(826\) | −0.287695 | − | 0.885433i | −0.0100102 | − | 0.0308081i | ||||
\(827\) | 35.9494 | + | 26.1188i | 1.25008 | + | 0.908239i | 0.998227 | − | 0.0595260i | \(-0.0189589\pi\) |
0.251856 | + | 0.967765i | \(0.418959\pi\) | |||||||
\(828\) | 1.52090 | − | 4.68084i | 0.0528548 | − | 0.162670i | ||||
\(829\) | 13.1912 | − | 40.5985i | 0.458151 | − | 1.41004i | −0.409245 | − | 0.912424i | \(-0.634208\pi\) |
0.867396 | − | 0.497619i | \(-0.165792\pi\) | |||||||
\(830\) | 0.228965 | + | 0.704681i | 0.00794748 | + | 0.0244598i | ||||
\(831\) | 2.16824 | 0.0752154 | ||||||||
\(832\) | 16.8939 | 0.585689 | ||||||||
\(833\) | 7.10465 | + | 21.8659i | 0.246162 | + | 0.757607i | ||||
\(834\) | 1.24564 | − | 0.905008i | 0.0431329 | − | 0.0313379i | ||||
\(835\) | 6.12701 | + | 4.45153i | 0.212034 | + | 0.154052i | ||||
\(836\) | 2.46491 | 0.0852507 | ||||||||
\(837\) | 2.87441 | − | 4.76841i | 0.0993541 | − | 0.164821i | ||||
\(838\) | 4.19134 | 0.144788 | ||||||||
\(839\) | −35.0361 | − | 25.4552i | −1.20958 | − | 0.878813i | −0.214389 | − | 0.976748i | \(-0.568776\pi\) |
−0.995193 | + | 0.0979355i | \(0.968776\pi\) | |||||||
\(840\) | 0.163017 | − | 0.118439i | 0.00562462 | − | 0.00408652i | ||||
\(841\) | −2.43216 | − | 7.48541i | −0.0838675 | − | 0.258118i | ||||
\(842\) | −4.92831 | −0.169841 | ||||||||
\(843\) | −9.80035 | −0.337542 | ||||||||
\(844\) | 4.82650 | + | 14.8544i | 0.166135 | + | 0.511311i | ||||
\(845\) | −0.744805 | + | 2.29228i | −0.0256221 | + | 0.0788567i | ||||
\(846\) | −0.416471 | + | 1.28177i | −0.0143186 | + | 0.0440680i | ||||
\(847\) | 5.40871 | + | 3.92966i | 0.185845 | + | 0.135025i | ||||
\(848\) | 13.4420 | + | 41.3704i | 0.461602 | + | 1.42066i | ||||
\(849\) | −2.62037 | − | 1.90381i | −0.0899308 | − | 0.0653386i | ||||
\(850\) | −2.93115 | + | 2.12961i | −0.100538 | + | 0.0730449i | ||||
\(851\) | −5.23258 | + | 16.1042i | −0.179370 | + | 0.552046i | ||||
\(852\) | 15.8074 | − | 11.4848i | 0.541553 | − | 0.393461i | ||||
\(853\) | 2.37970 | − | 1.72895i | 0.0814793 | − | 0.0591982i | −0.546300 | − | 0.837590i | \(-0.683964\pi\) |
0.627779 | + | 0.778391i | \(0.283964\pi\) | |||||||
\(854\) | 0.340877 | − | 1.04911i | 0.0116646 | − | 0.0358998i | ||||
\(855\) | 0.0765624 | − | 0.0556258i | 0.00261838 | − | 0.00190236i | ||||
\(856\) | −5.04210 | − | 3.66330i | −0.172335 | − | 0.125209i | ||||
\(857\) | 1.71891 | + | 5.29026i | 0.0587169 | + | 0.180712i | 0.976113 | − | 0.217263i | \(-0.0697130\pi\) |
−0.917396 | + | 0.397975i | \(0.869713\pi\) | |||||||
\(858\) | −1.84618 | − | 1.34133i | −0.0630274 | − | 0.0457921i | ||||
\(859\) | 5.36355 | − | 16.5073i | 0.183002 | − | 0.563222i | −0.816906 | − | 0.576770i | \(-0.804313\pi\) |
0.999908 | + | 0.0135484i | \(0.00431273\pi\) | |||||||
\(860\) | −0.426261 | + | 1.31190i | −0.0145354 | + | 0.0447353i | ||||
\(861\) | 2.00096 | + | 6.15831i | 0.0681924 | + | 0.209875i | ||||
\(862\) | −2.31683 | −0.0789115 | ||||||||
\(863\) | 14.5198 | 0.494260 | 0.247130 | − | 0.968982i | \(-0.420513\pi\) | ||||
0.247130 | + | 0.968982i | \(0.420513\pi\) | |||||||
\(864\) | −0.752762 | − | 2.31676i | −0.0256095 | − | 0.0788179i | ||||
\(865\) | −2.50043 | + | 1.81667i | −0.0850172 | + | 0.0617686i | ||||
\(866\) | 0.480771 | + | 0.349301i | 0.0163373 | + | 0.0118697i | ||||
\(867\) | 4.41653 | 0.149993 | ||||||||
\(868\) | −7.64127 | − | 1.77560i | −0.259361 | − | 0.0602678i | ||||
\(869\) | −27.0910 | −0.918998 | ||||||||
\(870\) | 0.262977 | + | 0.191064i | 0.00891575 | + | 0.00647767i | ||||
\(871\) | −12.6910 | + | 9.22053i | −0.430017 | + | 0.312426i | ||||
\(872\) | 1.88985 | + | 5.81635i | 0.0639983 | + | 0.196966i | ||||
\(873\) | −16.7164 | −0.565765 | ||||||||
\(874\) | 0.147148 | 0.00497734 | ||||||||
\(875\) | 0.744228 | + | 2.29050i | 0.0251595 | + | 0.0774330i | ||||
\(876\) | 4.13058 | − | 12.7126i | 0.139560 | − | 0.429520i | ||||
\(877\) | 2.86408 | − | 8.81473i | 0.0967131 | − | 0.297652i | −0.890983 | − | 0.454036i | \(-0.849984\pi\) |
0.987696 | + | 0.156384i | \(0.0499837\pi\) | |||||||
\(878\) | −3.05353 | − | 2.21852i | −0.103052 | − | 0.0748715i | ||||
\(879\) | −1.52931 | − | 4.70672i | −0.0515823 | − | 0.158754i | ||||
\(880\) | −4.60899 | − | 3.34863i | −0.155369 | − | 0.112882i | ||||
\(881\) | 3.22811 | − | 2.34536i | 0.108758 | − | 0.0790171i | −0.532077 | − | 0.846696i | \(-0.678588\pi\) |
0.640835 | + | 0.767679i | \(0.278588\pi\) | |||||||
\(882\) | −0.418704 | + | 1.28864i | −0.0140985 | + | 0.0433907i | ||||
\(883\) | −20.6783 | + | 15.0237i | −0.695880 | + | 0.505587i | −0.878588 | − | 0.477581i | \(-0.841514\pi\) |
0.182708 | + | 0.983167i | \(0.441514\pi\) | |||||||
\(884\) | 13.6076 | − | 9.88651i | 0.457674 | − | 0.332519i | ||||
\(885\) | −0.646323 | + | 1.98918i | −0.0217259 | + | 0.0668655i | ||||
\(886\) | −1.76909 | + | 1.28532i | −0.0594338 | + | 0.0431812i | ||||
\(887\) | 25.6014 | + | 18.6005i | 0.859610 | + | 0.624543i | 0.927779 | − | 0.373131i | \(-0.121716\pi\) |
−0.0681690 | + | 0.997674i | \(0.521716\pi\) | |||||||
\(888\) | 1.72023 | + | 5.29432i | 0.0577270 | + | 0.177666i | ||||
\(889\) | −10.4729 | − | 7.60903i | −0.351251 | − | 0.255199i | ||||
\(890\) | −0.132069 | + | 0.406468i | −0.00442698 | + | 0.0136248i | ||||
\(891\) | 1.39169 | − | 4.28319i | 0.0466235 | − | 0.143492i | ||||
\(892\) | −3.32483 | − | 10.2328i | −0.111324 | − | 0.342619i | ||||
\(893\) | 1.80361 | 0.0603556 | ||||||||
\(894\) | 0.325304 | 0.0108798 | ||||||||
\(895\) | 0.0263187 | + | 0.0810007i | 0.000879738 | + | 0.00270756i | ||||
\(896\) | −3.68783 | + | 2.67936i | −0.123202 | + | 0.0895113i | ||||
\(897\) | 4.93322 | + | 3.58419i | 0.164715 | + | 0.119673i | ||||
\(898\) | −3.09313 | −0.103219 | ||||||||
\(899\) | −2.19426 | − | 25.4989i | −0.0731825 | − | 0.850437i | ||||
\(900\) | 9.55764 | 0.318588 | ||||||||
\(901\) | 33.3815 | + | 24.2531i | 1.11210 | + | 0.807988i | ||||
\(902\) | −6.84808 | + | 4.97542i | −0.228016 | + | 0.165663i | ||||
\(903\) | 0.463937 | + | 1.42785i | 0.0154388 | + | 0.0475159i | ||||
\(904\) | 15.3400 | 0.510202 | ||||||||
\(905\) | 5.24449 | 0.174333 | ||||||||
\(906\) | 1.13891 | + | 3.50520i | 0.0378378 | + | 0.116453i | ||||
\(907\) | −2.50061 | + | 7.69609i | −0.0830314 | + | 0.255545i | −0.983950 | − | 0.178443i | \(-0.942894\pi\) |
0.900919 | + | 0.433988i | \(0.142894\pi\) | |||||||
\(908\) | 0.919192 | − | 2.82898i | 0.0305045 | − | 0.0938831i | ||||
\(909\) | 14.9005 | + | 10.8258i | 0.494217 | + | 0.359070i | ||||
\(910\) | 0.0381468 | + | 0.117404i | 0.00126455 | + | 0.00389190i | ||||
\(911\) | 3.23820 | + | 2.35269i | 0.107286 | + | 0.0779482i | 0.640135 | − | 0.768262i | \(-0.278878\pi\) |
−0.532848 | + | 0.846211i | \(0.678878\pi\) | |||||||
\(912\) | −0.846443 | + | 0.614977i | −0.0280285 | + | 0.0203639i | ||||
\(913\) | 14.5819 | − | 44.8783i | 0.482589 | − | 1.48526i | ||||
\(914\) | 0.449392 | − | 0.326502i | 0.0148646 | − | 0.0107997i | ||||
\(915\) | −2.00489 | + | 1.45664i | −0.0662797 | + | 0.0481550i | ||||
\(916\) | −4.76647 | + | 14.6697i | −0.157488 | + | 0.484700i | ||||
\(917\) | 10.7501 | − | 7.81038i | 0.354998 | − | 0.257921i | ||||
\(918\) | −0.599960 | − | 0.435897i | −0.0198016 | − | 0.0143867i | ||||
\(919\) | 8.08184 | + | 24.8734i | 0.266595 | + | 0.820496i | 0.991322 | + | 0.131459i | \(0.0419663\pi\) |
−0.724726 | + | 0.689037i | \(0.758034\pi\) | |||||||
\(920\) | −0.569438 | − | 0.413721i | −0.0187738 | − | 0.0136400i | ||||
\(921\) | −6.91909 | + | 21.2948i | −0.227992 | + | 0.701687i | ||||
\(922\) | −0.123859 | + | 0.381199i | −0.00407908 | + | 0.0125541i | ||||
\(923\) | 7.48067 | + | 23.0231i | 0.246229 | + | 0.757816i | ||||
\(924\) | −6.34549 | −0.208751 | ||||||||
\(925\) | −32.8826 | −1.08117 | ||||||||
\(926\) | −0.377376 | − | 1.16144i | −0.0124014 | − | 0.0381674i | ||||
\(927\) | 4.75999 | − | 3.45833i | 0.156339 | − | 0.113587i | ||||
\(928\) | −9.05891 | − | 6.58169i | −0.297373 | − | 0.216054i | ||||
\(929\) | 24.8746 | 0.816108 | 0.408054 | − | 0.912958i | \(-0.366207\pi\) | ||||
0.408054 | + | 0.912958i | \(0.366207\pi\) | |||||||
\(930\) | −0.257886 | − | 0.297519i | −0.00845641 | − | 0.00975603i | ||||
\(931\) | 1.81328 | 0.0594280 | ||||||||
\(932\) | −25.8671 | − | 18.7936i | −0.847305 | − | 0.615603i | ||||
\(933\) | 24.2082 | − | 17.5883i | 0.792541 | − | 0.575815i | ||||
\(934\) | −0.0301149 | − | 0.0926840i | −0.000985388 | − | 0.00303271i | ||||
\(935\) | −5.40398 | −0.176729 | ||||||||
\(936\) | 2.00467 | 0.0655247 | ||||||||
\(937\) | −13.8591 | − | 42.6539i | −0.452757 | − | 1.39344i | −0.873749 | − | 0.486377i | \(-0.838318\pi\) |
0.420992 | − | 0.907064i | \(-0.361682\pi\) | |||||||
\(938\) | 0.301137 | − | 0.926804i | 0.00983247 | − | 0.0302612i | ||||
\(939\) | −5.36984 | + | 16.5267i | −0.175238 | + | 0.539327i | ||||
\(940\) | −3.45129 | − | 2.50751i | −0.112569 | − | 0.0817860i | ||||
\(941\) | −0.158614 | − | 0.488163i | −0.00517066 | − | 0.0159136i | 0.948438 | − | 0.316963i | \(-0.102663\pi\) |
−0.953609 | + | 0.301049i | \(0.902663\pi\) | |||||||
\(942\) | −1.60991 | − | 1.16967i | −0.0524536 | − | 0.0381098i | ||||
\(943\) | 18.2990 | − | 13.2950i | 0.595896 | − | 0.432944i | ||||
\(944\) | 7.14549 | − | 21.9916i | 0.232566 | − | 0.715764i | ||||
\(945\) | −0.197097 | + | 0.143199i | −0.00641156 | + | 0.00465827i | ||||
\(946\) | −1.58778 | + | 1.15359i | −0.0516231 | + | 0.0375064i | ||||
\(947\) | 4.03005 | − | 12.4032i | 0.130959 | − | 0.403050i | −0.863981 | − | 0.503525i | \(-0.832036\pi\) |
0.994940 | + | 0.100475i | \(0.0320362\pi\) | |||||||
\(948\) | 9.52041 | − | 6.91698i | 0.309209 | − | 0.224653i | ||||
\(949\) | 13.3981 | + | 9.73427i | 0.434920 | + | 0.315988i | ||||
\(950\) | 0.0883016 | + | 0.271764i | 0.00286488 | + | 0.00881720i | ||||
\(951\) | −17.7866 | − | 12.9227i | −0.576771 | − | 0.419049i | ||||
\(952\) | −0.652988 | + | 2.00969i | −0.0211635 | + | 0.0651345i | ||||
\(953\) | 6.76088 | − | 20.8079i | 0.219006 | − | 0.674032i | −0.779838 | − | 0.625981i | \(-0.784699\pi\) |
0.998845 | − | 0.0480516i | \(-0.0153012\pi\) | |||||||
\(954\) | 0.751442 | + | 2.31270i | 0.0243288 | + | 0.0748764i | ||||
\(955\) | −2.56308 | −0.0829393 | ||||||||
\(956\) | −58.0084 | −1.87612 | ||||||||
\(957\) | −6.39715 | − | 19.6884i | −0.206791 | − | 0.636436i | ||||
\(958\) | 2.58038 | − | 1.87475i | 0.0833681 | − | 0.0605705i | ||||
\(959\) | −10.2026 | − | 7.41261i | −0.329458 | − | 0.239366i | ||||
\(960\) | 2.35772 | 0.0760949 | ||||||||
\(961\) | −4.40185 | + | 30.6859i | −0.141995 | + | 0.989867i | ||||
\(962\) | −3.41039 | −0.109956 | ||||||||
\(963\) | 6.09618 | + | 4.42914i | 0.196447 | + | 0.142727i | ||||
\(964\) | 36.5244 | − | 26.5365i | 1.17637 | − | 0.854684i | ||||
\(965\) | 2.14990 | + | 6.61672i | 0.0692078 | + | 0.213000i | ||||
\(966\) | −0.378806 | −0.0121879 | ||||||||
\(967\) | 23.4563 | 0.754303 | 0.377152 | − | 0.926152i | \(-0.376904\pi\) | ||||
0.377152 | + | 0.926152i | \(0.376904\pi\) | |||||||
\(968\) | −2.37248 | − | 7.30174i | −0.0762543 | − | 0.234687i | ||||
\(969\) | −0.306682 | + | 0.943869i | −0.00985204 | + | 0.0303215i | ||||
\(970\) | −0.365294 | + | 1.12426i | −0.0117289 | + | 0.0360978i | ||||
\(971\) | −35.6422 | − | 25.8956i | −1.14381 | − | 0.831028i | −0.156166 | − | 0.987731i | \(-0.549914\pi\) |
−0.987646 | + | 0.156703i | \(0.949914\pi\) | |||||||
\(972\) | 0.604528 | + | 1.86055i | 0.0193903 | + | 0.0596771i | ||||
\(973\) | 4.29138 | + | 3.11787i | 0.137575 | + | 0.0999542i | ||||
\(974\) | −0.742347 | + | 0.539347i | −0.0237863 | + | 0.0172818i | ||||
\(975\) | −3.65922 | + | 11.2619i | −0.117189 | + | 0.360670i | ||||
\(976\) | 22.1653 | − | 16.1040i | 0.709493 | − | 0.515477i | ||||
\(977\) | 30.9390 | − | 22.4785i | 0.989828 | − | 0.719152i | 0.0299443 | − | 0.999552i | \(-0.490467\pi\) |
0.959883 | + | 0.280400i | \(0.0904670\pi\) | |||||||
\(978\) | −0.334385 | + | 1.02913i | −0.0106925 | + | 0.0329080i | ||||
\(979\) | 22.0202 | − | 15.9986i | 0.703770 | − | 0.511319i | ||||
\(980\) | −3.46980 | − | 2.52096i | −0.110839 | − | 0.0805290i | ||||
\(981\) | −2.28493 | − | 7.03230i | −0.0729522 | − | 0.224524i | ||||
\(982\) | 1.26117 | + | 0.916293i | 0.0402455 | + | 0.0292401i | ||||
\(983\) | 8.30309 | − | 25.5543i | 0.264827 | − | 0.815055i | −0.726906 | − | 0.686737i | \(-0.759042\pi\) |
0.991733 | − | 0.128318i | \(-0.0409577\pi\) | |||||||
\(984\) | 2.29785 | − | 7.07204i | 0.0732527 | − | 0.225449i | ||||
\(985\) | −0.580306 | − | 1.78600i | −0.0184901 | − | 0.0569067i | ||||
\(986\) | −3.40885 | −0.108560 | ||||||||
\(987\) | −4.64309 | −0.147791 | ||||||||
\(988\) | −0.409932 | − | 1.26164i | −0.0130417 | − | 0.0401382i | ||||
\(989\) | 4.24275 | − | 3.08254i | 0.134912 | − | 0.0980190i | ||||
\(990\) | −0.257653 | − | 0.187196i | −0.00818876 | − | 0.00594948i | ||||
\(991\) | 35.4899 | 1.12737 | 0.563686 | − | 0.825989i | \(-0.309383\pi\) | ||||
0.563686 | + | 0.825989i | \(0.309383\pi\) | |||||||
\(992\) | 8.88354 | + | 10.2488i | 0.282053 | + | 0.325400i | ||||
\(993\) | 22.4720 | 0.713128 | ||||||||
\(994\) | −1.21664 | − | 0.883937i | −0.0385893 | − | 0.0280368i | ||||
\(995\) | −1.51610 | + | 1.10151i | −0.0480635 | + | 0.0349202i | ||||
\(996\) | 6.33412 | + | 19.4944i | 0.200704 | + | 0.617704i | ||||
\(997\) | −38.4715 | −1.21841 | −0.609203 | − | 0.793014i | \(-0.708511\pi\) | ||||
−0.609203 | + | 0.793014i | \(0.708511\pi\) | |||||||
\(998\) | 6.68468 | 0.211600 | ||||||||
\(999\) | −2.07985 | − | 6.40113i | −0.0658036 | − | 0.202523i |
(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 | 93.2.f.a.64.1 | yes | 8 | |
3.2 | odd | 2 | 279.2.i.b.64.2 | 8 | |||
31.4 | even | 5 | 2883.2.a.k.1.3 | 4 | |||
31.16 | even | 5 | inner | 93.2.f.a.16.1 | ✓ | 8 | |
31.27 | odd | 10 | 2883.2.a.l.1.3 | 4 | |||
93.35 | odd | 10 | 8649.2.a.w.1.2 | 4 | |||
93.47 | odd | 10 | 279.2.i.b.109.2 | 8 | |||
93.89 | even | 10 | 8649.2.a.x.1.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.f.a.16.1 | ✓ | 8 | 31.16 | even | 5 | inner | |
93.2.f.a.64.1 | yes | 8 | 1.1 | even | 1 | trivial | |
279.2.i.b.64.2 | 8 | 3.2 | odd | 2 | |||
279.2.i.b.109.2 | 8 | 93.47 | odd | 10 | |||
2883.2.a.k.1.3 | 4 | 31.4 | even | 5 | |||
2883.2.a.l.1.3 | 4 | 31.27 | odd | 10 | |||
8649.2.a.w.1.2 | 4 | 93.35 | odd | 10 | |||
8649.2.a.x.1.2 | 4 | 93.89 | even | 10 |